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
|
FunctionalChaosResult
- input dimension=4
- output dimension=1
- distribution dimension=4
- transformation=4 -> 4
- inverse transformation=4 -> 4
- orthogonal basis dimension=4
- indices size=36
- relative errors=[3.53583e-08]
- residuals=[6.29152e-05]
| Index | Multi-index | Coefficient |
|-------|---------------|---------------|
| 0 | [0,0,0,0] | -8.29758 |
| 1 | [1,0,0,0] | 0.0636641 |
| 2 | [0,1,0,0] | -0.0337627 |
| 3 | [0,0,1,0] | 0.584497 |
| 4 | [0,0,0,1] | -0.00718894 |
| 5 | [2,0,0,0] | -0.0121294 |
| 6 | [1,1,0,0] | -0.0104684 |
| 7 | [1,0,1,0] | 0.00228252 |
| 8 | [1,0,0,1] | -0.00203856 |
| 9 | [0,2,0,0] | 0.0110272 |
| 10 | [0,1,1,0] | -0.00111042 |
| 11 | [0,1,0,1] | 0.00122769 |
| 12 | [0,0,2,0] | 0.000548324 |
| 13 | [0,0,1,1] | -0.00105963 |
| 14 | [0,0,0,2] | 0.000422835 |
| 15 | [3,0,0,0] | -0.00153334 |
| 16 | [2,1,0,0] | 0.00148709 |
| 17 | [1,2,0,0] | 0.00298486 |
| 18 | [0,3,0,0] | -0.00342883 |
| 19 | [4,0,0,0] | -0.00566944 |
| 20 | [2,2,0,0] | -0.000605201 |
| 21 | [0,2,1,1] | 0.000126806 |
| 22 | [3,1,0,1] | -0.000730883 |
| 23 | [0,3,1,1] | -0.000166572 |
| 24 | [3,2,0,1] | 0.000572709 |
| 25 | [3,1,1,1] | -0.000112961 |
| 26 | [2,1,2,1] | 0.000489981 |
| 27 | [1,5,0,0] | 0.00089058 |
| 28 | [0,6,0,0] | -0.00218797 |
| 29 | [0,3,2,1] | -0.000157835 |
| 30 | [0,3,1,2] | -0.000416978 |
| 31 | [0,2,1,3] | 0.000129063 |
| 32 | [3,3,1,0] | -0.00027597 |
| 33 | [3,3,0,1] | -0.000322225 |
| 34 | [2,3,2,0] | 0.000526436 |
| 35 | [2,2,2,1] | 0.000109233 |
<ul>
<li>input dimension: 4</li>
<li>output dimension: 1</li>
<li>distribution dimension: 4</li>
<li>transformation: 4 -> 4</li>
<li>inverse transformation: 4 -> 4</li>
<li>orthogonal basis dimension: 4</li>
<li>indices size: 36</li>
<li>relative errors: [3.53583e-08]</li>
<li>residuals: [6.29152e-05]</li>
</ul>
<table>
<tr>
<th>Index</th>
<th>Multi-index</th>
<th>Coeff.</th>
</tr>
<tr>
<th>0</th>
<td>[0,0,0,0]</td>
<td>-8.29758</td>
</tr>
<tr>
<th>1</th>
<td>[1,0,0,0]</td>
<td>0.06366408</td>
</tr>
<tr>
<th>2</th>
<td>[0,1,0,0]</td>
<td>-0.03376269</td>
</tr>
<tr>
<th>3</th>
<td>[0,0,1,0]</td>
<td>0.5844969</td>
</tr>
<tr>
<th>4</th>
<td>[0,0,0,1]</td>
<td>-0.007188937</td>
</tr>
<tr>
<th>5</th>
<td>[2,0,0,0]</td>
<td>-0.01212942</td>
</tr>
<tr>
<th>6</th>
<td>[1,1,0,0]</td>
<td>-0.01046845</td>
</tr>
<tr>
<th>7</th>
<td>[1,0,1,0]</td>
<td>0.002282517</td>
</tr>
<tr>
<th>8</th>
<td>[1,0,0,1]</td>
<td>-0.00203856</td>
</tr>
<tr>
<th>9</th>
<td>[0,2,0,0]</td>
<td>0.01102717</td>
</tr>
<tr>
<th>10</th>
<td>[0,1,1,0]</td>
<td>-0.001110419</td>
</tr>
<tr>
<th>11</th>
<td>[0,1,0,1]</td>
<td>0.00122769</td>
</tr>
<tr>
<th>12</th>
<td>[0,0,2,0]</td>
<td>0.0005483241</td>
</tr>
<tr>
<th>13</th>
<td>[0,0,1,1]</td>
<td>-0.001059632</td>
</tr>
<tr>
<th>14</th>
<td>[0,0,0,2]</td>
<td>0.0004228353</td>
</tr>
<tr>
<th>15</th>
<td>[3,0,0,0]</td>
<td>-0.001533338</td>
</tr>
<tr>
<th>16</th>
<td>[2,1,0,0]</td>
<td>0.001487086</td>
</tr>
<tr>
<th>17</th>
<td>[1,2,0,0]</td>
<td>0.002984864</td>
</tr>
<tr>
<th>18</th>
<td>[0,3,0,0]</td>
<td>-0.003428825</td>
</tr>
<tr>
<th>19</th>
<td>[4,0,0,0]</td>
<td>-0.005669443</td>
</tr>
<tr>
<th>20</th>
<td>[2,2,0,0]</td>
<td>-0.0006052012</td>
</tr>
<tr>
<th>21</th>
<td>[0,2,1,1]</td>
<td>0.0001268058</td>
</tr>
<tr>
<th>22</th>
<td>[3,1,0,1]</td>
<td>-0.0007308834</td>
</tr>
<tr>
<th>23</th>
<td>[0,3,1,1]</td>
<td>-0.0001665722</td>
</tr>
<tr>
<th>24</th>
<td>[3,2,0,1]</td>
<td>0.0005727085</td>
</tr>
<tr>
<th>25</th>
<td>[3,1,1,1]</td>
<td>-0.0001129613</td>
</tr>
<tr>
<th>26</th>
<td>[2,1,2,1]</td>
<td>0.0004899807</td>
</tr>
<tr>
<th>27</th>
<td>[1,5,0,0]</td>
<td>0.0008905801</td>
</tr>
<tr>
<th>28</th>
<td>[0,6,0,0]</td>
<td>-0.002187966</td>
</tr>
<tr>
<th>29</th>
<td>[0,3,2,1]</td>
<td>-0.0001578355</td>
</tr>
<tr>
<th>30</th>
<td>[0,3,1,2]</td>
<td>-0.0004169784</td>
</tr>
<tr>
<th>31</th>
<td>[0,2,1,3]</td>
<td>0.000129063</td>
</tr>
<tr>
<th>32</th>
<td>[3,3,1,0]</td>
<td>-0.0002759699</td>
