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
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- Created by GNU Texinfo 5.1, http://www.gnu.org/software/texinfo/ -->
<head>
<title>Maxima 5.47.0 Manual: Top</title>
<meta name="description" content="Maxima 5.47.0 Manual: Top">
<meta name="keywords" content="Maxima 5.47.0 Manual: Top">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<link href="#Top" rel="start" title="Top">
<link href="maxima_423.html#Function-and-Variable-Index" rel="index" title="Function and Variable Index">
<link href="#SEC_Contents" rel="contents" title="Table of Contents">
<link href="../dir/index.html" rel="up" title="(dir)">
<link href="maxima.html#Introduction-to-Maxima" rel="next" title="Introduction to Maxima">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.indentedblock {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
div.smalllisp {margin-left: 3.2em}
kbd {font-style:oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nocodebreak {white-space:nowrap}
span.nolinebreak {white-space:nowrap}
span.roman {font-family:serif; font-weight:normal}
span.sansserif {font-family:sans-serif; font-weight:normal}
ul.no-bullet {list-style: none}
body {color: black; background: white; margin-left: 8%; margin-right: 13%;
font-family: "FreeSans", sans-serif}
h1 {font-size: 150%; font-family: "FreeSans", sans-serif}
h2 {font-size: 125%; font-family: "FreeSans", sans-serif}
h3 {font-size: 100%; font-family: "FreeSans", sans-serif}
a[href] {color: rgb(0,0,255); text-decoration: none;}
a[href]:hover {background: rgb(220,220,220);}
div.textbox {border: solid; border-width: thin; padding-top: 1em;
padding-bottom: 1em; padding-left: 2em; padding-right: 2em}
div.titlebox {border: none; padding-top: 1em; padding-bottom: 1em;
padding-left: 2em; padding-right: 2em; background: rgb(200,255,255);
font-family: sans-serif}
div.synopsisbox {
border: none; padding-top: 1em; padding-bottom: 1em; padding-left: 2em;
padding-right: 2em; background: rgb(255,220,255);}
pre.example {border: 1px solid rgb(180,180,180); padding-top: 1em;
padding-bottom: 1em; padding-left: 1em; padding-right: 1em;
background-color: rgb(238,238,255)}
div.spacerbox {border: none; padding-top: 2em; padding-bottom: 2em}
div.image {margin: 0; padding: 1em; text-align: center}
div.categorybox {border: 1px solid gray; padding-top: 1em; padding-bottom: 1em;
padding-left: 1em; padding-right: 1em; background: rgb(247,242,220)}
img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-right: auto}
-->
</style>
<link rel="icon" href="figures/favicon.ico">
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
</head>
<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<h1 class="settitle" align="center">Maxima 5.47.0 Manual</h1>
<a name="SEC_Overview"></a>
<h2 class="shortcontents-heading">Short Table of Contents</h2>
<div class="shortcontents">
<ul class="no-bullet">
<li><a name="stoc-Introduction-to-Maxima-1" href="#toc-Introduction-to-Maxima-1">1 Introduction to Maxima</a></li>
<li><a name="stoc-Bug-Detection-and-Reporting-1" href="#toc-Bug-Detection-and-Reporting-1">2 Bug Detection and Reporting</a></li>
<li><a name="stoc-Help-1" href="#toc-Help-1">3 Help</a></li>
<li><a name="stoc-Command-Line-1" href="#toc-Command-Line-1">4 Command Line</a></li>
<li><a name="stoc-Data-Types-and-Structures-1" href="#toc-Data-Types-and-Structures-1">5 Data Types and Structures</a></li>
<li><a name="stoc-Expressions-1" href="#toc-Expressions-1">6 Expressions</a></li>
<li><a name="stoc-Operators-1" href="#toc-Operators-1">7 Operators</a></li>
<li><a name="stoc-Evaluation-1" href="#toc-Evaluation-1">8 Evaluation</a></li>
<li><a name="stoc-Simplification-1" href="#toc-Simplification-1">9 Simplification</a></li>
<li><a name="stoc-Elementary-Functions-1" href="#toc-Elementary-Functions-1">10 Elementary Functions</a></li>
<li><a name="stoc-Maxima_0027s-Database-1" href="#toc-Maxima_0027s-Database-1">11 Maxima’s Database</a></li>
<li><a name="stoc-Plotting-1" href="#toc-Plotting-1">12 Plotting</a></li>
<li><a name="stoc-File-Input-and-Output-1" href="#toc-File-Input-and-Output-1">13 File Input and Output</a></li>
<li><a name="stoc-Polynomials-1" href="#toc-Polynomials-1">14 Polynomials</a></li>
<li><a name="stoc-Special-Functions-1" href="#toc-Special-Functions-1">15 Special Functions</a></li>
<li><a name="stoc-Elliptic-Functions-1" href="#toc-Elliptic-Functions-1">16 Elliptic Functions</a></li>
<li><a name="stoc-Limits-1" href="#toc-Limits-1">17 Limits</a></li>
<li><a name="stoc-Differentiation-1" href="#toc-Differentiation-1">18 Differentiation</a></li>
<li><a name="stoc-Integration-1" href="#toc-Integration-1">19 Integration</a></li>
<li><a name="stoc-Equations-1" href="#toc-Equations-1">20 Equations</a></li>
<li><a name="stoc-Differential-Equations-1" href="#toc-Differential-Equations-1">21 Differential Equations</a></li>
<li><a name="stoc-Numerical-1" href="#toc-Numerical-1">22 Numerical</a></li>
<li><a name="stoc-Matrices-and-Linear-Algebra-1" href="#toc-Matrices-and-Linear-Algebra-1">23 Matrices and Linear Algebra</a></li>
<li><a name="stoc-Affine-1" href="#toc-Affine-1">24 Affine</a></li>
<li><a name="stoc-itensor-1" href="#toc-itensor-1">25 itensor</a></li>
<li><a name="stoc-ctensor-1" href="#toc-ctensor-1">26 ctensor</a></li>
<li><a name="stoc-atensor-1" href="#toc-atensor-1">27 atensor</a></li>
<li><a name="stoc-Sums_002c-Products_002c-and-Series" href="#toc-Sums_002c-Products_002c-and-Series">28 Sums, Products, and Series</a></li>
<li><a name="stoc-Number-Theory-1" href="#toc-Number-Theory-1">29 Number Theory</a></li>
<li><a name="stoc-Symmetries-1" href="#toc-Symmetries-1">30 Symmetries</a></li>
<li><a name="stoc-Groups-1" href="#toc-Groups-1">31 Groups</a></li>
<li><a name="stoc-Runtime-Environment-1" href="#toc-Runtime-Environment-1">32 Runtime Environment</a></li>
<li><a name="stoc-Miscellaneous-Options-1" href="#toc-Miscellaneous-Options-1">33 Miscellaneous Options</a></li>
<li><a name="stoc-Rules-and-Patterns-1" href="#toc-Rules-and-Patterns-1">34 Rules and Patterns</a></li>
<li><a name="stoc-Sets-1" href="#toc-Sets-1">35 Sets</a></li>
<li><a name="stoc-Function-Definition-1" href="#toc-Function-Definition-1">36 Function Definition</a></li>
<li><a name="stoc-Program-Flow-1" href="#toc-Program-Flow-1">37 Program Flow</a></li>
<li><a name="stoc-Debugging-1" href="#toc-Debugging-1">38 Debugging</a></li>
<li><a name="stoc-alt_002ddisplay" href="#toc-alt_002ddisplay">39 alt-display</a></li>
<li><a name="stoc-asympa-1" href="#toc-asympa-1">40 asympa</a></li>
<li><a name="stoc-augmented_005flagrangian" href="#toc-augmented_005flagrangian">41 augmented_lagrangian</a></li>
<li><a name="stoc-Bernstein" href="#toc-Bernstein">42 Bernstein</a></li>
<li><a name="stoc-bitwise" href="#toc-bitwise">43 bitwise</a></li>
<li><a name="stoc-bode" href="#toc-bode">44 bode</a></li>
<li><a name="stoc-celine" href="#toc-celine">45 celine</a></li>
<li><a name="stoc-clebsch_005fgordan-1" href="#toc-clebsch_005fgordan-1">46 clebsch_gordan</a></li>
<li><a name="stoc-cobyla" href="#toc-cobyla">47 cobyla</a></li>
<li><a name="stoc-combinatorics" href="#toc-combinatorics">48 combinatorics</a></li>
<li><a name="stoc-contrib_005fode-1" href="#toc-contrib_005fode-1">49 contrib_ode</a></li>
<li><a name="stoc-descriptive" href="#toc-descriptive">50 descriptive</a></li>
<li><a name="stoc-diag" href="#toc-diag">51 diag</a></li>
<li><a name="stoc-distrib" href="#toc-distrib">52 distrib</a></li>
<li><a name="stoc-draw-1" href="#toc-draw-1">53 draw</a></li>
<li><a name="stoc-drawdf-1" href="#toc-drawdf-1">54 drawdf</a></li>
<li><a name="stoc-dynamics" href="#toc-dynamics">55 dynamics</a></li>
<li><a name="stoc-engineering_002dformat" href="#toc-engineering_002dformat">56 engineering-format</a></li>
<li><a name="stoc-ezunits" href="#toc-ezunits">57 ezunits</a></li>
<li><a name="stoc-f90" href="#toc-f90">58 f90</a></li>
<li><a name="stoc-finance" href="#toc-finance">59 finance</a></li>
<li><a name="stoc-fractals" href="#toc-fractals">60 fractals</a></li>
<li><a name="stoc-Gentran" href="#toc-Gentran">61 Gentran</a></li>
<li><a name="stoc-ggf-1" href="#toc-ggf-1">62 ggf</a></li>
<li><a name="stoc-graphs" href="#toc-graphs">63 graphs</a></li>
<li><a name="stoc-grobner" href="#toc-grobner">64 grobner</a></li>
<li><a name="stoc-hompack" href="#toc-hompack">65 hompack</a></li>
<li><a name="stoc-impdiff" href="#toc-impdiff">66 impdiff</a></li>
<li><a name="stoc-interpol" href="#toc-interpol">67 interpol</a></li>
<li><a name="stoc-lapack" href="#toc-lapack">68 lapack</a></li>
<li><a name="stoc-lbfgs" href="#toc-lbfgs">69 lbfgs</a></li>
<li><a name="stoc-lindstedt" href="#toc-lindstedt">70 lindstedt</a></li>
<li><a name="stoc-linearalgebra" href="#toc-linearalgebra">71 linearalgebra</a></li>
<li><a name="stoc-lsquares" href="#toc-lsquares">72 lsquares</a></li>
<li><a name="stoc-minpack" href="#toc-minpack">73 minpack</a></li>
<li><a name="stoc-makeOrders" href="#toc-makeOrders">74 makeOrders</a></li>
<li><a name="stoc-mnewton-1" href="#toc-mnewton-1">75 mnewton</a></li>
<li><a name="stoc-numericalio-1" href="#toc-numericalio-1">76 numericalio</a></li>
<li><a name="stoc-odepack" href="#toc-odepack">77 odepack</a></li>
<li><a name="stoc-operatingsystem" href="#toc-operatingsystem">78 operatingsystem</a></li>
<li><a name="stoc-opsubst" href="#toc-opsubst">79 opsubst</a></li>
<li><a name="stoc-orthopoly" href="#toc-orthopoly">80 orthopoly</a></li>
<li><a name="stoc-pslq" href="#toc-pslq">81 pslq</a></li>
<li><a name="stoc-pytranslate-1" href="#toc-pytranslate-1">82 pytranslate</a></li>
<li><a name="stoc-quantum_005fcomputing_002dpkg-1" href="#toc-quantum_005fcomputing_002dpkg-1">83 quantum_computing-pkg</a></li>
<li><a name="stoc-ratpow" href="#toc-ratpow">84 ratpow</a></li>
<li><a name="stoc-romberg" href="#toc-romberg">85 romberg</a></li>
<li><a name="stoc-simplex" href="#toc-simplex">86 simplex</a></li>
<li><a name="stoc-simplification" href="#toc-simplification">87 simplification</a></li>
<li><a name="stoc-solve_005frec-1" href="#toc-solve_005frec-1">88 solve_rec</a></li>
<li><a name="stoc-stats" href="#toc-stats">89 stats</a></li>
<li><a name="stoc-stirling-1" href="#toc-stirling-1">90 stirling</a></li>
<li><a name="stoc-stringproc" href="#toc-stringproc">91 stringproc</a></li>
<li><a name="stoc-to_005fpoly_005fsolve" href="#toc-to_005fpoly_005fsolve">92 to_poly_solve</a></li>
<li><a name="stoc-unit" href="#toc-unit">93 unit</a></li>
<li><a name="stoc-wrstcse" href="#toc-wrstcse">94 wrstcse</a></li>
<li><a name="stoc-zeilberger" href="#toc-zeilberger">95 zeilberger</a></li>
<li><a name="stoc-trigtools" href="#toc-trigtools">96 trigtools</a></li>
<li><a name="stoc-Error-and-warning-messages-1" href="#toc-Error-and-warning-messages-1">97 Error and warning messages</a></li>
<li><a name="stoc-Command_002dline-options-1" href="#toc-Command_002dline-options-1">98 Command-line options</a></li>
<li><a name="stoc-Function-and-Variable-Index-1" href="#toc-Function-and-Variable-Index-1">Appendix A Function and Variable Index</a></li>
<li><a name="stoc-Documentation-Categories-1" href="#toc-Documentation-Categories-1">Appendix B Documentation Categories</a></li>
</ul>
</div>
<a name="SEC_Contents"></a>
<h2 class="contents-heading">Table of Contents</h2>
<div class="contents">
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Maxima-1" href="maxima.html#Introduction-to-Maxima">1 Introduction to Maxima</a></li>
<li><a name="toc-Bug-Detection-and-Reporting-1" href="maxima_1.html#Bug-Detection-and-Reporting">2 Bug Detection and Reporting</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Bug-Detection-and-Reporting-1" href="maxima_2.html#Functions-and-Variables-for-Bug-Detection-and-Reporting">2.1 Functions and Variables for Bug Detection and Reporting</a></li>
</ul></li>
<li><a name="toc-Help-1" href="maxima_3.html#Help">3 Help</a>
<ul class="no-bullet">
<li><a name="toc-Documentation-1" href="maxima_4.html#Documentation">3.1 Documentation</a></li>
<li><a name="toc-Functions-and-Variables-for-Help-1" href="maxima_5.html#Functions-and-Variables-for-Help">3.2 Functions and Variables for Help</a></li>
</ul></li>
<li><a name="toc-Command-Line-1" href="maxima_6.html#Command-Line">4 Command Line</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Command-Line-1" href="maxima_7.html#Introduction-to-Command-Line">4.1 Introduction to Command Line</a></li>
<li><a name="toc-Functions-and-Variables-for-Command-Line-1" href="maxima_8.html#Functions-and-Variables-for-Command-Line">4.2 Functions and Variables for Command Line</a></li>
<li><a name="toc-Functions-and-Variables-for-Display-1" href="maxima_9.html#Functions-and-Variables-for-Display">4.3 Functions and Variables for Display</a></li>
</ul></li>
<li><a name="toc-Data-Types-and-Structures-1" href="maxima_10.html#Data-Types-and-Structures">5 Data Types and Structures</a>
<ul class="no-bullet">
<li><a name="toc-Numbers-1" href="maxima_11.html#Numbers">5.1 Numbers</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Numbers-1" href="maxima_12.html#Introduction-to-Numbers">5.1.1 Introduction to Numbers</a></li>
<li><a name="toc-Functions-and-Variables-for-Numbers-1" href="maxima_13.html#Functions-and-Variables-for-Numbers">5.1.2 Functions and Variables for Numbers</a></li>
</ul></li>
<li><a name="toc-Strings-1" href="maxima_14.html#Strings">5.2 Strings</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Strings-1" href="maxima_15.html#Introduction-to-Strings">5.2.1 Introduction to Strings</a></li>
<li><a name="toc-Functions-and-Variables-for-Strings-1" href="maxima_16.html#Functions-and-Variables-for-Strings">5.2.2 Functions and Variables for Strings</a></li>
</ul></li>
<li><a name="toc-Constants-1" href="maxima_17.html#Constants">5.3 Constants</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Constants-1" href="maxima_18.html#Functions-and-Variables-for-Constants">5.3.1 Functions and Variables for Constants</a></li>
</ul></li>
<li><a name="toc-Lists-1" href="maxima_19.html#Lists">5.4 Lists</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Lists-1" href="maxima_20.html#Introduction-to-Lists">5.4.1 Introduction to Lists</a></li>
<li><a name="toc-Functions-and-Variables-for-Lists-1" href="maxima_21.html#Functions-and-Variables-for-Lists">5.4.2 Functions and Variables for Lists</a></li>
<li><a name="toc-Performance-considerations-for-Lists-1" href="maxima_22.html#Performance-considerations-for-Lists">5.4.3 Performance considerations for Lists</a></li>
</ul></li>
<li><a name="toc-Arrays-1" href="maxima_23.html#Arrays">5.5 Arrays</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Arrays-1" href="maxima_24.html#Functions-and-Variables-for-Arrays">5.5.1 Functions and Variables for Arrays</a></li>
