1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369 2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413 2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455 2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497 2498 2499 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583 2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597 2598 2599 2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627 2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641 2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655 2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669 2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683 2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713 2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727 2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755 2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769 2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783 2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813 2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883 2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897 2898 2899 2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927 2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969 2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983 2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997 2998 2999 3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027 3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069 3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097 3098 3099 3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155 3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327 3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383 3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483 3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497 3498 3499 3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513 3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527 3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555 3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613 3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627 3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641 3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655 3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 3699 3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727 3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755 3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797 3798 3799 3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813 3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855 3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883 3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013 4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055 4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069 4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097 4098 4099 4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181 4182 4183 4184 4185 4186 4187 4188 4189 4190 4191 4192 4193 4194 4195 4196 4197 4198 4199 4200 4201 4202 4203 4204 4205 4206 4207 4208 4209 4210 4211 4212 4213 4214 4215 4216 4217 4218 4219 4220 4221 4222 4223 4224 4225 4226 4227 4228 4229 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240 4241 4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269 4270 4271 4272 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311 4312 4313 4314 4315 4316 4317 4318 4319 4320 4321 4322 4323 4324 4325 4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336 4337 4338 4339 4340 4341 4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354 4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369 4370 4371 4372 4373 4374 4375 4376 4377 4378 4379 4380 4381 4382 4383 4384 4385 4386 4387 4388 4389 4390 4391 4392 4393 4394 4395 4396 4397 4398 4399 4400 4401 4402 4403 4404 4405 4406 4407 4408 4409 4410 4411 4412 4413 4414 4415 4416 4417 4418 4419 4420 4421 4422 4423 4424 4425 4426 4427 4428 4429 4430 4431 4432 4433 4434 4435 4436 4437 4438 4439 4440 4441 4442 4443 4444 4445 4446 4447 4448 4449 4450 4451 4452 4453 4454 4455 4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483 4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497 4498 4499 4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555 4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569 4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597 4598 4599 4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627 4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 4654 4655 4656 4657 4658 4659 4660 4661 4662 4663 4664 4665 4666 4667 4668 4669 4670 4671 4672 4673 4674 4675 4676 4677 4678 4679 4680 4681 4682 4683 4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 4698 4699 4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727 4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741 4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755 4756 4757 4758 4759 4760 4761 4762 4763 4764 4765 4766 4767 4768 4769 4770 4771 4772 4773 4774 4775 4776 4777 4778 4779 4780 4781 4782 4783 4784 4785 4786 4787 4788 4789 4790 4791 4792 4793 4794 4795 4796 4797 4798 4799 4800 4801 4802 4803 4804 4805 4806 4807 4808 4809 4810 4811 4812 4813 4814 4815 4816 4817 4818 4819 4820 4821 4822 4823 4824 4825 4826 4827 4828 4829 4830 4831 4832 4833 4834 4835 4836 4837 4838 4839 4840 4841 4842 4843 4844 4845 4846 4847 4848 4849 4850 4851 4852 4853 4854 4855 4856 4857 4858 4859 4860 4861 4862 4863 4864 4865 4866 4867 4868 4869 4870 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883 4884 4885 4886 4887 4888 4889 4890 4891 4892 4893 4894 4895 4896 4897 4898 4899 4900 4901 4902 4903 4904 4905 4906 4907 4908 4909 4910 4911 4912 4913 4914 4915 4916 4917 4918 4919 4920 4921 4922 4923 4924 4925 4926 4927 4928 4929 4930 4931 4932 4933 4934 4935 4936 4937 4938 4939 4940 4941 4942 4943 4944 4945 4946 4947 4948 4949 4950 4951 4952 4953 4954 4955 4956 4957 4958 4959 4960 4961 4962 4963 4964 4965 4966 4967 4968 4969 4970 4971 4972 4973 4974 4975 4976 4977 4978 4979 4980 4981 4982 4983 4984 4985 4986 4987 4988 4989 4990 4991 4992 4993 4994 4995 4996 4997 4998 4999 5000 5001 5002 5003 5004 5005 5006 5007 5008 5009 5010 5011 5012 5013 5014 5015 5016 5017 5018 5019 5020 5021 5022 5023 5024 5025 5026 5027 5028 5029 5030 5031 5032 5033 5034 5035 5036 5037 5038 5039 5040 5041 5042 5043 5044 5045 5046 5047 5048 5049 5050 5051 5052 5053 5054 5055 5056 5057 5058 5059 5060 5061 5062 5063 5064 5065 5066 5067 5068 5069 5070 5071 5072 5073 5074 5075 5076 5077 5078 5079 5080 5081 5082 5083 5084 5085 5086 5087 5088 5089 5090 5091 5092 5093 5094 5095 5096 5097 5098 5099 5100 5101 5102 5103 5104 5105 5106 5107 5108 5109 5110 5111 5112 5113 5114 5115 5116 5117 5118 5119 5120 5121 5122 5123 5124 5125 5126 5127 5128 5129 5130 5131 5132 5133 5134 5135 5136 5137 5138 5139 5140 5141 5142 5143 5144 5145 5146 5147 5148 5149 5150 5151 5152 5153 5154 5155 5156 5157 5158 5159 5160 5161 5162 5163 5164 5165 5166 5167 5168 5169 5170 5171 5172 5173 5174 5175 5176 5177 5178 5179 5180 5181 5182 5183 5184 5185 5186 5187 5188 5189 5190 5191 5192 5193 5194 5195 5196 5197 5198 5199 5200 5201 5202 5203 5204 5205 5206 5207 5208 5209 5210 5211 5212 5213 5214 5215 5216 5217 5218 5219 5220 5221 5222 5223 5224 5225 5226 5227 5228 5229 5230 5231 5232 5233 5234 5235 5236 5237 5238 5239 5240 5241 5242 5243 5244 5245 5246 5247 5248 5249 5250 5251 5252 5253 5254 5255 5256 5257 5258 5259 5260 5261 5262 5263 5264 5265 5266 5267 5268 5269 5270 5271 5272 5273 5274 5275 5276 5277 5278 5279 5280 5281 5282 5283 5284 5285 5286 5287 5288 5289 5290 5291 5292 5293 5294 5295 5296 5297 5298 5299 5300 5301 5302 5303 5304 5305 5306 5307 5308 5309 5310 5311 5312 5313 5314 5315 5316 5317 5318 5319 5320 5321 5322 5323 5324 5325 5326 5327 5328 5329 5330 5331 5332 5333 5334 5335 5336 5337 5338 5339 5340 5341 5342 5343 5344 5345 5346 5347 5348 5349 5350 5351 5352 5353 5354 5355 5356 5357 5358 5359 5360 5361 5362 5363 5364 5365 5366 5367 5368 5369 5370 5371 5372 5373 5374 5375 5376 5377 5378 5379 5380 5381 5382 5383 5384 5385 5386 5387 5388 5389 5390 5391 5392 5393 5394 5395 5396 5397 5398 5399 5400 5401 5402 5403 5404 5405 5406 5407 5408 5409 5410 5411 5412 5413 5414 5415 5416 5417 5418 5419 5420 5421 5422 5423 5424 5425 5426 5427 5428 5429 5430 5431 5432 5433 5434 5435 5436 5437 5438 5439 5440 5441 5442 5443 5444 5445 5446 5447 5448 5449 5450 5451 5452 5453 5454 5455 5456 5457 5458 5459 5460 5461 5462 5463 5464 5465 5466 5467 5468 5469 5470 5471 5472 5473 5474 5475 5476 5477 5478 5479 5480 5481 5482 5483 5484 5485 5486 5487 5488 5489 5490 5491 5492 5493 5494 5495 5496 5497 5498 5499 5500 5501 5502 5503 5504 5505 5506 5507 5508 5509 5510 5511 5512 5513 5514 5515 5516 5517 5518 5519 5520 5521 5522 5523 5524 5525 5526 5527 5528 5529 5530 5531 5532 5533 5534 5535 5536 5537 5538 5539 5540 5541 5542 5543 5544 5545 5546 5547 5548 5549 5550 5551 5552 5553 5554 5555 5556 5557 5558 5559 5560 5561 5562 5563 5564 5565 5566 5567 5568 5569 5570 5571 5572 5573 5574 5575 5576 5577 5578 5579 5580 5581 5582 5583 5584 5585 5586 5587 5588 5589 5590 5591 5592 5593 5594 5595 5596 5597 5598 5599 5600 5601 5602 5603 5604 5605 5606 5607 5608 5609 5610 5611 5612 5613 5614 5615 5616 5617 5618 5619 5620 5621 5622 5623 5624 5625 5626 5627 5628 5629 5630 5631 5632 5633 5634 5635 5636 5637 5638 5639 5640 5641 5642 5643 5644 5645 5646 5647 5648 5649 5650 5651 5652 5653 5654 5655 5656 5657 5658 5659 5660 5661 5662 5663 5664 5665 5666 5667 5668 5669 5670 5671 5672 5673 5674 5675 5676 5677 5678 5679 5680 5681 5682 5683 5684 5685 5686 5687 5688 5689 5690 5691 5692 5693 5694 5695 5696 5697 5698 5699 5700 5701 5702 5703 5704 5705 5706 5707 5708 5709 5710 5711 5712 5713 5714 5715 5716 5717 5718 5719 5720 5721 5722 5723 5724 5725 5726 5727 5728 5729 5730 5731 5732 5733 5734 5735 5736 5737 5738 5739 5740 5741 5742 5743 5744 5745 5746 5747 5748 5749 5750 5751 5752 5753 5754 5755 5756 5757 5758 5759 5760 5761 5762 5763 5764 5765 5766 5767 5768 5769 5770 5771 5772 5773 5774 5775 5776 5777 5778 5779 5780 5781 5782 5783 5784 5785 5786 5787 5788 5789 5790 5791 5792 5793 5794 5795 5796 5797 5798 5799 5800 5801 5802 5803 5804 5805 5806 5807 5808 5809 5810 5811 5812 5813 5814 5815 5816 5817 5818 5819 5820 5821 5822 5823 5824 5825 5826 5827 5828 5829 5830 5831 5832 5833 5834 5835 5836 5837 5838 5839 5840 5841 5842 5843 5844 5845 5846 5847 5848 5849 5850 5851 5852 5853 5854 5855 5856 5857 5858 5859 5860 5861 5862 5863 5864 5865 5866 5867 5868 5869 5870 5871 5872 5873 5874 5875 5876 5877 5878 5879 5880 5881 5882 5883 5884 5885 5886 5887 5888 5889 5890 5891 5892 5893 5894 5895 5896 5897 5898 5899 5900 5901 5902 5903 5904 5905 5906 5907 5908 5909 5910 5911 5912 5913 5914 5915 5916 5917 5918 5919 5920 5921 5922 5923 5924 5925 5926 5927 5928 5929 5930 5931 5932 5933 5934 5935 5936 5937 5938 5939 5940 5941 5942 5943 5944 5945 5946 5947 5948 5949 5950 5951 5952 5953 5954 5955 5956 5957 5958 5959 5960 5961 5962 5963 5964 5965 5966 5967 5968 5969 5970 5971 5972 5973 5974 5975 5976 5977 5978 5979 5980 5981 5982 5983 5984 5985 5986 5987 5988 5989 5990 5991 5992 5993 5994 5995 5996 5997 5998 5999 6000 6001 6002 6003 6004 6005 6006 6007 6008 6009 6010 6011 6012 6013 6014 6015 6016 6017 6018 6019 6020 6021 6022 6023 6024 6025 6026 6027 6028 6029 6030 6031 6032 6033 6034 6035 6036 6037 6038 6039 6040 6041 6042 6043 6044 6045 6046 6047 6048 6049 6050 6051 6052 6053 6054 6055 6056 6057 6058 6059 6060 6061 6062 6063 6064 6065 6066 6067 6068 6069 6070 6071 6072 6073 6074 6075 6076 6077 6078 6079 6080 6081 6082 6083 6084 6085 6086 6087 6088 6089 6090 6091 6092 6093 6094 6095 6096 6097 6098 6099 6100 6101 6102 6103 6104 6105 6106 6107 6108 6109 6110 6111 6112 6113 6114 6115 6116 6117 6118 6119 6120 6121 6122 6123 6124 6125 6126 6127 6128 6129 6130 6131 6132 6133 6134 6135 6136 6137 6138 6139 6140 6141 6142 6143 6144 6145 6146 6147 6148 6149 6150 6151 6152 6153 6154 6155 6156 6157 6158 6159 6160 6161 6162 6163 6164 6165 6166 6167 6168 6169 6170 6171 6172 6173 6174 6175 6176 6177 6178 6179 6180 6181 6182 6183 6184 6185 6186 6187 6188 6189 6190 6191 6192 6193 6194 6195 6196 6197 6198 6199 6200 6201 6202 6203 6204 6205 6206 6207 6208 6209 6210 6211 6212 6213 6214 6215 6216 6217 6218 6219 6220 6221 6222 6223 6224 6225 6226 6227 6228 6229 6230 6231 6232 6233 6234 6235 6236 6237 6238 6239 6240 6241 6242 6243 6244 6245 6246 6247 6248 6249 6250 6251 6252 6253 6254 6255 6256 6257 6258 6259 6260 6261 6262 6263 6264 6265 6266 6267 6268 6269 6270 6271 6272 6273 6274 6275 6276 6277 6278 6279 6280 6281 6282 6283 6284 6285 6286 6287 6288 6289 6290 6291 6292 6293 6294 6295 6296 6297 6298 6299 6300 6301 6302 6303 6304 6305 6306 6307 6308 6309 6310 6311 6312 6313 6314 6315 6316 6317 6318 6319 6320 6321 6322 6323 6324 6325 6326 6327 6328 6329 6330 6331 6332 6333 6334 6335 6336 6337 6338 6339 6340 6341 6342 6343 6344 6345 6346 6347 6348 6349 6350 6351 6352 6353 6354 6355 6356 6357 6358 6359 6360 6361 6362 6363 6364 6365 6366 6367 6368 6369 6370 6371 6372 6373 6374 6375 6376 6377 6378 6379 6380 6381 6382 6383 6384 6385 6386 6387 6388 6389 6390 6391 6392 6393 6394 6395 6396 6397 6398 6399 6400 6401 6402 6403 6404 6405 6406 6407 6408 6409 6410 6411 6412 6413 6414 6415 6416 6417 6418 6419 6420 6421 6422 6423 6424 6425 6426 6427 6428 6429 6430 6431 6432 6433 6434 6435 6436 6437 6438 6439 6440 6441 6442 6443 6444 6445 6446 6447 6448 6449 6450 6451 6452 6453 6454 6455 6456 6457 6458 6459 6460 6461 6462 6463 6464 6465 6466 6467 6468 6469 6470 6471 6472 6473 6474 6475 6476 6477 6478 6479 6480 6481 6482 6483 6484 6485 6486 6487 6488 6489 6490 6491 6492 6493 6494 6495 6496 6497 6498 6499 6500 6501 6502 6503 6504 6505 6506 6507 6508 6509 6510 6511 6512 6513 6514 6515 6516 6517 6518 6519 6520 6521 6522 6523 6524 6525 6526 6527 6528 6529 6530 6531 6532 6533 6534 6535 6536 6537 6538 6539 6540 6541 6542 6543 6544 6545 6546 6547 6548 6549 6550 6551 6552 6553 6554 6555 6556 6557 6558 6559 6560 6561 6562 6563 6564 6565 6566 6567 6568 6569 6570 6571 6572 6573 6574 6575 6576 6577 6578 6579 6580 6581 6582 6583 6584 6585 6586 6587 6588 6589 6590 6591 6592 6593 6594 6595 6596 6597 6598 6599 6600 6601 6602 6603 6604 6605 6606 6607 6608 6609 6610 6611 6612 6613 6614 6615 6616 6617 6618 6619 6620 6621 6622 6623 6624 6625 6626 6627 6628 6629 6630 6631 6632 6633 6634 6635 6636 6637 6638 6639 6640 6641 6642 6643 6644 6645 6646 6647 6648 6649 6650 6651 6652 6653 6654 6655 6656 6657 6658 6659 6660 6661 6662 6663 6664 6665 6666 6667 6668 6669 6670 6671 6672 6673 6674 6675 6676 6677 6678 6679 6680 6681 6682 6683 6684 6685 6686 6687 6688 6689 6690 6691 6692 6693 6694 6695 6696 6697 6698 6699 6700 6701 6702 6703 6704 6705 6706 6707 6708 6709 6710 6711 6712 6713 6714 6715 6716 6717 6718 6719 6720 6721 6722 6723 6724 6725 6726 6727 6728 6729 6730 6731 6732 6733 6734 6735 6736 6737 6738 6739 6740 6741 6742 6743 6744 6745 6746 6747 6748 6749 6750 6751 6752 6753 6754 6755 6756 6757 6758 6759 6760 6761 6762 6763 6764 6765 6766 6767 6768 6769 6770 6771 6772 6773 6774 6775 6776 6777 6778 6779 6780 6781 6782 6783 6784 6785 6786 6787 6788 6789 6790 6791 6792 6793 6794 6795 6796 6797 6798 6799 6800 6801 6802 6803 6804 6805 6806 6807 6808 6809 6810 6811 6812 6813 6814 6815 6816 6817 6818 6819 6820 6821 6822 6823 6824 6825 6826 6827 6828 6829 6830 6831 6832 6833 6834 6835 6836 6837 6838 6839 6840 6841 6842 6843 6844 6845 6846 6847 6848 6849 6850 6851 6852 6853 6854 6855 6856 6857 6858 6859 6860 6861 6862 6863 6864 6865 6866 6867 6868 6869 6870 6871 6872 6873 6874 6875 6876 6877 6878 6879 6880 6881 6882 6883 6884 6885 6886 6887 6888 6889 6890 6891 6892 6893 6894 6895 6896 6897 6898 6899 6900 6901 6902 6903 6904 6905 6906 6907 6908 6909 6910 6911 6912 6913 6914 6915 6916 6917 6918 6919 6920 6921 6922 6923 6924 6925 6926 6927 6928 6929 6930 6931 6932 6933 6934 6935 6936 6937 6938 6939 6940 6941 6942 6943 6944 6945 6946 6947 6948 6949 6950 6951 6952 6953 6954 6955 6956 6957 6958 6959 6960 6961 6962 6963 6964 6965 6966 6967 6968 6969 6970 6971 6972 6973 6974 6975 6976 6977 6978 6979 6980 6981 6982 6983 6984 6985 6986 6987 6988 6989 6990 6991 6992 6993 6994 6995 6996 6997 6998 6999 7000 7001 7002 7003 7004 7005 7006 7007 7008 7009 7010 7011 7012 7013 7014 7015 7016 7017 7018 7019 7020 7021 7022 7023 7024 7025 7026 7027 7028 7029 7030 7031 7032 7033 7034 7035 7036 7037 7038 7039 7040 7041 7042 7043 7044 7045 7046 7047 7048 7049 7050 7051 7052 7053 7054 7055 7056 7057 7058 7059 7060 7061 7062 7063 7064 7065 7066 7067 7068 7069 7070 7071 7072 7073 7074 7075 7076 7077 7078 7079 7080 7081 7082 7083 7084 7085 7086 7087 7088 7089 7090 7091 7092 7093 7094 7095 7096 7097 7098 7099 7100 7101 7102 7103 7104 7105 7106 7107 7108 7109 7110 7111 7112 7113 7114 7115 7116 7117 7118 7119 7120 7121 7122 7123 7124 7125 7126 7127 7128 7129 7130 7131 7132 7133 7134 7135 7136 7137 7138 7139 7140 7141 7142 7143 7144 7145 7146 7147 7148 7149 7150 7151 7152 7153 7154 7155 7156 7157 7158 7159 7160 7161 7162 7163 7164 7165 7166 7167 7168 7169 7170 7171 7172 7173 7174 7175 7176 7177 7178 7179 7180 7181 7182 7183 7184 7185 7186 7187 7188 7189 7190 7191 7192 7193 7194 7195 7196 7197 7198 7199 7200 7201 7202 7203 7204 7205 7206 7207 7208 7209 7210 7211 7212 7213 7214 7215 7216 7217 7218 7219 7220 7221 7222 7223 7224 7225 7226 7227 7228 7229 7230 7231 7232 7233 7234 7235 7236 7237 7238 7239 7240 7241 7242 7243 7244 7245 7246 7247 7248 7249 7250 7251 7252 7253 7254 7255 7256 7257 7258 7259 7260 7261 7262 7263 7264 7265 7266 7267 7268 7269 7270 7271 7272 7273 7274 7275 7276 7277 7278 7279 7280 7281 7282 7283 7284 7285 7286 7287 7288 7289 7290 7291 7292 7293 7294 7295 7296 7297 7298 7299 7300 7301 7302 7303 7304 7305 7306 7307 7308 7309 7310 7311 7312 7313 7314 7315 7316 7317 7318 7319 7320 7321 7322 7323 7324 7325 7326 7327 7328 7329 7330 7331 7332 7333 7334 7335 7336 7337 7338 7339 7340 7341 7342 7343 7344 7345 7346 7347 7348 7349 7350 7351 7352 7353 7354 7355 7356 7357 7358 7359 7360 7361 7362 7363 7364 7365 7366 7367 7368 7369 7370 7371 7372 7373 7374 7375 7376 7377 7378 7379 7380 7381 7382 7383 7384 7385 7386 7387 7388 7389 7390 7391 7392 7393 7394 7395 7396 7397 7398 7399 7400 7401 7402 7403 7404 7405 7406 7407 7408 7409 7410 7411 7412 7413 7414 7415 7416 7417 7418 7419 7420 7421 7422 7423 7424 7425 7426 7427 7428 7429 7430 7431 7432 7433 7434 7435 7436 7437 7438 7439 7440 7441 7442 7443 7444 7445 7446 7447 7448 7449 7450 7451 7452 7453 7454 7455 7456 7457 7458 7459 7460 7461 7462 7463 7464 7465 7466 7467 7468 7469 7470 7471 7472 7473 7474 7475 7476 7477 7478 7479 7480 7481 7482 7483 7484 7485 7486 7487 7488 7489 7490 7491 7492 7493 7494 7495 7496 7497 7498 7499 7500 7501 7502 7503 7504 7505 7506 7507 7508 7509 7510 7511 7512 7513 7514 7515 7516 7517 7518 7519 7520 7521 7522 7523 7524 7525 7526 7527 7528 7529 7530 7531 7532 7533 7534 7535 7536 7537 7538 7539 7540 7541 7542 7543 7544 7545 7546 7547 7548 7549 7550 7551 7552 7553 7554 7555 7556 7557 7558 7559 7560 7561 7562 7563 7564 7565 7566 7567 7568 7569 7570 7571 7572 7573 7574 7575 7576 7577 7578 7579 7580 7581 7582 7583 7584 7585 7586 7587 7588 7589 7590 7591 7592 7593 7594 7595 7596 7597 7598 7599 7600 7601 7602 7603 7604 7605 7606 7607 7608 7609 7610 7611 7612 7613 7614 7615 7616 7617 7618 7619 7620 7621 7622 7623 7624 7625 7626 7627 7628 7629 7630 7631 7632 7633 7634 7635 7636 7637 7638 7639 7640 7641 7642 7643 7644 7645 7646 7647 7648 7649 7650 7651 7652 7653 7654 7655 7656 7657 7658 7659 7660 7661 7662 7663 7664 7665 7666 7667 7668 7669 7670 7671 7672 7673 7674 7675 7676 7677 7678 7679 7680 7681 7682 7683 7684 7685 7686 7687 7688 7689 7690 7691 7692 7693 7694 7695 7696 7697 7698 7699 7700 7701 7702 7703 7704 7705 7706 7707 7708 7709 7710 7711 7712 7713 7714 7715 7716 7717 7718 7719 7720 7721 7722 7723 7724 7725 7726 7727 7728 7729 7730 7731 7732 7733 7734 7735 7736 7737 7738 7739 7740 7741 7742 7743 7744 7745 7746 7747 7748 7749 7750 7751 7752 7753 7754 7755 7756 7757 7758 7759 7760 7761 7762 7763 7764 7765 7766 7767 7768 7769 7770 7771 7772 7773 7774 7775 7776 7777 7778 7779 7780 7781 7782 7783 7784 7785 7786 7787 7788 7789 7790 7791 7792 7793 7794 7795 7796 7797 7798 7799 7800 7801 7802 7803 7804 7805 7806 7807 7808 7809 7810 7811 7812 7813 7814 7815 7816 7817 7818 7819 7820 7821 7822 7823 7824 7825 7826 7827 7828 7829 7830 7831 7832 7833 7834 7835 7836 7837 7838 7839 7840 7841 7842 7843 7844 7845 7846 7847 7848 7849 7850 7851 7852 7853 7854 7855 7856 7857 7858 7859 7860 7861 7862 7863 7864 7865 7866 7867 7868 7869 7870 7871 7872 7873 7874 7875 7876 7877 7878 7879 7880 7881 7882 7883 7884 7885 7886 7887 7888 7889 7890 7891 7892 7893 7894 7895 7896 7897 7898 7899 7900 7901 7902 7903 7904 7905 7906 7907 7908 7909 7910 7911 7912 7913 7914 7915 7916 7917 7918 7919 7920 7921 7922 7923 7924 7925 7926 7927 7928 7929 7930 7931 7932 7933 7934 7935 7936 7937 7938 7939 7940 7941 7942 7943 7944 7945 7946 7947 7948 7949 7950 7951 7952 7953 7954 7955 7956 7957 7958 7959 7960 7961 7962 7963 7964 7965 7966 7967 7968 7969 7970 7971 7972 7973 7974 7975 7976 7977 7978 7979 7980 7981 7982 7983 7984 7985 7986 7987 7988 7989 7990 7991 7992 7993 7994 7995 7996 7997 7998 7999 8000 8001 8002 8003 8004 8005 8006 8007 8008 8009 8010 8011 8012 8013 8014 8015 8016 8017 8018 8019 8020 8021 8022 8023 8024 8025 8026 8027 8028 8029 8030 8031 8032 8033 8034 8035 8036 8037 8038 8039 8040 8041 8042 8043 8044 8045 8046 8047 8048 8049 8050 8051 8052 8053 8054 8055 8056 8057 8058 8059 8060 8061 8062 8063 8064 8065 8066 8067 8068 8069 8070 8071 8072 8073 8074 8075 8076 8077 8078 8079 8080 8081 8082 8083 8084 8085 8086 8087 8088 8089 8090 8091 8092 8093 8094 8095 8096 8097 8098 8099 8100 8101 8102 8103 8104 8105 8106 8107 8108 8109 8110 8111 8112 8113 8114 8115 8116 8117 8118 8119 8120 8121 8122 8123 8124 8125 8126 8127 8128 8129 8130 8131 8132 8133 8134 8135 8136 8137 8138 8139 8140 8141 8142 8143 8144 8145 8146 8147 8148 8149 8150 8151 8152 8153 8154 8155 8156 8157 8158 8159 8160 8161 8162 8163 8164 8165 8166 8167 8168 8169 8170 8171 8172 8173 8174 8175 8176 8177 8178 8179 8180 8181 8182 8183 8184 8185 8186 8187 8188 8189 8190 8191 8192 8193 8194 8195 8196 8197 8198 8199 8200 8201 8202 8203 8204 8205 8206 8207 8208 8209 8210 8211 8212 8213 8214 8215 8216 8217 8218 8219 8220 8221 8222 8223 8224 8225 8226 8227 8228 8229 8230 8231 8232 8233 8234 8235 8236 8237 8238 8239 8240 8241 8242 8243 8244 8245 8246 8247 8248 8249 8250 8251 8252 8253 8254 8255 8256 8257 8258 8259 8260 8261 8262 8263 8264 8265 8266 8267 8268 8269 8270 8271 8272 8273 8274 8275 8276 8277 8278 8279 8280 8281 8282 8283 8284 8285 8286 8287 8288 8289 8290 8291 8292 8293 8294 8295 8296 8297 8298 8299 8300 8301 8302 8303 8304 8305 8306 8307 8308 8309 8310 8311 8312 8313 8314 8315 8316 8317 8318 8319 8320 8321 8322 8323 8324 8325 8326 8327 8328 8329 8330 8331 8332 8333 8334 8335 8336 8337 8338 8339 8340 8341 8342 8343 8344 8345 8346 8347 8348 8349 8350 8351 8352 8353 8354 8355 8356 8357 8358 8359 8360 8361 8362 8363 8364 8365 8366 8367 8368 8369 8370 8371 8372 8373 8374 8375 8376 8377 8378 8379 8380 8381 8382 8383 8384 8385 8386 8387 8388 8389 8390 8391 8392 8393 8394 8395 8396 8397 8398 8399 8400 8401 8402 8403 8404 8405 8406 8407 8408 8409 8410 8411 8412 8413 8414 8415 8416 8417 8418 8419 8420 8421 8422 8423 8424 8425 8426 8427 8428 8429 8430 8431 8432 8433 8434 8435 8436 8437 8438 8439 8440 8441 8442 8443 8444 8445 8446 8447 8448 8449 8450 8451 8452 8453 8454 8455 8456 8457 8458 8459 8460 8461 8462 8463 8464 8465 8466 8467 8468 8469 8470 8471 8472 8473 8474 8475 8476 8477 8478 8479 8480 8481 8482 8483 8484 8485 8486 8487 8488 8489 8490 8491 8492 8493 8494 8495 8496 8497 8498 8499 8500 8501 8502 8503 8504 8505 8506 8507 8508 8509 8510 8511 8512 8513 8514 8515 8516 8517 8518 8519 8520 8521 8522 8523 8524 8525 8526 8527 8528 8529 8530 8531 8532 8533 8534 8535 8536 8537 8538 8539 8540 8541 8542 8543 8544 8545 8546 8547 8548 8549 8550 8551 8552 8553 8554 8555 8556 8557 8558 8559 8560 8561 8562 8563 8564 8565 8566 8567 8568 8569 8570 8571 8572 8573 8574 8575 8576 8577 8578 8579 8580 8581 8582 8583 8584 8585 8586 8587 8588 8589 8590 8591 8592 8593 8594 8595 8596 8597 8598 8599 8600 8601 8602 8603 8604 8605 8606 8607 8608 8609 8610 8611 8612 8613 8614 8615 8616 8617 8618 8619 8620 8621 8622 8623 8624 8625 8626 8627 8628 8629 8630 8631 8632 8633 8634 8635 8636 8637 8638 8639 8640 8641 8642 8643 8644 8645 8646 8647 8648 8649 8650 8651 8652 8653 8654 8655 8656 8657 8658 8659 8660 8661 8662 8663 8664 8665 8666 8667 8668 8669 8670 8671 8672 8673 8674 8675 8676 8677 8678 8679 8680 8681 8682 8683 8684 8685 8686 8687 8688 8689 8690 8691 8692 8693 8694 8695 8696 8697 8698 8699 8700 8701 8702 8703 8704 8705 8706 8707 8708 8709 8710 8711 8712 8713 8714 8715 8716 8717 8718 8719 8720 8721 8722 8723 8724 8725 8726 8727 8728 8729 8730 8731 8732 8733 8734 8735 8736 8737 8738 8739 8740 8741 8742 8743 8744 8745 8746 8747 8748 8749 8750 8751 8752 8753 8754 8755 8756 8757 8758 8759 8760 8761 8762 8763 8764 8765 8766 8767 8768 8769 8770 8771 8772 8773 8774 8775 8776 8777 8778 8779 8780 8781 8782 8783 8784 8785 8786 8787 8788 8789 8790 8791 8792 8793 8794 8795 8796 8797 8798 8799 8800 8801 8802 8803 8804 8805 8806 8807 8808 8809 8810 8811 8812 8813 8814 8815 8816 8817 8818 8819 8820 8821 8822 8823 8824 8825 8826 8827 8828 8829 8830 8831 8832 8833 8834 8835 8836 8837 8838 8839 8840 8841 8842 8843 8844 8845 8846 8847 8848 8849 8850 8851 8852 8853 8854 8855 8856 8857 8858 8859 8860 8861 8862 8863 8864 8865 8866 8867 8868 8869 8870 8871 8872 8873 8874 8875 8876 8877 8878 8879 8880 8881 8882 8883 8884 8885 8886 8887 8888 8889 8890 8891 8892 8893 8894 8895 8896 8897 8898 8899 8900 8901 8902 8903 8904 8905 8906 8907 8908 8909 8910 8911 8912 8913 8914 8915 8916 8917 8918 8919 8920 8921 8922 8923 8924 8925 8926 8927 8928 8929 8930 8931 8932 8933 8934 8935 8936 8937 8938 8939 8940 8941 8942 8943 8944 8945 8946 8947 8948 8949 8950 8951 8952 8953 8954 8955 8956 8957 8958 8959 8960 8961 8962 8963 8964 8965 8966 8967 8968 8969 8970 8971 8972 8973 8974 8975 8976 8977 8978 8979 8980 8981 8982 8983 8984 8985 8986 8987 8988 8989 8990 8991 8992 8993 8994 8995 8996 8997 8998 8999 9000 9001 9002 9003 9004 9005 9006 9007 9008 9009 9010 9011 9012 9013 9014 9015 9016 9017 9018 9019 9020 9021 9022 9023 9024 9025 9026 9027 9028 9029 9030 9031 9032 9033 9034 9035 9036 9037 9038 9039 9040 9041 9042 9043 9044 9045 9046 9047 9048 9049 9050 9051 9052 9053 9054 9055 9056 9057 9058 9059 9060 9061 9062 9063 9064 9065 9066 9067 9068 9069 9070 9071 9072 9073 9074 9075 9076 9077 9078 9079 9080 9081 9082 9083 9084 9085 9086 9087 9088 9089 9090 9091 9092 9093 9094 9095 9096 9097 9098 9099 9100 9101 9102 9103 9104 9105 9106 9107 9108 9109 9110 9111 9112 9113 9114 9115 9116 9117 9118 9119 9120 9121 9122 9123 9124 9125 9126 9127 9128 9129 9130 9131 9132 9133 9134 9135 9136 9137 9138 9139 9140 9141 9142 9143 9144 9145 9146 9147 9148 9149 9150 9151 9152 9153 9154 9155 9156 9157 9158 9159 9160 9161 9162 9163 9164 9165 9166 9167 9168 9169 9170 9171 9172 9173 9174 9175 9176 9177 9178 9179 9180 9181 9182 9183 9184 9185 9186 9187 9188 9189 9190 9191 9192 9193 9194 9195 9196 9197 9198 9199 9200 9201 9202 9203 9204 9205 9206 9207 9208 9209 9210 9211 9212 9213 9214 9215 9216 9217 9218 9219 9220 9221 9222 9223 9224 9225 9226 9227 9228 9229 9230 9231 9232 9233 9234 9235 9236 9237 9238 9239 9240 9241 9242 9243 9244 9245 9246 9247 9248 9249 9250 9251 9252 9253 9254 9255 9256 9257 9258 9259 9260 9261 9262 9263 9264 9265 9266 9267 9268 9269 9270 9271 9272 9273 9274 9275 9276 9277 9278 9279 9280 9281 9282 9283 9284 9285 9286 9287 9288 9289 9290 9291 9292 9293 9294 9295 9296 9297 9298 9299 9300 9301 9302 9303 9304 9305 9306 9307 9308 9309 9310 9311 9312 9313 9314 9315 9316 9317 9318 9319 9320 9321 9322 9323 9324 9325 9326 9327 9328 9329 9330 9331 9332 9333 9334 9335 9336 9337 9338 9339 9340 9341 9342 9343 9344 9345 9346 9347 9348 9349 9350 9351 9352 9353 9354 9355 9356 9357 9358 9359 9360 9361 9362 9363 9364 9365 9366 9367 9368 9369 9370 9371 9372 9373 9374 9375 9376 9377 9378 9379 9380 9381 9382 9383 9384 9385 9386 9387 9388 9389 9390 9391 9392 9393 9394 9395 9396 9397 9398 9399 9400 9401 9402 9403 9404 9405 9406 9407 9408 9409 9410 9411 9412 9413 9414 9415 9416 9417 9418 9419 9420 9421 9422 9423 9424 9425 9426 9427 9428 9429 9430 9431 9432 9433 9434 9435 9436 9437 9438 9439 9440 9441 9442 9443 9444 9445 9446 9447 9448 9449 9450 9451 9452 9453 9454 9455 9456 9457 9458 9459 9460 9461 9462 9463 9464 9465 9466 9467 9468 9469 9470 9471 9472 9473 9474 9475 9476 9477 9478 9479 9480 9481 9482 9483 9484 9485 9486 9487 9488 9489 9490 9491 9492 9493 9494 9495 9496 9497 9498 9499 9500 9501 9502 9503 9504 9505 9506 9507 9508 9509 9510 9511 9512 9513 9514 9515 9516 9517 9518 9519 9520 9521 9522 9523 9524 9525 9526 9527 9528 9529 9530 9531 9532 9533 9534 9535 9536 9537 9538 9539 9540 9541 9542 9543 9544 9545 9546 9547 9548 9549 9550 9551 9552 9553 9554 9555 9556 9557 9558 9559 9560 9561 9562 9563 9564 9565 9566 9567 9568 9569 9570 9571 9572 9573 9574 9575 9576 9577 9578 9579 9580 9581 9582 9583 9584 9585 9586 9587 9588 9589 9590 9591 9592 9593 9594 9595 9596 9597 9598 9599 9600 9601 9602 9603 9604 9605 9606 9607 9608 9609 9610 9611 9612 9613 9614 9615 9616 9617 9618 9619 9620 9621 9622 9623 9624 9625 9626 9627 9628 9629 9630 9631 9632 9633 9634 9635 9636 9637 9638 9639 9640 9641 9642 9643 9644 9645 9646 9647 9648 9649 9650 9651 9652 9653 9654 9655 9656 9657 9658 9659 9660 9661 9662 9663 9664 9665 9666 9667 9668 9669 9670 9671 9672 9673 9674 9675 9676 9677 9678 9679 9680 9681 9682 9683 9684 9685 9686 9687 9688 9689 9690 9691 9692 9693 9694 9695 9696 9697 9698 9699 9700 9701 9702 9703 9704 9705 9706 9707 9708 9709 9710 9711 9712 9713 9714 9715 9716 9717 9718 9719 9720 9721 9722 9723 9724 9725 9726 9727 9728 9729 9730 9731 9732 9733 9734 9735 9736 9737 9738 9739 9740 9741 9742 9743 9744 9745 9746 9747 9748 9749 9750 9751 9752 9753 9754 9755 9756 9757 9758 9759 9760 9761 9762 9763 9764 9765 9766 9767 9768 9769 9770 9771 9772 9773 9774 9775 9776 9777 9778 9779 9780 9781 9782 9783 9784 9785 9786 9787 9788 9789 9790 9791 9792 9793 9794 9795 9796 9797 9798 9799 9800 9801 9802 9803 9804 9805 9806 9807 9808 9809 9810 9811 9812 9813 9814 9815 9816 9817 9818 9819 9820 9821 9822 9823 9824 9825 9826 9827 9828 9829 9830 9831 9832 9833 9834 9835 9836 9837 9838 9839 9840 9841 9842 9843 9844 9845 9846 9847 9848 9849 9850 9851 9852 9853 9854 9855 9856 9857 9858 9859 9860 9861 9862 9863 9864 9865 9866 9867 9868 9869 9870 9871 9872 9873 9874 9875 9876 9877 9878 9879 9880 9881 9882 9883 9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941 9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955 9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969 9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983 9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997 9998 9999 10000 10001 10002 10003 10004 10005 10006 10007 10008 10009 10010 10011 10012 10013 10014 10015 10016 10017 10018 10019 10020 10021 10022 10023 10024 10025 10026 10027 10028 10029 10030 10031 10032 10033 10034 10035 10036 10037 10038 10039 10040 10041 10042 10043 10044 10045 10046 10047 10048 10049 10050 10051 10052 10053 10054 10055 10056 10057 10058 10059 10060 10061 10062 10063 10064 10065 10066 10067 10068 10069 10070 10071 10072 10073 10074 10075 10076 10077 10078 10079 10080 10081 10082 10083 10084 10085 10086 10087 10088 10089 10090 10091 10092 10093 10094 10095 10096 10097 10098 10099 10100 10101 10102 10103 10104 10105 10106 10107 10108 10109 10110 10111 10112 10113 10114 10115 10116 10117 10118 10119 10120 10121 10122 10123 10124 10125 10126 10127 10128 10129 10130 10131 10132 10133 10134 10135 10136 10137 10138 10139 10140 10141 10142 10143 10144 10145 10146 10147 10148 10149 10150 10151 10152 10153 10154 10155 10156 10157 10158 10159 10160 10161 10162 10163 10164 10165 10166 10167 10168 10169 10170 10171 10172 10173 10174 10175 10176 10177 10178 10179 10180 10181 10182 10183 10184 10185 10186 10187 10188 10189 10190 10191 10192 10193 10194 10195 10196 10197 10198 10199 10200 10201 10202 10203 10204 10205 10206 10207 10208 10209 10210 10211 10212 10213 10214 10215 10216 10217 10218 10219 10220 10221 10222 10223 10224 10225 10226 10227 10228 10229 10230 10231 10232 10233 10234 10235 10236 10237 10238 10239 10240 10241 10242 10243 10244 10245 10246 10247 10248 10249 10250 10251 10252 10253 10254 10255 10256 10257 10258 10259 10260 10261 10262 10263 10264 10265 10266 10267 10268 10269 10270 10271 10272 10273 10274 10275 10276 10277 10278 10279 10280 10281 10282 10283 10284 10285 10286 10287 10288 10289 10290 10291 10292 10293 10294 10295 10296 10297 10298 10299 10300 10301 10302 10303 10304 10305 10306 10307 10308 10309 10310 10311 10312 10313 10314 10315 10316 10317 10318 10319 10320 10321 10322 10323 10324 10325 10326 10327 10328 10329 10330 10331 10332 10333 10334 10335 10336 10337 10338 10339 10340 10341 10342 10343 10344 10345 10346 10347 10348 10349 10350 10351 10352 10353 10354 10355 10356 10357 10358 10359 10360 10361 10362 10363 10364 10365 10366 10367 10368 10369 10370 10371 10372 10373 10374 10375 10376 10377 10378 10379 10380 10381 10382 10383 10384 10385 10386 10387 10388 10389 10390 10391 10392 10393 10394 10395 10396 10397 10398 10399 10400 10401 10402 10403 10404 10405 10406 10407 10408 10409 10410 10411 10412 10413 10414 10415 10416 10417 10418 10419 10420 10421 10422 10423 10424 10425 10426 10427 10428 10429 10430 10431 10432 10433 10434 10435 10436 10437 10438 10439 10440 10441 10442 10443 10444 10445 10446 10447 10448 10449 10450 10451 10452 10453 10454 10455 10456 10457 10458 10459 10460 10461 10462 10463 10464 10465 10466 10467 10468 10469 10470 10471 10472 10473 10474 10475 10476 10477 10478 10479 10480 10481 10482 10483 10484 10485 10486 10487 10488 10489 10490 10491 10492 10493 10494 10495 10496 10497 10498 10499 10500 10501 10502 10503 10504 10505 10506 10507 10508 10509 10510 10511 10512 10513 10514 10515 10516 10517 10518 10519 10520 10521 10522 10523 10524 10525 10526 10527 10528 10529 10530 10531 10532 10533 10534 10535 10536 10537 10538 10539 10540 10541 10542 10543 10544 10545 10546 10547 10548 10549 10550 10551 10552 10553 10554 10555 10556 10557 10558 10559 10560 10561 10562 10563 10564 10565 10566 10567 10568 10569 10570 10571 10572 10573 10574 10575 10576 10577 10578 10579 10580 10581 10582 10583 10584 10585 10586 10587 10588 10589 10590 10591 10592 10593 10594 10595 10596 10597 10598 10599 10600 10601 10602 10603 10604 10605 10606 10607 10608 10609 10610 10611 10612 10613 10614 10615 10616 10617 10618 10619 10620 10621 10622 10623 10624 10625 10626 10627 10628 10629 10630 10631 10632 10633 10634 10635 10636 10637 10638 10639 10640 10641 10642 10643 10644 10645 10646 10647 10648 10649 10650 10651 10652 10653 10654 10655 10656 10657 10658 10659 10660 10661 10662 10663 10664 10665 10666 10667 10668 10669 10670 10671 10672 10673 10674 10675 10676 10677 10678 10679 10680 10681 10682 10683 10684 10685 10686 10687 10688 10689 10690 10691 10692 10693 10694 10695 10696 10697 10698 10699 10700 10701 10702 10703 10704 10705 10706 10707 10708 10709 10710 10711 10712 10713 10714 10715 10716 10717 10718 10719 10720 10721 10722 10723 10724 10725 10726 10727 10728 10729 10730 10731 10732 10733 10734 10735 10736 10737 10738 10739 10740 10741 10742 10743 10744 10745 10746 10747 10748 10749 10750 10751 10752 10753 10754 10755 10756 10757 10758 10759 10760 10761 10762 10763 10764 10765 10766 10767 10768 10769 10770 10771 10772 10773 10774 10775 10776 10777 10778 10779 10780 10781 10782 10783 10784 10785 10786 10787 10788 10789 10790 10791 10792 10793 10794 10795 10796 10797 10798 10799 10800 10801 10802 10803 10804 10805 10806 10807 10808 10809 10810 10811 10812 10813 10814 10815 10816 10817 10818 10819 10820 10821 10822 10823 10824 10825 10826 10827 10828 10829 10830 10831 10832 10833 10834 10835 10836 10837 10838 10839 10840 10841 10842 10843 10844 10845 10846 10847 10848 10849 10850 10851 10852 10853 10854 10855 10856 10857 10858 10859 10860 10861 10862 10863 10864 10865 10866 10867 10868 10869 10870 10871 10872 10873 10874 10875 10876 10877 10878 10879 10880 10881 10882 10883 10884 10885 10886 10887 10888 10889 10890 10891 10892 10893 10894 10895 10896 10897 10898 10899 10900 10901 10902 10903 10904 10905 10906 10907 10908 10909 10910 10911 10912 10913 10914 10915 10916 10917 10918 10919 10920 10921 10922 10923 10924 10925 10926 10927 10928 10929 10930 10931 10932 10933 10934 10935 10936 10937 10938 10939 10940 10941 10942 10943 10944 10945 10946 10947 10948 10949 10950 10951 10952 10953 10954 10955 10956 10957 10958 10959 10960 10961 10962 10963 10964 10965 10966 10967 10968 10969 10970 10971 10972 10973 10974 10975 10976 10977 10978 10979 10980 10981 10982 10983 10984 10985 10986 10987 10988 10989 10990 10991 10992 10993 10994 10995 10996 10997 10998 10999 11000 11001 11002 11003 11004 11005 11006 11007 11008 11009 11010 11011 11012 11013 11014 11015 11016 11017 11018 11019 11020 11021 11022 11023 11024 11025 11026 11027 11028 11029 11030 11031 11032 11033 11034 11035 11036 11037 11038 11039 11040 11041 11042 11043 11044 11045 11046 11047 11048 11049 11050 11051 11052 11053 11054 11055 11056 11057 11058 11059 11060 11061 11062 11063 11064 11065 11066 11067 11068 11069 11070 11071 11072 11073 11074 11075 11076 11077 11078 11079 11080 11081 11082 11083 11084 11085 11086 11087 11088 11089 11090 11091 11092 11093 11094 11095 11096 11097 11098 11099 11100 11101 11102 11103 11104 11105 11106 11107 11108 11109 11110 11111 11112 11113 11114 11115 11116 11117 11118 11119 11120 11121 11122 11123 11124 11125 11126 11127 11128 11129 11130 11131 11132 11133 11134 11135 11136 11137 11138 11139 11140 11141 11142 11143 11144 11145 11146 11147 11148 11149 11150 11151 11152 11153 11154 11155 11156 11157 11158 11159 11160 11161 11162 11163 11164 11165 11166 11167 11168 11169 11170 11171 11172 11173 11174 11175 11176 11177 11178 11179 11180 11181 11182 11183 11184 11185 11186 11187 11188 11189 11190 11191 11192 11193 11194 11195 11196 11197 11198 11199 11200 11201 11202 11203 11204 11205 11206 11207 11208 11209 11210 11211 11212 11213 11214 11215 11216 11217 11218 11219 11220 11221 11222 11223 11224 11225 11226 11227 11228 11229 11230 11231 11232 11233 11234 11235 11236 11237 11238 11239 11240 11241 11242 11243 11244 11245 11246 11247 11248 11249 11250 11251 11252 11253 11254 11255 11256 11257 11258 11259 11260 11261 11262 11263 11264 11265 11266 11267 11268 11269 11270 11271 11272 11273 11274 11275 11276 11277 11278 11279 11280 11281 11282 11283 11284 11285 11286 11287 11288 11289 11290 11291 11292 11293 11294 11295 11296 11297 11298 11299 11300 11301 11302 11303 11304 11305 11306 11307 11308 11309 11310 11311 11312 11313 11314 11315 11316 11317 11318 11319 11320 11321 11322 11323 11324 11325 11326 11327 11328 11329 11330 11331 11332 11333 11334 11335 11336 11337 11338 11339 11340 11341 11342 11343 11344 11345 11346 11347 11348 11349 11350 11351 11352 11353 11354 11355 11356 11357 11358 11359 11360 11361 11362 11363 11364 11365 11366 11367 11368 11369 11370 11371 11372 11373 11374 11375 11376 11377 11378 11379 11380 11381 11382 11383 11384 11385 11386 11387 11388 11389 11390 11391 11392 11393 11394 11395 11396 11397 11398 11399 11400 11401 11402 11403 11404 11405 11406 11407 11408 11409 11410 11411 11412 11413 11414 11415 11416 11417 11418 11419 11420 11421 11422 11423 11424 11425 11426 11427 11428 11429 11430 11431 11432 11433 11434 11435 11436 11437 11438 11439 11440 11441 11442 11443 11444 11445 11446 11447 11448 11449 11450 11451 11452 11453 11454 11455 11456 11457 11458 11459 11460 11461 11462 11463 11464 11465 11466 11467 11468 11469 11470 11471 11472 11473 11474 11475 11476 11477 11478 11479 11480 11481 11482 11483 11484 11485 11486 11487 11488 11489 11490 11491 11492 11493 11494 11495 11496 11497 11498 11499 11500 11501 11502 11503 11504 11505 11506 11507 11508 11509 11510 11511 11512 11513 11514 11515 11516 11517 11518 11519 11520 11521 11522 11523 11524 11525 11526 11527 11528 11529 11530 11531 11532 11533 11534 11535 11536 11537 11538 11539 11540 11541 11542 11543 11544 11545 11546 11547 11548 11549 11550 11551 11552 11553 11554 11555 11556 11557 11558 11559 11560 11561 11562 11563 11564 11565 11566 11567 11568 11569 11570 11571 11572 11573 11574 11575 11576 11577 11578 11579 11580 11581 11582 11583 11584 11585 11586 11587 11588 11589 11590 11591 11592 11593 11594 11595 11596 11597 11598 11599 11600 11601 11602 11603 11604 11605 11606 11607 11608 11609 11610 11611 11612 11613 11614 11615 11616 11617 11618 11619 11620 11621 11622 11623 11624 11625 11626 11627 11628 11629 11630 11631 11632 11633 11634 11635 11636 11637 11638 11639 11640 11641 11642 11643 11644 11645 11646 11647 11648 11649 11650 11651 11652 11653 11654 11655 11656 11657 11658 11659 11660 11661 11662 11663 11664 11665 11666 11667 11668 11669 11670 11671 11672 11673 11674 11675 11676 11677 11678 11679 11680 11681 11682 11683 11684 11685 11686 11687 11688 11689 11690 11691 11692 11693 11694 11695 11696 11697 11698 11699 11700 11701 11702 11703 11704 11705 11706 11707 11708 11709 11710 11711 11712 11713 11714 11715 11716 11717 11718 11719 11720 11721 11722 11723 11724 11725 11726 11727 11728 11729 11730 11731 11732 11733 11734 11735 11736 11737 11738 11739 11740 11741 11742 11743 11744 11745 11746 11747 11748 11749 11750 11751 11752 11753 11754 11755 11756 11757 11758 11759 11760 11761 11762 11763 11764 11765 11766 11767 11768 11769 11770 11771 11772 11773 11774 11775 11776 11777 11778 11779 11780 11781 11782 11783 11784 11785 11786 11787 11788 11789 11790 11791 11792 11793 11794 11795 11796 11797 11798 11799 11800 11801 11802 11803 11804 11805 11806 11807 11808 11809 11810 11811 11812 11813 11814 11815 11816 11817 11818 11819 11820 11821 11822 11823 11824 11825 11826 11827 11828 11829 11830 11831 11832 11833 11834 11835 11836 11837 11838 11839 11840 11841 11842 11843 11844 11845 11846 11847 11848 11849 11850 11851 11852 11853 11854 11855 11856 11857 11858 11859 11860 11861 11862 11863 11864 11865 11866 11867 11868 11869 11870 11871 11872 11873 11874 11875 11876 11877 11878 11879 11880 11881 11882 11883 11884 11885 11886 11887 11888 11889 11890 11891 11892 11893 11894 11895 11896 11897 11898 11899 11900 11901 11902 11903 11904 11905 11906 11907 11908 11909 11910 11911 11912 11913 11914 11915 11916 11917 11918 11919 11920 11921 11922 11923 11924 11925 11926 11927 11928 11929 11930 11931 11932 11933 11934 11935 11936 11937 11938 11939 11940 11941 11942 11943 11944 11945 11946 11947 11948 11949 11950 11951 11952 11953 11954 11955 11956 11957 11958 11959 11960 11961 11962 11963 11964 11965 11966 11967 11968 11969 11970 11971 11972 11973 11974 11975 11976 11977 11978 11979 11980 11981 11982 11983 11984 11985 11986 11987 11988 11989 11990 11991 11992 11993 11994 11995 11996 11997 11998 11999 12000 12001 12002 12003 12004 12005 12006 12007 12008 12009 12010 12011 12012 12013 12014 12015 12016 12017 12018 12019 12020 12021 12022 12023 12024 12025 12026 12027 12028 12029 12030 12031 12032 12033 12034 12035 12036 12037 12038 12039 12040 12041 12042 12043 12044 12045 12046 12047 12048 12049 12050 12051 12052 12053 12054 12055 12056 12057 12058 12059 12060 12061 12062 12063 12064 12065 12066 12067 12068 12069 12070 12071 12072 12073 12074 12075 12076 12077 12078 12079 12080 12081 12082 12083 12084 12085 12086 12087 12088 12089 12090 12091 12092 12093 12094 12095 12096 12097 12098 12099 12100 12101 12102 12103 12104 12105 12106 12107 12108 12109 12110 12111 12112 12113 12114 12115 12116 12117 12118 12119 12120 12121 12122 12123 12124 12125 12126 12127 12128 12129 12130 12131 12132 12133 12134 12135 12136 12137 12138 12139 12140 12141 12142 12143 12144 12145 12146 12147 12148 12149 12150 12151 12152 12153 12154 12155 12156 12157 12158 12159 12160 12161 12162 12163 12164 12165 12166 12167 12168 12169 12170 12171 12172 12173 12174 12175 12176 12177 12178 12179 12180 12181 12182 12183 12184 12185 12186 12187 12188 12189 12190 12191 12192 12193 12194 12195 12196 12197 12198 12199 12200 12201 12202 12203 12204 12205 12206 12207 12208 12209 12210 12211 12212 12213 12214 12215 12216 12217 12218 12219 12220 12221 12222 12223 12224 12225 12226 12227 12228 12229 12230 12231 12232 12233 12234 12235 12236 12237 12238 12239 12240 12241 12242 12243 12244 12245 12246 12247 12248 12249 12250 12251 12252 12253 12254 12255 12256 12257 12258 12259 12260 12261 12262 12263 12264 12265 12266 12267 12268 12269 12270 12271 12272 12273 12274 12275 12276 12277 12278 12279 12280 12281 12282 12283 12284 12285 12286 12287 12288 12289 12290 12291 12292 12293 12294 12295 12296 12297 12298 12299 12300 12301 12302 12303 12304 12305 12306 12307 12308 12309 12310 12311 12312 12313 12314 12315 12316 12317 12318 12319 12320 12321 12322 12323 12324 12325 12326 12327 12328 12329 12330 12331 12332 12333 12334 12335 12336 12337 12338 12339 12340 12341 12342 12343 12344 12345 12346 12347 12348 12349 12350 12351 12352 12353 12354 12355 12356 12357 12358 12359 12360 12361 12362 12363 12364 12365 12366 12367 12368 12369 12370 12371 12372 12373 12374 12375 12376 12377 12378 12379 12380 12381 12382 12383 12384 12385 12386 12387 12388 12389 12390 12391 12392 12393 12394 12395 12396 12397 12398 12399 12400 12401 12402 12403 12404 12405 12406 12407 12408 12409 12410 12411 12412 12413 12414 12415 12416 12417 12418 12419 12420 12421 12422 12423 12424 12425 12426 12427 12428 12429 12430 12431 12432 12433 12434 12435 12436 12437 12438 12439 12440 12441 12442 12443 12444 12445 12446 12447 12448 12449 12450 12451 12452 12453 12454 12455 12456 12457 12458 12459 12460 12461 12462 12463 12464 12465 12466 12467 12468 12469 12470 12471 12472 12473 12474 12475 12476 12477 12478 12479 12480 12481 12482 12483 12484 12485 12486 12487 12488 12489 12490 12491 12492 12493 12494 12495 12496 12497 12498 12499 12500 12501 12502 12503 12504 12505 12506 12507 12508 12509 12510 12511 12512 12513 12514 12515 12516 12517 12518 12519 12520 12521 12522 12523 12524 12525 12526 12527 12528 12529 12530 12531 12532 12533 12534 12535 12536 12537 12538 12539 12540 12541 12542 12543 12544 12545 12546 12547 12548 12549 12550 12551 12552 12553 12554 12555 12556 12557 12558 12559 12560 12561 12562 12563 12564 12565 12566 12567 12568 12569 12570 12571 12572 12573 12574 12575 12576 12577 12578 12579 12580 12581 12582 12583 12584 12585 12586 12587 12588 12589 12590 12591 12592 12593 12594 12595 12596 12597 12598 12599 12600 12601 12602 12603 12604 12605 12606 12607 12608 12609 12610 12611 12612 12613 12614 12615 12616 12617 12618 12619 12620 12621 12622 12623 12624 12625 12626 12627 12628 12629 12630 12631 12632 12633 12634 12635 12636 12637 12638 12639 12640 12641 12642 12643 12644 12645 12646 12647 12648 12649 12650 12651 12652 12653 12654 12655 12656 12657 12658 12659 12660 12661 12662 12663 12664 12665 12666 12667 12668 12669 12670 12671 12672 12673 12674 12675 12676 12677 12678 12679 12680 12681 12682 12683 12684 12685 12686 12687 12688 12689 12690 12691 12692 12693 12694 12695 12696 12697 12698 12699 12700 12701 12702 12703 12704 12705 12706 12707 12708 12709 12710 12711 12712 12713 12714 12715 12716 12717 12718 12719 12720 12721 12722 12723 12724 12725 12726 12727 12728 12729 12730 12731 12732 12733 12734 12735 12736 12737 12738 12739 12740 12741 12742 12743 12744 12745 12746 12747 12748 12749 12750 12751 12752 12753 12754 12755 12756 12757 12758 12759 12760 12761 12762 12763 12764 12765 12766 12767 12768 12769 12770 12771 12772 12773 12774 12775 12776 12777 12778 12779 12780 12781 12782 12783 12784 12785 12786 12787 12788 12789 12790 12791 12792 12793 12794 12795 12796 12797 12798 12799 12800 12801 12802 12803 12804 12805 12806 12807 12808 12809 12810 12811 12812 12813 12814 12815 12816 12817 12818 12819 12820 12821 12822 12823 12824 12825 12826 12827 12828 12829 12830 12831 12832 12833 12834 12835 12836 12837 12838 12839 12840 12841 12842 12843 12844 12845 12846 12847 12848 12849 12850 12851 12852 12853 12854 12855 12856 12857 12858 12859 12860 12861 12862 12863 12864 12865 12866 12867 12868 12869 12870 12871 12872 12873 12874 12875 12876 12877 12878 12879 12880 12881 12882 12883 12884 12885 12886 12887 12888 12889 12890 12891 12892 12893 12894 12895 12896 12897 12898 12899 12900 12901 12902 12903 12904 12905 12906 12907 12908 12909 12910 12911 12912 12913 12914 12915 12916 12917 12918 12919 12920 12921 12922 12923 12924 12925 12926 12927 12928 12929 12930 12931 12932 12933 12934 12935 12936 12937 12938 12939 12940 12941 12942 12943 12944 12945 12946 12947 12948 12949 12950 12951 12952 12953 12954 12955 12956 12957 12958 12959 12960 12961 12962 12963 12964 12965 12966 12967 12968 12969 12970 12971 12972 12973 12974 12975 12976 12977 12978 12979 12980 12981 12982 12983 12984 12985 12986 12987 12988 12989 12990 12991 12992 12993 12994 12995 12996 12997 12998 12999 13000 13001 13002 13003 13004 13005 13006 13007 13008 13009 13010 13011 13012 13013 13014 13015 13016 13017 13018 13019 13020 13021 13022 13023 13024 13025 13026 13027 13028 13029 13030 13031 13032 13033 13034 13035 13036 13037 13038 13039 13040 13041 13042 13043 13044 13045 13046 13047 13048 13049 13050 13051 13052 13053 13054 13055 13056 13057 13058 13059 13060 13061 13062 13063 13064 13065 13066 13067 13068 13069 13070 13071 13072 13073 13074 13075 13076 13077 13078 13079 13080 13081 13082 13083 13084 13085 13086 13087 13088 13089 13090 13091 13092 13093 13094 13095 13096 13097 13098 13099 13100 13101 13102 13103 13104 13105 13106 13107 13108 13109 13110 13111 13112 13113 13114 13115 13116 13117 13118 13119 13120 13121 13122 13123 13124 13125 13126 13127 13128 13129 13130 13131 13132 13133 13134 13135 13136 13137 13138 13139 13140 13141 13142 13143 13144 13145 13146 13147 13148 13149 13150 13151 13152 13153 13154 13155 13156 13157 13158 13159 13160 13161 13162 13163 13164 13165 13166 13167 13168 13169 13170 13171 13172 13173 13174 13175 13176 13177 13178 13179 13180 13181 13182 13183 13184 13185 13186 13187 13188 13189 13190 13191 13192 13193 13194 13195 13196 13197 13198 13199 13200 13201 13202 13203 13204 13205 13206 13207 13208 13209 13210 13211 13212 13213 13214 13215 13216 13217 13218 13219 13220 13221 13222 13223 13224 13225 13226 13227 13228 13229 13230 13231 13232 13233 13234 13235 13236 13237 13238 13239 13240 13241 13242 13243 13244 13245 13246 13247 13248 13249 13250 13251 13252 13253 13254 13255 13256 13257 13258 13259 13260 13261 13262 13263 13264 13265 13266 13267 13268 13269 13270 13271 13272 13273 13274 13275 13276 13277 13278 13279 13280 13281 13282 13283 13284 13285 13286 13287 13288 13289 13290 13291 13292 13293 13294 13295 13296 13297 13298 13299 13300 13301 13302 13303 13304 13305 13306 13307 13308 13309 13310 13311 13312 13313 13314 13315 13316 13317 13318 13319 13320 13321 13322 13323 13324 13325 13326 13327 13328 13329 13330 13331 13332 13333 13334 13335 13336 13337 13338 13339 13340 13341 13342 13343 13344 13345 13346 13347 13348 13349 13350 13351 13352 13353 13354 13355 13356 13357 13358 13359 13360 13361 13362 13363 13364 13365 13366 13367 13368 13369 13370 13371 13372 13373 13374 13375 13376 13377 13378 13379 13380 13381 13382 13383 13384 13385 13386 13387 13388 13389 13390 13391 13392 13393 13394 13395 13396 13397 13398 13399 13400 13401 13402 13403 13404 13405 13406 13407 13408 13409 13410 13411 13412 13413 13414 13415 13416 13417 13418 13419 13420 13421 13422 13423 13424 13425 13426 13427 13428 13429 13430 13431 13432 13433 13434 13435 13436 13437 13438 13439 13440 13441 13442 13443 13444 13445 13446 13447 13448 13449 13450 13451 13452 13453 13454 13455 13456 13457 13458 13459 13460 13461 13462 13463 13464 13465 13466 13467 13468 13469 13470 13471 13472 13473 13474 13475 13476 13477 13478 13479 13480 13481 13482 13483 13484 13485 13486 13487 13488 13489 13490 13491 13492 13493 13494 13495 13496 13497 13498 13499 13500 13501 13502 13503 13504 13505 13506 13507 13508 13509 13510 13511 13512 13513 13514 13515 13516 13517 13518 13519 13520 13521 13522 13523 13524 13525 13526 13527 13528 13529 13530 13531 13532 13533 13534 13535 13536 13537 13538 13539 13540 13541 13542 13543 13544 13545 13546 13547 13548 13549 13550 13551 13552 13553 13554 13555 13556 13557 13558 13559 13560 13561 13562 13563 13564 13565 13566 13567 13568 13569 13570 13571 13572 13573 13574 13575 13576 13577 13578 13579 13580 13581 13582 13583 13584 13585 13586 13587 13588 13589 13590 13591 13592 13593 13594 13595 13596 13597 13598 13599 13600 13601 13602 13603 13604 13605 13606 13607 13608 13609 13610 13611 13612 13613 13614 13615 13616 13617 13618 13619 13620 13621 13622 13623 13624 13625 13626 13627 13628 13629 13630 13631 13632 13633 13634 13635 13636 13637 13638 13639 13640 13641 13642 13643 13644 13645 13646 13647 13648 13649 13650 13651 13652 13653 13654 13655 13656 13657 13658 13659 13660 13661 13662 13663 13664 13665 13666 13667 13668 13669 13670 13671 13672 13673 13674 13675 13676 13677 13678 13679 13680 13681 13682 13683 13684 13685 13686 13687 13688 13689 13690 13691 13692 13693 13694 13695 13696 13697 13698 13699 13700 13701 13702 13703 13704 13705 13706 13707 13708 13709 13710 13711 13712 13713 13714 13715 13716 13717 13718 13719 13720 13721 13722 13723 13724 13725 13726 13727 13728 13729 13730 13731 13732 13733 13734 13735 13736 13737 13738 13739 13740 13741 13742 13743 13744 13745 13746 13747 13748 13749 13750 13751 13752 13753 13754 13755 13756 13757 13758 13759 13760 13761 13762 13763 13764 13765 13766 13767 13768 13769 13770 13771 13772 13773 13774 13775 13776 13777 13778 13779 13780 13781 13782 13783 13784 13785 13786 13787 13788 13789 13790 13791 13792 13793 13794 13795 13796 13797 13798 13799 13800 13801 13802 13803 13804 13805 13806 13807 13808 13809 13810 13811 13812 13813 13814 13815 13816 13817 13818 13819 13820 13821 13822 13823 13824 13825 13826 13827 13828 13829 13830 13831 13832 13833 13834 13835 13836 13837 13838 13839 13840 13841 13842 13843 13844 13845 13846 13847 13848 13849 13850 13851 13852 13853 13854 13855 13856 13857 13858 13859 13860 13861 13862 13863 13864 13865 13866 13867 13868 13869 13870 13871 13872 13873 13874 13875 13876 13877 13878 13879 13880 13881 13882 13883 13884 13885 13886 13887 13888 13889 13890 13891 13892 13893 13894 13895 13896 13897 13898 13899 13900 13901 13902 13903 13904 13905 13906 13907 13908 13909 13910 13911 13912 13913 13914 13915 13916 13917 13918 13919 13920 13921 13922 13923 13924 13925 13926 13927 13928 13929 13930 13931 13932 13933 13934 13935 13936 13937 13938 13939 13940 13941 13942 13943 13944 13945 13946 13947 13948 13949 13950 13951 13952 13953 13954 13955 13956 13957 13958 13959 13960 13961 13962 13963 13964 13965 13966 13967 13968 13969 13970 13971 13972 13973 13974 13975 13976 13977 13978 13979 13980 13981 13982 13983 13984 13985 13986 13987 13988 13989 13990 13991 13992 13993 13994 13995 13996 13997 13998 13999 14000 14001 14002 14003 14004 14005 14006 14007 14008 14009 14010 14011 14012 14013 14014 14015 14016 14017 14018 14019 14020 14021 14022 14023 14024 14025 14026 14027 14028 14029 14030 14031 14032 14033 14034 14035 14036 14037 14038 14039 14040 14041 14042 14043 14044 14045 14046 14047 14048 14049 14050 14051 14052 14053 14054 14055 14056 14057 14058 14059 14060 14061 14062 14063 14064 14065 14066 14067 14068 14069 14070 14071 14072 14073 14074 14075 14076 14077 14078 14079 14080 14081 14082 14083 14084 14085 14086 14087 14088 14089 14090 14091 14092 14093 14094 14095 14096 14097 14098 14099 14100 14101 14102 14103 14104 14105 14106 14107 14108 14109 14110 14111 14112 14113 14114 14115 14116 14117 14118 14119 14120 14121 14122 14123 14124 14125 14126 14127 14128 14129 14130 14131 14132 14133 14134 14135 14136 14137 14138 14139 14140 14141 14142 14143 14144 14145 14146 14147 14148 14149 14150 14151 14152 14153 14154 14155 14156 14157 14158 14159 14160 14161 14162 14163 14164 14165 14166 14167 14168 14169 14170 14171 14172 14173 14174 14175 14176 14177 14178 14179 14180 14181 14182 14183 14184 14185 14186 14187 14188 14189 14190 14191 14192 14193 14194 14195 14196 14197 14198 14199 14200 14201 14202 14203 14204 14205 14206 14207 14208 14209 14210 14211 14212 14213 14214 14215 14216 14217 14218 14219 14220 14221 14222 14223 14224 14225 14226 14227 14228 14229 14230 14231 14232 14233 14234 14235 14236 14237 14238 14239 14240 14241 14242 14243 14244 14245 14246 14247 14248 14249 14250 14251 14252 14253 14254 14255 14256 14257 14258 14259 14260 14261 14262 14263 14264 14265 14266 14267 14268 14269 14270 14271 14272 14273 14274 14275 14276 14277 14278 14279 14280 14281 14282 14283 14284 14285 14286 14287 14288 14289 14290 14291 14292 14293 14294 14295 14296 14297 14298 14299 14300 14301 14302 14303 14304 14305 14306 14307 14308 14309 14310 14311 14312 14313 14314 14315 14316 14317 14318 14319 14320 14321 14322 14323 14324 14325 14326 14327 14328 14329 14330 14331 14332 14333 14334 14335 14336 14337 14338 14339 14340 14341 14342 14343 14344 14345 14346 14347 14348 14349 14350 14351 14352 14353 14354 14355 14356 14357 14358 14359 14360 14361 14362 14363 14364 14365 14366 14367 14368 14369 14370 14371 14372 14373 14374 14375 14376 14377 14378 14379 14380 14381 14382 14383 14384 14385 14386 14387 14388 14389 14390 14391 14392 14393 14394 14395 14396 14397 14398 14399 14400 14401 14402 14403 14404 14405 14406 14407 14408 14409 14410 14411 14412 14413 14414 14415 14416 14417 14418 14419 14420 14421 14422 14423 14424 14425 14426 14427 14428 14429 14430 14431 14432 14433 14434 14435 14436 14437 14438 14439 14440 14441 14442 14443 14444 14445 14446 14447 14448 14449 14450 14451 14452 14453 14454 14455 14456 14457 14458 14459 14460 14461 14462 14463 14464 14465 14466 14467 14468 14469 14470 14471 14472 14473 14474 14475 14476 14477 14478 14479 14480 14481 14482 14483 14484 14485 14486 14487 14488 14489 14490 14491 14492 14493 14494 14495 14496 14497 14498 14499 14500 14501 14502 14503 14504 14505 14506 14507 14508 14509 14510 14511 14512 14513 14514 14515 14516 14517 14518 14519 14520 14521 14522 14523 14524 14525 14526 14527 14528 14529 14530 14531 14532 14533 14534 14535 14536 14537 14538 14539 14540 14541 14542 14543 14544 14545 14546 14547 14548 14549 14550 14551 14552 14553 14554 14555 14556 14557 14558 14559 14560 14561 14562 14563 14564 14565 14566 14567 14568 14569 14570 14571 14572 14573 14574 14575 14576 14577 14578 14579 14580 14581 14582 14583 14584 14585 14586 14587 14588 14589 14590 14591 14592 14593 14594 14595 14596 14597 14598 14599 14600 14601 14602 14603 14604 14605 14606 14607 14608 14609 14610 14611 14612 14613 14614 14615 14616 14617 14618 14619 14620 14621 14622 14623 14624 14625 14626 14627 14628 14629 14630 14631 14632 14633 14634 14635 14636 14637 14638 14639 14640 14641 14642 14643 14644 14645 14646 14647 14648 14649 14650 14651 14652 14653 14654 14655 14656 14657 14658 14659 14660 14661 14662 14663 14664 14665 14666 14667 14668 14669 14670 14671 14672 14673 14674 14675 14676 14677 14678 14679 14680 14681 14682 14683 14684 14685 14686 14687 14688 14689 14690 14691 14692 14693 14694 14695 14696 14697 14698 14699 14700 14701 14702 14703 14704 14705 14706 14707 14708 14709 14710 14711 14712 14713 14714 14715 14716 14717 14718 14719 14720 14721 14722 14723 14724 14725 14726 14727 14728 14729 14730 14731 14732 14733 14734 14735 14736 14737 14738 14739 14740 14741 14742 14743 14744 14745 14746 14747 14748 14749 14750 14751 14752 14753 14754 14755 14756 14757 14758 14759 14760 14761 14762 14763 14764 14765 14766 14767 14768 14769 14770 14771 14772 14773 14774 14775 14776 14777 14778 14779 14780 14781 14782 14783 14784 14785 14786 14787 14788 14789 14790 14791 14792 14793 14794 14795 14796 14797 14798 14799 14800 14801 14802 14803 14804 14805 14806 14807 14808 14809 14810 14811 14812 14813 14814 14815 14816 14817 14818 14819 14820 14821 14822 14823 14824 14825 14826 14827 14828 14829 14830 14831 14832 14833 14834 14835 14836 14837 14838 14839 14840 14841 14842 14843 14844 14845 14846 14847 14848 14849 14850 14851 14852 14853 14854 14855 14856 14857 14858 14859 14860 14861 14862 14863 14864 14865 14866 14867 14868 14869 14870 14871 14872 14873 14874 14875 14876 14877 14878 14879 14880 14881 14882 14883 14884 14885 14886 14887 14888 14889 14890 14891 14892 14893 14894 14895 14896 14897 14898 14899 14900 14901 14902 14903 14904 14905 14906 14907 14908 14909 14910 14911 14912 14913 14914 14915 14916 14917 14918 14919 14920 14921 14922 14923 14924 14925 14926 14927 14928 14929 14930 14931 14932 14933 14934 14935 14936 14937 14938 14939 14940 14941 14942 14943 14944 14945 14946 14947 14948 14949 14950 14951 14952 14953 14954 14955 14956 14957 14958 14959 14960 14961 14962 14963 14964 14965 14966 14967 14968 14969 14970 14971 14972 14973 14974 14975 14976 14977 14978 14979 14980 14981 14982 14983 14984 14985 14986 14987 14988 14989 14990 14991 14992 14993 14994 14995 14996 14997 14998 14999 15000 15001 15002 15003 15004 15005 15006 15007 15008 15009 15010 15011 15012 15013 15014 15015 15016 15017 15018 15019 15020 15021 15022 15023 15024 15025 15026 15027 15028 15029 15030 15031 15032 15033 15034 15035 15036 15037 15038 15039 15040 15041 15042 15043 15044 15045 15046 15047 15048 15049 15050 15051 15052 15053 15054 15055 15056 15057 15058 15059 15060 15061 15062 15063 15064 15065 15066 15067 15068 15069 15070 15071 15072 15073 15074 15075 15076 15077 15078 15079 15080 15081 15082 15083 15084 15085 15086 15087 15088 15089 15090 15091 15092 15093 15094 15095 15096 15097 15098 15099 15100 15101 15102 15103 15104 15105 15106 15107 15108 15109 15110 15111 15112 15113 15114 15115 15116 15117 15118 15119 15120 15121 15122 15123 15124 15125 15126 15127 15128 15129 15130 15131 15132 15133 15134 15135 15136 15137 15138 15139 15140 15141 15142 15143 15144 15145 15146 15147 15148 15149 15150 15151 15152 15153 15154 15155 15156 15157 15158 15159 15160 15161 15162 15163 15164 15165 15166 15167 15168 15169 15170 15171 15172 15173 15174 15175 15176 15177 15178 15179 15180 15181 15182 15183 15184 15185 15186 15187 15188 15189 15190 15191 15192 15193 15194 15195 15196 15197 15198 15199 15200 15201 15202 15203 15204 15205 15206 15207 15208 15209 15210 15211 15212 15213 15214 15215 15216 15217 15218 15219 15220 15221 15222 15223 15224 15225 15226 15227 15228 15229 15230 15231 15232 15233 15234 15235 15236 15237 15238 15239 15240 15241 15242 15243 15244 15245 15246 15247 15248 15249 15250 15251 15252 15253 15254 15255 15256 15257 15258 15259 15260 15261 15262 15263 15264 15265 15266 15267 15268 15269 15270 15271 15272 15273 15274 15275 15276 15277 15278 15279 15280 15281 15282 15283 15284 15285 15286 15287 15288 15289 15290 15291 15292 15293 15294 15295 15296 15297 15298 15299 15300 15301 15302 15303 15304 15305 15306 15307 15308 15309 15310 15311 15312 15313 15314 15315 15316 15317 15318 15319 15320 15321 15322 15323 15324 15325 15326 15327 15328 15329 15330 15331 15332 15333 15334 15335 15336 15337 15338 15339 15340 15341 15342 15343 15344 15345 15346 15347 15348 15349 15350 15351 15352 15353 15354 15355 15356 15357 15358 15359 15360 15361 15362 15363 15364 15365 15366 15367 15368 15369 15370 15371 15372 15373 15374 15375 15376 15377 15378 15379 15380 15381 15382 15383 15384 15385 15386 15387 15388 15389 15390 15391 15392 15393 15394 15395 15396 15397 15398 15399 15400 15401 15402 15403 15404 15405 15406 15407 15408 15409 15410 15411 15412 15413 15414 15415 15416 15417 15418 15419 15420 15421 15422 15423 15424 15425 15426 15427 15428 15429 15430 15431 15432 15433 15434 15435 15436 15437 15438 15439 15440 15441 15442 15443 15444 15445 15446 15447 15448 15449 15450 15451 15452 15453 15454 15455 15456 15457 15458 15459 15460 15461 15462 15463 15464 15465 15466 15467 15468 15469 15470 15471 15472 15473 15474 15475 15476 15477 15478 15479 15480 15481 15482 15483 15484 15485 15486 15487 15488 15489 15490 15491 15492 15493 15494 15495 15496 15497 15498 15499 15500 15501 15502 15503 15504 15505 15506 15507 15508 15509 15510 15511 15512 15513 15514 15515 15516 15517 15518 15519 15520 15521 15522 15523 15524 15525 15526 15527 15528 15529 15530 15531 15532 15533 15534 15535 15536 15537 15538 15539 15540 15541 15542 15543 15544 15545 15546 15547 15548 15549 15550 15551 15552 15553 15554 15555 15556 15557 15558 15559 15560 15561 15562 15563 15564 15565 15566 15567 15568 15569 15570 15571 15572 15573 15574 15575 15576 15577 15578 15579 15580 15581 15582 15583 15584 15585 15586 15587 15588 15589 15590 15591 15592 15593 15594 15595 15596 15597 15598 15599 15600 15601 15602 15603 15604 15605 15606 15607 15608 15609 15610 15611 15612 15613 15614 15615 15616 15617 15618 15619 15620 15621 15622 15623 15624 15625 15626 15627 15628 15629 15630 15631 15632 15633 15634 15635 15636 15637 15638 15639 15640 15641 15642 15643 15644 15645 15646 15647 15648 15649 15650 15651 15652 15653 15654 15655 15656 15657 15658 15659 15660 15661 15662 15663 15664 15665 15666 15667 15668 15669 15670 15671 15672 15673 15674 15675 15676 15677 15678 15679 15680 15681 15682 15683 15684 15685 15686 15687 15688 15689 15690 15691 15692 15693 15694 15695 15696 15697 15698 15699 15700 15701 15702 15703 15704 15705 15706 15707 15708 15709 15710 15711 15712 15713 15714 15715 15716 15717 15718 15719 15720 15721 15722 15723 15724 15725 15726 15727 15728 15729 15730 15731 15732 15733 15734 15735 15736 15737 15738 15739 15740 15741 15742 15743 15744 15745 15746 15747 15748 15749 15750 15751 15752 15753 15754 15755 15756 15757 15758 15759 15760 15761 15762 15763 15764 15765 15766 15767 15768 15769 15770 15771 15772 15773 15774 15775 15776 15777 15778 15779 15780 15781 15782 15783 15784 15785 15786 15787 15788 15789 15790 15791 15792 15793 15794 15795 15796 15797 15798 15799 15800 15801 15802 15803 15804 15805 15806 15807 15808 15809 15810 15811 15812 15813 15814 15815 15816 15817 15818 15819 15820 15821 15822 15823 15824 15825 15826 15827 15828 15829 15830 15831 15832 15833 15834 15835 15836 15837 15838 15839 15840 15841 15842 15843 15844 15845 15846 15847 15848 15849 15850 15851 15852 15853 15854 15855 15856 15857 15858 15859 15860 15861 15862 15863 15864 15865 15866 15867 15868 15869 15870 15871 15872 15873 15874 15875 15876 15877 15878 15879 15880 15881 15882 15883 15884 15885 15886 15887 15888 15889 15890 15891 15892 15893 15894 15895 15896 15897 15898 15899 15900 15901 15902 15903 15904 15905 15906 15907 15908 15909 15910 15911 15912 15913 15914 15915 15916 15917 15918 15919 15920 15921 15922 15923 15924 15925 15926 15927 15928 15929 15930 15931 15932 15933 15934 15935 15936 15937 15938 15939 15940 15941 15942 15943 15944 15945 15946 15947 15948 15949 15950 15951 15952 15953 15954 15955 15956 15957 15958 15959 15960 15961 15962 15963 15964 15965 15966 15967 15968 15969 15970 15971 15972 15973 15974 15975 15976 15977 15978 15979 15980 15981 15982 15983 15984 15985 15986 15987 15988 15989 15990 15991 15992 15993 15994 15995 15996 15997 15998 15999 16000 16001 16002 16003 16004 16005 16006 16007 16008 16009 16010 16011 16012 16013 16014 16015 16016 16017 16018 16019 16020 16021 16022 16023 16024 16025 16026 16027 16028 16029 16030 16031 16032 16033 16034 16035 16036 16037 16038 16039 16040 16041 16042 16043 16044 16045 16046 16047 16048 16049 16050 16051 16052 16053 16054 16055 16056 16057 16058 16059 16060 16061 16062 16063 16064 16065 16066 16067 16068 16069 16070 16071 16072 16073 16074 16075 16076 16077 16078 16079 16080 16081 16082 16083 16084 16085 16086 16087 16088 16089 16090 16091 16092 16093 16094 16095 16096 16097 16098 16099 16100 16101 16102 16103 16104 16105 16106 16107 16108 16109 16110 16111 16112 16113 16114 16115 16116 16117 16118 16119 16120 16121 16122 16123 16124 16125 16126 16127 16128 16129 16130 16131 16132 16133 16134 16135 16136 16137 16138 16139 16140 16141 16142 16143 16144 16145 16146 16147 16148 16149 16150 16151 16152 16153 16154 16155 16156 16157 16158 16159 16160 16161 16162 16163 16164 16165 16166 16167 16168 16169 16170 16171 16172 16173 16174 16175 16176 16177 16178 16179 16180 16181 16182 16183 16184 16185 16186 16187 16188 16189 16190 16191 16192 16193 16194 16195 16196 16197 16198 16199 16200 16201 16202 16203 16204 16205 16206 16207 16208 16209 16210 16211 16212 16213 16214 16215 16216 16217 16218 16219 16220 16221 16222 16223 16224 16225 16226 16227 16228 16229 16230 16231 16232 16233 16234 16235 16236 16237 16238 16239 16240 16241 16242 16243 16244 16245 16246 16247 16248 16249 16250 16251 16252 16253 16254 16255 16256 16257 16258 16259 16260 16261 16262 16263 16264 16265 16266 16267 16268 16269 16270 16271 16272 16273 16274 16275 16276 16277 16278 16279 16280 16281 16282 16283 16284 16285 16286 16287 16288 16289 16290 16291 16292 16293 16294 16295 16296 16297 16298 16299 16300 16301 16302 16303 16304 16305 16306 16307 16308 16309 16310 16311 16312 16313 16314 16315 16316 16317 16318 16319 16320 16321 16322 16323 16324 16325 16326 16327 16328 16329 16330 16331 16332 16333 16334 16335 16336 16337 16338 16339 16340 16341 16342 16343 16344 16345 16346 16347 16348 16349 16350 16351 16352 16353 16354 16355 16356 16357 16358 16359 16360 16361 16362 16363 16364 16365 16366 16367 16368 16369 16370 16371 16372 16373 16374 16375 16376 16377 16378 16379 16380 16381 16382 16383 16384 16385 16386 16387 16388 16389 16390 16391 16392 16393 16394 16395 16396 16397 16398 16399 16400 16401 16402 16403 16404 16405 16406 16407 16408 16409 16410 16411 16412 16413 16414 16415 16416 16417 16418 16419 16420 16421 16422 16423 16424 16425 16426 16427 16428 16429 16430 16431 16432 16433 16434 16435 16436 16437 16438 16439 16440 16441 16442 16443 16444 16445 16446 16447 16448 16449 16450 16451 16452 16453 16454 16455 16456 16457 16458 16459 16460 16461 16462 16463 16464 16465 16466 16467 16468 16469 16470 16471 16472 16473 16474 16475 16476 16477 16478 16479 16480 16481 16482 16483 16484 16485 16486 16487 16488 16489 16490 16491 16492 16493 16494 16495 16496 16497 16498 16499 16500 16501 16502 16503 16504 16505 16506 16507 16508 16509 16510 16511 16512 16513 16514 16515 16516 16517 16518 16519 16520 16521 16522 16523 16524 16525 16526 16527 16528 16529 16530 16531 16532 16533 16534 16535 16536 16537 16538 16539 16540 16541 16542 16543 16544 16545 16546 16547 16548 16549 16550 16551 16552 16553 16554 16555 16556 16557 16558 16559 16560 16561 16562 16563 16564 16565 16566 16567 16568 16569 16570 16571 16572 16573 16574 16575 16576 16577 16578 16579 16580 16581 16582 16583 16584 16585 16586 16587 16588 16589 16590 16591 16592 16593 16594 16595 16596 16597 16598 16599 16600 16601 16602 16603 16604 16605 16606 16607 16608 16609 16610 16611 16612 16613 16614 16615 16616 16617 16618 16619 16620 16621 16622 16623 16624 16625 16626 16627 16628 16629 16630 16631 16632 16633 16634 16635 16636 16637 16638 16639 16640 16641 16642 16643 16644 16645 16646 16647 16648 16649 16650 16651 16652 16653 16654 16655 16656 16657 16658 16659 16660 16661 16662 16663 16664 16665 16666 16667 16668 16669 16670 16671 16672 16673 16674 16675 16676 16677 16678 16679 16680 16681 16682 16683 16684 16685 16686 16687 16688 16689 16690 16691 16692 16693 16694 16695 16696 16697 16698 16699 16700 16701 16702 16703 16704 16705 16706 16707 16708 16709 16710 16711 16712 16713 16714 16715 16716 16717 16718 16719 16720 16721 16722 16723 16724 16725 16726 16727 16728 16729 16730 16731 16732 16733 16734 16735 16736 16737 16738 16739 16740 16741 16742 16743 16744 16745 16746 16747 16748 16749 16750 16751 16752 16753 16754 16755 16756 16757 16758 16759 16760 16761 16762 16763 16764 16765 16766 16767 16768 16769 16770 16771 16772 16773 16774 16775 16776 16777 16778 16779 16780 16781 16782 16783 16784 16785 16786 16787 16788 16789 16790 16791 16792 16793 16794 16795 16796 16797 16798 16799 16800 16801 16802 16803 16804 16805 16806 16807 16808 16809 16810 16811 16812 16813 16814 16815 16816 16817 16818 16819 16820 16821 16822 16823 16824 16825 16826 16827 16828 16829 16830 16831 16832 16833 16834 16835 16836 16837 16838 16839 16840 16841 16842 16843 16844 16845 16846 16847 16848 16849 16850 16851 16852 16853 16854 16855 16856 16857 16858 16859 16860 16861 16862 16863 16864 16865 16866 16867 16868 16869 16870 16871 16872 16873 16874 16875 16876 16877 16878 16879 16880 16881 16882 16883 16884 16885 16886 16887 16888 16889 16890 16891 16892 16893 16894 16895 16896 16897 16898 16899 16900 16901 16902 16903 16904 16905 16906 16907 16908 16909 16910 16911 16912 16913 16914 16915 16916 16917 16918 16919 16920 16921 16922 16923 16924 16925 16926 16927 16928 16929 16930 16931 16932 16933 16934 16935 16936 16937 16938 16939 16940 16941 16942 16943 16944 16945 16946 16947 16948 16949 16950 16951 16952 16953 16954 16955 16956 16957 16958 16959 16960 16961 16962 16963 16964 16965 16966 16967 16968 16969 16970 16971 16972 16973 16974 16975 16976 16977 16978 16979 16980 16981 16982 16983 16984 16985 16986 16987 16988 16989 16990 16991 16992 16993 16994 16995 16996 16997 16998 16999 17000 17001 17002 17003 17004 17005 17006 17007 17008 17009 17010 17011 17012 17013 17014 17015 17016 17017 17018 17019 17020 17021 17022 17023 17024 17025 17026 17027 17028 17029 17030 17031 17032 17033 17034 17035 17036 17037 17038 17039 17040 17041 17042 17043 17044 17045 17046 17047 17048 17049 17050 17051 17052 17053 17054 17055 17056 17057 17058 17059 17060 17061 17062 17063 17064 17065 17066 17067 17068 17069 17070 17071 17072 17073 17074 17075 17076 17077 17078 17079 17080 17081 17082 17083 17084 17085 17086 17087 17088 17089 17090 17091 17092 17093 17094 17095 17096 17097 17098 17099 17100 17101 17102 17103 17104 17105 17106 17107 17108 17109 17110 17111 17112 17113 17114 17115 17116 17117 17118 17119 17120 17121 17122 17123 17124 17125 17126 17127 17128 17129 17130 17131 17132 17133 17134 17135 17136 17137 17138 17139 17140 17141 17142 17143 17144 17145 17146 17147 17148 17149 17150 17151 17152 17153 17154 17155 17156 17157 17158 17159 17160 17161 17162 17163 17164 17165 17166 17167 17168 17169 17170 17171 17172 17173 17174 17175 17176 17177 17178 17179 17180 17181 17182 17183 17184 17185 17186 17187 17188 17189 17190 17191 17192 17193 17194 17195 17196 17197 17198 17199 17200 17201 17202 17203 17204 17205 17206 17207 17208 17209 17210 17211 17212 17213 17214 17215 17216 17217 17218 17219 17220 17221 17222 17223 17224 17225 17226 17227 17228 17229 17230 17231 17232 17233 17234 17235 17236 17237 17238 17239 17240 17241 17242 17243 17244 17245 17246 17247 17248 17249 17250 17251 17252 17253 17254 17255 17256 17257 17258 17259 17260 17261 17262 17263 17264 17265 17266 17267 17268 17269 17270 17271 17272 17273 17274 17275 17276 17277 17278 17279 17280 17281 17282 17283 17284 17285 17286 17287 17288 17289 17290 17291 17292 17293 17294 17295 17296 17297 17298 17299 17300 17301 17302 17303 17304 17305 17306 17307 17308 17309 17310 17311 17312 17313 17314 17315 17316 17317 17318 17319 17320 17321 17322 17323 17324 17325 17326 17327 17328 17329 17330 17331 17332 17333 17334 17335 17336 17337 17338 17339 17340 17341 17342 17343 17344 17345 17346 17347 17348 17349 17350 17351 17352 17353 17354 17355 17356 17357 17358 17359 17360 17361 17362 17363 17364 17365 17366 17367 17368 17369 17370 17371 17372 17373 17374 17375 17376 17377 17378 17379 17380 17381 17382 17383 17384 17385 17386 17387 17388 17389 17390 17391 17392 17393 17394 17395 17396 17397 17398 17399 17400 17401 17402 17403 17404 17405 17406 17407 17408 17409 17410 17411 17412 17413 17414 17415 17416 17417 17418 17419 17420 17421 17422 17423 17424 17425 17426 17427 17428 17429 17430 17431 17432 17433 17434 17435 17436 17437 17438 17439 17440 17441 17442 17443 17444 17445 17446 17447 17448 17449 17450 17451 17452 17453 17454 17455 17456 17457 17458 17459 17460 17461 17462 17463 17464 17465 17466 17467 17468 17469 17470 17471 17472 17473 17474 17475 17476 17477 17478 17479 17480 17481 17482 17483 17484 17485 17486 17487 17488 17489 17490 17491 17492 17493 17494 17495 17496 17497 17498 17499 17500 17501 17502 17503 17504 17505 17506 17507 17508 17509 17510 17511 17512 17513 17514 17515 17516 17517 17518 17519 17520 17521 17522 17523 17524 17525 17526 17527 17528 17529 17530 17531 17532 17533 17534 17535 17536 17537 17538 17539 17540 17541 17542 17543 17544 17545 17546 17547 17548 17549 17550 17551 17552 17553 17554 17555 17556 17557 17558 17559 17560 17561 17562 17563 17564 17565 17566 17567 17568 17569 17570 17571 17572 17573 17574 17575 17576 17577 17578 17579 17580 17581 17582 17583 17584 17585 17586 17587 17588 17589 17590 17591 17592 17593 17594 17595 17596 17597 17598 17599 17600 17601 17602 17603 17604 17605 17606 17607 17608 17609 17610 17611 17612 17613 17614 17615 17616 17617 17618 17619 17620 17621 17622 17623 17624 17625 17626 17627 17628 17629 17630 17631 17632 17633 17634 17635 17636 17637 17638 17639 17640 17641 17642 17643 17644 17645 17646 17647 17648 17649 17650 17651 17652 17653 17654 17655 17656 17657 17658 17659 17660 17661 17662 17663 17664 17665 17666 17667 17668 17669 17670 17671 17672 17673 17674 17675 17676 17677 17678 17679 17680 17681 17682 17683 17684 17685 17686 17687 17688 17689 17690 17691 17692 17693 17694 17695 17696 17697 17698 17699 17700 17701 17702 17703 17704 17705 17706 17707 17708 17709 17710 17711 17712 17713 17714 17715 17716 17717 17718 17719 17720 17721 17722 17723 17724 17725 17726 17727 17728 17729 17730 17731 17732 17733 17734 17735 17736 17737 17738 17739 17740 17741 17742 17743 17744 17745 17746 17747 17748 17749 17750 17751 17752 17753 17754 17755 17756 17757 17758 17759 17760 17761 17762 17763 17764 17765 17766 17767 17768 17769 17770 17771 17772 17773 17774 17775 17776 17777 17778 17779 17780 17781 17782 17783 17784 17785 17786 17787 17788 17789 17790 17791 17792 17793 17794 17795 17796 17797 17798 17799 17800 17801 17802 17803 17804 17805 17806 17807 17808 17809 17810 17811 17812 17813 17814 17815 17816 17817 17818 17819 17820 17821 17822 17823 17824 17825 17826 17827 17828 17829 17830 17831 17832 17833 17834 17835 17836 17837 17838 17839 17840 17841 17842 17843 17844 17845 17846 17847 17848 17849 17850 17851 17852 17853 17854 17855 17856 17857 17858 17859 17860 17861 17862 17863 17864 17865 17866 17867 17868 17869 17870 17871 17872 17873 17874 17875 17876 17877 17878 17879 17880 17881 17882 17883 17884 17885 17886 17887 17888 17889 17890 17891 17892 17893 17894 17895 17896 17897 17898 17899 17900 17901 17902 17903 17904 17905 17906 17907 17908 17909 17910 17911 17912 17913 17914 17915 17916 17917 17918 17919 17920 17921 17922 17923 17924 17925 17926 17927 17928 17929 17930 17931 17932 17933 17934 17935 17936 17937 17938 17939 17940 17941 17942 17943 17944 17945 17946 17947 17948 17949 17950 17951 17952 17953 17954 17955 17956 17957 17958 17959 17960 17961 17962 17963 17964 17965 17966 17967 17968 17969 17970 17971 17972 17973 17974 17975 17976 17977 17978 17979 17980 17981 17982 17983 17984 17985 17986 17987 17988 17989 17990 17991 17992 17993 17994 17995 17996 17997 17998 17999 18000 18001 18002 18003 18004 18005 18006 18007 18008 18009 18010 18011 18012 18013 18014 18015 18016 18017 18018 18019 18020 18021 18022 18023 18024 18025 18026 18027 18028 18029 18030 18031 18032 18033 18034 18035 18036 18037 18038 18039 18040 18041 18042 18043 18044 18045 18046 18047 18048 18049 18050 18051 18052 18053 18054 18055 18056 18057 18058 18059 18060 18061 18062 18063 18064 18065 18066 18067 18068 18069 18070 18071 18072 18073 18074 18075 18076 18077 18078 18079 18080 18081 18082 18083 18084 18085 18086 18087 18088 18089 18090 18091 18092 18093 18094 18095 18096 18097 18098 18099 18100 18101 18102 18103 18104 18105 18106 18107 18108 18109 18110 18111 18112 18113 18114 18115 18116 18117 18118 18119 18120 18121 18122 18123 18124 18125 18126 18127 18128 18129 18130 18131 18132 18133 18134 18135 18136 18137 18138 18139 18140 18141 18142 18143 18144 18145 18146 18147 18148 18149 18150 18151 18152 18153 18154 18155 18156 18157 18158 18159 18160 18161 18162 18163 18164 18165 18166 18167 18168 18169 18170 18171 18172 18173 18174 18175 18176 18177 18178 18179 18180 18181 18182 18183 18184 18185 18186 18187 18188 18189 18190 18191 18192 18193 18194 18195 18196 18197 18198 18199 18200 18201 18202 18203 18204 18205 18206 18207 18208 18209 18210 18211 18212 18213 18214 18215 18216 18217 18218 18219 18220 18221 18222 18223 18224 18225 18226 18227 18228 18229 18230 18231 18232 18233 18234 18235 18236 18237 18238 18239 18240 18241 18242 18243 18244 18245 18246 18247 18248 18249 18250 18251 18252 18253 18254 18255 18256 18257 18258 18259 18260 18261 18262 18263 18264 18265 18266 18267 18268 18269 18270 18271 18272 18273 18274 18275 18276 18277 18278 18279 18280 18281 18282 18283 18284 18285 18286 18287 18288 18289 18290 18291 18292 18293 18294 18295 18296 18297 18298 18299 18300 18301 18302 18303 18304 18305 18306 18307 18308 18309 18310 18311 18312 18313 18314 18315 18316 18317 18318 18319 18320 18321 18322 18323 18324 18325 18326 18327 18328 18329 18330 18331 18332 18333 18334 18335 18336 18337 18338 18339 18340 18341 18342 18343 18344 18345 18346 18347 18348 18349 18350 18351 18352 18353 18354 18355 18356 18357 18358 18359 18360 18361 18362 18363 18364 18365 18366 18367 18368 18369 18370 18371 18372 18373 18374 18375 18376 18377 18378 18379 18380 18381 18382 18383 18384 18385 18386 18387 18388 18389 18390 18391 18392 18393 18394 18395 18396 18397 18398 18399 18400 18401 18402 18403 18404 18405 18406 18407 18408 18409 18410 18411 18412 18413 18414 18415 18416 18417 18418 18419 18420 18421 18422 18423 18424 18425 18426 18427 18428 18429 18430 18431 18432 18433 18434 18435 18436 18437 18438 18439 18440 18441 18442 18443 18444 18445 18446 18447 18448 18449 18450 18451 18452 18453 18454 18455 18456 18457 18458 18459 18460 18461 18462 18463 18464 18465 18466 18467 18468 18469 18470 18471 18472 18473 18474 18475 18476 18477 18478 18479 18480 18481 18482 18483 18484 18485 18486 18487 18488 18489 18490 18491 18492 18493 18494 18495 18496 18497 18498 18499 18500 18501 18502 18503 18504 18505 18506 18507 18508 18509 18510 18511 18512 18513 18514 18515 18516 18517 18518 18519 18520 18521 18522 18523 18524 18525 18526 18527 18528 18529 18530 18531 18532 18533 18534 18535 18536 18537 18538 18539 18540 18541 18542 18543 18544 18545 18546 18547 18548 18549 18550 18551 18552 18553 18554 18555 18556 18557 18558 18559 18560 18561 18562 18563 18564 18565 18566 18567 18568 18569 18570 18571 18572 18573 18574 18575 18576 18577 18578 18579 18580 18581 18582 18583 18584 18585 18586 18587 18588 18589 18590 18591 18592 18593 18594 18595 18596 18597 18598 18599 18600 18601 18602 18603 18604 18605 18606 18607 18608 18609 18610 18611 18612 18613 18614 18615 18616 18617 18618 18619 18620 18621 18622 18623 18624 18625 18626 18627 18628 18629 18630 18631 18632 18633 18634 18635 18636 18637 18638 18639 18640 18641 18642 18643 18644 18645 18646 18647 18648 18649 18650 18651 18652 18653 18654 18655 18656 18657 18658 18659 18660 18661 18662 18663 18664 18665 18666 18667 18668 18669 18670 18671 18672 18673 18674 18675 18676 18677 18678 18679 18680 18681 18682 18683 18684 18685 18686 18687 18688 18689 18690 18691 18692 18693 18694 18695 18696 18697 18698 18699 18700 18701 18702 18703 18704 18705 18706 18707 18708 18709 18710 18711 18712 18713 18714 18715 18716 18717 18718 18719 18720 18721 18722 18723 18724 18725 18726 18727 18728 18729 18730 18731 18732 18733 18734 18735 18736 18737 18738 18739 18740 18741 18742 18743 18744 18745 18746 18747 18748 18749 18750 18751 18752 18753 18754 18755 18756 18757 18758 18759 18760 18761 18762 18763 18764 18765 18766 18767 18768 18769 18770 18771 18772 18773 18774 18775 18776 18777 18778 18779 18780 18781 18782 18783 18784 18785 18786 18787 18788 18789 18790 18791 18792 18793 18794 18795 18796 18797 18798 18799 18800 18801 18802 18803 18804 18805 18806 18807 18808 18809 18810 18811 18812 18813 18814 18815 18816 18817 18818 18819 18820 18821 18822 18823 18824 18825 18826 18827 18828 18829 18830 18831 18832 18833 18834 18835 18836 18837 18838 18839 18840 18841 18842 18843 18844 18845 18846 18847 18848 18849 18850 18851 18852 18853 18854 18855 18856 18857 18858 18859 18860 18861 18862 18863 18864 18865 18866 18867 18868 18869 18870 18871 18872 18873 18874 18875 18876 18877 18878 18879 18880 18881 18882 18883 18884 18885 18886 18887 18888 18889 18890 18891 18892 18893 18894 18895 18896 18897 18898 18899 18900 18901 18902 18903 18904 18905 18906 18907 18908 18909 18910 18911 18912 18913 18914 18915 18916 18917 18918 18919 18920 18921 18922 18923 18924 18925 18926 18927 18928 18929 18930 18931 18932 18933 18934 18935 18936 18937 18938 18939 18940 18941 18942 18943 18944 18945 18946 18947 18948 18949 18950 18951 18952 18953 18954 18955 18956 18957 18958 18959 18960 18961 18962 18963 18964 18965 18966 18967 18968 18969 18970 18971 18972 18973 18974 18975 18976 18977 18978 18979 18980 18981 18982 18983 18984 18985 18986 18987 18988 18989 18990 18991 18992 18993 18994 18995 18996 18997 18998 18999 19000 19001 19002 19003 19004 19005 19006 19007 19008 19009 19010 19011 19012 19013 19014 19015 19016 19017 19018 19019 19020 19021 19022 19023 19024 19025 19026 19027 19028 19029 19030 19031 19032 19033 19034 19035 19036 19037 19038 19039 19040 19041 19042 19043 19044 19045 19046 19047 19048 19049 19050 19051 19052 19053 19054 19055 19056 19057 19058 19059 19060 19061 19062 19063 19064 19065 19066 19067 19068 19069 19070 19071 19072 19073 19074 19075 19076 19077 19078 19079 19080 19081 19082 19083 19084 19085 19086 19087 19088 19089 19090 19091 19092 19093 19094 19095 19096 19097 19098 19099 19100 19101 19102 19103 19104 19105 19106 19107 19108 19109 19110 19111 19112 19113 19114 19115 19116 19117 19118 19119 19120 19121 19122 19123 19124 19125 19126 19127 19128 19129 19130 19131 19132 19133 19134 19135 19136 19137 19138 19139 19140 19141 19142 19143 19144 19145 19146 19147 19148 19149 19150 19151 19152 19153 19154 19155 19156 19157 19158 19159 19160 19161 19162 19163 19164 19165 19166 19167 19168 19169 19170 19171 19172 19173 19174 19175 19176 19177 19178 19179 19180 19181 19182 19183 19184 19185 19186 19187 19188 19189 19190 19191 19192 19193 19194 19195 19196 19197 19198 19199 19200 19201 19202 19203 19204 19205 19206 19207 19208 19209 19210 19211 19212 19213 19214 19215 19216 19217 19218 19219 19220 19221 19222 19223 19224 19225 19226 19227 19228 19229 19230 19231 19232 19233 19234 19235 19236 19237 19238 19239 19240 19241 19242 19243 19244 19245 19246 19247 19248 19249 19250 19251 19252 19253 19254 19255 19256 19257 19258 19259 19260 19261 19262 19263 19264 19265 19266 19267 19268 19269 19270 19271 19272 19273 19274 19275 19276 19277 19278 19279 19280 19281 19282 19283 19284 19285 19286 19287 19288 19289 19290 19291 19292 19293 19294 19295 19296 19297 19298 19299 19300 19301 19302 19303 19304 19305 19306 19307 19308 19309 19310 19311 19312 19313 19314 19315 19316 19317 19318 19319 19320 19321 19322 19323 19324 19325 19326 19327 19328 19329 19330 19331 19332 19333 19334 19335 19336 19337 19338 19339 19340 19341 19342 19343 19344 19345 19346 19347 19348 19349 19350 19351 19352 19353 19354 19355 19356 19357 19358 19359 19360 19361 19362 19363 19364 19365 19366 19367 19368 19369 19370 19371 19372 19373 19374 19375 19376 19377 19378 19379 19380 19381 19382 19383 19384 19385 19386 19387 19388 19389 19390 19391 19392 19393 19394 19395 19396 19397 19398 19399 19400 19401 19402 19403 19404 19405 19406 19407 19408 19409 19410 19411 19412 19413 19414 19415 19416 19417 19418 19419 19420 19421 19422 19423 19424 19425 19426 19427 19428 19429 19430 19431 19432 19433 19434 19435 19436 19437 19438 19439 19440 19441 19442 19443 19444 19445 19446 19447 19448 19449 19450 19451 19452 19453 19454 19455 19456 19457 19458 19459 19460 19461 19462 19463 19464 19465 19466 19467 19468 19469 19470 19471 19472 19473 19474 19475 19476 19477 19478 19479 19480 19481 19482 19483 19484 19485 19486 19487 19488 19489 19490 19491 19492 19493 19494 19495 19496 19497 19498 19499 19500 19501 19502 19503 19504 19505 19506 19507 19508 19509 19510 19511 19512 19513 19514 19515 19516 19517 19518 19519 19520 19521 19522 19523 19524 19525 19526 19527 19528 19529 19530 19531 19532 19533 19534 19535 19536 19537 19538 19539 19540 19541 19542 19543 19544 19545 19546 19547 19548 19549 19550 19551 19552 19553 19554 19555 19556 19557 19558 19559 19560 19561 19562 19563 19564 19565 19566 19567 19568 19569 19570 19571 19572 19573 19574 19575 19576 19577 19578 19579 19580 19581 19582 19583 19584 19585 19586 19587 19588 19589 19590 19591 19592 19593 19594 19595 19596 19597 19598 19599 19600 19601 19602 19603 19604 19605 19606 19607 19608 19609 19610 19611 19612 19613 19614 19615 19616 19617 19618 19619 19620 19621 19622 19623 19624 19625 19626 19627 19628 19629 19630 19631 19632 19633 19634 19635 19636 19637 19638 19639 19640 19641 19642 19643 19644 19645 19646 19647 19648 19649 19650 19651 19652 19653 19654 19655 19656 19657 19658 19659 19660 19661 19662 19663 19664 19665 19666 19667 19668 19669 19670 19671 19672 19673 19674 19675 19676 19677 19678 19679 19680 19681 19682 19683 19684 19685 19686 19687 19688 19689 19690 19691 19692 19693 19694 19695 19696 19697 19698 19699 19700 19701 19702 19703 19704 19705 19706 19707 19708 19709 19710 19711 19712 19713 19714 19715 19716 19717 19718 19719 19720 19721 19722 19723 19724 19725 19726 19727 19728 19729 19730 19731 19732 19733 19734 19735 19736 19737 19738 19739 19740 19741 19742 19743 19744 19745 19746 19747 19748 19749 19750 19751 19752 19753 19754 19755 19756 19757 19758 19759 19760 19761 19762 19763 19764 19765 19766 19767 19768 19769 19770 19771 19772 19773 19774 19775 19776 19777 19778 19779 19780 19781 19782 19783 19784 19785 19786 19787 19788 19789 19790 19791 19792 19793 19794 19795 19796 19797 19798 19799 19800 19801 19802 19803 19804 19805 19806 19807 19808 19809 19810 19811 19812 19813 19814 19815 19816 19817 19818 19819 19820 19821 19822 19823 19824 19825 19826 19827 19828 19829 19830 19831 19832 19833 19834 19835 19836 19837 19838 19839 19840 19841 19842 19843 19844 19845 19846 19847 19848 19849 19850 19851 19852 19853 19854 19855 19856 19857 19858 19859 19860 19861 19862 19863 19864 19865 19866 19867 19868 19869 19870 19871 19872 19873 19874 19875 19876 19877 19878 19879 19880 19881 19882 19883 19884 19885 19886 19887 19888 19889 19890 19891 19892 19893 19894 19895 19896 19897 19898 19899 19900 19901 19902 19903 19904 19905 19906 19907 19908 19909 19910 19911 19912 19913 19914 19915 19916 19917 19918 19919 19920 19921 19922 19923 19924 19925 19926 19927 19928 19929 19930 19931 19932 19933 19934 19935 19936 19937 19938 19939 19940 19941 19942 19943 19944 19945 19946 19947 19948 19949 19950 19951 19952 19953 19954 19955 19956 19957 19958 19959 19960 19961 19962 19963 19964 19965 19966 19967 19968 19969 19970 19971 19972 19973 19974 19975 19976 19977 19978 19979 19980 19981 19982 19983 19984 19985 19986 19987 19988 19989 19990 19991 19992 19993 19994 19995 19996 19997 19998 19999 20000 20001 20002 20003 20004 20005 20006 20007 20008 20009 20010 20011 20012 20013 20014 20015 20016 20017 20018 20019 20020 20021 20022 20023 20024 20025 20026 20027 20028 20029 20030 20031 20032 20033 20034 20035 20036 20037 20038 20039 20040 20041 20042 20043 20044 20045 20046 20047 20048 20049 20050 20051 20052 20053 20054 20055 20056 20057 20058 20059 20060 20061 20062 20063 20064 20065 20066 20067 20068 20069 20070 20071 20072 20073 20074 20075 20076 20077 20078 20079 20080 20081 20082 20083 20084 20085 20086 20087 20088 20089 20090 20091 20092 20093 20094 20095 20096 20097 20098 20099 20100 20101 20102 20103 20104 20105 20106 20107 20108 20109 20110 20111 20112 20113 20114 20115 20116 20117 20118 20119 20120 20121 20122 20123 20124 20125 20126 20127 20128 20129 20130 20131 20132 20133 20134 20135 20136 20137 20138 20139 20140 20141 20142 20143 20144 20145 20146 20147 20148 20149 20150 20151 20152 20153 20154 20155 20156 20157 20158 20159 20160 20161 20162 20163 20164 20165 20166 20167 20168 20169 20170 20171 20172 20173 20174 20175 20176 20177 20178 20179 20180 20181 20182 20183 20184 20185 20186 20187 20188 20189 20190 20191 20192 20193 20194 20195 20196 20197 20198 20199 20200 20201 20202 20203 20204 20205 20206 20207 20208 20209 20210 20211 20212 20213 20214 20215 20216 20217 20218 20219 20220 20221 20222 20223 20224 20225 20226 20227 20228 20229 20230 20231 20232 20233 20234 20235 20236 20237 20238 20239 20240 20241 20242 20243 20244 20245 20246 20247 20248 20249 20250 20251 20252 20253 20254 20255 20256 20257 20258 20259 20260 20261 20262 20263 20264 20265 20266 20267 20268 20269 20270 20271 20272 20273 20274 20275 20276 20277 20278 20279 20280 20281 20282 20283 20284 20285 20286 20287 20288 20289 20290 20291 20292 20293 20294 20295 20296 20297 20298 20299 20300 20301 20302 20303 20304 20305 20306 20307 20308 20309 20310 20311 20312 20313 20314 20315 20316 20317 20318 20319 20320 20321 20322 20323 20324 20325 20326 20327 20328 20329 20330 20331 20332 20333 20334 20335 20336 20337 20338 20339 20340 20341 20342 20343 20344 20345 20346 20347 20348 20349 20350 20351 20352 20353 20354 20355 20356 20357 20358 20359 20360 20361 20362 20363 20364 20365 20366 20367 20368 20369 20370 20371 20372 20373 20374 20375 20376 20377 20378 20379 20380 20381 20382 20383 20384 20385 20386 20387 20388 20389 20390 20391 20392 20393 20394 20395 20396 20397 20398 20399 20400 20401 20402 20403 20404 20405 20406 20407 20408 20409 20410 20411 20412 20413 20414 20415 20416 20417 20418 20419 20420 20421 20422 20423 20424 20425 20426 20427 20428 20429 20430 20431 20432 20433 20434 20435 20436 20437 20438 20439 20440 20441 20442 20443 20444 20445 20446 20447 20448 20449 20450 20451 20452 20453 20454 20455 20456 20457 20458 20459 20460 20461 20462 20463 20464 20465 20466 20467 20468 20469 20470 20471 20472 20473 20474 20475 20476 20477 20478 20479 20480 20481 20482 20483 20484 20485 20486 20487 20488 20489 20490 20491 20492 20493 20494 20495 20496 20497 20498 20499 20500 20501 20502 20503 20504 20505 20506 20507 20508 20509 20510 20511 20512 20513 20514 20515 20516 20517 20518 20519 20520 20521 20522 20523 20524 20525 20526 20527 20528 20529 20530 20531 20532 20533 20534 20535 20536 20537 20538 20539 20540 20541 20542 20543 20544 20545 20546 20547 20548 20549 20550 20551 20552 20553 20554 20555 20556 20557 20558 20559 20560 20561 20562 20563 20564 20565 20566 20567 20568 20569 20570 20571 20572 20573 20574 20575 20576 20577 20578 20579 20580 20581 20582 20583 20584 20585 20586 20587 20588 20589 20590 20591 20592 20593 20594 20595 20596 20597 20598 20599 20600 20601 20602 20603 20604 20605 20606 20607 20608 20609 20610 20611 20612 20613 20614 20615 20616 20617 20618 20619 20620 20621 20622 20623 20624 20625 20626 20627 20628 20629 20630 20631 20632 20633 20634 20635 20636 20637 20638 20639 20640 20641 20642 20643 20644 20645 20646 20647 20648 20649 20650 20651 20652 20653 20654 20655 20656 20657 20658 20659 20660 20661 20662 20663 20664 20665 20666 20667 20668 20669 20670 20671 20672 20673 20674 20675 20676 20677 20678 20679 20680 20681 20682 20683 20684 20685 20686 20687 20688 20689 20690 20691 20692 20693 20694 20695 20696 20697 20698 20699 20700 20701 20702 20703 20704 20705 20706 20707 20708 20709 20710 20711 20712 20713 20714 20715 20716 20717 20718 20719 20720 20721 20722 20723 20724 20725 20726 20727 20728 20729 20730 20731 20732 20733 20734 20735 20736 20737 20738 20739 20740 20741 20742 20743 20744 20745 20746 20747 20748 20749 20750 20751 20752 20753 20754 20755 20756 20757 20758 20759 20760 20761 20762 20763 20764 20765 20766 20767 20768 20769 20770 20771 20772 20773 20774 20775 20776 20777 20778 20779 20780 20781 20782 20783 20784 20785 20786 20787 20788 20789 20790 20791 20792 20793 20794 20795 20796 20797 20798 20799 20800 20801 20802 20803 20804 20805 20806 20807 20808 20809 20810 20811 20812 20813 20814 20815 20816 20817 20818 20819 20820 20821 20822 20823 20824 20825 20826 20827 20828 20829 20830 20831 20832 20833 20834 20835 20836 20837 20838 20839 20840 20841 20842 20843 20844 20845 20846 20847 20848 20849 20850 20851 20852 20853 20854 20855 20856 20857 20858 20859 20860 20861 20862 20863 20864 20865 20866 20867 20868 20869 20870 20871 20872 20873 20874 20875 20876 20877 20878 20879 20880 20881 20882 20883 20884 20885 20886 20887 20888 20889 20890 20891 20892 20893 20894 20895 20896 20897 20898 20899 20900 20901 20902 20903 20904 20905 20906 20907 20908 20909 20910 20911 20912 20913 20914 20915 20916 20917 20918 20919 20920 20921 20922 20923 20924 20925 20926 20927 20928 20929 20930 20931 20932 20933 20934 20935 20936 20937 20938 20939 20940 20941 20942 20943 20944 20945 20946 20947 20948 20949 20950 20951 20952 20953 20954 20955 20956 20957 20958 20959 20960 20961 20962 20963 20964 20965 20966 20967 20968 20969 20970 20971 20972 20973 20974 20975 20976 20977 20978 20979 20980 20981 20982 20983 20984 20985 20986 20987 20988 20989 20990 20991 20992 20993 20994 20995 20996 20997 20998 20999 21000 21001 21002 21003 21004 21005 21006 21007 21008 21009 21010 21011 21012 21013 21014 21015 21016 21017 21018 21019 21020 21021 21022 21023 21024 21025 21026 21027 21028 21029 21030 21031 21032 21033 21034 21035 21036 21037 21038 21039 21040 21041 21042 21043 21044 21045 21046 21047 21048 21049 21050 21051 21052 21053 21054 21055 21056 21057 21058 21059 21060 21061 21062 21063 21064 21065 21066 21067 21068 21069 21070 21071 21072 21073 21074 21075 21076 21077 21078 21079 21080 21081 21082 21083 21084 21085 21086 21087 21088 21089 21090 21091 21092 21093 21094 21095 21096 21097 21098 21099 21100 21101 21102 21103 21104 21105 21106 21107 21108 21109 21110 21111 21112 21113 21114 21115 21116 21117 21118 21119 21120 21121 21122 21123 21124 21125 21126 21127 21128 21129 21130 21131 21132 21133 21134 21135 21136 21137 21138 21139 21140 21141 21142 21143 21144 21145 21146 21147 21148 21149 21150 21151 21152 21153 21154 21155 21156 21157 21158 21159 21160 21161 21162 21163 21164 21165 21166 21167 21168 21169 21170 21171 21172 21173 21174 21175 21176 21177 21178 21179 21180 21181 21182 21183 21184 21185 21186 21187 21188 21189 21190 21191 21192 21193 21194 21195 21196 21197 21198 21199 21200 21201 21202 21203 21204 21205 21206 21207 21208 21209 21210 21211 21212 21213 21214 21215 21216 21217 21218 21219 21220 21221 21222 21223 21224 21225 21226 21227 21228 21229 21230 21231 21232 21233 21234 21235 21236 21237 21238 21239 21240 21241 21242 21243 21244 21245 21246 21247 21248 21249 21250 21251 21252 21253 21254 21255 21256 21257 21258 21259 21260 21261 21262 21263 21264 21265 21266 21267 21268 21269 21270 21271 21272 21273 21274 21275 21276 21277 21278 21279 21280 21281 21282 21283 21284 21285 21286 21287 21288 21289 21290 21291 21292 21293 21294 21295 21296 21297 21298 21299 21300 21301 21302 21303 21304 21305 21306 21307 21308 21309 21310 21311 21312 21313 21314 21315 21316 21317 21318 21319 21320 21321 21322 21323 21324 21325 21326 21327 21328 21329 21330 21331 21332 21333 21334 21335 21336 21337 21338 21339 21340 21341 21342 21343 21344 21345 21346 21347 21348 21349 21350 21351 21352 21353 21354 21355 21356 21357 21358 21359 21360 21361 21362 21363 21364 21365 21366 21367 21368 21369 21370 21371 21372 21373 21374 21375 21376 21377 21378 21379 21380 21381 21382 21383 21384 21385 21386 21387 21388 21389 21390 21391 21392 21393 21394 21395 21396 21397 21398 21399 21400 21401 21402 21403 21404 21405 21406 21407 21408 21409 21410 21411 21412 21413 21414 21415 21416 21417 21418 21419 21420 21421 21422 21423 21424 21425 21426 21427 21428 21429 21430 21431 21432 21433 21434 21435 21436 21437 21438 21439 21440 21441 21442 21443 21444 21445 21446 21447 21448 21449 21450 21451 21452 21453 21454 21455 21456 21457 21458 21459 21460 21461 21462 21463 21464 21465 21466 21467 21468 21469 21470 21471 21472 21473 21474 21475 21476 21477 21478 21479 21480 21481 21482 21483 21484 21485 21486 21487 21488 21489 21490 21491 21492 21493 21494 21495 21496 21497 21498 21499 21500 21501 21502 21503 21504 21505 21506 21507 21508 21509 21510 21511 21512 21513 21514 21515 21516 21517 21518 21519 21520 21521 21522 21523 21524 21525 21526 21527 21528 21529 21530 21531 21532 21533 21534 21535 21536 21537 21538 21539 21540 21541 21542 21543 21544 21545 21546 21547 21548 21549 21550 21551 21552 21553 21554 21555 21556 21557 21558 21559 21560 21561 21562 21563 21564 21565 21566 21567 21568 21569 21570 21571 21572 21573 21574 21575 21576 21577 21578 21579 21580 21581 21582 21583 21584 21585 21586 21587 21588 21589 21590 21591 21592 21593 21594 21595 21596 21597 21598 21599 21600 21601 21602 21603 21604 21605 21606 21607 21608 21609 21610 21611 21612 21613 21614 21615 21616 21617 21618 21619 21620 21621 21622 21623 21624 21625 21626 21627 21628 21629 21630 21631 21632 21633 21634 21635 21636 21637 21638 21639 21640 21641 21642 21643 21644 21645 21646 21647 21648 21649 21650 21651 21652 21653 21654 21655 21656 21657 21658 21659 21660 21661 21662 21663 21664 21665 21666 21667 21668 21669 21670 21671 21672 21673 21674 21675 21676 21677 21678 21679 21680 21681 21682 21683 21684 21685 21686 21687 21688 21689 21690 21691 21692 21693 21694 21695 21696 21697 21698 21699 21700 21701 21702 21703 21704 21705 21706 21707 21708 21709 21710 21711 21712 21713 21714 21715 21716 21717 21718 21719 21720 21721 21722 21723 21724 21725 21726 21727 21728 21729 21730 21731 21732 21733 21734 21735 21736 21737 21738 21739 21740 21741 21742 21743 21744 21745 21746 21747 21748 21749 21750 21751 21752 21753 21754 21755 21756 21757 21758 21759 21760 21761 21762 21763 21764 21765 21766 21767 21768 21769 21770 21771 21772 21773 21774 21775 21776 21777 21778 21779 21780 21781 21782 21783 21784 21785 21786 21787 21788 21789 21790 21791 21792 21793 21794 21795 21796 21797 21798 21799 21800 21801 21802 21803 21804 21805 21806 21807 21808 21809 21810 21811 21812 21813 21814 21815 21816 21817 21818 21819 21820 21821 21822 21823 21824 21825 21826 21827 21828 21829 21830 21831 21832 21833 21834 21835 21836 21837 21838 21839 21840 21841 21842 21843 21844 21845 21846 21847 21848 21849 21850 21851 21852 21853 21854 21855 21856 21857 21858 21859 21860 21861 21862 21863 21864 21865 21866 21867 21868 21869 21870 21871 21872 21873 21874 21875 21876 21877 21878 21879 21880 21881 21882 21883 21884 21885 21886 21887 21888 21889 21890 21891 21892 21893 21894 21895 21896 21897 21898 21899 21900 21901 21902 21903 21904 21905 21906 21907 21908 21909 21910 21911 21912 21913 21914 21915 21916 21917 21918 21919 21920 21921 21922 21923 21924 21925 21926 21927 21928 21929 21930 21931 21932 21933 21934 21935 21936 21937 21938 21939 21940 21941 21942 21943 21944 21945 21946 21947 21948 21949 21950 21951 21952 21953 21954 21955 21956 21957 21958 21959 21960 21961 21962 21963 21964 21965 21966 21967 21968 21969 21970 21971 21972 21973 21974 21975 21976 21977 21978 21979 21980 21981 21982 21983 21984 21985 21986 21987 21988 21989 21990 21991 21992 21993 21994 21995 21996 21997 21998 21999 22000 22001 22002 22003 22004 22005 22006 22007 22008 22009 22010 22011 22012 22013 22014 22015 22016 22017 22018 22019 22020 22021 22022 22023 22024 22025 22026 22027 22028 22029 22030 22031 22032 22033 22034 22035 22036 22037 22038 22039 22040 22041 22042 22043 22044 22045 22046 22047 22048 22049 22050 22051 22052 22053 22054 22055 22056 22057 22058 22059 22060 22061 22062 22063 22064 22065 22066 22067 22068 22069 22070 22071 22072 22073 22074 22075 22076 22077 22078 22079 22080 22081 22082 22083 22084 22085 22086 22087 22088 22089 22090 22091 22092 22093 22094 22095 22096 22097 22098 22099 22100 22101 22102 22103 22104 22105 22106 22107 22108 22109 22110 22111 22112 22113 22114 22115 22116 22117 22118 22119 22120 22121 22122 22123 22124 22125 22126 22127 22128 22129 22130 22131 22132 22133 22134 22135 22136 22137 22138 22139 22140 22141 22142 22143 22144 22145 22146 22147 22148 22149 22150 22151 22152 22153 22154 22155 22156 22157 22158 22159 22160 22161 22162 22163 22164 22165 22166 22167 22168 22169 22170 22171 22172 22173 22174 22175 22176 22177 22178 22179 22180 22181 22182 22183 22184 22185 22186 22187 22188 22189 22190 22191 22192 22193 22194 22195 22196 22197 22198 22199 22200 22201 22202 22203 22204 22205 22206 22207 22208 22209 22210 22211 22212 22213 22214 22215 22216 22217 22218 22219 22220 22221 22222 22223 22224 22225 22226 22227 22228 22229 22230 22231 22232 22233 22234 22235 22236 22237 22238 22239 22240 22241 22242 22243 22244 22245 22246 22247 22248 22249 22250 22251 22252 22253 22254 22255 22256 22257 22258 22259 22260 22261 22262 22263 22264 22265 22266 22267 22268 22269 22270 22271 22272 22273 22274 22275 22276 22277 22278 22279 22280 22281 22282 22283 22284 22285 22286 22287 22288 22289 22290 22291 22292 22293 22294 22295 22296 22297 22298 22299 22300 22301 22302 22303 22304 22305 22306 22307 22308 22309 22310 22311 22312 22313 22314 22315 22316 22317 22318 22319 22320 22321 22322 22323 22324 22325 22326 22327 22328 22329 22330 22331 22332 22333 22334 22335 22336 22337 22338 22339 22340 22341 22342 22343 22344 22345 22346 22347 22348 22349 22350 22351 22352 22353 22354 22355 22356 22357 22358 22359 22360 22361 22362 22363 22364 22365 22366 22367 22368 22369 22370 22371 22372 22373 22374 22375 22376 22377 22378 22379 22380 22381 22382 22383 22384 22385 22386 22387 22388 22389 22390 22391 22392 22393 22394 22395 22396 22397 22398 22399 22400 22401 22402 22403 22404 22405 22406 22407 22408 22409 22410 22411 22412 22413 22414 22415 22416 22417 22418 22419 22420 22421 22422 22423 22424 22425 22426 22427 22428 22429 22430 22431 22432 22433 22434 22435 22436 22437 22438 22439 22440 22441 22442 22443 22444 22445 22446 22447 22448 22449 22450 22451 22452 22453 22454 22455 22456 22457 22458 22459 22460 22461 22462 22463 22464 22465 22466 22467 22468 22469 22470 22471 22472 22473 22474 22475 22476 22477 22478 22479 22480 22481 22482 22483 22484 22485 22486 22487 22488 22489 22490 22491 22492 22493 22494 22495 22496 22497 22498 22499 22500 22501 22502 22503 22504 22505 22506 22507 22508 22509 22510 22511 22512 22513 22514 22515 22516 22517 22518 22519 22520 22521 22522 22523 22524 22525 22526 22527 22528 22529 22530 22531 22532 22533 22534 22535 22536 22537 22538 22539 22540 22541 22542 22543 22544 22545 22546 22547 22548 22549 22550 22551 22552 22553 22554 22555 22556 22557 22558 22559 22560 22561 22562 22563 22564 22565 22566 22567 22568 22569 22570 22571 22572 22573 22574 22575 22576 22577 22578 22579 22580 22581 22582 22583 22584 22585 22586 22587 22588 22589 22590 22591 22592 22593 22594 22595 22596 22597 22598 22599 22600 22601 22602 22603 22604 22605 22606 22607 22608 22609 22610 22611 22612 22613 22614 22615 22616 22617 22618 22619 22620 22621 22622 22623 22624 22625 22626 22627 22628 22629 22630 22631 22632 22633 22634 22635 22636 22637 22638 22639 22640 22641 22642 22643 22644 22645 22646 22647 22648 22649 22650 22651 22652 22653 22654 22655 22656 22657 22658 22659 22660 22661 22662 22663 22664 22665 22666 22667 22668 22669 22670 22671 22672 22673 22674 22675 22676 22677 22678 22679 22680 22681 22682 22683 22684 22685 22686 22687 22688 22689 22690 22691 22692 22693 22694 22695 22696 22697 22698 22699 22700 22701 22702 22703 22704 22705 22706 22707 22708 22709 22710 22711 22712 22713 22714 22715 22716 22717 22718 22719 22720 22721 22722 22723 22724 22725 22726 22727 22728 22729 22730 22731 22732 22733 22734 22735 22736 22737 22738 22739 22740 22741 22742 22743 22744 22745 22746 22747 22748 22749 22750 22751 22752 22753 22754 22755 22756 22757 22758 22759 22760 22761 22762 22763 22764 22765 22766 22767 22768 22769 22770 22771 22772 22773 22774 22775 22776 22777 22778 22779 22780 22781 22782 22783 22784 22785 22786 22787 22788 22789 22790 22791 22792 22793 22794 22795 22796 22797 22798 22799 22800 22801 22802 22803 22804 22805 22806 22807 22808 22809 22810 22811 22812 22813 22814 22815 22816 22817 22818 22819 22820 22821 22822 22823 22824 22825 22826 22827 22828 22829 22830 22831 22832 22833 22834 22835 22836 22837 22838 22839 22840 22841 22842 22843 22844 22845 22846 22847 22848 22849 22850 22851 22852 22853 22854 22855 22856 22857 22858 22859 22860 22861 22862 22863 22864 22865 22866 22867 22868 22869 22870 22871 22872 22873 22874 22875 22876 22877 22878 22879 22880 22881 22882 22883 22884 22885 22886 22887 22888 22889 22890 22891 22892 22893 22894 22895 22896 22897 22898 22899 22900 22901 22902 22903 22904 22905 22906 22907 22908 22909 22910 22911 22912 22913 22914 22915 22916 22917 22918 22919 22920 22921 22922 22923 22924 22925 22926 22927 22928 22929 22930 22931 22932 22933 22934 22935 22936 22937 22938 22939 22940 22941 22942 22943 22944 22945 22946 22947 22948 22949 22950 22951 22952 22953 22954 22955 22956 22957 22958 22959 22960 22961 22962 22963 22964 22965 22966 22967 22968 22969 22970 22971 22972 22973 22974 22975 22976 22977 22978 22979 22980 22981 22982 22983 22984 22985 22986 22987 22988 22989 22990 22991 22992 22993 22994 22995 22996 22997 22998 22999 23000 23001 23002 23003 23004 23005 23006 23007 23008 23009 23010 23011 23012 23013 23014 23015 23016 23017 23018 23019 23020 23021 23022 23023 23024 23025 23026 23027 23028 23029 23030 23031 23032 23033 23034 23035 23036 23037 23038 23039 23040 23041 23042 23043 23044 23045 23046 23047 23048 23049 23050 23051 23052 23053 23054 23055 23056 23057 23058 23059 23060 23061 23062 23063 23064 23065 23066 23067 23068 23069 23070 23071 23072 23073 23074 23075 23076 23077 23078 23079 23080 23081 23082 23083 23084 23085 23086 23087 23088 23089 23090 23091 23092 23093 23094 23095 23096 23097 23098 23099 23100 23101 23102 23103 23104 23105 23106 23107 23108 23109 23110 23111 23112 23113 23114 23115 23116 23117 23118 23119 23120 23121 23122 23123 23124 23125 23126 23127 23128 23129 23130 23131 23132 23133 23134 23135 23136 23137 23138 23139 23140 23141 23142 23143 23144 23145 23146 23147 23148 23149 23150 23151 23152 23153 23154 23155 23156 23157 23158 23159 23160 23161 23162 23163 23164 23165 23166 23167 23168 23169 23170 23171 23172 23173 23174 23175 23176 23177 23178 23179 23180 23181 23182 23183 23184 23185 23186 23187 23188 23189 23190 23191 23192 23193 23194 23195 23196 23197 23198 23199 23200 23201 23202 23203 23204 23205 23206 23207 23208 23209 23210 23211 23212 23213 23214 23215 23216 23217 23218 23219 23220 23221 23222 23223 23224 23225 23226 23227 23228 23229 23230 23231 23232 23233 23234 23235 23236 23237 23238 23239 23240 23241 23242 23243 23244 23245 23246 23247 23248 23249 23250 23251 23252 23253 23254 23255 23256 23257 23258 23259 23260 23261 23262 23263 23264 23265 23266 23267 23268 23269 23270 23271 23272 23273 23274 23275 23276 23277 23278 23279 23280 23281 23282 23283 23284 23285 23286 23287 23288 23289 23290 23291 23292 23293 23294 23295 23296 23297 23298 23299 23300 23301 23302 23303 23304 23305 23306 23307 23308 23309 23310 23311 23312 23313 23314 23315 23316 23317 23318 23319 23320 23321 23322 23323 23324 23325 23326 23327 23328 23329 23330 23331 23332 23333 23334 23335 23336 23337 23338 23339 23340 23341 23342 23343 23344 23345 23346 23347 23348 23349 23350 23351 23352 23353 23354 23355 23356 23357 23358 23359 23360 23361 23362 23363 23364 23365 23366 23367 23368 23369 23370 23371 23372 23373 23374 23375 23376 23377 23378 23379 23380 23381 23382 23383 23384 23385 23386 23387 23388 23389 23390 23391 23392 23393 23394 23395 23396 23397 23398 23399 23400 23401 23402 23403 23404 23405 23406 23407 23408 23409 23410 23411 23412 23413 23414 23415 23416 23417 23418 23419 23420 23421 23422 23423 23424 23425 23426 23427 23428 23429 23430 23431 23432 23433 23434 23435 23436 23437 23438 23439 23440 23441 23442 23443 23444 23445 23446 23447 23448 23449 23450 23451 23452 23453 23454 23455 23456 23457 23458 23459 23460 23461 23462 23463 23464 23465 23466 23467 23468 23469 23470 23471 23472 23473 23474 23475 23476 23477 23478 23479 23480 23481 23482 23483 23484 23485 23486 23487 23488 23489 23490 23491 23492 23493 23494 23495 23496 23497 23498 23499 23500 23501 23502 23503 23504 23505 23506 23507 23508 23509 23510 23511 23512 23513 23514 23515 23516 23517 23518 23519 23520 23521 23522 23523 23524 23525 23526 23527 23528 23529 23530 23531 23532 23533 23534 23535 23536 23537 23538 23539 23540 23541 23542 23543 23544 23545 23546 23547 23548 23549 23550 23551 23552 23553 23554 23555 23556 23557 23558 23559 23560 23561 23562 23563 23564 23565 23566 23567 23568 23569 23570 23571 23572 23573 23574 23575 23576 23577 23578 23579 23580 23581 23582 23583 23584 23585 23586 23587 23588 23589 23590 23591 23592 23593 23594 23595 23596 23597 23598 23599 23600 23601 23602 23603 23604 23605 23606 23607 23608 23609 23610 23611 23612 23613 23614 23615 23616 23617 23618 23619 23620 23621 23622 23623 23624 23625 23626 23627 23628 23629 23630 23631 23632 23633 23634 23635 23636 23637 23638 23639 23640 23641 23642 23643 23644 23645 23646 23647 23648 23649 23650 23651 23652 23653 23654 23655 23656 23657 23658 23659 23660 23661 23662 23663 23664 23665 23666 23667 23668 23669 23670 23671 23672 23673 23674 23675 23676 23677 23678 23679 23680 23681 23682 23683 23684 23685 23686 23687 23688 23689 23690 23691 23692 23693 23694 23695 23696 23697 23698 23699 23700 23701 23702 23703 23704 23705 23706 23707 23708 23709 23710 23711 23712 23713 23714 23715 23716 23717 23718 23719 23720 23721 23722 23723 23724 23725 23726 23727 23728 23729 23730 23731 23732 23733 23734 23735 23736 23737 23738 23739 23740 23741 23742 23743 23744 23745 23746 23747 23748 23749 23750 23751 23752 23753 23754 23755 23756 23757 23758 23759 23760 23761 23762 23763 23764 23765 23766 23767 23768 23769 23770 23771 23772 23773 23774 23775 23776 23777 23778 23779 23780 23781 23782 23783 23784 23785 23786 23787 23788 23789 23790 23791 23792 23793 23794 23795 23796 23797 23798 23799 23800 23801 23802 23803 23804 23805 23806 23807 23808 23809 23810 23811 23812 23813 23814 23815 23816 23817 23818 23819 23820 23821 23822 23823 23824 23825 23826 23827 23828 23829 23830 23831 23832 23833 23834 23835 23836 23837 23838 23839 23840 23841 23842 23843 23844 23845 23846 23847 23848 23849 23850 23851 23852 23853 23854 23855 23856 23857 23858 23859 23860 23861 23862 23863 23864 23865 23866 23867 23868 23869 23870 23871 23872 23873 23874 23875 23876 23877 23878 23879 23880 23881 23882 23883 23884 23885 23886 23887 23888 23889 23890 23891 23892 23893 23894 23895 23896 23897 23898 23899 23900 23901 23902 23903 23904 23905 23906 23907 23908 23909 23910 23911 23912 23913 23914 23915 23916 23917 23918 23919 23920 23921 23922 23923 23924 23925 23926 23927 23928 23929 23930 23931 23932 23933 23934 23935 23936 23937 23938 23939 23940 23941 23942 23943 23944 23945 23946 23947 23948 23949 23950 23951 23952 23953 23954 23955 23956 23957 23958 23959 23960 23961 23962 23963 23964 23965 23966 23967 23968 23969 23970 23971 23972 23973 23974 23975 23976 23977 23978 23979 23980 23981 23982 23983 23984 23985 23986 23987 23988 23989 23990 23991 23992 23993 23994 23995 23996 23997 23998 23999 24000 24001 24002 24003 24004 24005 24006 24007 24008 24009 24010 24011 24012 24013 24014 24015 24016 24017 24018 24019 24020 24021 24022 24023 24024 24025 24026 24027 24028 24029 24030 24031 24032 24033 24034 24035 24036 24037 24038 24039 24040 24041 24042 24043 24044 24045 24046 24047 24048 24049 24050 24051 24052 24053 24054 24055 24056 24057 24058 24059 24060 24061 24062 24063 24064 24065 24066 24067 24068 24069 24070 24071 24072 24073 24074 24075 24076 24077 24078 24079 24080 24081 24082 24083 24084 24085 24086 24087 24088 24089 24090 24091 24092 24093 24094 24095 24096 24097 24098 24099 24100 24101 24102 24103 24104 24105 24106 24107 24108 24109 24110 24111 24112 24113 24114 24115 24116 24117 24118 24119 24120 24121 24122 24123 24124 24125 24126 24127 24128 24129 24130 24131 24132 24133 24134 24135 24136 24137 24138 24139 24140 24141 24142 24143 24144 24145 24146 24147 24148 24149 24150 24151 24152 24153 24154 24155 24156 24157 24158 24159 24160 24161 24162 24163 24164 24165 24166 24167 24168 24169 24170 24171 24172 24173 24174 24175 24176 24177 24178 24179 24180 24181 24182 24183 24184 24185 24186 24187 24188 24189 24190 24191 24192 24193 24194 24195 24196 24197 24198 24199 24200 24201 24202 24203 24204 24205 24206 24207 24208 24209 24210 24211 24212 24213 24214 24215 24216 24217 24218 24219 24220 24221 24222 24223 24224 24225 24226 24227 24228 24229 24230 24231 24232 24233 24234 24235 24236 24237 24238 24239 24240 24241 24242 24243 24244 24245 24246 24247 24248 24249 24250 24251 24252 24253 24254 24255 24256 24257 24258 24259 24260 24261 24262 24263 24264 24265 24266 24267 24268 24269 24270 24271 24272 24273 24274 24275 24276 24277 24278 24279 24280 24281 24282 24283 24284 24285 24286 24287 24288 24289 24290 24291 24292 24293 24294 24295 24296 24297 24298 24299 24300 24301 24302 24303 24304 24305 24306 24307 24308 24309 24310 24311 24312 24313 24314 24315 24316 24317 24318 24319 24320 24321 24322 24323 24324 24325 24326 24327 24328 24329 24330 24331 24332 24333 24334 24335 24336 24337 24338 24339 24340 24341 24342 24343 24344 24345 24346 24347 24348 24349 24350 24351 24352 24353 24354 24355 24356 24357 24358 24359 24360 24361 24362 24363 24364 24365 24366 24367 24368 24369 24370 24371 24372 24373 24374 24375 24376 24377 24378 24379 24380 24381 24382 24383 24384 24385 24386 24387 24388 24389 24390 24391 24392 24393 24394 24395 24396 24397 24398 24399 24400 24401 24402 24403 24404 24405 24406 24407 24408 24409 24410 24411 24412 24413 24414 24415 24416 24417 24418 24419 24420 24421 24422 24423 24424 24425 24426 24427 24428 24429 24430 24431 24432 24433 24434 24435 24436 24437 24438 24439 24440 24441 24442 24443 24444 24445 24446 24447 24448 24449 24450 24451 24452 24453 24454 24455 24456 24457 24458 24459 24460 24461 24462 24463 24464 24465 24466 24467 24468 24469 24470 24471 24472 24473 24474 24475 24476 24477 24478 24479 24480 24481 24482 24483 24484 24485 24486 24487 24488 24489 24490 24491 24492 24493 24494 24495 24496 24497 24498 24499 24500 24501 24502 24503 24504 24505 24506 24507 24508 24509 24510 24511 24512 24513 24514 24515 24516 24517 24518 24519 24520 24521 24522 24523 24524 24525 24526 24527 24528 24529 24530 24531 24532 24533 24534 24535 24536 24537 24538 24539 24540 24541 24542 24543 24544 24545 24546 24547 24548 24549 24550 24551 24552 24553 24554 24555 24556 24557 24558 24559 24560 24561 24562 24563 24564 24565 24566 24567 24568 24569 24570 24571 24572 24573 24574 24575 24576 24577 24578 24579 24580 24581 24582 24583 24584 24585 24586 24587 24588 24589 24590 24591 24592 24593 24594 24595 24596 24597 24598 24599 24600 24601 24602 24603 24604 24605 24606 24607 24608 24609 24610 24611 24612 24613 24614 24615 24616 24617 24618 24619 24620 24621 24622 24623 24624 24625 24626 24627 24628 24629 24630 24631 24632 24633 24634 24635 24636 24637 24638 24639 24640 24641 24642 24643 24644 24645 24646 24647 24648 24649 24650 24651 24652 24653 24654 24655 24656 24657 24658 24659 24660 24661 24662 24663 24664 24665 24666 24667 24668 24669 24670 24671 24672 24673 24674 24675 24676 24677 24678 24679 24680 24681 24682 24683 24684 24685 24686 24687 24688 24689 24690 24691 24692 24693 24694 24695 24696 24697 24698 24699 24700 24701 24702 24703 24704 24705 24706 24707 24708 24709 24710 24711 24712 24713 24714 24715 24716 24717 24718 24719 24720 24721 24722 24723 24724 24725 24726 24727 24728 24729 24730 24731 24732 24733 24734 24735 24736 24737 24738 24739 24740 24741 24742 24743 24744 24745 24746 24747 24748 24749 24750 24751 24752 24753 24754 24755 24756 24757 24758 24759 24760 24761 24762 24763 24764 24765 24766 24767 24768 24769 24770 24771 24772 24773 24774 24775 24776 24777 24778 24779 24780 24781 24782 24783 24784 24785 24786 24787 24788 24789 24790 24791 24792 24793 24794 24795 24796 24797 24798 24799 24800 24801 24802 24803 24804 24805 24806 24807 24808 24809 24810 24811 24812 24813 24814 24815 24816 24817 24818 24819 24820 24821 24822 24823 24824 24825 24826 24827 24828 24829 24830 24831 24832 24833 24834 24835 24836 24837 24838 24839 24840 24841 24842 24843 24844 24845 24846 24847 24848 24849 24850 24851 24852 24853 24854 24855 24856 24857 24858 24859 24860 24861 24862 24863 24864 24865 24866 24867 24868 24869 24870 24871 24872 24873 24874 24875 24876 24877 24878 24879 24880 24881 24882 24883 24884 24885 24886 24887 24888 24889 24890 24891 24892 24893 24894 24895 24896 24897 24898 24899 24900 24901 24902 24903 24904 24905 24906 24907 24908 24909 24910 24911 24912 24913 24914 24915 24916 24917 24918 24919 24920 24921 24922 24923 24924 24925 24926 24927 24928 24929 24930 24931 24932 24933 24934 24935 24936 24937 24938 24939 24940 24941 24942 24943 24944 24945 24946 24947 24948 24949 24950 24951 24952 24953 24954 24955 24956 24957 24958 24959 24960 24961 24962 24963 24964 24965 24966 24967 24968 24969 24970 24971 24972 24973 24974 24975 24976 24977 24978 24979 24980 24981 24982 24983 24984 24985 24986 24987 24988 24989 24990 24991 24992 24993 24994 24995 24996 24997 24998 24999 25000 25001 25002 25003 25004 25005 25006 25007 25008 25009 25010 25011 25012 25013 25014 25015 25016 25017 25018 25019 25020 25021 25022 25023 25024 25025 25026 25027 25028 25029 25030 25031 25032 25033 25034 25035 25036 25037 25038 25039 25040 25041 25042 25043 25044 25045 25046 25047 25048 25049 25050 25051 25052 25053 25054 25055 25056 25057 25058 25059 25060 25061 25062 25063 25064 25065 25066 25067 25068 25069 25070 25071 25072 25073 25074 25075 25076 25077 25078 25079 25080 25081 25082 25083 25084 25085 25086 25087 25088 25089 25090 25091 25092 25093 25094 25095 25096 25097 25098 25099 25100 25101 25102 25103 25104 25105 25106 25107 25108 25109 25110 25111 25112 25113 25114 25115 25116 25117 25118 25119 25120 25121 25122 25123 25124 25125 25126 25127 25128 25129 25130 25131 25132 25133 25134 25135 25136 25137 25138 25139 25140 25141 25142 25143 25144 25145 25146 25147 25148 25149 25150 25151 25152 25153 25154 25155 25156 25157 25158 25159 25160 25161 25162 25163 25164 25165 25166 25167 25168 25169 25170 25171 25172 25173 25174 25175 25176 25177 25178 25179 25180 25181 25182 25183 25184 25185 25186 25187 25188 25189 25190 25191 25192 25193 25194 25195 25196 25197 25198 25199 25200 25201 25202 25203 25204 25205 25206 25207 25208 25209 25210 25211 25212 25213 25214 25215 25216 25217 25218 25219 25220 25221 25222 25223 25224 25225 25226 25227 25228 25229 25230 25231 25232 25233 25234 25235 25236 25237 25238 25239 25240 25241 25242 25243 25244 25245 25246 25247 25248 25249 25250 25251 25252 25253 25254 25255 25256 25257 25258 25259 25260 25261 25262 25263 25264 25265 25266 25267 25268 25269 25270 25271 25272 25273 25274 25275 25276 25277 25278 25279 25280 25281 25282 25283 25284 25285 25286 25287 25288 25289 25290 25291 25292 25293 25294 25295 25296 25297 25298 25299 25300 25301 25302 25303 25304 25305 25306 25307 25308 25309 25310 25311 25312 25313 25314 25315 25316 25317 25318 25319 25320 25321 25322 25323 25324 25325 25326 25327 25328 25329 25330 25331 25332 25333 25334 25335 25336 25337 25338 25339 25340 25341 25342 25343 25344 25345 25346 25347 25348 25349 25350 25351 25352 25353 25354 25355 25356 25357 25358 25359 25360 25361 25362 25363 25364 25365 25366 25367 25368 25369 25370 25371 25372 25373 25374 25375 25376 25377 25378 25379 25380 25381 25382 25383 25384 25385 25386 25387 25388 25389 25390 25391 25392 25393 25394 25395 25396 25397 25398 25399 25400 25401 25402 25403 25404 25405 25406 25407 25408 25409 25410 25411 25412 25413 25414 25415 25416 25417 25418 25419 25420 25421 25422 25423 25424 25425 25426 25427 25428 25429 25430 25431 25432 25433 25434 25435 25436 25437 25438 25439 25440 25441 25442 25443 25444 25445 25446 25447 25448 25449 25450 25451 25452 25453 25454 25455 25456 25457 25458 25459 25460 25461 25462 25463 25464 25465 25466 25467 25468 25469 25470 25471 25472 25473 25474 25475 25476 25477 25478 25479 25480 25481 25482 25483 25484 25485 25486 25487 25488 25489 25490 25491 25492 25493 25494 25495 25496 25497 25498 25499 25500 25501 25502 25503 25504 25505 25506 25507 25508 25509 25510 25511 25512 25513 25514 25515 25516 25517 25518 25519 25520 25521 25522 25523 25524 25525 25526 25527 25528 25529 25530 25531 25532 25533 25534 25535 25536 25537 25538 25539 25540 25541 25542 25543 25544 25545 25546 25547 25548 25549 25550 25551 25552 25553 25554 25555 25556 25557 25558 25559 25560 25561 25562 25563 25564 25565 25566 25567 25568 25569 25570 25571 25572 25573 25574 25575 25576 25577 25578 25579 25580 25581 25582 25583 25584 25585 25586 25587 25588 25589 25590 25591 25592 25593 25594 25595 25596 25597 25598 25599 25600 25601 25602 25603 25604 25605 25606 25607 25608 25609 25610 25611 25612 25613 25614 25615 25616 25617 25618 25619 25620 25621 25622 25623 25624 25625 25626 25627 25628 25629 25630 25631 25632 25633 25634 25635 25636 25637 25638 25639 25640 25641 25642 25643 25644 25645 25646 25647 25648 25649 25650 25651 25652 25653 25654 25655 25656 25657 25658 25659 25660 25661 25662 25663 25664 25665 25666 25667 25668 25669 25670 25671 25672 25673 25674 25675 25676 25677 25678 25679 25680 25681 25682 25683 25684 25685 25686 25687 25688 25689 25690 25691 25692 25693 25694 25695 25696 25697 25698 25699 25700 25701 25702 25703 25704 25705 25706 25707 25708 25709 25710 25711 25712 25713 25714 25715 25716 25717 25718 25719 25720 25721 25722 25723 25724 25725 25726 25727 25728 25729 25730 25731 25732 25733 25734 25735 25736 25737 25738 25739 25740 25741 25742 25743 25744 25745 25746 25747 25748 25749 25750 25751 25752 25753 25754 25755 25756 25757 25758 25759 25760 25761 25762 25763 25764 25765 25766 25767 25768 25769 25770 25771 25772 25773 25774 25775 25776 25777 25778 25779 25780 25781 25782 25783 25784 25785 25786 25787 25788 25789 25790 25791 25792 25793 25794 25795 25796 25797 25798 25799 25800 25801 25802 25803 25804 25805 25806 25807 25808 25809 25810 25811 25812 25813 25814 25815 25816 25817 25818 25819 25820 25821 25822 25823 25824 25825 25826 25827 25828 25829 25830 25831 25832 25833 25834 25835 25836 25837 25838 25839 25840 25841 25842 25843 25844 25845 25846 25847 25848 25849 25850 25851 25852 25853 25854 25855 25856 25857 25858 25859 25860 25861 25862 25863 25864 25865 25866 25867 25868 25869 25870 25871 25872 25873 25874 25875 25876 25877 25878 25879 25880 25881 25882 25883 25884 25885 25886 25887 25888 25889 25890 25891 25892 25893 25894 25895 25896 25897 25898 25899 25900 25901 25902 25903 25904 25905 25906 25907 25908 25909 25910 25911 25912 25913 25914 25915 25916 25917 25918 25919 25920 25921 25922 25923 25924 25925 25926 25927 25928 25929 25930 25931 25932 25933 25934 25935 25936 25937 25938 25939 25940 25941 25942 25943 25944 25945 25946 25947 25948 25949 25950 25951 25952 25953 25954 25955 25956 25957 25958 25959 25960 25961 25962 25963 25964 25965 25966 25967 25968 25969 25970 25971 25972 25973 25974 25975 25976 25977 25978 25979 25980 25981 25982 25983 25984 25985 25986 25987 25988 25989 25990 25991 25992 25993 25994 25995 25996 25997 25998 25999 26000 26001 26002 26003 26004 26005 26006 26007 26008 26009 26010 26011 26012 26013 26014 26015 26016 26017 26018 26019 26020 26021 26022 26023 26024 26025 26026 26027 26028 26029 26030 26031 26032 26033 26034 26035 26036 26037 26038 26039 26040 26041 26042 26043 26044 26045 26046 26047 26048 26049 26050 26051 26052 26053 26054 26055 26056 26057 26058 26059 26060 26061 26062 26063 26064 26065 26066 26067 26068 26069 26070 26071 26072 26073 26074 26075 26076 26077 26078 26079 26080 26081 26082 26083 26084 26085 26086 26087 26088 26089 26090 26091 26092 26093 26094 26095 26096 26097 26098 26099 26100 26101 26102 26103 26104 26105 26106 26107 26108 26109 26110 26111 26112 26113 26114 26115 26116 26117 26118 26119 26120 26121 26122 26123 26124 26125 26126 26127 26128 26129 26130 26131 26132 26133 26134 26135 26136 26137 26138 26139 26140 26141 26142 26143 26144 26145 26146 26147 26148 26149 26150 26151 26152 26153 26154 26155 26156 26157 26158 26159 26160 26161 26162 26163 26164 26165 26166 26167 26168 26169 26170 26171 26172 26173 26174 26175 26176 26177 26178 26179 26180 26181 26182 26183 26184 26185 26186 26187 26188 26189 26190 26191 26192 26193 26194 26195 26196 26197 26198 26199 26200 26201 26202 26203 26204 26205 26206 26207 26208 26209 26210 26211 26212 26213 26214 26215 26216 26217 26218 26219 26220 26221 26222 26223 26224 26225 26226 26227 26228 26229 26230 26231 26232 26233 26234 26235 26236 26237 26238 26239 26240 26241 26242 26243 26244 26245 26246 26247 26248 26249 26250 26251 26252 26253 26254 26255 26256 26257 26258 26259 26260 26261 26262 26263 26264 26265 26266 26267 26268 26269 26270 26271 26272 26273 26274 26275 26276 26277 26278 26279 26280 26281 26282 26283 26284 26285 26286 26287 26288 26289 26290 26291 26292 26293 26294 26295 26296 26297 26298 26299 26300 26301 26302 26303 26304 26305 26306 26307 26308 26309 26310 26311 26312 26313 26314 26315 26316 26317 26318 26319 26320 26321 26322 26323 26324 26325 26326 26327 26328 26329 26330 26331 26332 26333 26334 26335 26336 26337 26338 26339 26340 26341 26342 26343 26344 26345 26346 26347 26348 26349 26350 26351 26352 26353 26354 26355 26356 26357 26358 26359 26360 26361 26362 26363 26364 26365 26366 26367 26368 26369 26370 26371 26372 26373 26374 26375 26376 26377 26378 26379 26380 26381 26382 26383 26384 26385 26386 26387 26388 26389 26390 26391 26392 26393 26394 26395 26396 26397 26398 26399 26400 26401 26402 26403 26404 26405 26406 26407 26408 26409 26410 26411 26412 26413 26414 26415 26416 26417 26418 26419 26420 26421 26422 26423 26424 26425 26426 26427 26428 26429 26430 26431 26432 26433 26434 26435 26436 26437 26438 26439 26440 26441 26442 26443 26444 26445 26446 26447 26448 26449 26450 26451 26452 26453 26454 26455 26456 26457 26458 26459 26460 26461 26462 26463 26464 26465 26466 26467 26468 26469 26470 26471 26472 26473 26474 26475 26476 26477 26478 26479 26480 26481 26482 26483 26484 26485 26486 26487 26488 26489 26490 26491 26492 26493 26494 26495 26496 26497 26498 26499 26500 26501 26502 26503 26504 26505 26506 26507 26508 26509 26510 26511 26512 26513 26514 26515 26516 26517 26518 26519 26520 26521 26522 26523 26524 26525 26526 26527 26528 26529 26530 26531 26532 26533 26534 26535 26536 26537 26538 26539 26540 26541 26542 26543 26544 26545 26546 26547 26548 26549 26550 26551 26552 26553 26554 26555 26556 26557 26558 26559 26560 26561 26562 26563 26564 26565 26566 26567 26568 26569 26570 26571 26572 26573 26574 26575 26576 26577 26578 26579 26580 26581 26582 26583 26584 26585 26586 26587 26588 26589 26590 26591 26592 26593 26594 26595 26596 26597 26598 26599 26600 26601 26602 26603 26604 26605 26606 26607 26608 26609 26610 26611 26612 26613 26614 26615 26616 26617 26618 26619 26620 26621 26622 26623 26624 26625 26626 26627 26628 26629 26630 26631 26632 26633 26634 26635 26636 26637 26638 26639 26640 26641 26642 26643 26644 26645 26646 26647 26648 26649 26650 26651 26652 26653 26654 26655 26656 26657 26658 26659 26660 26661 26662 26663 26664 26665 26666 26667 26668 26669 26670 26671 26672 26673 26674 26675 26676 26677 26678 26679 26680 26681 26682 26683 26684 26685 26686 26687 26688 26689 26690 26691 26692 26693 26694 26695 26696 26697 26698 26699 26700 26701 26702 26703 26704 26705 26706 26707 26708 26709 26710 26711 26712 26713 26714 26715 26716 26717 26718 26719 26720 26721 26722 26723 26724 26725 26726 26727 26728 26729 26730 26731 26732 26733 26734 26735 26736 26737 26738 26739 26740 26741 26742 26743 26744 26745 26746 26747 26748 26749 26750 26751 26752 26753 26754 26755 26756 26757 26758 26759 26760 26761 26762 26763 26764 26765 26766 26767 26768 26769 26770 26771 26772 26773 26774 26775 26776 26777 26778 26779 26780 26781 26782 26783 26784 26785 26786 26787 26788 26789 26790 26791 26792 26793 26794 26795 26796 26797 26798 26799 26800 26801 26802 26803 26804 26805 26806 26807 26808 26809 26810 26811 26812 26813 26814 26815 26816 26817 26818 26819 26820 26821 26822 26823 26824 26825 26826 26827 26828 26829 26830 26831 26832 26833 26834 26835 26836 26837 26838 26839 26840 26841 26842 26843 26844 26845 26846 26847 26848 26849 26850 26851 26852 26853 26854 26855 26856 26857 26858 26859 26860 26861 26862 26863 26864 26865 26866 26867 26868 26869 26870 26871 26872 26873 26874 26875 26876 26877 26878 26879 26880 26881 26882 26883 26884 26885 26886 26887 26888 26889 26890 26891 26892 26893 26894 26895 26896 26897 26898 26899 26900 26901 26902 26903 26904 26905 26906 26907 26908 26909 26910 26911 26912 26913 26914 26915 26916 26917 26918 26919 26920 26921 26922 26923 26924 26925 26926 26927 26928 26929 26930 26931 26932 26933 26934 26935 26936 26937 26938 26939 26940 26941 26942 26943 26944 26945 26946 26947 26948 26949 26950 26951 26952 26953 26954 26955 26956 26957 26958 26959 26960 26961 26962 26963 26964 26965 26966 26967 26968 26969 26970 26971 26972 26973 26974 26975 26976 26977 26978 26979 26980 26981 26982 26983 26984 26985 26986 26987 26988 26989 26990 26991 26992 26993 26994 26995 26996 26997 26998 26999 27000 27001 27002 27003 27004 27005 27006 27007 27008 27009 27010 27011 27012 27013 27014 27015 27016 27017 27018 27019 27020 27021 27022 27023 27024 27025 27026 27027 27028 27029 27030 27031 27032 27033 27034 27035 27036 27037 27038 27039 27040 27041 27042 27043 27044 27045 27046 27047 27048 27049 27050 27051 27052 27053 27054 27055 27056 27057 27058 27059 27060 27061 27062 27063 27064 27065 27066 27067 27068 27069 27070 27071 27072 27073 27074 27075 27076 27077 27078 27079 27080 27081 27082 27083 27084 27085 27086 27087 27088 27089 27090 27091 27092 27093 27094 27095 27096 27097 27098 27099 27100 27101 27102 27103 27104 27105 27106 27107 27108 27109 27110 27111 27112 27113 27114 27115 27116 27117 27118 27119 27120 27121 27122 27123 27124 27125 27126 27127 27128 27129 27130 27131 27132 27133 27134 27135 27136 27137 27138 27139 27140 27141 27142 27143 27144 27145 27146 27147 27148 27149 27150 27151 27152 27153 27154 27155 27156 27157 27158 27159 27160 27161 27162 27163 27164 27165 27166 27167 27168 27169 27170 27171 27172 27173 27174 27175 27176 27177 27178 27179 27180 27181 27182 27183 27184 27185 27186 27187 27188 27189 27190 27191 27192 27193 27194 27195 27196 27197 27198 27199 27200 27201 27202 27203 27204 27205 27206 27207 27208 27209 27210 27211 27212 27213 27214 27215 27216 27217 27218 27219 27220 27221 27222 27223 27224 27225 27226 27227 27228 27229 27230 27231 27232 27233 27234 27235 27236 27237 27238 27239 27240 27241 27242 27243 27244 27245 27246 27247 27248 27249 27250 27251 27252 27253 27254 27255 27256 27257 27258 27259 27260 27261 27262 27263 27264 27265 27266 27267 27268 27269 27270 27271 27272 27273 27274 27275 27276 27277 27278 27279 27280 27281 27282 27283 27284 27285 27286 27287 27288 27289 27290 27291 27292 27293 27294 27295 27296 27297 27298 27299 27300 27301 27302 27303 27304 27305 27306 27307 27308 27309 27310 27311 27312 27313 27314 27315 27316 27317 27318 27319 27320 27321 27322 27323 27324 27325 27326 27327 27328 27329 27330 27331 27332 27333 27334 27335 27336 27337 27338 27339 27340 27341 27342 27343 27344 27345 27346 27347 27348 27349 27350 27351 27352 27353 27354 27355 27356 27357 27358 27359 27360 27361 27362 27363 27364 27365 27366 27367 27368 27369 27370 27371 27372 27373 27374 27375 27376 27377 27378 27379 27380 27381 27382 27383 27384 27385 27386 27387 27388 27389 27390 27391 27392 27393 27394 27395 27396 27397 27398 27399 27400 27401 27402 27403 27404 27405 27406 27407 27408 27409 27410 27411 27412 27413 27414 27415 27416 27417 27418 27419 27420 27421 27422 27423 27424 27425 27426 27427 27428 27429 27430 27431 27432 27433 27434 27435 27436 27437 27438 27439 27440 27441 27442 27443 27444 27445 27446 27447 27448 27449 27450 27451 27452 27453 27454 27455 27456 27457 27458 27459 27460 27461 27462 27463 27464 