</tr>
<tr>
<th>33</th>
<td>[3,3,0,1]</td>
<td>-0.0003222245</td>
</tr>
<tr>
<th>34</th>
<td>[2,3,2,0]</td>
<td>0.000526436</td>
</tr>
<tr>
<th>35</th>
<td>[2,2,2,1]</td>
<td>0.0001092328</td>
</tr>
</table>
FunctionalChaosResult
- input dimension=4
- output dimension=1
- distribution dimension=4
- transformation=4 -> 4
- inverse transformation=4 -> 4
- orthogonal basis dimension=4
- indices size=36
- relative errors=[3.53583e-08]
- residuals=[6.29152e-05]
| Index | Multi-index | Coefficient |
|-------|---------------|---------------|
| 0 | [0,0,0,0] | -8.29758 |
| 1 | [1,0,0,0] | 0.0636641 |
| 2 | [0,1,0,0] | -0.0337627 |
| 3 | [0,0,1,0] | 0.584497 |
| 4 | [0,0,0,1] | -0.00718894 |
| 5 | [2,0,0,0] | -0.0121294 |
| 6 | [1,1,0,0] | -0.0104684 |
| 7 | [1,0,1,0] | 0.00228252 |
| 8 | [1,0,0,1] | -0.00203856 |
| 9 | [0,2,0,0] | 0.0110272 |
| 10 | [0,1,1,0] | -0.00111042 |
| 11 | [0,1,0,1] | 0.00122769 |
| 12 | [0,0,2,0] | 0.000548324 |
| 13 | [0,0,1,1] | -0.00105963 |
| 14 | [0,0,0,2] | 0.000422835 |
| 15 | [3,0,0,0] | -0.00153334 |
| 16 | [2,1,0,0] | 0.00148709 |
| 17 | [1,2,0,0] | 0.00298486 |
| 18 | [0,3,0,0] | -0.00342883 |
| 19 | [4,0,0,0] | -0.00566944 |
| 20 | [2,2,0,0] | -0.000605201 |
| 21 | [0,2,1,1] | 0.000126806 |
| 22 | [3,1,0,1] | -0.000730883 |
| 23 | [0,3,1,1] | -0.000166572 |
| 24 | [3,2,0,1] | 0.000572709 |
| 25 | [3,1,1,1] | -0.000112961 |
| 26 | [2,1,2,1] | 0.000489981 |
| 27 | [1,5,0,0] | 0.00089058 |
| 28 | [0,6,0,0] | -0.00218797 |
| 29 | [0,3,2,1] | -0.000157835 |
| 30 | [0,3,1,2] | -0.000416978 |
| 31 | [0,2,1,3] | 0.000129063 |
| 32 | [3,3,1,0] | -0.00027597 |
| 33 | [3,3,0,1] | -0.000322225 |
| 34 | [2,3,2,0] | 0.000526436 |
| 35 | [2,2,2,1] | 0.000109233 |
FunctionalChaosResult
- input dimension=4
- output dimension=20
- distribution dimension=4
- transformation=4 -> 4
- inverse transformation=4 -> 4
- orthogonal basis dimension=4
- indices size=56
- relative errors=[2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.63063e-06,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07]#20
- residuals=[0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000585276,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432]#20
| Index | Multi-index | Coeff. #0 | Coeff. #1 | Coeff. #2 | ... | Coeff. #17 | Coeff. #18 | Coeff. #19 |
|-------|---------------|---------------|---------------|---------------|---------------|---------------|---------------|---------------|
| 0 | [0,0,0,0] | -8.29756 | -7.29756 | -6.29756 | ... | 8.70243 | 9.70243 | 10.7024 |
| 1 | [1,0,0,0] | 0.0639501 | 0.0639501 | 0.0639501 | ... | 0.0640074 | 0.0640074 | 0.0640074 |
| 2 | [0,1,0,0] | -0.0336704 | -0.0336704 | -0.0336704 | ... | -0.0336164 | -0.0336164 | -0.0336164 |
| ... | | | | | ... | | | |
| 53 | [1,0,1,5] | 0 | 0 | 0 | ... | 0 | 0 | 0 |
| 54 | [1,0,0,6] | 0 | 0 | 0 | ... | 0 | 0 | 0 |
| 55 | [0,0,1,6] | 0 | 0 | 0 | ... | 0 | 0 | 0 |
<ul>
<li>input dimension: 4</li>
<li>output dimension: 20</li>
<li>distribution dimension: 4</li>
<li>transformation: 4 -> 4</li>
<li>inverse transformation: 4 -> 4</li>
<li>orthogonal basis dimension: 4</li>
<li>indices size: 56</li>
<li>relative errors: [2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.63063e-06,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07]#20</li>
<li>residuals: [0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000585276,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432]#20</li>
</ul>
<table>
<tr>
<th>Index</th>
<th>Multi-index</th>
<th>Coeff.#0</th>
<th>Coeff.#1</th>
<th>Coeff.#2</th>
<th>...</th>
<th>Coeff.#17</th>
<th>Coeff.#18</th>
<th>Coeff.#19</th>
</tr>
<tr>
<th>0</th>
<td>[0,0,0,0]</td>
<td>-8.297564</td>
<td>-7.297564</td>
<td>-6.297564</td>
<td>...</td>
<td>8.702431</td>
<td>9.702431</td>
<td>10.70243</td>
</tr>
<tr>
<th>1</th>
<td>[1,0,0,0]</td>
<td>0.06395006</td>
<td>0.06395006</td>
<td>0.06395006</td>
<td>...</td>
<td>0.06400735</td>
<td>0.06400735</td>
<td>0.06400735</td>
</tr>
<tr>
<th>2</th>
<td>[0,1,0,0]</td>
<td>-0.03367039</td>
