(dp0
(VManual
p1
VLanguage Tutorials
p2
VBasic calculations
p3
I0
tp4
(dp5
Vquery
p6
V1 + 2
p7
sVresults
p8
(lp9
(dp10
Vout
p11
(lp12
sVresult
p13
V3
p14
sVline
p15
I1
sass(g1
g2
g3
I1
tp16
(dp17
g6
V1 - 2 * (3 + 5) / 4
p18
sg8
(lp19
(dp20
g11
(lp21
sg13
V-3
p22
sg15
I2
sass(g1
g2
g3
I2
tp23
(dp24
g6
V1 - 2 (3 + 5) / 4
p25
sg8
(lp26
(dp27
g11
(lp28
sg13
V-3
p29
sg15
I3
sass(g1
g2
g3
I3
tp30
(dp31
g6
V2 4
p32
sg8
(lp33
(dp34
g11
(lp35
sg13
V8
p36
sg15
I4
sass(g1
g2
g3
I4
tp37
(dp38
g6
V3 ^ 4
p39
sg8
(lp40
(dp41
g11
(lp42
sg13
V81
p43
sg15
I5
sass(g1
g2
g3
I5
tp44
(dp45
g6
V6 / 4
p46
sg8
(lp47
(dp48
g11
(lp49
sg13
V\u005cfrac{3}{2}
p50
sg15
I6
sass(g1
g2
g3
I6
tp51
(dp52
g6
VN[6 / 4]
p53
sg8
(lp54
(dp55
g11
(lp56
sg13
V1.5
p57
sg15
I7
sass(g1
g2
g3
I7
tp58
(dp59
g6
VLog[E]
p60
sg8
(lp61
(dp62
g11
(lp63
sg13
V1
p64
sg15
I8
sass(g1
g2
g3
I8
tp65
(dp66
g6
VSin[Pi]
p67
sg8
(lp68
(dp69
g11
(lp70
sg13
V0
p71
sg15
I9
sass(g1
g2
g3
I9
tp72
(dp73
g6
VCos[0.5]
p74
sg8
(lp75
(dp76
g11
(lp77
sg13
V0.877583
p78
sg15
I10
sass(g1
g2
g3
I10
tp79
(dp80
g6
VSqrt[-4]
p81
sg8
(lp82
(dp83
g11
(lp84
sg13
V2 I
p85
sg15
I11
sass(g1
g2
g3
I11
tp86
(dp87
g6
VI ^ 2
p88
sg8
(lp89
(dp90
g11
(lp91
sg13
V-1
p92
sg15
I12
sass(g1
g2
g3
I12
tp93
(dp94
g6
V(3 + 2 I) ^ 4
p95
sg8
(lp96
(dp97
g11
(lp98
sg13
V-119+120 I
p99
sg15
I13
sass(g1
g2
g3
I13
tp100
(dp101
g6
V(3 + 2 I) ^ (2.5 - I)
p102
sg8
(lp103
(dp104
g11
(lp105
sg13
V43.663+8.28556 I
p106
sg15
I14
sass(g1
g2
g3
I14
tp107
(dp108
g6
VTan[I + 0.5]
p109
sg8
(lp110
(dp111
g11
(lp112
sg13
V0.195577+0.842966 I
p113
sg15
I15
sass(g1
g2
g3
I15
tp114
(dp115
g6
VAbs[-3]
p116
sg8
(lp117
(dp118
g11
(lp119
sg13
V3
p120
sg15
I16
sass(g1
g2
g3
I16
tp121
(dp122
g6
VAbs[3 + 4 I]
p123
sg8
(lp124
(dp125
g11
(lp126
sg13
V5
p127
sg15
I17
sass(g1
g2
g3
I17
tp128
(dp129
g6
V100!
p130
sg8
(lp131
(dp132
g11
(lp133
sg13
V93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
p134
sg15
I18
sass(g1
g2
g3
I18
tp135
(dp136
g6
VN[Pi, 100]
p137
sg8
(lp138
(dp139
g11
(lp140
sg13
V3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068
p141
sg15
I19
sass(g1
g2
g3
I19
tp142
(dp143
g6
V1 / 0
p144
sg8
(lp145
(dp146
g11
(lp147
(dp148
Vmessage
p149
I01
sVsymbol
p150
VPower
p151
sVtag
p152
Vinfy
p153
sVprefix
p154
VPower::infy
p155
sVtext
p156
VInfinite expression 1 / 0 encountered.
p157
sasg13
V\u005ctext{ComplexInfinity}
p158
sg15
I20
sass(g1
g2
g3
I20
tp159
(dp160
g6
VInfinity + 2 Infinity
p161
sg8
(lp162
(dp163
g11
(lp164
sg13
V\u005cinfty 
p165
sg15
I21
sass(g1
g2
g3
I21
tp166
(dp167
g6
V0 ^ 0
p168
sg8
(lp169
(dp170
g11
(lp171
(dp172
g149
I01
sg150
VPower
p173
sg152
Vindet
p174
sg154
VPower::indet
p175
sg156
VIndeterminate expression 0 ^ 0 encountered.