</ul></li>
<li><a name="toc-Structures-1" href="maxima_25.html#Structures">5.6 Structures</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Structures-1" href="maxima_26.html#Introduction-to-Structures">5.6.1 Introduction to Structures</a></li>
<li><a name="toc-Functions-and-Variables-for-Structures-1" href="maxima_27.html#Functions-and-Variables-for-Structures">5.6.2 Functions and Variables for Structures</a></li>
</ul></li>
</ul></li>
<li><a name="toc-Expressions-1" href="maxima_28.html#Expressions">6 Expressions</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Expressions-1" href="maxima_29.html#Introduction-to-Expressions">6.1 Introduction to Expressions</a></li>
<li><a name="toc-Nouns-and-Verbs-1" href="maxima_30.html#Nouns-and-Verbs">6.2 Nouns and Verbs</a></li>
<li><a name="toc-Identifiers-1" href="maxima_31.html#Identifiers">6.3 Identifiers</a></li>
<li><a name="toc-Inequality-1" href="maxima_32.html#Inequality">6.4 Inequality</a></li>
<li><a name="toc-Functions-and-Variables-for-Expressions-1" href="maxima_33.html#Functions-and-Variables-for-Expressions">6.5 Functions and Variables for Expressions</a></li>
</ul></li>
<li><a name="toc-Operators-1" href="maxima_34.html#Operators">7 Operators</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-operators-1" href="maxima_35.html#Introduction-to-operators">7.1 Introduction to operators</a></li>
<li><a name="toc-Arithmetic-operators-1" href="maxima_36.html#Arithmetic-operators">7.2 Arithmetic operators</a></li>
<li><a name="toc-Relational-operators-1" href="maxima_37.html#Relational-operators">7.3 Relational operators</a></li>
<li><a name="toc-Logical-operators-1" href="maxima_38.html#Logical-operators">7.4 Logical operators</a></li>
<li><a name="toc-Operators-for-Equations-1" href="maxima_39.html#Operators-for-Equations">7.5 Operators for Equations</a></li>
<li><a name="toc-Assignment-operators-1" href="maxima_40.html#Assignment-operators">7.6 Assignment operators</a></li>
<li><a name="toc-User-defined-operators-1" href="maxima_41.html#User-defined-operators">7.7 User defined operators</a></li>
</ul></li>
<li><a name="toc-Evaluation-1" href="maxima_42.html#Evaluation">8 Evaluation</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Evaluation-1" href="maxima_43.html#Functions-and-Variables-for-Evaluation">8.1 Functions and Variables for Evaluation</a></li>
</ul></li>
<li><a name="toc-Simplification-1" href="maxima_44.html#Simplification">9 Simplification</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Simplification-1" href="maxima_45.html#Introduction-to-Simplification">9.1 Introduction to Simplification</a></li>
<li><a name="toc-Functions-and-Variables-for-Simplification-1" href="maxima_46.html#Functions-and-Variables-for-Simplification">9.2 Functions and Variables for Simplification</a></li>
</ul></li>
<li><a name="toc-Elementary-Functions-1" href="maxima_47.html#Elementary-Functions">10 Elementary Functions</a>
<ul class="no-bullet">
<li><a name="toc-Functions-for-Numbers-1" href="maxima_48.html#Functions-for-Numbers">10.1 Functions for Numbers</a></li>
<li><a name="toc-Functions-for-Complex-Numbers-1" href="maxima_49.html#Functions-for-Complex-Numbers">10.2 Functions for Complex Numbers</a></li>
<li><a name="toc-Combinatorial-Functions-1" href="maxima_50.html#Combinatorial-Functions">10.3 Combinatorial Functions</a></li>
<li><a name="toc-Root_002c-Exponential-and-Logarithmic-Functions" href="maxima_51.html#Root-Exponential-and-Logarithmic-Functions">10.4 Root, Exponential and Logarithmic Functions</a></li>
<li><a name="toc-Trigonometric-Functions-1" href="maxima_52.html#Trigonometric-Functions">10.5 Trigonometric Functions</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Trigonometric-1" href="maxima_53.html#Introduction-to-Trigonometric">10.5.1 Introduction to Trigonometric</a></li>
<li><a name="toc-Functions-and-Variables-for-Trigonometric-1" href="maxima_54.html#Functions-and-Variables-for-Trigonometric">10.5.2 Functions and Variables for Trigonometric</a>
<ul class="no-bullet">
<li><a name="toc-Trigonometric-and-Hyperbolic-Functions-1" href="maxima_55.html#Trigonometric-and-Hyperbolic-Functions">10.5.2.1 Trigonometric and Hyperbolic Functions</a></li>
<li><a name="toc-Options-Controlling-Simplification-1" href="maxima_56.html#Options-Controlling-Simplification">10.5.2.2 Options Controlling Simplification</a></li>
<li><a name="toc-Explicit-Simplifications-Using-Identities-1" href="maxima_57.html#Explicit-Simplifications-Using-Identities">10.5.2.3 Explicit Simplifications Using Identities</a></li>
<li><a name="toc-Additional-Functions-1" href="maxima_58.html#Additional-Functions">10.5.2.4 Additional Functions</a></li>
</ul></li>
</ul></li>
<li><a name="toc-Random-Numbers-1" href="maxima_59.html#Random-Numbers">10.6 Random Numbers</a></li>
</ul></li>
<li><a name="toc-Maxima_0027s-Database-1" href="maxima_60.html#Maxima_0027s-Database">11 Maxima’s Database</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Maxima_0027s-Database-1" href="maxima_61.html#Introduction-to-Maxima_0027s-Database">11.1 Introduction to Maxima’s Database</a></li>
<li><a name="toc-Functions-and-Variables-for-Properties-1" href="maxima_62.html#Functions-and-Variables-for-Properties">11.2 Functions and Variables for Properties</a></li>
<li><a name="toc-Functions-and-Variables-for-Facts-1" href="maxima_63.html#Functions-and-Variables-for-Facts">11.3 Functions and Variables for Facts</a></li>
<li><a name="toc-Functions-and-Variables-for-Predicates-1" href="maxima_64.html#Functions-and-Variables-for-Predicates">11.4 Functions and Variables for Predicates</a></li>
</ul></li>
<li><a name="toc-Plotting-1" href="maxima_65.html#Plotting">12 Plotting</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Plotting-1" href="maxima_66.html#Introduction-to-Plotting">12.1 Introduction to Plotting</a></li>
<li><a name="toc-Plotting-Formats-1" href="maxima_67.html#Plotting-Formats">12.2 Plotting Formats</a></li>
<li><a name="toc-Functions-and-Variables-for-Plotting-1" href="maxima_68.html#Functions-and-Variables-for-Plotting">12.3 Functions and Variables for Plotting</a></li>
<li><a name="toc-Plotting-Options-1" href="maxima_69.html#Plotting-Options">12.4 Plotting Options</a></li>
<li><a name="toc-Gnuplot-Options-1" href="maxima_70.html#Gnuplot-Options">12.5 Gnuplot Options</a></li>
<li><a name="toc-Gnuplot_005fpipes-Format-Functions-1" href="maxima_71.html#Gnuplot_005fpipes-Format-Functions">12.6 Gnuplot_pipes Format Functions</a></li>
</ul></li>
<li><a name="toc-File-Input-and-Output-1" href="maxima_72.html#File-Input-and-Output">13 File Input and Output</a>
<ul class="no-bullet">
<li><a name="toc-Comments-1" href="maxima_73.html#Comments">13.1 Comments</a></li>
<li><a name="toc-Files-1" href="maxima_74.html#Files">13.2 Files</a></li>
<li><a name="toc-Functions-and-Variables-for-File-Input-and-Output-1" href="maxima_75.html#Functions-and-Variables-for-File-Input-and-Output">13.3 Functions and Variables for File Input and Output</a></li>
<li><a name="toc-Functions-and-Variables-for-TeX-Output-1" href="maxima_76.html#Functions-and-Variables-for-TeX-Output">13.4 Functions and Variables for TeX Output</a></li>
<li><a name="toc-Functions-and-Variables-for-Fortran-Output-1" href="maxima_77.html#Functions-and-Variables-for-Fortran-Output">13.5 Functions and Variables for Fortran Output</a></li>
</ul></li>
<li><a name="toc-Polynomials-1" href="maxima_78.html#Polynomials">14 Polynomials</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Polynomials-1" href="maxima_79.html#Introduction-to-Polynomials">14.1 Introduction to Polynomials</a></li>
<li><a name="toc-Functions-and-Variables-for-Polynomials-1" href="maxima_80.html#Functions-and-Variables-for-Polynomials">14.2 Functions and Variables for Polynomials</a></li>
<li><a name="toc-Introduction-to-algebraic-extensions-1" href="maxima_81.html#Introduction-to-algebraic-extensions">14.3 Introduction to algebraic extensions</a></li>
<li><a name="toc-Functions-and-Variables-for-algebraic-extensions-1" href="maxima_82.html#Functions-and-Variables-for-algebraic-extensions">14.4 Functions and Variables for algebraic extensions</a></li>
</ul></li>
<li><a name="toc-Special-Functions-1" href="maxima_83.html#Special-Functions">15 Special Functions</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Special-Functions-1" href="maxima_84.html#Introduction-to-Special-Functions">15.1 Introduction to Special Functions</a></li>
<li><a name="toc-Bessel-Functions-1" href="maxima_85.html#Bessel-Functions">15.2 Bessel Functions</a></li>
<li><a name="toc-Airy-Functions-1" href="maxima_86.html#Airy-Functions">15.3 Airy Functions</a></li>
<li><a name="toc-Gamma-and-Factorial-Functions-1" href="maxima_87.html#Gamma-and-Factorial-Functions">15.4 Gamma and Factorial Functions</a></li>
<li><a name="toc-Exponential-Integrals-1" href="maxima_88.html#Exponential-Integrals">15.5 Exponential Integrals</a></li>
<li><a name="toc-Error-Function-1" href="maxima_89.html#Error-Function">15.6 Error Function</a></li>
<li><a name="toc-Struve-Functions-1" href="maxima_90.html#Struve-Functions">15.7 Struve Functions</a></li>
<li><a name="toc-Hypergeometric-Functions-1" href="maxima_91.html#Hypergeometric-Functions">15.8 Hypergeometric Functions</a></li>
<li><a name="toc-Parabolic-Cylinder-Functions-1" href="maxima_92.html#Parabolic-Cylinder-Functions">15.9 Parabolic Cylinder Functions</a></li>
<li><a name="toc-Functions-and-Variables-for-Special-Functions-1" href="maxima_93.html#Functions-and-Variables-for-Special-Functions">15.10 Functions and Variables for Special Functions</a></li>
</ul></li>
<li><a name="toc-Elliptic-Functions-1" href="maxima_94.html#Elliptic-Functions">16 Elliptic Functions</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Elliptic-Functions-and-Integrals-1" href="maxima_95.html#Introduction-to-Elliptic-Functions-and-Integrals">16.1 Introduction to Elliptic Functions and Integrals</a></li>
<li><a name="toc-Functions-and-Variables-for-Elliptic-Functions-1" href="maxima_96.html#Functions-and-Variables-for-Elliptic-Functions">16.2 Functions and Variables for Elliptic Functions</a></li>
<li><a name="toc-Functions-and-Variables-for-Elliptic-Integrals-1" href="maxima_97.html#Functions-and-Variables-for-Elliptic-Integrals">16.3 Functions and Variables for Elliptic Integrals</a></li>
</ul></li>
<li><a name="toc-Limits-1" href="maxima_98.html#Limits">17 Limits</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Limits-1" href="maxima_99.html#Functions-and-Variables-for-Limits">17.1 Functions and Variables for Limits</a></li>
</ul></li>
<li><a name="toc-Differentiation-1" href="maxima_100.html#Differentiation">18 Differentiation</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Differentiation-1" href="maxima_101.html#Functions-and-Variables-for-Differentiation">18.1 Functions and Variables for Differentiation</a></li>
</ul></li>
<li><a name="toc-Integration-1" href="maxima_102.html#Integration">19 Integration</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Integration-1" href="maxima_103.html#Introduction-to-Integration">19.1 Introduction to Integration</a></li>
<li><a name="toc-Functions-and-Variables-for-Integration-1" href="maxima_104.html#Functions-and-Variables-for-Integration">19.2 Functions and Variables for Integration</a></li>
<li><a name="toc-Introduction-to-QUADPACK-1" href="maxima_105.html#Introduction-to-QUADPACK">19.3 Introduction to QUADPACK</a>
<ul class="no-bullet">
<li><a name="toc-Overview" href="maxima_105.html#Overview">19.3.1 Overview</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-QUADPACK-1" href="maxima_106.html#Functions-and-Variables-for-QUADPACK">19.4 Functions and Variables for QUADPACK</a></li>
</ul></li>
<li><a name="toc-Equations-1" href="maxima_107.html#Equations">20 Equations</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Equations-1" href="maxima_108.html#Functions-and-Variables-for-Equations">20.1 Functions and Variables for Equations</a></li>
</ul></li>
<li><a name="toc-Differential-Equations-1" href="maxima_109.html#Differential-Equations">21 Differential Equations</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Differential-Equations-1" href="maxima_110.html#Introduction-to-Differential-Equations">21.1 Introduction to Differential Equations</a></li>
<li><a name="toc-Functions-and-Variables-for-Differential-Equations-1" href="maxima_111.html#Functions-and-Variables-for-Differential-Equations">21.2 Functions and Variables for Differential Equations</a></li>
</ul></li>
<li><a name="toc-Numerical-1" href="maxima_112.html#Numerical">22 Numerical</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-fast-Fourier-transform-1" href="maxima_113.html#Introduction-to-fast-Fourier-transform">22.1 Introduction to fast Fourier transform</a></li>
<li><a name="toc-Functions-and-Variables-for-fft" href="maxima_114.html#Functions-and-Variables-for-fast-Fourier-transform">22.2 Functions and Variables for fft</a></li>
<li><a name="toc-Functions-and-Variables-for-FFTPACK5-1" href="maxima_115.html#Functions-and-Variables-for-FFTPACK5">22.3 Functions and Variables for FFTPACK5</a></li>
<li><a name="toc-Functions-for-numerical-solution-of-equations-1" href="maxima_116.html#Functions-for-numerical-solution-of-equations">22.4 Functions for numerical solution of equations</a></li>
<li><a name="toc-Introduction-to-numerical-solution-of-differential-equations-1" href="maxima_117.html#Introduction-to-numerical-solution-of-differential-equations">22.5 Introduction to numerical solution of differential equations</a></li>
<li><a name="toc-Functions-for-numerical-solution-of-differential-equations-1" href="maxima_118.html#Functions-for-numerical-solution-of-differential-equations">22.6 Functions for numerical solution of differential equations</a></li>
</ul></li>
<li><a name="toc-Matrices-and-Linear-Algebra-1" href="maxima_119.html#Matrices-and-Linear-Algebra">23 Matrices and Linear Algebra</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Matrices-and-Linear-Algebra-1" href="maxima_120.html#Introduction-to-Matrices-and-Linear-Algebra">23.1 Introduction to Matrices and Linear Algebra</a>
<ul class="no-bullet">
<li><a name="toc-Dot-1" href="maxima_121.html#Dot">23.1.1 Dot</a></li>
<li><a name="toc-Matrices-1" href="maxima_122.html#Matrices">23.1.2 Matrices</a></li>
<li><a name="toc-Vectors-1" href="maxima_123.html#Vectors">23.1.3 Vectors</a></li>
<li><a name="toc-eigen-1" href="maxima_124.html#eigen">23.1.4 eigen</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-Matrices-and-Linear-Algebra-1" href="maxima_125.html#Functions-and-Variables-for-Matrices-and-Linear-Algebra">23.2 Functions and Variables for Matrices and Linear Algebra</a></li>
</ul></li>