<td>-0.03367039</td>
<td>-0.03367039</td>
<td>...</td>
<td>-0.03361636</td>
<td>-0.03361636</td>
<td>-0.03361636</td>
</tr>
<tr>
<td colspan="9">...</td>
</tr>
<tr>
<th>53</th>
<td>[1,0,1,5]</td>
<td>0</td>
<td>0</td>
<td>0</td>
<td>...</td>
<td>0</td>
<td>0</td>
<td>0</td>
</tr>
<tr>
<th>54</th>
<td>[1,0,0,6]</td>
<td>0</td>
<td>0</td>
<td>0</td>
<td>...</td>
<td>0</td>
<td>0</td>
<td>0</td>
</tr>
<tr>
<th>55</th>
<td>[0,0,1,6]</td>
<td>0</td>
<td>0</td>
<td>0</td>
<td>...</td>
<td>0</td>
<td>0</td>
<td>0</td>
</tr>
</table>
FunctionalChaosResult
- input dimension=4
- output dimension=20
- distribution dimension=4
- transformation=4 -> 4
- inverse transformation=4 -> 4
- orthogonal basis dimension=4
- indices size=56
- relative errors=[2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.5095e-07,2.63063e-06,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07,2.47909e-07]#20
- residuals=[0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000216145,0.000585276,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432,0.000216432]#20
| Index | Multi-index | Coeff. #0 | Coeff. #1 | Coeff. #2 | ... | Coeff. #17 | Coeff. #18 | Coeff. #19 |
|-------|---------------|---------------|---------------|---------------|---------------|---------------|---------------|---------------|
| 0 | [0,0,0,0] | -8.29756 | -7.29756 | -6.29756 | ... | 8.70243 | 9.70243 | 10.7024 |
| 1 | [1,0,0,0] | 0.0639501 | 0.0639501 | 0.0639501 | ... | 0.0640074 | 0.0640074 | 0.0640074 |
| 2 | [0,1,0,0] | -0.0336704 | -0.0336704 | -0.0336704 | ... | -0.0336164 | -0.0336164 | -0.0336164 |
| ... | | | | | ... | | | |
| 53 | [1,0,1,5] | 0 | 0 | 0 | ... | 0 | 0 | 0 |
| 54 | [1,0,0,6] | 0 | 0 | 0 | ... | 0 | 0 | 0 |
| 55 | [0,0,1,6] | 0 | 0 | 0 | ... | 0 | 0 | 0 |
Composed metamodel =
<ul>
<li> Input dimension = 4 </li>
<li> Input description = [x0,x1,x2,x3] </li>
<li> Output dimension = 20 </li>
<li> Size = 56 </li>
</ul>
<table>
<tr>
<th>Coefficient</th>
<th>Function</th>
</tr>
<tr>
<td>[-8.29756,-7.29756,-6.29756,-5.29756,-4.29756,-3.29756,-2.29756,-1.29756,-0.298914,0.702431,1.70243,2.70243,3.70243,4.70243,5.70243,6.70243,7.70243,8.70243,9.70243,10.7024]#20</td>
<td>1</td>
</tr>
<tr>
<td>[0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0627427,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074]#20</td>
<td>-1.87569 + 0.00140172 <span>×</span> x0</td>
</tr>
<tr>
<td>[-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0345953,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164]#20</td>
<td>-4.00121 + 0.133369 <span>×</span> x1</td>
</tr>
<tr>
<td>[0.584264,0.584264,0.584264,0.584264,0.584264,0.584264,0.584264,0.584264,0.584287,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274]#20</td>
<td>1.73205 <span>×</span> x2</td>
</tr>
<tr>
<td>[-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,0,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762]#20</td>
<td>1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.0117515,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288]#20</td>
<td>2.66787 - 0.00391513 <span>×</span> x0 + 1.11808e-06 <span>×</span> x0<sup>2</sup></td>
</tr>
<tr>
<td>[-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,0,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.0027732,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> 1.73205 <span>×</span> x2</td>
</tr>
<tr>
<td>[0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0120432,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954]#20</td>
<td>10.6377 - 0.756185 <span>×</span> x1 + 0.0125995 <span>×</span> x1<sup>2</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,9.96362e-05,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>-1.11803 + 3.3541 <span>×</span> x2<sup>2</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00057888,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>1.73205 <span>×</span> x2 <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077]#20</td>
<td>-3.35707 + 0.00734507 <span>×</span> x0 - 4.12446e-06 <span>×</span> x0<sup>2</sup> + 6.20008e-10 <span>×</span> x0<sup>3</sup></td>