27465 27466 27467 27468 27469 27470 27471 27472 27473 27474 27475 27476 27477 27478 27479 27480 27481 27482 27483 27484 27485 27486 27487 27488 27489 27490 27491 27492 27493 27494 27495 27496 27497 27498 27499 27500 27501 27502 27503 27504 27505 27506 27507 27508 27509 27510 27511 27512 27513 27514 27515 27516 27517 27518 27519 27520 27521 27522 27523 27524 27525 27526 27527 27528 27529 27530 27531 27532 27533 27534 27535 27536 27537 27538 27539 27540 27541 27542 27543 27544 27545 27546 27547 27548 27549 27550 27551 27552 27553 27554 27555 27556 27557 27558 27559 27560 27561 27562 27563 27564 27565 27566 27567 27568 27569 27570 27571 27572 27573 27574 27575 27576 27577 27578 27579 27580 27581 27582 27583 27584 27585 27586 27587 27588 27589 27590 27591 27592 27593 27594 27595 27596 27597 27598 27599 27600 27601 27602 27603 27604 27605 27606 27607 27608 27609 27610 27611 27612 27613 27614 27615 27616 27617 27618 27619 27620 27621 27622 27623 27624 27625 27626 27627 27628 27629 27630 27631 27632 27633 27634 27635 27636 27637 27638 27639 27640 27641 27642 27643 27644 27645 27646 27647 27648 27649 27650 27651 27652 27653 27654 27655 27656 27657 27658 27659 27660 27661 27662 27663 27664 27665 27666 27667 27668 27669 27670 27671 27672 27673 27674 27675 27676 27677 27678 27679 27680 27681 27682 27683 27684 27685 27686 27687 27688 27689 27690 27691 27692 27693 27694 27695 27696 27697 27698 27699 27700 27701 27702 27703 27704 27705 27706 27707 27708 27709 27710 27711 27712 27713 27714 27715 27716 27717 27718 27719 27720 27721 27722 27723 27724 27725 27726 27727 27728 27729 27730 27731 27732 27733 27734 27735 27736 27737 27738 27739 27740 27741 27742 27743 27744 27745 27746 27747 27748 27749 27750 27751 27752 27753 27754 27755 27756 27757 27758 27759 27760 27761 27762 27763 27764 27765 27766 27767 27768 27769 27770 27771 27772 27773 27774 27775 27776 27777 27778 27779 27780 27781 27782 27783 27784 27785 27786 27787 27788 27789 27790 27791 27792 27793 27794 27795 27796 27797 27798 27799 27800 27801 27802 27803 27804 27805 27806 27807 27808 27809 27810 27811 27812 27813 27814 27815 27816 27817 27818 27819 27820 27821 27822 27823 27824 27825 27826 27827 27828 27829 27830 27831 27832 27833 27834 27835 27836 27837 27838 27839 27840 27841 27842 27843 27844 27845 27846 27847 27848 27849 27850 27851 27852 27853 27854 27855 27856 27857 27858 27859 27860 27861 27862 27863 27864 27865 27866 27867 27868 27869 27870 27871 27872 27873 27874 27875 27876 27877 27878 27879 27880 27881 27882 27883 27884 27885 27886 27887 27888 27889 27890 27891 27892 27893 27894 27895 27896 27897 27898 27899 27900 27901 27902 27903 27904 27905 27906 27907 27908 27909 27910 27911 27912 27913 27914 27915 27916 27917 27918 27919 27920 27921 27922 27923 27924 27925 27926 27927 27928 27929 27930 27931 27932 27933 27934 27935 27936 27937 27938 27939 27940 27941 27942 27943 27944 27945 27946 27947 27948 27949 27950 27951 27952 27953 27954 27955 27956 27957 27958 27959 27960 27961 27962 27963 27964 27965 27966 27967 27968 27969 27970 27971 27972 27973 27974 27975 27976 27977 27978 27979 27980 27981 27982 27983 27984 27985 27986 27987 27988 27989 27990 27991 27992 27993 27994 27995 27996 27997 27998 27999 28000 28001 28002 28003 28004 28005 28006 28007 28008 28009 28010 28011 28012 28013 28014 28015 28016 28017 28018 28019 28020 28021 28022 28023 28024 28025 28026 28027 28028 28029 28030 28031 28032 28033 28034 28035 28036 28037 28038 28039 28040 28041 28042 28043 28044 28045 28046 28047 28048 28049 28050 28051 28052 28053 28054 28055 28056 28057 28058 28059 28060 28061 28062 28063 28064 28065 28066 28067 28068 28069 28070 28071 28072 28073 28074 28075 28076 28077 28078 28079 28080 28081 28082 28083 28084 28085 28086 28087 28088 28089 28090 28091 28092 28093 28094 28095 28096 28097 28098 28099 28100 28101 28102 28103 28104 28105 28106 28107 28108 28109 28110 28111 28112 28113 28114 28115 28116 28117 28118 28119 28120 28121 28122 28123 28124 28125 28126 28127 28128 28129 28130 28131 28132 28133 28134 28135 28136 28137 28138 28139 28140 28141 28142 28143 28144 28145 28146 28147 28148 28149 28150 28151 28152 28153 28154 28155 28156 28157 28158 28159 28160 28161 28162 28163 28164 28165 28166 28167 28168 28169 28170 28171 28172 28173 28174 28175 28176 28177 28178 28179 28180 28181 28182 28183 28184 28185 28186 28187 28188 28189 28190 28191 28192 28193 28194 28195 28196 28197 28198 28199 28200 28201 28202 28203 28204 28205 28206 28207 28208 28209 28210 28211 28212 28213 28214 28215 28216 28217 28218 28219 28220 28221 28222 28223 28224 28225 28226 28227 28228 28229 28230 28231 28232 28233 28234 28235 28236 28237 28238 28239 28240 28241 28242 28243 28244 28245 28246 28247 28248 28249 28250 28251 28252 28253 28254 28255 28256 28257 28258 28259 28260 28261 28262 28263 28264 28265 28266 28267 28268 28269 28270 28271 28272 28273 28274 28275 28276 28277 28278 28279 28280 28281 28282 28283 28284 28285 28286 28287 28288 28289 28290 28291 28292 28293 28294 28295 28296 28297 28298 28299 28300 28301 28302 28303 28304 28305 28306 28307 28308 28309 28310 28311 28312 28313 28314 28315 28316 28317 28318 28319 28320 28321 28322 28323 28324 28325 28326 28327 28328 28329 28330 28331 28332 28333 28334 28335 28336 28337 28338 28339 28340 28341 28342 28343 28344 28345 28346 28347 28348 28349 28350 28351 28352 28353 28354 28355 28356 28357 28358 28359 28360 28361 28362 28363 28364 28365 28366 28367 28368 28369 28370 28371 28372 28373 28374 28375 28376 28377 28378 28379 28380 28381 28382 28383 28384 28385 28386 28387 28388 28389 28390 28391 28392 28393 28394 28395 28396 28397 28398 28399 28400 28401 28402 28403 28404 28405 28406 28407 28408 28409 28410 28411 28412 28413 28414 28415 28416 28417 28418 28419 28420 28421 28422 28423 28424 28425 28426 28427 28428 28429 28430 28431 28432 28433 28434 28435 28436 28437 28438 28439 28440 28441 28442 28443 28444 28445 28446 28447 28448 28449 28450 28451 28452 28453 28454 28455 28456 28457 28458 28459 28460 28461 28462 28463 28464 28465 28466 28467 28468 28469 28470 28471 28472 28473 28474 28475 28476 28477 28478 28479 28480 28481 28482 28483 28484 28485 28486 28487 28488 28489 28490 28491 28492 28493 28494 28495 28496 28497 28498 28499 28500 28501 28502 28503 28504 28505 28506 28507 28508 28509 28510 28511 28512 28513 28514 28515 28516 28517 28518 28519 28520 28521 28522 28523 28524 28525 28526 28527 28528 28529 28530 28531 28532 28533 28534 28535 28536 28537 28538 28539 28540 28541 28542 28543 28544 28545 28546 28547 28548 28549 28550 28551 28552 28553 28554 28555 28556 28557 28558 28559 28560 28561 28562 28563 28564 28565 28566 28567 28568 28569 28570 28571 28572 28573 28574 28575 28576 28577 28578 28579 28580 28581 28582 28583 28584 28585 28586 28587 28588 28589 28590 28591 28592 28593 28594 28595 28596 28597 28598 28599 28600 28601 28602 28603 28604 28605 28606 28607 28608 28609 28610 28611 28612 28613 28614 28615 28616 28617 28618 28619 28620 28621 28622 28623 28624 28625 28626 28627 28628 28629 28630 28631 28632 28633 28634 28635 28636 28637 28638 28639 28640 28641 28642 28643 28644 28645 28646 28647 28648 28649 28650 28651 28652 28653 28654 28655 28656 28657 28658 28659 28660 28661 28662 28663 28664 28665 28666 28667 28668 28669 28670 28671 28672 28673 28674 28675 28676 28677 28678 28679 28680 28681 28682 28683 28684 28685 28686 28687 28688 28689 28690 28691 28692 28693 28694 28695 28696 28697 28698 28699 28700 28701 28702 28703 28704 28705 28706 28707 28708 28709 28710 28711 28712 28713 28714 28715 28716 28717 28718 28719 28720 28721 28722 28723 28724 28725 28726 28727 28728 28729 28730 28731 28732 28733 28734 28735 28736 28737 28738 28739 28740 28741 28742 28743 28744 28745 28746 28747 28748 28749 28750 28751 28752 28753 28754 28755 28756 28757 28758 28759 28760 28761 28762 28763 28764 28765 28766 28767 28768 28769 28770 28771 28772 28773 28774 28775 28776 28777 28778 28779 28780 28781 28782 28783 28784 28785 28786 28787 28788 28789 28790 28791 28792 28793 28794 28795 28796 28797 28798 28799 28800 28801 28802 28803 28804 28805 28806 28807 28808 28809 28810 28811 28812 28813 28814 28815 28816 28817 28818 28819 28820 28821 28822 28823 28824 28825 28826 28827 28828 28829 28830 28831 28832 28833 28834 28835 28836 28837 28838 28839 28840 28841 28842 28843 28844 28845 28846 28847 28848 28849 28850 28851 28852 28853 28854 28855 28856 28857 28858 28859 28860 28861 28862 28863 28864 28865 28866 28867 28868 28869 28870 28871 28872 28873 28874 28875 28876 28877 28878 28879 28880 28881 28882 28883 28884 28885 28886 28887 28888 28889 28890 28891 28892 28893 28894 28895 28896 28897 28898 28899 28900 28901 28902 28903 28904 28905 28906 28907 28908 28909 28910 28911 28912 28913 28914 28915 28916 28917 28918 28919 28920 28921 28922 28923 28924 28925 28926 28927 28928 28929 28930 28931 28932 28933 28934 28935 28936 28937 28938 28939 28940 28941 28942 28943 28944 28945 28946 28947 28948 28949 28950 28951 28952 28953 28954 28955 28956 28957 28958 28959 28960 28961 28962 28963 28964 28965 28966 28967 28968 28969 28970 28971 28972 28973 28974 28975 28976 28977 28978 28979 28980 28981 28982 28983 28984 28985 28986 28987 28988 28989 28990 28991 28992 28993 28994 28995 28996 28997 28998 28999 29000 29001 29002 29003 29004 29005 29006 29007 29008 29009 29010 29011 29012 29013 29014 29015 29016 29017 29018 29019 29020 29021 29022 29023 29024 29025 29026 29027 29028 29029 29030 29031 29032 29033 29034 29035 29036 29037 29038 29039 29040 29041 29042 29043 29044 29045 29046 29047 29048 29049 29050 29051 29052 29053 29054 29055 29056 29057 29058 29059 29060 29061 29062 29063 29064 29065 29066 29067 29068 29069 29070 29071 29072 29073 29074 29075 29076 29077 29078 29079 29080 29081 29082 29083 29084 29085 29086 29087 29088 29089 29090 29091 29092 29093 29094 29095 29096 29097 29098 29099 29100 29101 29102 29103 29104 29105 29106 29107 29108 29109 29110 29111 29112 29113 29114 29115 29116 29117 29118 29119 29120 29121 29122 29123 29124 29125 29126 29127 29128 29129 29130 29131 29132 29133 29134 29135 29136 29137 29138 29139 29140 29141 29142 29143 29144 29145 29146 29147 29148 29149 29150 29151 29152 29153 29154 29155 29156 29157 29158 29159 29160 29161 29162 29163 29164 29165 29166 29167 29168 29169 29170 29171 29172 29173 29174 29175 29176 29177 29178 29179 29180 29181 29182 29183 29184 29185 29186 29187 29188 29189 29190 29191 29192 29193 29194 29195 29196 29197 29198 29199 29200 29201 29202 29203 29204 29205 29206 29207 29208 29209 29210 29211 29212 29213 29214 29215 29216 29217 29218 29219 29220 29221 29222 29223 29224 29225 29226 29227 29228 29229 29230 29231 29232 29233 29234 29235 29236 29237 29238 29239 29240 29241 29242 29243 29244 29245 29246 29247 29248 29249 29250 29251 29252 29253 29254 29255 29256 29257 29258 29259 29260 29261 29262 29263 29264 29265 29266 29267 29268 29269 29270 29271 29272 29273 29274 29275 29276 29277 29278 29279 29280 29281 29282 29283 29284 29285 29286 29287 29288 29289 29290 29291 29292 29293 29294 29295 29296 29297 29298 29299 29300 29301 29302 29303 29304 29305 29306 29307 29308 29309 29310 29311 29312 29313 29314 29315 29316 29317 29318 29319 29320 29321 29322 29323 29324 29325 29326 29327 29328 29329 29330 29331 29332 29333 29334 29335 29336 29337 29338 29339 29340 29341 29342 29343 29344 29345 29346 29347 29348 29349 29350 29351 29352 29353 29354 29355 29356 29357 29358 29359 29360 29361 29362 29363 29364 29365 29366 29367 29368 29369 29370 29371 29372 29373 29374 29375 29376 29377 29378 29379 29380 29381 29382 29383 29384 29385 29386 29387 29388 29389 29390 29391 29392 29393 29394 29395 29396 29397 29398 29399 29400 29401 29402 29403 29404 29405 29406 29407 29408 29409 29410 29411 29412 29413 29414 29415 29416 29417 29418 29419 29420 29421 29422 29423 29424 29425 29426 29427 29428 29429 29430 29431 29432 29433 29434 29435 29436 29437 29438 29439 29440 29441 29442 29443 29444 29445 29446 29447 29448 29449 29450 29451 29452 29453 29454 29455 29456 29457 29458 29459 29460 29461 29462 29463 29464 29465 29466 29467 29468 29469 29470 29471 29472 29473 29474 29475 29476 29477 29478 29479 29480 29481 29482 29483 29484 29485 29486 29487 29488 29489 29490 29491 29492 29493 29494 29495 29496 29497 29498 29499 29500 29501 29502 29503 29504 29505 29506 29507 29508 29509 29510 29511 29512 29513 29514 29515 29516 29517 29518 29519 29520 29521 29522 29523 29524 29525 29526 29527 29528 29529 29530 29531 29532 29533 29534 29535 29536 29537 29538 29539 29540 29541 29542 29543 29544 29545 29546 29547 29548 29549 29550 29551 29552 29553 29554 29555 29556 29557 29558 29559 29560 29561 29562 29563 29564 29565 29566 29567 29568 29569 29570 29571 29572 29573 29574 29575 29576 29577 29578 29579 29580 29581 29582 29583 29584 29585 29586 29587 29588 29589 29590 29591 29592 29593 29594 29595 29596 29597 29598 29599 29600 29601 29602 29603 29604 29605 29606 29607 29608 29609 29610 29611 29612 29613 29614 29615 29616 29617 29618 29619 29620 29621 29622 29623 29624 29625 29626 29627 29628 29629 29630 29631 29632 29633 29634 29635 29636 29637 29638 29639 29640 29641 29642 29643 29644 29645 29646 29647 29648 29649 29650 29651 29652 29653 29654 29655 29656 29657 29658 29659 29660 29661 29662 29663 29664 29665 29666 29667 29668 29669 29670 29671 29672 29673 29674 29675 29676 29677 29678 29679 29680 29681 29682 29683 29684 29685 29686 29687 29688 29689 29690 29691 29692 29693 29694 29695 29696 29697 29698 29699 29700 29701 29702 29703 29704 29705 29706 29707 29708 29709 29710 29711 29712 29713 29714 29715 29716 29717 29718 29719 29720 29721 29722 29723 29724 29725 29726 29727 29728 29729 29730 29731 29732 29733 29734 29735 29736 29737 29738 29739 29740 29741 29742 29743 29744 29745 29746 29747 29748 29749 29750 29751 29752 29753 29754 29755 29756 29757 29758 29759 29760 29761 29762 29763 29764 29765 29766 29767 29768 29769 29770 29771 29772 29773 29774 29775 29776 29777 29778 29779 29780 29781 29782 29783 29784 29785 29786 29787 29788 29789 29790 29791 29792 29793 29794 29795 29796 29797 29798 29799 29800 29801 29802 29803 29804 29805 29806 29807 29808 29809 29810 29811 29812 29813 29814 29815 29816 29817 29818 29819 29820 29821 29822 29823 29824 29825 29826 29827 29828 29829 29830 29831 29832 29833 29834 29835 29836 29837 29838 29839 29840 29841 29842 29843 29844 29845 29846 29847 29848 29849 29850 29851 29852 29853 29854 29855 29856 29857 29858 29859 29860 29861 29862 29863 29864 29865 29866 29867 29868 29869 29870 29871 29872 29873 29874 29875 29876 29877 29878 29879 29880 29881 29882 29883 29884 29885 29886 29887 29888 29889 29890 29891 29892 29893 29894 29895 29896 29897 29898 29899 29900 29901 29902 29903 29904 29905 29906 29907 29908 29909 29910 29911 29912 29913 29914 29915 29916 29917 29918 29919 29920 29921 29922 29923 29924 29925 29926 29927 29928 29929 29930 29931 29932 29933 29934 29935 29936 29937 29938 29939 29940 29941 29942 29943 29944 29945 29946 29947 29948 29949 29950 29951 29952 29953 29954 29955 29956 29957 29958 29959 29960 29961 29962 29963 29964 29965 29966 29967 29968 29969 29970 29971 29972 29973 29974 29975 29976 29977 29978 29979 29980 29981 29982 29983 29984 29985 29986 29987 29988 29989 29990 29991 29992 29993 29994 29995 29996 29997 29998 29999 30000 30001 30002 30003 30004 30005 30006 30007 30008 30009 30010 30011 30012 30013 30014 30015 30016 30017 30018 30019 30020 30021 30022 30023 30024 30025 30026 30027 30028 30029 30030 30031 30032 30033 30034 30035 30036 30037 30038 30039 30040 30041 30042 30043 30044 30045 30046 30047 30048 30049 30050 30051 30052 30053 30054 30055 30056 30057 30058 30059 30060 30061 30062 30063 30064 30065 30066 30067 30068 30069 30070 30071 30072 30073 30074 30075 30076 30077 30078 30079 30080 30081 30082 30083 30084 30085 30086 30087 30088 30089 30090 30091 30092 30093 30094 30095 30096 30097 30098 30099 30100 30101 30102 30103 30104 30105 30106 30107 30108 30109 30110 30111 30112 30113 30114 30115 30116 30117 30118 30119 30120 30121 30122 30123 30124 30125 30126 30127 30128 30129 30130 30131 30132 30133 30134 30135 30136 30137 30138 30139 30140 30141 30142 30143 30144 30145 30146 30147 30148 30149 30150 30151 30152 30153 30154 30155 30156 30157 30158 30159 30160 30161 30162 30163 30164 30165 30166 30167 30168 30169 30170 30171 30172 30173 30174 30175 30176 30177 30178 30179 30180 30181 30182 30183 30184 30185 30186 30187 30188 30189 30190 30191 30192 30193 30194 30195 30196 30197 30198 30199 30200 30201 30202 30203 30204 30205 30206 30207 30208 30209 30210 30211 30212 30213 30214 30215 30216 30217 30218 30219 30220 30221 30222 30223 30224 30225 30226 30227 30228 30229 30230 30231 30232 30233 30234 30235 30236 30237 30238 30239 30240 30241 30242 30243 30244 30245 30246 30247 30248 30249 30250 30251 30252 30253 30254 30255 30256 30257 30258 30259 30260 30261 30262 30263 30264 30265 30266 30267 30268 30269 30270 30271 30272 30273 30274 30275 30276 30277 30278 30279 30280 30281 30282 30283 30284 30285 30286 30287 30288 30289 30290 30291 30292 30293 30294 30295 30296 30297 30298 30299 30300 30301 30302 30303 30304 30305 30306 30307 30308 30309 30310 30311 30312 30313 30314 30315 30316 30317 30318 30319 30320 30321 30322 30323 30324 30325 30326 30327 30328 30329 30330 30331 30332 30333 30334 30335 30336 30337 30338 30339 30340 30341 30342 30343 30344 30345 30346 30347 30348 30349 30350 30351 30352 30353 30354 30355 30356 30357 30358 30359 30360 30361 30362 30363 30364 30365 30366 30367 30368 30369 30370 30371 30372 30373 30374 30375 30376 30377 30378 30379 30380 30381 30382 30383 30384 30385 30386 30387 30388 30389 30390 30391 30392 30393 30394 30395 30396 30397 30398 30399 30400 30401 30402 30403 30404 30405 30406 30407 30408 30409 30410 30411 30412 30413 30414 30415 30416 30417 30418 30419 30420 30421 30422 30423 30424 30425 30426 30427 30428 30429 30430 30431 30432 30433 30434 30435 30436 30437 30438 30439 30440 30441 30442 30443 30444 30445 30446 30447 30448 30449 30450 30451 30452 30453 30454 30455 30456 30457 30458 30459 30460 30461 30462 30463 30464 30465 30466 30467 30468 30469 30470 30471 30472 30473 30474 30475 30476 30477 30478 30479 30480 30481 30482 30483 30484 30485 30486 30487 30488 30489 30490 30491 30492 30493 30494 30495 30496 30497 30498 30499 30500 30501 30502 30503 30504 30505 30506 30507 30508 30509 30510 30511 30512 30513 30514 30515 30516 30517 30518 30519 30520 30521 30522 30523 30524 30525 30526 30527 30528 30529 30530 30531 30532 30533 30534 30535 30536 30537 30538 30539 30540 30541 30542 30543 30544 30545 30546 30547 30548 30549 30550 30551 30552 30553 30554 30555 30556 30557 30558 30559 30560 30561 30562 30563 30564 30565 30566 30567 30568 30569 30570 30571 30572 30573 30574 30575 30576 30577 30578 30579 30580 30581 30582 30583 30584 30585 30586 30587 30588 30589 30590 30591 30592 30593 30594 30595 30596 30597 30598 30599 30600 30601 30602 30603 30604 30605 30606 30607 30608 30609 30610 30611 30612 30613 30614 30615 30616 30617 30618 30619 30620 30621 30622 30623 30624 30625 30626 30627 30628 30629 30630 30631 30632 30633 30634 30635 30636 30637 30638 30639 30640 30641 30642 30643 30644 30645 30646 30647 30648 30649 30650 30651 30652 30653 30654 30655 30656 30657 30658 30659 30660 30661 30662 30663 30664 30665 30666 30667 30668 30669 30670 30671 30672 30673 30674 30675 30676 30677 30678 30679 30680 30681 30682 30683 30684 30685 30686 30687 30688 30689 30690 30691 30692 30693 30694 30695 30696 30697 30698 30699 30700 30701 30702 30703 30704 30705 30706 30707 30708 30709 30710 30711 30712 30713 30714 30715 30716 30717 30718 30719 30720 30721 30722 30723 30724 30725 30726 30727 30728 30729 30730 30731 30732 30733 30734 30735 30736 30737 30738 30739 30740 30741 30742 30743 30744 30745 30746 30747 30748 30749 30750 30751 30752 30753 30754 30755 30756 30757 30758 30759 30760 30761 30762 30763 30764 30765 30766 30767 30768 30769 30770 30771 30772 30773 30774 30775 30776 30777 30778 30779 30780 30781 30782 30783 30784 30785 30786 30787 30788 30789 30790 30791 30792 30793 30794 30795 30796 30797 30798 30799 30800 30801 30802 30803 30804 30805 30806 30807 30808 30809 30810 30811 30812 30813 30814 30815 30816 30817 30818 30819 30820 30821 30822 30823 30824 30825 30826 30827 30828 30829 30830 30831 30832 30833 30834 30835 30836 30837 30838 30839 30840 30841 30842 30843 30844 30845 30846 30847 30848 30849 30850 30851 30852 30853 30854 30855 30856 30857 30858 30859 30860 30861 30862 30863 30864 30865 30866 30867 30868 30869 30870 30871 30872 30873 30874 30875 30876 30877 30878 30879 30880 30881 30882 30883 30884 30885 30886 30887 30888 30889 30890 30891 30892 30893 30894 30895 30896 30897 30898 30899 30900 30901 30902 30903 30904 30905 30906 30907 30908 30909 30910 30911 30912 30913 30914 30915 30916 30917 30918 30919 30920 30921 30922 30923 30924 30925 30926 30927 30928 30929 30930 30931 30932 30933 30934 30935 30936 30937 30938 30939 30940 30941 30942 30943 30944 30945 30946 30947 30948 30949 30950 30951 30952 30953 30954 30955 30956 30957 30958 30959 30960 30961 30962 30963 30964 30965 30966 30967 30968 30969 30970 30971 30972 30973 30974 30975 30976 30977 30978 30979 30980 30981 30982 30983 30984 30985 30986 30987 30988 30989 30990 30991 30992 30993 30994 30995 30996 30997 30998 30999 31000 31001 31002 31003 31004 31005 31006 31007 31008 31009 31010 31011 31012 31013 31014 31015 31016 31017 31018 31019 31020 31021 31022 31023 31024 31025 31026 31027 31028 31029 31030 31031 31032 31033 31034 31035 31036 31037 31038 31039 31040 31041 31042 31043 31044 31045 31046 31047 31048 31049 31050 31051 31052 31053 31054 31055 31056 31057 31058 31059 31060 31061 31062 31063 31064 31065 31066 31067 31068 31069 31070 31071 31072 31073 31074 31075 31076 31077 31078 31079 31080 31081 31082 31083 31084 31085 31086 31087 31088 31089 31090 31091 31092 31093 31094 31095 31096 31097 31098 31099 31100 31101 31102 31103 31104 31105 31106 31107 31108 31109 31110 31111 31112 31113 31114 31115 31116 31117 31118 31119 31120 31121 31122 31123 31124 31125 31126 31127 31128 31129 31130 31131 31132 31133 31134 31135 31136 31137 31138 31139 31140 31141 31142 31143 31144 31145 31146 31147 31148 31149 31150 31151 31152 31153 31154 31155 31156 31157 31158 31159 31160 31161 31162 31163 31164 31165 31166 31167 31168 31169 31170 31171 31172 31173 31174 31175 31176 31177 31178 31179 31180 31181 31182 31183 31184 31185 31186 31187 31188 31189 31190 31191 31192 31193 31194 31195 31196 31197 31198 31199 31200 31201 31202 31203 31204 31205 31206 31207 31208 31209 31210 31211 31212 31213 31214 31215 31216 31217 31218 31219 31220 31221 31222 31223 31224 31225 31226 31227 31228 31229 31230 31231 31232 31233 31234 31235 31236 31237 31238 31239 31240 31241 31242 31243 31244 31245 31246 31247 31248 31249 31250 31251 31252 31253 31254 31255 31256 31257 31258 31259 31260 31261 31262 31263 31264 31265 31266 31267 31268 31269 31270 31271 31272 31273 31274 31275 31276 31277 31278 31279 31280 31281 31282 31283 31284 31285 31286 31287 31288 31289 31290 31291 31292 31293 31294 31295 31296 31297 31298 31299 31300 31301 31302 31303 31304 31305 31306 31307 31308 31309 31310 31311 31312 31313 31314 31315 31316 31317 31318 31319 31320 31321 31322 31323 31324 31325 31326 31327 31328 31329 31330 31331 31332 31333 31334 31335 31336 31337 31338 31339 31340 31341 31342 31343 31344 31345 31346 31347 31348 31349 31350 31351 31352 31353 31354 31355 31356 31357 31358 31359 31360 31361 31362 31363 31364 31365 31366 31367 31368 31369 31370 31371 31372 31373 31374 31375 31376 31377 31378 31379 31380 31381 31382 31383 31384 31385 31386 31387 31388 31389 31390 31391 31392 31393 31394 31395 31396 31397 31398 31399 31400 31401 31402 31403 31404 31405 31406 31407 31408 31409 31410 31411 31412 31413 31414 31415 31416 31417 31418 31419 31420 31421 31422 31423 31424 31425 31426 31427 31428 31429 31430 31431 31432 31433 31434 31435 31436 31437 31438 31439 31440 31441 31442 31443 31444 31445 31446 31447 31448 31449 31450 31451 31452 31453 31454 31455 31456 31457 31458 31459 31460 31461 31462 31463 31464 31465 31466 31467 31468 31469 31470 31471 31472 31473 31474 31475 31476 31477 31478 31479 31480 31481 31482 31483 31484 31485 31486 31487 31488 31489 31490 31491 31492 31493 31494 31495 31496 31497 31498 31499 31500 31501 31502 31503 31504 31505 31506 31507 31508 31509 31510 31511 31512 31513 31514 31515 31516 31517 31518 31519 31520 31521 31522 31523 31524 31525 31526 31527 31528 31529 31530 31531 31532 31533 31534 31535 31536 31537 31538 31539 31540 31541 31542 31543 31544 31545 31546 31547 31548 31549 31550 31551 31552 31553 31554 31555 31556 31557 31558 31559 31560 31561 31562 31563 31564 31565 31566 31567 31568 31569 31570 31571 31572 31573 31574 31575 31576 31577 31578 31579 31580 31581 31582 31583 31584 31585 31586 31587 31588 31589 31590 31591 31592 31593 31594 31595 31596 31597 31598 31599 31600 31601 31602 31603 31604 31605 31606 31607 31608 31609 31610 31611 31612 31613 31614 31615 31616 31617 31618 31619 31620 31621 31622 31623 31624 31625 31626 31627 31628 31629 31630 31631 31632 31633 31634 31635 31636 31637 31638 31639 31640 31641 31642 31643 31644 31645 31646 31647 31648 31649 31650 31651 31652 31653 31654 31655 31656 31657 31658 31659 31660 31661 31662 31663 31664 31665 31666 31667 31668 31669 31670 31671 31672 31673 31674 31675 31676 31677 31678 31679 31680 31681 31682 31683 31684 31685 31686 31687 31688 31689 31690 31691 31692 31693 31694 31695 31696 31697 31698 31699 31700 31701 31702 31703 31704 31705 31706 31707 31708 31709 31710 31711 31712 31713 31714 31715 31716 31717 31718 31719 31720 31721 31722 31723 31724 31725 31726 31727 31728 31729 31730 31731 31732 31733 31734 31735 31736 31737 31738 31739 31740 31741 31742 31743 31744 31745 31746 31747 31748 31749 31750 31751 31752 31753 31754 31755 31756 31757 31758 31759 31760 31761 31762 31763 31764 31765 31766 31767 31768 31769 31770 31771 31772 31773 31774 31775 31776 31777 31778 31779 31780 31781 31782 31783 31784 31785 31786 31787 31788 31789 31790 31791 31792 31793 31794 31795 31796 31797 31798 31799 31800 31801 31802 31803 31804 31805 31806 31807 31808 31809 31810 31811 31812 31813 31814 31815 31816 31817 31818 31819 31820 31821 31822 31823 31824 31825 31826 31827 31828 31829 31830 31831 31832 31833 31834 31835 31836 31837 31838 31839 31840 31841 31842 31843 31844 31845 31846 31847 31848 31849 31850 31851 31852 31853 31854 31855 31856 31857 31858 31859 31860 31861 31862 31863 31864 31865 31866 31867 31868 31869 31870 31871 31872 31873 31874 31875 31876 31877 31878 31879 31880 31881 31882 31883 31884 31885 31886 31887 31888 31889 31890 31891 31892 31893 31894 31895 31896 31897 31898 31899 31900 31901 31902 31903 31904 31905 31906 31907 31908 31909 31910 31911 31912 31913 31914 31915 31916 31917 31918 31919 31920 31921 31922 31923 31924 31925 31926 31927 31928 31929 31930 31931 31932 31933 31934 31935 31936 31937 31938 31939 31940 31941 31942 31943 31944 31945 31946 31947 31948 31949 31950 31951 31952 31953 31954 31955 31956 31957 31958 31959 31960 31961 31962 31963 31964 31965 31966 31967 31968 31969 31970 31971 31972 31973 31974 31975 31976 31977 31978 31979 31980 31981 31982 31983 31984 31985 31986 31987 31988 31989 31990 31991 31992 31993 31994 31995 31996 31997 31998 31999 32000 32001 32002 32003 32004 32005 32006 32007 32008 32009 32010 32011 32012 32013 32014 32015 32016 32017 32018 32019 32020 32021 32022 32023 32024 32025 32026 32027 32028 32029 32030 32031 32032 32033 32034 32035 32036 32037 32038 32039 32040 32041 32042 32043 32044 32045 32046 32047 32048 32049 32050 32051 32052 32053 32054 32055 32056 32057 32058 32059 32060 32061 32062 32063 32064 32065 32066 32067 32068 32069 32070 32071 32072 32073 32074 32075 32076 32077 32078 32079 32080 32081 32082 32083 32084 32085 32086 32087 32088 32089 32090 32091 32092 32093 32094 32095 32096 32097 32098 32099 32100 32101 32102 32103 32104 32105 32106 32107 32108 32109 32110 32111 32112 32113 32114 32115 32116 32117 32118 32119 32120 32121 32122 32123 32124 32125 32126 32127 32128 32129 32130 32131 32132 32133 32134 32135 32136 32137 32138 32139 32140 32141 32142 32143 32144 32145 32146 32147 32148 32149 32150 32151 32152 32153 32154 32155 32156 32157 32158 32159 32160 32161 32162 32163 32164 32165 32166 32167 32168 32169 32170 32171 32172 32173 32174 32175 32176 32177 32178 32179 32180 32181 32182 32183 32184 32185 32186 32187 32188 32189 32190 32191 32192 32193 32194 32195 32196 32197 32198 32199 32200 32201 32202 32203 32204 32205 32206 32207 32208 32209 32210 32211 32212 32213 32214 32215 32216 32217 32218 32219 32220 32221 32222 32223 32224 32225 32226 32227 32228 32229 32230 32231 32232 32233 32234 32235 32236 32237 32238 32239 32240 32241 32242 32243 32244 32245 32246 32247 32248 32249 32250 32251 32252 32253 32254 32255 32256 32257 32258 32259 32260 32261 32262 32263 32264 32265 32266 32267 32268 32269 32270 32271 32272 32273 32274 32275 32276 32277 32278 32279 32280 32281 32282 32283 32284 32285 32286 32287 32288 32289 32290 32291 32292 32293 32294 32295 32296 32297 32298 32299 32300 32301 32302 32303 32304 32305 32306 32307 32308 32309 32310 32311 32312 32313 32314 32315 32316 32317 32318 32319 32320 32321 32322 32323 32324 32325 32326 32327 32328 32329 32330 32331 32332 32333 32334 32335 32336 32337 32338 32339 32340 32341 32342 32343 32344 32345 32346 32347 32348 32349 32350 32351 32352 32353 32354 32355 32356 32357 32358 32359 32360 32361 32362 32363 32364 32365 32366 32367 32368 32369 32370 32371 32372 32373 32374 32375 32376 32377 32378 32379 32380 32381 32382 32383 32384 32385 32386 32387 32388 32389 32390 32391 32392 32393 32394 32395 32396 32397 32398 32399 32400 32401 32402 32403 32404 32405 32406 32407 32408 32409 32410 32411 32412 32413 32414 32415 32416 32417 32418 32419 32420 32421 32422 32423 32424 32425 32426 32427 32428 32429 32430 32431 32432 32433 32434 32435 32436 32437 32438 32439 32440 32441 32442 32443 32444 32445 32446 32447 32448 32449 32450 32451 32452 32453 32454 32455 32456 32457 32458 32459 32460 32461 32462 32463 32464 32465 32466 32467 32468 32469 32470 32471 32472 32473 32474 32475 32476 32477 32478 32479 32480 32481 32482 32483 32484 32485 32486 32487 32488 32489 32490 32491 32492 32493 32494 32495 32496 32497 32498 32499 32500 32501 32502 32503 32504 32505 32506 32507 32508 32509 32510 32511 32512 32513 32514 32515 32516 32517 32518 32519 32520 32521 32522 32523 32524 32525 32526 32527 32528 32529 32530 32531 32532 32533 32534 32535 32536 32537 32538 32539 32540 32541 32542 32543 32544 32545 32546 32547 32548 32549 32550 32551 32552 32553 32554 32555 32556 32557 32558 32559 32560 32561 32562 32563 32564 32565 32566 32567 32568 32569 32570 32571 32572 32573 32574 32575 32576 32577 32578 32579 32580 32581 32582 32583 32584 32585 32586 32587 32588 32589 32590 32591 32592 32593 32594 32595 32596 32597 32598 32599 32600 32601 32602 32603 32604 32605 32606 32607 32608 32609 32610 32611 32612 32613 32614 32615 32616 32617 32618 32619 32620 32621 32622 32623 32624 32625 32626 32627 32628 32629 32630 32631 32632 32633 32634 32635 32636 32637 32638 32639 32640 32641 32642 32643 32644 32645 32646 32647 32648 32649 32650 32651 32652 32653 32654 32655 32656 32657 32658 32659 32660 32661 32662 32663 32664 32665 32666 32667 32668 32669 32670 32671 32672 32673 32674 32675 32676 32677 32678 32679 32680 32681 32682 32683 32684 32685 32686 32687 32688 32689 32690 32691 32692 32693 32694 32695 32696 32697 32698 32699 32700 32701 32702 32703 32704 32705 32706 32707 32708 32709 32710 32711 32712 32713 32714 32715 32716 32717 32718 32719 32720 32721 32722 32723 32724 32725 32726 32727 32728 32729 32730 32731 32732 32733 32734 32735 32736 32737 32738 32739 32740 32741 32742 32743 32744 32745 32746 32747 32748 32749 32750 32751 32752 32753 32754 32755 32756 32757 32758 32759 32760 32761 32762 32763 32764 32765 32766 32767 32768 32769 32770 32771 32772 32773 32774 32775 32776 32777 32778 32779 32780 32781 32782 32783 32784 32785 32786 32787 32788 32789 32790 32791 32792 32793 32794 32795 32796 32797 32798 32799 32800 32801 32802 32803 32804 32805 32806 32807 32808 32809 32810 32811 32812 32813 32814 32815 32816 32817 32818 32819 32820 32821 32822 32823 32824 32825 32826 32827 32828 32829 32830 32831 32832 32833 32834 32835 32836 32837 32838 32839 32840 32841 32842 32843 32844 32845 32846 32847 32848 32849 32850 32851 32852 32853 32854 32855 32856 32857 32858 32859 32860 32861 32862 32863 32864 32865 32866 32867 32868 32869 32870 32871 32872 32873 32874 32875 32876 32877 32878 32879 32880 32881 32882 32883 32884 32885 32886 32887 32888 32889 32890 32891 32892 32893 32894 32895 32896 32897 32898 32899 32900 32901 32902 32903 32904 32905 32906 32907 32908 32909 32910 32911 32912 32913 32914 32915 32916 32917 32918 32919 32920 32921 32922 32923 32924 32925 32926 32927 32928 32929 32930 32931 32932 32933 32934 32935 32936 32937 32938 32939 32940 32941 32942 32943 32944 32945 32946 32947 32948 32949 32950 32951 32952 32953 32954 32955 32956 32957 32958 32959 32960 32961 32962 32963 32964 32965 32966 32967 32968 32969 32970 32971 32972 32973 32974 32975 32976 32977 32978 32979 32980 32981 32982 32983 32984 32985 32986 32987 32988 32989 32990 32991 32992 32993 32994 32995 32996 32997 32998 32999 33000 33001 33002 33003 33004 33005 33006 33007 33008 33009 33010 33011 33012 33013 33014 33015 33016 33017 33018 33019 33020 33021 33022 33023 33024 33025 33026 33027 33028 33029 33030 33031 33032 33033 33034 33035 33036 33037 33038 33039 33040 33041 33042 33043 33044 33045 33046 33047 33048 33049 33050 33051 33052 33053 33054 33055 33056 33057 33058 33059 33060 33061 33062 33063 33064 33065 33066 33067 33068 33069 33070 33071 33072 33073 33074 33075 33076 33077 33078 33079 33080 33081 33082 33083 33084 33085 33086 33087 33088 33089 33090 33091 33092 33093 33094 33095 33096 33097 33098 33099 33100 33101 33102 33103 33104 33105 33106 33107 33108 33109 33110 33111 33112 33113 33114 33115 33116 33117 33118 33119 33120 33121 33122 33123 33124 33125 33126 33127 33128 33129 33130 33131 33132 33133 33134 33135 33136 33137 33138 33139 33140 33141 33142 33143 33144 33145 33146 33147 33148 33149 33150 33151 33152 33153 33154 33155 33156 33157 33158 33159 33160 33161 33162 33163 33164 33165 33166 33167 33168 33169 33170 33171 33172 33173 33174 33175 33176 33177 33178 33179 33180 33181 33182 33183 33184 33185 33186 33187 33188 33189 33190 33191 33192 33193 33194 33195 33196 33197 33198 33199 33200 33201 33202 33203 33204 33205 33206 33207 33208 33209 33210 33211 33212 33213 33214 33215 33216 33217 33218 33219 33220 33221 33222 33223 33224 33225 33226 33227 33228 33229 33230 33231 33232 33233 33234 33235 33236 33237 33238 33239 33240 33241 33242 33243 33244 33245 33246 33247 33248 33249 33250 33251 33252 33253 33254 33255 33256 33257 33258 33259 33260 33261 33262 33263 33264 33265 33266 33267 33268 33269 33270 33271 33272 33273 33274 33275 33276 33277 33278 33279 33280 33281 33282 33283 33284 33285 33286 33287 33288 33289 33290 33291 33292 33293 33294 33295 33296 33297 33298 33299 33300 33301 33302 33303 33304 33305 33306 33307 33308 33309 33310 33311 33312 33313 33314 33315 33316 33317 33318 33319 33320 33321 33322 33323 33324 33325 33326 33327 33328 33329 33330 33331 33332 33333 33334 33335 33336 33337 33338 33339 33340 33341 33342 33343 33344 33345 33346 33347 33348 33349 33350 33351 33352 33353 33354 33355 33356 33357 33358 33359 33360 33361 33362 33363 33364 33365 33366 33367 33368 33369 33370 33371 33372 33373 33374 33375 33376 33377 33378 33379 33380 33381 33382 33383 33384 33385 33386 33387 33388 33389 33390 33391 33392 33393 33394 33395 33396 33397 33398 33399 33400 33401 33402 33403 33404 33405 33406 33407 33408 33409 33410 33411 33412 33413 33414 33415 33416 33417 33418 33419 33420 33421 33422 33423 33424 33425 33426 33427 33428 33429 33430 33431 33432 33433 33434 33435 33436 33437 33438 33439 33440 33441 33442 33443 33444 33445 33446 33447 33448 33449 33450 33451 33452 33453 33454 33455 33456 33457 33458 33459 33460 33461 33462 33463 33464 33465 33466 33467 33468 33469 33470 33471 33472 33473 33474 33475 33476 33477 33478 33479 33480 33481 33482 33483 33484 33485 33486 33487 33488 33489 33490 33491 33492 33493 33494 33495 33496 33497 33498 33499 33500 33501 33502 33503 33504 33505 33506 33507 33508 33509 33510 33511 33512 33513 33514 33515 33516 33517 33518 33519 33520 33521 33522 33523 33524 33525 33526 33527 33528 33529 33530 33531 33532 33533 33534 33535 33536 33537 33538 33539 33540 33541 33542 33543 33544 33545 33546 33547 33548 33549 33550 33551 33552 33553 33554 33555 33556 33557 33558 33559 33560 33561 33562 33563 33564 33565 33566 33567 33568 33569 33570 33571 33572 33573 33574 33575 33576 33577 33578 33579 33580 33581 33582 33583 33584 33585 33586 33587 33588 33589 33590 33591 33592 33593 33594 33595 33596 33597 33598 33599 33600 33601 33602 33603 33604 33605 33606 33607 33608 33609 33610 33611 33612 33613 33614 33615 33616 33617 33618 33619 33620 33621 33622 33623 33624 33625 33626 33627 33628 33629 33630 33631 33632 33633 33634 33635 33636 33637 33638 33639 33640 33641 33642 33643 33644 33645 33646 33647 33648 33649 33650 33651 33652 33653 33654 33655 33656 33657 33658 33659 33660 33661 33662 33663 33664 33665 33666 33667 33668 33669 33670 33671 33672 33673 33674 33675 33676 33677 33678 33679 33680 33681 33682 33683 33684 33685 33686 33687 33688 33689 33690 33691 33692 33693 33694 33695 33696 33697 33698 33699 33700 33701 33702 33703 33704 33705 33706 33707 33708 33709 33710 33711 33712 33713 33714 33715 33716 33717 33718 33719 33720 33721 33722 33723 33724 33725 33726 33727 33728 33729 33730 33731 33732 33733 33734 33735 33736 33737 33738 33739 33740 33741 33742 33743 33744 33745 33746 33747 33748 33749 33750 33751 33752 33753 33754 33755 33756 33757 33758 33759 33760 33761 33762 33763 33764 33765 33766 33767 33768 33769 33770 33771 33772 33773 33774 33775 33776 33777 33778 33779 33780 33781 33782 33783 33784 33785 33786 33787 33788 33789 33790 33791 33792 33793 33794 33795 33796 33797 33798 33799 33800 33801 33802 33803 33804 33805 33806 33807 33808 33809 33810 33811 33812 33813 33814 33815 33816 33817 33818 33819 33820 33821 33822 33823 33824 33825 33826 33827 33828 33829 33830 33831 33832 33833 33834 33835 33836 33837 33838 33839 33840 33841 33842 33843 33844 33845 33846 33847 33848 33849 33850 33851 33852 33853 33854 33855 33856 33857 33858 33859 33860 33861 33862 33863 33864 33865 33866 33867 33868 33869 33870 33871 33872 33873 33874 33875 33876 33877 33878 33879 33880 33881 33882 33883 33884 33885 33886 33887 33888 33889 33890 33891 33892 33893 33894 33895 33896 33897 33898 33899 33900 33901 33902 33903 33904 33905 33906 33907 33908 33909 33910 33911 33912 33913 33914 33915 33916 33917 33918 33919 33920 33921 33922 33923 33924 33925 33926 33927 33928 33929 33930 33931 33932 33933 33934 33935 33936 33937 33938 33939 33940 33941 33942 33943 33944 33945 33946 33947 33948 33949 33950 33951 33952 33953 33954 33955 33956 33957 33958 33959 33960 33961 33962 33963 33964 33965 33966 33967 33968 33969 33970 33971 33972 33973 33974 33975 33976 33977 33978 33979 33980 33981 33982 33983 33984 33985 33986 33987 33988 33989 33990 33991 33992 33993 33994 33995 33996 33997 33998 33999 34000 34001 34002 34003 34004 34005 34006 34007 34008 34009 34010 34011 34012 34013 34014 34015 34016 34017 34018 34019 34020 34021 34022 34023 34024 34025 34026 34027 34028 34029 34030 34031 34032 34033 34034 34035 34036 34037 34038 34039 34040 34041 34042 34043 34044 34045 34046 34047 34048 34049 34050 34051 34052 34053 34054 34055 34056 34057 34058 34059 34060 34061 34062 34063 34064 34065 34066 34067 34068 34069 34070 34071 34072 34073 34074 34075 34076 34077 34078 34079 34080 34081 34082 34083 34084 34085 34086 34087 34088 34089 34090 34091 34092 34093 34094 34095 34096 34097 34098 34099 34100 34101 34102 34103 34104 34105 34106 34107 34108 34109 34110 34111 34112 34113 34114 34115 34116 34117 34118 34119 34120 34121 34122 34123 34124 34125 34126 34127 34128 34129 34130 34131 34132 34133 34134 34135 34136 34137 34138 34139 34140 34141 34142 34143 34144 34145 34146 34147 34148 34149 34150 34151 34152 34153 34154 34155 34156 34157 34158 34159 34160 34161 34162 34163 34164 34165 34166 34167 34168 34169 34170 34171 34172 34173 34174 34175 34176 34177 34178 34179 34180 34181 34182 34183 34184 34185 34186 34187 34188 34189 34190 34191 34192 34193 34194 34195 34196 34197 34198 34199 34200 34201 34202 34203 34204 34205 34206 34207 34208 34209 34210 34211 34212 34213 34214 34215 34216 34217 34218 34219 34220 34221 34222 34223 34224 34225 34226 34227 34228 34229 34230 34231 34232 34233 34234 34235 34236 34237 34238 34239 34240 34241 34242 34243 34244 34245 34246 34247 34248 34249 34250 34251 34252 34253 34254 34255 34256 34257 34258 34259 34260 34261 34262 34263 34264 34265 34266 34267 34268 34269 34270 34271 34272 34273 34274 34275 34276 34277 34278 34279 34280 34281 34282 34283 34284 34285 34286 34287 34288 34289 34290 34291 34292 34293 34294 34295 34296 34297 34298 34299 34300 34301 34302 34303 34304 34305 34306 34307 34308 34309 34310 34311 34312 34313 34314 34315 34316 34317 34318 34319 34320 34321 34322 34323 34324 34325 34326 34327 34328 34329 34330 34331 34332 34333 34334 34335 34336 34337 34338 34339 34340 34341 34342 34343 34344 34345 34346 34347 34348 34349 34350 34351 34352 34353 34354 34355 34356 34357 34358 34359 34360 34361 34362 34363 34364 34365 34366 34367 34368 34369 34370 34371 34372 34373 34374 34375 34376 34377 34378 34379 34380 34381 34382 34383 34384 34385 34386 34387 34388 34389 34390 34391 34392 34393 34394 34395 34396 34397 34398 34399 34400 34401 34402 34403 34404 34405 34406 34407 34408 34409 34410 34411 34412 34413 34414 34415 34416 34417 34418 34419 34420 34421 34422 34423 34424 34425 34426 34427 34428 34429 34430 34431 34432 34433 34434 34435 34436 34437 34438 34439 34440 34441 34442 34443 34444 34445 34446 34447 34448 34449 34450 34451 34452 34453 34454 34455 34456 34457 34458 34459 34460 34461 34462 34463 34464 34465 34466 34467 34468 34469 34470 34471 34472 34473 34474 34475 34476 34477 34478 34479 34480 34481 34482 34483 34484 34485 34486 34487 34488 34489 34490 34491 34492 34493 34494 34495 34496 34497 34498 34499 34500 34501 34502 34503 34504 34505 34506 34507 34508 34509 34510 34511 34512 34513 34514 34515 34516 34517 34518 34519 34520 34521 34522 34523 34524 34525 34526 34527 34528 34529 34530 34531 34532 34533 34534 34535 34536 34537 34538 34539 34540 34541 34542 34543 34544 34545 34546 34547 34548 34549 34550 34551 34552 34553 34554 34555 34556 34557 34558 34559 34560 34561 34562 34563 34564 34565 34566 34567 34568 34569 34570 34571 34572 34573 34574 34575 34576 34577 34578 34579 34580 34581 34582 34583 34584 34585 34586 34587 34588 34589 34590 34591 34592 34593 34594 34595 34596 34597 34598 34599 34600 34601 34602 34603 34604 34605 34606 34607 34608 34609 34610 34611 34612 34613 34614 34615 34616 34617 34618 34619 34620 34621 34622 34623 34624 34625 34626 34627 34628 34629 34630 34631 34632 34633 34634 34635 34636 34637 34638 34639 34640 34641 34642 34643 34644 34645 34646 34647 34648 34649 34650 34651 34652 34653 34654 34655 34656 34657 34658 34659 34660 34661 34662 34663 34664 34665 34666 34667 34668 34669 34670 34671 34672 34673 34674 34675 34676 34677 34678 34679 34680 34681 34682 34683 34684 34685 34686 34687 34688 34689 34690 34691 34692 34693 34694 34695 34696 34697 34698 34699 34700 34701 34702 34703 34704 34705 34706 34707 34708 34709 34710 34711 34712 34713 34714 34715 34716 34717 34718 34719 34720 34721 34722 34723 34724 34725 34726 34727 34728 34729 34730 34731 34732 34733 34734 34735 34736 34737 34738 34739 34740 34741 34742 34743 34744 34745 34746 34747 34748 34749 34750 34751 34752 34753 34754 34755 34756 34757 34758 34759 34760 34761 34762 34763 34764 34765 34766 34767 34768 34769 34770 34771 34772 34773 34774 34775 34776 34777 34778 34779 34780 34781 34782 34783 34784 34785 34786 34787 34788 34789 34790 34791 34792 34793 34794 34795 34796 34797 34798 34799 34800 34801 34802 34803 34804 34805 34806 34807 34808 34809 34810 34811 34812 34813 34814 34815 34816 34817 34818 34819 34820 34821 34822 34823 34824 34825 34826 34827 34828 34829 34830 34831 34832 34833 34834 34835 34836 34837 34838 34839 34840 34841 34842 34843 34844 34845 34846 34847 34848 34849 34850 34851 34852 34853 34854 34855 34856 34857 34858 34859 34860 34861 34862 34863 34864 34865 34866 34867 34868 34869 34870 34871 34872 34873 34874 34875 34876 34877 34878 34879 34880 34881 34882 34883 34884 34885 34886 34887 34888 34889 34890 34891 34892 34893 34894 34895 34896 34897 34898 34899 34900 34901 34902 34903 34904 34905 34906 34907 34908 34909 34910 34911 34912 34913 34914 34915 34916 34917 34918 34919 34920 34921 34922 34923 34924 34925 34926 34927 34928 34929 34930 34931 34932 34933 34934 34935 34936 34937 34938 34939 34940 34941 34942 34943 34944 34945 34946 34947 34948 34949 34950 34951 34952 34953 34954 34955 34956 34957 34958 34959 34960 34961 34962 34963 34964 34965 34966 34967 34968 34969 34970 34971 34972 34973 34974 34975 34976 34977 34978 34979 34980 34981 34982 34983 34984 34985 34986 34987 34988 34989 34990 34991 34992 34993 34994 34995 34996 34997 34998 34999 35000 35001 35002 35003 35004 35005 35006 35007 35008 35009 35010 35011 35012 35013 35014 35015 35016 35017 35018 35019 35020 35021 35022 35023 35024 35025 35026 35027 35028 35029 35030 35031 35032 35033 35034 35035 35036 35037 35038 35039 35040 35041 35042 35043 35044 35045 35046 35047 35048 35049 35050 35051 35052 35053 35054 35055 35056 35057 35058 35059 35060 35061 35062 35063 35064 35065 35066 35067 35068 35069 35070 35071 35072 35073 35074 35075 35076 35077 35078 35079 35080 35081 35082 35083 35084 35085 35086 35087 35088 35089 35090 35091 35092 35093 35094 35095 35096 35097 35098 35099 35100 35101 35102 35103 35104 35105 35106 35107 35108 35109 35110 35111 35112 35113 35114 35115 35116 35117 35118 35119 35120 35121 35122 35123 35124 35125 35126 35127 35128 35129 35130 35131 35132 35133 35134 35135 35136 35137 35138 35139 35140 35141 35142 35143 35144 35145 35146 35147 35148 35149 35150 35151 35152 35153 35154 35155 35156 35157 35158 35159 35160 35161 35162 35163 35164 35165 35166 35167 35168 35169 35170 35171 35172 35173 35174 35175 35176 35177 35178 35179 35180 35181 35182 35183 35184 35185 35186 35187 35188 35189 35190 35191 35192 35193 35194 35195 35196 35197 35198 35199 35200 35201 35202 35203 35204 35205 35206 35207 35208 35209 35210 35211 35212 35213 35214 35215 35216 35217 35218 35219 35220 35221 35222 35223 35224 35225 35226 35227 35228 35229 35230 35231 35232 35233 35234 35235 35236 35237 35238 35239 35240 35241 35242 35243 35244 35245 35246 35247 35248 35249 35250 35251 35252 35253 35254 35255 35256 35257 35258 35259 35260 35261 35262 35263 35264 35265 35266 35267 35268 35269 35270 35271 35272 35273 35274 35275 35276 35277 35278 35279 35280 35281 35282 35283 35284 35285 35286 35287 35288 35289 35290 35291 35292 35293 35294 35295 35296 35297 35298 35299 35300 35301 35302 35303 35304 35305 35306 35307 35308 35309 35310 35311 35312 35313 35314 35315 35316 35317 35318 35319 35320 35321 35322 35323 35324 35325 35326 35327 35328 35329 35330 35331 35332 35333 35334 35335 35336 35337 35338 35339 35340 35341 35342 35343 35344 35345 35346 35347 35348 35349 35350 35351 35352 35353 35354 35355 35356 35357 35358 35359 35360 35361 35362 35363 35364 35365 35366 35367 35368 35369 35370 35371 35372 35373 35374 35375 35376 35377 35378 35379 35380 35381 35382 35383 35384 35385 35386 35387 35388 35389 35390 35391 35392 35393 35394 35395 35396 35397 35398 35399 35400 35401 35402 35403 35404 35405 35406 35407 35408 35409 35410 35411 35412 35413 35414 35415 35416 35417 35418 35419 35420 35421 35422 35423 35424 35425 35426 35427 35428 35429 35430 35431 35432 35433 35434 35435 35436 35437 35438 35439 35440 35441 35442 35443 35444 35445 35446 35447 35448 35449 35450 35451 35452 35453 35454 35455 35456 35457 35458 35459 35460 35461 35462 35463 35464 35465 35466 35467 35468 35469 35470 35471 35472 35473 35474 35475 35476 35477 35478 35479 35480 35481 35482 35483 35484 35485 35486 35487 35488 35489 35490 35491 35492 35493 35494 35495 35496 35497 35498 35499 35500 35501 35502 35503 35504 35505 35506 35507 35508 35509 35510 35511 35512 35513 35514 35515 35516 35517 35518 35519 35520 35521 35522 35523 35524 35525 35526 35527 35528 35529 35530 35531 35532 35533 35534 35535 35536 35537 35538 35539 35540 35541 35542 35543 35544 35545 35546 35547 35548 35549 35550 35551 35552 35553 35554 35555 35556 35557 35558
|
From MAILER-DAEMON Mon Aug 01 05:37:18 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1DzWjV-0001CN-Ug
for mharc-axiom-developer@gnu.org; Mon, 01 Aug 2005 05:37:18 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1DzWiJ-0000kz-BW
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 05:36:03 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1DzWiG-0000kB-Sg
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 05:36:02 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1DzWhw-0000Pw-J4
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 05:35:41 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1DzWfm-0000Lg-S5
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 05:33:27 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j719Krwl012278;
Mon, 1 Aug 2005 04:20:53 -0500
From: mathaction@axiom-developer.org (Themos Tsikas)
To: mathaction@axiom-developer.org
Message-ID: <200508010936.45550.themos@nag.co.uk>
In-reply-to: <1122747278.3699.0.camel@localhost.localdomain>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 01 Aug 2005 04:20:53 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] Re: input initialization file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 01 Aug 2005 09:36:04 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Hello
In your axiom.input file add the line
)set message prompt frame
as the first line
You will see that the axiom.input definitions belong to the "initial" but you
are offered a prompt belonging to a new frame.
Give the command ")frame" to read about frames. To switch back to the frame
that your axiom.input definitions are in, issue ")frame drop" interactively.
What's happening is that AXIOMsys stays with the first "initial" frame but
"axiom" starts a client process ("AXIOMsys" + "spadclient") for which
AXIOMsys makes a new frame.
Best Regards
Themos Tsikas
PS. All this applies to the NAG version of axiom but it may well apply to the
version you have.
________________________________________________________________________
This e-mail has been scanned for all viruses by Star. The
service is powered by MessageLabs. For more information on a proactive
anti-virus service working around the clock, around the globe, visit:
http://www.star.net.uk
________________________________________________________________________
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg200508010936.45550.themos@nag.co.uk
From MAILER-DAEMON Mon Aug 01 20:05:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1DzkIA-0006fy-Hl
for mharc-axiom-developer@gnu.org; Mon, 01 Aug 2005 20:05:58 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1DzkGw-0006HM-AN
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 20:04:42 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1DzkGe-0006A1-Ig
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 20:04:26 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1DzkGe-00066y-FD
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 20:04:24 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1DzkNa-0005l6-Hn
for axiom-developer@nongnu.org; Mon, 01 Aug 2005 20:11:34 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j71Nwgwl019625;
Mon, 1 Aug 2005 18:58:42 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050801185838-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 01 Aug 2005 18:58:40 -0500
Cc:
Subject: [Axiom-developer] [mirrors]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 02 Aug 2005 00:05:56 -0000
Changes http://page.axiom-developer.org/zope/mathaction/Mirrors/diff
--
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Mirrors#msg20050801185838-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 04:03:10 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E22bF-0005QN-Q9
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 04:03:10 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E22bC-0005M5-9p
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 04:03:06 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E22Yn-0004Vx-Uy
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 04:00:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E22Yj-0004MS-4r
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 04:00:33 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E22ZU-00083x-7Z
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 04:01:20 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j787kuwl016370;
Mon, 8 Aug 2005 02:46:56 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050808024653-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 02:46:55 -0500
Cc:
Subject: [Axiom-developer] [GraphViz] dummy
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 08 Aug 2005 08:03:07 -0000
Changes http://page.axiom-developer.org/zope/mathaction/GraphViz/diff
--
\begin{latex}
\digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c}
\end{latex}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/GraphViz#msg20050808024653-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 10:38:44 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E28m4-0001He-6Q
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 10:38:44 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E28m1-0001Gk-Pe
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 10:38:41 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E28lz-0001FZ-N0
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 10:38:41 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E28lz-0001El-5J
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 10:38:39 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E28ue-0004VL-0n
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 10:47:36 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j78EXEwl017980;
Mon, 8 Aug 2005 09:33:14 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050808093313-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 09:33:14 -0500
Cc:
Subject: [Axiom-developer] [GraphViz] dummx
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 08 Aug 2005 14:38:42 -0000
Changes http://page.axiom-developer.org/zope/mathaction/GraphViz/diff
--
\begin{latex}
\digraph[scale=1.5]{MyGraph1}{rankdir=LR; a->b; b->c}
\end{latex}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/GraphViz#msg20050808093313-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 12:33:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2AZV-0002JD-76
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 12:33:53 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2AZK-0002FD-Ne
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 12:33:43 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2AZD-0002By-Si
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 12:33:37 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2AZD-0002BR-9e
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 12:33:35 -0400
Received: from [68.142.201.182] (helo=web31702.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E2AgJ-00045V-Rq
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 12:40:56 -0400
Received: (qmail 64812 invoked by uid 60001); 8 Aug 2005 16:26:43 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=KrMmYRTORg/9iXHUJxUEgs3ohTGqKY4funSOVclPq725FqNLtUVhZGMk/OtKQpQmmvNyd3wqQ1mviKMgS3grRxUNH9HYGqa5dE0e+w8eIhO7hbUl9LkoWMFmKFwqU08KvIPrQlaQ6u/daeVB3/edWbA/UW7rv8f2ngIc3e4TDCs=
;
Message-ID: <20050808162643.64810.qmail@web31702.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31702.mail.mud.yahoo.com via HTTP;
Mon, 08 Aug 2005 09:26:43 PDT
Date: Mon, 8 Aug 2005 09:26:43 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
To: daly <mathaction@axiom-developer.org>, axiom-developer@nongnu.org
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc:
Subject: [Axiom-developer] Ideas for "next generation" CAS?
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 08 Aug 2005 16:33:47 -0000
Hey Tim. I recall some time back you mentioned some ideas you had for
a "proper" redesign of Axiom, incorporating proof systems and some
fundamental design philosophy considerations, among other things. Is
there a summary of those thoughts somewhere? I'm having some trouble
finding it in the archives.
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Mon Aug 08 13:30:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2BSQ-0002Sp-Kx
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 13:30:38 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2BSP-0002Ry-CO
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:30:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2BSN-0002R5-Ia
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:30:36 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2BQg-0001i6-08
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:28:50 -0400
Received: from [68.142.201.195] (helo=web31715.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E2BA0-0006WA-M2
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:11:37 -0400
Received: (qmail 836 invoked by uid 60001); 8 Aug 2005 16:57:24 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=N6kFhR1KABkX5vBnc8RlXgDffKbfwkVqOOxgwFQt2R/Dbw7R07jDV2s229IQmVm9Lsmpxq66YGhpB6HwVZSWBVo+Ecz1IOmyq3oPRdTkt7Mhf7Skqp+H/UH627TtjmsIUvONoAn+CNfOdfEqp2l6mBhPX2DA/a98xsTJqdukV28=
;
Message-ID: <20050808165724.834.qmail@web31715.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31715.mail.mud.yahoo.com via HTTP;
Mon, 08 Aug 2005 09:57:24 PDT
Date: Mon, 8 Aug 2005 09:57:24 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Ideas for "next generation" CAS?
To: C Y <smustudent1@yahoo.com>, daly <mathaction@axiom-developer.org>,
axiom-developer@nongnu.org
In-Reply-To: <20050808162643.64810.qmail@web31702.mail.mud.yahoo.com>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 08 Aug 2005 17:30:37 -0000
In that same vein, does anybody know anything about this effort?
http://www.cs.cornell.edu/Info/Projects/NuPrl/
"The Nuprl proof development system is a framework for the development
of formalized mathematical knowledge as well as for the synthesis,
verification, and optimization of software. It is based on a
significant extension of Martin-Lof's intuitionistic Type Theory
[ML84]..."
Downloadable here:
http://www.cs.cornell.edu/Info/Projects/NuPrl/html/NuprlSystem.html
Cheers,
CY
--- C Y <smustudent1@yahoo.com> wrote:
> Hey Tim. I recall some time back you mentioned some ideas you had
> for
> a "proper" redesign of Axiom, incorporating proof systems and some
> fundamental design philosophy considerations, among other things. Is
> there a summary of those thoughts somewhere? I'm having some trouble
> finding it in the archives.
>
> Cheers,
> CY
>
>
>
> ____________________________________________________
> Start your day with Yahoo! - make it your home page
> http://www.yahoo.com/r/hs
>
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
>
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Mon Aug 08 13:30:53 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2BSf-0002ZC-F3
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 13:30:53 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2BSe-0002YT-2G
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:30:52 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2BSc-0002Xh-C3
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:30:51 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2BQf-0001lT-M0
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:28:49 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2BAF-0006Wi-1Q
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:11:51 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j78GvVwl021104;
Mon, 8 Aug 2005 11:57:31 -0500
From: mathaction@axiom-developer.org (C Y)
To: mathaction@axiom-developer.org
Subject: [Axiom-developer] Ideas for "next generation" CAS?
Message-ID: <20050808165724.834.qmail@web31715.mail.mud.yahoo.com>
In-reply-to: <20050808162643.64810.qmail@web31702.mail.mud.yahoo.com>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 11:57:31 -0500
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 08 Aug 2005 17:30:52 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomDeveloper/diff
--
In that same vein, does anybody know anything about this effort?
http://www.cs.cornell.edu/Info/Projects/NuPrl/
"The Nuprl proof development system is a framework for the development
of formalized mathematical knowledge as well as for the synthesis,
verification, and optimization of software. It is based on a
significant extension of Martin-Lof's intuitionistic Type Theory
[ML84]..."
Downloadable here:
http://www.cs.cornell.edu/Info/Projects/NuPrl/html/NuprlSystem.html
Cheers,
CY
--- C Y <smustudent1@yahoo.com> wrote:
> Hey Tim. I recall some time back you mentioned some ideas you had
> for
> a "proper" redesign of Axiom, incorporating proof systems and some
> fundamental design philosophy considerations, among other things. Is
> there a summary of those thoughts somewhere? I'm having some trouble
> finding it in the archives.
>
> Cheers,
> CY
>
>
>
> ____________________________________________________
> Start your day with Yahoo! - make it your home page
> http://www.yahoo.com/r/hs
>
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
>
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDeveloper#msg20050808165724.834.qmail@web31715.mail.mud.yahoo.com
From MAILER-DAEMON Mon Aug 08 13:38:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2Ba5-0006FH-7a
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 13:38:33 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2Ba2-0006D4-Iw
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:38:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2BZh-00067c-7b
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:38:27 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2BZg-0005vS-Ps
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:38:08 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2BhL-0008N9-NL
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 13:46:03 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j78HVfwl029382;
Mon, 8 Aug 2005 12:31:41 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050808123141-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 12:31:41 -0500
Cc:
Subject: [Axiom-developer] [GraphViz]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 08 Aug 2005 17:38:31 -0000
Changes http://page.axiom-developer.org/zope/mathaction/GraphViz/diff
--
??changed:
- \digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c}
- \digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c}
\digraph[scale=0.5]{MyGraph5}{rankdir=LR; a->b; b->c}
\digraph[scale=0.5]{MyGraph6}{rankdir=LR; a->b; b->c}
??changed:
-\digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c}
\digraph[scale=0.5]{MyGraph7}{rankdir=LR; a->b; b->c}
??changed:
-\digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c; c->d}
\digraph[scale=0.5]{MyGraph8}{rankdir=LR; a->b; b->c; c->d}
??changed:
-\digraph[scale=0.5]{MyGraph1}{rankdir=LR; a->b; b->c}
\digraph[scale=0.5]{MyGraph9}{rankdir=LR; a->b; b->c}
??changed:
- \digraph[scale=1.5]{MyGraph1}{rankdir=LR; a->b; b->c}
\digraph[scale=1.5]{MyGraph10}{rankdir=LR; a->b; b->c}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/GraphViz#msg20050808123141-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 20:36:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2I6f-0007yS-VO
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 20:36:38 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2I6U-0007sq-Mf
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:36:26 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2I6K-0007kk-B9
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:36:17 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2I6K-0007ka-6M
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:36:16 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2IGn-0007OZ-L3
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:47:05 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j790WCwl002827;
Mon, 8 Aug 2005 19:32:12 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050808193211-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 19:32:11 -0500
Cc:
Subject: [Axiom-developer] [Axiom Colloquium]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 00:36:31 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomColloquium/diff
--
++added:
- [Imitation As Complement]
other websites similar to MathAction
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomColloquium#msg20050808193211-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 20:43:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2IDg-0003LR-9d
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 20:43:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2IDc-0003J1-Ug
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:43:49 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2IDZ-0003Hc-NT
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:43:46 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2IDZ-0003HW-GP
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:43:45 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2IJL-0007oR-HE
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:49:43 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j790ZCwl003625;
Mon, 8 Aug 2005 19:35:13 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050808193510-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 19:35:12 -0500
Cc:
Subject: [Axiom-developer] [Imitation As Complement] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 00:43:50 -0000
Changes http://page.axiom-developer.org/zope/mathaction/ImitationAsComplement/diff
--
MaplePrimes
A new website: http://beta.mapleprimes.com has been created to offer a moderated community for Maple users to communicate and share techniques with each other. This is a great place for all Maple users to interact and share their work.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/ImitationAsComplement#msg20050808193510-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 20:44:27 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2IEF-0003WN-EK
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 20:44:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2IDn-0003O2-Ur
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:44:01 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2IDg-0003LC-QI
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:43:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2IDf-0003HW-TV
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:43:51 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2IJw-0007wx-6l
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 20:50:20 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j790Zqwl003709;
Mon, 8 Aug 2005 19:35:52 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050808193551-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 19:35:52 -0500
Cc:
Subject: [Axiom-developer] [MaplePrimes] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 00:44:07 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MaplePrimes/diff
--
Two of the most significant features of MaplePrimes are moderated forums and weblogs (blogs).
The forums function much like comp.soft-sys.math.maple and other public Maple forums, where people can post their questions and have them answered by the community. The difference is that the MaplePrimes forums will be monitored and moderated by Maplesoft selected community members. And for questions that the user community cannot answer, Maplesoft developers will be there to help as well.
The blogs allow any user to share their experiences with Maple and mathematics. MaplePrimes provides a place where like minded people can show off their latest findings, share Maple procedures or chat about their favorite theorems. This is a great place for Maple application authors to share what they are working on and to get instant user feedback.
Throughout the site, many special features are available. The most interesting is the ability to post mathematics in 2D notation like you would find in a textbook. It is as easy as either entering MathML or the Maple syntax for the math you want to appear.
Overall, we would like MaplePrimes to become the first complete Mathematical portal. MaplePrimes should allow anyone with any Math knowledge get help and share what they find. We have a number of ideas in development that will add to this.
Please go and check it out at http://beta.mapleprimes.com I hope that you will find the site to be very useful and come back to visit often.
Based on email from::
William Spaetzel
Application Developer
Market Development
Maplesoft
wspaetzel@maplesoft.com
519-747-2373x338
http://www.maplesoft.com
http://beta.mapleprimes.com
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MaplePrimes#msg20050808193551-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 21:29:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2Ivy-0008Ac-A7
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 21:29:38 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2Ivp-00087O-3P
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:29:29 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2Ivc-00080P-Ti
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:29:18 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2Ivc-0007wy-CB
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:29:16 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2Iys-0002HY-Hb
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:32:38 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j791I9wl014844;
Mon, 8 Aug 2005 20:18:09 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050808201809-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 20:18:09 -0500
Cc:
Subject: [Axiom-developer] [other Computer Algebra systems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 01:29:31 -0000
Changes http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems/diff
--
??changed:
-Maxima
-Yacas
-Maple
-Mathematica
-MathCAD
-
-
Someday (maybe) we will also include online access to
other systems such as:
Open Source Systems
Maxima
Yacas
Commercial Systems
Maple
Mathematica
MathCAD
--
forwarded from http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems#msg20050808201809-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 21:32:12 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2IyR-0000bY-VS
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 21:32:12 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2IyQ-0000aE-42
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:32:10 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2IyN-0000ZG-UZ
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:32:08 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2IyN-0000Yp-PP
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:32:07 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2J8x-0002ml-VT
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:43:04 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j791SYwl017931;
Mon, 8 Aug 2005 20:28:34 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050808202834-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 20:28:34 -0500
Cc:
Subject: [Axiom-developer] [FrontPage]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 01:32:10 -0000
Changes http://www.axiom-developer.org/zope/mathaction/FrontPage/diff
--
??changed:
-<td onclick="window.self.location='http://page.axiom-developer.org/zope/mathaction/FrontPage/searchwiki'">
<td onclick="window.self.location='http:/zope/mathaction/FrontPage/searchwiki'">
??changed:
-To "search":http://page.axiom-developer.org/zope/mathaction/FrontPage/searchwiki
To "search":http:/zope/mathaction/FrontPage/searchwiki
??changed:
-"please report it":http://page.axiom-developer.org/zope/mathaction/FrontPage/issuetracker
"please report it":http:/zope/mathaction/FrontPage/issuetracker
??changed:
-<tr><td onclick="window.self.location='http://page.axiom-developer.org/zope/mathaction/SandBox'">
<tr><td onclick="window.self.location='http:/zope/mathaction/SandBox'">
??changed:
-<tr><td onclick="window.self.location='http://page.axiom-developer.org/zope/mathaction/aboutAxiom'">
<tr><td onclick="window.self.location='http:/zope/mathaction/aboutAxiom'">
??changed:
-"Axiom book":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://page.axiom-developer.org/zope/Plone/refs/books/axiom-book2.pdf&it=Axiom+book
"Axiom book":http:/zope/mathaction/Mirrors?go=http:/zope/Plone/refs/books/axiom-book2.pdf&it=Axiom+book
??changed:
-<tr><td onclick="window.self.location='http://page.axiom-developer.org/zope/mathaction/theAxiomCommunity'">
<tr><td onclick="window.self.location='http:/zope/mathaction/theAxiomCommunity'">
??changed:
-<a href="http://page.axiom-developer.org/zope/mathaction/theAxiomCommunity">Axiom Community</a>
<a href="/zope/mathaction/theAxiomCommunity">Axiom Community</a>
??changed:
-<IMG align="middle" src="http://page.axiom-developer.org/seal_small_transparent.png" alt="The CAISS seal">
<IMG align="middle" src="/seal_small_transparent.png" alt="The CAISS seal">
??changed:
-<a href="http://page.axiom-developer.org/zope/mathaction/FrontPage/editform">
<a href="/zope/mathaction/FrontPage/editform">
--removed:
-
-From unknown Thu Jul 21 19:47:13 -0500 2005
-From: unknown
-Date: Thu, 21 Jul 2005 19:47:13 -0500
-Subject:
-Message-ID: <20050721194713-0500@page.axiom-developer.org>
-
-\theta \zeta ()
--
forwarded from http://www.axiom-developer.org/zope/mathaction/FrontPage#msg20050808202834-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 21:43:08 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2J91-00029l-Gh
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 21:43:07 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2J8w-00026K-Ob
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:43:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2J8t-00025J-AH
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:42:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2J8t-00024v-69
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:42:59 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2JFS-00039K-Im
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:49:46 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j791ZHwl019092;
Mon, 8 Aug 2005 20:35:17 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050808203517-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 20:35:17 -0500
Cc:
Subject: [Axiom-developer] [AxiomDownload] change to www.axiom-developer.org
as standard site name
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 01:43:05 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
??changed:
-sources":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-src.tgz&it=April+2005+Sources
sources":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-src.tgz&it=April+2005+Sources
??changed:
- * "February 2005 sources":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-20050201-src.tgz&it=February+2005+source+code
* "February 2005 sources":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-20050201-src.tgz&it=February+2005+source+code
??changed:
- (binary)":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-Redhat9-bin.tgz&it=RedHat+9+binary
(binary)":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-Redhat9-bin.tgz&it=RedHat+9+binary
??changed:
- (binary)":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-Redhat7.3-bin.tgz&it=RedHat+7.3+binary
(binary)":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-Redhat7.3-bin.tgz&it=RedHat+7.3+binary
??changed:
- - "Fedora Core 1 (binary)":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora1-bin.tgz&it=Fedora+Core+1+binary
- "Fedora Core 1 (binary)":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora1-bin.tgz&it=Fedora+Core+1+binary
??changed:
- (binary)":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora3-bin.tgz&it=Fedora+Core+3+binary
(binary)":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Feb2005-Fedora3-bin.tgz&it=Fedora+Core+3+binary
??changed:
- * "Windows version 0.1.4":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.4.exe&it=Windows+version+0.1.4 ${\bf\longleftarrow}$ **Recommended Download**
* "Windows version 0.1.4":http:/zope/mathaction/Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.4.exe&it=Windows+version+0.1.4 ${\bf\longleftarrow}$ **Recommended Download**
??changed:
- * "Windows version 0.1.3":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.3.exe&it=Windows+version+0.1.3
* "Windows version 0.1.3":http:/zope/mathaction/Mirrors?go=http://page.axiom-developer.org/axiom-windows-0.1.3.exe&it=Windows+version+0.1.3
??changed:
- * "Debian version":http://page.axiom-developer.org/zope/mathaction/Mirrors?go=http://packages.debian.org/testing/math/axiom.html&it=Debian+version
* "Debian version":http:/zope/mathaction/Mirrors?go=http://packages.debian.org/testing/math/axiom.html&it=Debian+version
??changed:
- above. You may use the "issues":http://page.axiom-developer.org/zope/mathaction/FrontPage/issuetracker
above. You may use the "issues":http:/zope/mathaction/FrontPage/issuetracker
??changed:
- 1 Download the "installer":http://page.axiom-developer.org/axiom-windows-0.1.3.exe
1 Download the "installer":http:/axiom-windows-0.1.3.exe
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050808203517-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 21:52:09 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2JHj-0005Mt-H3
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 21:52:07 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2JHQ-0005LW-1N
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:51:48 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2JHN-0005K8-5q
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:51:46 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2JHN-0005Jg-2u
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 21:51:45 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2JQu-0003i4-AZ
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 22:01:36 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j791l6wl021681;
Mon, 8 Aug 2005 20:47:06 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050808204706-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 08 Aug 2005 20:47:06 -0500
Cc:
Subject: [Axiom-developer] [mirrors] make www.axiom-developer the standard
website name
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 01:51:48 -0000
Changes http://www.axiom-developer.org/zope/mathaction/Mirrors/diff
--
??changed:
-href="http://page.axiom-developer.org/zope/mathaction/WishList"
href="http:/zope/mathaction/WishList"
??changed:
-href="http://page.axiom-developer.org/zope/mathaction/theAxiomCommunity"
href="http:/zope/mathaction/theAxiomCommunity"
??changed:
-href="http://page.axiom-developer.org/zope/mathaction/AxiomDocumentation"
href="http:/zope/mathaction/AxiomDocumentation"
??changed:
-href="http://page.axiom-developer.org/zope/mathaction/issuetracker"
href="http:/zope/mathaction/issuetracker"
??changed:
-href="http://page.axiom-developer.org/zope/mathaction/AxiomPromotion"
href="http:/zope/mathaction/AxiomPromotion"
--
forwarded from http://www.axiom-developer.org/zope/mathaction/Mirrors#msg20050808204706-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 08 22:04:39 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2JTr-0000Q0-AH
for mharc-axiom-developer@gnu.org; Mon, 08 Aug 2005 22:04:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2JTp-0000Nf-Ks
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 22:04:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2JTo-0000MY-FL
for axiom-developer@nongnu.org; Mon, 08 Aug 2005 22:04:37 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43)
id 1E2JTl-0000KX-BZ; Mon, 08 Aug 2005 22:04:33 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34)
id 1E2JbD-0004Gf-TW; Mon, 08 Aug 2005 22:12:16 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j791vmwl024281;
Mon, 8 Aug 2005 20:57:48 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j791vmVG024278;
Mon, 8 Aug 2005 20:57:48 -0500
Date: Mon, 8 Aug 2005 20:57:48 -0500
Message-Id: <200508090157.j791vmVG024278@axiom-developer.org>
To: smustudent1@yahoo.com
Cc: axiom-developer@nongnu.org, axiom-math@nongnu.org
Subject: [Axiom-developer] Ideas for "next generation" CAS
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 02:04:38 -0000
CY,
re: published summary of thoughts.
not really. it's an evolving idea. my current thinking on the subject
revolves around the "30 year horizon" and the "petamachine question".
in 30 years a researcher will have a machine with a Thz of cpu, a
TByte of storage, a PetaByte of disk space, and a Thz of bandwidth
(the so-called petamachine). they'll have access to all previously
published literature and real-time access to currently written
materials flowing past on the connection, sort of a Napster version of
science. so what kind of software is needed to do research?
clearly today's methods of building software cannot scale. if we
project axiom into this future situation and scale it by a factor of
100 we get 300 million lines of source, 110,000 domains, 1.1 million
functions, etc. i believe that axiom can scale much better than any
commercially available system because it is built on a better basis
(category theory). unfortunately while the theory will scale the
current system will not.
why? many reasons. and as we think of them (this is nowhere near a
complete list of the things worth mentioning but time is short and
this margin is narrow :-) ) we need to develop research efforts to
attack these problems. even more unfortunately there is no support
for research at such fundamental levels anymore. (but we can still
do research without support)
consider what axiom "suggests" in its current form. if you look at the
inside cover of the axiom book or in src/doc/endpapers.pamphlet you'll
see an organization of the mathematics and data structures. this
raises several questions worth exploring.
(a) is there a good graph of the categorical structure of math?
(good w.r.t to the computational critera). we need a research
effort to develop a classification scheme and a graph.
(b) axiom creates categories which exist for computational reasons,
such as RNG, but which are not reflected in non-computational
math. we need to investigate the properties of RNG to either
eliminate it or develop its axiomatic basis.
(c) each of the categories, such as MONOID, have associated axioms.
we need to "decorate" the categories with these axiom to provide
a connection to the proof systems.
(d) we need to examine the complete matrix of all of the
(category x category) and examine each function to ensure that
it exists in the most general form as well as specific versions.
this opens up whole research vistas of computational mathematics
looking for specific algorithms that are more efficient than the
general purpose case. given enough general vs specific examples
we could develop theory that defines the classes of optimization
and let the machine generate specific algorithms in real time.
(e) given categories decorated with their axioms and program-proof
machinery we can look at the functions in each domain and begin
to construct proofs for these functions. i believe that we could
do this "in the small" with early categories (such as MONOID)
using ACL2 (which is in lisp and can be loaded into an axiom
image). only a lack of free time has stopped me from doing this.
(f) we can look at specific functions from a domain in a category and
we can write the pre- and post-conditions. once we collect these
into a catalog then systems like THEOREMA (Buchberger) can
search the catalog for algorithms that "logically cover" the
constraints. this would allow THEOREMA to dynamically discover
that the needed algorithm is actually "sort" or "log" and that
axiom provides it.
PROGRAM PROOF
when we extend the ideas above and worry about the software scaling
issues it becomes clear that we need to research ways to develop
scientific algorithms from first principles. that is, we need to have
a way to specify a needed algorithm and let the machine derive a
complete, correct, valid, and verified program, possibly using logic
extended with programming constraints and technique libraries and
extensions of ACL2 toward generative rather than proof techniques.
in general this is too hard but within the axiom framework it might
be possible. since each function lives within a domain within a
category and the domain and range of the function can be well specified
it might be possible to develop a language for algorithm specification.
i'd like to work on developing a set of group theory algorithms that
were automatically generated from the axiom category, domain, and
functional constraints.
proceeding in this way we can think of constructing a new axiom
library (and associated interpreter/compiler) that is provably
correct. i feel that the current method of developing software must
eventually give way to this kind of technique since it is vitally
important that we can trust the correctness of the computational
mathematics.
LITERATE PROGRAMMING (Doyen)
lets move to another level of research for computational math.
currently papers are published that give algorithms in computational
mathematics. however they do not publish the actual code with the
paper. to me this is like publishing a theorem without showing the
proof. we need to change this for several reasons. ideally we should
be able to go to a conference, attend a talk, drag-and-drop the paper
from a URL and have the running algorithm and associated documentation
automatically added to our local copy of axiom.
there are some efforts on this. i've started the Doyen project
(http://sourceforge.net/projects/doyencd)
which will be a bootable CD where you will be able to do this
drag-and-drop kind of additions to science software. Carlo Traverso
at the Univ. of Pisa is trying to start a "literate journal" that
will include source code with published papers. the ACM has been
publishing the ISSAC proceedings on CD for the past two years which
includes software (but not yet literate programs).
we are computational mathematicians and we need to publish our code.
we need to develop review standards. we need to develop code proof
requirements, termination proofs, complexity statements, code
portability standards, etc. i have permission to use a few papers
that have been published as examples of these "standards". these
will be in axiom as soon as i get the actual programs able to be
"dragged and dropped" onto the Doyen version of axiom.
given the complexity of building, maintaining, and expanding
a system as large as axiom we need to intimately combine the
theory and the code into a literate form. otherwise the expertise
that created the code will die off and we won't be able to maintain
such systems in the future. the previous generation of researchers
have begun to retire or die and all of that expertise is lost.
SCIENCE PLATFORM (Crystal)
we currently do science in arbitrary piles (math, chemistry, physics,
engineering, etc). computational science crosses all of those boundaries.
we need to develop a science platform that can present the algorithms
to the researcher "thru a facet" that makes them seem like special cases.
for example, crystallography algorithms are mostly group theory. the
group theory algorithms should be presented to the crystallographer in
a language they understand even though the underlying algorithms are
the same as used elsewhere (say in particle physics). so there have to
be ways to customize the display of the information to match the person
who is doing the research. the "model" of the researcher and the "model"
of the problem need to be integrated so the system can maintain the
"intensional stance" (the way the system molds itself to the researcher
and the current problem under study). this "stance" is actually a
layer between the problem (the semantic net) and the interaction
(the crystal) mentioned below.
consider that all of the published science could now be put on a single
hard drive (except for copyright issues). each researcher could start
with this copy. since the science platform is net-connected and new
papers are being published constantly we need to develop technology
to keep the information in some common form. there are hints of ways
to do this (see http://www.research.ibm.com/UIMA) but we need to
stretch the bounds further. the meaning of the terms in the paper
need to be represented and extracted. the meaning of the paper needs
to be represented and extracted. all of these various levels of meaning
and their associations need to be represented. my current thinking is
to extend latex with a new set of semantic markup tools ("semtex?")
so that ideas, terms, definitions, etc can have explicit markup.
there is a technology for knowledge representation (see
http://lists.gnu.org/archives/html/axiom-developer/2003-12/msg00071.html)
that uses a "semantic network" as the primary representation. i'd like
to have a KROPS-like representation as the center of the problem.
research needs to be done to extend the dual OPS5-KREP techniques.
dragging these issues together we get the "crystal" idea. think of
the "problem" that the researcher is working on as a semantic graph
hanging in space. surround the graph with a crystal with many facets.
each facet represents a view (actually, a view-controller in the
"model-view-controller" sense). one "facet" view might show an annotated
bibliography related to the problem. another facet might show the literate
program. another facet might be a graph of one of the functions in the
problem. another faceet might be a 3D solid model of the topological
space (math), or the bridge under construction (eng), or the molecule
(biochem). changes done in one view are globally reflected since the
semantic net is changed. changes cause automatic literature searches
(we have cpu to spare) and the system can suggest related literature.
based on feedback to the suggestions new literature is filtered (thus
the "intensional stance" of the researcher for this problem is modeled).
so developing a prototype of the crystal idea is a key research project,
at least on my version of the 30 year horizon critical path.
nobody has the political will to fund such long-term research so the
only possible way to develop this technology is thru open
source. axiom was funded for 23 years and is an amazing program. we
need to spend much more time and effort to meet the needs of the
researcher in 2035. computational math, unlike any other software,
generates timeless software. the integral of "sin(x)" will still be
the same in 30 years.
there is much more and i really ought to put together a talk about it
at some point. perhaps once the doyen project works so i can demonstrate
the ideas.
we really should have a debate about what the future researcher needs
and how use future computers to cope with the information explosion.
if you want more comments or specific details of my local projects
(like DOYEN, or KROPS, or CATS) just post on this list.
hope this is useful to you.
t
From MAILER-DAEMON Tue Aug 09 04:46:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2Pl8-00078m-4O
for mharc-axiom-developer@gnu.org; Tue, 09 Aug 2005 04:46:55 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2Pkr-00077l-33
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 04:46:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2Pkf-00077C-8L
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 04:46:27 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2PZx-0006eq-KP
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 04:35:24 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2Pkj-0008Vr-28
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 04:46:29 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j798Vjwl024086;
Tue, 9 Aug 2005 03:31:45 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050809033145-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 09 Aug 2005 03:31:45 -0500
Cc:
Subject: [Axiom-developer] [build Axiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 08:46:45 -0000
Changes http://www.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--
??changed:
-directory. If you have trouble compiling, "search here":searchwiki or the
directory. If you have trouble compiling, "search here":http:/zope/mathaction/FrontPage/searchwiki or the
--
forwarded from http://www.axiom-developer.org/zope/mathaction/BuildAxiom#msg20050809033145-0500@www.axiom-developer.org
From MAILER-DAEMON Tue Aug 09 06:04:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2Qxz-0001Uf-5a
for mharc-axiom-developer@gnu.org; Tue, 09 Aug 2005 06:04:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2Qxt-0001S7-TB
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:04:10 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2Qxp-0001Qn-9v
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:04:08 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2Qxp-0001QQ-03
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:04:05 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2R8G-0006P1-GF
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:14:52 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j79A0Rwl012730;
Tue, 9 Aug 2005 05:00:27 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050809050024-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 09 Aug 2005 05:00:27 -0500
Cc:
Subject: [Axiom-developer] [#196 )set functions compile on] (nouveau)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 10:04:12 -0000
Changes http://page.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn/diff
--
For some strange reason, without issuing
\begin{axiom}
)se fu co on
\end{axiom}
the following will not work and cause the interpreter to crash.
\begin{axiom}
f(xl: LIST FRAC INT): LIST FRAC INT == map(x +-> x, xl)
f [1,2,3]
\end{axiom}
The same problem was reported in a different context in bug #165
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn#msg20050809050024-0500@page.axiom-developer.org
From MAILER-DAEMON Tue Aug 09 06:34:45 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2RRU-0000aE-Ml
for mharc-axiom-developer@gnu.org; Tue, 09 Aug 2005 06:34:44 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2RRQ-0000ZZ-SK
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:34:41 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2RRP-0000Z2-9w
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:34:39 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2RRF-0008Uk-8m
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:34:29 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2RA9-0006gJ-HS
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 06:16:50 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j79A2Owl013508;
Tue, 9 Aug 2005 05:02:24 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050809050224-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 09 Aug 2005 05:02:24 -0500
Cc:
Subject: [Axiom-developer] [#196 )set functions compile on]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 10:34:42 -0000
Changes http://page.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn/diff
--
--removed:
-
??changed:
- )se fu co on
)se fu co on
??changed:
-
-the following will not work and cause the interpreter to crash.
the following will not work and cause the interpreter to crash:
??changed:
- f(xl: LIST FRAC INT): LIST FRAC INT == map(x +-> x, xl)
- f [1,2,3]
f(xl: LIST FRAC INT): LIST FRAC INT == map(x +-> x, xl)
f [1,2,3]
--removed:
-
--
forwarded from http://page.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn#msg20050809050224-0500@page.axiom-developer.org
From MAILER-DAEMON Tue Aug 09 09:32:47 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E2UDm-00017N-Tv
for mharc-axiom-developer@gnu.org; Tue, 09 Aug 2005 09:32:47 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E2UDi-000155-86
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 09:32:42 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E2UDd-00011v-2d
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 09:32:38 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E2UDa-0000zb-Ec
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 09:32:34 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E2UMc-00054K-Jj
for axiom-developer@nongnu.org; Tue, 09 Aug 2005 09:41:54 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j79DRIwl030748;
Tue, 9 Aug 2005 08:27:18 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050809082717-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 09 Aug 2005 08:27:17 -0500
Cc:
Subject: [Axiom-developer] [other Computer Algebra systems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 09 Aug 2005 13:32:43 -0000
Changes http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems/diff
--
??changed:
- Maxima
-
- Yacas
Maxima -- See: http://maxima.sourceforge.net
Yacas -- See: http://yacas.sourceforge.net/yacas.html
??changed:
- Maple
-
- Mathematica
-
- MathCAD
-
-
Maple -- See: MaplePrimes
Mathematica -- See: http://www.wolfram.com/products/mathematica/index.html
MathCAD -- See: http://www.mathsoft.com/solutions/calculation_management_suite/mathcad.asp
Mupad -- See: http://www.mupad.de
--
forwarded from http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems#msg20050809082717-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 11 00:31:05 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E34ie-0007uh-Uq
for mharc-axiom-developer@gnu.org; Thu, 11 Aug 2005 00:31:05 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E34id-0007u2-4y
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 00:31:03 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E34ic-0007ta-5h
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 00:31:02 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E34gN-0006dC-P7
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 00:28:43 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E34RM-0007yQ-7p
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 00:13:12 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id B029C667A2;
Wed, 10 Aug 2005 23:34:22 -0400 (EDT)
Received: from corporateex.drdc-rddc.gc.ca (unknown [131.136.1.77])
by fw.drenet.dnd.ca (_) with ESMTP id 326C766785;
Wed, 10 Aug 2005 23:34:21 -0400 (EDT)
Received: by CORPORATEEX with Internet Mail Service (5.5.2653.19)
id <Q2V3TZTD>; Wed, 10 Aug 2005 23:33:45 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC70D3596@Corporateex01.Corporate.drdc-rddc.gc.ca>
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: Camm Maguire <camm@enhanced.com>
Date: Wed, 10 Aug 2005 23:34:09 -0400
MIME-Version: 1.0
X-Mailer: Internet Mail Service (5.5.2653.19)
Content-Type: text/plain
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org, gcl-devel@gnu.org
Subject: [Axiom-developer] RE: [Gcl-devel] Version_2_7_0t5
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 11 Aug 2005 04:31:03 -0000
Camm,
On Wednesday, August 10, 2005 2:14 PM you wrote:
> ...
> Re: [Gcl-devel] Version_2_7_0t5
>
> Greetings! Small correction -- there is a minor issue remaining
> in t5 for axiom.
>
I am glad to hear that building Axiom (on Linux at least) with
gcl 2.7.0 is so close! :)
Tim has recently moved the Axiom source to Version_2_6_7pre which
builds Axiom on both Linux and windows. Are you still planning
to release an "official" gcl 2.6.7 ? If so, are there any more
features in the Version_2_7_0 series that can be easily, usefully
and portably back-ported to 2.6.7?
Regards,
Bill Page.
From MAILER-DAEMON Thu Aug 11 19:07:12 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3M8l-0003fi-Pw
for mharc-axiom-developer@gnu.org; Thu, 11 Aug 2005 19:07:11 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3M8i-0003eX-Em
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 19:07:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3M8f-0003dU-V2
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 19:07:07 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3M4l-0002bS-GN
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 19:03:03 -0400
Received: from [66.134.96.17] (helo=intech19.enhanced.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E3Lwu-00010p-Bc
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 18:54:57 -0400
Received: from camm by intech19.enhanced.com with local (Exim 3.35 #1 (Debian))
id 1E3LiF-00037h-00; Thu, 11 Aug 2005 18:39:47 -0400
To: bill.page1@sympatico.ca
Subject: Re: [Axiom-developer] RE: [Gcl-devel] Version_2_7_0t5
References: <1FFA4B6E1B01844FBF2C537A791A4AC70D3596@Corporateex01.Corporate.drdc-rddc.gc.ca>
From: Camm Maguire <camm@enhanced.com>
Date: 11 Aug 2005 18:39:47 -0400
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC70D3596@Corporateex01.Corporate.drdc-rddc.gc.ca>
Message-ID: <54irycm72k.fsf@intech19.enhanced.com>
Lines: 43
User-Agent: Gnus/5.09 (Gnus v5.9.0) Emacs/21.2
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 11 Aug 2005 23:07:09 -0000
My apologies to all for being so low on 2.6.7.
Take care,
"Page, Bill" <Bill.Page@drdc-rddc.gc.ca> writes:
> Camm,
>
> On Wednesday, August 10, 2005 2:14 PM you wrote:
> > ...
> > Re: [Gcl-devel] Version_2_7_0t5
> >
> > Greetings! Small correction -- there is a minor issue remaining
> > in t5 for axiom.
> >
>
> I am glad to hear that building Axiom (on Linux at least) with
> gcl 2.7.0 is so close! :)
>
> Tim has recently moved the Axiom source to Version_2_6_7pre which
> builds Axiom on both Linux and windows. Are you still planning
> to release an "official" gcl 2.6.7 ? If so, are there any more
> features in the Version_2_7_0 series that can be easily, usefully
> and portably back-ported to 2.6.7?
>
> Regards,
> Bill Page.
>
>
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
>
>
>
--
Camm Maguire camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens." -- Baha'u'llah
From MAILER-DAEMON Thu Aug 11 20:05:44 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3N3Q-0003AP-AF
for mharc-axiom-developer@gnu.org; Thu, 11 Aug 2005 20:05:44 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3N3G-00034z-TI
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:05:36 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3N39-000307-LD
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:05:30 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3N37-0002yT-Mg
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:05:25 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3NCL-0005cv-00
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:14:57 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7BNxkwl026415;
Thu, 11 Aug 2005 18:59:46 -0500
From: mathaction@axiom-developer.org (Ryan Krauss)
To: mathaction@axiom-developer.org
Message-ID: <42FBE41D.5090706@comcast.net>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 11 Aug 2005 18:59:46 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] \begin{axiom} latex on windows
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 12 Aug 2005 00:05:39 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
I found this example on the axiom-developer mailing list from about a
year ago:
\begin{axiom-input}
R1:=matrix([[cos a, sin a, 0],[-sin a, cos a, 0],[0, 0, 1]])
\end{axiom-input}
Next we define a rotation around the Y axis by a rotation angle of b
\begin{axiom-input}
R2:=matrix([[cos b, 0, -sin b],[0, 1, 0],[sin b, 0, cos b]])
\end{axiom-input}
The we compose them (order is important) to form the single
rotation equivalent to first rotating around X, then around
the new, displaced Y.
\begin{axiom-input}
R:=R1*R2
\end{axiom-input}
I would very much like to be able to write LaTeX documents like this on
Windows XP. Has anyone done this?
If not, I am a bit of a Python programmer and I was thinking one way to
make it work would be to have Python parse the tex file and take
whatever is between the \begin{axiom} and \end{axiom} statements and
create an input file for axiom with the output set by the file to go to
numbered .tex files. Python would then replace the \begin{axiom}...
with \begin{equation} \input{....###} (i.e. the output files from axiom).
But in order to make something like this work, Python needs to be able
to call axiom and tell it to run the script (and possibly close axiom
afterward). Is there a way to do this on Windows? Can it be done with
a dos command?
Is there an easier way?
Thanks for your thoughts,
Ryan
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg42FBE41D.5090706@comcast.net
From MAILER-DAEMON Thu Aug 11 20:36:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3NWl-0002Qv-By
for mharc-axiom-developer@gnu.org; Thu, 11 Aug 2005 20:36:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3NWg-0002PB-G8
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:35:59 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3NWZ-0002Kf-Pc
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:35:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3NWZ-0002K0-LB
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:35:51 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3Nfa-0007Sd-QK
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:45:10 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7C0Twwl000776;
Thu, 11 Aug 2005 19:29:58 -0500
From: mathaction@axiom-developer.org (Bob McElrath)
To: mathaction@axiom-developer.org
Message-ID: <20050812002337.GB30171@mcelrath.org>
In-reply-to: <42FBE41D.5090706@comcast.net>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 11 Aug 2005 19:29:58 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] \begin{axiom} latex on windows
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 12 Aug 2005 00:36:01 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Ryan Krauss [ryanfedora@comcast.net] wrote:
> I found this example on the axiom-developer mailing list from about a
> year ago:
>
> \begin{axiom-input}
> R1:=matrix([[cos a, sin a, 0],[-sin a, cos a, 0],[0, 0, 1]])
> \end{axiom-input}
> Next we define a rotation around the Y axis by a rotation angle of b
> \begin{axiom-input}
> R2:=matrix([[cos b, 0, -sin b],[0, 1, 0],[sin b, 0, cos b]])
> \end{axiom-input}
> The we compose them (order is important) to form the single
> rotation equivalent to first rotating around X, then around
> the new, displaced Y.
> \begin{axiom-input}
> R:=R1*R2
> \end{axiom-input}
>
> I would very much like to be able to write LaTeX documents like this on
> Windows XP. Has anyone done this?
The MathAction wiki
(http://page.axiom-developer.org/zope/mathaction/FrontPage)
allows documents like this. It runs on the zope server, and some code
pasted together by myself and Bill Page calls axiom on the server to
render the document.
Additionally the "pamphlet" format used natively by axiom supports
running axiom commands, using a similar syntax.
Finally, we are currently working on a more "worksheet" style interface,
and the first iteration I did was a modification of tiddlywiki
(http://www.tiddlywiki.com) to support axiom and jsMath. (it runs axiom
without a server using some javascript tricks in firefox) However this
will definitely not work on windows.
> If not, I am a bit of a Python programmer and I was thinking one way to
> make it work would be to have Python parse the tex file and take
> whatever is between the \begin{axiom} and \end{axiom} statements and
> create an input file for axiom with the output set by the file to go to
> numbered .tex files. Python would then replace the \begin{axiom}...
> with \begin{equation} \input{....###} (i.e. the output files from axiom).
The code is all python but does not run standalone, currently. Trivial
modifications could be made to make it run standalone.
> But in order to make something like this work, Python needs to be able
> to call axiom and tell it to run the script (and possibly close axiom
> afterward). Is there a way to do this on Windows? Can it be done with
> a dos command?
I can't comment on windows...
If you're interested in working on this, please join axiom-developer!
;)
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg20050812002337.GB30171@mcelrath.org
From MAILER-DAEMON Thu Aug 11 20:36:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3NXd-0002fk-5x
for mharc-axiom-developer@gnu.org; Thu, 11 Aug 2005 20:36:57 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3NXb-0002f2-Kr
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:36:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3NXa-0002eJ-Ij
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:36:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3NXa-0002eG-CU
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:36:54 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3Nid-0007iF-5c
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 20:48:19 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7C0X9wl001583;
Thu, 11 Aug 2005 19:33:09 -0500
From: mathaction@axiom-developer.org (Ryan Krauss)
To: mathaction@axiom-developer.org
Message-ID: <42FBED0C.2010600@comcast.net>
In-reply-to: <20050812002337.GB30171@mcelrath.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 11 Aug 2005 19:33:09 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] \begin{axiom} latex on windows
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 12 Aug 2005 00:36:55 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
I can't find any documentation on the pamphlet format. Can you tell me
where I can find out more?
Thanks,
Ryan
Bob McElrath wrote:
> Ryan Krauss [ryanfedora@comcast.net] wrote:
>
>>I found this example on the axiom-developer mailing list from about a
>>year ago:
>>
>> \begin{axiom-input}
>> R1:=matrix([[cos a, sin a, 0],[-sin a, cos a, 0],[0, 0, 1]])
>> \end{axiom-input}
>> Next we define a rotation around the Y axis by a rotation angle of b
>> \begin{axiom-input}
>> R2:=matrix([[cos b, 0, -sin b],[0, 1, 0],[sin b, 0, cos b]])
>> \end{axiom-input}
>> The we compose them (order is important) to form the single
>> rotation equivalent to first rotating around X, then around
>> the new, displaced Y.
>> \begin{axiom-input}
>> R:=R1*R2
>> \end{axiom-input}
>>
>>I would very much like to be able to write LaTeX documents like this on
>>Windows XP. Has anyone done this?
>
>
> The MathAction wiki
> (http://page.axiom-developer.org/zope/mathaction/FrontPage)
> allows documents like this. It runs on the zope server, and some code
> pasted together by myself and Bill Page calls axiom on the server to
> render the document.
>
> Additionally the "pamphlet" format used natively by axiom supports
> running axiom commands, using a similar syntax.
>
> Finally, we are currently working on a more "worksheet" style interface,
> and the first iteration I did was a modification of tiddlywiki
> (http://www.tiddlywiki.com) to support axiom and jsMath. (it runs axiom
> without a server using some javascript tricks in firefox) However this
> will definitely not work on windows.
>
>
>>If not, I am a bit of a Python programmer and I was thinking one way to
>>make it work would be to have Python parse the tex file and take
>>whatever is between the \begin{axiom} and \end{axiom} statements and
>>create an input file for axiom with the output set by the file to go to
>>numbered .tex files. Python would then replace the \begin{axiom}...
>>with \begin{equation} \input{....###} (i.e. the output files from axiom).
>
>
> The code is all python but does not run standalone, currently. Trivial
> modifications could be made to make it run standalone.
>
>
>>But in order to make something like this work, Python needs to be able
>>to call axiom and tell it to run the script (and possibly close axiom
>>afterward). Is there a way to do this on Windows? Can it be done with
>>a dos command?
>
>
> I can't comment on windows...
>
> If you're interested in working on this, please join axiom-developer!
> ;)
>
> --
> Cheers,
> Bob McElrath [Univ. of California at Davis, Department of Physics]
>
> "One of the best ways to get yourself a reputation as a dangerous citizen
> these days is to go about repeating the very phrases which our founding
> fathers used in the great struggle for independence." --Charles A. Beard
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg42FBED0C.2010600@comcast.net
From MAILER-DAEMON Thu Aug 11 21:11:19 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3O4j-00029G-Ic
for mharc-axiom-developer@gnu.org; Thu, 11 Aug 2005 21:11:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3O4a-00024L-Pv
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 21:11:01 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3O4P-0001xJ-L8
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 21:10:51 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3O4M-0001un-MN
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 21:10:46 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3OEA-0001Eb-M1
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 21:20:55 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7C15gwl008977;
Thu, 11 Aug 2005 20:05:42 -0500
From: mathaction@axiom-developer.org (Mike Thomas)
To: mathaction@axiom-developer.org
Message-ID: <MFEIIPBIPCKFPICNGIJNIEFNIFAA.mike.thomas@paradigmgeo.com>
In-reply-to: <42FBE41D.5090706@comcast.net>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 11 Aug 2005 20:05:42 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] [Axiom-mail] \begin{axiom} latex on
windows
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 12 Aug 2005 01:11:04 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Hi Ryan.
| I would very much like to be able to write LaTeX documents like this on
| Windows XP. Has anyone done this?
To build Axiom on Windows (including those LaTeX pamphlets), I use the excellent and free software MikTeX:
http://www.miktex.org/
I believe that Bill Page also uses that package.
Cheers
Mike Thomas
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msgMFEIIPBIPCKFPICNGIJNIEFNIFAA.mike.thomas@paradigmgeo.com
From MAILER-DAEMON Fri Aug 12 12:02:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3bz6-0002xz-IM
for mharc-axiom-developer@gnu.org; Fri, 12 Aug 2005 12:02:16 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3M7y-0003T1-JO
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 19:06:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3M7v-0003SI-Sv
for axiom-developer@nongnu.org; Thu, 11 Aug 2005 19:06:20 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43)
id 1E3M4n-0002bS-Dw; Thu, 11 Aug 2005 19:03:05 -0400
Received: from [66.134.96.17] (helo=intech19.enhanced.com)
by monty-python.gnu.org with esmtp (Exim 4.34)
id 1E3Luo-0000w7-P3; Thu, 11 Aug 2005 18:52:49 -0400
Received: from camm by intech19.enhanced.com with local (Exim 3.35 #1 (Debian))
id 1E3LeI-00031i-00; Thu, 11 Aug 2005 18:35:42 -0400
To: gcl-devel@gnu.org, maxima <maxima@math.utexas.edu>,
acl2@lists.cc.utexas.edu, axiom-developer@nongnu.org, "Page,
Bill" <Bill.Page@drdc-rddc.gc.ca>, daly@axiom-developer.org,
boyer@cs.utexas.edu, hunt@cs.utexas.edu,
Matt Kaufmann <kaufmann@cs.utexas.edu>,
"Gordon Shaw Novak" <novak@cs.utexas.edu>
User-Agent: SEMI/1.14.3 (Ushinoya) FLIM/1.14.3 (=?ISO-8859-4?Q?Unebigory?=
=?ISO-8859-4?Q?=F2mae?=) APEL/10.3 Emacs/21.2 (i386-debian-linux-gnu)
MULE/5.0 (SAKAKI)
MIME-Version: 1.0 (generated by SEMI 1.14.3 - "Ushinoya")
Content-Type: text/plain; charset=US-ASCII
Message-Id: <E1E3LeI-00031i-00@intech19.enhanced.com>
From: Camm Maguire <camm@enhanced.com>
Date: Thu, 11 Aug 2005 18:35:42 -0400
X-Mailman-Approved-At: Fri, 12 Aug 2005 12:02:14 -0400
Cc:
Subject: [Axiom-developer] GCL 2.6.7 is released
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 11 Aug 2005 23:06:25 -0000
Greetings!
Stable version: 2.6.7
Testing Version: (cvs tag) Version_2_7_0t5
Greetings! The GCL team is happy to announce the release of version
2.6.7, the latest achievement in the 'stable' (as opposed to
'development') series. Please see http://www.gnu.org/software/gcl for
downloading information.
My apologies to Gordon Novak -- I had intended for this next stable
release to include xgcl support by default, but I have run out of
time, am leaving for a few days next week, and axiom is waiting for
the new webserver features. xgcl does work with release as with 2.6.6
but must still be built explicitly in the xgcl2 subdirectory. I will
try to rectify this as soon as feasible.
This release is a minor modification of 2.6.6, incorporating the known
bug fixes that had accumulated on the GCL errata page together with a
few other modifications primarily intended to provide a native
webserver feature to be used by axiom for displaying its documentation
and graphics. The interested user is advised to consult the info
documentation on SOCKET supplied with the source. From the
changelog:
* Fix (listen) with readline on
* fix control-d with readline
* libreadline5 support for Debian
* Support for pre-compiled regexps and new texinfo format
* Reenable run-process
* Push function 'accept into lisp, use select for 'listen on socket
streams
* New Upstream release version
* Native-reloc feature
* Add daemon capabilities to server sockets, document socket and
accept
* Some gcl-tk fixes
* Update wrapt-literals strategy to be consistent with CVS head --
wrap evreything but symbols and integers, don't wrap when keeping
the gazonk files for linking in different images, this is really a
compile-file operation
* gcltk demo cleanups
* Probe-file, open_stream, and the like fail on directories
* Resolve symlinks in truename
* Place prototypes for defcfun in header files
* Support for unique init names for compiler::link and the like
* libreadline5 for Debian
* remove _o from init-names
* gcc-4.0 fixups
* Bug fix: "gcl: depends on binutils-dev <<= 2.1.5-999), so
uninstallable in unstable", thanks to Steve Langasek (Closes:
#318681). Rebuild with new release to autocompute this dep
* Bug fix: "gcl: Please switch to po-debconf", thanks to Lucas Wall
(Closes: #295930). Apply po-debconf patch
* Newer standards
--
Camm Maguire camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens." -- Baha'u'llah
From MAILER-DAEMON Fri Aug 12 12:11:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3c7b-0007jE-9m
for mharc-axiom-developer@gnu.org; Fri, 12 Aug 2005 12:11:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3c6x-0007Tk-DB
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:10:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3c6k-0007Ll-UZ
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:10:14 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3c6h-0007Co-Rk
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:10:08 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3cE3-0007wv-0U
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:17:43 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7CG2Swl029488;
Fri, 12 Aug 2005 11:02:28 -0500
From: mathaction@axiom-developer.org (David MENTRE)
To: mathaction@axiom-developer.org
Message-ID: <3d13dcfc050811232023208920@mail.gmail.com>
In-reply-to: <42FBED0C.2010600@comcast.net>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 12 Aug 2005 11:02:28 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] \begin{axiom} latex on windows
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 12 Aug 2005 16:10:56 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Hello Ryan,
2005/8/12, Ryan Krauss <ryanfedora@comcast.net>:
> I can't find any documentation on the pamphlet format. Can you tell me
> where I can find out more?
I've not followed latest Axiom developments but as far as I know
pamphlet format is the same as noweb format (noweb is the tool used to
parse pamphlets in Axiom).
noweb home page: http://www.eecs.harvard.edu/~nr/noweb/
A single page doc: http://www.eecs.harvard.edu/~nr/noweb/onepage.ps
Some examples : http://www.eecs.harvard.edu/~nr/noweb/examples/index.html
You should also look at axiom-developer mailing list archives, Tim
Daly has made extensive description of pamphlets.
I hope it helps,
Yours,
david
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg3d13dcfc050811232023208920@mail.gmail.com
From MAILER-DAEMON Fri Aug 12 12:23:11 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3cJK-0004jw-B4
for mharc-axiom-developer@gnu.org; Fri, 12 Aug 2005 12:23:10 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3cJG-0004iL-Vy
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:23:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3cJE-0004gy-G0
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:23:05 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3cJE-0004gj-1K
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:23:04 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3cTG-0000lE-DI
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 12:33:26 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7CGI4wl001081;
Fri, 12 Aug 2005 11:18:04 -0500
From: mathaction@axiom-developer.org (Martin Rubey)
To: mathaction@axiom-developer.org
Message-ID: <17148.51458.818908.224886@seam101.local>
In-reply-to: <3d13dcfc050811232023208920@mail.gmail.com>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 12 Aug 2005 11:18:04 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] \begin{axiom} latex on windows
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 12 Aug 2005 16:23:09 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
I just sent one to axiom-math...
Martin
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg17148.51458.818908.224886@seam101.local
From MAILER-DAEMON Fri Aug 12 16:42:47 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3gJ7-0004BH-3P
for mharc-axiom-developer@gnu.org; Fri, 12 Aug 2005 16:39:13 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3gIo-000434-2W
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 16:38:54 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3gIf-0003zP-S6
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 16:38:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3gIf-0003uo-FC
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 16:38:45 -0400
Received: from [69.36.241.242] (helo=moya.mcelrath.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3gOX-0007ib-9E
for axiom-developer@nongnu.org; Fri, 12 Aug 2005 16:44:49 -0400
Received: from moya.mcelrath.org (mcelrath@localhost [127.0.0.1])
by moya.mcelrath.org (8.13.4/8.13.4/Debian-3) with ESMTP id
j7CKTbn9011167
(version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NOT);
Fri, 12 Aug 2005 13:29:37 -0700
Received: (from mcelrath@localhost)
by moya.mcelrath.org (8.13.4/8.13.4/Submit) id j7CKTbx8011164;
Fri, 12 Aug 2005 13:29:37 -0700
X-Authentication-Warning: moya.mcelrath.org: mcelrath set sender to
bob+axiom@mcelrath.org using -f
Date: Fri, 12 Aug 2005 13:29:37 -0700
From: Bob McElrath <bob+axiom@mcelrath.org>
To: "Davide P.Cervone" <dpvc@union.edu>
Message-ID: <20050812202937.GC7213@mcelrath.org>
Mail-Followup-To: "Davide P.Cervone" <dpvc@union.edu>,
axiom-developer@nongnu.org
References: <20050524125506-0500@page.axiom-developer.org>
<20050524190605.GE6646@mcelrath.org>
<306229a068781e29de6a864962274f25@union.edu>
<20050709010813.GB20323@mcelrath.org>
<ed782bf769f5b12bfab3e5ae1a0ba063@union.edu>
Mime-Version: 1.0
Content-Type: multipart/signed; micalg=pgp-sha1;
protocol="application/pgp-signature"; boundary="vEao7xgI/oilGqZ+"
Content-Disposition: inline
In-Reply-To: <ed782bf769f5b12bfab3e5ae1a0ba063@union.edu>
User-Agent: Mutt/1.5.6+20040523i
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: New version of jsMath
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 12 Aug 2005 20:39:00 -0000
--vEao7xgI/oilGqZ+
Content-Type: text/plain; charset=us-ascii
Content-Disposition: inline
Hello again Davide,
I installed jsMath 2.0 yesterday and it is quite impressive, you've come
a long way!
As you remember, we are working on a browser-based interface to the
computer algebra system. We have decided to incorporate the SVG and
MathML technologies for this. While jsMath is a wonderful stepping
stone, it is too slow to render the quantity of math that would appear
in a "worksheet".
Instead, how about using jsMath to convert tex to MathML? I tried to do
this trivially by creating a XHTML+SVG+MathML page with jsMath, but I
find:
1) jsMath uses document.write() to add math. this is incompatible
with XHTML. One should instead use DOM-based methods such as
appendChild, removeChild, etc.
2) jsMath uses upper case tags in all cases. (XHTML requires
lower-case tags)
I think full XHTML-ization of jsMath will not make it incompatible with
existing implementations that use HTML 4.0, as the DOM is still there in
both cases (with minor differences), and one would just disable MathML
when the parent DOCTYPE doesn't support it.
I tried this using your competing tool, ASCIIMathML, but frankly your
tex parsing is far superior to theirs, so I'd like to insert MathML
output into your tex parsing machinery.
I have partially XHTML-ized jsMath.js (file here:
http://mcelrath.org:9674/ZiddlyWiki2/jsMath/jsMath.js) but as I
mentioned due to document.write[ln] it will not work in XHTML.
Would you be opposed to making jsMath XHTML-compatible? Would you be
opposed to adding a MathML rendering path?
Could you give me any pointers as to how to proceed? I can convert your
document.write[ln]'s but I am unsure how/where to insert MathML. I
assume in Typeset() but I keep looking at this code and it keeps being
very opaque to me.
--
Cheers,
Bob McElrath [Univ. of California at Davis, Department of Physics]
"One of the best ways to get yourself a reputation as a dangerous citizen
these days is to go about repeating the very phrases which our founding
fathers used in the great struggle for independence." --Charles A. Beard
--vEao7xgI/oilGqZ+
Content-Type: application/pgp-signature; name="signature.asc"
Content-Description: Digital signature
Content-Disposition: inline
-----BEGIN PGP SIGNATURE-----
Version: GnuPG v1.2.4 (GNU/Linux)
iD8DBQFC/QaxjwioWRGe9K0RAn2AAJ4i+3PVDojZR65XsJD26ocBCYRqngCggtoA
/LtR90rpFATAPiUNTHtQ+/g=
=M6LH
-----END PGP SIGNATURE-----
--vEao7xgI/oilGqZ+--
From MAILER-DAEMON Sat Aug 13 00:32:13 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E3ngq-0007NK-JZ
for mharc-axiom-developer@gnu.org; Sat, 13 Aug 2005 00:32:12 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3ngl-0007LT-J0
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 00:32:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3ngi-0007KA-SG
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 00:32:06 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3ngi-0007F9-52
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 00:32:04 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E3nik-0005oF-Sd
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 00:34:11 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7D4Igwl012278;
Fri, 12 Aug 2005 23:18:42 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7D4IgPD012275;
Fri, 12 Aug 2005 23:18:42 -0500
Date: Fri, 12 Aug 2005 23:18:42 -0500
Message-Id: <200508130418.j7D4IgPD012275@axiom-developer.org>
To: camm@enhanced.com
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] gcl-2.6.7
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 13 Aug 2005 04:32:10 -0000
re: slow. hey, life happens, right? i've been really lagged also
so our response times match. i just got back from a business trip today.
i've downloaded 2.6.7 and am working to port the system now.
t
From MAILER-DAEMON Sat Aug 13 15:25:42 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E41dW-0001Fu-3M
for mharc-axiom-developer@gnu.org; Sat, 13 Aug 2005 15:25:42 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E3tHh-0007gF-ER
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 06:30:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E3tHd-0007eV-QG
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 06:30:36 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E3tHd-0007d6-1N
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 06:30:33 -0400
Received: from [213.4.129.129] (helo=tsmtp2.mail.isp)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E3tSc-0006bJ-Dq
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 06:41:54 -0400
Received: from localhost ([213.0.200.77]) by tsmtp2.mail.isp
(terra.es) with ESMTP id IL5P0B01.FCU for
<axiom-developer@nongnu.org>; Sat, 13 Aug 2005 12:26:35 +0200
Date: Sat, 13 Aug 2005 12:27:22 +0200
From: =?iso-8859-1?Q?Jos=E9_Mar=EDa?= Ruiz Aguilera <josemaria@ieee.org>
To: axiom-developer@nongnu.org
Message-ID: <20050813102722.GA6054@tessier.dnsalias.org>
Mime-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Disposition: inline
Content-Transfer-Encoding: 8bit
User-Agent: Mutt/1.4.2.1i
X-Mailman-Approved-At: Sat, 13 Aug 2005 15:25:40 -0400
Subject: [Axiom-developer] Axiom on FreeBSD?
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 13 Aug 2005 10:30:39 -0000
Hi.
I want to use Axiom on FreeBSD, is it possible?
Bye.
--
Jos Mara Ruiz Aguilera
http://www.sandii.org
From MAILER-DAEMON Sat Aug 13 18:00:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E443J-0004h4-U6
for mharc-axiom-developer@gnu.org; Sat, 13 Aug 2005 18:00:29 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E440v-0003vZ-DO
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:58:02 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E440o-0003s7-JR
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:57:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E440g-0003e7-PX
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:57:46 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E43rN-0006pZ-DV
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:48:09 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7DLWZwl030288;
Sat, 13 Aug 2005 16:32:36 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7DLWYFA030278;
Sat, 13 Aug 2005 16:32:34 -0500
Date: Sat, 13 Aug 2005 16:32:34 -0500
Message-Id: <200508132132.j7DLWYFA030278@axiom-developer.org>
To: axiom-developer@nongnu.org
Cc:
Subject: [Axiom-developer] --patch-44
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 13 Aug 2005 22:00:16 -0000
--patch-44 has been uploaded. to get this type:
tla get axiom--main--1
Tim
======================================================================
Summary: move to gcl-2.6.7
Keywords: daly gcl-2.6.7
20050813 tpd --patch-44
20050813 tpd Makefile VERSION update to Axiom 3.9 (September 2005)
20050813 tpd lsp/Makefile gcl-2.6.7 patches
20050813 tpd Makefile GCLVERSION=gcl-2.6.7
20050813 tpd gcl-2.6.7.unixport.makefile.patch
20050813 tpd gcl-2.6.7.unixport.init_gcl.lsp.in.patch added
20050813 tpd gcl-2.6.7.h.linux.defs.patch added
20050813 tpd gcl-2.6.7.cmpnew.gcl_cmpflet.lsp.patch added
20050813 tpd gcl-2.6.7.cmpnew.gcl_cmpcall.lsp.patch added
20050813 tpd gcl-2.6.7.tgz added
From MAILER-DAEMON Sat Aug 13 18:00:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E440y-0003wJ-N3
for mharc-axiom-developer@gnu.org; Sat, 13 Aug 2005 17:58:04 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E440T-0003mx-Tg
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:57:34 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E440K-0003hy-Dg
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:57:26 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E440I-0003e7-8E
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:57:22 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4429-000754-8C
for axiom-developer@nongnu.org; Sat, 13 Aug 2005 17:59:17 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7DLhjwl000441;
Sat, 13 Aug 2005 16:43:45 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7DLhiID000438;
Sat, 13 Aug 2005 16:43:44 -0500
Date: Sat, 13 Aug 2005 16:43:44 -0500
Message-Id: <200508132143.j7DLhiID000438@axiom-developer.org>
To: martin.rubey@univie.ac.at
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Beckermann and Labahn paper
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 13 Aug 2005 21:57:35 -0000
Martin,
Is there any chance of getting permission to use the
Beckermann and Labahn paper as part of the documentation?
Usually I've been rewriting the paper into a more "documenting"
form as well as embedding the code. But I can only do this with
permission. If you know either of the authors I'd be happy to ask.
Tim
From MAILER-DAEMON Sun Aug 14 01:28:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4B2G-0004KB-So
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 01:27:53 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4B28-0004HX-L7
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 01:27:47 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4B20-0004Dj-5j
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 01:27:38 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4B1z-00042a-UF
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 01:27:36 -0400
Received: from [68.142.201.190] (helo=web31710.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E4AxC-0001SI-Aj
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 01:22:38 -0400
Received: (qmail 38358 invoked by uid 60001); 14 Aug 2005 05:07:08 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=iW967fvTbg+llc0OrvKHJe1k1HthQFrbc7fCdwZHhE5+/R6gKuViDw03+YfXalDE4Ig/m444/kVMpBrsDrCiu8OEOMd+/Nn5O5HVGJQwqRFOZV1uhFRMC+1t3Hk89vAJpQBkpw50j23dJBzAqjshFHiw4H3JpmjZCrpNThY61VM=
;
Message-ID: <20050814050708.38356.qmail@web31710.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31710.mail.mud.yahoo.com via HTTP;
Sat, 13 Aug 2005 22:07:08 PDT
Date: Sat, 13 Aug 2005 22:07:08 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
To: axiom-developer@nongnu.org
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Subject: [Axiom-developer] Integration in Axiom?
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 05:27:50 -0000
Curosity question - are there any known limitations to Axiom's current
integration routines compared to the "state of the art" algorithms? I
ask because I get the following doing the same integral in Maxima vs.
Axiom (note I'm not sure if Maxima is correct):
AXIOM Computer Algebra System
Version: Axiom 3.6 (June 2005)
Timestamp: Wednesday July 27, 2005 at 12:16:43
-----------------------------------------------------------------------------
Issue )copyright to view copyright notices.
Issue )summary for a summary of useful system commands.
Issue )quit to leave AXIOM and return to shell.
-----------------------------------------------------------------------------
Re-reading compress.daase Re-reading interp.daase
Re-reading operation.daase
Re-reading category.daase
Re-reading browse.daase
(1) ->
(1) -> integrate(sin(x**2),x)
UserDefinedPartialOrdering
x
++ 2
(1) | sin(%I )d%I
++
Type: Union(Expression
Integer,...)
(2) ->
Maxima 5.9.1.1cvs http://maxima.sourceforge.net
Using Lisp CMU Common Lisp 19b (19B)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
This is a development version of Maxima. The function bug_report()
provides bug reporting information.