<li><a name="toc-Affine-1" href="maxima_126.html#Affine">24 Affine</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Affine-1" href="maxima_127.html#Introduction-to-Affine">24.1 Introduction to Affine</a></li>
<li><a name="toc-Functions-and-Variables-for-Affine-1" href="maxima_128.html#Functions-and-Variables-for-Affine">24.2 Functions and Variables for Affine</a></li>
</ul></li>
<li><a name="toc-itensor-1" href="maxima_129.html#itensor">25 itensor</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-itensor-1" href="maxima_130.html#Introduction-to-itensor">25.1 Introduction to itensor</a>
<ul class="no-bullet">
<li><a name="toc-New-tensor-notation" href="maxima_130.html#New-tensor-notation">25.1.1 New tensor notation</a></li>
<li><a name="toc-Indicial-tensor-manipulation" href="maxima_130.html#Indicial-tensor-manipulation">25.1.2 Indicial tensor manipulation</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-itensor-1" href="maxima_131.html#Functions-and-Variables-for-itensor">25.2 Functions and Variables for itensor</a>
<ul class="no-bullet">
<li><a name="toc-Managing-indexed-objects" href="maxima_131.html#Managing-indexed-objects">25.2.1 Managing indexed objects</a></li>
<li><a name="toc-Tensor-symmetries" href="maxima_131.html#Tensor-symmetries">25.2.2 Tensor symmetries</a></li>
<li><a name="toc-Indicial-tensor-calculus" href="maxima_131.html#Indicial-tensor-calculus">25.2.3 Indicial tensor calculus</a></li>
<li><a name="toc-Tensors-in-curved-spaces" href="maxima_131.html#Tensors-in-curved-spaces">25.2.4 Tensors in curved spaces</a></li>
<li><a name="toc-Moving-frames" href="maxima_131.html#Moving-frames">25.2.5 Moving frames</a></li>
<li><a name="toc-Torsion-and-nonmetricity" href="maxima_131.html#Torsion-and-nonmetricity">25.2.6 Torsion and nonmetricity</a></li>
<li><a name="toc-Exterior-algebra" href="maxima_131.html#Exterior-algebra">25.2.7 Exterior algebra</a></li>
<li><a name="toc-Exporting-TeX-expressions" href="maxima_131.html#Exporting-TeX-expressions">25.2.8 Exporting TeX expressions</a></li>
<li><a name="toc-Interfacing-with-ctensor" href="maxima_131.html#Interfacing-with-ctensor">25.2.9 Interfacing with ctensor</a></li>
<li><a name="toc-Reserved-words" href="maxima_131.html#Reserved-words">25.2.10 Reserved words</a></li>
</ul></li>
</ul></li>
<li><a name="toc-ctensor-1" href="maxima_132.html#ctensor">26 ctensor</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-ctensor-1" href="maxima_133.html#Introduction-to-ctensor">26.1 Introduction to ctensor</a></li>
<li><a name="toc-Functions-and-Variables-for-ctensor-1" href="maxima_134.html#Functions-and-Variables-for-ctensor">26.2 Functions and Variables for ctensor</a>
<ul class="no-bullet">
<li><a name="toc-Initialization-and-setup" href="maxima_134.html#Initialization-and-setup">26.2.1 Initialization and setup</a></li>
<li><a name="toc-The-tensors-of-curved-space" href="maxima_134.html#The-tensors-of-curved-space">26.2.2 The tensors of curved space</a></li>
<li><a name="toc-Taylor-series-expansion" href="maxima_134.html#Taylor-series-expansion">26.2.3 Taylor series expansion</a></li>
<li><a name="toc-Frame-fields" href="maxima_134.html#Frame-fields">26.2.4 Frame fields</a></li>
<li><a name="toc-Algebraic-classification" href="maxima_134.html#Algebraic-classification">26.2.5 Algebraic classification</a></li>
<li><a name="toc-Torsion-and-nonmetricity-1" href="maxima_134.html#Torsion-and-nonmetricity-1">26.2.6 Torsion and nonmetricity</a></li>
<li><a name="toc-Miscellaneous-features" href="maxima_134.html#Miscellaneous-features">26.2.7 Miscellaneous features</a></li>
<li><a name="toc-Utility-functions" href="maxima_134.html#Utility-functions">26.2.8 Utility functions</a></li>
<li><a name="toc-Variables-used-by-ctensor" href="maxima_134.html#Variables-used-by-ctensor">26.2.9 Variables used by <code>ctensor</code></a></li>
<li><a name="toc-Reserved-names" href="maxima_134.html#Reserved-names">26.2.10 Reserved names</a></li>
<li><a name="toc-Changes" href="maxima_134.html#Changes">26.2.11 Changes</a></li>
</ul></li>
</ul></li>
<li><a name="toc-atensor-1" href="maxima_135.html#atensor">27 atensor</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-atensor-1" href="maxima_136.html#Introduction-to-atensor">27.1 Introduction to atensor</a></li>
<li><a name="toc-Functions-and-Variables-for-atensor-1" href="maxima_137.html#Functions-and-Variables-for-atensor">27.2 Functions and Variables for atensor</a></li>
</ul></li>
<li><a name="toc-Sums_002c-Products_002c-and-Series" href="maxima_138.html#Sums-Products-and-Series">28 Sums, Products, and Series</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Sums-and-Products-1" href="maxima_139.html#Functions-and-Variables-for-Sums-and-Products">28.1 Functions and Variables for Sums and Products</a></li>
<li><a name="toc-Introduction-to-Series-1" href="maxima_140.html#Introduction-to-Series">28.2 Introduction to Series</a></li>
<li><a name="toc-Functions-and-Variables-for-Series-1" href="maxima_141.html#Functions-and-Variables-for-Series">28.3 Functions and Variables for Series</a></li>
<li><a name="toc-Introduction-to-Fourier-series-1" href="maxima_142.html#Introduction-to-Fourier-series">28.4 Introduction to Fourier series</a></li>
<li><a name="toc-Functions-and-Variables-for-Fourier-series-1" href="maxima_143.html#Functions-and-Variables-for-Fourier-series">28.5 Functions and Variables for Fourier series</a></li>
<li><a name="toc-Functions-and-Variables-for-Poisson-series-1" href="maxima_144.html#Functions-and-Variables-for-Poisson-series">28.6 Functions and Variables for Poisson series</a></li>
</ul></li>
<li><a name="toc-Number-Theory-1" href="maxima_145.html#Number-Theory">29 Number Theory</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Number-Theory-1" href="maxima_146.html#Functions-and-Variables-for-Number-Theory">29.1 Functions and Variables for Number Theory</a></li>
</ul></li>
<li><a name="toc-Symmetries-1" href="maxima_147.html#Symmetries">30 Symmetries</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Symmetries-1" href="maxima_148.html#Introduction-to-Symmetries">30.1 Introduction to Symmetries</a></li>
<li><a name="toc-Functions-and-Variables-for-Symmetries-1" href="maxima_149.html#Functions-and-Variables-for-Symmetries">30.2 Functions and Variables for Symmetries</a>
<ul class="no-bullet">
<li><a name="toc-Changing-bases" href="maxima_149.html#Changing-bases">30.2.1 Changing bases</a></li>
<li><a name="toc-Changing-representations" href="maxima_149.html#Changing-representations">30.2.2 Changing representations</a></li>
<li><a name="toc-Groups-and-orbits" href="maxima_149.html#Groups-and-orbits">30.2.3 Groups and orbits</a></li>
<li><a name="toc-Partitions" href="maxima_149.html#Partitions">30.2.4 Partitions</a></li>
<li><a name="toc-Polynomials-and-their-roots" href="maxima_149.html#Polynomials-and-their-roots">30.2.5 Polynomials and their roots</a></li>
<li><a name="toc-Resolvents" href="maxima_149.html#Resolvents">30.2.6 Resolvents</a></li>
<li><a name="toc-Miscellaneous" href="maxima_149.html#Miscellaneous">30.2.7 Miscellaneous</a></li>
</ul></li>
</ul></li>
<li><a name="toc-Groups-1" href="maxima_150.html#Groups">31 Groups</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Groups-1" href="maxima_151.html#Functions-and-Variables-for-Groups">31.1 Functions and Variables for Groups</a></li>
</ul></li>
<li><a name="toc-Runtime-Environment-1" href="maxima_152.html#Runtime-Environment">32 Runtime Environment</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-for-Runtime-Environment-1" href="maxima_153.html#Introduction-for-Runtime-Environment">32.1 Introduction for Runtime Environment</a></li>
<li><a name="toc-Interrupts-1" href="maxima_154.html#Interrupts">32.2 Interrupts</a></li>
<li><a name="toc-Functions-and-Variables-for-Runtime-Environment-1" href="maxima_155.html#Functions-and-Variables-for-Runtime-Environment">32.3 Functions and Variables for Runtime Environment</a></li>
</ul></li>
<li><a name="toc-Miscellaneous-Options-1" href="maxima_156.html#Miscellaneous-Options">33 Miscellaneous Options</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Miscellaneous-Options-1" href="maxima_157.html#Introduction-to-Miscellaneous-Options">33.1 Introduction to Miscellaneous Options</a></li>
<li><a name="toc-Share-1" href="maxima_158.html#Share">33.2 Share</a></li>
<li><a name="toc-Functions-and-Variables-for-Miscellaneous-Options-1" href="maxima_159.html#Functions-and-Variables-for-Miscellaneous-Options">33.3 Functions and Variables for Miscellaneous Options</a></li>
</ul></li>
<li><a name="toc-Rules-and-Patterns-1" href="maxima_160.html#Rules-and-Patterns">34 Rules and Patterns</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Rules-and-Patterns-1" href="maxima_161.html#Introduction-to-Rules-and-Patterns">34.1 Introduction to Rules and Patterns</a></li>
<li><a name="toc-Functions-and-Variables-for-Rules-and-Patterns-1" href="maxima_162.html#Functions-and-Variables-for-Rules-and-Patterns">34.2 Functions and Variables for Rules and Patterns</a></li>
</ul></li>
<li><a name="toc-Sets-1" href="maxima_163.html#Sets">35 Sets</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Sets-1" href="maxima_164.html#Introduction-to-Sets">35.1 Introduction to Sets</a>
<ul class="no-bullet">
<li><a name="toc-Usage" href="maxima_164.html#Usage">35.1.1 Usage</a></li>
<li><a name="toc-Set-Member-Iteration" href="maxima_164.html#Set-Member-Iteration">35.1.2 Set Member Iteration</a></li>
<li><a name="toc-Authors" href="maxima_164.html#Authors">35.1.3 Authors</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-Sets-1" href="maxima_165.html#Functions-and-Variables-for-Sets">35.2 Functions and Variables for Sets</a></li>
</ul></li>
<li><a name="toc-Function-Definition-1" href="maxima_166.html#Function-Definition">36 Function Definition</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Function-Definition-1" href="maxima_167.html#Introduction-to-Function-Definition">36.1 Introduction to Function Definition</a></li>
<li><a name="toc-Function-1" href="maxima_168.html#Function">36.2 Function</a>
<ul class="no-bullet">
<li><a name="toc-Ordinary-functions" href="maxima_168.html#Ordinary-functions">36.2.1 Ordinary functions</a></li>
<li><a name="toc-Memoizing-Functions" href="maxima_168.html#Memoizing-Functions">36.2.2 Memoizing Functions</a></li>
</ul></li>
<li><a name="toc-Macros-1" href="maxima_169.html#Macros">36.3 Macros</a></li>
<li><a name="toc-Functions-and-Variables-for-Function-Definition-1" href="maxima_170.html#Functions-and-Variables-for-Function-Definition">36.4 Functions and Variables for Function Definition</a></li>
</ul></li>
<li><a name="toc-Program-Flow-1" href="maxima_171.html#Program-Flow">37 Program Flow</a>
<ul class="no-bullet">
<li><a name="toc-Lisp-and-Maxima-1" href="maxima_172.html#Lisp-and-Maxima">37.1 Lisp and Maxima</a></li>
<li><a name="toc-Garbage-Collection-1" href="maxima_173.html#Garbage-Collection">37.2 Garbage Collection</a></li>
<li><a name="toc-Introduction-to-Program-Flow-1" href="maxima_174.html#Introduction-to-Program-Flow">37.3 Introduction to Program Flow</a></li>
<li><a name="toc-Functions-and-Variables-for-Program-Flow-1" href="maxima_175.html#Functions-and-Variables-for-Program-Flow">37.4 Functions and Variables for Program Flow</a></li>
</ul></li>
<li><a name="toc-Debugging-1" href="maxima_176.html#Debugging">38 Debugging</a>
<ul class="no-bullet">
<li><a name="toc-Source-Level-Debugging-1" href="maxima_177.html#Source-Level-Debugging">38.1 Source Level Debugging</a></li>
<li><a name="toc-Keyword-Commands-1" href="maxima_178.html#Keyword-Commands">38.2 Keyword Commands</a></li>
<li><a name="toc-Functions-and-Variables-for-Debugging-1" href="maxima_179.html#Functions-and-Variables-for-Debugging">38.3 Functions and Variables for Debugging</a></li>
</ul></li>
<li><a name="toc-alt_002ddisplay" href="maxima_180.html#alt_002ddisplay_002dpkg">39 alt-display</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-alt_002ddisplay-1" href="maxima_181.html#Introduction-to-alt_002ddisplay">39.1 Introduction to alt-display</a></li>
<li><a name="toc-Functions-and-Variables-for-alt_002ddisplay-1" href="maxima_182.html#Functions-and-Variables-for-alt_002ddisplay">39.2 Functions and Variables for alt-display</a></li>
</ul></li>
<li><a name="toc-asympa-1" href="maxima_183.html#asympa_002dpkg">40 asympa</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-asympa-1" href="maxima_184.html#Introduction-to-asympa">40.1 Introduction to asympa</a></li>
<li><a name="toc-Functions-and-variables-for-asympa-1" href="maxima_185.html#Functions-and-variables-for-asympa">40.2 Functions and variables for asympa</a></li>
</ul></li>
<li><a name="toc-augmented_005flagrangian" href="maxima_186.html#augmented_005flagrangian_002dpkg">41 augmented_lagrangian</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-augmented_005flagrangian-1" href="maxima_187.html#Functions-and-Variables-for-augmented_005flagrangian">41.1 Functions and Variables for augmented_lagrangian</a></li>
</ul></li>
<li><a name="toc-Bernstein" href="maxima_188.html#Bernstein_002dpkg">42 Bernstein</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-Bernstein-1" href="maxima_189.html#Functions-and-Variables-for-Bernstein">42.1 Functions and Variables for Bernstein</a></li>
</ul></li>
<li><a name="toc-bitwise" href="maxima_190.html#bitwise_002dpkg">43 bitwise</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-bitwise-1" href="maxima_191.html#Functions-and-Variables-for-bitwise">43.1 Functions and Variables for bitwise</a></li>
</ul></li>
<li><a name="toc-bode" href="maxima_192.html#bode_002dpkg">44 bode</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-bode-1" href="maxima_193.html#Functions-and-Variables-for-bode">44.1 Functions and Variables for bode</a></li>
</ul></li>
<li><a name="toc-celine" href="maxima_194.html#celine_002dpkg">45 celine</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-celine-1" href="maxima_195.html#Introduction-to-celine">45.1 Introduction to celine</a></li>
</ul></li>
<li><a name="toc-clebsch_005fgordan-1" href="maxima_196.html#clebsch_005fgordan_002dpkg">46 clebsch_gordan</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-clebsch_005fgordan-1" href="maxima_197.html#Functions-and-Variables-for-clebsch_005fgordan">46.1 Functions and Variables for clebsch_gordan</a></li>
</ul></li>
<li><a name="toc-cobyla" href="maxima_198.html#cobyla_002dpkg">47 cobyla</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-cobyla-1" href="maxima_199.html#Introduction-to-cobyla">47.1 Introduction to cobyla</a></li>
<li><a name="toc-Functions-and-Variables-for-cobyla-1" href="maxima_200.html#Functions-and-Variables-for-cobyla">47.2 Functions and Variables for cobyla</a></li>