p176
sasg13
V\u005ctext{Indeterminate}
p177
sg15
I22
sass(g1
g2
g3
I22
tp178
(dp179
g6
V3 + 4
p180
sg8
(lp181
(dp182
g11
(lp183
sg13
V7
p184
sg15
I23
sass(g1
g2
g3
I23
tp185
(dp186
g6
V% ^ 2
p187
sg8
(lp188
(dp189
g11
(lp190
sg13
V49
p191
sg15
I24
sass(g1
g2
VSymbols and Assignments
p192
I0
tp193
(dp194
g6
Vx
p195
sg8
(lp196
(dp197
g11
(lp198
sg13
g195
sg15
I1
sass(g1
g2
g192
I1
tp199
(dp200
g6
Vx + 2 x
p201
sg8
(lp202
(dp203
g11
(lp204
sg13
V3 x
p205
sg15
I2
sass(g1
g2
g192
I2
tp206
(dp207
g6
ViAm1Symbol ^ 2
p208
sg8
(lp209
(dp210
g11
(lp211
sg13
V\u005ctext{iAm1Symbol}^2
p212
sg15
I3
sass(g1
g2
g192
I3
tp213
(dp214
g6
Va = 2
p215
sg8
(lp216
(dp217
g11
(lp218
sg13
V2
p219
sg15
I4
sass(g1
g2
g192
I4
tp220
(dp221
g6
Va ^ 3
p222
sg8
(lp223
(dp224
g11
(lp225
sg13
V8
p226
sg15
I5
sass(g1
g2
g192
I5
tp227
(dp228
g6
Va = 4
p229
sg8
(lp230
(dp231
g11
(lp232
sg13
V4
p233
sg15
I6
sass(g1
g2
g192
I6
tp234
(dp235
g6
Va ^ 3
p236
sg8
(lp237
(dp238
g11
(lp239
sg13
V64
p240
sg15
I7
sass(g1
g2
g192
I7
tp241
(dp242
g6
Va = 4;
p243
sg8
(lp244
(dp245
g11
(lp246
sg13
Nsg15
I8
sass(g1
g2
g192
I8
tp247
(dp248
g6
Vb = a;
p249
sg8
(lp250
(dp251
g11
(lp252
sg13
Nsg15
I9
sass(g1
g2
g192
I9
tp253
(dp254
g6
Va = 3;
p255
sg8
(lp256
(dp257
g11
(lp258
sg13
Nsg15
I10
sass(g1
g2
g192
I10
tp259
(dp260
g6
Vb
p261
sg8
(lp262
(dp263
g11
(lp264
sg13
V4
p265
sg15
I11
sass(g1
g2
g192
I11
tp266
(dp267
g6
Vb := a ^ 2
p268
sg8
(lp269
(dp270
g11
(lp271
sg13
Nsg15
I12
sass(g1
g2
g192
I12
tp272
(dp273
g6
g261
sg8
(lp274
(dp275
g11
(lp276
sg13
V9
p277
sg15
I13
sass(g1
g2
g192
I13
tp278
(dp279
g6
Va = 5;
p280
sg8
(lp281
(dp282
g11
(lp283
sg13
Nsg15
I14
sass(g1
g2
g192
I14
tp284
(dp285
g6
g261
sg8
(lp286
(dp287
g11
(lp288
sg13
V25
p289
sg15
I15
sass(g1
g2
VComparisons and Boolean Logic
p290
I0
tp291
(dp292
g6
V3 == 3
p293
sg8
(lp294
(dp295
g11
(lp296
sg13
V\u005ctext{True}
p297
sg15
I1
sass(g1
g2
g290
I1
tp298
(dp299
g6
V3 == 4
p300
sg8
(lp301
(dp302
g11
(lp303
sg13
V\u005ctext{False}
p304
sg15
I2
sass(g1
g2
g290
I2
tp305
(dp306
g6
V3 > 4
p307
sg8
(lp308
(dp309
g11
(lp310
sg13
V\u005ctext{False}
p311
sg15
I3
sass(g1
g2
g290
I3
tp312
(dp313
g6
V3 < 4 >= 2 != 1
p314
sg8
(lp315
(dp316
g11
(lp317
sg13
V\u005ctext{True}
p318
sg15
I4
sass(g1
g2
g290
I4
tp319
(dp320
g6
V!True
p321
sg8
(lp322
(dp323
g11
(lp324
sg13
V\u005ctext{False}
p325
sg15
I5
sass(g1
g2
g290
I5
tp326
(dp327
g6
V!False
p328
sg8
(lp329
(dp330
g11
(lp331
sg13
V\u005ctext{True}
p332
sg15
I6
sass(g1
g2
g290
I6
tp333
(dp334
g6
V3 < 4 && 6 > 5
p335
sg8
(lp336
(dp337
g11
(lp338
sg13
V\u005ctext{True}
p339
sg15
I7
sass(g1
g2
g290
I7
tp340
(dp341
g6
VTrue && True || False && False
p342
sg8
(lp343
(dp344
g11
(lp345
sg13
V\u005ctext{True}
p346
sg15
I8
sass(g1
g2
g290
I8
tp347
(dp348
g6
VTrue && (True || False) && False
p349
sg8
(lp350
(dp351
g11
(lp352
sg13
V\u005ctext{False}
p353
sg15
I9
sass(g1
g2
VStrings
p354
I0
tp355
(dp356
g6
V"Hello world!"
p357
sg8
(lp358
(dp359
g11
(lp360
sg13
V\u005ctext{Hello world!}
p361
sg15
I1
sass(g1
g2
g354
I1
tp362
(dp363
g6
VInputForm["Hello world!"]