(%i1) integrate(sin(x**2),x);
(sqrt(2) %i + sqrt(2)) x
(%o1) sqrt(%pi) ((sqrt(2) %i + sqrt(2)) erf(------------------------)
2
(sqrt(2) %i - sqrt(2)) x
+ (sqrt(2) %i - sqrt(2)) erf(------------------------))/8
2
(%i2)
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Sun Aug 14 03:37:10 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4D3M-0002w9-H7
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 03:37:08 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4D3H-0002tq-9z
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 03:37:03 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4D3D-0002rI-6g
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 03:37:01 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4D3B-0002nA-UA
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 03:36:58 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E4D7d-0006r2-HN
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 03:41:33 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7E7PRs3036458;
Sun, 14 Aug 2005 09:25:30 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17150.61824.158425.109096@seam101.local>
Date: Sun, 14 Aug 2005 09:23:44 +0200
To: daly@axiom-developer.org
In-Reply-To: <200508132143.j7DLhiID000438@axiom-developer.org>
References: <200508132143.j7DLhiID000438@axiom-developer.org>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: Beckermann and Labahn paper
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 07:37:04 -0000
daly@axiom-developer.org writes:
> Martin,
>
> Is there any chance of getting permission to use the
> Beckermann and Labahn paper as part of the documentation?
I don't know. But since their paper is available online *and* published, I
don't think it is necessary. (You did notice that I did not document the source
at all so far...)
> Usually I've been rewriting the paper into a more "documenting"
> form as well as embedding the code. But I can only do this with
> permission. If you know either of the authors I'd be happy to ask.
No, I don't know them. And in fact, after a little digging, I find that their
paper is better written than any documentation I could write. I will document
the bits of code where I depart from their paper.
Martin
From MAILER-DAEMON Sun Aug 14 08:36:12 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4Hil-0006T0-PL
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 08:36:12 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4Hih-0006Qz-QU
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:36:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4Hie-0006PY-Is
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:36:05 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4Hie-0006Nn-8i
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:36:04 -0400
Received: from [193.252.22.30] (helo=smtp1.wanadoo.fr)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E4HrK-00044j-Rk
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:45:03 -0400
Received: from me-wanadoo.net (localhost [127.0.0.1])
by mwinf0106.wanadoo.fr (SMTP Server) with ESMTP id 1F9B51C0015B
for <axiom-developer@nongnu.org>; Sun, 14 Aug 2005 14:29:26 +0200 (CEST)
Received: from ALille-251-1-55-186.w82-127.abo.wanadoo.fr
(ALille-251-1-55-186.w82-127.abo.wanadoo.fr [82.127.184.186])
by mwinf0106.wanadoo.fr (SMTP Server) with ESMTP id 87E1E1C00156;
Sun, 14 Aug 2005 14:29:25 +0200 (CEST)
X-ME-UUID: 20050814122925556.87E1E1C00156@mwinf0106.wanadoo.fr
Subject: Re: [Axiom-developer] --patch-44
From: Vanuxem =?ISO-8859-1?Q?Gr=E9gory?= <g.vanuxem@wanadoo.fr>
To: daly@axiom-developer.org
In-Reply-To: <200508132132.j7DLWYFA030278@axiom-developer.org>
References: <200508132132.j7DLWYFA030278@axiom-developer.org>
Content-Type: text/plain; charset=ISO-8859-1
Date: Sun, 14 Aug 2005 14:29:56 +0200
Message-Id: <1124022597.12133.5.camel@localhost.localdomain>
Mime-Version: 1.0
X-Mailer: Evolution 2.2.3
Content-Transfer-Encoding: quoted-printable
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 12:36:10 -0000
Le samedi 13 ao=FBt 2005 =E0 16:32 -0500, daly@axiom-developer.org a =E9c=
rit :
> --patch-44 has been uploaded. to get this type:
> tla get axiom--main--1
>=20
> Tim
>=20
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
>=20
> Summary: move to gcl-2.6.7
> Keywords: daly gcl-2.6.7
>=20
> 20050813 tpd --patch-44
> 20050813 tpd Makefile VERSION update to Axiom 3.9 (September 2005)
> 20050813 tpd lsp/Makefile gcl-2.6.7 patches
> 20050813 tpd Makefile GCLVERSION=3Dgcl-2.6.7
> 20050813 tpd gcl-2.6.7.unixport.makefile.patch
> 20050813 tpd gcl-2.6.7.unixport.init_gcl.lsp.in.patch added
> 20050813 tpd gcl-2.6.7.h.linux.defs.patch added
> 20050813 tpd gcl-2.6.7.cmpnew.gcl_cmpflet.lsp.patch added
> 20050813 tpd gcl-2.6.7.cmpnew.gcl_cmpcall.lsp.patch added
> 20050813 tpd gcl-2.6.7.tgz added
More precisely:
BOOT>=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
=3D=3D=3D algebra bootstrap complete =3D=3D=3D=3D=3D=3D
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
compiling AHYP.spad to AHYP.NRLIB
AXIOM Computer Algebra System
Version: Axiom 3.9 (September 2005)
Timestamp: Sunday August 14, 2005 at 14:27:00
-------------------------------------------------------------------------=
----
Issue )copyright to view copyright notices.
Issue )summary for a summary of useful system commands.
Issue )quit to leave AXIOM and return to shell.
-------------------------------------------------------------------------=
----
Using local
database /usr/local/axiom/src/share/algebra/compress.daase.. Using
local database /usr/local/axiom/src/share/algebra/interp.daase..
Using local
database /usr/local/axiom/src/share/algebra/operation.daase..
Using local
database /usr/local/axiom/src/share/algebra/category.daase..
Using local
database /usr/local/axiom/src/share/algebra/browse.daase..
(1) -> Loading /usr/local/axiom/mnt/linux/autoload/apply.
Loading /usr/local/axiom/mnt/linux/autoload/c-doc.
Loading /usr/local/axiom/mnt/linux/autoload/c-util.
Loading /usr/local/axiom/mnt/linux/autoload/profile.
Loading /usr/local/axiom/mnt/linux/autoload/category.
Loading /usr/local/axiom/mnt/linux/autoload/compiler.
Loading /usr/local/axiom/mnt/linux/autoload/define.
Loading /usr/local/axiom/mnt/linux/autoload/functor.
Loading /usr/local/axiom/mnt/linux/autoload/info.
Loading /usr/local/axiom/mnt/linux/autoload/iterator.
Loading /usr/local/axiom/mnt/linux/autoload/modemap.
Loading /usr/local/axiom/mnt/linux/autoload/nruncomp.
Loading /usr/local/axiom/mnt/linux/autoload/package.
Loading /usr/local/axiom/mnt/linux/autoload/htcheck.
Loading /usr/local/axiom/mnt/linux/autoload/xruncomp.
Compiling AXIOM source code from file AHYP.spad using old system
compiler.
Loading /usr/local/axiom/mnt/linux/autoload/parsing.
Loading /usr/local/axiom/mnt/linux/autoload/bootlex.
Loading /usr/local/axiom/mnt/linux/autoload/def.
Loading /usr/local/axiom/mnt/linux/autoload/fnewmeta.
Loading /usr/local/axiom/mnt/linux/autoload/metalex.
Loading /usr/local/axiom/mnt/linux/autoload/metameta.
Loading /usr/local/axiom/mnt/linux/autoload/parse.
Loading /usr/local/axiom/mnt/linux/autoload/postpar.
Loading /usr/local/axiom/mnt/linux/autoload/postprop.
Loading /usr/local/axiom/mnt/linux/autoload/preparse.
AHYP abbreviates category ArcHyperbolicFunctionCategory
------------------------------------------------------------------------
initializing NRLIB AHYP for ArcHyperbolicFunctionCategory
compiling into NRLIB AHYP
;;; *** |ArcHyperbolicFunctionCategory| REDEFINED
Time: 0.01 SEC.
Loading /usr/local/axiom/mnt/linux/autoload/bc-matrix.
Loading /usr/local/axiom/mnt/linux/autoload/bc-misc.
Loading /usr/local/axiom/mnt/linux/autoload/bc-solve.
Loading /usr/local/axiom/mnt/linux/autoload/bc-util.
Loading /usr/local/axiom/mnt/linux/autoload/ht-util.
Loading /usr/local/axiom/mnt/linux/autoload/htsetvar.
Loading /usr/local/axiom/mnt/linux/autoload/ht-root.
Loading /usr/local/axiom/mnt/linux/autoload/br-con.
Loading /usr/local/axiom/mnt/linux/autoload/br-data.
Loading /usr/local/axiom/mnt/linux/autoload/showimp.
Loading /usr/local/axiom/mnt/linux/autoload/br-op1.
Loading /usr/local/axiom/mnt/linux/autoload/br-op2.
Loading /usr/local/axiom/mnt/linux/autoload/br-search.
Loading /usr/local/axiom/mnt/linux/autoload/br-util.
Loading /usr/local/axiom/mnt/linux/autoload/topics.
Loading /usr/local/axiom/mnt/linux/autoload/br-prof.
Loading /usr/local/axiom/mnt/linux/autoload/br-saturn.
finalizing NRLIB AHYP
>> System error:
The function |insertAlist| is undefined.
Any idea ?
Cheers,
Greg
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
>=20
From MAILER-DAEMON Sun Aug 14 08:36:53 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4HjQ-0006ti-JL
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 08:36:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4HjN-0006sO-VQ
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:36:50 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4HjL-0006qg-Nc
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:36:49 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4He6-0004wR-Si
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:31:22 -0400
Received: from [193.252.22.25] (helo=smtp6.wanadoo.fr)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E4HQM-0002Rs-Ab
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 08:17:10 -0400
Received: from me-wanadoo.net (unknown [127.0.0.1])
by mwinf0608.wanadoo.fr (SMTP Server) with ESMTP id 2CF021C0023B
for <axiom-developer@nongnu.org>; Sun, 14 Aug 2005 14:01:37 +0200 (CEST)
Received: from ALille-251-1-55-186.w82-127.abo.wanadoo.fr
(ALille-251-1-55-186.w82-127.abo.wanadoo.fr [82.127.184.186])
by mwinf0608.wanadoo.fr (SMTP Server) with ESMTP id C72ED1C0023A;
Sun, 14 Aug 2005 14:01:36 +0200 (CEST)
X-ME-UUID: 20050814120136815.C72ED1C0023A@mwinf0608.wanadoo.fr
Subject: Re: [Axiom-developer] --patch-44
From: Vanuxem =?ISO-8859-1?Q?Gr=E9gory?= <g.vanuxem@wanadoo.fr>
To: daly@axiom-developer.org
In-Reply-To: <200508132132.j7DLWYFA030278@axiom-developer.org>
References: <200508132132.j7DLWYFA030278@axiom-developer.org>
Content-Type: text/plain; charset=ISO-8859-1
Date: Sun, 14 Aug 2005 14:02:08 +0200
Message-Id: <1124020928.12133.3.camel@localhost.localdomain>
Mime-Version: 1.0
X-Mailer: Evolution 2.2.3
Content-Transfer-Encoding: quoted-printable
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 12:36:51 -0000
Hi,
Le samedi 13 ao=FBt 2005 =E0 16:32 -0500, daly@axiom-developer.org a =E9c=
rit :
> --patch-44 has been uploaded. to get this type:
> tla get axiom--main--1
>=20
> Tim
>=20
> =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
>=20
> Summary: move to gcl-2.6.7
> Keywords: daly gcl-2.6.7
>=20
> 20050813 tpd --patch-44
> 20050813 tpd Makefile VERSION update to Axiom 3.9 (September 2005)
> 20050813 tpd lsp/Makefile gcl-2.6.7 patches
> 20050813 tpd Makefile GCLVERSION=3Dgcl-2.6.7
> 20050813 tpd gcl-2.6.7.unixport.makefile.patch
> 20050813 tpd gcl-2.6.7.unixport.init_gcl.lsp.in.patch added
> 20050813 tpd gcl-2.6.7.h.linux.defs.patch added
> 20050813 tpd gcl-2.6.7.cmpnew.gcl_cmpflet.lsp.patch added
> 20050813 tpd gcl-2.6.7.cmpnew.gcl_cmpcall.lsp.patch added
> 20050813 tpd gcl-2.6.7.tgz added
>=20
compiling STAGG-.lsp to STAGG-.o
compiling SYMBOL.lsp to SYMBOL.o
compiling TSETCAT.lsp to TSETCAT.o
compiling TSETCAT-.lsp to TSETCAT-.o
compiling UFD.lsp to UFD.o
compiling UFD-.lsp to UFD-.o
compiling ULSCAT.lsp to ULSCAT.o
compiling UPOLYC.lsp to UPOLYC.o
compiling UPOLYC-.lsp to UPOLYC-.o
compiling URAGG.lsp to URAGG.o
compiling URAGG-.lsp to URAGG-.o
compiling VECTOR.lsp to VECTOR.o
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
=3D=3D=3D algebra bootstrap complete =3D=3D=3D=3D=3D=3D
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
compiling AHYP.spad to AHYP.NRLIB
make[3]: *** [/usr/local/axiom/int/algebra/AHYP.NRLIB/code.o] Erreur 255
make[3]: quittant le r=E9pertoire =AB /usr/local/axiom/src/algebra =BB
make[2]: *** [algebradir] Erreur 2
make[2]: quittant le r=E9pertoire =AB /usr/local/axiom/src =BB
make[1]: *** [srcdir] Erreur 2
make[1]: quittant le r=E9pertoire =AB /usr/local/axiom =BB
make: *** [all] Erreur 2
ellipse:/usr/local/axiom#
Any idea ?
Cheers,
Greg
>=20
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
>=20
From MAILER-DAEMON Sun Aug 14 10:34:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4JZa-0002kv-Un
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 10:34:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4JZI-0002f2-M6
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:34:33 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4JZ9-0002ar-A6
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:34:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4JZ8-0002Yp-W4
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:34:23 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4Jkr-0001eU-PW
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:46:29 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7EEUowl023545;
Sun, 14 Aug 2005 09:30:51 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7EEUowB023535;
Sun, 14 Aug 2005 09:30:50 -0500
Date: Sun, 14 Aug 2005 09:30:50 -0500
Message-Id: <200508141430.j7EEUowB023535@axiom-developer.org>
To: g.vanuxem@wanadoo.fr
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] --patch-44 build failure
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 14:34:40 -0000
Greg,
Please type:
make NOISE=
and send me the console.
Tim
From MAILER-DAEMON Sun Aug 14 10:38:43 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4JdL-0003u1-El
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 10:38:43 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4JdI-0003sw-P3
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:38:40 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4JdF-0003r7-QY
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:38:39 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4JdE-0003py-K2
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:38:36 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4JnU-0001td-T2
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 10:49:13 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7EEXYwl024269;
Sun, 14 Aug 2005 09:33:34 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7EEXYE6024266;
Sun, 14 Aug 2005 09:33:34 -0500
Date: Sun, 14 Aug 2005 09:33:34 -0500
Message-Id: <200508141433.j7EEXYE6024266@axiom-developer.org>
To: markm@freebsd.org
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] freebsd
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 14:38:41 -0000
Mark,
As I mentioned, the next step after the gcl-2.6.7 port is to get
Axiom running on FreeBSD. I've set up a freebsd node here and
moved Axiom sources onto it. I'll let you know how it goes.
Tim
From MAILER-DAEMON Sun Aug 14 12:29:51 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4LMr-0005VM-Ug
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 12:29:50 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4LMo-0005T0-Ip
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:29:47 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4LMj-0005On-Vz
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:29:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4LMh-000557-8O
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:29:39 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4LBm-0006Fy-6c
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:18:22 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7EG2gwl012980;
Sun, 14 Aug 2005 11:02:42 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7EG2gVO012977;
Sun, 14 Aug 2005 11:02:42 -0500
Date: Sun, 14 Aug 2005 11:02:42 -0500
Message-Id: <200508141602.j7EG2gVO012977@axiom-developer.org>
To: g.vanuxem@wanadoo.fr
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] send file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 16:29:47 -0000
Greg,
insertAlist is defined in src/interp/i-coerfn.boot.pamphlet
please send me the file:
/usr/local/axiom/int/interp/i-coerfn.clisp
which is the translated file from i-coerfn.boot.
Tim
From MAILER-DAEMON Sun Aug 14 12:59:01 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4Lp6-0004ef-6s
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 12:59:00 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4Lox-0004Za-La
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:58:52 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4Lot-0004Xf-8K
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:58:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4Los-0004WF-Sn
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:58:46 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4LyX-0008Cw-Ph
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 13:08:45 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7EGr5wl025210;
Sun, 14 Aug 2005 11:53:05 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7EGr4XG025203;
Sun, 14 Aug 2005 11:53:04 -0500
Date: Sun, 14 Aug 2005 11:53:04 -0500
Message-Id: <200508141653.j7EGr4XG025203@axiom-developer.org>
To: g.vanuxem@wanadoo.fr
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] send file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 16:58:56 -0000
Greg,
It appears that you stopped the make in the middle of the translation
of i-coerfn.boot.pamphlet.
Try
make clean
rm -rf int obj mnt noweb
make NOISE=
Tim
From MAILER-DAEMON Sun Aug 14 12:59:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4LpG-0004nj-Sv
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 12:59:11 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4Lp4-0004da-Mb
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:58:59 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4Lou-0004Y6-Da
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:58:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4Lot-0004WF-CX
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 12:58:47 -0400
Received: from [81.103.221.47] (helo=mta07-winn.ispmail.ntl.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E4Lxn-0008Ba-RU
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 13:08:00 -0400
Received: from aamta11-winn.ispmail.ntl.com ([81.103.221.35])
by mta07-winn.ispmail.ntl.com with ESMTP id
<20050814165221.PJXU21883.mta07-winn.ispmail.ntl.com@aamta11-winn.ispmail.ntl.com>;
Sun, 14 Aug 2005 17:52:21 +0100
Received: from obscurity.home ([80.3.52.65])
by aamta11-winn.ispmail.ntl.com with ESMTP
id <20050814165221.EHUW820.aamta11-winn.ispmail.ntl.com@obscurity.home>;
Sun, 14 Aug 2005 17:52:21 +0100
Received: from obscurity.home (localhost [127.0.0.1])
by obscurity.home (8.13.1/8.13.1/SuSE Linux 0.7) with ESMTP id
j7EH4oGU008859; Sun, 14 Aug 2005 18:04:52 +0100
Received: (from pab@localhost)
by obscurity.home (8.13.1/8.13.1/Submit) id j7EH4nEh008858;
Sun, 14 Aug 2005 18:04:49 +0100
X-Authentication-Warning: obscurity.home: pab set sender to
peter.broadbery@ntlworld.com using -f
From: Peter Broadbery <peter.broadbery@ntlworld.com>
To: daly@axiom-developer.org
Content-Type: text/plain
Content-Transfer-Encoding: 7bit
Date: Sun, 14 Aug 2005 18:04:48 +0100
Message-Id: <1124039088.6065.12.camel@obscurity.home>
Mime-Version: 1.0
X-Mailer: Evolution 2.0.1
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Axiom/aldor interface code
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 16:59:03 -0000
Hi Tim,
I've been doing a bit more work on the aldor interface (it will now
compile 90% of the axiom library for use against aldor). I'm at the
point of pampletising the source files, and should be done pretty soon.
Some may even be documented properly once I'm done.
I can either send patches or try to merge with an existing tla branch -
what do you prefer?
Cheers,
Pete
Oh, excuse the delay in getting back round to this. I'm interested in
trying to get aldor working, but I think it'll take more testing &
development than I can supply in order to get it working 100%.
--
Peter Broadbery <peter.broadbery@ntlworld.com>
From MAILER-DAEMON Sun Aug 14 13:35:04 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4MNz-0004jl-NJ
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 13:35:04 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4MNx-0004iM-0O
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 13:35:01 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4MNv-0004hr-Rd
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 13:35:00 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4MMr-00047S-OF
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 13:33:53 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4MCN-0000nw-8x
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 13:23:03 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7EH7Mwl028425;
Sun, 14 Aug 2005 12:07:22 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7EH7Mue028422;
Sun, 14 Aug 2005 12:07:22 -0500
Date: Sun, 14 Aug 2005 12:07:22 -0500
Message-Id: <200508141707.j7EH7Mue028422@axiom-developer.org>
To: peter.broadbery@ntlworld.com
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Axiom/aldor interface code
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 17:35:01 -0000
Pete,
Excellent. Just send me the pamphlets and I'll work on the merge piece.
re: delay. progress is not measured by time. Once I see what you've
been up to I can work out testing methods and integrate them into
the whole.
Tim
From MAILER-DAEMON Sun Aug 14 14:08:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4MuM-000707-66
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 14:08:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4MuL-0006zv-16
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 14:08:29 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4MuJ-0006yY-Bw
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 14:08:28 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4MuH-0006uz-TG
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 14:08:25 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4N4Q-0003Xp-Pr
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 14:18:55 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7EI3Cwl009389;
Sun, 14 Aug 2005 13:03:12 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7EI3CkC009386;
Sun, 14 Aug 2005 13:03:12 -0500
Date: Sun, 14 Aug 2005 13:03:12 -0500
Message-Id: <200508141803.j7EI3CkC009386@axiom-developer.org>
To: g.vanuxem@wanadoo.fr
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Axiom/aldor interface code
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 18:08:29 -0000
Greg,
The process is:
notangle i-coerfn.boot.pamphlet ==> i-coerfn.boot
depsys (boottocl) i-coerfn.boot ==> i-coerfn.clisp
depsys i-coerfn.clisp ==> i-coerfn.o
The process can fail in several ways but it appears that you have
a partially translated .boot file resulting in a truncated .clisp file.
The usually indicates a syntax error in the boot file causing the
boottocl translator to stop.
Or if the make is stopped while the .clisp file is partially written
then it will already exist (with only some of the functions translated)
and restarting the make will not retranslate the file (since it exists).
Rebuilding the system from scratch should cure the problem. I've fetched
the sources and will do another rebuild here just to check that the file
was not changed in some way.
Tim
From MAILER-DAEMON Sun Aug 14 16:00:02 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4OeE-0000Gl-Mz
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 15:59:58 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4OeB-0000EG-6e
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 15:59:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4Oe7-0000CM-E0
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 15:59:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4Oe7-0000CC-Bh
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 15:59:51 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4OpI-0000WT-CA
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 16:11:24 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7EJtewl003910;
Sun, 14 Aug 2005 14:55:40 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7EJtduS003907;
Sun, 14 Aug 2005 14:55:39 -0500
Date: Sun, 14 Aug 2005 14:55:39 -0500
Message-Id: <200508141955.j7EJtduS003907@axiom-developer.org>
To: g.vanuxem@wanadoo.fr
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Axiom/aldor interface code
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 19:59:57 -0000
Greg,
I've refetched and rebuilt the system from the archives and it builds
cleanly here. If you refetch and rebuild does it still fail?
Tim
From MAILER-DAEMON Sun Aug 14 16:02:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4Oer-0000TP-LW
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 16:00:37 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4OeM-0000Jk-BR
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 16:00:06 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4OeE-0000Gb-SJ
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 15:59:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4OeE-0000CC-I5
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 15:59:58 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E4OdH-00009K-Nf
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 15:59:00 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7EJgruf023744;
Sun, 14 Aug 2005 21:42:56 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17151.40533.242149.95215@seam101.local>
Date: Sun, 14 Aug 2005 21:41:09 +0200
To: Peter Broadbery <peter.broadbery@ntlworld.com>
Subject: Re: [Axiom-developer] Axiom/aldor interface code
In-Reply-To: <1124039088.6065.12.camel@obscurity.home>
References: <1124039088.6065.12.camel@obscurity.home>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 20:00:17 -0000
Wow, this is great news!
Thanks a million times for your efforts!
Martin
Peter Broadbery writes:
>
> Hi Tim,
>
> I've been doing a bit more work on the aldor interface (it will now
> compile 90% of the axiom library for use against aldor). I'm at the
> point of pampletising the source files, and should be done pretty soon.
> Some may even be documented properly once I'm done.
>
> I can either send patches or try to merge with an existing tla branch -
> what do you prefer?
>
> Cheers,
>
> Pete
>
> Oh, excuse the delay in getting back round to this. I'm interested in
> trying to get aldor working, but I think it'll take more testing &
> development than I can supply in order to get it working 100%.
>
> --
> Peter Broadbery <peter.broadbery@ntlworld.com>
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
From MAILER-DAEMON Sun Aug 14 16:16:44 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4OuS-00060W-3m
for mharc-axiom-developer@gnu.org; Sun, 14 Aug 2005 16:16:44 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4OuQ-00060Q-AL
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 16:16:42 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4OuO-0005zX-H0
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 16:16:42 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4OuO-0005z3-8y
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 16:16:40 -0400
Received: from [193.252.22.31] (helo=smtp11.wanadoo.fr)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E4P1k-0001AR-Od
for axiom-developer@nongnu.org; Sun, 14 Aug 2005 16:24:16 -0400
Received: from me-wanadoo.net (localhost [127.0.0.1])
by mwinf1106.wanadoo.fr (SMTP Server) with ESMTP id D81961C000A8
for <axiom-developer@nongnu.org>; Sun, 14 Aug 2005 22:08:38 +0200 (CEST)
Received: from ALille-251-1-29-153.w82-127.abo.wanadoo.fr
(ALille-251-1-29-153.w82-127.abo.wanadoo.fr [82.127.135.153])
by mwinf1106.wanadoo.fr (SMTP Server) with ESMTP id 837881C000A0;
Sun, 14 Aug 2005 22:08:38 +0200 (CEST)
X-ME-UUID: 20050814200838538.837881C000A0@mwinf1106.wanadoo.fr
From: Vanuxem =?ISO-8859-1?Q?Gr=E9gory?= <g.vanuxem@wanadoo.fr>
To: daly@axiom-developer.org
In-Reply-To: <200508141955.j7EJtduS003907@axiom-developer.org>
References: <200508141955.j7EJtduS003907@axiom-developer.org>
Content-Type: text/plain; charset=ISO-8859-1
Date: Sun, 14 Aug 2005 22:09:11 +0200
Message-Id: <1124050151.3246.1.camel@localhost.localdomain>
Mime-Version: 1.0
X-Mailer: Evolution 2.2.3
Content-Transfer-Encoding: quoted-printable
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: Axiom/aldor interface code
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 14 Aug 2005 20:16:42 -0000
Le dimanche 14 ao=FBt 2005 =E0 14:55 -0500, daly@axiom-developer.org a
=E9crit :
> Greg,
>=20
> I've refetched and rebuilt the system from the archives and it builds
> cleanly here. If you refetch and rebuild does it still fail?
Yes since gcl-2.6.7pre but i don't know why.
I'll retry probably tomorrow.
Thanks
Cheers,
Greg
> Tim
>=20
>=20
From MAILER-DAEMON Mon Aug 15 10:07:56 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4fd5-0003MC-KB
for mharc-axiom-developer@gnu.org; Mon, 15 Aug 2005 10:07:55 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4fd2-0003Ki-QI
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 10:07:52 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4fd0-0003Js-KD
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 10:07:50 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4fd0-0003Jp-Gq
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 10:07:50 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4fUU-0001ef-8i
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 09:59:02 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7FDh6wl005706;
Mon, 15 Aug 2005 08:43:06 -0500
From: mathaction@axiom-developer.org (gregr)
To: mathaction@axiom-developer.org
Message-ID: <20050815084301-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 15 Aug 2005 08:43:06 -0500
Cc:
Subject: [Axiom-developer] [Lisp's Fraction Integer Domain] Typo error in
interp.patch
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 15 Aug 2005 14:07:53 -0000
Changes http://page.axiom-developer.org/zope/mathaction/LispsFractionIntegerDomain/diff
--
There was a typo error in interp.patch.
Corrected in this new patch.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/LispsFractionIntegerDomain#msg20050815084301-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 15 12:02:07 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4hPb-0001aw-Dz
for mharc-axiom-developer@gnu.org; Mon, 15 Aug 2005 12:02:07 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4hNT-00015G-G2
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:59:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4hNK-00011O-AO
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:59:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4hNK-0000gk-1A
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:59:46 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4hJ2-0001Sk-2z
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:55:20 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7FFdOwl002778;
Mon, 15 Aug 2005 10:39:24 -0500
From: mathaction@axiom-developer.org (greg)
To: mathaction@axiom-developer.org
Message-ID: <20050815103924-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 15 Aug 2005 10:39:24 -0500
Cc:
Subject: [Axiom-developer] [#197 DFLOAT format]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 15 Aug 2005 16:02:06 -0000
Changes http://page.axiom-developer.org/zope/mathaction/197DFLOATFormat/diff
--
??changed:
-<pre>
-diff -u /usr/local/axiom/int/algebra/DFLOAT.spad Axiom/DFLOAT.spad
---- /usr/local/axiom/int/algebra/DFLOAT.spad 2005-08-15 16:48:58.055751184 +0200
-+++ Axiom/DFLOAT.spad 2005-07-24 18:23:33.051285856 +0200
-@@ -62,6 +62,7 @@
- ++ Gamma(x) is the Euler Gamma function.
- Beta : (%,%) -> %
- ++ Beta(x,y) is \spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.
-+ doubleFloatFormat : String -> String
- rationalApproximation: (%, NonNegativeInteger) -> Fraction Integer
- ++ rationalApproximation(f, n) computes a rational approximation
- ++ r to f with relative error \spad{< 10**(-n)}.
-@@ -71,10 +72,17 @@
- ++ (that is, \spad{|(r-f)/f| < b**(-n)}).
-
- == add
-+ format: String := "~G"
- MER ==> Record(MANTISSA:Integer,EXPONENT:Integer)
-
-[21 more lines...]
--
forwarded from http://page.axiom-developer.org/zope/mathaction/197DFLOATFormat#msg20050815103924-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 15 12:05:07 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4hSV-0002rJ-5U
for mharc-axiom-developer@gnu.org; Mon, 15 Aug 2005 12:05:07 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4hNW-00016W-Ao
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:59:58 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4hNR-000142-1b
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:59:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4hNP-0000gk-55
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:59:51 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4hGw-0001OV-29
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 11:53:10 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7FFb8wl002152;
Mon, 15 Aug 2005 10:37:08 -0500
From: mathaction@axiom-developer.org (greg)
To: mathaction@axiom-developer.org
Message-ID: <20050815103703-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 15 Aug 2005 10:37:08 -0500
Cc:
Subject: [Axiom-developer] [#197 DFLOAT format] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 15 Aug 2005 16:05:06 -0000
Changes http://page.axiom-developer.org/zope/mathaction/197DFLOATFormat/diff
--
Add a format option to DFLOAT.spad. Here is a non documented patch
<pre>
diff -u /usr/local/axiom/int/algebra/DFLOAT.spad Axiom/DFLOAT.spad
--- /usr/local/axiom/int/algebra/DFLOAT.spad 2005-08-15 16:48:58.055751184 +0200
+++ Axiom/DFLOAT.spad 2005-07-24 18:23:33.051285856 +0200
@@ -62,6 +62,7 @@
++ Gamma(x) is the Euler Gamma function.
Beta : (%,%) -> %
++ Beta(x,y) is \spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.
+ doubleFloatFormat : String -> String
rationalApproximation: (%, NonNegativeInteger) -> Fraction Integer
++ rationalApproximation(f, n) computes a rational approximation
++ r to f with relative error \spad{< 10**(-n)}.
@@ -71,10 +72,17 @@
++ (that is, \spad{|(r-f)/f| < b**(-n)}).
== add
+ format: String := "~G"
MER ==> Record(MANTISSA:Integer,EXPONENT:Integer)
manexp: % -> MER
+ doubleFloatFormat(s:String): String ==
+ ss: String := format
+ format := s
+ ss
+
+
OMwrite(x: %): String ==
s: String := ""
sp := OM_-STRINGTOSTRINGPTR(s)$Lisp
@@ -132,7 +140,7 @@
-- rational approximation to e accurate to 23 digits
exp1() == FLOAT(534625820200,MOST_-POSITIVE_-LONG_-FLOAT$Lisp)$Lisp / FLOAT(196677847971,MOST_-POSITIVE_-LONG_-FLOAT$Lisp)$Lisp
pi() == PI$Lisp
- coerce(x:%):OutputForm == outputForm(x pretend DoubleFloat)
+ coerce(x:%):OutputForm == outputForm(FORMAT(NIL$Lisp,format,x)$Lisp pretend DoubleFloat)
convert(x:%):InputForm == convert(x pretend DoubleFloat)$InputForm
x < y == (x<y)$Lisp
- x == (-x)$Lisp
</pre>
--
forwarded from http://page.axiom-developer.org/zope/mathaction/197DFLOATFormat#msg20050815103703-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 15 19:06:56 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4o2h-00061U-IV
for mharc-axiom-developer@gnu.org; Mon, 15 Aug 2005 19:06:56 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4o2f-00060r-82
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 19:06:53 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4o2e-00060S-7d
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 19:06:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4o2A-0005VS-5T
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 19:06:22 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4neH-0005AI-7O
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 18:41:41 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7FMPYwl012599;
Mon, 15 Aug 2005 17:25:34 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050815172534-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 15 Aug 2005 17:25:34 -0500
Cc:
Subject: [Axiom-developer] [MuPAD]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 15 Aug 2005 23:06:53 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MuPAD/diff
--
differentiate(sin x,x)
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MuPAD#msg20050815172534-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 15 19:08:34 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E4o4H-0006Yw-Tx
for mharc-axiom-developer@gnu.org; Mon, 15 Aug 2005 19:08:33 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E4o4E-0006Wd-S3
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 19:08:31 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E4o4D-0006VX-Ai
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 19:08:29 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E4o27-0005VS-Dd
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 19:06:19 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E4nff-0005Di-O7
for axiom-developer@nongnu.org; Mon, 15 Aug 2005 18:43:07 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7FMR4wl012828;
Mon, 15 Aug 2005 17:27:04 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050815172704-0500@page.axiom-developer.org>
In-reply-to: <20050815172534-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 15 Aug 2005 17:27:04 -0500
Cc:
Subject: [Axiom-developer] [MuPAD]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 15 Aug 2005 23:08:32 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MuPAD/diff
--
integrate(sin(x),x);
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MuPAD#msg20050815172704-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 17 12:21:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5QfD-0007mL-U9
for mharc-axiom-developer@gnu.org; Wed, 17 Aug 2005 12:21:16 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5QfB-0007kx-4D
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 12:21:13 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5Qf8-0007je-3q
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 12:21:11 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5Qf7-0007hS-TO
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 12:21:10 -0400
Received: from [64.233.184.192] (helo=wproxy.gmail.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5Qpk-0008EX-1z
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 12:32:08 -0400
Received: by wproxy.gmail.com with SMTP id i3so170719wra
for <axiom-developer@nongnu.org>; Wed, 17 Aug 2005 09:15:50 -0700 (PDT)
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=beta; d=gmail.com;
h=received:message-id:date:from:user-agent:x-accept-language:mime-version:to:subject:content-type:content-transfer-encoding;
b=IKfhpbRA9JuPsVTUS9xmWpiTMGUZi1ettq/XiBqW2p1dOIRZ7gWhxBHpxEs90T38MlsO9Gs1V7x8j09ANWjilSw8BioP+eaA1/qvbjRTAN7lVxOivaKMPfiQgbxw7Q4qf2v8f2oIXMDU6WGtC1RymwczUne2PoZWsfR06YqjmSc=
Received: by 10.54.29.11 with SMTP id c11mr540845wrc;
Wed, 17 Aug 2005 09:15:50 -0700 (PDT)
Received: from ?192.168.2.101? ([84.159.102.213])
by mx.gmail.com with ESMTP id g9sm1860374wra.2005.08.17.09.15.49;
Wed, 17 Aug 2005 09:15:50 -0700 (PDT)
Message-ID: <430362B5.6010802@gmail.com>
Date: Wed, 17 Aug 2005 18:15:49 +0200
From: Kai Kaminski <kai.kaminski@gmail.com>
User-Agent: Mozilla Thunderbird 1.0.2 (Macintosh/20050317)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: axiom-developer@nongnu.org
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Subject: [Axiom-developer] AxiomUI code
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 17 Aug 2005 16:21:14 -0000
Hi,
an early version of AxiomUI can be found on kaikaminski.gmxhome.de. The
only dependency is Clisp. I use 2.34 but earlier version that are not
too old should be fine. All Lisp libraries that are needed are contained
in the tarball.
There is also a README with instructions. It should be as easy as
starting a shell script.
Kai
From MAILER-DAEMON Wed Aug 17 14:48:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5Sy9-0004bE-1g
for mharc-axiom-developer@gnu.org; Wed, 17 Aug 2005 14:48:57 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5SuQ-000452-Su
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 14:45:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5Su8-00041R-To
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 14:44:49 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5Su8-0003q0-O3
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 14:44:48 -0400
Received: from [193.252.22.23] (helo=smtp8.wanadoo.fr)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5Stp-0000wf-Sn
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 14:44:30 -0400
Received: from me-wanadoo.net (localhost [127.0.0.1])
by mwinf0802.wanadoo.fr (SMTP Server) with ESMTP id 2501E1C0028A
for <axiom-developer@nongnu.org>; Wed, 17 Aug 2005 20:28:10 +0200 (CEST)
Received: from ALille-251-1-77-210.w82-127.abo.wanadoo.fr
(ALille-251-1-77-210.w82-127.abo.wanadoo.fr [82.127.252.210])
by mwinf0802.wanadoo.fr (SMTP Server) with ESMTP id 38ED61C0028D
for <axiom-developer@nongnu.org>; Wed, 17 Aug 2005 20:28:09 +0200 (CEST)
X-ME-UUID: 20050817182809233.38ED61C0028D@mwinf0802.wanadoo.fr
Subject: Re: [Axiom-developer] AxiomUI code
From: Vanuxem =?ISO-8859-1?Q?Gr=E9gory?= <g.vanuxem@wanadoo.fr>
To: axiom-developer <axiom-developer@nongnu.org>
In-Reply-To: <KHENICFPGDDCIMAIAFHNGEAJCDAA.g.vanuxem@wanadoo.fr>
References: <KHENICFPGDDCIMAIAFHNGEAJCDAA.g.vanuxem@wanadoo.fr>
Content-Type: text/plain; charset=ISO-8859-1
Date: Wed, 17 Aug 2005 20:28:19 +0200
Message-Id: <1124303299.3821.4.camel@localhost.localdomain>
Mime-Version: 1.0
X-Mailer: Evolution 2.2.3
Content-Transfer-Encoding: quoted-printable
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 17 Aug 2005 18:48:55 -0000
Le mercredi 17 ao=FBt 2005 =E0 19:03 +0200, Vanuxem Gr=E9gory a =E9crit :
>=20
> -----Message d'origine-----
> De : axiom-developer-bounces+g.vanuxem=3Dwanadoo.fr@nongnu.org
> [mailto:axiom-developer-bounces+g.vanuxem=3Dwanadoo.fr@nongnu.org]De la
> part de Kai Kaminski
> Envoy=E9 : mercredi 17 ao=FBt 2005 18:16
> =C0 : axiom-developer@nongnu.org
> Objet : [Axiom-developer] AxiomUI code
>=20
>=20
> Hi,
>=20
> an early version of AxiomUI can be found on kaikaminski.gmxhome.de. The
> only dependency is Clisp. I use 2.34 but earlier version that are not
> too old should be fine. All Lisp libraries that are needed are containe=
d
> in the tarball.
>=20
> There is also a README with instructions. It should be as easy as
> starting a shell script.
>=20
> Kai
Does not work for me.
A pb of split-sequence. Here is the output.
greg@ellipse:~/Desktop/axiomui-17-08-05/axiomui$ ./run.sh
i i i i i i i ooooo o ooooooo ooooo ooooo
I I I I I I I 8 8 8 8 8 o 8 8
I \ `+' / I 8 8 8 8 8 8
\ `-+-' / 8 8 8 ooooo 8oooo
`-__|__-' 8 8 8 8 8
| 8 o 8 8 o 8 8
------+------ ooooo 8oooooo ooo8ooo ooooo 8
Copyright (c) Bruno Haible, Michael Stoll 1992, 1993
Copyright (c) Bruno Haible, Marcus Daniels 1994-1997
Copyright (c) Bruno Haible, Pierpaolo Bernardi, Sam Steingold 1998
Copyright (c) Bruno Haible, Sam Steingold 1999-2000
Copyright (c) Sam Steingold, Bruno Haible 2001-2005
;; Loading file run.lisp ...
;; Loading
file /home/greg/Desktop/axiomui-17-08-05/axiomui/asdf.lisp ...
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS
FORMATTED-SYSTEM-DEFINITION-ERROR> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION PRINT-OBJECT>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION-ERROR> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION PRINT-OBJECT>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
MISSING-DEPENDENCY> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION PRINT-OBJECT>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
MISSING-COMPONENT> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION PRINT-OBJECT>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
COMPONENT>)> dans
#<STANDARD-GENERIC-FUNCTION COMPONENT-SYSTEM>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
COMPONENT> #<BUILT-IN-CLASS T>)> dans
#<STANDARD-GENERIC-FUNCTION PRINT-OBJECT>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
MODULE>)> dans
#<STANDARD-GENERIC-FUNCTION COMPONENT-RELATIVE-PATHNAME>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
COMPONENT>)> dans
#<STANDARD-GENERIC-FUNCTION COMPONENT-PATHNAME>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
COMPONENT> #<BUILT-IN-CLASS T>)> dans
#<STANDARD-GENERIC-FUNCTION COMPONENT-PROPERTY>
.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<BUILT-IN-CLASS T> #<STANDARD-CLASS
COMPONENT> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION (SETF COMPONENT-PROPERTY)>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
COMPONENT> #<BUILT-IN-CLASS T>)> dans
#<STANDARD-GENERIC-FUNCTION VERSION-SATISFIES>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
MODULE> #<BUILT-IN-CLASS T>)> dans
#<STANDARD-GENERIC-FUNCTION FIND-COMPONENT>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD ((EQL NIL)
#<BUILT-IN-CLASS T>)> dans
#<STANDARD-GENERIC-FUNCTION FIND-COMPONENT>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
CL-SOURCE-FILE> #<STANDARD-CLASS MODULE>)>
dans #<STANDARD-GENERIC-FUNCTION SOURCE-FILE-TYPE>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
C-SOURCE-FILE> #<STANDARD-CLASS MODULE>)>
dans #<STANDARD-GENERIC-FUNCTION SOURCE-FILE-TYPE>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS JAVA-SOURCE-FILE>
#<STANDARD-CLASS MODULE>)>
dans #<STANDARD-GENERIC-FUNCTION SOURCE-FILE-TYPE>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
HTML-FILE> #<STANDARD-CLASS MODULE>)> dans
#<STANDARD-GENERIC-FUNCTION SOURCE-FILE-TYPE>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
STATIC-FILE> #<STANDARD-CLASS MODULE>)>
dans #<STANDARD-GENERIC-FUNCTION SOURCE-FILE-TYPE>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
SOURCE-FILE>)> dans
#<STANDARD-GENERIC-FUNCTION COMPONENT-RELATIVE-PATHNAME>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<BUILT-IN-CLASS T>)> dans
#<STANDARD-GENERIC-FUNCTION PRINT-OBJECT>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD :AFTER
(#<STANDARD-CLASS OPERATION> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION SHARED-INITIALIZE>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION>)> dans
#<STANDARD-GENERIC-FUNCTION OPERATION-ANCESTOR>
.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS OPERATION>
#<STANDARD-CLASS COMPONENT> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION VISIT-COMPONENT>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION COMPONENT-VISITED-P>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<BUILT-IN-CLASS T> #<BUILT-IN-CLASS T>
#<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION (SETF VISITING-COMPONENT)>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<BUILT-IN-CLASS T> #<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION (SETF VISITING-COMPONENT)>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION COMPONENT-VISITING-P>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION COMPONENT-DEPENDS-ON>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION COMPONENT-SELF-DEPENDENCIES>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION INPUT-FILES>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS MODULE>)> dans
#<STANDARD-GENERIC-FUNCTION INPUT-FILES>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION OPERATION-DONE-P>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION TRAVERSE>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS SOURCE-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS MODULE>)> dans
#<STANDARD-GENERIC-FUNCTION PERFORM>
.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION EXPLAIN>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD :BEFORE (#<STANDARD-CLASS COMPILE-OP>
#<STANDARD-CLASS SOURCE-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD :AFTER (#<STANDARD-CLASS OPERATION>
#<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS COMPILE-OP>
#<STANDARD-CLASS CL-SOURCE-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS COMPILE-OP>
#<STANDARD-CLASS CL-SOURCE-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION OUTPUT-FILES>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS COMPILE-OP>
#<STANDARD-CLASS STATIC-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS COMPILE-OP>
#<STANDARD-CLASS STATIC-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION OUTPUT-FILES>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS LOAD-OP> #<STANDARD-CLASS
CL-SOURCE-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
LOAD-OP> #<STANDARD-CLASS STATIC-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
LOAD-OP> #<STANDARD-CLASS STATIC-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION OPERATION-DONE-P>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
OPERATION> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION OUTPUT-FILES>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
LOAD-OP> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION COMPONENT-DEPENDS-ON>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS LOAD-SOURCE-OP>
#<STANDARD-CLASS CL-SOURCE-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS LOAD-SOURCE-OP>
#<STANDARD-CLASS STATIC-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS LOAD-SOURCE-OP>
#<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION OUTPUT-FILES>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS LOAD-SOURCE-OP>
#<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION COMPONENT-DEPENDS-ON>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<STANDARD-CLASS LOAD-SOURCE-OP>
#<STANDARD-CLASS SOURCE-FILE>)>
dans #<STANDARD-GENERIC-FUNCTION OPERATION-DONE-P>.
WARNING: On remplace la m=E9thode #<STANDARD-METHOD (#<STANDARD-CLASS
TEST-OP> #<STANDARD-CLASS COMPONENT>)>
dans #<STANDARD-GENERIC-FUNCTION PERFORM>.
WARNING: On remplace la m=E9thode
#<STANDARD-METHOD (#<BUILT-IN-CLASS SYMBOL> #<BUILT-IN-CLASS
T> #<BUILT-IN-CLASS T>)>
dans #<STANDARD-GENERIC-FUNCTION HYPERDOCUMENTATION>.
;; Loaded file /home/greg/Desktop/axiomui-17-08-05/axiomui/asdf.lisp
; loading system definition from axiom-hub.asd into #<PACKAGE ASDF8357>
;; Loading file axiom-hub.asd ...
; registering #<SYSTEM AXIOM-HUB #x000333D17A70> as AXIOM-HUB
;; Loaded file axiom-hub.asd
; loading system definition from cl-ppcre.asd into #<PACKAGE ASDF8693>
;; Loading file cl-ppcre.asd ...
; registering #<SYSTEM #:CL-PPCRE #x000333D2FA40> as CL-PPCRE
;; Loaded file cl-ppcre.asd
; loading system definition from cl-who.asd into #<PACKAGE ASDF8951>
;; Loading file cl-who.asd ...
; registering #<SYSTEM #:CL-WHO #x000333D35E90> as CL-WHO
;; Loaded file cl-who.asd
; loading system definition from cl-ajax.asd into #<PACKAGE ASDF8964>
;; Loading file cl-ajax.asd ...
; registering #<SYSTEM CL-AJAX #x000333D9C3E8> as CL-AJAX
;; Loaded file cl-ajax.asd
; loading system definition from araneida.asd into #<PACKAGE ASDF8969>
;; Loading file araneida.asd ...
; registering #<SYSTEM ARANEIDA #x000333D1CA70> as ARANEIDA
;; Loaded file araneida.asd
*** - component ARANEIDA-SYSTEM::SPLIT-SEQUENCE not found, required by
#<SYSTEM "araneida" #x000333D1CA70>
Rentr=E9es possibles:
SKIP :R1 skip this form and proceed
STOP :R2 stop loading file
ABORT :R3 ABORT
Break 1 [2]>
Cheers,
Greg
From MAILER-DAEMON Wed Aug 17 15:16:36 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5TOu-0003Po-Bk
for mharc-axiom-developer@gnu.org; Wed, 17 Aug 2005 15:16:36 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5TOs-0003PA-RK
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 15:16:34 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5TNg-000328-1G
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 15:15:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5TNY-0002gr-2I
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 15:15:12 -0400
Received: from [64.233.184.199] (helo=wproxy.gmail.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5TOI-00034O-DV
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 15:15:58 -0400
Received: by wproxy.gmail.com with SMTP id i21so197584wra
for <axiom-developer@nongnu.org>; Wed, 17 Aug 2005 11:59:40 -0700 (PDT)
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=beta; d=gmail.com;
h=received:message-id:date:from:user-agent:x-accept-language:mime-version:to:cc:subject:references:in-reply-to:content-type:content-transfer-encoding;
b=Y4j5o9KjlzffEdOztAnvnQWXnQV5tcCBaV9/8qODqGQDXdlC55fFLABz36/2n8wp9M0I1rjvR18Pba1t4kTXUI5LeUnhCZT00ylfNjYy5chLK+cv3psa38Tt4p4EtzzFZGm0P+5/H52pwj56ZG8ZFdiwSSsCL8ubCIBkl3ZHbR8=
Received: by 10.54.40.20 with SMTP id n20mr646409wrn;
Wed, 17 Aug 2005 11:59:40 -0700 (PDT)
Received: from ?192.168.2.101? ([84.159.102.213])
by mx.gmail.com with ESMTP id g7sm2836386wra.2005.08.17.11.59.38;
Wed, 17 Aug 2005 11:59:39 -0700 (PDT)
Message-ID: <43038938.4050703@gmail.com>
Date: Wed, 17 Aug 2005 21:00:08 +0200
From: Kai Kaminski <kai.kaminski@gmail.com>
User-Agent: Mozilla Thunderbird 1.0.2 (Macintosh/20050317)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: =?ISO-8859-1?Q?Vanuxem_Gr=E9gory?= <g.vanuxem@wanadoo.fr>
Subject: Re: [Axiom-developer] AxiomUI code
References: <KHENICFPGDDCIMAIAFHNGEAJCDAA.g.vanuxem@wanadoo.fr>
<1124303299.3821.4.camel@localhost.localdomain>
In-Reply-To: <1124303299.3821.4.camel@localhost.localdomain>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 8bit
Cc: axiom-developer <axiom-developer@nongnu.org>
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 17 Aug 2005 19:16:35 -0000
Vanuxem Grgory wrote:
>Le mercredi 17 aot 2005 19:03 +0200, Vanuxem Grgory a crit :
>
>
>>-----Message d'origine-----
>>De : axiom-developer-bounces+g.vanuxem=wanadoo.fr@nongnu.org
>>[mailto:axiom-developer-bounces+g.vanuxem=wanadoo.fr@nongnu.org]De la
>>part de Kai Kaminski
>>Envoy : mercredi 17 aot 2005 18:16
>> : axiom-developer@nongnu.org
>>Objet : [Axiom-developer] AxiomUI code
>>
>>
>>Hi,
>>
>>an early version of AxiomUI can be found on kaikaminski.gmxhome.de. The
>>only dependency is Clisp. I use 2.34 but earlier version that are not
>>too old should be fine. All Lisp libraries that are needed are contained
>>in the tarball.
>>
>>There is also a README with instructions. It should be as easy as
>>starting a shell script.
>>
>>Kai
>>
>>
>
>Does not work for me.
>
>A pb of split-sequence. Here is the output.
>
>
>
Thanks for testing. I forgot to include some of the libraries. Should be
fixed now.
Kai
From MAILER-DAEMON Wed Aug 17 16:10:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5UF5-00037C-TN
for mharc-axiom-developer@gnu.org; Wed, 17 Aug 2005 16:10:32 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5UEw-00032W-9M
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 16:10:22 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5UEs-00030E-Or
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 16:10:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5UEs-0002yM-Dx
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 16:10:18 -0400
Received: from [64.233.184.194] (helo=wproxy.gmail.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5UMI-0007LR-Cp
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 16:17:58 -0400
Received: by wproxy.gmail.com with SMTP id i21so207919wra
for <axiom-developer@nongnu.org>; Wed, 17 Aug 2005 13:01:39 -0700 (PDT)
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=beta; d=gmail.com;
h=received:message-id:date:from:user-agent:x-accept-language:mime-version:to:subject:content-type:content-transfer-encoding;
b=A1H2onJ/d5Qdjmbvnr9msNFTvTyt4Rp8q49Jvg97/lbMJkgXrez27VaBUeCGUPBXSrSk6v/MGmV2RcvhRN+3Ihy0C2ZNsFZRjxmJIu1osLr9BIUfV7woQ4pETnfXVqRSLTFPAisqwufcQBMKqCMn73NQHOFlLWUPLGi7s6Xu9KA=
Received: by 10.54.22.39 with SMTP id 39mr673638wrv;
Wed, 17 Aug 2005 13:01:37 -0700 (PDT)
Received: from ?192.168.2.101? ([84.159.102.213])
by mx.gmail.com with ESMTP id 66sm3308808wra.2005.08.17.13.01.36;
Wed, 17 Aug 2005 13:01:36 -0700 (PDT)
Message-ID: <430397BE.3060205@gmail.com>
Date: Wed, 17 Aug 2005 22:02:06 +0200
From: Kai Kaminski <kai.kaminski@gmail.com>
User-Agent: Mozilla Thunderbird 1.0.2 (Macintosh/20050317)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: axiom-developer <axiom-developer@nongnu.org>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Subject: [Axiom-developer] AxiomUI code update
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 17 Aug 2005 20:10:25 -0000
Hi,
with Bob's help I found out that you need at least Axiom 3.4 to run my
code. The April 2005 binaries on the Axiom site are that version. Maybe
this should be mentioned on the download page.
Also don't forget to set the AXIOM environment variable as described in
the README. Alternatively you could edit the Lisp source to get the
pathnames right.
Kai
From MAILER-DAEMON Wed Aug 17 18:50:46 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5Wk9-0001T4-HO
for mharc-axiom-developer@gnu.org; Wed, 17 Aug 2005 18:50:45 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5Wk3-0001Qm-QZ
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 18:50:40 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5Wk1-0001OY-8X
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 18:50:38 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5Wk0-0001GF-H9
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 18:50:36 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5Wv8-00025e-Oo
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 19:02:06 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 899F966723;
Wed, 17 Aug 2005 18:45:45 -0400 (EDT)
Received: from corporateex.drdc-rddc.gc.ca (unknown [131.136.1.77])
by fw.drenet.dnd.ca (_) with ESMTP id 711A166725;
Wed, 17 Aug 2005 18:45:42 -0400 (EDT)
Received: by CORPORATEEX with Internet Mail Service (5.5.2653.19)
id <Q2V341GR>; Wed, 17 Aug 2005 18:45:05 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714F769@Corporateex01.Corporate.drdc-rddc.gc.ca>
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: Kai Kaminski <kai.kaminski@gmail.com>
Subject: RE: [Axiom-developer] AxiomUI code update
Date: Wed, 17 Aug 2005 18:44:53 -0400
MIME-Version: 1.0
X-Mailer: Internet Mail Service (5.5.2653.19)
Content-Type: text/plain
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer <axiom-developer@nongnu.org>
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 17 Aug 2005 22:50:41 -0000
Kai,
In your axiomui/README file you wrote:
> ...
> If you use Windows the software should work, but
> I can't tell you how to start it. Look at run.sh,
> run.lisp and axiom-hub.lisp for further info.
So I thought I would give it a try. First I installed
clisp-2.34 in a directory path with no spaces c:\clisp-2.34.
I added c:\clisp-2.34 to the executables PATH and made sure
that I could run in from the MSDOS command line.
I extracted your
http://kaikaminski.gmxhome.de/axiomui-17-08-05.tgz
to c:\axiomui. Then I modified the run.sh to the following
run.bat file:
set AXIOMUI_STATIC_PAGES="C:\axiomui\static-pages"
clisp -norc -i run.lisp
------
Typing 'run' produced the following result:
C:\axiomui>run
C:\axiomui>set AXIOMUI_STATIC_PAGES="C:\axiomui\static-pages"
C:\axiomui>clisp -norc -i run.lisp
i i i i i i i ooooo o ooooooo ooooo ooooo
I I I I I I I 8 8 8 8 8 o 8 8
I \ `+' / I 8 8 8 8 8 8
\ `-+-' / 8 8 8 ooooo 8oooo
`-__|__-' 8 8 8 8 8
| 8 o 8 8 o 8 8
------+------ ooooo 8oooooo ooo8ooo ooooo 8
Copyright (c) Bruno Haible, Michael Stoll 1992, 1993
Copyright (c) Bruno Haible, Marcus Daniels 1994-1997
Copyright (c) Bruno Haible, Pierpaolo Bernardi, Sam Steingold 1998
Copyright (c) Bruno Haible, Sam Steingold 1999-2000
Copyright (c) Sam Steingold, Bruno Haible 2001-2005
;; Loading file C:\axiomui\run.lisp ...
;; Loading file C:\axiomui\asdf.lisp ...
;; Loaded file C:\axiomui\asdf.lisp
*** - component "axiom-hub" not found
The following restarts are available:
SKIP :R1 skip this form and proceed
STOP :R2 stop loading file
ABORT :R3 ABORT
Break 1 [2]>
----------
There seems to be something a little non-portable involving
paths and/or component names in Windows vs. Linux.
In run.lisp you wrote:
(push #P"." asdf:*central-registry*)
Perhaps you need something involving (truename ".")
which returns a real Windows path?
But I don't know enough about clisp on Windows to really
Suggest what might be going wrong here.
Thanks for your hard work!
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 17 22:17:49 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5ZyW-0000ry-Uy
for mharc-axiom-developer@gnu.org; Wed, 17 Aug 2005 22:17:49 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5ZyQ-0000qc-Tv
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:17:43 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5ZyG-0000lL-3C
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:17:33 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5Zy9-0000jL-Rk
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:17:25 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E5a9H-0006om-0X
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:28:55 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7I2CIwl009968;
Wed, 17 Aug 2005 21:12:18 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050817211218-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 17 Aug 2005 21:12:18 -0500
Cc:
Subject: [Axiom-developer] [WishList] Avoid Octave use Scilab
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 02:17:45 -0000
Changes http://page.axiom-developer.org/zope/mathaction/WishList/diff
--
I believe there's a better, faster, more complete choice than Octave. It is called Scilab, and it was developed by the French INRIA (Institute Nationale De Recherche en Informatique et Automation, IIRC), and it is in ongoing development, is very complete (even has a simulation kit).
It is also Open Source. Octave pales in comparison as somewhat of a "toy."
http://scilabsoft.inria.fr/
--
forwarded from http://page.axiom-developer.org/zope/mathaction/WishList#msg20050817211218-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 17 22:17:50 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5ZyX-0000sH-Cq
for mharc-axiom-developer@gnu.org; Wed, 17 Aug 2005 22:17:49 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5ZyQ-0000qY-Td
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:17:43 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5ZyF-0000lE-QA
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:17:32 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5ZyA-0000jL-4p
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:17:26 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E5a92-0006o7-Bb
for axiom-developer@nongnu.org; Wed, 17 Aug 2005 22:28:40 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7I2C1wl009940;
Wed, 17 Aug 2005 21:12:02 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050817211158-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 17 Aug 2005 21:12:01 -0500
Cc:
Subject: [Axiom-developer] [WishList] Avoid Octave use Scilab
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 02:17:46 -0000
Changes http://page.axiom-developer.org/zope/mathaction/WishList/diff
--
I believe there's a better, faster, more complete choice than Octave. It is called Scilab, and it was developed by the French INRIA (Institute Nationale De Recherche en Informatique et Automation, IIRC), and it is in ongoing development, is very complete (even has a simulation kit).
It is also Open Source. Octave pales in comparison as somewhat of a "toy."
http://scilabsoft.inria.fr/
--
forwarded from http://page.axiom-developer.org/zope/mathaction/WishList#msg20050817211158-0500@page.axiom-developer.org
From MAILER-DAEMON Thu Aug 18 03:48:23 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5f8N-0000mg-6U
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 03:48:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5f8B-0000kh-Qg
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 03:48:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5f7r-0000gI-6O
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 03:48:06 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5f7o-0000XK-Bx
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 03:47:45 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E5fF6-00024d-LP
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 03:55:17 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7I7cUwl024464;
Thu, 18 Aug 2005 02:38:30 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050818023826-0500@page.axiom-developer.org>
In-reply-to: <20050817211158-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 18 Aug 2005 02:38:29 -0500
Cc:
Subject: [Axiom-developer] [WishList]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 07:48:13 -0000
Changes http://page.axiom-developer.org/zope/mathaction/WishList/diff
--
Yes but Scilab is NOT free software. One day or the other, you'll pay it (see the BitKeeper issue for Linux kernel).
For reference: on scilab.org web site, FAQ section:
Q6. Is Scilab license GPL-compatible?
According to the Free Software Foundation, Scilab is not a free software.
See http://www.fsf.org/licenses/license-list.html#NonFreeSoftwareLicense.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/WishList#msg20050818023826-0500@page.axiom-developer.org
From MAILER-DAEMON Thu Aug 18 04:33:47 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5fqL-0002ym-JN
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 04:33:45 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5fmV-0002Jx-GN
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 04:29:48 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5fkk-0001iR-Cf
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 04:28:06 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5fkg-0001hn-5u
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 04:27:54 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E5fuT-0004U5-C1
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 04:38:01 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7I8LGwl002054;
Thu, 18 Aug 2005 03:21:16 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050818032115-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 18 Aug 2005 03:21:16 -0500
Cc:
Subject: [Axiom-developer] [WishList]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 08:33:42 -0000
Changes http://page.axiom-developer.org/zope/mathaction/WishList/diff
--
I believe you should also cite Q1 from the license FAQ:
Q1. What does the Scilab license mean?
* Scilab license allows you to:
** use freely Scilab for non commercial use
** use freely Scilab for commercial use if you do not use it as a derived software (ie a modified Scilab) or a composite software (ie Scilab included in another software).
* Scilab license forbids you to:
** use a composite or derived version of Scilab for commercial uses without asking INRIA authorization.
(sorry, couldn't find out how nested bullet point lists work)
--
forwarded from http://page.axiom-developer.org/zope/mathaction/WishList#msg20050818032115-0500@page.axiom-developer.org
From MAILER-DAEMON Thu Aug 18 06:00:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5hBE-0008Jm-8I
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 05:59:24 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5hB8-0008Io-Ar
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 05:59:18 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5hB1-0008Fw-DU
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 05:59:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5hB1-0007ze-3U
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 05:59:11 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E5hCW-0001dE-Rs
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 06:00:45 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7I9iCwl023800;
Thu, 18 Aug 2005 04:44:12 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050818044412-0500@page.axiom-developer.org>
In-reply-to: <20050818032115-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 18 Aug 2005 04:44:12 -0500
Cc:
Subject: [Axiom-developer] [WishList]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 09:59:20 -0000
Changes http://page.axiom-developer.org/zope/mathaction/WishList/diff
--
This Q1 point reinforces my arguments: you cannot modify the software without explicit INRIA's authorization. This is not Free Software. I know that all members of Axiom community are not that sensible to Free Software importance. However I personnally do believe that one cannot build the 30 years horizon envisioned by Tim without using **exclusively** Free Software (as defined by the 4 rules, not only GPLed software). I would never invest time and knowledge in a development where I'm not sure to keep long term control of it.
Yours,
David Mentré
--
forwarded from http://page.axiom-developer.org/zope/mathaction/WishList#msg20050818044412-0500@page.axiom-developer.org
From MAILER-DAEMON Thu Aug 18 07:31:40 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5ibs-0000NQ-6B
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 07:31:00 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5ibm-0000Gp-MX
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 07:30:54 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5ibk-0000Ek-TL
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 07:30:53 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5ibj-0008AI-QG
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 07:30:51 -0400
Received: from [64.233.170.198] (helo=rproxy.gmail.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5iac-0008Gs-E9
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 07:29:42 -0400
Received: by rproxy.gmail.com with SMTP id j1so320535rnf
for <axiom-developer@nongnu.org>; Thu, 18 Aug 2005 04:13:14 -0700 (PDT)
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=beta; d=gmail.com;
h=received:message-id:date:from:user-agent:x-accept-language:mime-version:to:cc:subject:references:in-reply-to:content-type:content-transfer-encoding;
b=WfpUxZzc49+7Tlcx8OQbvThwFLyDgIzyIwd2jxDz0sTMnbsyjerR8G3Xe00ZzpFuco5vXrrTJXwID39AJhiPcdfK9j+RlHGo9lGcgCOZ8Be41qz0cfC7ystEXMFzPSLfVYSqkrzW0VYb41Cv2n4ra78MlkA2/G5g9N7vtzAwaf4=
Received: by 10.38.104.19 with SMTP id b19mr289667rnc;
Thu, 18 Aug 2005 04:13:14 -0700 (PDT)
Received: from ?192.168.2.101? ([84.159.113.180])
by mx.gmail.com with ESMTP id 3sm6340169rnr.2005.08.18.04.13.13;
Thu, 18 Aug 2005 04:13:14 -0700 (PDT)
Message-ID: <43046D67.9070606@gmail.com>
Date: Thu, 18 Aug 2005 13:13:43 +0200
From: Kai Kaminski <kai.kaminski@gmail.com>
User-Agent: Mozilla Thunderbird 1.0.2 (Macintosh/20050317)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: bill.page1@sympatico.ca
Subject: Re: [Axiom-developer] AxiomUI code update
References: <1FFA4B6E1B01844FBF2C537A791A4AC714F769@Corporateex01.Corporate.drdc-rddc.gc.ca>
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714F769@Corporateex01.Corporate.drdc-rddc.gc.ca>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Cc: axiom-developer <axiom-developer@nongnu.org>
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 11:30:56 -0000
Hi Bill,
thanks for trying this on Windows.
Page, Bill wrote:
>Kai,
>
>In your axiomui/README file you wrote:
>
>
>>...
>>If you use Windows the software should work, but
>>I can't tell you how to start it. Look at run.sh,
>>run.lisp and axiom-hub.lisp for further info.
>>
>>
>
>So I thought I would give it a try. First I installed
>clisp-2.34 in a directory path with no spaces c:\clisp-2.34.
>I added c:\clisp-2.34 to the executables PATH and made sure
>that I could run in from the MSDOS command line.
>
>I extracted your
> http://kaikaminski.gmxhome.de/axiomui-17-08-05.tgz
>to c:\axiomui. Then I modified the run.sh to the following
>run.bat file:
>
> set AXIOMUI_STATIC_PAGES="C:\axiomui\static-pages"
> clisp -norc -i run.lisp
>
>
>
That seems to be right. Please do not forget to also set AXIOM though.
Alternatively you could change the path to the AXIOMsys executable in
AXIOM.LISP.
>Typing 'run' produced the following result:
>
>C:\axiomui>run
>
>C:\axiomui>set AXIOMUI_STATIC_PAGES="C:\axiomui\static-pages"
>
>C:\axiomui>clisp -norc -i run.lisp
> i i i i i i i ooooo o ooooooo ooooo ooooo
> I I I I I I I 8 8 8 8 8 o 8 8
> I \ `+' / I 8 8 8 8 8 8
> \ `-+-' / 8 8 8 ooooo 8oooo
> `-__|__-' 8 8 8 8 8
> | 8 o 8 8 o 8 8
> ------+------ ooooo 8oooooo ooo8ooo ooooo 8
>
>Copyright (c) Bruno Haible, Michael Stoll 1992, 1993
>Copyright (c) Bruno Haible, Marcus Daniels 1994-1997
>Copyright (c) Bruno Haible, Pierpaolo Bernardi, Sam Steingold 1998
>Copyright (c) Bruno Haible, Sam Steingold 1999-2000
>Copyright (c) Sam Steingold, Bruno Haible 2001-2005
>
>;; Loading file C:\axiomui\run.lisp ...
>;; Loading file C:\axiomui\asdf.lisp ...
>;; Loaded file C:\axiomui\asdf.lisp
>*** - component "axiom-hub" not found
>The following restarts are available:
>SKIP :R1 skip this form and proceed
>STOP :R2 stop loading file
>ABORT :R3 ABORT
>Break 1 [2]>
>
>----------
>
>There seems to be something a little non-portable involving
>paths and/or component names in Windows vs. Linux.
>
>In run.lisp you wrote:
>
> (push #P"." asdf:*central-registry*)
>
>Perhaps you need something involving (truename ".")
>which returns a real Windows path?
>
>
That line might well be the problem. To see what you have to put there
you should start Clisp and evaluate *DEFAULT-PATHNAME-DEFAULTS*, because
that is what ASDF:*CENTRAL-REGISTRY* is initialized with. That should
give you an idea of what to put there. I believe that TRUENAME only
works on files. You could try to set another environment variable,
AXIOMUI_ROOT say, that contains the right path and then use EXT:GETENV
(see AXIOM.LISP) to push its content onto ASDF:*CENTRAL-REGISTRY*.
>But I don't know enough about clisp on Windows to really
>Suggest what might be going wrong here.
>
>
I wish I could tell you more, but despite my best efforts I don't have a
Windows machine to test. If you can get it to work please send me the
RUN.BAT file, so that I can include it in the future.
If you have further troubles, I'm almost always on #axiom-developer.
Kai
From MAILER-DAEMON Thu Aug 18 09:49:28 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5kls-0001fW-AA
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 09:49:28 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5klp-0001ep-UB
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 09:49:26 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5klo-0001eQ-9E
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 09:49:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5khf-0000BI-Rz
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 09:45:07 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E5knQ-0002iy-EO
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 09:51:04 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7IDYQwl016673;
Thu, 18 Aug 2005 08:34:26 -0500
From: mathaction@axiom-developer.org (kai Kaminski)
To: mathaction@axiom-developer.org
Message-ID: <20050818083426-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 18 Aug 2005 08:34:26 -0500
Cc:
Subject: [Axiom-developer] [Axiom In Emacs]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 13:49:26 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AxiomInEmacs/diff
--
??changed:
-On July 18, 2005 11:50 AM Kai Kaminski wrote:
-
-This is a tiny Emacs major mode for BOOT code. It supports very
-rudimentary syntax highlighting and (un)comment-region. To use it,
-put the file <tt>boot-mode.el</tt> somewhere in your <tt>load-path</tt>
-and add <tt>(require 'boot-mode)</tt> to your <tt>.emacs</tt>.
-You can activate the mode through <tt>M-x boot-mode RET</tt>.
-
-<a href="boot-mode.el">boot-mode.el</a>
-
<h3>Editing Axiom's Source Code</h3>
Emacs can be configured to make editing Axiom's source code much easier. First of all you have to put <a href="boot-mode.el"><tt>boot-mode.el</tt></a> and <tt>noweb-mode.el</tt> (included in the noweb distribution, which in turn is included in the Axiom distribution) into your <tt>load-path</tt>. Then you add the following to your <tt>.emacs</tt>:
<pre>
;; NOWEB-MODE
(require 'noweb-mode)
(defun kai:set-code-mode ()
(let* ((filename (buffer-file-name)))
(let ((end (string-match "\\.pamphlet" filename)))
(noweb-set-code-mode
(assoc-default (substring filename 0 end)
auto-mode-alist
'string-match
'fundamental-mode)))))
(add-hook 'noweb-mode-hook 'kai:set-code-mode)
;; BOOT-MODE
(require 'boot-mode)
;; AUTO-MODE-ALIST
(setq auto-mode-alist
(list*
'(".*\\.pamphlet" . noweb-mode)
'(".*\\.boot" . boot-mode)
'(".*\\.lisp" . lisp-mode)
'(".*\\.c" . c-mode)
auto-mode-alist))
</pre>
This code tries to automatically set the code mode in noweb, which only works for files with names of the form <tt>file.ext.pamphlet</tt>, where <tt>ext</tt> indicates the code mode. For example, <tt>sockio.lisp.pamphlet</tt> would have its code mode set to <tt>lisp-mode</tt> and <tt>nci.boot.pamphlet</tt> to <tt>boot-mode</tt>. If the auto-detection can't decide on a mode it uses <tt>fundamental-mode</tt>.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AxiomInEmacs#msg20050818083426-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 18 11:03:29 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5lvV-00042Q-Ax
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 11:03:29 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5lvS-0003zR-U2
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:03:27 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5lvQ-0003wI-Cp
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:03:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5lsU-0002Bs-Iu
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:00:22 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5lzB-0001PS-6R
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:07:17 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7IEnmHw027562;
Thu, 18 Aug 2005 16:50:05 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17156.40860.718862.754420@seam101.local>
Date: Thu, 18 Aug 2005 16:47:56 +0200
To: Kai Kaminski <kai.kaminski@gmail.com>
Subject: Re: [Axiom-developer] AxiomUI code
In-Reply-To: <430362B5.6010802@gmail.com>
References: <430362B5.6010802@gmail.com>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=2 Fuz1=2 Fuz2=2
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 15:03:27 -0000
Dear Kai,
unfortunaltely, I can't get it to work.
Using Version: Axiom 3.6 (June 2005) I get
[rubey@seam101 axiomui]$ ./run.sh
i i i i i i i ooooo o ooooooo ooooo ooooo
I I I I I I I 8 8 8 8 8 o 8 8
I \ `+' / I 8 8 8 8 8 8
\ `-+-' / 8 8 8 ooooo 8oooo
`-__|__-' 8 8 8 8 8
| 8 o 8 8 o 8 8
------+------ ooooo 8oooooo ooo8ooo ooooo 8
Copyright (c) Bruno Haible, Michael Stoll 1992, 1993
Copyright (c) Bruno Haible, Marcus Daniels 1994-1997
Copyright (c) Bruno Haible, Pierpaolo Bernardi, Sam Steingold 1998
Copyright (c) Bruno Haible, Sam Steingold 1999-2002
;; Loading file run.lisp ...
;; Loading file /home/rubey/Documents/axiomui/asdf.lisp ...
;; Loaded file /home/rubey/Documents/axiomui/asdf.lisp
*** - ; FUNCALL: the function ; NIL is undefined
; 1. Break ; [; 1]> :bt
EVAL frame for form
; (FORMAT ASDF::*VERBOSE-OUT* ~A~@:>~%" ASDF::ON-DISK *PACKAGE*)
EVAL frame for form ; (LET (:ASDF)))) *PACKAGE*) ASDF::ON-DISK))
EVAL frame for form ; (WHEN ASDF::ON-DISK)))) ASDF::ON-DISK)))
EVAL frame for form ; (LET* ASDF::NAME))) ASDF::ON-DISK))) ASDF::NAME)))))
APPLY frame for call (; FIND-SYSTEM '; COMMON-LISP-USER::AXIOM-HUB)
EVAL frame for form ; (FIND-SYSTEM SYSTEM)
EVAL frame for form ; (IF 'COMPONENT) SYSTEM SYSTEM))
EVAL frame for form
; (LET*
; ((ASDF::OP
; (APPLY #'MAKE-INSTANCE ASDF::OPERATION-CLASS :ORIGINAL-INITARGS ASDF::ARGS
; ASDF::ARGS))
; (MAKE-BROADCAST-STREAM))) SYSTEM))) SYSTEM)))
; (LET *ERROR-OUTPUT*)) (SYSTEM::C-REPORT-PROBLEMS))
; (PROGV
; (WHEN SYSTEM::*C-TOP-CALL*
; '(SYSTEM::*ERROR-COUNT* SYSTEM::*WARNING-COUNT*
; SYSTEM::*STYLE-WARNING-COUNT*))
; 0))
; (UNWIND-PROTECT
; (LET (NIL))
; (LET (ASDF::STEPS))
; (TAGBODY SYSTEM::BEGIN-LOOP
; (PROGN SYSTEM::END-LOOP))
; (LET #:G693)))
; (BLOCK NIL
; (TAGBODY #:G694
; (BLOCK #:G697
; (LET (#:G698)
; (TAGBODY
; (LET*
; ((SYSTEM::*ACTIVE-RESTARTS*
; (LIST*
; (SYSTEM::MAKE-RESTART :NAME 'RETRY :INVOKE-FUNCTION
; #'(LAMBDA SYSTEM::ARGUMENTS) #:G695)))) SYSTEM::ARGUMENTS)
; #:G695))
; :REPORT COMPONENT)))
; (SYSTEM::MAKE-RESTART :NAME 'ACCEPT :INVOKE-FUNCTION
; #'(LAMBDA SYSTEM::ARGUMENTS) #:G696)))) SYSTEM::ARGUMENTS)
; #:G696))
; :REPORT
; #'(LAMBDA (ASDF::S)
; (DECLARE
; (SYSTEM::SOURCE
; ((ASDF::S)
; (FORMAT ASDF::S
; "~@<Continue, treating ~S on ~S as ~
; having been successful.~@:>"
; ASDF::OP COMPONENT))))
; (FORMAT ASDF::S
; "~@<Continue, treating ~S on ~S as ~
; having been successful.~@:>"
; ASDF::OP COMPONENT)))
; SYSTEM::*ACTIVE-RESTARTS*)))
; NIL))))
; #:G695 #:G698)) #:G696 #:G698)))))
; #:G694)))))
; #:G692)) SYSTEM::BEGIN-LOOP) SYSTEM::END-LOOP)))
; (SYSTEM::C-REPORT-PROBLEMS))))))
APPLY frame for call (; OPERATE '; LOAD-OP '; COMMON-LISP-USER::AXIOM-HUB)
EVAL frame for form ; (APPLY #'OPERATE ASDF::ARGS)
APPLY frame for call (; OOS '; LOAD-OP '; COMMON-LISP-USER::AXIOM-HUB)
EVAL frame for form ; (OOS 'LOAD-OP 'COMMON-LISP-USER::AXIOM-HUB)
Printed ; 11 frames
; 1. Break ; [; 1]>
Kai Kaminski writes:
> Hi,
>
> an early version of AxiomUI can be found on kaikaminski.gmxhome.de. The
> only dependency is Clisp. I use 2.34 but earlier version that are not
> too old should be fine. All Lisp libraries that are needed are contained
> in the tarball.
>
> There is also a README with instructions. It should be as easy as
> starting a shell script.
>
> Kai
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
From MAILER-DAEMON Thu Aug 18 11:28:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5mKB-0003BE-Es
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 11:28:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5mIf-000206-64
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:27:28 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5mIT-0001iF-G0
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:27:20 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5mIR-0001Nn-Hx
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:27:11 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E5mPc-0004K7-2l
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 11:34:36 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7IFHLHw035167;
Thu, 18 Aug 2005 17:17:26 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17156.42520.276895.848251@seam101.local>
Date: Thu, 18 Aug 2005 17:15:36 +0200
To: Kai Kaminski <kai.kaminski@gmx.de>
Subject: Re: [Axiom-developer] AxiomUI code
In-Reply-To: <m2pssbb7m6.fsf@Pupone.local>
References: <430362B5.6010802@gmail.com>
<17156.40860.718862.754420@seam101.local>
<m2pssbb7m6.fsf@Pupone.local>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 15:28:57 -0000
clisp --version
GNU CLISP 2.30 (released 2002-09-15) (built on klama.mandrake.org)
Features:
(CLOS LOOP COMPILER CLISP ANSI-CL COMMON-LISP LISP=CL INTERPRETER SOCKETS
GENERIC-STREAMS LOGICAL-PATHNAMES SCREEN FFI UNICODE BASE-CHAR=CHARACTER PC386
UNIX)
Kai Kaminski writes:
>
> Hi Martin,
>
> thanks a lot for trying. Since it seems to fail rather early it might
> be an incompatibility between ASDF and your version of Clisp. Could
> you please tell me what 'clisp --version' says?
>
> Next time I'll instrument my code with more debug code, so that this
> kind of information is automatically included in the output.
>
> Thanks,
> Kai
From MAILER-DAEMON Thu Aug 18 12:33:51 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5nKx-0006cz-17
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 12:33:51 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5nKr-0006Yd-G1
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 12:33:45 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5nKm-0006VV-A8
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 12:33:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5nKl-0006SH-QH
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 12:33:39 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E5nPD-0000bd-5s
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 12:38:15 -0400
Received: (qmail invoked by alias); 18 Aug 2005 16:21:43 -0000
Received: from p549F71B4.dip.t-dialin.net (EHLO Pupone.local) [84.159.113.180]
by mail.gmx.net (mp024) with SMTP; 18 Aug 2005 18:21:43 +0200
X-Authenticated: #7158753
X-From-Line: nobody Thu Aug 18 17:42:44 2005
To: Martin Rubey <martin.rubey@univie.ac.at>
Subject: Re: [Axiom-developer] AxiomUI code
References: <430362B5.6010802@gmail.com>
<17156.40860.718862.754420@seam101.local>
<m2pssbb7m6.fsf@Pupone.local>
<17156.42520.276895.848251@seam101.local>
From: Kai Kaminski <kai.kaminski@gmail.com>
In-Reply-To: <17156.42520.276895.848251@seam101.local> (Martin Rubey's
message of "Thu, 18 Aug 2005 17:15:36 +0200")
User-Agent: Gnus/5.11 (Gnus v5.11) Emacs/21.3.50 (darwin)
Lines: 32
Date: Thu, 18 Aug 2005 18:22:14 +0200
Message-ID: <m2k6ij2p1l.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 16:33:47 -0000
Martin,
thanks for the quick reply.
Martin Rubey <martin.rubey@univie.ac.at> writes:
> clisp --version
> GNU CLISP 2.30 (released 2002-09-15) (built on klama.mandrake.org)
> Features:
> (CLOS LOOP COMPILER CLISP ANSI-CL COMMON-LISP LISP=CL INTERPRETER SOCKETS
> GENERIC-STREAMS LOGICAL-PATHNAMES SCREEN FFI UNICODE BASE-CHAR=CHARACTER PC386
> UNIX)
This is definitely a problem. The (somewhat related) ASDF-INSTALL
tutorial from Edi Weitz says the following:
Note: CLISP 2.32 cannot compile ASDF due to being not fully
ANSI-compliant. You can download a compiled version (which should work
with all operating systems supported by CLISP) from
http://weitz.de/files/asdf.fas. Newer versions (like 2.33.2) can
compile ASDF, though.
It should be enough to download that asdf.fas file from him and put it
in the same directory as run.sh, but since installing Clisp is really
easy I'd recommend that. Maybe your distribution offers newer
versions, too. The newest version is 2.34, but 2.33.2 should work as I
have used that myself in the past.
Thanks,
Kai
From MAILER-DAEMON Thu Aug 18 17:28:39 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5rwE-0003Io-Ny
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 17:28:38 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5rwC-0003I5-Q8
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 17:28:36 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5ruU-0002ml-O9
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 17:27:06 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5ruN-0002bl-Jv
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 17:26:44 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E5rsE-000540-Bj
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 17:24:30 -0400
Received: (qmail invoked by alias); 18 Aug 2005 21:07:55 -0000
Received: from p549F71B4.dip.t-dialin.net (EHLO Pupone.local) [84.159.113.180]
by mail.gmx.net (mp012) with SMTP; 18 Aug 2005 23:07:55 +0200
X-Authenticated: #7158753
To: axiom-developer@nongnu.org
From: Kai Kaminski <kai.kaminski@gmail.com>
Date: Thu, 18 Aug 2005 23:08:25 +0200
Message-ID: <m21x4rhs1i.fsf@Pupone.local>
User-Agent: Gnus/5.11 (Gnus v5.11) Emacs/21.3.50 (darwin)
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Subject: [Axiom-developer] Function definition crashes Axiom
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 21:28:37 -0000
Hi everyone,
I'm currently rebuilding parts of the HyperDoc documentation. One page
(ug06.[p]ht) contains the following commands:
addx x == ((y: Integer): Integer +-> x + y)
g := addx 10
When I enter those commands at the Axiom toplevel, Axiom crashes due
to a segmentation fault. I'm using version 3.8 (patch-43) freshly
built on Ubuntu 5.04. I'm pretty sure that I haven't modified the
source code prior to compiling it, but I'll rebuild it to be sure, if
noone else has this problem.
Thanks,
Kai
From MAILER-DAEMON Thu Aug 18 18:56:45 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5tJU-0007IX-N2
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 18:56:45 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5tJR-0007GG-08
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 18:56:41 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5tJM-0007Dj-AS
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 18:56:37 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5tJL-00079w-6g
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 18:56:35 -0400
Received: from [69.36.241.242] (helo=moya.mcelrath.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E5tRV-0000d5-BY
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 19:05:01 -0400
Received: from moya.mcelrath.org (mcelrath@localhost [127.0.0.1])
by moya.mcelrath.org (8.13.4/8.13.4/Debian-3) with ESMTP id
j7IMmN5p027045
(version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NOT);
Thu, 18 Aug 2005 15:48:23 -0700
Received: (from mcelrath@localhost)
by moya.mcelrath.org (8.13.4/8.13.4/Submit) id j7IMmMCc027042;
Thu, 18 Aug 2005 15:48:22 -0700
X-Authentication-Warning: moya.mcelrath.org: mcelrath set sender to
bob+axiom@mcelrath.org using -f
Date: Thu, 18 Aug 2005 15:48:22 -0700
From: Bob McElrath <bob+axiom@mcelrath.org>
To: Kai Kaminski <kai.kaminski@gmail.com>
Subject: Re: [Axiom-developer] Function definition crashes Axiom
Message-ID: <20050818224822.GB26931@mcelrath.org>
Mail-Followup-To: Kai Kaminski <kai.kaminski@gmail.com>,
axiom-developer@nongnu.org
References: <m21x4rhs1i.fsf@Pupone.local>
Mime-Version: 1.0
Content-Type: multipart/signed; micalg=pgp-sha1;
protocol="application/pgp-signature"; boundary="GRPZ8SYKNexpdSJ7"
Content-Disposition: inline
In-Reply-To: <m21x4rhs1i.fsf@Pupone.local>
User-Agent: Mutt/1.5.6+20040523i
X-Virus-Scanned: ClamAV 0.86.2/1034/Thu Aug 18 13:07:58 2005 on
moya.mcelrath.org
X-Virus-Status: Clean
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 18 Aug 2005 22:56:42 -0000
--GRPZ8SYKNexpdSJ7
Content-Type: text/plain; charset=us-ascii
Content-Disposition: inline
Kai Kaminski [kai.kaminski@gmail.com] wrote:
>
> Hi everyone,
>
> I'm currently rebuilding parts of the HyperDoc documentation. One page
> (ug06.[p]ht) contains the following commands:
>
> addx x == ((y: Integer): Integer +-> x + y)
>
> g := addx 10
>
> When I enter those commands at the Axiom toplevel, Axiom crashes due
> to a segmentation fault. I'm using version 3.8 (patch-43) freshly
> built on Ubuntu 5.04. I'm pretty sure that I haven't modified the
> source code prior to compiling it, but I'll rebuild it to be sure, if
> noone else has this problem.
On both axiom 3.0 and 3.4 these two commands also segfault.
So, I don't think it's you. ;)
--
Cheers,
Bob McElrath [Univ. of California at Davis, Department of Physics]
"One of the best ways to get yourself a reputation as a dangerous citizen
these days is to go about repeating the very phrases which our founding
fathers used in the great struggle for independence." --Charles A. Beard
--GRPZ8SYKNexpdSJ7
Content-Type: application/pgp-signature; name="signature.asc"
Content-Description: Digital signature
Content-Disposition: inline
-----BEGIN PGP SIGNATURE-----
Version: GnuPG v1.2.4 (GNU/Linux)
iD8DBQFDBRA2jwioWRGe9K0RAi4iAKCqDuVP6slgZbsEWSVIoK5dzI2UgwCeKdxV
olBUmUTg/xTfr12jFPK1VkU=
=1cg+
-----END PGP SIGNATURE-----
--GRPZ8SYKNexpdSJ7--
From MAILER-DAEMON Thu Aug 18 22:33:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E5wgz-0005tA-TF
for mharc-axiom-developer@gnu.org; Thu, 18 Aug 2005 22:33:14 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E5wgy-0005t4-7L
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 22:33:12 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E5wgw-0005sr-Os
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 22:33:11 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E5wgw-0005so-MY
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 22:33:10 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E5wqG-0004zx-7v
for axiom-developer@nongnu.org; Thu, 18 Aug 2005 22:42:48 -0400
Received: (qmail invoked by alias); 19 Aug 2005 02:26:10 -0000
Received: from p549F71B4.dip.t-dialin.net (EHLO Pupone.local) [84.159.113.180]
by mail.gmx.net (mp001) with SMTP; 19 Aug 2005 04:26:10 +0200
X-Authenticated: #7158753
X-From-Line: nobody Fri Aug 19 03:47:06 2005
To: axiom-developer@nongnu.org
From: Kai Kaminski <kai.kaminski@gmail.com>
Date: Fri, 19 Aug 2005 03:47:04 +0200
User-Agent: Gnus/5.11 (Gnus v5.11) Emacs/21.3.50 (darwin)
Lines: 6
Message-ID: <m264u2k6fy.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Subject: [Axiom-developer] Broken link on front page
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 02:33:12 -0000
The link to the issue tracker on the front page is broken. While the
path is correct, it points to localhost, which won't work in most
cases.
Kai
From MAILER-DAEMON Fri Aug 19 04:32:37 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E62Im-0008Vy-6x
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 04:32:36 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E62IM-0008TH-9A
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 04:32:13 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E62IG-0008Sg-L3
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 04:32:08 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E62Fr-0008Ae-Ks
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 04:29:35 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E62LN-0007IC-PQ
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 04:35:17 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7J8I6wl002169;
Fri, 19 Aug 2005 03:18:06 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050819031805-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 19 Aug 2005 03:18:06 -0500
Cc:
Subject: [Axiom-developer] [#188 the do instruction doesn't display any
result] This is intended behaviour
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 08:32:15 -0000
Changes http://page.axiom-developer.org/zope/mathaction/188TheDoInstructionDoesntDisplayAnyResult/diff
--
Status: open => rejected
--
forwarded from http://page.axiom-developer.org/zope/mathaction/188TheDoInstructionDoesntDisplayAnyResult#msg20050819031805-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 19 07:33:45 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6583-0002BU-Bt
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 07:33:43 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E657w-00029d-NL
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:33:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E657u-00028h-MM
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:33:35 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E657t-0001pe-16
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:33:33 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E653m-0001KG-Et
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:29:18 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7JBCWwl013914;
Fri, 19 Aug 2005 06:12:32 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050819061232-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 19 Aug 2005 06:12:32 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),x) is not handled ]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 11:33:38 -0000
Changes http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
??changed:
- AXIOM Computer Algebra System
- Version: Axiom 3.6 (June 2005)
- Timestamp: Wednesday July 27, 2005 at 12:16:43
-
------------------------------------------------------------------------------
- Issue )copyright to view copyright notices.
- Issue )summary for a summary of useful system commands.
- Issue )quit to leave AXIOM and return to shell.
-
------------------------------------------------------------------------------
-
- Re-reading compress.daase Re-reading interp.daase
- Re-reading operation.daase
- Re-reading category.daase
- Re-reading browse.daase
- (1) ->
- (1) -> integrate(sin(x**2),x)
- UserDefinedPartialOrdering
- x
-[6 more lines...]
\begin{axiom}
integrate(sin(x**2),x)
\end{axiom}
However::
--removed:
-
-From starseeker Fri Aug 19 06:07:36 -0500 2005
-From: starseeker
-Date: Fri, 19 Aug 2005 06:07:36 -0500
-Subject: Hmm - formatting of text failed
-Message-ID: <20050819060736-0500@page.axiom-developer.org>
-
-\begin{axiom}
-integrate(sin(x**2),x)
-\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050819061232-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 19 07:34:39 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E658x-0002UT-3c
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 07:34:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E658u-0002U0-Bl
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:34:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E658W-0002Ke-0j
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:34:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E658P-0001pe-Sn
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:34:06 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E64z1-00017t-JN
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:24:23 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7JB7bwl012453;
Fri, 19 Aug 2005 06:07:37 -0500
From: mathaction@axiom-developer.org (starseeker)
To: mathaction@axiom-developer.org
Message-ID: <20050819060736-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 19 Aug 2005 06:07:37 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),
x) is not handled ] Hmm - formatting of text failed
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 11:34:37 -0000
Changes http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
\begin{axiom}
integrate(sin(x**2),x)
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050819060736-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 19 07:35:01 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E659I-0002Yh-TK
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 07:35:01 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E659E-0002Xf-LJ
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:34:57 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E659C-0002X2-TM
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:34:55 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E658W-0001pe-Cz
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:34:12 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E64xV-00013J-6A
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:22:49 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7JB61wl012266;
Fri, 19 Aug 2005 06:06:02 -0500
From: mathaction@axiom-developer.org (anonymous)
To: mathaction@axiom-developer.org
Message-ID: <20050819060559-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 19 Aug 2005 06:06:01 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),
x) is not handled ] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 11:34:58 -0000
Changes http://www.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
Axiom doesn't seem to do the integral of sin(x^2), but both Maxima and Mathematica (per http://integrals.wolfram.com/ anyway) produce answers. Confirmed by Martin Rubey, and uploaded at his request to IssueTracker.
CY
AXIOM Computer Algebra System
Version: Axiom 3.6 (June 2005)
Timestamp: Wednesday July 27, 2005 at 12:16:43
-----------------------------------------------------------------------------
Issue )copyright to view copyright notices.
Issue )summary for a summary of useful system commands.
Issue )quit to leave AXIOM and return to shell.
-----------------------------------------------------------------------------
Re-reading compress.daase Re-reading interp.daase
Re-reading operation.daase
Re-reading category.daase
Re-reading browse.daase
(1) ->
(1) -> integrate(sin(x**2),x)
UserDefinedPartialOrdering
x
++ 2
(1) | sin(%I )d%I
++
Type: Union(Expression
Integer,...)
(2) ->
Maxima 5.9.1.1cvs http://maxima.sourceforge.net
Using Lisp CMU Common Lisp 19b (19B)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
This is a development version of Maxima. The function bug_report()
provides bug reporting information.
(%i1) integrate(sin(x**2),x);
(sqrt(2) %i + sqrt(2)) x
(%o1) sqrt(%pi) ((sqrt(2) %i + sqrt(2)) erf(------------------------)
2
(sqrt(2) %i - sqrt(2)) x
+ (sqrt(2) %i - sqrt(2)) erf(------------------------))/8
2
(%i2)
--
forwarded from http://www.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050819060559-0500@www.axiom-developer.org
From MAILER-DAEMON Fri Aug 19 07:53:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E65RW-0008O2-09
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 07:53:50 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E65RO-0008K7-Px
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:53:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E65RE-00087w-Rp
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:53:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E65RE-000825-CV
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:53:32 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E65b4-0003hF-Bh
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 08:03:42 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7JBjNHw085254;
Fri, 19 Aug 2005 13:45:25 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17157.50663.902073.63299@seam101.local>
Date: Fri, 19 Aug 2005 13:43:35 +0200
To: Martin Rubey <martin.rubey@univie.ac.at>
In-Reply-To: <17157.50495.195476.303762@seam101.local>
References: <17157.38196.56821.278269@seam101.local>
<20050819110912.84861.qmail@web31708.mail.mud.yahoo.com>
<17157.50495.195476.303762@seam101.local>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 11:53:46 -0000
I'm resending this because I'm not sure whether it got through...
Thank you!
C Y writes:
> Well, I tried :-). Formatting is a hash, I'm afraid - is there a way
> to paste formatted text I missed?
Yes, just look at the edited text. "::" + indented text is our friend.
and thanks again for spotting the bug. Now: go ahead and fix it :-) A starting
point might be the following:
)tr FSCINT )math
)tr INTEF )math
)tr INTTR )math
)tr INTAF )math
)tr INTPM )math
)tr INTALG )math
integrate(sin(x^2),x)
If you know the Risch algorithm, you can certainly spot the point where it
should have done something but didn't do :-)
Unfortunately Manuel Bronstein died. I don't know anybody who would be able to
document these routines.
Martin
From MAILER-DAEMON Fri Aug 19 07:54:09 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E65Rp-0000Ba-0j
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 07:54:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E65RT-0008Mi-3f
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:53:48 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E65RL-0008IL-Mx
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:53:44 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E65RK-000825-Pa
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 07:53:38 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E65XV-0003WX-RP
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 08:00:02 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7JBgXHw084301;
Fri, 19 Aug 2005 13:42:36 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17157.50495.195476.303762@seam101.local>
Date: Fri, 19 Aug 2005 13:40:47 +0200
To: C Y <smustudent1@yahoo.com>
In-Reply-To: <20050819110912.84861.qmail@web31708.mail.mud.yahoo.com>
References: <17157.38196.56821.278269@seam101.local>
<20050819110912.84861.qmail@web31708.mail.mud.yahoo.com>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=2 Fuz1=2 Fuz2=2
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 11:54:07 -0000
Thank you!
C Y writes:
> Well, I tried :-). Formatting is a hash, I'm afraid - is there a way
> to paste formatted text I missed?
Yes, just look at the edited text. "::" + indented text is our friend.
and thanks again for spotting the bug. Now: go ahead and fix it :-) A starting
point might be the following:
)tr FSCINT )math
)tr INTEF )math
)tr INTTR )math
)tr INTAF )math
)tr INTPM )math
)tr INTALG )math
integrate(sin(x^2),x)
If you know the Risch algorithm, you can certainly spot the point where it
should have done something but didn't do :-)
Unfortunately Manuel Bronstein died. I don't know anybody who would be able to
document these routines.
Martin
From MAILER-DAEMON Fri Aug 19 09:38:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E674b-0002Qh-RM
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 09:38:19 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E673w-0002HM-J0
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 09:37:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E673r-0002Fy-Qe
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 09:37:33 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E673n-0002CP-V9
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 09:37:28 -0400
Received: from [68.142.201.191] (helo=web31711.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E67FJ-0002qw-5S
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 09:49:21 -0400
Received: (qmail 67538 invoked by uid 60001); 19 Aug 2005 13:32:35 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=EdZo9W1EATUoPtqmPWns5VwnCptDlnKHfrgVOwFy6/rqPQjU8eO6JBNCbFAVU9xFVxJ2iMP4fgavHN7rthod8b3LRsHd61jdiMDJ11en6Ksr1HO9UyVwL4iJbGnNgT2VmDNYq6LY6AuacLLwqJGQsDwpO1eCJiTLwZlIYO6oNg8=
;
Message-ID: <20050819133235.67536.qmail@web31711.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31711.mail.mud.yahoo.com via HTTP;
Fri, 19 Aug 2005 06:32:35 PDT
Date: Fri, 19 Aug 2005 06:32:35 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
To: Martin Rubey <martin.rubey@univie.ac.at>, smustudent1@yahoo.com
In-Reply-To: <17157.50495.195476.303762@seam101.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 13:37:40 -0000
--- Martin Rubey <martin.rubey@univie.ac.at> wrote:
> Thank you!
>
> C Y writes:
> > Well, I tried :-). Formatting is a hash, I'm afraid - is there a
> way
> > to paste formatted text I missed?
>
> Yes, just look at the edited text. "::" + indented text is our
> friend.
Ah :-).
> and thanks again for spotting the bug. Now: go ahead and fix it :-)
No problem - I'm beginning to think Axiom is where the most interesting
work on CAS will occur. I suspect you came to this conclusion long
ago, but I'm beginning to think the Maxima source code will require
such a determined effort to improve to a decent point that it might be
best to just impliment all the features it has that Axiom doesn't in
Axiom. I'm finding myself posting suggestions that look remarkably
like the ones you were making early on, and at some point after that
(IIRC) you popped up on the Axiom lists :-). I sense a pattern...
although I must say I prefer Maxima's ASCII display to Axiom's, at
least for easy reading. I wonder how hard that would be to impliment?
Re: fixing bug - Well, I can give it a shot if it's simple to find...
I've got some learning to do though. Me thinks the Risch algorithm
would be a rather ambitious way to try getting the hang of the Axiom
source code...
> A starting point might be the following:
>
> )tr FSCINT )math
> )tr INTEF )math
> )tr INTTR )math
> )tr INTAF )math
> )tr INTPM )math
> )tr INTALG )math
>
> integrate(sin(x^2),x)
>
> If you know the Risch algorithm, you can certainly spot the point
> where it should have done something but didn't do :-)
Ah, yes - the Risch algorithm. Do you happen to know if the full
algorithm is described online anywhere? Ideally both Risch's algorithm
and the extensions by Cherry et. al. for special functions would be
formally implimented (or documented since a fair part of it must
already be present.) Apparently nobody impliments the full algorithm
due to complexity?: http://mathworld.wolfram.com/RischAlgorithm.html
I wonder if it's too complex for the Axiom system, given the structure
it has in place. I've never studied it, but given how critical it is
to both systems it's high time I learned about it.
> Unfortunately Manuel Bronstein died. I don't know anybody who would
> be able to document these routines.
Well, when the great fall the lesser must pick up the torch. I need to
get ahold of some basic materials (Bronstein's books would be useful,
I'd wager :-) and get as much up to speed as my brain allows. I need
to learn Axiom's guts anyway and this sounds like a possibly useful
way. Maybe I could warm up by implimenting a physical units domain in
Axiom, although lord knows how I'd convince it to display things in the
form (numbers and variables)*units, or recognize Newtons out of
a*kg*b*s^-2*c*m. Does Axiom have provisions for non-standard display
conventions and substitution like that?
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Fri Aug 19 10:32:08 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E67ui-0005kk-GZ
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 10:32:08 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E67ug-0005jt-10
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:32:06 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E67ue-0005jB-7X
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:32:05 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E67s5-0004ci-FZ
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:29:25 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E67ci-0005Jf-C7
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:13:32 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7JDu7Hw029055;
Fri, 19 Aug 2005 15:56:16 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17157.58509.664325.741173@seam101.local>
Date: Fri, 19 Aug 2005 15:54:21 +0200
To: C Y <smustudent1@yahoo.com>
In-Reply-To: <20050819133235.67536.qmail@web31711.mail.mud.yahoo.com>
References: <17157.50495.195476.303762@seam101.local>
<20050819133235.67536.qmail@web31711.mail.mud.yahoo.com>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4249; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 14:32:06 -0000
C Y writes:
> Re: fixing bug - Well, I can give it a shot if it's simple to find...
Well, what you need to find out is how the Risch algorithm would handle
sin(x^2). Maybe it is simply handled by pattern matching, as exp(-x^2) is... In
this case, fixing it would be easy. Mathematica also has a representation for
sin(x^n), but I don't know whether it is "useful". (It's in terms of incomplete
Gamma functions)
> I've got some learning to do though. Me thinks the Risch algorithm
> would be a rather ambitious way to try getting the hang of the Axiom
> source code...
Note that Axioms source is very nicely split into two parts: the "Algebra",
implementing its mathematical capabilities, and the rest (compiler,
interpreter, display, graphics, ...)
> Ah, yes - the Risch algorithm. Do you happen to know if the full
> algorithm is described online anywhere? Ideally both Risch's algorithm
> and the extensions by Cherry et. al. for special functions would be
> formally implimented (or documented since a fair part of it must
> already be present.) Apparently nobody impliments the full algorithm
> due to complexity?: http://mathworld.wolfram.com/RischAlgorithm.html
> I wonder if it's too complex for the Axiom system, given the structure
> it has in place. I've never studied it, but given how critical it is
> to both systems it's high time I learned about it.
If you are interested, it's certainly worth the effort.
> > Unfortunately Manuel Bronstein died. I don't know anybody who would
> > be able to document these routines.
>
> Well, when the great fall the lesser must pick up the torch.
With some luck (and brains), the lesser become great that way.
> I need to get ahold of some basic materials (Bronstein's books would be
> useful, I'd wager :-) and get as much up to speed as my brain allows. I
> need to learn Axiom's guts anyway and this sounds like a possibly useful
> way. Maybe I could warm up by implimenting a physical units domain in
> Axiom, although lord knows how I'd convince it to display things in the form
> (numbers and variables)*units, or recognize Newtons out of a*kg*b*s^-2*c*m.
> Does Axiom have provisions for non-standard display conventions and
> substitution like that?
Output is easy.
)sh OUTFORM
tells you everything you want to know about it.
Pattern matching is there too.
)sh PATMATCH
or rather, use HyperDoc.
Martin
From MAILER-DAEMON Fri Aug 19 10:43:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E685p-0002L2-Mb
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 10:43:37 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E685n-0002IP-7V
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:43:35 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E685l-0002Gq-HO
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:43:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E684D-00010Y-KV
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:41:57 -0400
Received: from [68.142.201.188] (helo=web31708.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E686O-0007GV-Lo
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 10:44:12 -0400
Received: (qmail 26092 invoked by uid 60001); 19 Aug 2005 14:27:28 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=55WePjLcJk1lnsr4T0vHMxzSojK6i54uIv9Lp67z3gZxUnw3yQDTr52BvlE/28OM1F3fvNLWpC+tzXzLO1KCTt9W+lYtXLPfZA7+3+yqI2OMdfGiWiaPwQdWdBrgjeBdp01Tfdqg65uewM7e3KEYcDpZOegE0WKxLHTt6iktA68=
;
Message-ID: <20050819142728.26090.qmail@web31708.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31708.mail.mud.yahoo.com via HTTP;
Fri, 19 Aug 2005 07:27:28 PDT
Date: Fri, 19 Aug 2005 07:27:28 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
To: Martin Rubey <martin.rubey@univie.ac.at>
In-Reply-To: <17157.58509.664325.741173@seam101.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 14:43:36 -0000
--- Martin Rubey <martin.rubey@univie.ac.at> wrote:
> Output is easy.
>
> )sh OUTFORM
>
> tells you everything you want to know about it.
Um:
)sh OUTPUT
The )show system command is used to display information about types
or partial types. For example, )show Integer will show
information about Integer .
OUTPUT is not the name of a known type constructor. If you want
to see information about any operations named OUTPUT , issue
)display operations OUTPUT
> Pattern matching is there too.
>
> )sh PATMATCH
Hmm - I'll need to think about this a bit. A few examples would help
:-).
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Fri Aug 19 11:58:47 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E69GY-0003O3-Bm
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 11:58:46 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E69GV-0003Mv-TP
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:58:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E69GT-0003L9-13
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:58:41 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E69GS-0003Gx-0g
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:58:40 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E69QY-000669-SS
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 12:09:07 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7JFqEwl018459;
Fri, 19 Aug 2005 10:52:14 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050819105214-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 19 Aug 2005 10:52:14 -0500
Cc:
Subject: [Axiom-developer] [FrontPage]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 15:58:44 -0000
Changes http://www.axiom-developer.org/zope/mathaction/FrontPage/diff
--
??changed:
-<a href="/zope/mathaction/FrontPage/issuetracker">please report it</a>
<a href="/zope/mathaction/IssueTracker">please report it</a>
--
forwarded from http://www.axiom-developer.org/zope/mathaction/FrontPage#msg20050819105214-0500@www.axiom-developer.org
From MAILER-DAEMON Fri Aug 19 11:58:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E69Ge-0003Qn-Cw
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 11:58:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E69GZ-0003Ny-Ha
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:58:47 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E69GW-0003N7-GY
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:58:44 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E69GW-0003Gx-4J
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:58:44 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E69PB-0005zi-2V
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 12:07:41 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7JFolwl018312;
Fri, 19 Aug 2005 10:50:47 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050819105047-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 19 Aug 2005 10:50:47 -0500
Cc:
Subject: [Axiom-developer] [FrontPage]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 15:58:49 -0000
Changes http://www.axiom-developer.org/zope/mathaction/FrontPage/diff
--
??changed:
-"please report it":http:/zope/mathaction/FrontPage/issuetracker
<a href="/zope/mathaction/FrontPage/issuetracker">please report it</a>
--
forwarded from http://www.axiom-developer.org/zope/mathaction/FrontPage#msg20050819105047-0500@www.axiom-developer.org
From MAILER-DAEMON Fri Aug 19 11:59:27 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E69HD-0003aG-0O
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 11:59:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E69Gp-0003WG-6M
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:59:05 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E69Gl-0003UW-De
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:59:00 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E69Gk-0003Gx-M2
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 11:58:58 -0400
Received: from [209.226.175.188] (helo=tomts25-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E69MA-0005mx-AB
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 12:04:34 -0400
Received: from asus ([207.236.11.149]) by tomts25-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP
id <20050819154746.BGBM27245.tomts25-srv.bellnexxia.net@asus>;
Fri, 19 Aug 2005 11:47:46 -0400
From: "Bill Page" <bill.page1@sympatico.ca>
To: "'Kai Kaminski'" <kai.kaminski@gmail.com>
Subject: RE: [Axiom-developer] Broken link on front page
Date: Fri, 19 Aug 2005 11:47:19 -0400
Message-ID: <002501c5a4d5$4e5db300$6501a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook, Build 10.0.2627
In-Reply-To: <m264u2k6fy.fsf@Pupone.local>
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180
Importance: Normal
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 15:59:16 -0000
Kai,
Thanks for the note.
On August 18, 2005 9:47 PM you wrote:
> The link to the issue tracker on the front page is broken.
> While the path is correct, it points to localhost, which
> won't work in most cases.
There are two links to issue tracker on the MathAction front
page. In the header 'issues' is a link to
http://www.axiom-developer.org/zope/mathaction/IssueTracker
and later the text "please report it" has a link to
http:/zope/mathaction/FrontPage/issuetracker which should
default to http://www.axiom-developer.org/...
I am not sure why these link to different versions of the
issuetracker page but they both work the same way for me.
What do you mean by "points to localhost"? What browser are
you using? In the HTML code the second link is coded as:
<a href="http:/zope/mathaction/FrontPage/issuetracker">please report
it</a>
which as I understand it is supposed to default to the current
machine, but might be interpreted incorrectly in some browsers
(I thought that odd behaviour was fixed long ago in most browsers.)
Anyway I will change the link to
<a href="/zope/mathaction/FrontPage/issuetracker">please report it</a>
which should work for everyone.
Regards,
Bill Page.
From MAILER-DAEMON Fri Aug 19 12:31:26 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E69mA-0004iG-D4
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 12:31:26 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E69m8-0004hc-6P
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 12:31:24 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E69m6-0004gx-Js
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 12:31:23 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E69k7-0003z1-Sk
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 12:29:20 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E69l5-0007bh-EC
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 12:30:19 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7JGDRwl024187;
Fri, 19 Aug 2005 11:13:27 -0500
From: mathaction@axiom-developer.org (Bob McElrath)
To: mathaction@axiom-developer.org
Message-ID: <20050819161329.GB28462@mcelrath.org>
In-reply-to: <20050819060559-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 19 Aug 2005 11:13:27 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),
x) is not handled ] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 16:31:24 -0000
Changes http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
It's worth noting that both Maple and Mathematica produce the FresnelS
function, which is *defined* in terms of this integral. However, the
Maxima answer appears to be correct as well.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050819161329.GB28462@mcelrath.org
From MAILER-DAEMON Fri Aug 19 14:03:26 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6BDC-0008NV-5b
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 14:03:26 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6BDA-0008MR-2d
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 14:03:24 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6BD8-0008Kn-5j
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 14:03:23 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6B9s-0006Ze-C7
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 14:00:00 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E6B0Y-0004sj-NI
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 13:50:23 -0400
Received: (qmail invoked by alias); 19 Aug 2005 17:33:35 -0000
Received: from p549F4F3F.dip.t-dialin.net (EHLO Pupone.local) [84.159.79.63]
by mail.gmx.net (mp009) with SMTP; 19 Aug 2005 19:33:35 +0200
X-Authenticated: #7158753
X-From-Line: nobody Fri Aug 19 19:12:39 2005
To: "Bill Page" <bill.page1@sympatico.ca>
Subject: Re: [Axiom-developer] Broken link on front page
References: <002501c5a4d5$4e5db300$6501a8c0@asus>
From: Kai Kaminski <kai.kaminski@gmail.com>
Date: Fri, 19 Aug 2005 19:12:36 +0200
In-Reply-To: <002501c5a4d5$4e5db300$6501a8c0@asus> (Bill Page's message of
"Fri, 19 Aug 2005 11:47:19 -0400")
User-Agent: Gnus/5.11 (Gnus v5.11) Emacs/21.3.50 (darwin)
Lines: 31
Message-ID: <m2br3tvnjn.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 18:03:24 -0000
Bill,
"Bill Page" <bill.page1@sympatico.ca> writes:
> On August 18, 2005 9:47 PM you wrote:
>
>> The link to the issue tracker on the front page is broken.
>> While the path is correct, it points to localhost, which
>> won't work in most cases.
>
> There are two links to issue tracker on the MathAction front
> page. In the header 'issues' is a link to
> http://www.axiom-developer.org/zope/mathaction/IssueTracker
>
> and later the text "please report it" has a link to
> http:/zope/mathaction/FrontPage/issuetracker which should
> default to http://www.axiom-developer.org/...
This one was broken.
> What do you mean by "points to localhost"? What browser are
> you using? In the HTML code the second link is coded as:
> <a href="http:/zope/mathaction/FrontPage/issuetracker">please report
> it</a>
> which as I understand it is supposed to default to the current
> machine, but might be interpreted incorrectly in some browsers
> (I thought that odd behaviour was fixed long ago in most browsers.)
I used Safari or Firefox, don't remember. But an hour or so after I
reported this, the link worked again. I just checked to be sure and
both links work in Safari.
Kai
From MAILER-DAEMON Fri Aug 19 17:01:15 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6DzG-0001Az-HL
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 17:01:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Dz7-00014a-R2
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 17:01:05 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Dz4-00012W-UB
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 17:01:03 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Dz4-00010X-A1
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 17:01:02 -0400
Received: from [68.142.201.185] (helo=web31705.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E6EAZ-0000S2-Kl
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 17:12:55 -0400
Received: (qmail 37753 invoked by uid 60001); 19 Aug 2005 20:56:07 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=tyUDsJ/I3tcxfUAb9fdGPXoJmDmHM7eVKrhXTqwpQXhLe0G16JPapEEo1BDK8SUpWPov0td74DcSNpbs1IisCx7WEM7WJeEQh3Y/bJA1EyvK4UjPjFTIEesVPPHIHkT7h6FjTOhcDan+ed1HExEzSmPiZJjG/4nwUIOpXpzGX6Q=
;
Message-ID: <20050819205607.37751.qmail@web31705.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31705.mail.mud.yahoo.com via HTTP;
Fri, 19 Aug 2005 13:56:07 PDT
Date: Fri, 19 Aug 2005 13:56:07 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
To: Martin Rubey <martin.rubey@univie.ac.at>
In-Reply-To: <17157.58509.664325.741173@seam101.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Unit package question
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 19 Aug 2005 21:01:12 -0000
Hi all. I have a rather odd question, and I don't know if this is
something Axiom even will permit, but it would be useful to know, so...
I want to be able to teach Axiom how to use units. There are a number
of surprisingly annoying features to handle based on my experience with
Maxima, and one of the worst is the following:
If I enter an expression, Axiom automatically formats it and orders it
according to internal rules. See
http://www.axiom-developer.org/zope/mathaction/SandBox#msg20050819154916-0500@www.axiom-developer.org
for an example of this. Normally, this is what one wants to do. What
I'm not sure of is how to instruct Axiom to display things that are
Units at the end of an expression, e.g.
kg*m
a*b*z ------
2
s
In Maxima it requires some rather alarming hackery with the display
code to avoid the same default behavior Maxima exhibits. In one sense
Axiom is an ideal place for certain types of unit operations, since I
can presumably do things like assign both inches and meters the type
Length, and assign simplification rules accordingly :-). but I don't
know how to impliment the display logic above. Based on the Maxima
experience, I'm guessing the infastructure might not be in place to
support something like this, given it is rather non-standard in normal
mathematical environments. Is there anybody who knows what the correct
approach to this would be?
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Fri Aug 19 21:10:39 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Hsc-0008MP-N1
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 21:10:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Hrw-00089l-AJ
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 21:09:56 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Hrr-00087C-2l
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 21:09:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Hrq-0007v8-Pv
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 21:09:50 -0400
Received: from [209.226.175.4] (helo=tomts16-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E6HcY-0001Nq-TO
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 20:54:03 -0400
Received: from asus ([207.236.11.149]) by tomts16-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP
id <20050820005355.DPVT27508.tomts16-srv.bellnexxia.net@asus>;
Fri, 19 Aug 2005 20:53:55 -0400
From: "Bill Page" <bill.page1@sympatico.ca>
To: "'C Y'" <smustudent1@yahoo.com>
Subject: RE: [Axiom-developer] Unit package question
Date: Fri, 19 Aug 2005 20:53:26 -0400
Message-ID: <003201c5a521$99885640$6501a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook, Build 10.0.2627
In-Reply-To: <20050819205607.37751.qmail@web31705.mail.mud.yahoo.com>
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180
Importance: Normal
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 01:10:01 -0000
Here are few initial ideas about how I think units might
be implemented in Axiom.
On August 19, 2005 4:56 PM C Y wrote:
> Hi all. I have a rather odd question, and I don't know if
> this is something Axiom even will permit, but it would be
> useful to know, so...
>
> I want to be able to teach Axiom how to use units.
For scientific applications of Axiom, I think units might be
very useful. My first reaction however is to try to imagine
what part of Axiom might be most suitable to represent the
concept of units.
> There are a number of surprisingly annoying features to handle
> based on my experience with Maxima, and one of the worst is
> the following:
>
> If I enter an expression, Axiom automatically formats it and
> orders it according to internal rules. See
http://www.axiom-developer.org/zope/mathaction/SandBox#msg20050819154916
-0500@www.axiom-developer.org
> for an example of this. Normally, this is what one wants to do.
I think what you are doing here is ok in Maxima, Maple and
Mathematica but it does not fit well in Axiom. I think it might
be quite awkward to treat units as expressions of this kind in
Axiom.
> What I'm not sure of is how to instruct Axiom to display things
> that are Units at the end of an expression, e.g.
>
> kg*m
> a*b*z ------
> 2
> s
What makes Axiom different is it's strong type system and it's
object-orientation. To me this suggests that units in Axiom
might be best implemented as extensions of the Float domain.
By this I mean we should be able to write something like this:
(1) -> (2.0::kg + 1.0::lb)::ton
(1) 0.0027
Type: ton
where kg, lb and ton are Axiom domains. Given the right
definitions of these domains we should expect that Axiom would
perform the necessary coercion/conversion from the domains
kg and lb to ton, the same as if we had written:
(2) -> (2.0::Float + 1.0::INT)::SF
(2) 3.0
Type: DoubleFloat
To implement something like:
(3) -> 2.0::m * 3.1::kg
6.1
Type: m*kg
Axiom will have to be told how to multiply meters by kilograms.
This is easily done given Axiom function overloading. Add of
course Axiom needs to know how to construct new units (types)
from old ones. Since types are first order objects in Axiom,
this is also quite easy.
> In Maxima it requires some rather alarming hackery with the
> display code to avoid the same default behavior Maxima exhibits.
> In one sense Axiom is an ideal place for certain types of unit
> operations, since I can presumably do things like assign both
> inches and meters the type Length, and assign simplification
> rules accordingly :-).
Perhaps you are confusing the notion of 'dimension' and 'unit'
here but still I think these ideas both map quite well to
Axiom's type system. For example
(4) -> 1.0::m + 2.0::s
would constitue a type error.
> but I don't know how to impliment the display logic above.
> Based on the Maxima experience, I'm guessing the infastructure
> might not be in place to support something like this, given
> it is rather non-standard in normal mathematical environments.
The display of units as types, e.g.
Type: m*kg
should be possible, although I think there my currently be
some built-in assumptions about type expressions that might
currently preclude this nice infix notation. But a type such
as
Type: Prod(m,kg)
is certainly possible.
> Is there anybody who knows what the correct approach to this
> would be?
Maple has an elaborate Scientific units and dimension system
that even takes advantage of overloading operations like + * /
such as I suggested above, although Maple does not really have
the notion of strong typing. If you have the opportunity to study
how this was done in Maple perhaps it will suggest a possible
approach in Axiom.
These are just some rough initial ideas. I am not sure how
well this concept of "units as types" will work out in
detail.
Regards,
Bill Page.
From MAILER-DAEMON Fri Aug 19 23:35:40 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6K8x-0008HO-CD
for mharc-axiom-developer@gnu.org; Fri, 19 Aug 2005 23:35:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6K8q-0008DO-GF
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 23:35:34 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6K8g-00089I-Lj
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 23:35:23 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6K8g-00088s-Jw
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 23:35:22 -0400
Received: from [68.142.201.183] (helo=web31703.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E6K3O-0000Vu-JW
for axiom-developer@nongnu.org; Fri, 19 Aug 2005 23:29:54 -0400
Received: (qmail 48729 invoked by uid 60001); 20 Aug 2005 03:29:50 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=vFFmjnMz2ssoAGdshCHSYaOpHx1aluIlSiOArXxLB5inpje1RtFpU51fsW8nGmd9NqvrbYd84EhBTK4PTIBJAC8Ha1ZBEs18McnA7z4mGEQfe/SJybDKxnaD551CUzk4kS8tFNL9NsGmhBQ6bGEJU0F1lFI6HWEVP2E7Md1PbQU=
;
Message-ID: <20050820032950.48727.qmail@web31703.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31703.mail.mud.yahoo.com via HTTP;
Fri, 19 Aug 2005 20:29:50 PDT
Date: Fri, 19 Aug 2005 20:29:50 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: RE: [Axiom-developer] Unit package question
To: Bill Page <bill.page1@sympatico.ca>, smustudent1@yahoo.com
In-Reply-To: <003201c5a521$99885640$6501a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 03:35:36 -0000
--- Bill Page <bill.page1@sympatico.ca> wrote:
> Here are few initial ideas about how I think units might
> be implemented in Axiom.
>
> For scientific applications of Axiom, I think units might be
> very useful. My first reaction however is to try to imagine
> what part of Axiom might be most suitable to represent the
> concept of units.
It's most likely non-trivial - I've got some digging to do into Axiom
programming philosophy. I'll try to describe what I had envisioned in
my mind's eye, and perhaps it will emerge what it would take to teach
Axiom to work with the new concepts.
> > There are a number of surprisingly annoying features to handle
> > based on my experience with Maxima, and one of the worst is
> > the following:
> >
> > If I enter an expression, Axiom automatically formats it and
> > orders it according to internal rules. See
>
http://www.axiom-developer.org/zope/mathaction/SandBox#msg20050819154916
> -0500@www.axiom-developer.org
>
> > for an example of this. Normally, this is what one wants to do.
>
> I think what you are doing here is ok in Maxima, Maple and
> Mathematica but it does not fit well in Axiom. I think it might
> be quite awkward to treat units as expressions of this kind in
> Axiom.
Possibly - I'm not really sure myself yet. But as I'll explain below
there are reasons for this approach.
> > What I'm not sure of is how to instruct Axiom to display things
> > that are Units at the end of an expression, e.g.
> >
> > kg*m
> > a*b*z ------
> > 2
> > s
>
> What makes Axiom different is it's strong type system and it's
> object-orientation. To me this suggests that units in Axiom
> might be best implemented as extensions of the Float domain.
The logic of units certainly has some similarities, but one needs to be
careful because there are a fair number of unique options one would
want to have with units. I'm not sure, on closer analysis, that Floats
are really all that good a match. I'll try to give a couple examples
below.
> By this I mean we should be able to write something like this:
>
> (1) -> (2.0::kg + 1.0::lb)::ton
>
> (1) 0.0027
> Type: ton
>
> where kg, lb and ton are Axiom domains. Given the right
> definitions of these domains we should expect that Axiom would
> perform the necessary coercion/conversion from the domains
> kg and lb to ton, the same as if we had written:
>
> (2) -> (2.0::Float + 1.0::INT)::SF
>
> (2) 3.0
> Type: DoubleFloat
The problem with this is there would have to be one type/domain for
EVERY SINGLE UNIT we wished to define. When one includes the metric
prefix system, this can include a LOT of types/domains. Conceptually, I
think it would be more elegant to have Axiom recognize a) a unit is in
an expression b) determine the dimension of each unit and confirm the
expression is dimensionally legal and c) depending on options return
either i) the unsimplified combination of legal terms ii) the
simplified expression according to a global set of user chosen standard
units (MKS by default) or iii) if non-basic dimensions like Force are
enabled, and an expression simplifies to such a dimensional type or a
combination of higher order types, simplify to the most compact form
available. Of course, this might not be at all elegant in Axiom as it
currently exists, but here's a mockup session of what I'd like to see:
(1) -> (2.0::kg + 1.0::lb)::kg
Error - incompatible dimensions for Add operation
(1) -> (2.0::kg + 1.0::slugs)::kg
(1) 3.45939 kg
Type: Mass
(2) -> (2.0::kg + 1.0::slugs)::slugs
(2) 2.3704355929 53220181 slugs
Type: Mass
Ideally I'd also like Axiom to be able to deal with (2.0*kg +
1.0*slugs)::kg as well, but I don't know if that would be legal or not.
Conceptually at least, 2.0*kg and 2.0::kg are the same thing. I'll
add more mockups below as they seem relevant.
> To implement something like:
>
> (3) -> 2.0::m * 3.1::kg
>
> 6.1
> Type: m*kg
>
> Axiom will have to be told how to multiply meters by kilograms.
> This is easily done given Axiom function overloading. Add of
> course Axiom needs to know how to construct new units (types)
> from old ones. Since types are first order objects in Axiom,
> this is also quite easy.
I would like to see this feature handle things as follows (I don't know
enough about the type system to know if it could do this yet)
(3) -> (4.0::kg * 3.0::m / 6::s**-2)
kg m
(3) 2.0 ----
2
s
Type: Mass*Length/Time^2
(4) -> ActivateExtendedUnitTypes(MKS)
(4) True (not sure what the "standard" way to do this is)
Type: Bool
(5) -> (4.0::kg * 3.0::m / 6::s**-2)
(5) 2 N
Type: Force
(6) -> (4.0::kg * 3.0::m / 6::s**-2)::dyn
(6) 200000 dyn
Type: Force
(7) -> (a::N)::dyn
(7) 100000 a dyn
Type: VariableForce
There are many other variations on what a user might want - for
example, after doing some calculations in N or dyne they may want to
render their forces in base units, but cm*g/minute^2 rather than MKS.
Options to set defaults for and override locally all of these
simplifications are needed. Assignment checking is also needed - for
example, in the last example above a should only be assigned quantities
of type Force. However, any Force type is legal and should be accepted
and converted as controlled by settings.
> Perhaps you are confusing the notion of 'dimension' and 'unit'
> here
Possibly - I get a bit loose with my terminology sometimes, which won't
do in the Axiom world :-). To be clear - each unit is associated with
a dimension, and I would like to see the rules governing unit
interactions work on the dimension level, while handling the conversion
between different units with the same dimension automatically based on
circumstances as determined by either default settings or the user's
preferences.
> but still I think these ideas both map quite well to
> Axiom's type system. For example
>
> (4) -> 1.0::m + 2.0::s
>
> would constitute a type error.
Right - essentially Axiom's strict typing gives us a chance to have
dimensional analysis as part of all calculations :-).
> The display of units as types, e.g.
>
> Type: m*kg
>
> should be possible, although I think there my currently be
> some built-in assumptions about type expressions that might
> currently preclude this nice infix notation. But a type such
> as
>
> Type: Prod(m,kg)
>
> is certainly possible.
Right, but as I showed in my examples above my preference is for the
units to remain as a displayed part of the expression, and the Type
information to report the dimension of the quantity in question. This
seems to me to be the most useful thing to do.
> > Is there anybody who knows what the correct approach to this
> > would be?
>
> Maple has an elaborate Scientific units and dimension system
> that even takes advantage of overloading operations like + * /
> such as I suggested above, although Maple does not really have
> the notion of strong typing. If you have the opportunity to study
> how this was done in Maple perhaps it will suggest a possible
> approach in Axiom.
I have looked at the Maple package, and indeed they use many similar
ideas to ones I had arrived at (after much trial and error) in the
Maxima design. (Boy was that embarassing - a real lesson to do my
homework before beating my head against the nearest wall!) How it's
ideas map into Axiom's strong typing system is, unfortunately, the real
nut to crack. Axiom's system offers some exciting possibilities, but
it looks like there might be some roadblocks to plow through too.
I should mention that Maple has the idea of things like (IIRC) unit
space where expressions are encapsulated in a Units() denotation, e.g.
4*z*Units(kg*m/s^2). This was rejected for the Maxima package - we
felt that the program should be able to handle the "textbook"
kg*m
formatting style of 4*z ---- since this is the convention used
2
s
almost universally in the sciences (who are most likely to be dealing
with units.) I have the same hope for Axiom - units, as multiplicative
factors, remaining part of the expression, and the Type information
working on the dimension level. (As in my examples above.)
> These are just some rough initial ideas. I am not sure how
> well this concept of "units as types" will work out in
> detail.
It might be that that would be the best "mapping" of the idea onto
Axiom's system, although aesthetically I prefer the idea of working
with dimensions and units providing the multiplicative factors for
conversion between each other. Discussion welcome.
Cheers,
CY
P.S. - there's also the whole idea of error analysis which enters into
this equation - for example, when discussing physical quantities 2.0
has a significance - you are implying a greater measurement accuracy
than just stating 2. So there may be a collision in the future between
float and integer behavior in Axiom and the handling of accuracy. For
example, if I have a measurement of 10+-2 and I subtract the quantity
4.0007+-0.0005, the proper return (if I've got this right - it's been a
while) would be 6+-2, since error analysis combining the two errors
would result in 2 + <small amount>, and significant figure rules say to
chop off the <small amount>. Anyway, there are rules governing such
things and I suspect there might be a collision between those and
"normal" mathematical convention, where all things are exact. Then
there's the whole issue of errors introduced by the CAS itself, due to
precision limits and such. But that's for another day.
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Sat Aug 20 03:06:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6NR7-00016g-3e
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 03:06:37 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6NQz-00014I-Iw
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 03:06:29 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6NQw-00013G-CK
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 03:06:28 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6NQu-0000sJ-Vk
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 03:06:25 -0400
Received: from [195.54.107.73] (helo=mxfep02.bredband.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E6NDt-0003Fv-HF
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 02:52:57 -0400
Received: from [192.168.0.2] ([213.114.172.219] [213.114.172.219])
by mxfep02.bredband.com with ESMTP
id <20050820065250.WOLD17509.mxfep02.bredband.com@[192.168.0.2]>
for <axiom-developer@nongnu.org>; Sat, 20 Aug 2005 08:52:50 +0200
From: Magnus Larsson <magnus.larsson.k@bredband.net>
To: axiom-developer@nongnu.org
Date: Sat, 20 Aug 2005 08:52:48 +0200
User-Agent: KMail/1.8.90
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
Content-Disposition: inline
Message-Id: <200508200852.48754.magnus.larsson.k@bredband.net>
Subject: [Axiom-developer] Building axiom--main--1--patch-44 fails
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 07:06:32 -0000
Hello axiom-developer@nongnu.org
I checked out Axiom using:
tla get axiom--main--1
I can not get the build to complete.
cd axiom--main--1--patch-44
./configure
export AXIOM=/home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/mnt/linux
export PATH=$AXIOM/bin:$PATH
make
causes the build process to hang(?)
I have tried to restart the build by stopping all processes
and starting make again.
The build hangs again, same place:
<snip>
==================================
=== layer 22 of 23 complete ======
==================================
==================================
=== layer 23 of 23 complete ======
==================================
==================================
=== layer 0 copy complete ======
==================================
4304 Building NRLIBS from spad sources
4302
finished /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/algebra
make[3]: Leaving directory
`/home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/algebra'
37 making /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/etc
make[3]: Entering directory
`/home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/etc'
6 finished /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/etc
make[3]: Leaving directory
`/home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/etc'
5 making /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/clef
make[3]: Entering directory
`/home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/clef'
6 finished /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/clef
make[3]: Leaving directory
`/home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/clef'
41 making /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/doc
make[3]: Entering directory
`/home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/doc'
3
making /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/mnt/linux/doc/DeveloperNotes.dvi
from /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/doc/DeveloperNotes.pamphlet
/bin/sh: line 0: [: too many arguments
All I get is "/bin/sh: line 0: [: too many arguments..".
The make script does not seem to complete and return to the bash shell
and give me the cursor back. It just waits.
uname -a
Linux lfs 2.6.12 #1 Sat Jun 18 20:54:49 CEST 2005 i686 pentium4 i386 GNU/Linux
Sincerely,
Magnus Larsson
From MAILER-DAEMON Sat Aug 20 06:11:12 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6QJk-0002Bk-1s
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 06:11:12 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6QJg-0002B5-HJ
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 06:11:09 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6QJd-00029d-I8
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 06:11:07 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6QIt-00016M-NT
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 06:10:19 -0400
Received: from [193.124.167.24] (helo=inpbox.inp.nsk.su)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E6Pwb-0003Vs-E5
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 05:47:17 -0400
Received: from star.inp.nsk.su (star.inp.nsk.su [193.124.167.6])
by inpbox.inp.nsk.su (8.12.1/8.12.1) with ESMTP id j7K9KiuM023155;
Sat, 20 Aug 2005 16:20:44 +0700
Received: from star.inp.nsk.su (star.inp.nsk.su [127.0.0.1])
by star.inp.nsk.su (8.13.1/8.13.1) with ESMTP id j7K9KmwS024156;
Sat, 20 Aug 2005 16:20:48 +0700
Received: from localhost (grozin@localhost)
by star.inp.nsk.su (8.13.1/8.13.1/Submit) with ESMTP id j7K9KhZo024153;
Sat, 20 Aug 2005 16:20:47 +0700
Date: Sat, 20 Aug 2005 16:20:43 +0700 (NOVST)
From: "Andrey G. Grozin" <A.G.Grozin@inp.nsk.su>
To: Magnus Larsson <magnus.larsson.k@bredband.net>
Subject: Re: [Axiom-developer] Building axiom--main--1--patch-44 fails
In-Reply-To: <200508200852.48754.magnus.larsson.k@bredband.net>
Message-ID: <Pine.LNX.4.58.0508201616510.24140@star.inp.nsk.su>
References: <200508200852.48754.magnus.larsson.k@bredband.net>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
X-Virus-Scanned: ClamAV 0.85.1/1034/Fri Aug 19 03:07:58 2005 on star.inp.nsk.su
X-Virus-Status: Clean
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 10:11:09 -0000
On Sat, 20 Aug 2005, Magnus Larsson wrote:
> making /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/mnt/linux/doc/DeveloperNotes.dvi
> from /home/jocelyn/usr/source/axiom/axiom--main--1--patch-44/src/doc/DeveloperNotes.pamphlet
> /bin/sh: line 0: [: too many arguments
>
> All I get is "/bin/sh: line 0: [: too many arguments..".
> The make script does not seem to complete and return to the bash shell
> and give me the cursor back. It just waits.
I have exactly the same problem with axiom--main--1--patch-44 on Gentoo
Linux 2005.1.
In the Makefile in the doc directory, making DeveloperNotes.dvi indeed
includes some if [ <something> ]; but the arguments of [ seem correct - I
cannot understand this strange behaviour.
Andrey Grozin
From MAILER-DAEMON Sat Aug 20 07:15:18 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6RJm-0006Aq-3B
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 07:15:18 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6RJj-00069t-Ep
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 07:15:15 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6RI5-0005eD-Gx
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 07:13:39 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6RI2-0005Nh-Ps
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 07:13:30 -0400
Received: from [195.54.107.70] (helo=mxfep01.bredband.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E6R4E-0007RR-3l
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 06:59:14 -0400
Received: from [192.168.0.2] ([213.114.172.219] [213.114.172.219])
by mxfep01.bredband.com with ESMTP
id <20050820105905.VYRP23053.mxfep01.bredband.com@[192.168.0.2]>;
Sat, 20 Aug 2005 12:59:05 +0200
From: Magnus Larsson <magnus.larsson.k@bredband.net>
To: Martin Rubey <martin.rubey@univie.ac.at>,
axiom-developer@nongnu.org
Subject: Re: [Axiom-developer] Building axiom--main--1--patch-44 fails
Date: Sat, 20 Aug 2005 12:59:03 +0200
User-Agent: KMail/1.8.90
References: <200508200852.48754.magnus.larsson.k@bredband.net>
<17158.60248.373128.458546@seam101.local>
In-Reply-To: <17158.60248.373128.458546@seam101.local>
MIME-Version: 1.0
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: 7bit
Content-Disposition: inline
Message-Id: <200508201259.03762.magnus.larsson.k@bredband.net>
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 11:15:16 -0000
On Saturday 20 August 2005 10.35, Martin Rubey wrote:
> the problem is with the TeX processing of DeveloperNotes.pamphlet. Although
> I was unable to fix it, a workaround is to kill the make, and then (WITHOUT
> cleaning the interupted build) say
>
> make NOISE=
>
> at your shell prompt. After a short while you will see TeX in action
> complaining about a # it shouldn't see. Say
>
> q
>
> at the TeX prompt. This complaint will appear another time, and you should
> again answer with
>
> q
>
> Then the make should continue.
>
> Martin
>
Hello Martin Rubey,
Your workaround works for me to.
AXIOM Computer Algebra System
Version: Axiom 3.9 (September 2005)
Timestamp: Saturday August 20, 2005 at 08:39:18
-----------------------------------------------------------------------------
Issue )copyright to view copyright notices.
Issue )summary for a summary of useful system commands.
Issue )quit to leave AXIOM and return to shell.