<li><a name="toc-Examples-for-cobyla-1" href="maxima_201.html#Examples-for-cobyla">47.3 Examples for cobyla</a></li>
</ul></li>
<li><a name="toc-combinatorics" href="maxima_202.html#combinatorics_002dpkg">48 combinatorics</a>
<ul class="no-bullet">
<li><a name="toc-Package-combinatorics-1" href="maxima_203.html#Package-combinatorics">48.1 Package combinatorics</a></li>
<li><a name="toc-Functions-and-Variables-for-Combinatorics-1" href="maxima_204.html#Functions-and-Variables-for-Combinatorics">48.2 Functions and Variables for Combinatorics</a></li>
</ul></li>
<li><a name="toc-contrib_005fode-1" href="maxima_205.html#contrib_005fode_002dpkg">49 contrib_ode</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-contrib_005fode-1" href="maxima_206.html#Introduction-to-contrib_005fode">49.1 Introduction to contrib_ode</a></li>
<li><a name="toc-Functions-and-Variables-for-contrib_005fode-1" href="maxima_207.html#Functions-and-Variables-for-contrib_005fode">49.2 Functions and Variables for contrib_ode</a></li>
<li><a name="toc-Possible-improvements-to-contrib_005fode-1" href="maxima_208.html#Possible-improvements-to-contrib_005fode">49.3 Possible improvements to contrib_ode</a></li>
<li><a name="toc-Test-cases-for-contrib_005fode-1" href="maxima_209.html#Test-cases-for-contrib_005fode">49.4 Test cases for contrib_ode</a></li>
<li><a name="toc-References-for-contrib_005fode-1" href="maxima_210.html#References-for-contrib_005fode">49.5 References for contrib_ode</a></li>
</ul></li>
<li><a name="toc-descriptive" href="maxima_211.html#descriptive_002dpkg">50 descriptive</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-descriptive-1" href="maxima_212.html#Introduction-to-descriptive">50.1 Introduction to descriptive</a></li>
<li><a name="toc-Functions-and-Variables-for-data-manipulation-1" href="maxima_213.html#Functions-and-Variables-for-data-manipulation">50.2 Functions and Variables for data manipulation</a></li>
<li><a name="toc-Functions-and-Variables-for-descriptive-statistics-1" href="maxima_214.html#Functions-and-Variables-for-descriptive-statistics">50.3 Functions and Variables for descriptive statistics</a></li>
<li><a name="toc-Functions-and-Variables-for-statistical-graphs-1" href="maxima_215.html#Functions-and-Variables-for-statistical-graphs">50.4 Functions and Variables for statistical graphs</a></li>
</ul></li>
<li><a name="toc-diag" href="maxima_216.html#diag_002dpkg">51 diag</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-diag-1" href="maxima_217.html#Functions-and-Variables-for-diag">51.1 Functions and Variables for diag</a></li>
</ul></li>
<li><a name="toc-distrib" href="maxima_218.html#distrib_002dpkg">52 distrib</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-distrib-1" href="maxima_219.html#Introduction-to-distrib">52.1 Introduction to distrib</a></li>
<li><a name="toc-Functions-and-Variables-for-continuous-distributions-1" href="maxima_220.html#Functions-and-Variables-for-continuous-distributions">52.2 Functions and Variables for continuous distributions</a>
<ul class="no-bullet">
<li><a name="toc-Normal-Random-Variable-1" href="maxima_221.html#Normal-Random-Variable">52.2.1 Normal Random Variable</a></li>
<li><a name="toc-Student_0027s-t-Random-Variable-1" href="maxima_222.html#Student_0027s-t-Random-Variable">52.2.2 Student’s t Random Variable</a></li>
<li><a name="toc-Noncentral-Student_0027s-t-Random-Variable-1" href="maxima_223.html#Noncentral-Student_0027s-t-Random-Variable">52.2.3 Noncentral Student’s t Random Variable</a></li>
<li><a name="toc-Chi_002dsquared-Random-Variable-1" href="maxima_224.html#Chi_002dsquared-Random-Variable">52.2.4 Chi-squared Random Variable</a></li>
<li><a name="toc-Noncentral-Chi_002dsquared-Random-Variable-1" href="maxima_225.html#Noncentral-Chi_002dsquared-Random-Variable">52.2.5 Noncentral Chi-squared Random Variable</a></li>
<li><a name="toc-F-Random-Variable-1" href="maxima_226.html#F-Random-Variable">52.2.6 F Random Variable</a></li>
<li><a name="toc-Exponential-Random-Variable-1" href="maxima_227.html#Exponential-Random-Variable">52.2.7 Exponential Random Variable</a></li>
<li><a name="toc-Lognormal-Random-Variable-1" href="maxima_228.html#Lognormal-Random-Variable">52.2.8 Lognormal Random Variable</a></li>
<li><a name="toc-Gamma-Random-Variable-1" href="maxima_229.html#Gamma-Random-Variable">52.2.9 Gamma Random Variable</a></li>
<li><a name="toc-Beta-Random-Variable-1" href="maxima_230.html#Beta-Random-Variable">52.2.10 Beta Random Variable</a></li>
<li><a name="toc-Continuous-Uniform-Random-Variable-1" href="maxima_231.html#Continuous-Uniform-Random-Variable">52.2.11 Continuous Uniform Random Variable</a></li>
<li><a name="toc-Logistic-Random-Variable-1" href="maxima_232.html#Logistic-Random-Variable">52.2.12 Logistic Random Variable</a></li>
<li><a name="toc-Pareto-Random-Variable-1" href="maxima_233.html#Pareto-Random-Variable">52.2.13 Pareto Random Variable</a></li>
<li><a name="toc-Weibull-Random-Variable-1" href="maxima_234.html#Weibull-Random-Variable">52.2.14 Weibull Random Variable</a></li>
<li><a name="toc-Rayleigh-Random-Variable-1" href="maxima_235.html#Rayleigh-Random-Variable">52.2.15 Rayleigh Random Variable</a></li>
<li><a name="toc-Laplace-Random-Variable-1" href="maxima_236.html#Laplace-Random-Variable">52.2.16 Laplace Random Variable</a></li>
<li><a name="toc-Cauchy-Random-Variable-1" href="maxima_237.html#Cauchy-Random-Variable">52.2.17 Cauchy Random Variable</a></li>
<li><a name="toc-Gumbel-Random-Variable-1" href="maxima_238.html#Gumbel-Random-Variable">52.2.18 Gumbel Random Variable</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-discrete-distributions-1" href="maxima_239.html#Functions-and-Variables-for-discrete-distributions">52.3 Functions and Variables for discrete distributions</a>
<ul class="no-bullet">
<li><a name="toc-General-Finite-Discrete-Random-Variable-1" href="maxima_240.html#General-Finite-Discrete-Random-Variable">52.3.1 General Finite Discrete Random Variable</a></li>
<li><a name="toc-Binomial-Random-Variable-1" href="maxima_241.html#Binomial-Random-Variable">52.3.2 Binomial Random Variable</a></li>
<li><a name="toc-Poisson-Random-Variable-1" href="maxima_242.html#Poisson-Random-Variable">52.3.3 Poisson Random Variable</a></li>
<li><a name="toc-Bernoulli-Random-Variable-1" href="maxima_243.html#Bernoulli-Random-Variable">52.3.4 Bernoulli Random Variable</a></li>
<li><a name="toc-Geometric-Random-Variable-1" href="maxima_244.html#Geometric-Random-Variable">52.3.5 Geometric Random Variable</a></li>
<li><a name="toc-Discrete-Uniform-Random-Variable-1" href="maxima_245.html#Discrete-Uniform-Random-Variable">52.3.6 Discrete Uniform Random Variable</a></li>
<li><a name="toc-Hypergeometric-Random-Variable-1" href="maxima_246.html#Hypergeometric-Random-Variable">52.3.7 Hypergeometric Random Variable</a></li>
<li><a name="toc-Negative-Binomial-Random-Variable-1" href="maxima_247.html#Negative-Binomial-Random-Variable">52.3.8 Negative Binomial Random Variable</a></li>
</ul></li>
</ul></li>
<li><a name="toc-draw-1" href="maxima_248.html#draw_002dpkg">53 draw</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-draw-1" href="maxima_249.html#Introduction-to-draw">53.1 Introduction to draw</a></li>
<li><a name="toc-Functions-and-Variables-for-draw-1" href="maxima_250.html#Functions-and-Variables-for-draw">53.2 Functions and Variables for draw</a>
<ul class="no-bullet">
<li><a name="toc-Scenes" href="maxima_250.html#Scenes">53.2.1 Scenes</a></li>
<li><a name="toc-Functions" href="maxima_250.html#Functions">53.2.2 Functions</a></li>
<li><a name="toc-Plot-options-for-draw-programs" href="maxima_250.html#Plot-options-for-draw-programs">53.2.3 Plot options for draw programs</a></li>
<li><a name="toc-Graphics-objects" href="maxima_250.html#Graphics-objects">53.2.4 Graphics objects</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-pictures-1" href="maxima_251.html#Functions-and-Variables-for-pictures">53.3 Functions and Variables for pictures</a></li>
<li><a name="toc-Functions-and-Variables-for-worldmap-1" href="maxima_252.html#Functions-and-Variables-for-worldmap">53.4 Functions and Variables for worldmap</a>
<ul class="no-bullet">
<li><a name="toc-Variables-and-Functions" href="maxima_252.html#Variables-and-Functions">53.4.1 Variables and Functions</a></li>
<li><a name="toc-Graphic-objects" href="maxima_252.html#Graphic-objects">53.4.2 Graphic objects</a></li>
</ul></li>
</ul></li>
<li><a name="toc-drawdf-1" href="maxima_253.html#drawdf_002dpkg">54 drawdf</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-drawdf-1" href="maxima_254.html#Introduction-to-drawdf">54.1 Introduction to drawdf</a></li>
<li><a name="toc-Functions-and-Variables-for-drawdf-1" href="maxima_255.html#Functions-and-Variables-for-drawdf">54.2 Functions and Variables for drawdf</a>
<ul class="no-bullet">
<li><a name="toc-Functions-1" href="maxima_255.html#Functions-1">54.2.1 Functions</a></li>
</ul></li>
</ul></li>
<li><a name="toc-dynamics" href="maxima_256.html#dynamics_002dpkg">55 dynamics</a>
<ul class="no-bullet">
<li><a name="toc-The-dynamics-package-1" href="maxima_257.html#The-dynamics-package">55.1 The dynamics package</a></li>
<li><a name="toc-Graphical-analysis-of-discrete-dynamical-systems-1" href="maxima_258.html#Graphical-analysis-of-discrete-dynamical-systems">55.2 Graphical analysis of discrete dynamical systems</a></li>
<li><a name="toc-Visualization-with-VTK-1" href="maxima_259.html#Visualization-with-VTK">55.3 Visualization with VTK</a>
<ul class="no-bullet">
<li><a name="toc-Scene-options" href="maxima_259.html#Scene-options">55.3.1 Scene options</a></li>
<li><a name="toc-Scene-objects" href="maxima_259.html#Scene-objects">55.3.2 Scene objects</a></li>
<li><a name="toc-Scene-object_0027s-options" href="maxima_259.html#Scene-object_0027s-options">55.3.3 Scene object’s options</a></li>
</ul></li>
</ul></li>
<li><a name="toc-engineering_002dformat" href="maxima_260.html#engineering_002dformat_002dpkg">56 engineering-format</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-engineering_002dformat-1" href="maxima_261.html#Functions-and-Variables-for-engineering_002dformat">56.1 Functions and Variables for engineering-format</a></li>
</ul></li>
<li><a name="toc-ezunits" href="maxima_262.html#ezunits_002dpkg">57 ezunits</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-ezunits-1" href="maxima_263.html#Introduction-to-ezunits">57.1 Introduction to ezunits</a></li>
<li><a name="toc-Introduction-to-physical_005fconstants-1" href="maxima_264.html#Introduction-to-physical_005fconstants">57.2 Introduction to physical_constants</a></li>
<li><a name="toc-Functions-and-Variables-for-ezunits-1" href="maxima_265.html#Functions-and-Variables-for-ezunits">57.3 Functions and Variables for ezunits</a></li>
</ul></li>
<li><a name="toc-f90" href="maxima_266.html#f90_002dpkg">58 f90</a>
<ul class="no-bullet">
<li><a name="toc-Package-f90-1" href="maxima_267.html#Package-f90">58.1 Package f90</a></li>
</ul></li>
<li><a name="toc-finance" href="maxima_268.html#finance_002dpkg">59 finance</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-finance-1" href="maxima_269.html#Introduction-to-finance">59.1 Introduction to finance</a></li>
<li><a name="toc-Functions-and-Variables-for-finance-1" href="maxima_270.html#Functions-and-Variables-for-finance">59.2 Functions and Variables for finance</a></li>
</ul></li>
<li><a name="toc-fractals" href="maxima_271.html#fractals_002dpkg">60 fractals</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-fractals-1" href="maxima_272.html#Introduction-to-fractals">60.1 Introduction to fractals</a></li>
<li><a name="toc-Definitions-for-IFS-fractals-1" href="maxima_273.html#Definitions-for-IFS-fractals">60.2 Definitions for IFS fractals</a></li>
<li><a name="toc-Definitions-for-complex-fractals-1" href="maxima_274.html#Definitions-for-complex-fractals">60.3 Definitions for complex fractals</a></li>
<li><a name="toc-Definitions-for-Koch-snowflakes-1" href="maxima_275.html#Definitions-for-Koch-snowflakes">60.4 Definitions for Koch snowflakes</a></li>
<li><a name="toc-Definitions-for-Peano-maps-1" href="maxima_276.html#Definitions-for-Peano-maps">60.5 Definitions for Peano maps</a></li>
</ul></li>
<li><a name="toc-Gentran" href="maxima_277.html#gentran_002dpkg">61 Gentran</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Gentran-1" href="maxima_278.html#Introduction-to-Gentran">61.1 Introduction to Gentran</a></li>
<li><a name="toc-Functions-for-Gentran-1" href="maxima_279.html#Functions-for-Gentran">61.2 Functions for Gentran</a></li>
<li><a name="toc-Gentran-Mode-Switches-1" href="maxima_280.html#Gentran-Mode-Switches">61.3 Gentran Mode Switches</a></li>
<li><a name="toc-Gentran-Option-Variables-1" href="maxima_281.html#Gentran-Option-Variables">61.4 Gentran Option Variables</a></li>
<li><a name="toc-Gentran-Evaluation-Forms-1" href="maxima_282.html#Gentran-Evaluation-Forms">61.5 Gentran Evaluation Forms</a></li>
</ul></li>
<li><a name="toc-ggf-1" href="maxima_283.html#ggf_002dpkg">62 ggf</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-ggf-1" href="maxima_284.html#Functions-and-Variables-for-ggf">62.1 Functions and Variables for ggf</a></li>
</ul></li>
<li><a name="toc-graphs" href="maxima_285.html#graphs_002dpkg">63 graphs</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-graphs-1" href="maxima_286.html#Introduction-to-graphs">63.1 Introduction to graphs</a></li>
<li><a name="toc-Functions-and-Variables-for-graphs-1" href="maxima_287.html#Functions-and-Variables-for-graphs">63.2 Functions and Variables for graphs</a>
<ul class="no-bullet">
<li><a name="toc-Building-graphs" href="maxima_287.html#Building-graphs">63.2.1 Building graphs</a></li>
<li><a name="toc-Graph-properties" href="maxima_287.html#Graph-properties">63.2.2 Graph properties</a></li>
<li><a name="toc-Modifying-graphs" href="maxima_287.html#Modifying-graphs">63.2.3 Modifying graphs</a></li>
<li><a name="toc-Reading-and-writing-to-files" href="maxima_287.html#Reading-and-writing-to-files">63.2.4 Reading and writing to files</a></li>
<li><a name="toc-Visualization" href="maxima_287.html#Visualization">63.2.5 Visualization</a></li>
</ul></li>
</ul></li>
<li><a name="toc-grobner" href="maxima_288.html#grobner_002dpkg">64 grobner</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-grobner-1" href="maxima_289.html#Introduction-to-grobner">64.1 Introduction to grobner</a>
<ul class="no-bullet">
<li><a name="toc-Notes-on-the-grobner-package" href="maxima_289.html#Notes-on-the-grobner-package">64.1.1 Notes on the grobner package</a></li>