p364
sg8
(lp365
(dp366
g11
(lp367
sg13
V\u005ctext{"Hello world!"}
p368
sg15
I2
sass(g1
g2
g354
I2
tp369
(dp370
g6
V"Hello" <> " " <> "world!"
p371
sg8
(lp372
(dp373
g11
(lp374
sg13
V\u005ctext{Hello world!}
p375
sg15
I3
sass(g1
g2
g354
I3
tp376
(dp377
g6
V"Debian" <> 6
p378
sg8
(lp379
(dp380
g11
(lp381
(dp382
g149
I01
sg150
VStringJoin
p383
sg152
Vstring
p384
sg154
VStringJoin::string
p385
sg156
VString expected.
p386
sasg13
V\u005ctext{Debian}\u005ctext{<>}6
p387
sg15
I4
sass(g1
g2
g354
I4
tp388
(dp389
g6
V"Debian" <> ToString[6]
p390
sg8
(lp391
(dp392
g11
(lp393
sg13
V\u005ctext{Debian6}
p394
sg15
I5
sass(g1
g2
VLists
p395
I0
tp396
(dp397
g6
Vmylist = {a, b, c, d}
p398
sg8
(lp399
(dp400
g11
(lp401
sg13
V\u005cleft\u005c{a,b,c,d\u005cright\u005c}
p402
sg15
I1
sass(g1
g2
g395
I1
tp403
(dp404
g6
VRange[5]
p405
sg8
(lp406
(dp407
g11
(lp408
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p409
sg15
I2
sass(g1
g2
g395
I2
tp410
(dp411
g6
VArray[f, 4]
p412
sg8
(lp413
(dp414
g11
(lp415
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright],f\u005cleft[4\u005cright]\u005cright\u005c}
p416
sg15
I3
sass(g1
g2
g395
I3
tp417
(dp418
g6
VConstantArray[x, 4]
p419
sg8
(lp420
(dp421
g11
(lp422
sg13
V\u005cleft\u005c{x,x,x,x\u005cright\u005c}
p423
sg15
I4
sass(g1
g2
g395
I4
tp424
(dp425
g6
VTable[n ^ 2, {n, 2, 5}]
p426
sg8
(lp427
(dp428
g11
(lp429
sg13
V\u005cleft\u005c{4,9,16,25\u005cright\u005c}
p430
sg15
I5
sass(g1
g2
g395
I5
tp431
(dp432
g6
VLength[mylist]
p433
sg8
(lp434
(dp435
g11
(lp436
sg13
V4
p437
sg15
I6
sass(g1
g2
g395
I6
tp438
(dp439
g6
Vmylist[[3]]
p440
sg8
(lp441
(dp442
g11
(lp443
sg13
Vc
p444
sg15
I7
sass(g1
g2
g395
I7
tp445
(dp446
g6
Vmylist[[-3]]
p447
sg8
(lp448
(dp449
g11
(lp450
sg13
g261
sg15
I8
sass(g1
g2
g395
I8
tp451
(dp452
g6
Vmymatrix = {{1, 2}, {3, 4}, {5, 6}};
p453
sg8
(lp454
(dp455
g11
(lp456
sg13
Nsg15
I9
sass(g1
g2
g395
I9
tp457
(dp458
g6
VTableForm[mymatrix]
p459
sg8
(lp460
(dp461
g11
(lp462
sg13
V\u005cbegin{array}{cc} 1 & 2\u005c\u005c 3 & 4\u005c\u005c 5 & 6\u005cend{array}
p463
sg15
I10
sass(g1
g2
g395
I10
tp464
(dp465
g6
VMatrixForm[mymatrix]
p466
sg8
(lp467
(dp468
g11
(lp469
sg13
V\u005cleft(\u005cbegin{array}{cc} 1 & 2\u005c\u005c 3 & 4\u005c\u005c 5 & 6\u005cend{array}\u005cright)
p470
sg15
I11
sass(g1
g2
g395
I11
tp471
(dp472
g6
Vmymatrix[[2, 1]]
p473
sg8
(lp474
(dp475
g11
(lp476
sg13
V3
p477
sg15
I12
sass(g1
g2
g395
I12
tp478
(dp479
g6
Vmymatrix[[;;, 2]]
p480
sg8
(lp481
(dp482
g11
(lp483
sg13
V\u005cleft\u005c{2,4,6\u005cright\u005c}
p484
sg15
I13
sass(g1
g2
g395
I13
tp485
(dp486
g6
VTake[mylist, 3]
p487
sg8
(lp488
(dp489
g11
(lp490
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p491
sg15
I14
sass(g1
g2
g395
I14
tp492
(dp493
g6
VTake[mylist, -2]
p494
sg8
(lp495
(dp496
g11
(lp497
sg13
V\u005cleft\u005c{c,d\u005cright\u005c}
p498
sg15
I15
sass(g1
g2
g395
I15
tp499
(dp500
g6
VDrop[mylist, 2]
p501
sg8
(lp502
(dp503
g11
(lp504
sg13
V\u005cleft\u005c{c,d\u005cright\u005c}
p505
sg15
I16
sass(g1
g2
g395
I16
tp506
(dp507
g6
VFirst[mymatrix]
p508
sg8
(lp509
(dp510
g11
(lp511
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p512
sg15
I17
sass(g1
g2
g395
I17
tp513
(dp514
g6
VLast[mylist]
p515
sg8
(lp516
(dp517
g11
(lp518
sg13
Vd
p519
sg15
I18
sass(g1
g2
g395
I18
tp520
(dp521
g6
VMost[mylist]
p522
sg8
(lp523
(dp524
g11
(lp525
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p526
sg15