-----------------------------------------------------------------------------
Re-reading compress.daase Re-reading interp.daase
Re-reading operation.daase
Re-reading category.daase
Re-reading browse.daase
(1) ->
(1) ->
Thank you,
Best regards
Magnus Larsson
From MAILER-DAEMON Sat Aug 20 08:36:24 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6SaF-0001Na-5X
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:36:23 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6SaB-0001K1-LM
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:19 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Sa9-0001Hw-O4
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:18 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Sa8-0000hr-I0
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:16 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SJk-0003UN-SP
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:19:21 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCJ7wl006575;
Sat, 20 Aug 2005 07:19:07 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820071906-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:19:07 -0500
Cc:
Subject: [Axiom-developer] [#11 Mathaction edit/save]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:36:20 -0000
Changes http://page.axiom-developer.org/zope/mathaction/11MathactionEditSave/diff
--
![ female post op transgender male iGOfL | http://vah.zenno.info/google/vidacha/new/female-male-op-post-transgender.html ]
![ pics gay naked KHCyN | http://vah.zenno.info/google/vidacha/new/naked-gay-pics.html ]
![ asshole bush NcXoK | http://vah.zenno.info/google/vidacha/new/asshole-bush.html ]
![ menu and funny and sex chinese and and image uonXz | http://pidari.zenno.info/perviy/nah/chinese-and-image-and-menu-and-funny-and-sex.html ]
![ pictures transexual sex free TBSYG | http://pidari.zenno.info/perviy/nah/free-transexual-sex-pictures.html ]
![ anal stories ILhWb | http://vah.zenno.info/google/vidacha/new/anal-stories.html ]
![ anal sex and pregnancy coerN | http://pidari.zenno.info/perviy/nah/pregnancy-and-anal-sex.html ]
![ free teen gay cugHS | http://vah.zenno.info/google/vidacha/new/free-gay-teen.html ]
![ free of picf gays lYOAE | http://pidari.zenno.info/perviy/nah/free-picf-of-gays.html ]
![ babes busty naked tnQiw | http://vah.zenno.info/google/vidacha/new/naked-busty-babes.html ]
![ sex girl chinese having WoPJA | http://vah.zenno.info/google/vidacha/new/chinese-girl-having-sex.html ]
![ xxx tits big free Jsaui | http://vah.zenno.info/google/vidacha/new/xxx-free-big-tits.html ]
![ gay yahoo personals KUkbc | http://vah.zenno.info/google/vidacha/new/yahoo-gay-personals.html ]
![ miami shemale escorts SElmq | http://pidari.zenno.info/perviy/nah/shemale-escorts-miami.html ]
![ free ass pic jSrzJ | http://vah.zenno.info/google/vidacha/new/free-ass-pic.html ]
![ galleries of free young gay naked boys bAsnW | http://pidari.zenno.info/perviy/nah/free-galleries-of-naked-young-gay-boys.html ]
![ free licking ass WMpRA | http://vah.zenno.info/google/vidacha/new/free-ass-licking.html ]
![ warts anal GcPkD | http://pidari.zenno.info/perviy/nah/anal-warts.html ]
![ boobs black cqpeM | http://pidari.zenno.info/perviy/nah/black-boobs.html ]
![ japanese year new ECqwz | http://pidari.zenno.info/perviy/nah/japanese-new-year.html ]
![ girls girls girls naked asian VoQId | http://vah.zenno.info/google/vidacha/new/naked-asian-girls-girls-girls.html ]
![ girls fat nude LOvWC | http://vah.zenno.info/google/vidacha/new/nude-fat-girls.html ]
![ bbw mature tgp PVhFf | http://vah.zenno.info/google/vidacha/new/bbw-mature-tgp.html ]
![ nah fQkqt | http://pidari.zenno.info/perviy/nah/ ]
![ personals hairy gay IxlMk | http://pidari.zenno.info/perviy/nah/gay-hairy-personals.html ]
![ tits big lanas RbJeq | http://vah.zenno.info/google/vidacha/new/lanas-big-tits.html ]
![ transgendered shelly tv nHjmX | http://pidari.zenno.info/perviy/nah/shelly-transgendered-tv.html ]
![ gay throat deep videos QryMu | http://vah.zenno.info/google/vidacha/new/gay-deep-throat-videos.html ]
![ porn gay mpegs UabBj | http://pidari.zenno.info/perviy/nah/gay-porn-mpegs.html ]
![ shemales of picsa free QZxAs | http://pidari.zenno.info/perviy/nah/free-picsa-of-shemales.html ]
![ free sex penetration extreme dngRj | http://pidari.zenno.info/perviy/nah/free-extreme-penetration-sex.html ]
![ dancers transsexual MKIrE | http://vah.zenno.info/google/vidacha/new/transsexual-dancers.html ]
![ breast lovers daily big TxtBY | http://vah.zenno.info/google/vidacha/new/big-breast-lovers-daily.html ]
![ legolas gay fanfiction stories JkrAy | http://vah.zenno.info/google/vidacha/new/legolas-gay-fanfiction-stories.html ]
![ ebony boobs nLidF | http://vah.zenno.info/google/vidacha/new/ebony-boobs.html ]
![ cartoon gay porn Ogpkv | http://vah.zenno.info/google/vidacha/new/cartoon-gay-porn.html ]
![ school asian free girls GdvSr | http://pidari.zenno.info/perviy/nah/free-asian-school-girls.html ]
![ gay teens nude xpXVR | http://vah.zenno.info/google/vidacha/new/gay-nude-teens.html ]
![ to chinese english kqaHv | http://vah.zenno.info/google/vidacha/new/english-to-chinese.html ]
![ bars minneapolis transexual ujPTZ | http://pidari.zenno.info/perviy/nah/transexual-bars-minneapolis.html ]
![ live ani difranco fIMmu | http://vah.zenno.info/google/vidacha/new/ani-difranco-live.html ]
![ free gay cum pics FmEZA | http://pidari.zenno.info/perviy/nah/free-gay-cum-pics.html ]
![ naked transexuals free iXmNW | http://vah.zenno.info/google/vidacha/new/free-naked-transexuals.html ]
![ northwest indiana gay in clubs LbrvH | http://pidari.zenno.info/perviy/nah/gay-clubs-in-northwest-indiana.html ]
![ japanese girls pics boobed big dNCEa | http://pidari.zenno.info/perviy/nah/big-boobed-japanese-girls-pics.html ]
![ gay buy sex story GMQSv | http://vah.zenno.info/google/vidacha/new/buy-gay-sex-story.html ]
![ fuck movie free ass FNVkT | http://pidari.zenno.info/perviy/nah/free-ass-fuck-movie.html ]
![ anal sex cheerleader PxWir | http://pidari.zenno.info/perviy/nah/cheerleader-anal-sex.html ]
![ free porn pics gay aQTKf | http://vah.zenno.info/google/vidacha/new/gay-porn-pics-free.html ]
![ gay pictures free rimming NEhIu | http://vah.zenno.info/google/vidacha/new/gay-free-pictures-rimming.html ]
![ florida hotels gay rtFsR | http://vah.zenno.info/google/vidacha/new/gay-florida-hotels.html ]
![ anus from bleeding dnjJU | http://pidari.zenno.info/perviy/nah/bleeding-from-anus.html ]
MRYcqEwWriNDJZv
--
forwarded from http://page.axiom-developer.org/zope/mathaction/11MathactionEditSave#msg20050820071906-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:36:28 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6SaJ-0001QD-7o
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:36:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6SaE-0001MM-F8
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:22 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6SaC-0001Kg-VE
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Sa9-0000hr-0a
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:17 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SJj-0003UH-Hx
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:19:19 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCJ2wl006559;
Sat, 20 Aug 2005 07:19:03 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820071902-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:19:02 -0500
Cc:
Subject: [Axiom-developer] [#11 Mathaction edit/save] property change
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:36:23 -0000
Changes http://page.axiom-developer.org/zope/mathaction/11MathactionEditSave/diff
--
Category: MathAction => Axiom Compiler
Severity: normal => serious
Status: closed => not reproducible
--
forwarded from http://page.axiom-developer.org/zope/mathaction/11MathactionEditSave#msg20050820071902-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:36:25 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6SaG-0001OW-L0
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:36:24 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6SaC-0001KN-ER
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:21 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6SaB-0001Jg-3A
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Sa8-0000hr-3P
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:16 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SJy-0003VL-Il
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:19:34 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCJLwl006596;
Sat, 20 Aug 2005 07:19:21 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820071921-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:19:21 -0500
Cc:
Subject: [Axiom-developer] [#123 Compile modified spad file] property change
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:36:21 -0000
Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
Category: building Axiom from source => Axiom Compiler
Severity: normal => wishlist
Status: testing => need more info
--
forwarded from http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile#msg20050820071921-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:37:07 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Saw-0001f3-IL
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:37:06 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Sau-0001e5-T8
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:37:05 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Sas-0001dS-Pw
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:37:03 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Sa7-0000hr-B9
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:36:15 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SK2-0003VQ-3R
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:19:38 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCJPwl006601;
Sat, 20 Aug 2005 07:19:25 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820071924-0500@page.axiom-developer.org>
In-reply-to: <20050313223619-0600@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:19:25 -0500
Cc:
Subject: [Axiom-developer] [#123 Compile modified spad file]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:37:05 -0000
Changes http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile/diff
--
![ men anus byRuV | http://vah.zenno.info/google/vidacha/new/anus-men.html ]
![ ass fuck mature uIfDi | http://vah.zenno.info/google/vidacha/new/mature-ass-fuck.html ]
![ male asian clean model GdzvK | http://vah.zenno.info/google/vidacha/new/asian-male-model-clean.html ]
![ homo christmas QEtaK | http://pidari.zenno.info/perviy/nah/homo-christmas.html ]
![ women big boobs very on with clothes qJoLE | http://pidari.zenno.info/perviy/nah/women-on-clothes-with-very-big-boobs.html ]
![ big girl fat VLJSR | http://vah.zenno.info/google/vidacha/new/big-fat-girl.html ]
![ dvds she male DHpuV | http://vah.zenno.info/google/vidacha/new/she-male-dvds.html ]
![ marriage homosexual xofau | http://vah.zenno.info/google/vidacha/new/homosexual-marriage.html ]
![ girl story fat RpDzG | http://pidari.zenno.info/perviy/nah/fat-girl-story.html ]
![ Big New Boobs York From dWLCi | http://vah.zenno.info/google/vidacha/new/Big-Boobs-From-New-York.html ]
![ nude asians pussy asian sex ITQHZ | http://vah.zenno.info/google/vidacha/new/nude-asians-pussy-asian-sex.html ]
![ nude teen links boy gay izhWT | http://pidari.zenno.info/perviy/nah/nude-gay-teen-boy-links.html ]
![ stories sex gay free NYobx | http://vah.zenno.info/google/vidacha/new/gay-free-sex-stories.html ]
![ personals free gay hZnAR | http://pidari.zenno.info/perviy/nah/gay-free-personals.html ]
![ shemale whole movies free MTORV | http://vah.zenno.info/google/vidacha/new/free-whole-shemale-movies.html ]
![ girls tits naked huge with nzKOl | http://vah.zenno.info/google/vidacha/new/naked-girls-with-huge-tits.html ]
![ portland clubs gay maine YHAqL | http://vah.zenno.info/google/vidacha/new/gay-clubs-portland-maine.html ]
![ wrestlers videos gay photos SswCX | http://pidari.zenno.info/perviy/nah/gay-wrestlers-videos-photos.html ]
![ free chat tranny lAgVR | http://vah.zenno.info/google/vidacha/new/free-tranny-chat.html ]
![ gallery large breast IAHDs | http://vah.zenno.info/google/vidacha/new/large-breast-gallery.html ]
![ photos asian art women wOLPG | http://pidari.zenno.info/perviy/nah/asian-women-art-photos.html ]
![ of asian photos women erotic JFQYA | http://vah.zenno.info/google/vidacha/new/erotic-photos-of-asian-women.html ]
![ tits natural big teen SdGDL | http://vah.zenno.info/google/vidacha/new/big-natural-teen-tits.html ]
![ big free boobs anal HouEn | http://pidari.zenno.info/perviy/nah/free-anal-big-boobs.html ]
![ she males free qtFZC | http://pidari.zenno.info/perviy/nah/she-males-free.html ]
![ asian star crystal porn wCdDK | http://vah.zenno.info/google/vidacha/new/crystal-asian-porn-star.html ]
![ breasts natural tits Hqwxb | http://vah.zenno.info/google/vidacha/new/natural-breasts-tits.html ]
![ photos women asian BptYJ | http://pidari.zenno.info/perviy/nah/asian-women-photos.html ]
![ asian shemales movies free QCMqd | http://vah.zenno.info/google/vidacha/new/free-asian-shemales-movies.html ]
![ hermaphrodite stars porn MlTrP | http://pidari.zenno.info/perviy/nah/hermaphrodite-porn-stars.html ]
![ shemale minneapolis lAiZz | http://pidari.zenno.info/perviy/nah/shemale-minneapolis.html ]
![ pictures rimming ncdeK | http://pidari.zenno.info/perviy/nah/rimming-pictures.html ]
![ clothing thai JncUR | http://pidari.zenno.info/perviy/nah/thai-clothing.html ]
![ lolita japanese rDCem | http://vah.zenno.info/google/vidacha/new/japanese-lolita.html ]
![ photo galleries shemale dDMHb | http://vah.zenno.info/google/vidacha/new/shemale-photo-galleries.html ]
![ big breasts japanese TQZXB | http://pidari.zenno.info/perviy/nah/japanese-big-breasts.html ]
![ with dicks free chicks personal site pics Acbmn | http://vah.zenno.info/google/vidacha/new/chicks-with-dicks-free-pics-personal-site.html ]
![ teens anal sexo FzTDI | http://pidari.zenno.info/perviy/nah/sexo-anal-teens.html ]
![ windows movies free cumshot media vZkns | http://vah.zenno.info/google/vidacha/new/windows-media-cumshot-movies-free.html ]
![ big asses tight and tits skWNT | http://vah.zenno.info/google/vidacha/new/tight-asses-and-big-tits.html ]
![ fucking bitch ass ZxkHW | http://pidari.zenno.info/perviy/nah/ass-fucking-bitch.html ]
![ in gay sex pennsylvania AVlHu | http://vah.zenno.info/google/vidacha/new/gay-sex-in-pennsylvania.html ]
![ huge breasts classy XKRTn | http://pidari.zenno.info/perviy/nah/classy-huge-breasts.html ]
![ character chinese elVvN | http://vah.zenno.info/google/vidacha/new/chinese-character.html ]
![ statistics of homosexuality EmVgI | http://pidari.zenno.info/perviy/nah/statistics-of-homosexuality.html ]
![ porn video asian of free ZdbHD | http://pidari.zenno.info/perviy/nah/free-video-of-asian-porn.html ]
![ giga tit hQDEC | http://pidari.zenno.info/perviy/nah/giga-tit.html ]
![ gay free pictures men wmWxu | http://vah.zenno.info/google/vidacha/new/gay-men-free-pictures.html ]
![ pictures gay twinks asian ypgfU | http://pidari.zenno.info/perviy/nah/asian-gay-twinks-pictures.html ]
![ japanese schoolgirls cgFaX | http://vah.zenno.info/google/vidacha/new/schoolgirls-japanese.html ]
![ asses beautiful uhmTM | http://vah.zenno.info/google/vidacha/new/beautiful-asses.html ]
![ interment japanese camps Zdxel | http://vah.zenno.info/google/vidacha/new/japanese-interment-camps.html ]
EfVkHQYzptBLyqC
--
forwarded from http://page.axiom-developer.org/zope/mathaction/123CompileModifiedSpadFile#msg20050820071924-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:43:07 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Sgi-0004cO-Ri
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:43:05 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Sge-0004YG-9w
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:00 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6SgZ-0004VB-Vo
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:42:56 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6SgY-0004Tk-L9
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:42:55 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Scm-0004zK-1U
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:39:00 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCckwl012006;
Sat, 20 Aug 2005 07:38:46 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820073845-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:38:46 -0500
Cc:
Subject: [Axiom-developer] [#41 fresh databases are not copied back for
build]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:43:02 -0000
Changes http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild/diff
--
![ transexuals photos XcnRT | http://pidari.zenno.info/perviy/nah/photos-transexuals.html ]
![ ass sample fucking movies IaQUu | http://vah.zenno.info/google/vidacha/new/sample-ass-fucking-movies.html ]
![ wide open assholes NYEwX | http://pidari.zenno.info/perviy/nah/wide-open-assholes.html ]
![ she male free pictures Hpxso | http://vah.zenno.info/google/vidacha/new/free-she-male-pictures.html ]
![ mpegs gallery shemale free pTjNo | http://pidari.zenno.info/perviy/nah/shemale-free-mpegs-gallery.html ]
![ men up the ass females fucking iOKXt | http://vah.zenno.info/google/vidacha/new/females-fucking-men-up-the-ass.html ]
![ with dicks chicks of free pictures OmIFy | http://vah.zenno.info/google/vidacha/new/free-pictures-of-chicks-with-dicks.html ]
![ gay ohio personals male pIwsj | http://vah.zenno.info/google/vidacha/new/ohio-gay-male-personals.html ]
![ transgendered high heels xQowR | http://vah.zenno.info/google/vidacha/new/transgendered-high-heels.html ]
![ naked tits of pictures huge free with women fYgeq | http://pidari.zenno.info/perviy/nah/free-pictures-of-naked-women-with-huge-tits.html ]
![ nice tits wxgkF | http://vah.zenno.info/google/vidacha/new/nice-tits.html ]
![ fucking white cocks anal black wZWmJ | http://pidari.zenno.info/perviy/nah/black-cocks-fucking-white-anal.html ]
![ hawaii tgirl and and and shemale transexual lJDyx | http://vah.zenno.info/google/vidacha/new/hawaii-and-transexual-and-shemale-and-tgirl.html ]
![ anal teen sex amateur XlKjq | http://vah.zenno.info/google/vidacha/new/amateur-teen-anal-sex.html ]
![ busty free bikini gallery EwZqi | http://vah.zenno.info/google/vidacha/new/free-busty-bikini-gallery.html ]
![ gays alaska boys QWruj | http://pidari.zenno.info/perviy/nah/alaska-gays-boys.html ]
![ book rope japanese bondage tEVhZ | http://vah.zenno.info/google/vidacha/new/japanese-rope-bondage-book.html ]
![ in derby girls asian WQnxY | http://pidari.zenno.info/perviy/nah/asian-girls-in-derby.html ]
![ forum movie anal doesT | http://pidari.zenno.info/perviy/nah/anal-movie-forum.html ]
![ asian sample lesbian photos nemWy | http://pidari.zenno.info/perviy/nah/asian-lesbian-sample-photos.html ]
![ transgendered resources boPnq | http://vah.zenno.info/google/vidacha/new/transgendered-resources.html ]
![ bbw amateur mature zFBqK | http://pidari.zenno.info/perviy/nah/amateur-bbw-mature.html ]
![ free shemale picturs PduLH | http://pidari.zenno.info/perviy/nah/free-shemale-picturs.html ]
![ xxx asian porn Mvuqz | http://vah.zenno.info/google/vidacha/new/asian-porn-xxx.html ]
![ asian models teen YoGIW | http://vah.zenno.info/google/vidacha/new/teen-asian-models.html ]
![ kissing gay gallery GFwAS | http://pidari.zenno.info/perviy/nah/gay-kissing-gallery.html ]
![ best gay videos xXrME | http://vah.zenno.info/google/vidacha/new/best-gay-videos.html ]
![ free anal penetration WjqtT | http://pidari.zenno.info/perviy/nah/free-anal-penetration.html ]
![ ass movie fat dIblL | http://vah.zenno.info/google/vidacha/new/ass-fat-movie.html ]
![ butt shemale fuck JDmwK | http://pidari.zenno.info/perviy/nah/shemale-butt-fuck.html ]
![ boys gay having fun qdwEB | http://vah.zenno.info/google/vidacha/new/gay-boys-having-fun.html ]
![ woman tits with big fat sonap | http://pidari.zenno.info/perviy/nah/fat-woman-with-big-tits.html ]
![ transvestite makeover bPECY | http://vah.zenno.info/google/vidacha/new/transvestite-makeover.html ]
![ muscle gay dSeNj | http://pidari.zenno.info/perviy/nah/muscle-gay.html ]
![ week last free pics gay male s kxtnu | http://pidari.zenno.info/perviy/nah/last-week-s-free-pics-male-gay.html ]
![ gay pics amateur tvISq | http://pidari.zenno.info/perviy/nah/amateur-gay-pics.html ]
![ my ass PCsTh | http://pidari.zenno.info/perviy/nah/my-ass.html ]
![ ireland gay PYpti | http://pidari.zenno.info/perviy/nah/gay-ireland.html ]
![ club chicago bbw SgwVB | http://vah.zenno.info/google/vidacha/new/bbw-chicago-club.html ]
![ having gay boys young sex HEbjt | http://pidari.zenno.info/perviy/nah/young-gay-boys-having-sex.html ]
![ com creamypies anal fucking NxrZc | http://vah.zenno.info/google/vidacha/new/creamypies-com-anal-fucking.html ]
![ all gay sex videos SgCRV | http://pidari.zenno.info/perviy/nah/all-gay-sex-videos.html ]
![ americans asian of pictures jlEhk | http://vah.zenno.info/google/vidacha/new/pictures-of-asian-americans.html ]
![ giganticus erectus homo adVRr | http://pidari.zenno.info/perviy/nah/homo-erectus-giganticus.html ]
![ gay rough rape tdMpK | http://pidari.zenno.info/perviy/nah/rough-gay-rape.html ]
![ pic gallery thumbnail tranny bxoEm | http://vah.zenno.info/google/vidacha/new/tranny-thumbnail-pic-gallery.html ]
![ free analsex Pnjtl | http://pidari.zenno.info/perviy/nah/free-analsex.html ]
![ free top shemale ZBsYL | http://vah.zenno.info/google/vidacha/new/free-shemale-top.html ]
![ asian sex phone IPvFq | http://vah.zenno.info/google/vidacha/new/asian-phone-sex.html ]
![ forum bbw gEAwO | http://vah.zenno.info/google/vidacha/new/bbw-forum.html ]
![ pictures anal showing black men sex zyFht | http://vah.zenno.info/google/vidacha/new/anal-sex-pictures-showing-black-men.html ]
![ white black gallery cumshot blowjob cPEzC | http://pidari.zenno.info/perviy/nah/blowjob-cumshot-gallery-black-white.html ]
wDAzhmGnLSoRJBH
--
forwarded from http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild#msg20050820073845-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:43:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Sgp-0004eV-OJ
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:43:12 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Sgf-0004Z3-Q6
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:02 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Sgb-0004W4-NC
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:42:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Sga-0004Tk-DN
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:42:56 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6ScO-0004wT-RR
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:38:37 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCcNwl011949;
Sat, 20 Aug 2005 07:38:23 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820073822-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:38:23 -0500
Cc:
Subject: [Axiom-developer] [#41 fresh databases are not copied back for
build] property change
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:43:05 -0000
Changes http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild/diff
--
Category: Axiom Mathematics => Axiom Interpreter
Severity: normal => serious
Status: open => closed
--
forwarded from http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild#msg20050820073822-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:43:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6ShZ-0004yp-6V
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:43:57 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6ShX-0004yM-C6
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6ShW-0004xs-2C
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6ShV-0004xm-NS
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:53 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sdi-00056K-UN
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:39:59 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCdjwl012148;
Sat, 20 Aug 2005 07:39:45 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820073944-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:39:45 -0500
Cc:
Subject: [Axiom-developer] [#5 )edit command ignores file name]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:43:55 -0000
Changes http://page.axiom-developer.org/zope/mathaction/5EditCommandIgnoresFileName/diff
--
![ shemales free amatuer HIJuK | http://vah.zenno.info/google/vidacha/new/free-amatuer-shemales.html ]
![ comic transgendered NjDiV | http://vah.zenno.info/google/vidacha/new/transgendered-comic.html ]
![ teens at gay risk eYqlo | http://vah.zenno.info/google/vidacha/new/gay-teens-at-risk.html ]
![ clean lick asshole CLuaQ | http://vah.zenno.info/google/vidacha/new/lick-asshole-clean.html ]
![ engine most search gay powerful LASRH | http://vah.zenno.info/google/vidacha/new/most-powerful-gay-search-engine.html ]
![ thai bikini yaKgE | http://pidari.zenno.info/perviy/nah/thai-bikini.html ]
![ young breasts kvYSD | http://vah.zenno.info/google/vidacha/new/young-breasts.html ]
![ free men pictures naked of qVOMs | http://vah.zenno.info/google/vidacha/new/free-pictures-of-naked-men.html ]
![ she male me fucked FySDO | http://vah.zenno.info/google/vidacha/new/she-male-fucked-me.html ]
![ hardcore sucking bisexual movies gay mmf bisexual guy NlQsn | http://pidari.zenno.info/perviy/nah/bisexual-guy-sucking-gay-bisexual-mmf-hardcore-movies.html ]
![ gay teen suicide GildA | http://vah.zenno.info/google/vidacha/new/gay-teen-suicide.html ]
![ big tits asain nCMyK | http://pidari.zenno.info/perviy/nah/asain-big-tits.html ]
![ wife free cumshots nevVa | http://vah.zenno.info/google/vidacha/new/free-wife-cumshots.html ]
![ free on cum her big tits YzXwF | http://vah.zenno.info/google/vidacha/new/free-cum-on-her-big-tits.html ]
![ eating gay free pics cum RgaIT | http://vah.zenno.info/google/vidacha/new/free-gay-cum-eating-pics.html ]
![ movies transsexual free ZKpAw | http://pidari.zenno.info/perviy/nah/free-transsexual-movies.html ]
![ young gay boys hot aShBy | http://vah.zenno.info/google/vidacha/new/hot-young-gay-boys.html ]
![ and guy girl white porn asian AsvVH | http://pidari.zenno.info/perviy/nah/asian-guy-and-white-girl-porn.html ]
![ tranny seatle kitty bZkRi | http://pidari.zenno.info/perviy/nah/kitty-tranny-seatle.html ]
![ cum dvd shots volume DaSfK | http://vah.zenno.info/google/vidacha/new/dvd-cum-shots-volume-.html ]
![ porn video anal sexo pgUaS | http://vah.zenno.info/google/vidacha/new/anal-porn-sexo-video.html ]
![ fat free teen nude lsbau | http://vah.zenno.info/google/vidacha/new/free-nude-fat-teen.html ]
![ pics gemini transvestite shemale nmbWD | http://vah.zenno.info/google/vidacha/new/gemini-transvestite-shemale-pics.html ]
![ photos hormones growth transexual breast LeUSa | http://vah.zenno.info/google/vidacha/new/breast-growth-hormones-photos-transexual.html ]
![ porn asian video KWdIu | http://pidari.zenno.info/perviy/nah/asian-video-porn.html ]
![ teen transvestite bfhiZ | http://vah.zenno.info/google/vidacha/new/transvestite-teen.html ]
![ big tits thumbs DeuLU | http://pidari.zenno.info/perviy/nah/big-tits-thumbs.html ]
![ gay pics free muscle mVNLD | http://vah.zenno.info/google/vidacha/new/free-gay-muscle-pics.html ]
![ extreme busty ZPvcK | http://pidari.zenno.info/perviy/nah/extreme-busty.html ]
![ of pieces ass ZoIiV | http://pidari.zenno.info/perviy/nah/pieces-of-ass.html ]
![ carp asian kKAOE | http://pidari.zenno.info/perviy/nah/asian-carp.html ]
![ asian schoolgirl porn kHTPG | http://vah.zenno.info/google/vidacha/new/asian-schoolgirl-porn.html ]
![ to straight videos gay GiLQI | http://vah.zenno.info/google/vidacha/new/straight-to-gay-videos.html ]
![ asian nude bear euTlh | http://vah.zenno.info/google/vidacha/new/asian-bear-nude.html ]
![ benz pics ladyboy LPXrk | http://pidari.zenno.info/perviy/nah/ladyboy-benz-pics.html ]
![ in shemale trannies pantyhose free porn JwjWi | http://pidari.zenno.info/perviy/nah/free-porn-shemale-trannies-in-pantyhose.html ]
![ chub gay links RPJIU | http://pidari.zenno.info/perviy/nah/chub-gay-links.html ]
![ cumshots gallery free wjBVv | http://vah.zenno.info/google/vidacha/new/cumshots-gallery-free.html ]
![ young twinks smooth QyJnZ | http://pidari.zenno.info/perviy/nah/smooth-young-twinks.html ]
![ hardcore shemales free GdxKj | http://pidari.zenno.info/perviy/nah/hardcore-shemales-free.html ]
![ gay videos free male PwIBN | http://vah.zenno.info/google/vidacha/new/free-gay-male-videos.html ]
![ personals gay alt vhfiF | http://vah.zenno.info/google/vidacha/new/alt-gay-personals.html ]
![ gay videos free sex MtAyD | http://pidari.zenno.info/perviy/nah/free-gay-videos-sex.html ]
![ janet boob jacksons yRnYu | http://vah.zenno.info/google/vidacha/new/janet-jacksons-boob.html ]
![ pics anna nicole busty smith yvPFJ | http://vah.zenno.info/google/vidacha/new/busty-anna-nicole-smith-pics.html ]
![ male female op transgender post mtZkE | http://pidari.zenno.info/perviy/nah/female-male-op-post-transgender.html ]
![ clips sex sex tranny MeQGC | http://vah.zenno.info/google/vidacha/new/tranny-sex-clips-sex.html ]
![ asian galleries hot free pussy msovy | http://vah.zenno.info/google/vidacha/new/free-hot-asian-pussy-galleries.html ]
![ free tits pictures sucking DIqcz | http://pidari.zenno.info/perviy/nah/free-pictures-sucking-tits.html ]
![ ladies busty nn Hiloa | http://pidari.zenno.info/perviy/nah/busty-nn-ladies.html ]
![ women american magazines asian ILKhC | http://pidari.zenno.info/perviy/nah/asian-american-women-magazines.html ]
![ vagina transsexual mTkth | http://vah.zenno.info/google/vidacha/new/transsexual-vagina.html ]
ozIvCFfjOAUVuky
--
forwarded from http://page.axiom-developer.org/zope/mathaction/5EditCommandIgnoresFileName#msg20050820073944-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:43:58 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6ShZ-0004yu-QU
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:43:57 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6ShX-0004yY-Gq
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6ShW-0004y9-TP
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:55 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6ShW-0004xm-JH
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:54 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sde-00055z-PC
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:39:55 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCdfwl012144;
Sat, 20 Aug 2005 07:39:41 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820073940-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:39:40 -0500
Cc:
Subject: [Axiom-developer] [#5 )edit command ignores file name] property
change
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:43:56 -0000
Changes http://page.axiom-developer.org/zope/mathaction/5EditCommandIgnoresFileName/diff
--
Category: Axiom on Windows => Axiom User Interface
Severity: normal => serious
Status: open => fix proposed
--
forwarded from http://page.axiom-developer.org/zope/mathaction/5EditCommandIgnoresFileName#msg20050820073940-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:46:22 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Sjs-0005Wl-DX
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:46:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Sjm-0005Tm-7A
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:46:14 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Sjj-0005Sw-6I
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:46:11 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Sjh-0005SK-O6
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:46:10 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sfz-0005OF-QK
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:42:20 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCg5wl012920;
Sat, 20 Aug 2005 07:42:05 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820074204-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:42:05 -0500
Cc:
Subject: [Axiom-developer] [#9 )hist )write foo.input]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:46:18 -0000
Changes http://page.axiom-developer.org/zope/mathaction/9HistWriteFooInput/diff
--
![ free transexuals movies QKpgk | http://pidari.zenno.info/perviy/nah/free-movies-transexuals.html ]
![ bbw personals dating QKzPx | http://pidari.zenno.info/perviy/nah/bbw-dating-personals.html ]
![ mature free bbw 1406 zQHMN | http://pidari.zenno.info/perviy/nah/free-bbw-mature-1406.html ]
![ shemale hardcore free xxx VBJUp | http://pidari.zenno.info/perviy/nah/free-shemale-hardcore-xxx.html ]
![ sex tranny reality sites free lwJKe | http://vah.zenno.info/google/vidacha/new/free-tranny-reality-sex-sites.html ]
![ hardcore chinese sex mArLM | http://vah.zenno.info/google/vidacha/new/hardcore-chinese-sex.html ]
![ pictures japanese free schoolgirls wACYF | http://pidari.zenno.info/perviy/nah/japanese-schoolgirls-free-pictures.html ]
![ chinese sex predictor pregnancy Evinl | http://vah.zenno.info/google/vidacha/new/chinese-pregnancy-sex-predictor.html ]
![ tits free nude cyVrB | http://vah.zenno.info/google/vidacha/new/free-nude-tits.html ]
![ gay thumbnails oSweM | http://pidari.zenno.info/perviy/nah/gay-thumbnails.html ]
![ naked whores asian qePiZ | http://vah.zenno.info/google/vidacha/new/naked-asian-whores.html ]
![ quicktime videos free gay IWRok | http://vah.zenno.info/google/vidacha/new/free-gay-quicktime-videos.html ]
![ big breasts animated ndFcQ | http://vah.zenno.info/google/vidacha/new/animated-big-breasts.html ]
![ hotels gay ft lauderdale oZGkt | http://vah.zenno.info/google/vidacha/new/ft-lauderdale-gay-hotels.html ]
![ shemales amateur gaZNs | http://pidari.zenno.info/perviy/nah/amateur-shemales.html ]
![ teens coming out gay jbSgY | http://pidari.zenno.info/perviy/nah/gay-coming-out-teens.html ]
![ asian singles Ftvju | http://pidari.zenno.info/perviy/nah/asian-singles.html ]
![ she movies male free oAMxd | http://pidari.zenno.info/perviy/nah/free-she-male-movies.html ]
![ fist anal free fucking babes pics DJgBr | http://vah.zenno.info/google/vidacha/new/free-anal-fist-fucking-babes-pics.html ]
![ shemale orgy rUbJE | http://vah.zenno.info/google/vidacha/new/shemale-orgy.html ]
![ models top asian QyRMG | http://pidari.zenno.info/perviy/nah/asian-top-models.html ]
![ bear asian nude JpBls | http://pidari.zenno.info/perviy/nah/asian-bear-nude.html ]
![ model asian lon fhvOi | http://vah.zenno.info/google/vidacha/new/lon-asian-model.html ]
![ airline thai fgUnE | http://vah.zenno.info/google/vidacha/new/thai-airline.html ]
![ sex toon japanese SgArm | http://vah.zenno.info/google/vidacha/new/japanese-sex-toon.html ]
![ cumshots xxx free iEgVu | http://pidari.zenno.info/perviy/nah/free-xxx-cumshots.html ]
![ juicy boobs aIDfL | http://pidari.zenno.info/perviy/nah/juicy-boobs.html ]
![ juggs joy YQiUu | http://vah.zenno.info/google/vidacha/new/joy-juggs.html ]
![ blowjobs free giving black cumshots teens facials kOdFy | http://pidari.zenno.info/perviy/nah/free-black-teens-giving-blowjobs-facials-cumshots.html ]
![ pics gay men naked free VPsIK | http://pidari.zenno.info/perviy/nah/free-naked-gay-men-pics.html ]
![ pantyhose bondage asian OJIfV | http://vah.zenno.info/google/vidacha/new/asian-bondage-pantyhose.html ]
![ free bbw fat PdZyB | http://vah.zenno.info/google/vidacha/new/free-fat-bbw.html ]
![ sites free shemale aiQFl | http://pidari.zenno.info/perviy/nah/shemale-free-sites.html ]
![ cause homosexuality of cXxHa | http://pidari.zenno.info/perviy/nah/cause-of-homosexuality.html ]
![ sex asians tFnLS | http://vah.zenno.info/google/vidacha/new/sex-asians.html ]
![ ass dildo galleries fucking eLXim | http://vah.zenno.info/google/vidacha/new/dildo-ass-fucking-galleries.html ]
![ ass lesbians fat UxqpX | http://pidari.zenno.info/perviy/nah/ass-fat-lesbians.html ]
![ description transgendered YbGCl | http://vah.zenno.info/google/vidacha/new/transgendered-description.html ]
![ cum facials shots thumbnails XZIFa | http://vah.zenno.info/google/vidacha/new/cum-shots-facials-thumbnails.html ]
![ male she free blowjob gOvut | http://vah.zenno.info/google/vidacha/new/she-male-blowjob-free.html ]
![ asian hairy girls iSrXL | http://vah.zenno.info/google/vidacha/new/hairy-asian-girls.html ]
![ com asian sex nNQoO | http://pidari.zenno.info/perviy/nah/asian-sex-com.html ]
![ pussy movie clips asian gone teens wild LUhxi | http://pidari.zenno.info/perviy/nah/asian-teens-gone-wild-pussy-movie-clips.html ]
![ japanese star hardcore asian fujiko pictures gqfRB | http://vah.zenno.info/google/vidacha/new/japanese-hardcore-star-fujiko-asian-pictures.html ]
![ rape fantasy free pictures gay XKYyR | http://vah.zenno.info/google/vidacha/new/free-gay-fantasy-rape-pictures.html ]
![ nude teen and pussies tits rgTai | http://vah.zenno.info/google/vidacha/new/nude-teen-pussies-and-tits.html ]
![ to legally allowed marry couples be homosexual sFDAz | http://vah.zenno.info/google/vidacha/new/homosexual-couples-be-allowed-to-legally-marry.html ]
![ stocking asian girls XMKOF | http://pidari.zenno.info/perviy/nah/asian-stocking-girls.html ]
![ anal free teen pictures kzaXm | http://pidari.zenno.info/perviy/nah/free-anal-teen-pictures.html ]
![ movie bbw links RhZoq | http://pidari.zenno.info/perviy/nah/bbw-movie-links.html ]
![ asian videos bondage KHOJG | http://vah.zenno.info/google/vidacha/new/asian-bondage-videos.html ]
![ assholes male HlTIY | http://vah.zenno.info/google/vidacha/new/male-assholes.html ]
CPGyslvrQKHokdz
--
forwarded from http://page.axiom-developer.org/zope/mathaction/9HistWriteFooInput#msg20050820074204-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 08:46:27 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Sjw-0005ZW-Sz
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 08:46:25 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Sjt-0005X8-09
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:46:21 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Sjq-0005VA-2d
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:46:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Sjp-0005SK-E6
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:46:17 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sfc-0005NS-DY
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:41:56 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCfgwl012862;
Sat, 20 Aug 2005 07:41:42 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820074142-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:41:42 -0500
Cc:
Subject: [Axiom-developer] [#9 )hist )write foo.input] property change
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 12:46:23 -0000
Changes http://page.axiom-developer.org/zope/mathaction/9HistWriteFooInput/diff
--
Category: Axiom on Windows => Axiom Documentation
Severity: normal => wishlist
Status: open => postponed
--
forwarded from http://page.axiom-developer.org/zope/mathaction/9HistWriteFooInput#msg20050820074142-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:09:11 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T5x-0003Xr-Ew
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:09:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T5u-0003We-CE
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:06 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T5r-0003VX-FE
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:04 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T5q-0003VM-2u
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:02 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SrR-00060y-GI
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:54:09 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCrtwl015835;
Sat, 20 Aug 2005 07:53:55 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075355-0500@page.axiom-developer.org>
In-reply-to: <42CB4A68.D49A0001@cunyvm.cuny.edu>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:53:55 -0500
Cc:
Subject: [Axiom-developer] [MathAction problems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:09:07 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionProblems/diff
--
![ gay white youth plains zwrag | http://vah.zenno.info/google/vidacha/new/gay-youth-white-plains.html ]
![ gay beach pics kmxJu | http://vah.zenno.info/google/vidacha/new/gay-beach-pics.html ]
![ free teen tits pics CGeXO | http://vah.zenno.info/google/vidacha/new/free-pics-teen-tits.html ]
![ she male boys rBViA | http://pidari.zenno.info/perviy/nah/she-male-boys.html ]
![ pics anal NZXpQ | http://pidari.zenno.info/perviy/nah/pics-anal.html ]
![ sex engins xxx tranny search cQeMg | http://vah.zenno.info/google/vidacha/new/tranny-xxx-sex-search-engins.html ]
![ asian porn warez YkLDP | http://pidari.zenno.info/perviy/nah/asian-porn-warez.html ]
![ fat big tits uk arses GCOtf | http://pidari.zenno.info/perviy/nah/big-tits-fat-arses-uk.html ]
![ with young girls tits big black WIvFi | http://vah.zenno.info/google/vidacha/new/young-black-girls-with-big-tits.html ]
![ tgirls fuctional fully zZstB | http://pidari.zenno.info/perviy/nah/fuctional-fully-tgirls.html ]
![ service she free male dating OtuXR | http://pidari.zenno.info/perviy/nah/free-she-male-dating-service.html ]
![ clubs gay phoenix of intaf | http://vah.zenno.info/google/vidacha/new/gay-clubs-of-phoenix.html ]
![ homo first sapiens XeEJl | http://vah.zenno.info/google/vidacha/new/first-homo-sapiens.html ]
![ free anal fisting pics TClKP | http://vah.zenno.info/google/vidacha/new/free-anal-fisting-pics.html ]
![ asian sex thumbs movies VvxPf | http://pidari.zenno.info/perviy/nah/asian-sex-thumbs-movies.html ]
![ galleries free cumshots facial video gaRSh | http://pidari.zenno.info/perviy/nah/facial-cumshots-free-video-galleries.html ]
![ solo cum shots eohCB | http://vah.zenno.info/google/vidacha/new/solo-cum-shots.html ]
![ anal hentai Sysfw | http://pidari.zenno.info/perviy/nah/hentai-anal.html ]
![ miami hotels gay AIpUQ | http://pidari.zenno.info/perviy/nah/gay-miami-hotels.html ]
![ mtf brooklyn transgendered women PcAuQ | http://vah.zenno.info/google/vidacha/new/brooklyn-mtf-transgendered-women.html ]
![ teen cumshots free gay pxBkL | http://vah.zenno.info/google/vidacha/new/free-gay-teen-cumshots.html ]
![ hotels motels francisco gay san Rjgnb | http://vah.zenno.info/google/vidacha/new/san-francisco-gay-hotels-motels.html ]
![ titties big gOXDE | http://vah.zenno.info/google/vidacha/new/big-titties.html ]
![ big small in breast bra wKTEt | http://vah.zenno.info/google/vidacha/new/big-breast-in-small-bra.html ]
![ thumbnail black galleries shemales free of rgldt | http://vah.zenno.info/google/vidacha/new/free-thumbnail-galleries-of-black-shemales.html ]
![ anal probing uVQWc | http://pidari.zenno.info/perviy/nah/anal-probing.html ]
![ free big tits boobs hmpBX | http://vah.zenno.info/google/vidacha/new/free-big-tits-boobs.html ]
![ anal grannies SjwIi | http://pidari.zenno.info/perviy/nah/anal-grannies.html ]
![ over sings until lady fat i taint VTplE | http://pidari.zenno.info/perviy/nah/fat-i-lady-over-sings-taint-until.html ]
![ gay stories india YERBd | http://pidari.zenno.info/perviy/nah/gay-stories-india.html ]
![ porn anal site rqIEm | http://pidari.zenno.info/perviy/nah/anal-porn-site.html ]
![ blowjobs street pAyfu | http://pidari.zenno.info/perviy/nah/street-blowjobs.html ]
![ adult japanese videos sex dYUEj | http://vah.zenno.info/google/vidacha/new/japanese-adult-sex-videos.html ]
![ chat gay videos lHgQz | http://pidari.zenno.info/perviy/nah/gay-videos-chat.html ]
![ free cumshot bestiality movies lKuIP | http://pidari.zenno.info/perviy/nah/free-bestiality-cumshot-movies.html ]
![ bigtits movies cumshot HKXny | http://vah.zenno.info/google/vidacha/new/bigtits-cumshot-movies.html ]
![ rope breast japanese bondage CJxrG | http://pidari.zenno.info/perviy/nah/japanese-rope-breast-bondage.html ]
![ legs shemale slim asian AlwGC | http://vah.zenno.info/google/vidacha/new/shemale-slim-legs-asian.html ]
![ girls rimming JjEmG | http://vah.zenno.info/google/vidacha/new/rimming-girls.html ]
![ and arses huge gallerys huge of tits bbws free with gZCpz | http://pidari.zenno.info/perviy/nah/free-gallerys-of-bbws-with-huge-tits-and-huge-arses.html ]
![ asian stocking sex free movies tomrl | http://pidari.zenno.info/perviy/nah/free-asian-stocking-sex-movies.html ]
![ nude gay little russian boys RXNYt | http://vah.zenno.info/google/vidacha/new/little-nude-russian-gay-boys.html ]
![ pics men gay cocks of free nvMAZ | http://pidari.zenno.info/perviy/nah/free-pics-of-gay-men-cocks.html ]
![ tranny jakarta WhSQu | http://vah.zenno.info/google/vidacha/new/tranny-jakarta.html ]
![ fat slut bsNjd | http://pidari.zenno.info/perviy/nah/fat-slut.html ]
![ museum of sex chinese cDYvr | http://vah.zenno.info/google/vidacha/new/chinese-museum-of-sex.html ]
![ shemale in texas escorts KohgI | http://vah.zenno.info/google/vidacha/new/shemale-escorts-in-texas.html ]
![ thumbnials free pussy asian msqyE | http://pidari.zenno.info/perviy/nah/free-asian-pussy-thumbnials.html ]
![ rubber ladyboy latex asian SDrvc | http://vah.zenno.info/google/vidacha/new/rubber-latex-asian-ladyboy.html ]
![ teen cum shots anal WQgBN | http://vah.zenno.info/google/vidacha/new/teen-anal-cum-shots.html ]
![ movies girls asian IGXsT | http://pidari.zenno.info/perviy/nah/asian-girls-movies.html ]
![ big boobs bikinis and WRusD | http://pidari.zenno.info/perviy/nah/big-boobs-and-bikinis.html ]
ormPpkKWTDEQqNA
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionProblems#msg20050820075355-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:09:53 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T6d-0003z5-7F
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:09:51 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T6V-0003uO-PM
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T6S-0003tL-AV
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:42 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6Q-0003VM-6j
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:38 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Stz-000666-3V
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:56:47 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCuWwl016695;
Sat, 20 Aug 2005 07:56:32 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075632-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:56:32 -0500
Cc:
Subject: [Axiom-developer] [MathActionRSSedit]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:09:47 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--
![ gay free pics blowjob fUwOs | http://pidari.zenno.info/perviy/nah/free-gay-blowjob-pics.html ]
![ instructions sex anal ApBQy | http://vah.zenno.info/google/vidacha/new/anal-sex-instructions.html ]
![ blowjob give a UPbyt | http://vah.zenno.info/google/vidacha/new/give-a-blowjob.html ]
![ media links lesbian gay and eIWKX | http://pidari.zenno.info/perviy/nah/gay-and-lesbian-media-links.html ]
![ boobs womens QUkbO | http://pidari.zenno.info/perviy/nah/womens-boobs.html ]
![ european warriors early transvestite modern TksMo | http://pidari.zenno.info/perviy/nah/early-modern-european-transvestite-warriors.html ]
![ black shots cum women with white CELmG | http://pidari.zenno.info/perviy/nah/black-cum-shots-with-white-women.html ]
![ orgasm and cumshots lUXuA | http://pidari.zenno.info/perviy/nah/orgasm-and-cumshots.html ]
![ gay israel travel VzPks | http://pidari.zenno.info/perviy/nah/israel-gay-travel.html ]
![ boy gay teen yEjAO | http://vah.zenno.info/google/vidacha/new/teen-boy-gay.html ]
![ sex downloadable videos male gay qDQHx | http://vah.zenno.info/google/vidacha/new/gay-male-sex-downloadable-videos.html ]
![ exotic young asian of ladies pictures uNVSo | http://pidari.zenno.info/perviy/nah/pictures-of-exotic-asian-young-ladies.html ]
![ clips gay lvwop | http://vah.zenno.info/google/vidacha/new/gay-clips.html ]
![ asian lolita girls eGJcp | http://pidari.zenno.info/perviy/nah/asian-lolita-girls.html ]
![ lesbian cheergirl naked titties teen SHdUG | http://pidari.zenno.info/perviy/nah/titties-teen-cheergirl-naked-lesbian.html ]
![ tranny girls ZCVAW | http://pidari.zenno.info/perviy/nah/tranny-girls.html ]
![ tiny ass iSGAK | http://pidari.zenno.info/perviy/nah/ass-tiny.html ]
![ jacksons boob super bowl janet aoHSO | http://vah.zenno.info/google/vidacha/new/janet-jacksons-boob-super-bowl.html ]
![ sex web sites japanese NyPKi | http://pidari.zenno.info/perviy/nah/japanese-web-sites-sex.html ]
![ free xxx teenboy gay links gallery lefun | http://pidari.zenno.info/perviy/nah/free-xxx-gay-teenboy-gallery-links.html ]
![ cumshot facial free gallery ipvzG | http://pidari.zenno.info/perviy/nah/free-cumshot-facial-gallery.html ]
![ on boobs beach big the VjYUw | http://vah.zenno.info/google/vidacha/new/big-boobs-on-the-beach.html ]
![ escort atlanta transsexual zyCLt | http://pidari.zenno.info/perviy/nah/atlanta-escort-transsexual.html ]
![ rapes boy man old gay xEyRK | http://pidari.zenno.info/perviy/nah/old-gay-man-rapes-boy.html ]
![ positions for intercourse anal QADtV | http://vah.zenno.info/google/vidacha/new/positions-for-anal-intercourse.html ]
![ teen free gay gallery EyJoS | http://vah.zenno.info/google/vidacha/new/gay-teen-gallery-free.html ]
![ scene leather gay sFBEX | http://vah.zenno.info/google/vidacha/new/gay-leather-scene.html ]
![ asian cum facials QJWDO | http://vah.zenno.info/google/vidacha/new/asian-cum-facials.html ]
![ free hardcore anal free sex FQhNG | http://pidari.zenno.info/perviy/nah/free-free-hardcore-anal-sex.html ]
![ lesson and on homosexuality verse bible hnkNK | http://vah.zenno.info/google/vidacha/new/bible-lesson-on-homosexuality-and-verse.html ]
![ first sapidens homo wWspQ | http://vah.zenno.info/google/vidacha/new/first-homo-sapidens.html ]
![ shemale trailers lnmYI | http://vah.zenno.info/google/vidacha/new/shemale-trailers.html ]
![ anal free sex black pictures hDrEu | http://vah.zenno.info/google/vidacha/new/free-black-anal-sex-pictures.html ]
![ ass teen ebony hfPIM | http://pidari.zenno.info/perviy/nah/ebony-teen-ass.html ]
![ gay rape force aFJGD | http://pidari.zenno.info/perviy/nah/gay-rape-force.html ]
![ teens blowjobs hEdpH | http://pidari.zenno.info/perviy/nah/teens-blowjobs.html ]
![ asian sex Qqlzi | http://vah.zenno.info/google/vidacha/new/asian-sex.html ]
![ gay erotic stories men chubby tUfco | http://vah.zenno.info/google/vidacha/new/chubby-gay-men-erotic-stories.html ]
![ teen tits sue pqCuA | http://vah.zenno.info/google/vidacha/new/teen-tits-sue.html ]
![ ladyboys shemales latino kpVWz | http://vah.zenno.info/google/vidacha/new/latino-shemales-ladyboys.html ]
![ teen white ass RMwcA | http://pidari.zenno.info/perviy/nah/ass-teen-white.html ]
![ transexual brest kxCli | http://vah.zenno.info/google/vidacha/new/transexual-brest.html ]
![ free ass gallery SrqFE | http://pidari.zenno.info/perviy/nah/free-ass-gallery.html ]
![ homo malaika uBChR | http://vah.zenno.info/google/vidacha/new/malaika-homo.html ]
![ ass massive cock fucking pics yZQxr | http://pidari.zenno.info/perviy/nah/massive-cock-ass-fucking-pics.html ]
![ tits nutural free big BMPZt | http://pidari.zenno.info/perviy/nah/free-big-nutural-tits.html ]
![ gay bdsm stories male men sAYny | http://vah.zenno.info/google/vidacha/new/gay-male-bdsm-stories-men.html ]
![ galleries hardcore free bbw VhbSo | http://pidari.zenno.info/perviy/nah/free-bbw-hardcore-galleries.html ]
![ penetrations sex XOIFu | http://vah.zenno.info/google/vidacha/new/sex-penetrations.html ]
![ sex teen movies gay young free DTtWN | http://pidari.zenno.info/perviy/nah/free-gay-young-teen-sex-movies.html ]
![ first anal PqUdx | http://vah.zenno.info/google/vidacha/new/anal-first.html ]
![ thai ladyboy tgirl fgNvc | http://pidari.zenno.info/perviy/nah/ladyboy-tgirl-thai.html ]
aSNibHIwXCPzAxM
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit#msg20050820075632-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:09:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T6e-00040A-He
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:09:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T6Y-0003uv-DW
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:47 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T6U-0003ti-TL
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6R-0003VM-AB
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:39 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Str-00065i-EP
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:56:39 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCuPwl016672;
Sat, 20 Aug 2005 07:56:25 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075625-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:56:25 -0500
Cc:
Subject: [Axiom-developer] [MathActionRSSedit]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:09:48 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--
![ ass huge hole fMvZI | http://vah.zenno.info/google/vidacha/new/huge-ass-hole.html ]
![ anal hardcore older oitTq | http://pidari.zenno.info/perviy/nah/older-anal-hardcore.html ]
![ gay boys pictures teen FlSez | http://pidari.zenno.info/perviy/nah/pictures-gay-teen-boys.html ]
![ transsexual daily GCpKL | http://pidari.zenno.info/perviy/nah/daily-transsexual.html ]
![ movies big free assian tit pzRhC | http://pidari.zenno.info/perviy/nah/free-assian-big-tit-movies.html ]
![ fat of nude pic chick UZtEn | http://vah.zenno.info/google/vidacha/new/nude-pic-of-fat-chick.html ]
![ free pics shemale jTzhN | http://pidari.zenno.info/perviy/nah/shemale-free-pics.html ]
![ pornstar free big tits bnChG | http://pidari.zenno.info/perviy/nah/free-pornstar-big-tits.html ]
![ gay sex fat jtLPW | http://pidari.zenno.info/perviy/nah/fat-gay-sex.html ]
![ straming free porn asian TNAfH | http://pidari.zenno.info/perviy/nah/free-straming-asian-porn.html ]
![ pics mpegs analingus or FPXfs | http://pidari.zenno.info/perviy/nah/analingus-pics-or-mpegs.html ]
![ free boobs porn big esiAw | http://vah.zenno.info/google/vidacha/new/free-big-boobs-porn.html ]
![ free ass fucking movie tKmdJ | http://vah.zenno.info/google/vidacha/new/free-ass-fucking-movie.html ]
![ tits hot and ass free big PZTGi | http://vah.zenno.info/google/vidacha/new/free-hot-ass-and-big-tits.html ]
![ asian models adultos lGvNn | http://pidari.zenno.info/perviy/nah/asian-models-adultos.html ]
![ free for tranny pictures aPRnw | http://pidari.zenno.info/perviy/nah/tranny-pictures-for-free.html ]
![ ebony tits natural big amanda white DgteQ | http://vah.zenno.info/google/vidacha/new/amanda-white-big-natural-ebony-tits.html ]
![ big boobs white aCiUF | http://vah.zenno.info/google/vidacha/new/big-white-boobs.html ]
![ sao shemale in brasil escorts paulo vUqEt | http://vah.zenno.info/google/vidacha/new/shemale-escorts-in-sao-paulo-brasil.html ]
![ anime big tits free TWPog | http://vah.zenno.info/google/vidacha/new/anime-big-tits-free.html ]
![ ass mouth to movie Jmdgx | http://vah.zenno.info/google/vidacha/new/ass-to-mouth-movie.html ]
![ transvestites of photos CnEKQ | http://pidari.zenno.info/perviy/nah/photos-of-transvestites.html ]
![ and of constitution 14 amendment the homosexuality QxwqL | http://vah.zenno.info/google/vidacha/new/14-amendment-of-the-constitution-and-homosexuality.html ]
![ lingerie transvestites in zWKER | http://pidari.zenno.info/perviy/nah/transvestites-in-lingerie.html ]
![ couple anal teen qArOL | http://vah.zenno.info/google/vidacha/new/teen-couple-anal.html ]
![ twink mpegs free gay yeuqB | http://pidari.zenno.info/perviy/nah/free-gay-twink-mpegs.html ]
![ animated gay gifs lTnDK | http://vah.zenno.info/google/vidacha/new/gay-animated-gifs.html ]
![ japanese girl sex boy RJgkZ | http://pidari.zenno.info/perviy/nah/japanese-sex-boy-girl.html ]
![ gay nude boys umhWt | http://vah.zenno.info/google/vidacha/new/nude-gay-boys.html ]
![ asian pussy free galleries peeing vKVNT | http://vah.zenno.info/google/vidacha/new/free-peeing-asian-pussy-galleries.html ]
![ white ass big nehaf | http://vah.zenno.info/google/vidacha/new/big-white-ass.html ]
![ surprize tranny YuWqB | http://vah.zenno.info/google/vidacha/new/tranny-surprize.html ]
![ fake breasts huge qGJDS | http://pidari.zenno.info/perviy/nah/fake-huge-breasts.html ]
![ asians nude slender thUvd | http://vah.zenno.info/google/vidacha/new/nude-slender-asians.html ]
![ worship ass 5 nlFQY | http://pidari.zenno.info/perviy/nah/ass-worship-5.html ]
![ gay horror stories ENdAK | http://vah.zenno.info/google/vidacha/new/gay-horror-stories.html ]
![ thai elephant fhBNk | http://vah.zenno.info/google/vidacha/new/elephant-thai.html ]
![ porn tranny free OqZeL | http://pidari.zenno.info/perviy/nah/free-tranny-porn.html ]
![ bareback gay IpjoY | http://vah.zenno.info/google/vidacha/new/gay-bareback.html ]
![ porn erect cute asian and ladyboy trannies free AsBCk | http://pidari.zenno.info/perviy/nah/free-porn-cute-and-erect-asian-ladyboy-trannies.html ]
![ gay videos japanese KaiZQ | http://vah.zenno.info/google/vidacha/new/japanese-gay-videos.html ]
![ big bbw PLKqv | http://pidari.zenno.info/perviy/nah/big-bbw.html ]
![ cum mature facials facial pogos shot UGxth | http://vah.zenno.info/google/vidacha/new/pogos-mature-facials-shot-cum-facial.html ]
![ bang gang fucking asian pussy zItRO | http://vah.zenno.info/google/vidacha/new/gang-bang-asian-fucking-pussy.html ]
![ woman asian naked XHdYs | http://pidari.zenno.info/perviy/nah/naked-asian-woman.html ]
![ sites homosexual YNgzC | http://pidari.zenno.info/perviy/nah/homosexual-sites.html ]
![ transsexual sites free eElsy | http://vah.zenno.info/google/vidacha/new/free-transsexual-sites.html ]
![ gay penis teens Qgojv | http://pidari.zenno.info/perviy/nah/gay-teens-penis.html ]
![ big tits thumbnail iWjFP | http://vah.zenno.info/google/vidacha/new/big-tits-thumbnail.html ]
![ black woman pic naked fat GvDhE | http://vah.zenno.info/google/vidacha/new/black-fat-naked-pic-woman.html ]
![ ladyboy nat bVyKn | http://vah.zenno.info/google/vidacha/new/ladyboy-nat.html ]
![ lingerie bbw AXYUV | http://vah.zenno.info/google/vidacha/new/bbw-lingerie.html ]
rpveGShyONmJzgc
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit#msg20050820075625-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:10:31 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T7E-0004DJ-Vh
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:10:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T79-0004BP-Cg
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:10:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T77-0004B4-NU
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:10:22 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6k-0003VM-Fo
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:59 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sr2-0005zu-Gx
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:53:44 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCrUwl015766;
Sat, 20 Aug 2005 07:53:30 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075329-0500@page.axiom-developer.org>
In-reply-to: <20050705213323-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:53:30 -0500
Cc:
Subject: [Axiom-developer] [MathAction problems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:10:25 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionProblems/diff
--
![ pics gay sex fighters fire drVQp | http://vah.zenno.info/google/vidacha/new/gay-fire-fighters-sex-pics.html ]
![ big mpg tits qzcjb | http://pidari.zenno.info/perviy/nah/big-tits-mpg.html ]
![ recipe thai Sivxl | http://pidari.zenno.info/perviy/nah/thai-recipe.html ]
![ pictures wives anal sex free having OvzJw | http://vah.zenno.info/google/vidacha/new/wives-having-anal-sex-free-pictures.html ]
![ sex thumbnail anal awWVh | http://pidari.zenno.info/perviy/nah/anal-sex-thumbnail.html ]
![ fat lady pantie HtUJC | http://vah.zenno.info/google/vidacha/new/fat-lady-pantie.html ]
![ pictures naked asian girls of wCPog | http://pidari.zenno.info/perviy/nah/naked-pictures-of-asian-girls.html ]
![ pictures free shemales ezCBO | http://vah.zenno.info/google/vidacha/new/shemales-pictures-free.html ]
![ shemale pix free wBuFC | http://vah.zenno.info/google/vidacha/new/free-shemale-pix.html ]
![ travel diary gay waYim | http://pidari.zenno.info/perviy/nah/gay-travel-diary.html ]
![ gay thumbs nmQSk | http://pidari.zenno.info/perviy/nah/gay-thumbs.html ]
![ hermaphrodites of biology DNiJd | http://vah.zenno.info/google/vidacha/new/biology-of-hermaphrodites.html ]
![ free video big tits sample black SjyVn | http://pidari.zenno.info/perviy/nah/big-black-tits-free-sample-video.html ]
![ jethro transsexual tull AqVax | http://vah.zenno.info/google/vidacha/new/jethro-tull-transsexual.html ]
![ amateur porn gay Rbstj | http://vah.zenno.info/google/vidacha/new/amateur-gay-porn.html ]
![ transvestite manchester UXeNM | http://vah.zenno.info/google/vidacha/new/transvestite-manchester.html ]
![ single models sexy asian JXIOd | http://pidari.zenno.info/perviy/nah/sexy-single-asian-models.html ]
![ men nude asian JmdiO | http://vah.zenno.info/google/vidacha/new/asian-men-nude.html ]
![ anal lesbian foCsl | http://pidari.zenno.info/perviy/nah/lesbian-anal.html ]
![ bbw galleries picture free vViLS | http://vah.zenno.info/google/vidacha/new/free-bbw-picture-galleries.html ]
![ fist pics free gay dildos YQWeR | http://pidari.zenno.info/perviy/nah/fist-dildos-gay-free-pics.html ]
![ porn free asian teen gjpCT | http://vah.zenno.info/google/vidacha/new/asian-teen-free-porn.html ]
![ tits pussy free ZqCzs | http://pidari.zenno.info/perviy/nah/free-pussy-tits.html ]
![ video sex anal gay hAdEF | http://pidari.zenno.info/perviy/nah/gay-anal-sex-video.html ]
![ cum sex anal in gtHAr | http://pidari.zenno.info/perviy/nah/cum-in-anal-sex.html ]
![ ladyboys free QeHbx | http://vah.zenno.info/google/vidacha/new/free-ladyboys.html ]
![ phone ireland sex shemale GjziN | http://pidari.zenno.info/perviy/nah/ireland-shemale-phone-sex.html ]
![ video penetration anal free NkQTS | http://vah.zenno.info/google/vidacha/new/anal-free-penetration-video.html ]
![ boys fuck gay zwePB | http://pidari.zenno.info/perviy/nah/gay-boys-fuck.html ]
![ woman in lingerie fat sexy KOMri | http://pidari.zenno.info/perviy/nah/fat-in-lingerie-sexy-woman.html ]
![ shemales free online OFjkS | http://pidari.zenno.info/perviy/nah/shemales-online-free.html ]
![ shes he KaFRq | http://pidari.zenno.info/perviy/nah/he-shes.html ]
![ adult asian girls lgfzC | http://vah.zenno.info/google/vidacha/new/adult-asian-girls.html ]
![ big pictures free natual boobs lFXEH | http://pidari.zenno.info/perviy/nah/big-natual-boobs-free-pictures.html ]
![ free men porn gay Iedti | http://vah.zenno.info/google/vidacha/new/free-gay-men-porn.html ]
![ huge tits unnatural ANZbj | http://vah.zenno.info/google/vidacha/new/huge-unnatural-tits.html ]
![ gay asshole open zlRGx | http://vah.zenno.info/google/vidacha/new/gay-open-asshole.html ]
![ gay pics rape UFqzw | http://vah.zenno.info/google/vidacha/new/gay-rape-pics.html ]
![ with women hot pics huge wearing of tits free bras OaXuN | http://vah.zenno.info/google/vidacha/new/hot-free-pics-of-women-with-huge-tits-wearing-bras.html ]
![ babe boy fat backstreet DcKli | http://vah.zenno.info/google/vidacha/new/babe-backstreet-boy-fat.html ]
![ tits teen tiny GAqrz | http://vah.zenno.info/google/vidacha/new/tiny-teen-tits.html ]
![ huge of pictures lactating breasts gYNUk | http://pidari.zenno.info/perviy/nah/pictures-of-huge-lactating-breasts.html ]
![ lesbians shemale GSvPd | http://pidari.zenno.info/perviy/nah/shemale-lesbians.html ]
![ tranny gallery YHXNm | http://pidari.zenno.info/perviy/nah/tranny-gallery.html ]
![ shemale phonesex VykgW | http://vah.zenno.info/google/vidacha/new/shemale-phonesex.html ]
![ cumshots gallery UIymL | http://pidari.zenno.info/perviy/nah/cumshots-gallery.html ]
![ for you thai jrYvZ | http://vah.zenno.info/google/vidacha/new/thai-for-you.html ]
![ gay site TpjXC | http://vah.zenno.info/google/vidacha/new/gay-site.html ]
![ movies for free anime gay uUQDn | http://pidari.zenno.info/perviy/nah/gay-anime-movies-for-free.html ]
![ video shots cum RINlS | http://vah.zenno.info/google/vidacha/new/video-cum-shots.html ]
![ erectus homo images fVWbS | http://pidari.zenno.info/perviy/nah/homo-erectus-images.html ]
![ busty latinas free YyQFO | http://pidari.zenno.info/perviy/nah/free-busty-latinas.html ]
UfQOnBNtRlbrdsv
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionProblems#msg20050820075329-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:11:04 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T7o-0004Jh-1B
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:11:04 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T6l-000470-AY
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:59 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T6h-000442-JW
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:56 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6g-0003VM-Vk
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:55 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SrZ-00061B-W9
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:54:18 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCs4wl015881;
Sat, 20 Aug 2005 07:54:04 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075403-0500@page.axiom-developer.org>
In-reply-to: <20050706191712-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:54:04 -0500
Cc:
Subject: [Axiom-developer] [MathAction problems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:11:01 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionProblems/diff
--
![ brown big tits EldNP | http://pidari.zenno.info/perviy/nah/big-brown-tits.html ]
![ japanese baby names zPAVe | http://vah.zenno.info/google/vidacha/new/japanese-baby-names.html ]
![ tranny clips free ozalR | http://pidari.zenno.info/perviy/nah/tranny-free-clips.html ]
![ amsterdam boys gay experience first sexual CRMXa | http://vah.zenno.info/google/vidacha/new/amsterdam-boys-first-gay-sexual-experience.html ]
![ asian women in lingerie ZRnFL | http://pidari.zenno.info/perviy/nah/asian-women-in-lingerie.html ]
![ playboys big breasts onSuL | http://pidari.zenno.info/perviy/nah/playboys-big-breasts.html ]
![ gay magazine jLONl | http://pidari.zenno.info/perviy/nah/gay-magazine.html ]
![ fat porn free aNvCk | http://pidari.zenno.info/perviy/nah/free-fat-porn.html ]
![ tennessee bbw EvUmP | http://vah.zenno.info/google/vidacha/new/tennessee-bbw.html ]
![ ladyboy apple LQarF | http://pidari.zenno.info/perviy/nah/apple-ladyboy.html ]
![ gay books free online TvLPE | http://pidari.zenno.info/perviy/nah/online-gay-books-free.html ]
![ free story gay sex FfKjc | http://pidari.zenno.info/perviy/nah/free-gay-sex-story.html ]
![ cowboys rimming sucking fucking gay portugese tSYoH | http://vah.zenno.info/google/vidacha/new/gay-portugese-sucking-rimming-cowboys-fucking.html ]
![ asian babes movies QUkNF | http://pidari.zenno.info/perviy/nah/asian-babes-movies.html ]
![ video asian nude free wgNRl | http://pidari.zenno.info/perviy/nah/free-asian-nude-video.html ]
![ sucking huge slut fat dick nasty vUePl | http://vah.zenno.info/google/vidacha/new/dick-fat-huge-nasty-slut-sucking.html ]
![ blonde cum facials uZOsL | http://vah.zenno.info/google/vidacha/new/blonde-cum-facials.html ]
![ brittany busty fHhZG | http://vah.zenno.info/google/vidacha/new/busty-brittany.html ]
![ symbol chinese tattoos mjkwW | http://pidari.zenno.info/perviy/nah/chinese-symbol-tattoos.html ]
![ woman chinese zsvmS | http://pidari.zenno.info/perviy/nah/chinese-woman.html ]
![ anal rape KArbV | http://vah.zenno.info/google/vidacha/new/rape-anal.html ]
![ asian casted women txzkA | http://vah.zenno.info/google/vidacha/new/asian-casted-women.html ]
![ xxx directory asian porno lMIeT | http://vah.zenno.info/google/vidacha/new/asian-xxx-porno-directory.html ]
![ mpegs videos creampies cumshots internal ovPXQ | http://vah.zenno.info/google/vidacha/new/creampies-internal-cumshots-mpegs-videos.html ]
![ asian and and free shemale movie QHavj | http://pidari.zenno.info/perviy/nah/asian-shemale-and-movie-and-free.html ]
![ gay lesbian and travel hbVwe | http://vah.zenno.info/google/vidacha/new/gay-and-lesbian-travel.html ]
![ cumshots avi zEHyJ | http://pidari.zenno.info/perviy/nah/cumshots-avi.html ]
![ ladyboys free asian jfPuD | http://vah.zenno.info/google/vidacha/new/asian-ladyboys-free.html ]
![ anal mpeg sqrIu | http://vah.zenno.info/google/vidacha/new/anal-mpeg.html ]
![ pussy free teen daily asian tgp tit YrBUI | http://vah.zenno.info/google/vidacha/new/free-teen-asian-daily-tgp-pussy-tit.html ]
![ sex japanese adult nude women PODNb | http://pidari.zenno.info/perviy/nah/adult-women-nude-sex-japanese.html ]
![ anal blondes feZDp | http://vah.zenno.info/google/vidacha/new/anal-blondes.html ]
![ nude mature asian free older pictures women wycXo | http://pidari.zenno.info/perviy/nah/free-pictures-nude-older-mature-asian-women.html ]
![ she zaa male kaa vXdlC | http://pidari.zenno.info/perviy/nah/kaa-zaa-she-male.html ]
![ boobs huge pics kAMhi | http://pidari.zenno.info/perviy/nah/huge-boobs-pics.html ]
![ videos tranny ejMrU | http://pidari.zenno.info/perviy/nah/tranny-videos.html ]
![ transexuals sex movies iqTJY | http://vah.zenno.info/google/vidacha/new/transexuals-sex-movies.html ]
![ fucking anal galleries XpwnV | http://vah.zenno.info/google/vidacha/new/anal-fucking-galleries.html ]
![ anal thumb cKCDx | http://vah.zenno.info/google/vidacha/new/anal-thumb.html ]
![ tgp shemales WlCpA | http://pidari.zenno.info/perviy/nah/tgp-shemales.html ]
![ dallas gay clubs xeIsz | http://pidari.zenno.info/perviy/nah/gay-clubs-dallas.html ]
![ shemales teenage LdvJa | http://pidari.zenno.info/perviy/nah/teenage-shemales.html ]
![ tits free pictures big huge breasts nipples YZftD | http://pidari.zenno.info/perviy/nah/free-pictures-tits-breasts-huge-big-nipples.html ]
![ homosexual black iRTfS | http://pidari.zenno.info/perviy/nah/black-homosexual.html ]
![ transvestite makeup SunsJ | http://pidari.zenno.info/perviy/nah/transvestite-makeup.html ]
![ free babes nude asian PicqT | http://pidari.zenno.info/perviy/nah/free-nude-asian-babes.html ]
![ bbw babe movie story pic QOHPJ | http://pidari.zenno.info/perviy/nah/babe-bbw-movie-pic-story.html ]
![ amboy jersey new gay association perth youth Lpofi | http://vah.zenno.info/google/vidacha/new/perth-amboy-gay-youth-association-new-jersey.html ]
![ free huge tit cum shots NEXnI | http://pidari.zenno.info/perviy/nah/huge-tit-cum-shots-free.html ]
![ big free mature tits lQFpa | http://vah.zenno.info/google/vidacha/new/free-mature-big-tits.html ]
![ gay teen boy pic post qtgaE | http://pidari.zenno.info/perviy/nah/gay-boy-teen-pic-post.html ]
![ thumbs teen porn asian Ibcws | http://pidari.zenno.info/perviy/nah/teen-thumbs-porn-asian.html ]
hToKLdwmPCGriaH
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionProblems#msg20050820075403-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:11:09 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T7s-0004LC-Qk
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:11:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T6l-00047A-FP
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:59 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T6h-00043e-JI
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:56 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6g-0003VM-QW
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:54 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Srh-00061T-Rz
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:54:26 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCsCwl015908;
Sat, 20 Aug 2005 07:54:12 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075411-0500@page.axiom-developer.org>
In-reply-to: <42CCA0BF.94290217@cunyvm.cuny.edu>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:54:12 -0500
Cc:
Subject: [Axiom-developer] [MathAction problems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:11:04 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionProblems/diff
--
![ ass strap on fucking Hztie | http://vah.zenno.info/google/vidacha/new/strap-on-ass-fucking.html ]
![ natural tits transexual escorts with AGlzd | http://pidari.zenno.info/perviy/nah/transexual-escorts-with-natural-tits.html ]
![ males she Lovsf | http://vah.zenno.info/google/vidacha/new/she-males.html ]
![ ass mexican LPrsW | http://vah.zenno.info/google/vidacha/new/mexican-ass.html ]
![ xxx free downloads asian glDpW | http://pidari.zenno.info/perviy/nah/free-asian-xxx-downloads.html ]
![ free nude pictures asian women older yLmVr | http://vah.zenno.info/google/vidacha/new/free-pictures-nude-older-asian-women.html ]
![ jpg busty babes AypZC | http://vah.zenno.info/google/vidacha/new/busty-babes--jpg.html ]
![ is what rimming slNnJ | http://vah.zenno.info/google/vidacha/new/what-is-rimming.html ]
![ african ass wild IFnvl | http://vah.zenno.info/google/vidacha/new/african-wild-ass.html ]
![ gay clubs bc mvlHy | http://pidari.zenno.info/perviy/nah/gay-clubs-bc.html ]
![ free gay pics asain guys pUWqQ | http://vah.zenno.info/google/vidacha/new/free-gay-asain-guys-pics.html ]
![ berkeley gay ca hotels in UlpEm | http://pidari.zenno.info/perviy/nah/gay-hotels-in-berkeley-ca.html ]
![ girls of little asian naked pictures Wdnyq | http://pidari.zenno.info/perviy/nah/naked-pictures-of-little-asian-girls.html ]
![ alt bbw binary usenet YkrcT | http://pidari.zenno.info/perviy/nah/alt-binary-bbw-usenet.html ]
![ softcore gay pics frYIQ | http://pidari.zenno.info/perviy/nah/softcore-gay-pics.html ]
![ preeteen gay boys EGcpe | http://vah.zenno.info/google/vidacha/new/preeteen-gay-boys.html ]
![ big in bras breasts zyRim | http://pidari.zenno.info/perviy/nah/big-breasts-in-bras.html ]
![ vietnamese asian women ragRT | http://pidari.zenno.info/perviy/nah/asian-vietnamese-women.html ]
![ extreme videos asian sex wzVbT | http://pidari.zenno.info/perviy/nah/extreme-asian-sex-videos.html ]
![ hooters hot ZHvCT | http://vah.zenno.info/google/vidacha/new/hot-hooters.html ]
![ fucking tit videos NGrJM | http://vah.zenno.info/google/vidacha/new/tit-fucking-videos.html ]
![ a what transexual is iLgrw | http://pidari.zenno.info/perviy/nah/what-is-a-transexual.html ]
![ gay fucking men ass GKjJp | http://vah.zenno.info/google/vidacha/new/gay-men-ass-fucking.html ]
![ gays boys pictures free zvJCY | http://pidari.zenno.info/perviy/nah/pictures-boys-gays-free.html ]
![ asian pictures free of transexuals udAti | http://pidari.zenno.info/perviy/nah/free-pictures-of-asian-transexuals.html ]
![ of asian dance photos ballerinas jSRuz | http://vah.zenno.info/google/vidacha/new/dance-photos-of-asian-ballerinas.html ]
![ bbw video black bcDxM | http://vah.zenno.info/google/vidacha/new/bbw-black-video.html ]
![ titties hot RDHlk | http://pidari.zenno.info/perviy/nah/hot-titties.html ]
![ free tits ass big and oUlZr | http://vah.zenno.info/google/vidacha/new/free-big-tits-and-ass.html ]
![ free videos shemale mpgs DcvkF | http://pidari.zenno.info/perviy/nah/free-shemale-videos-mpgs.html ]
![ bbw rose NZxIr | http://pidari.zenno.info/perviy/nah/rose-bbw.html ]
![ shemale canadian escorts kByTY | http://vah.zenno.info/google/vidacha/new/canadian-shemale-escorts.html ]
![ juggs milk orUPk | http://vah.zenno.info/google/vidacha/new/milk-juggs.html ]
![ big titty teens gyhWM | http://vah.zenno.info/google/vidacha/new/big-titty-teens.html ]
![ boobs women muscular big kUvuI | http://pidari.zenno.info/perviy/nah/muscular-women-big-boobs.html ]
![ anal teen archive lSNLO | http://vah.zenno.info/google/vidacha/new/teen-anal-archive.html ]
![ new ebony bbw jersey escort hzgwa | http://vah.zenno.info/google/vidacha/new/ebony-bbw-escort-new-jersey.html ]
![ porn mpegs movies asians sex ZVRbn | http://vah.zenno.info/google/vidacha/new/mpegs-movies-asians-sex-porn.html ]
![ sex trade asian zgpvc | http://vah.zenno.info/google/vidacha/new/asian-sex-trade.html ]
![ gay youth magazines AbiOP | http://vah.zenno.info/google/vidacha/new/gay-youth-magazines.html ]
![ house movie shemale PpzRQ | http://vah.zenno.info/google/vidacha/new/house-movie-shemale.html ]
![ exotic tranny WZhlM | http://vah.zenno.info/google/vidacha/new/exotic-tranny.html ]
![ asian free clips hardcore EyrBc | http://vah.zenno.info/google/vidacha/new/free-hardcore-asian-clips.html ]
![ ladyboy mepgs LyiAs | http://pidari.zenno.info/perviy/nah/ladyboy-mepgs.html ]
![ issues transgendered hr concerning employes ABRUL | http://vah.zenno.info/google/vidacha/new/hr-issues-concerning-transgendered-employes.html ]
![ hermaphrodite drawings WcRAI | http://pidari.zenno.info/perviy/nah/hermaphrodite-drawings.html ]
![ transsexual story EehQy | http://vah.zenno.info/google/vidacha/new/transsexual-story.html ]
![ busty 2 babes PmqoN | http://vah.zenno.info/google/vidacha/new/busty-babes-2.html ]
![ list tranny TqIhp | http://vah.zenno.info/google/vidacha/new/tranny-list.html ]
![ free cumshots vainal IPBnU | http://vah.zenno.info/google/vidacha/new/free-vainal-cumshots.html ]
![ asian list free porn MoAYh | http://pidari.zenno.info/perviy/nah/free-asian-porn-list.html ]
![ asshole bryson ZSkgL | http://vah.zenno.info/google/vidacha/new/bryson-asshole.html ]
epDKvkMBbmIjdtX
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionProblems#msg20050820075411-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:11:11 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T7u-0004M5-M9
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:11:10 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T7s-0004L7-2a
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:11:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T7q-0004KU-OJ
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:11:07 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6l-0003VM-U0
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:10:03 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Squ-0005zd-0q
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:53:36 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCrMwl015749;
Sat, 20 Aug 2005 07:53:22 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075320-0500@page.axiom-developer.org>
In-reply-to: <20050705153913-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:53:22 -0500
Cc:
Subject: [Axiom-developer] [MathAction problems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:11:09 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionProblems/diff
--
![ swinger bbw cJMQC | http://pidari.zenno.info/perviy/nah/bbw-swinger.html ]
![ gay teen free personals UOAtL | http://pidari.zenno.info/perviy/nah/free-gay-teen-personals.html ]
![ gay buy mpeg fBnqQ | http://pidari.zenno.info/perviy/nah/buy-gay-mpeg.html ]
![ homosexuality latent qunOk | http://vah.zenno.info/google/vidacha/new/latent-homosexuality.html ]
![ babes free busty lMarN | http://vah.zenno.info/google/vidacha/new/busty-babes-free.html ]
![ free gay teen ZxByg | http://pidari.zenno.info/perviy/nah/free-teen-gay.html ]
![ nude natural tits teen non QfKEy | http://vah.zenno.info/google/vidacha/new/teen-non-nude-natural-tits.html ]
![ and asses tits ujbKl | http://vah.zenno.info/google/vidacha/new/tits-and-asses.html ]
![ gay attendants search airline engines AQaUj | http://pidari.zenno.info/perviy/nah/gay-search-engines-airline-attendants.html ]
![ fat pic woman having sex cLXek | http://pidari.zenno.info/perviy/nah/fat-having-pic-sex-woman.html ]
![ free hardcore sex anal NKfUJ | http://pidari.zenno.info/perviy/nah/free-anal-sex-hardcore.html ]
![ facial pics cumshots HRyak | http://pidari.zenno.info/perviy/nah/facial-cumshots-pics.html ]
![ movies and porn asian free kalLB | http://pidari.zenno.info/perviy/nah/free-asian-porn-and-movies.html ]
![ pics naked sex asian nvTcD | http://vah.zenno.info/google/vidacha/new/naked-asian-sex-pics.html ]
![ cum shots monster cock hwSFk | http://pidari.zenno.info/perviy/nah/monster-cock-cum-shots.html ]
![ photos eel asian swamp YejLF | http://pidari.zenno.info/perviy/nah/asian-swamp-eel-photos.html ]
![ very young shemales ZYJxn | http://pidari.zenno.info/perviy/nah/very-young-shemales.html ]
![ mexico gay travel Mhodr | http://pidari.zenno.info/perviy/nah/gay-mexico-travel.html ]
![ transvestite free fiction KWANq | http://vah.zenno.info/google/vidacha/new/free-transvestite-fiction.html ]
![ huge cumshots PWVGu | http://pidari.zenno.info/perviy/nah/huge-cumshots.html ]
![ videos gay sex free young Hrbhf | http://pidari.zenno.info/perviy/nah/free-young-gay-sex-videos.html ]
![ high teens gay school QorHY | http://vah.zenno.info/google/vidacha/new/gay-high-school-teens.html ]
![ free sites shemale web passwords to FQYiH | http://vah.zenno.info/google/vidacha/new/free-passwords-to-shemale-web-sites.html ]
![ school japanese girls pussy qNOHp | http://vah.zenno.info/google/vidacha/new/japanese-school-girls-pussy.html ]
![ mpeg free cumshot dwQGY | http://vah.zenno.info/google/vidacha/new/cumshot-mpeg-free.html ]
![ gay teen links vqEzG | http://pidari.zenno.info/perviy/nah/teen-gay-links.html ]
![ anal big sex dick FxWPA | http://pidari.zenno.info/perviy/nah/big-dick-anal-sex.html ]
![ big shemale cock pics BLEof | http://vah.zenno.info/google/vidacha/new/big-cock-shemale-pics.html ]
![ gay porno viYsC | http://pidari.zenno.info/perviy/nah/gay-porno.html ]
![ membership pictures no anal free quMGr | http://pidari.zenno.info/perviy/nah/free-anal-pictures-no-membership.html ]
![ gay paris hotels nAYth | http://pidari.zenno.info/perviy/nah/paris-gay-hotels.html ]
![ fuck anal hardcore teens cgKjR | http://pidari.zenno.info/perviy/nah/anal-fuck-hardcore-teens.html ]
![ brittany busty ILrFx | http://vah.zenno.info/google/vidacha/new/busty-brittany.html ]
![ free gay videos teen hot vxsQT | http://vah.zenno.info/google/vidacha/new/free-hot-gay-teen-videos.html ]
![ asshole licking movies XnBqN | http://vah.zenno.info/google/vidacha/new/asshole-licking-movies.html ]
![ ancient sex chinese eIEVl | http://vah.zenno.info/google/vidacha/new/ancient-chinese-sex.html ]
![ boobs asian tyXGE | http://vah.zenno.info/google/vidacha/new/asian-boobs.html ]
![ boobs bikini WgstJ | http://vah.zenno.info/google/vidacha/new/bikini-boobs.html ]
![ a blowjob JIzWb | http://pidari.zenno.info/perviy/nah/a-blowjob.html ]
![ and chinese sex CHJqb | http://vah.zenno.info/google/vidacha/new/sex-and-chinese.html ]
![ personal german transexual websites asrnR | http://pidari.zenno.info/perviy/nah/german-transexual-personal-websites.html ]
![ sites passwords gay ARKjU | http://pidari.zenno.info/perviy/nah/gay-sites-passwords.html ]
![ free gooey the enjoy pics cumshot uBiTa | http://pidari.zenno.info/perviy/nah/gooey-cumshot-pics-enjoy-the-free.html ]
![ fucking 100 sex free ass anal zyjDv | http://pidari.zenno.info/perviy/nah/ass-fucking-anal-sex-100-free.html ]
![ big shirts in tight breasts DMgJo | http://pidari.zenno.info/perviy/nah/big-breasts-in-tight-shirts.html ]
![ japanese cuisine wngVP | http://vah.zenno.info/google/vidacha/new/japanese-cuisine.html ]
![ stud gallery gay RmiGx | http://pidari.zenno.info/perviy/nah/gay-stud-gallery.html ]
![ francisco ca gay travel san aZukL | http://pidari.zenno.info/perviy/nah/gay-travel-san-francisco-ca-.html ]
![ breasts big british Pivze | http://pidari.zenno.info/perviy/nah/big-british-breasts.html ]
![ gay black ZtTPC | http://pidari.zenno.info/perviy/nah/gay-black.html ]
![ boobs super MuUKt | http://pidari.zenno.info/perviy/nah/super-boobs.html ]
![ free gay videos rape FZRmK | http://vah.zenno.info/google/vidacha/new/free-gay-rape-videos.html ]
yCBNqjhMupbdkcE
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionProblems#msg20050820075320-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:11:37 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T8K-0004T9-QC
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:11:37 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T8I-0004SV-2d
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:11:34 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T8G-0004SA-UX
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:11:33 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T7X-0003VM-HF
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:10:48 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SiG-0005aB-Ap
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:44:40 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCiQwl013181;
Sat, 20 Aug 2005 07:44:26 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820074424-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:44:26 -0500
Cc:
Subject: [Axiom-developer] [MathActionRSSedit]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:11:34 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--
![ shots black free cum movies krZzH | http://pidari.zenno.info/perviy/nah/free-black-cum-shots-movies.html ]
![ fuck anal suck jwHbS | http://vah.zenno.info/google/vidacha/new/anal-fuck-suck.html ]
![ gay and teens twinks find site wHGUX | http://pidari.zenno.info/perviy/nah/find-gay-site-teens-and-twinks.html ]
![ free movie bbw galleries wVOoe | http://pidari.zenno.info/perviy/nah/free-bbw-movie-galleries.html ]
![ pornstars big titty OYksB | http://vah.zenno.info/google/vidacha/new/big-titty-pornstars.html ]
![ girls picks asian xvuiM | http://pidari.zenno.info/perviy/nah/asian-girls-picks.html ]
![ online links gay yPHIN | http://pidari.zenno.info/perviy/nah/online-gay-links.html ]
![ free asian bondage porn izFJV | http://pidari.zenno.info/perviy/nah/asian-bondage-porn-free.html ]
![ fat with chicks dicks JfkPB | http://pidari.zenno.info/perviy/nah/fat-chicks-with-dicks.html ]
![ japanese art jiwXh | http://vah.zenno.info/google/vidacha/new/japanese-art.html ]
![ teen ass fat jwoPZ | http://pidari.zenno.info/perviy/nah/fat-ass-teen.html ]
![ asian and pussy boobs RiHkZ | http://vah.zenno.info/google/vidacha/new/asian-pussy-and-boobs.html ]
![ woman shemale pics fucks ejUFH | http://vah.zenno.info/google/vidacha/new/shemale-fucks-woman-pics.html ]
![ transgender pics cSsCo | http://vah.zenno.info/google/vidacha/new/transgender-pics.html ]
![ post movies gay fAnGb | http://pidari.zenno.info/perviy/nah/gay-movies-post.html ]
![ ani wishin and hopin difranco mp3 eNArk | http://pidari.zenno.info/perviy/nah/wishin-and-hopin-mp3-ani-difranco.html ]
![ gamma penetration radiation complete UJtcS | http://pidari.zenno.info/perviy/nah/gamma-radiation-complete-penetration.html ]
![ gay clubs philadelphia nAKEG | http://vah.zenno.info/google/vidacha/new/gay-clubs-philadelphia.html ]
![ gay mens private clubs indianpolis VfsjU | http://vah.zenno.info/google/vidacha/new/private-gay-mens-clubs-indianpolis.html ]
![ big how breasts are andersons pam UoHnK | http://vah.zenno.info/google/vidacha/new/how-big-are-pam-andersons-breasts.html ]
![ pictures food thai iYdXI | http://pidari.zenno.info/perviy/nah/thai-food-pictures.html ]
![ shemale free porn pics sPoUf | http://pidari.zenno.info/perviy/nah/free-shemale-porn-pics.html ]
![ sex asian travel guide lVeCS | http://vah.zenno.info/google/vidacha/new/asian-sex-travel-guide.html ]
![ workplace homosexuality nsqUw | http://pidari.zenno.info/perviy/nah/homosexuality-workplace.html ]
![ boobs big with playmates FIRXr | http://vah.zenno.info/google/vidacha/new/playmates-with-big-boobs.html ]
![ naked asian male Maldp | http://pidari.zenno.info/perviy/nah/asian-male-naked.html ]
![ big hardcore boobs xkqdE | http://vah.zenno.info/google/vidacha/new/big-boobs-hardcore.html ]
![ chubby gay men free personals BFzJS | http://vah.zenno.info/google/vidacha/new/free-chubby-gay-men-personals.html ]
![ babes of pictures asian UzguL | http://vah.zenno.info/google/vidacha/new/pictures-of-asian-babes.html ]
![ chubby gay porn mCEfO | http://vah.zenno.info/google/vidacha/new/chubby-gay-porn.html ]
![ shemale fucks guy jMTVi | http://vah.zenno.info/google/vidacha/new/shemale-fucks-guy.html ]
![ bouncing boobs big huge nyRov | http://vah.zenno.info/google/vidacha/new/big-huge-bouncing-boobs.html ]
![ gay dick studs lADgu | http://vah.zenno.info/google/vidacha/new/gay-studs-dick.html ]
![ sex for pics bondage japanese free mtsCL | http://pidari.zenno.info/perviy/nah/japanese-sex-bondage-pics-for-free.html ]
![ tits silicon huge NMknI | http://pidari.zenno.info/perviy/nah/huge-silicon-tits.html ]
![ gay free videos fisting sXWxm | http://pidari.zenno.info/perviy/nah/free-gay-fisting-videos.html ]
![ gay clubs cum collecting epvFx | http://pidari.zenno.info/perviy/nah/gay-cum-collecting-clubs.html ]
![ women men fisting wOpYc | http://pidari.zenno.info/perviy/nah/women-fisting-men.html ]
![ gay asian pics free sex ULdEX | http://pidari.zenno.info/perviy/nah/free-gay-asian-sex-pics.html ]
![ free shots pics of cum shemale JTkie | http://vah.zenno.info/google/vidacha/new/free-pics-of-shemale-cum-shots.html ]
![ fisting hard ryveK | http://pidari.zenno.info/perviy/nah/hard-fisting.html ]
![ gay interracial sex VlbJY | http://pidari.zenno.info/perviy/nah/gay-interracial-sex.html ]
![ sex bbw toy mivrW | http://pidari.zenno.info/perviy/nah/bbw-sex-toy.html ]
![ boobs galleries free JFAaj | http://vah.zenno.info/google/vidacha/new/free-boobs-galleries.html ]
![ asian shemales KclXe | http://vah.zenno.info/google/vidacha/new/asian-shemales.html ]
![ no chick fat dxkfy | http://pidari.zenno.info/perviy/nah/no-fat-chick.html ]
![ woman having sex naked fat ThHIO | http://pidari.zenno.info/perviy/nah/naked-fat-woman-having-sex.html ]
![ videos exam gay physical MsKIJ | http://vah.zenno.info/google/vidacha/new/gay-physical-exam-videos.html ]
![ cumshot and webring blowjob amateur FeHEC | http://vah.zenno.info/google/vidacha/new/amateur-blowjob-and-cumshot-webring.html ]
![ thai cooking recipies LqiCP | http://vah.zenno.info/google/vidacha/new/thai-cooking-recipies.html ]
![ big voluptuous pics fat shemale BVgSq | http://pidari.zenno.info/perviy/nah/big-fat-voluptuous-shemale-pics.html ]
![ black transsexuals free buttfucked BMXws | http://vah.zenno.info/google/vidacha/new/free-buttfucked-black-transsexuals.html ]
UNfJvyRbilLDkGc
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit#msg20050820074424-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:12:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T6j-000469-Kg
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:09:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T6g-00041v-1j
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:54 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T6c-0003yV-Je
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6b-0003VM-QP
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:49 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SsX-00063d-Rm
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:55:18 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCt4wl016092;
Sat, 20 Aug 2005 07:55:04 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075503-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:55:04 -0500
Cc:
Subject: [Axiom-developer] [MathActionRSSedit]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:09:57 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--
![ cumshots blowjobs OyFAW | http://vah.zenno.info/google/vidacha/new/cumshots-blowjobs.html ]
![ she male free brazillian HBJoT | http://vah.zenno.info/google/vidacha/new/free-brazillian-she-male.html ]
![ nude breasts pictures big wHKVM | http://vah.zenno.info/google/vidacha/new/nude-pictures-big-breasts.html ]
![ bbw black banged mhYaX | http://pidari.zenno.info/perviy/nah/banged-bbw-black.html ]
![ shemale thumbs asian FwvGn | http://vah.zenno.info/google/vidacha/new/asian-shemale-thumbs.html ]
![ dating free esqBy | http://vah.zenno.info/google/vidacha/new/free-dating.html ]
![ pregnancy and stress homosexuality YvrQs | http://vah.zenno.info/google/vidacha/new/pregnancy-stress-and-homosexuality.html ]
![ free shemale lesbian porn password EQIyc | http://pidari.zenno.info/perviy/nah/password-free-porn-lesbian-shemale.html ]
![ stone cumshot tawnee ALgOi | http://vah.zenno.info/google/vidacha/new/tawnee-stone-cumshot.html ]
![ asian japanese restrained bondage rope AiUEr | http://vah.zenno.info/google/vidacha/new/asian-rope-restrained-japanese-bondage.html ]
![ black shots cum facial GcfNi | http://pidari.zenno.info/perviy/nah/black-facial-cum-shots.html ]
![ shemale porn galleries star aodyW | http://pidari.zenno.info/perviy/nah/shemale-porn-star-galleries.html ]
![ capetown gay clubs Jpnux | http://vah.zenno.info/google/vidacha/new/gay-capetown-clubs.html ]
![ bbw orgy lesbian OcvqW | http://pidari.zenno.info/perviy/nah/bbw-lesbian-orgy.html ]
![ shots cum asian XouxV | http://vah.zenno.info/google/vidacha/new/asian-cum-shots.html ]
![ asian growing women tails Znbch | http://vah.zenno.info/google/vidacha/new/asian-women-growing-tails.html ]
![ bbw mature rpYCs | http://pidari.zenno.info/perviy/nah/mature-bbw.html ]
![ asian gangbang girls pTuFq | http://vah.zenno.info/google/vidacha/new/gangbang-asian-girls.html ]
![ xxx titty asian movies ShKos | http://pidari.zenno.info/perviy/nah/xxx-asian-titty-movies.html ]
![ transgendered in pantyhose dressed aPVAg | http://pidari.zenno.info/perviy/nah/transgendered-dressed-in-pantyhose.html ]
![ free cumshot streaming video LYbom | http://pidari.zenno.info/perviy/nah/free-cumshot-streaming-video.html ]
![ she male connie JmoNG | http://vah.zenno.info/google/vidacha/new/connie-she-male.html ]
![ night tab ani difranco school xjmqH | http://vah.zenno.info/google/vidacha/new/ani-difranco-school-night-tab.html ]
![ titty boppers agmLX | http://vah.zenno.info/google/vidacha/new/titty-boppers.html ]
![ stories anal vjCiu | http://vah.zenno.info/google/vidacha/new/stories-anal.html ]
![ extreme penetration jeTIm | http://vah.zenno.info/google/vidacha/new/extreme-penetration.html ]
![ nude transsexual IhAVT | http://vah.zenno.info/google/vidacha/new/transsexual-nude.html ]
![ english dictionary japanese TMnuQ | http://vah.zenno.info/google/vidacha/new/english-japanese-dictionary.html ]
![ boobies girl FjTzN | http://pidari.zenno.info/perviy/nah/girl-boobies.html ]
![ homosexuals nazi UtEdH | http://vah.zenno.info/google/vidacha/new/nazi-homosexuals.html ]
![ women anal fucking men fEvAU | http://pidari.zenno.info/perviy/nah/women-fucking-men-anal.html ]
![ breast dvd big TGyOm | http://pidari.zenno.info/perviy/nah/big-breast-dvd.html ]
![ free thumbnails puffy tits teen DdPyu | http://pidari.zenno.info/perviy/nah/free-thumbnails-puffy-teen-tits.html ]
![ boards bulletin asian sex tCWQn | http://pidari.zenno.info/perviy/nah/asian-sex-bulletin-boards.html ]
![ beautiful ass teen kTVYo | http://vah.zenno.info/google/vidacha/new/beautiful-teen-ass.html ]
![ kayla vaginal cumshots AInMT | http://vah.zenno.info/google/vidacha/new/vaginal-cumshots-kayla.html ]
![ hunter tranny costa rica tiGyw | http://vah.zenno.info/google/vidacha/new/tranny-hunter-costa-rica.html ]
![ transsexual pic teen rbYAG | http://pidari.zenno.info/perviy/nah/pic-teen-transsexual.html ]
![ free shemale erotica nation ZGclI | http://pidari.zenno.info/perviy/nah/erotica-shemale-nation-free.html ]
![ harcore tranny porn free NKmda | http://vah.zenno.info/google/vidacha/new/free-harcore-tranny-porn.html ]
![ transgendered post op rbyqQ | http://vah.zenno.info/google/vidacha/new/post-op-transgendered.html ]
![ cumshot movies videos FQOUT | http://pidari.zenno.info/perviy/nah/cumshot-videos-movies.html ]
![ porn free anal pics teen xKWEG | http://pidari.zenno.info/perviy/nah/free-pics-porn-teen-anal.html ]
![ asian bondage rix pix explorer ODWnM | http://pidari.zenno.info/perviy/nah/asian-explorer-rix-pix-bondage.html ]
![ male she tulsa oklahoma escorts sEqZU | http://vah.zenno.info/google/vidacha/new/she-male-escorts-tulsa-oklahoma.html ]
![ huge free jpg breasts orQph | http://pidari.zenno.info/perviy/nah/free-huge-breasts-jpg.html ]
![ marriage gay stories JsOTS | http://vah.zenno.info/google/vidacha/new/gay-marriage-stories.html ]
![ anal fucking sex anal rsZAb | http://pidari.zenno.info/perviy/nah/anal-anal-fucking-sex.html ]
![ history gay of rights FnJBz | http://pidari.zenno.info/perviy/nah/history-of-gay-rights.html ]
![ tree family homo AXFRc | http://pidari.zenno.info/perviy/nah/homo-family-tree.html ]
![ transsexual fashion model YPhNx | http://pidari.zenno.info/perviy/nah/fashion-model-transsexual.html ]
![ movies she male VSCzx | http://vah.zenno.info/google/vidacha/new/she-male-movies.html ]
ImVLXKsWNACryaJ
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit#msg20050820075503-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:12:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T9C-0004nJ-6b
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:12:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T98-0004lj-Tk
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:12:27 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T95-0004kZ-Uf
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:12:24 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6j-0003VM-IC
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:57 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SrB-00060J-TS
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:53:54 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCrewl015792;
Sat, 20 Aug 2005 07:53:40 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075339-0500@page.axiom-developer.org>
In-reply-to: <20050705214115-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:53:40 -0500
Cc:
Subject: [Axiom-developer] [MathAction problems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:12:28 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionProblems/diff
--
![ bbw grannies DKlUd | http://pidari.zenno.info/perviy/nah/bbw-grannies.html ]
![ sex sites chinese zMWgf | http://vah.zenno.info/google/vidacha/new/chinese-sex-sites.html ]
![ mature busty women WXjrx | http://vah.zenno.info/google/vidacha/new/busty-mature-women.html ]
![ sex chinese calendars KMjkO | http://vah.zenno.info/google/vidacha/new/chinese-sex-calendars.html ]
![ shemale asia zcRGA | http://vah.zenno.info/google/vidacha/new/asia-shemale.html ]
![ pictures teens gay hung nomPU | http://pidari.zenno.info/perviy/nah/hung-gay-teens-pictures.html ]
![ teen anal redhead QWvME | http://vah.zenno.info/google/vidacha/new/redhead-anal-teen.html ]
![ teens butt gay rimming DtlYB | http://pidari.zenno.info/perviy/nah/gay-teens-butt-rimming.html ]
![ hot porn gay free VMxZq | http://vah.zenno.info/google/vidacha/new/free-hot-gay-porn.html ]
![ post transgendered and marriage women op jeOqr | http://vah.zenno.info/google/vidacha/new/post-op-transgendered-women-and-marriage.html ]
![ shemale escorts baltimore mhCBT | http://vah.zenno.info/google/vidacha/new/baltimore-shemale-escorts.html ]
![ liking gay ass Ovrot | http://vah.zenno.info/google/vidacha/new/gay-ass-liking.html ]
![ asshole tgp HYqXt | http://pidari.zenno.info/perviy/nah/tgp-asshole.html ]
![ tits ass free and HvIgp | http://pidari.zenno.info/perviy/nah/free-tits-and-ass.html ]
![ free tits young giOGZ | http://vah.zenno.info/google/vidacha/new/free-young-tits.html ]
![ screens japanese nQksx | http://vah.zenno.info/google/vidacha/new/japanese-screens.html ]
![ tranny convincing bzJmc | http://vah.zenno.info/google/vidacha/new/convincing-tranny.html ]
![ fantasy free stories forced sex GEsvr | http://vah.zenno.info/google/vidacha/new/free-forced-fantasy-sex-stories.html ]
![ amateur cumshot mpeg zCQoq | http://pidari.zenno.info/perviy/nah/amateur-cumshot-mpeg.html ]
![ gay advice sex QzOYw | http://pidari.zenno.info/perviy/nah/gay-sex-advice.html ]
![ nude 1 asian pictures models XbIjF | http://pidari.zenno.info/perviy/nah/1-asian-models-nude-pictures.html ]
![ her sex anal first TbABI | http://vah.zenno.info/google/vidacha/new/her-first-anal-sex.html ]
![ story chinese sex Lagtr | http://pidari.zenno.info/perviy/nah/sex-chinese-story.html ]
![ shots sloppy cum redhead EzXyU | http://pidari.zenno.info/perviy/nah/sloppy-redhead-cum-shots.html ]
![ stories forced lesbian sex ToQvb | http://pidari.zenno.info/perviy/nah/lesbian-forced-sex-stories.html ]
![ big tits free hentai unpzG | http://pidari.zenno.info/perviy/nah/free-big-tits-hentai.html ]
![ asian lee petite porn or miko VwmQz | http://vah.zenno.info/google/vidacha/new/miko-lee-asian-or-petite-porn.html ]
![ internal cumshots vaginal fGnxz | http://pidari.zenno.info/perviy/nah/internal-vaginal-cumshots.html ]
![ calender predict sex baby of chinese qPGlR | http://vah.zenno.info/google/vidacha/new/predict-sex-of-baby-chinese-calender.html ]
![ little ladyboys rpnqH | http://vah.zenno.info/google/vidacha/new/little-ladyboys.html ]
![ sex gay galleries anal maLeT | http://pidari.zenno.info/perviy/nah/gay-anal-sex-galleries.html ]
![ locker gay rZkBY | http://pidari.zenno.info/perviy/nah/gay-locker.html ]
![ facial cumshot gallery blowjob jQkuN | http://pidari.zenno.info/perviy/nah/blowjob-facial-cumshot-gallery.html ]
![ cocks gay JOuwj | http://vah.zenno.info/google/vidacha/new/gay-cocks.html ]
![ tranny trailer lDtgT | http://pidari.zenno.info/perviy/nah/trailer-tranny.html ]
![ cumshot facial mpegs movies teen mnVKk | http://vah.zenno.info/google/vidacha/new/teen-facial-cumshot-mpegs-movies.html ]
![ twister titty huMEf | http://vah.zenno.info/google/vidacha/new/titty-twister.html ]
![ of gay clubs phoenix aMrJE | http://vah.zenno.info/google/vidacha/new/gay-clubs-of-phoenix.html ]
![ naked jobs and asian free blow blonde pictures zbfiP | http://vah.zenno.info/google/vidacha/new/free-asian-and-blonde-blow-jobs-naked-pictures.html ]
![ babes busty 2 ytzOg | http://pidari.zenno.info/perviy/nah/busty-babes-2.html ]
![ lynch hermaphrodite stephen YHGLP | http://vah.zenno.info/google/vidacha/new/stephen-lynch-hermaphrodite.html ]
![ picture pregnant woman fat moqJd | http://vah.zenno.info/google/vidacha/new/fat-picture-pregnant-woman.html ]
![ dicks with hentai chicks hUYiV | http://pidari.zenno.info/perviy/nah/chicks-with-dicks-hentai.html ]
![ girls on breasts with huge webcams ZPMrF | http://pidari.zenno.info/perviy/nah/girls-with-huge-breasts-on-webcams.html ]
![ link asian bbs hardcore suZoR | http://pidari.zenno.info/perviy/nah/asian-hardcore-bbs-link.html ]
![ shemale free cumshots zmrhq | http://vah.zenno.info/google/vidacha/new/shemale-cumshots-free.html ]
![ to mouth years old asshole her her gRxkh | http://pidari.zenno.info/perviy/nah/her-asshole-to-her-mouth-years-old.html ]
![ cumshots facials and IGsWp | http://vah.zenno.info/google/vidacha/new/cumshots-and-facials.html ]
![ instructions rimming qYElv | http://pidari.zenno.info/perviy/nah/rimming-instructions.html ]
![ transexual hormone therapy LABla | http://vah.zenno.info/google/vidacha/new/hormone-therapy-transexual.html ]
![ with lesbian tits free pics big BNJvL | http://pidari.zenno.info/perviy/nah/free-lesbian-pics-with-big-tits.html ]
![ pagent transvestite in iLdJr | http://vah.zenno.info/google/vidacha/new/transvestite-in-pagent.html ]
jCgPQTIDUZbochL
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionProblems#msg20050820075339-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:12:41 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T9M-0004rA-Ee
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:12:40 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T9H-0004pI-RN
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:12:36 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T9H-0004ox-0k
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:12:35 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T7I-0003VM-F4
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:10:32 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sl6-0005io-M8
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:47:36 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KClNwl014236;
Sat, 20 Aug 2005 07:47:23 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820074721-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:47:23 -0500
Cc:
Subject: [Axiom-developer] [MathActionRSSedit]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:12:36 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--
![ pics bondage japanese upkWw | http://pidari.zenno.info/perviy/nah/japanese-bondage-pics.html ]
![ pictures extreme free sex anal of XENup | http://pidari.zenno.info/perviy/nah/free-pictures-of-extreme-anal-sex.html ]
![ australian personals free gay EQeVH | http://pidari.zenno.info/perviy/nah/free-australian-gay-personals.html ]
![ sex phone shemale kxlaL | http://vah.zenno.info/google/vidacha/new/phone-sex-shemale.html ]
![ clips asian JbzKC | http://pidari.zenno.info/perviy/nah/asian-clips.html ]
![ free videos porno downloadable gay AxalD | http://vah.zenno.info/google/vidacha/new/free-downloadable-gay-porno-videos.html ]
![ international yum uUiIH | http://pidari.zenno.info/perviy/nah/yum-international.html ]
![ search gay engine porn DQqeG | http://pidari.zenno.info/perviy/nah/gay-porn-search-engine.html ]
![ image woman fat NzfcR | http://pidari.zenno.info/perviy/nah/fat-image-woman.html ]
![ men men gay looking gay all older find for personals young xWnCS | http://pidari.zenno.info/perviy/nah/find-all-gay-older-men-looking-for-gay-young-men-personals.html ]
![ ramming ass aVAqv | http://pidari.zenno.info/perviy/nah/ass-ramming.html ]
![ fat fuck mature JpRqk | http://pidari.zenno.info/perviy/nah/fat-fuck-mature.html ]
![ free fat tits WOcCw | http://pidari.zenno.info/perviy/nah/free-fat-tits.html ]
![ cum clubs gay collecting qLrGs | http://pidari.zenno.info/perviy/nah/gay-cum-collecting-clubs.html ]
![ ass fucking mp3 free NtEgA | http://pidari.zenno.info/perviy/nah/free-fucking-ass-mp3.html ]
![ gay cum pics WZnGy | http://vah.zenno.info/google/vidacha/new/gay-cum-pics.html ]
![ triple penetrations VRket | http://pidari.zenno.info/perviy/nah/triple-penetrations.html ]
![ free bears gay movies zUDOZ | http://pidari.zenno.info/perviy/nah/free-gay-bears-movies.html ]
![ bondage japanese collection rope photos fSOia | http://vah.zenno.info/google/vidacha/new/rope-bondage-japanese-photos-collection.html ]
![ male anal gay sex gSkcO | http://pidari.zenno.info/perviy/nah/gay-male-anal-sex.html ]
![ schoolgirls japanese nude acVes | http://vah.zenno.info/google/vidacha/new/japanese-nude-schoolgirls.html ]
![ cjayc cumshot bestiality with hardcore mStAf | http://vah.zenno.info/google/vidacha/new/hardcore-cumshot-bestiality-with-cjayc.html ]
![ model asian posts thumbs nude vzLae | http://pidari.zenno.info/perviy/nah/asian-nude-model-thumbs-posts.html ]
![ black ass big tits tpTSm | http://vah.zenno.info/google/vidacha/new/big-black-tits-ass.html ]
![ big free titties WeNmK | http://pidari.zenno.info/perviy/nah/free-big-titties.html ]
![ african date free american gay fpgnE | http://vah.zenno.info/google/vidacha/new/free-gay-date-african-american.html ]
![ extreme assholes VZCrR | http://pidari.zenno.info/perviy/nah/extreme-assholes.html ]
![ tranny oriental iQcwO | http://vah.zenno.info/google/vidacha/new/oriental-tranny.html ]
![ boys galleries gay Ohsxq | http://vah.zenno.info/google/vidacha/new/gay-boys-galleries.html ]
![ teen ass lick dRvCh | http://pidari.zenno.info/perviy/nah/ass-lick-teen.html ]
![ hairy gay QpTkV | http://vah.zenno.info/google/vidacha/new/hairy-gay.html ]
![ gay european xxx porn eastern whunf | http://pidari.zenno.info/perviy/nah/eastern-european-gay-porn-xxx.html ]
![ girls japanese stories school faCzE | http://pidari.zenno.info/perviy/nah/japanese-school-girls-stories.html ]
![ japanese free school girls YpPTZ | http://pidari.zenno.info/perviy/nah/japanese-school-girls-free.html ]
![ tgirl treasures uVtlO | http://pidari.zenno.info/perviy/nah/tgirl-treasures.html ]
![ busty hot babes blonde texga | http://vah.zenno.info/google/vidacha/new/hot-busty-blonde-babes.html ]
![ porn links gay zcwhE | http://pidari.zenno.info/perviy/nah/gay-porn-links.html ]
![ big pictures tits EHScg | http://pidari.zenno.info/perviy/nah/big-tits-pictures.html ]
![ free fucking videos ass LsgBI | http://vah.zenno.info/google/vidacha/new/free-ass-fucking-videos.html ]
![ thai silver pzHtq | http://vah.zenno.info/google/vidacha/new/thai-silver.html ]
![ of dermatologic diseases anus GJIzV | http://vah.zenno.info/google/vidacha/new/dermatologic-diseases-of-anus.html ]
![ gay free hunks bsUkh | http://vah.zenno.info/google/vidacha/new/free-gay-hunks.html ]
![ cuba escorts shemale SjKca | http://vah.zenno.info/google/vidacha/new/shemale-escorts-cuba.html ]
![ massive mellons vSEkL | http://vah.zenno.info/google/vidacha/new/massive-mellons.html ]
![ tgp gay ldPbA | http://pidari.zenno.info/perviy/nah/gay-tgp.html ]
![ thumbnail big free pictures tits KvWUM | http://pidari.zenno.info/perviy/nah/free-thumbnail-pictures-big-tits.html ]
![ teen shemale vids GgfRo | http://pidari.zenno.info/perviy/nah/teen-shemale-vids.html ]
![ crossdresser transvestite NRAnE | http://vah.zenno.info/google/vidacha/new/crossdresser-transvestite.html ]
![ bbw facials KZPnc | http://vah.zenno.info/google/vidacha/new/bbw-facials.html ]
![ rimming girls GzojK | http://vah.zenno.info/google/vidacha/new/rimming-girls.html ]
![ and pictures tits free big HQKfk | http://vah.zenno.info/google/vidacha/new/free-pictures-and-big-tits.html ]
![ dvd she male strokers bGRqc | http://vah.zenno.info/google/vidacha/new/she-male-strokers-dvd.html ]
mWGvIKlEqnoUNZy
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit#msg20050820074721-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:12:41 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6T9N-0004sI-0i
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:12:41 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T9I-0004pg-Dm
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:12:36 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T6j-00045n-4C
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:58 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6i-0003VM-FA
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:56 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6SrJ-00060h-5c
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:54:01 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCrlwl015816;
Sat, 20 Aug 2005 07:53:47 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075346-0500@page.axiom-developer.org>
In-reply-to: <42CB4941.3D0FA9C@cunyvm.cuny.edu>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:53:47 -0500
Cc:
Subject: [Axiom-developer] [MathAction problems]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:12:37 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionProblems/diff
--
![ gangbang cumshots free QlkfF | http://pidari.zenno.info/perviy/nah/free-gangbang-cumshots.html ]
![ free cumshots wife yVbwB | http://pidari.zenno.info/perviy/nah/free-wife-cumshots.html ]
![ fat girl only humor picture PyrQR | http://pidari.zenno.info/perviy/nah/fat-girl-humor-only-picture.html ]
![ asian absolutely free nude women DdvgL | http://vah.zenno.info/google/vidacha/new/asian-women-nude-absolutely-free.html ]
![ cum shot movie clips porn dkDLb | http://vah.zenno.info/google/vidacha/new/porn-cum-shot-movie-clips.html ]
![ assholes stupid OVLJP | http://pidari.zenno.info/perviy/nah/stupid-assholes.html ]
![ kickboxing thai vKhPW | http://pidari.zenno.info/perviy/nah/thai-kickboxing.html ]
![ picture pussy fat IlUxA | http://pidari.zenno.info/perviy/nah/fat-pussy-picture.html ]
![ gay porn free trailers zgXkN | http://vah.zenno.info/google/vidacha/new/free-gay-porn-trailers.html ]
![ chub videos gay yPltM | http://vah.zenno.info/google/vidacha/new/gay-chub-videos.html ]
![ cumshots pussy urxos | http://pidari.zenno.info/perviy/nah/pussy-cumshots.html ]
![ the guy in girl ass fucking KIqmf | http://vah.zenno.info/google/vidacha/new/girl-fucking-guy-in-the-ass.html ]
![ homo ludens AhZux | http://pidari.zenno.info/perviy/nah/homo-ludens.html ]
![ muscle stories gay ZnjQB | http://pidari.zenno.info/perviy/nah/gay-muscle-stories.html ]
![ anal cunt MzjcJ | http://vah.zenno.info/google/vidacha/new/anal-cunt.html ]
![ forum models asian zefIA | http://vah.zenno.info/google/vidacha/new/asian-models-forum.html ]
![ with chicks dicks huge rCAxZ | http://pidari.zenno.info/perviy/nah/huge-chicks-with-dicks.html ]
![ fuck anal stories XKgHM | http://pidari.zenno.info/perviy/nah/anal-fuck-stories.html ]
![ boobs pic free natural big KTkaS | http://vah.zenno.info/google/vidacha/new/big-boobs-free-natural-pic.html ]
![ getting ass the in girls fucked ubaWq | http://vah.zenno.info/google/vidacha/new/girls-getting-fucked-in-the-ass.html ]
![ thai gay DqjIT | http://pidari.zenno.info/perviy/nah/thai-gay.html ]
![ girls lolidus japanese boys and fDzJV | http://vah.zenno.info/google/vidacha/new/lolidus-boys-and-girls-japanese.html ]
![ big hardcore tit mUsQh | http://pidari.zenno.info/perviy/nah/big-tit-hardcore.html ]
![ hermaphrodite fetish hZdNm | http://pidari.zenno.info/perviy/nah/hermaphrodite-fetish.html ]
![ in hose pantie shemale pGWnO | http://pidari.zenno.info/perviy/nah/shemale-in-pantie-hose.html ]
![ men pics free gay bead anal oMtcf | http://pidari.zenno.info/perviy/nah/anal-bead-free-pics-men-gay.html ]
![ thumbnails natural fat tits goldU | http://vah.zenno.info/google/vidacha/new/fat-natural-tits-thumbnails.html ]
![ photo free gallery shemale Tchiw | http://pidari.zenno.info/perviy/nah/free-shemale-photo-gallery.html ]
![ galleries teen cumshot gay PBbwn | http://vah.zenno.info/google/vidacha/new/gay-teen-cumshot-galleries.html ]
![ open assholes Amefw | http://pidari.zenno.info/perviy/nah/open-assholes.html ]
![ asian bondage listings irSnZ | http://vah.zenno.info/google/vidacha/new/asian-bondage-listings.html ]
![ transsexual pictures anal FIdba | http://pidari.zenno.info/perviy/nah/transsexual-anal-pictures.html ]
![ intiracial pictures free harcore sex anal sFrMK | http://vah.zenno.info/google/vidacha/new/intiracial-harcore-free-anal-sex-pictures.html ]
![ bookmark links gay FZYih | http://pidari.zenno.info/perviy/nah/gay-bookmark-links.html ]
![ chubby website free boobs natural big BLbzA | http://pidari.zenno.info/perviy/nah/free-big-natural-boobs-chubby-website.html ]
![ simpson big marge boobs jqufo | http://pidari.zenno.info/perviy/nah/marge-simpson-big-boobs.html ]
![ twinks naked young PsaRB | http://vah.zenno.info/google/vidacha/new/young-naked-twinks.html ]
![ anal hardcore fuck teen fJeES | http://pidari.zenno.info/perviy/nah/hardcore-teen-anal-fuck.html ]
![ dicks tits huge massive xxx and lwrxS | http://vah.zenno.info/google/vidacha/new/xxx-massive-huge-dicks-and-tits.html ]
![ breasts huge natural iPzMl | http://vah.zenno.info/google/vidacha/new/breasts-natural-huge.html ]
![ escorts shemale asian Ifzrl | http://pidari.zenno.info/perviy/nah/asian-shemale-escorts.html ]
![ porn men gay fMdnV | http://vah.zenno.info/google/vidacha/new/porn-gay-men.html ]
![ transexuals big of tits photos with free blonde dHvqw | http://pidari.zenno.info/perviy/nah/free-photos-of-blonde-transexuals-with-big-tits.html ]
![ south travel gay australia AzcYx | http://vah.zenno.info/google/vidacha/new/gay-travel-south-australia.html ]
![ interracial gay SZfnR | http://vah.zenno.info/google/vidacha/new/gay-interracial.html ]
![ chinese secrets sex UtbYc | http://vah.zenno.info/google/vidacha/new/chinese-sex-secrets.html ]
![ pictures boat ancient asian PXUin | http://pidari.zenno.info/perviy/nah/ancient-asian-boat-pictures.html ]
![ did homo what habilis technology made bicIS | http://vah.zenno.info/google/vidacha/new/what-technology-did-homo-habilis-made.html ]
![ granny fat nBkUd | http://pidari.zenno.info/perviy/nah/fat-granny.html ]
![ shemale xxx hSHEU | http://vah.zenno.info/google/vidacha/new/xxx-shemale.html ]
![ homosexuality china policy papers in anZGI | http://pidari.zenno.info/perviy/nah/homosexuality-in-china-policy-papers.html ]
![ gay free pictures porn AYDMI | http://pidari.zenno.info/perviy/nah/free-gay-porn-pictures.html ]
kdRpasfVImqHyoJ
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionProblems#msg20050820075346-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:13:32 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6TAC-0005BT-7D
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:13:32 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6T9u-00053j-1Y
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:13:16 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T9q-000531-IV
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:13:12 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T7V-0003VM-9W
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:10:45 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Six-0005bU-0F
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:45:23 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCj8wl013296;
Sat, 20 Aug 2005 07:45:09 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820074507-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:45:08 -0500
Cc:
Subject: [Axiom-developer] [ExternalEdit]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:13:18 -0000
Changes http://page.axiom-developer.org/zope/mathaction/ExternalEdit/diff
--
![ breast with big women BWGKn | http://pidari.zenno.info/perviy/nah/women-with-big-breast.html ]
![ bbw pic free fat srUTK | http://pidari.zenno.info/perviy/nah/bbw-fat-free-pic.html ]
![ free samples free and gay videos erotic movie cJFdn | http://pidari.zenno.info/perviy/nah/free-gay-erotic-videos-and-free-movie-samples.html ]
![ pics anal free teen acZAf | http://pidari.zenno.info/perviy/nah/free-teen-anal-pics.html ]
![ map sapiens homo sapiens bPjHN | http://pidari.zenno.info/perviy/nah/homo-sapiens-sapiens-map.html ]
![ gay male free videos and galleries AqSfB | http://pidari.zenno.info/perviy/nah/free-gay-male-galleries-and-videos.html ]
![ facials shot free gay cum black veYpQ | http://pidari.zenno.info/perviy/nah/free-gay-black-cum-shot-facials.html ]
![ gay pics hardcore XgaEx | http://pidari.zenno.info/perviy/nah/hardcore-gay-pics.html ]
![ up pick japanese girls to how CiQBv | http://vah.zenno.info/google/vidacha/new/how-to-pick-up-japanese-girls.html ]
![ gay rootsweb kentucky clark history family info IBTlJ | http://pidari.zenno.info/perviy/nah/clark-gay-family-history-kentucky-info-rootsweb.html ]
![ anus forum bbs lXENA | http://pidari.zenno.info/perviy/nah/anus-bbs-forum.html ]
![ she male porn btrKV | http://vah.zenno.info/google/vidacha/new/she-male-porn.html ]
![ password video porn lesbian shemale free NlXFK | http://vah.zenno.info/google/vidacha/new/password-free-porn-lesbian-shemale-video.html ]
![ asian free nude male DRUlB | http://vah.zenno.info/google/vidacha/new/nude-asian-male-free.html ]
![ women busty clothed HjJYB | http://pidari.zenno.info/perviy/nah/clothed-busty-women.html ]
![ thumb bbw bDNSz | http://vah.zenno.info/google/vidacha/new/bbw-thumb.html ]
![ reviews video transvestite jKigC | http://pidari.zenno.info/perviy/nah/transvestite-video-reviews.html ]
![ trial boobs big free TvMnV | http://vah.zenno.info/google/vidacha/new/free-trial-big-boobs.html ]
![ titty on hard nUGkw | http://pidari.zenno.info/perviy/nah/titty-hard-on.html ]
![ mature sex anal son pictures mother hgOBR | http://vah.zenno.info/google/vidacha/new/mature-mother-son-anal-sex-pictures.html ]
![ new TclLI | http://vah.zenno.info/google/vidacha/new/ ]
![ pics breasts free big fFVKC | http://vah.zenno.info/google/vidacha/new/free-big-breasts-pics.html ]
![ forum asian sex jWRnp | http://pidari.zenno.info/perviy/nah/asian-sex-forum.html ]
![ brown busty WkrsJ | http://vah.zenno.info/google/vidacha/new/busty-brown.html ]
![ huge natural breasts amateur NaMGI | http://pidari.zenno.info/perviy/nah/huge-natural-amateur-breasts.html ]
![ big boobs HRDmd | http://pidari.zenno.info/perviy/nah/big-boobs.html ]
![ model free asian pics aICtY | http://vah.zenno.info/google/vidacha/new/free-asian-model-pics.html ]
![ symbols gay AHwpq | http://pidari.zenno.info/perviy/nah/gay-symbols.html ]
![ video asian petite bfKDx | http://pidari.zenno.info/perviy/nah/petite-asian-video.html ]
![ sex pics gay free men fptQn | http://vah.zenno.info/google/vidacha/new/free-gay-men-sex-pics.html ]
![ ethnic bbw big fat ebony black black WrCyk | http://pidari.zenno.info/perviy/nah/bbw-big-black-black-ebony-ethnic-fat.html ]
![ teens masturbating gay EuxGd | http://pidari.zenno.info/perviy/nah/gay-teens-masturbating.html ]
![ free xxx transexual RFQao | http://vah.zenno.info/google/vidacha/new/free-transexual-xxx.html ]
![ japanese girls breast zvqXp | http://vah.zenno.info/google/vidacha/new/japanese-breast-girls.html ]
![ texas bbw VnjYQ | http://pidari.zenno.info/perviy/nah/bbw-texas.html ]
![ twinks free nude noizX | http://pidari.zenno.info/perviy/nah/free-nude-twinks.html ]
![ lawrence shemale star lisa porn ZNcyF | http://pidari.zenno.info/perviy/nah/shemale-porn-star-lisa-lawrence.html ]
![ anal sex deep YGomD | http://vah.zenno.info/google/vidacha/new/deep-anal-sex.html ]
![ cumshot ebony NfFas | http://pidari.zenno.info/perviy/nah/ebony-cumshot.html ]
![ black dicks with chicks white fFTxg | http://vah.zenno.info/google/vidacha/new/black-chicks-with-white-dicks.html ]
![ hermaphrodites sequential human IPHvt | http://vah.zenno.info/google/vidacha/new/human-sequential-hermaphrodites.html ]
![ fucking gay free videos YBawf | http://pidari.zenno.info/perviy/nah/free-gay-fucking-videos.html ]
![ shemale and video free clips trans QSTdj | http://vah.zenno.info/google/vidacha/new/free-trans-and-shemale-video-clips.html ]
![ assholes gaping jTeRr | http://pidari.zenno.info/perviy/nah/gaping-assholes.html ]
![ thai gallery pic post op ladyboy wXbFo | http://vah.zenno.info/google/vidacha/new/ladyboy-post-op-gallery-thai-pic.html ]
![ galleries free ladyboy YFQBP | http://vah.zenno.info/google/vidacha/new/free-ladyboy-galleries.html ]
![ male to female penetration stDxT | http://pidari.zenno.info/perviy/nah/female-to-male-penetration.html ]
![ free shemale clips dirty UgMio | http://vah.zenno.info/google/vidacha/new/free-dirty-shemale-clips.html ]
![ asian photos naked women free inSVB | http://vah.zenno.info/google/vidacha/new/free-asian-naked-women-photos.html ]
![ christianus homo naturaliter BsZFl | http://pidari.zenno.info/perviy/nah/homo-naturaliter-christianus.html ]
![ gay fiction NfXDR | http://vah.zenno.info/google/vidacha/new/gay-fiction.html ]
![ sex personals bbw QvwZp | http://pidari.zenno.info/perviy/nah/bbw-sex-personals.html ]
eIyPRTZmCUfFHor
--
forwarded from http://page.axiom-developer.org/zope/mathaction/ExternalEdit#msg20050820074507-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:14:17 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6TAu-0005RB-Ko
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:14:17 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6TAs-0005Qa-9T
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:14:14 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6T6i-00043a-NT
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T6g-0003VM-8v
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:09:54 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sru-00061z-Ql
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:54:39 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCsNwl015923;
Sat, 20 Aug 2005 07:54:23 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820075423-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:54:23 -0500
Cc:
Subject: [Axiom-developer] [MathActionRSSedit]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:14:15 -0000
Changes http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit/diff
--
![ trample bbw wRtOP | http://vah.zenno.info/google/vidacha/new/bbw-trample.html ]
![ heather asian kjHmP | http://vah.zenno.info/google/vidacha/new/asian-heather.html ]
![ japanese soaking tubs braJy | http://vah.zenno.info/google/vidacha/new/japanese-soaking-tubs.html ]
![ gay boys free nude pOIbJ | http://pidari.zenno.info/perviy/nah/free-gay-nude-boys.html ]
![ cumshots hardcore 3466 mqvFJ | http://vah.zenno.info/google/vidacha/new/hardcore-cumshots-3466.html ]
![ college homosexuality in vgIRi | http://pidari.zenno.info/perviy/nah/homosexuality-in-college.html ]
![ penetrations ltfxw | http://pidari.zenno.info/perviy/nah/penetrations.html ]
![ fucking asshole druDy | http://vah.zenno.info/google/vidacha/new/asshole-fucking.html ]
![ cumshot gallery blowjob ArEnP | http://vah.zenno.info/google/vidacha/new/cumshot-gallery-blowjob.html ]
![ free anal fucking bondage thumbs hIdTX | http://vah.zenno.info/google/vidacha/new/free-anal-thumbs-bondage-fucking.html ]
![ transgendered boys sReXH | http://vah.zenno.info/google/vidacha/new/transgendered-boys.html ]
![ tranny bride sex LRZOc | http://vah.zenno.info/google/vidacha/new/tranny-bride-sex.html ]
![ homosexual articles marriages cIZbt | http://vah.zenno.info/google/vidacha/new/homosexual-marriages-articles.html ]
![ stories sex gay SdTmG | http://pidari.zenno.info/perviy/nah/stories-gay-sex.html ]
![ japanese bukakke sex games adult oMrSF | http://vah.zenno.info/google/vidacha/new/adult-japanese-sex-games-bukakke.html ]
![ bbw plus personals QPyBd | http://vah.zenno.info/google/vidacha/new/bbw-personals-plus.html ]
![ tokyo shemale free gallerys WSNQU | http://pidari.zenno.info/perviy/nah/free-tokyo-shemale-gallerys.html ]
![ chick fat hot ZrPBk | http://vah.zenno.info/google/vidacha/new/hot-fat-chick.html ]
![ quizzes transexual free lOuNK | http://pidari.zenno.info/perviy/nah/free-transexual-quizzes.html ]
![ tits cumshot GrNJP | http://pidari.zenno.info/perviy/nah/cumshot-tits.html ]
![ transgendered maids Tahnr | http://vah.zenno.info/google/vidacha/new/transgendered-maids.html ]
![ shemale sex tranny RpyQA | http://pidari.zenno.info/perviy/nah/sex-shemale-tranny.html ]
![ transexuals xxx free ZEQFN | http://vah.zenno.info/google/vidacha/new/transexuals-xxx-free.html ]
![ fat granny old pIMuB | http://vah.zenno.info/google/vidacha/new/fat-old-granny.html ]
![ insertion tampon anus lRoda | http://pidari.zenno.info/perviy/nah/tampon-insertion-anus.html ]
![ market penetration MjhcP | http://pidari.zenno.info/perviy/nah/market-penetration.html ]
![ shemale clips video free hKDIt | http://pidari.zenno.info/perviy/nah/free-shemale-clips-video.html ]
![ faq sex penetration double IbhDX | http://vah.zenno.info/google/vidacha/new/double-penetration-sex-faq.html ]
![ ass cum fFaEy | http://vah.zenno.info/google/vidacha/new/ass-cum.html ]
![ asian sex videos oeVwX | http://pidari.zenno.info/perviy/nah/asian-sex-videos.html ]
![ crapping and rimming gay zEdas | http://pidari.zenno.info/perviy/nah/gay-crapping-and-rimming.html ]
![ too boobs big LQtAO | http://pidari.zenno.info/perviy/nah/boobs-too-big.html ]
![ education homosexualities GbzPB | http://vah.zenno.info/google/vidacha/new/homosexualities-education.html ]
![ dicks asians chicks with XksrT | http://vah.zenno.info/google/vidacha/new/asians-chicks-with-dicks.html ]
![ gay male stories erotic RFbIk | http://vah.zenno.info/google/vidacha/new/erotic-gay-male-stories.html ]
![ thumbnail gay gallery MFEur | http://vah.zenno.info/google/vidacha/new/gay-thumbnail-gallery.html ]
![ japanese tits OPwme | http://pidari.zenno.info/perviy/nah/japanese-tits.html ]
![ gay rape gang of galleries SZfGB | http://pidari.zenno.info/perviy/nah/galleries-of-gay-gang-rape.html ]
![ free tranny video QpJTA | http://vah.zenno.info/google/vidacha/new/free-tranny-video.html ]
![ transsexual picture of postop ngVXC | http://vah.zenno.info/google/vidacha/new/picture-of-postop-transsexual.html ]
![ free shemale anime hentai download tEpzO | http://vah.zenno.info/google/vidacha/new/hentai-shemale-anime-free-download.html ]
![ ladyboys phuket ATpnq | http://pidari.zenno.info/perviy/nah/phuket-ladyboys.html ]
![ fucking instructions ass and care IPiht | http://vah.zenno.info/google/vidacha/new/ass-fucking-instructions-and-care.html ]
![ asshole stretchers rZACc | http://pidari.zenno.info/perviy/nah/asshole-stretchers.html ]
![ gay search all engines OInWB | http://vah.zenno.info/google/vidacha/new/all-gay-search-engines.html ]
![ in babes leather busty tight or latex VbBSL | http://vah.zenno.info/google/vidacha/new/busty-babes-in-tight-latex-or-leather.html ]
![ boys hot gay OPpai | http://pidari.zenno.info/perviy/nah/hot-gay-boys.html ]
![ women blowjobs cumshots free facials black movies of uSXDF | http://pidari.zenno.info/perviy/nah/free-movies-of-black-women-blowjobs-cumshots-facials.html ]
![ cat fiesta anal insertion ujwyU | http://pidari.zenno.info/perviy/nah/anal-fiesta-cat-insertion.html ]
![ movies rape gay in BPvFQ | http://pidari.zenno.info/perviy/nah/gay-rape-in-movies.html ]
![ picture galleries shemale uceKN | http://pidari.zenno.info/perviy/nah/shemale-picture-galleries.html ]
![ free girl fat movie rQkxU | http://vah.zenno.info/google/vidacha/new/free-fat-girl-movie.html ]
KWOfeAyMvsHhzYl
--
forwarded from http://page.axiom-developer.org/zope/mathaction/MathActionRSSedit#msg20050820075423-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 09:14:39 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6TBG-0005hu-98
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 09:14:38 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6TB7-0005e6-RT
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:14:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6TB4-0005bv-Ej
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:14:27 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6T7t-0003VM-Ma
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 09:11:09 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Sgt-0005VN-Gc
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 08:43:15 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KCh2wl013035;
Sat, 20 Aug 2005 07:43:02 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050820074301-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 07:43:02 -0500
Cc:
Subject: [Axiom-developer] [Algebra]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 13:14:31 -0000
Changes http://page.axiom-developer.org/zope/mathaction/Algebra/diff
--
![ movies animal cumshot sZdNK | http://vah.zenno.info/google/vidacha/new/animal-cumshot-movies.html ]
![ pictures having girls of sex japanese HniQt | http://pidari.zenno.info/perviy/nah/pictures-of-japanese-girls-having-sex.html ]
![ chubby trannies aTcpz | http://pidari.zenno.info/perviy/nah/chubby-trannies.html ]
![ cumshots deepthroat free DrByE | http://pidari.zenno.info/perviy/nah/free-deepthroat-cumshots.html ]
![ transexuelle escort UfMDG | http://pidari.zenno.info/perviy/nah/escort-transexuelle.html ]
![ porn black star fat TNAPK | http://vah.zenno.info/google/vidacha/new/fat-black-porn-star.html ]
![ fucking ass BMhuQ | http://pidari.zenno.info/perviy/nah/fucking-ass.html ]
![ free tits lactating XgNJY | http://pidari.zenno.info/perviy/nah/lactating-tits-free.html ]
![ milking breasts UWDxT | http://vah.zenno.info/google/vidacha/new/milking-breasts.html ]
![ shots hardcore cum luVdD | http://vah.zenno.info/google/vidacha/new/hardcore-cum-shots.html ]
![ titties bitty itty saggy zvQtd | http://vah.zenno.info/google/vidacha/new/itty-bitty-saggy-titties.html ]
![ of free picsa shemales qtRZK | http://vah.zenno.info/google/vidacha/new/free-picsa-of-shemales.html ]
![ sex pictures asian free GvwZj | http://pidari.zenno.info/perviy/nah/free-asian-sex-pictures.html ]
![ models nude asian 1 qnrFW | http://vah.zenno.info/google/vidacha/new/1-asian-nude-models.html ]
![ pictures breasts alt binaries erotica mjndi | http://pidari.zenno.info/perviy/nah/alt-binaries-pictures-erotica-breasts.html ]
![ shemale archive CirBy | http://pidari.zenno.info/perviy/nah/shemale-archive.html ]
![ supply of anus nerve DApSs | http://pidari.zenno.info/perviy/nah/nerve-supply-of-anus.html ]
![ with philadelphia chicks dicks IrNUk | http://vah.zenno.info/google/vidacha/new/chicks-with-dicks-philadelphia.html ]
![ model free asian wallpapers jkHfg | http://pidari.zenno.info/perviy/nah/free-asian-model-wallpapers.html ]
![ pics asian of free porn adnvG | http://vah.zenno.info/google/vidacha/new/free-pics-of-asian-porn.html ]
![ movies gay porn smut free cRAKY | http://vah.zenno.info/google/vidacha/new/free-gay-porn-smut-movies.html ]
![ clubs gay indiana health mens XdqgE | http://pidari.zenno.info/perviy/nah/indiana-gay-mens-health-clubs.html ]
![ lolita licking asshole VYtrT | http://vah.zenno.info/google/vidacha/new/lolita-licking-asshole.html ]
![ britneys ass NbUmK | http://vah.zenno.info/google/vidacha/new/britneys-ass.html ]
![ models silicone huge big breasts bust tits qhKAX | http://vah.zenno.info/google/vidacha/new/big-huge-tits-bust-models-silicone-breasts.html ]
![ couple amateur gay YmaMO | http://pidari.zenno.info/perviy/nah/amateur-gay-couple.html ]
![ sex pictures anal female CrLty | http://pidari.zenno.info/perviy/nah/female-anal-sex-pictures.html ]
![ free nude tits big galleries qoLvw | http://vah.zenno.info/google/vidacha/new/free-nude-big-tits-galleries.html ]
![ asian oic free gal porn PuLnX | http://pidari.zenno.info/perviy/nah/free-asian-porn-oic-gal.html ]
![ anal girl virgin jzUNI | http://pidari.zenno.info/perviy/nah/anal-virgin-girl.html ]
![ tits greeneyes asians redhair petite large tiny breasts waif BjzoV | http://vah.zenno.info/google/vidacha/new/tiny-petite-waif-asians-redhair-greeneyes-large-tits-breasts.html ]
![ big black tits with older women fRGZu | http://vah.zenno.info/google/vidacha/new/older-black-women-with-big-tits.html ]
![ natural tits uhFEl | http://pidari.zenno.info/perviy/nah/natural-tits.html ]
![ sex porn asian ErXGv | http://pidari.zenno.info/perviy/nah/asian-porn-sex.html ]
![ penetration double free zVdls | http://pidari.zenno.info/perviy/nah/double-penetration-free.html ]
![ skirts transvestites in ILgxz | http://vah.zenno.info/google/vidacha/new/transvestites-in-skirts.html ]
![ chinese sex gay FHnOg | http://vah.zenno.info/google/vidacha/new/chinese-gay-sex.html ]
![ miami escorts shemale gUMDm | http://pidari.zenno.info/perviy/nah/shemale-escorts-miami.html ]
![ ass rimming husband wife cpboC | http://pidari.zenno.info/perviy/nah/husband-ass-rimming-wife.html ]
![ anal ebony sex nzbFR | http://pidari.zenno.info/perviy/nah/ebony-anal-sex.html ]
![ and canice homosexuality connors NEdsP | http://pidari.zenno.info/perviy/nah/canice-connors-and-homosexuality.html ]
![ babatte sex japanese doll oDUza | http://vah.zenno.info/google/vidacha/new/babatte-japanese-sex-doll.html ]
![ busty mom QVUCc | http://pidari.zenno.info/perviy/nah/busty-mom.html ]
![ fuck women shemale jaJUi | http://vah.zenno.info/google/vidacha/new/shemale-fuck-women.html ]
![ am transgendered i LyOcg | http://vah.zenno.info/google/vidacha/new/am-i-transgendered.html ]
![ schoolgirls nude japanese teen free AHtKj | http://pidari.zenno.info/perviy/nah/free-nude-teen-japanese-schoolgirls.html ]
![ jjj s gallery bbw pic nwQvU | http://pidari.zenno.info/perviy/nah/bbw-gallery-jjj-pic-s.html ]
![ sex anal FYfUu | http://pidari.zenno.info/perviy/nah/anal-sex.html ]
![ shemales uk UYtiV | http://vah.zenno.info/google/vidacha/new/uk-shemales.html ]
![ shots dirty cum gang free bangs AaynO | http://vah.zenno.info/google/vidacha/new/free-gang-bangs-dirty-cum-shots.html ]
![ anal virgin story UCBiG | http://pidari.zenno.info/perviy/nah/anal-virgin-story.html ]
![ gay hawaii HpAcW | http://pidari.zenno.info/perviy/nah/gay-hawaii.html ]
lXZDzboNChkJTIR
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Algebra#msg20050820074301-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 10:42:43 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6UYM-0006ym-NQ
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 10:42:34 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6UY7-0006tJ-Mz
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:22 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6UY1-0006qD-Nu
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:15 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6UY1-0006gr-Dd
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:13 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6UKV-0002b3-VQ
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:28:16 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KERwwl005815;
Sat, 20 Aug 2005 09:27:59 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820092758-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 09:27:58 -0500
Cc:
Subject: [Axiom-developer] [#5 )edit command ignores file name]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 14:42:32 -0000
Changes http://page.axiom-developer.org/zope/mathaction/5EditCommandIgnoresFileName/diff
--
Where is the proposed fix?
--
forwarded from http://page.axiom-developer.org/zope/mathaction/5EditCommandIgnoresFileName#msg20050820092758-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 10:44:02 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6UZi-0007Ul-KF
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 10:43:58 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6UY8-0006tE-LW
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:22 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6UY0-0006oV-8k
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:15 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6UXz-0006Zo-4M
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:11 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6UMM-0002fh-IY
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:30:10 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KETswl006042;
Sat, 20 Aug 2005 09:29:54 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820092954-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 09:29:54 -0500
Cc:
Subject: [Axiom-developer] [#41 fresh databases are not copied back for
build]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 14:43:54 -0000
Changes http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild/diff
--
??changed:
-> > With the fixedPoint script, I noticed that the old database
-> > directories, DEPENDENTS.DAASE and USERS.DAASE, under int/algebra,
-> > are not removed in preparation for the second iteration. Am
-> > I mistaken in thinking that this will influence the subsequent
-> > compilation?
->
-> You are correct. The src/algebra/Makefile.pamphlet that I am using
-> on the axiom--windows--1 branch has been updated to properly rebuild
-> the databases if any of the *.NRLIBS/code.o files change. In the
-> linux branches (e.g. axiom--main--1) the database build is still
-> done via a kludge that requires you to delete the file called
-> `dbcomplete' in order to force a rebuild. Alternately you could
-> also delete the int/*.spad files which will force them to be
-> re-extracted from the pamphlet files and also trigger deletion of
-> the dbcomplete file.
With the fixedPoint script, I noticed that the old database
directories, DEPENDENTS.DAASE and USERS.DAASE, under int/algebra,
are not removed in preparation for the second iteration. Am
I mistaken in thinking that this will influence the subsequent
compilation?
You are correct. The src/algebra/Makefile.pamphlet that I am using
on the axiom--windows--1 branch has been updated to properly rebuild
the databases if any of the *.NRLIBS/code.o files change. In the
linux branches (e.g. axiom--main--1) the database build is still
done via a kludge that requires you to delete the file called
`dbcomplete' in order to force a rebuild. Alternately you could
also delete the int/*.spad files which will force them to be
re-extracted from the pamphlet files and also trigger deletion of
the dbcomplete file.
--removed:
-
--
forwarded from http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild#msg20050820092954-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 10:45:12 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Uas-000811-Q5
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 10:45:11 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6Uao-0007ye-TG
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:45:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Uam-0007xd-DW
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:45:05 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Ual-0007uA-F9
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:45:03 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6UWa-0003S3-OI
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:40:44 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KEeSwl008725;
Sat, 20 Aug 2005 09:40:28 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820094027-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 09:40:28 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),x) is not handled ]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 14:45:07 -0000
Changes http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
Note that $sin(x^2)$ is a D-finite function:
\begin{axiom}
f := sin(x^2)
4*x^3*f - D(f,x) + x*D(f,x,2)
\end{axiom}
Thus integration should be "easy"...
--
forwarded from http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050820094027-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 10:45:37 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6UYE-0006v0-9o
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 10:42:26 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6UY0-0006p9-Rk
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:12 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6UXs-0006k3-0Z
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:11 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6UXp-0006gr-Cv
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:42:01 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6UNa-0002ju-48
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 10:31:26 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KEV9wl006383;
Sat, 20 Aug 2005 09:31:09 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820093109-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 09:31:09 -0500
Cc:
Subject: [Axiom-developer] [#41 fresh databases are not copied back for
build]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 14:42:18 -0000
Changes http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild/diff
--
Could you please explain the property change!
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/41FreshDatabasesAreNotCopiedBackForBuild#msg20050820093109-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 12:11:43 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6Vwc-0007Xh-NK
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 12:11:42 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6VwZ-0007WE-U7
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 12:11:40 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6VwX-0007V0-7s
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 12:11:38 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6VwW-0007Te-Od
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 12:11:36 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Vr6-0008GW-Br
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 12:06:00 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KG5fwl029786;
Sat, 20 Aug 2005 11:05:41 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820110533-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 11:05:40 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),x) is not handled ]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 16:11:41 -0000
Changes http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
I browsed the web a little more and came to the conclusion that the Risch algorithm only deals with elementary functions whose integral is elementary, too. "Clearly" (looking at maxima's output or browsing the web), $sin(x^2)$ does not have an elementary antiderivative. Hence, I suspect that it should be treated just as $e^{-x^2}$, by the 'PatternMatchIntegration' package. This would not be too difficult, probably.
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050820110533-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 13:35:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6XFh-00085Q-Ox
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 13:35:29 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6XFb-00081l-D6
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 13:35:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6XFW-0007wo-8J
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 13:35:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6XFV-0007w7-Vi
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 13:35:18 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6XB2-0004pK-Gf
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 13:30:40 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KHUJwl018212;
Sat, 20 Aug 2005 12:30:19 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820123016-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 12:30:19 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),x) is not handled ]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 17:35:26 -0000
Changes http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
Although this does not really solve the original problem, I think I found a bug in 'INTPM'. Currently, there is an operation::
pmComplexintegrate(f, x) ==
(rc := splitConstant(f, x)).const ^= 1 =>
(u := pmintegrate(rc.nconst, x)) case "failed" => "failed"
rec := u::ANS
[rc.const * rec.special, rc.const * rec.integrand]
cse := (rec := matcherfei(f, x, true)).which
cse = ERF => [rec.coeff * erf(rec.exponent), 0]
"failed"
It is pretty obvious that the third line should read::
(u := pmComplexintegrate(rc.nconst, x)) case "failed" => "failed"
instead. If we perform this change, we get instead of
\begin{axiom}
complexIntegrate(-%i/2*e^(%i*x^2),x)
\end{axiom}
the correct answer, same for
\begin{axiom}
complexIntegrate(%i/2*e^(-%i*x^2),x)
\end{axiom}
For some reason, it still won't do
\begin{axiom}
complexIntegrate(sin(x^2),x)
\end{axiom}
Curiously, the pattern matcher is not even invoked in this case... Even if we enter the integral as
\begin{axiom}
complexIntegrate(-%i/2*e^(%i*x^2)+%i/2*e^(-%i*x^2),x)
\end{axiom}
it fails, although in this case the pattern matcher is invoked. It would need to be invoked on each summand seperately, though.
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050820123016-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 14:13:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6XqD-0000Yh-VL
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 14:13:14 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6XqD-0000YQ-0e
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 14:13:13 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6Xl4-000843-S4
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 14:07:56 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6Xl0-0007jU-83
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 14:07:50 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6XbH-00068K-DV
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 13:57:47 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KHvQwl024459;
Sat, 20 Aug 2005 12:57:26 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820125721-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 12:57:26 -0500
Cc:
Subject: [Axiom-developer]
[#199 integrate(exp(-x^2)+exp(x)/x, x)] (nouveau)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 18:13:13 -0000
Changes http://page.axiom-developer.org/zope/mathaction/199IntegrateExpX2ExpXXX/diff
--
For some reason, the following forgets about one summand:
\begin{axiom}
integrate(exp(-x^2)+exp(x)/x,x)
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/199IntegrateExpX2ExpXXX#msg20050820125721-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 16:46:17 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6a7v-0003qV-VU
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 16:39:40 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6a7Q-0003iU-0R
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:39:09 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6a7B-0003ai-0s
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:38:53 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6a79-0003Tq-Lb
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:38:51 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Zmn-0005i8-Vm
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:17:50 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KKHQwl024883;
Sat, 20 Aug 2005 15:17:26 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820151725-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 15:17:26 -0500
Cc:
Subject: [Axiom-developer] [#199 integrate(exp(-x^2)+exp(x)/x,
x)] property change
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 20:39:37 -0000
Changes http://page.axiom-developer.org/zope/mathaction/199IntegrateExpX2ExpXXX/diff
--
Status: open => fix proposed
--
forwarded from http://page.axiom-developer.org/zope/mathaction/199IntegrateExpX2ExpXXX#msg20050820151725-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 16:46:22 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6a7v-0003qU-Iv
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 16:39:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6a7Q-0003in-Gq
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:39:09 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6a7D-0003bA-DD
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:39:00 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6a7A-0003Tq-C9
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:38:52 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6Zlk-0005gE-VF
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:16:45 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KKGKwl024745;
Sat, 20 Aug 2005 15:16:20 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820151616-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 15:16:20 -0500
Cc:
Subject: [Axiom-developer] [#199 integrate(exp(-x^2)+exp(x)/x,x)]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 20:39:37 -0000
Changes http://page.axiom-developer.org/zope/mathaction/199IntegrateExpX2ExpXXX/diff
--
The problem is in 'expintegratepoly$INTTR'. There you find the following definition::
-- returns either
-- (q in GP, a in F) st p = q' + a, and a=0 or a has no integral in F
-- or (q in GP, r in GP) st p = q' + r, and r has no integral elem/UP
expintegratepoly(p, FRDE) ==
coef0:F := 0
notelm := answr := 0$GP
while p ^= 0 repeat
ans1 := FRDE(n := degree p, a := leadingCoefficient p)
answr := answr + monomial(ans1.ans, n)
if ~ans1.sol? then -- Risch d.e. has no complete solution
missing := a - ans1.right
if zero? n then coef0 := missing
else notelm := notelm + monomial(missing, n)
p := reductum p
zero? notelm => [answr, coef0]
[answr, notelm]
In principle, this function takes a polynomial 'p' and tries to integrate every coefficient. If it finds an answer, it adds it to 'answr', otherwise to 'notelm'. Note however, that the constant term of the 'p' will never get added to 'notelm', even if it was not possible to integrate it. So maybe the last line should read::
[answr, notelm+monomial(coef0, 0)]
This seems to "work", i.e., the integrals are then returned unevaluated. However, I'd rather have axiom to use the linearity of the integral...
Note that
\begin{axiom}
integrate(exp(-x^2)+sin(x),x)
\end{axiom}
is an example for an integral where 'coef0' does not vanish but 'notelm' does. So the more drastic change::
if ~ans1.sol? then -- Risch d.e. has no complete solution
missing := a - ans1.right
if zero? n then coef0 := missing
notelm := notelm + monomial(missing, n)
p := reductum p
zero? notelm => [answr, coef0]
[answr, notelm]
is not necessary - but does not produce wrong results either.
By the way, here are some other - strange - manifestation of the same bug:
\begin{axiom}
integrate(exp(-x^2)+1/x,x)
integrate(exp(x)/x+1/x,x)
\end{axiom}
Although $1/x$ is certainly elementary, and so is its integral, the bug manifests itself.
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/199IntegrateExpX2ExpXXX#msg20050820151616-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 20 17:05:35 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6aWu-0001aI-1X
for mharc-axiom-developer@gnu.org; Sat, 20 Aug 2005 17:05:28 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6aWm-0001VB-HU
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 17:05:20 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6aWh-0001Si-DX
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 17:05:16 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6aWh-0001QV-6k
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 17:05:15 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6aP0-0007Go-Gv
for axiom-developer@nongnu.org; Sat, 20 Aug 2005 16:57:18 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7KKurwl001599;
Sat, 20 Aug 2005 15:56:53 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050820155651-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 20 Aug 2005 15:56:53 -0500
Cc:
Subject: [Axiom-developer] [#198 integrate(sin(x**2),x) is not handled ]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 20 Aug 2005 21:05:26 -0000
Changes http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled/diff
--
There is another issue I don't quite understand. Currently axiom returns the whole integral unevaluated if it does not manage to evaluate it completely. If it were not for the bug #199, the following were an example:
\begin{axiom}
integrate(exp(x)/x+exp(-x^2)+1/log(x),x)
\end{axiom}
Although axiom produces the intermediate result 'integrate(exp(x)/x+exp(-x^2),x)+li(x)', it discards it. The responsible line of code is in 'rinteg$FSINT' ::
rinteg(i, f, x, h, comp) ==
not elem? i => integral(f, x)$F
empty? rest(l := [mkPrimh(f, x, h, comp) for f in expand i]) => first l
l
Does this make sense?
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled#msg20050820155651-0500@page.axiom-developer.org
From MAILER-DAEMON Sun Aug 21 05:39:40 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6mIk-0005YZ-HY
for mharc-axiom-developer@gnu.org; Sun, 21 Aug 2005 05:39:38 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6mIf-0005Vm-A1
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 05:39:34 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6mIc-0005US-By
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 05:39:31 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6mIb-0005SQ-NH
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 05:39:29 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E6mCI-0000SA-QL
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 05:32:59 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7L9WSwl029015;
Sun, 21 Aug 2005 04:32:28 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050821043217-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 21 Aug 2005 04:32:28 -0500
Cc:
Subject: [Axiom-developer] [#193 Symbolic values (without variables) are not
ordered properly in 'EXPR INT'] same for 'AlgebraicNumber'
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 21 Aug 2005 09:39:35 -0000
Changes http://page.axiom-developer.org/zope/mathaction/193SymbolicValuesWithoutVariablesAreNotOrderedProperlyInEXPRINT/diff
--
The same problem exists in 'AN'. Although the test for zero in this domain is mathematical, we have
\begin{axiom}
sqrt(2)<sqrt(3/2)
\end{axiom}
Note that the domain 'RealClosure' is designed to handle such things. Also, the test for zero in 'RECLOS' is faster than in 'AN'. So, wouldn't it be appropriate to make 'AN' a wrapper for 'RECLOS FRAC INT'? Of course, the appropriate conversion routines would have to be written, but this would be quite easy.