<li><a name="toc-Implementations-of-admissible-monomial-orders-in-grobner" href="maxima_289.html#Implementations-of-admissible-monomial-orders-in-grobner">64.1.2 Implementations of admissible monomial orders in grobner</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-grobner-1" href="maxima_290.html#Functions-and-Variables-for-grobner">64.2 Functions and Variables for grobner</a>
<ul class="no-bullet">
<li><a name="toc-Global-switches-for-grobner" href="maxima_290.html#Global-switches-for-grobner">64.2.1 Global switches for grobner</a></li>
<li><a name="toc-Simple-operators-in-grobner" href="maxima_290.html#Simple-operators-in-grobner">64.2.2 Simple operators in grobner</a></li>
<li><a name="toc-Other-functions-in-grobner" href="maxima_290.html#Other-functions-in-grobner">64.2.3 Other functions in grobner</a></li>
<li><a name="toc-Standard-postprocessing-of-Groebner-Bases" href="maxima_290.html#Standard-postprocessing-of-Groebner-Bases">64.2.4 Standard postprocessing of Groebner Bases</a></li>
</ul></li>
</ul></li>
<li><a name="toc-hompack" href="maxima_291.html#hompack_002dpkg">65 hompack</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-hompack-1" href="maxima_292.html#Introduction-to-hompack">65.1 Introduction to hompack</a></li>
<li><a name="toc-Functions-and-Variables-for-hompack-1" href="maxima_293.html#Functions-and-Variables-for-hompack">65.2 Functions and Variables for hompack</a></li>
</ul></li>
<li><a name="toc-impdiff" href="maxima_294.html#impdiff_002dpkg">66 impdiff</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-impdiff-1" href="maxima_295.html#Functions-and-Variables-for-impdiff">66.1 Functions and Variables for impdiff</a></li>
</ul></li>
<li><a name="toc-interpol" href="maxima_296.html#interpol_002dpkg">67 interpol</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-interpol-1" href="maxima_297.html#Introduction-to-interpol">67.1 Introduction to interpol</a></li>
<li><a name="toc-Functions-and-Variables-for-interpol-1" href="maxima_298.html#Functions-and-Variables-for-interpol">67.2 Functions and Variables for interpol</a></li>
</ul></li>
<li><a name="toc-lapack" href="maxima_299.html#lapack_002dpkg">68 lapack</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-lapack-1" href="maxima_300.html#Introduction-to-lapack">68.1 Introduction to lapack</a></li>
<li><a name="toc-Functions-and-Variables-for-lapack-1" href="maxima_301.html#Functions-and-Variables-for-lapack">68.2 Functions and Variables for lapack</a></li>
</ul></li>
<li><a name="toc-lbfgs" href="maxima_302.html#lbfgs_002dpkg">69 lbfgs</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-lbfgs-1" href="maxima_303.html#Introduction-to-lbfgs">69.1 Introduction to lbfgs</a></li>
<li><a name="toc-Functions-and-Variables-for-lbfgs-1" href="maxima_304.html#Functions-and-Variables-for-lbfgs">69.2 Functions and Variables for lbfgs</a></li>
</ul></li>
<li><a name="toc-lindstedt" href="maxima_305.html#lindstedt_002dpkg">70 lindstedt</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-lindstedt-1" href="maxima_306.html#Functions-and-Variables-for-lindstedt">70.1 Functions and Variables for lindstedt</a></li>
</ul></li>
<li><a name="toc-linearalgebra" href="maxima_307.html#linearalgebra_002dpkg">71 linearalgebra</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-linearalgebra-1" href="maxima_308.html#Introduction-to-linearalgebra">71.1 Introduction to linearalgebra</a></li>
<li><a name="toc-Functions-and-Variables-for-linearalgebra-1" href="maxima_309.html#Functions-and-Variables-for-linearalgebra">71.2 Functions and Variables for linearalgebra</a></li>
</ul></li>
<li><a name="toc-lsquares" href="maxima_310.html#lsquares_002dpkg">72 lsquares</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-lsquares-1" href="maxima_311.html#Introduction-to-lsquares">72.1 Introduction to lsquares</a></li>
<li><a name="toc-Functions-and-Variables-for-lsquares-1" href="maxima_312.html#Functions-and-Variables-for-lsquares">72.2 Functions and Variables for lsquares</a></li>
</ul></li>
<li><a name="toc-minpack" href="maxima_313.html#minpack_002dpkg">73 minpack</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-minpack-1" href="maxima_314.html#Introduction-to-minpack">73.1 Introduction to minpack</a></li>
<li><a name="toc-Functions-and-Variables-for-minpack-1" href="maxima_315.html#Functions-and-Variables-for-minpack">73.2 Functions and Variables for minpack</a></li>
</ul></li>
<li><a name="toc-makeOrders" href="maxima_316.html#makeOrders_002dpkg">74 makeOrders</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-makeOrders-1" href="maxima_317.html#Functions-and-Variables-for-makeOrders">74.1 Functions and Variables for makeOrders</a></li>
</ul></li>
<li><a name="toc-mnewton-1" href="maxima_318.html#mnewton_002dpkg">75 mnewton</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-mnewton-1" href="maxima_319.html#Introduction-to-mnewton">75.1 Introduction to mnewton</a></li>
<li><a name="toc-Functions-and-Variables-for-mnewton-1" href="maxima_320.html#Functions-and-Variables-for-mnewton">75.2 Functions and Variables for mnewton</a></li>
</ul></li>
<li><a name="toc-numericalio-1" href="maxima_321.html#numericalio_002dpkg">76 numericalio</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-numericalio-1" href="maxima_322.html#Introduction-to-numericalio">76.1 Introduction to numericalio</a>
<ul class="no-bullet">
<li><a name="toc-Plain_002dtext-input-and-output" href="maxima_322.html#Plain_002dtext-input-and-output">76.1.1 Plain-text input and output</a></li>
<li><a name="toc-Separator-flag-values-for-input" href="maxima_322.html#Separator-flag-values-for-input">76.1.2 Separator flag values for input</a></li>
<li><a name="toc-Separator-flag-values-for-output" href="maxima_322.html#Separator-flag-values-for-output">76.1.3 Separator flag values for output</a></li>
<li><a name="toc-Binary-floating_002dpoint-input-and-output" href="maxima_322.html#Binary-floating_002dpoint-input-and-output">76.1.4 Binary floating-point input and output</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-plain_002dtext-input-and-output-1" href="maxima_323.html#Functions-and-Variables-for-plain_002dtext-input-and-output">76.2 Functions and Variables for plain-text input and output</a></li>
<li><a name="toc-Functions-and-Variables-for-binary-input-and-output-1" href="maxima_324.html#Functions-and-Variables-for-binary-input-and-output">76.3 Functions and Variables for binary input and output</a></li>
</ul></li>
<li><a name="toc-odepack" href="maxima_325.html#odepack_002dpkg">77 odepack</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-ODEPACK-1" href="maxima_326.html#Introduction-to-ODEPACK">77.1 Introduction to ODEPACK</a>
<ul class="no-bullet">
<li><a name="toc-Getting-Started-with-ODEPACK-1" href="maxima_327.html#Getting-Started-with-ODEPACK">77.1.1 Getting Started with ODEPACK</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-odepack-1" href="maxima_328.html#Functions-and-Variables-for-odepack">77.2 Functions and Variables for odepack</a></li>
</ul></li>
<li><a name="toc-operatingsystem" href="maxima_329.html#operatingsystem_002dpkg">78 operatingsystem</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-operatingsystem-1" href="maxima_330.html#Introduction-to-operatingsystem">78.1 Introduction to operatingsystem</a></li>
<li><a name="toc-Directory-operations-1" href="maxima_331.html#Directory-operations">78.2 Directory operations</a></li>
<li><a name="toc-File-operations-1" href="maxima_332.html#File-operations">78.3 File operations</a></li>
<li><a name="toc-Environment-operations-1" href="maxima_333.html#Environment-operations">78.4 Environment operations</a></li>
</ul></li>
<li><a name="toc-opsubst" href="maxima_334.html#opsubst_002dpkg">79 opsubst</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-opsubst-1" href="maxima_335.html#Functions-and-Variables-for-opsubst">79.1 Functions and Variables for opsubst</a></li>
</ul></li>
<li><a name="toc-orthopoly" href="maxima_336.html#orthopoly_002dpkg">80 orthopoly</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-orthogonal-polynomials-1" href="maxima_337.html#Introduction-to-orthogonal-polynomials">80.1 Introduction to orthogonal polynomials</a>
<ul class="no-bullet">
<li><a name="toc-Getting-Started-with-orthopoly" href="maxima_337.html#Getting-Started-with-orthopoly">80.1.1 Getting Started with orthopoly</a></li>
<li><a name="toc-Limitations" href="maxima_337.html#Limitations">80.1.2 Limitations</a></li>
<li><a name="toc-Floating-point-Evaluation-1" href="maxima_337.html#Floating-point-Evaluation-1">80.1.3 Floating point Evaluation</a></li>
<li><a name="toc-Graphics-and-orthopoly" href="maxima_337.html#Graphics-and-orthopoly">80.1.4 Graphics and <code>orthopoly</code></a></li>
<li><a name="toc-Miscellaneous-Functions" href="maxima_337.html#Miscellaneous-Functions">80.1.5 Miscellaneous Functions</a></li>
<li><a name="toc-Algorithms" href="maxima_337.html#Algorithms">80.1.6 Algorithms</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-orthogonal-polynomials-1" href="maxima_338.html#Functions-and-Variables-for-orthogonal-polynomials">80.2 Functions and Variables for orthogonal polynomials</a></li>
</ul></li>
<li><a name="toc-pslq" href="maxima_339.html#pslq_002dpkg">81 pslq</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-pslq-1" href="maxima_340.html#Introduction-to-pslq">81.1 Introduction to pslq</a></li>
<li><a name="toc-Functions-and-Variables-for-pslq-1" href="maxima_341.html#Functions-and-Variables-for-pslq">81.2 Functions and Variables for pslq</a></li>
</ul></li>
<li><a name="toc-pytranslate-1" href="maxima_342.html#pytranslate">82 pytranslate</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-pytranslate-1" href="maxima_343.html#Introduction-to-pytranslate">82.1 Introduction to pytranslate</a>
<ul class="no-bullet">
<li><a name="toc-Tests-for-pytranslate" href="maxima_343.html#Tests-for-pytranslate">82.1.1 Tests for pytranslate</a></li>
</ul></li>
<li><a name="toc-Functions-in-pytranslate-1" href="maxima_344.html#Functions-in-pytranslate">82.2 Functions in pytranslate</a></li>
<li><a name="toc-Extending-pytranslate-1" href="maxima_345.html#Extending-pytranslate">82.3 Extending pytranslate</a></li>
</ul></li>
<li><a name="toc-quantum_005fcomputing_002dpkg-1" href="maxima_346.html#quantum_005fcomputing_002dpkg">83 quantum_computing-pkg</a>
<ul class="no-bullet">
<li><a name="toc-Package-quantum_005fcomputing-1" href="maxima_347.html#Package-quantum_005fcomputing">83.1 Package quantum_computing</a></li>
<li><a name="toc-Functions-and-Variables-for-Quantum_005fComputing-1" href="maxima_348.html#Functions-and-Variables-for-Quantum_005fComputing">83.2 Functions and Variables for Quantum_Computing</a></li>
</ul></li>
<li><a name="toc-ratpow" href="maxima_349.html#ratpow_002dpkg">84 ratpow</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-ratpow-1" href="maxima_350.html#Functions-and-Variables-for-ratpow">84.1 Functions and Variables for ratpow</a></li>
</ul></li>
<li><a name="toc-romberg" href="maxima_351.html#romberg_002dpkg">85 romberg</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-romberg-1" href="maxima_352.html#Functions-and-Variables-for-romberg">85.1 Functions and Variables for romberg</a></li>
</ul></li>
<li><a name="toc-simplex" href="maxima_353.html#simplex_002dpkg">86 simplex</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-simplex-1" href="maxima_354.html#Introduction-to-simplex">86.1 Introduction to simplex</a>
<ul class="no-bullet">
<li><a name="toc-Tests-for-simplex" href="maxima_354.html#Tests-for-simplex">86.1.1 Tests for simplex</a>
<ul class="no-bullet">
<li><a name="toc-klee_005fminty" href="maxima_354.html#klee_005fminty">86.1.1.1 klee_minty</a></li>
<li><a name="toc-NETLIB" href="maxima_354.html#NETLIB">86.1.1.2 NETLIB</a></li>
</ul></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-simplex-1" href="maxima_355.html#Functions-and-Variables-for-simplex">86.2 Functions and Variables for simplex</a></li>
</ul></li>
<li><a name="toc-simplification" href="maxima_356.html#simplification_002dpkg">87 simplification</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-simplification-1" href="maxima_357.html#Introduction-to-simplification">87.1 Introduction to simplification</a></li>
<li><a name="toc-Package-absimp-1" href="maxima_358.html#Package-absimp">87.2 Package absimp</a></li>
<li><a name="toc-Package-facexp-1" href="maxima_359.html#Package-facexp">87.3 Package facexp</a></li>
<li><a name="toc-Package-functs-1" href="maxima_360.html#Package-functs">87.4 Package functs</a></li>
<li><a name="toc-Package-ineq-1" href="maxima_361.html#Package-ineq">87.5 Package ineq</a></li>
<li><a name="toc-Package-rducon-1" href="maxima_362.html#Package-rducon">87.6 Package rducon</a></li>
<li><a name="toc-Package-scifac-1" href="maxima_363.html#Package-scifac">87.7 Package scifac</a></li>
</ul></li>
<li><a name="toc-solve_005frec-1" href="maxima_364.html#solve_005frec_002dpkg">88 solve_rec</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-solve_005frec-1" href="maxima_365.html#Introduction-to-solve_005frec">88.1 Introduction to solve_rec</a></li>
<li><a name="toc-Functions-and-Variables-for-solve_005frec-1" href="maxima_366.html#Functions-and-Variables-for-solve_005frec">88.2 Functions and Variables for solve_rec</a></li>
</ul></li>
<li><a name="toc-stats" href="maxima_367.html#stats_002dpkg">89 stats</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-stats-1" href="maxima_368.html#Introduction-to-stats">89.1 Introduction to stats</a></li>
<li><a name="toc-Functions-and-Variables-for-inference_005fresult-1" href="maxima_369.html#Functions-and-Variables-for-inference_005fresult">89.2 Functions and Variables for inference_result</a></li>
<li><a name="toc-Functions-and-Variables-for-stats-1" href="maxima_370.html#Functions-and-Variables-for-stats">89.3 Functions and Variables for stats</a></li>
<li><a name="toc-Functions-and-Variables-for-special-distributions-1" href="maxima_371.html#Functions-and-Variables-for-special-distributions">89.4 Functions and Variables for special distributions</a></li>
</ul></li>
<li><a name="toc-stirling-1" href="maxima_372.html#stirling_002dpkg">90 stirling</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-stirling-1" href="maxima_373.html#Functions-and-Variables-for-stirling">90.1 Functions and Variables for stirling</a></li>
</ul></li>
<li><a name="toc-stringproc" href="maxima_374.html#stringproc_002dpkg">91 stringproc</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-String-Processing-1" href="maxima_375.html#Introduction-to-String-Processing">91.1 Introduction to String Processing</a></li>
<li><a name="toc-String-Input-and-Output-1" href="maxima_376.html#String-Input-and-Output">91.2 String Input and Output</a></li>