</tr>
<tr>
<td>[0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (10.6377 - 0.756185 <span>×</span> x1 + 0.0125995 <span>×</span> x1<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000921093,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x2<sup>2</sup>)</td>
</tr>
<tr>
<td>[-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,0,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129]#20</td>
<td>-21.59 + 2.48511 <span>×</span> x1 - 0.0881978 <span>×</span> x1<sup>2</sup> + 0.000978555 <span>×</span> x1<sup>3</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00170031,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(10.6377 - 0.756185 <span>×</span> x1 + 0.0125995 <span>×</span> x1<sup>2</sup>) <span>×</span> 1.73205 <span>×</span> x2</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00225372,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(10.6377 - 0.756185 <span>×</span> x1 + 0.0125995 <span>×</span> x1<sup>2</sup>) <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00260801,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x2<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000852122,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00127259,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>-3.96863 <span>×</span> x2 + 6.61438 <span>×</span> x2<sup>3</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.000337234,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.11803 + 3.3541 <span>×</span> x2<sup>2</sup>) <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,0,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346]#20</td>
<td>3.93911 - 0.0115182 <span>×</span> x0 + 9.61616e-06 <span>×</span> x0<sup>2</sup> - 2.85793e-09 <span>×</span> x0<sup>3</sup> + 2.63491e-13 <span>×</span> x0<sup>4</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.0035371,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(2.66787 - 0.00391513 <span>×</span> x0 + 1.11808e-06 <span>×</span> x0<sup>2</sup>) <span>×</span> 1.73205 <span>×</span> x2 <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000802261,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> 1.73205 <span>×</span> x2 <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,0,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445]#20</td>
<td>(-21.59 + 2.48511 <span>×</span> x1 - 0.0881978 <span>×</span> x1<sup>2</sup> + 0.000978555 <span>×</span> x1<sup>3</sup>) <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00126332,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (-3.96863 <span>×</span> x2 + 6.61438 <span>×</span> x2<sup>3</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000217839,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>1.125 - 11.25 <span>×</span> x2<sup>2</sup> + 13.125 <span>×</span> x2<sup>4</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00131871,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>1.125 - 11.25 <span>×</span> x3<sup>2</sup> + 13.125 <span>×</span> x3<sup>4</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00165501,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(2.66787 - 0.00391513 <span>×</span> x0 + 1.11808e-06 <span>×</span> x0<sup>2</sup>) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x2<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00241226,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(2.66787 - 0.00391513 <span>×</span> x0 + 1.11808e-06 <span>×</span> x0<sup>2</sup>) <span>×</span> 1.73205 <span>×</span> x2 <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00239649,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (10.6377 - 0.756185 <span>×</span> x1 + 0.0125995 <span>×</span> x1<sup>2</sup>) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00104576,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (-3.96863 <span>×</span> x2 + 6.61438 <span>×</span> x2<sup>3</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.000476318,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> 1.73205 <span>×</span> x2 <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000750135,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (1.125 - 11.25 <span>×</span> x3<sup>2</sup> + 13.125 <span>×</span> x3<sup>4</sup>)</td>