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/193SymbolicValuesWithoutVariablesAreNotOrderedProperlyInEXPRINT#msg20050821043217-0500@page.axiom-developer.org
From MAILER-DAEMON Sun Aug 21 07:39:32 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E6oAl-0002fM-O5
for mharc-axiom-developer@gnu.org; Sun, 21 Aug 2005 07:39:31 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E6oAh-0002ea-FU
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 07:39:27 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E6oAd-0002d1-Uo
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 07:39:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E6o88-0001o6-OI
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 07:36:49 -0400
Received: from [195.54.107.73] (helo=mxfep02.bredband.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E6niA-00062g-7p
for axiom-developer@nongnu.org; Sun, 21 Aug 2005 07:09:58 -0400
Received: from [192.168.0.2] ([213.114.172.219] [213.114.172.219])
by mxfep02.bredband.com with ESMTP
id <20050821110934.CRAV17509.mxfep02.bredband.com@[192.168.0.2]>;
Sun, 21 Aug 2005 13:09:34 +0200
From: Magnus Larsson <magnus.larsson.k@bredband.net>
To: axiom-developer@nongnu.org
Subject: Re: [Axiom-developer] AxiomUI code
Date: Sun, 21 Aug 2005 13:09:29 +0200
User-Agent: KMail/1.8.90
References: <430362B5.6010802@gmail.com>
In-Reply-To: <430362B5.6010802@gmail.com>
MIME-Version: 1.0
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: 7bit
Content-Disposition: inline
Message-Id: <200508211309.30273.magnus.larsson.k@bredband.net>
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 21 Aug 2005 11:39:28 -0000
On Wednesday 17 August 2005 18.15, Kai Kaminski wrote:
> Hi,
>
> an early version of AxiomUI can be found on kaikaminski.gmxhome.de. The
> only dependency is Clisp. I use 2.34 but earlier version that are not
> too old should be fine. All Lisp libraries that are needed are contained
> in the tarball.
>
> There is also a README with instructions. It should be as easy as
> starting a shell script.
>
> Kai
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
Hello Kai Kaminski,
Your axiomUI works for me. I am using GNU CLISP 2.34 and Axiom 3.9 (September
2005).
However I could not get the KDE Konqueror web browser to execute
http://127.0.0.1:8080/toplevel/ properly. Konqueror did not present a result
when return was pressed after an expression was entered.
Firefox worked fine though.
Best regards,
Magnus Larsson
From MAILER-DAEMON Mon Aug 22 05:04:51 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E789K-0005Ve-NC
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 04:59:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E77zy-0004ni-AA
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 04:49:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E77y7-0004cO-2z
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 04:47:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E77wk-0004QD-Pc
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 04:46:23 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E77tH-0006vp-4z
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 04:42:47 -0400
Received: (qmail invoked by alias); 22 Aug 2005 08:42:11 -0000
Received: from p549F764B.dip.t-dialin.net (EHLO Pupone.local) [84.159.118.75]
by mail.gmx.net (mp019) with SMTP; 22 Aug 2005 10:42:11 +0200
X-Authenticated: #7158753
X-From-Line: nobody Mon Aug 22 09:30:34 2005
To: kai.kaminski@gmx.de
Subject: Re: [Axiom-developer] AxiomUI code
References: <430362B5.6010802@gmail.com>
<200508211309.30273.magnus.larsson.k@bredband.net>
From: Kai Kaminski <kai.kaminski@gmail.com>
Date: Mon, 22 Aug 2005 09:30:31 +0200
In-Reply-To: <200508211309.30273.magnus.larsson.k@bredband.net> (Magnus
Larsson's message of "Sun, 21 Aug 2005 13:09:29 +0200")
User-Agent: Gnus/5.11 (Gnus v5.11) Emacs/21.3.50 (darwin)
Lines: 17
Message-ID: <m27jeenz0b.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 08:59:02 -0000
Magnus Larsson <magnus.larsson.k@bredband.net> writes:
> Your axiomUI works for me. I am using GNU CLISP 2.34 and Axiom 3.9 (September
> 2005).
Thanks for trying this.
> However I could not get the KDE Konqueror web browser to execute
> http://127.0.0.1:8080/toplevel/ properly. Konqueror did not present a result
> when return was pressed after an expression was entered.
> From what I read on the web I'm under the impression that Konqueror is
not very standards compliant. I'll see what I can do.
> Firefox worked fine though.
That's good. Have you installed the proper fonts for jsMath or not?
Cheers,
Kai
From MAILER-DAEMON Mon Aug 22 07:05:24 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7A7G-00023X-4Q
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 07:05:22 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7A79-00020T-Ur
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:05:16 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7A76-0001zF-Vg
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:05:14 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7A75-0001wo-VI
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:05:12 -0400
Received: from [81.169.145.165] (helo=natsmtp00.rzone.de)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7A3N-0000RT-Oc
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:01:22 -0400
Received: from [193.170.38.119] (woodpecker.risc.uni-linz.ac.at
[193.170.38.119]) (authenticated bits=0)
by post.webmailer.de (8.13.1/8.13.1) with ESMTP id j7MB0gEL008006;
Mon, 22 Aug 2005 13:00:43 +0200 (MEST)
Message-ID: <4309B066.80306@hemmecke.de>
Date: Mon, 22 Aug 2005 13:00:54 +0200
From: Ralf Hemmecke <ralf@hemmecke.de>
User-Agent: Mozilla Thunderbird 1.0 (X11/20041206)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
References: <20050820032950.48727.qmail@web31703.mail.mud.yahoo.com>
In-Reply-To: <20050820032950.48727.qmail@web31703.mail.mud.yahoo.com>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 11:05:18 -0000
I would rather suggest to write a package
Mass(R: Ring): Ring == add { ... }
where Ring should actually be something that allows Float to be entered
for R. Maybe even
Mass(T: with {
+: (%, %) -> %;
*: (%, %) -> %;
...
})(R: T): T == add { ... }
would be a good idea.
(Well, that is Aldor syntax, but I hope in can be understood.)
In the "add" part the units could be implemented as variables (together
with some rules to convert from kg to ton or so) of a polynomial domain.
The output would be entirely left to the Mass domain. And the advantage
of that approach would be that one could have also variables in the
domain parameter R. Nothing prevents it from being something like a
polynomial domain. One only has to take care that variables and units
are separated accordingly.
Then I could imagine to write
kg:=kilogramm$Mass(Float);
ton:=ton$Mass(Float);
mass:=7.3 * ton + 4.3 *kg
which would print in kg, say, as the standard format.
7304.3 * kg
Type: Mass(Float)
If you like to see this in tons then say, for example,
convert(mass, ton).
Well... that is just a thought.
If you like more units than just mass, I think, it would be reasonable
to write a Unit domain similar to the Mass domain given above
incorporating also seconds, hours or whatever.
Best regards
Ralf
C Y wrote:
> --- Bill Page <bill.page1@sympatico.ca> wrote:
>
>
>>Here are few initial ideas about how I think units might
>>be implemented in Axiom.
>>
>>For scientific applications of Axiom, I think units might be
>>very useful. My first reaction however is to try to imagine
>>what part of Axiom might be most suitable to represent the
>>concept of units.
>
>
> It's most likely non-trivial - I've got some digging to do into Axiom
> programming philosophy. I'll try to describe what I had envisioned in
> my mind's eye, and perhaps it will emerge what it would take to teach
> Axiom to work with the new concepts.
>
>
>>>There are a number of surprisingly annoying features to handle
>>>based on my experience with Maxima, and one of the worst is
>>>the following:
>>>
>>>If I enter an expression, Axiom automatically formats it and
>>>orders it according to internal rules. See
>>
> http://www.axiom-developer.org/zope/mathaction/SandBox#msg20050819154916
>
>>-0500@www.axiom-developer.org
>>
>>
>>>for an example of this. Normally, this is what one wants to do.
>>
>>I think what you are doing here is ok in Maxima, Maple and
>>Mathematica but it does not fit well in Axiom. I think it might
>>be quite awkward to treat units as expressions of this kind in
>>Axiom.
>
>
> Possibly - I'm not really sure myself yet. But as I'll explain below
> there are reasons for this approach.
>
>
>>>What I'm not sure of is how to instruct Axiom to display things
>>>that are Units at the end of an expression, e.g.
>>>
>>> kg*m
>>>a*b*z ------
>>> 2
>>> s
>>
>>What makes Axiom different is it's strong type system and it's
>>object-orientation. To me this suggests that units in Axiom
>>might be best implemented as extensions of the Float domain.
>
>
> The logic of units certainly has some similarities, but one needs to be
> careful because there are a fair number of unique options one would
> want to have with units. I'm not sure, on closer analysis, that Floats
> are really all that good a match. I'll try to give a couple examples
> below.
>
>
>>By this I mean we should be able to write something like this:
>>
>>(1) -> (2.0::kg + 1.0::lb)::ton
>>
>> (1) 0.0027
>> Type: ton
>>
>>where kg, lb and ton are Axiom domains. Given the right
>>definitions of these domains we should expect that Axiom would
>>perform the necessary coercion/conversion from the domains
>>kg and lb to ton, the same as if we had written:
>>
>>(2) -> (2.0::Float + 1.0::INT)::SF
>>
>> (2) 3.0
>> Type: DoubleFloat
>
>
> The problem with this is there would have to be one type/domain for
> EVERY SINGLE UNIT we wished to define. When one includes the metric
> prefix system, this can include a LOT of types/domains. Conceptually, I
> think it would be more elegant to have Axiom recognize a) a unit is in
> an expression b) determine the dimension of each unit and confirm the
> expression is dimensionally legal and c) depending on options return
> either i) the unsimplified combination of legal terms ii) the
> simplified expression according to a global set of user chosen standard
> units (MKS by default) or iii) if non-basic dimensions like Force are
> enabled, and an expression simplifies to such a dimensional type or a
> combination of higher order types, simplify to the most compact form
> available. Of course, this might not be at all elegant in Axiom as it
> currently exists, but here's a mockup session of what I'd like to see:
>
> (1) -> (2.0::kg + 1.0::lb)::kg
> Error - incompatible dimensions for Add operation
>
> (1) -> (2.0::kg + 1.0::slugs)::kg
>
> (1) 3.45939 kg
> Type: Mass
> (2) -> (2.0::kg + 1.0::slugs)::slugs
>
> (2) 2.3704355929 53220181 slugs
> Type: Mass
>
> Ideally I'd also like Axiom to be able to deal with (2.0*kg +
> 1.0*slugs)::kg as well, but I don't know if that would be legal or not.
> Conceptually at least, 2.0*kg and 2.0::kg are the same thing. I'll
> add more mockups below as they seem relevant.
>
>
>>To implement something like:
>>
>>(3) -> 2.0::m * 3.1::kg
>>
>> 6.1
>> Type: m*kg
>>
>>Axiom will have to be told how to multiply meters by kilograms.
>>This is easily done given Axiom function overloading. Add of
>>course Axiom needs to know how to construct new units (types)
>>from old ones. Since types are first order objects in Axiom,
>>this is also quite easy.
>
>
> I would like to see this feature handle things as follows (I don't know
> enough about the type system to know if it could do this yet)
>
> (3) -> (4.0::kg * 3.0::m / 6::s**-2)
>
> kg m
> (3) 2.0 ----
> 2
> s
> Type: Mass*Length/Time^2
> (4) -> ActivateExtendedUnitTypes(MKS)
>
> (4) True (not sure what the "standard" way to do this is)
> Type: Bool
> (5) -> (4.0::kg * 3.0::m / 6::s**-2)
>
> (5) 2 N
> Type: Force
> (6) -> (4.0::kg * 3.0::m / 6::s**-2)::dyn
>
> (6) 200000 dyn
> Type: Force
> (7) -> (a::N)::dyn
>
> (7) 100000 a dyn
> Type: VariableForce
>
> There are many other variations on what a user might want - for
> example, after doing some calculations in N or dyne they may want to
> render their forces in base units, but cm*g/minute^2 rather than MKS.
> Options to set defaults for and override locally all of these
> simplifications are needed. Assignment checking is also needed - for
> example, in the last example above a should only be assigned quantities
> of type Force. However, any Force type is legal and should be accepted
> and converted as controlled by settings.
>
>
>>Perhaps you are confusing the notion of 'dimension' and 'unit'
>>here
>
>
> Possibly - I get a bit loose with my terminology sometimes, which won't
> do in the Axiom world :-). To be clear - each unit is associated with
> a dimension, and I would like to see the rules governing unit
> interactions work on the dimension level, while handling the conversion
> between different units with the same dimension automatically based on
> circumstances as determined by either default settings or the user's
> preferences.
>
>
>>but still I think these ideas both map quite well to
>>Axiom's type system. For example
>>
>>(4) -> 1.0::m + 2.0::s
>>
>>would constitute a type error.
>
>
> Right - essentially Axiom's strict typing gives us a chance to have
> dimensional analysis as part of all calculations :-).
>
>
>>The display of units as types, e.g.
>>
>> Type: m*kg
>>
>>should be possible, although I think there my currently be
>>some built-in assumptions about type expressions that might
>>currently preclude this nice infix notation. But a type such
>>as
>>
>> Type: Prod(m,kg)
>>
>>is certainly possible.
>
>
> Right, but as I showed in my examples above my preference is for the
> units to remain as a displayed part of the expression, and the Type
> information to report the dimension of the quantity in question. This
> seems to me to be the most useful thing to do.
>
>
>>>Is there anybody who knows what the correct approach to this
>>>would be?
>>
>>Maple has an elaborate Scientific units and dimension system
>>that even takes advantage of overloading operations like + * /
>>such as I suggested above, although Maple does not really have
>>the notion of strong typing. If you have the opportunity to study
>>how this was done in Maple perhaps it will suggest a possible
>>approach in Axiom.
>
>
> I have looked at the Maple package, and indeed they use many similar
> ideas to ones I had arrived at (after much trial and error) in the
> Maxima design. (Boy was that embarassing - a real lesson to do my
> homework before beating my head against the nearest wall!) How it's
> ideas map into Axiom's strong typing system is, unfortunately, the real
> nut to crack. Axiom's system offers some exciting possibilities, but
> it looks like there might be some roadblocks to plow through too.
>
> I should mention that Maple has the idea of things like (IIRC) unit
> space where expressions are encapsulated in a Units() denotation, e.g.
> 4*z*Units(kg*m/s^2). This was rejected for the Maxima package - we
> felt that the program should be able to handle the "textbook"
> kg*m
> formatting style of 4*z ---- since this is the convention used
> 2
> s
> almost universally in the sciences (who are most likely to be dealing
> with units.) I have the same hope for Axiom - units, as multiplicative
> factors, remaining part of the expression, and the Type information
> working on the dimension level. (As in my examples above.)
>
>
>>These are just some rough initial ideas. I am not sure how
>>well this concept of "units as types" will work out in
>>detail.
>
>
> It might be that that would be the best "mapping" of the idea onto
> Axiom's system, although aesthetically I prefer the idea of working
> with dimensions and units providing the multiplicative factors for
> conversion between each other. Discussion welcome.
>
> Cheers,
> CY
>
> P.S. - there's also the whole idea of error analysis which enters into
> this equation - for example, when discussing physical quantities 2.0
> has a significance - you are implying a greater measurement accuracy
> than just stating 2. So there may be a collision in the future between
> float and integer behavior in Axiom and the handling of accuracy. For
> example, if I have a measurement of 10+-2 and I subtract the quantity
> 4.0007+-0.0005, the proper return (if I've got this right - it's been a
> while) would be 6+-2, since error analysis combining the two errors
> would result in 2 + <small amount>, and significant figure rules say to
> chop off the <small amount>. Anyway, there are rules governing such
> things and I suspect there might be a collision between those and
> "normal" mathematical convention, where all things are exact. Then
> there's the whole issue of errors introduced by the CAS itself, due to
> precision limits and such. But that's for another day.
From MAILER-DAEMON Mon Aug 22 07:40:23 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7Af6-0002Yh-BR
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 07:40:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Aey-0002Wp-L0
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:40:13 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7Aev-0002W3-Im
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:40:11 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Aet-0002TE-TM
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:40:08 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7AZg-0002ge-3s
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:34:44 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7MBXxwl022450;
Mon, 22 Aug 2005 06:33:59 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050822063357-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 22 Aug 2005 06:33:59 -0500
Cc:
Subject: [Axiom-developer] [#196 )set functions compile on]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 11:40:15 -0000
Changes http://page.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn/diff
--
Another manifestation is reported by Kai Kaminski:
\begin{axiom}
)se fu co on
addx x == ((y: Integer): Integer +-> x + y)
g := addx 10
\end{axiom}
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn#msg20050822063357-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 22 07:44:48 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7AjP-0003zh-Rw
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 07:44:47 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Afp-0002rz-Th
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:41:06 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7Afj-0002ns-Tr
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:41:01 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Afi-0002TE-33
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:40:58 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7AcX-0002xF-DT
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 07:37:41 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7MBaEHw093700;
Mon, 22 Aug 2005 13:36:17 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17161.47171.356735.432575@seam101.local>
Date: Mon, 22 Aug 2005 13:34:27 +0200
To: Kai Kaminski <kai.kaminski@gmail.com>
Subject: Re: [Axiom-developer] Function definition crashes Axiom
In-Reply-To: <m21x4rhs1i.fsf@Pupone.local>
References: <m21x4rhs1i.fsf@Pupone.local>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=2 Fuz1=2 Fuz2=2
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 11:44:44 -0000
This is the same as bug #165 and #196. I'll add it there. Would be great if you
could fix that :-)
Martin
Kai Kaminski writes:
>
> Hi everyone,
>
> I'm currently rebuilding parts of the HyperDoc documentation. One page
> (ug06.[p]ht) contains the following commands:
>
> addx x == ((y: Integer): Integer +-> x + y)
>
> g := addx 10
>
> When I enter those commands at the Axiom toplevel, Axiom crashes due
> to a segmentation fault. I'm using version 3.8 (patch-43) freshly
> built on Ubuntu 5.04. I'm pretty sure that I haven't modified the
> source code prior to compiling it, but I'll rebuild it to be sure, if
> noone else has this problem.
>
> Thanks,
> Kai
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
From MAILER-DAEMON Mon Aug 22 08:37:56 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7BYp-0006Ha-HE
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 08:37:55 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7BYl-0006Gf-R8
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 08:37:52 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7BYj-0006Fn-OW
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 08:37:51 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7BXo-0005aS-Ez
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 08:36:52 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7BKf-0006YT-Vg
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 08:23:18 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7MCLgHw014338;
Mon, 22 Aug 2005 14:21:45 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17161.49899.173008.240260@seam101.local>
Date: Mon, 22 Aug 2005 14:19:55 +0200
To: Ralf Hemmecke <ralf@hemmecke.de>
Subject: Re: [Axiom-developer] Unit package question
In-Reply-To: <4309B066.80306@hemmecke.de>
References: <20050820032950.48727.qmail@web31703.mail.mud.yahoo.com>
<4309B066.80306@hemmecke.de>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 12:37:53 -0000
Dear Ralf, CY,
in fact, I like this idea even better than mine. In private communication, we
developed the domain below, but your idea is conceptually better, I think. The
full blown thing would then be a category Units, that has as domains Mass,
Time, Length, ... I suppose.
Martin
)abb domain UNITS Units
Units(R: Field): Exports == Implementation where
U == Fraction Polynomial Integer
Exports == with
"*": (%,%) -> %
"+": (%,%) -> %
coerce: % -> OutputForm
withUnits: (R, U) -> %
setUnitSystem!: String -> String
Implementation == add
Rep := Record(expr: R, units: U)
system: String := "MKS"
setUnitSystem! s ==
t := system
system := s
t
transform: U -> Record(scalar: R, units: U)
transform u ==
m := 'm::Symbol::Polynomial(Integer)::U
v := u
if system = "MKS"
then v := eval(u, ['cm, 'dm], _
[m*1/100::U, m*1/10::U])$RationalFunction(Integer)
s: Fraction Integer := leadingCoefficient(numer(v)) _
/ leadingCoefficient(denom(v))
r: U := leadingMonomial(numer(v))::U _
/ leadingMonomial(denom(v))::U _
/ s ::U
[s::R, r]
withUnits(e, u) == [e, u]::Rep
x * y == [(x::Rep).expr * (y::Rep).expr, (x::Rep).units * (y::Rep).units]
x + y ==
ux := transform((x::Rep).units)
uy := transform((y::Rep).units)
if ux.units = uy.units
then [(x::Rep).expr*ux.scalar + (y::Rep).expr*uy.scalar, ux.units]
else error "+: Units have to match"
coerce x == coerce((x::Rep).expr)$R * coerce((x::Rep).units)$U
From MAILER-DAEMON Mon Aug 22 14:12:19 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7GmR-0002G8-Fu
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 14:12:19 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7GmP-0002Ed-3m
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 14:12:17 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7GmN-0002Dj-7Y
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 14:12:16 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Gll-0001eO-IH
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 14:11:37 -0400
Received: from [195.54.107.73] (helo=mxfep02.bredband.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7GdP-0002uW-5x
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 14:02:59 -0400
Received: from [192.168.0.2] ([213.114.172.139] [213.114.172.139])
by mxfep02.bredband.com with ESMTP
id <20050822180217.NFGO17509.mxfep02.bredband.com@[192.168.0.2]>;
Mon, 22 Aug 2005 20:02:17 +0200
From: Magnus Larsson <magnus.larsson.k@bredband.net>
To: Kai Kaminski <kai.kaminski@gmx.de>
Subject: Re: [Axiom-developer] AxiomUI code
Date: Mon, 22 Aug 2005 20:02:11 +0200
User-Agent: KMail/1.8.90
References: <430362B5.6010802@gmail.com>
<200508211309.30273.magnus.larsson.k@bredband.net>
<m2acjao2co.fsf@Pupone.local>
In-Reply-To: <m2acjao2co.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: 7bit
Content-Disposition: inline
Message-Id: <200508222002.12005.magnus.larsson.k@bredband.net>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 18:12:17 -0000
On Monday 22 August 2005 09.30, Kai Kaminski wrote:
> Magnus Larsson <magnus.larsson.k@bredband.net> writes:
> > Your axiomUI works for me. I am using GNU CLISP 2.34 and Axiom 3.9
> > (September 2005).
>
> Thanks for trying this.
>
> > However I could not get the KDE Konqueror web browser to execute
> > http://127.0.0.1:8080/toplevel/ properly. Konqueror did not present a
> > result when return was pressed after an expression was entered.
>
> From what I read on the web I'm under the impression that Konqueror is
> not very standards compliant. I'll see what I can do.
>
> > Firefox worked fine though.
>
> That's good. Have you installed the proper fonts for jsMath or not?
Hello Kai Kaminski,
I used jsMath fonts.
Best regards,
Magnus Larsson
From MAILER-DAEMON Mon Aug 22 16:50:20 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7JFL-0003cT-EB
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 16:50:19 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7JEs-0003Px-8c
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 16:49:50 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7JEl-0003M9-Q2
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 16:49:45 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7JEk-0003Jt-S2
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 16:49:43 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7JAr-00077N-61
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 16:45:41 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7MKikwl003827;
Mon, 22 Aug 2005 15:44:46 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050822154444-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 22 Aug 2005 15:44:46 -0500
Cc:
Subject: [Axiom-developer] [FrontPage] integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 20:49:53 -0000
Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--
the function f(x,y) = 12xy(1-y) for 0<x<1, 0<y<1
the condition of inequality (x-y)> (1/2)
what if the limits of integration are functions of the variable I
am integrating over.
is this somthing which can be done in a simple way, with Axiom?
examples:
Mathimatic 5.1:
In[2]:=Integrate[12*x*y*(1-y)*Boole[x-y>1/2],{y,0,1},{x,0,1}]
Maple:
Doubleint(12*x*y*(1-y)*Heaviside(x-y-1/2),x=0..1,y=0..1);
many thanks
--
forwarded from http://page.axiom-developer.org/zope/mathaction/FrontPage#msg20050822154444-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 22 18:44:35 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7L1u-0005vv-G5
for mharc-axiom-developer@gnu.org; Mon, 22 Aug 2005 18:44:34 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Kv8-0003r2-G2
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 18:37:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7Kuy-0003ls-08
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 18:37:26 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Kux-0003cq-CI
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 18:37:23 -0400
Received: from [81.103.221.48] (helo=mta08-winn.ispmail.ntl.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7KbO-00059x-Au
for axiom-developer@nongnu.org; Mon, 22 Aug 2005 18:17:11 -0400
Received: from aamta12-winn.ispmail.ntl.com ([81.103.221.35])
by mta08-winn.ispmail.ntl.com with ESMTP id
<20050822221624.WHYA23002.mta08-winn.ispmail.ntl.com@aamta12-winn.ispmail.ntl.com>;
Mon, 22 Aug 2005 23:16:24 +0100
Received: from obscurity.home ([80.3.52.57])
by aamta12-winn.ispmail.ntl.com with ESMTP id
<20050822221617.KBNX29701.aamta12-winn.ispmail.ntl.com@obscurity.home>;
Mon, 22 Aug 2005 23:16:17 +0100
Received: from obscurity.home (localhost [127.0.0.1])
by obscurity.home (8.13.1/8.13.1/SuSE Linux 0.7) with ESMTP id
j7MMHeIL009395; Mon, 22 Aug 2005 23:17:42 +0100
Received: (from pab@localhost)
by obscurity.home (8.13.1/8.13.1/Submit) id j7MMHexA009394;
Mon, 22 Aug 2005 23:17:40 +0100
X-Authentication-Warning: obscurity.home: pab set sender to
peter.broadbery@ntlworld.com using -f
From: Peter Broadbery <peter.broadbery@ntlworld.com>
To: daly@axiom-developer.org
In-Reply-To: <200508141707.j7EH7Mue028422@axiom-developer.org>
References: <200508141707.j7EH7Mue028422@axiom-developer.org>
Content-Type: multipart/mixed; boundary="=-gSIb34c7BTjmb4KTBUPy"
Date: Mon, 22 Aug 2005 23:17:36 +0100
Message-Id: <1124749057.6495.33.camel@obscurity.home>
Mime-Version: 1.0
X-Mailer: Evolution 2.0.1
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: Axiom/aldor interface code
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 22 Aug 2005 22:44:31 -0000
--=-gSIb34c7BTjmb4KTBUPy
Content-Type: text/plain
Content-Transfer-Encoding: 7bit
Hi Tim,
Finally managed to get the interface running and building from pamphlets
properly. I've attached two files - there is a tar file which should be
unpacked in axiom/src - this contains an 'aldor' directory. The patch
file contains some minor (but important) changes to files in src/interp.
Typing 'make' in the aldor directory should kick the build off. It
takes less than an hour on my 2Ghz pentium.
To build, you'll need java, and aldor 1.0.2 set up.
I've tried to document how the makefiles fit together in the .pamphlet
files, hopefully some of them will make a form of sense. Basically, the
idea is that the build uses a small java program to dynamically
determine dependencies, and then let make deal with compilation order.
Minor changes: I've changed where axiom looks for the aldor files - they
go to $AXIOM/aldor, not $AXIOM/compiler, mostly 'cos compiler is too
ambiguous. The other changes are simple bug fixes.
For testing, I've appended a very stupid aldor domain (the maths inside
is not meant to be taken seriously; 'tis a silly idea that can't work).
The file contains a short test script at the end.
Pete.
On Sun, 2005-08-14 at 12:07 -0500, daly@axiom-developer.org wrote:
> Pete,
>
> Excellent. Just send me the pamphlets and I'll work on the merge piece.
>
> re: delay. progress is not measured by time. Once I see what you've
> been up to I can work out testing methods and integrate them into
> the whole.
>
> Tim
--
Peter Broadbery <peter.broadbery@ntlworld.com>
--=-gSIb34c7BTjmb4KTBUPy
Content-Disposition: attachment; filename=aldor.diff
Content-Type: text/x-patch; name=aldor.diff; charset=ISO-8859-1
Content-Transfer-Encoding: base64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==
--=-gSIb34c7BTjmb4KTBUPy
Content-Disposition: attachment; filename=rr.as
Content-Type: application/x-applix-spreadsheet; name=rr.as
Content-Transfer-Encoding: base64
CgotLQlSYW5kb20gdmFyaWFibGVzIGFyZSBhc3N1bWVkIHRvIGhhdmUgdGhlIGZvbGxvd2luZyBw
cm9wZXJ0aWVzOgotLQotLSAgIDEuIGNvbXBsZXggY29uc3RhbnRzIGFyZSByYW5kb20gdmFyaWFi
bGVzOwotLSAgIDIuIHRoZSBzdW0gb2YgdHdvIHJhbmRvbSB2YXJpYWJsZXMgaXMgYSByYW5kb20g
dmFyaWFibGU7Ci0tICAgMy4gdGhlIHByb2R1Y3Qgb2YgdHdvIHJhbmRvbSB2YXJpYWJsZXMgaXMg
YSByYW5kb20gdmFyaWFibGU7Ci0tICAgNC4gYWRkaXRpb24gYW5kIG11bHRpcGxpY2F0aW9uIG9m
IHJhbmRvbSB2YXJpYWJsZXMgYXJlIGJvdGggY29tbXV0YXRpdmU7IGFuZAotLSAgIDUuIHRoZXJl
IGlzIGEgbm90aW9uIG9mIGNvbmp1Z2F0aW9uIG9mIHJhbmRvbSB2YXJpYWJsZXMsIHNhdGlzZnlp
bmcKLS0KLS0gICAgICAgKGFiKSogPSBiKiBhKiBhbmQgYSoqID0gYSAKLS0KLS0gICAgICBmb3Ig
YWxsIHJhbmRvbSB2YXJpYWJsZXMgYSwgYiwgYW5kIGNvaW5jaWRpbmcgd2l0aCBjb21wbGV4IGNv
bmp1Z2F0aW9uCi0tICAgICAgaWYgYSBpcyBhIGNvbnN0YW50LgotLQotLVRoaXMgbWVhbnMgdGhh
dCByYW5kb20gdmFyaWFibGVzIGZvcm0gY29tcGxleCBhYmVsaWFuICotYWxnZWJyYXMuIElmIGEg
PSBhKiwKLS10aGUgcmFuZG9tIHZhcmlhYmxlIGEgaXMgY2FsbGVkICJyZWFsIi4KLS0KLS1BbiBl
eHBlY3RhdGlvbiBFIG9uIGFuIGFsZ2VicmEgQSBvZiByYW5kb20gdmFyaWFibGVzIGlzIGEgbm9y
bWFsaXplZCwgcG9zaXRpdmUKLS1saW5lYXIgZnVuY3Rpb25hbC4gV2hhdCB0aGlzIG1lYW5zIGlz
IHRoYXQKLS0KLS0gICAxLiBFKDEpID0gMTsKLS0gICAyLiBFKGEgKiBhKSA+PSAwIGZvciBhbGwg
cmFuZG9tIHZhcmlhYmxlcyBhOwotLSAgIDMuIEUoYSArIGIpID0gRShhKSArIEUoYikgZm9yIGFs
bCByYW5kb20gdmFyaWFibGVzIGEgYW5kIGI7IGFuZAotLSAgIDQuIEUoemEpID0gekUoYSkgaWYg
eiBpcyBhIGNvbnN0YW50LgotLQotLSAgICotYWxnZWJyYQotLSAgIC0tLS0tLS0tLQotLUZyb20g
V2lraXBlZGlhLCB0aGUgZnJlZSBlbmN5Y2xvcGVkaWEuCi0tCi0tSW4gbWF0aGVtYXRpY3MsIGEg
Ki1hbGdlYnJhIGlzIGFuIGFzc29jaWF0aXZlIGFsZ2VicmEgb3ZlciB0aGUgZmllbGQgb2YKLS1j
b21wbGV4IG51bWJlcnMgd2l0aCBhbiBhbnRpbGluZWFyLCBhbnRpYXV0b21vcnBoaXNtICogOiBB
IJKiqiBBIHdoaWNoIGlzIGFuCi0taW52b2x1dGlvbi4gTW9yZSBwcmVjaXNlbHksICogaXMgcmVx
dWlyZWQgdG8gc2F0aXNmeSB0aGUgZm9sbG93aW5nIHByb3BlcnRpZXM6Ci0tCi0tICAgICogKHgg
KyB5KV4qID0geF4qICsgeV4qIFxxdWFkCi0tICAgICogKHogeCleKiA9IFxvdmVybGluZXt6fSB4
XioKLS0gICAgKiAoeCB5KV4qID0geV4qIHheKiBccXVhZAotLSAgICAqICh4XiopXiogPSB4IFxx
dWFkCi0tCi0tZm9yIGFsbCB4LHkgaW4gQSwgYW5kIGFsbCB6IGluIEMuCi0tCi0tVGhlIG1vc3Qg
b2J2aW91cyBleGFtcGxlIG9mIGEgKi1hbGdlYnJhIGlzIHRoZSBmaWVsZCBvZiBjb21wbGV4IG51
bWJlcnMgQwotLXdoZXJlICogaXMganVzdCBjb21wbGV4IGNvbmp1Z2F0aW9uLiBBbm90aGVyIGV4
YW1wbGUgaXMgdGhlIGFsZ2VicmEgb2YgboHXbgotLW1hdHJpY2VzIG92ZXIgQyB3aXRoICogZ2l2
ZW4gYnkgdGhlIGNvbmp1Z2F0ZSB0cmFuc3Bvc2UuCi0tCi0tQW4gYWxnZWJyYSBob21vbW9ycGhp
c20gZiA6IEEgkqKqIEIgaXMgYSAqLWhvbW9tb3JwaGlzbSBpZiBpdCBpcyBjb21wYXRpYmxlCi0t
d2l0aCB0aGUgaW52b2x1dGlvbnMgb2YgQSBhbmQgQiwgaS5lLgotLQotLSAgICAqIGYoYSAqICkg
PSBmKGEpICogZm9yIGFsbCBhIGluIEEuCi0tCi0tQW4gZWxlbWVudCBhIGluIEEgaXMgY2FsbGVk
IHNlbGYtYWRqb2ludCBpZiBhKiA9IGEuCgoKI2luY2x1ZGUgImF4aW9tIgoKUmFuZG9tQWxnZWJy
YShGOiBGaWVsZCk6IENhdGVnb3J5ID09IHdpdGggewogICAgQWxnZWJyYSBGOwogICAgRTogJSAt
PiBGOwogICAgc2FtcGxlOiAlIC0+IEY7Cn0KCmxvY2FsIFBvbHlIZWxwZXIoRjogRmllbGQpOiB3
aXRoIHsKIGV4cGFuZDogU3BhcnNlVW5pdmFyaWF0ZVBvbHlub21pYWwgRiAtPiBHZW5lcmF0b3Ig
Q3Jvc3MoRiwgTm9uTmVnYXRpdmVJbnRlZ2VyKTsKfQo9PSBhZGQgewogICAgZXhwYW5kKHA6IFNw
YXJzZVVuaXZhcmlhdGVQb2x5bm9taWFsIEYpOiBHZW5lcmF0b3IgQ3Jvc3MoRiwgTm9uTmVnYXRp
dmVJbnRlZ2VyKSA9PSBnZW5lcmF0ZSB7CglkZWZhdWx0IG06IFNwYXJzZVVuaXZhcmlhdGVQb2x5
bm9taWFsIEY7CglpbXBvcnQgZnJvbSBTcGFyc2VVbml2YXJpYXRlUG9seW5vbWlhbCBGOwoJaW1w
b3J0IGZyb20gTGlzdCBTcGFyc2VVbml2YXJpYXRlUG9seW5vbWlhbCBGOwoJZm9yIG0gaW4gbW9u
b21pYWxzIHAgcmVwZWF0IHsKCSAgICB5aWVsZCAobGVhZGluZ0NvZWZmaWNpZW50IG0sIGRlZ3Jl
ZSBtKTsKCX0KICAgIH0KfQoKVW5pdmFyaWF0ZU5vcm1hbFJhbmRvbUFsZ2VicmE6IFJhbmRvbUFs
Z2VicmEgRmxvYXQgd2l0aCB7CiBYOiAoKSAtPiAlOwogdmFyaWFuY2U6ICUgLT4gRmxvYXQ7Cn0g
PT0gYWRkIHsKICAgIFJlcCA9PT4gU3BhcnNlVW5pdmFyaWF0ZVBvbHlub21pYWwgRmxvYXQ7CiAg
ICBpbXBvcnQgZnJvbSBSZXA7CgogICAgMDogJSA9PSBwZXIgMDsKICAgIDE6ICUgPT0gcGVyIDE7
CiAgICBYKCk6ICUgPT0gcGVyKG1vbm9taWFsKDEkRmxvYXQsMSROb25OZWdhdGl2ZUludGVnZXIp
JFJlcCk7CgogICAgY2hhcmFjdGVyaXN0aWMoKTogTm9uTmVnYXRpdmVJbnRlZ2VyID09IDA7Cgog
ICAgLSh4OiAlKTogJSA9PSBwZXIoLXJlcCB4KTsKICAgIChhOiAlKSA9IChiOiAlKTogQm9vbGVh
biA9PSByZXAoYSkgPSByZXAoYik7CgogICAgKGE6ICUpICsgKGI6ICUpOiAlID09IHBlcihyZXAo
YSkgKyByZXAoYikpOwogICAgKGE6ICUpICogKGI6ICUpOiAlID09IHBlcihyZXAoYSkgKiByZXAo
YikpOwogICAgKGE6IEZsb2F0KSAqIChiOiAlKTogJSA9PSBwZXIoYSAqIHJlcChiKSk7CgogICAg
Y29lcmNlKHg6IEludGVnZXIpOiAlID09IHBlcih4OjpSZXApOwogICAgY29lcmNlKHg6IEZsb2F0
KTogJSA9PSBwZXIoeDo6UmVwKTsKCiAgICBjb2VyY2UoeDogJSk6IE91dHB1dEZvcm0gPT0gY29l
cmNlIHJlcCh4KTsKCiAgICBFKFg6ICUpOiBGbG9hdCA9PSAgewoJaW1wb3J0IGZyb20gUG9seUhl
bHBlciBGbG9hdDsKCXo6IEZsb2F0IDo9IDA7Cglmb3IgcCBpbiBleHBhbmQgcmVwKFgpIHJlcGVh
dCB7CgkgICAgKGEsIGIpIDo9IHA7CgkgICAgeiA6PSB6ICsgYSAqIEUoYik7Cgl9Cgl6CiAgICB9
CgogICAgLS0gc2hvdWxkIGJlIGEgcmFuZG9tIHNhbXBsaW5nIG9mIHguCiAgICBzYW1wbGUoWDog
JSk6IEZsb2F0ID09IHsKCSAgICBpbXBvcnQgZnJvbSBQb2x5SGVscGVyIEZsb2F0OwoJICAgIGlt
cG9ydCBmcm9tIEZsb2F0OwoJICAgIHUgOj0gdW5pZm9ybTAxKCkkUmFuZG9tRmxvYXREaXN0cmli
dXRpb25zOwoJICAgIHg6IEZsb2F0IDo9IDA7CgkgICAgZm9yIHAgaW4gZXhwYW5kIHJlcChYKSBy
ZXBlYXQgewoJCShhLCBiKSA6PSBwOwoJCXggOj0geCArIGEgKiB1XmI7CgkgICAgfQoJICAgIHJl
dHVybiB4OwogICAgfQoKCQkKICAgIHZhcmlhbmNlKFg6ICUpOiBGbG9hdCA9PSB7IEEgOj0gKFgt
RShYKSoxKTsgRShBKkEpOyB9CgogICAgLS0gcmV0dXJuIGV4cGVjdGVkIHZhbHVlIG9mIFhebgog
ICAgbG9jYWwgRShuOiBOb25OZWdhdGl2ZUludGVnZXIpOiBGbG9hdCA9PSB7CglwOiBSZXAgOj0g
MTsKCS0tIHl1Y2suICBUaGVyZSBtdXN0IGJlIGEgbmljZXIgd2F5IHRoYW4gdGhpcy4uCglmb3Ig
aSBpbiAxLi5uIHJlcGVhdCBwIDo9IGRpZmZlcmVudGlhdGUocCkgKyBtb25vbWlhbCgxLDEpKnA7
Cgljb2VmZmljaWVudChwLDApOwogICAgfQp9CgoKLS0gdGhpcyBpcyBqdXN0IHRlc3Qgbm9uc2Vu
c2UsIHRoZSBjb21waWxlciB3b24ndCBzZWUgaXQuCiNpZiBURVNUSU5HCgopY28gcnIuYXMKCi0t
ICc/JwphIDo9IFgoKSRVbml2YXJpYXRlTm9ybWFsUmFuZG9tQWxnZWJyYQoKLS0gYSBudW1iZXIs
IG5vcm1hbGx5IGRpc3RyaWJ1dGVkIApzYW1wbGUgYQoKLS0gMApFIGEKCi0tIDEKdmFyaWFuY2Uo
YSkKCi0tIDEKdmFyaWFuY2UoYSs1KQoKLS0gNQp2YXJpYW5jZShhKzUpCgotLSAzLCBhcHBhcmVu
dGx5CnZhcmlhbmNlKGFeMiArIGEpCiNlbmRpZgoK
--=-gSIb34c7BTjmb4KTBUPy
Content-Disposition: attachment; filename=src_aldor.tgz
Content-Type: application/x-compressed-tar; name=src_aldor.tgz
Content-Transfer-Encoding: base64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--=-gSIb34c7BTjmb4KTBUPy--
From MAILER-DAEMON Tue Aug 23 00:06:34 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7Q3U-0001zk-6y
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 00:06:32 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Q3G-0001v5-1H
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:06:18 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7Q3B-0001sc-5E
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:06:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Q3B-0001sR-1E
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:06:13 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7Pzj-0001Dx-AT
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:02:39 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7N41ewl017914;
Mon, 22 Aug 2005 23:01:41 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7N41eYv017911;
Mon, 22 Aug 2005 23:01:40 -0500
Date: Mon, 22 Aug 2005 23:01:40 -0500
Message-Id: <200508230401.j7N41eYv017911@axiom-developer.org>
To: peter.broadbery@ntlworld.com
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] aldor patches
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 04:06:25 -0000
Pete,
I read "Recursive Make Considered Harmful" and he makes some good points.
In Axiom's case I'm not sure that a single, mother-of-all-files, Makefile
is a workable solution.
First, he claims that a single Makefile is more efficient. But the Makefile
lookup/DAG build is swamped by the size of the Axiom build in the "clean"
case and a "make" of Axiom with a single file changed is very fast.
Second, he claims that the DAG edges get missed when recursive makes
are used. That is probably true in C using include files. He proposes
some solutions (VPATH, GCC -MM) that are not useful for lisp. Axiom
does have some "include"-like issues because lisp macros have to be
in the compile environment at the correct time. You'll notice that Axiom
builds "depsys". This is an image that includes the macros that are used.
Depsys is used to compile the Axiom lisp code where needed. Thus the
"include"-like issue is handled. Changing a depsys file will likely
trigger a complete system rebuild because it is very hard to compute
the macro vs file dependency tree. I certainly don't want that tree
expressed (and hand maintained) in the Makefile stanzas.
Similarly in the algebra subdirectory I originally started using the
Makefile stanzas to decide what needs to be recompiled. Given 1100
domains and their various dependencies this is impractical. In fact,
I would claim that hand-maintaining any dependency graph with 1100
nodes cannot work. And it clearly cannot scale. If Axiom grows by a
factor of 100 over the next 30 years that would mean 110000 stanzas
with who-knows-how-many dependencies.
Third, he misses a key point. While recursive makes are inefficient
they are conceptually manageable. Axiom is a huge system and some of
the Makefiles used to exceed 40000 lines (which brought Bill Page to
open rebellion and rightly so. I used a scheme which had a file-per-stanza
and his scheme uses generic rule patterns). I understand the details of
building Axiom and have expressed the process as clearly and correctly
as possible (modulo some complexity still to be handled like fixed-point
compiles). The directory structure and their associated Makefiles
reflect that understanding.
If I were to combine the Makefiles into one Mother-Makefile it would
probably total 100000 lines which would be a HUGE rule-based program
(maybe the largest I've ever seen and I authored a rule-based programming
language at IBM).
Recursion allows me to dole out the tasks in slightly more manageable
conceptual chunks. Each subdirectory only cares about itself and its
children so the frame of reference is localized.
I'll trade program inefficiency for clarity any day. As for "cross
directory dependency" I used "trigger files" to indicate that a
rebuild is needed. For instance, src/interp/Makefile has the
'database.date' marker which is touched if the databases get
rebuilt and interpsys needs to be regenerated.
Miller assumes that you can code all of your dependency information
in the Makefile stanzas. In any really complex project this is not
possible (try hand-coding the axiom algebra lattice).
Miller rails against the practice of writing procedural control
related shell scripts in Makefiles which undermine the whole concept
of a rule-based programming language. On this point I agree wholeheartedly.
I've also tried hard to avoid all uses of special tools such as
#if, common includes, dynamic includes (well, 'findSpadFiles' in
src/algebra/Makefile.pamphlet is an exception), and other computed
approaches. Given the one-stanza-per-file method it turns out that
make has very little to do except stat files and build the well-specified
DAG.
In any case, I'm happy to see you didn't include a patch which rewrote
all of the Makefiles into one big Makefile. I'm old and my heart would
not stand such a shock.
t
From MAILER-DAEMON Tue Aug 23 00:29:28 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7QPf-0005s6-Mo
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 00:29:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7QOz-0005jf-0w
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:28:45 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7QOn-0005fe-Gl
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:28:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7QOn-0005bv-8B
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:28:33 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7Q44-0001Ve-4c
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 00:07:08 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7N46Awl018817;
Mon, 22 Aug 2005 23:06:10 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7N46Aml018814;
Mon, 22 Aug 2005 23:06:10 -0500
Date: Mon, 22 Aug 2005 23:06:10 -0500
Message-Id: <200508230406.j7N46Aml018814@axiom-developer.org>
To: peter.broadbery@ntlworld.com
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] aldor patches
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 04:29:24 -0000
Pete,
I'm looking at your patches and reading them in detail.
You mention a shell variable 'ALDORROOT' but don't tell me what
value it is expected to have (a) at compile time and (b) at runtime.
I'm assuming that the aldor compiler will be in
mnt/linux/bin
and the libraries would be in
mnt/linux/lib
Also in the Makefile.pamphlet you set:
INTERPSYS := ${OBJ}/${SYS}/bin/depsys
Is this what you intended? Why?
I did learn the difference between '=' and ':=' in Makefiles from
your comments so I'll look at back-fitting this into the system
where appropriate.
more questions to follow...
t
From MAILER-DAEMON Tue Aug 23 04:57:22 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7Uap-0002V3-AF
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 04:57:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Uae-0002Tz-7q
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 04:57:05 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7URE-0001ww-CS
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 04:47:24 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7UPG-0001Fg-5X
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 04:45:21 -0400
Received: from [81.103.221.49] (helo=mta09-winn.ispmail.ntl.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7Tu5-000846-5j
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 04:13:05 -0400
Received: from aamta09-winn.ispmail.ntl.com ([81.103.221.35])
by mta09-winn.ispmail.ntl.com with ESMTP id
<20050823081216.OUYI9239.mta09-winn.ispmail.ntl.com@aamta09-winn.ispmail.ntl.com>;
Tue, 23 Aug 2005 09:12:16 +0100
Received: from obscurity.home ([80.3.52.57])
by aamta09-winn.ispmail.ntl.com with ESMTP id
<20050823081215.MKUS23288.aamta09-winn.ispmail.ntl.com@obscurity.home>;
Tue, 23 Aug 2005 09:12:15 +0100
Received: from obscurity.home (localhost [127.0.0.1])
by obscurity.home (8.13.1/8.13.1/SuSE Linux 0.7) with ESMTP id
j7N8Djub022702; Tue, 23 Aug 2005 09:13:47 +0100
Received: (from pab@localhost)
by obscurity.home (8.13.1/8.13.1/Submit) id j7N8DciZ022666;
Tue, 23 Aug 2005 09:13:38 +0100
X-Authentication-Warning: obscurity.home: pab set sender to
peter.broadbery@ntlworld.com using -f
From: Peter Broadbery <peter.broadbery@ntlworld.com>
To: daly@axiom-developer.org
In-Reply-To: <200508230401.j7N41eYv017911@axiom-developer.org>
References: <200508230401.j7N41eYv017911@axiom-developer.org>
Content-Type: text/plain
Content-Transfer-Encoding: 7bit
Date: Tue, 23 Aug 2005 09:13:26 +0100
Message-Id: <1124784807.6127.37.camel@obscurity.home>
Mime-Version: 1.0
X-Mailer: Evolution 2.0.1
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: aldor patches
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 08:57:09 -0000
No problem - I've a project which is suitable for non-recursive
makefiles, and nicked the structure from there. As you say, axiom in
its entirety is not really the kind of thing that can be tackled this
way. The reference to 'considered harmful' was just to a similar style,
not signalling any intent to change existing code, and I've no argument
with your assesment below.
In the case of the aldor library the non-recursive part is less
important than the ability to list a bunch of files and have make sort
out what targets you mean; this way I don't need to autogenerate
stanzas, and the build will include new types as they are added to
src/algebra. Both of these should reduce the amount of maintenance
required by libaxiom, which was an important goal.
Peter
On Mon, 2005-08-22 at 23:01 -0500, daly@axiom-developer.org wrote:
> Pete,
>
> I read "Recursive Make Considered Harmful" and he makes some good points.
>
> In Axiom's case I'm not sure that a single, mother-of-all-files, Makefile
> is a workable solution.
>
> First, he claims that a single Makefile is more efficient. But the Makefile
> lookup/DAG build is swamped by the size of the Axiom build in the "clean"
> case and a "make" of Axiom with a single file changed is very fast.
>
> Second, he claims that the DAG edges get missed when recursive makes
> are used. That is probably true in C using include files. He proposes
> some solutions (VPATH, GCC -MM) that are not useful for lisp. Axiom
> does have some "include"-like issues because lisp macros have to be
> in the compile environment at the correct time. You'll notice that Axiom
> builds "depsys". This is an image that includes the macros that are used.
> Depsys is used to compile the Axiom lisp code where needed. Thus the
> "include"-like issue is handled. Changing a depsys file will likely
> trigger a complete system rebuild because it is very hard to compute
> the macro vs file dependency tree. I certainly don't want that tree
> expressed (and hand maintained) in the Makefile stanzas.
>
> Similarly in the algebra subdirectory I originally started using the
> Makefile stanzas to decide what needs to be recompiled. Given 1100
> domains and their various dependencies this is impractical. In fact,
> I would claim that hand-maintaining any dependency graph with 1100
> nodes cannot work. And it clearly cannot scale. If Axiom grows by a
> factor of 100 over the next 30 years that would mean 110000 stanzas
> with who-knows-how-many dependencies.
>
> Third, he misses a key point. While recursive makes are inefficient
> they are conceptually manageable. Axiom is a huge system and some of
> the Makefiles used to exceed 40000 lines (which brought Bill Page to
> open rebellion and rightly so. I used a scheme which had a file-per-stanza
> and his scheme uses generic rule patterns). I understand the details of
> building Axiom and have expressed the process as clearly and correctly
> as possible (modulo some complexity still to be handled like fixed-point
> compiles). The directory structure and their associated Makefiles
> reflect that understanding.
>
> If I were to combine the Makefiles into one Mother-Makefile it would
> probably total 100000 lines which would be a HUGE rule-based program
> (maybe the largest I've ever seen and I authored a rule-based programming
> language at IBM).
>
> Recursion allows me to dole out the tasks in slightly more manageable
> conceptual chunks. Each subdirectory only cares about itself and its
> children so the frame of reference is localized.
>
> I'll trade program inefficiency for clarity any day. As for "cross
> directory dependency" I used "trigger files" to indicate that a
> rebuild is needed. For instance, src/interp/Makefile has the
> 'database.date' marker which is touched if the databases get
> rebuilt and interpsys needs to be regenerated.
>
> Miller assumes that you can code all of your dependency information
> in the Makefile stanzas. In any really complex project this is not
> possible (try hand-coding the axiom algebra lattice).
>
> Miller rails against the practice of writing procedural control
> related shell scripts in Makefiles which undermine the whole concept
> of a rule-based programming language. On this point I agree wholeheartedly.
>
> I've also tried hard to avoid all uses of special tools such as
> #if, common includes, dynamic includes (well, 'findSpadFiles' in
> src/algebra/Makefile.pamphlet is an exception), and other computed
> approaches. Given the one-stanza-per-file method it turns out that
> make has very little to do except stat files and build the well-specified
> DAG.
>
> In any case, I'm happy to see you didn't include a patch which rewrote
> all of the Makefiles into one big Makefile. I'm old and my heart would
> not stand such a shock.
>
> t
--
Peter Broadbery <peter.broadbery@ntlworld.com>
From MAILER-DAEMON Tue Aug 23 05:03:42 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7Ugo-0003RB-Dc
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 05:03:26 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Ugf-0003GM-2P
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 05:03:17 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7UcG-0002da-65
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 04:59:01 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7UL1-0001Fg-FG
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 04:40:58 -0400
Received: from [81.103.221.49] (helo=mta09-winn.ispmail.ntl.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7UHr-0000nl-Py
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 04:37:40 -0400
Received: from aamta12-winn.ispmail.ntl.com ([81.103.221.35])
by mta09-winn.ispmail.ntl.com with ESMTP id
<20050823083650.PMVD9239.mta09-winn.ispmail.ntl.com@aamta12-winn.ispmail.ntl.com>;
Tue, 23 Aug 2005 09:36:50 +0100
Received: from obscurity.home ([80.3.52.57])
by aamta12-winn.ispmail.ntl.com with ESMTP id
<20050823083650.MDHD29701.aamta12-winn.ispmail.ntl.com@obscurity.home>;
Tue, 23 Aug 2005 09:36:50 +0100
Received: from obscurity.home (localhost [127.0.0.1])
by obscurity.home (8.13.1/8.13.1/SuSE Linux 0.7) with ESMTP id
j7N8cKBo023089; Tue, 23 Aug 2005 09:38:22 +0100
Received: (from pab@localhost)
by obscurity.home (8.13.1/8.13.1/Submit) id j7N8cKMe023088;
Tue, 23 Aug 2005 09:38:20 +0100
X-Authentication-Warning: obscurity.home: pab set sender to
peter.broadbery@ntlworld.com using -f
From: Peter Broadbery <peter.broadbery@ntlworld.com>
To: daly@axiom-developer.org
In-Reply-To: <200508230406.j7N46Aml018814@axiom-developer.org>
References: <200508230406.j7N46Aml018814@axiom-developer.org>
Content-Type: text/plain
Content-Transfer-Encoding: 7bit
Date: Tue, 23 Aug 2005 09:38:19 +0100
Message-Id: <1124786299.6127.56.camel@obscurity.home>
Mime-Version: 1.0
X-Mailer: Evolution 2.0.1
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: aldor patches
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 09:03:22 -0000
On Mon, 2005-08-22 at 23:06 -0500, daly@axiom-developer.org wrote:
> Pete,
>
> I'm looking at your patches and reading them in detail.
>
> You mention a shell variable 'ALDORROOT' but don't tell me what
> value it is expected to have (a) at compile time and (b) at runtime.
>
ALDORROOT is the location of your aldor distribution; it should always
be set to the place where aldor is installed on your machine - in the
NAG days we could install aldor within the axiom tree - I'm guessing
that this isn't viable with different licenses for the two systems.
Fortunately the two things are fairly loosely coupled; I don't see any
reason for the aldor lisp generator to change dramatically, and axiom's
requirements are pretty stable. Moving versions should be less painful
than changing lisps for example.
> I'm assuming that the aldor compiler will be in
> mnt/linux/bin
> and the libraries would be in
> mnt/linux/lib
>
>
> Also in the Makefile.pamphlet you set:
>
> INTERPSYS := ${OBJ}/${SYS}/bin/depsys
>
> Is this what you intended? Why?
Not sure; I've probably just taken liberties with the conventional
names; It should be depsys of course. I probably initially used
interpsys, and then ran into a problem and changed the definition and
not the name.
>
> I did learn the difference between '=' and ':=' in Makefiles from
> your comments so I'll look at back-fitting this into the system
> where appropriate.
>
> more questions to follow...
>
> t
OK - will try to reply quickly, but I'm out and about fairly frequently.
NB: As expected, I missed a bunch of files and certain ones need to have
'document' run on them explicitly - I'll try to prepare a makefile which
explicitly does the document thing first; attrib.as.head.pamphlet
contains a minor error in the \author line; & should be a comma or
something.
Peter.
--
Peter Broadbery <peter.broadbery@ntlworld.com>
From MAILER-DAEMON Tue Aug 23 07:42:36 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7XAp-0003I7-8R
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 07:42:35 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7XAh-0003DC-9K
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 07:42:27 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7XAf-0003Bx-2z
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 07:42:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7XAc-00036y-C5
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 07:42:22 -0400
Received: from [68.142.201.181] (helo=web31701.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7X5y-0005B4-6L
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 07:37:34 -0400
Received: (qmail 73952 invoked by uid 60001); 23 Aug 2005 11:36:40 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=Bgz2RP9hkuDlLNHYYFwdiaMStV2ZrPIFINhO2JZZ0bQiYJWwa8JIimiaJyiDyyX4/GjWKdW3q4Vpr4qbRkEULJQGWQxRj9cOP6x0j+cOCaFW5ekttenpEqjP93oiULr96isz1ERx1/VwOAttldrGuZGWkuvUnPt8PDlG8xd4jdY=
;
Message-ID: <20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31701.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 04:36:40 PDT
Date: Tue, 23 Aug 2005 04:36:40 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
To: Martin Rubey <martin.rubey@univie.ac.at>, Ralf Hemmecke <ralf@hemmecke.de>
In-Reply-To: <17161.49899.173008.240260@seam101.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 11:42:30 -0000
--- Ralf Hemmecke <ralf@hemmecke.de> wrote:
> I would rather suggest to write a package
>
> Mass(R: Ring): Ring == add { ... }
>
> where Ring should actually be something that allows Float to be
> entered for R. Maybe even
>
> Mass(T: with {
> +: (%, %) -> %;
> *: (%, %) -> %;
> ...
> })(R: T): T == add { ... }
>
> would be a good idea.
> (Well, that is Aldor syntax, but I hope in can be understood.)
Well, about as well as I understand Axiom's syntax... :-/. I might as
well ask this up front, and I'm sorry in advance if I missed something
obvious and/or am proving myself as intelligent as your average rock:
Is there a tutorial or some such that takes a Category->Domains set of
code and dissects it essentially character by character, answering all
the dumb questions? Here are some of the ones floating around in my
head which I don't know quite how to answer at the moment. I'm quite
aware these are an indicator I haven't read and understood something I
need to, so if someone can point me to the correct "Axiom for Dummies"
file I'll be only too glad to fade away until I understand it properly.
Taking this example:
Units(R: Field): Exports == Implementation where
U == Fraction Polynomial Integer
1) The syntax (R: Field) - what does this actually denote? R I guess
is all Rings? I don't know how to parse this statement - is : a
separator, an indicator that R is being restricted to Field (whatever
that is) or what? Why is it there at all - I'm assuming it has
something to do with letting Axiom know about the existence of the idea
of <something>*Units?
2) Exports == Implementation - what is actually being exported here,
and where is it being exported to?
3) U == Fraction Polynomial Integer I'm assuming this is part of the
Export - I'm also guessing the $U at the end of the units.spade file
somehow ties off the domain definition?
4) What is the significance of "%" within a domain definition?
5) Is there a file in the mnt/linux/doc directories somewhere that
gives a detailed description of the syntax of Axiom's spad code?
Clearly I need to write a new parser in my head.
What does it mean to define "Exports" from a Category or Domain? Are
Exports visible to the user on the command line or do they manifest
themselves in the parent Category?
If "Domains" are to be part of a "Category", what responsibilities do
the Domains have to a) label themselves as being part of a category b)
export anything back to the Category? Can a Category demand certain
abilities or actions be defined for a Domain in order for it to be a
legal part of the Category?
> In the "add" part the units could be implemented as variables
> (together with some rules to convert from kg to ton or so) of a
> polynomial domain. The output would be entirely left to the Mass
> domain. And the advantage of that approach would be that one could
> have also variables in the domain parameter R. Nothing prevents it
> from being something like a polynomial domain. One only has to
> take care that variables and units are separated accordingly.
The gotchas there (which I suppose might be sidesteped somehow and I'm
not seeing it):
There are a LOT of conversions to implement. This is a significant
part of the grunt work of creating a units package, once the core logic
is in place. At an absolute minimum, I would suggest having a "pivot"
unit defined for each dimensional domain and define all units in terms
of the pivot unit. Then the autoconverters can do two conversions and
the definitions file is only 2*n instead of n^2 in size. I got fancy
in Maxima and handled metric prefixes automatically, but Martin didn't
think that would be a good idea here.
Each "unit" domain (or more properly, dimension domain that defines a
non-basic dimension) needs to know enough about the other domains to
spot significant unit combinations, if we add derived units like Force
into the picture. (We need to for any non-trivial use of a serious
Units package.) So if we define a Mass domain, a Length domain, and a
Time domain can we somehow define a derived domain which recognizes and
handles the combination Mass*Length/Time^2 as Force?
> Then I could imagine to write
>
> kg:=kilogramm$Mass(Float);
> ton:=ton$Mass(Float);
This we would want to create as the "units database" for the default
package. Ideally, loading or activating the units package should have
all those definitions prepared and ready.
> mass:=7.3 * ton + 4.3 *kg
>
> which would print in kg, say, as the standard format.
>
> 7304.3 * kg
> Type: Mass(Float)
>
> If you like to see this in tons then say, for example,
> convert(mass, ton).
>
> Well... that is just a thought.
It's a good thought, and is similar in some respects to what I tried in
Maxima.
> If you like more units than just mass, I think, it would be
> reasonable to write a Unit domain similar to the Mass domain
> given above incorporating also seconds, hours or whatever.
--- Martin Rubey <martin.rubey@univie.ac.at> wrote:
> Dear Ralf, CY,
>
> in fact, I like this idea even better than mine. In private
> communication, we developed the domain below, but your idea is
> conceptually better, I think. The full blown thing would then be
> a category Units, that has as domains Mass, Time, Length, ... I
> suppose.
>From what little I do understand, I like this idea the best of any so
far. I would call the category Dimensions, since that's what Mass,
Time and Length denote - they are not units until a specific quantity
like 1 kg, 1 sec and 1 meter is defined. I would define in each domain
a "pivot unit" - this will be the unit that all other units defined in
the domain will need to be defined in terms of. (Not necessarily by
the user - I'm sure Axiom could process inches defined as a Length in
terms of centimeters into an internal definition of inches in terms of
meters (probably the most logical pivot unit for Length, although any
could be made to work.) This maps well into defining units easily and
correctly, since each unit defined can be identified as being part of a
unique domain. Then the rules for using it become instantly clear,
being handled at the dimension level, which with the possible exception
of temperature need not and should not concern itself with the details
of converting between units - at that level the rules for dimensional
analysis can be put in place. After that it's mostly knowing what's
related to what by what ratio, after all. Then variables can be
defined as being part of the Mass domain, and only accept as
assignments units which are also part of the Mass domain. Perhaps, if
this logic makes sense at the Category level, an awareness of the
relationships of domains could be encoded. Simplification of base
dimension combinations into derived combinations is a tricky thing to
create a workable interface for - you have to allow the user to say
things like "I want to simplify base units to Energy when possible, but
not to Force" and then allow them to change their minds later. Then if
they want you to simplify to BOTH Energy and Force (not a readily
physical situation but it should be handled since predicting all
meaningful unit combinations is an exercise in futility) you must first
check for Energy, and then Force, else you simplify to Force first and
then don't recognize that Force+remaining base dimensions allows for a
further simplification to Energy. Ideally Axiom would know this, but
it gets tricky because you don't want to ONLY know about simplifying a
dimensional quantity containing Force to Energy - what if the user has
disabled simplifications to Force? You need to be able to recognize
Energy out of "lower level" dimensions as well... The answer to this
in Maxima was to define an "order of searching" for derived dimensions,
and then reduce all expressions internally to base units for the
search. I don't know the best way to approach this in Axiom.
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Tue Aug 23 09:06:28 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7YTw-00073f-GW
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 09:06:24 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7YTq-0006zu-PN
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:06:19 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7YTh-0006ty-AN
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:06:10 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7YTg-0006sd-GG
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:06:08 -0400
Received: from [81.169.145.161] (helo=natfrord.rzone.de)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7YPO-0003FZ-9F
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:01:42 -0400
Received: from [193.170.38.119] (woodpecker.risc.uni-linz.ac.at
[193.170.38.119]) (authenticated bits=0)
by post.webmailer.de (8.13.1/8.13.1) with ESMTP id j7ND0lkA020189;
Tue, 23 Aug 2005 15:00:48 +0200 (MEST)
Message-ID: <430B1E0F.20608@hemmecke.de>
Date: Tue, 23 Aug 2005 15:01:03 +0200
From: Ralf Hemmecke <ralf@hemmecke.de>
User-Agent: Mozilla Thunderbird 1.0 (X11/20041206)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
References: <20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
In-Reply-To: <20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 13:06:22 -0000
Dear C Y,
I think most of the answers you find in the Aldor User Guide.
http://www.aldor.org/AldorUserGuide/
http://www.aldor.org/docs/HTML/index.html
But let me perhaps say a few things in my own words.
>> Mass(R: Ring): Ring == add { ... }
That is nothing else than the definition of a function Mass.
See http://www.aldor.org/docs/HTML/chap6.html
Remember (almost) everything in Aldor is a first class object. So Aldor
allows you to take domains as a parameter and to return a domain. Ring
is a category (in the library Algebra distributed with Aldor) and it is
the type of R. So whenever you want to call Mass(SOMETHING) this
SOMETHING must be of category Ring. That means it has to export all the
functions that show up in the definition of Ring.
(Look for the definition here:
http://www-sop.inria.fr/safir/WHOSWHO/Manuel.Bronstein/algebra/index.html)
>> Mass(T: with { +: (%, %) -> %; *: (%, %) -> %; ... })(R: T): T ==
>> add { ... }
That one is in fact a bit more complicated. It is a function that
returns a function that returns a domain. I think, it would have also
worked if I had written
Mass((T: with {
+: (%, %) -> %;
*: (%, %) -> %;
...
}, R: T): T == add { ... }
(A function with two parameters that returns a domain...)
That goes in Aldor under the name of "dependent type".
http://www.aldor.org/docs/HTML/chap7.html#4
> Units(R: Field): Exports == Implementation where U == Fraction
> Polynomial Integer
>
>
> 1) The syntax (R: Field) - what does this actually denote? R I
> guess is all Rings? I don't know how to parse this statement - is :
> a separator, an indicator that R is being restricted to Field
> (whatever that is) or what? Why is it there at all - I'm assuming it
> has something to do with letting Axiom know about the existence of
> the idea of <something>*Units?
Well that code is from Martin, I guess. But yes, it is intended to say
that this <something> is an element of type R and such an R must at
least have all the field properties (ie the signatures of Field).
That parametrization makes the code more flexible. You could leave out
this (R: Field) stuff and restrict to use Float all over, but then you
would have to implement another domain if you come to the problem that
instead of floats you would also like to allow variables.
> 2) Exports == Implementation - what is actually being exported here,
> and where is it being exported to?
Exports and Implementation come later in the code. You have not given
them here.
> 3) U == Fraction Polynomial Integer I'm assuming this is part of
> the Export - I'm also guessing the $U at the end of the units.spade
> file somehow ties off the domain definition?
coerce((x::Rep).units)$U means "call a function (here coerce) from the
domain U". That is simply to help the compiler. Sometimes it happens
that there is a function f: A->B from domain D1 and f: A->B from D2 in
scope. You would not like the compiler to choose for you. (Aldor would
reject compilation in such a case. You would have to make your
intentions clear by saying f$D1 or f$D2.)
Look for $ on the page http://www.aldor.org/docs/HTML/chap7.html
> 4) What is the significance of "%" within a domain definition?
Simply translate it to THISTYPE. If you say
Foo(T: with {random: () -> %}): with {random: () -> %} == add {
Rep == T;
random(): % == per random();
}
then you could use Foo(Integer) and Foo(MachineInteger) and the % would
in the first occurence be like T (ie Integer or MachineInteger) and in
the second occurence like Foo(T) (ie like Foo(Integer) or
Foo(MachineInteger)). Think of it as a placeholder.
The line
random(): % == per random();
basically says:
in order to define random for Foo(T) use the function random from T.
> 5) Is there a file in the mnt/linux/doc directories somewhere that
> gives a detailed description of the syntax of Axiom's spad code?
Well, unfortunately, spad syntax is not exactly the same as Aldor
syntax. It is reasonably close, but there are things that the Aldor
compiler does not allow. (Which is good.)
Take for example the line
x * y == [(x::Rep).expr * (y::Rep).expr,
(x::Rep).units * (y::Rep).units]
As spad code that would be OK (I have not checked it), as Aldor code it
is unacceptable. You have to give the types for x, y and the return
type, ie you would have to write
(x: %) * (y: %): % == ...
You might say, the compiler should be smart enough to fill in missing
information if it is extractable from the environment. Well, sometimes,
for example, for polynomials you migth want to have a function
(x: R) * (y: %): % ==
where R would be the type of coefficients. Now you have two * functions
and reading the code would be quite confusing if both these functions
start via "x*y==...". I think it is good practice too be a bit more
explicit. (Sometimes it's humans that read the code.)
> What does it mean to define "Exports" from a Category or Domain?
I am not quite sure that I understand the question. In the definition of
> Units(R: Field): Exports == Implementation where
the Exports are the functions/constants you see when Units(...) comes
into scope. I think that is called "expose" in Axiom terms. In Aldor you
would say "import from Units(...);" and then you can use the functions
from Units, ie, its exports without using the $Units(..) syntax.
> Are Exports visible to the user on the command line or do they
> manifest themselves in the parent Category?
What is the parent Category here?
> Each "unit" domain (or more properly, dimension domain that defines a
> non-basic dimension) needs to know enough about the other domains to
> spot significant unit combinations, if we add derived units like
> Force into the picture. (We need to for any non-trivial use of a
> serious Units package.) So if we define a Mass domain, a Length
> domain, and a Time domain can we somehow define a derived domain
> which recognizes and handles the combination Mass*Length/Time^2 as
> Force?
I would opt for a general Unit domain instead of a domain for Mass,
Length, etc. I somehow fear that Mass*Length (id Domain times Domain) is
hard to work with. Implementation should be no problem, but I fear to
convert from such a form into Force could lead to problems. Anyway, such
a Metadomain would know about combinations of the basic domains and you
have a Unit domain again which knows about all units.
Ralf
From MAILER-DAEMON Tue Aug 23 09:38:27 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7Yyv-00015m-Kc
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 09:38:25 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Yyr-00013G-1q
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:38:21 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7Yym-00011L-Hn
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:38:17 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Yyl-0000zd-UO
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:38:15 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7Yrt-00065b-Rv
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:31:10 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7NDSiHw018744;
Tue, 23 Aug 2005 15:29:01 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17163.9248.506621.654924@seam101.local>
Date: Tue, 23 Aug 2005 15:26:56 +0200
To: C Y <smustudent1@yahoo.com>, Bertfried.Fauser@uni-konstanz.de
Subject: Re: [Axiom-developer] Unit package question
In-Reply-To: <20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
References: <17161.49899.173008.240260@seam101.local>
<20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4249; Body=5 Fuz1=5 Fuz2=5
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 13:38:23 -0000
Dear all,
(I'm sending this also to Bertfried, since he was interested at some point)
C Y writes:
> > (Well, that is Aldor syntax, but I hope in can be understood.)
>
> Well, about as well as I understand Axiom's syntax... :-/. I might as well
> ask this up front, and I'm sorry in advance if I missed something obvious
> and/or am proving myself as intelligent as your average rock:
Never ever say something like this. It is *good* to ask questions, and it is
also good to ask stupid questions. Moreover, it is impossible to tell
beforehand whether a question is stupid or not. In my opinion, there are no
stupid questions. (The reason for my saying that stupid questions are good
questions is that very likely 10 other people in the audience will secretely
hope that somebody else will be asking their "stupid" questions. But noone
dares.)
Elsewhere you wrote:
> I'm quite aware these [questions] are an indicator I haven't read and
> understood something I need to, so if someone can point me to the correct
> "Axiom for Dummies" file I'll be only too glad to fade away until I
> understand it properly.
PLEASE DON'T FADE AWAY. WE NEED YOU!
-------------------------------------------------------------------------------
> Is there a tutorial or some such that takes a Category->Domains set of code
> and dissects it essentially character by character, answering all the dumb
> questions?
There is the Aldor user guide: http://www.aldor.org/docs/HTML/index.html which
is very thorough but maybe a little steep, so I think the following approach is
better for a beginning:
> Here are some of the ones floating around in my head which I don't know
> quite how to answer at the moment.
> Taking this example:
>
> Units(R: Field): Exports == Implementation where
> U == Fraction Polynomial Integer
>
> 1) The syntax (R: Field) - what does this actually denote? R I guess is all
> Rings?
No. R is a identifier, a variable in the computer language sense. So the syntax
is
Name0(Name1: Type1, Name2: Type2, ...): NameA == NameB where
and Type1, Type2, ... are Types like
* Field, Ring, ... which are categories, in this case Name1 will be taken by
axiom to denote a domain of category Type1. Example:
------------------------------------------------
Units(R: Field): Exports == Implementation where
------------------------------------------------
R will be some Field from now on. I.e., you can multiply, add and take inverses
of the elements in R.
* Integer, Polynomial Integer, PrimeField 5, ... which are domains, in which
case Name1 will be taken by axiom to denote an element of Type1. Example:
-----------------------------------------------------
SquareMatrix(ndim,R): Exports == Implementation where
ndim : NonNegativeInteger
R : Ring
-----------------------------------------------------
ndim will be a NonNegativeInteger and R a Ring. A valid call would be
0$SquareMatrix(5, Polynomial Integer)
which will give a 0 matrix of dimension 5 with entries (all zero) which are
Polynomials with Integer coefficients. Note that you are allowed to put the
type declaration also after the keyword "where".
Another example
------------------------------------------------
PrimeField(p:PositiveInteger): Exp == Impl where
------------------------------------------------
Here p will be a PositiveInteger. A valid call would be
characteristic()$PrimeField(5)
an invalid call would be
characteristic()$PrimeField(x)
unless x *is* an integer at the time of evaluation.
> 2) Exports == Implementation - what is actually being exported here, and
> where is it being exported to?
"Exports" and "Implementation" are just two identifiers. If you read the
sources, you will sometimes also find
Cat == Capsule
or
Cat == Definition
It seems that writing
Category ==
is reserved for categories.
So the complete syntax is (incomplete, but useful)
Name0(Name1: Type1, Name2: Type2, ...): NameA == NameB where
NameA == with
op1Declaration
op2Declaration
op3Declaration
NameB == add
op1Definition
op2Definition
op3Definition
The keyword
* "==" means: here comes a macro definition
* ":" means: here comes a type declaration
* ":=" means: here comes an assignment.
So we could also write
Name0(Name1: Type1, Name2: Type2, ...): with
op1Declaration
op2Declaration
op3Declaration
== add
op1Definition
op2Definition
op3Definition
except the indentation is then less clear.
The keyword "with" means: here come declarations the user will see. Note that
the with part may be missing. See below.
The keyword "add" means: here come definitions, declarations and assignments
the user will not see.
> 4) What is the significance of "%" within a domain definition?
It means: I am an element of this domain.
> 5) ...
>
> If "Domains" are to be part of a "Category", what responsibilities do the
> Domains have to a) label themselves as being part of a category
This comes just before the "with" part. (If it is present...). An example is
PrimeField(p:PositiveInteger): Exp == Impl where
Exp ==> Join(FiniteFieldCategory,FiniteAlgebraicExtensionField($),_
ConvertibleTo(Integer))
Impl ==> InnerPrimeField(p) add
if not prime?(p)$IntegerPrimesPackage(Integer) then
error "Argument to prime field must be a prime"
Thus: PrimeField will be an element of the categories
FiniteFieldCategory, FiniteAlgebraicExtensionField($), and
ConvertibleTo(Integer)
(all quite reasonable, isn't it? "$" is the same as "%", as far as I know)
It does not have any additional operations exported -- apart from the
operations it inherits from FiniteFieldCategory, FiniteAlgebraicExtensionField
and ConvertibleTo(Integer).
> b) ... Can a Category demand certain abilities or actions be defined for a
> Domain in order for it to be a legal part of the Category?
Yes. ALL operations defined by the category must be implemented. However, you
can define a default implementation in the category itself. For example:
SemiGroup(): Category == SetCategory with
--operations
"*": (%,%) -> % ++ x*y returns the product of x and y.
"**": (%,PositiveInteger) -> % ++ x**n returns the repeated product
++ of x n times, i.e. exponentiation.
"^": (%,PositiveInteger) -> % ++ x^n returns the repeated product
++ of x n times, i.e. exponentiation.
add
import RepeatedSquaring(%)
x:% ** n:PositiveInteger == expt(x,n)
_^(x:%, n:PositiveInteger):% == x ** n
Here you find a default declaration of taking the n-th power that is valid for
SemiGroups. It will be overridden (i.e., implemented differently) by some
domains, of course.
> > The full blown thing would then be
> > a category Units, that has as domains Mass, Time, Length, ... I
> > suppose.
>
> From what little I do understand, I like this idea the best of any so far.
> I would call the category Dimensions, since that's what Mass, Time and
> Length denote - they are not units until a specific quantity like 1 kg, 1
> sec and 1 meter is defined.
To define
a * b
where a is of domain Mass and b of domain Time you probably need the Product
domain. The signature will be (I forgot to say: "++", "+++" and "--" are three
different kinds of comments...
)abb category DIM Dimension
Dimension(F: Field): Category == with
"+": (%, %) -> %
++ elements of units can always be added
"*": (F, %) -> %
++ elements of units can always be multiplied with a scalar
)abb package PRODDIM ProductDimension
ProductDimension(A: Dimension, B: Dimension): Exports == Implementation where
"*": (A, B) -> Product(A, B)
But I'm not yet sure how you can define
a / b
where a is of domain Mass and b of domain Time...
Martin
From MAILER-DAEMON Tue Aug 23 09:38:51 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7YzB-0001E9-4K
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 09:38:41 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7Yyz-00016n-QH
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:38:32 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7Yyn-00011y-Lp
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:38:20 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Yym-0000zd-NK
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:38:17 -0400
Received: from [68.142.201.194] (helo=web31714.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7YrL-00064I-FF
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:30:35 -0400
Received: (qmail 41879 invoked by uid 60001); 23 Aug 2005 13:29:43 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=kpQHEJwiyZRacsJNT0hPZu4NPIigDIbSQzs0gqFlIlJNt+BSOAp6aq6Li15swm4CYYeJQWndnlURAKpyNbnepBvLioJIvJ7FdrYk8gZNzJiMa624XGFCraWqgmr0FMgsLxys3fR2xFYOjJRkMru3giEdm5VfkyjzHlinbMUjYUw=
;
Message-ID: <20050823132943.41877.qmail@web31714.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31714.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 06:29:43 PDT
Date: Tue, 23 Aug 2005 06:29:43 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
To: Ralf Hemmecke <ralf@hemmecke.de>
In-Reply-To: <430B1E0F.20608@hemmecke.de>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 13:38:35 -0000
--- Ralf Hemmecke <ralf@hemmecke.de> wrote:
> Dear C Y,
>
> I think most of the answers you find in the Aldor User Guide.
> http://www.aldor.org/AldorUserGuide/
> http://www.aldor.org/docs/HTML/index.html
OK, I'll take a look. Thanks. (I should note that I don't use Aldor,
just basic Axiom - I tend to stick to open source stuff, so Aldor
specific syntax won't be terribly useful if it's too different from
Axiom's. Is Aldor's syntax a subset of Axiom's?)
[snip interesting stuff I'll need to read carefully]
> > Are Exports visible to the user on the command line or do they
> > manifest themselves in the parent Category?
>
> What is the parent Category here?
I guess I was thinking something like a Category Dimension and the
various Domains (Mass, Length, etc.) as members of that Category.
Sounds like that might not be the right way to work things though.
> I would opt for a general Unit domain instead of a domain for Mass,
> Length, etc. I somehow fear that Mass*Length (id Domain times Domain)
> is hard to work with. Implementation should be no problem, but I
> fear to convert from such a form into Force could lead to problems.
OK. What about this - have two domains, Dimensions and Units. Have
Units depend on Dimensions and define its units in terms of Dimensions.
Is this allowed? This would separate things conceptually and would
probably make things like dimensional analysis much simpler.
> Anyway, such a Metadomain would know about combinations of the
> basic domains and you have a Unit domain again which knows about
> all units.
Heh - good point :-).
Cheers, and thanks!
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Tue Aug 23 10:40:02 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7ZwV-0001X4-4A
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 10:39:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7ZwF-0001Us-Uf
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:39:45 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7Zw6-0001Q3-FD
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:39:37 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7Zw2-0001H7-K6
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:39:33 -0400
Received: from [81.169.145.165] (helo=natsmtp00.rzone.de)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7ZgI-0001ms-Qr
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:23:15 -0400
Received: from [193.170.38.119] (woodpecker.risc.uni-linz.ac.at
[193.170.38.119]) (authenticated bits=0)
by post.webmailer.de (8.13.1/8.13.1) with ESMTP id j7NEMLBJ018452;
Tue, 23 Aug 2005 16:22:21 +0200 (MEST)
Message-ID: <430B312C.8060402@hemmecke.de>
Date: Tue, 23 Aug 2005 16:22:36 +0200
From: Ralf Hemmecke <ralf@hemmecke.de>
User-Agent: Mozilla Thunderbird 1.0 (X11/20041206)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
References: <20050823132943.41877.qmail@web31714.mail.mud.yahoo.com>
In-Reply-To: <20050823132943.41877.qmail@web31714.mail.mud.yahoo.com>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 14:39:57 -0000
Hello Clifford,
> (I should note that I don't use Aldor, just basic Axiom - I tend to
> stick to open source stuff, so Aldor specific syntax won't be
> terribly useful if it's too different from Axiom's. Is Aldor's
> syntax a subset of Axiom's?)
I would rather say that Axiom is the subset. The advantage with Aldor is
that it is a real programming language. You know, it developed from
Axiom and Peter Broadbery even seemed to have opened the stage for
programming extensions of Axioms Algebra library in Aldor (not SPAD).
Aldor is much clearer than SPAD. You will agree on that when you later
have to understand what you once have written in SPAD.
I think you should try to ask Stephen Watt, whether the Aldor compiler
will ever become open source. He claims that there is still some
copyright issues to be solved. But I don't know which. Maybe it helps if
many people ask him for opensourcing it. I would be very much in favour
of it. Peter Broadbery once worked with NAG on Aldor and I think he
could do wonderful things with making the Aldor compiler better. Anyway
at least he could document the code properly that he added to the
compiler. So I rather ask you to help making Aldor free.
>>> Are Exports visible to the user on the command line or do they
>>> manifest themselves in the parent Category?
>>
>> What is the parent Category here?
> I guess I was thinking something like a Category Dimension and the
> various Domains (Mass, Length, etc.) as members of that Category.
> Sounds like that might not be the right way to work things though.
Right. The reason is: what do ALL dimension domains have in common? I
cannot think of a single function, except, maybe "convert".
> OK. What about this - have two domains, Dimensions and Units. Have
> Units depend on Dimensions and define its units in terms of
> Dimensions.
He? Maybe I am missing the difference beteen dimensions and units. What
is what?
> Is this allowed? This would separate things conceptually and would
> probably make things like dimensional analysis much simpler.
Ah, I've heard of dimensional analysis once. That rather checks whether
the type of the result has the correct format. Oh, that somehow seems to
suggest the domain way. But first explain. And maybe let me sleep then a
night about it.
>> Anyway, such a Metadomain would know about combinations of the
>> basic domains and you have a Unit domain again which knows about
>> all units.
> Heh - good point :-).
Well, yes, but as far as I understand you want to distinguish the type
of the units (length, time, mass, etc.). So maybe the metadomain
approach would be a good idea.
Ralf
From MAILER-DAEMON Tue Aug 23 10:44:36 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7a0y-0002j5-BT
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 10:44:36 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7a0v-0002iK-Os
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:44:33 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7a0t-0002hP-Ug
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:44:33 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7ZwU-0001H7-Ee
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:39:58 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7ZY4-0001I4-Lx
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:14:45 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7NECBHw036554;
Tue, 23 Aug 2005 16:12:21 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17163.11855.234744.631638@seam101.local>
Date: Tue, 23 Aug 2005 16:10:23 +0200
To: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Aldor / Axiom
In-Reply-To: <20050823132943.41877.qmail@web31714.mail.mud.yahoo.com>
References: <430B1E0F.20608@hemmecke.de>
<20050823132943.41877.qmail@web31714.mail.mud.yahoo.com>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 14:44:35 -0000
C Y writes:
> I should note that I don't use Aldor, just basic Axiom - I tend to stick to
> open source stuff, so Aldor specific syntax won't be terribly useful if it's
> too different from Axiom's. Is Aldor's syntax a subset of Axiom's?
Aldor and Spad are quite similar. Ralf already pointed out one of the
differences. In Aldor you may choose between "pile" syntax, which is the syntax
used by Spad, i.e., blocks are defined by indentation and C like syntax, where
blocks are defined by pairs of braces. In Spad you have to use "pile" syntax.
You can already write your stuff in Aldor syntax and use it for Axiom. In this
case your file must have the extension .as and you have to have Aldor
installed. Furthermore, you probably need to follow the instructions from the
last comment (by myself) in
http://page.axiom-developer.org/zope/mathaction/37CoAldorFileDoesNotWork
However, Peter Broadbery seems to have updated his patches and distributed them
this week on the list. I did not try them yet.
One big difference between Aldor and Spad is, that Spad only implements a
subset of Aldors grammar. In my opinion, the two most important points are
* dependent types in full generality, i.e., in Axiom the following signature is
currently illegal:
test(n: Integer) -> IntegerMod(n)
In some cases, this is a show stopper, I'd say. Although William Sit has
argued that it can be emulated in Axiom, but I'm not really convinced. If you
look for Marcus Better on the mailing list axiom-math and axiom-developer,
you will find that his question was in the end not answered. (And I still
don't know how to do it...)
* the extend keyword is missing. This is explained in detail by the Aldor
documentation.
Another big difference between Aldor and Axiom are the libraries. Very
unfortunately, the libraries are quite incompatible, as far as I know. So, if
you want to use your program in Axiom, you will need to use the Axiom library,
which is no problem, fortunately.
My sincere hope is that we will somehow be able to make the libraries
converge. This probably means to spend a lot of time thinking about a good
design. I'm quite sure that the Aldor library are better designed, but on the
other hand, a lot of things are missing. So I think we have to look which
domains from Aldor can be integrated in the Axiom type hierarchy. A big
project, which is probably feasible, are the polynomial categories and domains.
However, before this can be done, there is a problem with licensing. We would
need to convince Stephen Watt to free Aldor. I know from private Communication
that Manuel Bronstein was very much in favour of this step, but Stephen Watt
has not been very responsive yet...
If -- alas -- it is not possible to free Aldor, I think the best thing to do
would be to hire a lisp guru who implements the Aldor extension for us. I don't
think that this would be too difficult, and in fact, it would make sense in any
case, whether Aldor becomes free or not.
I suggest that we write a signed petition to Stephen Watt when we come to it.
Martin
From MAILER-DAEMON Tue Aug 23 10:49:06 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7a5I-0004vD-9O
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 10:49:04 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7a5B-0004rn-SI
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:48:58 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7a55-0004oW-9Z
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:48:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7a54-0004lF-S5
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:48:51 -0400
Received: from [81.169.145.166] (helo=natnoddy.rzone.de)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7a27-0003XO-30
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:45:47 -0400
Received: from [193.170.38.119] (woodpecker.risc.uni-linz.ac.at
[193.170.38.119]) (authenticated bits=0)
by post.webmailer.de (8.13.1/8.13.1) with ESMTP id j7NEiqSw010679;
Tue, 23 Aug 2005 16:44:53 +0200 (MEST)
Message-ID: <430B3646.2050205@hemmecke.de>
Date: Tue, 23 Aug 2005 16:44:22 +0200
From: Ralf Hemmecke <ralf@hemmecke.de>
User-Agent: Mozilla Thunderbird 1.0 (X11/20041206)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
References: <20050823120944.94973.qmail@web31706.mail.mud.yahoo.com>
In-Reply-To: <20050823120944.94973.qmail@web31706.mail.mud.yahoo.com>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Cc: "Axiom-Developer \(E-mail\)" <axiom-developer@nongnu.org>
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 14:49:02 -0000
Hello Clifford,
Since I have more Aldor background, I would rather suggest to write the
package as an Aldor library building on libaxiom.al. Maybe you could
even write your code in such an abstract way that it would also compile
against libaldor. That would be great. What I see at the moment is that
you only need multiplication, division and addition or rather partial
addition
+: (%, %) -> Partial % (in Aldor terms)
Union(%, failed) in terms of Axiom (I believe). So the resulting
domain is not a field.
I would opt of _one_ Unit domain that internally stores the different
units in terms of "pivot" units.
>> > Furthermore, you use
>> > U == Fraction Polynomial Integer
>> > as an internal domain and yet do something with it
>> > withUnits: (R, U) -> %
>> > :-( OK, I know your code is just a draft. Sorry.
>> > But I would NEVER export the internal units domain.
>>
>>Of course not. It was only a draft.
> Frighteningly, I don't know why this is obvious. Where do I find out
> why it's obvious?
You certainly know of "information hiding" why would you let a user of
the Units domain want to know its internal representation? Would you as
a _user_ of the Float domain like to know its internal structure. No.
The only thing that is needed is the API, the properties that this
domain has. That is why I said that U should not be seen outside of the
Units domain.
>> > I would rather internally represent the domain as
>> > Fraction DMP(SIbasics, R)
>> > where SIbasics is something like
>> > [kg, s, m, A, K,...]
>> > and put into the exports all the various units, for example,
>> > g: % -- gramm
>> > h: % -- hour
>> > N: % -- Newton
>> > etc.
>>
>> > Internally everything is represented in base units.
>>
>>I think this is unnecessary, I'd simply store the appropriate unit
>>and convert only if conversion is necessary, be it because two
>>elements of different unit are added, be it that the user asks for
>>it.
>
>
> I agree, but the conversion information itself must be stored, and THAT
> information should be encoded internally in terms of some one unit on a
> per-domain basis - it simplifies life tremendously. I call that the
> pivot unit.
As you see below. The implementation of the constant g would be
g: % == 1/1000 * kg
>> > When it comes to printing (coercion to OutputForm) then the
>>internal units
>> > are transformed into the desired units. So one might transform
>>kg*m/s^2 into
>> > printing N instead.
>>
>>Ah, that's maybe a different story. I was talking about keeping
>>centimeters as centimeters...
>
>
> I only want to keep centimeters as centimeters if the "global" length
> unit is set as centimeters, at least in my design. One of the reasons
> to have units in a CAS is to do autoconversion to the units you want.
Hmmm, I still would store internally the units as kg, s, m, etc. If you
really like auto conversion to the units you are interested in than you
would have to make the Units domain to carry a state. Something like,
Units(...): ... == add {
outputUnits: HashTable(String, String) == ["kg", "m", ... ];
setOutputUnit(length, "cm"): String == ...
...
}
(I think String is a bad choice here, but I cannot think of something
better at the moement.)
>> > Hmmm, I just see that my suggestion of Fraction DMP(SIbasics, R)
>> > is stupid. One never wants as a result something like 4*m+5*A. I
>> > cannot imaging that this would be useful.
>>
>>Yes, but it doesn't really matter. AlgebraicNumbers are stored as
>>Expression Integer...
>
>
> Actually, it does matter - Axiom should prevent such an expression from
> being legal at all. If it occurs anywhere, it's an error.
... or it should return a "failed" value see the +: (%, %) -> Partial %
suggestion at the beginning.
> Where's the DMP code? Is it well documented?
Maybe you browse with hyperdoc for DMP. But what I actually meant was,
that something like a DirectProduct or an Array would do for the
implementation of the pivot units. Each unit gets a slot and you store
the corresponding exponent of the unit in that slot. In fact, a good
implementation of Z^n as a monoid is what you want, maybe
Vector(Integer) works.
>>Can it happen that the ratio of two units is irrational?
> Irrational as in an irrational number or irrational as in nonsensical
> or nonphysical? I can't think of a case off hand where this would be
> nonphysical, but that doesn't mean there isn't one. However, until
> proven otherwise, I think the assumption that multiplication and
> division of dimensional quantities is always legal is the correct one
> to proceed on.
Theoretically the ratio could be an irrational number, but any number
written out in decimal form that I have ever seen in my life was
rational. Maybe there is someone who knows of two units that are in
irrational correspondence. What about a \pi meter?
Ralf
From MAILER-DAEMON Tue Aug 23 10:55:07 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7aB7-00080W-Re
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 10:55:06 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7aB2-0007xw-UC
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:55:01 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7aB0-0007vs-BF
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:54:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7aAz-0007v5-Pu
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:54:57 -0400
Received: from [206.46.252.42] (helo=vms042pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7a7G-0004Bf-9m
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 10:51:06 -0400
Received: from cunyvm.cuny.edu ([141.155.160.178])
by vms042.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILO0006CJVO5880@vms042.mailsrvcs.net> for
axiom-developer@nongnu.org; Tue, 23 Aug 2005 09:50:13 -0500 (CDT)
Date: Tue, 23 Aug 2005 10:50:15 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question
To: C Y <smustudent1@yahoo.com>
Message-id: <430B37A7.9A2547D7@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 14:55:03 -0000
Very interesting topic, which I have been following.
I like the idea for a "pivotal unit". What better one to use than the
international system of units (SI)?
http://physics.nist.gov/cuu/Units/
Different schemes for implementation have been proposed, some even coded. I
don't like the idea of having one domain for each dimension (there are 7 base
units listed in SI) because we would then have to have new domains for derived
dimensions like "force". Axiom has a way to handle number systems and I think
the unit systems can follow this number system model which has an
IntegerNumberSystem category with four domains: Integer, RomanNumeral,
MachineInteger, and SingleInteger. So we can have one category UnitSystem, with
domains like CGSSystem, MKSSystem, InternationalSystem, etc, where
InternationalSystem would be the default, and the other systems convert to and
from this. In the UnitSystem category, we specify dimensions, beginning with the
seven basic dimensions (length, mass, time, electric current, thermodynamic
temperature, amount of substance, and luminous intensity) and expanded to
include other derived dimensions. The UnitSystem category should allow a
parameter S:SetCategory. In principal, units are input/output "decorations"
attached to expressions from any set S.
The complications of units come from the conversion factors, which are generally
floating point numbers (and dimensionless). This would be ok if we only deal
with numerical quantities. For symbolic quantities, it is the dimensions that
are more important and conversion factors (not to be confused with universal
physical constants) are seldom used, and universal physical constants are often
denoted by a symbol (such as "g" for acceleration due to gravity) without units.
Thus we should leave symbolic computed expressions alone (that is, in the set S,
even though it is actually in some domain of UnitSystem(S), see below). The
verification of dimension on the two sides of a symbolic equation is not a
simple matter since in the applied sciences, one often "balance" dimension with
a constant of proportionality, for which there is no a priori assignment of
dimension in general. However, we can enforce some degree of verification by our
implementation of dimensions (see below). Acutal units are needed once we pass
from symbolic to numerical computation. Thus we should design the UnitSystem
domains to facilitate such passage. We should have a discussion on what
functionalities are to be included in the UnitSystem category. Here are a few
that comes to mind:
unitMass
unitLength
unitTime
unitCurrent
unitTemp
unitAmount
unitLight
All of the above, and below, functions have signatures similar to:
unitMass:S -> %
and
unitMass(s:S) would declare that the expression s has dimension Mass and unit of
Mass for the domain %: UnitSystem(S). I think this is better than the syntax
s::Mass or s::Kg because it avoids the need for many domains (which would be
difficult to maintain).
A representation for any of the domains of unitMass(s:S) would be
Rep:= Record(value:S, dim:Dimension)
where Dimension would be
Dimension:=Union("Mass", "Length", ...)
and we can provide queries for any expression in % as to its Dimension. (The
Dimension domain can also be expanded than just this mere text implementation,
if there are functions that are needed).
We can add as many as we like for the derived dimensions:
unitArea
unitVolume
unitForce
unitPressure
etc.
As an (conceptual) example of implementation (forgive me for Axiom syntax
errors, I did not bother to look them up), we can have:
if S has Ring then
unitArea(s1:%, s2:%):% ==
if and(s1.dim = "Length", s2.dim = "Length") then
[s1.value * s2.value , "Area"]$Rep
error "Invalid Dimension"
We can have a "pure" declaration:
unitPressure(s:S):% == [s, "Pressure"]$Rep
or a "derived" declaration:
if S has Field then
unitPressure(f:%, a:%):% ==
if and(f.dim = "Force", a.dim = "Area") then
[f/a, "Pressure"]$Rep
We would need to handle outputs of domains of category UnitSystem(S) to make
sure that the units are displayed at the rightmost location, but this is trivial
given the Rep for the domains in this category (see OutputForm for all the
functionality to handle outputs). Notice that all the dimension verifications
can be done by default in UnitSystem category implementations and the actual
domains only need to handle the units for the particular system.
We need a way to include universal constants, the notation of which depends on
the set S.
if S has Field then
unitAcceleration(dv:%, t:%):% == [dv/t, "Acceleration"]$Rep
if S has RetractableTo(Symbol) then
accelerationDueGravity == ['g:Symbol::S, "Acceleration"]$Rep
If S does not have RetractableTo(Symbol), for example S is Float, then we can
use a specific constant such as 9.81 depending on the domain %:UnitSystem
instead of a symbol g.
So far, the above discussion concentrates on the symbolic side. It also
separates conceptually the notions of dimensions vs units. To handle the
numerical side as well as conversion between different unit systems, one can
have a "lift" (functor) category that performs this (much like the coercions
between different types of polynomial domains when the coefficient domains are
mapped):
UnitSystemLifting(US:UnitSystem(S), UT:UnitSystem(T))
would take elements of say, US=CGS(S) to UT=CGS(Float), or to UT=MKS(S). The
exports of this category would contain something like:
convertMass(us:US):UT
convertLength(us:US):UT
The unit conversion factors would be included in such packages and the domain S
should have RetractableTo(Float), or whatever (such as coerced to EXPR FLOAT) to
make sense.
Note that this proposed design allows mixed symbolic-numeric domains for S, such
as POLY FLOAT.
These are just some beginning thoughts, which certainly need serious critique
from all.
William
--
William Sit
Department of Mathematics....Email: wyscc@cunyvm.cuny.edu
City College of New York................Tel: 212-650-5179
Convent Ave at West 138th Street........Fax: 212-862-0004
New York, NY 10031..Axiom, A Scientific Computation Sytem
USA............... http://www.nongnu.org/axiom/index.html
From MAILER-DAEMON Tue Aug 23 11:38:22 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7ar0-0003la-E0
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 11:38:22 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7aqy-0003kp-6U
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:38:20 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7aqw-0003jx-E1
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:38:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7ao9-0002kq-Pu
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:35:26 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7aX4-0006ff-OO
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:17:47 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7NFFWHw058142;
Tue, 23 Aug 2005 17:15:36 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17163.15656.318635.289907@seam101.local>
Date: Tue, 23 Aug 2005 17:13:44 +0200
To: Ralf Hemmecke <ralf@hemmecke.de>
Subject: Re: [Axiom-developer] Unit package question
In-Reply-To: <430B312C.8060402@hemmecke.de>
References: <20050823132943.41877.qmail@web31714.mail.mud.yahoo.com>
<430B312C.8060402@hemmecke.de>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 15:38:20 -0000
Ralf Hemmecke writes:
> Hello Clifford,
>
> I think you should try to ask Stephen Watt, whether the Aldor compiler will
> ever become open source. He claims that there is still some copyright issues
> to be solved. But I don't know which. Maybe it helps if many people ask him
> for opensourcing it.
I think that it is probably better if we speak with one voice instead of asking
Stephen Watt all seperately. I suggest that we draft a letter (maybe in paper)
and all sign it and then send it to Stephen.
Furthermore, I think that we should also ask him to "freeze" the Aldor
spezification. That is: Anything that calls itself Aldor should be an
implementation of the grammar described in the Aldor User Guide.
Martin
From MAILER-DAEMON Tue Aug 23 11:52:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7b59-0008IJ-QW
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 11:52:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7b58-0008Hd-AV
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:52:58 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7b56-0008Gu-JM
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:52:58 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7b3Z-0007kt-V0
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:51:22 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7amb-0007Ym-G7
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:33:49 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7NFQuHw061410;
Tue, 23 Aug 2005 17:27:04 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17163.16340.669851.335390@seam101.local>
Date: Tue, 23 Aug 2005 17:25:08 +0200
To: Ralf Hemmecke <ralf@hemmecke.de>
Subject: Re: [Axiom-developer] Unit package question
In-Reply-To: <430B3646.2050205@hemmecke.de>
References: <20050823120944.94973.qmail@web31706.mail.mud.yahoo.com>
<430B3646.2050205@hemmecke.de>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4249; Body=3 Fuz1=3 Fuz2=3
Cc: "Axiom-Developer \(E-mail\)" <axiom-developer@nongnu.org>
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 15:52:58 -0000
Ralf Hemmecke writes:
> >>Can it happen that the ratio of two units is irrational?
>
> > Irrational as in an irrational number or irrational as in nonsensical
> > or nonphysical?
in the sense irrational number.
> Theoretically the ratio could be an irrational number, but any number
> written out in decimal form that I have ever seen in my life was rational.
Well, that's by definition of rational ...
> Maybe there is someone who knows of two units that are in irrational
> correspondence. What about a \pi meter?
No, that is not an example, since \pi meter is not a unit. Well, I looked at
http://en.wikipedia.org/wiki/Conversion_of_units
So the following are problematic:
* Bohr radius for lenght
* circular mil and circular inch for area
* various conversion between angles
* most of the atomic units.
So very probably, one should somehow allow for an additional scalar factor of
type Expression Integer...
Martin
From MAILER-DAEMON Tue Aug 23 12:10:47 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7bMN-0005fo-3U
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 12:10:47 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7bMJ-0005eN-Sg
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:10:43 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7bMG-0005bo-NG
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:10:42 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7bMF-0005Yd-Od
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:10:39 -0400
Received: from [68.142.201.193] (helo=web31713.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7bFj-0001kM-I6
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:03:55 -0400
Received: (qmail 59692 invoked by uid 60001); 23 Aug 2005 16:03:02 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=FgaB6E/RsUV5AkqxIRqBh+haBcGpcJe+4lrjLhkJwUICtJO7t1Iif8WaL+gGga0v1093fIMAnTj0c9qi/3Q1Rfk93/9G+t5+96lTePgMH7/ZMA3GFSkDCd0ZZ5B3B+F3SaezOX6KCWY4tdA+bLjUzmfVcH0pkcWK3GQncOsFCUg=
;
Message-ID: <20050823160302.59690.qmail@web31713.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31713.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 09:03:02 PDT
Date: Tue, 23 Aug 2005 09:03:02 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
To: Ralf Hemmecke <ralf@hemmecke.de>
In-Reply-To: <430B312C.8060402@hemmecke.de>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 16:10:44 -0000
--- Ralf Hemmecke <ralf@hemmecke.de> wrote:
> Hello Clifford,
>
> Aldor is much clearer than SPAD. You will agree on that when you
> later have to understand what you once have written in SPAD.
Hehe - hence's Tim's focus on literate programming becomes important,
although I note at least some of the dvi files produced by my latest
Axiom compile were less useful than I had hoped and had some rendering
issues. However, it is so incomparibly better than the Maxima source
code situation I'm not dismayed :-).
> I think you should try to ask Stephen Watt, whether the Aldor
> compiler will ever become open source. He claims that there is
> still some copyright issues to be solved. But I don't know which.
> Maybe it helps if many people ask him for opensourcing it. I would
> be very much in favour of it. Peter Broadbery once worked with NAG
> on Aldor and I think he could do wonderful things with making the
> Aldor compiler better. Anyway at least he could document the code
> properly that he added to the compiler. So I rather ask you to help
> making Aldor free.
With pleasure. I like Martin's idea of a petition - getting some big
names on board would help. I had assumed it was impossible - some
communication I remembered from long ago had indicated that there were
commercial ambitions for Aldor and that would preclude open sourcing it
- perhaps I misunderstood or the situation has changed. That would be
very good news indeed.
> > I guess I was thinking something like a Category Dimension and the
> > various Domains (Mass, Length, etc.) as members of that Category.
> > Sounds like that might not be the right way to work things though.
>
> Right. The reason is: what do ALL dimension domains have in common? I
> cannot think of a single function, except, maybe "convert".
Well, yes and no - I agree functions might be limited, but there are
other things. They all have in common the rule that you can only add
dimensions if the dimensions being added are the same. They all have
the same requirement for display formatting - e.g.:
kg*m a
23 ----, 23a N, 25 K, - Ohms, etc.
2 b
s
All metric units share the same prefix convention both for full names
and abbreviations (the programmer in me wants to use that, but I
concede it might be better in the Axiom world not to, though I have not
given up yet). There are rules that work for all units which tell you
what the units would be for operations like integration even if you
don't DO the integration (see Barton Willis's dimensional analysis
package - I'm not sure how formalized those rules are there, but they
do seem useful.) There could be global settings which might
potentially apply to multiple dimensions (like, say, don't use derived
dimensions at all - report everything in base dimensions.) That kind
of thing was why I thought a category might be useful (not fully
understanding the purpose of categories, granted) but if it would make
it hard to multiply dimensions like Mass*Time then it's a bad idea -
the very notion of derived dimensions rests on those operations.
> > OK. What about this - have two domains, Dimensions and Units.
> > Have Units depend on Dimensions and define its units in terms of
> > Dimensions.
>
> He? Maybe I am missing the difference beteen dimensions and units.
> What is what?
A dimension is an abstract concept of a physical property, whereas a
unit is a description of some specific instance or manifestation of
that property. For example, Length is a dimension, meter is a unit
describing the dimension Length. Inch would also be a unit describing
the dimension Length, and because they both describe the same dimension
it is legal to consider things like 2*meters+3*inches. By the same
token, Mass is a dimension, kg is a unit describing the dimension Mass,
and a slug is also a unit describing the dimension Mass. So
3*kg+2*slugs has meaning, because the dimension of both terms being
added is the same. However, 3*kg+2*meters is not legal, because
although both are units the dimensions each of those units are
describing a DIFFERENT dimension.
Also, let's consider the equation for parabolic motion:
x = x0+v0*t+1/2*a*t^2
We know that x and x0 describe distance (e.g. Length), t describes
Time, v0 describes Velocity, which is a derived dimension defined as
Length divided by Time, and a is an Acceleration is a derived
dimension, defined in terms of another derived dimension (Velocity)
divided by Time, or more fundamentally as Length divided by Time
divided by Time.
We know all this, but if we were to USE this equation we would input
quantities with units, such as 4*m, 5*hrs, 45*km/s, 9.8*m/s^2, etc.
But we can use ANY units - equally legal would be 4*yottameters,
5*eons, 45*inches/minute, 10*miles/day^2, etc. Indeed, it is not
uncommon to have some physical constant or experimental data in
inconvenient units - one of the primary purposes of a units package is
to do all the annoying work for you. So what you want to do is define
your equation, and define the dimension (NOT the units) of the
variables used. This prevents x0 being assigned 5*kg, but will allow
any unit which makes physical sense to be used successfully. A
variable has no concept of what unit it is in most physics equations,
for example, and it isn't supposed to know that. Perhaps constraining
a variable to a specific unit for display could be implimented, but the
check to make there is that it can be converted to the correct unit and
perform this operation automatically. A second option/setting could be
to accept only a form described in the correct unit, e.g. a*meters for
a variable x with set unit meters. I can see the latter being useful
only to prevent accidental entry of incorrect data, but it might be
useful for that. Conceptually I would prefer to allow variables to
only know their dimension by default, and require a specific override
on a per variable basis for other behavior, for two reasons:
1) This allows a global setting to govern the reported units for all
variables, which I think is useful. If we want to be able to override
this for specific variables I suppose that would be OK (and maybe even
valuable) but I would much prefer the default to be that all
dimensional quantities be reported in the global unit I specify for
that dimension.
2) It works against the temptation to allow a user from inputing only
a number to a variable and getting a dimensional quantity back. One of
the biggest problems in introductory labs (and sometimes well beyond
that!) is people who don't write units down. Sometimes they don't even
KNOW the units, and are just trying to get by without doing the extra
research and figuring out what they are. (Textbooks sometimes are
unhelpful in this regard, in my experience, so the habit is to be lazy,
manipulate the numbers, and assume everything worked.) Implimented the
way I have described, a unit will never get automatically assigned to
anything unless a user specifically sets that up, and to do that they
have to know what unit they want. E.g. even if we define x as meters
and only meters are allowed for assignment, x := 30 is still rejected
as an error. x := 30 should never be a legal assignment for any kind
of dimensional variable, regardless of settings.
I think what people are doing, when they say they want to describe the
variable x as being in meters, is that they want the CAS to know x is a
length and to always display it's value in meters. That I can agree
with, but I would suggest that if such a feature is implimented it be
in such a way that it does NOT accept x := 30 as being an assignment of
the value of 30*m to the variable x. This is exceptionally bad
practice and should be disallowed. I prefer that something like the
following be put in place:
DefineDimension(variable, dimension) : This will associate a given
dimension with a variable. I would suggest that x::dimension be
configured to do this, as well.
DefineDisplayUnit(variable, unit): This will a) automatically assign x
the dimension Length, and b) instruct Axiom to always convert a
displayed value of x into meters, whatever units it was assigned in or
the global settings tell it to display. I'm not sure if x::unit is a
good idea or not, but probably should be done for consistency.
Documentation would have to train people to use the more general
x::dimension if they want global unit settings to be workable.
DefineAssignableUnit(variable, unit): This will allow assignments to
this variable ONLY if the form being assigned is of the form
variable*unit where unit matches the expected unit of the variable. It
should not enable an assignment without specifying unit. Perhaps it
should set the output flag of DefineDisplayUnit as well, or best of all
a flag could control whether it does or not, with the default being
yes.
Does this seem to make sense?
> Ah, I've heard of dimensional analysis once. That rather checks
> whether the type of the result has the correct format. Oh, that
> somehow seems to suggest the domain way. But first explain. And
> maybe let me sleep then a night about it.
Hopefully the above outlines it - "dimensions are what units describe"
is probably the shortest way to put it I know. units can share a
dimension, dimensions do not share units. Dimensional analysis will
report the dimension of an expression, not the units of that expression
(e.g. Time instead of minutes). It is useful for checking that an
equation gives you the type of dimension you expect - for example if
you define F=ma and dimensional analysis of F gives you Energy, you
know you goofed somewhere (this is less obvious sometimes with units,
particularly in complex cases.) It also is useful for giving you an
idea of what some quantities in science actually correspond to
physically (also often not as obvious and would be nice.)
Hopefully I'm thinking about all this correctly. Most people never
need to delve into the nature of units like this - or maybe most other
science types figured this out sooner and more easily than I did,
assuming I've got it right. Either way, a units package in Axiom will
make it all explicit and documented, if done correctly :-).
> Well, yes, but as far as I understand you want to distinguish the
> type of the units (length, time, mass, etc.). So maybe the
> metadomain approach would be a good idea.
Distinguishing the type of the units is essential for knowing what
legal operations for "+" are, just for starters. This is where my
knowledge of Axiom is too limited to know what the good mappings are -
hopefully that will emerge. I'm pretty sure there IS a good mapping -
it just needs to be hammered out :-).
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Tue Aug 23 12:38:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7bnf-0004mD-30
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 12:38:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7bnc-0004lF-7u
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:38:56 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7bnX-0004jm-Q9
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:38:55 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7bkG-0003UU-C3
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:35:28 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7bMx-0002Zg-7b
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:11:23 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7NGA2Hw073597;
Tue, 23 Aug 2005 18:10:09 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17163.18926.229437.250646@seam101.local>
Date: Tue, 23 Aug 2005 18:08:14 +0200
To: wyscc@cunyvm.cuny.edu
Subject: Re: [Axiom-developer] Unit package question
In-Reply-To: <430B37A7.9A2547D7@cunyvm.cuny.edu>
References: <20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
<430B37A7.9A2547D7@cunyvm.cuny.edu>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=5 Fuz1=5 Fuz2=5
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 16:38:56 -0000
William Sit writes:
> The complications of units come from the conversion factors, which are generally
> floating point numbers (and dimensionless). This would be ok if we only deal
> with numerical quantities. For symbolic quantities, it is the dimensions that
> are more important and conversion factors (not to be confused with universal
> physical constants) are seldom used, and universal physical constants are often
> denoted by a symbol (such as "g" for acceleration due to gravity) without units.
> Thus we should leave symbolic computed expressions alone (that is, in the set S,
> even though it is actually in some domain of UnitSystem(S), see below).
...
> A representation for any of the domains of unitMass(s:S) would be
>
> Rep:= Record(value:S, dim:Dimension)
>
> where Dimension would be
>
> Dimension:=Union("Mass", "Length", ...)
This would not allow for Length/Time
> We need a way to include universal constants, the notation of which depends on
> the set S.
>
> if S has Field then
> unitAcceleration(dv:%, t:%):% == [dv/t, "Acceleration"]$Rep
> if S has RetractableTo(Symbol) then
> accelerationDueGravity == ['g:Symbol::S, "Acceleration"]$Rep
>
> If S does not have RetractableTo(Symbol), for example S is Float, then we
> can use a specific constant such as 9.81 depending on the domain
> %:UnitSystem instead of a symbol g.
This is a nice idea. However, very probably we also need the case of S being
Fraction Integer. So, as I said in my previous post, we may need to allow for a
scalar factor of domain EXPR INT to accomodate constants which cannot be thrown
into S, thus we'd have
Rep:= Record(value:S, constant: Constant, dim:Dimension)
where Constant would be something like Fraction Polynomial Integer, with all
coefficients equal to one...
Martin
From MAILER-DAEMON Tue Aug 23 12:39:56 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7boa-0005Dw-1Q
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 12:39:56 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7bjv-0003f4-7n
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:35:09 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7bjg-0003YM-5x
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:34:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7bjd-0003UU-Ay
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:34:49 -0400
Received: from [68.142.201.194] (helo=web31714.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7bXx-000344-4J
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 12:22:45 -0400
Received: (qmail 89371 invoked by uid 60001); 23 Aug 2005 16:21:51 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=KiZz8RvkMIlNSQ+D5CK/xc/V0quYvEuXcOIysDQHgykU8ah/OsnC5RTz3z6AyBkqVY1Yc6nZoPXpSkPVQfbJ0MJ+ZyWGLSXFJSoL2GAYTsDTfTrBxMYNxxK1yIpdOtKSbfiJllirLCwmaW7/SIiIuhTFAdrDNd6U/csK9dQcZgo=
;
Message-ID: <20050823162151.89369.qmail@web31714.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31714.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 09:21:51 PDT
Date: Tue, 23 Aug 2005 09:21:51 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
To: Martin Rubey <martin.rubey@univie.ac.at>, Ralf Hemmecke <ralf@hemmecke.de>
In-Reply-To: <17163.15656.318635.289907@seam101.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 16:39:54 -0000
--- Martin Rubey <martin.rubey@univie.ac.at> wrote:
> I think that it is probably better if we speak with one voice
> instead of asking Stephen Watt all seperately. I suggest that we
> draft a letter (maybe in paper) and all sign it and then send it
> to Stephen.
Sounds good to me. That oughta be an interesting postage trail :-).
So it doesn't get lost in the shuffle, who writes it?
> Furthermore, I think that we should also ask him to "freeze" the
> Aldor spezification. That is: Anything that calls itself Aldor
> should be an implementation of the grammar described in the Aldor
> User Guide.
Sorta like Java - in order to use the Java trademark Sun insists you
qualify as Java according to the specs? Sounds good to me! Is Aldor
trademarked?
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Tue Aug 23 13:06:24 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7cEB-0005Qn-9o
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 13:06:23 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7cE1-0005ON-9i
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 13:06:13 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7cDw-0005La-BJ
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 13:06:09 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7cDu-0005K8-PP
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 13:06:06 -0400
Received: from [206.46.252.40] (helo=vms040pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7c8g-0005vb-7d
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 13:00:42 -0400
Received: from cunyvm.cuny.edu ([141.155.160.178])
by vms040.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILO004V7PVGJE01@vms040.mailsrvcs.net> for
axiom-developer@nongnu.org; Tue, 23 Aug 2005 11:59:41 -0500 (CDT)
Date: Tue, 23 Aug 2005 12:59:43 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question
To: Martin Rubey <martin.rubey@univie.ac.at>
Message-id: <430B55FF.DEE48FF@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050823113640.73950.qmail@web31701.mail.mud.yahoo.com>
<430B37A7.9A2547D7@cunyvm.cuny.edu>
<17163.18926.229437.250646@seam101.local>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 17:06:15 -0000
Martin Rubey wrote:
>
> William Sit writes:
> > A representation for any of the domains of unitMass(s:S) would be
> >
> > Rep:= Record(value:S, dim:Dimension)
> >
> > where Dimension would be
> >
> > Dimension:=Union("Mass", "Length", ...)
>
> This would not allow for Length/Time
You can add (among the ...) "Velocity" (I already used "Acceleration" in the
examples). Also, we can expand Dimension to a fuller domain that can do
arithmetic, and equating Length/Time as Velocity (but notice that there are
cases where the fundamental units are the same, but the physical derived unit
can have multiple meaning: Length*Force can be Work or Moment, so dimensions
should not be confused with their component basic dimensions).
> > We need a way to include universal constants, the notation of which depends on
> > the set S.
> >
> > if S has Field then
> > unitAcceleration(dv:%, t:%):% == [dv/t, "Acceleration"]$Rep
> > if S has RetractableTo(Symbol) then
> > accelerationDueGravity == ['g:Symbol::S, "Acceleration"]$Rep
> >
> > If S does not have RetractableTo(Symbol), for example S is Float, then we
> > can use a specific constant such as 9.81 depending on the domain
> > %:UnitSystem instead of a symbol g.
>
> This is a nice idea. However, very probably we also need the case of S being
> Fraction Integer. So, as I said in my previous post, we may need to allow for a
> scalar factor of domain EXPR INT to accomodate constants which cannot be thrown
> into S, thus we'd have
>
> Rep:= Record(value:S, constant: Constant, dim:Dimension)
>
> where Constant would be something like Fraction Polynomial Integer, with all
> coefficients equal to one...
I do not follow the role of constant in the above syntax.
The "lift" category I proposed can handle this (by enlarging S when needed).
Meanwhile, S most likely should have RetractableTo(Symbol) and hence we can use
symbolic constants within S. My proposal is to delay all the floating point
computations to the end, in a chosen unit system like CGS, and to do those
computations and displays in CGS(Float).
Moreover, derived dimensions (involving arithmetic of basic dimensions) should
only be allowed to be attached to a value domain S if S has the corresponding
operations.
I don't think the use of mixed unit systems in an expression should be
encouraged: one should not encourage the use of 3 meter + 5 feet (not even 3
meter + 10 kilometer) because the answer must be either in feet or in meter or
something else, but only one unit. So the way to handle mixed unit expression
should be to first convert say 5 feet to meter before addition. I would not
worry about such expressions since that is not "scientific" (Axiom: The
Scientific Computation System).
To repeat, my view of units is that units are "decorations" to be handled in the
domains of UnitCategory(S), using a fixed unit system, and by coercion to
OutputForm;and one should adhere to the standards as given by:
http://physics.nist.gov/Document/checklist.pdf
William
From MAILER-DAEMON Tue Aug 23 14:36:37 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7ddU-0007oj-PT
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 14:36:36 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7ddS-0007mR-MA
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 14:36:35 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7ddQ-0007kl-GY
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 14:36:32 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7ddP-0007j5-Rr
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 14:36:31 -0400
Received: from [68.142.201.194] (helo=web31714.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7dZT-0003LY-CB
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 14:32:27 -0400
Received: (qmail 24578 invoked by uid 60001); 23 Aug 2005 18:31:32 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=hy0DxZrTA5GYIzhMUGqjGHLZHZVZDAX0LPNAxKoSHcA+twgMxhaYjPrBS94KTC5gWV+TVfgt7ZacuHzLK1hSPs7xVi7kOngNVTH4W7dAh0HU1zMq5OJ56I9fwEp/bSMRBEWqkZ3ZfHMYyhLSnNsw4cG/WugORrZD/zB3GSHyPPc=
;
Message-ID: <20050823183132.24576.qmail@web31714.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31714.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 11:31:32 PDT
Date: Tue, 23 Aug 2005 11:31:32 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430B37A7.9A2547D7@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 18:36:35 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> Very interesting topic, which I have been following.
>
> I like the idea for a "pivotal unit". What better one to use than the
> international system of units (SI)?
>
> http://physics.nist.gov/cuu/Units/
Sounds good to me. The only fly in the ointment is kilograms for mass,
but this can be handled. (It might not be an issue if we don't
automate metric prefixes anyway.)
BTY, what is the actual difference between SI and MKS?
> Different schemes for implementation have been proposed, some even
> coded. I don't like the idea of having one domain for each
> dimension (there are 7 base units listed in SI) because we would
> then have to have new domains for derived dimensions like "force".
Is that a bad thing, necessarily? I know there are a fair number of
derived dimensions, but I think it's on the order of 10^1, not 10^2 or
10^3. That way we can deal with any quirks on a per-dimension basis,
which would be conceptually a good match with the "real world." Are
there reasons it's a bad idea to define large numbers of domains in
Axiom?
> Axiom has a way to handle number systems and I think
> the unit systems can follow this number system model which has an
> IntegerNumberSystem category with four domains: Integer,
> RomanNumeral, MachineInteger, and SingleInteger. So we can have
> one category UnitSystem, with domains like CGSSystem, MKSSystem,
> InternationalSystem, etc, where InternationalSystem would be the
> default, and the other systems convert to and from this.
I like this as a user option, but I'm wary of it as a fundamental
structuring mechanism - what about the case where a user finds it
convenient to adjust dimension to a custom default, say wanting Length
to be displayed as nanometers by default instead of meters, but leave
most SI units in place? (I do understand and agree with the appeal of
this as a way to group definitions of units in terms of SI units - it
does organize that well.) Where do we put definitions for units not an
official part of SI or one of the other systems? What if (for whatever
reason) someone wants to mix and match CGS and MKS over the various
dimensions - what mechanism do we use? I don't think we want to
restrict that behavior - it might be unusual but can't really be called
bad practice, since having whatever units happen to be intuitive
available is perfectly legit, especially when the tools exist (or will
exist ;-) to automatically standardize all units for publication :-).
> In the UnitSystem category, we specify dimensions,
> beginning with the seven basic dimensions (length, mass, time,
> electric current, thermodynamic temperature, amount of substance,
> and luminous intensity) and expanded to include other derived
> dimensions. The UnitSystem category should allow a parameter
> S:SetCategory. In principal, units are input/output "decorations"
> attached to expressions from any set S.
Hmm. So instead of domains, we specify the existance of dimensions in
the category definition, and then create domains based around standard
measurement systems which must provide unit definitions for all defined
domains in their category?
> The complications of units come from the conversion factors, which
> are generally floating point numbers (and dimensionless). This
> would be ok if we only deal with numerical quantities. For symbolic
> quantities, it is the dimensions that are more important and
> conversion factors (not to be confused with universal physical
> constants) are seldom used, and universal physical constants
> are often denoted by a symbol (such as "g" for acceleration due to
> gravity) without units.
Yes, I hadn't gotten to physical constants yet - I figured Units should
be in place first :-).
> Thus we should leave symbolic computed expressions alone (that is,
> in the set S, even though it is actually in some domain of
> UnitSystem(S), see below). The verification of dimension on the two
> sides of a symbolic equation is not a simple matter since in the
> applied sciences, one often "balance" dimension with
> a constant of proportionality, for which there is no a priori
> assignment of dimension in general.
Hmm. Did you have an example in mind? Sometimes that helps.
Are you referring to the problem that some combinations of units that
will occurr will not map to a derived dimension? We must allow for
expressions which are composed of the product of base and derived
dimensions - that's inevitable. Does that pose a problem?
If you're looking to determine dimensional equality, the best way I
know is to reduce everything to the seven base dimensions and simplify.
That might be a bit more CPU intensive than taking shortcuts in the
case of complex expressions, but it is the most general way I know of
and has the best chance of succeeding in general.
[snip]
> unitMass(s:S) would declare that the expression s has dimension Mass
> and unit of Mass for the domain %: UnitSystem(S). I think this is
> better than the syntax s::Mass or s::Kg because it avoids the need
> for many domains (which would be difficult to maintain).
I guess I'm not understanding the difficulty of maintaining domains -
unless there would be problems setting it up, wouldn't it be a one time
effort to create the domains and then occasional additions and unit
definition updates?
[snip]
> So far, the above discussion concentrates on the symbolic side. It
> also separates conceptually the notions of dimensions vs units. To
> handle the numerical side as well as conversion between different
> unit systems, one can have a "lift" (functor) category that
> performs this (much like the coercions between different types of
> polynomial domains when the coefficient domains are mapped):
>
> UnitSystemLifting(US:UnitSystem(S), UT:UnitSystem(T))
>
> would take elements of say, US=CGS(S) to UT=CGS(Float), or to
> UT=MKS(S).
This works for things contained in systems, but what about
piecemeal/custom setups?
> These are just some beginning thoughts, which certainly need serious
> critique from all.
I like a lot of these ideas, I guess I'm just confused by your
adversion to domains - or rather, I don't fully understand the
difficulties associated with them. What do we gain by defining
dimensions in the Category, instead of doing the dimensions as domains
and defining the unit systems in terms of specific unit choices for
available dimensions?
Just curious - lord knows I'm not informed enough to critique :-).
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Tue Aug 23 15:14:31 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7eEB-0008U4-EP
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 15:14:31 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7eEA-0008TP-3Z
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 15:14:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7e7D-0006Qp-Uz
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 15:07:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7e7D-00067o-AR
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 15:07:19 -0400
Received: from [68.142.201.181] (helo=web31701.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7dl2-00047d-EV
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 14:44:24 -0400
Received: (qmail 85308 invoked by uid 60001); 23 Aug 2005 18:43:28 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=ovCmWMYVPPUdR6VlHEaq9ua3KtPXwFF7CGFME+sTrwrFvsXX4NDhlcHoG3D8ONHMkuEWH06NqgRrjJadTejwebSzr0mjYX+7dlVXC0U+frXbP6AMPRf/xon6AvHBAM8XBlV60mCdIjPHpy8TcoW0UV9ccEuMhxD9zU9t4YYhyBM=
;
Message-ID: <20050823184328.85306.qmail@web31701.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31701.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 11:43:28 PDT
Date: Tue, 23 Aug 2005 11:43:28 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
To: wyscc@cunyvm.cuny.edu, Martin Rubey <martin.rubey@univie.ac.at>
In-Reply-To: <430B55FF.DEE48FF@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 19:14:30 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
>
> Martin Rubey wrote:
> > This would not allow for Length/Time
>
> You can add (among the ...) "Velocity" (I already used
> "Acceleration" in the examples). Also, we can expand Dimension
> to a fuller domain that can do arithmetic, and equating Length/Time
> as Velocity (but notice that there are cases where the fundamental
> units are the same, but the physical derived unit can have multiple
> meaning: Length*Force can be Work or Moment, so dimensions
> should not be confused with their component basic dimensions).
That's a good point, but the distinction is most definitely based on
circumstance. What would we do if someone assigns or enters a
non-dimensionally-unique unit? Or one falls out of a calculation? How
do we do dimensional analysis? (For that matter, how would that be
handled in the "real world" - are Work and Moment in some sense the
same thing? If not, how can the difference be expressed?)
> I don't think the use of mixed unit systems in an expression should
> be encouraged: one should not encourage the use of 3 meter + 5 feet
> (not even 3 meter + 10 kilometer) because the answer must be either
> in feet or in meter or something else, but only one unit.
Right. I don't understand the difficulty here - the only place mixed
unit systems would be likely to occur is in an input, and the first
thing to do will be to convert them to standard units. We want people
to be able to enter 3 meter + 5 feed and get x meters out - that's one
of the things a unit package is good for!
> So the way to handle mixed unit expression should be to first
> convert say 5 feet to meter before addition. I would not
> worry about such expressions since that is not "scientific" (Axiom:
> The Scientific Computation System).
Do you mean worry about preserving them interally or as output? If so,
I agree. As input, they should be legal if dimensionally legal and
converted internally to useful form.
> To repeat, my view of units is that units are "decorations" to be
> handled in the domains of UnitCategory(S), using a fixed unit
> system, and by coercion to OutputForm;and one should adhere to the
> standards as given by:
>
> http://physics.nist.gov/Document/checklist.pdf
Absolutely agree. In fact, we should incorporate that document and/or
other relevant documentation into our eventual coding of the output
logic for units, IMO.
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Tue Aug 23 18:11:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7gzr-0006c3-Al
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 18:11:56 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7gy8-0006Bd-BU
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:10:09 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7gxy-000653-Vk
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:10:04 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7gxv-000614-Tm
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:09:55 -0400
Received: from [206.46.252.48] (helo=vms048pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7go9-00021R-HC
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 17:59:49 -0400
Received: from cunyvm.cuny.edu ([141.155.160.178])
by vms048.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILP00FRC3Q31GP1@vms048.mailsrvcs.net> for
axiom-developer@nongnu.org; Tue, 23 Aug 2005 16:58:52 -0500 (CDT)
Date: Tue, 23 Aug 2005 17:58:54 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question
To: C Y <smustudent1@yahoo.com>
Message-id: <430B9C1E.CD8C6219@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050823183132.24576.qmail@web31714.mail.mud.yahoo.com>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 22:11:54 -0000
C Y wrote:
>
> --- William Sit <wyscc@cunyvm.cuny.edu> wrote:
>
> > Very interesting topic, which I have been following.
> >
> > I like the idea for a "pivotal unit". What better one to use than the
> > international system of units (SI)?
> >
> > http://physics.nist.gov/cuu/Units/
>
> Sounds good to me. The only fly in the ointment is kilograms for mass,
> but this can be handled. (It might not be an issue if we don't
> automate metric prefixes anyway.)
>
> BTY, what is the actual difference between SI and MKS?
I have not researched the difference, but that is a minor point in terms of
implementation design.
> > Different schemes for implementation have been proposed, some even
> > coded. I don't like the idea of having one domain for each
> > dimension (there are 7 base units listed in SI) because we would
> > then have to have new domains for derived dimensions like "force".
>
> Is that a bad thing, necessarily? I know there are a fair number of
> derived dimensions, but I think it's on the order of 10^1, not 10^2 or
> 10^3. That way we can deal with any quirks on a per-dimension basis,
> which would be conceptually a good match with the "real world." Are
> there reasons it's a bad idea to define large numbers of domains in
> Axiom?
Yes Axiom can handle lots of domains, but that does not mean we HAVE to use one
domain for every physical quantity. See the SI pages for all the quantities.
Also separating the physical quantities into its own domain will cause a lot of
unnecessary coercions and since derived dimensions are obtained with arithmetic
operations, a domain like Force may not support that.
> > Axiom has a way to handle number systems and I think
> > the unit systems can follow this number system model which has an
> > IntegerNumberSystem category with four domains: Integer,
> > RomanNumeral, MachineInteger, and SingleInteger. So we can have
> > one category UnitSystem, with domains like CGSSystem, MKSSystem,
> > InternationalSystem, etc, where InternationalSystem would be the
> > default, and the other systems convert to and from this.
>
> I like this as a user option, but I'm wary of it as a fundamental
> structuring mechanism - what about the case where a user finds it
> convenient to adjust dimension to a custom default, say wanting Length
> to be displayed as nanometers by default instead of meters, but leave
> most SI units in place?
That is no problem at all. A user can create his/her own unit system domain by
modifying the implemented code for SI or CGS, or whatever. The user unit system
can mix units if that is preferred. The only restriction is that in symbolic
computation, that is, in equations involving physical quantity, the actual unit
should NOT be part of the equation, and if it is dimensionally balanced (all
additive terms have the same physical dimension -- but this is not sufficient,
you should not add Work to Moment), then the units can be handled in the unit
domains by modifying the coercions to OutputForm. For example, if "us"
represents a value s with dimension "Force", and one wants to output "Force" in
lb cm/hr^2, then one can have (syntax of Axiom need not be correct):
coerce(us:MyUnitSystemDomain)==
...
(dimension(us) case "Force") =>
factor := ...
hconcat(value(us)*factor::OutputForm, "lb cm/hr^2"::OutputForm)
...
where factor is to be computed depending on the (input) units for mass, length
and time in this domain (which NEED NOT be lb, cm, hr respectively). It can also
be handled by the "lift" packages that provides similar coercions. In other
words, units for each physical quantity does not have to be (but CAN be) derived
from the units of the basic dimensions. Let the coerce function handle all the
conversions.
> (I do understand and agree with the appeal of
> this as a way to group definitions of units in terms of SI units - it
> does organize that well.) Where do we put definitions for units not an
> official part of SI or one of the other systems? What if (for whatever
> reason) someone wants to mix and match CGS and MKS over the various
> dimensions - what mechanism do we use? I don't think we want to
> restrict that behavior - it might be unusual but can't really be called
> bad practice, since having whatever units happen to be intuitive
> available is perfectly legit, especially when the tools exist (or will
> exist ;-) to automatically standardize all units for publication :-).
See above example.
> > In the UnitSystem category, we specify dimensions,
> > beginning with the seven basic dimensions (length, mass, time,
> > electric current, thermodynamic temperature, amount of substance,
> > and luminous intensity) and expanded to include other derived
> > dimensions. The UnitSystem category should allow a parameter
> > S:SetCategory. In principal, units are input/output "decorations"
> > attached to expressions from any set S.
>
> Hmm. So instead of domains, we specify the existance of dimensions in
> the category definition, and then create domains based around standard
> measurement systems which must provide unit definitions for all defined
> domains in their category?
Yes. A unit system should be coherent (even though this proposed set up will
allow unconventional systems) and Axiom should provide the common ones like CGS,
MKS, FPS (foot-lb-sec). Users can then modify one closest to their liking and
customize it. Other users can then write other domains in categorical terms if
dimensions are involved by referring to UnitSystem category.
> > The complications of units come from the conversion factors, which
> > are generally floating point numbers (and dimensionless). This
> > would be ok if we only deal with numerical quantities. For symbolic
> > quantities, it is the dimensions that are more important and
> > conversion factors (not to be confused with universal physical
> > constants) are seldom used, and universal physical constants
> > are often denoted by a symbol (such as "g" for acceleration due to
> > gravity) without units.
>
> Yes, I hadn't gotten to physical constants yet - I figured Units should
> be in place first :-).
Physical constants are an integral part. Pi is a good example that appears in
many physical formulae.
> > Thus we should leave symbolic computed expressions alone (that is,
> > in the set S, even though it is actually in some domain of
> > UnitSystem(S), see below). The verification of dimension on the two
> > sides of a symbolic equation is not a simple matter since in the
> > applied sciences, one often "balance" dimension with
> > a constant of proportionality, for which there is no a priori
> > assignment of dimension in general.
>
> Hmm. Did you have an example in mind? Sometimes that helps.
How about Weight = Mass * AccelerationDueGravity and
Circumference = Pi * Radius?
Both AccelerationDueGravity and Pi are considered constants (which is correct
only when each is converted to a numerical value after chosing a unit system):
but the first has a dimension of "Acceleration" and the second is dimensionless
(Dimension domain should include "None" in the Union("Mass", etc)).
Another example is specific heat c, defined by the equation: Q = c m dT, giving
c a dimension of energy/(mass * temp). The only way to find the dimension of
such a quantity in general is by "solving" (dimension analysis) but that only
provides the answer in terms of basic dimensions.
> Are you referring to the problem that some combinations of units that
> will occurr will not map to a derived dimension? We must allow for
> expressions which are composed of the product of base and derived
> dimensions - that's inevitable. Does that pose a problem?
There is no one-to-one conversion from rational expressions of basic dimensions
to physical quantities. When possible, the physical name of the dimension should
be retained (so moment cannot be confused with work; this also remind me that we
should separate scalar quantites from vector quantities).
> If you're looking to determine dimensional equality, the best way I
> know is to reduce everything to the seven base dimensions and simplify.
> That might be a bit more CPU intensive than taking shortcuts in the
> case of complex expressions, but it is the most general way I know of
> and has the best chance of succeeding in general.
Agreed, but see above.
> > unitMass(s:S) would declare that the expression s has dimension Mass
> > and unit of Mass for the domain %: UnitSystem(S). I think this is
> > better than the syntax s::Mass or s::Kg because it avoids the need
> > for many domains (which would be difficult to maintain).
>
> I guess I'm not understanding the difficulty of maintaining domains -
> unless there would be problems setting it up, wouldn't it be a one time
> effort to create the domains and then occasional additions and unit
> definition updates?
The reason against separate domains for each physical quantity (dimension in
this sense) is not just because there are lots of them, but because it would be
difficult to spell out the interrelationships and to create new ones. Yes,
everything is a one time effort, except when it comes to being used.
I suppose if there is no consensus, then we would have to implement with
different designs. Axiom can support that with no problem.
> > So far, the above discussion concentrates on the symbolic side. It
> > also separates conceptually the notions of dimensions vs units. To
> > handle the numerical side as well as conversion between different
> > unit systems, one can have a "lift" (functor) category that
> > performs this (much like the coercions between different types of
> > polynomial domains when the coefficient domains are mapped):
> >
> > UnitSystemLifting(US:UnitSystem(S), UT:UnitSystem(T))
> >
> > would take elements of say, US=CGS(S) to UT=CGS(Float), or to
> > UT=MKS(S).
>
> This works for things contained in systems, but what about
> piecemeal/custom setups?
I don't follow your question. I already explained above how anyone can design
his/her own unit system in the setup proposed.
> > These are just some beginning thoughts, which certainly need serious
> > critique from all.
>
> I like a lot of these ideas, I guess I'm just confused by your
> adversion to domains - or rather, I don't fully understand the
> difficulties associated with them. What do we gain by defining
> dimensions in the Category, instead of doing the dimensions as domains
> and defining the unit systems in terms of specific unit choices for
> available dimensions?
I don't know the difficulties about many domains either, since I have not tried
to implement them. I only have a hunch. It may turn out that having many domains
(one for each dimensional quantity) is easier (to use and to implement). Neither
do I have a clear picture of what I proposed, but at this point, I like it
better (until convinced otherwise). I like it because, as you asked, one can
design one's own unit system once, and then doesn't have to worry about it. I
also like it because it separates the symbolic expression from the units. The
functions of the form unitXXX can be used in assignment statements that carry
out a sequence of computations, verifying the dimensions and they stay in the
same domain (no need to load tons of domains and perform domain-to-domain
conversions (even if that is possible and meaningful). An example of such a
sequence of computation can be (assuming the domain S is FRAC POLY INT and we
use FPS(S) and we have implemented the arithmetic operations in FPS(S), as
inherited from S; the output units are put in brackets to separate them from the
expressions):
ux0:=unitLength('x0)
x0 [ft]
uv0:=unitVelocity('v0)
v0 [ft/s]
ut:=unitTime('t)
t [s]
ua:=unitAcceleration('a)
a [ft/s^2]
us:=ux0 + uv0*ut + ua * ut^2/2
x0 + v0*t + a*t^2/2 [ft]
us::MYUnitSystem(S)
(x0 + v0*t + a*t^2/2)*factor [yd/hr^2]
where factor is a number or an undefined symbolic convertion factor. One can
also input values in other system than the one used:
ux0:=unitLength(50)$MYUnitSystem(S)::FPS(S)
150 [ft]
would take the input 50 [yd] (yd being the unit of length in MYUNitSystem(S))
and convert it to FPS(S). It is much easier to remember the name of a unit
system than to remember all the units of various dimensional quantities. Using
the Rep proposed in the previous message:
Rep:=[value:S, dim:Dimension]
the last instruction first creates
[50, "Length"] in MYUNitSystem(S)
and then converts it to
[150, "Length"] in FPS(S).
The conversion factor only arises when we change unit systems. If the conversion
factor is not coercible to S, we can leave it symbolic and undefined, like:
[50 yd2ft, "Length"] in FPS(S)
and then one can evaluate:
subst(value(ux0), yd2ft, 3.0)
or better:
ux0::FPS(Float)
150.0 [ft]
will do the conversion without the user knowing how it is done.
> Just curious - lord knows I'm not informed enough to critique :-).
To quote Martin: "Don't say that"! Every question or idea contributes to the
eventual product.
More critiques are welcome!
In another post, CY wrote:
> are Work and Moment in some sense the
> same thing? If not, how can the difference be expressed?
The two are different. Moment (in physics) is a measure of tendency to produce
motion especially about a point or axis and is computed by the product of
quantity (as a force) and the distance to a particular axis or point. Work is
the transference of energy that is produced by the motion of the point of
application of a force and is measured by multiplying the force and the
displacement of its point of application in the line of action. (Both taken from
Merriam-Webster On-line).
> > So the way to handle mixed unit expression should be to first
> > convert say 5 feet to meter before addition. I would not
> > worry about such expressions since that is not "scientific" (Axiom:
> > The Scientific Computation System).
>
> Do you mean worry about preserving them interally or as output? If so,
> I agree. As input, they should be legal if dimensionally legal and
> converted internally to useful form.
>
Yes, we CAN allow input like 3 meter + 5 feet, but the question is, how is the
system going to tell whether the user wants meter or feet in the answer? In my
scenario, the user would be forced to do something like
(unitLength(3)$MKS(S) + unitLength(5)$FPS(S))::MKS(S)
3 + 5*ft2m [meter]
which may not be that bad, because it forces the user to think carefully and
spell out explicitly the units used. (This certainly would have prevented the
crash on Mars).
In the domain-preferred scenario, this would be:
(3 meter + 5 feet)::meter
The disadvantage of the former is it is long-winded, but the user does not have
to know the actual units in the systems and there is no new syntax to be
learned. The disadvantage of the latter is that the user needs to know the
units, and the units takes up name space (meter and feet would have to be
reserved words) and either a new syntax has to be constructed or the domains
"meter", etc needs to know about arithmetic. It is certainly more intuitive, for
simple units at least (can anyone name the unit for viscosity or thermal
diffusivity offhand?) Given the number of unit systems and the number of
physical quantities, I would opt for not having to know them except the system
names, or just MYUnitSystem.
William
From MAILER-DAEMON Tue Aug 23 18:50:42 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7hbN-00029l-IW
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 18:50:41 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7hbK-00027k-16
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:50:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7hbH-000261-5e
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:50:36 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7hbG-00025I-Qv
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:50:34 -0400
Received: from [206.46.252.48] (helo=vms048pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7hYD-00051L-Uy
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:47:26 -0400
Received: from cunyvm.cuny.edu ([141.155.160.178])
by vms048.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILP00FVL5XF1K22@vms048.mailsrvcs.net> for
axiom-developer@nongnu.org; Tue, 23 Aug 2005 17:46:28 -0500 (CDT)
Date: Tue, 23 Aug 2005 18:46:30 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question
To: C Y <smustudent1@yahoo.com>, Martin Rubey <martin.rubey@univie.ac.at>,
Ralf Hemmecke <ralf@hemmecke.de>, axiom-developer@nongnu.org
Message-id: <430BA746.8BA99FB2@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050823183132.24576.qmail@web31714.mail.mud.yahoo.com>
<430B9C1E.CD8C6219@cunyvm.cuny.edu>
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 22:50:39 -0000
William Sit wrote:
> For example, if "us"
> represents a value s with dimension "Force", and one wants to output "Force" in
> lb cm/hr^2, then one can have (syntax of Axiom need not be correct):
>
> coerce(us:MyUnitSystemDomain)==
> ...
> (dimension(us) case "Force") =>
> factor := ...
> hconcat(value(us)*factor::OutputForm, "lb cm/hr^2"::OutputForm)
> ...
Correction: the unit of Force should be slug cm /hr^2 in the above example. lb
is already a unit of force in the US system.
William
From MAILER-DAEMON Tue Aug 23 19:09:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7htK-0008Lv-8n
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 19:09:14 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7htG-0008Kr-IP
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 19:09:11 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7htD-0008Jr-R2
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 19:09:09 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7htB-0008Dx-Mj
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 19:09:05 -0400
Received: from [68.142.201.187] (helo=web31707.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7hf4-0005hr-Jd
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 18:54:30 -0400
Received: (qmail 9925 invoked by uid 60001); 23 Aug 2005 22:53:33 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=Hqs79/jO7S7xOKboJ9oViovVhWTp9R0ZFbSFAQlXgfmp8UHrfJNNwndmG+jXzPISYd9eAfjod3WRj2jLKgvtledd6U3Js9dnVIplmDUvefj40DOjwdyDEyoyt7yTOq3gbpsQY0L8lCy7bfpGF9K+B8k3jhTulG8r4dbntpSqK0I=
;
Message-ID: <20050823225333.9923.qmail@web31707.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31707.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 15:53:33 PDT
Date: Tue, 23 Aug 2005 15:53:33 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430B9C1E.CD8C6219@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 23 Aug 2005 23:09:11 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> That is no problem at all. A user can create his/her own unit
> system domain by modifying the implemented code for SI or CGS, or
> whatever.
That, at least, I would prefer to avoid. If the user sets SI or CGS, I
think we would prefer to avoid requiring them to program spad code to
set up anything customized for a specific situation when a couple of
local overrides would work.
> The user unit system can mix units if that is preferred.
So you're envisioning a separate level of logic which handles user
settings, and the underlying one organized as outlined below?
> The only restriction is that in symbolic computation, that is, in
> equations involving physical quantity, the actual unit
> should NOT be part of the equation, and if it is dimensionally
> balanced (all additive terms have the same physical dimension --
> but this is not sufficient, you should not add Work to Moment),
> then the units can be handled in the unit domains by modifying the
> coercions to OutputForm.