<li><a name="toc-Characters-1" href="maxima_377.html#Characters">91.3 Characters</a></li>
<li><a name="toc-String-Processing-1" href="maxima_378.html#String-Processing">91.4 String Processing</a></li>
<li><a name="toc-Octets-and-Utilities-for-Cryptography-1" href="maxima_379.html#Octets-and-Utilities-for-Cryptography">91.5 Octets and Utilities for Cryptography</a></li>
</ul></li>
<li><a name="toc-to_005fpoly_005fsolve" href="maxima_380.html#to_005fpoly_005fsolve_002dpkg">92 to_poly_solve</a>
<ul class="no-bullet">
<li><a name="toc-Functions-and-Variables-for-to_005fpoly_005fsolve-1" href="maxima_381.html#Functions-and-Variables-for-to_005fpoly_005fsolve">92.1 Functions and Variables for to_poly_solve</a></li>
</ul></li>
<li><a name="toc-unit" href="maxima_382.html#unit_002dpkg">93 unit</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-Units-1" href="maxima_383.html#Introduction-to-Units">93.1 Introduction to Units</a></li>
<li><a name="toc-Functions-and-Variables-for-Units-1" href="maxima_384.html#Functions-and-Variables-for-Units">93.2 Functions and Variables for Units</a></li>
</ul></li>
<li><a name="toc-wrstcse" href="maxima_385.html#wrstcse_002dpkg">94 wrstcse</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-wrstcse-1" href="maxima_386.html#Introduction-to-wrstcse">94.1 Introduction to wrstcse</a></li>
<li><a name="toc-Functions-and-Variables-for-wrstcse-1" href="maxima_387.html#Functions-and-Variables-for-wrstcse">94.2 Functions and Variables for wrstcse</a></li>
</ul></li>
<li><a name="toc-zeilberger" href="maxima_388.html#zeilberger_002dpkg">95 zeilberger</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-zeilberger-1" href="maxima_389.html#Introduction-to-zeilberger">95.1 Introduction to zeilberger</a>
<ul class="no-bullet">
<li><a name="toc-The-indefinite-summation-problem" href="maxima_389.html#The-indefinite-summation-problem">95.1.1 The indefinite summation problem</a></li>
<li><a name="toc-The-definite-summation-problem" href="maxima_389.html#The-definite-summation-problem">95.1.2 The definite summation problem</a></li>
<li><a name="toc-Verbosity-levels" href="maxima_389.html#Verbosity-levels">95.1.3 Verbosity levels</a></li>
</ul></li>
<li><a name="toc-Functions-and-Variables-for-zeilberger-1" href="maxima_390.html#Functions-and-Variables-for-zeilberger">95.2 Functions and Variables for zeilberger</a></li>
<li><a name="toc-General-global-variables" href="maxima_390.html#General-global-variables">95.3 General global variables</a></li>
<li><a name="toc-Variables-related-to-the-modular-test" href="maxima_390.html#Variables-related-to-the-modular-test">95.4 Variables related to the modular test</a></li>
</ul></li>
<li><a name="toc-trigtools" href="maxima_391.html#trigtools_002dpkg">96 trigtools</a>
<ul class="no-bullet">
<li><a name="toc-Introduction-to-trigtools-1" href="maxima_392.html#Introduction-to-trigtools">96.1 Introduction to trigtools</a></li>
<li><a name="toc-Functions-and-Variables-for-trigtools-1" href="maxima_393.html#Functions-and-Variables-for-trigtools">96.2 Functions and Variables for trigtools</a>
<ul class="no-bullet">
<li><a name="toc-Convert-to-sin-and-cos-1" href="maxima_394.html#Convert-to-sin-and-cos">96.2.1 Convert to sin and cos</a></li>
<li><a name="toc-Convert-to-Trignometric-Functions-1" href="maxima_395.html#Convert-to-Trignometric-Functions">96.2.2 Convert to Trignometric Functions</a></li>
<li><a name="toc-Convert-to-Hyperbolic-Functions-1" href="maxima_396.html#Convert-to-Hyperbolic-Functions">96.2.3 Convert to Hyperbolic Functions</a></li>
<li><a name="toc-Factor-Sums-of-sin-and-cos-Functions-1" href="maxima_397.html#Factor-Sums-of-sin-and-cos-Functions">96.2.4 Factor Sums of sin and cos Functions</a></li>
<li><a name="toc-Solve-Trignometric-Equations-1" href="maxima_398.html#Solve-Trignometric-Equations">96.2.5 Solve Trignometric Equations</a></li>
<li><a name="toc-Evaluation-of-Trignometric-Functions-1" href="maxima_399.html#Evaluation-of-Trignometric-Functions">96.2.6 Evaluation of Trignometric Functions</a></li>
<li><a name="toc-Contract-atan-Functions-1" href="maxima_400.html#Contract-atan-Functions">96.2.7 Contract atan Functions</a></li>
</ul></li>
<li><a name="toc-References-1" href="maxima_401.html#References">96.3 References</a></li>
</ul></li>
<li><a name="toc-Error-and-warning-messages-1" href="maxima_402.html#Error-and-warning-messages">97 Error and warning messages</a>
<ul class="no-bullet">
<li><a name="toc-Error-Messages-1" href="maxima_403.html#Error-Messages">97.1 Error Messages</a>
<ul class="no-bullet">
<li><a name="toc-apply_003a-no-such-_0022list_0022-element" href="maxima_404.html#No-such-list-element">97.1.1 apply: no such "list" element</a></li>
<li><a name="toc-argument-must-be-a-non_002datomic-expression-1" href="maxima_405.html#argument-must-be-a-non_002datomic-expression">97.1.2 argument must be a non-atomic expression</a></li>
<li><a name="toc-assignment_003a-cannot-assign-to-_003cfunction-name_003e" href="maxima_406.html#cannot-assign-to-function">97.1.3 assignment: cannot assign to <code><function name></code></a></li>
<li><a name="toc-expt_003a-undefined_003a-0-to-a-negative-exponent_002e" href="maxima_407.html#g_t0-to-a-negative-exponent">97.1.4 expt: undefined: 0 to a negative exponent.</a></li>
<li><a name="toc-incorrect-syntax_003a-_002c-is-not-a-prefix-operator" href="maxima_408.html#Comma-is-not-a-prefix-operator">97.1.5 incorrect syntax: , is not a prefix operator</a></li>
<li><a name="toc-incorrect-syntax_003a-Illegal-use-of-delimiter-_0029" href="maxima_409.html#Illegal-use-of-delimiter">97.1.6 incorrect syntax: Illegal use of delimiter )</a></li>
<li><a name="toc-loadfile_003a-failed-to-load-_003cfilename_003e" href="maxima_410.html#loadfile-failed-to-load">97.1.7 loadfile: failed to load <code><filename></code></a></li>
<li><a name="toc-makelist_003a-second-argument-must-evaluate-to-a-number" href="maxima_411.html#makelist-second-argument-must-evaluate-to-a-number">97.1.8 makelist: second argument must evaluate to a number</a></li>
<li><a name="toc-Only-symbols-can-be-bound-1" href="maxima_412.html#Only-symbols-can-be-bound">97.1.9 Only symbols can be bound</a></li>
<li><a name="toc-operators-of-arguments-must-all-be-the-same" href="maxima_413.html#Operators-of-arguments-must-all-be-the-same">97.1.10 operators of arguments must all be the same</a></li>
<li><a name="toc-Out-of-memory" href="maxima_414.html#out-of-memory">97.1.11 Out of memory</a></li>
<li><a name="toc-part_003a-fell-off-the-end" href="maxima_415.html#part-fell-off-the-end">97.1.12 part: fell off the end</a></li>
<li><a name="toc-undefined-variable-_0028draw-or-plot_0029" href="maxima_416.html#undefined-variable-during-plotting">97.1.13 undefined variable (draw or plot)</a></li>
<li><a name="toc-VTK-is-not-installed_002c-which-is-required-for-Scene" href="maxima_417.html#VTK-is-not-installed">97.1.14 VTK is not installed, which is required for Scene</a></li>
</ul></li>
<li><a name="toc-Warning-Messages-1" href="maxima_418.html#Warning-Messages">97.2 Warning Messages</a>
<ul class="no-bullet">
<li><a name="toc-Encountered-undefined-variable-_003cx_003e-in-translation" href="maxima_419.html#undefined-variable-during-translation">97.2.1 Encountered undefined variable <code><x></code> in translation</a></li>
<li><a name="toc-Rat_003a-replaced-_003cx_003e-by-_003cy_003e-_003d-_003cz_003e" href="maxima_420.html#replaced-x-by-y">97.2.2 Rat: replaced <code><x></code> by <code><y> = <z></code></a></li>
</ul></li>
</ul></li>
<li><a name="toc-Command_002dline-options-1" href="maxima_421.html#Command_002dline-options">98 Command-line options</a>
<ul class="no-bullet">
<li><a name="toc-Command-line-options-1" href="maxima_422.html#Command-line-options">98.1 Command line options</a></li>
</ul></li>
<li><a name="toc-Function-and-Variable-Index-1" href="maxima_423.html#Function-and-Variable-Index">Appendix A Function and Variable Index</a></li>
<li><a name="toc-Documentation-Categories-1" href="maxima_424.html#Documentation-Categories">Appendix B Documentation Categories</a></li>
</ul>
</div>
<a name="Top"></a>
<div class="header">
<p>
Next: <a href="maxima.html#Introduction-to-Maxima" accesskey="n" rel="next">Introduction to Maxima</a>, Previous: <a href="../dir/index.html" accesskey="p" rel="previous">(dir)</a>, Up: <a href="../dir/index.html" accesskey="u" rel="up">(dir)</a> [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_423.html#Function-and-Variable-Index" title="Index" rel="index">Index</a>]</p>
</div>
<a name="SEC_Top"></a>
<p>Maxima is a computer algebra system, implemented in Lisp.
</p>
<p>Maxima is derived from the Macsyma system,
developed at MIT in the years 1968 through 1982 as part of Project MAC.
MIT turned over a copy of the Macsyma source code to the Department of Energy
in 1982; that version is now known as DOE Macsyma.
A copy of DOE Macsyma was maintained by Professor William F. Schelter
of the University of Texas from 1982 until his death in 2001.
In 1998, Schelter obtained permission from the Department of Energy
to release the DOE Macsyma source code under the GNU Public License,
and in 2000 he initiated the Maxima project at SourceForge to maintain
and develop DOE Macsyma, now called Maxima.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b>Maxima infrastructure</b>
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima.html#Introduction-to-Maxima" accesskey="1">Introduction to Maxima</a>:</td><td> </td><td align="left" valign="top">Sample Maxima sessions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_1.html#Bug-Detection-and-Reporting" accesskey="2">Bug Detection and Reporting</a>:</td><td> </td><td align="left" valign="top">Finding and reporting bugs in Maxima.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_3.html#Help" accesskey="3">Help</a>:</td><td> </td><td align="left" valign="top">Asking for help from within a Maxima session.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_6.html#Command-Line" accesskey="4">Command Line</a>:</td><td> </td><td align="left" valign="top">Maxima command line syntax, Input, and Output.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_10.html#Data-Types-and-Structures" accesskey="5">Data Types and Structures</a>:</td><td> </td><td align="left" valign="top">Numbers, Strings, Lists, Arrays, and Structures.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_28.html#Expressions" accesskey="6">Expressions</a>:</td><td> </td><td align="left" valign="top">Expressions in Maxima.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_34.html#Operators" accesskey="7">Operators</a>:</td><td> </td><td align="left" valign="top">Operators used in Maxima expressions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_42.html#Evaluation" accesskey="8">Evaluation</a>:</td><td> </td><td align="left" valign="top">Evaluating expressions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_44.html#Simplification" accesskey="9">Simplification</a>:</td><td> </td><td align="left" valign="top">Simplifying expressions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_47.html#Elementary-Functions">Elementary Functions</a>:</td><td> </td><td align="left" valign="top">Elementary functions in Maxima.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_60.html#Maxima_0027s-Database">Maxima's Database</a>:</td><td> </td><td align="left" valign="top">Declarations, Contexts, Facts, and Properties.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_65.html#Plotting">Plotting</a>:</td><td> </td><td align="left" valign="top">2D and 3D graphical output.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_72.html#File-Input-and-Output">File Input and Output</a>:</td><td> </td><td align="left" valign="top">File input and output.
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b>Support for specific areas of mathematics</b>
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_78.html#Polynomials">Polynomials</a>:</td><td> </td><td align="left" valign="top">Standard forms for polynomials, and
functions operating on them.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_83.html#Special-Functions">Special Functions</a>:</td><td> </td><td align="left" valign="top">Special functions
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_94.html#Elliptic-Functions">Elliptic Functions</a>:</td><td> </td><td align="left" valign="top">Elliptic Functions and Integrals
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_98.html#Limits">Limits</a>:</td><td> </td><td align="left" valign="top">Limits of expressions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_100.html#Differentiation">Differentiation</a>:</td><td> </td><td align="left" valign="top">Differential calculus.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_102.html#Integration">Integration</a>:</td><td> </td><td align="left" valign="top">Integral calculus.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_107.html#Equations">Equations</a>:</td><td> </td><td align="left" valign="top">Defining and solving equations.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_109.html#Differential-Equations">Differential Equations</a>:</td><td> </td><td align="left" valign="top">Defining and solving differential equations.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_112.html#Numerical">Numerical</a>:</td><td> </td><td align="left" valign="top">Numerical integration, Fourier
transforms, Equations, ODE’s, etc.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_119.html#Matrices-and-Linear-Algebra">Matrices and Linear Algebra</a>:</td><td> </td><td align="left" valign="top">Matrix operations.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_126.html#Affine">Affine</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_129.html#itensor">itensor</a>:</td><td> </td><td align="left" valign="top">Indicial Tensor Manipulation.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_132.html#ctensor">ctensor</a>:</td><td> </td><td align="left" valign="top">Component Tensor Manipulation.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_135.html#atensor">atensor</a>:</td><td> </td><td align="left" valign="top">Algebraic Tensor Manipulation.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_138.html#Sums-Products-and-Series">Sums Products and Series</a>:</td><td> </td><td align="left" valign="top">Sums, Products, Taylor and power series.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_145.html#Number-Theory">Number Theory</a>:</td><td> </td><td align="left" valign="top">Number theory.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_147.html#Symmetries">Symmetries</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_150.html#Groups">Groups</a>:</td><td> </td><td align="left" valign="top">Abstract algebra.