I19
sass(g1
g2
g395
I19
tp527
(dp528
g6
VRest[mylist]
p529
sg8
(lp530
(dp531
g11
(lp532
sg13
V\u005cleft\u005c{b,c,d\u005cright\u005c}
p533
sg15
I20
sass(g1
g2
g395
I20
tp534
(dp535
g6
V{a, b} = {1, 2};
p536
sg8
(lp537
(dp538
g11
(lp539
sg13
Nsg15
I21
sass(g1
g2
g395
I21
tp540
(dp541
g6
Va
p542
sg8
(lp543
(dp544
g11
(lp545
sg13
V1
p546
sg15
I22
sass(g1
g2
g395
I22
tp547
(dp548
g6
g261
sg8
(lp549
(dp550
g11
(lp551
sg13
V2
p552
sg15
I23
sass(g1
g2
g395
I23
tp553
(dp554
g6
V{1, 2, 3} + {4, 5, 6}
p555
sg8
(lp556
(dp557
g11
(lp558
sg13
V\u005cleft\u005c{5,7,9\u005cright\u005c}
p559
sg15
I24
sass(g1
g2
g395
I24
tp560
(dp561
g6
V{1, 2, 3} * {4, 5, 6}
p562
sg8
(lp563
(dp564
g11
(lp565
sg13
V\u005cleft\u005c{4,10,18\u005cright\u005c}
p566
sg15
I25
sass(g1
g2
g395
I25
tp567
(dp568
g6
V{1, 2} + {4, 5, 6}
p569
sg8
(lp570
(dp571
g11
(lp572
(dp573
g149
I01
sg150
VThread
p574
sg152
Vtdlen
p575
sg154
VThread::tdlen
p576
sg156
VObjects of unequal length cannot be combined.
p577
sasg13
V\u005cleft\u005c{1,2\u005cright\u005c}+\u005cleft\u005c{4,5,6\u005cright\u005c}
p578
sg15
I26
sass(g1
g2
VThe Structure of Things
p579
I0
tp580
(dp581
g6
VFullForm[a + b + c]
p582
sg8
(lp583
(dp584
g11
(lp585
sg13
V\u005ctext{Plus}\u005cleft[a, b, c\u005cright]
p586
sg15
I1
sass(g1
g2
g579
I1
tp587
(dp588
g6
VFullForm[a + b * (c + d)]
p589
sg8
(lp590
(dp591
g11
(lp592
sg13
V\u005ctext{Plus}\u005cleft[a, \u005ctext{Times}\u005cleft[b, \u005ctext{Plus}\u005cleft[c, d\u005cright]\u005cright]\u005cright]
p593
sg15
I2
sass(g1
g2
g579
I2
tp594
(dp595
g6
VFullForm[{1, 2, 3}]
p596
sg8
(lp597
(dp598
g11
(lp599
sg13
V\u005ctext{List}\u005cleft[1, 2, 3\u005cright]
p600
sg15
I3
sass(g1
g2
g579
I3
tp601
(dp602
g6
VHead[a + b + c]
p603
sg8
(lp604
(dp605
g11
(lp606
sg13
V\u005ctext{Plus}
p607
sg15
I4
sass(g1
g2
g579
I4
tp608
(dp609
g6
V(a + b + c)[[2]]
p610
sg8
(lp611
(dp612
g11
(lp613
sg13
g261
sg15
I5
sass(g1
g2
g579
I5
tp614
(dp615
g6
V(a + b + c)[[0]]
p616
sg8
(lp617
(dp618
g11
(lp619
sg13
V\u005ctext{Plus}
p620
sg15
I6
sass(g1
g2
g579
I6
tp621
(dp622
g6
VApply[g, f[x, y]]
p623
sg8
(lp624
(dp625
g11
(lp626
sg13
Vg\u005cleft[x,y\u005cright]
p627
sg15
I7
sass(g1
g2
g579
I7
tp628
(dp629
g6
VApply[Plus, a * b * c]
p630
sg8
(lp631
(dp632
g11
(lp633
sg13
Va+b+c
p634
sg15
I8
sass(g1
g2
g579
I8
tp635
(dp636
g6
VTimes @@ {1, 2, 3, 4}
p637
sg8
(lp638
(dp639
g11
(lp640
sg13
V24
p641
sg15
I9
sass(g1
g2
g579
I9
tp642
(dp643
g6
VApply[f, {{1, 2}, {3, 4}}, {1}]
p644
sg8
(lp645
(dp646
g11
(lp647
sg13
V\u005cleft\u005c{f\u005cleft[1,2\u005cright],f\u005cleft[3,4\u005cright]\u005cright\u005c}
p648
sg15
I10
sass(g1
g2
g579
I10
tp649
(dp650
g6
VApply[f, {{1, 2}, {3, 4}}, {0, 2}]
p651
sg8
(lp652
(dp653
g11
(lp654
sg13
Vf\u005cleft[f\u005cleft[1,2\u005cright],f\u005cleft[3,4\u005cright]\u005cright]
p655
sg15
I11
sass(g1
g2
g579
I11
tp656
(dp657
g6
VMap[f, {1, 2, 3, 4}]
p658
sg8
(lp659
(dp660
g11
(lp661
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright],f\u005cleft[4\u005cright]\u005cright\u005c}
p662
sg15
I12
sass(g1
g2
g579
I12
tp663
(dp664
g6
Vf /@ {{1, 2}, {3, 4}}
p665
sg8
(lp666
(dp667
g11
(lp668
sg13
V\u005cleft\u005c{f\u005cleft[\u005cleft\u005c{1,2\u005cright\u005c}\u005cright],f\u005cleft[\u005cleft\u005c{3,4\u005cright\u005c}\u005cright]\u005cright\u005c}
p669
sg15
I13
sass(g1
g2
g579
I13
tp670
(dp671
g6
VAtomQ[5]
p672
sg8
(lp673
(dp674
g11
(lp675
sg13
V\u005ctext{True}