We can make it stronger by requiring all additive terms to have the
same dimension, and not allow derived dimensions with the same units to
be automatically merged. (Really, if they could be merged all we would
need to do is define a few more aliases for the original dimension, as
opposed to making a separate one. If we make Work and Moment separate
derived dimensions, they won't merge at the symbolic level. However,
we will have to make a decision as to the mapping of a unit back to a
variable with a dimension matching the unit's MKS base unit definition
- do we assume if someone is assigning a variable with dimension Work a
value with units compatible with Work, it is a Work quantity and not a
Moment quantity? The same problem holds for dimensional analysis - we
should report something. Do we report Work, Moment, or both? If
someone enters a purely unit based expression and wants dimensional
analysis of it, what do we do? Erroring out with something like
"non-unique dimensional mapping - please specify dimension type for
<error generating unit> - {Work, Moment}" would probably be the most
correct way. Maybe we could have a setting which was either strict
(above behavior) or fuzzy (assumes in a case where there are multiple
possibilities the user knew what they were doing, in order to avoid
endless aggrevation when working on basic problems? If a scientist
knows Moment is not part of his system, he can use fuzzy matching for
casual work and get strict about it for the final draft :-). And it
would also be good to document the physical reasons behind such design
decisions, so people who aren't physics gurus could figure out why the
CAS is grumbling at them ;-)
> For example, if "us" represents a value s with dimension "Force",
> and one wants to output "Force" in lb cm/hr^2, then one can have
> (syntax of Axiom need not be correct):
>
> coerce(us:MyUnitSystemDomain)==
> ...
> (dimension(us) case "Force") =>
> factor := ...
> hconcat(value(us)*factor::OutputForm, "lb
> cm/hr^2"::OutputForm)
> ...
>
> where factor is to be computed depending on the (input) units for
> mass, length and time in this domain (which NEED NOT be lb, cm, hr
> respectively). It can also be handled by the "lift" packages that
> provides similar coercions. In other words, units for each physical
> quantity does not have to be (but CAN be) derived
> from the units of the basic dimensions. Let the coerce function
> handle all the conversions.
Well, as long as we put an intuitive front end on everything for the
end user, I'm OK. A bit of context - for the Maxima units package I
have a function setunits() which takes as an argument a list of
variables, and sets those to be the default output units for each
dimension. It returns an error if there is more than one unit
corresponding to a given dimension. I would prefer to be able to do
this in Axiom, as well. Here's one scenario: I start up Axiom and have
the default system load up in SI units. I look at my data, and realize
I'm working on a scale of nanometers. SI is ideal for most everything
I'm going to be doing, but I want Length output to be in nm so I don't
have to visually sort through lots of powers of ten. In Maxima, I
could simply say setunits(nm) and from that point on, until I told it
differently, all my lengths would be converted and rendered in output
as nanometers. I would like similar ease of use in Axiom, if it is
compatible with how Axiom works - I'd rather not have to open up the
text editor, whip out a new MyUnits domain, and define things
accordingly - I'd rather that all be hidden.
> Yes. A unit system should be coherent (even though this proposed set
> up will allow unconventional systems) and Axiom should provide the
> common ones like CGS, MKS, FPS (foot-lb-sec). Users can then modify
> one closest to their liking and customize it.
That's the part that worries me a little - as a user I want to just say
"use MKS" and then "but render Mass in slugs" without ever worrying
about domains, convert functions, or any details I don't have to. At
next axiom startup my "render Mass in slugs" preference is lost, which
is find with me - it was a purely temporary condition.
> Other users can then write other domains in categorical
> terms if dimensions are involved by referring to UnitSystem
> category.
Depending on how sophisticated the user is, yes.
> Physical constants are an integral part. Pi is a good example that
> appears in many physical formulae.
Pi (3.14... right) is a unitless number, and so (hopefully) isn't a
worry from a units standpoint? Am I missing something?
Hmm, perhaps I should clarify - when I say physical constants I'm
thinking things like speed of light, Plank's constant, mass of an
electron, etc - i.e. things with units. Am I using incorrect
terminology?
> How about Weight = Mass * AccelerationDueGravity and
> Circumference = Pi * Radius?
>
> Both AccelerationDueGravity and Pi are considered constants (which
> is correct only when each is converted to a numerical value after
> chosing a unit system): but the first has a dimension of
> "Acceleration" and the second is dimensionless (Dimension domain
> should include "None" in the Union("Mass", etc)).
Oh, got it (I think) - you're considering how to treat dimensionless
objects in a dimensional analysis?
> Another example is specific heat c, defined by the equation:
> Q = c m dT, giving c a dimension of energy/(mass * temp). The only
> way to find the dimension of such a quantity in general is
> by "solving" (dimension analysis) but that only provides the
> answer in terms of basic dimensions.
Right, then you do pattern matching to see if those basic dimensions
map into any of the derived dimensions. (Or at least, that's what I
did in Maxima. Maybe that's not workable here - I'll have to think
about it a bit.)
OK, gotta run to a dinner appointment - I'll reply to the second half
later :-). Very interesting stuff!
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Tue Aug 23 21:16:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7jsG-00013J-Ki
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 21:16:16 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7jjd-00074a-Rr
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 21:07:22 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7jjD-0006wd-Lb
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 21:06:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7jjC-0006lH-3O
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 21:06:54 -0400
Received: from [206.46.252.44] (helo=vms044pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7jT7-0004Tf-K5
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 20:50:17 -0400
Received: from cunyvm.cuny.edu ([141.155.160.178])
by vms044.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILP003FHBM65TF2@vms044.mailsrvcs.net> for
axiom-developer@nongnu.org; Tue, 23 Aug 2005 19:49:19 -0500 (CDT)
Date: Tue, 23 Aug 2005 20:49:21 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: C Y <smustudent1@yahoo.com>
Message-id: <430BC411.6F4ED133@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050823225333.9923.qmail@web31707.mail.mud.yahoo.com>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 01:16:15 -0000
C Y wrote:
>
> --- William Sit <wyscc@cunyvm.cuny.edu> wrote:
>
> > That is no problem at all. A user can create his/her own unit
> > system domain by modifying the implemented code for SI or CGS, or
> > whatever.
>
> That, at least, I would prefer to avoid. If the user sets SI or CGS, I
> think we would prefer to avoid requiring them to program spad code to
> set up anything customized for a specific situation when a couple of
> local overrides would work.
It is easy to create functions to reset the units in any domain of UnitSystem
category. We just have to do this by providing functions like:
setUnitLength(nm) -- assuming we use SI abbreviations.
However, for the package to provide such generality would require not only
updating an internal table (it will require one anyway, of all the units
corresponding to physical quantities (dimensions)) but also that the output
coercions figure out the factors before output. This does complicate the output
coercions because there can be many cases to deal with even if we restrict such
user settings to the seven basic dimensions. If a normal range of powers of 10
is from -30 to 30 (which includes nanoscale to astronomical scales, and enlarge
the range if you like), there would be about 20 cases to check for each basic
dimension (allowing one new prefix for every third value of the exponent). On
the other hand, a user custom unit system need only modify simple code for the
specific units. Generalities quickly expands the cases exponentially.
The set functions will also have to do error checking (that is, verify that nm
is indeed a unit of length, or at least among the units it knows). Again, this
would complicate the implementation of the domains for UnitSystem category.
Would you allow, for example, in SI(S), setUnitLength(ft)? (I would vote a
definite No).
Remember, a user can do such unit conversion by coercion if Axiom thinks that
nanoscale is a common unit system and provides one. We can also provide one for
astronomical units. The idea is to allow gradual growth to satisfy user needs,
but the first implementations do not have to be all-encompassing. The design has
to be.
> > The user unit system can mix units if that is preferred.
>
> So you're envisioning a separate level of logic which handles user
> settings, and the underlying one organized as outlined below?
Yes, but that scenario is not encouraged (indeed discouraged), even though it
can be done.
> > The only restriction is that in symbolic computation, that is, in
> > equations involving physical quantity, the actual unit
> > should NOT be part of the equation, and if it is dimensionally
> > balanced (all additive terms have the same physical dimension --
> > but this is not sufficient, you should not add Work to Moment),
> > then the units can be handled in the unit domains by modifying the
> > coercions to OutputForm.
>
> We can make it stronger by requiring all additive terms to have the
> same dimension, and not allow derived dimensions with the same units to
> be automatically merged. (Really, if they could be merged all we would
> need to do is define a few more aliases for the original dimension, as
> opposed to making a separate one. If we make Work and Moment separate
> derived dimensions, they won't merge at the symbolic level.
All I am saying is that even if an equation is dimensionally correct, it could
still be wrong (in terms of physics) because of this non-unique mapping. We
certainly cannot just use dimensional analysis (reducing to basic dimensions) to
discover that Work = Moment is wrong.
> However,
> we will have to make a decision as to the mapping of a unit back to a
> variable with a dimension matching the unit's MKS base unit definition
> - do we assume if someone is assigning a variable with dimension Work a
> value with units compatible with Work, it is a Work quantity and not a
> Moment quantity?
In my scheme, you do not assign a variable to its unit explicitly. You assign a
dimension to the value (which has no unit attached explicitly, and only
implicitly based on the domain the result of unitXXX function). This frees the
symbolic computation of units, the way it is usually done in science.
> The same problem holds for dimensional analysis - we
> should report something. Do we report Work, Moment, or both? If
> someone enters a purely unit based expression and wants dimensional
> analysis of it, what do we do? Erroring out with something like
> "non-unique dimensional mapping - please specify dimension type for
> <error generating unit> - {Work, Moment}" would probably be the most
> correct way.
I don't understand this question. There is NO unique way to decompose ANY
rational expression in basic dimensions and return it as a result of (rational
expression) in physical derived dimensions. Dimensional analysis is a one-way
method: reduce derived dimensions into its basic dimensions and match the
exponents for each basic dimension.
> Maybe we could have a setting which was either strict
> (above behavior) or fuzzy (assumes in a case where there are multiple
> possibilities the user knew what they were doing, in order to avoid
> endless aggrevation when working on basic problems? If a scientist
> knows Moment is not part of his system, he can use fuzzy matching for
> casual work and get strict about it for the final draft :-). And it
> would also be good to document the physical reasons behind such design
> decisions, so people who aren't physics gurus could figure out why the
> CAS is grumbling at them ;-)
Even a so-called "dimensionless" quantity can sometimes have "dimension":
phase angle: unit radian, dimension m.m^(-1)
solid angle: unit steradian, dimension m^2. m^(-2)
See: http://physics.nist.gov/cuu/Units/units.html
There is no hope to list all possibilities. Another example taken from that
page:
absorbed dose (specific energy imparted), unit gray, dimension m^2.s^(-2).
The dimension is actually meaningless. Expressed in terms of derived dimensions,
1 gray is 1 J/kg (makes perfect sense as energy/mass). But one can also say the
dimension is that of velocity^2 in other context.
>
> > For example, if "us" represents a value s with dimension "Force",
> > and one wants to output "Force" in [slug] cm/hr^2, then one can have
> > (syntax of Axiom need not be correct):
> >
> > coerce(us:MyUnitSystemDomain)==
> > ...
> > (dimension(us) case "Force") =>
> > factor := ...
> > hconcat(value(us)*factor::OutputForm, "[slug]
> > cm/hr^2"::OutputForm)
> > ...
> >
> > where factor is to be computed depending on the (input) units for
> > mass, length and time in this domain (which NEED NOT be lb, cm, hr
> > respectively). It can also be handled by the "lift" packages that
> > provides similar coercions. In other words, units for each physical
> > quantity does not have to be (but CAN be) derived
> > from the units of the basic dimensions. Let the coerce function
> > handle all the conversions.
>
> Well, as long as we put an intuitive front end on everything for the
> end user, I'm OK. A bit of context - for the Maxima units package I
> have a function setunits() which takes as an argument a list of
> variables, and sets those to be the default output units for each
> dimension. It returns an error if there is more than one unit
> corresponding to a given dimension. I would prefer to be able to do
> this in Axiom, as well. Here's one scenario: I start up Axiom and have
> the default system load up in SI units. I look at my data, and realize
> I'm working on a scale of nanometers. SI is ideal for most everything
> I'm going to be doing, but I want Length output to be in nm so I don't
> have to visually sort through lots of powers of ten. In Maxima, I
> could simply say setunits(nm) and from that point on, until I told it
> differently, all my lengths would be converted and rendered in output
> as nanometers. I would like similar ease of use in Axiom, if it is
> compatible with how Axiom works - I'd rather not have to open up the
> text editor, whip out a new MyUnits domain, and define things
> accordingly - I'd rather that all be hidden.
Yes, as explained earlier, we CAN provide such functionality. I don't know how
you implemented that in Maxima, but I think it would be cumbersome if
restrictions are not set.
> > Yes. A unit system should be coherent (even though this proposed set
> > up will allow unconventional systems) and Axiom should provide the
> > common ones like CGS, MKS, FPS (foot-lb-sec). Users can then modify
> > one closest to their liking and customize it.
>
> That's the part that worries me a little - as a user I want to just say
> "use MKS" and then "but render Mass in slugs" without ever worrying
> about domains, convert functions, or any details I don't have to. At
> next axiom startup my "render Mass in slugs" preference is lost, which
> is find with me - it was a purely temporary condition.
I really don't think a scientific worker would use slugs with MKS. I would
emphatically discourage you from doing that! Making it very easy for a user to
"violate" a system of units is asking for trouble. Making it more difficult at
least ensures the user knows or thinks about what (s)he is doing. I don't
implement generality for generality's sake. Life is too short.
Don't mix unit systems! Convert first before you start the computations, and
convert back if you really have to.
> > Other users can then write other domains in categorical
> > terms if dimensions are involved by referring to UnitSystem
> > category.
>
> Depending on how sophisticated the user is, yes.
Alright, other developers, not users.
> > Physical constants are an integral part. Pi is a good example that
> > appears in many physical formulae.
>
> Pi (3.14... right) is a unitless number, and so (hopefully) isn't a
> worry from a units standpoint? Am I missing something?
Let's see. A circle spans 2 pi radians at its center. So 2 pi radians = 360
degrees.
So pi has unit degree/radian (even though that is dimensionless) when it is
viewed as a unit conversion factor between radians and degrees.
>
> Hmm, perhaps I should clarify - when I say physical constants I'm
> thinking things like speed of light, Plank's constant, mass of an
> electron, etc - i.e. things with units. Am I using incorrect
> terminology?
That is correct. And there are physical constants and mathematical constants.
:-)
> > How about Weight = Mass * AccelerationDueGravity and
> > Circumference = Pi * Radius?
> >
> > Both AccelerationDueGravity and Pi are considered constants (which
> > is correct only when each is converted to a numerical value after
> > chosing a unit system): but the first has a dimension of
> > "Acceleration" and the second is dimensionless (Dimension domain
> > should include "None" in the Union("Mass", etc)).
>
> Oh, got it (I think) - you're considering how to treat dimensionless
> objects in a dimensional analysis?
Dimensionless is not always without dimension and physical constants often have
dimensions.
> > Another example is specific heat c, defined by the equation:
> > Q = c m dT, giving c a dimension of energy/(mass * temp). The only
> > way to find the dimension of such a quantity in general is
> > by "solving" (dimension analysis) but that only provides the
> > answer in terms of basic dimensions.
>
> Right, then you do pattern matching to see if those basic dimensions
> map into any of the derived dimensions. (Or at least, that's what I
> did in Maxima. Maybe that's not workable here - I'll have to think
> about it a bit.)
One may do a certain amount of guessing or pattern matching, but that is limited
by one's current knowledge (limited, at best). The example I gave earlier,
m^2.s^(-2), would you even have thought of it as absorbed dose? (I certainly
didn't before writing this email). Given the vastness of scientific research,
you need a subject matter expert to increase the chance of meaningful matching.
The user is often the subject matter expert. Let him or her deal with it.
> OK, gotta run to a dinner appointment - I'll reply to the second half
> later :-). Very interesting stuff!
>
Dinner bell just rung for me too. Thanks for the discussions.
William
From MAILER-DAEMON Tue Aug 23 22:07:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7kgH-0004NQ-Fd
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 22:07:57 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7kgF-0004Ly-6M
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:07:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7kgC-0004Km-Su
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:07:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7kfh-0003my-21
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:07:21 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7kEz-0007fJ-En
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 21:39:45 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O1cawl005200;
Tue, 23 Aug 2005 20:38:36 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7O1caKN005197;
Tue, 23 Aug 2005 20:38:36 -0500
Date: Tue, 23 Aug 2005 20:38:36 -0500
Message-Id: <200508240138.j7O1caKN005197@axiom-developer.org>
To: smustudent1@yahoo.com
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Exports == Implementation
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 02:07:55 -0000
CY,
One thing to keep in mind is that Axiom defines things from
the category level. Perhaps we need to work out the category
relationship between the ideas of Force, Energy, etc before
we develop the specific domains. I'm picturing a diagram
similar to the endpapers on the Axiom book (or see
src/doc/endpapers.pamphlet)
t
From MAILER-DAEMON Tue Aug 23 22:08:17 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7kgb-0004bR-6H
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 22:08:17 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7kgZ-0004Ys-1W
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:08:15 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7kgW-0004Uz-9w
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:08:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7kfh-0003my-MU
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:07:21 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7kCu-0007aX-Ri
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 21:37:37 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O1aRwl004650;
Tue, 23 Aug 2005 20:36:28 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7O1aRN7004647;
Tue, 23 Aug 2005 20:36:27 -0500
Date: Tue, 23 Aug 2005 20:36:27 -0500
Message-Id: <200508240136.j7O1aRN7004647@axiom-developer.org>
To: smustudent1@yahoo.com
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Exports == Implementation
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 02:08:15 -0000
CY,
This is a convention (not universally followed). The definition of
a domain has a signature, a list of functions it exports and the
implementation of those functions.
Axiom's syntax for a macro is
name ==> definition
so you'll see things like:
foo(R: Ring): Exports == Implementation
Exports ==> ...
Implementation ==> ...
The left and right sides of the '==' are given in macro definitions.
You could have easily said:
foo(R: Ring): Left == Right
Left ==> ...
Right ==> ...
I agree that we need to define the syntax with a real example.
Perhaps if we develop the Dimension package in public we can
use it as an example of developing a domain and a give complete,
step-by-step explanation in the pamphlet. We could include it as
a chapter in the Programmer's Guide in the axiom--book--1 tree.
I wrote a similar chapter for Aldor years ago. I'm not sure if
it is still part of the aldor docs.
t
From MAILER-DAEMON Tue Aug 23 22:08:18 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7kgc-0004cK-Dg
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 22:08:18 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7kga-0004b3-Sd
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:08:16 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7kfj-00047S-1d
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:07:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7kfb-0003my-CB
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:07:15 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7kK8-0007tN-Sk
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 21:45:05 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O1huwl006227;
Tue, 23 Aug 2005 20:43:56 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7O1huHm006215;
Tue, 23 Aug 2005 20:43:56 -0500
Date: Tue, 23 Aug 2005 20:43:56 -0500
Message-Id: <200508240143.j7O1huHm006215@axiom-developer.org>
To: smustudent1@yahoo.com
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] 'this'
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 02:08:17 -0000
CY,
$ and % are semantically the same thing but the syntax was changed
late in the development from $ (meaning 'this' domain) to % meaning
the same thing. This was done to make the Aldor and Axiom syntax
the same. The Aldor compiler came late in the Axiom development and
drove a lot of cleanup and changes back into Axiom.
t
From MAILER-DAEMON Tue Aug 23 22:37:40 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7l92-0003CW-5A
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 22:37:40 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7l8S-00030T-1U
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:37:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7l8H-0002tw-OY
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:36:55 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7l8F-0002kC-TL
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:36:51 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7kxm-0001X6-Mn
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:26:03 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O2Omwl016352;
Tue, 23 Aug 2005 21:24:48 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7O2OmdZ016349;
Tue, 23 Aug 2005 21:24:48 -0500
Date: Tue, 23 Aug 2005 21:24:48 -0500
Message-Id: <200508240224.j7O2OmdZ016349@axiom-developer.org>
To: kai.kaminski@gmx.de
Cc: axiom-developer@nongnu.org, Bill.page1@sympatico.ca
Subject: [Axiom-developer] Dr. Dobbs article
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 02:37:38 -0000
Kai,
I believe you should try to do the Dr. Dobbs article. Publication is a
worthwhile exercise especially for a student. I published an article in
Byte magazine (WAY before your time) and it was a great learning experience.
t
From MAILER-DAEMON Tue Aug 23 22:42:32 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7lDk-0004ae-0r
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 22:42:32 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7lDh-0004Zb-Ri
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:42:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7lDg-0004Z2-9Z
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:42:29 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7l8Z-0002kC-7B
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:37:11 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7ksV-0001Lg-PQ
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:20:36 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O2JPwl014885;
Tue, 23 Aug 2005 21:19:25 -0500
From: daly@axiom-developer.org
Received: (from daly@localhost)
by axiom-developer.org (8.12.8/8.12.8/Submit) id j7O2JPfI014866;
Tue, 23 Aug 2005 21:19:25 -0500
Date: Tue, 23 Aug 2005 21:19:25 -0500
Message-Id: <200508240219.j7O2JPfI014866@axiom-developer.org>
To: Bill.page1@sympatico.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] 'this'
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 02:42:30 -0000
Bill,
Sorry for being so unresponsive but the new job has a deadline of 9/1
and I'm running uphill to try to catch a clue or two.
re: MathAction server costs. Don't worry about it. It's covered.
re: CAISS as sponsor. It's true I no longer work there but we all
owe CAISS and Gilbert Baumslag (the director) more than we can repay.
Leave the sponsorship on the first page.
CMU is a different story and all of my Axiom work is nights/weekends.
If this changes we can list them as a sponsor but please don't do
anything until I have the discussion and the permission.
t
From MAILER-DAEMON Tue Aug 23 23:17:32 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7llc-0005JR-ID
for mharc-axiom-developer@gnu.org; Tue, 23 Aug 2005 23:17:32 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7lla-0005J4-G2
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 23:17:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7llW-0005HX-8a
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 23:17:29 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7llV-0005Ee-Lu
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 23:17:25 -0400
Received: from [206.46.252.46] (helo=vms046pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7lfD-00046D-De
for axiom-developer@nongnu.org; Tue, 23 Aug 2005 23:10:55 -0400
Received: from cunyvm.cuny.edu ([141.155.160.178])
by vms046.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILP007WGI4JDIT2@vms046.mailsrvcs.net> for
axiom-developer@nongnu.org; Tue, 23 Aug 2005 22:09:56 -0500 (CDT)
Date: Tue, 23 Aug 2005 23:09:58 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: C Y <smustudent1@yahoo.com>
Message-id: <430BE506.8F1B7DF9@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050823225333.9923.qmail@web31707.mail.mud.yahoo.com>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 03:17:30 -0000
C Y wrote:
> Here's one scenario: I start up Axiom and have
> the default system load up in SI units. I look at my data, and realize
> I'm working on a scale of nanometers. SI is ideal for most everything
> I'm going to be doing, but I want Length output to be in nm so I don't
> have to visually sort through lots of powers of ten. In Maxima, I
> could simply say setunits(nm) and from that point on, until I told it
> differently, all my lengths would be converted and rendered in output
> as nanometers. I would like similar ease of use in Axiom, if it is
> compatible with how Axiom works - I'd rather not have to open up the
> text editor, whip out a new MyUnits domain, and define things
> accordingly - I'd rather that all be hidden.
Actually, we can even do better, without the user doing a setUnitLength(nm), if
the only reason to use nm instead of m is to get rid of annoying powers of 10.
For numerical output (the problem does not arise for symbolic output), the
output coerce routine can sense the magnitude of the value in the unit and shift
the decimal place appropriately and adjusting using a suitable prefix. So one
stays in SI but the output gets rid of the powers of 10.
William
From MAILER-DAEMON Wed Aug 24 00:10:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7mas-0001V0-Hx
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 00:10:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7mXY-0000ah-Gy
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:07:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7mXF-0000Oe-Ac
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:06:46 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7mXF-0000NV-1o
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:06:45 -0400
Received: from [68.142.201.184] (helo=web31704.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7mSe-0006d7-Dw
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:02:00 -0400
Received: (qmail 84710 invoked by uid 60001); 24 Aug 2005 04:01:00 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=BTasl/u5iRMDNqByg4Ge3cvqAlZdRUrYv47a5FObnZrk7dcJFL4SXgipJrYibFtWTIMLRzlQGRNfHYiBRaorQt1jjTl9Gm+pJ1XbbARnbL9KHJvOPVIHHSCH+c89m2WIlXiaTNGkEp6qogh6gSFtN2SNk9W7ESICjzJ9y8ni55k=
;
Message-ID: <20050824040100.84708.qmail@web31704.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31704.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 21:01:00 PDT
Date: Tue, 23 Aug 2005 21:01:00 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question - part 2
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430B9C1E.CD8C6219@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 04:10:26 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> There is no one-to-one conversion from rational expressions of
> basic dimensions to physical quantities. When possible, the
> physical name of the dimension should be retained (so moment
> cannot be confused with work; this also reminds me that we
> should separate scalar quantites from vector quantities).
So you're saying that dimension(23*J) should return an error, because
without context it's not clear what physical dimension is being
described? I agree that if the knowledge exists in the definitions it
should be carried along, but without context, as in the above example,
what should be done?
I propose a convention - it is likely that any use Axiom's unit package
will see will be from the physics community, since that is the most
math heavy of the basic physical sciences. I propose we create a
variable that can be set to select pre-defined behaviors for cases
where a physical unit corresponds to more than one dimension. For the
PHYSICS convention, I suggest that the above command return a dimension
of Energy, with perhaps a cautionary that this mapping is not unique in
general. This would correspond to what I would expect. (Also, are
Energy and Work different physical dimensions?) A mode STRICT might be
created where the above returns a description in terms of the seven
base dimensions, which will be correct without pinning the definition
specifically to one derived dimension. What should be the default I
don't know.
> > If you're looking to determine dimensional equality, the best way I
> > know is to reduce everything to the seven base dimensions and
> > simplify. That might be a bit more CPU intensive than taking
> > shortcuts in the case of complex expressions, but it is the most
> > general way I know of and has the best chance of succeeding in
general.
>
> Agreed, but see above.
I think there could be again modes of operation - in this case fuzzy
(which goes ahead and assumes if MKS units are the same the derived
quantities can safely be considered the same) and strict, which will
raise flags and/or provide correct but less useful answers. I
guarantee that making Axiom too strict in a correctness sense without
providing a way to get things done will lose it much of its audience in
the unit game, since physicists as a rule are not overly concerned with
mathematical rigor. (Compared to mathematicians, anyway ;-) I think
allowing both strict mode and fuzzy mode is a good idea, which allows
for both full correctness if needed and a more practical working
environment if desired. I invite comment on this, since I might have
just stomped Axiom philosophy into the carpet :-/. At a fair number of
usage levels, people might not even know what Moment IS, much less
whether the dimension of the quantity found in the book is Work or not.
(The book itself might make an unstated assumption, which a student
would have no way to be aware of but an expert in the field would know.
The student would want to make such assumptions initially, and only if
problems arose go back and check hidden assumptions. (At least, that's
my guess ;-)
> The reason against separate domains for each physical quantity
> (dimension in this sense) is not just because there are lots of
> them, but because it would be difficult to spell out the
> interrelationships and to create new ones. Yes, everything is a
> one time effort, except when it comes to being used.
OK. It seems like as long as actual unit transformations are
neglected, things are fairly easy to work with, so I don't think a
design decision change would pose too great a difficulty at the
symbolic level.
> I suppose if there is no consensus, then we would have to implement
> with different designs. Axiom can support that with no problem.
But our limited developer manpower pool can't :-(.
> I don't know the difficulties about many domains either, since I
> have not tried to implement them. I only have a hunch. It may turn
> out that having many domains (one for each dimensional quantity)
> is easier (to use and to implement). Neither do I have a clear
> picture of what I proposed, but at this point, I like it better
> (until convinced otherwise).
Fair enough :-).
In another post, CY wrote:
> > are Work and Moment in some sense the
> > same thing? If not, how can the difference be expressed?
> The two are different. Moment (in physics) is a measure of
> tendency to produce motion especially about a point or axis
> and is computed by the product of quantity (as a force) and
> the distance to a particular axis or point. Work is
> the transference of energy that is produced by the motion
> of the point of application of a force and is measured by
> multiplying the force and the displacement of its point of
> application in the line of action. (Both taken from
> Merriam-Webster On-line).
Hmm. Well, the situations in which the labels are used are different,
but I'm not sure what is being described isn't the same thing on a
dimensional level. But, I'll go ahead on it, since it could be Energy
and Work don't always interchange either...
> Yes, we CAN allow input like 3 meter + 5 feet, but the question is,
> how is the system going to tell whether the user wants meter or feet
> in the answer? In my scenario, the user would be forced to do
something
> like
>
> (unitLength(3)$MKS(S) + unitLength(5)$FPS(S))::MKS(S)
>
> 3 + 5*ft2m [meter]
> which may not be that bad, because it forces the user to think
> carefully and spell out explicitly the units used. (This certainly
> would have prevented the crash on Mars).
Well, that sounds like a pretty good argument for at least having a
mode of operation like this :-).
> In the domain-preferred scenario, this would be:
>
> (3 meter + 5 feet)::meter
>
> The disadvantage of the former is it is long-winded, but the user
> does not have to know the actual units in the systems and there is
> no new syntax to be learned. The disadvantage of the latter is that
> the user needs to know the units, and the units takes up name space
>(meter and feet would have to be reserved words) and either a new
> syntax has to be constructed or the domains "meter", etc needs to
> know about arithmetic.
Don't we WANT the units and dimensions to take namespace, at least at
user toplevel? If the UNITS package were active, we certainly don't
want people using unit names for anything ELSE - it would cause waaay
too much confusion. I would have viewed it as a design goal that (3
meter + 5 feet)::meter work as expected.
> It is certainly more intuitive, for simple units at least (can anyone
> name the unit for viscosity or thermal diffusivity offhand?) Given
the
> number of unit systems and the number of physical quantities, I would
> opt for not having to know them except the system names, or just
> MYUnitSystem.
I guess I would prefer to be able to either "use" the SI system, and
allow local overrides through simple syntax, or "set" the SI system,
and insist on everything being rendered using it.
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Wed Aug 24 00:38:45 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7n22-0000US-Uc
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 00:38:35 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7n1g-0000O3-Aq
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:38:14 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7n1T-0000Fb-EK
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:38:00 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7n1T-0000Ak-7u
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:37:59 -0400
Received: from [68.142.201.184] (helo=web31704.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7myb-0000Uh-8D
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:35:01 -0400
Received: (qmail 91981 invoked by uid 60001); 24 Aug 2005 04:34:01 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=hkblIJKyg2olhGgKeFSrzW8wG+WJl8truafmN1K6LnEkXg9F21KXttwVPe3YMyQEB/hWOc716/HJpNthvNjXO1OpxUStfYjYQZPP9Z/xsIqxEL+/xL1t70PeCOtagYisglXSi8iT02yZ/DMdDBLIWbTJJUfTtk/PkFDDYqnnEGI=
;
Message-ID: <20050824043401.91979.qmail@web31704.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31704.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 21:34:00 PDT
Date: Tue, 23 Aug 2005 21:34:00 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430BC411.6F4ED133@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 04:38:34 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> It is easy to create functions to reset the units in any domain of
> UnitSystem category. We just have to do this by providing functions
> like:
>
> setUnitLength(nm) -- assuming we use SI abbreviations.
>
> However, for the package to provide such generality would require
> not only updating an internal table (it will require one anyway,
> of all the units corresponding to physical quantities (dimensions))
> but also that the output coercions figure out the factors before
> output. This does complicate the output coercions because there can
> be many cases to deal with even if we restrict such user settings
> to the seven basic dimensions. If a normal range of powers of 10
> is from -30 to 30 (which includes nanoscale to astronomical scales,
> and enlarge the range if you like), there would be about 20 cases
> to check for each basic dimension (allowing one new prefix for
> every third value of the exponent). On the other hand, a user
> custom unit system need only modify simple code for the
> specific units. Generalities quickly expands the cases
> exponentially.
Correct - the Maxima active unit rulesets got quite large. However,
that is also when they are most useful, at least too me. I want the
computer doing all my grunt work for me, which includes spotting all
the obscure unit definitions and taking care of them. Fundamentally,
the set of all units is large, and that's what I want Axiom able to
manage. Whether or not this will require such exponential data sets is
not totally clear yet, but would not surprise me.
> The set functions will also have to do error checking (that is,
> verify that nm is indeed a unit of length, or at least among the
> units it knows).
Correct. Maxima's checks first that it is a unit and then that that
unit is a length.
> Again, this would complicate the implementation of the domains for
> UnitSystem category. Would you allow, for example, in SI(S),
> setUnitLength(ft)? (I would vote a definite No).
I would vote yes, because I can't predict what I'll want to do with my
unit environment.
> Remember, a user can do such unit conversion by coercion if Axiom
> thinks that nanoscale is a common unit system and provides one.
> We can also provide one for astronomical units. The idea is to allow
> gradual growth to satisfy user needs, but the first implementations
> do not have to be all-encompassing. The design has to be.
Agreed. I'm not shooting for immediately comprehensive, but for the
ability to be comprehensive in the future. I can't imagine all the
ways and situations units can be applied, so I don't want to restrict
the user runtime environments that can be set up and customized.
> > > The user unit system can mix units if that is preferred.
> >
> > So you're envisioning a separate level of logic which handles user
> > settings, and the underlying one organized as outlined below?
>
> Yes, but that scenario is not encouraged (indeed discouraged), even
> though it can be done.
But it should be doable, readily, IMHO. That's what computers are for
- to handle the grunt work associated with such decisions.
> All I am saying is that even if an equation is dimensionally
> correct, it could still be wrong (in terms of physics) because
> of this non-unique mapping. We certainly cannot just use
> dimensional analysis (reducing to basic dimensions) to
> discover that Work = Moment is wrong.
No. However, the ultimate burden in such cases will rest with the
scientist in question, and it may be that the dimensional correctness
of the equation is useful information to him/her. Hence my suggestion
for two modes on dealing with such things.
> In my scheme, you do not assign a variable to its unit explicitly.
> You assign a dimension to the value (which has no unit attached
> explicitly, and only implicitly based on the domain the result of
> unitXXX function). This frees the symbolic computation of units,
> the way it is usually done in science.
Agreed. My question is how dimension(<expr>) should react when <expr>
is not a set of variables, but an expression with units (E.g. 10 J).
> I don't understand this question. There is NO unique way to
> decompose ANY rational expression in basic dimensions and return
> it as a result of (rational expression) in physical derived
> dimensions. Dimensional analysis is a one-way method: reduce
> derived dimensions into its basic dimensions and match the
> exponents for each basic dimension.
Right, if you are looking at the dimensional equality of two sides of
an expression. There is also the case where you want to know what
quantity/dimension an expression is.
> Even a so-called "dimensionless" quantity can sometimes have
> "dimension":
>
> phase angle: unit radian, dimension m.m^(-1)
> solid angle: unit steradian, dimension m^2. m^(-2)
I'm not sure what the useful thing to do there is.
> See: http://physics.nist.gov/cuu/Units/units.html
>
> There is no hope to list all possibilities. Another example taken
> from that page:
>
> absorbed dose (specific energy imparted), unit gray, dimension
> m^2.s^(-2).
>
> The dimension is actually meaningless. Expressed in terms of derived
> dimensions, 1 gray is 1 J/kg (makes perfect sense as energy/mass).
> But one can also say the dimension is that of velocity^2 in other
> context.
Right. So conventions must be defined, preferable default ones as well
as specific ones for things like medical work.
> > In Maxima, I could simply say setunits(nm) and from that point
> > on, until I told it differently, all my lengths would be
> > converted and rendered in output as nanometers. I would like
> > similar ease of use in Axiom, if it is compatible with how Axiom
> > works - I'd rather not have to open up the text editor, whip out
> > a new MyUnits domain, and define things accordingly - I'd rather
> > that all be hidden.
>
> Yes, as explained earlier, we CAN provide such functionality.
> I don't know how you implemented that in Maxima, but I think it
> would be cumbersome if restrictions are not set.
Yes, I guess it is cumbersome to implement, but I was willing to pay
that price for the convenience.
> I really don't think a scientific worker would use slugs with
> MKS. I would emphatically discourage you from doing that! Making
> it very easy for a user to "violate" a system of units is asking
> for trouble. Making it more difficult at least ensures the user
> knows or thinks about what (s)he is doing. I don't implement
> generality for generality's sake. Life is too short.
That was just an example. nanometers instead of meters, or light years
instead of meters, would be more realistic examples.
> Don't mix unit systems! Convert first before you start the
> computations, and convert back if you really have to.
But that's just it - part of the reason for implementing a Unit system
in a CAS in the first place is to get it to do all the converting and
other annoyingly boring and error prone tasks for you - both for input
and output.
> So pi has unit degree/radian (even though that is dimensionless)
> when it is viewed as a unit conversion factor between radians and
> degrees.
I'm confused - when does it hurt to trivially reduce or ignore this?
> Dimensionless is not always without dimension
That makes no sense to me at all - when is it useful to consider a
dimensionless quantity to have dimension? Isn't that a logical
contradiction? F AND ~F -> F
> One may do a certain amount of guessing or pattern matching,
> but that is limited by one's current knowledge (limited, at best).
> The example I gave earlier, m^2.s^(-2), would you even have thought
> of it as absorbed dose? (I certainly didn't before writing this
> email). Given the vastness of scientific research, you need a
> subject matter expert to increase the chance of meaningful
> matching. The user is often the subject matter expert. Let him
> or her deal with it.
OK, but I still think a) we can prepare useful "domains" such as
defaults for physics, and b) if such work is done by subject matter
experts we should be able to incorporate it since it would constitute a
useful tool for work in the subject in question.
Fascinating discussion!
Cheers, and thanks!
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Wed Aug 24 01:23:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7njH-0004Ru-Qn
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 01:23:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7njF-0004Qw-IB
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 01:23:13 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7njD-0004Q9-Jo
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 01:23:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7nf4-0002Hm-Gx
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 01:18:54 -0400
Received: from [68.142.201.186] (helo=web31706.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7n30-00011A-RK
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 00:39:35 -0400
Received: (qmail 34622 invoked by uid 60001); 24 Aug 2005 04:38:34 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=5D7Yr4pH8Zd3WVPX8b4K1NSbsAoqXOd8y+ZO4lKeUvNgxA3A0enc2USEPX37/B5AbFZGGPFp/il1/dyd6EaUyiydV7vd2lSZxhDlYa6fi++xIhC0x9Kaq2JrvT2Prfa7BYRKqXkrSnUMCcScc6yhDEFtTKurGnD8nbPCG6Rq7gA=
;
Message-ID: <20050824043834.34620.qmail@web31706.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31706.mail.mud.yahoo.com via HTTP;
Tue, 23 Aug 2005 21:38:34 PDT
Date: Tue, 23 Aug 2005 21:38:34 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430BE506.8F1B7DF9@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 05:23:13 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> Actually, we can even do better, without the user doing a
> setUnitLength(nm), if the only reason to use nm instead of
> m is to get rid of annoying powers of 10. For numerical
> output (the problem does not arise for symbolic output), the
> output coerce routine can sense the magnitude of the value in the
> unit and shift the decimal place appropriately and adjusting
> using a suitable prefix. So one stays in SI but the output
> gets rid of the powers of 10.
Are nanometer, etc. considered part of SI then? Nifty idea, and one
worth following up on, but I would still like to peg things at nm, for
the following reason/scenario: Let's say I know that my calculations
and data SHOULD be coming out in the nm range. I set my unit for
length to be nm, proceed, and mostly see small numbers of nm. All well
and good, until suddenly I have a huge or very small number appearing.
Red flag! Not close to 1 nm. With autoscaling, the number would have
stayed near one and the unit would have changed. Sometimes useful, I
agree, but I can see arguments for both sides here.
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Wed Aug 24 02:58:05 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7pD2-0003N2-RF
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 02:58:05 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7pCx-0003IQ-PW
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 02:58:00 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7pCt-0003FW-OH
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 02:57:58 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7pCr-00035I-E3
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 02:57:54 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7p8Y-0008Lq-8V
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 02:53:26 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O6q2wl023796;
Wed, 24 Aug 2005 01:52:02 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050824015202-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 01:52:02 -0500
Cc:
Subject: [Axiom-developer] [AxiomContributions]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 06:58:01 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
++added:
[polymake]
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomContributions#msg20050824015202-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 03:44:19 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7pst-0005kM-Tt
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 03:41:22 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7psk-0005jN-0n
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 03:41:11 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7pse-0005iH-G5
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 03:41:07 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7pry-0005Az-BH
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 03:40:24 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7pUP-0001et-JQ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 03:16:01 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O7Ehwl028024;
Wed, 24 Aug 2005 02:14:43 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050824021437-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 02:14:43 -0500
Cc:
Subject: [Axiom-developer] [polymake] (nouveau)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 07:41:14 -0000
Changes http://page.axiom-developer.org/zope/mathaction/Polymake/diff
--
This is a trivial wrapper for the wonderful polymake package from Berlin, http://www.math.tu-berlin.de/polymake/ .
Note that this is rather a proof of concept, so if you think you've got a better design idea, go ahead and comment below.
So far, only little of the polymake functionality is covered, but it's mostly very easy to extend.
Usage
You can find some simple examples in [SandBox polymake]. There, you can also try it out online!
Design
I've decided to communicate with polymake for a start via file I/O, but would be easy to change this if necessary. Every polymake object created is stored with a "canonical" name: For example, if you ask for a cube of dimension 4, axiom will issue the shell command 'cube cube4.poly 4'. Then, when you ask for a property of this cube, for example, the hvector, then the shell command 'polymake cube4.poly H_VECTOR > tmp.poly' is issued. Finally axiom reads the contents of 'tmp.poly' and converts it to the appropriate type. Thus, the only thing that really has to be programmed is a conversion routine for every polymake type. Some of these are trivial, like the Boolean, vector or matrix types, some others need more thought.
Currently there are only two domains: 'Polytope' and 'SimplicialComplex'. If you want a particular polymake property or construction supported, or want to have a new domain like 'Graph', go ahead and change the contents of this file. If you need help, you can always ask me.
\begin{axiom}
)abbrev domain POLYTOPE Polytope
Polytope(): Exports == Implementation where
Exports == with
coerce: % -> OutputForm
-------------------------------------------------------------------------------
-- polytope constructions --
-------------------------------------------------------------------------------
cube: Integer -> %
cross: Integer -> %
rand01: (Integer, Integer) -> %
randSphere: (Integer, Integer) -> %
-------------------------------------------------------------------------------
-- polytope properties --
-------------------------------------------------------------------------------
fVector: % -> Vector Integer
f2Vector: % -> Matrix Integer
hVector: % -> Vector Integer
facets: % -> Matrix Integer
vertices: % -> Matrix Integer
simple: % -> Boolean
Implementation == add
Rep := String
coerce p == coerce(p)$Rep
String2ListInteger: String -> List Integer
String2ListInteger r ==
map(PARSE_-INTEGER(#1)$Lisp, split(r, char(" "))$String)_
$FiniteLinearAggregateFunctions2(String, List String, Integer, _
List Integer)
getBoolean: () -> Boolean
getBoolean ==
f := open(("tmp.poly")::FileName)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
(r="1")
getIntegerList: () -> List Integer
getIntegerList ==
f := open(("tmp.poly")::FileName)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
String2ListInteger(r)
getIntegerVector: () -> Vector Integer
getIntegerVector == vector(getIntegerList())$Vector(Integer)
getIntegerMatrix: () -> Matrix Integer
getIntegerMatrix ==
f := open(("tmp.poly")::FileName)$TextFile
read!(f)$TextFile
m: List List Integer := []
r: String
while not endOfFile?(f) repeat
r := read!(f)$TextFile
if not empty? r then
m := cons(String2ListInteger r, m)
close!(f)$TextFile
matrix(reverse m)$Matrix(Integer)
-------------------------------------------------------------------------------
-- polytope constructions --
-------------------------------------------------------------------------------
cube n ==
s: String := "cube" string(n)
systemCommand("system cube " s ".poly " string(n))$MoreSystemCommands
s::Rep
cross n ==
s: String := "cross" string(n)
systemCommand("system cross " s ".poly " string(n))$MoreSystemCommands
s::Rep
rand01(d, n) ==
s: String := "rand01" string(d) string(n)
systemCommand("system rand01 " s ".poly " string(d) " " string(n))$MoreSystemCommands
s::Rep
randSphere(d, n) ==
s: String := "randsphere" string(d) string(n)
systemCommand("system rand__sphere " s ".poly " string(d) " " string(n))$MoreSystemCommands
s::Rep
-------------------------------------------------------------------------------
-- polytope properties --
-------------------------------------------------------------------------------
fVector s ==
systemCommand("system polymake " (s::Rep) ".poly F__VECTOR > tmp.poly")_
$MoreSystemCommands
getIntegerVector()
f2Vector s ==
systemCommand("system polymake " (s::Rep) ".poly F2__VECTOR > tmp.poly")_
$MoreSystemCommands
getIntegerMatrix()
hVector s ==
systemCommand("system polymake " (s::Rep) ".poly H__VECTOR > tmp.poly")_
$MoreSystemCommands
getIntegerVector()
facets s ==
systemCommand("system polymake " (s::Rep) ".poly FACETS > tmp.poly")_
$MoreSystemCommands
getIntegerMatrix()
vertices s ==
systemCommand("system polymake " (s::Rep) ".poly VERTICES > tmp.poly")_
$MoreSystemCommands
getIntegerMatrix()
simple s ==
systemCommand("system polymake " (s::Rep) ".poly SIMPLE > tmp.poly")_
$MoreSystemCommands
getBoolean()
)abbrev domain TOPAZ SimplicialComplex
SimplicialComplex(): Exports == Implementation where
Exports == with
coerce: % -> OutputForm
-------------------------------------------------------------------------------
-- topaz constructions --
-------------------------------------------------------------------------------
boundaryComplex: Polytope -> %
-------------------------------------------------------------------------------
-- topaz properties --
-------------------------------------------------------------------------------
facets: % -> List Set Integer
Implementation == add
Rep := String
coerce p == coerce(p)$Rep
String2SetInteger: String -> Set Integer
String2SetInteger r ==
s: String := delete(delete(r, #r), 1)
brace(map(PARSE_-INTEGER(#1)$Lisp, split(s, char(" "))$String)_
$FiniteLinearAggregateFunctions2(String, List String, Integer, _
List Integer))$Set(Integer)
getListSetInteger: () -> List Set Integer
getListSetInteger ==
f := open(("tmp.poly")::FileName)$TextFile
read!(f)$TextFile
m: List Set Integer := []
r: String
while not endOfFile?(f) repeat
r := read!(f)$TextFile
if not empty? r then
m := cons(String2SetInteger r, m)
close!(f)$TextFile
reverse m
-------------------------------------------------------------------------------
-- topaz properties --
-------------------------------------------------------------------------------
facets s ==
systemCommand("system polymake -A topaz " (s::Rep) ".top FACETS > tmp.poly")_
$MoreSystemCommands
getListSetInteger()
-------------------------------------------------------------------------------
-- topaz constructions --
-------------------------------------------------------------------------------
boundaryComplex s ==
systemCommand("system boundary__complex " (s pretend String) ".top " (s pretend String) ".poly")_
$MoreSystemCommands
s pretend String :: Rep
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Polymake#msg20050824021437-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 04:29:11 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7qbe-0000CH-7F
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 04:27:34 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7qbC-00005Y-Cm
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 04:27:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7qaZ-0008Gy-SK
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 04:26:29 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7qTy-0006cU-80
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 04:19:38 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7q6I-00040r-Uv
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 03:55:12 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 79E5E65DAA
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 03:54:08 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id C1F8A65DA8
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 03:54:04 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Re: aldor patches
Date: Wed, 24 Aug 2005 03:54:02 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FD4C@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach: yes
MIME-Version: 1.0
Content-Type: multipart/mixed; boundary="----_=_NextPart_001_01C5A880.FF257BF6"
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Re: aldor patches
Thread-Index: AcWnxfe2Cwgyg60rSBWkiM+WcpiEhAAuH++w
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Peter Broadbery" <peter.broadbery@ntlworld.com>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 08:27:29 -0000
This is a multi-part message in MIME format.
------_=_NextPart_001_01C5A880.FF257BF6
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
Peter,
I would like to install your aldor patches on the MathAction
Website. My idea is to be able to include Aldor source files
on MathAtion something like this
\begin{aldor}
Aldor code
\end{aldor}
SPAD code can already be compile on MathAction like this:
\begin{axiom}
ABBREV ...
SPAD code
\end{axiom}
I want to be able to call both SPAD and Aldor modules from Axiom
commands like this:
\begin{axiom}
Call to Aldor routines etc.
\end{axiom}
To that end, I have updated the Axiom sources to tla archive
Patch-44 and also applied the patches to INTERP that you sent
to Tim earlier. As describedf in your email, I extracted
src_aldor.tgz to the axiom/src directory and then I ran 'make'.
The log file from the make is attached. It also shows the
versions of javac and aldor installed on the MathAction
(axiom-developer) server.
In the log file you will note that the make failes starting
at this point:
...
/home/page/repository/axiom--main--1/src/aldor/Make.rules:31:
/home/page/reposit
ory/axiom--main--1/src/aldor/Make.functions: No such file or directory
/home/page/repository/axiom--main--1/src/aldor/Make.rules:34:
/home/page/reposit
ory/axiom--main--1/src/aldor/Make.axiom: No such file or directory
/home/page/repository/axiom--main--1/src/aldor/Make.rules:35:
/home/page/reposit
ory/axiom--main--1/src/aldor/Make.aldor: No such file or directory
/home/page/repository/axiom--main--1/src/aldor/types.mk:41:
/home/page/repositor
y/axiom--main--1/int/aldor/all_spad_types.mk: No such file or directory
...
----------
Perhaps this failure has to do with the problems you mentioned
below. I have tried to run document manually on all of the
*.pamphlet files but I still find some missing. Perhaps there are
other problems?
I would be glad to help debug this some more and I look forward to
receiving an updated version of your files.
Thanks.
On Tuesday, August 23, 2005 4:38 AM you wrote:
> ...=20
> NB: As expected, I missed a bunch of files and certain ones need
> to have 'document' run on them explicitly - I'll try to prepare
> a makefile which explicitly does the document thing first;
> attrib.as.head.pamphlet contains a minor error in the
> \author line; & should be a comma or something.
>=20
Regards,
Bill Page.
------_=_NextPart_001_01C5A880.FF257BF6
Content-Type: application/octet-stream;
name="aldor.log"
Content-Transfer-Encoding: base64
Content-Description: aldor.log
Content-Disposition: attachment;
filename="aldor.log"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------_=_NextPart_001_01C5A880.FF257BF6--
From MAILER-DAEMON Wed Aug 24 04:56:24 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7r3T-0004dR-Im
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 04:56:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7r3G-0004cQ-Gu
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 04:56:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7r25-0004Y1-Qr
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 04:56:01 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7qpW-00043Q-De
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 04:41:57 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7qm9-0006x9-Cm
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 04:38:25 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O8b4wl025019;
Wed, 24 Aug 2005 03:37:04 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050824033704-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 03:37:04 -0500
Cc:
Subject: [Axiom-developer] [polymake]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 08:56:13 -0000
Changes http://page.axiom-developer.org/zope/mathaction/Polymake/diff
--
++added:
Let's try it out:
\begin{axiom}
c4:=cube 4
hVector c4
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Polymake#msg20050824033704-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 05:48:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7rrW-0006Or-CL
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 05:48:02 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7rrS-0006My-BZ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 05:47:58 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7rrP-0006ME-QA
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 05:47:57 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7rrP-0006Ji-9R
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 05:47:55 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7rmA-000334-JP
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 05:42:30 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7O9fNwl009505;
Wed, 24 Aug 2005 04:41:23 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824044123-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 04:41:23 -0500
Cc:
Subject: [Axiom-developer] [polymake]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 09:48:00 -0000
Changes http://page.axiom-developer.org/zope/mathaction/Polymake/diff
--
??changed:
- f := open(("tmp.poly")::FileName)$TextFile
f := open(("/tmp/tmp.poly")::FileName)$TextFile
??changed:
- f := open(("tmp.poly")::FileName)$TextFile
f := open(("/tmp/tmp.poly")::FileName)$TextFile
??changed:
- f := open(("tmp.poly")::FileName)$TextFile
f := open(("/tmp/tmp.poly")::FileName)$TextFile
??changed:
- systemCommand("system cube " s ".poly " string(n))$MoreSystemCommands
systemCommand("system /usr/local/polymake/bin/cube " s ".poly " string(n))$MoreSystemCommands
??changed:
- systemCommand("system cross " s ".poly " string(n))$MoreSystemCommands
systemCommand("system /usr/local/polymake/bin/cross " s ".poly " string(n))$MoreSystemCommands
??changed:
- systemCommand("system rand01 " s ".poly " string(d) " " string(n))$MoreSystemCommands
systemCommand("system /usr/local/polymake/bin/rand01 " s ".poly " string(d) " " string(n))$MoreSystemCommands
??changed:
- systemCommand("system rand__sphere " s ".poly " string(d) " " string(n))$MoreSystemCommands
systemCommand("system /usr/local/polymake/bin/rand__sphere " s ".poly " string(d) " " string(n))$MoreSystemCommands
??changed:
- systemCommand("system polymake " (s::Rep) ".poly F__VECTOR > tmp.poly")_
systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly F__VECTOR > /tmp/tmp.poly")_
??changed:
- systemCommand("system polymake " (s::Rep) ".poly F2__VECTOR > tmp.poly")_
systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly F2__VECTOR > /tmp/tmp.poly")_
??changed:
- systemCommand("system polymake " (s::Rep) ".poly H__VECTOR > tmp.poly")_
systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly H__VECTOR > /tmp/tmp.poly")_
??changed:
- systemCommand("system polymake " (s::Rep) ".poly FACETS > tmp.poly")_
systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly FACETS > /tmp/tmp.poly")_
??changed:
- systemCommand("system polymake " (s::Rep) ".poly VERTICES > tmp.poly")_
systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly VERTICES > /tmp/tmp.poly")_
??changed:
- systemCommand("system polymake " (s::Rep) ".poly SIMPLE > tmp.poly")_
systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly SIMPLE > /tmp/tmp.poly")_
??changed:
- f := open(("tmp.poly")::FileName)$TextFile
f := open(("/tmp/tmp.poly")::FileName)$TextFile
??changed:
- systemCommand("system polymake -A topaz " (s::Rep) ".top FACETS > tmp.poly")_
systemCommand("system /usr/local/polymake/bin/polymake -A topaz " (s::Rep) ".top FACETS > /tmp/tmp.poly")_
??changed:
- systemCommand("system boundary__complex " (s pretend String) ".top " (s pretend String) ".poly")_
systemCommand("system /usr/local/polymake/bin/boundary__complex " (s pretend String) ".top " (s pretend String) ".poly")_
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Polymake#msg20050824044123-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 06:43:23 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7sj4-0007SQ-Ha
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 06:43:23 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7sj0-0007RZ-OA
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 06:43:18 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7sij-0007P3-OG
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 06:43:17 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7sig-0007IK-N4
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 06:43:00 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7scQ-0007Pd-FV
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 06:36:30 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7OAOTHw004928;
Wed, 24 Aug 2005 12:24:41 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17164.19057.211753.928501@seam101.local>
Date: Wed, 24 Aug 2005 12:22:41 +0200
To: <bill.page1@sympatico.ca>, axiom-developer@nongnu.org
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FD51@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FD51@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=2 Fuz1=2 Fuz2=2
Cc:
Subject: [Axiom-developer] RE: Polymake needs permission to write a file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 10:43:20 -0000
Page, Bill writes:
> Martin,
>
> On Wednesday, August 24, 2005 5:34 AM you wrote:
> >
> > As you might have seen, for some unknow reason everything works just
> > fine now.
>
> I changed "system cube ..." to "system /usr/local/polymake/cube ..."
> etc.
Ah!
> > Hopefully in future there will be a better way to communicate with
> > polymake. As it is, it is also rather slow...
>
> From the polymake documentation it seems like it might be possible
> to use a socket instead::
>
> polymake SOCKET_FILE
> polymake HOSTNAME:PORT
>
> If the only argument is a named unix-domain socket (ls -l marks such files
> with a little s) or an internet address, polymake connects to it and reads
> the lines with perl expressions. The output goes back to the socket.
Yes, but I have no idea how to use sockets from an axiom domain. Do you? If so,
go ahead and show me a simple example. I can then adapt the domain.
> I hope that the polymake developers find your approach Interesting.
Yes, I hope so too.
> BTW, I think there may be a problem with one of the constructors:
>
> $ /usr/local/polymake/bin/rand_sphere randsp.poly 2 3
> Illegal instruction
> $
Hm, on my machine here it works just fine... Except that I need to parametrize
the domain, to allow for polytopes with vertices being floats or rational
numbers.
I grepped my polymake directory for "Illegal instruction" but got no
match. Where does this come from?
Martin
From MAILER-DAEMON Wed Aug 24 09:12:10 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7v30-00060u-Rw
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 09:12:07 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7v2w-0005xy-Ng
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:12:03 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7v2t-0005wL-OZ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:12:01 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7v2s-0005hz-MJ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:11:58 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7uxL-0004JR-F9
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:06:15 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7OCoJHw073147
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 14:50:26 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17164.27806.962805.340493@seam101.local>
Date: Wed, 24 Aug 2005 14:48:30 +0200
To: axiom-developer@nongnu.org
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; bulk Body=many Fuz1=many
Fuz2=many
Subject: [Axiom-developer] Axiom Design Question / Polymake feedback
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 13:12:04 -0000
Dear all,
I got already nice feedback from Michael Joswig, one of the heads of
polymake. He said he liked the idea, but they are probably going for
Singular. A very clever choice indeed -- I didn't think of that one. It
probably would make sense to look at Singulars functionality and see how it
compares with axioms.
-------------------------------------------------------------------------------
-------------------------------------------------------------------------------
Apart from that I have the following design problem:
I have a domain which contains polytopes.
)abbrev domain POLYTOPE Polytope
Polytope(): Exports == Implementation where
Exports == with
-------------------------------------------------------------------------------
-- polytope constructions --
-------------------------------------------------------------------------------
cube: Integer -> %
randSphere: (Integer, Integer) -> %
-------------------------------------------------------------------------------
-- polytope properties --
-------------------------------------------------------------------------------
hvector: % -> List Integer
vertices: % -> Matrix ???
Now the problem is as follows: the type of the elements of the matrix depends
on the polytope. For some polytopes, they are Integers, for others rationals or
floats, or both.
Now one solution is simply to parametrize the domain:
)abbrev domain POLYTOPE Polytope
Polytope(R: Ring): Exports == Implementation where
Exports == with
-------------------------------------------------------------------------------
-- polytope constructions --
-------------------------------------------------------------------------------
cube: Integer -> %
if R is Float then randSphere: (Integer, Integer) -> %
vertices: % -> Matrix R
However, I'm not convinced that this is the best solution. One reason being,
that I don't really want that the user has to specify the type of his polytope
all the time.
-------------------------------------------------------------------------------
-------------------------------------------------------------------------------
-------------------------------------------------------------------------------
So here is the second idea:
have a package
)abbrev domain POLYCON PolytopeConstructions
PolytopeConstructions(): Exports == Implementation where
Exports == with
cube: Integer -> Polytope Integer
randSphere: (Integer, Integer) -> Polytope Float
and a parametrized domain as above. I'm not sure whether this is sensible,
either
-------------------------------------------------------------------------------
-------------------------------------------------------------------------------
-------------------------------------------------------------------------------
Third idea:
Make all vertices have coordinates of type Fraction Integer. If they happen to
be integers, they can be converted afterwards anyway. It is highly unlikely
that there will be anything around that does not have rational vertices.
-------------------------------------------------------------------------------
So what do you think?
Martin
From MAILER-DAEMON Wed Aug 24 09:38:22 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7vSO-00013I-Sv
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 09:38:21 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7vRs-0000wz-K5
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:37:49 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7vRj-0000t4-NM
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:37:42 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7vRh-0000oc-B3
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:37:37 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7vKv-0007gm-0q
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 09:30:38 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 7C5F264E90
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 09:29:31 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 90C6766204
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 09:29:18 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Wed, 24 Aug 2005 09:29:17 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FDBE@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: Polymake needs permission to write a file
Thread-Index: AcWomFU5655V2tYmS+iLZa8QruaucQAFPiwg
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Martin Rubey" <martin.rubey@univie.ac.at>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Polymake needs permission to write a file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 13:37:51 -0000
Martin,
On Wednesday, August 24, 2005 6:23 AM you wrote:
> I wrote:
> >
> > polymake SOCKET_FILE
> > polymake HOSTNAME:PORT
> >
>=20
> Yes, but I have no idea how to use sockets from an axiom domain.
> Do you? If so, go ahead and show me a simple example. I can then
> adapt the domain.
Use of sockets requires compilation of Axiom with the newest
version of GCL (2.6.7). At the present time the lisp functions
for access to sockets is not exposed to the user but doing this
would not be difficult. But in short it can not be done yet
without some lisp programming. I am planning to re-build Axiom
very soon with gcl-2.6.7 and Peter Broadbery's work on Aldor.
When that is done that I will be able to give you an example
of sockets in Axiom.
>=20
> > BTW, I think there may be a problem with one of the constructors:
> >
> > $ /usr/local/polymake/bin/rand_sphere randsp.poly 2 3
> > Illegal instruction
> > $
>=20
> Hm, on my machine here it works just fine... Except that I need to
> parametrize the domain, to allow for polytopes with vertices being
> floats or rational numbers.
I don't understand what you mean by "parameterize the domain". This
does not involve Axiom as such although it is called by one of your
"spad wrappers". This is just a direct call to one of the standard
polymake constructors (ref: the polymake user guide):
rand_sphere <file> <dimension> <n> [ -precision <digits> ] [ -seed <s> ]
Produce a d-dimensional polytope with n random vertices on the unit
sphere. Floating-point coordinates are used. Uniform distribution.
The default precision is set to 6 digits.
-------
On your computer if you type:
rand_sphere randsp.poly 2 3
what are the contents of the randsp.poly file?
>=20
> I grepped my polymake directory for "Illegal instruction" but got
> no match. Where does this come from?
>=20
This is an error message from the linux operating system indicating
that the program tried to execute an illegal machine instruction (i.e.
an instruction that was not allowed by the CPU in the particular state
that it was in). This one of several different kinds of program aborts
and is usually caused by a programming error or perhaps a compiler
error.
This problem might be solved if we could just re-compile the programs
from source code.
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 10:17:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7w4I-0001zL-3Z
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 10:17:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7w4B-0001vW-Dx
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:17:24 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7w47-0001tK-UB
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:17:20 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7w47-0001rn-LE
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:17:19 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7vyr-0002SA-Dz
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:11:53 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7OE21Hw002386;
Wed, 24 Aug 2005 16:02:11 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17164.32109.200149.497233@seam101.local>
Date: Wed, 24 Aug 2005 16:00:13 +0200
To: <bill.page1@sympatico.ca>
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FDBE@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FDBE@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=1 Fuz1=1 Fuz2=1
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Polymake needs permission to write a file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 14:17:26 -0000
Hi Bill,
lot of traffic today, eh?
Page, Bill writes:
> When that is done that I will be able to give you an example
> of sockets in Axiom.
OK.
> > > BTW, I think there may be a problem with one of the constructors:
> > >
> > > $ /usr/local/polymake/bin/rand_sphere randsp.poly 2 3
> > > Illegal instruction
> > > $
> >
> > Hm, on my machine here it works just fine... Except that I need to
> > parametrize the domain, to allow for polytopes with vertices being
> > floats or rational numbers.
>
> I don't understand what you mean by "parameterize the domain".
The polymake domain currently has
vertices: % -> Matrix Integer
This cannot work, since the vertices are not always integers. See my other
post.
> On your computer if you type:
>
> rand_sphere randsp.poly 2 3
>
> what are the contents of the randsp.poly file?
depends on the seed, obviously...
_application polytope
_version 2.1.0
_type RationalPolytope
AMBIENT_DIM
2
POINTS
1 -0.063018 -0.998012
1 0.840255 0.542191
1 -0.96204 -0.272908
BOUNDED
1
> > I grepped my polymake directory for "Illegal instruction" but got no
> > match. Where does this come from?
> >
>
> This is an error message from the linux operating system indicating that the
> program tried to execute an illegal machine instruction (i.e. an
> instruction that was not allowed by the CPU in the particular state that it
> was in). This one of several different kinds of program aborts and is
> usually caused by a programming error or perhaps a compiler error.
might it be that you got the wrong RPM?
> This problem might be solved if we could just re-compile the programs from
> source code.
Yes. but the developers themselves say that this is at least very time
consuming, if you don't have enough memory on your machine. Well, I guess you
have...
Martin
From MAILER-DAEMON Wed Aug 24 10:35:01 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7wLD-0002mI-Nq
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 10:35:00 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7wL8-0002jm-M2
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:34:54 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7wL5-0002hW-39
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:34:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7wL4-0002fW-VX
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:34:51 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7wGo-0004Vt-J5
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:30:26 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 95FB6662AD
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 10:29:20 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 7F70C662A6
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 10:29:04 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Axiom Design Question / Polymake feedback
Date: Wed, 24 Aug 2005 10:29:03 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FDFD@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
X-MS-Has-Attach:
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Axiom Design Question / Polymake feedback
Thread-Index: AcWorgOj65K1Jw+LRsOut71qhNBI6gABmfkg
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Martin Rubey" <martin.rubey@univie.ac.at>,
<axiom-developer@nongnu.org>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 14:34:57 -0000
Martin,
On Wednesday, August 24, 2005 8:49 AM you wrote:
> ...=20
> Now the problem is as follows: the type of the elements of the
> matrix depends on the polytope. For some polytopes, they are
> Integers, for others rationals or floats, or both.
Ideally, I think you might want to return something like:
vertices: % -> Matrix Union (Integer, Float, Fraction Integer)
but unfortunately Axiom does not understand that domain
Union (Integer, Float, Fraction Integer) is actually a RING so
you are not allowed to call it a Matrix.
Instead you might use, for example:
vertices: % -> List List Union (Integer, Float, Fraction Integer)
or maybe
vertices: % -> TwoDimensionalArray Union (Integer, Float, Fraction
Integer)
but note that for some reason
(11) -> x: TwoDimensionalArray Union (Integer, Float, Fraction Integer)
:=3Dnew(2,2,0)
(1) [0,0,0,0]
Type: TwoDimensionalArray Union(Integer,Float,Fraction
Integer)
does not print properly (as an rectangular array).
I think there are two possible bug reports here:
1) Union ( list of alternatives that are coercible to some ring )
should be a RING
2) display of TwoDimensionalArray of type Union(...) is not properly
formatted
Do you agree?
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 11:09:17 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7wsP-0004rq-BB
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 11:09:17 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7wsI-0004nu-HE
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:10 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7wsG-0004mv-2T
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:08 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7wsF-0004mZ-Rf
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:07 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7wom-0007bB-Fe
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:05:32 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 2964A662EE
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:04:26 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id B6FEC662E7
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:04:05 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Wed, 24 Aug 2005 11:04:05 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FE22@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: Polymake needs permission to write a file
Thread-Index: AcWotxEKGrFjxvU9SjCQQmITSgPkwQAAU6aw
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Martin Rubey" <martin.rubey@univie.ac.at>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Polymake needs permission to write a file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 15:09:14 -0000
Martin,
On Wednesday, August 24, 2005 10:00 AM you wrote:
>=20
> lot of traffic today, eh?
>=20
Yah, we're making up for lost time. :)
> I wrote:
> >
> > I don't understand what you mean by "parameterize the domain".
>=20
> The polymake domain currently has
>=20
> vertices: % -> Matrix Integer
>=20
> This cannot work, since the vertices are not always integers.
> See my other post.
Yes, I understand. But this is a separate problem. The problem
that I mention below is a program abort in a polymake constructor.
>=20
>=20
> > On your computer if you type:
> >
> > rand_sphere randsp.poly 2 3
> >
> > what are the contents of the randsp.poly file?
>=20
> depends on the seed, obviously...
>=20
> _application polytope
> _version 2.1.0
> _type RationalPolytope
>=20
> AMBIENT_DIM
> 2
>=20
> POINTS
> 1 -0.063018 -0.998012
> 1 0.840255 0.542191
On the axiom-developer server the result is just "Illegal instruction".
> ...=20
> might it be that you got the wrong RPM?
>
I don't think so. The developers only provide one rpm file for linux
systems.
> > This problem might be solved if we could just re-compile the
> > programs from source code.
>=20
> Yes. but the developers themselves say that this is at least very
> time consuming, if you don't have enough memory on your machine.
> Well, I guess you have...
We are talking about Axiom here, remember. It is nothing for us if the
build of Axiom talks all day long! So what if building polymake takes
a couple of hours?
Anyway as far as I can tell, there are some errors in the polymake
source code. I would be glad to discuss this with the developers.
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 11:09:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7wt0-00055Q-90
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 11:09:54 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7wsP-0004rS-Va
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:20 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7wsI-0004o3-5H
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:11 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7wsH-0004mZ-MC
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:09 -0400
Received: from [206.46.252.46] (helo=vms046pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7wnW-0007VO-77
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:04:14 -0400
Received: from cunyvm.cuny.edu ([141.155.140.37])
by vms046.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILQ007VAF56DC64@vms046.mailsrvcs.net> for
axiom-developer@nongnu.org; Wed, 24 Aug 2005 10:03:07 -0500 (CDT)
Date: Wed, 24 Aug 2005 11:03:10 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Axiom Design Question / Polymake feedback
To: bill.page1@sympatico.ca
Message-id: <430C8C2E.7B340E8C@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FDFD
@Corporateex01.Corporate.drdc-rddc.gc.ca>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 15:09:22 -0000
I am jumping in here, so excuse me if comments are out of context.
"Page, Bill" wrote:
>
> I think there are two possible bug reports here:
>
> 1) Union ( list of alternatives that are coercible to some ring )
> should be a RING
No! In your case, where the arguments of the union form an ascending chain of
rings, that would be true. In general, you cannot do arithmetic with operands
from different rings. Think about Union(INT, MATRIX INT).
The best one can do in Martin's case would be, as you noted,
Union(MATRIX INT, MATRIX FRAC INT, MATRIX FLOAT)
To use List List Union(INT, FRAC INT, FLOAT) would require one to do case
statements in every entry of the matrix and also lose the ring properties of
matrices.
> 2) display of TwoDimensionalArray of type Union(...) is not properly
> formatted
Seems like a bug.
William
From MAILER-DAEMON Wed Aug 24 11:12:42 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7wvi-0005Wm-9V
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 11:12:42 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7wsn-0004z6-Hw
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:42 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7wsf-0004xR-1Q
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:33 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7wse-0004mZ-Sp
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:09:32 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7wps-0007hJ-0B
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:06:40 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7OF2xHw025260;
Wed, 24 Aug 2005 17:03:04 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17164.35766.860416.664190@seam101.local>
Date: Wed, 24 Aug 2005 17:01:10 +0200
To: <bill.page1@sympatico.ca>
Subject: RE: [Axiom-developer] Axiom Design Question / Polymake feedback
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FDFD@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FDFD@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4249; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 15:12:40 -0000
Page, Bill writes:
> I think there are two possible bug reports here:
>
> 1) Union ( list of alternatives that are coercible to some ring )
> should be a RING
No.
For example:
U := Union(MPOLY([x,y],INT), PF 5); x: U := 2*x; y: U := 3;
x+y does not make much sense. And asking the system to see whether there is a
common supertype is asking for quite a lot and is probably error prone.
> 2) display of TwoDimensionalArray of type Union(...) is not properly
> formatted
Yes.
Martin
From MAILER-DAEMON Wed Aug 24 11:23:28 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7x68-0002fh-1W
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 11:23:28 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7x63-0002cP-LT
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:23:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7x60-0002Zo-Qp
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:23:20 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7x5z-0002Wj-Rz
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:23:19 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7wyf-0000JA-8n
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:15:45 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id CCEEE66304
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:14:38 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id A47A6662F8
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:14:26 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Axiom Design Question / Polymake feedback
Date: Wed, 24 Aug 2005 11:14:25 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FE31@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Axiom Design Question / Polymake feedback
Thread-Index: AcWovR9pUv659PggTra/SL3X0oUd4QAALquA
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: <wyscc@cunyvm.cuny.edu>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 15:23:25 -0000
William,
On Wednesday, August 24, 2005 11:03 AM William Sitt wrote:
> "Page, Bill" wrote:
> >
> > I think there are two possible bug reports here:
> >
> > 1) Union ( list of alternatives that are coercible to some ring )
> > should be a RING
>=20
> No! In your case, where the arguments of the union form an ascending
> chain of rings, that would be true. In general, you cannot do
arithmetic
> with operands from different rings. Think about Union(INT, MATRIX
INT).
You are right. I was wrong. I didn't stop to think about it long enough.
Thanks.
>=20
> The best one can do in Martin's case would be, as you noted,
>=20
> Union(MATRIX INT, MATRIX FRAC INT, MATRIX FLOAT)
>=20
Yes, that seems workable to me.
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 11:23:28 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7x68-0002fx-BF
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 11:23:28 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7x63-0002bR-Lp
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:23:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7x5x-0002Xd-P2
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:23:18 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7x5x-0002Wj-Dc
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:23:17 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E7x23-0000hd-G2
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:19:15 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7OFHxwl031569;
Wed, 24 Aug 2005 10:18:00 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824101745-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 10:17:59 -0500
Cc:
Subject: [Axiom-developer] [#200 display of TwoDimensionalArray of type
Union(...) is not properly formatted] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 15:23:25 -0000
Changes http://www.axiom-developer.org/zope/mathaction/200DisplayOfTwoDimensionalArrayOfTypeUnionIsNotProperlyFormatted/diff
--
For example:
\begin{axiom}
n:TwoDimensionalArray Union ( Integer, Float):=new(2,2,0)
\end{axiom}
should display a rectangular array of numbers.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/200DisplayOfTwoDimensionalArrayOfTypeUnionIsNotProperlyFormatted#msg20050824101745-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 11:38:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7xKf-0000nq-AS
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 11:38:29 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7xKU-0000jC-6K
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:38:18 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7xKH-0000cg-Ay
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:38:10 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7xKG-0000XP-PA
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:38:04 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7x8N-0001Qs-1h
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:25:47 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7OFMnHw032086;
Wed, 24 Aug 2005 17:22:53 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17164.36956.605287.422689@seam101.local>
Date: Wed, 24 Aug 2005 17:21:00 +0200
To: <bill.page1@sympatico.ca>
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FE22@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FE22@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=1 Fuz1=1 Fuz2=1
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Polymake needs permission to write a file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 15:38:25 -0000
Page, Bill writes:
> I don't think so. The developers only provide one rpm file for linux
> systems.
No: Quoting http://www.math.tu-berlin.de/polymake/download_choice.html
Binary packages for RedHat, SuSE, and other Linux distributions with RPM-based
software management
End user package
polymake-2.1.0-2.athlon.rpm 10046242 20:32 Jan 21 2005
polymake-2.1.0-2.i586.rpm 8716518 19:53 Jan 21 2005
polymake-2.1.0-2.i686.rpm 9995110 21:11 Jan 21 2005
Developer package
polymake-devel-2.1.0-2.athlon.rpm 878609 20:32 Jan 21 2005
polymake-devel-2.1.0-2.i586.rpm 934404 19:53 Jan 21 2005
polymake-devel-2.1.0-2.i686.rpm 877174 21:11 Jan 21 2005
These packages were compiled under SuSE 9.0. They should fit the recent
versions of other Linux distributions too.
In older distributions the RPM installation might fail complaining about
unresolved dependences on GLIBC or something similar. In this unfortunate case
you will have to take the source RPM and recompile it: rpm --rebuild
polymake-*.src.rpm or rpmbuild --rebuild polymake-*.src.rpm .
Packages are compiled for various CPU models. The i586 variant is a generic
Pentium architecture used in SuSE by default, i586 is optimized for Pentium 4,
and athlon for AMD Athlon XP. Be sure to pick the package most suitable to your
hardware.
From MAILER-DAEMON Wed Aug 24 12:14:04 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7xt5-0002Ro-TO
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 12:14:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7xqf-0001mE-Rg
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:11:34 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7xqR-0001eH-SW
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:11:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7xqR-0001Is-O7
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:11:19 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7xcl-0003jv-34
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:57:11 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 5156066379
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:56:04 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 8851D66377
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:55:53 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Wed, 24 Aug 2005 11:55:52 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FE4A@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: Polymake needs permission to write a file
Thread-Index: AcWowytR6/lKs58iRJKo7x+a6SYI5QAAIr7Q
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Martin Rubey" <martin.rubey@univie.ac.at>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Polymake needs permission to write a file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 16:14:02 -0000
On Wednesday, August 24, 2005 11:38 AM I wrote:
> ...=20
> I will download and install the i586 version and see if that corrects
> the problem.
>
Ok. That did correct the problem. The rand_sphere command no longer
aborts and now produces the following output (for example):
[root@axiom-developer page]# /usr/local/polymake/bin/rand_sphere
randsp.poly 2 3
[root@axiom-developer page]# cat randsp.poly
_application polytope
_version 2.1.0
_type RationalPolytope
AMBIENT_DIM
2
POINTS
1 -0.962592 -0.270955
1 0.899836 -0.436229
1 -0.853837 0.52054
BOUNDED
1
[root@axiom-developer page]#=20
------
So it's over to you to solve the result data type problem.
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 12:16:24 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7xvM-0003BU-Jd
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 12:16:24 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7xvK-0003Ae-NS
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:16:22 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7xvJ-0003AL-W0
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:16:22 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7xqm-0001Is-49
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:11:40 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7xLa-0002sP-El
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 11:39:27 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id ED62366331
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:38:16 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 2418566336
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 11:38:05 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Wed, 24 Aug 2005 11:38:04 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FE42@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: Polymake needs permission to write a file
Thread-Index: AcWowCWhQfI+J6qMRpeaCmW3nMPSAgAAI8fg
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Martin Rubey" <martin.rubey@univie.ac.at>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Polymake needs permission to write a file
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 16:16:23 -0000
Martin,
On Wednesday, August 24, 2005 11:21 AM you wrote:
>=20
> Page, Bill writes:
>=20
> > I don't think so. The developers only provide one rpm file for
linux
> > systems.
>=20
> No: Quoting http://www.math.tu-berlin.de/polymake/download_choice.html
>=20
> Binary packages for RedHat, SuSE, and other Linux distributions with
> RPM-based software management
>=20
> End user package
> polymake-2.1.0-2.athlon.rpm 10046242 20:32 Jan 21 2005
>=20
> polymake-2.1.0-2.i586.rpm 8716518 19:53 Jan 21 2005
>=20
> polymake-2.1.0-2.i686.rpm 9995110 21:11 Jan 21 2005
>=20
> Developer package
> polymake-devel-2.1.0-2.athlon.rpm 878609 20:32 Jan 21 2005
>=20
> polymake-devel-2.1.0-2.i586.rpm 934404 19:53 Jan 21 2005
>=20
> polymake-devel-2.1.0-2.i686.rpm 877174 21:11 Jan 21 2005
>=20
Yes, for different *hardware* but not different versions of linux.
I installed the end user package for the Intel 686 machine:
[page@axiom-developer page]$ ls -l -d poly*.rpm
-rw-rw-r-- 1 page page 9995110 Jan 21 2005 polymake-2.1.0-2.i686.rpm
[page@axiom-developer page]$ uname -a
Linux axiom-developer.org 2.6.11.10-RH1956 #9 SMP Fri May 20 20:48:44
CDT 2005 i686 i686 i386 GNU/Linux
[page@axiom-developer page]$
--------
But this is a shared *virtual* server so although this is a i686 machine
maybe we do not get to use the whole i686 instruction set?
Did you install the i586 version?
I will download and install the i586 version and see if that corrects
the problem.
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 12:33:02 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7yBL-0002ZS-Ro
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 12:33:00 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7yB9-0002Ua-R4
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:32:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7yAx-0002Nl-HU
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:32:32 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7yAx-0002Kd-7g
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:32:31 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7y18-0005s4-UP
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:22:23 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id DE61E663A3
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 12:21:15 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id CF0CE663A8
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 12:21:01 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Wed, 24 Aug 2005 12:21:01 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FE54@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: AxiomUI graphics (was: [Zaheda Bhorat] SOC Project Articles for
Doctor Dobbs Journal)
Thread-Index: AcWock6KJa274iW6QTSE/g8fOeGPLgAVH3ag
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Kai Kaminski" <kai.kaminski@gmx.de>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org, bob@mcelrath.org
Subject: [Axiom-developer] AxiomUI graphics (was: [Zaheda Bhorat] SOC
Project Articles for Doctor Dobbs Journal)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 16:32:46 -0000
Kai,
On Wednesday, August 24, 2005 2:02 AM I wrote:
>=20
> > ...
> > 3. Change the high-level drawing code, so that instead of calling
> > the low-level drawing code it just prints the list lists of
> > points, which are to be connected by lines, to standard output
> > with markers to ease extraction. This might still break existing
> > code.
> >
> > The approach I'm taking now is essentially #3 with the difference
> > that I copied algebra/draw.spad.pamphlet to uidraw.spad.pamphlet
> > and modified that. It actually seems to work. Right now I'm
> > integrating this with the gui, so that on startup uidraw.spad gets
> > loaded.
>=20
> Excellent. That is exactly the right way to proceed.
>
It occurs to me to ask if you are already familiar with the following
Axiom commands:
vp1:=3Ddraw(sin(x), x=3D%pi/10..%pi)
g1:=3DgetGraph(vp1,1)
pointLists(g1)
...
g2:=3DmakeGraphImage(lineSegments, lineColors, pointColors, lineSize)
pointLists(g2)
See for example
http://www.axiom-developer.org/zope/mathaction/AxiomGraphics
Perhaps uidraw is producing output similar to this?
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 13:33:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7z7W-0002nY-Et
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 13:33:02 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7z7R-0002mA-RD
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 13:32:59 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7z7L-0002lJ-Ra
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 13:32:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7z5K-0001gx-Ee
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 13:30:46 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E7ykK-0001Z2-VV
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 13:09:05 -0400
Received: (qmail invoked by alias); 24 Aug 2005 17:07:55 -0000
Received: from p549F6280.dip.t-dialin.net (EHLO Pupone.local) [84.159.98.128]
by mail.gmx.net (mp007) with SMTP; 24 Aug 2005 19:07:55 +0200
X-Authenticated: #7158753
To: bill.page1@sympatico.ca
Subject: Re: [Axiom-developer] AxiomUI graphics
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FE54@Corporateex01.Corporate.drdc-rddc.gc.ca>
From: Kai Kaminski <kai.kaminski@gmail.com>
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FE54@Corporateex01.Corporate.drdc-rddc.gc.ca>
(Bill Page's message of "Wed, 24 Aug 2005 12:21:01 -0400")
Date: Wed, 24 Aug 2005 19:08:28 +0200
Message-ID: <m2u0hf2rg3.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Cc: axiom-developer@nongnu.org, bob@mcelrath.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 17:33:00 -0000
"Page, Bill" <Bill.Page@drdc-rddc.gc.ca> writes:
> On Wednesday, August 24, 2005 2:02 AM I wrote:
>>
>> > ...
>> > 3. Change the high-level drawing code, so that instead of calling
>> > the low-level drawing code it just prints the list lists of
>> > points, which are to be connected by lines, to standard output
>> > with markers to ease extraction. This might still break existing
>> > code.
>> >
>> > The approach I'm taking now is essentially #3 with the difference
>> > that I copied algebra/draw.spad.pamphlet to uidraw.spad.pamphlet
>> > and modified that. It actually seems to work. Right now I'm
>> > integrating this with the gui, so that on startup uidraw.spad gets
>> > loaded.
>>
>> Excellent. That is exactly the right way to proceed.
>>
>
> It occurs to me to ask if you are already familiar with the following
> Axiom commands:
>
> vp1:=draw(sin(x), x=%pi/10..%pi)
> g1:=getGraph(vp1,1)
> pointLists(g1)
> ...
> g2:=makeGraphImage(lineSegments, lineColors, pointColors, lineSize)
> pointLists(g2)
I know these commands and I actually had working code using this
approach. The problem with this is that it messes up the history.
Luckily uidraw.spad is just draw.spad with a few lines added. It's
fairly trivial, really.
Kai
From MAILER-DAEMON Wed Aug 24 14:12:27 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7zjf-0008JU-Kp
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 14:12:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7zhr-0007sE-U8
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:40 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7zhZ-0007lF-Ts
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7zhW-0007cS-Pq
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:14 -0400
Received: from [206.46.252.42] (helo=vms042pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7zPi-0005ul-Kv
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 13:51:50 -0400
Received: from cunyvm.cuny.edu ([141.155.160.233])
by vms042.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILQ00INQMWHKLB3@vms042.mailsrvcs.net> for
axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:50:42 -0500 (CDT)
Date: Wed, 24 Aug 2005 13:50:44 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question - part 2
To: C Y <smustudent1@yahoo.com>
Message-id: <430CB374.A33E2E7F@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050824040100.84708.qmail@web31704.mail.mud.yahoo.com>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 18:12:26 -0000
C Y wrote:
> So you're saying that dimension(23*J) should return an error, because
> without context it's not clear what physical dimension is being
> described? I agree that if the knowledge exists in the definitions it
> should be carried along, but without context, as in the above example,
> what should be done?
Let's be clear. You are requesting a reverse dimensional analysis in essence.
Given a rational expression in the dimensions (basic or derived), you want to
give as meaningful as possible an interpretation (or list of interpretations)
that is relevant to the expert user.
>From you statement:
dimension(23*J)
you are assuming that J is a reserved variable in Axiom, or at least
recognizable by the system just like %pi. I think using up name space with
short names like "J" for Joule, etc is going to be very problematic with the
interpreter. My proposal puts these only as output strings, and does not allow
their direct manipulations as variables. To input 23 J, one would have to do:
x := unitEnergy(23)$SI(INT)
assuming Joule = Newton-meter is the default energy unit in SI. Under this
setting, one can create a function
dimension: % -> Dimension
where for example, dimension(x) would return
"Energy"
(the unit may or may not be given, depending on design; and I think if unit is
what is intended, then we should have:
unit: % -> OutputForm
and
unit(x)
"J"
or in basic units:
"N-m"
(adopting notation from SI). Since I view units I/O as only decorations, they
are all strings and not to be manipulated by arithmetic (but string operations
are allowed of course). All this works in the current proposed scheme.
Now the reverse dimension analysis (RDA) is a totally different problem. The
input to RDA is the outputform of a physical quantity (symbolic or numeric),
perhaps inputted as a string (as I discussed, I object strongly to using up user
namespace). Assuming the string uses SI convention, we can write a parser based
on the grammar defined, first to reduce every additive term to basic units in
the seven basic dimensions, verify that they are all the same, then
re-interpreting the resulting dimension expression in terms of plausible
physical quantities depending on the subject matter expertise. This requires a
substantial amount of math: basically, assuming you have the taxonomy for units
in the expert area, you have to solve a dimension analysis problem, which is a
(fairly large size) linear diophantine problem. A solution is of course
guaranteed since the dimensions of the given terms in the input expression are
solutions, but more likely, you are going to have many solutions (for example,
energy can be produced various ways: potential and kinetic, rotational, work,
Einstein's mass-energy exchange, etc). A decision criterion to choose the
"simplest", perhaps by the minimum total sum of the exponents of all the
basic/derived dimensions allowed, would then present the user with the result or
set of results.
I think the usefulness of such a RDA is minimal. A user typically knows what
that is when he forms the expression. Perhaps letting the system check the
consistency of terms in dimension is the only useful feedback, but that does not
require RDA.
> I propose a convention - it is likely that any use Axiom's unit package
> will see will be from the physics community, since that is the most
> math heavy of the basic physical sciences. I propose we create a
> variable that can be set to select pre-defined behaviors for cases
> where a physical unit corresponds to more than one dimension. For the
> PHYSICS convention, I suggest that the above command return a dimension
> of Energy, with perhaps a cautionary that this mapping is not unique in
> general. This would correspond to what I would expect. (Also, are
> Energy and Work different physical dimensions?) A mode STRICT might be
> created where the above returns a description in terms of the seven
> base dimensions, which will be correct without pinning the definition
> specifically to one derived dimension. What should be the default I
> don't know.
Having a system setting to choose a particular unit system as default is
certainly desirable and possible. Axiom has extensive )set commands. The
convenience gained after this )set command
)set unit SI
will be that the following commands do not require a package call:
unitMass, etc
dimension
unit
>
> I think there could be again modes of operation - in this case fuzzy
> (which goes ahead and assumes if MKS units are the same the derived
> quantities can safely be considered the same) and strict, which will
> raise flags and/or provide correct but less useful answers. I
> guarantee that making Axiom too strict in a correctness sense without
> providing a way to get things done will lose it much of its audience in
> the unit game, since physicists as a rule are not overly concerned with
> mathematical rigor. (Compared to mathematicians, anyway ;-) I think
> allowing both strict mode and fuzzy mode is a good idea, which allows
> for both full correctness if needed and a more practical working
> environment if desired. I invite comment on this, since I might have
> just stomped Axiom philosophy into the carpet :-/. At a fair number of
> usage levels, people might not even know what Moment IS, much less
> whether the dimension of the quantity found in the book is Work or not.
> (The book itself might make an unstated assumption, which a student
> would have no way to be aware of but an expert in the field would know.
> The student would want to make such assumptions initially, and only if
> problems arose go back and check hidden assumptions. (At least, that's
> my guess ;-)
Being "fuzzy" is certainly against the philosophy of Axiom, but I suppose as
long as it is clearly pointed out, there is no reason not to allow it. Martin
has a "guessing" program for sequences, and it is very useful. So go ahead. I
agree that Axiom suffered commercial failure for its inflexibility.
> But, I'll go ahead on it, since it could be Energy
> and Work don't always interchange either...
No, energy is energy and Work is energy, so they are interchangeble. (For
example, work against friction produces heat).
> Don't we WANT the units and dimensions to take namespace, at least at
> user toplevel? If the UNITS package were active, we certainly don't
> want people using unit names for anything ELSE - it would cause waaay
> too much confusion. I would have viewed it as a design goal that (3
> meter + 5 feet)::meter work as expected.
Well, in my proposal, units names are implicit by using declarative functions
(like unitMass()) in a particular domain of the UnitSystem category. I have
already argued against the use of reserved variables for units. People should be
allowed to use J, nm, etc as their own variables. All system variables (except
domain abbreviations and names) have to be preceded by a % sign, as in %pi. You
have to teach the interpreter to recognize these special names.
> I guess I would prefer to be able to either "use" the SI system, and
> allow local overrides through simple syntax, or "set" the SI system,
> and insist on everything being rendered using it.
As long as you are willing to do the programming :-)
William
From MAILER-DAEMON Wed Aug 24 14:12:34 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7zjm-0008Ln-2D
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 14:12:34 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7zhr-0007s1-86
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:35 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7zhZ-0007k0-Tp
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:18 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7zhV-0007cS-QI
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:13 -0400
Received: from [206.46.252.44] (helo=vms044pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7zPx-0005vh-1o
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 13:52:05 -0400
Received: from cunyvm.cuny.edu ([141.155.160.233])
by vms044.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILQ00DZCMWW38B4@vms044.mailsrvcs.net> for
axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:50:57 -0500 (CDT)
Date: Wed, 24 Aug 2005 13:50:59 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: C Y <smustudent1@yahoo.com>
Message-id: <430CB383.369B6DD0@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050824043834.34620.qmail@web31706.mail.mud.yahoo.com>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 18:12:31 -0000
C Y wrote:
>
> --- William Sit <wyscc@cunyvm.cuny.edu> wrote:
>
> > Actually, we can even do better, without the user doing a
> > setUnitLength(nm), if the only reason to use nm instead of
> > m is to get rid of annoying powers of 10. For numerical
> > output (the problem does not arise for symbolic output), the
> > output coerce routine can sense the magnitude of the value in the
> > unit and shift the decimal place appropriately and adjusting
> > using a suitable prefix. So one stays in SI but the output
> > gets rid of the powers of 10.
>
> Are nanometer, etc. considered part of SI then?
SI provides standardized prefixes and abbrevations in the range 10^(-24) to
10^(24), one for every three unit change in the exponent, which are applicable
to ANY physical quantity (with the exception of kilogram, see SI pages, to avoid
double prefixes). More interestingly, SI also has prefixes and abbreviations for
the computer industry: kilibit (1024 bits) vs kilobit (1000 bits). Axiom
implementation definitely should adhere to SI standards and implement all their
standardized and accepted units.
> Nifty idea, and one
> worth following up on, but I would still like to peg things at nm, for
> the following reason/scenario: Let's say I know that my calculations
> and data SHOULD be coming out in the nm range. I set my unit for
> length to be nm, proceed, and mostly see small numbers of nm. All well
> and good, until suddenly I have a huge or very small number appearing.
> Red flag! Not close to 1 nm. With autoscaling, the number would have
> stayed near one and the unit would have changed. Sometimes useful, I
> agree, but I can see arguments for both sides here.
Since SI provides prefixes only for every thousand-fold change, if all
computations you expect are in the scale of 1 nm, you would probably spot these
errors in hundreds of nm. But anyway, every scientist should be aware of units
attached to quantities, especially in graphs! I think autoscaling is good enough
(Note, all digital meters autoscales! Scientists are used to that.)
I think whoever implements this should first program for the correct framework,
and provide basic unit systems based on SI. Then as usage expands, add more unit
system domains. Then if that is not enough, add more friendly user settings. I
am fairly convinced that the framework proposed earlier is able to handle and
facilitate this plan of development. I would like to hear more critique from
others.
Thanks for this interesting discussion.
William
From MAILER-DAEMON Wed Aug 24 14:13:22 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7zkY-0000EU-6l
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 14:13:22 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7zkG-0000Bu-M5
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:13:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7zhb-0007ka-9N
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7zhW-0007cS-0c
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:10:14 -0400
Received: from [206.46.252.48] (helo=vms048pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7zPr-0005vH-3V
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 13:51:59 -0400
Received: from cunyvm.cuny.edu ([141.155.160.233])
by vms048.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILQ003G1MWQ8MM0@vms048.mailsrvcs.net> for
axiom-developer@nongnu.org; Wed, 24 Aug 2005 12:50:51 -0500 (CDT)
Date: Wed, 24 Aug 2005 13:50:54 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: C Y <smustudent1@yahoo.com>
Message-id: <430CB37E.850BA8B4@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <20050824043401.91979.qmail@web31704.mail.mud.yahoo.com>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 18:13:05 -0000
C Y wrote:
> > Again, this would complicate the implementation of the domains for
> > UnitSystem category. Would you allow, for example, in SI(S),
> > setUnitLength(ft)? (I would vote a definite No).
>
> I would vote yes, because I can't predict what I'll want to do with my
> unit environment.
> I can't imagine all the
> ways and situations units can be applied, so I don't want to restrict
> the user runtime environments that can be set up and customized.
Fair enough. But there is no reason why one cannot first convert ft to m, use SI
as is, then convert back from m to ft. If a user really want to use ft instead
of m but retain all other SI units ALWAYS, then create a MYUnitSystem domain,
and use )set unit MYUnitSystem. The implementation would be so much easier and
you still retain the flexibility. Flexibility and generality may complicate
usage as well as simplify usage. We have to balance the them.
> > > > The user unit system can mix units if that is preferred.
> > >
> > > So you're envisioning a separate level of logic which handles user
> > > settings, and the underlying one organized as outlined below?
> >
> > Yes, but that scenario is not encouraged (indeed discouraged), even
> > though it can be done.
>
> But it should be doable, readily, IMHO. That's what computers are for
> - to handle the grunt work associated with such decisions.
As long as you are willing to do the programming :-)
> > All I am saying is that even if an equation is dimensionally
> > correct, it could still be wrong (in terms of physics) because
> > of this non-unique mapping. We certainly cannot just use
> > dimensional analysis (reducing to basic dimensions) to
> > discover that Work = Moment is wrong.
>
> No. However, the ultimate burden in such cases will rest with the
> scientist in question, and it may be that the dimensional correctness
> of the equation is useful information to him/her. Hence my suggestion
> for two modes on dealing with such things.
Dimensional correctness does not require RDA or even DA (DA is used to guess an
empirical law).
[snipped]
> There is also the case where you want to know what
> quantity/dimension an expression is.
>
Reverse dimensional analysis, is useful for providing the user with possibly
different interpretation of the dimension of an expression. Checking dimensional
correctness is a different, though related, issue.
> > I really don't think a scientific worker would use slugs with
> > MKS.
> That was just an example. nanometers instead of meters, or light years
> instead of meters, would be more realistic examples.
>
> > Don't mix unit systems! Convert first before you start the
> > computations, and convert back if you really have to.
>
> But that's just it - part of the reason for implementing a Unit system
> in a CAS in the first place is to get it to do all the converting and
> other annoyingly boring and error prone tasks for you - both for input
> and output.
Sure, but that does not mean one has to do it for all possible conversions, only
the most useful ones should be provided, with functionality that allows, though
not as convenient, the very special user to change units.
> > So pi has unit degree/radian (even though that is dimensionless)
> > when it is viewed as a unit conversion factor between radians and
> > degrees.
>
> I'm confused - when does it hurt to trivially reduce or ignore this?
Ignoring it in this example would mean the equation is not dimensionally
balanced, and worse, some may think that degree = radian!
> > Dimensionless is not always without dimension
>
> That makes no sense to me at all - when is it useful to consider a
> dimensionless quantity to have dimension? Isn't that a logical
> contradiction? F AND ~F -> F
OK, let me try to explain again. A quantity is dimensionless means its
dimension can be reduced to 1. But sometimes, it is more meaningful (physically
or mathematically) to view these as a quotient (this is like, but not totally,
we sometimes rewrite 1 as 2/2 to add fractions). Even SI recognizes this in
stating that the unit of a phase angle is m. m^(-1) = 1 because this IS the
definition (arc length spanned by the angle, divided by the radius). Just
because the dimensions cancel out (making it dimensionless) does not mean the
dimension is not there.
> > One may do a certain amount of guessing or pattern matching,
> > but that is limited by one's current knowledge (limited, at best).
> > The example I gave earlier, m^2.s^(-2), would you even have thought
> > of it as absorbed dose? (I certainly didn't before writing this
> > email). Given the vastness of scientific research, you need a
> > subject matter expert to increase the chance of meaningful
> > matching. The user is often the subject matter expert. Let him
> > or her deal with it.
>
> OK, but I still think a) we can prepare useful "domains" such as
> defaults for physics, and b) if such work is done by subject matter
> experts we should be able to incorporate it since it would constitute a
> useful tool for work in the subject in question.
>
Definitely. We can have a nanosytem domain, and other domains of UnitSystem(S)
as experts need them. That is the beauty of Axiom's categorical approach:
unifying domains with a common set of API.
William
From MAILER-DAEMON Wed Aug 24 14:23:35 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E7zuR-0004Um-30
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 14:23:35 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E7zu3-0004Pb-AG
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:23:12 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E7zty-0004Nr-H8
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:23:07 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E7zty-0004NT-Cd
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:23:06 -0400
Received: from [81.103.221.48] (helo=mta08-winn.ispmail.ntl.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E7zqA-0007pq-ER
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:19:11 -0400
Received: from aamta11-winn.ispmail.ntl.com ([81.103.221.35])
by mta08-winn.ispmail.ntl.com with ESMTP id
<20050824181759.ZQGS23002.mta08-winn.ispmail.ntl.com@aamta11-winn.ispmail.ntl.com>;
Wed, 24 Aug 2005 19:17:59 +0100
Received: from obscurity.home ([80.3.52.57])
by aamta11-winn.ispmail.ntl.com with ESMTP id
<20050824181754.FGJI13593.aamta11-winn.ispmail.ntl.com@obscurity.home>;
Wed, 24 Aug 2005 19:17:54 +0100
Received: from obscurity.home (localhost [127.0.0.1])
by obscurity.home (8.13.1/8.13.1/SuSE Linux 0.7) with ESMTP id
j7OIJRqZ003099; Wed, 24 Aug 2005 19:19:30 +0100
Received: (from pab@localhost)
by obscurity.home (8.13.1/8.13.1/Submit) id j7OIJRoF003098;
Wed, 24 Aug 2005 19:19:27 +0100
X-Authentication-Warning: obscurity.home: pab set sender to
peter.broadbery@ntlworld.com using -f
Subject: RE: [Axiom-developer] Re: aldor patches
From: Peter Broadbery <peter.broadbery@ntlworld.com>
To: bill.page1@sympatico.ca
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FD4C@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FD4C@Corporateex01.Corporate.drdc-rddc.gc.ca>
Content-Type: multipart/mixed; boundary="=-+rpPFA0kuTh18BaWwL/R"
Date: Wed, 24 Aug 2005 19:19:25 +0100
Message-Id: <1124907565.6127.90.camel@obscurity.home>
Mime-Version: 1.0
X-Mailer: Evolution 2.0.1
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 18:23:13 -0000
--=-+rpPFA0kuTh18BaWwL/R
Content-Type: text/plain
Content-Transfer-Encoding: 7bit
On Wed, 2005-08-24 at 03:54 -0400, Page, Bill wrote:
> Peter,
>
> I would like to install your aldor patches on the MathAction
> Website. My idea is to be able to include Aldor source files
> on MathAtion something like this
>
> \begin{aldor}
> Aldor code
> \end{aldor}
>
> SPAD code can already be compile on MathAction like this:
>
> \begin{axiom}
> ABBREV ...
> SPAD code
> \end{axiom}
>
> I want to be able to call both SPAD and Aldor modules from Axiom
> commands like this:
>
> \begin{axiom}
> Call to Aldor routines etc.
> \end{axiom}
This ought to work, but not immediately; One problem may be compiling
several aldor stanzas together - in this case you need to be able to
refer to earlier stanzas within the aldor block.
Eg:
\begin{aldor}
AldorCat: Category == with { funstuff }
\end{aldor}
\begin{aldor}
AldorDomain: AldorCat with { ... } == add { ... }
\end{aldor}
To compile the second you'll need access to the .ao file generated by
the first. One solution may be to keep a list of .ao files within
MathAction's session. Alternatively, each stanza could implicitly
contain all the previous ones.
>
> In the log file you will note that the make failes starting
> at this point:
>
> ...
> /home/page/repository/axiom--main--1/src/aldor/Make.rules:31:
Yes, this is due to me not testing stuff terribly well. I've sent Tim a
new .tgz - appended below.
> Regards,
> Bill Page.
>
--
Peter Broadbery <peter.broadbery@ntlworld.com>
--=-+rpPFA0kuTh18BaWwL/R
Content-Disposition: attachment; filename=src_aldor.tgz
Content-Type: application/x-compressed-tar; name=src_aldor.tgz
Content-Transfer-Encoding: base64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--=-+rpPFA0kuTh18BaWwL/R--
From MAILER-DAEMON Wed Aug 24 14:40:48 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E80B5-0008Iy-HH
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 14:40:47 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E80Ad-0008Az-97
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:40:20 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E80AV-00086q-OZ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:40:15 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E80AU-00085O-MO
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:40:10 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E806a-0000ZS-2H
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 14:36:08 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7OIYmwl019977;
Wed, 24 Aug 2005 13:34:49 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050824133447-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 13:34:48 -0500
Cc:
Subject: [Axiom-developer] [#200 display of TwoDimensionalArray of type
Union(...) is not properly formatted]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 18:40:31 -0000
Changes http://page.axiom-developer.org/zope/mathaction/200DisplayOfTwoDimensionalArrayOfTypeUnionIsNotProperlyFormatted/diff
--
I debugged this a little but hit a wall. In 'ARR2CAT' you find the appropriate conversion operation::
if R has CoercibleTo(OutputForm) then
coerce(m:%) ==
l : List List OutputForm
l := [[qelt(m,i,j) :: OutputForm _
for j in minColIndex(m)..maxColIndex(m)] _
for i in minRowIndex(m)..maxRowIndex(m)]
matrix l
which really looks alright. Note also, that
\begin{axiom}
Union(INT, FLOAT) has KOERCE OUTFORM
\end{axiom}
and the operation is not overridden in 'ARRAY2' or 'IIARRAY2'. But the miracle is, inserting a 'print("hi")$Lisp' in the above operation shows that it actually doesn't get invoked. Somehow it seems to me that rather the following function from 'HOAGG' gets invoked::
coerce(x:%):OutputForm ==
bracket
commaSeparate [a::OutputForm for a in parts x]$List(OutputForm)
which can be seen by looking at:
\begin{axiom}
n:TwoDimensionalArray Union(Integer, Float):=new(2,2,0)
n::OUTFORM::SEX
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/200DisplayOfTwoDimensionalArrayOfTypeUnionIsNotProperlyFormatted#msg20050824133447-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 16:50:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E82CM-0005yz-2I
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 16:50:14 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E82CK-0005yR-6X
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:50:12 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E829y-0005Tm-Oq
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:47:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E829s-0005Ku-1Z
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:47:40 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E81tt-0000xI-I3
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:31:09 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7OKTowl016273;
Wed, 24 Aug 2005 15:29:50 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824152950-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 15:29:50 -0500
Cc:
Subject: [Axiom-developer] [Units and Dimensions] links updated after rename
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 20:50:12 -0000
Changes http://www.axiom-developer.org/zope/mathaction/UnitsAndDimensions/diff
--
??changed:
-Side bar: [SandBox Tutorial on Axiom Syntax]
Side bar: [Tutorial on Axiom Syntax]
--
forwarded from http://www.axiom-developer.org/zope/mathaction/UnitsAndDimensions#msg20050824152950-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 16:52:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E82EK-0006eO-24
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 16:52:16 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E82Av-0005ar-NJ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:48:46 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E829z-0005Um-2o
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:47:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E829v-0005Ku-Kz
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:47:43 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E81sz-0000v1-Hi
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:30:13 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7OKSpwl016148;
Wed, 24 Aug 2005 15:28:51 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824152851-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 15:28:51 -0500
Cc:
Subject: [Axiom-developer] [Units and Dimensions] (renamed)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 20:52:14 -0000
Changes http://www.axiom-developer.org/zope/mathaction/UnitsAndDimensions/diff
--
This page was renamed from SandBox Units and Dimensions to Units and Dimensions.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/UnitsAndDimensions#msg20050824152851-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 16:53:42 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E82Fi-00073F-7U
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 16:53:42 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E82A8-0005Yo-Q4
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:47:57 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E829m-0005Qk-Rx
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:47:37 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E829l-0005Ku-Up
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:47:34 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E81xu-000197-1t
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 16:35:18 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7OKXwwl017515;
Wed, 24 Aug 2005 15:33:58 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824153358-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 15:33:58 -0500
Cc:
Subject: [Axiom-developer] [Axiom Colloquium] Units and Dimensions **new**
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 20:53:40 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AxiomColloquium/diff
--
++added:
- [Units and Dimensions]
Discussion on the design of units package for Axiom
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AxiomColloquium#msg20050824153358-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 17:43:32 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E831w-0003Ll-2P
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 17:43:32 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E82zQ-0002rc-PN
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:41:00 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E82zF-0002kl-8u
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:40:46 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E82z7-0002cq-KQ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:40:37 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E82hy-0004y3-5N
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:22:54 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7OKTpwl016277;
Wed, 24 Aug 2005 15:29:51 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824152951-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 15:29:51 -0500
Cc:
Subject: [Axiom-developer] [Tutorial on Axiom Syntax] (renamed)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 21:43:31 -0000
Changes http://www.axiom-developer.org/zope/mathaction/TutorialOnAxiomSyntax/diff
--
This page was renamed from SandBox Tutorial on Axiom Syntax to Tutorial on Axiom Syntax.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/TutorialOnAxiomSyntax#msg20050824152951-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 17:47:42 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E835y-0004pJ-6e
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 17:47:42 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E835w-0004nl-P3
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:47:40 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E835v-0004mJ-Jm
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:47:40 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E835v-0004mA-HP
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:47:39 -0400
Received: from [68.142.201.195] (helo=web31715.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E8336-0006K7-QY
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:44:45 -0400
Received: (qmail 95948 invoked by uid 60001); 24 Aug 2005 21:43:33 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=xCZjeFcxdec+Q/Cu9DxRmF3P4HwTk/uyUQoPg0FfSZVi9nXNeGvx1aslNRF/QYfeDwu5P+ikTZ46Pz/CPWiYMdfqKmQxUktKmb1DjNV1lqKtMncboaxS0kpKZRFNbcz/q1Siek0jjavf/nDCYgIPyHCSpaq4+uFkI25I1K3hSrA=
;
Message-ID: <20050824214333.95946.qmail@web31715.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31715.mail.mud.yahoo.com via HTTP;
Wed, 24 Aug 2005 14:43:33 PDT
Date: Wed, 24 Aug 2005 14:43:33 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question - part 2
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430CB374.A33E2E7F@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 21:47:41 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> Let's be clear. You are requesting a reverse dimensional analysis
> in essence. Given a rational expression in the dimensions (basic
> or derived), you want to give as meaningful as possible an
> interpretation (or list of interpretations) that is relevant to
> the expert user.
Right.
> From you statement:
>
> dimension(23*J)
>
> you are assuming that J is a reserved variable in Axiom, or at least
> recognizable by the system just like %pi. I think using up name
> space with short names like "J" for Joule, etc is going to be very
> problematic with the interpreter. My proposal puts these only as
> output strings, and does not allow their direct manipulations as
> variables.
Ah, OK - yes, I can see how your design implies that.
> To input 23 J, one would have to do:
>
> x := unitEnergy(23)$SI(INT)
>
> assuming Joule = Newton-meter is the default energy unit in SI.
> Under this setting, one can create a function
>
> dimension: % -> Dimension
>
> where for example, dimension(x) would return
>
> "Energy"
>
> (the unit may or may not be given, depending on design; and I think
> if unit is what is intended, then we should have:
>
> unit: % -> OutputForm
>
> and
>
> unit(x)
>
> "J"
>
> or in basic units:
>
> "N-m"
>
> (adopting notation from SI).
Makes sense.
> Since I view units I/O as only decorations, they are all strings
> and not to be manipulated by arithmetic (but string operations
> are allowed of course). All this works in the current proposed
> scheme.
Yes, with the exception of the namespace issue it looks good. You have
a valid point about using up namespace - more on that below.
> Now the reverse dimension analysis (RDA) is a totally different
> problem. The input to RDA is the outputform of a physical quantity
> (symbolic or numeric), perhaps inputted as a string (as I
> discussed, I object strongly to using up user namespace). Assuming
> the string uses SI convention, we can write a parser based
> on the grammar defined, first to reduce every additive term to basic
> units in the seven basic dimensions, verify that they are all the
> same, then re-interpreting the resulting dimension expression in
> terms of plausible physical quantities depending on the subject
> matter expertise. This requires a substantial amount of math:
> basically, assuming you have the taxonomy for units
> in the expert area, you have to solve a dimension analysis problem,
> which is a (fairly large size) linear diophantine problem. A
> solution is of course guaranteed since the dimensions of the given
> terms in the input expression are solutions, but more likely, you
> are going to have many solutions (for example, energy can be
> produced various ways: potential and kinetic, rotational, work,
> Einstein's mass-energy exchange, etc). A decision criterion
> to choose the "simplest", perhaps by the minimum total sum of the
> exponents of all the basic/derived dimensions allowed, would then
> present the user with the result or set of results.
I guess that's pretty much what I pictured, yes. I think it's less
important to identify things like potential vs. kinetic energy and just
identify that <quantity> IS an energy. This can be helpful in building
an intuition about the system you are working on, even without more
specific information.
> I think the usefulness of such a RDA is minimal. A user typically
> knows what that is when he forms the expression.
At the student level I'm not sure I agree.
> Perhaps letting the system check the consistency of terms in
> dimension is the only useful feedback, but that does not
> require RDA.
There have been times in the past when I would have liked to have RDA
to help me understand the calculations I was working on in a "physical"
way, but this can probably be defined as a deficiency on my part.
> Having a system setting to choose a particular unit system as
> default is certainly desirable and possible. Axiom has extensive
> )set commands. The convenience gained after this )set command
>
> )set unit SI
>
> will be that the following commands do not require a package call:
>
> unitMass, etc
> dimension
> unit
That's most definitely a good feature to design in - I might set
UnitSystem rather than unit, but that's just a quibble.
What about by default creating a UserUnits system, and "importing" the
SI definitions into it as the "default" state? This would amount to
putting user-friendly tools on creating a custom unitsystem domain, and
hide the need to do so from the user. The system need only define the
standard environments, but if we allow the UserUnits system to
automatically import definitions while preserving and allowing local
overrides transparently, this would allow for full flexibility. Best
of all, it can be defined "above" the more correct, structured systems
and ignored unless it is actually of interest. So, upon consideration,
I vote for the SI/MKS/CGS domain proposal, since it can be built upon
for other environments which might be less "Axiom-like" in behavior.
> Being "fuzzy" is certainly against the philosophy of Axiom, but I
> suppose as long as it is clearly pointed out, there is no reason
> not to allow it. Martin has a "guessing" program for sequences, and
> it is very useful. So go ahead. I agree that Axiom suffered
> commercial failure for its inflexibility.
To my mind the important things are a) to be able to work in a useful
way for the target audience, and b) to start with definitions in full
rigor and build "looser and friendlier" systems on top of that, so
additional power up to fully rigorous is available depending on the
situation. I am very appreciative of these emails - they have made me
think about dimensions and units in ways I hadn't previously
considered, and that is valuable as an insight into the nature of those
systems all by itself :-).
> No, energy is energy and Work is energy, so they are interchangeble.
> (For example, work against friction produces heat).
OK. I guess we would need to find some place where such things are
cataloged, and impliment that catalog in Axiom - unfortunately I have
no idea where to go for such a document.
> > Don't we WANT the units and dimensions to take namespace, at least
> > at user toplevel? If the UNITS package were active, we certainly
> > don't want people using unit names for anything ELSE - it would
> > cause waaay too much confusion. I would have viewed it as a
> > design goal that (3 meter + 5 feet)::meter work as expected.
> Well, in my proposal, units names are implicit by using declarative
> functions (like unitMass()) in a particular domain of the UnitSystem
> category. I have already argued against the use of reserved
> variables for units. People should be allowed to use J, nm, etc as
> their own variables. All system variables (except domain
> abbreviations and names) have to be preceded by a % sign, as in
> %pi. You have to teach the interpreter to recognize these special
> names.
I disagree here, although I concede you have valid points and the
default should probably be your way. When I (or a student) am working
in Axiom on a physics problem, I have certain definite meanings
attached to symbols like J, nm, N, etc. I want my use of these symbols
as variables to be illegal, since if I do so I am introducing the
chance for MASSIVE confusion down the road. My mind is trained to look
at kg as kilograms when I am working on a problem with units as opposed
to numbers, and I would prefer that the CAS enforce this to make sure I
don't make mistakes. However, based on my experience with Maxima you
are correct about the difficulties this introduces, and so if it is
done it should be built as an extension to the "correct" units
environment, not as the default. I think this is doable, and the
design of the main units package does not need to specifically
accomidate it.
> > I guess I would prefer to be able to either "use" the SI system,
> > and allow local overrides through simple syntax, or "set" the SI
> > system, and insist on everything being rendered using it.
>
> As long as you are willing to do the programming :-)
Heh - well, that's certainly fair enough :-).
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Wed Aug 24 18:13:40 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E83V6-0001b3-Gu
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 18:13:40 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E83V4-0001aw-QA
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 18:13:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E83V4-0001ak-6J
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 18:13:38 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E83Ua-0001Jd-4P
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 18:13:08 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E837o-0006gn-NX
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 17:49:38 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id AE1CD666A8
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 17:48:26 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 4EF12666A6
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 17:48:14 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Re: aldor patches
Date: Wed, 24 Aug 2005 17:48:12 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FF36@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach: yes
MIME-Version: 1.0
Content-Type: multipart/mixed; boundary="----_=_NextPart_001_01C5A8F5.86FF18C4"
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Re: aldor patches
Thread-Index: AcWo2FYA5ERDOPaTQliuHjsH3xl90gAGFlzQ
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Peter Broadbery" <peter.broadbery@ntlworld.com>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 22:13:39 -0000
This is a multi-part message in MIME format.
------_=_NextPart_001_01C5A8F5.86FF18C4
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
Peter,
On Wednesday, August 24, 2005 2:19 PM you wrote:
> >
> > \begin{aldor}
> > Aldor code
> > \end{aldor}
> >
>=20
> This ought to work, but not immediately; One problem may be compiling
> several aldor stanzas together - in this case you need to be able to
> refer to earlier stanzas within the aldor block.
>=20
> Eg:
>=20
> \begin{aldor}
> AldorCat: Category =3D=3D with { funstuff }
> \end{aldor}
>=20
> \begin{aldor}
> AldorDomain: AldorCat with { ... } =3D=3D add { ... }
> \end{aldor}
>
In the case of \begin{axiom} sections, what MathAction does is
generate a .input or .spad file for each section and then calls
Axiom just once using stdin to pass )read or )compile commands
for each section as appropriate. So, for each web page there is
only one Axiom session and the namespace is the same for the
entire page. (Except for comments containing \begin{axiom}
sections which are initially each run in their own Axiom session
before being appended to the page.)
Perhaps I can do the same thing for Aldor? Can I run Aldor
with a series of 'include' files - one for each \begin{aldor}
section? Would that solve the problem of referring to earlier
sections?
To make this work properly I also need some kind of unique separator
string between the Aldor compiler output for each include file.
In the case of Axiom that separator is the interpreter '(99) -> '
prompt sequence. For Spad sections, the \begin{axiom} \end{axiom}
group is replaced with <pre>formatted</pre> HTML tag containing
the Spad code followed by a <div> ... </div> section containing
the Spad compiler output (which appears as "folded" text"). Can
you suggest a way to generate such a separator for Aldor compiler
output if the input consists of a series of 'include' files?
> To compile the second you'll need access to the .ao file generated
> by the first. One solution may be to keep a list of .ao files
> within MathAction's session. Alternatively, each stanza could
> implicitly contain all the previous ones.
The use of 'include' files above should handle this case, right?
Where do the .ao files need to be stored in order to be accessible
to Axiom commands? Can more than one .ao file be generate per run
of the Aldor compiler? Is it sufficient if they are saved in the
current working directory?
>=20
> >
> > In the log file you will note that the make failes starting
> > at this point:
> >
> > ...
> > /home/page/repository/axiom--main--1/src/aldor/Make.rules:31:
>=20
> Yes, this is due to me not testing stuff terribly well. I've sent Tim
a
> new .tgz - appended below.
>
Thanks for sending this revised file. It gets further, but
Unfortunately it still does not complete.
The new src_aldor.tgs file that you sent does not contain any
Makefile, however I figured that you expected me to initially
do
# document Makefile.pamphlet
in order to generate the Makefile and the type
# make 2>&1 | tee aldor.log
The result of doing this is contained in the new attached log
file.
The log file contains two runs of make in sequence. The first run
stops with the message:
make[1]: *** No rule to make target
`/home/page/repository/axiom--main--1/int/aldor/dep_spad.stamp', needed
by `/home/page/repository/axiom--main--1/int/aldor/saxiom/spadset.mk'.
Stop.
To continue I did
# touch ../../int/aldor/dep_spad.stamp
# make 2>&1 | tee -a aldor.log
Is this due to another missing file? I noticed that your new src_aldor
File is a smaller than the previous one. Should I have first untarred
the previous file and then overlayed it with the new one?
The build progressed further but then apparently stopped because
a statement in the generated Makefile exceeded some command line
length limit for either make or /bin/sh.
What linux operating system and utility versions are you using
to do your development? I am trying to build this on the
axiom-developer/MathAction server which is running RedHat 9
(updated almost, I think, to the level when RedHat discontinued
it's development about two years ago in favor of Fedora). The
server runs in shared virtual server mode.
Is there some way your java program can easily generate a more
Portable Makefile? Or do you know of anyway to allocate a
Larger command line buffer?
Regards,
Bill Page.
------_=_NextPart_001_01C5A8F5.86FF18C4
Content-Type: application/octet-stream;
name="aldor2.log"
Content-Transfer-Encoding: base64
Content-Description: aldor2.log
Content-Disposition: attachment;
filename="aldor2.log"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------_=_NextPart_001_01C5A8F5.86FF18C4--
From MAILER-DAEMON Wed Aug 24 18:17:52 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E83ZA-0002fl-KK
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 18:17:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E83UF-0001Vr-NY
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 18:12:48 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E83Tz-0001NT-1e
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 18:12:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E83Tw-0001Jd-Mi
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 18:12:28 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E83LX-0007Pq-LA
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 18:03:47 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 4AD3F666C2
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 18:02:37 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id DDB32666C8
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 18:02:26 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: Re: [Axiom-developer] Unit package question
Date: Wed, 24 Aug 2005 18:02:26 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FF37@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Unit package question
Thread-Index: AcWo7eDNsDX5gR0oQtutKjsNhsrp2QACFnIA
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: <axiom-developer@nongnu.org>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 24 Aug 2005 22:17:50 -0000
Axiom Developers;
I think the continuing exchange on the units package for Axiom is
very interesting and potentially useful to a wider audience, therefore
I have created an initial summary of the discussion on the design
here:
http://www.axiom-developer.org/zope/mathaction/UnitsAndDimensions
The authors (and other interested parties!) are invited to review
these wiki pages and update/correct/edit them as seems appropriate.
New pages on this subject can also easily be added. I would like
these pages to gradually evolve to reflect design decisions and
trial code segments as this package is developed.
Thanks everyone!
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 24 20:18:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E85Rd-0000H9-SX
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 20:18:14 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E85RX-0000Df-75
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:18:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E85RV-0000Cg-5A
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:18:05 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E85RV-0000CW-1c
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:18:05 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E85OU-0007sf-57
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:14:58 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7P0DYwl009338;
Wed, 24 Aug 2005 19:13:34 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824191334-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 19:13:34 -0500
Cc:
Subject: [Axiom-developer] [MathAction]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 00:18:11 -0000
Changes http://www.axiom-developer.org/zope/mathaction/MathAction/diff
--
??changed:
-generated by the ToughGraph navigator interface should give you
generated by the TouchGraph navigator interface should give you
--
forwarded from http://www.axiom-developer.org/zope/mathaction/MathAction#msg20050824191334-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 20:18:16 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E85Rf-0000Hu-6C
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 20:18:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E85RZ-0000Eh-Cv
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:18:09 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E85RW-0000DK-5O
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:18:06 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E85RV-0000CW-V9
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:18:05 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E85Nz-0007qq-7l
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 20:14:27 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7P0D0wl009265;
Wed, 24 Aug 2005 19:13:01 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050824191300-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 24 Aug 2005 19:13:00 -0500
Cc:
Subject: [Axiom-developer] [MathAction]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 00:18:12 -0000
Changes http://www.axiom-developer.org/zope/mathaction/MathAction/diff
--
??changed:
-Web Site
-
- The !MathAction development home page is --
- http://page.axiom-developer.org
-
- The Axiom Portal is at --
- http://page.axiom-developer.org/zope/Plone
-
- This web site is --
- http://page.axiom-developer.org/zope/mathaction
-
- The test and development version of !MathAction is --
- http://test.axiom-developer.org
-
- The development repository (darcs) for !MathAction is --
- MathActionRepository
!TouchGraph Navigator
MathAction has grown rapidly over the last year. This grpahic
generated by the ToughGraph navigator interface should give you
a general idea of the amount of Axiom related information
available here.
<img src="/mathaction-now.png" />
??changed:
-From unknown Thu Jul 28 06:11:53 -0500 2005
-From: unknown
-Date: Thu, 28 Jul 2005 06:11:53 -0500
-Subject:
-Message-ID: <20050728061153-0500@page.axiom-developer.org>
-
-\begin{axiom}
-
-\end{axiom}
-
-
-From unknown Thu Jul 28 06:12:16 -0500 2005
-From: unknown
-Date: Thu, 28 Jul 2005 06:12:16 -0500
-Subject: test
-Message-ID: <20050728061216-0500@page.axiom-developer.org>
-
-\begin{axiom}
-
-[1 more lines...]
Web Site
The !MathAction development home page is --
http://page.axiom-developer.org
The Axiom Portal is at --
http://page.axiom-developer.org/zope/Plone
This web site is --
http://page.axiom-developer.org/zope/mathaction
The test and development version of !MathAction is --
http://test.axiom-developer.org
The development repository (darcs) for !MathAction is --
MathActionRepository
--
forwarded from http://www.axiom-developer.org/zope/mathaction/MathAction#msg20050824191300-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 24 22:12:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E87EM-0004Nw-SA
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 22:12:38 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E87Cf-00042H-45
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:10:53 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E87CS-0003us-Iv
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:10:42 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E87CQ-0003qx-T4
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:10:38 -0400
Received: from [68.142.201.185] (helo=web31705.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E872w-0005ok-Up
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:00:51 -0400
Received: (qmail 68669 invoked by uid 60001); 25 Aug 2005 01:59:37 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=zjzwg5JiN+Tn1nr55ykqE547Yb8Kagos32DbO3k0s3g3+LNSNDI7nS9wS9f6fdIJVGMyzf+unsAvqPUnGNto1CLhboHMVMoo2NYJtGnkvQHU6VksBd+uGblsH59lEH+AE47nvVxeLmdK/UVKPLZX/aXbYowLV13EBxDCviK5P1Q=
;
Message-ID: <20050825015937.68667.qmail@web31705.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31705.mail.mud.yahoo.com via HTTP;
Wed, 24 Aug 2005 18:59:37 PDT
Date: Wed, 24 Aug 2005 18:59:37 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430CB37E.850BA8B4@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 02:12:37 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> C Y wrote:
>
> > I would vote yes, because I can't predict what I'll want to
> > do with my unit environment. I can't imagine all the
> > ways and situations units can be applied, so I don't want to
> > restrict the user runtime environments that can be set up and
> > customized.
>
> Fair enough. But there is no reason why one cannot first convert
> ft to m, use SI as is, then convert back from m to ft. If a user
> really want to use ft instead of m but retain all other SI units
> ALWAYS, then create a MYUnitSystem domain, and use )set unit
> MYUnitSystem. The implementation would be so much easier and
> you still retain the flexibility. Flexibility and generality may
> complicate usage as well as simplify usage. We have to balance
> the them.
Agreed. What about this - create such a domain as the "default"
domain, "use" SI units for defaults, and provide tools for the user to
make changes? The changes would occur within the Default "working"
unit domain, assuming any were made - otherwise, it would look just
like the SI domain. If one wanted to work in an environment which flat
out disallowed such setting changes, )set UnitSystem SI (or whatever
system desired) would take the user to the system defined SI domain
instead of the Default environment. Does this map to what Axiom can
do?
> > But it should be doable, readily, IMHO. That's what computers
> > are for - to handle the grunt work associated with such
> > decisions.
>
> As long as you are willing to do the programming :-)
Hehe - fair enough! In fact, I think such things can be built as a
layer on top of your system, which is undoubtedly the most robust way
to handle things. So I vote for doing it your way, and then if I
really want some of what I say I want it can be implimented on top of
the core system.
> > There is also the case where you want to know what
> > quantity/dimension an expression is.
>
> Reverse dimensional analysis, is useful for providing the user
> with possibly different interpretation of the dimension of an
> expression. Checking dimensional correctness is a different,
> though related, issue.
Ah :-). Thanks for helping clarify all of this - it's definitely
broadened my understanding of units/dimensions/etc. :-).
> > > Don't mix unit systems! Convert first before you start the
> > > computations, and convert back if you really have to.
>
> > But that's just it - part of the reason for implementing a Unit
> > system in a CAS in the first place is to get it to do all the
> > converting and other annoyingly boring and error prone tasks for
> > you - both for input and output.
>
> Sure, but that does not mean one has to do it for all possible
> conversions, only the most useful ones should be provided, with
> functionality that allows, though not as convenient, the very
> special user to change units.
OK, point. As a possible future extension to this environment though,
I may try and code up a way to do as many such conversions (arbitrary
unit -> current environment) as possible, since usually the unit that
causes the biggest problem in a problem is the obscure uncommon one you
have to go dig up the conversion factor for. This argues for as broad
a knowledge of units in Axiom as possible, although I admit this should
probably be done over time and not as part of the initial effort.
> Ignoring it in this example would mean the equation is not
> dimensionally balanced, and worse, some may think that
> degree = radian!
I think this is a weak spot in my understanding of dimensionality, so I
apologize if I'm being dense here. If we take C=%pi*d where C is a
circumference, %pi is %pi, and d is diameter, and look at the
dimensions, we have:
degree
Length = ------ Length
radian
Casually, this doesn't look at all balanced. Does it mean that when we
define the dimensionality of the variable C we need to define it as:
degree
------ Length
radian
rather than just Length? I suppose in once sense this preserves the
information that C is a curve instead of a straight line, but I don't
quite see how the ramifications of that play out. I suppose if you
then describe the distance a wheel would move in x if you rotate it
around its center n times the degree/radian information might be
pertinant, so perhaps there is reason to do this after all, but I think
it will require careful though on how to deal with this situation.
> OK, let me try to explain again. A quantity is dimensionless
> means its dimension can be reduced to 1. But sometimes, it is
> more meaningful (physically or mathematically) to view these as a
> quotient (this is like, but not totally, we sometimes rewrite 1 as
> 2/2 to add fractions). Even SI recognizes this in stating that the
> unit of a phase angle is m. m^(-1) = 1 because this IS the
> definition (arc length spanned by the angle, divided by the radius).
> Just because the dimensions cancel out (making it dimensionless)
> does not mean the dimension is not there.
OK, I think I'm getting it. So what we need to do is examine the cases
where it is actually useful to retain this information, and see what
behaviors are rigorous/needed/useful. Definitely in some cases we need
to canel dimensions out - we don't want something described in (say)
kg/s multiplied by seconds to wind up as kg*s/s, but if there are cases
where m/m is useful to preserve there would seem to be a problem with
having a general rule. Could unit and dimension cancelation be handled
on a per dimension basis?
> Definitely. We can have a nanosytem domain, and other domains of
> UnitSystem(S) as experts need them. That is the beauty of Axiom's
> categorical approach: unifying domains with a common set of API.
OK, cool. So we might actually develop a situation where, for
different kinds of work, we have different standard domains defined
(say, as an example, if someone is working with radio telescope data
and equations, they can do )set UnitSystem RadioTelescope having
previously defined the desired unit conventions for such work. I
guess, thinking about it, my scenarios for unit use were too narrowly
focused on the case of students, where arbitrary units will appear for
any reason and no reason (sometimes just to make them look them up and
do the conversion, which always annoyed me as an extra and unnecessary
potential source of numerical errors but in retrospect was probably
good training.) For "real world" use, that case is not terribly
useful, and Axiom is definitely not focused on introductory student
problems :-).
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Wed Aug 24 22:15:32 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E87H9-0005MQ-Rl
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 22:15:31 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E87H8-0005Lt-BT
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:15:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E87H5-0005L1-L8
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:15:29 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E87H5-0005Kq-HT
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:15:27 -0400
Received: from [68.142.201.193] (helo=web31713.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E87EI-0006lx-7o
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:12:34 -0400
Received: (qmail 17154 invoked by uid 60001); 25 Aug 2005 02:11:21 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=SCqpLuS6YBLha9Kc1pszjWONUadZefZsLaWsv+OAVasAQvCGIRmBz5uxPAfwLzKGdIO1TEhSIvKr0iQI1U6XuE3ZZdw611E1+7KX1ty8Oy8P42Cb3Ck+Xv3SlNtUXNFz+fqgRBHBCQE5Dl/GsZSbqg8Oaz2vmkvtf7ptsPUlbq4=
;
Message-ID: <20050825021121.17152.qmail@web31713.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31713.mail.mud.yahoo.com via HTTP;
Wed, 24 Aug 2005 19:11:21 PDT
Date: Wed, 24 Aug 2005 19:11:21 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question - Reply to 1st half
To: wyscc@cunyvm.cuny.edu
In-Reply-To: <430CB383.369B6DD0@cunyvm.cuny.edu>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 02:15:31 -0000
--- William Sit <wyscc@cunyvm.cuny.edu> wrote:
> SI provides standardized prefixes and abbrevations in the range
> 10^(-24) to 10^(24), one for every three unit change in the
> exponent, which are applicable to ANY physical quantity (with the
> exception of kilogram, see SI pages, to avoid double prefixes).
Oh, OK! Well, there goes my most compelling reason to want to be able
to peg individual dimensions to specific units :-).
> More interestingly, SI also has prefixes and abbreviations for
> the computer industry: kilibit (1024 bits) vs kilobit (1000 bits).
> Axiom implementation definitely should adhere to SI standards and
> implement all their standardized and accepted units.
Agreed. That could actually be very handy for certain types of
questions about the finer low level points of computer memory :-).
> Since SI provides prefixes only for every thousand-fold change, if
> all computations you expect are in the scale of 1 nm, you would
> probably spot these errors in hundreds of nm. But anyway, every
> scientist should be aware of units attached to quantities,
> especially in graphs!
Well, that last argument has got me dead to rights ;-). Conceded.
> I think autoscaling is good enough (Note, all digital meters
> autoscales! Scientists are used to that.)
Good point. Perhaps we could make the autoscaling configurable though,
so people can avoid scaling to less used prefixes unless they so
desire? (This is so people have the option of only using metric
prefixes they can readily match to some physical standard they are
familiar with, such as a centimeter.) Usually when the computer tries
to be "smart" like that it is a good idea to allow the user to take
matters into their own hands if they so desire. (At least, in my
experience - evidently not all software developers agree with me :-/)
> I think whoever implements this should first program for the correct
> framework, and provide basic unit systems based on SI. Then as usage
> expands, add more unit system domains. Then if that is not enough,
> add more friendly user settings. I am fairly convinced that the
> framework proposed earlier is able to handle and
> facilitate this plan of development. I would like to hear more
> critique from others.
So would I - I think I've finally understood the overall arguments now,
and for myself I'm deeply impressed with the insight you have brought
to this problem. For what it's worth, you have convinced me your
overall direction is the best one to take, and can serve as a good
foundation for tweaks and extensions as desired.
> Thanks for this interesting discussion.
Thank you! This has been an education in and of itself, which I think
is one of the real benefits of a system like Axiom - it forces you to
think deeply about what you are really trying to do. (Or at least, to
work at understanding others who are up to the deep thinking ;-)
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Wed Aug 24 22:46:50 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E87fk-0000aX-Cm
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 22:40:56 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E87fX-0000ZS-VC
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:40:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E87fM-0000Th-Pa
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:40:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E87fL-0000Oc-SV
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:40:31 -0400
Received: from [68.142.201.181] (helo=web31701.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E87MD-00078q-NJ
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:20:45 -0400
Received: (qmail 13441 invoked by uid 60001); 25 Aug 2005 02:19:32 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=mkhyiHp8mC64dlFESq4n59l7sn0ico1SQrLd8L+Vf0TOexUs0UFrrAyjgvm5Pb9dzc+NJxttc2EQfPzHLvOOAXWuXOoBzsEEgDEj7IM/Ko2nolO9RbUhpvA0yjS7Nq5DXdWLV0S2tSqmB2OeIXC+fpN1CWy457iQf3eGnId/BL0=
;
Message-ID: <20050825021932.13439.qmail@web31701.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31701.mail.mud.yahoo.com via HTTP;
Wed, 24 Aug 2005 19:19:32 PDT
Date: Wed, 24 Aug 2005 19:19:32 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] Unit package question
To: bill.page1@sympatico.ca, axiom-developer@nongnu.org
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FF37@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc:
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 02:40:54 -0000
--- "Page, Bill" <Bill.Page@drdc-rddc.gc.ca> wrote:
> Axiom Developers;
>
> I think the continuing exchange on the units package for Axiom is
> very interesting and potentially useful to a wider audience,
> therefore I have created an initial summary of the discussion on
> the design here:
>
> http://www.axiom-developer.org/zope/mathaction/UnitsAndDimensions
>
> The authors (and other interested parties!) are invited to review
> these wiki pages and update/correct/edit them as seems appropriate.
> New pages on this subject can also easily be added. I would like
> these pages to gradually evolve to reflect design decisions and
> trial code segments as this package is developed.
Do you want a complete summary of the email list discussions, or just
the ones that seem to lead to what eventually becomes the final design?
(I must confess I'm not really sure how archiving of Axiom's email
system works, since I just save most of them myself on my machine in
Kmail - should the wiki be used to preserve discarded ideas and the
reasons they were discarded, or just focus on what is eventually
accepted and provide links to the full discussion? If the email
archive is stable and readily available it would probably be cleaner to
focus the wiki page on the actual workable design related emails, with
links to the discussion tree for other stuff.)
Good idea!
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Wed Aug 24 23:09:34 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E887S-0006Aw-1f
for mharc-axiom-developer@gnu.org; Wed, 24 Aug 2005 23:09:34 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E886c-00060m-6m
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 23:08:42 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E886M-0005yh-Bb
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 23:08:27 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E886K-0005eo-QY
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 23:08:24 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E87pw-0000KU-P4
for axiom-developer@nongnu.org; Wed, 24 Aug 2005 22:51:30 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id A491D6670D
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 22:50:15 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id E056C69268
for <axiom-developer@nongnu.org>; Wed, 24 Aug 2005 22:50:04 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Unit package question
Date: Wed, 24 Aug 2005 22:50:04 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FF3A@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Unit package question
Thread-Index: AcWpG4KOq7dM+Y4GShi5rX0Rt46f2AAAIwsg
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "C Y" <smustudent1@yahoo.com>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 03:09:33 -0000
C Y,
> Bill Page wrote:
> >
> > The authors (and other interested parties!) are invited to review
> > these wiki pages and update/correct/edit them as seems appropriate.
> > New pages on this subject can also easily be added. I would like
> > these pages to gradually evolve to reflect design decisions and
> > trial code segments as this package is developed.
>=20
On Wednesday, August 24, 2005 10:20 PM you asked:
>
> Do you want a complete summary of the email list discussions, or
> just the ones that seem to lead to what eventually becomes the
> final design?
I think the summary should be more *constructive* and *synthetic*
rather than archival. It should accurately reflect (within reason)
the current understanding of the problem and solution - not the
history - except perhaps for attribution of relevant ideas to
original authors etc. This usually means that some (now irrelevant)
parts of the discussion, proposals and experimental code should
actually be deleted after the direction is clear and more
well-advanced.=20
> (I must confess I'm not really sure how archiving of Axiom's
> email system works, since I just save most of them myself on
> my machine in Kmail)
All axiom-developer emails (including notices of changes on the
MathAction wiki) are archived at:
http://mail.nongnu.org/archive/html/axiom-developer
This is the primary and complete archive. There are also a few
other places on the web where our discussions are duplicated,
e.g. gmane.
> - should the wiki be used to preserve discarded ideas and the
> reasons they were discarded, or just focus on what is eventually
> accepted and provide links to the full discussion?
I say definitely just the latter: focus on what is eventually
accepted and what remains controversial. Eliminate the stuff
in between.
> If the email archive is stable and readily available it would
> probably be cleaner to focus the wiki page on the actual workable
> design related emails, with links to the discussion tree for other
> stuff.)
I think the Internet email archives are very stable. Although like
you, for convenience I often rely more on my own local archive of
these emails, after several system upgrades, failures and re-
organization I now find that my personal archive is less reliable
than mail.nongnu.org.
So I agree that the wiki pages should focus on actual workable
design ideas. Often the original text of the emails also has to
be adjusted periodically to use the current terminology etc. It
often takes more time to be concise and accurate so that someone
can quickly understand the main points (that what the wiki pages
are good for), rather than just record the complete and verbose
history (that's what the dumb archives are good for).
>=20
> Good idea!
>=20
Thanks. I hope that it helps your project. Please feel free to
change and edit the contents of these pages as suits your own
purposes. :)
Regards,
Bill Page.
From MAILER-DAEMON Thu Aug 25 05:17:05 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Dr6-0002UL-A3
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 05:17:04 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8Dr3-0002Sj-Bz
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:17:01 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8Dr0-0002Ra-J2
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:17:00 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8Dqz-0002Qk-Tb
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:16:58 -0400
Received: from [81.169.145.165] (helo=natsmtp00.rzone.de)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8Dnu-0005D5-SR
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:13:47 -0400
Received: from [193.170.38.119] (woodpecker.risc.uni-linz.ac.at
[193.170.38.119]) (authenticated bits=0)
by post.webmailer.de (8.13.1/8.13.1) with ESMTP id j7P9CSh8005558
for <axiom-developer@nongnu.org>; Thu, 25 Aug 2005 11:12:28 +0200 (MEST)
Message-ID: <430D8B9E.40800@hemmecke.de>
Date: Thu, 25 Aug 2005 11:13:02 +0200
From: Ralf Hemmecke <ralf@hemmecke.de>
User-Agent: Mozilla Thunderbird 1.0 (X11/20041206)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: axiom-dev <axiom-developer@nongnu.org>
Subject: Re: [Axiom-developer] Axiom Design Question / Polymake feedback
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FDFD @Corporateex01.Corporate.drdc-rddc.gc.ca>
<430C8C2E.7B340E8C@cunyvm.cuny.edu>
In-Reply-To: <430C8C2E.7B340E8C@cunyvm.cuny.edu>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 09:17:02 -0000
> )abbrev domain POLYTOPE Polytope
> Polytope(R: Ring): Exports == Implementation where
> Exports == with
> ------------------------------------------------------------
> -- polytope constructions
> ------------------------------------------------------------
> cube: Integer -> %
> if R is Float then randSphere: (Integer, Integer) -> %
> vertices: % -> Matrix R
> However, I'm not convinced that this is the best solution. One reason
> being, that I don't really want that the user has to specify the type
> of his polytope all the time.
If you don't like it and you can somehow determine the type of R
automatically, and it is something simple like Integer then why not writing
Polytope(): Exports == Implementation where
Exports == with
vertices: % -> (R: Ring, Matrix R);
...
That should work in Axiom (+ dependent types).
By the way, is there a reason for constructing a nullary function
Polytop() instead of just the constant Polytope? (Sorry, I have not
looked at polymake.)
Ralf
From MAILER-DAEMON Thu Aug 25 05:17:25 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8DrQ-0002eO-59
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 05:17:24 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8DrG-0002ZR-Ds
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:17:14 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8DrB-0002Wu-Av
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:17:10 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8DrA-0002Qk-85
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:17:08 -0400
Received: from [81.169.145.166] (helo=natnoddy.rzone.de)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8Dlg-00051O-To
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 05:11:29 -0400
Received: from [193.170.38.119] (woodpecker.risc.uni-linz.ac.at
[193.170.38.119]) (authenticated bits=0)
by post.webmailer.de (8.13.1/8.13.1) with ESMTP id j7P9A8Ls003951
for <axiom-developer@nongnu.org>; Thu, 25 Aug 2005 11:10:09 +0200 (MEST)
Message-ID: <430D8B12.4070606@hemmecke.de>
Date: Thu, 25 Aug 2005 11:10:42 +0200
From: Ralf Hemmecke <ralf@hemmecke.de>
User-Agent: Mozilla Thunderbird 1.0 (X11/20041206)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: axiom-dev <axiom-developer@nongnu.org>
References: <20050824040100.84708.qmail@web31704.mail.mud.yahoo.com>
<430CB374.A33E2E7F@cunyvm.cuny.edu>
In-Reply-To: <430CB374.A33E2E7F@cunyvm.cuny.edu>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: 7bit
Subject: [Axiom-developer] strict vs. fuzzy Axiom
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 09:17:17 -0000
> C Y wrote:
>> I guarantee that making Axiom too strict in a correctness sense
>> without providing a way to get things done will lose it much of its
>> audience in the unit game, since physicists as a rule are not
>> overly concerned with mathematical rigor. (Compared to
>> mathematicians, anyway ;-) I think allowing both strict mode and
>> fuzzy mode is a good idea, which allows for both full correctness
>> if needed and a more practical working environment if desired. I
>> invite comment on this, since I might have just stomped Axiom
>> philosophy into the carpet :-/.
> Being "fuzzy" is certainly against the philosophy of Axiom, but I
> suppose as long as it is clearly pointed out, there is no reason not
> to allow it. Martin has a "guessing" program for sequences, and it is
> very useful. So go ahead. I agree that Axiom suffered commercial
> failure for its inflexibility.
As some of you might know Aldor's intermediate name was A# (A-sharp). I
once heard of a project which was called B-flat and if I am not wrong it
did exactly address the "problem" that Axiom was to complicated for a
wider audience. (Please correct me if I am wrong.) In my opinion, the
idea should be that internally Axiom/Aldor is strict and that should
NEVER change. However, I couln't say anything against another layer (I
my eyes that could be the work of a user interface) which tries hard to
guess what the user had in mind. The user input would be equipped with
all the necessary type information to run a strict program internally.
One cannot expect everyone to know all the hairy details of the
algorithms. How many people bother to understand the Risch algorithm
just to solve an intergral. If they have a CAS at hand which translates
their input and gives a reasonable output _and_ is able to tell what the
output actually means (that may depend on the an ambiguous
interpretation of the input).
So I would vote for a two-layered AXIOM.
1) internal libraries (strict)
2) user interface (fuzzy)
and I would like to see these layers being separate things.
A user should however always be allowed to just use the strict mode if
he is knowledgable enough. And other people should be encouraged to
provide enough information.