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b>Advanced facilities and programming</b>
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_152.html#Runtime-Environment">Runtime Environment</a>:</td><td> </td><td align="left" valign="top">Customization of the Maxima environment.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_156.html#Miscellaneous-Options">Miscellaneous Options</a>:</td><td> </td><td align="left" valign="top">Options with a global effect on Maxima.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_160.html#Rules-and-Patterns">Rules and Patterns</a>:</td><td> </td><td align="left" valign="top">User defined pattern matching and
simplification rules.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_163.html#Sets">Sets</a>:</td><td> </td><td align="left" valign="top">Manipulation of sets.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_166.html#Function-Definition">Function Definition</a>:</td><td> </td><td align="left" valign="top">Defining functions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_171.html#Program-Flow">Program Flow</a>:</td><td> </td><td align="left" valign="top">Defining Maxima programs.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_176.html#Debugging">Debugging</a>:</td><td> </td><td align="left" valign="top">Debugging Maxima programs.
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b>Additional packages</b>
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_180.html#alt_002ddisplay_002dpkg">alt-display-pkg</a>:</td><td> </td><td align="left" valign="top">Alternative display package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_183.html#asympa_002dpkg">asympa-pkg</a>:</td><td> </td><td align="left" valign="top">Asymptotic analysis package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_186.html#augmented_005flagrangian_002dpkg">augmented_lagrangian-pkg</a>:</td><td> </td><td align="left" valign="top">augmented_lagrangian package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_188.html#Bernstein_002dpkg">Bernstein-pkg</a>:</td><td> </td><td align="left" valign="top">Bernstein polynomials.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_190.html#bitwise_002dpkg">bitwise-pkg</a>:</td><td> </td><td align="left" valign="top">Manipulate bits of integers.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_192.html#bode_002dpkg">bode-pkg</a>:</td><td> </td><td align="left" valign="top">Bode gain and phase plots.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_194.html#celine_002dpkg">celine-pkg</a>:</td><td> </td><td align="left" valign="top">Sister Celine’s method
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_196.html#clebsch_005fgordan_002dpkg">clebsch_gordan-pkg</a>:</td><td> </td><td align="left" valign="top">Clebsch-Gordan and Wigner coefficients
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_198.html#cobyla_002dpkg">cobyla-pkg</a>:</td><td> </td><td align="left" valign="top">Nonlinear optimization with inequality constraints.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_202.html#combinatorics_002dpkg">combinatorics-pkg</a>:</td><td> </td><td align="left" valign="top">Functions to work with permutations.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_205.html#contrib_005fode_002dpkg">contrib_ode-pkg</a>:</td><td> </td><td align="left" valign="top">Additional routines for ODEs
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_211.html#descriptive_002dpkg">descriptive-pkg</a>:</td><td> </td><td align="left" valign="top">Descriptive statistics.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_216.html#diag_002dpkg">diag-pkg</a>:</td><td> </td><td align="left" valign="top">Jordan matrices.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_218.html#distrib_002dpkg">distrib-pkg</a>:</td><td> </td><td align="left" valign="top">Probability distributions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_248.html#draw_002dpkg">draw-pkg</a>:</td><td> </td><td align="left" valign="top">A Maxima-Gnuplot interface.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_253.html#drawdf_002dpkg">drawdf-pkg</a>:</td><td> </td><td align="left" valign="top">Direction fields with Gnuplot.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_256.html#dynamics_002dpkg">dynamics-pkg</a>:</td><td> </td><td align="left" valign="top">3D visualization, animations and dynamical systems.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_260.html#engineering_002dformat_002dpkg">engineering-format-pkg</a>:</td><td> </td><td align="left" valign="top">Display floats as a*10^b with b mod 3 = 0.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_262.html#ezunits_002dpkg">ezunits-pkg</a>:</td><td> </td><td align="left" valign="top">Dimensional quantities.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_266.html#f90_002dpkg">f90-pkg</a>:</td><td> </td><td align="left" valign="top">Maxima to fortran translator.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_268.html#finance_002dpkg">finance-pkg</a>:</td><td> </td><td align="left" valign="top">Financial package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_271.html#fractals_002dpkg">fractals-pkg</a>:</td><td> </td><td align="left" valign="top">Fractals.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_277.html#gentran_002dpkg">gentran-pkg</a>:</td><td> </td><td align="left" valign="top">Gentran
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_283.html#ggf_002dpkg">ggf-pkg</a>:</td><td> </td><td align="left" valign="top">Generating function of sequences.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_285.html#graphs_002dpkg">graphs-pkg</a>:</td><td> </td><td align="left" valign="top">Graph theory package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_288.html#grobner_002dpkg">grobner-pkg</a>:</td><td> </td><td align="left" valign="top">Functions for working with Groebner bases.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_291.html#hompack_002dpkg">hompack-pkg</a>:</td><td> </td><td align="left" valign="top">HOMPACK solver for systems of polynomial equations.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_294.html#impdiff_002dpkg">impdiff-pkg</a>:</td><td> </td><td align="left" valign="top">Implicit derivatives.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_296.html#interpol_002dpkg">interpol-pkg</a>:</td><td> </td><td align="left" valign="top">Interpolation package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_299.html#lapack_002dpkg">lapack-pkg</a>:</td><td> </td><td align="left" valign="top">LAPACK functions for linear algebra.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_302.html#lbfgs_002dpkg">lbfgs-pkg</a>:</td><td> </td><td align="left" valign="top">L-BFGS unconstrained minimization package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_305.html#lindstedt_002dpkg">lindstedt-pkg</a>:</td><td> </td><td align="left" valign="top">Lindstedt package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_307.html#linearalgebra_002dpkg">linearalgebra-pkg</a>:</td><td> </td><td align="left" valign="top">Functions for linear algebra.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_310.html#lsquares_002dpkg">lsquares-pkg</a>:</td><td> </td><td align="left" valign="top">Least squares.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_316.html#makeOrders_002dpkg">makeOrders-pkg</a>:</td><td> </td><td align="left" valign="top">Polynomial utility.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_313.html#minpack_002dpkg">minpack-pkg</a>:</td><td> </td><td align="left" valign="top">MINPACK functions for minimization and roots
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_318.html#mnewton_002dpkg">mnewton-pkg</a>:</td><td> </td><td align="left" valign="top">Newton’s method.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_321.html#numericalio_002dpkg">numericalio-pkg</a>:</td><td> </td><td align="left" valign="top">Reading and writing files.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_325.html#odepack_002dpkg">odepack-pkg</a>:</td><td> </td><td align="left" valign="top">Numerical ODE solver
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_329.html#operatingsystem_002dpkg">operatingsystem-pkg</a>:</td><td> </td><td align="left" valign="top">Common operating system tasks (create/remove dirs+files,...).
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_334.html#opsubst_002dpkg">opsubst-pkg</a>:</td><td> </td><td align="left" valign="top">Substitutions utility.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_336.html#orthopoly_002dpkg">orthopoly-pkg</a>:</td><td> </td><td align="left" valign="top">Orthogonal polynomials.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_339.html#pslq_002dpkg">pslq-pkg</a>:</td><td> </td><td align="left" valign="top">PSLQ algorithm for integer relations among inexact numbers
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_342.html#pytranslate">pytranslate</a>:</td><td> </td><td align="left" valign="top">Maxima to Python Translation
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_346.html#quantum_005fcomputing_002dpkg">quantum_computing-pkg</a>:</td><td> </td><td align="left" valign="top">Quantum computing circuits simulator.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_349.html#ratpow_002dpkg">ratpow-pkg</a>:</td><td> </td><td align="left" valign="top">Determine the coefficients of polynoms.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_351.html#romberg_002dpkg">romberg-pkg</a>:</td><td> </td><td align="left" valign="top">Romberg method for numerical integration.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_353.html#simplex_002dpkg">simplex-pkg</a>:</td><td> </td><td align="left" valign="top">Linear programming.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_356.html#simplification_002dpkg">simplification-pkg</a>:</td><td> </td><td align="left" valign="top">Simplification rules and functions.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_364.html#solve_005frec_002dpkg">solve_rec-pkg</a>:</td><td> </td><td align="left" valign="top">Linear recurrences.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_367.html#stats_002dpkg">stats-pkg</a>:</td><td> </td><td align="left" valign="top">Statistical inference package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_372.html#stirling_002dpkg">stirling-pkg</a>:</td><td> </td><td align="left" valign="top">Stirling formula.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_374.html#stringproc_002dpkg">stringproc-pkg</a>:</td><td> </td><td align="left" valign="top">String processing.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_380.html#to_005fpoly_005fsolve_002dpkg">to_poly_solve-pkg</a>:</td><td> </td><td align="left" valign="top">to_poly_solve package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_382.html#unit_002dpkg">unit-pkg</a>:</td><td> </td><td align="left" valign="top">Units and dimensions package.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_385.html#wrstcse_002dpkg">wrstcse-pkg</a>:</td><td> </td><td align="left" valign="top">Worstcase calculations for engineering.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_388.html#zeilberger_002dpkg">zeilberger-pkg</a>:</td><td> </td><td align="left" valign="top">Functions for hypergeometric summation.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_391.html#trigtools_002dpkg">trigtools-pkg</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b>Understanding maxima’s output</b>
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_402.html#Error-and-warning-messages">Error and warning messages</a>:</td><td> </td><td align="left" valign="top">Error and warning messages
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b>Maxima’s command-line options</b>
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_421.html#Command_002dline-options">Command-line options</a>:</td><td> </td><td align="left" valign="top">Which command-line options does Maxima support?
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b>Index</b>
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_423.html#Function-and-Variable-Index">Function and Variable Index</a>:</td><td> </td><td align="left" valign="top">Index.
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_424.html#Documentation-Categories">Documentation Categories</a>:</td><td> </td><td align="left" valign="top">Documentation categories
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
<b> — The Detailed Node Listing — </b>
Introduction
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima.html#Introduction-to-Maxima">Introduction to Maxima</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Bugs
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_1.html#Bug-Detection-and-Reporting">Bug Detection and Reporting</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Help
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_4.html#Documentation">Documentation</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_5.html#Functions-and-Variables-for-Help">Functions and Variables for Help</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Command Line
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_7.html#Introduction-to-Command-Line">Introduction to Command Line</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_8.html#Functions-and-Variables-for-Command-Line">Functions and Variables for Command Line</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_9.html#Functions-and-Variables-for-Display">Functions and Variables for Display</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Data Types and Structures
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_11.html#Numbers">Numbers</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_14.html#Strings">Strings</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_17.html#Constants">Constants</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_19.html#Lists">Lists</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_23.html#Arrays">Arrays</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_25.html#Structures">Structures</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Expressions
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_29.html#Introduction-to-Expressions">Introduction to Expressions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_30.html#Nouns-and-Verbs">Nouns and Verbs</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_31.html#Identifiers">Identifiers</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_32.html#Inequality">Inequality</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_33.html#Functions-and-Variables-for-Expressions">Functions and Variables for Expressions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Operators
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_35.html#Introduction-to-operators">Introduction to operators</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_36.html#Arithmetic-operators">Arithmetic operators</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_37.html#Relational-operators">Relational operators</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_38.html#Logical-operators">Logical operators</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_39.html#Operators-for-Equations">Operators for Equations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_40.html#Assignment-operators">Assignment operators</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_41.html#User-defined-operators">User defined operators</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Evaluation
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_43.html#Functions-and-Variables-for-Evaluation">Functions and Variables for Evaluation</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Simplification
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_46.html#Functions-and-Variables-for-Simplification">Functions and Variables for Simplification</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Elementary Functions
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_48.html#Functions-for-Numbers">Functions for Numbers</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_49.html#Functions-for-Complex-Numbers">Functions for Complex Numbers</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_50.html#Combinatorial-Functions">Combinatorial Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_51.html#Root-Exponential-and-Logarithmic-Functions">Root Exponential and Logarithmic Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_52.html#Trigonometric-Functions">Trigonometric Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_59.html#Random-Numbers">Random Numbers</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Maxima’s Database
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_61.html#Introduction-to-Maxima_0027s-Database">Introduction to Maxima's Database</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_62.html#Functions-and-Variables-for-Properties">Functions and Variables for Properties</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_63.html#Functions-and-Variables-for-Facts">Functions and Variables for Facts</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_64.html#Functions-and-Variables-for-Predicates">Functions and Variables for Predicates</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Plotting
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_66.html#Introduction-to-Plotting">Introduction to Plotting</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_67.html#Plotting-Formats">Plotting Formats</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_68.html#Functions-and-Variables-for-Plotting">Functions and Variables for Plotting</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_69.html#Plotting-Options">Plotting Options</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_70.html#Gnuplot-Options">Gnuplot Options</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_71.html#Gnuplot_005fpipes-Format-Functions">Gnuplot_pipes Format Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
File Input and Output
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_73.html#Comments">Comments</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_74.html#Files">Files</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_75.html#Functions-and-Variables-for-File-Input-and-Output">Functions and Variables for File Input and Output</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_76.html#Functions-and-Variables-for-TeX-Output">Functions and Variables for TeX Output</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_77.html#Functions-and-Variables-for-Fortran-Output">Functions and Variables for Fortran Output</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Polynomials
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_79.html#Introduction-to-Polynomials">Introduction to Polynomials</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_80.html#Functions-and-Variables-for-Polynomials">Functions and Variables for Polynomials</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_81.html#Introduction-to-algebraic-extensions">Introduction to algebraic extensions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_82.html#Functions-and-Variables-for-algebraic-extensions">Functions and Variables for algebraic extensions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Special Functions
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_84.html#Introduction-to-Special-Functions">Introduction to Special Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_85.html#Bessel-Functions">Bessel Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_86.html#Airy-Functions">Airy Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_87.html#Gamma-and-Factorial-Functions">Gamma and Factorial Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_88.html#Exponential-Integrals">Exponential Integrals</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_89.html#Error-Function">Error Function</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_90.html#Struve-Functions">Struve Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_91.html#Hypergeometric-Functions">Hypergeometric Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_92.html#Parabolic-Cylinder-Functions">Parabolic Cylinder Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_93.html#Functions-and-Variables-for-Special-Functions">Functions and Variables for Special Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Elliptic Functions
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_95.html#Introduction-to-Elliptic-Functions-and-Integrals">Introduction to Elliptic Functions and Integrals</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_96.html#Functions-and-Variables-for-Elliptic-Functions">Functions and Variables for Elliptic Functions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_97.html#Functions-and-Variables-for-Elliptic-Integrals">Functions and Variables for Elliptic Integrals</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Limits
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_99.html#Functions-and-Variables-for-Limits">Functions and Variables for Limits</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Differentiation
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_101.html#Functions-and-Variables-for-Differentiation">Functions and Variables for Differentiation</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Integration
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_103.html#Introduction-to-Integration">Introduction to Integration</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_104.html#Functions-and-Variables-for-Integration">Functions and Variables for Integration</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Equations
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_108.html#Functions-and-Variables-for-Equations">Functions and Variables for Equations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Differential Equations
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_110.html#Introduction-to-Differential-Equations">Introduction to Differential Equations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_111.html#Functions-and-Variables-for-Differential-Equations">Functions and Variables for Differential Equations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Numerical
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_113.html#Introduction-to-fast-Fourier-transform">Introduction to fast Fourier transform</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_114.html#Functions-and-Variables-for-fast-Fourier-transform">Functions and Variables for fast Fourier transform</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_116.html#Functions-for-numerical-solution-of-equations">Functions for numerical solution of equations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_117.html#Introduction-to-numerical-solution-of-differential-equations">Introduction to numerical solution of differential equations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_118.html#Functions-for-numerical-solution-of-differential-equations">Functions for numerical solution of differential equations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Matrices and Linear Algebra
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_120.html#Introduction-to-Matrices-and-Linear-Algebra">Introduction to Matrices and Linear Algebra</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_121.html#Dot">Dot</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_123.html#Vectors">Vectors</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_124.html#eigen">eigen</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_125.html#Functions-and-Variables-for-Matrices-and-Linear-Algebra">Functions and Variables for Matrices and Linear Algebra</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Affine
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_127.html#Introduction-to-Affine">Introduction to Affine</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_128.html#Functions-and-Variables-for-Affine">Functions and Variables for Affine</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
itensor
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_130.html#Introduction-to-itensor">Introduction to itensor</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_131.html#Functions-and-Variables-for-itensor">Functions and Variables for itensor</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
ctensor
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_133.html#Introduction-to-ctensor">Introduction to ctensor</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_134.html#Functions-and-Variables-for-ctensor">Functions and Variables for ctensor</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
atensor