p676
sg15
I14
sass(g1
g2
g579
I14
tp677
(dp678
g6
VAtomQ[a + b]
p679
sg8
(lp680
(dp681
g11
(lp682
sg13
V\u005ctext{False}
p683
sg15
I15
sass(g1
g2
g579
I15
tp684
(dp685
g6
VFullForm[3 / 5]
p686
sg8
(lp687
(dp688
g11
(lp689
sg13
V\u005ctext{Rational}\u005cleft[3, 5\u005cright]
p690
sg15
I16
sass(g1
g2
g579
I16
tp691
(dp692
g6
VFullForm[3 + 4 I]
p693
sg8
(lp694
(dp695
g11
(lp696
sg13
V\u005ctext{Complex}\u005cleft[3, 4\u005cright]
p697
sg15
I17
sass(g1
g2
g579
I17
tp698
(dp699
g6
Vf @@ Complex[3, 4]
p700
sg8
(lp701
(dp702
g11
(lp703
sg13
V3+4 I
p704
sg15
I18
sass(g1
g2
g579
I18
tp705
(dp706
g6
VHead /@ {1, 1/2, 2.0, I, "a string", x}
p707
sg8
(lp708
(dp709
g11
(lp710
sg13
V\u005cleft\u005c{\u005ctext{Integer},\u005ctext{Rational},\u005ctext{Real},\u005ctext{Complex},\u005ctext{String},\u005ctext{Symbol}\u005cright\u005c}
p711
sg15
I19
sass(g1
g2
g579
I19
tp712
(dp713
g6
V3 === 3
p714
sg8
(lp715
(dp716
g11
(lp717
sg13
V\u005ctext{True}
p718
sg15
I20
sass(g1
g2
g579
I20
tp719
(dp720
g6
V3 == 3.0
p721
sg8
(lp722
(dp723
g11
(lp724
sg13
V\u005ctext{True}
p725
sg15
I21
sass(g1
g2
g579
I21
tp726
(dp727
g6
V3 === 3.0
p728
sg8
(lp729
(dp730
g11
(lp731
sg13
V\u005ctext{False}
p732
sg15
I22
sass(g1
g2
VFunctions and Patterns
p733
I0
tp734
(dp735
g6
Vf[x_] := x ^ 2
p736
sg8
(lp737
(dp738
g11
(lp739
sg13
Nsg15
I1
sass(g1
g2
g733
I1
tp740
(dp741
g6
Vf[3]
p742
sg8
(lp743
(dp744
g11
(lp745
sg13
V9
p746
sg15
I2
sass(g1
g2
g733
I2
tp747
(dp748
g6
Vf[a]
p749
sg8
(lp750
(dp751
g11
(lp752
sg13
Va^2
p753
sg15
I3
sass(g1
g2
g733
I3
tp754
(dp755
g6
Vf[1, 2]
p756
sg8
(lp757
(dp758
g11
(lp759
sg13
Vf\u005cleft[1,2\u005cright]
p760
sg15
I4
sass(g1
g2
g733
I4
tp761
(dp762
g6
Vg[s___] := Plus[s] ^ 2
p763
sg8
(lp764
(dp765
g11
(lp766
sg13
Nsg15
I5
sass(g1
g2
g733
I5
tp767
(dp768
g6
Vg[1, 2, 3]
p769
sg8
(lp770
(dp771
g11
(lp772
sg13
V36
p773
sg15
I6
sass(g1
g2
g733
I6
tp774
(dp775
g6
VMatchQ[a + b, x_ + y_]
p776
sg8
(lp777
(dp778
g11
(lp779
sg13
V\u005ctext{True}
p780
sg15
I7
sass(g1
g2
g733
I7
tp781
(dp782
g6
VMatchQ[6, _Integer]
p783
sg8
(lp784
(dp785
g11
(lp786
sg13
V\u005ctext{True}
p787
sg15
I8
sass(g1
g2
g733
I8
tp788
(dp789
g6
V{2, "a", 3, 2.5, "b", c} /. x_Integer -> x ^ 2
p790
sg8
(lp791
(dp792
g11
(lp793
sg13
V\u005cleft\u005c{4,\u005ctext{a},9,2.5,\u005ctext{b},c\u005cright\u005c}
p794
sg15
I9
sass(g1
g2
g733
I9
tp795
(dp796
g6
V{2, "a", 3, 2.5, "b", c} /. {x_Integer -> x ^ 2.0, y_String -> 10}
p797
sg8
(lp798
(dp799
g11
(lp800
sg13
V\u005cleft\u005c{4.,10,9.,2.5,10,c\u005cright\u005c}
p801
sg15
I10
sass(g1
g2
g733
I10
tp802
(dp803
g6
V{2, "a", 3, 2.5, "b", c} //. {x_Integer -> x ^ 2.0, y_String -> 10}
p804
sg8
(lp805
(dp806
g11
(lp807
sg13
V\u005cleft\u005c{4.,100.,9.,2.5,100.,c\u005cright\u005c}
p808
sg15
I11
sass(g1
g2
g733
I11
tp809
(dp810
g6
Va :> 1 + 2
p811
sg8
(lp812
(dp813
g11
(lp814
sg13
Va\u005ctext{:>}1+2
p815
sg15
I12
sass(g1
g2
g733
I12
tp816
(dp817
g6
Va -> 1 + 2
p818
sg8
(lp819
(dp820
g11
(lp821
sg13
Va->3
p822
sg15
I13
sass(g1
g2
g733
I13
tp823
(dp824
g6
V{1, 2} /. x_Integer -> N[x]
p825
sg8
(lp826
(dp827
g11
(lp828
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p829
sg15
I14
sass(g1
g2
g733
I14
tp830
(dp831
g6
V{1, 2} /. x_Integer :> N[x]
p832
sg8
(lp833
(dp834
g11
(lp835
sg13
V\u005cleft\u005c{1.,2.\u005cright\u005c}
p836
sg15
I15
sass(g1
g2
g733
I15
tp837
(dp838
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}]