One approach could be like that...
http://www-sop.inria.fr/cafe/Manuel.Bronstein/sumit/sumitdoc/node628.html
Best regards
Ralf
From MAILER-DAEMON Thu Aug 25 07:15:55 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Fi5-0005zk-Mn
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 07:15:53 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8Fi2-0005yN-NQ
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 07:15:51 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8Fhz-0005xI-PG
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 07:15:49 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8FbB-000430-5a
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 07:08:45 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8FS4-00052b-5n
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 06:59:20 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PAvtwl004947;
Thu, 25 Aug 2005 05:57:55 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050825055753-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 05:57:55 -0500
Cc:
Subject: [Axiom-developer] [SymbolicIntegration] integrate(exp(x)/x^2)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 11:15:51 -0000
Changes http://page.axiom-developer.org/zope/mathaction/SymbolicIntegration/diff
--
Axiom does not perform the integration (while it perform the integration of exp(x)/x ), but the integration can be given in terms of Ei(x)
integrate(exp(x)/x^2,x) --> Ei(x)-exp(x)/x
--
forwarded from http://page.axiom-developer.org/zope/mathaction/SymbolicIntegration#msg20050825055753-0500@page.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 08:25:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8GnY-0002gP-2m
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 08:25:36 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8GnP-0002aU-Tz
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 08:25:28 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8GnK-0002WU-Aj
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 08:25:26 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8Ghw-0001SI-Ks
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 08:19:48 -0400
Received: from [81.103.221.47] (helo=mta07-winn.ispmail.ntl.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8GGM-0000U4-If
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 07:51:18 -0400
Received: from aamta12-winn.ispmail.ntl.com ([81.103.221.35])
by mta07-winn.ispmail.ntl.com with ESMTP id
<20050825114959.QHXL21883.mta07-winn.ispmail.ntl.com@aamta12-winn.ispmail.ntl.com>;
Thu, 25 Aug 2005 12:49:59 +0100
Received: from obscurity.home ([80.3.52.57])
by aamta12-winn.ispmail.ntl.com with ESMTP id
<20050825114959.LPUB29701.aamta12-winn.ispmail.ntl.com@obscurity.home>;
Thu, 25 Aug 2005 12:49:59 +0100
Received: from obscurity.home (localhost [127.0.0.1])
by obscurity.home (8.13.1/8.13.1/SuSE Linux 0.7) with ESMTP id
j7PBpXSs018078; Thu, 25 Aug 2005 12:51:35 +0100
Received: (from pab@localhost)
by obscurity.home (8.13.1/8.13.1/Submit) id j7PBpW2w018058;
Thu, 25 Aug 2005 12:51:32 +0100
X-Authentication-Warning: obscurity.home: pab set sender to
peter.broadbery@ntlworld.com using -f
Subject: RE: [Axiom-developer] Re: aldor patches
From: Peter Broadbery <peter.broadbery@ntlworld.com>
To: bill.page1@sympatico.ca
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC714FF36@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FF36@Corporateex01.Corporate.drdc-rddc.gc.ca>
Content-Type: text/plain
Content-Transfer-Encoding: 7bit
Date: Thu, 25 Aug 2005 12:51:26 +0100
Message-Id: <1124970687.15621.41.camel@obscurity.home>
Mime-Version: 1.0
X-Mailer: Evolution 2.0.1
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 12:25:32 -0000
On Wed, 2005-08-24 at 17:48 -0400, Page, Bill wrote:
> Peter,
>
> On Wednesday, August 24, 2005 2:19 PM you wrote:
> > >
> > > \begin{aldor}
> > > Aldor code
> > > \end{aldor}
> > >
> >
> > This ought to work, but not immediately; One problem may be compiling
> > several aldor stanzas together - in this case you need to be able to
> > refer to earlier stanzas within the aldor block.
> >
> > Eg:
> >
> > \begin{aldor}
> > AldorCat: Category == with { funstuff }
> > \end{aldor}
> >
> > \begin{aldor}
> > AldorDomain: AldorCat with { ... } == add { ... }
> > \end{aldor}
> >
>
> In the case of \begin{axiom} sections, what MathAction does is
> generate a .input or .spad file for each section and then calls
> Axiom just once using stdin to pass )read or )compile commands
> for each section as appropriate. So, for each web page there is
> only one Axiom session and the namespace is the same for the
> entire page. (Except for comments containing \begin{axiom}
> sections which are initially each run in their own Axiom session
> before being appended to the page.)
>
> Perhaps I can do the same thing for Aldor? Can I run Aldor
> with a series of 'include' files - one for each \begin{aldor}
> section? Would that solve the problem of referring to earlier
> sections?
>
This would work, I think (and the problem with .ao files goes away),
although a page wouldn't be able to redefine an operator.
> To make this work properly I also need some kind of unique separator
> string between the Aldor compiler output for each include file.
> In the case of Axiom that separator is the interpreter '(99) -> '
> prompt sequence. For Spad sections, the \begin{axiom} \end{axiom}
> group is replaced with <pre>formatted</pre> HTML tag containing
> the Spad code followed by a <div> ... </div> section containing
> the Spad compiler output (which appears as "folded" text"). Can
> you suggest a way to generate such a separator for Aldor compiler
> output if the input consists of a series of 'include' files?
>
The only compiler output will be error messages from the compiler; If
you call the compiler via axiom (ie. ')co aldor-section.as'), then an
axiom prompt should be a perfectly good separator.
> The use of 'include' files above should handle this case, right?
>
Yep.
> Where do the .ao files need to be stored in order to be accessible
> to Axiom commands? Can more than one .ao file be generate per run
> of the Aldor compiler? Is it sufficient if they are saved in the
> current working directory?
>
Storing them in the current working directory should be fine, though
> # document Makefile.pamphlet
>
> in order to generate the Makefile and the type
>
> # make 2>&1 | tee aldor.log
>
> The result of doing this is contained in the new attached log
> file.
>
> The log file contains two runs of make in sequence. The first run
> stops with the message:
>
> make[1]: *** No rule to make target
> `/home/page/repository/axiom--main--1/int/aldor/dep_spad.stamp', needed
> by `/home/page/repository/axiom--main--1/int/aldor/saxiom/spadset.mk'.
> Stop.
> The build progressed further but then apparently stopped because
> a statement in the generated Makefile exceeded some command line
> length limit for either make or /bin/sh.
>
> What linux operating system and utility versions are you using
> to do your development? I am trying to build this on the
> axiom-developer/MathAction server which is running RedHat 9
> (updated almost, I think, to the level when RedHat discontinued
> it's development about two years ago in favor of Fedora). The
> server runs in shared virtual server mode.
I'm using SuSE 9.2; the make version is 3.80 (you may have the previous
version; 3.80 was released in october 2002). The problem seems to be
that Make.functions hasn't been generated from Make.functions.pamphlet;
if you do this manually, it'll get further.
The second error was not due to an excessively long command line, IIRC
bash has no such limit, especially in 'for' statements. The problem was
an ungenerated include file.
>
> Is there some way your java program can easily generate a more
> Portable Makefile? Or do you know of anyway to allocate a
> Larger command line buffer?
>
"Easily", not sure - I think it would mean a different approach, since
the java program currently just spits out sets of mutually dependent
domains, and is just there to help make on its way.
One way of simplifying matters would be to invoke 3 sequential builds;
Once to run document on everything, then for the dependency graphs, and
then once more to build the library. However, this may well still need
a more recent make.
> Regards,
> Bill Page.
>
--
Peter Broadbery <peter.broadbery@ntlworld.com>
From MAILER-DAEMON Thu Aug 25 09:20:28 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Hee-0007qa-Ct
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 09:20:28 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8Hec-0007oT-FV
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 09:20:26 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8HeZ-0007mK-CF
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 09:20:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8HeY-0007lS-PM
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 09:20:22 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8Hai-0007Xo-Ib
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 09:16:24 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PDEvwl007005;
Thu, 25 Aug 2005 08:14:57 -0500
From: mathaction@axiom-developer.org (Stefano Simonucci)
To: mathaction@axiom-developer.org
Message-ID: <430D89C9.7040606@tin.it>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 08:14:57 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] Non elementary integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 13:20:27 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Hi.
In the axiom manual I find
"Integration is the reverse process of differentiation, that is, an
integral of a function f with respect to a variable x is any function g
such that D(g, x) is equal to f.
....
Given an elementary function to integrate, Axiom returns a formal
integral as above only when it can prove that the integral is not
elementary and not when it cannot determine the integral. In this rare
case it prints a message that it cannot determine if an elementary
integral exists.
Now if I write
integrate(exp(x)/x,x)
I obtain
Ei(x)
while if I write
integrate(exp(x)/x^2,x)
I get a form integral. But the integral of exp(x)/x^2 can be given in
terms of Ei(x) as exp(x).
In fact I believed that the axiom can be able to find the solution that is
integrate(exp(x)/x^2,x) --> Ei(x)-exp(x)/x
But from the manual I deduce that exp(x)/x^2 can be prooved not
elementary integrable. Why exp(x)/x is integrable while exp(x)/x^2 not?
Thank you
Stefano
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg430D89C9.7040606@tin.it
From MAILER-DAEMON Thu Aug 25 10:21:43 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Ibv-0000yW-CG
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 10:21:43 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8Iaf-0000XN-OQ
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:20:27 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8IaM-0000Ob-SK
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:20:09 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8IaM-0000N3-HD
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:20:06 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8IPj-0003mF-1J
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:09:07 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PE7cwl006822;
Thu, 25 Aug 2005 09:07:38 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050825090734-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 09:07:38 -0500
Cc:
Subject: [Axiom-developer] [other Computer Algebra systems] Derive
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 14:21:41 -0000
Changes http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems/diff
--
Except for Reduce (by the kind permission of it's author) we do not have any commerical software on MathAction. I did approach both MapleSoft (Maple developers) and Wolfram (Mathematica developers) to see if they would provide a copy of their software and allow us to integrate it here on MathAction. But so far Maplesoft has officially (but respectfully) declined and Wolfram did not even reply to my email.
Apparently Derive is only available for Windows systems. Development of Derive seems to have essentially stopped.
How much does Derive cost? What are it's significant features compared to Axiom? Maple? Mathematica?
--
forwarded from http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems#msg20050825090734-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 10:41:01 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Iua-0006ms-Lb
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 10:41:00 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8IuM-0006hV-7o
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:40:46 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8IuF-0006f1-GW
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:40:39 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8IuE-0006YH-Nh
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:40:38 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8IgH-0005MO-MA
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:26:13 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PEOlwl029193;
Thu, 25 Aug 2005 09:24:47 -0500
From: mathaction@axiom-developer.org (Martin Rubey)
To: mathaction@axiom-developer.org
Message-ID: <17165.52018.250573.300334@seam101.local>
In-reply-to: <430D89C9.7040606@tin.it>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 09:24:47 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] Non elementary integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 14:40:51 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Dear Stefano,
Stefano Simonucci writes:
> Now if I write
> integrate(exp(x)/x,x)
> I obtain
> Ei(x)
> while if I write
> integrate(exp(x)/x^2,x)
> I get a form integral. But the integral of exp(x)/x^2 can be given in terms
> of Ei(x) as exp(x). In fact I believed that the axiom can be able to find
> the solution that is
> integrate(exp(x)/x^2,x) --> Ei(x)-exp(x)/x
this would be correct, yes.
> But from the manual I deduce that exp(x)/x^2 can be prooved not elementary
> integrable. Why exp(x)/x is integrable while exp(x)/x^2 not?
Well, exp(x)/x is *not* elementarily integrable, Ei(x) is simply defined to be
its integral. Ei(x) is *not* an elementary function. (in the mathematical
sense)
However, Axiom should still be able to figure out your integral. The
corresponding code is in intpm.spad, but your integral doesn't fit, it seems.
If you are willing to do some research, we might be able to figure out how to
improve the pattern matcher. There is also code by Manuel Bronstein (written in
maple), that would handle special functions. Maybe this should be integrated,
too.
Note that there are also two bugs (with fixes) filed on IssueTracker, so if you
rely heavily on integrals, you might want to patch your axiom:
http://page.axiom-developer.org/zope/mathaction/198IntegrateSinX2XIsNotHandled
http://page.axiom-developer.org/zope/mathaction/199IntegrateExpX2ExpXXX
The first patch is hidden in a comment, you'll have to look for it.
Martin
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg17165.52018.250573.300334@seam101.local
From MAILER-DAEMON Thu Aug 25 11:21:44 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8JXy-0007WR-QK
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 11:21:43 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8JXu-0007UM-Gj
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8JXs-0007TH-Af
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:37 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8JXO-0007Bd-Vm
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:08 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8IuA-00070q-P0
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:40:35 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PEd4wl000315;
Thu, 25 Aug 2005 09:39:04 -0500
From: mathaction@axiom-developer.org (root)
To: mathaction@axiom-developer.org
Message-ID: <200508251436.j7PEado13572@localhost.localdomain>
In-reply-to: <430D89C9.7040606@tin.it> (mathaction@axiom-developer.org)
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 09:39:04 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] [Axiom-mail] Non elementary
integration
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 15:21:39 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Stefano,
The key words are "elementary function". Some integration is done by
the Risch Algorithm. Essentially the Risch Algorithm can integrate
any function which results in something like
f(x) + log
exp(x)/x^2 cannot be integrated into this form. Axiom does some
integration by pattern matching and it appears that the pattern
matcher does not know exp(x)/x^2
Tim
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg200508251436.j7PEado13572@localhost.localdomain
From MAILER-DAEMON Thu Aug 25 11:21:50 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8JY4-0007Z6-LP
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 11:21:49 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8JXz-0007Wk-Jh
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:43 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8JXw-0007VZ-SA
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:41 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8JX9-0007Bf-84
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:20:51 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8J7R-0007oh-Tk
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:54:19 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 6D47666A01
for <axiom-developer@nongnu.org>; Thu, 25 Aug 2005 10:52:57 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 6B18F66A0A
for <axiom-developer@nongnu.org>; Thu, 25 Aug 2005 10:52:45 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Re: aldor patches
Date: Thu, 25 Aug 2005 10:52:44 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC714FFF0@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Re: aldor patches
Thread-Index: AcWpa+4A3mByldZpS7GfVbfipOXd0wAEqM1w
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Peter Broadbery" <peter.broadbery@ntlworld.com>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 15:21:44 -0000
Executive Summary:
The axiom/aldor build seems to have completed successfully
but we are missing an include file named 'axiom...'
On Thursday, August 25, 2005 7:51 AM Peter Broadbery wrote:
> ...=20
> The only compiler output will be error messages from the compiler;
> If you call the compiler via axiom (ie. ')co aldor-section.as'),
> then an axiom prompt should be a perfectly good separator.=20
>
Ah, yes I see. That would be real easy for me to integrate with
MathAction. If we *only* provide Aldor compilation via axiom
(as opposed to directly calling the compiler) is this a significant
limitation? Or is this the expected mode of interaction?
=20
> > The use of 'include' files above should handle this case, right?
> >
> Yep.
Suppose I generate a series of Aldor compiles from axiom like this:
)co aldor-section1.as
)co aldor-section2.as
)co aldor-section3.as
instead of using Aldor includes. Does the problem of having to
know the names of previous Aldor compiles return? Maybe this will
be more clear once I actually have Aldor running inside Axiom and
get a chance to play with it.
> ...=20
> I'm using SuSE 9.2; the make version is 3.80 (you may have the
> previous version; 3.80 was released in october 2002).
Yes I had the previous version 3.79.x. I just downloaded and
compiled Gnu make 3.80.
> The problem seems to be that Make.functions hasn't been generated
> from Make.functions.pamphlet; if you do this manually, it'll get
> further.
Yes that did it! The Aldor/Axiom build has now in the process of
compiling the Axiom library. What I did was the following:
1) Built Axiom from axiom--main--1--Patch-44
2) cd src; tar xzvf src_aldor.tgz
3) document Makefile.pamphlet
4) make
5) touch .../aldor/int/dep_spad.stamp
6) document Make.functions.pamphlet
7) make
Probably the intermediate make attempt step 4) is unnecessary.
The build has just completed successfully. The log ends like this:
...
AOBUILD LIB: axiom ELT: ZMOD DEPS: 4
LIB libaxiom.al ZMOD.ao D: 22 files
BUILT: libaxiom.al
cp -p /home/page/repository/axiom--main--1/int/aldor/lib/libaxiom.al
/home/page/repository/axiom--main--1/mnt/linux/algebra/libaxiom.al
echo built
/home/page/repository/axiom--main--1/mnt/linux/algebra/libaxiom.al
built /home/page/repository/axiom--main--1/mnt/linux/algebra/libaxiom.al
cp /usr/local/aldor/linux/1.0.2/lib/runtime.lsp
/home/page/repository/axiom--main--1/mnt/linux/aldor/lib/runtime.lsp
echo LSP->O: runtime.o
Built runtime.o
warning Targets are sources all_libaxiom all_runtime
Built libaxiom
make[1]: Leaving directory
`/home/page/repository/axiom--main--1/src/aldor'
[root@axiom-developer aldor]#
----------
> ...=20
> the java program currently just spits out sets of mutually dependent
> domains, and is just there to help make on its way.
>
In contrast to Tim Daly, I am very much in favor of this approach
to building a complex system like Axiom. I would like to see this
done in the Axiom build. But that is another story. :)
=20
> One way of simplifying matters would be to invoke 3 sequential
> builds; Once to run document on everything, then for the dependency
> graphs, and then once more to build the library. However, this may
> well still need a more recent make.
>=20
Yes, I upgraded to gnu make 3.8. That might well be a factor in
the successful completion of your aldor/axiom build.
Ok, so I need to test this thing. What do you suggest? Should
I try to compile the rr.as file?
[root@axiom-developer page]# AXIOMsys
AXIOM Computer Algebra System
Version: Axiom 3.9 (September 2005)
Timestamp: Tuesday August 23, 2005 at 22:37:35
------------------------------------------------------------------------
-----
Issue )copyright to view copyright notices.
Issue )summary for a summary of useful system commands.
Issue )quit to leave AXIOM and return to shell.
------------------------------------------------------------------------
-----
Re-reading compress.daase Re-reading interp.daase
Re-reading operation.daase
Re-reading category.daase
Re-reading browse.daase
(1) -> )co rr.as
Compiling AXIOM source code from file /home/page/rr.as using
AXIOM-XL compiler and options
-O -Fasy -Fao -Flsp -laxiom -Mno-AXL_W_WillObsolete -DAxiom -Y
$AXIOM/algebra
Use the system command )set compiler args to change these
options.
#1 (Warning) Deprecated message prefix: use `ALDOR_' instead of `_AXL'
"/home/page/rr.as", line 54:
#include "axiom"
^
[L54 C1] #2 (Error) Could not open file `axiom'.
The )library system command was not called after compilation.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/bc-matrix.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/bc-misc.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/bc-solve.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/bc-util.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/ht-util.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/htsetvar.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/ht-root.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-con.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-data.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/showimp.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-op1.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-op2.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-search.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-util.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/topics.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-prof.
Loading
/home/page/repository/axiom--main--1/mnt/linux/autoload/br-saturn.
(1) ->
-------
Looks like we are almost there now.
Oops. I seem to be missing an include file named 'axiom...'.
Or maybe in the Patch-44 distribution it is looking in the
wrong place. Where do I get that?
Thanks for your help!
Regards,
Bill Page.
From MAILER-DAEMON Thu Aug 25 11:22:00 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8JYF-0007e5-IV
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 11:21:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8JYB-0007cp-LI
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8JY9-0007bU-FH
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8JX8-0007BE-KO
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:20:50 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8J8S-0007rz-Ee
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 10:55:20 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PErrwl003829;
Thu, 25 Aug 2005 09:53:53 -0500
From: mathaction@axiom-developer.org (M. Edward (Ed) Borasky)
To: mathaction@axiom-developer.org
Message-ID: <430DDB7B.2010601@cesmail.net>
In-reply-to: <20050825090734-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 09:53:53 -0500
Cc:
Subject: [Axiom-developer] [other Computer Algebra systems] [other Computer
Algebra systems] Derive
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 15:21:56 -0000
Changes http://page.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems/diff
--
List price for Derive is about $200US and student price is about $100US.
Its core-level mathematical capabilities are equivalent to nearly every
"general" CAS out there, and anything you can implement in them can be
implemented in Derive. I have never been able to afford Maple or
Mathematica or even Reduce, so I can't comment on them.
Ease of use: Derive is much easier to use than Maxima, although I think
that's just because I've been using Derive since about 1994 (on DOS back
then!). I just started with Axiom, so I can't comment on it either.
Axiom has a great reputation on the "gentoo-science" mailing list, so
I'm learning how to use it.
Development does appear to have slowed down -- I wouldn't say stopped.
The release level is 6.1. A couple of years ago, the founders of Soft
Warehouse sold the business to Texas Instruments, so the business
decisions are made now by TI rather than the founders as near as I can
tell. In any event, Derive is essentially "complete" -- its main market
is students.
I haven't found anything it can't do in a professional environment,
though. My needs for a CAS right now are mostly to deal with equations
in computer performance modeling -- Markov chains, ODEs, Laplace
Transforms, etc. Derive handles them well and was my only practical
alternative on Windows systems until I got a working Maxima port a year
or so ago. But if you need Grobner basis calculations, well, they have
that too ... :)
Bill Page wrote:
>Changes http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems/diff
>--
>Except for Reduce (by the kind permission of it's author) we do not have any commerical software on MathAction. I did approach both MapleSoft (Maple developers) and Wolfram (Mathematica developers) to see if they would provide a copy of their software and allow us to integrate it here on MathAction. But so far Maplesoft has officially (but respectfully) declined and Wolfram did not even reply to my email.
>
>Apparently Derive is only available for Windows systems. Development of Derive seems to have essentially stopped.
>
>How much does Derive cost? What are it's significant features compared to Axiom? Maple? Mathematica?
>
>--
>forwarded from http://www.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems#msg20050825090734-0500@www.axiom-developer.org
>
>
>_______________________________________________
>Axiom-developer mailing list
>Axiom-developer@nongnu.org
>http://lists.nongnu.org/mailman/listinfo/axiom-developer
>
>
>
--
M. Edward (Ed) Borasky
http://www.borasky-research.net/
http://borasky-research.blogspot.com/
http://pdxneurosemantics.com
http://pdx-sales-coach.com
http://algocompsynth.com
--
forwarded from http://page.axiom-developer.org/zope/mathaction/OtherComputerAlgebraSystems#msg430DDB7B.2010601@cesmail.net
From MAILER-DAEMON Thu Aug 25 11:23:09 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8JZG-0008Cd-2i
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 11:23:02 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8JZ0-00083p-Rw
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:22:47 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8JYs-00082Q-Pg
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:22:42 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8JXQ-0007Bf-Rl
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:21:09 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8JUo-00013I-7K
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 11:18:26 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 7D71166AFF
for <axiom-developer@nongnu.org>; Thu, 25 Aug 2005 11:17:05 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 91F5F66AF4
for <axiom-developer@nongnu.org>; Thu, 25 Aug 2005 11:16:54 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Re: aldor patches
Date: Thu, 25 Aug 2005 11:16:53 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC7150007@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-MS-Has-Attach:
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Re: aldor patches
Thread-Index: AcWphLaP3LabA9bUSAKELAXWOIx73QAAfO+Q
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Peter Broadbery" <peter.broadbery@ntlworld.com>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 15:22:48 -0000
Peter,
On Thursday, August 25, 2005 10:53 AM I wrote:
>=20
> Executive Summary:
>=20
> The axiom/aldor build seems to have completed successfully
> but we are missing an include file named 'axiom...'
>=20
Ok, I followed step 2. from Martin's web page:
http://www.axiom-developer.org/zope/mathaction/AldorForAxiom
and created axiom.as in $ALDORROOT/include
Now the compile of rr.as completes successfully and Martin's
example factorial code in step 3. Great!
So the final step is just for me to put this version of
Axiom into production on the MathAction server.
Thanks again, and again.
Regards,
Bill Page.
> Peter Broadbery wrote:
> > The problem seems to be that Make.functions hasn't been generated
> > from Make.functions.pamphlet; if you do this manually, it'll get
> > further.
>=20
> Yes that did it! The Aldor/Axiom build has now in the process of
> compiling the Axiom library. What I did was the following:
>=20
> 1) Built Axiom from axiom--main--1--Patch-44
> 2) cd src; tar xzvf src_aldor.tgz
> 3) document Makefile.pamphlet
> 4) make
> 5) touch .../aldor/int/dep_spad.stamp
> 6) document Make.functions.pamphlet
> 7) make
>=20
> > However, this may well still need a more recent make.
> >
>=20
> Yes, I upgraded to gnu make 3.8. That might well be a factor in
> the successful completion of your aldor/axiom build.
>=20
From MAILER-DAEMON Thu Aug 25 12:49:56 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8KvL-00042g-Lv
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 12:49:55 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8KvG-00040J-P9
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 12:49:51 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8KvD-0003yD-9Y
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 12:49:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8KvC-0003y6-Ur
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 12:49:46 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8KsM-0000Ih-TG
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 12:46:51 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PGjEwl031859;
Thu, 25 Aug 2005 11:45:14 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050825114514-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 11:45:14 -0500
Cc:
Subject: [Axiom-developer] [MathAction]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 16:49:52 -0000
Changes http://www.axiom-developer.org/zope/mathaction/MathAction/diff
--
++added:
Current Version
The current version of Axiom on MathAction is
\begin{axiom}
)version
\end{axiom}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/MathAction#msg20050825114514-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 15:40:08 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Na4-0000rV-5x
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 15:40:08 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8Na0-0000q1-Vh
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 15:40:05 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8NZv-0000ny-RI
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 15:40:03 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8NZv-0000n9-Kn
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 15:39:59 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8NVH-0004ch-Vv
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 15:35:12 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PJXYwl008511;
Thu, 25 Aug 2005 14:33:34 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050825143328-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 14:33:34 -0500
Cc:
Subject: [Axiom-developer] [FrontPage] kk
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 19:40:05 -0000
Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--
http://www.fanny-girls.info/index2298.html
http://www.fanny-girls.info/index2306.html
http://www.fanny-girls.info/index2312.html
http://www.fanny-girls.info/index2335.html
http://www.fanny-girls.info/index2358.html
http://www.fanny-girls.info/index2367.html
http://www.fanny-girls.info/index2375.html
http://www.fanny-girls.info/index2425.html
http://www.fanny-girls.info/index2442.html
http://www.fanny-girls.info/index2473.html
http://www.fanny-girls.info/index2494.html
http://www.fanny-girls.info/index257.html
http://www.fanny-girls.info/index261.html
http://www.fanny-girls.info/index2636.html
http://www.fanny-girls.info/index2644.html
http://www.fanny-girls.info/index2649.html
http://www.fanny-girls.info/index2659.html
http://www.fanny-girls.info/index2677.html
http://www.fanny-girls.info/index268.html
http://www.fanny-girls.info/index2695.html
http://www.fanny-girls.info/index2738.html
http://www.fanny-girls.info/index2748.html
http://www.fanny-girls.info/index2759.html
http://www.fanny-girls.info/index279.html
http://www.fanny-girls.info/index2794.html
http://www.fanny-girls.info/index2827.html
http://www.fanny-girls.info/index2894.html
http://www.fanny-girls.info/index2918.html
http://www.fanny-girls.info/index2962.html
http://www.fanny-girls.info/index2965.html
http://www.fanny-girls.info/index2969.html
http://www.fanny-girls.info/index2998.html
http://www.fanny-girls.info/index3021.html
http://www.fanny-girls.info/index3028.html
http://www.fanny-girls.info/index3052.html
http://www.fanny-girls.info/index3060.html
http://www.fanny-girls.info/index3092.html
http://www.fanny-girls.info/index3098.html
http://www.fanny-girls.info/index3179.html
http://www.fanny-girls.info/index3190.html
http://www.fanny-girls.info/index3245.html
http://www.fanny-girls.info/index3268.html
http://www.fanny-girls.info/index3279.html
http://www.fanny-girls.info/index3305.html
http://www.fanny-girls.info/index3333.html
http://www.fanny-girls.info/index337.html
http://www.fanny-girls.info/index3415.html
http://www.fanny-girls.info/index3417.html
http://www.fanny-girls.info/index3438.html
http://www.fanny-girls.info/index3440.html
http://www.fanny-girls.info/index3453.html
http://www.fanny-girls.info/index3468.html
http://www.fanny-girls.info/index3470.html
http://www.fanny-girls.info/index3490.html
http://www.fanny-girls.info/index3510.html
http://www.fanny-girls.info/index3524.html
http://www.fanny-girls.info/index3537.html
http://www.fanny-girls.info/index3588.html
http://www.fanny-girls.info/index36.html
http://www.fanny-girls.info/index360.html
http://www.fanny-girls.info/index3604.html
http://www.fanny-girls.info/index3605.html
http://www.fanny-girls.info/index3670.html
http://www.fanny-girls.info/index3681.html
http://www.fanny-girls.info/index3751.html
http://www.fanny-girls.info/index3772.html
http://www.fanny-girls.info/index3829.html
http://www.fanny-girls.info/index3845.html
http://www.fanny-girls.info/index3858.html
http://www.fanny-girls.info/index3864.html
http://www.fanny-girls.info/index3889.html
http://www.fanny-girls.info/index3907.html
http://www.fanny-girls.info/index3940.html
http://www.fanny-girls.info/index3984.html
http://www.fanny-girls.info/index3987.html
http://www.fanny-girls.info/index4021.html
http://www.fanny-girls.info/index4024.html
http://www.fanny-girls.info/index404.html
http://www.fanny-girls.info/index4079.html
http://www.fanny-girls.info/index4081.html
http://www.fanny-girls.info/index4085.html
http://www.fanny-girls.info/index4090.html
http://www.fanny-girls.info/index4134.html
http://www.fanny-girls.info/index4146.html
http://www.fanny-girls.info/index4198.html
http://www.fanny-girls.info/index4251.html
http://www.fanny-girls.info/index4290.html
http://www.fanny-girls.info/index4308.html
http://www.fanny-girls.info/index4368.html
http://www.fanny-girls.info/index4395.html
http://www.fanny-girls.info/index4397.html
http://www.fanny-girls.info/index4460.html
http://www.fanny-girls.info/index4472.html
http://www.fanny-girls.info/index4485.html
http://www.fanny-girls.info/index4503.html
http://www.fanny-girls.info/index4526.html
http://www.fanny-girls.info/index4533.html
http://www.fanny-girls.info/index4535.html
http://www.fanny-girls.info/index4536.html
http://www.fanny-girls.info/index4542.html
http://www.fanny-girls.info/index4557.html
http://www.fanny-girls.info/index4565.html
http://www.fanny-girls.info/index4584.html
http://www.fanny-girls.info/index4620.html
http://www.fanny-girls.info/index4622.html
http://www.fanny-girls.info/index4682.html
http://www.fanny-girls.info/index470.html
http://www.fanny-girls.info/index4708.html
http://www.fanny-girls.info/index4711.html
http://www.fanny-girls.info/index4718.html
http://www.fanny-girls.info/index4720.html
http://www.fanny-girls.info/index4742.html
http://www.fanny-girls.info/index4751.html
http://www.fanny-girls.info/index4754.html
http://www.fanny-girls.info/index4801.html
http://www.fanny-girls.info/index484.html
http://www.fanny-girls.info/index486.html
http://www.fanny-girls.info/index4904.html
http://www.fanny-girls.info/index4951.html
http://www.fanny-girls.info/index4959.html
http://www.fanny-girls.info/index496.html
http://www.fanny-girls.info/index4965.html
http://www.fanny-girls.info/index515.html
http://www.fanny-girls.info/index67.html
http://www.fanny-girls.info/index523.html
http://www.fanny-girls.info/index544.html
http://www.fanny-girls.info/index559.html
http://www.fanny-girls.info/index616.html
http://www.fanny-girls.info/index68.html
http://www.fanny-girls.info/index70.html
http://www.fanny-girls.info/index739.html
http://www.fanny-girls.info/index747.html
http://www.fanny-girls.info/index750.html
http://www.fanny-girls.info/index769.html
http://www.fanny-girls.info/index77.html
http://www.fanny-girls.info/index816.html
http://www.fanny-girls.info/index84.html
http://www.fanny-girls.info/index844.html
http://www.fanny-girls.info/index892.html
http://www.fanny-girls.info/index900.html
http://www.fanny-girls.info/index924.html
http://www.fanny-girls.info/index1019.html
http://www.fanny-girls.info/index1031.html
http://www.fanny-girls.info/index1074.html
http://www.fanny-girls.info/index1076.html
http://www.fanny-girls.info/index1083.html
http://www.fanny-girls.info/index1170.html
http://www.fanny-girls.info/index1187.html
http://www.fanny-girls.info/index1197.html
http://www.fanny-girls.info/index1242.html
http://www.fanny-girls.info/index1243.html
http://www.fanny-girls.info/index1259.html
http://www.fanny-girls.info/index126.html
http://www.fanny-girls.info/index1261.html
http://www.fanny-girls.info/index1283.html
http://www.fanny-girls.info/index1312.html
http://www.fanny-girls.info/index1324.html
http://www.fanny-girls.info/index1372.html
http://www.fanny-girls.info/index1402.html
http://www.fanny-girls.info/index1415.html
http://www.fanny-girls.info/index148.html
http://www.fanny-girls.info/index1492.html
http://www.fanny-girls.info/index1493.html
http://www.fanny-girls.info/index1503.html
http://www.fanny-girls.info/index1529.html
http://www.fanny-girls.info/index1556.html
http://www.fanny-girls.info/index1605.html
http://www.fanny-girls.info/index1618.html
http://www.fanny-girls.info/index1688.html
http://www.fanny-girls.info/index1721.html
http://www.fanny-girls.info/index1733.html
http://www.fanny-girls.info/index1742.html
http://www.fanny-girls.info/index1766.html
http://www.fanny-girls.info/index1768.html
http://www.fanny-girls.info/index1777.html
http://www.fanny-girls.info/index1790.html
http://www.fanny-girls.info/index1794.html
http://www.fanny-girls.info/index183.html
http://www.fanny-girls.info/index185.html
http://www.fanny-girls.info/index1910.html
http://www.fanny-girls.info/index1933.html
http://www.fanny-girls.info/index1967.html
http://www.fanny-girls.info/index1986.html
http://www.fanny-girls.info/index1991.html
http://www.fanny-girls.info/index1999.html
http://www.fanny-girls.info/index2011.html
http://www.fanny-girls.info/index2070.html
http://www.fanny-girls.info/index2076.html
http://www.fanny-girls.info/index2091.html
http://www.fanny-girls.info/index2106.html
http://www.fanny-girls.info/index2146.html
http://www.fanny-girls.info/index2183.html
http://www.fanny-girls.info/index2189.html
http://www.fanny-girls.info/index2242.html
http://www.fanny-girls.info/index2270.html
http://www.fanny-girls.info/index2326.html
http://www.fanny-girls.info/index2328.html
http://www.fanny-girls.info/index2340.html
http://www.fanny-girls.info/index2341.html
http://www.fanny-girls.info/index2352.html
http://www.fanny-girls.info/index2405.html
http://www.fanny-girls.info/index245.html
http://www.fanny-girls.info/index2451.html
http://www.fanny-girls.info/index2464.html
http://www.fanny-girls.info/index2531.html
http://www.fanny-girls.info/index2538.html
http://www.fanny-girls.info/index2576.html
http://www.fanny-girls.info/index2591.html
http://www.fanny-girls.info/index2597.html
http://www.fanny-girls.info/index2710.html
http://www.fanny-girls.info/index2750.html
http://www.fanny-girls.info/index2802.html
http://www.fanny-girls.info/index2843.html
http://www.fanny-girls.info/index2857.html
http://www.fanny-girls.info/index2908.html
http://www.fanny-girls.info/index2949.html
http://www.fanny-girls.info/index2950.html
http://www.fanny-girls.info/index2958.html
http://www.fanny-girls.info/index3003.html
http://www.fanny-girls.info/index3044.html
http://www.fanny-girls.info/index3071.html
http://www.fanny-girls.info/index3079.html
http://www.fanny-girls.info/index3117.html
http://www.fanny-girls.info/index3120.html
http://www.fanny-girls.info/index3124.html
http://www.fanny-girls.info/index3125.html
http://www.fanny-girls.info/index3140.html
http://www.fanny-girls.info/index3151.html
http://www.fanny-girls.info/index3157.html
http://www.fanny-girls.info/index3181.html
http://www.fanny-girls.info/index3207.html
http://www.fanny-girls.info/index3209.html
http://www.fanny-girls.info/index3218.html
http://www.fanny-girls.info/index3275.html
http://www.fanny-girls.info/index3287.html
http://www.fanny-girls.info/index3291.html
http://www.fanny-girls.info/index3309.html
http://www.fanny-girls.info/index3322.html
http://www.fanny-girls.info/index3329.html
http://www.fanny-girls.info/index3384.html
http://www.fanny-girls.info/index3405.html
http://www.fanny-girls.info/index3479.html
http://www.fanny-girls.info/index3495.html
http://www.fanny-girls.info/index3544.html
http://www.fanny-girls.info/index3606.html
http://www.fanny-girls.info/index3625.html
http://www.fanny-girls.info/index3678.html
http://www.fanny-girls.info/index3719.html
http://www.fanny-girls.info/index376.html
http://www.fanny-girls.info/index3763.html
http://www.fanny-girls.info/index3769.html
http://www.fanny-girls.info/index3785.html
http://www.fanny-girls.info/index3848.html
http://www.fanny-girls.info/index3875.html
http://www.fanny-girls.info/index3891.html
http://www.fanny-girls.info/index3956.html
http://www.fanny-girls.info/index3957.html
http://www.fanny-girls.info/index3958.html
http://www.fanny-girls.info/index3965.html
http://www.fanny-girls.info/index3972.html
http://www.fanny-girls.info/index3985.html
http://www.fanny-girls.info/index4008.html
http://www.fanny-girls.info/index4043.html
http://www.fanny-girls.info/index4070.html
http://www.fanny-girls.info/index4114.html
http://www.fanny-girls.info/index4116.html
http://www.fanny-girls.info/index4136.html
http://www.fanny-girls.info/index4150.html
http://www.fanny-girls.info/index4165.html
http://www.fanny-girls.info/index4176.html
http://www.fanny-girls.info/index4179.html
http://www.fanny-girls.info/index419.html
http://www.fanny-girls.info/index4263.html
http://www.fanny-girls.info/index4285.html
http://www.fanny-girls.info/index4301.html
http://www.fanny-girls.info/index4305.html
http://www.fanny-girls.info/index4383.html
http://www.fanny-girls.info/index4391.html
http://www.fanny-girls.info/index4401.html
http://www.fanny-girls.info/index4415.html
http://www.fanny-girls.info/index4464.html
http://www.fanny-girls.info/index447.html
http://www.fanny-girls.info/index4479.html
http://www.fanny-girls.info/index4484.html
http://www.fanny-girls.info/index4489.html
http://www.fanny-girls.info/index4490.html
http://www.fanny-girls.info/index4519.html
http://www.fanny-girls.info/index4638.html
http://www.fanny-girls.info/index4641.html
http://www.fanny-girls.info/index4666.html
http://www.fanny-girls.info/index4683.html
http://www.fanny-girls.info/index4695.html
http://www.fanny-girls.info/index4709.html
http://www.fanny-girls.info/index4713.html
http://www.fanny-girls.info/index4744.html
http://www.fanny-girls.info/index4784.html
http://www.fanny-girls.info/index4789.html
http://www.fanny-girls.info/index4806.html
http://www.fanny-girls.info/index4813.html
http://www.fanny-girls.info/index4817.html
http://www.fanny-girls.info/index483.html
http://www.fanny-girls.info/index4836.html
http://www.fanny-girls.info/index4846.html
http://www.fanny-girls.info/index4914.html
http://www.fanny-girls.info/index4919.html
http://www.fanny-girls.info/index4957.html
http://www.fanny-girls.info/index4967.html
http://www.fanny-girls.info/index4977.html
http://www.fanny-girls.info/index4987.html
http://www.fanny-girls.info/index4999.html
http://www.fanny-girls.info/index577.html
http://www.fanny-girls.info/index592.html
http://www.fanny-girls.info/index618.html
http://www.fanny-girls.info/index62.html
http://www.fanny-girls.info/index63.html
http://www.fanny-girls.info/index639.html
http://www.fanny-girls.info/index643.html
http://www.fanny-girls.info/index649.html
http://www.fanny-girls.info/index681.html
http://www.fanny-girls.info/index695.html
http://www.fanny-girls.info/index702.html
http://www.fanny-girls.info/index704.html
http://www.fanny-girls.info/index726.html
http://www.fanny-girls.info/index727.html
http://www.fanny-girls.info/index767.html
http://www.fanny-girls.info/index784.html
http://www.fanny-girls.info/index812.html
http://www.fanny-girls.info/index822.html
http://www.fanny-girls.info/index850.html
http://www.fanny-girls.info/index857.html
http://www.fanny-girls.info/index890.html
http://www.fanny-girls.info/index969.html
http://www.fanny-girls.info/index999.html
http://www.fanny-girls.info/index1017.html
http://www.fanny-girls.info/index1027.html
http://www.fanny-girls.info/index1064.html
http://www.fanny-girls.info/index1096.html
http://www.fanny-girls.info/index1144.html
http://www.fanny-girls.info/index1152.html
http://www.fanny-girls.info/index1162.html
http://www.fanny-girls.info/index1200.html
http://www.fanny-girls.info/index1204.html
http://www.fanny-girls.info/index1212.html
http://www.fanny-girls.info/index1231.html
http://www.fanny-girls.info/index1241.html
http://www.fanny-girls.info/index127.html
http://www.fanny-girls.info/index1279.html
http://www.fanny-girls.info/index128.html
http://www.fanny-girls.info/index1331.html
http://www.fanny-girls.info/index1400.html
http://www.fanny-girls.info/index1413.html
http://www.fanny-girls.info/index1426.html
http://www.fanny-girls.info/index1434.html
http://www.fanny-girls.info/index1436.html
http://www.fanny-girls.info/index1437.html
http://www.fanny-girls.info/index1475.html
http://www.fanny-girls.info/index1530.html
http://www.fanny-girls.info/index1549.html
http://www.fanny-girls.info/index1623.html
http://www.fanny-girls.info/index1642.html
http://www.fanny-girls.info/index1663.html
http://www.fanny-girls.info/index1678.html
http://www.fanny-girls.info/index1683.html
http://www.fanny-girls.info/index169.html
http://www.fanny-girls.info/index1692.html
http://www.fanny-girls.info/index1701.html
http://www.fanny-girls.info/index1718.html
http://www.fanny-girls.info/index1750.html
http://www.fanny-girls.info/index177.html
http://www.fanny-girls.info/index1799.html
http://www.fanny-girls.info/index1825.html
http://www.fanny-girls.info/index1834.html
http://www.fanny-girls.info/index1871.html
http://www.fanny-girls.info/index1885.html
http://www.fanny-girls.info/index1925.html
http://www.fanny-girls.info/index1936.html
http://www.fanny-girls.info/index197.html
http://www.fanny-girls.info/index1970.html
http://www.fanny-girls.info/index201.html
http://www.fanny-girls.info/index2052.html
http://www.fanny-girls.info/index2060.html
http://www.fanny-girls.info/index2082.html
http://www.fanny-girls.info/index2128.html
http://www.fanny-girls.info/index2129.html
http://www.fanny-girls.info/index2143.html
http://www.fanny-girls.info/index2153.html
http://www.fanny-girls.info/index2167.html
http://www.fanny-girls.info/index2168.html
http://www.fanny-girls.info/index2178.html
http://www.fanny-girls.info/index2247.html
http://www.fanny-girls.info/index2249.html
http://www.fanny-girls.info/index2262.html
http://www.fanny-girls.info/index2266.html
http://www.fanny-girls.info/index2321.html
http://www.fanny-girls.info/index236.html
http://www.fanny-girls.info/index2363.html
http://www.fanny-girls.info/index239.html
http://www.fanny-girls.info/index2395.html
http://www.fanny-girls.info/index2408.html
http://www.fanny-girls.info/index2416.html
http://www.fanny-girls.info/index2458.html
http://www.fanny-girls.info/index2519.html
http://www.fanny-girls.info/index2566.html
http://www.fanny-girls.info/index2590.html
http://www.fanny-girls.info/index2616.html
http://www.fanny-girls.info/index2622.html
http://www.fanny-girls.info/index2627.html
http://www.fanny-girls.info/index2641.html
http://www.fanny-girls.info/index2690.html
http://www.fanny-girls.info/index2727.html
http://www.fanny-girls.info/index2732.html
http://www.fanny-girls.info/index2757.html
http://www.fanny-girls.info/index2779.html
http://www.fanny-girls.info/index2832.html
http://www.fanny-girls.info/index2868.html
http://www.fanny-girls.info/index290.html
http://www.fanny-girls.info/index2929.html
http://www.fanny-girls.info/index2930.html
http://www.fanny-girls.info/index2954.html
http://www.fanny-girls.info/index296.html
http://www.fanny-girls.info/index2990.html
http://www.fanny-girls.info/index2993.html
http://www.fanny-girls.info/index3001.html
http://www.fanny-girls.info/index3039.html
http://www.fanny-girls.info/index3087.html
http://www.fanny-girls.info/index3090.html
http://www.fanny-girls.info/index3115.html
http://www.fanny-girls.info/index3160.html
http://www.fanny-girls.info/index3161.html
http://www.fanny-girls.info/index322.html
http://www.fanny-girls.info/index3230.html
http://www.fanny-girls.info/index3235.html
http://www.fanny-girls.info/index3280.html
http://www.fanny-girls.info/index3281.html
http://www.fanny-girls.info/index3343.html
http://www.fanny-girls.info/index3351.html
http://www.fanny-girls.info/index3360.html
http://www.fanny-girls.info/index3392.html
http://www.fanny-girls.info/index340.html
http://www.fanny-girls.info/index3439.html
http://www.fanny-girls.info/index3447.html
http://www.fanny-girls.info/index3487.html
http://www.fanny-girls.info/index3491.html
http://www.fanny-girls.info/index3635.html
http://www.fanny-girls.info/index3640.html
http://www.fanny-girls.info/index3642.html
http://www.fanny-girls.info/index3647.html
http://www.fanny-girls.info/index3650.html
http://www.fanny-girls.info/index3697.html
--
forwarded from http://page.axiom-developer.org/zope/mathaction/FrontPage#msg20050825143328-0500@page.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 16:14:09 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8O3R-00071K-Th
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 16:10:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8O3B-0006u4-VA
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:10:14 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8O35-0006qv-KD
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:10:08 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8O35-0006pu-Aa
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:10:07 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8Nw5-0006DC-Aj
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:02:53 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PK1Iwl015928;
Thu, 25 Aug 2005 15:01:19 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050825150118-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 15:01:18 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 20:10:22 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-functions which you then can use in Axiom. Unfortunately, support for domains
-and packages is still buggy, but it's nearly working - thanks to Peter!
functions which you then can use Axiom.
Support for domains and packages is now in the testing stage. The Axiom/Aldor
interface has been updated for the open source version of Axiom (as of Patch-44)
by Peter Broadbery. **Thanks Peter!** A new version of Axiom based on
axiom--main--1--Patch-44 and Peter's interface has been installed here on
MathAction.
Aldor on MathAction
This is a simple example of how to use Aldor on MathAction.
First compile some function, for example this non-recursive
method to compute the factorial:
\begin{aldor}
#include "axiom.as"
fact(n: PositiveInteger): PositiveInteger == {
n <= 1 => 1;
res: PositiveInteger := 1;
while n > 1 repeat {
res := res * n;
n := n-1;
}
res
}
\end{aldor}
Now call the function in Axiom as you would any other
Axiom function:
\begin{axiom}
fact(11)
\end{axiom}
Building Axiom with Aldor
(preliminary instructions)
We plan to (re-)integrate the linkage of Axiom with the Aldor as an
optional part of the Axiom build in the next release of Axiom 3 beta.
Until then to build Axiom with Aldor support you must do the following:
1. Make sure you have the most up to date version of gnu make
make --version
GNU Make 3.80
If not, then upgrade your version of make or linux first.
2. Install the Java development kit JDK
http://java.sun.com/j2se/1.5.0/download.jsp
3. Download and install Aldor as described here:
http://www.aldor.org
Be sure to set ALDORROOT and the PATH to Aldor properly for
your system.
4. Download Peter's Aldor patches and make files here
"aldor.diff":aldor.diff
"src_aldor2.tgz":src_aldor2.tgz
5. Update your Axiom source code to Patch-44 (or greater):
cd axiom--main--1
tla update
6. Apply the Aldor patches::
patch -p 1 < ~/aldor.diff
7. Now build a new version of Axiom::
./configure
(set AXIOM environment variables)
make
8. Extract the Aldor make files::
cd src
tar xzvf ~/src_aldor2.tgz
9. Build the Aldor interface using the following commands:
1. cd aldor
2. document Makefile.pamphlet
3. touch ../../int/aldor/dep_spad.stamp
4. document Make.functions.pamphlet
5. make 2>&1 | tee aldor.log
The build might take up to 2 hours or some machines.
10. Finally, download and save the file
"axiom.as":axiom.as
into 'aldor/1.0.2/linux/include/' of your aldor (binary) distribution.
Congratulations! Now you should be able to compile Aldor files in Axiom.
11. Save the fact example above into a file named 'fact.as'
12. Start Axiom
13. Compile and run the example file
)co fact.as
fact(5)
<hr />
Out of Date
The information below is out of date and will be soon replaced
Unfortunately, support for domains and packages is still buggy, but
it's nearly working - thanks to Peter!
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050825150118-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 16:14:50 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8O7e-0008OM-3E
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 16:14:50 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8O3L-00070P-Gf
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:10:24 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8O39-0006sj-Pu
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:10:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8O38-0006pu-FB
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:10:10 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8Npe-0005xG-RS
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 15:56:15 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PJscwl014002;
Thu, 25 Aug 2005 14:54:38 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050825145434-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 14:54:34 -0500
Cc:
Subject: [Axiom-developer] [FrontPage]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 20:14:45 -0000
Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff
--
--removed:
-
-
-From unknown Mon Aug 22 15:44:44 -0500 2005
-From: unknown
-Date: Mon, 22 Aug 2005 15:44:44 -0500
-Subject: integration
-Message-ID: <20050822154444-0500@page.axiom-developer.org>
-
-the function f(x,y) = 12xy(1-y) for 0<x<1, 0<y<1
-
-the condition of inequality (x-y)> (1/2)
-
-what if the limits of integration are functions of the variable I
-am integrating over.
-
-is this somthing which can be done in a simple way, with Axiom?
-
-examples:
-Mathimatic 5.1:
-[462 more lines...]
--
forwarded from http://page.axiom-developer.org/zope/mathaction/FrontPage#msg20050825145434-0500@page.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 16:20:15 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8OCt-0002jL-2C
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 16:20:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8OCi-0002g2-6x
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:20:05 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8OCc-0002cs-0s
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:19:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8OCZ-0002am-9v
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:19:55 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8O8h-0007Pd-6U
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:15:55 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PKELwl019203;
Thu, 25 Aug 2005 15:14:21 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050825151421-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 15:14:21 -0500
Cc:
Subject: [Axiom-developer] [FrontPage]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 20:20:10 -0000
Changes http://www.axiom-developer.org/zope/mathaction/FrontPage/diff
--
++added:
<tr><td style="text-align:center"><img src="new.gif" /></td><td>
Axiom also supports "Aldor":AldorForAxiom as the new library compiler</td></tr>
??changed:
-<tr><td style="text-align:center">o</td><td><font color="red">**New:**</font>
<tr><td style="text-align:center">o</td><td>
--
forwarded from http://www.axiom-developer.org/zope/mathaction/FrontPage#msg20050825151421-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 16:26:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8OIU-0004KO-6i
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 16:26:02 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8OIO-0004Im-8m
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:25:56 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8OIL-0004Hk-0i
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:25:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8OIK-0004DQ-4g
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:25:52 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8OER-00081O-0K
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:21:51 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PKKEwl020739;
Thu, 25 Aug 2005 15:20:14 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050825152014-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 15:20:14 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 20:25:57 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-method to compute the factorial:
method to compute the factorial. In the MathAction editor Aldor
code appears between !\begin{aldor} ... \end{aldor} tags.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050825152014-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 16:26:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8OIw-0004Y8-F9
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 16:26:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8OIq-0004VJ-4F
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:26:24 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8OIl-0004TW-DH
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:26:20 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8OIl-0004DQ-0T
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:26:19 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8OAG-0007Wd-Hf
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 16:17:32 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PKFuwl019918;
Thu, 25 Aug 2005 15:15:57 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050825151556-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 15:15:56 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 20:26:27 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-13. Compile and run the example file
-
- )co fact.as
- fact(5)
13. Compile and run the example file::
)co fact.as
fact(5)
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050825151556-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 17:10:40 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Oze-0000pf-GV
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 17:10:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8OzV-0000nb-VX
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:10:31 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8OzP-0000m1-4O
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:10:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8OzN-0000kH-Fy
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:10:21 -0400
Received: from [193.252.22.28] (helo=smtp3.wanadoo.fr)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8Otu-0002CU-3f
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:04:42 -0400
Received: from me-wanadoo.net (localhost [127.0.0.1])
by mwinf0307.wanadoo.fr (SMTP Server) with ESMTP id 7B3291C001EA
for <axiom-developer@nongnu.org>; Thu, 25 Aug 2005 23:03:17 +0200 (CEST)
Received: from ALille-251-1-59-192.w82-127.abo.wanadoo.fr
(ALille-251-1-59-192.w82-127.abo.wanadoo.fr [82.127.223.192])
by mwinf0307.wanadoo.fr (SMTP Server) with ESMTP id 1835F1C001F1;
Thu, 25 Aug 2005 23:03:17 +0200 (CEST)
X-ME-UUID: 20050825210317992.1835F1C001F1@mwinf0307.wanadoo.fr
Subject: RE: [Axiom-developer] Re: aldor patches
From: Vanuxem =?ISO-8859-1?Q?Gr=E9gory?= <g.vanuxem@wanadoo.fr>
To: Peter Broadbery <peter.broadbery@ntlworld.com>
In-Reply-To: <1124907565.6127.90.camel@obscurity.home>
References: <1FFA4B6E1B01844FBF2C537A791A4AC714FD4C@Corporateex01.Corporate.drdc-rddc.gc.ca>
<1124907565.6127.90.camel@obscurity.home>
Content-Type: text/plain; charset=ISO-8859-1
Date: Thu, 25 Aug 2005 23:04:09 +0200
Message-Id: <1125003849.3237.0.camel@localhost.localdomain>
Mime-Version: 1.0
X-Mailer: Evolution 2.2.3
Content-Transfer-Encoding: quoted-printable
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 21:10:34 -0000
Le mercredi 24 ao=FBt 2005 =E0 19:19 +0100, Peter Broadbery a =E9crit :
>=20
> Yes, this is due to me not testing stuff terribly well. I've sent Tim =
a
> new .tgz - appended below.
>=20
Amazing, thanks.
Cheers,
Greg
From MAILER-DAEMON Thu Aug 25 17:41:02 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8PT3-0003gn-HS
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 17:41:01 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8PSw-0003dh-62
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:40:54 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8PSr-0003az-61
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:40:52 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8PSo-0003Y7-5U
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:40:46 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8PG5-0003zb-Fs
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 17:27:37 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7PLQ2wl004216;
Thu, 25 Aug 2005 16:26:02 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050825162602-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Thu, 25 Aug 2005 16:26:02 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 25 Aug 2005 21:40:56 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
++added:
See also a more complex example in [Sandbox Aldor Testing]
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050825162602-0500@www.axiom-developer.org
From MAILER-DAEMON Thu Aug 25 21:12:08 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8SlM-0002FZ-PV
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 21:12:08 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8SlK-0002En-LS
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:12:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8Sjg-000224-0f
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:10:25 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8SjS-0001ta-RZ
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:10:10 -0400
Received: from [68.142.201.187] (helo=web31707.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E8SNW-0007uI-1o
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 20:47:30 -0400
Received: (qmail 52195 invoked by uid 60001); 26 Aug 2005 00:46:03 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=CZLPI2d25DEbjgEk/QtCsuD57ss3Khp+auQsKii012ay/hUzUyZezUjbd9Ll/WgXJAl4h3u2rcAV0Oemf+faoYwfEL5UHtIrU5J/KlUmUtZm/qjoa8JGyamve00mLcFS17P2ob5lnHyQdDA7FYV7zhKejuhz7BQRHa64GksxZbk=
;
Message-ID: <20050826004603.52193.qmail@web31707.mail.mud.yahoo.com>
Received: from [68.230.220.222] by web31707.mail.mud.yahoo.com via HTTP;
Thu, 25 Aug 2005 17:46:03 PDT
Date: Thu, 25 Aug 2005 17:46:03 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
To: axiom-developer@nongnu.org
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Subject: [Axiom-developer] Include images in pamphlet files?
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 01:12:07 -0000
I suppose this might be an odd question, but I was wondering if it was
possible to include figures in the traditional way in Axiom's literate
code files? (/includegraphics or some such?)
Cheers,
CY
__________________________________________________
Do You Yahoo!?
Tired of spam? Yahoo! Mail has the best spam protection around
http://mail.yahoo.com
From MAILER-DAEMON Thu Aug 25 21:21:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Stz-0004a8-8K
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 21:21:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8Stw-0004YP-71
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:21:00 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8Stq-0004Ue-LQ
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:20:55 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8Stq-0004UM-Eo
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:20:54 -0400
Received: from [24.154.1.20] (helo=mx-1.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8SqG-0000zV-4g
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:17:12 -0400
Received: from mua-1.zoominternet.net (mua-1.zoominternet.net [24.154.1.44])
by mx-1.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7Q1Fdap003574;
Thu, 25 Aug 2005 21:15:39 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-1.zoominternet.net (Postfix) with ESMTP id DB92B7F410;
Thu, 25 Aug 2005 21:15:33 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7Q1DSs13894;
Thu, 25 Aug 2005 21:13:28 -0400
Date: Thu, 25 Aug 2005 21:13:28 -0400
Message-Id: <200508260113.j7Q1DSs13894@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: smustudent1@yahoo.com
In-reply-to: <20050826004603.52193.qmail@web31707.mail.mud.yahoo.com> (message
from C Y on Thu, 25 Aug 2005 17:46:03 -0700 (PDT))
Subject: Re: [Axiom-developer] Include images in pamphlet files?
References: <20050826004603.52193.qmail@web31707.mail.mud.yahoo.com>
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.20
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 01:21:01 -0000
Yes, it's possible. The book includes figures.
see src/doc/book.pamphlet
Tim
From MAILER-DAEMON Thu Aug 25 21:25:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8Sy8-0006IU-UM
for mharc-axiom-developer@gnu.org; Thu, 25 Aug 2005 21:25:21 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8Sy5-0006HM-Bt
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:25:17 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8Sxz-0006Ep-81
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:25:12 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8Sxz-0006EP-2T
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:25:11 -0400
Received: from [24.154.1.20] (helo=mx-1.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8SuO-0001EU-Gs
for axiom-developer@nongnu.org; Thu, 25 Aug 2005 21:21:28 -0400
Received: from mua-1.zoominternet.net (mua-1.zoominternet.net [24.154.1.44])
by mx-1.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7Q1Ju7R009192;
Thu, 25 Aug 2005 21:19:56 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-1.zoominternet.net (Postfix) with ESMTP id E059A7F419;
Thu, 25 Aug 2005 21:19:50 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7Q1Hkr13902;
Thu, 25 Aug 2005 21:17:46 -0400
Date: Thu, 25 Aug 2005 21:17:46 -0400
Message-Id: <200508260117.j7Q1Hkr13902@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: smustudent1@yahoo.com
In-reply-to: <20050826004603.52193.qmail@web31707.mail.mud.yahoo.com> (message
from C Y on Thu, 25 Aug 2005 17:46:03 -0700 (PDT))
Subject: Re: [Axiom-developer] Include images in pamphlet files?
References: <20050826004603.52193.qmail@web31707.mail.mud.yahoo.com>
X-CanItPRO-Stream: outgoing
X-Spam-Score: 1.2 (*) J_CHICKENPOX_34,J_CHICKENPOX_38
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.20
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 01:25:18 -0000
Pamphlet files are latex files with three additional pieces of syntax:
1) chunk definition
<<any string>>=
this can be anything and is called a chunk definition.
@
2) chunk use
This is the use of a chunk. You just use <<any string>> (assuming it has
a definition somehwhere. The information will be expanded in place. Think
of chunks as macros with no parameters.
3)
You can quote any string inline using [[some string]]
Other than that a pamphlet file is a latex file. The steps are:
notangle foo.pamphlet --> foo.code (pure code)
noweave foo.pamphlet --> foo.tex (pure latex)
So if you know how to do something in latex it all works the same.
Tim
From MAILER-DAEMON Fri Aug 26 12:46:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8hGU-0000Go-Bf
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 12:41:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8hGJ-00006a-T1
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 12:41:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8hG8-0008Ui-F2
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 12:40:53 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8hG8-0008Te-8Y
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 12:40:52 -0400
Received: from [193.124.167.24] (helo=inpbox.inp.nsk.su)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8h9t-0001JX-1a
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 12:34:25 -0400
Received: from star.inp.nsk.su (star.inp.nsk.su [193.124.167.6])
by inpbox.inp.nsk.su (8.12.1/8.12.1) with ESMTP id j7QGWbBj009446
for <axiom-developer@nongnu.org>; Fri, 26 Aug 2005 23:32:37 +0700
Received: from star.inp.nsk.su (star.inp.nsk.su [127.0.0.1])
by star.inp.nsk.su (8.13.1/8.13.1) with ESMTP id j7QGWiv1027033
for <axiom-developer@nongnu.org>; Fri, 26 Aug 2005 23:32:44 +0700
Received: from localhost (grozin@localhost)
by star.inp.nsk.su (8.13.1/8.13.1/Submit) with ESMTP id j7QGWilu027030
for <axiom-developer@nongnu.org>; Fri, 26 Aug 2005 23:32:44 +0700
Date: Fri, 26 Aug 2005 23:32:44 +0700 (NOVST)
From: "Andrey G. Grozin" <A.G.Grozin@inp.nsk.su>
To: axiom-developer@nongnu.org
Message-ID: <Pine.LNX.4.58.0508262331130.27003@star.inp.nsk.su>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
X-Virus-Scanned: ClamAV 0.85.1/1041/Fri Aug 26 03:01:20 2005 on star.inp.nsk.su
X-Virus-Status: Clean
Subject: [Axiom-developer] steps towards better TeXmacs interface
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 16:41:11 -0000
Hello *,
If some program (e.g., TeXmacs) wants to communicate with axiom (via
pipes), it must know in a reliable way, where axiom prompts begin and end,
when axiom waits for input, where parts of axiom output written in LaTeX
begin and end, which parts of output are error messages, information about
the type of the expression just calculated, etc. In order to do so
reliably, axiom has to insert some (parametrized) markers at some key
positions of its output. Approach based on partial parsing of the plain
text output is (1) unreliable (as a user, I can print any string, and
confuse the interface); (2) ugly (axiom already knows where are its
prompts, but this information is not obvious in its plain-text output; why
should the interface guess, if axiom can tell it for sure?). The current
interface (written by me long ago) uses this last approach.
Another free computer algebra system, maxima, has incorporated inserting
of parametrized markers in the key positions of its output some time ago.
Now it is easy to interface it to almost any external program: one just
assigns appropriate values to the marker strings, and then maxima speaks
the protocol required by this external program. Maxima developers called
this "the transition from the stone age to the bronze age" (the idea is
that using corba or some such thing would be the enlightment era).
Axiom is still in the stone age in this respect (a more structured and
predictable input-output). I am now trying to move it to the bronze age.
The first (and rather obvious) place is interp/i-util.boot.pamphlet
I renamed the procedure MKPROMPT to MKPROMPT0, and inserted
$InterfaceStrings : Record(PromptPrefix:String,PromptSuffix:String) := ['"[",'"]"]
MKPROMPT() ==
STRCONC($InterfaceStrings.PromptPrefix,MKPROMPT0(),$InterfaceStrings.PromptSuffix)
This works, and my prompts are now in brackets (of course, this is just a
test). The next step is to find all the other prompt-like things in axiom
(i.e., output strings immediately preceeding user input). One of them is
the exit confirmation, for example; I'm sure there are many others. Each
prompt-like string should now be preceeded by
$InterfaceStrings.PromptPrefix and followed by
$InterfaceStrings.PromptSuffix . And this is only the first step, there
will be, e.g., $InterfaceStrings.LatexPrefix and
$InterfaceStrings.LatexSuffix and some other markers.
So, I have a few questions to the gurus:
1. What is the correct file to put the definition and initialisation of
$InterfaceStrings ?
2. Is there some way in which this initialisation could be made dependent
on external conditions? For example, can I pass a command-line argument to
AXIOMsys, and check it in boot code? Or check an environment variable in
the boot code?
At the moment, I know only one way to pass some information to axiom:
.axiom.input. But it would not be a good idea for TeXmacs, for example, to
overwrite the user's .axiom.input (if the user has one).
Making text exchanges between axiom and an external program to follow some
structured, predictable protocol (without playing guessing games) is the
first and the most important goal. But there are further necessary steps.
The current TeX generation (algebra/tex.spad.pamphlet) was written 15
years ago. Naturally, it does not produce modern standard LaTeX. I've made
a number of changes in tex.spad.pamphlet, to produce more
standards-complying LaTeX code instead of some historic relicts ( \over ,
\sub , \root ... \of ... , etc.). But this is not exactly what's needed.
TeXmacs has some strange requirements of its own (e.g., using \* for
multiplication). Therefore, I want to leave the old TeX generation alone,
and to introduce the new kind of output: texmacs. So that it will be
possible to say
)set output texmacs on
OK, I can easily duplicate tex.spad.pamphlet (should this be a new file,
texmacs.spad.pamphlet, or I just double the contents of tex.spad.pamphlet
?) I'll rename the domain TexFormat to TexmacsFormat, and make the
improvements I want. But what to do next? My (very incomplete...)
understanding is that I should insert the necessary pieces into
setvars.boot.pamphlet and setvart.boot.pamphlet (based on the TeX pieces,
with renamings and some small changes). But setvars.boot.pamphlet says
that if I change the boot code (and I'm going to do this), I have to
translate it to lisp and insert it into the same file. How do I do this,
exactly?
The new domain TexmacsFormat is the natural place to put the line-breaking
functionality. Some ideas can be taken from the C code which does such
line-breaking, and which is available. Of course, it is much more natural
to do this in the spad domain, where all the information about the
expression structure is available. Also, this C code generates LaTeX which
gives a reasonably-looking output, but is mathematically meaningless (it
uses \array's all over the place for things which are not arrays). This
leads to the fact that, if this C code is used, it is absolutely
impossible (and never will be possible) to copy a (part of) output by the
mouse and insert in into an input field (because it is not possible to
reconstruct the mathematical meaning of an expression from this obfuscated
LaTeX). And this goal is highly desirable. Therefore, the aim of
TexmacsForm will be to generate a meaningful LaTeX, with line breaking,
which can be used as a source of drag-and-drop in TeXmacs.
There is another possibility, which requires some thought. What if we send
expression tree from axiom to TeXmacs as an S-expression, instead of
serializing it via LaTeX? TeXmacs understands not only latex: fields, but
also scheme: fields. Generating scheme syntax from an axiom expression may
well be easier than generating LaTeX. Line breaking can be done on the
TeXmacs side, where the necessary information is available (it is in
principle impossible to tell, what is the width of a sub-expression after
typesetting, without actually typesetting it). But this is, probably, a
more long-term project. For now, I'd better keep as much as possible from
the current interface, but make it more robust and less ugly.
What do you think?
Andrey
From MAILER-DAEMON Fri Aug 26 13:55:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8iPu-0000qS-M3
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 13:55:02 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8iPs-0000oM-Fh
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 13:55:00 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8iPq-0000lR-6G
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 13:54:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8iJ2-0006yC-K8
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 13:47:56 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8hgG-0004Ow-7S
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 13:07:52 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7QH5SEU016506;
Fri, 26 Aug 2005 19:05:31 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17167.19307.67913.928555@seam101.local>
Date: Fri, 26 Aug 2005 19:03:39 +0200
To: "Andrey G. Grozin" <A.G.Grozin@inp.nsk.su>
Subject: Re: [Axiom-developer] steps towards better TeXmacs interface
In-Reply-To: <Pine.LNX.4.58.0508262331130.27003@star.inp.nsk.su>
References: <Pine.LNX.4.58.0508262331130.27003@star.inp.nsk.su>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=2 Fuz1=2 Fuz2=2
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 17:55:01 -0000
Dear Andrey,
just two comments:
regarding the markers and in and output parsing you should short circuit
yourself wiht Kai Kaminski, I suppose.
Second:
Andrey G. Grozin writes:
> ... if this C code is used, it is absolutely impossible (and never will be
> possible) to copy a (part of) output by the mouse and insert in into an
> input field (because it is not possible to reconstruct the mathematical
> meaning of an expression from this obfuscated LaTeX). And this goal is
> highly desirable.
Although this goal may be highly desirable, it will work only for some
domains. For others it is doomed to fail, simply because not all the
information is in the output. In fact, it will probably work only for those
domains that are ConvertibleTo InputForm...
So the probably better way to do this is to capture the label of the
output. The object is stored there, you don't need to reconstruct it. Example:
(1) -> )lib POLYTOPE
(1) -> cube 3
(1) "cube3"
Type: Polytope
(2) -> %::INFORM
Cannot convert from type Polytope to InputForm for value
"cube3"
(2) -> %::SEX
Cannot convert from type Polytope to SExpression for value
"cube3"
(2) -> %%(1)
(2) "cube3"
Type: Polytope
(3) -> hVector(%%(1))
(3) [1,3,3,1]
Type: Vector Integer
Martin
From MAILER-DAEMON Fri Aug 26 14:10:17 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8iee-0007Km-46
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 14:10:16 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8ieO-0007DI-Rq
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:10:01 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8ieL-0007BQ-Ce
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:09:58 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8ieL-0007BG-7k
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:09:57 -0400
Received: from [193.124.167.24] (helo=inpbox.inp.nsk.su)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8ibt-0007i7-UL
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:07:26 -0400
Received: from star.inp.nsk.su (star.inp.nsk.su [193.124.167.6])
by inpbox.inp.nsk.su (8.12.1/8.12.1) with ESMTP id j7QI5fbr010133
for <axiom-developer@nongnu.org>; Sat, 27 Aug 2005 01:05:41 +0700
Received: from star.inp.nsk.su (star.inp.nsk.su [127.0.0.1])
by star.inp.nsk.su (8.13.1/8.13.1) with ESMTP id j7QI5mHK027808
for <axiom-developer@nongnu.org>; Sat, 27 Aug 2005 01:05:48 +0700
Received: from localhost (grozin@localhost)
by star.inp.nsk.su (8.13.1/8.13.1/Submit) with ESMTP id j7QI5m4F027805
for <axiom-developer@nongnu.org>; Sat, 27 Aug 2005 01:05:48 +0700
Date: Sat, 27 Aug 2005 01:05:48 +0700 (NOVST)
From: "Andrey G. Grozin" <A.G.Grozin@inp.nsk.su>
To: axiom-developer@nongnu.org
Subject: Re: [Axiom-developer] steps towards better TeXmacs interface
In-Reply-To: <Pine.LNX.4.58.0508262331130.27003@star.inp.nsk.su>
Message-ID: <Pine.LNX.4.58.0508270058270.27728@star.inp.nsk.su>
References: <Pine.LNX.4.58.0508262331130.27003@star.inp.nsk.su>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
X-Virus-Scanned: ClamAV 0.85.1/1041/Fri Aug 26 03:01:20 2005 on star.inp.nsk.su
X-Virus-Status: Clean
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 18:10:04 -0000
I forgot to ask one more practical question. The prompt prefix and suffix
will contain non-printable chars, \0x02 (ctrl-b) and \0x05 (ctrl-e). How
can I include them in a boot string? Is literal embedding of these bytes
inside a string enough? (in emacs, ctrl-q ctrl-something inserts the
literal ctrl-something byte at the cursor position). Should it be prefixed
by _ ? In common lisp this method works: any strange byte within a string
will be printed, when the string is printed (I used this in the maxima
source for communication with TeXmacs).
Andrey
From MAILER-DAEMON Fri Aug 26 14:52:26 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8jJP-0004Yl-2y
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 14:52:23 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8jJI-0004VQ-Of
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:52:16 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8jJG-0004U1-G0
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:52:15 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8jJG-0004Rm-Bh
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:52:14 -0400
Received: from [68.142.201.192] (helo=web31712.mail.mud.yahoo.com)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E8jFM-0001fN-9H
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 14:48:12 -0400
Received: (qmail 51314 invoked by uid 60001); 26 Aug 2005 18:46:35 -0000
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=yahoo.com;
h=Message-ID:Received:Date:From:Subject:To:Cc:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
b=Y1CAoq02SC8r0QFOo+n2dNfrGYDowPPV8dlVpfwP+v0Y8II1DgZxpJYi2paVvJIMWZdC9NdETgOXYGqFXXaE++HXAPp42BgBVjLtVWcAgT7M9qsEpkE4u/jH0wi8aA7H5ot9DX18HumemQkWBnupimzlrjyO7ESX12Itef44OeA=
;
Message-ID: <20050826184635.51312.qmail@web31712.mail.mud.yahoo.com>
Received: from [216.174.43.204] by web31712.mail.mud.yahoo.com via HTTP;
Fri, 26 Aug 2005 11:46:35 PDT
Date: Fri, 26 Aug 2005 11:46:35 -0700 (PDT)
From: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] steps towards better TeXmacs interface
To: Martin Rubey <martin.rubey@univie.ac.at>,
"Andrey G. Grozin" <A.G.Grozin@inp.nsk.su>
In-Reply-To: <17167.19307.67913.928555@seam101.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 18:52:20 -0000
--- Martin Rubey <martin.rubey@univie.ac.at> wrote:
> Andrey G. Grozin writes:
>
> > ... if this C code is used, it is absolutely impossible (and never
> > will be possible) to copy a (part of) output by the mouse and
> > insert in into an input field (because it is not possible to
> > reconstruct the mathematical meaning of an expression from this
> > obfuscated LaTeX). And this goal is highly desirable.
>
> Although this goal may be highly desirable, it will work only for
> some domains. For others it is doomed to fail, simply because not
> all the information is in the output. In fact, it will probably
> work only for those domains that are ConvertibleTo InputForm...
I am not surprised at this, but I suspect handling it well will be
critically important to the acceptability of Axiom for a wide variety
of applications.
> So the probably better way to do this is to capture the label of the
> output. The object is stored there, you don't need to reconstruct it.
[snip]
Does this imply that for a significant subset of mathematical
expressions, it should not be legal to select a subset of the
expression piecemeal?
I think I know what Andrey is thinking about here. Let's say we have
the following expression:
2
b + 2 a
-------- + c
d
------------
f + e
and we want to select:
2
b + 2 a
--------
d
as our input in the next line. The natural thing to want to do in a
graphical mathematical document environment is graphically select the
desired subexpression and paste that to the input line. I suspect the
objection is that there may be hidden or non-hidden constraints within
Axiom's knowledge of the original expression that make selection of the
subset problematic, and won't be preserved? Perhaps one way to do this
"safely" would be to "flatten" the expression to the basic types you
would get if you just typed in the displayed variables, and warn that
all original mathematical knowledge of the parent object has been lost
in the copying process?
This, however, is a violation of Axiom's philosophy of wanting to "Do
It Right." The more interesting, but far more challenging problem, is
to map the constraints of Axiom's mathematical knowledge into a
graphical interface environment. I rather suspect there will be a
fundamental clash between the "beginner mentality" that is often
associated with the use of such environments and Axiom's philosophy,
but that just makes it more interesting :-). The ideal case would be
to have the ability to make assumptions about one's environment, and as
those assumptions are added or removed the interface behavior changes
according to what is allowed in the new "environment." E.g., there
will be operations that might be legal if certain assumptions are made,
that are not true in general, and if your environment is less or more
general the interface knows that and acts accordingly.
Not sure that's even doable in the case of TeXmacs - IIRC it's rules
for mathematical interaction are those of a document editor, and not
really responsive to mathematical constraints. It would be difficult
even with something like a lisp interface, because interaction
behaviors would have to be defined, and some kind of mapping made
between those mappings and mathematical behavior. What a nifty
research project :-).
Cheers,
CY
____________________________________________________
Start your day with Yahoo! - make it your home page
http://www.yahoo.com/r/hs
From MAILER-DAEMON Fri Aug 26 15:46:23 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8k9f-0003FB-FI
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 15:46:23 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8k9c-0003Cl-P2
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 15:46:20 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8k9Y-00038J-Ug
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 15:46:17 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8k9X-0002yT-Tl
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 15:46:15 -0400
Received: from [24.154.1.21] (helo=mx-2.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8k78-0004y6-HY
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 15:43:46 -0400
Received: from mua-2.zoominternet.net (mua-2.zoominternet.net [24.154.1.45])
by mx-2.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7QJfsmq022781;
Fri, 26 Aug 2005 15:41:55 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-2.zoominternet.net (Postfix) with ESMTP id 3060F7F40F;
Fri, 26 Aug 2005 15:41:53 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7QJdlf14425;
Fri, 26 Aug 2005 15:39:47 -0400
Date: Fri, 26 Aug 2005 15:39:47 -0400
Message-Id: <200508261939.j7QJdlf14425@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: A.G.Grozin@inp.nsk.su
In-reply-to: <Pine.LNX.4.58.0508262331130.27003@star.inp.nsk.su>
(A.G.Grozin@inp.nsk.su)
Subject: Re: [Axiom-developer] steps towards better TeXmacs interface
References: <Pine.LNX.4.58.0508262331130.27003@star.inp.nsk.su>
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0.5 () PORN_RP_BIZARRE
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.21
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 19:46:21 -0000
> 1. What is the correct file to put the definition and initialisation of
> $InterfaceStrings ?
choose a new file.
> 2. Is there some way in which this initialisation could be made dependent
> on external conditions? For example, can I pass a command-line argument to
> AXIOMsys, and check it in boot code? Or check an environment variable in
> the boot code?
> At the moment, I know only one way to pass some information to axiom:
> .axiom.input. But it would not be a good idea for TeXmacs, for example, to
> overwrite the user's .axiom.input (if the user has one).
Generally when you want a certain special output mode in Axiom the technique
is to use
)set output texmacs on
which sets a flag enabling the output.
> Making text exchanges between axiom and an external program to follow some
> structured, predictable protocol (without playing guessing games) is the
> first and the most important goal. But there are further necessary steps.
> The current TeX generation (algebra/tex.spad.pamphlet) was written 15
> years ago. Naturally, it does not produce modern standard LaTeX. I've made
> a number of changes in tex.spad.pamphlet, to produce more
> standards-complying LaTeX code instead of some historic relicts ( \over ,
> \sub , \root ... \of ... , etc.). But this is not exactly what's needed.
It's "old-style" tex but still seems to work. The book uses it everywhere.
Why is it necessary to change it? Given the hundreds of things that need
work this is pretty low on my list but you're welcome to investigate what
might be needed. I believe that the line-break algorithm might be sensitive
to these tex symbols but memory fails me in the details.
> TeXmacs has some strange requirements of its own (e.g., using \* for
> multiplication). Therefore, I want to leave the old TeX generation alone,
> and to introduce the new kind of output: texmacs. So that it will be
> possible to say
> )set output texmacs on
This would be the correct path. Then texmacs can adapt axiom to its needs.
Writing output delimiters could be transparent since they would not
normally be seen by users and can be removed by Texmacs
> OK, I can easily duplicate tex.spad.pamphlet (should this be a new file,
> texmacs.spad.pamphlet, or I just double the contents of tex.spad.pamphlet
> ?) I'll rename the domain TexFormat to TexmacsFormat, and make the
> improvements I want. But what to do next? My (very incomplete...)
> understanding is that I should insert the necessary pieces into
> setvars.boot.pamphlet and setvart.boot.pamphlet (based on the TeX pieces,
> with renamings and some small changes). But setvars.boot.pamphlet says
> that if I change the boot code (and I'm going to do this), I have to
> translate it to lisp and insert it into the same file. How do I do this,
> exactly?
I wish I knew what needed to be done exactly but I haven't modified that
code in 15 years so your guess is nearly as good as mine. All I can suggest
is to experiment and document. Please document as you go so we don't have
to reverse engineer it a second time.
> The new domain TexmacsFormat is the natural place to put the line-breaking
> functionality. Some ideas can be taken from the C code which does such
> line-breaking, and which is available. Of course, it is much more natural
> to do this in the spad domain, where all the information about the
> expression structure is available. Also, this C code generates LaTeX which
> gives a reasonably-looking output, but is mathematically meaningless (it
> uses \array's all over the place for things which are not arrays). This
> leads to the fact that, if this C code is used, it is absolutely
> impossible (and never will be possible) to copy a (part of) output by the
> mouse and insert in into an input field (because it is not possible to
> reconstruct the mathematical meaning of an expression from this obfuscated
> LaTeX). And this goal is highly desirable. Therefore, the aim of
> TexmacsForm will be to generate a meaningful LaTeX, with line breaking,
> which can be used as a source of drag-and-drop in TeXmacs.
I'm not sure what it means to "drag and drop" a 2D expression into a 1D
input line. Who flattens the line? I've never seen a specification of a
mapping from 1D <-> 2D. We do it all the time by hand, of course, but
that's not good enough for a machine. Furthermore each Axiom domain
determines its own OutputForm representation (internal structure -> 2D).
The surface structure (print representation) might not carry all of
the needed information, most of which is hidden in the internal type.
> There is another possibility, which requires some thought. What if we send
> expression tree from axiom to TeXmacs as an S-expression, instead of
> serializing it via LaTeX? TeXmacs understands not only latex: fields, but
> also scheme: fields. Generating scheme syntax from an axiom expression may
> well be easier than generating LaTeX. Line breaking can be done on the
> TeXmacs side, where the necessary information is available (it is in
> principle impossible to tell, what is the width of a sub-expression after
> typesetting, without actually typesetting it). But this is, probably, a
> more long-term project. For now, I'd better keep as much as possible from
> the current interface, but make it more robust and less ugly.
The notion of an S-expression form of an expression comes up a few times
a year. Axiom does not have such a notion. The closest you can come to
it (as far as I'm aware) is to:
===================================================================
FAQ 19: How can I get equations written on one line?
===================================================================
> Dear Axiom supporters,
> 2. I would also like to have the output of kind
>
> " - (s-1) * (s+1) * (p^4 +(2*e^3 + (24*s^2 - 4)*e)*p^3 * ...) * ...
> "
>
> For example, my DoCon program can read this format ...
>
> 2.1 It prints these polynomials like for (Z[e])[p]:
> " (e^2 + 2e)*p "
> How to print it like for Z[p,e]:
> " 2*p*e + e^2 "
You may wish to use the InputForm domain, where you can find some
bizarre functions. In your case, "unparse" may help you, as follows.
(1) -> p:=(a+b+y)^2*y+1-(x+y+z)^4
(1)
4 3 2 2 2
- z + (- 4y - 4x)z + (- 6y - 12x y - 6x )z
+
3 2 2 3 4 3 2 2
(- 4y - 12x y - 12x y - 4x )z - y + (- 4x + 1)y + (- 6x + 2b + 2a)y
+
3 2 2 4
(- 4x + b + 2a b + a )y - x + 1
Type: Polynomial Integer
(2) -> pi:=p::InputForm
(2)
(+
(+
(+ (+ (* - 1 (** z 4)) (* (+ (* - 4 y) (* - 4 x)) (** z 3)))
(* (+ (+ (* - 6 (** y 2)) (* (* - 12 x) y)) (* - 6 (** x 2))) (** z 2)))
(*
(+
(+ (+ (* - 4 (** y 3)) (* (* - 12 x) (** y 2)))
(* (* - 12 (** x 2)) y))
(* - 4 (** x 3)))
z)
)
(+
(+
(+ (+ (* - 1 (** y 4)) (* (+ (* - 4 x) 1) (** y 3)))
(* (+ (* - 6 (** x 2)) (+ (* 2 b) (* 2 a))) (** y 2)))
(* (+ (* - 4 (** x 3)) (+ (+ (** b 2) (* (* 2 a) b)) (** a 2))) y))
(+ (* - 1 (** x 4)) 1))
)
Type: InputForm
(3) -> unparse(pi)
(3)
"(-z**4)+((-4*y)+(-4*x))*z**3+((-6*y*y)+(-12*x*y)+(-6*x*x))*z*z+((-4*y**3)+(-
12*x*y*y)+(-12*x*x*y)+(-4*x**3))*z+(-y**4)+((-4*x)+1)*y**3+((-6*x*x)+2*b+2*a)
*y*y+((-4*x**3)+b*b+2*a*b+a*a)*y+(-x**4)+1"
Type: String
Aternatively you can get the LaTex output string:
(4) -> )lisp (|parseAndInterpret| "integrate(sin(x),x)::TexFormat::OutputForm")
(4) ["$$","-{\cos ","\left(","{x} ","\right)}","$$"]
Type: OutputForm
Value = ((|OutputForm|) WRAPPED BRACKET (AGGLST "\"$$\"" "\"-{\\cos \""
"\"\\left(\"" "\"{x} \"" "\"\\right)}\"" "\"$$\""))
or the text form:
(5) -> )lisp (|parseAndInterpret| "integrate(sin(x),x)::OutputForm")
(5) - cos(x)
Type: OutputForm
Value = ((|OutputForm|) WRAPPED "-" (|cos| |x|))
or the actual string output:
Axiom's algebra gets output to a stream called |$algebraOutputStream|
Thus you can get the output you want by:
)set message autoload off
)lisp (progn
; we need a new output stream that is backed by a string
(setq tmpout (make-string-output-stream))
; we hold on to the regular algebra output stream
(setq save |$algebraOutputStream|)
; we capture the algebra output into the string stream
(setq |$algebraOutputStream| tmpout)
; we generate output from string input
(|parseAndInterpret| "(x+1)^9")
; we save the output into the result variable
(setq result (get-output-stream-string |$algebraOutputStream|))
; we restore the regular algebra output stream
(setq |$algebraOutputStream| save)
; and we return the string as our value
result)
)lisp result
result contains the output from axiom that you want.
===================================================================
FAQ 32: How can I input an equation as a string?
===================================================================
There is an embedded command server within AXIOMsys.
Look at:
http://daly.axiom-developer.org/TimothyDaly_files/lisptalk/pages/lisp35.html
In particular, see the function
parseAndInterpret stringBuf
(which is boot language code. So in lisp I have
to tack on the | | onto the function name and then I can
call it like this:
(1) -> )lisp (|parseAndInterpret| "integrate(sin x,x)")
(1) - cos(x)
Type: Union(Expression Integer,...)
Value = ((|Union| (|Expression| (|Integer|)) (|List| (|Expression|
(|Integer|)))
) WRAPPED 0 (1 #<vector 10ccde54> (1 0 . -1)) 0 . 1)
(2) ->
and sure enough! Axiom parses and interprets the string.
The result appears as stdout and the value returned
seems to contain the type information. The "WRAPPED"
information is the lisp data structure.
> The string output function mentioned in FAQ 19 is a linear
> form of the output. However Axiom's native output machinery
> is called CHARYBDIS which was a research project from the
> 60s with the goal of printing mathematics on typewriters.
> Axiom still uses that code.
From MAILER-DAEMON Fri Aug 26 16:11:34 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8kY1-0003ca-AA
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 16:11:33 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8kXP-0003Qr-MG
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:10:57 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8kXC-0003M8-Fu
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:10:46 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8kXB-0003Kp-PT
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:10:41 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8kQl-0006Bv-AO
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:04:03 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7QK1jEU047426;
Fri, 26 Aug 2005 22:01:49 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17167.29884.46784.293738@seam101.local>
Date: Fri, 26 Aug 2005 21:59:56 +0200
To: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] steps towards better TeXmacs interface
In-Reply-To: <20050826184635.51312.qmail@web31712.mail.mud.yahoo.com>
References: <17167.19307.67913.928555@seam101.local>
<20050826184635.51312.qmail@web31712.mail.mud.yahoo.com>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4249; Body=4 Fuz1=4 Fuz2=4
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 20:11:01 -0000
C Y writes:
> I think I know what Andrey is thinking about here. Let's say we have
> the following expression:
>
> 2
> b + 2 a
> -------- + c
> d
> ------------
> f + e
>
> and we want to select:
>
> 2
> b + 2 a
> --------
> d
>
> as our input in the next line.
I'd say that this is not the way things work in Axiom. There is a hack on
MathAction that does this kind of thing.
But please keep the following in mind:
Axiom is designed in a way that you can, for example, replace the domain EXPR ?
with something entirely different, keeping only the interface the same. Of
course, coercing to SExpression is part of the interface, but I would suggest
that you don't work against Axioms philosophy.
Note also that "hidden" type information is crucial:
(13) -> 3*(y*x::XPOLY INT)
(13) y x 3
Type: XPolynomial Integer
(14) -> 3*y*x
(14) 3x y
Type: Polynomial Integer
(XPOLY: variables do not commute)
Martin
From MAILER-DAEMON Fri Aug 26 16:43:13 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8kzq-0002W9-FE
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 16:40:18 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8kza-0002QZ-Pd
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:40:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8kzP-0002K5-B2
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:39:53 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8kzO-0002IW-25
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:39:50 -0400
Received: from [209.226.175.184] (helo=tomts22-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8kqh-0007PU-46
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:30:51 -0400
Received: from asus ([207.236.11.156]) by tomts22-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP
id <20050826202909.MXOC21470.tomts22-srv.bellnexxia.net@asus>;
Fri, 26 Aug 2005 16:29:09 -0400
From: "Bill Page" <bill.page1@sympatico.ca>
To: "'Martin Rubey'" <martin.rubey@univie.ac.at>
Subject: RE: [Axiom-developer] steps towards better TeXmacs interface
Date: Fri, 26 Aug 2005 16:28:40 -0400
Message-ID: <006a01c5aa7c$c57653a0$6400a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook, Build 10.0.2627
In-Reply-To: <17167.29884.46784.293738@seam101.local>
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180
Importance: Normal
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 20:40:06 -0000
On August 26, 2005 4:00 PM Martin Rubey wrote:
>
> C Y writes:
> > I think I know what Andrey is thinking about here. Let's
> > say we have the following expression:
> >
> > 2
> > b + 2 a
> > -------- + c
> > d
> > ------------
> > f + e
> >
> > and we want to select:
> >
> > 2
> > b + 2 a
> > --------
> > d
> >
> > as our input in the next line.
>
I think that is a very good and entirely plausible example.
> I'd say that this is not the way things work in Axiom. There
> is a hack on MathAction that does this kind of thing.
>
Martin, could you be more specific? What "hack on MathAction"
are you referring to?
Although I think I see your point about "not the way things
work in Axiom", I also think you are being too strict when
it comes to user interface. Axiom is designed as a deeply
nested series of levels. A the user interface level a lot of
"less strict" things are done in the name of being more
"user friendly". This is a difficult problem and I think
achieving a truly effective user interface is still more a
matter of art (and luck) than it is a matter of good design
or engineering.
> But please keep the following in mind:
>
> Axiom is designed in a way that you can, for example, replace
> the domain EXPR ? with something entirely different, keeping
> only the interface the same. Of course, coercing to Sexpression
> is part of the interface, but I would suggest that you don't
> work against Axioms philosophy.
>
> Note also that "hidden" type information is crucial:
>
> (13) -> 3*(y*x::XPOLY INT)
>
> (13) y x 3
> Type:
> XPolynomial Integer
> (14) -> 3*y*x
>
> (14) 3x y
> Type:
> Polynomial Integer
>
> (XPOLY: variables do not commute)
>
We should not forget that Numerical Algorithms Group put a lot
of work into Axiom to produce OpenMath output. One of the goals
of OpenMath is to encode precisely this kind of information with
an aim to being able to communicate mathematics in full generality
between different computer algebra systems. And of course this
could also include between a compute algebra system and an
intelligent editor/user interface. All of the NAG OpenMath code
is availabe but has not (yet) been integrated into the open source
version of Axiom.
Regards,
Bill Page.
From MAILER-DAEMON Fri Aug 26 17:14:27 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8lWt-0004E1-28
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 17:14:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8lWj-00046b-I0
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:19 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8lWd-000423-L9
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:12 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8lWd-0003sj-6Z
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:11 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8lMo-0000k2-Mn
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:04:02 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7QL2Fwl003333;
Fri, 26 Aug 2005 16:02:15 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050826160213-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 26 Aug 2005 16:02:15 -0500
Cc:
Subject: [Axiom-developer] [reading structures from a file] (nouveau)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 21:14:24 -0000
Changes http://page.axiom-developer.org/zope/mathaction/ReadingStructuresFromAFile/diff
--
This package provides operations that all take a filename and return an axiom structure which is supposed to be in some standard notation in this file. Geared towards polymake.
\begin{axiom}
)abbrev package READFILE ReadFile
ReadFile(): Exports == Implementation where
Exports == with
getBoolean: FileName -> Boolean
getInteger: FileName -> Integer
getListInteger: FileName -> List Integer
getListFraction: FileName -> List Fraction Integer
getVectorInteger: FileName -> Vector Integer
getVectorFraction: FileName -> Vector Fraction Integer
getSetInteger: FileName -> Set Integer
getMatrixInteger: FileName -> Matrix Integer
getMatrixFraction: FileName -> Matrix Fraction Integer
getListSetInteger: FileName -> List Set Integer
Implementation == add
getBoolean polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
(r="1")
getInteger polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
coerce(r)$StringConversions
getListInteger polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
coerce(r)$StringConversions
getListFraction polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
coerce(r)$StringConversions
getVectorInteger polytmpfile ==
vector(getListInteger polytmpfile)$Vector(Integer)
getVectorFraction polytmpfile ==
vector(getListFraction polytmpfile)$Vector(Fraction Integer)
getSetInteger polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
coerce(r)$StringConversions
getMatrixInteger polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
m: List List Integer := []
r: String
while not endOfFile?(f) repeat
r := read!(f)$TextFile
if not empty? r then
m := cons(coerce(r)$StringConversions, m)
close!(f)$TextFile
matrix(reverse m)$Matrix(Integer)
getMatrixFraction polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
m: List List Fraction Integer := []
r: String
while not endOfFile?(f) repeat
r := read!(f)$TextFile
if not empty? r then
m := cons(coerce(r)$StringConversions, m)
close!(f)$TextFile
matrix(reverse m)$Matrix(Fraction Integer)
getListSetInteger polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
m: List Set Integer := []
r: String
while not endOfFile?(f) repeat
r := read!(f)$TextFile
if not empty? r then
m := cons(coerce(r)$StringConversions, m)
close!(f)$TextFile
reverse m
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/ReadingStructuresFromAFile#msg20050826160213-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 26 17:14:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8lWs-0004Dv-Ro
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 17:14:26 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8lWj-00047P-PN
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:19 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8lWf-000449-PO
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:14 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8lWf-0003sj-Hu
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:13 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8lK6-0000dj-RU
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:01:15 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7QKxQwl002419;
Fri, 26 Aug 2005 15:59:26 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050826155922-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 26 Aug 2005 15:59:26 -0500
Cc:
Subject: [Axiom-developer] [string conversions] (nouveau)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 21:14:22 -0000
Changes http://page.axiom-developer.org/zope/mathaction/StringConversions/diff
--
Here is a package that converts strings to numbers. It is only to be considered as a starting point. There is no error checking, it is probably slow and certainly buggy...
\begin{axiom}
)abbrev package STRCNV StringConversions
StringConversions(): Exports == Implementation where
Exports == with
coerce: String -> Integer
coerce: String -> Fraction Integer
coerce: String -> List Fraction Integer
coerce: String -> List Integer
coerce: String -> Set Integer
Implementation == add
sexfloat:SExpression:=convert(coerce("Float")@Symbol)$SExpression
coerce(s: String): Fraction Integer ==
if not NUMBERP(READ_-FROM_-STRING(s)$Lisp)$Lisp
then error "coerce: String -> Fraction Integer: not a number"
else
sex := interpret(packageTran(ncParseFromString(s)$Lisp)$Lisp)$Lisp
if (car car sex = sexfloat) then
retract((cdr cdr sex) pretend Float)@Fraction(Integer)
else
if integer?(cdr sex) then
((cdr sex) pretend Integer)::Fraction Integer
else
(cdr cdr sex) pretend Fraction Integer
coerce(s: String): Integer ==
PARSE_-INTEGER(s)$Lisp
coerce(r: String): List Fraction Integer ==
map(coerce #1, split(r, char(" "))$String)_
$FiniteLinearAggregateFunctions2(String, List String, Fraction Integer, _
List Fraction Integer)
coerce(r: String): List Integer ==
map(coerce(#1), split(r, char(" "))$String)_
$FiniteLinearAggregateFunctions2(String, List String, Integer, _
List Integer)
coerce(r: String): Set Integer ==
s: String := delete(delete(r, #r), 1)
brace(map(PARSE_-INTEGER(#1)$Lisp, split(s, char(" "))$String)_
$FiniteLinearAggregateFunctions2(String, List String, Integer, _
List Integer))$Set(Integer)
\end{axiom}
Let's try it:
\begin{axiom}
coerce("123.12")@FRAC INT
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/StringConversions#msg20050826155922-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 26 17:14:29 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8lWt-0004ED-DE
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 17:14:27 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8lWj-00046t-Oz
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:19 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8lWb-00040f-68
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8lWZ-0003sj-Sd
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:08 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8lOC-0000mg-GJ
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:05:28 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7QL3ewl003519;
Fri, 26 Aug 2005 16:03:40 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050826160340-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 26 Aug 2005 16:03:40 -0500
Cc:
Subject: [Axiom-developer] [reading structures from a file]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 21:14:25 -0000
Changes http://page.axiom-developer.org/zope/mathaction/ReadingStructuresFromAFile/diff
--
??changed:
-This package provides operations that all take a filename and return an axiom structure which is supposed to be in some standard notation in this file. Geared towards polymake.
This package provides operations that all take a filename and return an axiom structure which is supposed to be in some standard notation in this file. Geared towards polymake. Needs 'StringConversions'
\begin{axiom}
)lib STRCNV
\end{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/ReadingStructuresFromAFile#msg20050826160340-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 26 17:14:29 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8lWs-0004Df-Iq
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 17:14:26 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8lWi-00046r-FG
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:16 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8lWe-00042j-Bq
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8lWd-0003sj-KS
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:11 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8lKj-0000fO-41
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:01:53 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7QL00wl002505;
Fri, 26 Aug 2005 16:00:00 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050826160000-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 26 Aug 2005 16:00:00 -0500
Cc:
Subject: [Axiom-developer] [AxiomContributions]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 21:14:18 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
++added:
[reading structures from a file]
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomContributions#msg20050826160000-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 26 17:14:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8lXN-0004Jz-QK
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 17:14:58 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8lWu-0004F3-IV
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8lWj-000472-4Q
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8lWi-0003sj-97
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:14:16 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8lHG-0000aQ-ND
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 16:58:18 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7QKuRwl001669;
Fri, 26 Aug 2005 15:56:27 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050826155626-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 26 Aug 2005 15:56:26 -0500
Cc:
Subject: [Axiom-developer] [AxiomContributions]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 21:14:56 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomContributions/diff
--
++added:
[string conversions]
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomContributions#msg20050826155626-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 26 17:17:20 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8lZf-00056X-TF
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 17:17:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8lZb-00053f-Vd
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:17:16 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8lZY-00051M-93
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:17:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43)
id 1E8lZX-0004pf-1N; Fri, 26 Aug 2005 17:17:11 -0400
Received: from [24.154.1.21] (helo=mx-2.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34)
id 1E8lUl-0001Dr-Ue; Fri, 26 Aug 2005 17:12:16 -0400
Received: from mua-2.zoominternet.net (mua-2.zoominternet.net [24.154.1.45])
by mx-2.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7QLALBu022429;
Fri, 26 Aug 2005 17:10:21 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-2.zoominternet.net (Postfix) with ESMTP id EFF447F407;
Fri, 26 Aug 2005 17:10:18 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7QL8Cr14497;
Fri, 26 Aug 2005 17:08:12 -0400
Date: Fri, 26 Aug 2005 17:08:12 -0400
Message-Id: <200508262108.j7QL8Cr14497@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: camm@enhanced.com
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.21
Cc: axiom-developer@nongnu.org, gcl-devel@gnu.org
Subject: [Axiom-developer] gcl-2.6.7 and FC4
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 21:17:16 -0000
GCL-2.6.7 fails to build on FC4.
I'm trying to debug it now but I thought I'd mention it in case
anyone already knows why.
Tim
From MAILER-DAEMON Fri Aug 26 18:13:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8mS7-0004uS-43
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 18:13:35 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8mRz-0004qY-As
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 18:13:28 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8mRo-0004ku-SQ
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 18:13:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43)
id 1E8mRm-0004hY-T4; Fri, 26 Aug 2005 18:13:14 -0400
Received: from [66.134.96.17] (helo=intech19.enhanced.com)
by monty-python.gnu.org with esmtp (Exim 4.34)
id 1E8mJW-0003ne-24; Fri, 26 Aug 2005 18:04:42 -0400
Received: from camm by intech19.enhanced.com with local (Exim 3.35 #1 (Debian))
id 1E8mHv-0004oR-00; Fri, 26 Aug 2005 18:03:03 -0400
To: daly@axiom-developer.org
References: <200508262108.j7QL8Cr14497@localhost.localdomain>
From: Camm Maguire <camm@enhanced.com>
Date: 26 Aug 2005 18:03:03 -0400
In-Reply-To: <200508262108.j7QL8Cr14497@localhost.localdomain>
Message-ID: <5464tsfjag.fsf@intech19.enhanced.com>
Lines: 25
User-Agent: Gnus/5.09 (Gnus v5.9.0) Emacs/21.2
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Cc: axiom-developer@nongnu.org, gcl-devel@gnu.org
Subject: [Axiom-developer] Re: gcl-2.6.7 and FC4
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 22:13:30 -0000
Greetings!
This is the first I've heard -- please keep me posted of your
findings.
It appears that every single FC release is going to break lisp as new
'enhancement/feature'.
Take care,
root <daly@axiom-developer.org> writes:
> GCL-2.6.7 fails to build on FC4.
> I'm trying to debug it now but I thought I'd mention it in case
> anyone already knows why.
>
> Tim
>
>
>
--
Camm Maguire camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens." -- Baha'u'llah
From MAILER-DAEMON Fri Aug 26 18:14:10 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8mSM-0004yX-32
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 18:13:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8mS0-0004rh-Om
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 18:13:29 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8mRv-0004pQ-DS
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 18:13:24 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8mRt-0004hY-JA
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 18:13:22 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E8mCv-0003ap-0C
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 17:57:53 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7QLu1wl016875;
Fri, 26 Aug 2005 16:56:01 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050826165601-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Fri, 26 Aug 2005 16:56:01 -0500
Cc:
Subject: [Axiom-developer] [polymake]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Fri, 26 Aug 2005 22:13:33 -0000
Changes http://page.axiom-developer.org/zope/mathaction/Polymake/diff
--
++added:
\begin{axiom}
)lib STRCNV READFILE
\end{axiom}
++added:
Cardinal ==> NonNegativeInteger
Scalar ==> Fraction Integer
--removed:
- facets: % -> Matrix Integer
-
- vertices: % -> Matrix Integer
-
++added:
points: % -> Matrix Scalar
++ Points such that the polyhedron is their convex hull. Redundancies are
++ allowed. Vector (x0 x1 .. xd) represents a point in (d+1)-space
++ (homogeneous coordinates.) Affine points are identified by x0 >
++ 0. Points with x0 = 0 can be interpreted as rays. polymake
++ automatically normalizes each coordinate vector, dividing them by the
++ first non-zero element. The clients and rule subroutines can always
++ assume that x0 is either 0 or 1. Dual to INEQUALITIES. Input section
++ only. Ask for VERTICES if you want to compute a V-representation from
++ an H-representation.
vertices: % -> Matrix Scalar
++ Vertices of the polyhedron. No redundancies are allowed. The
++ coordinates are normalized the same way as POINTS. Dual to FACETS.
inequalities: % -> Matrix Scalar
++ Inequalities that describe half-spaces such that the polyhedron is
++ their intersection. Redundancies are allowed. Dual to POINTS. A
++ vector (A0 A1 .. Ad) defines the (closed affine) half-space of points
++ (1,x1,..,xd) such that A0 + A1 x1 + .. + Ad xd >= 0. Input section
++ only. Ask for FACETS and AFFINE_HULL if you want to compute an
++ H-representation from a V-representation.
facets: % -> Matrix Scalar
++ Facets of the polyhedron, encoded as INEQUALITIES. Dual to VERTICES.
equations: % -> Matrix Scalar
++ Equations that hold for all points of the polyhedron. A vector (A0 A1
++ .. Ad) describes the hyperplane of all points (1,x1,..,xd) such that
++ A0 + A1 x1 + .. + Ad xd = 0. Input section only. Ask for AFFINE_HULL
++ if you want to see an irredundant description of the affine span.
affineHull: % -> Matrix Scalar
++ Dual basis of the affine hull of the polyhedron.
vertexNormals: % -> Matrix Scalar
++ The i-th row is the normal vector of a hyperplane separating the i-th
++ vertex from the rest ones. This property is a by-product of redundant
++ point elimination algorithm.
validPoint: % -> Vector Scalar
++ Some point belonging to the polyhedron.
dim: % -> Cardinal
++ Dimension of the affine hull of the polyhedron = dimension of the
++ polyhedron. If the polytope is given purely combinatorically, it's the
++ dimension of a minimal embedding space deduced from the combinatorial
++ structure.
ambientDim: % -> Cardinal
++ Dimension of the space where the polyhedron lives in.
feasible: % -> Boolean
++ True if the polyhedron is not empty.
pointed: % -> Boolean
++ True if the polyhedron does not contain an affine line.
farFace: % -> Set Cardinal
++ Indices of vertices that are rays.
unboundedFacets: % -> Set Cardinal
++ Indices of facets that are unbounded.
bounded: % -> Boolean
++ True if the polyhedron is a bounded polytope.
-- boundedGraph: % -> Graph
-- ++ Graph of the bounded subcomplex.
centered: % -> Boolean
++ True if (1,0,0,..) is a relative interior point. Polar to BOUNDED.
positive: % -> Boolean
++ True if all vertices of the polyhedron have non-negative coordinates,
++ that is, it lies entirely in the positive orthant.
++added:
polydir: String := "/tmp/"
polytmp: String := polydir "tmp.poly"
polylib: String := "/usr/local/polymake/bin/"
polytmpfile:FileName := polytmp::FileName
??changed:
- String2ListInteger: String -> List Integer
-
- String2ListInteger r ==
- map(PARSE_-INTEGER(#1)$Lisp, split(r, char(" "))$String)_
- $FiniteLinearAggregateFunctions2(String, List String, Integer, _
- List Integer)
-
- getBoolean: () -> Boolean
-
- getBoolean ==
- f := open(("/tmp/tmp.poly")::FileName)$TextFile
- read!(f)$TextFile
- r:String := read!(f)$TextFile
- close!(f)$TextFile
-
- (r="1")
-
- getIntegerList: () -> List Integer
-
-[25 more lines...]
polycons: (String, String, String) -> %
polycons(rep, cmd, prm) ==
systemCommand("system " polylib cmd " " polydir rep ".poly " prm)_
$MoreSystemCommands
rep::Rep
polyprop: (%, String) -> Void
polyprop(rep, cmd) ==
systemCommand("system " polylib "polymake " polydir (rep::Rep) ".poly "_
cmd " > " polytmp)$MoreSystemCommands
??changed:
- s: String := "cube" string(n)
- systemCommand("system /usr/local/polymake/bin/cube " s ".poly " string(n))$MoreSystemCommands
- s::Rep
polycons("cube" string(n), "cube", string(n))
??changed:
- s: String := "cross" string(n)
- systemCommand("system /usr/local/polymake/bin/cross " s ".poly " string(n))$MoreSystemCommands
- s::Rep
-
- rand01(d, n) ==
- s: String := "rand01" string(d) string(n)
- systemCommand("system /usr/local/polymake/bin/rand01 " s ".poly " string(d) " " string(n))$MoreSystemCommands
- s::Rep
-
- randSphere(d, n) ==
- s: String := "randsphere" string(d) string(n)
- systemCommand("system /usr/local/polymake/bin/rand__sphere " s ".poly " string(d) " " string(n))$MoreSystemCommands
- s::Rep
polycons("cross" string(n), "cross", string(n))
rand01(d, n) ==
polycons("rand01" string(d) string(n), "rand01", _
string(d) " " string(n))
randSphere(d, n) ==
polycons("randsphere" string(d) string(n), "rand__sphere", _
string(d) " " string(n))
??changed:
- systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly F__VECTOR > /tmp/tmp.poly")_
- $MoreSystemCommands
-
- getIntegerVector()
polyprop(s, "F__VECTOR")
getVectorInteger(polytmpfile)$ReadFile
??changed:
- systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly F2__VECTOR > /tmp/tmp.poly")_
- $MoreSystemCommands
-
- getIntegerMatrix()
polyprop(s, "F2__VECTOR")
getMatrixInteger(polytmpfile)$ReadFile
??changed:
- systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly H__VECTOR > /tmp/tmp.poly")_
- $MoreSystemCommands
-
- getIntegerVector()
-
- facets s ==
- systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly FACETS > /tmp/tmp.poly")_
- $MoreSystemCommands
-
- getIntegerMatrix()
polyprop(s, "H__VECTOR")
getVectorInteger(polytmpfile)$ReadFile
simple s ==
polyprop(s, "SIMPLE")
getBoolean(polytmpfile)$ReadFile
points s ==
polyprop(s, "POINTS")
getMatrixFraction(polytmpfile)$ReadFile
??changed:
- systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly VERTICES > /tmp/tmp.poly")_
- $MoreSystemCommands
-
- getIntegerMatrix()
-
- simple s ==
- systemCommand("system /usr/local/polymake/bin/polymake " (s::Rep) ".poly SIMPLE > /tmp/tmp.poly")_
- $MoreSystemCommands
-
- getBoolean()
-
-)abbrev domain TOPAZ SimplicialComplex
-SimplicialComplex(): Exports == Implementation where
- Exports == with
-
- coerce: % -> OutputForm
-
--------------------------------------------------------------------------------
--- topaz constructions --
-[59 more lines...]
polyprop(s, "VERTICES")
getMatrixFraction(polytmpfile)$ReadFile
inequalities s ==
polyprop(s, "INEQUALITIES")
getMatrixFraction(polytmpfile)$ReadFile
facets s ==
polyprop(s, "FACETS")
getMatrixFraction(polytmpfile)$ReadFile
equations s ==
polyprop(s, "EQUATIONS")
getMatrixFraction(polytmpfile)$ReadFile
affineHull s ==
polyprop(s, "AFFINE__HULL")
getMatrixFraction(polytmpfile)$ReadFile
vertexNormals s ==
polyprop(s, "VERTEX__NORMALS")
getMatrixFraction(polytmpfile)$ReadFile
validPoint s ==
polyprop(s, "VALID__POINT")
getVectorFraction(polytmpfile)$ReadFile
dim s ==
polyprop(s, "DIM")
getInteger(polytmpfile)$ReadFile :: Cardinal
ambientDim s ==
polyprop(s, "AMBIENT__DIM")
getInteger(polytmpfile)$ReadFile :: Cardinal
feasible s ==
polyprop(s, "FEASIBLE")
getBoolean(polytmpfile)$ReadFile
pointed s ==
polyprop(s, "POINTED")
getBoolean(polytmpfile)$ReadFile
farFace s ==
polyprop(s, "FAR__FACE")
map(#1 pretend Cardinal, getSetInteger(polytmpfile)$ReadFile)_
$FiniteSetAggregateFunctions2(Integer, Set Integer,
Cardinal, Set Cardinal)
unboundedFacets s ==
polyprop(s, "UNBOUNDED__FACETS")
map(#1 pretend Cardinal, getSetInteger(polytmpfile)$ReadFile)_
$FiniteSetAggregateFunctions2(Integer, Set Integer,
Cardinal, Set Cardinal)
bounded s ==
polyprop(s, "BOUNDED")
getBoolean(polytmpfile)$ReadFile
centered s ==
polyprop(s, "CENTERED")
getBoolean(polytmpfile)$ReadFile
positive s ==
polyprop(s, "POSITIVE")
getBoolean(polytmpfile)$ReadFile
--removed:
-
??changed:
-c4:=cube 4
-hVector c4
c := cube 4
systemCommand("system cat /tmp/cube4.poly")$MoreSystemCommands
++added:
--
forwarded from http://page.axiom-developer.org/zope/mathaction/Polymake#msg20050826165601-0500@page.axiom-developer.org
From MAILER-DAEMON Fri Aug 26 23:43:09 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8rb3-0000Mh-2n
for mharc-axiom-developer@gnu.org; Fri, 26 Aug 2005 23:43:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8raf-0000Gk-FU
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 23:42:45 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8rab-0000Ep-JO
for axiom-developer@nongnu.org; Fri, 26 Aug 2005 23:42:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43)
id 1E8raV-0000BU-6W; Fri, 26 Aug 2005 23:42:35 -0400
Received: from [66.134.96.17] (helo=intech19.enhanced.com)
by monty-python.gnu.org with esmtp (Exim 4.34)
id 1E8rWk-0001tD-UV; Fri, 26 Aug 2005 23:38:43 -0400
Received: from camm by intech19.enhanced.com with local (Exim 3.35 #1 (Debian))
id 1E8rV0-0000GV-00; Fri, 26 Aug 2005 23:36:54 -0400
To: Juho Snellman <jsnell@iki.fi>
References: <200508262108.j7QL8Cr14497@localhost.localdomain>
<slrndgv35k.ush.jsnell@dogbert.localdomain>
From: Camm Maguire <camm@enhanced.com>
Date: 26 Aug 2005 23:36:54 -0400
In-Reply-To: <slrndgv35k.ush.jsnell@dogbert.localdomain>
Message-ID: <54zmr4nj8p.fsf@intech19.enhanced.com>
Lines: 74
User-Agent: Gnus/5.09 (Gnus v5.9.0) Emacs/21.2
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Cc: axiom-developer@nongnu.org, gcl-devel@gnu.org
Subject: [Axiom-developer] Re: [Gcl-devel] Re: gcl-2.6.7 and FC4
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 03:42:46 -0000
Greetings!
Here is what we've been doing since early FC:
int
main(int argc, char **argv, char **envp) {
#ifdef NEED_NONRANDOM_SBRK
#if SIZEOF_LONG == 4
if (!syscall(SYS_personality,PER_LINUX32))
#else
if (!syscall(SYS_personality,PER_LINUX))
#endif
execvp(argv[0],argv);
#endif
so either:
1) configure is not detecting the situation and defining
NEED_NONRANDOM_SBRK
2) the syscall syntax is changed
3) the problem lies somewhere else
it would appear.
Take care,
Juho Snellman <jsnell@iki.fi> writes:
> <daly@axiom-developer.org> wrote:
> > GCL-2.6.7 fails to build on FC4.
> > I'm trying to debug it now but I thought I'd mention it in case
> > anyone already knows why.
>
> FC4 randomizes the brk (and a bunch of other memory regions) more
> agressively than the exec-shield patches in previous Fedora kernels.
> Also the old methods of marking the executable as non-randomizable
> don't work any more. To test whether this is the reason, try building
> under setarch ("setarch i386 -R make").
>
> The only working method of disabling the randomization seems to be
> doing something like this at startup:
>
> {
> long pers = personality(-1);
> /* 0x40000 aka. ADDR_NO_RANDOMIZE */
> if (!(pers & 0x40000)) {
> personality(pers | 0x40000);
> execve(argv[0], argv, envp);
> }
> }
>
> See the sbcl-devel thread "Memory randomization problems coming" for
> some more information on this.
>
> --
> Juho Snellman
>
>
>
> _______________________________________________
> Gcl-devel mailing list
> Gcl-devel@gnu.org
> http://lists.gnu.org/mailman/listinfo/gcl-devel
>
>
>
--
Camm Maguire camm@enhanced.com
==========================================================================
"The earth is but one country, and mankind its citizens." -- Baha'u'llah
From MAILER-DAEMON Sat Aug 27 00:15:52 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8s6h-0000LB-P4
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 00:15:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8s6c-0000Kk-F9
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 00:15:46 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8s6a-0000KB-FD
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 00:15:45 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8s6a-0000Jx-0j
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 00:15:44 -0400
Received: from [209.226.175.4] (helo=tomts16-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8s3S-0003jC-TF
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 00:12:31 -0400
Received: from asus ([207.236.11.156]) by tomts16-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP
id <20050827041046.BFKJ21026.tomts16-srv.bellnexxia.net@asus>
for <axiom-developer@nongnu.org>; Sat, 27 Aug 2005 00:10:46 -0400
From: "Bill Page" <bill.page1@sympatico.ca>
To: <axiom-developer@nongnu.org>
Date: Sat, 27 Aug 2005 00:10:20 -0400
Message-ID: <007101c5aabd$4232bf10$6400a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook, Build 10.0.2627
In-Reply-To: <200508261939.j7QJdlf14425@localhost.localdomain>
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180
Importance: Normal
Subject: [Axiom-developer] JavaView - Interactive 3D Geometry and
Visualization
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 04:15:47 -0000
http://www.javaview.de
JavaView is a 3D geometry viewer and a mathematical visualization
software. The web-integration allows display of 3D geometries and
interactive geometry experiments in any HTML document on the internet.
JavaView also runs as application on local computers from a Unix or Dos
command prompt. The open API of JavaView enables a smooth integration
as 3D viewer and advanced visualization toolkit into commercial software
like Mathematica and Maple.
JavaView-Lite: this tiny version of JavaView is optimized for fast
download and contains the viewer module only, without any dialogs,
inspectors and geometry algorithms. The lite version is mainly used to
display precomputed geometry models inside web pages such as the solid
shown to the right.
----------
JavaView looks very interesting both for integration with Axiom
and (possibly) for interactive graphics via MathAction and (maybe)
also in the new AxiomUI project.
At the above web site I was not able to find any information
about licensing. During download it says "registration" is
required but it does not seem to place any other restrictions
on the use or duplication of the code.
Does anyone know whether it might be possible to consider
this program "open source"?
Regards,
Bill Page.
From MAILER-DAEMON Sat Aug 27 03:47:04 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8vP4-0000W6-8F
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 03:47:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8vOx-0000Vh-PW
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:46:56 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8vOc-0000SG-4W
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:46:35 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8vO1-0000Ef-QP
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:45:59 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8vLc-0003yW-9Z
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:43:28 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7R7fNEU031218;
Sat, 27 Aug 2005 09:41:26 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17168.6325.648978.443380@seam101.local>
Date: Sat, 27 Aug 2005 09:39:33 +0200
To: "Bill Page" <bill.page1@sympatico.ca>
In-Reply-To: <007001c5aab3$6e2c92d0$6400a8c0@asus>
References: <17167.36703.602563.497149@seam101.local>
<007001c5aab3$6e2c92d0$6400a8c0@asus>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4249; Body=4 Fuz1=4 Fuz2=4
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Mathaction and polymake problem
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 07:46:58 -0000
Sending this also to axiom-developer...
Thank you Bill for your fast actions! That's really great! I tried around a
little, but I didn't have the idea to write the error message into a
file... stupid me.
While we are at it: I'd suggest that you disable the possibility to comment on
FrontPage, if this is easily done. (If it's more than five minutes of work,
don't do it)
Sometime in the future there should also be a redesign of the structure of
MathAction, but I'd like to think a little about it. IssueTracker has become
the most important tool for me. Maybe the contents of the pages WishList and
SummerOfCode should be transferred to individual IssueTracker pages. On the
other hand, I'd like to be able to group the issues somehow by topic: it is
quite handy to have a page with integration problems where they are all grouped
together. Maybe the solution is to keep the pages as they are -- i.e., with a
short description - but to point to the appropriate IssueTracker pages for
elaborations.
The second thing that really occupies me: I think it's high time to make some
advertisements for axiom again. It has changed quite a bit from the last
announcement. Tim: if we make an announcement in (mid-)September, which patch
number will be the regular Axiom version? (CVS, I believe)
patch-44 or patch-45 ?
Would the aldor stuff make it?
if I send you a (documented) patch for the integration issue #199, would it
make it into the release?
I think we somehow need to manage to find a group that chooses axiom as it's
development platform. Otherwise axiom will stay what it is, and that's just not
good enough. I think your efforts with the Conference and the various efforts
by Bill are really great Contributions to this end. I'd like to say thank you
again!
I talked a little with Ralf about the petition to free Aldor. I'll set up a
page on MathAction to design an appropriate letter this weekend, I hope.
Martin
From MAILER-DAEMON Sat Aug 27 03:53:15 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E8vV1-0001Ak-Cf
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 03:53:12 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E8vUt-00018a-U9
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:53:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E8vUr-00017d-3y
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:53:01 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E8vOz-0000Ef-U7
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:46:58 -0400
Received: from [193.124.167.24] (helo=inpbox.inp.nsk.su)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E8v3v-0003Ix-H8
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 03:25:12 -0400
Received: from star.inp.nsk.su (star.inp.nsk.su [193.124.167.6])
by inpbox.inp.nsk.su (8.12.1/8.12.1) with ESMTP id j7R7NMX8014867;
Sat, 27 Aug 2005 14:23:22 +0700
Received: from star.inp.nsk.su (star.inp.nsk.su [127.0.0.1])
by star.inp.nsk.su (8.13.1/8.13.1) with ESMTP id j7R7NQAo032561;
Sat, 27 Aug 2005 14:23:26 +0700
Received: from localhost (grozin@localhost)
by star.inp.nsk.su (8.13.1/8.13.1/Submit) with ESMTP id j7R7NL6B032558;
Sat, 27 Aug 2005 14:23:22 +0700
Date: Sat, 27 Aug 2005 14:23:21 +0700 (NOVST)
From: "Andrey G. Grozin" <A.G.Grozin@inp.nsk.su>
To: C Y <smustudent1@yahoo.com>
Subject: Re: [Axiom-developer] steps towards better TeXmacs interface
In-Reply-To: <20050826184635.51312.qmail@web31712.mail.mud.yahoo.com>
Message-ID: <Pine.LNX.4.58.0508271421420.32476@star.inp.nsk.su>
References: <20050826184635.51312.qmail@web31712.mail.mud.yahoo.com>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
X-Virus-Scanned: ClamAV 0.85.1/1042/Fri Aug 26 15:00:27 2005 on star.inp.nsk.su
X-Virus-Status: Clean
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 07:53:06 -0000
On Fri, 26 Aug 2005, C Y wrote:
> I think I know what Andrey is thinking about here. Let's say we have
> the following expression:
>
> 2
> b + 2 a
> -------- + c
> d
> ------------
> f + e
>
> and we want to select:
>
> 2
> b + 2 a
> --------
> d
>
> as our input in the next line. The natural thing to want to do in a
> graphical mathematical document environment is graphically select the
> desired subexpression and paste that to the input line.
Yes. This is currently possible in TeXmacs/maxima (well, in most cases...)
Andrey
From MAILER-DAEMON Sat Aug 27 15:42:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E96ZG-0000N5-Ef
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 15:42:19 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E96ZA-0000Hj-2C
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 15:42:12 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E96Yt-0000AJ-N0
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 15:42:10 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E96Yq-0008VJ-Ap
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 15:41:53 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E96LF-0007qT-JA
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 15:27:49 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7RJPlwl022245;
Sat, 27 Aug 2005 14:25:47 -0500
From: mathaction@axiom-developer.org (kratt6)
To: mathaction@axiom-developer.org
Message-ID: <20050827142546-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 27 Aug 2005 14:25:46 -0500
Cc:
Subject: [Axiom-developer] [reading structures from a file]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 19:42:14 -0000
Changes http://page.axiom-developer.org/zope/mathaction/ReadingStructuresFromAFile/diff
--
++added:
getFraction: FileName -> Fraction Integer
++added:
getFraction polytmpfile ==
f := open(polytmpfile)$TextFile
read!(f)$TextFile
r:String := read!(f)$TextFile
close!(f)$TextFile
coerce(r)$StringConversions
--
forwarded from http://page.axiom-developer.org/zope/mathaction/ReadingStructuresFromAFile#msg20050827142546-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 27 16:44:15 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E97X3-0000uJ-SV
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 16:44:07 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E97Wm-0000kE-GS
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:43:48 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E97Wh-0000ft-61
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:43:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E97Wg-0000dr-2y
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:43:42 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E97O2-0002hW-3D
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:34:46 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7RKWjwl008075;
Sat, 27 Aug 2005 15:32:45 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050827153244-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 27 Aug 2005 15:32:45 -0500
Cc:
Subject: [Axiom-developer] [build Axiom] cvs problem
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 20:43:53 -0000
Changes http://www.axiom-developer.org/zope/mathaction/BuildAxiom/diff
--
cvs -z3 -d:ext:anoncvs@savannah.nongnu.org:/cvsroot/axiom co axiom
nongnu.org: Operation timed out
cvs [checkout aborted]: end of file from server (consult above messages if any)
William
--
forwarded from http://www.axiom-developer.org/zope/mathaction/BuildAxiom#msg20050827153244-0500@www.axiom-developer.org
From MAILER-DAEMON Sat Aug 27 16:46:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E97XD-0000wt-T2
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 16:44:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E97Wr-0000kr-K2
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:43:54 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E97Wh-0000hH-W8
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:43:44 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E97Wh-0000dr-TR
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:43:43 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E97Kl-0002a2-QP
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 16:31:24 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7RKTLwl007223;
Sat, 27 Aug 2005 15:29:21 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050827152917-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 27 Aug 2005 15:29:21 -0500
Cc:
Subject: [Axiom-developer] [AxiomDownload] link broken
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 20:43:58 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
Bill:
The links to April-2005-Sources
http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-src.tgz&it=April+2005+Sources
and February-2005-Sources on this page are broken.
William
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050827152917-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 27 17:21:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E986z-0003xh-9d
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 17:21:13 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E986v-0003v0-KL
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:21:09 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E986u-0003tw-1k
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:21:08 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E986t-0003tm-PN
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:21:07 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9836-0004t7-MF
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:17:12 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7RLF1wl017829;
Sat, 27 Aug 2005 16:15:01 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050827161500-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 27 Aug 2005 16:15:01 -0500
Cc:
Subject: [Axiom-developer] [AxiomDownload] Re: link broken
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 21:21:11 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
William,
I just tested and both of these links worked fine for me but they
were using the 'http:/xxx/yyy' type of url without an explicit machine
name. On some (weird old browsers) this type of link apparently doesn't
work. When I use FireFox 1.0.5 on Windows they work fine and I never
had trouble with Windows Explorer 6. What browser and version are you
using? What error message did you get?
Anyway, I changed the links to remove the 'http:' prefix which seems
to work better in some cases. Let me know if it works for you now.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050827161500-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 27 17:21:17 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9872-00040f-Rw
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 17:21:17 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E986z-0003xm-Qw
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:21:14 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E986x-0003wd-6Q
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:21:11 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E986x-0003tm-2g
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:21:11 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E97z7-0004jn-Tw
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 17:13:06 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7RLB2wl017255;
Sat, 27 Aug 2005 16:11:02 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050827161101-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 27 Aug 2005 16:11:01 -0500
Cc:
Subject: [Axiom-developer] [AxiomDownload] Maybe a problem with http: prefix
without machine name
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sat, 27 Aug 2005 21:21:15 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
??changed:
-sources":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-src.tgz&it=April+2005+Sources
sources":/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-Apr2005-src.tgz&it=April+2005+Sources
??changed:
- * "February 2005 sources":http:/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-20050201-src.tgz&it=February+2005+source+code
* "February 2005 sources":/zope/mathaction/Mirrors?go=http://axiom.axiom-developer.org/axiom-website/DOWNLOADS/axiom-20050201-src.tgz&it=February+2005+source+code
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050827161101-0500@page.axiom-developer.org
From MAILER-DAEMON Sat Aug 27 21:14:26 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9Bkf-0004bT-Ab
for mharc-axiom-developer@gnu.org; Sat, 27 Aug 2005 21:14:25 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9Bkd-0004aS-Bk
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 21:14:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9Bkb-0004Zp-Pr
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 21:14:22 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9Bjy-0004EG-07
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 21:13:42 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9BG6-00067K-JR
for axiom-developer@nongnu.org; Sat, 27 Aug 2005 20:42:50 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7S0ehwl009513;
Sat, 27 Aug 2005 19:40:43 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050827194042-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 27 Aug 2005 19:40:42 -0500
Cc:
Subject: [Axiom-developer] [AxiomDownload] Works now
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 01:14:23 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AxiomDownload/diff
--
Thanks Bill. I was using Safari on a Mac OS X.
William
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AxiomDownload#msg20050827194042-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 00:41:39 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9Ez9-0004o6-3P
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 00:41:35 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9Eyy-0004hh-AP
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 00:41:24 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9Eyt-0004du-NJ
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 00:41:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9Eyr-0004a0-L1
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 00:41:18 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9Eqc-0007qa-0E
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 00:32:46 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7S4UXwl006078;
Sat, 27 Aug 2005 23:30:34 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050827233033-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sat, 27 Aug 2005 23:30:33 -0500
Cc:
Subject: [Axiom-developer] [polymake]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 04:41:30 -0000
Changes http://www.axiom-developer.org/zope/mathaction/Polymake/diff
--
??changed:
-\begin{axiom}
\begin{spad}
--removed:
-
- fVector: % -> Vector Integer
-
- f2Vector: % -> Matrix Integer
-
- hVector: % -> Vector Integer
-
- simple: % -> Boolean
++added:
nPoints: % -> Cardinal
++ Number of points.
nInequalities: % -> Cardinal
++ Number of inequalities.
vertexBarycenter: % -> Vector Scalar
++ The center of gravity of the vertices of a bounded polytope.
minimalVertexAngle: % -> Scalar
++ The minimum angle between any two vertices (seen from the
++ VERTEXBARYCENTER).
zonotopeInputVectors: % -> Matrix Scalar
++ Contains the vector configuration for which a zonotope can be built.
reverseTransformation: % -> Matrix Scalar
++ Some invertible linear transformation that can be used to get back a
++ previous coordinate repersentation of the polytope. It operates from
++ the right on point row vectors (e.g. in properties like POINTS,
++ VERTICES, REL_INT_POINT); its inverse operates from the left on
++ hyperplane column vectors.
-- vertexLabels: % -> array<label>
-- ++ Unique names assigned to the VERTICES. If specified, they are shown by
-- ++ visualization tools instead of vertex indices. For a polytope build
-- ++ from scratch, you should create this property by yourself, either
-- ++ manually in a text editor, or with a client program. If you build a
-- ++ polytope with a construction client taking some other input
-- ++ polytope(s), you can create the labels automatically if you call the
-- ++ client with a -relabel option. The exact format of the labels is
-- ++ dependent on the construction, and is described by the corresponding
-- ++ client.
-- facetLabels: % -> array<label>
-- ++ Unique names assigned to the FACETS, analogous to VERTEX_LABELS.
galeTransform: % -> Matrix Scalar
++ Coordinates of the Gale transform.
steinerPoints: % -> Matrix Scalar
++ A weighted inner point depending on the outer angle called Steiner
++ point for all faces of dimensions 2 to d.
-- Combinatorics
nVertices: % -> Cardinal
++ Number of vertices.
nBoundedVertices: % -> Cardinal
++ Number of bounded vertices (non-rays).
nFacets: % -> Cardinal
++ Number of facets.
nVertexFacetInc: % -> Cardinal
++ Number of pairs of incident vertices and facets.
-- verticesInFacets: % -> incidence_matrix
-- ++ Vertex-facet incidence matrix, with rows corresponding to facets and
-- ++ columns to vertices. Vertices and facets are numbered from 0 to
-- ++ N_VERTICES-1 rsp. N_FACETS-1, according to their order in VERTICES
-- ++ rsp. FACETS.
-- facetsThruVertices: % -> incidence_matrix
-- ++ transposed VERTICES_IN_FACETS
-- hasseDiagram: % -> face_lattice
-- ++ The face lattice of the polytope organized as a directed graph. Each
-- ++ node corresponds to some proper face of the polytope. The nodes
-- ++ corresponding to the vertices and facets appear in the same order as
-- ++ the elements of VERTICES and FACETS properties. Two special nodes
-- ++ represent the whole polytope and the empty face.
-- vertexSizes: % -> array<Cardinal>
-- ++ Number of incident facets for each vertex.
-- facetSizes: % -> array<Cardinal>
-- ++ Number of incident vertices for each facet.
--
-- graph: % -> graph
-- ++ Vertex-edge graph.
--
-- dualGraph: % -> graph
-- ++ Facet-ridge graph. Dual to GRAPH.
nEdges: % -> Cardinal
++ Number of edges.
nRidges: % -> Cardinal
++ Number of ridges.
-- vertexDegrees: % -> array<Cardinal>
-- ++ Degrees of vertices in the GRAPH.
-- facetDegrees: % -> array<Cardinal>
-- ++ Degrees of facets in the DUAL_GRAPH.
diameter: % -> Cardinal
++ Graph theoretical diameter of GRAPH.
dualDiameter: % -> Cardinal
++ Graph theoretical diameter of DUAL_GRAPH.
triangleFree: % -> Boolean
++ True if GRAPH does not contain a triangle.
dualTriangleFree: % -> Boolean
++ True if DUAL_GRAPH does not contain a triangle.
altshulerDet: % -> Cardinal
++ Let M be the vertex-facet incidence matrix, then the Altshulter
++ determinant is defined as max{det(M?MT), det(MT?M)}.
fVector: % -> Vector Cardinal
++ fk is the number of k-faces.
f2Vector: % -> Matrix Cardinal
++ fik is the number of incident pairs of i-faces and k-faces; the main
++ diagonal contains the F_VECTOR.
flagVector: % -> Vector Cardinal
++ Condensed form of the flag vector. Use Dehn-Sommerville equations, via
++ user function N_FLAGS, to extend.
cdIndexCoefficients: % -> Vector Cardinal
++ Coefficients of the cd-index.
hVector: % -> Vector Cardinal
++ Simplicial h-vector. Defined for simplicial polytopes and also for
++ their duals.
cubicalHVector: % -> Vector Cardinal
++ undocumented
essentiallyGeneric: % -> Boolean
++ all intermediate polytopes (with respect to the given insertion order)
++ in the beneath-and-beyond algorithm are simplicial. We have the ++
++ implication : VERTICES in general position => ESSENTIALLY_GENERIC =>
++ SIMPLICIAL
simplicial: % -> Boolean
++ True if the polytope is simplicial.
simple: % -> Boolean
++ True if the polytope is simple. Dual to SIMPLICIAL.
even: % -> Boolean
++ True if the GRAPH of the polytope is bipartite.
dualEven: % -> Boolean
++ True if the DUAL_GRAPH of the polytope is bipartite. Dual to EVEN.
connectivity: % -> Cardinal
++ Node connectivity of the GRAPH of the polytope, that is, the minimal
++ number of nodes to be removed from the graph such that the result is
++ disconnected.
dualConnectivity: % -> Cardinal
++ Node connectivity of the DUAL_GRAPH of the polytope. Dual to
++ CONNECTIVITY.
simpliciality: % -> Cardinal
++ Maximal dimension in which all faces are simplices.
simplicity: % -> Cardinal
++ Maximal dimension in which all dual faces are simplices.
faceSimplicity: % -> Cardinal
++ Maximal dimension in which all faces are simple polytopes.
cubical: % -> Boolean
++ True if all facets are cubes.
cubicality: % -> Cardinal
++ Maximal dimension in which all facets are cubes.
cocubical: % -> Boolean
++ Dual to CUBICAL.
cocubicality: % -> Cardinal
++ Dual to CUBICALITY.
neighborly: % -> Boolean
++ True if the polytope is neighborly.
neighborliness: % -> Cardinal
++ Maximal dimension in which all facets are neighborly.
balanced: % -> Boolean
++ Dual to NEIGHBORLY.
balance: % -> Cardinal
++ Maximal dimension in which all facets are balanced.
fatness: % -> Scalar
++ Parameter describing the shape of the face-lattice of a 4-polytope.
complexity: % -> Scalar
??changed:
- polylib: String := "/usr/local/polymake/bin/"
polylib: String := "/usr/local/polymake/bin"
??changed:
- systemCommand("system " polylib cmd " " polydir rep ".poly " prm)_
systemCommand("system " cmd " " polydir rep ".poly " prm)_
??changed:
- systemCommand("system " polylib "polymake " polydir (rep::Rep) ".poly "_
systemCommand("system polymake " polydir (rep::Rep) ".poly "_
--removed:
- fVector s ==
- polyprop(s, "F__VECTOR")
- getVectorInteger(polytmpfile)$ReadFile
-
- f2Vector s ==
- polyprop(s, "F2__VECTOR")
- getMatrixInteger(polytmpfile)$ReadFile
-
- hVector s ==
- polyprop(s, "H__VECTOR")
- getVectorInteger(polytmpfile)$ReadFile
-
- simple s ==
- polyprop(s, "SIMPLE")
- getBoolean(polytmpfile)$ReadFile
-
??changed:
- map(#1 pretend Cardinal, getSetInteger(polytmpfile)$ReadFile)_
- $FiniteSetAggregateFunctions2(Integer, Set Integer,
- Cardinal, Set Cardinal)
-
getSetInteger(polytmpfile)$ReadFile pretend Set Cardinal
??changed:
- polyprop(s, "UNBOUNDED__FACETS")
- map(#1 pretend Cardinal, getSetInteger(polytmpfile)$ReadFile)_
- $FiniteSetAggregateFunctions2(Integer, Set Integer,
- Cardinal, Set Cardinal)
polyprop(s, "UNBOUNDED__FACETS")
getSetInteger(polytmpfile)$ReadFile pretend Set Cardinal
??changed:
-\end{axiom}
nPoints s ==
polyprop(s, "N__POINTS")
getInteger(polytmpfile)$ReadFile :: Cardinal
nInequalities s ==
polyprop(s, "N__INEQUALITIES")
getInteger(polytmpfile)$ReadFile :: Cardinal
vertexBarycenter s ==
polyprop(s, "VERTEX__BARYCENTER")
getVectorFraction(polytmpfile)$ReadFile
minimalVertexAngle s ==
polyprop(s, "MINIMAL__VERTEX__ANGLE")
getFraction(polytmpfile)$ReadFile
zonotopeInputVectors s ==
polyprop(s, "ZONOTOPE__INPUT__VECTORS")
getMatrixFraction(polytmpfile)$ReadFile
reverseTransformation s ==
polyprop(s, "REVERSE__TRANSFORMATION")
getMatrixFraction(polytmpfile)$ReadFile
-- vertexLabels: % -> array<label>
-- facetLabels: % -> array<label>
galeTransform s ==
polyprop(s, "GALE__TRANSFORM")
getMatrixFraction(polytmpfile)$ReadFile
steinerPoints s ==
polyprop(s, "STEINER__POINTS")
getMatrixFraction(polytmpfile)$ReadFile
-- Combinatorics
nVertices s ==
polyprop(s, "N__VERTICES")
getInteger(polytmpfile)$ReadFile :: Cardinal
nBoundedVertices s ==
polyprop(s, "N__BOUNDED__VERTICES")
getInteger(polytmpfile)$ReadFile :: Cardinal
nFacets s ==
polyprop(s, "N__FACETS")
getInteger(polytmpfile)$ReadFile :: Cardinal
nVertexFacetInc s ==
polyprop(s, "N__VERTEX__FACET__INC")
getInteger(polytmpfile)$ReadFile :: Cardinal
-- verticesInFacets: % -> incidence_matrix
-- ++ Vertex-facet incidence matrix, with rows corresponding to facets and
-- ++ columns to vertices. Vertices and facets are numbered from 0 to
-- ++ N_VERTICES-1 rsp. N_FACETS-1, according to their order in VERTICES
-- ++ rsp. FACETS.
-- facetsThruVertices: % -> incidence_matrix
-- ++ transposed VERTICES_IN_FACETS
-- hasseDiagram: % -> face_lattice
-- ++ The face lattice of the polytope organized as a directed graph. Each
-- ++ node corresponds to some proper face of the polytope. The nodes
-- ++ corresponding to the vertices and facets appear in the same order as
-- ++ the elements of VERTICES and FACETS properties. Two special nodes
-- ++ represent the whole polytope and the empty face.
-- vertexSizes: % -> array<Cardinal>
-- ++ Number of incident facets for each vertex.
-- facetSizes: % -> array<Cardinal>
-- ++ Number of incident vertices for each facet.
--
-- graph: % -> graph
-- ++ Vertex-edge graph.
--
-- dualGraph: % -> graph
-- ++ Facet-ridge graph. Dual to GRAPH.
nEdges s ==
polyprop(s, "N__EDGES")
getInteger(polytmpfile)$ReadFile :: Cardinal
nRidges s ==
polyprop(s, "N__RIDGES")
getInteger(polytmpfile)$ReadFile :: Cardinal
-- vertexDegrees: % -> array<Cardinal>
-- ++ Degrees of vertices in the GRAPH.
-- facetDegrees: % -> array<Cardinal>
-- ++ Degrees of facets in the DUAL_GRAPH.
diameter s ==
polyprop(s, "DIAMETER")
getInteger(polytmpfile)$ReadFile :: Cardinal
dualDiameter s ==
polyprop(s, "DUAL__DIAMETER")
getInteger(polytmpfile)$ReadFile :: Cardinal
triangleFree s ==
polyprop(s, "TRIANGLE__FREE")
getBoolean(polytmpfile)$ReadFile
dualTriangleFree s ==
polyprop(s, "DUAL__TRIANGLE__FREE")
getBoolean(polytmpfile)$ReadFile
altshulerDet s ==
polyprop(s, "ALTSHULER__DET")
getInteger(polytmpfile)$ReadFile :: Cardinal
fVector s ==
polyprop(s, "F__VECTOR")
getVectorInteger(polytmpfile)$ReadFile pretend Vector Cardinal
f2Vector s ==
polyprop(s, "F2__VECTOR")
getMatrixInteger(polytmpfile)$ReadFile pretend Matrix Cardinal
flagVector s ==
polyprop(s, "FLAG__VECTOR")
getVectorInteger(polytmpfile)$ReadFile pretend Vector Cardinal
cdIndexCoefficients s ==
polyprop(s, "CD__INDEX__COEFFICIENTS")
getVectorInteger(polytmpfile)$ReadFile pretend Vector Cardinal
hVector s ==
polyprop(s, "H__VECTOR")
getVectorInteger(polytmpfile)$ReadFile pretend Vector Cardinal
cubicalHVector s ==
polyprop(s, "CUBICAL__H__VECTOR")
getVectorInteger(polytmpfile)$ReadFile pretend Vector Cardinal
essentiallyGeneric s ==
polyprop(s, "ESSENTIALLY__GENERIC")
getBoolean(polytmpfile)$ReadFile
simplicial s ==
polyprop(s, "SIMPLICIAL")
getBoolean(polytmpfile)$ReadFile
simple s ==
polyprop(s, "SIMPLE")
getBoolean(polytmpfile)$ReadFile
even s ==
polyprop(s, "EVEN")
getBoolean(polytmpfile)$ReadFile
dualEven s ==
polyprop(s, "DUAL__EVEN")
getBoolean(polytmpfile)$ReadFile
connectivity s ==
polyprop(s, "CONNECTIVITY")
getInteger(polytmpfile)$ReadFile :: Cardinal
dualConnectivity s ==
polyprop(s, "DUAL__CONNECTIVITY")
getInteger(polytmpfile)$ReadFile :: Cardinal
simpliciality s ==
polyprop(s, "SIMPLICIALITY")
getInteger(polytmpfile)$ReadFile :: Cardinal
simplicity s ==
polyprop(s, "SIMPLICITY")
getInteger(polytmpfile)$ReadFile :: Cardinal
faceSimplicity s ==
polyprop(s, "FACE__SIMPLICITY")
getInteger(polytmpfile)$ReadFile :: Cardinal
cubical s ==
polyprop(s, "CUBICAL")
getBoolean(polytmpfile)$ReadFile
cubicality s ==
polyprop(s, "CUBICALITY")
getInteger(polytmpfile)$ReadFile :: Cardinal
cocubical s ==
polyprop(s, "COCUBICAL")
getBoolean(polytmpfile)$ReadFile
cocubicality s ==
polyprop(s, "COCUBICALITY")
getInteger(polytmpfile)$ReadFile :: Cardinal
neighborly s ==
polyprop(s, "NEIGHBORLY")
[75 more lines...]
--
forwarded from http://www.axiom-developer.org/zope/mathaction/Polymake#msg20050827233033-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 11:17:06 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9OuA-0001zE-4q
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 11:17:06 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9Ou8-0001yR-66
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 11:17:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9Ou7-0001xs-8T
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 11:17:03 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9Ou6-0001x5-S9
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 11:17:02 -0400
Received: from [206.46.252.48] (helo=vms048pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9Or5-0006Jy-7O
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 11:13:55 -0400
Received: from cunyvm.cuny.edu ([162.84.159.110])
by vms048.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILX00LQYU7R2800@vms048.mailsrvcs.net> for
axiom-developer@nongnu.org; Sun, 28 Aug 2005 10:11:52 -0500 (CDT)
Date: Sun, 28 Aug 2005 11:11:57 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
To: daly@axiom-developer.org
Message-id: <4311D43D.11179DF1@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] axiom on Mac OSX
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 15:17:04 -0000
Tim:
With some help from my son, I have finally tried to compile axiom on
my Mac. I got to this far (see below):
I am using gcc 4.0 running under OS 10.4. The problem seems to be that MacOS
10.4 missing some library functions, such as sigaction, read, write, etc and
localtime, the last one finally is more than a warning.
Also, the shell has no command called notdir, used in setting
SYS=$(notdir $(AXIOM))
which can be patched using
SYS=MACOSX
I tried the FreeBSD localtime.c, but it does not compile (standalone) with many
compatibility errors.