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_136.html#Introduction-to-atensor">Introduction to atensor</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_137.html#Functions-and-Variables-for-atensor">Functions and Variables for atensor</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Sums, Products, and Series
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_139.html#Functions-and-Variables-for-Sums-and-Products">Functions and Variables for Sums and Products</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_140.html#Introduction-to-Series">Introduction to Series</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_141.html#Functions-and-Variables-for-Series">Functions and Variables for Series</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_142.html#Introduction-to-Fourier-series">Introduction to Fourier series</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_143.html#Functions-and-Variables-for-Fourier-series">Functions and Variables for Fourier series</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Number Theory
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_146.html#Functions-and-Variables-for-Number-Theory">Functions and Variables for Number Theory</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Symmetries
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_148.html#Introduction-to-Symmetries">Introduction to Symmetries</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_149.html#Functions-and-Variables-for-Symmetries">Functions and Variables for Symmetries</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Groups
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_151.html#Functions-and-Variables-for-Groups">Functions and Variables for Groups</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Runtime Environment
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_153.html#Introduction-for-Runtime-Environment">Introduction for Runtime Environment</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_154.html#Interrupts">Interrupts</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_155.html#Functions-and-Variables-for-Runtime-Environment">Functions and Variables for Runtime Environment</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Miscellaneous Options
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_157.html#Introduction-to-Miscellaneous-Options">Introduction to Miscellaneous Options</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_158.html#Share">Share</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_159.html#Functions-and-Variables-for-Miscellaneous-Options">Functions and Variables for Miscellaneous Options</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Rules and Patterns
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_161.html#Introduction-to-Rules-and-Patterns">Introduction to Rules and Patterns</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_162.html#Functions-and-Variables-for-Rules-and-Patterns">Functions and Variables for Rules and Patterns</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Sets
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_164.html#Introduction-to-Sets">Introduction to Sets</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_165.html#Functions-and-Variables-for-Sets">Functions and Variables for Sets</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Function Definition
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_167.html#Introduction-to-Function-Definition">Introduction to Function Definition</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_168.html#Function">Function</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_169.html#Macros">Macros</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_170.html#Functions-and-Variables-for-Function-Definition">Functions and Variables for Function Definition</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Program Flow
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_172.html#Lisp-and-Maxima">Lisp and Maxima</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_173.html#Garbage-Collection">Garbage Collection</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_174.html#Introduction-to-Program-Flow">Introduction to Program Flow</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_175.html#Functions-and-Variables-for-Program-Flow">Functions and Variables for Program Flow</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Debugging
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_179.html#Functions-and-Variables-for-Debugging">Functions and Variables for Debugging</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
alt-display
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_181.html#Introduction-to-alt_002ddisplay">Introduction to alt-display</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_182.html#Functions-and-Variables-for-alt_002ddisplay">Functions and Variables for alt-display</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
asympa
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_184.html#Introduction-to-asympa">Introduction to asympa</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_185.html#Functions-and-variables-for-asympa">Functions and variables for asympa</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
augmented_lagrangian
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_187.html#Functions-and-Variables-for-augmented_005flagrangian">Functions and Variables for augmented_lagrangian</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Bernstein
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_189.html#Functions-and-Variables-for-Bernstein">Functions and Variables for Bernstein</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Bitwise
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_191.html#Functions-and-Variables-for-bitwise">Functions and Variables for bitwise</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
bode
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_193.html#Functions-and-Variables-for-bode">Functions and Variables for bode</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
clebsch_gordan
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_197.html#Functions-and-Variables-for-clebsch_005fgordan">Functions and Variables for clebsch_gordan</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
cobyla
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_199.html#Introduction-to-cobyla">Introduction to cobyla</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_200.html#Functions-and-Variables-for-cobyla">Functions and Variables for cobyla</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_201.html#Examples-for-cobyla">Examples for cobyla</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
combinatorics
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_203.html#Package-combinatorics">Package combinatorics</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_204.html#Functions-and-Variables-for-Combinatorics">Functions and Variables for Combinatorics</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
contrib_ode
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_206.html#Introduction-to-contrib_005fode">Introduction to contrib_ode</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_207.html#Functions-and-Variables-for-contrib_005fode">Functions and Variables for contrib_ode</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_208.html#Possible-improvements-to-contrib_005fode">Possible improvements to contrib_ode</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_209.html#Test-cases-for-contrib_005fode">Test cases for contrib_ode</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_210.html#References-for-contrib_005fode">References for contrib_ode</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
descriptive
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_212.html#Introduction-to-descriptive">Introduction to descriptive</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_213.html#Functions-and-Variables-for-data-manipulation">Functions and Variables for data manipulation</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_214.html#Functions-and-Variables-for-descriptive-statistics">Functions and Variables for descriptive statistics</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_215.html#Functions-and-Variables-for-statistical-graphs">Functions and Variables for statistical graphs</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
diag
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_217.html#Functions-and-Variables-for-diag">Functions and Variables for diag</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
distrib
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_219.html#Introduction-to-distrib">Introduction to distrib</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_220.html#Functions-and-Variables-for-continuous-distributions">Functions and Variables for continuous distributions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_239.html#Functions-and-Variables-for-discrete-distributions">Functions and Variables for discrete distributions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
draw
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_249.html#Introduction-to-draw">Introduction to draw</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_250.html#Functions-and-Variables-for-draw">Functions and Variables for draw</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_251.html#Functions-and-Variables-for-pictures">Functions and Variables for pictures</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_252.html#Functions-and-Variables-for-worldmap">Functions and Variables for worldmap</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
drawdf
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_254.html#Introduction-to-drawdf">Introduction to drawdf</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_255.html#Functions-and-Variables-for-drawdf">Functions and Variables for drawdf</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
dynamics
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_257.html#The-dynamics-package">The dynamics package</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_258.html#Graphical-analysis-of-discrete-dynamical-systems">Graphical analysis of discrete dynamical systems</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_259.html#Visualization-with-VTK">Visualization with VTK</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
ezunits
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_263.html#Introduction-to-ezunits">Introduction to ezunits</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_264.html#Introduction-to-physical_005fconstants">Introduction to physical_constants</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_265.html#Functions-and-Variables-for-ezunits">Functions and Variables for ezunits</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
f90
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_267.html#Package-f90">Package f90</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
finance
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_269.html#Introduction-to-finance">Introduction to finance</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_270.html#Functions-and-Variables-for-finance">Functions and Variables for finance</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
fractals
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_272.html#Introduction-to-fractals">Introduction to fractals</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_273.html#Definitions-for-IFS-fractals">Definitions for IFS fractals</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_274.html#Definitions-for-complex-fractals">Definitions for complex fractals</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_275.html#Definitions-for-Koch-snowflakes">Definitions for Koch snowflakes</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_276.html#Definitions-for-Peano-maps">Definitions for Peano maps</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
gentran
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_278.html#Introduction-to-Gentran">Introduction to Gentran</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_279.html#Functions-for-Gentran">Functions for Gentran</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_280.html#Gentran-Mode-Switches">Gentran Mode Switches</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_281.html#Gentran-Option-Variables">Gentran Option Variables</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_282.html#Gentran-Evaluation-Forms">Gentran Evaluation Forms</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
ggf
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_284.html#Functions-and-Variables-for-ggf">Functions and Variables for ggf</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
graphs
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_286.html#Introduction-to-graphs">Introduction to graphs</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_287.html#Functions-and-Variables-for-graphs">Functions and Variables for graphs</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
grobner
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_289.html#Introduction-to-grobner">Introduction to grobner</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_290.html#Functions-and-Variables-for-grobner">Functions and Variables for grobner</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
hompack
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_292.html#Introduction-to-hompack">Introduction to hompack</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_293.html#Functions-and-Variables-for-hompack">Functions and Variables for hompack</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
impdiff
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_295.html#Functions-and-Variables-for-impdiff">Functions and Variables for impdiff</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
interpol
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_297.html#Introduction-to-interpol">Introduction to interpol</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_298.html#Functions-and-Variables-for-interpol">Functions and Variables for interpol</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
lapack
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_300.html#Introduction-to-lapack">Introduction to lapack</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_301.html#Functions-and-Variables-for-lapack">Functions and Variables for lapack</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
lbfgs
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_303.html#Introduction-to-lbfgs">Introduction to lbfgs</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_304.html#Functions-and-Variables-for-lbfgs">Functions and Variables for lbfgs</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
lindstedt
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_306.html#Functions-and-Variables-for-lindstedt">Functions and Variables for lindstedt</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
linearalgebra
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_308.html#Introduction-to-linearalgebra">Introduction to linearalgebra</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_309.html#Functions-and-Variables-for-linearalgebra">Functions and Variables for linearalgebra</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
lsquares
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_311.html#Introduction-to-lsquares">Introduction to lsquares</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_312.html#Functions-and-Variables-for-lsquares">Functions and Variables for lsquares</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
makeOrders
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_317.html#Functions-and-Variables-for-makeOrders">Functions and Variables for makeOrders</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
minpack
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_314.html#Introduction-to-minpack">Introduction to minpack</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_315.html#Functions-and-Variables-for-minpack">Functions and Variables for minpack</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
mnewton
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_319.html#Introduction-to-mnewton">Introduction to mnewton</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_320.html#Functions-and-Variables-for-mnewton">Functions and Variables for mnewton</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
numericalio
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_322.html#Introduction-to-numericalio">Introduction to numericalio</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_323.html#Functions-and-Variables-for-plain_002dtext-input-and-output">Functions and Variables for plain-text input and output</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_324.html#Functions-and-Variables-for-binary-input-and-output">Functions and Variables for binary input and output</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
odepack
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_326.html#Introduction-to-ODEPACK">Introduction to ODEPACK</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_328.html#Functions-and-Variables-for-odepack">Functions and Variables for odepack</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
operatingsystem
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_330.html#Introduction-to-operatingsystem">Introduction to operatingsystem</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_331.html#Directory-operations">Directory operations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_333.html#Environment-operations">Environment operations</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
opsubst
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_335.html#Functions-and-Variables-for-opsubst">Functions and Variables for opsubst</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
orthopoly
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_337.html#Introduction-to-orthogonal-polynomials">Introduction to orthogonal polynomials</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_338.html#Functions-and-Variables-for-orthogonal-polynomials">Functions and Variables for orthogonal polynomials</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
pslq
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_340.html#Introduction-to-pslq">Introduction to pslq</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_341.html#Functions-and-Variables-for-pslq">Functions and Variables for pslq</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
pytranslate
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_343.html#Introduction-to-pytranslate">Introduction to pytranslate</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_344.html#Functions-in-pytranslate">Functions in pytranslate</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_345.html#Extending-pytranslate">Extending pytranslate</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
quantum_computing
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_347.html#Package-quantum_005fcomputing">Package quantum_computing</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_348.html#Functions-and-Variables-for-Quantum_005fComputing">Functions and Variables for Quantum_Computing</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
ratpow
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_350.html#Functions-and-Variables-for-ratpow">Functions and Variables for ratpow</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
romberg
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_352.html#Functions-and-Variables-for-romberg">Functions and Variables for romberg</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
simplex
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_354.html#Introduction-to-simplex">Introduction to simplex</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_355.html#Functions-and-Variables-for-simplex">Functions and Variables for simplex</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
simplification
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_357.html#Introduction-to-simplification">Introduction to simplification</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_358.html#Package-absimp">Package absimp</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_359.html#Package-facexp">Package facexp</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_360.html#Package-functs">Package functs</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_361.html#Package-ineq">Package ineq</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_362.html#Package-rducon">Package rducon</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_363.html#Package-scifac">Package scifac</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
solve_rec
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_365.html#Introduction-to-solve_005frec">Introduction to solve_rec</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_366.html#Functions-and-Variables-for-solve_005frec">Functions and Variables for solve_rec</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
stats
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_368.html#Introduction-to-stats">Introduction to stats</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_369.html#Functions-and-Variables-for-inference_005fresult">Functions and Variables for inference_result</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_370.html#Functions-and-Variables-for-stats">Functions and Variables for stats</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_371.html#Functions-and-Variables-for-special-distributions">Functions and Variables for special distributions</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
stirling
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_373.html#Functions-and-Variables-for-stirling">Functions and Variables for stirling</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
stringproc
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_375.html#Introduction-to-String-Processing">Introduction to String Processing</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_376.html#String-Input-and-Output">String Input and Output</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_377.html#Characters">Characters</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_378.html#String-Processing">String Processing</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_379.html#Octets-and-Utilities-for-Cryptography">Octets and Utilities for Cryptography</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
to_poly_solve
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_381.html#Functions-and-Variables-for-to_005fpoly_005fsolve">Functions and Variables for to_poly_solve</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
unit
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_383.html#Introduction-to-Units">Introduction to Units</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_384.html#Functions-and-Variables-for-Units">Functions and Variables for Units</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
zeilberger
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_389.html#Introduction-to-zeilberger">Introduction to zeilberger</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_390.html#Functions-and-Variables-for-zeilberger">Functions and Variables for zeilberger</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
trigtools
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_392.html#Introduction-to-trigtools">Introduction to trigtools</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_393.html#Functions-and-Variables-for-trigtools">Functions and Variables for trigtools</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">• <a href="maxima_401.html#References">References</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
<tr><th colspan="3" align="left" valign="top"><pre class="menu-comment">
Understanding maxima’s output
</pre></th></tr><tr><td align="left" valign="top">• <a href="maxima_402.html#Error-and-warning-messages">Error and warning messages</a>:</td><td> </td><td align="left" valign="top">
</td></tr>
</table>
<hr>
<div class="header">
<p>
Next: <a href="maxima.html#Introduction-to-Maxima" accesskey="n" rel="next">Introduction to Maxima</a>, Previous: <a href="../dir/index.html" accesskey="p" rel="previous">(dir)</a>, Up: <a href="../dir/index.html" accesskey="u" rel="up">(dir)</a> [<a href="#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_423.html#Function-and-Variable-Index" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>
|