p839
sg8
(lp840
(dp841
g11
(lp842
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,b,c\u005cright\u005c},\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p843
sg15
I16
sass(g1
g2
g733
I16
tp844
(dp845
g6
VReplaceAll[{a, b, c}, {___, x__, ___} -> {x}]
p846
sg8
(lp847
(dp848
g11
(lp849
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p850
sg15
I17
sass(g1
g2
g733
I17
tp851
(dp852
g6
Vh = # ^ 2 &;
p853
sg8
(lp854
(dp855
g11
(lp856
sg13
Nsg15
I18
sass(g1
g2
g733
I18
tp857
(dp858
g6
Vh[3]
p859
sg8
(lp860
(dp861
g11
(lp862
sg13
V9
p863
sg15
I19
sass(g1
g2
g733
I19
tp864
(dp865
g6
Vsum = #1 + #2 &;
p866
sg8
(lp867
(dp868
g11
(lp869
sg13
Nsg15
I20
sass(g1
g2
g733
I20
tp870
(dp871
g6
Vsum[4, 6]
p872
sg8
(lp873
(dp874
g11
(lp875
sg13
V10
p876
sg15
I21
sass(g1
g2
g733
I21
tp877
(dp878
g6
Vprod = Function[{x, y}, x * y];
p879
sg8
(lp880
(dp881
g11
(lp882
sg13
Nsg15
I22
sass(g1
g2
g733
I22
tp883
(dp884
g6
Vprod[4, 6]
p885
sg8
(lp886
(dp887
g11
(lp888
sg13
V24
p889
sg15
I23
sass(g1
g2
g733
I23
tp890
(dp891
g6
V# ^ 2 & /@ Range[5]
p892
sg8
(lp893
(dp894
g11
(lp895
sg13
V\u005cleft\u005c{1,4,9,16,25\u005cright\u005c}
p896
sg15
I24
sass(g1
g2
g733
I24
tp897
(dp898
g6
VSort[{{x, 10}, {y, 2}, {z, 5}}, #1[[2]] < #2[[2]] &]
p899
sg8
(lp900
(dp901
g11
(lp902
sg13
V\u005cleft\u005c{\u005cleft\u005c{y,2\u005cright\u005c},\u005cleft\u005c{z,5\u005cright\u005c},\u005cleft\u005c{x,10\u005cright\u005c}\u005cright\u005c}
p903
sg15
I25
sass(g1
g2
g733
I25
tp904
(dp905
g6
Vh @ 3
p906
sg8
(lp907
(dp908
g11
(lp909
sg13
V9
p910
sg15
I26
sass(g1
g2
g733
I26
tp911
(dp912
g6
V3 // h
p913
sg8
(lp914
(dp915
g11
(lp916
sg13
V9
p917
sg15
I27
sass(g1
g2
VControl Statements
p918
I0
tp919
(dp920
g6
VIf[2 < 3, a, b]
p921
sg8
(lp922
(dp923
g11
(lp924
sg13
g542
sg15
I1
sass(g1
g2
g918
I1
tp925
(dp926
g6
Vx = 3; Which[x < 2, a, x > 4, b, x < 5, c]
p927
sg8
(lp928
(dp929
g11
(lp930
sg13
g444
sg15
I2
sass(g1
g2
g918
I2
tp931
(dp932
g6
V1; 2; 3
p933
sg8
(lp934
(dp935
g11
(lp936
sg13
V3
p937
sg15
I3
sass(g1
g2
g918
I3
tp938
(dp939
g6
V1; 2; 3;
p940
sg8
(lp941
(dp942
g11
(lp943
sg13
Nsg15
I4
sass(g1
g2
g918
I4
tp944
(dp945
g6
VFor[i = 1, i <= 5, i++, If[i == 4, Break[]]; Print[i]]
p946
sg8
(lp947
(dp948
g11
(lp949
(dp950
g149
I00
sg156
V1
p951
sa(dp952
g149
I00
sg156
V2
p953
sa(dp954
g149
I00
sg156
V3
p955
sasg13
Nsg15
I5
sass(g1
g2
VScoping
p956
I0
tp957
(dp958
g6
Vt = 3;
p959
sg8
(lp960
(dp961
g11
(lp962
sg13
Nsg15
I1
sass(g1
g2
g956
I1
tp963
(dp964
g6
VModule[{t}, t = 2]
p965
sg8
(lp966
(dp967
g11
(lp968
sg13
V2
p969
sg15
I2
sass(g1
g2
g956
I2
tp970
(dp971
g6
VBlock[{t}, t = 2]
p972
sg8
(lp973
(dp974
g11
(lp975
sg13
V2
p976
sg15
I3
sass(g1
g2
g956
I3
tp977
(dp978
g6
Vt
p979
sg8
(lp980
(dp981
g11
(lp982
sg13
V3
p983
sg15
I4
sass(g1
g2
g956
I4
tp984
(dp985
g6
Vy = x ^ 3;
p986
sg8
(lp987
(dp988
g11
(lp989
sg13
Nsg15
I5
sass(g1
g2
g956
I5
tp990
(dp991
g6
VModule[{x = 2}, x * y]
p992
sg8
(lp993
(dp994
g11
(lp995
sg13
V2 x^3
p996
sg15
I6
sass(g1
g2
g956
I6
tp997
(dp998
g6
VBlock[{x = 2}, x * y]
p999
sg8
(lp1000
(dp1001
g11
(lp1002
sg13
V16
p1003
sg15
I7
sass(g1
g2
g956
I7
tp1004
(dp1005
g6
Vexpr = x ^ 2 + x;
p1006
sg8
(lp1007
(dp1008
g11
(lp1009
sg13
Nsg15
I8
sass(g1
g2
g956
I8
tp1010
(dp1011
g6
VBlock[{x = 3}, expr]
p1012
sg8
(lp1013
(dp1014
g11
(lp1015
sg13
V12
p1016
sg15
I9
sass(g1
g2
g956
I9
tp1017
(dp1018
g6
g195
sg8
(lp1019
(dp1020
g11
(lp1021