</tr>
<tr>
<td>[0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445]#20</td>
<td>(35.6274 - 5.99016 <span>×</span> x1 + 0.342712 <span>×</span> x1<sup>2</sup> - 0.00807257 <span>×</span> x1<sup>3</sup> + 6.69375e-05 <span>×</span> x1<sup>4</sup>) <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00151753,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-21.59 + 2.48511 <span>×</span> x1 - 0.0881978 <span>×</span> x1<sup>2</sup> + 0.000978555 <span>×</span> x1<sup>3</sup>) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000192616,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(10.6377 - 0.756185 <span>×</span> x1 + 0.0125995 <span>×</span> x1<sup>2</sup>) <span>×</span> (-3.96863 <span>×</span> x3 + 6.61438 <span>×</span> x3<sup>3</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,2.90669e-05,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>6.21867 <span>×</span> x2 - 29.0205 <span>×</span> x2<sup>3</sup> + 26.1184 <span>×</span> x2<sup>5</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000986842,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-3.35707 + 0.00734507 <span>×</span> x0 - 4.12446e-06 <span>×</span> x0<sup>2</sup> + 6.20008e-10 <span>×</span> x0<sup>3</sup>) <span>×</span> (-3.96863 <span>×</span> x3 + 6.61438 <span>×</span> x3<sup>3</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.000332604,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-21.59 + 2.48511 <span>×</span> x1 - 0.0881978 <span>×</span> x1<sup>2</sup> + 0.000978555 <span>×</span> x1<sup>3</sup>) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x2<sup>2</sup>)</td>
</tr>
<tr>
<td>[-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,0,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-21.59 + 2.48511 <span>×</span> x1 - 0.0881978 <span>×</span> x1<sup>2</sup> + 0.000978555 <span>×</span> x1<sup>3</sup>) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00135063,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (6.21867 <span>×</span> x3 - 29.0205 <span>×</span> x3<sup>3</sup> + 26.1184 <span>×</span> x3<sup>5</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00236117,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>63.4174 - 20.0089 <span>×</span> x1 + 2.24735 <span>×</span> x1<sup>2</sup> - 0.120561 <span>×</span> x1<sup>3</sup> + 0.00334188 <span>×</span> x1<sup>4</sup> - 4.61067e-05 <span>×</span> x1<sup>5</sup> + 2.50028e-07 <span>×</span> x1<sup>6</sup></td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00221572,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-50.2377 + 11.7408 <span>×</span> x1 - 0.969964 <span>×</span> x1<sup>2</sup> + 0.0365412 <span>×</span> x1<sup>3</sup> - 0.00063952 <span>×</span> x1<sup>4</sup> + 4.2109e-06 <span>×</span> x1<sup>5</sup>) <span>×</span> 1.73205 <span>×</span> x2</td>
</tr>
<tr>
<td>[-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,0,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084]#20</td>
<td>(-50.2377 + 11.7408 <span>×</span> x1 - 0.969964 <span>×</span> x1<sup>2</sup> + 0.0365412 <span>×</span> x1<sup>3</sup> - 0.00063952 <span>×</span> x1<sup>4</sup> + 4.2109e-06 <span>×</span> x1<sup>5</sup>) <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00363071,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-21.59 + 2.48511 <span>×</span> x1 - 0.0881978 <span>×</span> x1<sup>2</sup> + 0.000978555 <span>×</span> x1<sup>3</sup>) <span>×</span> (-3.96863 <span>×</span> x2 + 6.61438 <span>×</span> x2<sup>3</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.000265954,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-3.35707 + 0.00734507 <span>×</span> x0 - 4.12446e-06 <span>×</span> x0<sup>2</sup> + 6.20008e-10 <span>×</span> x0<sup>3</sup>) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> 