William
-- Console transcript:
18 making /Users/wyscc/axiom--main--1/src
1 making /Users/wyscc/axiom--main--1/src/scripts
1 making /Users/wyscc/axiom--main--1/src/scripts
17 making /Users/wyscc/axiom--main--1/src/lib
2 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/bsdsignal.o from /
Users/wyscc/axiom--main--1/int/lib/bsdsignal.c
/Users/wyscc/axiom--main--1/int/lib/bsdsignal.c: In function
'bsdSignal':
/Users/wyscc/axiom--main--1/int/lib/bsdsignal.c:68: warning: implicit
declaration of function 'sigaction'
10 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/cursor.o from /
Users/wyscc/axiom--main--1/int/lib/cursor.c
14 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/edin.o from /
Users/wyscc/axiom--main--1/int/lib/edin.c
/Users/wyscc/axiom--main--1/int/lib/edin.c: In function 'do_reading':
/Users/wyscc/axiom--main--1/int/lib/edin.c:161: warning: implicit
declaration of function 'read'
/Users/wyscc/axiom--main--1/int/lib/edin.c:421: warning: implicit
declaration of function 'write'
18 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/fnct_key.o from /
Users/wyscc/axiom--main--1/int/lib/fnct_key.c
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c: In function
'set_editor_key':
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:86: warning: implicit
declaration of function 'getpid'
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c: In function 'get_key':
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:196: warning: implicit
declaration of function 'read'
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c: In function
'handle_function_key':
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:325: warning: implicit
declaration of function 'access'
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:327: warning: implicit
declaration of function 'write'
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:329: warning: implicit
declaration of function 'close'
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:344: warning: implicit
declaration of function 'fork'
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:349: warning: implicit
declaration of function 'execlp'
/Users/wyscc/axiom--main--1/int/lib/fnct_key.c:349: warning:
incompatible implicit declaration of built-in function 'execlp'
22 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/halloc.o from /
Users/wyscc/axiom--main--1/int/lib/halloc.c
30 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/openpty.o from /
Users/wyscc/axiom--main--1/int/lib/openpty.c
34 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/pixmap.o from /
Users/wyscc/axiom--main--1/int/lib/pixmap.c
38 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/prt.o from /
Users/wyscc/axiom--main--1/int/lib/prt.c
42 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/sockio-c.o from /
Users/wyscc/axiom--main--1/int/lib/sockio-c.c
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c: In function 'sread':
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:151: warning: implicit
declaration of function 'read'
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:156: warning: implicit
declaration of function 'close'
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c: In function 'swrite':
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:184: warning: implicit
declaration of function 'write'
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c: In function
'send_signal':
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:822: warning: implicit
declaration of function 'kill'
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c: In function
'connect_to_local_server_new':
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:907: warning: implicit
declaration of function 'sleep'
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:915: warning: implicit
declaration of function 'getpid'
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c: In function
'close_socket':
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:1063: warning:
implicit declaration of function 'unlink'
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c: In function
'redirect_stdio':
/Users/wyscc/axiom--main--1/int/lib/sockio-c.c:1253: warning:
implicit declaration of function 'dup2'
46 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/spadcolors.o
from /Users/wyscc/axiom--main--1/int/lib/spadcolors.c
/Users/wyscc/axiom--main--1/int/lib/spadcolors.c: In function
'HSVtoRGB':
/Users/wyscc/axiom--main--1/int/lib/spadcolors.c:73: warning: 'rgb$b'
may be used uninitialized in this function
/Users/wyscc/axiom--main--1/int/lib/spadcolors.c:73: warning: 'rgb$g'
may be used uninitialized in this function
/Users/wyscc/axiom--main--1/int/lib/spadcolors.c:73: warning: 'rgb$r'
may be used uninitialized in this function
/Users/wyscc/axiom--main--1/int/lib/spadcolors.c: In function
'AllocCells':
/Users/wyscc/axiom--main--1/int/lib/spadcolors.c:573: warning: 'xcolor
$pixel' is used uninitialized in this function
50 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/util.o from /
Users/wyscc/axiom--main--1/int/lib/util.c
/Users/wyscc/axiom--main--1/int/lib/util.c: In function 'checker':
/Users/wyscc/axiom--main--1/int/lib/util.c:63: warning: implicit
declaration of function 'getpid'
54 making /Users/wyscc/axiom--main--1/obj/MACOSX/lib/wct.o from /
Users/wyscc/axiom--main--1/int/lib/wct.c
/Users/wyscc/axiom--main--1/int/lib/wct.c: In function 'printTime':
/Users/wyscc/axiom--main--1/int/lib/wct.c:299: warning: implicit
declaration of function 'localtime'
/Users/wyscc/axiom--main--1/int/lib/wct.c:299: warning: assignment
makes pointer from integer without a cast
/Users/wyscc/axiom--main--1/int/lib/wct.c:301: error: dereferencing
pointer to incomplete type
/Users/wyscc/axiom--main--1/int/lib/wct.c:301: error: dereferencing
pointer to incomplete type
/Users/wyscc/axiom--main--1/int/lib/wct.c:301: error: dereferencing
pointer to incomplete type
/Users/wyscc/axiom--main--1/int/lib/wct.c:302: error: dereferencing
pointer to incomplete type
/Users/wyscc/axiom--main--1/int/lib/wct.c:302: error: dereferencing
pointer to incomplete type
/Users/wyscc/axiom--main--1/int/lib/wct.c:302: error: dereferencing
pointer to incomplete type
/Users/wyscc/axiom--main--1/int/lib/wct.c: In function 'reread1Wct':
/Users/wyscc/axiom--main--1/int/lib/wct.c:385: warning: implicit
declaration of function 'read'
make[3]: *** [/Users/wyscc/axiom--main--1/obj/MACOSX/lib/wct.o] Error 1
make[2]: *** [libdir] Error 2
make[1]: *** [srcsetup] Error 2
make: *** [all] Error 2
From MAILER-DAEMON Sun Aug 28 12:47:34 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9QJh-0002qt-Vd
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 12:47:34 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9QJE-0002lk-42
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 12:47:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9QJ8-0002he-Ho
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 12:46:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9QJ5-0002Vv-Nc
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 12:46:55 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1E9Pwp-0001kc-V9
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 12:23:56 -0400
Received: (qmail invoked by alias); 28 Aug 2005 16:21:51 -0000
Received: from p549F781B.dip.t-dialin.net (EHLO Pupone.local) [84.159.120.27]
by mail.gmx.net (mp010) with SMTP; 28 Aug 2005 18:21:51 +0200
X-Authenticated: #7158753
To: wyscc@cunyvm.cuny.edu
Subject: Re: [Axiom-developer] axiom on Mac OSX
References: <4311D43D.11179DF1@cunyvm.cuny.edu>
From: Kai Kaminski <kai.kaminski@gmail.com>
In-Reply-To: <4311D43D.11179DF1@cunyvm.cuny.edu> (William Sit's message of
"Sun, 28 Aug 2005 11:11:57 -0400")
Date: Sun, 28 Aug 2005 18:22:26 +0200
Message-ID: <m2ek8e58vx.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 16:47:11 -0000
Hi William,
since I'm using OS X myself I'd be much interested in an OS X
port. I've tried to compile Axiom on Panther a few weeks ago and it
didn't work either. Just like you I had (different) problems
concerning C library functions or header files. I've studied some of
the C code in some detail and I have the impression that almost all C
code is for the HyperDoc, Graphics or the management processes (axiom,
session manager etc). There seem to be only very few places
(sockio.lisp, cfuns.lisp, unlisp.lisp, hash.lisp) where AXIOMsys uses
C code. When I last looked at this code it didn't seem to have much
potential for compilation problems. Besides most of it could be
replaced by dummy functions (for example in
sockio.lisp.pamphlet). Compiling AXIOMsys would already allow using
most of Axiom's functionality (everything but HyperDoc and Graphics
pretty much) as well as the Emacs and Texmacs interfaces.
Kai
From MAILER-DAEMON Sun Aug 28 14:19:30 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9Rkg-0004AC-HH
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 14:19:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9Rke-00047y-8g
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 14:19:28 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9Rkb-00046D-Is
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 14:19:27 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9Rkb-00045W-AW
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 14:19:25 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9RgS-0007VI-V8
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 14:15:09 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7SICswl023882;
Sun, 28 Aug 2005 13:12:54 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050828131254-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 13:12:54 -0500
Cc:
Subject: [Axiom-developer] [RationalInterpolation]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 18:19:28 -0000
Changes http://www.axiom-developer.org/zope/mathaction/RationalInterpolation/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/RationalInterpolation#msg20050828131254-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 16:13:14 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9TWk-0001xt-6y
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 16:13:14 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9TWh-0001wf-OH
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 16:13:11 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9TWf-0001va-Jm
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 16:13:10 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9TTt-0001K4-4o
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 16:10:17 -0400
Received: from [24.154.1.22] (helo=mx-3.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9TFV-0003hG-Gf
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 15:55:25 -0400
Received: from mua-3.zoominternet.net (mua-3.zoominternet.net [24.154.1.46])
by mx-3.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7SJr8xs001742;
Sun, 28 Aug 2005 15:53:08 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-3.zoominternet.net (Postfix) with ESMTP id 109807F40A;
Sun, 28 Aug 2005 15:53:06 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7SJoMc09111;
Sun, 28 Aug 2005 15:50:22 -0400
Date: Sun, 28 Aug 2005 15:50:22 -0400
Message-Id: <200508281950.j7SJoMc09111@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: wyscc@cunyvm.cuny.edu
In-reply-to: <4311D43D.11179DF1@cunyvm.cuny.edu> (message from William Sit on
Sun, 28 Aug 2005 11:11:57 -0400)
References: <4311D43D.11179DF1@cunyvm.cuny.edu>
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.22
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: axiom on Mac OSX
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 20:13:12 -0000
William,
Actually there is a MACOSX stanza in the Makefile.pamphlet file
which should be extracted by just setting your AXIOM shell variable to:
AXIOM=/Users/wyscc/mnt/MACOSX
The Mac port is only partially done. I don't have a mac so it makes it
hard to do the port. I'm working on the FreeBSD version which should
already work but I'm unable to get it running yet. It appears that I
don't have all of the tools properly installed and I'm struggling with
figuring out how to get the tool chain working.
There is no such thing as a simple job.
Tim
From MAILER-DAEMON Sun Aug 28 16:40:42 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9TxI-0003Gk-JZ
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 16:40:42 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9Tx9-0003Cs-7B
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 16:40:31 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9Tx0-00036y-VP
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 16:40:24 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9Twy-0002zc-D0
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 16:40:20 -0400
Received: from [206.46.252.44] (helo=vms044pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9TfY-0005ex-BV
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 16:22:20 -0400
Received: from cunyvm.cuny.edu ([162.84.159.110])
by vms044.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILY00AT58HQBCL7@vms044.mailsrvcs.net> for
axiom-developer@nongnu.org; Sun, 28 Aug 2005 15:20:14 -0500 (CDT)
Date: Sun, 28 Aug 2005 16:20:19 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
Subject: Re: [Axiom-developer] axiom on Mac OSX
To: Kai Kaminski <kai.kaminski@gmail.com>
Message-id: <43121C83.26D201EC@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <4311D43D.11179DF1@cunyvm.cuny.edu> <m2ek8e58vx.fsf@Pupone.local>
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 20:40:32 -0000
Kai Kaminski wrote:
> Besides most of it could be
> replaced by dummy functions (for example in
> sockio.lisp.pamphlet).
I tried to "import" localtime() from FreeBSD library: wrap it in a pamphlet
file, modify the src/lib/Makefile.pamphlet to include this and do a make clean
at top level. However, the Makefile in src/lib created this error:
17 making /users/wyscc/axiom--main--1/src/lib
Makefile 12: *** commands commence before first target. Stop.
make[2]: *** [libdir] Error 2
make[1]: *** [srcsetup] Error 2
make: *** [all] Error 2
I find modifying src/lib/Makefile.pamphlet (adding localtime.c.pamphlet) very
tedious -- I even put all the files in alphabetical order, resequence the echo
numbers, etc (see attached). Don't know why it didn't work. Perhaps Tim has some
tools to insert and delete c.pamphlet files without doing so manually, which is
error prone.
Tim wrote:
> Actually there is a MACOSX stanza in the Makefile.pamphlet file
> which should be extracted by just setting your AXIOM shell variable to:
>
> AXIOM=/Users/wyscc/mnt/MACOSX
I already did that, and I also tried the FreeBSD version. I am also working with
the newest download (September 2005), but it makes no difference even if I use
the April 2005 version.
Can someone point out how to "dummy" out these, I believe non-existing under
MacOSX, files to force the compile to continue? or replacement files? (for a
start, some version of localtime.c that wct.c would like. MACOSX must have some
equivalent time functions.
William
From MAILER-DAEMON Sun Aug 28 17:10:05 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9UPj-0002Vd-8R
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 17:10:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9UPM-0002Oh-9H
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 17:09:40 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9UPD-0002KG-RV
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 17:09:33 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9UPD-0002IQ-Nv
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 17:09:31 -0400
Received: from [206.46.252.44] (helo=vms044pub.verizon.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9UGH-0007EL-D8
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 17:00:17 -0400
Received: from cunyvm.cuny.edu ([162.84.159.110])
by vms044.mailsrvcs.net (Sun Java System Messaging Server 6.2 HotFix
0.04 (built Dec 24 2004)) with ESMTPA id
<0ILY00AQKA8ZB8W7@vms044.mailsrvcs.net> for
axiom-developer@nongnu.org; Sun, 28 Aug 2005 15:58:11 -0500 (CDT)
Date: Sun, 28 Aug 2005 16:58:16 -0400
From: William Sit <wyscc@cunyvm.cuny.edu>
To: daly@axiom-developer.org
Message-id: <43122568.A4955E7D@cunyvm.cuny.edu>
Organization: City College of New York
MIME-version: 1.0
X-Mailer: Mozilla 4.7 [en] (WinNT; U)
Content-type: text/plain; charset=us-ascii
Content-transfer-encoding: 7bit
X-Accept-Language: en,zh-CN,zh-TW,zh
References: <4311D43D.11179DF1@cunyvm.cuny.edu>
<200508281950.j7SJoMc09111@localhost.localdomain>
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: axiom on Mac OSX (attachment)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: wyscc@cunyvm.cuny.edu
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 21:09:52 -0000
Sorry, I deleted it already! Please ignore.
William
From MAILER-DAEMON Sun Aug 28 19:13:18 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9WKh-0001W8-AA
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 19:12:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9WKO-0001Mr-Cf
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 19:12:41 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9WKF-0001HL-KM
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 19:12:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9WKC-00018X-Ir
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 19:12:29 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9VzV-00048v-P0
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 18:51:05 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7SMmlwl028836;
Sun, 28 Aug 2005 17:48:47 -0500
From: mathaction@axiom-developer.org (=?ISO-8859-1?Q?Jens_Axel_S=F8gaard?=)
To: mathaction@axiom-developer.org
Message-ID: <43123731.7020106@soegaard.net>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 17:48:47 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] Lexicographic order
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 23:12:43 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Hi all,
Is there a smarter way than the following to write lexorder?(p,q) ?
lexorder?(p,q) ==
if empty?(variables(p))
then return ~empty(variables(q))
else
vars := members(difference( set(variables( secret1*p + secret2*q)),
set([secret1, secret2])))
a := members(degree( p::DMP(vars,?) ))
b := members(degree( q::DMP(vars,?) ))
return negative?( first(a) - first(b) )
My first attempt used:
vars := sort(members(union(set(variables(p), variables(q)))))
but was surprised to see
> sort([x,y,z])
[z,y,x]
> sort([x,z,y])
[y,z,x]
and thus made up the secret-trick in order to avoid sort.
--
Jens Axel Sgaard
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg43123731.7020106@soegaard.net
From MAILER-DAEMON Sun Aug 28 19:16:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9WKe-0001VX-LT
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 19:12:56 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9WKL-0001LN-Ny
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 19:12:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9WK9-0001Eb-Lo
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 19:12:27 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9WK8-00018X-UE
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 19:12:24 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9W4s-0004Fs-KJ
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 18:56:38 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7SMsKwl030226;
Sun, 28 Aug 2005 17:54:20 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050828175420-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 17:54:20 -0500
Cc:
Subject: [Axiom-developer] [RationalInterpolation]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Sun, 28 Aug 2005 23:12:42 -0000
Changes http://www.axiom-developer.org/zope/mathaction/RationalInterpolation/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/RationalInterpolation#msg20050828175420-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 22:11:55 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9Z5u-0006RZ-Bd
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 22:09:54 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9Z5d-0006JV-EA
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 22:09:37 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9Z5T-0006DM-OE
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 22:09:29 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9Z5T-00069p-I2
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 22:09:27 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9YxA-0004Oy-1T
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 22:00:52 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7T1wSwl007686;
Sun, 28 Aug 2005 20:58:28 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050828205828-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 20:58:28 -0500
Cc:
Subject: [Axiom-developer] [Guess]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 02:09:44 -0000
Changes http://www.axiom-developer.org/zope/mathaction/Guess/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
-
-\begin{axiom}
\end{spad}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/Guess#msg20050828205828-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 23:44:15 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9aZC-0006NB-P6
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 23:44:14 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9aYk-0006Ci-GT
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:43:46 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9aUk-0005gc-RP
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:48 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9aUc-0005cz-Di
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:30 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9aIC-0000CA-Us
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:26:41 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7T3OFwl028593;
Sun, 28 Aug 2005 22:24:15 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050828222415-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 22:24:15 -0500
Cc:
Subject: [Axiom-developer] [Guess]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 03:43:47 -0000
Changes http://www.axiom-developer.org/zope/mathaction/Guess/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
--- in guessExpRat m�chte ich die Wurzeln von Polynomen �ber F bestimmen. Wenn F
--- ein Quotientenk�rper ist, dann kann ich den Nenner loswerden.
--- F w�re dann also QFCAT S
-- in guessExpRat mchte ich die Wurzeln von Polynomen ber F bestimmen. Wenn F
-- ein Quotientenkrper ist, dann kann ich den Nenner loswerden.
-- F wre dann also QFCAT S
??changed:
--- EXPRR existiert, falls irgendwann einmal EXPR PF 5 unterst�tzt wird.
-
-
--- das folgende m�chte ich eigentlich loswerden.
-- EXPRR existiert, falls irgendwann einmal EXPR PF 5 untersttzt wird.
-- das folgende mchte ich eigentlich loswerden.
??changed:
--- brauche hier EXPRI, weil das Ergebnis ja die allgemeine Form enth�lt
-- brauche hier EXPRI, weil das Ergebnis ja die allgemeine Form enthlt
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/Guess#msg20050828222415-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 23:44:15 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9aZD-0006Nx-Od
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 23:44:15 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9aYo-0006Fx-4Y
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:43:50 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9aUg-0005jr-Pb
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:41 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9aUg-0005cz-Jy
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:34 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9a9U-0008OG-1Z
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:17:40 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7T3FFwl026225;
Sun, 28 Aug 2005 22:15:15 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050828221515-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 22:15:15 -0500
Cc:
Subject: [Axiom-developer] [#110 Domain Variable() and Symbol]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 03:43:50 -0000
Changes http://www.axiom-developer.org/zope/mathaction/110DomainVariableAndSymbol/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/110DomainVariableAndSymbol#msg20050828221515-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 23:44:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9aZJ-0006Qt-8o
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 23:44:21 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9aUt-0005oA-7w
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:48 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9aUg-0005ja-92
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:35 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9aUg-0005cz-0h
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:34 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9aAv-0008QH-1T
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:19:09 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7T3Gkwl026379;
Sun, 28 Aug 2005 22:16:46 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050828221646-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 22:16:46 -0500
Cc:
Subject: [Axiom-developer] [AbelianGroup]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 03:44:20 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AbelianGroup/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
-
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AbelianGroup#msg20050828221646-0500@www.axiom-developer.org
From MAILER-DAEMON Sun Aug 28 23:44:49 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9aZk-0006jZ-Ng
for mharc-axiom-developer@gnu.org; Sun, 28 Aug 2005 23:44:48 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9aUv-0005og-58
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:49 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9aUf-0005j4-G8
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9aUf-0005cz-DP
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:39:33 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9aCr-0008TS-Sl
for axiom-developer@nongnu.org; Sun, 28 Aug 2005 23:21:10 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7T3Ikwl026752;
Sun, 28 Aug 2005 22:18:46 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050828221846-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Sun, 28 Aug 2005 22:18:46 -0500
Cc:
Subject: [Axiom-developer] [CommonDenominator for polynomials]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 03:44:47 -0000
Changes http://www.axiom-developer.org/zope/mathaction/CommonDenominatorForPolynomials/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/CommonDenominatorForPolynomials#msg20050828221846-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 00:42:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9bTQ-00056U-JB
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 00:42:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9bTE-000545-OS
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 00:42:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9bT8-000513-Bl
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 00:42:07 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9bSs-0004fV-6A
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 00:41:46 -0400
Received: from [209.226.175.25] (helo=tomts5-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9b6P-0002js-5X
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 00:18:33 -0400
Received: from asus ([207.236.11.156]) by tomts5-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP
id <20050829041617.FRFU26967.tomts5-srv.bellnexxia.net@asus>;
Mon, 29 Aug 2005 00:16:17 -0400
From: "Bill Page" <bill.page1@sympatico.ca>
To: "'Martin Rubey'" <martin.rubey@univie.ac.at>
Date: Mon, 29 Aug 2005 00:15:41 -0400
Message-ID: <002701c5ac50$57e1e3b0$6400a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain;
charset="US-ASCII"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook, Build 10.0.2627
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180
In-Reply-To: <17168.49425.532738.718993@seam101.local>
Importance: Normal
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] begin{axiom},
begin{spad} and begin{aldor} (was: new version of polymake.spad)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 04:42:09 -0000
On August 27, 2005 3:38 PM Martin Rubey wrote:
>
> I suppose you hate seeing my email address by now...
>
Not at all! I am still very enthusiastic to try to help anyone
who is willing to share their expertise with other Axiom users
and developers. I think you are setting an excellent example to
others. Thank you for all your contributions.
> Anyway: I had problems uploading my most recent version of the
> polymake wrapper. MathAction keeps responding with Site Error...
>
I am sorry that it took me a little longer to find the source of
this problem. In this case it had nothing specifically to do with
your polymake code. Instead it turned out that the Site Error is
directly related to a recent email to axiom-developer.
In a recent thread with subject "steps towards better TeXmacs
interface" Andrey G. Grozin addressed the issue that the output
of Axiom is not well suited for processing as input to another
program such as TeXmacs. This is also a problem on the MathAction
website which must capture Axiom output and prepare it for
display on a web page.
The problem in this case is that the output of the SPAD compiler
is very verbose and quite messy. This output was causing the
MathAction parsing routines (based on some moderately complex
python regular expressions) to blow-up and abort the conversion
process.
In fact, I knew that this problem also occurred on some other
pages on MathAction. The most significant example was your code
for the 'Guess' routines. If saved as page type StructuredText+
LaTeX in order to trigger the Axiom SPAD compiler, that also
caused the Site Error and so previously it had to be saved as a
PlainText format page. The Site Error did not prevent the SPAD
compiler from running and compiling the code but it was impossible
to save the page unless the page type was changed to PlainText
because the Site Error aborts just prior to the save process.
The solution was also similar to that mentioned in the message by
Andrey: I had to insert additional markers in the Axiom output.
I did this using the following Axiom commands:
)sys echo <SPAD>
)sys cat code.spad
)sys echo </SPAD>
)co code.spad
SPAD compiler output
to more simply delimit the SPAD code from the associated compiler
output. This allowed me to avoid the more complex output parsing.
The other thing that happened recently was that I upgraded the
version of Axiom on MathAction to Patch-44 plus Peter Broadbery's
patches to support Aldor. So now it is possible to write both
SPAD and Aldor library routines on MathAction. To distinguish
between SPAD and Aldor I introduced the follow two new
environments:
\begin{aldor}
Aldor library code here
\end{aldor}
and
\begin{spad}
SPAD library code here
\end{spad}
The older \begin{axiom} ... environment still exists and is
intended to be used only for Axiom interpreter commands. For the
time being the deprecated form:
\begin{axiom}
)abbrev ...
SPAD library code here
\end{axiom}
still works but after everything that uses this form is converted
to form, this will be eliminated.
Only the new environment \begin{spad} ... produces the new
syntactic markers that permits SPAD compiler output to be handled
reliably. So this should be used for all new library code on
MathAction.
> I attach it, maybe you are luckier than me, probably more
> knowledgeable in any case...
>
In your polymake page I have changed the delimiters to:
\begin{spad}
...
\end{spad}
and inserted your new code.
>
> )abbrev domain POLYTOPE Polytope
> Polytope(): Exports == Implementation where
> ...
Now the page compiles and renders properly on MathAction.
I also did the same on you page named 'Guess' and now it
also is compiled and saved properly.
Let me know if you have any questions about this.
Regards,
Bill Page.
From MAILER-DAEMON Mon Aug 29 04:28:56 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9ewz-00005i-Ad
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 04:25:06 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9evK-0008BT-T1
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 04:23:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9et0-0007ol-Mu
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 04:20:59 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9eqf-0007XO-OW
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 04:18:34 -0400
Received: from [194.242.157.42] (helo=storm.uk.FreeBSD.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9eWl-000698-Mi
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 03:57:59 -0400
Received: from storm.uk.FreeBSD.org (uucp@localhost [127.0.0.1])
by storm.uk.FreeBSD.org (8.13.3/8.13.3) with ESMTP id j7T7tbgX009046;
Mon, 29 Aug 2005 08:55:37 +0100 (BST)
(envelope-from mark@grondar.org)
Received: (from uucp@localhost)
by storm.uk.FreeBSD.org (8.13.3/8.12.11/Submit) with UUCP id
j7T7taGt009045; Mon, 29 Aug 2005 08:55:36 +0100 (BST)
(envelope-from mark@grondar.org)
Received: from grunt.grondar.org (localhost [127.0.0.1])
by grunt.grondar.org (8.13.4/8.13.4) with ESMTP id j7T7oglN058958;
Mon, 29 Aug 2005 08:50:42 +0100 (BST)
(envelope-from mark@grunt.grondar.org)
Message-Id: <200508290750.j7T7oglN058958@grunt.grondar.org>
X-Mailer: exmh version 2.7.2 01/07/2005 with nmh-1.0.4
To: daly@axiom-developer.org
Subject: Re: [Axiom-developer] Re: axiom on Mac OSX
In-Reply-To: Message from root <daly@axiom-developer.org> of "Sun,
28 Aug 2005 15:50:22 EDT."
<200508281950.j7SJoMc09111@localhost.localdomain>
From: Mark Murray <markm@FreeBSD.org>
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Mon, 29 Aug 2005 08:50:42 +0100
Sender: mark@grondar.org
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 08:25:01 -0000
root writes:
>The Mac port is only partially done. I don't have a mac so it makes it
>hard to do the port. I'm working on the FreeBSD version which should
>already work but I'm unable to get it running yet. It appears that I
>don't have all of the tools properly installed and I'm struggling with
>figuring out how to get the tool chain working.
How can I help? I've done this a few times before! :-)
M
--
Mark R V Murray
What is the most interesting question you have asked?
What, if any, was the answer?
From MAILER-DAEMON Mon Aug 29 05:17:12 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9flL-0004Ox-H9
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 05:17:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9flA-0004O3-TG
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 05:16:58 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9fav-0003lX-PR
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 05:06:23 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9fFi-0002jJ-DB
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 04:44:26 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9f7A-0008Gx-Sj
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 04:35:37 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7T7sbEU078932;
Mon, 29 Aug 2005 09:54:40 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17170.48846.656234.641152@seam101.local>
Date: Mon, 29 Aug 2005 09:52:46 +0200
To: "Bill Page" <bill.page1@sympatico.ca>
In-Reply-To: <002701c5ac50$57e1e3b0$6400a8c0@asus>
References: <17168.49425.532738.718993@seam101.local>
<002701c5ac50$57e1e3b0$6400a8c0@asus>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4249; Body=1 Fuz1=6 Fuz2=6
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: begin{axiom},
begin{spad} and begin{aldor} (was: new version of polymake.spad)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 09:17:01 -0000
No questions but three comments:
* introducing the new "spad" environment is very sensible -- also from a
philosophical point of view.
* introducing the new "aldor" environment is superb. Ralf will like this one,
too!
* thanks for your prompt actions! it's really nice to work together with such
responsive people!
Martin
From MAILER-DAEMON Mon Aug 29 05:40:58 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9g8N-0006yV-LT
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 05:40:57 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9g7r-0006pU-2o
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 05:40:23 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9g7o-0006o9-Nk
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 05:40:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9g7n-0006mZ-OV
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 05:40:19 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9g1i-0003wx-KI
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 05:34:02 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7T9Vkwl011620;
Mon, 29 Aug 2005 04:31:46 -0500
From: mathaction@axiom-developer.org (Martin Rubey)
To: mathaction@axiom-developer.org
Message-ID: <17170.50973.133261.616524@seam101.local>
In-reply-to: <43123731.7020106@soegaard.net>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 04:31:46 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] Lexicographic order
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 09:40:31 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Dear Jens,
Although I'm not 100% sure what lexorder? ought to do exactly, you might want
to notice the following:
the first matching type the interpreter finds for [x,y,z] is
(13) -> [x,y,z]
(13) [x,y,z]
Type: List OrderedVariableList [x,y,z]
which means that in sort([x,z,y]) you are using the order imposed by
OrderedVariableList [x,y,z], which is z < y < x.
So, although
> > sort([x,y,z])
> [z,y,x]
>
> > sort([x,z,y])
> [y,z,x]
is surprising, it shouldn't be ;-) (<- please note the smiley !)
If you say
sort([x,z,y]::List Symbol), you will get the expected output.
I'm not totally sure how you can find out what ordering a domain uses. But very
likely, if its name doesn't contain something like "Ordered", it is the usual
lexicographic order.
Hope this helps,
Martin
Jens Axel Sgaard writes:
> Hi all,
>
> Is there a smarter way than the following to write lexorder?(p,q) ?
>
> lexorder?(p,q) ==
> if empty?(variables(p))
> then return ~empty(variables(q))
> else
> vars := members(difference( set(variables( secret1*p + secret2*q)),
> set([secret1, secret2])))
> a := members(degree( p::DMP(vars,?) ))
> b := members(degree( q::DMP(vars,?) ))
> return negative?( first(a) - first(b) )
>
>
> My first attempt used:
>
> vars := sort(members(union(set(variables(p), variables(q)))))
>
> but was surprised to see
>
> > sort([x,y,z])
> [z,y,x]
>
> > sort([x,z,y])
> [y,z,x]
>
> and thus made up the secret-trick in order to avoid sort.
>
> --
> Jens Axel Sgaard
>
>
>
> _______________________________________________
> Axiom-mail mailing list
> Axiom-mail@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-mail
>
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg17170.50973.133261.616524@seam101.local
From MAILER-DAEMON Mon Aug 29 07:14:19 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9hak-0007VV-VF
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 07:14:19 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9hag-0007SD-F0
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 07:14:14 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9hac-0007Q3-BP
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 07:14:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9hab-0007Bq-0c
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 07:14:09 -0400
Received: from [24.154.1.21] (helo=mx-2.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9hVk-0001aT-FS
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 07:09:08 -0400
Received: from mua-2.zoominternet.net (mua-2.zoominternet.net [24.154.1.45])
by mx-2.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7TB6mPM002905;
Mon, 29 Aug 2005 07:06:48 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-2.zoominternet.net (Postfix) with ESMTP id 646907F404;
Mon, 29 Aug 2005 07:06:39 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7TB3ud09629;
Mon, 29 Aug 2005 07:03:56 -0400
Date: Mon, 29 Aug 2005 07:03:56 -0400
Message-Id: <200508291103.j7TB3ud09629@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: markm@FreeBSD.org
In-reply-to: <200508290750.j7T7oglN058958@grunt.grondar.org> (message from
Mark Murray on Mon, 29 Aug 2005 08:50:42 +0100)
Subject: Re: [Axiom-developer] Re: axiom on Mac OSX
References: <200508290750.j7T7oglN058958@grunt.grondar.org>
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.21
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 11:14:16 -0000
Martin,
I'm somewhat confused about the FreeBSD environment.
The first issue is that FreeBSD outputs a 30 second LOUD beep before
it boots which I have not found a way to turn off. Does this happen
to you? How can I turn it off?
The second issue is that despite the fact that I asked for emacs to
be installed (I installed several times) I cannot find it anywhere.
How can I install emacs after the fact?
Third, where can I find GNU make? Originally I had written the Makefiles
so they did not care which make was used but changes have been made which
require gnu make. I thought I asked for it to be installed but can't find
it. I also asked for the Linux-compat environment to be installed but
that seems lost also.
My only guess is that there is a disk volume somewhere that contains
all these packages but isn't getting mounted.
All of my pure unix experience predates any package-handling mechanisms.
Where is a good FAQ location so I can get educated? I picked up a FreeBSD
book but it isn't really a user's guide.
In theory, given the work you've already done I should just have to compile
Axiom, make a few final tweaks to the Makefile, test the lot and we're
good to go. Unfortunately I'm still struggling with the mundane.
There is no such thing as a simple job.
Confused in PA,
Tim
From MAILER-DAEMON Mon Aug 29 08:12:20 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9iUt-0006fD-Hn
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 08:12:19 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9iUr-0006eP-Jj
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 08:12:17 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9iUo-0006cn-05
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 08:12:15 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9iSl-0005it-O7
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 08:10:07 -0400
Received: from [194.242.157.42] (helo=storm.uk.FreeBSD.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9iCE-0004Sn-I3
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 07:53:02 -0400
Received: from storm.uk.FreeBSD.org (uucp@localhost [127.0.0.1])
by storm.uk.FreeBSD.org (8.13.3/8.13.3) with ESMTP id j7TBofjF012027;
Mon, 29 Aug 2005 12:50:41 +0100 (BST)
(envelope-from mark@grondar.org)
Received: (from uucp@localhost)
by storm.uk.FreeBSD.org (8.13.3/8.12.11/Submit) with UUCP id
j7TBodSZ012026; Mon, 29 Aug 2005 12:50:39 +0100 (BST)
(envelope-from mark@grondar.org)
Received: from grunt.grondar.org (localhost [127.0.0.1])
by grunt.grondar.org (8.13.4/8.13.4) with ESMTP id j7TBliY8061081;
Mon, 29 Aug 2005 12:47:44 +0100 (BST)
(envelope-from mark@grunt.grondar.org)
Message-Id: <200508291147.j7TBliY8061081@grunt.grondar.org>
To: daly@axiom-developer.org
Subject: Re: [Axiom-developer] Re: axiom on Mac OSX
From: Mark Murray <mark@grondar.org>
From: Mark Murray <markm@FreeBSD.ORG>
Date: Mon, 29 Aug 2005 12:47:44 +0100
Sender: mark@grondar.org
Cc: axiom-developer@nongnu.org, markm@FreeBSD.ORG
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 12:12:18 -0000
root writes:
>Martin,
That would be "Mark" :-)
>I'm somewhat confused about the FreeBSD environment.
Ok...
>The first issue is that FreeBSD outputs a 30 second LOUD beep before
>it boots which I have not found a way to turn off. Does this happen to
>you? How can I turn it off?
Hmm. Sounds like something with the hardware. Check your BIOS settings
make sure your keyboard and VGA settings are OK. FreeBSD itself doesn't
beep at you during the boot.
If you let me know at which part of the boot process this happens, I can
try to hunt it down further.
>The second issue is that despite the fact that I asked for emacs to be
>installed (I installed several times) I cannot find it anywhere. How
>can I install emacs after the fact?
All the third-party/optional software is installed in /usr/local
and /usr/X11R6, so make sure you have /usr/local/[s]bin and
/usr/X11R6/[sb]in in your path.
Also check out "man 7 hier" to see how the system is layed out.
>Third, where can I find GNU make? Originally I had written the
>Makefiles so they did not care which make was used but changes
>have been made which require gnu make. I thought I asked for it to
>be installed but can't find it. I also asked for the Linux-compat
>environment to be installed but that seems lost also.
Gnu make would be "gmake" in /usr/local/bin
>My only guess is that there is a disk volume somewhere that contains
>all these packages but isn't getting mounted.
Nope :-). just a path problem.
>All of my pure unix experience predates any package-handling
>mechanisms.
Yeah. In the good old days, we all had to DIY this sort of stuff. ;-)
>Where is a good FAQ location so I can get educated? I picked up a
>FreeBSD book but it isn't really a user's guide.
Sure - http://www.freebsd.org/doc/en_US.ISO8859-1/books/faq/index.html
>In theory, given the work you've already done I should just have to
>compile Axiom, make a few final tweaks to the Makefile, test the lot
>and we're good to go. Unfortunately I'm still struggling with the
>mundane.
Steep curve at the beginning, but once you've sorted out the (not very
many) niggles, you'll find that *BSD is a very clean system (I hope!).
>There is no such thing as a simple job.
Ain't that the truth!
M
--
Mark R V Murray
What is the most interesting question you have asked?
What, if any, was the answer?
From MAILER-DAEMON Mon Aug 29 09:18:24 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9jWp-0000h0-Ps
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 09:18:23 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9jWn-0000g2-1A
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:18:21 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9jWk-0000ed-M6
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:18:19 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9jWk-0000eC-GF
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:18:18 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9jUZ-0002O4-SC
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:16:04 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TDDewl000935;
Mon, 29 Aug 2005 08:13:40 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050829081340-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 08:13:40 -0500
Cc:
Subject: [Axiom-developer] [#115 color highlighting of Axiom compiler
output]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 13:18:21 -0000
Changes http://www.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput#msg20050829081340-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 09:48:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9k0M-0000bK-Lb
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 09:48:54 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9k0H-0000aW-AO
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:48:49 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9k05-0000aA-Ba
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:48:40 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9jzi-0000HZ-R9
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:48:14 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9ja1-0002pz-RK
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:21:42 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TDJKwl002373;
Mon, 29 Aug 2005 08:19:20 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050829081919-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 08:19:20 -0500
Cc:
Subject: [Axiom-developer] [#115 color highlighting of Axiom compiler
output] compiler output is folded
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 13:48:49 -0000
Changes http://www.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput/diff
--
In addition to being shaded lightgrey, the compiler output is now
also "folded", i.e. the output is collapsed to a single header line.
You will notice a + sign in from the word 'axiom' on the right hand
side of the header. Clicking the + will display the compiler output.
The '+ axiom' turns to '- axiom'. If you click the - then the
compiler output will be hidden.
Note also the +/- menu items at the top of the page. Clicking + will
expand all folded output. Clicking - will hide it all.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/115ColorHighlightingOfAxiomCompilerOutput#msg20050829081919-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 09:53:37 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9k4v-0002Qm-06
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 09:53:37 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9k4R-000224-J5
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:53:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9k4K-0001wD-7D
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:53:02 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9jzZ-0000HZ-PJ
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:48:05 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9jbV-0002yX-AH
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:23:13 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TDKrwl002632;
Mon, 29 Aug 2005 08:20:53 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050829082053-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 08:20:53 -0500
Cc:
Subject: [Axiom-developer] [FunctionalMapping]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 13:53:36 -0000
Changes http://www.axiom-developer.org/zope/mathaction/FunctionalMapping/diff
--
??changed:
-\begin{axiom}
\begin{spad}
??changed:
-\end{axiom}
\end{spad}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/FunctionalMapping#msg20050829082053-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 09:57:31 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9k8f-00055M-9E
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 09:57:29 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9k8c-00053w-4N
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:26 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9k8Z-00052d-9G
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:24 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9k8Z-00051h-2M
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:23 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9k5N-0005Hr-Pg
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:54:06 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TDpgwl009997;
Mon, 29 Aug 2005 08:51:42 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050829085141-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 08:51:42 -0500
Cc:
Subject: [Axiom-developer] [#201 New issue categories for Aldor] Aldor bug
report form
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 13:57:26 -0000
Changes http://page.axiom-developer.org/zope/mathaction/201NewIssueCategoriesForAldor/diff
--
To submit bug reports directly to the Aldor developers see:
http://www.aldor.org/bugreport.html
--
forwarded from http://page.axiom-developer.org/zope/mathaction/201NewIssueCategoriesForAldor#msg20050829085141-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 09:57:50 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9k8z-0005Ce-OA
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 09:57:50 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9k8s-00059h-1K
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:42 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9k8m-000586-8R
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:37 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9k8l-00051h-QV
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:35 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9k03-0004tC-55
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:48:35 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TDkDwl008752;
Mon, 29 Aug 2005 08:46:13 -0500
From: mathaction@axiom-developer.org (billpage)
To: mathaction@axiom-developer.org
Message-ID: <20050829084613-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 08:46:13 -0500
Cc:
Subject: [Axiom-developer] [#201 New issue categories for Aldor]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 13:57:43 -0000
Changes http://page.axiom-developer.org/zope/mathaction/201NewIssueCategoriesForAldor/diff
--
??changed:
-Note: "Aldor:http://www.aldor.org is not open source but access to source
Note: "Aldor":http://www.aldor.org is not open source but access to source
--
forwarded from http://page.axiom-developer.org/zope/mathaction/201NewIssueCategoriesForAldor#msg20050829084613-0500@page.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 09:57:53 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9k92-0005DY-U9
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 09:57:53 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9k8u-0005CC-Mc
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9k8r-0005Ar-Vl
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9k8q-00051h-5P
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:57:40 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9jz0-0004kz-8I
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 09:47:30 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TDj4wl008633;
Mon, 29 Aug 2005 08:45:05 -0500
From: mathaction@axiom-developer.org (anonymous)
To: mathaction@axiom-developer.org
Message-ID: <20050829084504-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 08:45:04 -0500
Cc:
Subject: [Axiom-developer] [#201 New issue categories for Aldor] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 13:57:45 -0000
Changes http://www.axiom-developer.org/zope/mathaction/201NewIssueCategoriesForAldor/diff
--
I have added two new categories to support Aldor:
- Aldor Library Compiler
Report problems with using Aldor as a library compiler for Axiom
- Aldor Standalone Compiler
Report problems with using Aldor as a stand alone compiler
independent of Axiom
Note: "Aldor:http://www.aldor.org is not open source but access to source
code is by request. Contact: Laurentiu Dragan ldragan@scl.csd.uwo.ca
or Cosmin Oancea coancea@scl.csd.uwo.ca
--
forwarded from http://www.axiom-developer.org/zope/mathaction/201NewIssueCategoriesForAldor#msg20050829084504-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 13:00:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9mzd-0000yV-Bp
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 13:00:21 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9mwj-0007r2-Gm
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 12:57:21 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9mwh-0007q4-Cs
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 12:57:20 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9mwh-0007pX-4g
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 12:57:19 -0400
Received: from [195.41.46.235] (helo=pfepa.post.tele.dk)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9ms9-0001pt-DN
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 12:52:37 -0400
Received: from [10.0.0.90] (0x503e5363.hrnxx2.adsl-dhcp.tele.dk [80.62.83.99])
by pfepa.post.tele.dk (Postfix) with ESMTP id 694C447FE98
for <axiom-developer@nongnu.org>; Mon, 29 Aug 2005 18:49:59 +0200 (CEST)
Message-ID: <43133CB9.3020002@soegaard.net>
Date: Mon, 29 Aug 2005 18:50:01 +0200
From: =?ISO-8859-1?Q?Jens_Axel_S=F8gaard?= <jensaxel@soegaard.net>
User-Agent: Mozilla Thunderbird 1.0.2 (Windows/20050317)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: axiom-developer@nongnu.org
References: <43123731.7020106@soegaard.net>
<17170.50973.133261.616524@seam101.local>
In-Reply-To: <17170.50973.133261.616524@seam101.local>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: quoted-printable
X-Mailman-Approved-At: Mon, 29 Aug 2005 13:00:20 -0400
Subject: [Axiom-developer] Bug report
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 16:57:21 -0000
I belive the following session must be due to a bug in the compiler:
(1) -> firstNegative(l) =3D=3D first(remove( x +-> x>=3D0, l))
Type: Void
(2) -> firstNegative([1,2,0,-3,4])
Compiling function firstNegative with type List Integer -> Integer
Segmentation fault
The same happens in Windows.
--=20
Jens Axel S=F8gaard
From MAILER-DAEMON Mon Aug 29 13:57:29 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9nsv-0005n1-E7
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 13:57:29 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9nst-0005mN-I2
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 13:57:27 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9nsq-0005kq-RL
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 13:57:26 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9nsq-0005k9-37
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 13:57:24 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9noa-0005nr-Td
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 13:53:01 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7THoWwl007198;
Mon, 29 Aug 2005 12:50:32 -0500
From: mathaction@axiom-developer.org (=?ISO-8859-1?Q?Jens_Axel_S=F8gaard?=)
To: mathaction@axiom-developer.org
Message-ID: <43134712.3030907@soegaard.net>
In-reply-to: <17170.50973.133261.616524@seam101.local>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 12:50:32 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] Lexicographic order
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 17:57:28 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Hi Martin,
> Although I'm not 100% sure what lexorder? ought to do exactly, you
> might want to notice the following:
>
> the first matching type the interpreter finds for [x,y,z] is
>
> (13) -> [x,y,z]
>
> (13) [x,y,z]
> Type: List OrderedVariableList
[x,y,z]
>
> which means that in sort([x,z,y]) you are using the order imposed by
> OrderedVariableList [x,y,z], which is z < y < x.
Ah!
> If you say
>
> sort([x,z,y]::List Symbol), you will get the expected output.
That worked.
> I'm not totally sure how you can find out what ordering a domain uses.
> But very likely, if its name doesn't contain something like "Ordered",
> it is the usual lexicographic order.
Part of my problem was that I had to polynomials, which might be belong
to polynomial rings over different variables. I am probably not going
to use lexorder?, I am just trying to get used to the Axiom way of
doing things. Fortunately it feels very Lispy to me (if it weren't for
the fact that tail recursion wasn't supported, I'd had said Schemy).
Lexorder examines the difference of exponent vectors of the multivariate
polynomials p and q. If the leftmost non-zero entry is positive, then p>q.
lexorder?(p,q) ==
if empty?(variables(p))
then return ~empty?(variables(q))
else
vars := sort(members(union(set(variables(p)),
set(variables(q))))::List Symbol)
a := vector(members(degree( p::DMP(vars,?) )))
b := vector(members(degree( q::DMP(vars,?) )))
n := select( x +-> ~zero?(x), members(a-b))
if empty?(n)
then return false
else return positive?(first(n))
--
Jens Axel Sgaard
_______________________________________________
Axiom-mail mailing list
Axiom-mail@nongnu.org
http://lists.nongnu.org/mailman/listinfo/axiom-mail
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg43134712.3030907@soegaard.net
From MAILER-DAEMON Mon Aug 29 14:33:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9oRL-0006F1-Io
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 14:33:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9oKA-0004pQ-6Q
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:25:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9oK0-0004iY-99
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:25:28 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9oJu-0004dH-JF
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:25:22 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9o2v-0006lY-0Z
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:07:49 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TI5Mwl012235;
Mon, 29 Aug 2005 13:05:22 -0500
From: mathaction@axiom-developer.org (William Sit)
To: mathaction@axiom-developer.org
Message-ID: <43134E68.977BD9F7@cunyvm.cuny.edu>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 13:05:22 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] [Axiom-mail] Lexicographic order
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 18:33:01 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Jens Axel Sgaard wrote:
> Part of my problem was that I had to polynomials, which might be belong
> to polynomial rings over different variables. I am probably not going
> to use lexorder?,
>
For multivariate polynomial domains:
DMP uses lexicographic order of variables
HDMP uses degree reverse lex
GDMP uses any order function you provide
SMP uses order of the variable set (unmixed)
POLY same as SMP using order in Symbol
All are built-in. Please check Axiom book or hyperdoc for details.
William
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg43134E68.977BD9F7@cunyvm.cuny.edu
From MAILER-DAEMON Mon Aug 29 14:54:25 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9om1-00044G-AW
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 14:54:25 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9olR-0003tF-Gx
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:51 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9olB-0003nX-PL
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9olB-0003jI-LK
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:33 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9obW-0000WJ-9B
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:43:34 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TIf4wl021612;
Mon, 29 Aug 2005 13:41:05 -0500
From: mathaction@axiom-developer.org (unknown)
To: mathaction@axiom-developer.org
Message-ID: <20050829134103-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 13:41:04 -0500
Cc:
Subject: [Axiom-developer] [#196 )set functions compile on] Still another
manifestation of )se fu co on
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 18:54:24 -0000
Changes http://www.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn/diff
--
On Mon, 2005-08-29 at 18:50 +0200, Jens Axel Søgaard wrote:
I belive the following session must be due to a bug in the compiler:
>
> (1) -> firstNegative(l) == first(remove( x +-> x>=0, l))
> Type: Void
> (2) -> firstNegative([1,2,0,-3,4])
> Compiling function firstNegative with type List Integer -> Integer
>
> Segmentation fault
>
>
> The same happens in Windows.
>
--
forwarded from http://www.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn#msg20050829134103-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 14:59:31 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9olY-0003wX-I7
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 14:53:56 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9olK-0003s7-Vr
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:46 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9ol8-0003lC-Nf
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:32 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9ol8-0003jI-FN
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:30 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9oe0-0000eH-Ds
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:46:08 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TIhfwl022078;
Mon, 29 Aug 2005 13:43:41 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050829134341-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 13:43:41 -0500
Cc:
Subject: [Axiom-developer] [#196 )set functions compile on]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 18:53:52 -0000
Changes http://www.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn/diff
--
??changed:
-I belive the following session must be due to a bug in the compiler:
->
-> (1) -> firstNegative(l) == first(remove( x +-> x>=0, l))
-> Type: Void
-> (2) -> firstNegative([1,2,0,-3,4])
-> Compiling function firstNegative with type List Integer -> Integer
->
-> Segmentation fault
->
->
-> The same happens in Windows.
->
I belive the following session must be due to a bug in the compiler::
(1) -> firstNegative(l) == first(remove( x +-> x>=0, l))
Type: Void
(2) -> firstNegative([1,2,0,-3,4])
Compiling function firstNegative with type List Integer -> Integer
Segmentation fault
The same happens in Windows.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn#msg20050829134341-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 14:59:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9olV-0003wR-QQ
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 14:53:54 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9olK-0003pd-VU
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:46 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9ol6-0003jL-0G
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:31 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9ol5-0003jI-SE
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:53:27 -0400
Received: from [209.226.175.184] (helo=tomts22-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9oWo-0000I3-Nu
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 14:38:42 -0400
Received: from [192.168.0.100] ([207.236.11.156]) by tomts22-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP id
<20050829183621.VGXZ21470.tomts22-srv.bellnexxia.net@[192.168.0.100]>;
Mon, 29 Aug 2005 14:36:21 -0400
Subject: Re: [Axiom-developer] Bug report
From: Bill Page <bill.page1@sympatico.ca>
To: Jens Axel =?ISO-8859-1?Q?S=F8gaard?= <jensaxel@soegaard.net>
In-Reply-To: <43133CB9.3020002@soegaard.net>
References: <43123731.7020106@soegaard.net>
<17170.50973.133261.616524@seam101.local>
<43133CB9.3020002@soegaard.net>
Content-Type: text/plain; charset=utf-8
Date: Mon, 29 Aug 2005 14:35:54 -0400
Message-Id: <1125340554.5130.5.camel@localhost.localdomain>
Mime-Version: 1.0
X-Mailer: Evolution 2.0.4 (2.0.4-6)
Content-Transfer-Encoding: 8bit
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 18:53:50 -0000
Jens,
This is another example of the known problem with the current
open source version of Axiom. A work-a-round is to use the
commend:
)set functions compile on
before using anonymous functions like: x +-> x>=0
See the issue report at:
http://www.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn
[wspage@localhost axiom--main--1]$ AXIOMsys
AXIOM Computer Algebra System
Version: Axiom 3.6 (June 2005)
Timestamp: Monday July 18, 2005 at 13:13:36
-----------------------------------------------------------------------------
Issue )copyright to view copyright notices.
Issue )summary for a summary of useful system commands.
Issue )quit to leave AXIOM and return to shell.
-----------------------------------------------------------------------------
Re-reading compress.daase Re-reading interp.daase
Re-reading operation.daase
Re-reading category.daase
Re-reading browse.daase
(1) -> )se fu co on
(1) -> firstNegative(l) == first(remove( x +-> x>=0, l))
Type: Void
(2) -> firstNegative([1,2,0,-3,4])
Compiling function firstNegative with type List Integer -> Integer
(2) - 3
Type: Integer
(3) ->
------
Regards,
Bill Page.
On Mon, 2005-08-29 at 18:50 +0200, Jens Axel Søgaard wrote:
> I belive the following session must be due to a bug in the compiler:
>
> (1) -> firstNegative(l) == first(remove( x +-> x>=0, l))
> Type: Void
> (2) -> firstNegative([1,2,0,-3,4])
> Compiling function firstNegative with type List Integer -> Integer
>
> Segmentation fault
>
>
> The same happens in Windows.
>
From MAILER-DAEMON Mon Aug 29 15:24:26 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9pF4-0004MP-JQ
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 15:24:26 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9pEu-0004Kc-Mg
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:24:17 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9pEn-0004GI-Sb
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:24:13 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9pEk-0004CK-GR
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:24:06 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9p4R-0003GR-NA
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:13:28 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TJAuwl030455;
Mon, 29 Aug 2005 14:10:56 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050829141056-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 14:10:56 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 19:24:21 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-1. Make sure you have the most up to date version of gnu make
-
- make --version
- GNU Make 3.80
1. Make sure you have the most up to date version of gnu make::
make --version
GNU Make 3.80
??changed:
-5. Update your Axiom source code to Patch-44 (or greater):
5. Update your Axiom source code to Patch-44 (or greater)::
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050829141056-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 15:28:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9pJS-00058f-GK
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 15:28:58 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9pJO-000577-W8
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:28:55 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9pJJ-000549-0S
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:28:50 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9pJI-000515-SX
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:28:48 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9pDP-0003ow-3a
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:22:43 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TJKEwl032339;
Mon, 29 Aug 2005 14:20:14 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050829142014-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 14:20:14 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 19:28:56 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
- 3. touch ../../int/aldor/dep_spad.stamp
-
- 4. document Make.functions.pamphlet
-
- 5. make 2>&1 | tee aldor.log
3. make
make stops with an error message. The next two step corrects the problem.
4. touch ../../int/aldor/dep_spad.stamp
5. document Make.functions.pamphlet
6. make 2>&1 | tee aldor.log
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050829142014-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 15:59:06 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9pmb-0003Ne-7i
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 15:59:05 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9pmW-0003Lf-Mn
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:59:00 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9pmT-0003KR-5d
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:58:58 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9pmS-0003J0-Tu
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:58:57 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9piV-0005hh-LC
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 15:54:51 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TJqLwl008005;
Mon, 29 Aug 2005 14:52:21 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050829145220-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 14:52:20 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 19:59:01 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
- make --version
$ make --version
??changed:
-2. Install the Java development kit JDK
2. Install the Java development kit JDK:
++added:
It may be necessary to adjust symbolic links or the PATH to point
to the correct version of java::
$ ls -l `which java`
lrwxrwxrwx 1 root root 30 Jun 3 22:00 /usr/bin/java -> /usr/java/jre1.5.0_03/bin/java
$ javac -version
$ javac 1.5.0_03
??changed:
- cd axiom--main--1
- tla update
$ cd axiom--main--1
$ tla update
??changed:
- patch -p 1 < ~/aldor.diff
$ patch -p 1 < ~/aldor.diff
??changed:
- ./configure
$ ./configure
??changed:
- make
$ make
??changed:
- cd src
- tar xzvf ~/src_aldor2.tgz
-
-9. Build the Aldor interface using the following commands:
-
- 1. cd aldor
-
- 2. document Makefile.pamphlet
-
- 3. make
-
- make stops with an error message. The next two step corrects the problem.
-
- 4. touch ../../int/aldor/dep_spad.stamp
-
- 5. document Make.functions.pamphlet
-
- 6. make 2>&1 | tee aldor.log
$ cd src
$ tar xzvf ~/src_aldor2.tgz
9. Build the Aldor interface
Issue the following commands::
$ cd aldor
$ document Makefile.pamphlet
$ make
make stops with an error message. The next two steps correct the problem::
$ touch ../../int/aldor/dep_spad.stamp
$ document Make.functions.pamphlet
Now complete build of the Aldor interface::
$ make 2>&1 | tee aldor.log
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050829145220-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 18:27:25 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9s69-00007o-Bp
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 18:27:25 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9s4D-0008QN-7V
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 18:25:25 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9s3p-0008Hc-Sm
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 18:25:05 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9s3p-0008GW-5o
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 18:25:01 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9rz5-0006zt-N5
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 18:20:07 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7TMHYwl012264;
Mon, 29 Aug 2005 17:17:34 -0500
From: mathaction@axiom-developer.org (root)
To: mathaction@axiom-developer.org
Message-ID: <200508292214.j7TMEQg09871@localhost.localdomain>
In-reply-to: <43134712.3030907@soegaard.net> (mathaction@axiom-developer.org)
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 17:17:34 -0500
Cc:
Subject: [Axiom-developer] [Axiom-mail] [Axiom-mail] Lexicographic order
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Mon, 29 Aug 2005 22:27:22 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomMail/diff
--
Actually, tail recursion is supported automatically.
Tim
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomMail#msg200508292214.j7TMEQg09871@localhost.localdomain
From MAILER-DAEMON Mon Aug 29 21:59:46 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9vPe-0004Es-8V
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 21:59:46 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9vPb-0004D9-MG
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:59:43 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9vPX-0004CQ-FZ
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:59:42 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9vOC-00037c-2p
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:58:16 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9v5b-0002Rg-1a
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:39:03 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7U1aOwl028694;
Mon, 29 Aug 2005 20:36:25 -0500
From: mathaction@axiom-developer.org (daly)
To: mathaction@axiom-developer.org
Message-ID: <20050829203624-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 20:36:24 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 01:59:44 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
- If not, then upgrade your version of make or linux first.
If not, then upgrade your version of "make":http://savannah.gnu.org/projects/make or linux first.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050829203624-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 22:00:08 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9vQ0-0004Pq-2T
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 22:00:08 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9vPo-0004M8-Uc
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:59:58 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9vPi-0004HM-VK
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:59:51 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9vPh-0004FU-Fd
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:59:49 -0400
Received: from [24.154.1.22] (helo=mx-3.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9vNZ-0003WB-0d
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:57:37 -0400
Received: from mua-3.zoominternet.net (mua-3.zoominternet.net [24.154.1.46])
by mx-3.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7U1t6Sd000705;
Mon, 29 Aug 2005 21:55:06 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-3.zoominternet.net (Postfix) with ESMTP id 67CD37F406;
Mon, 29 Aug 2005 21:54:59 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7U1qEC13551;
Mon, 29 Aug 2005 21:52:14 -0400
Date: Mon, 29 Aug 2005 21:52:14 -0400
Message-Id: <200508300152.j7U1qEC13551@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: bill.page1@sympatico.ca, peter.broadbery@ntlworld.com
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.22
Cc: axiom-developer@nongnu.org, aldor-l@aldor.org
Subject: [Axiom-developer] aldor for axiom
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 02:00:05 -0000
Bill, Peter,
As a practical matter we can't expect axiom users to upgrade both make
and java just to build Axiom. I'm following the directions you put on
the AldorForAxiom page just to verify that I understand the process.
I need to rebuild the machinery so it works with any version of make
and doesn't require java. It's been a standing goal (so far achieved)
that you can build axiom on a reasonable linux distro by just typing
'make'. Virtually all of the distros I have distribute pre 3.8 makes
it seems.
And since it seems we can't distribute the aldor binaries with Axiom
the whole aldor install is going to require the user to fetch aldor
(probably into the zips directory) and then
make aldor
Comments? Complaints?
t
From MAILER-DAEMON Mon Aug 29 22:00:43 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9vQZ-0004cP-0s
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 22:00:43 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9vQW-0004bE-8h
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:00:40 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9vQU-0004al-Pv
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:00:39 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9vO8-00037c-WA
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:58:13 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9v7m-0002V9-EI
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:41:18 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7U1chwl029652;
Mon, 29 Aug 2005 20:38:43 -0500
From: mathaction@axiom-developer.org (daly)
To: mathaction@axiom-developer.org
Message-ID: <20050829203843-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 20:38:43 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 02:00:41 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-1. Make sure you have the most up to date version of gnu make::
1. Make sure you have the most up to date version of gnu "make":http://savannah.gnu.org/projects/make ::
??changed:
- If not, then upgrade your version of "make":http://savannah.gnu.org/projects/make or linux first.
If not, then upgrade your version of make or linux first.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050829203843-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 22:02:05 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9vRs-0005DZ-Q3
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 22:02:04 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9vRq-0005CK-A9
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:02:02 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9vRn-0005AR-3g
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:02:00 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9vRm-00059G-9W
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:01:58 -0400
Received: from [24.154.1.24] (helo=mx-5.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9vOx-0003n5-RP
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 21:59:03 -0400
Received: from mua-4.zoominternet.net (mua-4.zoominternet.net [24.154.1.47])
by mx-5.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7U1uPca021049;
Mon, 29 Aug 2005 21:56:27 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-4.zoominternet.net (Postfix) with ESMTP id 7D7037F403;
Mon, 29 Aug 2005 21:56:24 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7U1req13555;
Mon, 29 Aug 2005 21:53:40 -0400
Date: Mon, 29 Aug 2005 21:53:40 -0400
Message-Id: <200508300153.j7U1req13555@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: bill.page1@sympatico.ca, peter.broadbery@ntlworld.com
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.24
Cc: axiom-developer@nongnu.org, aldor-l@aldor.org
Subject: [Axiom-developer] aldor for axiom
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 02:02:03 -0000
Bill, Peter,
Also, I have javac 1.5.0_04. Can I assume you don't actually REQUIRE
javac 1.5.0_03?
t
From MAILER-DAEMON Mon Aug 29 22:25:20 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9voO-0001kG-0D
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 22:25:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9voA-0001eY-Tf
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:25:08 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9vo3-0001aQ-LZ
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:25:02 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9vo3-0001Zj-5c
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:24:59 -0400
Received: from [24.154.1.24] (helo=mx-5.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9vkr-00052r-FS
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:21:41 -0400
Received: from mua-4.zoominternet.net (mua-4.zoominternet.net [24.154.1.47])
by mx-5.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7U2J6Sw016206;
Mon, 29 Aug 2005 22:19:06 -0400
Received: from localhost.localdomain (acs-72-23-17-3.zoominternet.net
[72.23.17.3])
by mua-4.zoominternet.net (Postfix) with ESMTP id B34847F405;
Mon, 29 Aug 2005 22:19:05 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7U2GM213605;
Mon, 29 Aug 2005 22:16:22 -0400
Date: Mon, 29 Aug 2005 22:16:22 -0400
Message-Id: <200508300216.j7U2GM213605@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: bill.page1@sympatico.ca, peter.broadbery@ntlworld.com
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.24
Cc: axiom-developer@nongnu.org, aldor-l@aldor.org
Subject: [Axiom-developer] patches
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 02:25:13 -0000
Peter,
I don't see any obvious reason why your patches can't be permanently
applied to the axiom sources. Did I miss something that would break
if aldor is not around?
Tim
From MAILER-DAEMON Mon Aug 29 22:26:54 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9vpu-00027N-2g
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 22:26:54 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9vps-00026w-Pq
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:26:52 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9vpq-00025l-37
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:26:51 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9vpp-00025P-R6
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:26:49 -0400
Received: from [209.226.175.184] (helo=tomts22-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9vnO-0005Lx-Ko
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:24:19 -0400
Received: from asus ([207.236.11.156]) by tomts22-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP
id <20050830022152.ABE21470.tomts22-srv.bellnexxia.net@asus>;
Mon, 29 Aug 2005 22:21:52 -0400
From: <bill.page1@sympatico.ca>
To: <daly@axiom-developer.org>,
<peter.broadbery@ntlworld.com>
Date: Mon, 29 Aug 2005 22:21:30 -0400
Message-ID: <002301c5ad09$8fc8ce60$6400a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook, Build 10.0.2627
In-Reply-To: <200508300152.j7U1qEC13551@localhost.localdomain>
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180
Importance: Normal
Cc: axiom-developer@nongnu.org, aldor-l@aldor.org
Subject: [Axiom-developer] RE: [Aldor-l] aldor for axiom
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 02:26:53 -0000
Tim wrote:
>
> As a practical matter we can't expect axiom users to upgrade
> both make and java just to build Axiom. I'm following the
> directions you put on the AldorForAxiom page just to verify
> that I understand the process.
Great.
>
> I need to rebuild the machinery so it works with any version of
> make and doesn't require java. It's been a standing goal (so far
> achieved) that you can build axiom on a reasonable linux distro by
> just typing 'make'. Virtually all of the distros I have distribute
> pre 3.8 makes it seems.
make 3.8 was released in 2002. I wonder why 3.79.x is still so
common?
Upgrading to make 3.8 seems to be as simple as download, configure,
make ...
Since Peter claims his java code is "simple" perhaps it is possible to
use GNU java (gcj). That is easily available on most linux distros.
Another possibility would be to use Peter's java program to create
a static list of dependencies which we can then just include in
the axiom build files.
>
> And since it seems we can't distribute the aldor binaries with Axiom
> the whole aldor install is going to require the user to fetch aldor
> (probably into the zips directory) and then
> make aldor
>
That makes sense.
Bill Page.
From MAILER-DAEMON Mon Aug 29 22:37:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9w00-0003Be-Qs
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 22:37:20 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9voY-0001ot-0n
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:25:30 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9voI-0001hS-9Z
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:25:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9voG-0001Zj-JC
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:25:12 -0400
Received: from [209.226.175.54] (helo=tomts10-srv.bellnexxia.net)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1E9vdu-0004kl-Tx
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 22:14:31 -0400
Received: from asus ([207.236.11.156]) by tomts10-srv.bellnexxia.net
(InterMail vM.5.01.06.10 201-253-122-130-110-20040306) with ESMTP
id <20050830021206.RCKC26102.tomts10-srv.bellnexxia.net@asus>;
Mon, 29 Aug 2005 22:12:06 -0400
From: <bill.page1@sympatico.ca>
To: <daly@axiom-developer.org>,
<peter.broadbery@ntlworld.com>
Date: Mon, 29 Aug 2005 22:11:47 -0400
Message-ID: <002201c5ad08$3394caa0$6400a8c0@asus>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook, Build 10.0.2627
In-Reply-To: <200508300153.j7U1req13555@localhost.localdomain>
X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180
Importance: Normal
Cc: axiom-developer@nongnu.org, aldor-l@aldor.org
Subject: [Axiom-developer] RE: aldor for axiom
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 02:37:19 -0000
> Also, I have javac 1.5.0_04. Can I assume you don't actually REQUIRE
> javac 1.5.0_03?
Yes. In fact I am not 100% sure that it is Sun's JDK 1.5.x that is
required but I have verified that it works. Peter never said exactly
what java compiler he is using.
It would be nice if one could use the GNU gcj compiler. But my first
attempt to do that failed so I assumed he was talking about Sun's java.
From MAILER-DAEMON Mon Aug 29 23:26:52 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9wlv-0004N3-9Z
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 23:26:51 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9wlG-0004Bw-LQ
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:26:12 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9wl6-00045r-Sa
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:26:02 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9wl6-00040s-Al
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:26:00 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9wad-0008B9-Sw
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:15:12 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7U3CYwl018847;
Mon, 29 Aug 2005 22:12:34 -0500
From: mathaction@axiom-developer.org (daly)
To: mathaction@axiom-developer.org
Message-ID: <20050829221234-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 22:12:34 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 03:26:16 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
- "src_aldor2.tgz":src_aldor2.tgz
"src_aldor2.tgz":src_aldor2.tgz (despite the name this file is not compressed, only tarred)
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050829221234-0500@www.axiom-developer.org
From MAILER-DAEMON Mon Aug 29 23:52:03 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1E9xAG-0000lw-S8
for mharc-axiom-developer@gnu.org; Mon, 29 Aug 2005 23:52:01 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1E9xA7-0000h1-GM
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:51:51 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1E9xA0-0000dE-H8
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:51:46 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1E9xA0-0000cQ-ED
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:51:44 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1E9x7F-0001Za-2I
for axiom-developer@nongnu.org; Mon, 29 Aug 2005 23:48:53 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7U3kEwl026950;
Mon, 29 Aug 2005 22:46:14 -0500
From: mathaction@axiom-developer.org (daly)
To: mathaction@axiom-developer.org
Message-ID: <20050829224614-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Mon, 29 Aug 2005 22:46:14 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 03:51:55 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
- "src_aldor2.tgz":src_aldor2.tgz (despite the name this file is not compressed, only tarred)
"src_aldor2.tgz":src_aldor2.tgz
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050829224614-0500@www.axiom-developer.org
From MAILER-DAEMON Tue Aug 30 04:59:53 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EA1y0-0001kX-Tx
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 04:59:41 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EA1xa-0001Ul-8d
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 04:59:16 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EA1wz-0001BI-2c
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 04:58:40 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EA1wK-0000iE-Od
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 04:57:56 -0400
Received: from [80.91.229.2] (helo=ciao.gmane.org)
by monty-python.gnu.org with esmtp (TLS-1.0:RSA_AES_128_CBC_SHA:16)
(Exim 4.34) id 1EA1sq-0004QE-O0
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 04:54:20 -0400
Received: from root by ciao.gmane.org with local (Exim 4.43)
id 1EA1p2-0000WG-61
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 10:50:24 +0200
Received: from 0x503e5363.hrnxx2.adsl-dhcp.tele.dk ([80.62.83.99])
by main.gmane.org with esmtp (Gmexim 0.1 (Debian))
id 1AlnuQ-0007hv-00
for <axiom-developer@nongnu.org>; Tue, 30 Aug 2005 10:50:24 +0200
Received: from jensaxel by 0x503e5363.hrnxx2.adsl-dhcp.tele.dk with local
(Gmexim 0.1 (Debian)) id 1AlnuQ-0007hv-00
for <axiom-developer@nongnu.org>; Tue, 30 Aug 2005 10:50:24 +0200
X-Injected-Via-Gmane: http://gmane.org/
To: axiom-developer@nongnu.org
From: =?UTF-8?B?SmVucyBBeGVsIFPDuGdhYXJk?= <jensaxel@soegaard.net>
Date: Tue, 30 Aug 2005 10:44:51 +0200
Lines: 22
Message-ID: <df16a1$82p$1@sea.gmane.org>
References: <43134712.3030907@soegaard.net>
<200508292214.j7TMEQg09871@localhost.localdomain>
Mime-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
X-Complaints-To: usenet@sea.gmane.org
X-Gmane-NNTP-Posting-Host: 0x503e5363.hrnxx2.adsl-dhcp.tele.dk
User-Agent: Mozilla Thunderbird 1.0.2 (Windows/20050317)
X-Accept-Language: en-us, en
In-Reply-To: <200508292214.j7TMEQg09871@localhost.localdomain>
Sender: news <news@sea.gmane.org>
Subject: [Axiom-developer] Re: [Axiom-mail] [Axiom-mail] Lexicographic order
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 08:59:32 -0000
root wrote:
> Actually, tail recursion is supported automatically.
I tried the following and ran out of stack space:
loop : INT -> INT
loop (n) == loop (n)
loop (1)
>> System error:
Invocation history stack overflow.
Is there a way to turn off the invocation history?
--
Jens Axel Søgaard
From MAILER-DAEMON Tue Aug 30 05:31:07 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EA2SQ-0004gA-Pe
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 05:31:06 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EA2SN-0004eH-GX
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 05:31:03 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EA2SI-0004bt-FM
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 05:31:01 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EA2SH-0004aK-RF
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 05:30:57 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EA2QC-0007TV-Kl
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 05:28:49 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7U9P7a2025880;
Tue, 30 Aug 2005 11:25:10 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17172.9604.44500.289674@seam101.local>
Date: Tue, 30 Aug 2005 11:23:16 +0200
To: =?UTF-8?B?SmVucyBBeGVsIFPDuGdhYXJk?= <jensaxel@soegaard.net>
Subject: Re: [Axiom-developer] Re: [Axiom-mail] [Axiom-mail] Lexicographic
order
In-Reply-To: <df16a1$82p$1@sea.gmane.org>
References: <43134712.3030907@soegaard.net>
<200508292214.j7TMEQg09871@localhost.localdomain>
<df16a1$82p$1@sea.gmane.org>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=1 Fuz1=1 Fuz2=1
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 09:31:05 -0000
> I tried the following and ran out of stack space:
>
> loop : INT -> INT
>
> loop (n) == loop (n)
>
> loop (1)
>
> >> System error:
> Invocation history stack overflow.
Although this is not a nice way for Axiom to fail, two questions:
* is this an instance of tail-recursion?
* what result would you expect?
Martin
From MAILER-DAEMON Tue Aug 30 15:52:02 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAC9H-0002Aa-Ly
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 15:51:59 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAC9A-000252-9G
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 15:51:53 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAC92-00022F-9f
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 15:51:44 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAC92-00020o-5Y
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 15:51:44 -0400
Received: from [195.41.46.236] (helo=pfepb.post.tele.dk)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAC5I-00050K-KQ
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 15:47:52 -0400
Received: from [10.0.0.90] (0x503e5363.hrnxx2.adsl-dhcp.tele.dk [80.62.83.99])
by pfepb.post.tele.dk (Postfix) with ESMTP id BF4805EE092;
Tue, 30 Aug 2005 21:44:26 +0200 (CEST)
Message-ID: <4314B71D.2090602@soegaard.net>
Date: Tue, 30 Aug 2005 21:44:29 +0200
From: =?ISO-8859-1?Q?Jens_Axel_S=F8gaard?= <jensaxel@soegaard.net>
User-Agent: Mozilla Thunderbird 1.0.2 (Windows/20050317)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: Martin Rubey <martin.rubey@univie.ac.at>
Subject: Re: [Axiom-developer] Re: [Axiom-mail] [Axiom-mail] Lexicographic
order
References: <43134712.3030907@soegaard.net> <200508292214.j7TMEQg09871@localhost.localdomain> <df16a1$82p$1@sea.gmane.org>
<17172.9604.44500.289674@seam101.local>
In-Reply-To: <17172.9604.44500.289674@seam101.local>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: quoted-printable
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 19:51:58 -0000
Martin Rubey wrote:
> > I tried the following and ran out of stack space:
> >=20
> > loop : INT -> INT
> >=20
> > loop (n) =3D=3D loop (n)
> >=20
> > loop (1)
> >=20
> > >> System error:
> > Invocation history stack overflow.
>=20
> Although this is not a nice way for Axiom to fail, two questions:
>=20
> * is this an instance of tail-recursion?
>=20
> * what result would you expect?
Hi Martin,
Yes - if tail recursion were supported, then the above would be
an infinite loop. I haven't got any complaints over the wording
of the error message.
If tail recursion is supported, the above will result in an infinite
loop.
A loose definition of a tail call is: If in the body of f, a call
to g is made in a position, where the result of the call, is to
be returned by f, then the call to g is a /tail call/.
In
summa(n) =3D=3D
if n=3D0
then 0
else n + summa(n-1)
> summa(10)
55
the call to summa is not a tail cail, since the result of calling
summa(n-1) needs to be added to n before a value can be returned.
On the other hand in:
-- a stands for accumulator
summa2(n, a) =3D=3D
if n=3D0
then a
else summa2(n-1, n+a)
> summa(10,0)
55
the result of calling summa2(n-1,n+a) is returned immediately
as the result of summa2(n,a) and is thus a tail call.
A call is /active/ if the function called hasn't returned yet.
Proper[1] tail recursion is supported, if an unbounded number
of active tail calls only use a bounded amount of stack space.
In Scheme a call summa(10000) would cause a stack overflow, just
as in Axiom, but a call summa2(10000,0) would work withput any
problems. However, in some Scheme implementations one can
turn the stack history on and off - so perhaps there is
magic switch somewhere?
See=20
<http://www.schemers.org/Documents/Standards/R5RS/HTML/r5rs-Z-H-6.html#%_=
sec_3.5>
for a more formal definition.
[1] Here "Proper Tail Recursion" is a technical term, and doesn't
mean "tail recursion done right".
--=20
Jens Axel S=F8gaard
From MAILER-DAEMON Tue Aug 30 17:12:44 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EADPP-0006Xj-Np
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 17:12:43 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EADPL-0006Ud-9G
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 17:12:39 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EADPH-0006Si-E0
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 17:12:36 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EADPG-0006RX-Hg
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 17:12:34 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EADM6-0001Rh-0O
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 17:09:19 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 203F7658BF;
Tue, 30 Aug 2005 17:06:44 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id B1A9F658B2;
Tue, 30 Aug 2005 17:06:39 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: steps towards a Maxima interface in MathAction (was:
[Axiom-developer] steps towards better TeXmacs interface)
Date: Tue, 30 Aug 2005 17:06:38 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC71DF79B@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-Has-Attach:
X-MS-TNEF-Correlator:
Thread-Topic: steps towards a Maxima interface in MathAction (was:
[Axiom-developer] steps towards better TeXmacs interface)
Thread-Index: AcWqXN1ddsNX/H+QTj6KIrJFfoY2oQDProXw
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Andrey G. Grozin" <A.G.Grozin@inp.nsk.su>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: bill.page1@synthesis.anikast.ca, axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 21:12:40 -0000
On Friday, August 26, 2005 12:33 PM Andrey G. Grozin wrote:=20
> ...=20
> Another free computer algebra system, maxima, has incorporated
> inserting of parametrized markers in the key positions of its
> output some time ago. Now it is easy to interface it to almost
> any external program: one just assigns appropriate values to the
> marker strings, and then maxima speaks the protocol required by
> this external program. Maxima developers called this "the transition
> from the stone age to the bronze age" (the idea is that using corba
> or some such thing would be the enlightment era).
>
For some time now I have been wanting to implement an interface
to Maxima in MathAction. I am not a Maxima user, although I have
installed it and played with it a little. I was hoping that someone
with more Maxima experience would come forward and offer to help
me to do this ... :)
Where would be the best place to look for a definition of these
parameterized markers in Maxima? What would you suggest as a
simple example of a program that parses Maxima output using these
markers?
The problem of interfacing with MathAction is not exactly the same
as in the case of TeXmacs. TeXmacs which starts a parallel external
session. It then sends commands, receives and formats output in a
synchronous manner while the user edits the document. In the case
of MathAction, the entire web page is edited in "text-mode" and is
only processed by an external program (such Axiom) once when the user
clicks 'Save' or 'Preview'. Since a web page consists of multiple
sections of alternating formatted text, LaTeX commands, and commands
to external programs, these sections must be collected in some
manner and then sent to the external program. The output of the
program must be parsed and separated into output sections that
correspond one-for-one with the specific input sections. Then during
the rendering of the page as HTML, MathAction replaces each of the
input sections with selected and possibly reformatted parts of the
output (e.g. LaTeX generated by Axiom).
In the case of both Axiom and Reduce I solved this problem by
constructing a .input file for each section and then running Axiom
(or Reduce) with a script that executes each .input file by a
series of )read commands. The output corresponding to each )read
command is automatically delimited by the Axiom (Reduce) prompt
sequence. So separating the output into sections is quite straight
forward. (But of course would be even easier if Axiom was specifically
designed to delimit the output in the way that Andrey suggests.)
The problem that I have with Maxima right now is that I do not
know how to run Maxima in this manner, i.e. in a "batch mode"
to process a series of input sections and then parse the output
into a series of corresponding output sections.
=20
> Axiom is still in the stone age in this respect (a more structured
> and predictable input-output). I am now trying to move it to the
> bronze age. The first (and rather obvious) place is interp/i-
> util.boot.pamphlet I renamed the procedure MKPROMPT to MKPROMPT0,
> and inserted
>=20
> $InterfaceStrings : Record(PromptPrefix:String,PromptSuffix:String)
> :=3D ['"[",'"]"]
>=20
> MKPROMPT() =3D=3D
>=20
> STRCONC($InterfaceStrings.PromptPrefix,MKPROMPT0(),
> $InterfaceStrings.PromptSuffix)
>=20
> This works, and my prompts are now in brackets (of course, this is
> just a test). The next step is to find all the other prompt-like
> things in axiom (i.e., output strings immediately preceeding user
> input). One of them is the exit confirmation, for example; I'm sure
> there are many others. Each prompt-like string should now be preceeded
> by $InterfaceStrings.PromptPrefix and followed by
> $InterfaceStrings.PromptSuffix . And this is only the first step,
> there will be, e.g., $InterfaceStrings.LatexPrefix and
> $InterfaceStrings.LatexSuffix and some other markers.
>
>From my experience with MathAction I know that it is important to be
able to efficiently and reliably parse the Axiom output to identify
and separate the LaTeX output $$ ... $$ from non-LaTeX output like
error messages and other informative messages, and also to identify
the Type: ... information. Axiom's current output format is just
barely able to support this. New $InterfaceStrings to support this
parsing would be very welcome!
> So, I have a few questions to the gurus:
>=20
> 1. What is the correct file to put the definition and initialization
> of $InterfaceStrings ?
>=20
> 2. Is there some way in which this initialisation could be made
> dependent on external conditions? For example, can I pass a
> command-line argument to AXIOMsys, and check it in boot code? Or
> check an environment variable in the boot code? At the moment,
> I know only one way to pass some information to axiom:
> .axiom.input. But it would not be a good idea for TeXmacs, for
> example, to overwrite the user's .axiom.input (if the user has one).
>
My preference would be to pass InterfaceStrings via one or more
environment variables. Reading environment variables in boot code
amounts simply to calling the corresponding lisp system function.
=20
> ...
> TeXmacs has some strange requirements of its own (e.g., using \* for
> multiplication).
This is not a "strange requirement" since one of the goals of TeXmacs
is to retain more of the mathematical semantics then what "normal"
LaTeX allows. This is the same goal that the developers of OpenMath
had in mind.
> Therefore, I want to leave the old TeX generation alone, and to
> introduce the new kind of output: texmacs. So that it will be
> possible to say=20
> )set output texmacs on
I think that this is an excellent idea. A couple of years ago
When Tim Daly and I first discussed this, Tim provided some
notes on how the )set output commands were processed in Axiom.
If you are interested, I think I could probably find them in
the axiom-developer email archives.
> OK, I can easily duplicate tex.spad.pamphlet (should this be a
> new file, texmacs.spad.pamphlet, or I just double the contents of
> tex.spad.pamphlet ?)
I think a new file is better unless you find that there is a
large overlap in the source code, i.e. same set of helper
routines etc.
> I'll rename the domain TexFormat to TexmacsFormat, and make
> the improvements I want. But what to do next?
Since this is going to be specific to TeXmacs anyway, have
you considered using TeXmacs' scheme format instead of LaTeX?
This way you can avoid the complications of the TeXmacs LaTeX
conversion.
> My (very incomplete...) understanding is that I should insert the
> necessary pieces into setvars.boot.pamphlet and setvart.boot.pamphlet
> (based on the TeX pieces, with renamings and some small changes).
Tim described some of this in his emails of two years ago on
axiom-developer.
> But setvars.boot.pamphlet says that if I change the boot code (and
> I'm going to do this), I have to translate it to lisp and insert it
> into the same file. How do I do this, exactly?
Specifically in setvars.boot.pamphlet it says:
This file contains both the {\bf boot} code and the {\bf Lisp}
code that is the result of the {\bf boot to lisp} translation.
We need to keep the translated code around so we can bootstrap
the system. In other words, we need this boot code translated
so we can build the boot translator.
{\bf NOTE WELL: IF YOU CHANGE THIS BOOT CODE YOU MUST
TRANSLATE THIS CODE TO LISP AND STORE THE RESULTING LISP
CODE BACK INTO THIS FILE.}
-------
Boot is a compiler. I presume that that lisp code that you need
to insert into this file can be generated just by compiling the
new boot code (the way it is done now in the part of the Axiom
Makefile that builds INTERPSYS. You should be able to capturing
the lisp output in the NRLIB directory. Is that right Tim?
> ...=20
> There is another possibility, which requires some thought. What if
> we send expression tree from axiom to TeXmacs as an S-expression,
> instead of serializing it via LaTeX? TeXmacs understands not only
> latex: fields, but also scheme: fields. Generating scheme syntax
> from an axiom expression may well be easier than generating LaTeX.
> Line breaking can be done on the TeXmacs side, where the necessary
> information is available (it is in principle impossible to tell,
> what is the width of a sub-expression after typesetting, without
> actually typesetting it). But this is, probably, a more long-term
> project. For now, I'd better keep as much as possible from
> the current interface, but make it more robust and less ugly.
>=20
> What do you think?
>=20
I like your last idea best. I think it would be a mistake to spend
too much effort simply tweaking the LaTeX output to make the current
interface more robust. The idea of having a )set output mode that
generates semantically rich S-expression output is very appealing
not only for use in TeXmacs but also for the work that Kai Kaminski
is doing right now with the new AxiomUI. I think that many of the
hooks that might be necessary to do this in Axiom must already be
present in Axiom since this goal is very similar to to goal that
NAG had towards the end of the commercial development of Axiom to
produce OpenMath output.
After the current (rush) phase of the Summer of Code AxiomUI project
is over at the beginning of September, I hope that Kai will have
a chance to discuss here more of what he had in mind of AxiomUI in
this regard.
Regards,
Bill Page.
From MAILER-DAEMON Tue Aug 30 19:24:01 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAFSR-0004fH-NE
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 19:24:00 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAFRa-0004RB-SS
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:23:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAFRV-0004OB-MP
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:23:03 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAFRU-0004Gi-6L
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:23:00 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAFGc-0007yF-BV
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:11:47 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 3FC0265A3C;
Tue, 30 Aug 2005 19:09:11 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 9114D65A4A;
Tue, 30 Aug 2005 19:08:56 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Tue, 30 Aug 2005 19:08:56 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A2@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
X-MS-Has-Attach:
X-MS-TNEF-Correlator:
Thread-Topic: Tail recursion (was: Lexicographic order)
Thread-Index: AcWtnOiPqupGti8tRD6812hkQ6bQ7QAGcLPg
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: =?iso-8859-1?Q?Jens_Axel_S=F8gaard?= <jensaxel@soegaard.net>,
"Martin Rubey" <martin.rubey@univie.ac.at>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Tail recursion (was: Lexicographic order)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 23:23:16 -0000
On Tuesday, August 30, 2005 3:44 PM Jens Axel S=F8gaard wrote:=20
> > >
> > > loop : INT -> INT
> > >
> > > loop (n) =3D=3D loop (n)
> > >
> > > loop (1)
> > >
> > > >> System error:
> > > Invocation history stack overflow.
> >
> Martin Rubey wrote:
> > Although this is not a nice way for Axiom to fail, two questions:
> >
> > * is this an instance of tail-recursion?
> >
> > * what result would you expect?
>=20
> Yes - if tail recursion were supported, then the above would be
> an infinite loop. I haven't got any complaints over the wording
> of the error message.
>=20
I think the example at:
http://www.axiom-developer.org/zope/mathaction/SandBoxTailRecursion
shows that something more subtle is happening here than just
tail-recursion elimination (or not).
For one thing, the call to summa(1000000) did not fail with a
"Invocation history stack overflow" as Jens predicted above
but summa2(1000000,0) did fail.
The definition::
summa(n) =3D=3D
if n=3D0
then 0
else n + summa(n-1)
is apparently treated specially by Axiom as a "recurrence
relation" and so does not produce a stack overflow.
Similarly a stack overflow does occur in this simpler case:
\begin{axiom}
loop : INT -> INT
loop (n) =3D=3D loop (n)
\end{axiom}
\begin{axiom}
loop (1)
\end{axiom}
Now let's see what happens if we tell Axiom to compile the
function (see web page above):
\begin{axiom}
)set functions compile on
\end{axiom}
\begin{axiom}
-- a stands for accumulator
summa3(n, a) =3D=3D
if n=3D0
then a
else summa3(n-1, n+a)
\end{axiom}
\begin{axiom}
summa3(1000000,0)
\end{axiom}
Now this function returns a correct value without the stack
overflow. And similarly
\begin{axiom}
loop : INT -> INT
loop (n) =3D=3D loop (n)
\end{axiom}
if called here with 'loop(1)' becomes an infinite loop.
So it seems that perhaps the tail recursion elimination only
works when the function is compiled unless it is recognized as
special case of a recurrence relation.
The message "Invocation history stack overflow" is actually generated
by gcl (gcl 2.6.6 is the lisp compiler used to build Axiom on =
MathAction).
Although the examples above seem to suggest that tail recursion
elimination is working as expected in the case where the Axiom =
interpreter
functions are compiled, a search of the web returned the following hits
which suggest that some previous versions of gcl may have had some =
problems
with tail recursion:
- https://savannah.gnu.org/task/?func=3Ddetailitem&item_id=3D788
- http://lists.gnu.org/archive/html/gcl-devel/2002-03/msg00032.html
- http://www.mail-archive.com/gcl-devel@gnu.org/msg00287.html
So maybe there is still a problem lurking out there?
Regards,
Bill Page.
From MAILER-DAEMON Tue Aug 30 19:52:53 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAFuO-0003ls-0C
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 19:52:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAFuF-0003fi-Db
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:52:43 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAFuA-0003do-Gn
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:52:40 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAFu9-0003Zt-OA
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:52:37 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAFmy-00014C-F6
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 19:45:12 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 2BC6565AD4;
Tue, 30 Aug 2005 19:42:37 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 428E465ACF;
Tue, 30 Aug 2005 19:42:35 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Tue, 30 Aug 2005 19:42:34 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A3@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-Has-Attach:
X-MS-TNEF-Correlator:
Thread-Topic: )set functions compile on
Thread-Index: AcWqhJn3h0C0J09cTGKVOqno9u2wEgDNpbuQ
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: <daly@axiom-developer.org>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] )set functions compile on
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Tue, 30 Aug 2005 23:52:46 -0000
Tim et al.,
There are some known problems in the current version of Axiom with
certain function definitions in the case of
)set functions compile off
which is the current default state. See
http://page.axiom-developer.org/zope/mathaction/196SetFunctionsCompileOn
Of course we would like to know what causes this problem and to
fix it, but the work-a-round is simply to turn it on.
On page 241 (258 of 1105) the Axiom book says:
When a function is compilable, you have the choice of whether it
is compiled to Common Lisp and then interpreted by the Common Lisp
interpreter or then further compiled from Common Lisp to machine
code. The option is controlled via )set functions compile. Issue
)set functions compile on to compile all the way to machine code.
With the default setting )set functions compile off, Axiom has its
Common Lisp code interpreted because the overhead of further
compilation is larger than the run-time of most of the functions
our users have defined. You may find that selectively turning this
option on and off will give you the best performance in your
particular application. For example, if you are writing functions
for graphics applications where hundreds of points are being
computed, it is almost certainly true that you will get the best
performance by issuing )set functions compile on.
--------
With gcl on modern computer systems function compilation does
not seem to take any noticeable amount of time. Can you think
of any good reason why
)set functions compile on
should not be the default?
Regards,
Bill Page.
From MAILER-DAEMON Tue Aug 30 20:22:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAGN7-0004Hs-My
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 20:22:33 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAGN5-0004H6-Fc
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:22:31 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAGMf-0003zx-Md
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:22:31 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAGMe-0003gp-IC
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:22:04 -0400
Received: from [195.41.46.235] (helo=pfepa.post.tele.dk)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAG35-0002K8-DI
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:01:51 -0400
Received: from [10.0.0.90] (0x503e5363.hrnxx2.adsl-dhcp.tele.dk [80.62.83.99])
by pfepa.post.tele.dk (Postfix) with ESMTP id F369147FE52;
Wed, 31 Aug 2005 01:58:52 +0200 (CEST)
Message-ID: <4314F2BB.9060100@soegaard.net>
Date: Wed, 31 Aug 2005 01:58:51 +0200
From: =?ISO-8859-1?Q?Jens_Axel_S=F8gaard?= <jensaxel@soegaard.net>
User-Agent: Mozilla Thunderbird 1.0.2 (Windows/20050317)
X-Accept-Language: en-us, en
MIME-Version: 1.0
To: bill.page1@sympatico.ca
References: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A2@Corporateex01.Corporate.drdc-rddc.gc.ca>
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A2@Corporateex01.Corporate.drdc-rddc.gc.ca>
Content-Type: text/plain; charset=ISO-8859-1; format=flowed
Content-Transfer-Encoding: quoted-printable
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: Tail recursion (was: Lexicographic order)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 00:22:31 -0000
Page, Bill wrote:
> I think the example at:
>=20
> http://www.axiom-developer.org/zope/mathaction/SandBoxTailRecursion
>=20
> shows that something more subtle is happening here than just
> tail-recursion elimination (or not).
>=20
> For one thing, the call to summa(1000000) did not fail with a
> "Invocation history stack overflow" as Jens predicted above
> but summa2(1000000,0) did fail.
>=20
> The definition::
>=20
> summa(n) =3D=3D
> if n=3D0
> then 0
> else n + summa(n-1)
>=20
> is apparently treated specially by Axiom as a "recurrence
> relation" and so does not produce a stack overflow.
Ok - I choose a bad example.
> Now let's see what happens if we tell Axiom to compile the
> function (see web page above):
>=20
> \begin{axiom}
> )set functions compile on
> \end{axiom}
>=20
> \begin{axiom}
> -- a stands for accumulator
> summa3(n, a) =3D=3D
> if n=3D0
> then a
> else summa3(n-1, n+a)
> \end{axiom}
>=20
> \begin{axiom}
> summa3(1000000,0)
> \end{axiom}
>=20
> Now this function returns a correct value without the stack
> overflow. And similarly
>=20
> \begin{axiom}
> loop : INT -> INT
> loop (n) =3D=3D loop (n)
> \end{axiom}
>=20
> if called here with 'loop(1)' becomes an infinite loop.
>=20
> So it seems that perhaps the tail recursion elimination only
> works when the function is compiled unless it is recognized as
> special case of a recurrence relation.
It does seem to work in cases, where the tail recursive call is
to the function itself.
I tried another tail recursive loop in the Octorber 2004 version:
)set functions compile on
foo : INT -> INT
bar : INT -> INT
foo (n) =3D=3D bar (n)
bar (n) =3D=3D foo (n)
foo (1)
and got a
>> System error:
Value stack overflow.
However, I am not sure the above is the correct way to define
two mutually recursive functions.
> The message "Invocation history stack overflow" is actually generated
> by gcl (gcl 2.6.6 is the lisp compiler used to build Axiom on MathActio=
n).
> Although the examples above seem to suggest that tail recursion
> elimination is working as expected in the case where the Axiom interpre=
ter
> functions are compiled, a search of the web returned the following hits
> which suggest that some previous versions of gcl may have had some prob=
lems
> with tail recursion:
>=20
> - https://savannah.gnu.org/task/?func=3Ddetailitem&item_id=3D788
>
> - http://lists.gnu.org/archive/html/gcl-devel/2002-03/msg00032.html
>=20
> - http://www.mail-archive.com/gcl-devel@gnu.org/msg00287.html
>=20
> So maybe there is still a problem lurking out there?
That depends on the Axiom interpreter/compiler. Since Common Lisp
doesn't guarantee proper tail recursion, it isn't an error that
tail recursive code can run out of stack space in GCL. Some
Common Lisp compilers make an effort to optimize som tail recursive
calls, but it is usually unsafe to rely on it.
The code from SICP (which uses Scheme) that Maguire is trying is
thus not supposed to work an all Common Lisp implementations.
--=20
Jens Axel S=F8gaard
From MAILER-DAEMON Tue Aug 30 20:56:51 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAGuI-0003WI-6e
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 20:56:50 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAGuC-0003T0-KD
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:56:44 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAGu8-0003RJ-HN
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:56:41 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAGu8-0003OV-DX
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:56:40 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAGmT-0004MN-W9
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 20:48:47 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id EF93F65BBE;
Tue, 30 Aug 2005 20:46:09 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 56F5265BB7;
Tue, 30 Aug 2005 20:46:07 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Date: Tue, 30 Aug 2005 20:46:06 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A4@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain;
charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable
X-MS-Has-Attach:
X-MS-TNEF-Correlator:
Thread-Topic: Tail recursion
Thread-Index: AcWtwCnNrCa7gJHhRNidKMptazLuQQAAjuxQ
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: =?iso-8859-1?Q?Jens_Axel_S=F8gaard?= <jensaxel@soegaard.net>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] RE: Tail recursion
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 00:56:48 -0000
On Tuesday, August 30, 2005 7:59 PM Jens Axel S=F8gaard wrote:
> ...=20
> It does seem to work in cases, where the tail recursive call is
> to the function itself.
>=20
> I tried another tail recursive loop in the Octorber 2004 version:
>=20
> )set functions compile on
> foo : INT -> INT
> bar : INT -> INT
> foo (n) =3D=3D bar (n)
> bar (n) =3D=3D foo (n)
> foo (1)
>=20
> and got a
>=20
> >> System error:
> Value stack overflow.
>=20
> However, I am not sure the above is the correct way to define
> two mutually recursive functions.
>=20
I think that what you are writing is correct. With Axiom from the
most recent Patch-44 which used gcl-2.6.6 I tried:
(3) -> )set functions compile on
(3) -> foo : INT -> INT
Type: Void
(4) -> bar : INT -> INT
Type: Void
(5) -> foo (n) =3D=3D bar (n)
Type: Void
(6) -> bar (n) =3D=3D foo (n)
Type: Void
(7) -> foo (1)
Compiling function bar with type Integer -> Integer
---------
This behaviour is odd. It should have returned either a result
or an error message. So I repeat the command.
(7) -> foo (1)
>> System error:
The function |*1;foo;1;initial| is undefined.
---------
This time I get an error message but not the one I expected.
I don't know what this message means. (Axiom is busted ... )
Let's try a slightly more complicated mutual recursion:
(7) -> foo (n) =3D=3D if n>0 then bar (n-1)+1 else 0
Compiled code for foo has been cleared.
Compiled code for bar has been cleared.
1 old definition(s) deleted for function or rule foo
Type: Void
(8) -> bar (n) =3D=3D if n>0 then foo (n-1)+1 else 0
1 old definition(s) deleted for function or rule bar
Type: Void
(9) -> foo (1)
Compiling function bar with type Integer -> Integer
Compiling function foo with type Integer -> Integer
(9) 1
Type: PositiveInteger
(10) -> foo (100)
(10) 100
Type: PositiveInteger
(11) -> foo (1000000)
>> System error:
Value stack overflow.
Here is the error message which as you suggest implies that
Axiom/GCL did not recognize this as a case where tail recursion
can be eliminated.
Even this "proper" case is apparently not recognized:
(12) -> bar2 (n,a) =3D=3D if n>0 then foo2 (n-1,n+a) else a
Type: Void
(13) -> foo2 (n,a) =3D=3D if n>0 then bar2 (n-1,n+a) else a
Type: Void
(14) -> foo2(1,0)
Compiling function bar2 with type (Integer,Integer) -> Integer
Compiling function foo2 with type (Integer,Integer) -> Integer
(14) 1
Type: PositiveInteger
(15) -> foo2(100,0)
(15) 5050
Type: PositiveInteger
(16) -> foo2(10000,0)
(16) 50005000
Type: PositiveInteger
(17) -> foo2(1000000,0)
>> System error:
Value stack overflow.
--------
So I think your caution about tail recursion elimination not being
guaranteed is well taken.
I wonder when should expect a "Value stack overflow" instead of
an "Invocation history stack overflow"?
Thanks for your comments.
Regards,
Bill Page.
From MAILER-DAEMON Tue Aug 30 22:36:39 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAISs-0005d9-Th
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 22:36:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAISq-0005cD-QP
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:36:36 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAISp-0005bU-67
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:36:36 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAIN6-0004GX-Ve
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:30:41 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAHpu-0008Ph-Ja
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 21:56:22 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7V1rSwl012956;
Tue, 30 Aug 2005 20:53:28 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050830205328-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 30 Aug 2005 20:53:28 -0500
Cc:
Subject: [Axiom-developer] [AxiomDocumentationAndCommunity]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 02:36:37 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AxiomDocumentationAndCommunity/diff
--
??changed:
-This page was renamed to Axiom Documentation. You can delete this one if no longer needed.
-
This page was renamed to [Axiom Documentation].
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AxiomDocumentationAndCommunity#msg20050830205328-0500@page.axiom-developer.org
From MAILER-DAEMON Tue Aug 30 22:56:10 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAIll-0002U6-Ec
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 22:56:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAIle-0002SI-3O
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:56:02 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAIlV-0002N2-RN
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:55:54 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAIlV-00029s-2t
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:55:53 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAITi-00027a-HJ
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:37:30 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7V2Yawl022485;
Tue, 30 Aug 2005 21:34:36 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050830213436-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 30 Aug 2005 21:34:36 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 02:56:04 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-<hr />
-Out of Date
-
- The information below is out of date and will be soon replaced
-
-Unfortunately, support for domains and packages is still buggy, but
-it's nearly working - thanks to Peter!
-
-Let's do an example! Let's assume you have Aldor installed. You then have to do
-a little setup:
-
-1. Grab the file 'axextend.lsp' from your Axiom source distribution, it should
- reside in 'lsp/ccl/src/axbase/compiler/lib'. Rename it into
- 'axextend.lsp.pamphlet' and edit its second line, such that it reads
- '\usepackage{axiom}' instead of
- '\usepackage{../../../../../src/scripts/tex/axiom}'. Then run
- 'document axextend.lsp.pamphlet', to obtain the proper lisp code. Do the same
- for the file 'foam_l.lsp', in the same directory.
-
-[152 more lines...]
More Examples
Having put the following simple domain in a file 'test.as' ::
\begin{aldor}
#include "axiom.as"
Test: with { fact: PositiveInteger -> PositiveInteger }
== add { fact(n: PositiveInteger): PositiveInteger ==
{ n <= 1 => 1;
res: PositiveInteger := 1;
while n > 1 repeat {
res := res * n;
n := n-1; }
res } }
\end{aldor}
??changed:
- )lisp (load "/home/rubey/axiom--main--1--patch-24/lsp/ccl/src/axbase/compiler/lib/foam_l.lsp")
- )lisp (load "/home/rubey/axiom--main--1--patch-24/lsp/ccl/src/axbase/compiler/lib/axextend.lsp")
- )lisp (load "/home/rubey/aldor/linux/1.0.2/lib/runtime.lsp")
- )lib test
-
- (1) -> )sh Test
- Test is a domain constructor
- Abbreviation for Test is TEST
- This constructor is exposed in this frame.
- Issue )edit test.as to see algebra source code for TEST
-
- ------------------------------- Operations --------------------------------
- fact : PositiveInteger -> PositiveInteger
-
- (1) -> fact(5)\$Test
-
- (1) 120
- Type: PositiveInteger
-
-[1 more lines...]
)co test.as
\begin{axiom}
)sh Test
\end{axiom}
\begin{axiom}
fact(5)$Test
\end{axiom}
Known Problems
On Tue, 11 Jan 2005 15:43:53 +0100 **Martin Rubey** wrote:
The following Aldor construct does not yet work in Axiom.
I just tried another example, which is in fact the reason why
I would love to have Aldor working. I did not expect it to work,
and it does not, but it works *almost*. The code is as follows:
\begin{aldor}
#include "axiom"
Test: with { f: (n: PositiveInteger) -> PrimeField(n) }
== add { f(n: PositiveInteger): PrimeField(n) ==
10::Integer::PrimeField(n) }
\end{aldor}
Note that such a construction -- the resulting domain depending on
the function parameter -- is currently illegal in Axiom. In Aldor
it is fine.
I compiled it with Aldor as usual, and then loaded it into Axiom.
As signature I got the slightly unusual:
\begin{axiom}
)di op f
\end{axiom}
and trying it out I obtained:
\begin{axiom}
f(5)$Test
\end{axiom}
which is roughly what I expected. However, to my great surprise,
if you turn on the debugger (beforehand. You always have to start
a fresh axiom because of the error I told you about in my previous
message) with::
)lisp (setq |$monitorNewWorld| t)
and thus trace::
(1) -> f(1783)$Test
the final bit reads::
protected-symbol-warn called with (NIL)..IntegerMod 1783 wants
positiveRemainder : (%,%) -> % from Integer
---->Integer----> searching op table for:
positiveRemainder : (%,%) -> % from Integer
<----#<compiled-function |INT;positiveRemainder;3$;28|> Integer
goget stuffing slot 47 of IntegerMod 1783
<------#<compiled-function |INT;positiveRemainder;3$;28|> Integer
PrimeField n activating lazy slot 8: Integer
PrimeField n activating lazy slot 9: IntegerPrimesPackage Integer
..PrimeField n wants
prime? : Integer -> Boolean from IntegerPrimesPackage Integer
---->IntegerPrimesPackage Integer----> searching op table for:
prime? : Integer -> Boolean from IntegerPrimesPackage Integer
<----#<compiled-function |PRIMES;prime?;IB;4|>(IntegerPrimesPackage,Integer)
goget stuffing slot 10 of PrimeField n
<------#<compiled-function |PRIMES;prime?;IB;4|>(IntegerPrimesPackage,Integer)
which clearly tells you, that the calculation is done alright, only the
signature interferes with success.
Any ideas?
Peter said, that it's on the interpreter side. You can read the whole
thread on
http://lists.gnu.org/archive/html/axiom-developer/2005-01/msg00154.html
Concerning his patches, Peter also pointed out that
--removed:
-Indeed, the following Aldor construct does not yet work in Axiom::
-
- #include "axiom"
-
- Test: with { f: (n: PositiveInteger) -> PrimeField(n) }
- == add { f(n: PositiveInteger): PrimeField(n) ==
- 10::Integer::PrimeField(n) }
-
-It nearly works, as one can see from a trace done with
-')lisp (setq |$monitorNewWorld| t)', but not quite... Peter said, that it's on the
-interpreter side. You can read the whole thread on
-http://lists.gnu.org/archive/html/axiom-developer/2005-01/msg00154.html
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050830213436-0500@page.axiom-developer.org
From MAILER-DAEMON Tue Aug 30 22:57:55 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAInT-0003Nk-G5
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 22:57:55 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAIlg-0002T3-EQ
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:56:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAIlY-0002MM-2a
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:55:56 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAIlU-00029s-H9
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:55:52 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAIUo-00029b-Cj
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 22:38:38 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7V2Zmwl022659;
Tue, 30 Aug 2005 21:35:48 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050830213548-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 30 Aug 2005 21:35:48 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 02:57:53 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
- - aldor "extend" does not work
-
- - The algebra defined in libaxiom.al is not current, and for it to be rebuilt
- various .as files need to be available to the build process (axextend.as and
- friends)
-
- - exported attributes from aldor domains are explicitly killed off by this
- patch (it's probably easy to fix, just no time at the moment).
-
- - Only tested the most trivial domains he could find.
-
- aldor "extend" does not work
- The algebra defined in libaxiom.al is not current, and for it to be rebuilt
various .as files need to be available to the build process (axextend.as and
friends)
- exported attributes from aldor domains are explicitly killed off by this
patch (it's probably easy to fix, just no time at the moment).
- Only tested the most trivial domains he could find.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050830213548-0500@page.axiom-developer.org
From MAILER-DAEMON Tue Aug 30 23:25:22 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAJE2-0001ID-9T
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 23:25:22 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAJBQ-0000gb-DA
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:22:41 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAJBK-0000eP-D8
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:22:34 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAJBK-0000TR-8M
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:22:34 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAIu6-0003jg-FZ
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:04:46 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7V31swl028418;
Tue, 30 Aug 2005 22:01:54 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050830220154-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Tue, 30 Aug 2005 22:01:54 -0500
Cc:
Subject: [Axiom-developer] [RandomAlgebra] (renamed)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 03:25:19 -0000
Changes http://www.axiom-developer.org/zope/mathaction/RandomAlgebra/diff
--
This page was renamed from SandBox Aldor Testing to RandomAlgebra.
--
forwarded from http://www.axiom-developer.org/zope/mathaction/RandomAlgebra#msg20050830220154-0500@www.axiom-developer.org
From MAILER-DAEMON Tue Aug 30 23:56:09 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAJhp-0001P1-58
for mharc-axiom-developer@gnu.org; Tue, 30 Aug 2005 23:56:09 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAJhn-0001NC-0P
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:56:07 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAJhl-0001Ks-3M
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:56:06 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAJeV-0007wC-Gz
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:52:43 -0400
Received: from [24.154.1.20] (helo=mx-1.zoominternet.net)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAJYX-0005bx-5s
for axiom-developer@nongnu.org; Tue, 30 Aug 2005 23:46:33 -0400
Received: from mua-1.zoominternet.net (mua-1.zoominternet.net [24.154.1.44])
by mx-1.zoominternet.net (8.12.11/8.12.11) with ESMTP id j7V3hoKP009956;
Tue, 30 Aug 2005 23:43:50 -0400
Received: from localhost.localdomain (acs-72-23-19-5.zoominternet.net
[72.23.19.5])
by mua-1.zoominternet.net (Postfix) with ESMTP id 8DA597F407;
Tue, 30 Aug 2005 23:43:42 -0400 (EDT)
Received: (from root@localhost)
by localhost.localdomain (8.11.6/8.11.6) id j7V3evD14490;
Tue, 30 Aug 2005 23:40:57 -0400
Date: Tue, 30 Aug 2005 23:40:57 -0400
Message-Id: <200508310340.j7V3evD14490@localhost.localdomain>
From: root <daly@axiom-developer.org>
To: bill.page1@sympatico.ca
In-reply-to: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A3@Corporateex01.Corporate.drdc-rddc.gc.ca>
(Bill.Page@drdc-rddc.gc.ca)
References: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A3@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-CanItPRO-Stream: outgoing
X-Spam-Score: 0 ()
X-Scanned-By: CanIt (www . roaringpenguin . com) on 24.154.1.20
Cc: axiom-developer@nongnu.org
Subject: [Axiom-developer] Re: )set functions compile on
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: daly@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 03:56:07 -0000
Bill,
I've merged Peter's Aldor changes and am going to recompile the system.
I'll do two builds, one with
)set functions compile off
and one with
)set functions compile on
and see what breaks.
If nothing breaks then I have no objections to changing the default.
Tim
From MAILER-DAEMON Wed Aug 31 02:53:57 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAMTs-0000Bh-Ke
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 02:53:57 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAMTn-00005F-Rm
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:53:52 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAMTj-0008U4-GF
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:53:50 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAMTa-00086y-7I
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:53:39 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAMC2-0006fb-A9
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:35:30 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7V6WWwl015340;
Wed, 31 Aug 2005 01:32:32 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050831013232-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 31 Aug 2005 01:32:32 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 06:53:53 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-functions which you then can use Axiom.
functions which you then can use Axiom. For details see:
- http://www.aldor.org/docs/HTML/chap18.html
??changed:
-See also a more complex example in [Sandbox Aldor Testing]
Here is an example from http://www.aldor.org/docs/HTML/chap18.html
\begin{aldor}
#include "axiom.as"
#pile
MatrixSymmetry(R:Field): with
symmetricPart : Matrix R -> Matrix R
++ `symmetricPart(M)' returns a symmetric
++ matrix `S', computed as `(M + transpose M)/2'.
++ The difference `M - S' is antisymmetric.
antisymmetricPart : Matrix R -> Matrix R
++ `antisymmetricPart(M)' returns an antisymmetric
++ matrix `A', computed as `(M - transpose M)/2'.
++ The difference `M - A' is symmetric.
== add
import from R, Integer
symmetricPart(m: Matrix R): Matrix R ==
mt := transpose m
inv(2::R) * (m + mt)
antisymmetricPart(m: Matrix R): Matrix R ==
mt := transpose m
inv(2::R) * (m - mt)
\end{aldor}
\begin{axiom}
m := matrix[[1/2,1/3],[1/4,1/5]]
s := symmetricPart m
a := antisymmetricPart m
\end{axiom}
See also a more complex example in [RandomAlgebra]
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050831013232-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 31 02:59:07 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAMYr-0002N4-Oq
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 02:59:06 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAMYl-0002Kf-QL
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:59:02 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAMYi-0002Ih-8H
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:58:58 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAMYg-0002Dp-Us
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:58:55 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAMX2-0007te-8i
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 02:57:12 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7V6q7bd057102;
Wed, 31 Aug 2005 08:52:17 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17173.21287.594490.930957@seam101.local>
Date: Wed, 31 Aug 2005 08:50:15 +0200
To: daly@axiom-developer.org
Subject: Re: [Axiom-developer] Re: )set functions compile on
In-Reply-To: <200508310340.j7V3evD14490@localhost.localdomain>
References: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A3@Corporateex01.Corporate.drdc-rddc.gc.ca>
<200508310340.j7V3evD14490@localhost.localdomain>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4248; Body=3 Fuz1=3 Fuz2=3
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 06:59:03 -0000
But, on the other hand, I think we should really track down the cause of the
frequent failures when working without )se fu co on
I suspect that this could lead to some insights about how the interpreter
differs from the compiler, and it should be a priority goal to make the
semantics of both the same.
I'm unable to do this, I'd like to stick to the algebra part of Axiom. But who
is in charge of interpreter and compiler?
Martin
root writes:
> Bill,
>
> I've merged Peter's Aldor changes and am going to recompile the system.
> I'll do two builds, one with
> )set functions compile off
> and one with
> )set functions compile on
> and see what breaks.
>
> If nothing breaks then I have no objections to changing the default.
>
> Tim
>
>
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
From MAILER-DAEMON Wed Aug 31 04:01:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EANRR-0000dD-DN
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 03:55:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EANR1-0000bL-Rt
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 03:55:04 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EANQY-0000WK-SH
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 03:54:41 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EANQX-0000Ur-T7
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 03:54:34 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EANOn-000377-9Q
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 03:52:45 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7V7kpbd079901;
Wed, 31 Aug 2005 09:46:53 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17173.24571.450996.661110@seam101.local>
Date: Wed, 31 Aug 2005 09:44:59 +0200
To: <bill.page1@sympatico.ca>
Subject: RE: [Axiom-developer] Re: )set functions compile on
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A5@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A5@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx8 4248; Body=4 Fuz1=4 Fuz2=4
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 07:55:20 -0000
Page, Bill writes:
> On Wednesday, August 31, 2005 2:50 AM Martin Rubey wrote:
> >
> > But, on the other hand, I think we should really track down the
> > cause of the frequent failures when working without )se fu co on
> > I suspect that this could lead to some insights about how the
> > interpreter differs from the compiler [...]
>
> Be careful here not to confuse the reference to 'compile' in
> ')set function compile on' with the )compile command.
Thanks for the clarification. Quite true. So the goal really should read
"to make the semantics of all the same."
I'm aware of the fact that there are fundamental differences between
interpreter / SPAD / Aldor which are not bugs. But I think, in order to make
Axiom interesting for more people, SPAD should go away (not #pile as an
alternative *syntax* though!) and the semantics of the interpreter should be as
close as possible to the semantics of the compiler.
First step: document interpreter and compiler.
Second step might be to incorporate the "extend" keyword of Aldor, and the
possibility to have dependent types usable (not yet definable, maybe) in Axiom.
Would it be a fitting *challenge* for comp.lang.lisp to devise a *simple*
compiler for the Aldor language as described in the Aldor User Guide? Maybe
with a price of 500$?
Martin
From MAILER-DAEMON Wed Aug 31 04:09:23 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EANcO-0002UW-9G
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 04:06:48 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EANbw-0002Mj-RA
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:06:21 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EANW5-0001Hh-8R
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:00:21 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EANU5-0000Ur-32
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 03:58:14 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAN6O-00029Z-VN
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 03:33:46 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id EC7EB65DA5;
Wed, 31 Aug 2005 03:31:04 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id E642865DA2;
Wed, 31 Aug 2005 03:31:02 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Re: )set functions compile on
Date: Wed, 31 Aug 2005 03:31:01 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A5@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-Has-Attach:
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Re: )set functions compile on
Thread-Index: AcWt+cPoFtOtfc+LT7iozgC7eoLGigAAP5rg
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Martin Rubey" <martin.rubey@univie.ac.at>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 08:06:44 -0000
On Wednesday, August 31, 2005 2:50 AM Martin Rubey wrote:
>=20
> But, on the other hand, I think we should really track down the
> cause of the frequent failures when working without )se fu co on
>
Agreed.
=20
> I suspect that this could lead to some insights about how the
> interpreter differs from the compiler, and it should be a priority
> goal to make the semantics of both the same.
>=20
Be careful here not to confuse the reference to 'compile' in
')set function compile on' with the )compile command. In the first
case we are talking about the lisp compiler (i.e. compile lisp to
machine code). In the second case it refers to either the SPAD or
Aldor compilers, both of which compile high level library code to
lisp code and then automatically invoke the lisp compiler to
produce machine code.
For extraordinary debugging situations I believe that it is possible
to run Axiom without compiling the library code to machine code and
to let lisp interpret the generated lisp code directly. (Is that
right Tim?) But normally all library code is compiled twice, once
from SPAD/Aldor to lisp and then a second time from lisp to machine
code.
When ')set function compile off' is in effect, the interpreter
does not call the lisp compiler. Instead it allows lisp to simply
interpret the lisp code that it generates for function definitions.
In the case of the interpreter, in principle there should be no
differences in the semantics between compiling the lisp code or
not. Any difference would constitute a programming error either in
Axiom or in the lisp interpreter/compiler (GCL).
Of course in the case of the )compile command, there *are* significant
differences between the high level language accepted by the interpreter
and the language accepted by the library compiler (SPAD or Aldor). I
suspect that when you say: "make the semantics of both the same" you
have in mind this latter case?
> I'm unable to do this, I'd like to stick to the algebra part of
> Axiom. But who is in charge of interpreter and compiler?
>
Who is in charge? Well, this is open source. We are all in charge.
But the only person I know who has the skills and is active here
is Tim Daly. I am :) because he's here, but :( because there are
still so few other people who are willing and able to contribute
their time to do this kind of work.
Regards,
Bill Page.=20
From MAILER-DAEMON Wed Aug 31 04:18:49 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EANno-0007TV-MP
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 04:18:37 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EANmj-00073x-RJ
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:17:29 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EANkn-00069j-M3
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:15:32 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EANjl-0005oj-RL
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:14:26 -0400
Received: from [131.136.242.1] (helo=fw.drenet.dnd.ca)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EANex-0004Pr-Jd
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:09:27 -0400
Received: from localhost (localhost.drenet.dnd.ca [127.0.0.1])
by fw.drenet.dnd.ca (_) with ESMTP id 757B165E14;
Wed, 31 Aug 2005 04:06:47 -0400 (EDT)
Received: from Corporateex01.Corporate.drdc-rddc.gc.ca
(corporateex01.corporate.drdc-rddc.gc.ca [131.136.1.76])
by fw.drenet.dnd.ca (_) with ESMTP id 3FE8665E19;
Wed, 31 Aug 2005 04:06:42 -0400 (EDT)
X-MimeOLE: Produced By Microsoft Exchange V6.5.6944.0
Content-class: urn:content-classes:message
Subject: RE: [Axiom-developer] Re: )set functions compile on
Date: Wed, 31 Aug 2005 04:06:41 -0400
Message-ID: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A6@Corporateex01.Corporate.drdc-rddc.gc.ca>
MIME-Version: 1.0
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
X-MS-Has-Attach:
X-MS-TNEF-Correlator:
Thread-Topic: [Axiom-developer] Re: )set functions compile on
Thread-Index: AcWuAc4JQn+H/eDoRo6qgb5QcOpPmQAAFcNw
From: "Page, Bill" <Bill.Page@drdc-rddc.gc.ca>
To: "Martin Rubey" <martin.rubey@univie.ac.at>
X-Virus-Scanned: by amavisd-new at drenet.dnd.ca
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: bill.page1@sympatico.ca
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 08:18:32 -0000
On Wednesday, August 31, 2005 3:45 AM Martin Rubey wrote:
> ...=20
> Would it be a fitting *challenge* for comp.lang.lisp to devise a
> *simple* compiler for the Aldor language as described in the Aldor
> User Guide? Maybe with a price of 500$?
>=20
??? Why would you want a compiler written in lisp for the Aldor
language when there already is an Aldor compiler written in C? I do
not see how it can possibly be "simple".
If you can find anyone willing to write another compiler for a
language like Aldor for $500 then I have a lot of other jobs
I would like them to do first! :)
Seriously. I don't understand your point of view here. Could you
explain what you mean?
Regards,
Bill Page.
From MAILER-DAEMON Wed Aug 31 05:02:44 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAOUT-0004MM-M8
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 05:02:42 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAOUJ-0004LX-2k
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 05:02:31 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAOUD-0004Kz-Ac
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 05:02:27 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAORz-0003bc-H7
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 05:00:09 -0400
Received: from [194.242.157.42] (helo=storm.uk.FreeBSD.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAOQJ-0007Ps-Do
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:58:23 -0400
Received: from storm.uk.FreeBSD.org (uucp@localhost [127.0.0.1])
by storm.uk.FreeBSD.org (8.13.3/8.13.3) with ESMTP id j7V8tViE060688;
Wed, 31 Aug 2005 09:55:31 +0100 (BST)
(envelope-from mark@grondar.org)
Received: (from uucp@localhost)
by storm.uk.FreeBSD.org (8.13.3/8.12.11/Submit) with UUCP id
j7V8tTP4060687; Wed, 31 Aug 2005 09:55:29 +0100 (BST)
(envelope-from mark@grondar.org)
Received: from grunt.grondar.org (localhost [127.0.0.1])
by grunt.grondar.org (8.13.4/8.13.4) with ESMTP id j7V8sP81078012;
Wed, 31 Aug 2005 09:54:25 +0100 (BST)
(envelope-from mark@grunt.grondar.org)
Message-Id: <200508310854.j7V8sP81078012@grunt.grondar.org>
To: daly@axiom-developer.org
Subject: Re: [Axiom-developer] Re: axiom on Mac OSX
From: Mark Murray <markm@FreeBSD.ORG>
Date: Wed, 31 Aug 2005 09:54:25 +0100
Sender: mark@grondar.org
Cc: axiom-developer@nongnu.org, markm@FreeBSD.ORG
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 09:02:34 -0000
root writes:
>I'm somewhat confused about the FreeBSD environment.
How is it going? Anything else I can help with? :-)
M
--
Mark R V Murray
What is the most interesting question you have asked?
What, if any, was the answer?
From MAILER-DAEMON Wed Aug 31 05:02:56 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAORj-0004B0-QG
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 04:59:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAORV-00049y-AE
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:59:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAORK-00049B-LK
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:59:31 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAOPx-0003bc-6z
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:58:01 -0400
Received: from [131.130.1.182] (helo=imap1u.univie.ac.at)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAOAU-0006T2-PC
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 04:42:03 -0400
Received: from seam101.local ([131.130.96.153])
by imap1u.univie.ac.at (8.12.10/8.12.10) with ESMTP id j7V8cebd004786;
Wed, 31 Aug 2005 10:38:44 +0200 (CEST)
From: Martin Rubey <martin.rubey@univie.ac.at>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Message-ID: <17173.27680.622360.71201@seam101.local>
Date: Wed, 31 Aug 2005 10:36:48 +0200
To: <bill.page1@sympatico.ca>
Subject: RE: [Axiom-developer] Re: )set functions compile on
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A6@Corporateex01.Corporate.drdc-rddc.gc.ca>
References: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A6@Corporateex01.Corporate.drdc-rddc.gc.ca>
X-Mailer: VM 7.18 under Emacs 21.3.1
X-DCC-ZID-Univie-Metrics: mx9.univie.ac.at 4249; Body=4 Fuz1=4 Fuz2=4
Cc: axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 08:59:41 -0000
Page, Bill writes:
> On Wednesday, August 31, 2005 3:45 AM Martin Rubey wrote:
> ??? Why would you want a compiler written in lisp for the Aldor
> language when there already is an Aldor compiler written in C?
There are (at least) two reasons:
* it is not too unlikely that Aldor will not become free software
* it is always a good thing to have several implementations of the *same*
language. Mind that I'm not talking about dialects, it is important that the
implementations strive to satisfy the *same* semantics. A good example is the
variety of Ansi Common Lisp implementations around.
> I do not see how it can possibly be "simple".
I suspect that it is *relatively* easy to write a *simple* compiler (i.e., no
optimizations etc.) for Aldor in Lisp.
Martin
From MAILER-DAEMON Wed Aug 31 12:21:52 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAVLM-0007LY-9a
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 12:21:44 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAVLG-0007IP-HK
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 12:21:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAVL6-0007E5-MT
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 12:21:31 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAVL6-0007DL-Bc
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 12:21:28 -0400
Received: from [66.134.96.17] (helo=intech19.enhanced.com)
by monty-python.gnu.org with esmtp (Exim 4.34) id 1EAVHQ-0005i4-8U
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 12:17:40 -0400
Received: from camm by intech19.enhanced.com with local (Exim 3.35 #1 (Debian))
id 1EAVEE-0004TV-00; Wed, 31 Aug 2005 12:14:22 -0400
To: bill.page1@sympatico.ca
Subject: Re: [Axiom-developer] RE: Tail recursion
References: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A4@Corporateex01.Corporate.drdc-rddc.gc.ca>
From: Camm Maguire <camm@enhanced.com>
Date: 31 Aug 2005 12:14:22 -0400
In-Reply-To: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A4@Corporateex01.Corporate.drdc-rddc.gc.ca>
Message-ID: <54irxmrsm9.fsf@intech19.enhanced.com>
Lines: 188
User-Agent: Gnus/5.09 (Gnus v5.9.0) Emacs/21.2
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: quoted-printable
Cc: Jens Axel =?iso-8859-1?q?S=F8gaard?= <jensaxel@soegaard.net>,
axiom-developer@nongnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 16:21:39 -0000
Greetings!
"Page, Bill" <Bill.Page@drdc-rddc.gc.ca> writes:
> On Tuesday, August 30, 2005 7:59 PM Jens Axel S=F8gaard wrote:
>=20
> > ...=20
> > It does seem to work in cases, where the tail recursive call is
> > to the function itself.
> >=20
> > I tried another tail recursive loop in the Octorber 2004 version:
> >=20
> > )set functions compile on
> > foo : INT -> INT
> > bar : INT -> INT
> > foo (n) =3D=3D bar (n)
> > bar (n) =3D=3D foo (n)
> > foo (1)
> >=20
> > and got a
> >=20
> > >> System error:
> > Value stack overflow.
> >=20
> > However, I am not sure the above is the correct way to define
> > two mutually recursive functions.
> >=20
>=20
> I think that what you are writing is correct. With Axiom from the
> most recent Patch-44 which used gcl-2.6.6 I tried:
>=20
> (3) -> )set functions compile on
> (3) -> foo : INT -> INT
> Type: Void
> (4) -> bar : INT -> INT
> Type: Void
> (5) -> foo (n) =3D=3D bar (n)
> Type: Void
> (6) -> bar (n) =3D=3D foo (n)
> Type: Void
> (7) -> foo (1)
> Compiling function bar with type Integer -> Integer
>=20
> ---------
>=20
> This behaviour is odd. It should have returned either a result
> or an error message. So I repeat the command.
>=20
> (7) -> foo (1)
>=20
> >> System error:
> The function |*1;foo;1;initial| is undefined.
>=20
> ---------
>=20
Don't know what to say about this offhand.
But I do recommend that the )set functions compile on feature
automatically proclaim the function signature before compiling, i.e.
running the following in this case:
(proclaim '(ftype (function (t) t) foo))
(proclaim '(ftype (function (t) t) bar))
=20
or even=20
(proclaim '(ftype (function (integer) integer) foo))
(proclaim '(ftype (function (integer) integer) bar))
> This time I get an error message but not the one I expected.
> I don't know what this message means. (Axiom is busted ... )
>=20
> Let's try a slightly more complicated mutual recursion:
>=20
> (7) -> foo (n) =3D=3D if n>0 then bar (n-1)+1 else 0
> Compiled code for foo has been cleared.
> Compiled code for bar has been cleared.
> 1 old definition(s) deleted for function or rule foo
> Type: Void
> (8) -> bar (n) =3D=3D if n>0 then foo (n-1)+1 else 0
> 1 old definition(s) deleted for function or rule bar
> Type: Void
> (9) -> foo (1)
> Compiling function bar with type Integer -> Integer
> Compiling function foo with type Integer -> Integer
>=20
> (9) 1
> Type: PositiveInteger
> (10) -> foo (100)
>=20
> (10) 100
> Type: PositiveInteger
> (11) -> foo (1000000)
>=20
> >> System error:
> Value stack overflow.
>=20
> Here is the error message which as you suggest implies that
> Axiom/GCL did not recognize this as a case where tail recursion
> can be eliminated.
Yes, currently we do not eliminate mutual tail recursive calls -- we
can only do this with special support from the C compiler such as
gcc. When we do implement eventually, somehow axiom would have to
group these two functions into the same C file or otherwise instruct
GCL to do so, as this is a requirement of the GCC mutual tail
recursion elimination support.
>=20
> Even this "proper" case is apparently not recognized:
>=20
> (12) -> bar2 (n,a) =3D=3D if n>0 then foo2 (n-1,n+a) else a
> Type: Void
> (13) -> foo2 (n,a) =3D=3D if n>0 then bar2 (n-1,n+a) else a
> Type: Void
> (14) -> foo2(1,0)
> Compiling function bar2 with type (Integer,Integer) -> Integer
> Compiling function foo2 with type (Integer,Integer) -> Integer
>=20
> (14) 1
> Type: PositiveInteger
> (15) -> foo2(100,0)
>=20
> (15) 5050
> Type: PositiveInteger
> (16) -> foo2(10000,0)
>=20
> (16) 50005000
> Type: PositiveInteger
> (17) -> foo2(1000000,0)
>=20
> >> System error:
> Value stack overflow.
>=20
> --------
>=20
> So I think your caution about tail recursion elimination not being
> guaranteed is well taken.
>=20
> I wonder when should expect a "Value stack overflow" instead of
> an "Invocation history stack overflow"?
If the calls pass arguments and return types via the list stack, such
as is the case when the functions are not proclaimed, or when running
in debugging mode, or (at present) when the function returns mutiple
values for example, one fills up the value stack as well as the
invocation history stack and it is undetermined which will fill first.
If all argument passing is done via the C stack, such as is the case
for proclaimed functions of simple argument and return types which are
compiled and debugging is off, then one will either overrun the C
stack with a segfault or proceed forevever depending on whether GCL
has eliminated the recursion. One can see explicitly what is going on
by examining the compiler notes. I think Tim may be patching the GCL
source to eliminate these completely, but in 2.6.7 and later, there is
a simple switch:
compiler::*suppress-compiler-notes*
which can be set to achieve the same thing and give the user the
option to see them if needed. Defaults to nil on 2.6.7 and t in 2.7.0
and higher.
Take care,
>=20
> Thanks for your comments.
>=20
> Regards,
> Bill Page.
>=20
>=20
>=20
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
>=20
>=20
>=20
--=20
Camm Maguire camm@enhanced.com
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
"The earth is but one country, and mankind its citizens." -- Baha'u'llah
From MAILER-DAEMON Wed Aug 31 12:36:21 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAVZV-0001su-KB
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 12:36:21 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAVZS-0001rj-MI
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 12:36:19 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAVZR-0001rO-Nf
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 12:36:18 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43)
id 1EAVLp-0007DL-6l; Wed, 31 Aug 2005 12:22:13 -0400
Received: from [66.134.96.17] (helo=intech19.enhanced.com)
by monty-python.gnu.org with esmtp (Exim 4.34)
id 1EAV3W-00057L-6B; Wed, 31 Aug 2005 12:03:18 -0400
Received: from camm by intech19.enhanced.com with local (Exim 3.35 #1 (Debian))
id 1EAV06-0003M4-00; Wed, 31 Aug 2005 11:59:46 -0400
To: Jens Axel =?iso-8859-1?q?S=F8gaard?= <jensaxel@soegaard.net>
Subject: Re: [Axiom-developer] Re: Tail recursion (was: Lexicographic order)
References: <1FFA4B6E1B01844FBF2C537A791A4AC71DF7A2@Corporateex01.Corporate.drdc-rddc.gc.ca>
<4314F2BB.9060100@soegaard.net>
From: Camm Maguire <camm@enhanced.com>
Date: 31 Aug 2005 11:59:46 -0400
In-Reply-To: <4314F2BB.9060100@soegaard.net>
Message-ID: <54mzmyrtal.fsf@intech19.enhanced.com>
Lines: 137
User-Agent: Gnus/5.09 (Gnus v5.9.0) Emacs/21.2
MIME-Version: 1.0
Content-Type: text/plain; charset=iso-8859-1
Content-Transfer-Encoding: quoted-printable
Cc: axiom-developer@nongnu.org, gcl-devel@gnu.org
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 16:36:19 -0000
Greetings!
Jens Axel S=F8gaard <jensaxel@soegaard.net> writes:
> Page, Bill wrote:
>=20
> > I think the example at:
> > http://www.axiom-developer.org/zope/mathaction/SandBoxTailRecursion
> > shows that something more subtle is happening here than just
> > tail-recursion elimination (or not).
> > For one thing, the call to summa(1000000) did not fail with a
> > "Invocation history stack overflow" as Jens predicted above
> > but summa2(1000000,0) did fail.
> > The definition::
> > summa(n) =3D=3D
> > if n=3D0
> > then 0
> > else n + summa(n-1)
> > is apparently treated specially by Axiom as a "recurrence
> > relation" and so does not produce a stack overflow.
>=20
> Ok - I choose a bad example.
>=20
> > Now let's see what happens if we tell Axiom to compile the
> > function (see web page above):
> > \begin{axiom}
> > )set functions compile on
> > \end{axiom}
> > \begin{axiom}
> > -- a stands for accumulator
> > summa3(n, a) =3D=3D
> > if n=3D0
> > then a
> > else summa3(n-1, n+a)
> > \end{axiom}
> > \begin{axiom}
> > summa3(1000000,0)
> > \end{axiom}
> > Now this function returns a correct value without the stack
> > overflow. And similarly
> > \begin{axiom}
> > loop : INT -> INT
> > loop (n) =3D=3D loop (n)
> > \end{axiom}
> > if called here with 'loop(1)' becomes an infinite loop.
> > So it seems that perhaps the tail recursion elimination only
> > works when the function is compiled unless it is recognized as
> > special case of a recurrence relation.
>=20
> It does seem to work in cases, where the tail recursive call is
> to the function itself.
>=20
> I tried another tail recursive loop in the Octorber 2004 version:
>=20
> )set functions compile on
> foo : INT -> INT
> bar : INT -> INT
> foo (n) =3D=3D bar (n)
> bar (n) =3D=3D foo (n)
> foo (1)
>=20
> and got a
>=20
> >> System error:
> Value stack overflow.
>=20
> However, I am not sure the above is the correct way to define
> two mutually recursive functions.
Just wanted to confirm the basic gist of this thread -- GCL will
implement tail recursion when:
1) the call is to the function itself
2) the function is compiled
3) the argument list and return types are known and not variable
(i.e. proclaimed)
4) one is not running in degugging mode (si::use-fast-links nil)
One thing I'd like to do is to extend this to optional arguments, and
perhaps multiple value returns.=20=20
As far as mutual recursion goes, this cannot be done in C without
special non-standard support from the C compiler. Thankfully, GCL
prvides this. I have a patch, not yet committed, which gets mutual
tail recursion elimination when
1) the above is satisfied
2) the two calls are in the same file
3) the two functions have exactly the same argument and return types.
As for the old example from SICP, it is true that lisp is not required
to eliminate this, but that's not really relevenat for GCL as we do
want to do tail recursion where possible. On looking at it again, I
don't see why it is tail recursive at all, even if one grants mutual
tail recursion. I'm probably just overlooking something.=20
>=20
> > The message "Invocation history stack overflow" is actually generated
> > by gcl (gcl 2.6.6 is the lisp compiler used to build Axiom on MathActio=
n).
> > Although the examples above seem to suggest that tail recursion
> > elimination is working as expected in the case where the Axiom interpre=
ter
> > functions are compiled, a search of the web returned the following hits
> > which suggest that some previous versions of gcl may have had some prob=
lems
> > with tail recursion:
> > - https://savannah.gnu.org/task/?func=3Ddetailitem&item_id=3D788
> >
> > - http://lists.gnu.org/archive/html/gcl-devel/2002-03/msg00032.html
> > - http://www.mail-archive.com/gcl-devel@gnu.org/msg00287.html
> > So maybe there is still a problem lurking out there?
>=20
> That depends on the Axiom interpreter/compiler. Since Common Lisp
> doesn't guarantee proper tail recursion, it isn't an error that
> tail recursive code can run out of stack space in GCL. Some
> Common Lisp compilers make an effort to optimize som tail recursive
> calls, but it is usually unsafe to rely on it.
>=20
> The code from SICP (which uses Scheme) that Maguire is trying is
> thus not supposed to work an all Common Lisp implementations.
>=20
> --=20
> Jens Axel S=F8gaard
>=20
>=20
>=20
>=20
> _______________________________________________
> Axiom-developer mailing list
> Axiom-developer@nongnu.org
> http://lists.nongnu.org/mailman/listinfo/axiom-developer
>=20
>=20
>=20
--=20
Camm Maguire camm@enhanced.com
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
"The earth is but one country, and mankind its citizens." -- Baha'u'llah
From MAILER-DAEMON Wed Aug 31 16:02:50 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAYnK-0003MF-M1
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 16:02:50 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAYnF-0003Iy-As
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 16:02:45 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAYnB-0003H2-3s
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 16:02:43 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAYnA-0003Fy-QN
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 16:02:40 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAYkV-0004Rt-0z
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 15:59:55 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7VJuwwl030401;
Wed, 31 Aug 2005 14:56:58 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050831145658-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 31 Aug 2005 14:56:58 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 20:02:47 -0000
Changes http://www.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-See also a more complex example in [RandomAlgebra]
See also a more complex examples in [RandomAlgebra]
and [FormalFraction]
--
forwarded from http://www.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050831145658-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 31 16:02:52 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAYnL-0003Mk-VE
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 16:02:52 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAYnI-0003Kw-Q6
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 16:02:48 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAYnD-0003IZ-Jg
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 16:02:44 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAYnD-0003Fy-BU
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 16:02:43 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAYjd-0004MV-1S
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 15:59:01 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j7VJu0wl030257;
Wed, 31 Aug 2005 14:56:01 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050831145551-0500@www.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 31 Aug 2005 14:55:59 -0500
Cc:
Subject: [Axiom-developer] [FormalFraction] (new)
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 20:02:50 -0000
Changes http://www.axiom-developer.org/zope/mathaction/FormalFraction/diff
--
Author -- M.G. Richardson
Date Created -- 1996 Jan. 23
Related Constructors -- Fraction
URL -- http://page.axiom-developer.org/repository/axiom--main--1/src/algebra/ffrac.as.pamphlet
N.B. -- ndftip.as inlines this, must be recompiled if this is.
Description:
This type represents formal fractions - that is, pairs displayed as
fractions with no simplification.
If the elements of the pair have a type X which is an integral
domain, a FFRAC X can be coerced to a FRAC X, provided that this
is a valid type. A FRAC X can always be coerced to a FFRAC X.
If the type of the elements is a Field, a FFRAC X can be coerced
to X.
Formal fractions are used to return results from numerical methods
which determine numerator and denominator separately, to enable
users to inspect these components and recognise, for example,
ratios of very small numbers as potentially indeterminate.
\begin{aldor}
#include "axiom.as"
FFRAC ==> FormalFraction ;
OF ==> OutputForm ;
SC ==> SetCategory ;
FRAC ==> Fraction ;
ID ==> IntegralDomain ;
FormalFraction(X : SC) : SC with {
-- Could generalise further to allow numerator and denominator to be of
-- different types, X and Y, both SCs. "Left as an exercise."
/ : (X,X) -> % ;
++ / forms the formal quotient of two items.
numer : % -> X ;
++ numer returns the numerator of a FormalFraction.
denom : % -> X ;
++ denom returns the denominator of a FormalFraction.
if X has ID then {
coerce : % -> FRAC(X pretend ID) ;
++ coerce x converts a FormalFraction over an IntegralDomain to a
++ Fraction over that IntegralDomain.
coerce : FRAC(X pretend ID) -> % ;
++ coerce converts a Fraction to a FormalFraction.
}
if X has Field then coerce : % -> (X pretend Field) ;
} == add {
import from Record(num : X, den : X) ;
Rep == Record(num : X, den : X) ; -- representation
((x : %) = (y : %)) : Boolean ==
((rep(x).num = rep(y).num) and (rep(x).den = rep(y).den)) ;
((n : X)/(d : X)) : % == per(record(n,d)) ;
coerce(r : %) : OF == (rep(r).num :: OF) / (rep(r).den :: OF) ;
numer(r : %) : X == rep(r).num ;
denom(r : %) : X == rep(r).den ;
if X has ID then {
coerce(r : %) : FRAC(X pretend ID)
== ((rep(r).num)/(rep(r).den)) @ (FRAC(X pretend ID)) ;
coerce(x : FRAC(X pretend ID)) : % == x pretend % ;
}
if X has Field then coerce(r : %) : (X pretend Field)
== ((rep(r).num)/(rep(r).den)) $ (X pretend Field) ;
}
\end{aldor}
\begin{axiom}
f1 : FormalFraction Integer
f1 := 6/3
-- 6
-- -
-- 3
f2 := (3.6/2.4)$FormalFraction Float
-- 3.6
-- ---
-- 2.4
numer f1
-- 6
denom f2
-- 2.4
f1 :: FRAC INT
-- 2
% :: FormalFraction Integer
-- 2
-- -
-- 1
f2 :: Float
-- 1.5
\end{axiom}
--
forwarded from http://www.axiom-developer.org/zope/mathaction/FormalFraction#msg20050831145551-0500@www.axiom-developer.org
From MAILER-DAEMON Wed Aug 31 19:24:33 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAbwU-0000jX-29
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 19:24:30 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAbvl-0000hl-NR
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 19:23:45 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAbve-0000ey-48
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 19:23:40 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAbvb-0000SV-Cy
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 19:23:35 -0400
Received: from [213.165.64.20] (helo=mail.gmx.net)
by monty-python.gnu.org with smtp (Exim 4.34) id 1EAbpM-0000u2-Nf
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 19:17:09 -0400
Received: (qmail invoked by alias); 31 Aug 2005 23:14:18 -0000
Received: from p549F4F5F.dip.t-dialin.net (EHLO Pupone.local) [84.159.79.95]
by mail.gmx.net (mp022) with SMTP; 01 Sep 2005 01:14:18 +0200
X-Authenticated: #7158753
To: axiom-developer@nongnu.org
From: Kai Kaminski <kai.kaminski@gmail.com>
Date: Thu, 01 Sep 2005 01:14:53 +0200
Message-ID: <m28xyh1yxe.fsf@Pupone.local>
MIME-Version: 1.0
Content-Type: text/plain; charset=us-ascii
X-Y-GMX-Trusted: 0
Subject: [Axiom-developer] [UI] Plot Support
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Wed, 31 Aug 2005 23:24:27 -0000
Hi!
I have just uploaded a new version of AxiomUI to my homepage at
kaikaminski.gmxhome.de. It now supports two-dimensional plots. Some
options do not work, but there are a few examples in the README to
demonstrate what is possible.
I should mention that at the moment quite a bit of debugging output is
printed, which makes everything a lot slower than it usually is. Also
keep in mind that when you first plot something, all the necessary
libraries have to be loaded, which also takes some time.
Kai
From MAILER-DAEMON Wed Aug 31 20:28:40 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAcwZ-0003fg-PN
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 20:28:39 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAcwS-0003bE-St
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:28:33 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAcwP-0003Yx-FK
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:28:31 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAcwO-0003Me-2X
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:28:28 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAcpA-0004zq-QF
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:21:01 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j810Htwl030865;
Wed, 31 Aug 2005 19:17:55 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050831191755-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 31 Aug 2005 19:17:55 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 01 Sep 2005 00:28:34 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-code appears between !\begin{aldor} ... \end{aldor} tags.
-
-\begin{aldor}
code appears between !\begin{aldor}[name] ... \end{aldor} tags.
\begin{aldor}[fact]
++added:
)lib fact
\end{axiom}
\begin{axiom}
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050831191755-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 31 20:55:59 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAdN0-0004jQ-IC
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 20:55:58 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAdMc-0004gb-09
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:55:34 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAdLc-0004UO-Ju
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:54:46 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAdLb-0004JV-Ve
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:54:32 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAd41-0006Mx-Py
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:36:22 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j810XJwl002191;
Wed, 31 Aug 2005 19:33:19 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050831193319-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 31 Aug 2005 19:33:19 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 01 Sep 2005 00:55:34 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-code appears between !\begin{aldor}[name] ... \end{aldor} tags.
code appears between !\begin{aldor}![name] ... \end{aldor} tags.
++added:
The optional '[name]' can be used to name the compiled library file
which can be used later on another page in a ')library' command.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050831193319-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 31 20:56:38 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAdM7-0004ca-DX
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 20:55:03 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAdLg-0004Vc-8Z
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:54:39 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAdLW-0004OV-BQ
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:54:29 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAdLR-0004JV-QW
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:54:21 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAdF6-0006lr-VD
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 20:47:49 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j810ikwl004912;
Wed, 31 Aug 2005 19:44:47 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050831194446-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 31 Aug 2005 19:44:46 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 01 Sep 2005 00:55:00 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
??changed:
-First compile some function, for example this non-recursive
-method to compute the factorial. In the MathAction editor Aldor
-code appears between !\begin{aldor}![name] ... \end{aldor} tags.
To compile an Aldor function, for example this non-recursive method
to compute a factorial, in MathAction the Aldor code appears
between !\begin{aldor}![fact] ... \end{aldor} tags on the edit page.
??changed:
-The optional '[name]' can be used to name the compiled library file
-which can be used later on another page in a ')library' command.
The optional ![name] parameter is used to name the compiled library
file which can be used later on another page in a ')library' command.
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050831194446-0500@page.axiom-developer.org
From MAILER-DAEMON Wed Aug 31 21:22:17 2005
Received: from mailman by lists.gnu.org with archive (Exim 4.43)
id 1EAdmS-0002wo-P4
for mharc-axiom-developer@gnu.org; Wed, 31 Aug 2005 21:22:17 -0400
Received: from mailman by lists.gnu.org with tmda-scanned (Exim 4.43)
id 1EAdlq-0002kq-6w
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 21:21:38 -0400
Received: from exim by lists.gnu.org with spam-scanned (Exim 4.43)
id 1EAdli-0002gM-IO
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 21:21:32 -0400
Received: from [199.232.76.173] (helo=monty-python.gnu.org)
by lists.gnu.org with esmtp (Exim 4.43) id 1EAdli-0002dz-Aj
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 21:21:30 -0400
Received: from [209.135.140.38] (helo=axiom-developer.org)
by monty-python.gnu.org with esmtp
(TLS-1.0:DHE_RSA_3DES_EDE_CBC_SHA:24) (Exim 4.34) id 1EAdak-00084g-FM
for axiom-developer@nongnu.org; Wed, 31 Aug 2005 21:10:10 -0400
Received: from axiom-developer.org (lincoln.rosehosting.com [127.0.0.1])
by axiom-developer.org (8.12.8/8.12.8) with ESMTP id j81177wl009983;
Wed, 31 Aug 2005 20:07:07 -0500
From: mathaction@axiom-developer.org (Bill Page)
To: mathaction@axiom-developer.org
Message-ID: <20050831200706-0500@page.axiom-developer.org>
X-Zwiki-Version: 0.36.2
X-BeenThere: mathaction@axiom-developer.org
Content-Type: text/plain; charset="utf-8"
Date: Wed, 31 Aug 2005 20:07:06 -0500
Cc:
Subject: [Axiom-developer] [AldorForAxiom]
X-BeenThere: axiom-developer@nongnu.org
X-Mailman-Version: 2.1.5
Precedence: list
Reply-To: mathaction@axiom-developer.org
List-Id: Axiom Developers <axiom-developer.nongnu.org>
List-Unsubscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=unsubscribe>
List-Archive: <http://lists.gnu.org/pipermail/axiom-developer>
List-Post: <mailto:axiom-developer@nongnu.org>
List-Help: <mailto:axiom-developer-request@nongnu.org?subject=help>
List-Subscribe: <http://lists.nongnu.org/mailman/listinfo/axiom-developer>,
<mailto:axiom-developer-request@nongnu.org?subject=subscribe>
X-List-Received-Date: Thu, 01 Sep 2005 01:21:47 -0000
Changes http://page.axiom-developer.org/zope/mathaction/AldorForAxiom/diff
--
++added:
If you care to, you can also look at the
"Aldor source":http://page.axiom-developer.org/zope/mathaction/images/fact.as
generated "lisp code":http://page.axiom-developer.org/zope/mathaction/images/fact.lsp
and the final "compiled result":http://page.axiom-developer.org/zope/mathaction/images/fact.asy
at http://page.axiom-developer.org/zope/mathaction/images/![name].as, .lsp and .asy
--
forwarded from http://page.axiom-developer.org/zope/mathaction/AldorForAxiom#msg20050831200706-0500@page.axiom-developer.org
|