sg13
g195
sg15
I10
sass(g1
g2
g956
I10
tp1022
(dp1023
g6
VBlock[{$RecursionLimit = 30}, x = 2 x]
p1024
sg8
(lp1025
(dp1026
g11
(lp1027
(dp1028
g149
I01
sg150
V$RecursionLimit
p1029
sg152
Vreclim
p1030
sg154
V$RecursionLimit::reclim
p1031
sg156
VRecursion depth of 30 exceeded.
p1032
sasg13
V\u005ctext{\u005c$Aborted}
p1033
sg15
I11
sass(g1
g2
g956
I11
tp1034
(dp1035
g6
Vf[x_] := f[x + 1]; Block[{$IterationLimit = 30}, f[1]]
p1036
sg8
(lp1037
(dp1038
g11
(lp1039
(dp1040
g149
I01
sg150
V$IterationLimit
p1041
sg152
Vitlim
p1042
sg154
V$IterationLimit::itlim
p1043
sg156
VIteration limit of 30 exceeded.
p1044
sasg13
V\u005ctext{\u005c$Aborted}
p1045
sg15
I12
sass(g1
g2
g956
I12
tp1046
(dp1047
g6
Vfac[n_] := Module[{k, p}, p = 1; For[k = 1, k <= n, ++k, p *= k]; p]
p1048
sg8
(lp1049
(dp1050
g11
(lp1051
sg13
Nsg15
I13
sass(g1
g2
g956
I13
tp1052
(dp1053
g6
Vfac[10]
p1054
sg8
(lp1055
(dp1056
g11
(lp1057
sg13
V3628800
p1058
sg15
I14
sass(g1
g2
g956
I14
tp1059
(dp1060
g6
V10!
p1061
sg8
(lp1062
(dp1063
g11
(lp1064
sg13
V3628800
p1065
sg15
I15
sass(g1
g2
VFormatting Output
p1066
I0
tp1067
(dp1068
g6
VFormat[x] = "y";
p1069
sg8
(lp1070
(dp1071
g11
(lp1072
sg13
Nsg15
I1
sass(g1
g2
g1066
I1
tp1073
(dp1074
g6
g195
sg8
(lp1075
(dp1076
g11
(lp1077
sg13
V\u005ctext{y}
p1078
sg15
I2
sass(g1
g2
g1066
I2
tp1079
(dp1080
g6
Vx // InputForm
p1081
sg8
(lp1082
(dp1083
g11
(lp1084
sg13
g195
sg15
I3
sass(g1
g2
g1066
I3
tp1085
(dp1086
g6
VFormat[x, TeXForm] = "z";
p1087
sg8
(lp1088
(dp1089
g11
(lp1090
sg13
Nsg15
I4
sass(g1
g2
g1066
I4
tp1091
(dp1092
g6
Vx // TeXForm
p1093
sg8
(lp1094
(dp1095
g11
(lp1096
sg13
V\u005ctext{$\u005cbackslash$text\u005c{z\u005c}}
p1097
sg15
I5
sass(g1
g2
g1066
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tp1098
(dp1099
g6
VFormat[r[args___]] = "<an r object>";
p1100
sg8
(lp1101
(dp1102
g11
(lp1103
sg13
Nsg15
I6
sass(g1
g2
g1066
I6
tp1104
(dp1105
g6
Vr[1, 2, 3]
p1106
sg8
(lp1107
(dp1108
g11
(lp1109
sg13
V\u005ctext{<an r object>}
p1110
sg15
I7
sass(g1
g2
g1066
I7
tp1111
(dp1112
g6
VFormat[r[args___]] = Infix[{args}, "~"];
p1113
sg8
(lp1114
(dp1115
g11
(lp1116
sg13
Nsg15
I8
sass(g1
g2
g1066
I8
tp1117
(dp1118
g6
Vr[1, 2, 3]
p1119
sg8
(lp1120
(dp1121
g11
(lp1122
sg13
V1\u005csim{}2\u005csim{}3
p1123
sg15
I9
sass(g1
g2
g1066
I9
tp1124
(dp1125
g6
VStringForm["`1` and `2`", n, m]
p1126
sg8
(lp1127
(dp1128
g11
(lp1129
sg13
Vn\u005ctext{ and }m
p1130
sg15
I10
sass(g1
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g1066
I10
tp1131
(dp1132
g6
VGrid[{{a, b}, {c, d}}]
p1133
sg8
(lp1134
(dp1135
g11
(lp1136
sg13
V\u005cbegin{array}{cc} a & b\u005c\u005c c & d\u005cend{array}
p1137
sg15
I11
sass(g1
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g1066
I11
tp1138
(dp1139
g6
VSubscript[a, 1, 2] // TeXForm
p1140
sg8
(lp1141
(dp1142
g11
(lp1143
sg13
V\u005ctext{a\u005c_\u005c{1,2\u005c}}
p1144
sg15
I12
sass(g1
g2
g1066
I12
tp1145
(dp1146
g6
VMakeBoxes[b, StandardForm] = "c";
p1147
sg8
(lp1148
(dp1149
g11
(lp1150
sg13
Nsg15
I13
sass(g1
g2
g1066
I13
tp1151
(dp1152
g6
g261
sg8
(lp1153
(dp1154
g11
(lp1155
sg13
g444
sg15
I14
sass(g1
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g1066
I14
tp1156
(dp1157
g6
Vb // TeXForm
p1158
sg8
(lp1159
(dp1160
g11
(lp1161
sg13
g444
sg15
I15
sass(g1
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g1066
I15
tp1162
(dp1163
g6
Vb // OutputForm // TeXForm
p1164
sg8
(lp1165
(dp1166
g11