1.73205 <span>×</span> x2 <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00103441,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-3.35707 + 0.00734507 <span>×</span> x0 - 4.12446e-06 <span>×</span> x0<sup>2</sup> + 6.20008e-10 <span>×</span> x0<sup>3</sup>) <span>×</span> (1.125 - 11.25 <span>×</span> x2<sup>2</sup> + 13.125 <span>×</span> x2<sup>4</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00315489,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(2.66787 - 0.00391513 <span>×</span> x0 + 1.11808e-06 <span>×</span> x0<sup>2</sup>) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x2<sup>2</sup>) <span>×</span> (-1.11803 + 3.3541 <span>×</span> x3<sup>2</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.00231383,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-50.2377 + 11.7408 <span>×</span> x1 - 0.969964 <span>×</span> x1<sup>2</sup> + 0.0365412 <span>×</span> x1<sup>3</sup> - 0.00063952 <span>×</span> x1<sup>4</sup> + 4.2109e-06 <span>×</span> x1<sup>5</sup>) <span>×</span> 1.73205 <span>×</span> x2</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000275197,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (1.125 - 11.25 <span>×</span> x2<sup>2</sup> + 13.125 <span>×</span> x2<sup>4</sup>) <span>×</span> 1.73205 <span>×</span> x3</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000330104,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-4.00121 + 0.133369 <span>×</span> x1) <span>×</span> (6.21867 <span>×</span> x3 - 29.0205 <span>×</span> x3<sup>3</sup> + 26.1184 <span>×</span> x3<sup>5</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.000542696,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-1.12673 + 23.6614 <span>×</span> x2<sup>2</sup> - 70.9843 <span>×</span> x2<sup>4</sup> + 52.0551 <span>×</span> x2<sup>6</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.000739843,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> 1.73205 <span>×</span> x2 <span>×</span> (6.21867 <span>×</span> x3 - 29.0205 <span>×</span> x3<sup>3</sup> + 26.1184 <span>×</span> x3<sup>5</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,-0.000367056,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>(-1.87569 + 0.00140172 <span>×</span> x0) <span>×</span> (-1.12673 + 23.6614 <span>×</span> x3<sup>2</sup> - 70.9843 <span>×</span> x3<sup>4</sup> + 52.0551 <span>×</span> x3<sup>6</sup>)</td>
</tr>
<tr>
<td>[0,0,0,0,0,0,0,0,0.00225843,0,0,0,0,0,0,0,0,0,0,0]#20</td>
<td>1.73205 <span>×</span> x2 <span>×</span> (-1.12673 + 23.6614 <span>×</span> x3<sup>2</sup> - 70.9843 <span>×</span> x3<sup>4</sup> + 52.0551 <span>×</span> x3<sup>6</sup>)</td>
</tr>
</table>
Metamodel =
<p>([-8.29756,-7.29756,-6.29756,-5.29756,-4.29756,-3.29756,-2.29756,-1.29756,-0.298914,0.702431,1.70243,2.70243,3.70243,4.70243,5.70243,6.70243,7.70243,8.70243,9.70243,10.7024]#20 + [0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0639501,0.0627427,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074,0.0640074]#20 * (-1.87569 + 0.00140172 * x0) + [-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0336704,-0.0345953,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164,-0.0336164]#20 * (-4.00121 + 0.133369 * x1) + [0.584264,0.584264,0.584264,0.584264,0.584264,0.584264,0.584264,0.584264,0.584287,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274,0.584274]#20 * (1.73205 * x2) + [-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,-0.00708706,0,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762,-0.00708762]#20 * (1.73205 * x3) + [-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.00994781,-0.0117515,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288,-0.00993288]#20 * (2.66787 - 0.00391513 * x0 + 1.11808e-06 * x0^2) + [-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,-0.0103194,0,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764,-0.0102764]#20 * ((-1.87569 + 0.00140172 * x0) * (-4.00121 + 0.133369 * x1)) + [0,0,0,0,0,0,0,0,0.0027732,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (1.73205 * x2)) + [0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0114017,0.0120432,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954,0.0113954]#20 * (10.6377 - 0.756185 * x1 + 0.0125995 * x1^2) + [0,0,0,0,0,0,0,0,9.96362e-05,0,0,0,0,0,0,0,0,0,0,0]#20 * (-1.11803 + 3.3541 * x2^2) + [0,0,0,0,0,0,0,0,-0.00057888,0,0,0,0,0,0,0,0,0,0,0]#20 * ((1.73205 * x2) * (1.73205 * x3)) + [0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0.00304399,0,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077,0.00304077]#20 * (-3.35707 + 0.00734507 * x0 - 4.12446e-06 * x0^2 + 6.20008e-10 * x0^3) + [0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0.0020856,0,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104,0.00226104]#20 * ((-1.87569 + 0.00140172 * x0) * (10.6377 - 0.756185 * x1 + 0.0125995 * x1^2)) + [0,0,0,0,0,0,0,0,-0.000921093,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-1.11803 + 3.3541 * x2^2)) + [-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,-0.00418823,0,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129,-0.00408129]#20 * (-21.59 + 2.48511 * x1 - 0.0881978 * x1^2 + 0.000978555 * x1^3) + [0,0,0,0,0,0,0,0,0.00170031,0,0,0,0,0,0,0,0,0,0,0]#20 * ((10.6377 - 0.756185 * x1 + 0.0125995 * x1^2) * (1.73205 * x2)) + [0,0,0,0,0,0,0,0,0.00225372,0,0,0,0,0,0,0,0,0,0,0]#20 * ((10.6377 - 0.756185 * x1 + 0.0125995 * x1^2) * (1.73205 * x3)) + [0,0,0,0,0,0,0,0,0.00260801,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-4.00121 + 0.133369 * x1) * (-1.11803 + 3.3541 * x2^2)) + [0,0,0,0,0,0,0,0,-0.000852122,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-4.00121 + 0.133369 * x1) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,-0.00127259,0,0,0,0,0,0,0,0,0,0,0]#20 * (-3.96863 * x2 + 6.61438 * x2^3) + [0,0,0,0,0,0,0,0,0.000337234,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.11803 + 3.3541 * x2^2) * (1.73205 * x3)) + [-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,-0.00274388,0,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346,-0.00273346]#20 * (3.93911 - 0.0115182 * x0 + 9.61616e-06 * x0^2 - 2.85793e-09 * x0^3 + 2.63491e-13 * x0^4) + [0,0,0,0,0,0,0,0,-0.0035371,0,0,0,0,0,0,0,0,0,0,0]#20 * ((2.66787 - 0.00391513 * x0 + 1.11808e-06 * x0^2) * (1.73205 * x2) * (1.73205 * x3)) + [0,0,0,0,0,0,0,0,-0.000802261,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (1.73205 * x2) * (-1.11803 + 3.3541 * x3^2)) + [-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,-0.00227237,0,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445,-0.00242445]#20 * ((-21.59 + 2.48511 * x1 - 0.0881978 * x1^2 + 0.000978555 * x1^3) * (1.73205 * x3)) + [0,0,0,0,0,0,0,0,-0.00126332,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-4.00121 + 0.133369 * x1) * (-3.96863 * x2 + 6.61438 * x2^3)) + [0,0,0,0,0,0,0,0,-0.000217839,0,0,0,0,0,0,0,0,0,0,0]#20 * (1.125 - 11.25 * x2^2 + 13.125 * x2^4) + [0,0,0,0,0,0,0,0,-0.00131871,0,0,0,0,0,0,0,0,0,0,0]#20 * (1.125 - 11.25 * x3^2 + 13.125 * x3^4) + [0,0,0,0,0,0,0,0,-0.00165501,0,0,0,0,0,0,0,0,0,0,0]#20 * ((2.66787 - 0.00391513 * x0 + 1.11808e-06 * x0^2) * (-4.00121 + 0.133369 * x1) * (-1.11803 + 3.3541 * x2^2)) + [0,0,0,0,0,0,0,0,0.00241226,0,0,0,0,0,0,0,0,0,0,0]#20 * ((2.66787 - 0.00391513 * x0 + 1.11808e-06 * x0^2) * (1.73205 * x2) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,0.00239649,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (10.6377 - 0.756185 * x1 + 0.0125995 * x1^2) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,-0.00104576,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-4.00121 + 0.133369 * x1) * (-3.96863 * x2 + 6.61438 * x2^3)) + [0,0,0,0,0,0,0,0,0.000476318,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-4.00121 + 0.133369 * x1) * (1.73205 * x2) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,-0.000750135,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (1.125 - 11.25 * x3^2 + 13.125 * x3^4)) + [0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0.00098758,0,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445,0.000915445]#20 * ((35.6274 - 5.99016 * x1 + 0.342712 * x1^2 - 0.00807257 * x1^3 + 6.69375e-05 * x1^4) * (1.73205 * x3)) + [0,0,0,0,0,0,0,0,-0.00151753,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-21.59 + 2.48511 * x1 - 0.0881978 * x1^2 + 0.000978555 * x1^3) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,-0.000192616,0,0,0,0,0,0,0,0,0,0,0]#20 * ((10.6377 - 0.756185 * x1 + 0.0125995 * x1^2) * (-3.96863 * x3 + 6.61438 * x3^3)) + [0,0,0,0,0,0,0,0,2.90669e-05,0,0,0,0,0,0,0,0,0,0,0]#20 * (6.21867 * x2 - 29.0205 * x2^3 + 26.1184 * x2^5) + [0,0,0,0,0,0,0,0,-0.000986842,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-3.35707 + 0.00734507 * x0 - 4.12446e-06 * x0^2 + 6.20008e-10 * x0^3) * (-3.96863 * x3 + 6.61438 * x3^3)) + [0,0,0,0,0,0,0,0,0.000332604,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-21.59 + 2.48511 * x1 - 0.0881978 * x1^2 + 0.000978555 * x1^3) * (-1.11803 + 3.3541 * x2^2)) + [-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,-0.000271509,0,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-21.59 + 2.48511 * x1 - 0.0881978 * x1^2 + 0.000978555 * x1^3) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,0.00135063,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (6.21867 * x3 - 29.0205 * x3^3 + 26.1184 * x3^5)) + [0,0,0,0,0,0,0,0,-0.00236117,0,0,0,0,0,0,0,0,0,0,0]#20 * (63.4174 - 20.0089 * x1 + 2.24735 * x1^2 - 0.120561 * x1^3 + 0.00334188 * x1^4 - 4.61067e-05 * x1^5 + 2.50028e-07 * x1^6) + [0,0,0,0,0,0,0,0,0.00221572,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-50.2377 + 11.7408 * x1 - 0.969964 * x1^2 + 0.0365412 * x1^3 - 0.00063952 * x1^4 + 4.2109e-06 * x1^5) * (1.73205 * x2)) + [-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,-0.00325289,0,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084,-0.00341084]#20 * ((-50.2377 + 11.7408 * x1 - 0.969964 * x1^2 + 0.0365412 * x1^3 - 0.00063952 * x1^4 + 4.2109e-06 * x1^5) * (1.73205 * x3)) + [0,0,0,0,0,0,0,0,-0.00363071,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-21.59 + 2.48511 * x1 - 0.0881978 * x1^2 + 0.000978555 * x1^3) * (-3.96863 * x2 + 6.61438 * x2^3)) + [0,0,0,0,0,0,0,0,0.000265954,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-3.35707 + 0.00734507 * x0 - 4.12446e-06 * x0^2 + 6.20008e-10 * x0^3) * (-4.00121 + 0.133369 * x1) * (1.73205 * x2) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,-0.00103441,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-3.35707 + 0.00734507 * x0 - 4.12446e-06 * x0^2 + 6.20008e-10 * x0^3) * (1.125 - 11.25 * x2^2 + 13.125 * x2^4)) + [0,0,0,0,0,0,0,0,0.00315489,0,0,0,0,0,0,0,0,0,0,0]#20 * ((2.66787 - 0.00391513 * x0 + 1.11808e-06 * x0^2) * (-4.00121 + 0.133369 * x1) * (-1.11803 + 3.3541 * x2^2) * (-1.11803 + 3.3541 * x3^2)) + [0,0,0,0,0,0,0,0,-0.00231383,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-50.2377 + 11.7408 * x1 - 0.969964 * x1^2 + 0.0365412 * x1^3 - 0.00063952 * x1^4 + 4.2109e-06 * x1^5) * (1.73205 * x2)) + [0,0,0,0,0,0,0,0,-0.000275197,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-4.00121 + 0.133369 * x1) * (1.125 - 11.25 * x2^2 + 13.125 * x2^4) * (1.73205 * x3)) + [0,0,0,0,0,0,0,0,-0.000330104,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-4.00121 + 0.133369 * x1) * (6.21867 * x3 - 29.0205 * x3^3 + 26.1184 * x3^5)) + [0,0,0,0,0,0,0,0,0.000542696,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-1.12673 + 23.6614 * x2^2 - 70.9843 * x2^4 + 52.0551 * x2^6)) + [0,0,0,0,0,0,0,0,0.000739843,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (1.73205 * x2) * (6.21867 * x3 - 29.0205 * x3^3 + 26.1184 * x3^5)) + [0,0,0,0,0,0,0,0,-0.000367056,0,0,0,0,0,0,0,0,0,0,0]#20 * ((-1.87569 + 0.00140172 * x0) * (-1.12673 + 23.6614 * x3^2 - 70.9843 * x3^4 + 52.0551 * x3^6)) + [0,0,0,0,0,0,0,0,0.00225843,0,0,0,0,0,0,0,0,0,0,0]#20 * ((1.73205 * x2) * (-1.12673 + 23.6614 * x3^2 - 70.9843 * x3^4 + 52.0551 * x3^6)))o(| y0 = [x0]->[x0]<br>
| y1 = [x1]->[x1]<br>
| y2 = [x2]->[-50+x2]<br>
| y3 = [x3]->[-55+x3]<br>
)</p>
|