(lp1167
sg13
g261
sg15
I16
sass(g1
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I16
tp1168
(dp1169
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VMakeBoxes[b, TeXForm] = "d";
p1170
sg8
(lp1171
(dp1172
g11
(lp1173
sg13
Nsg15
I17
sass(g1
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g1066
I17
tp1174
(dp1175
g6
Vb // TeXForm
p1176
sg8
(lp1177
(dp1178
g11
(lp1179
sg13
g519
sg15
I18
sass(g1
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g1066
I18
tp1180
(dp1181
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VMakeBoxes[c, MathMLForm] = "<not closed";
p1182
sg8
(lp1183
(dp1184
g11
(lp1185
sg13
Nsg15
I19
sass(g1
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g1066
I19
tp1186
(dp1187
g6
Vc // MathMLForm
p1188
sg8
(lp1189
(dp1190
g11
(lp1191
sg13
V\u005ctext{<not closed}
p1192
sg15
I20
sass(g1
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I20
tp1193
(dp1194
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Vc + 1 // MathMLForm
p1195
sg8
(lp1196
(dp1197
g11
(lp1198
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mrow><mn>1</mn> <mo>+</mo> <mi>c</mi></mrow></mstyle></math>}
p1199
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sass(g1
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tp1200
(dp1201
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VFormat[d, MathMLForm] = "<not closed";
p1202
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(lp1203
(dp1204
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(lp1205
sg13
Nsg15
I22
sass(g1
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tp1206
(dp1207
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Vd // MathMLForm
p1208
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(lp1209
(dp1210
g11
(lp1211
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V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mtext>\u005c&lt;not\u005c&nbsp;closed</mtext></mstyle></math>}
p1212
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sass(g1
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I23
tp1213
(dp1214
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Vd + 1 // MathMLForm
p1215
sg8
(lp1216
(dp1217
g11
(lp1218
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V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mrow><mn>1</mn> <mo>+</mo> <mtext>\u005c&lt;not\u005c&nbsp;closed</mtext></mrow></mstyle></math>}
p1219
sg15
I24
sass(g1
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g1066
I24
tp1220
(dp1221
g6
VMakeBoxes[{items___}, StandardForm] := RowBox[{"[", Sequence @@ Riffle[MakeBoxes /@ {items}, " "], "]"}]
p1222
sg8
(lp1223
(dp1224
g11
(lp1225
sg13
Nsg15
I25
sass(g1
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I25
tp1226
(dp1227
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V{1, 2, 3}
p1228
sg8
(lp1229
(dp1230
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(lp1231
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V\u005cleft[1 2 3\u005cright]
p1232
sg15
I26
sass(g1
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I27
tp1233
(dp1234
g6
V[1 2 3]
p1235
sg8
(lp1236
ss(g1
g2
g1066
I28
tp1237
(dp1238
g6
VClear[MakeBoxes]
p1239
sg8
(lp1240
(dp1241
g11
(lp1242
sg13
Nsg15
I27
sass(g1
g2
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I29
tp1243
(dp1244
g6
VAttributes[MakeBoxes]
p1245
sg8
(lp1246
(dp1247
g11
(lp1248
sg13
V\u005cleft[\u005ctext{HoldAllComplete} \u005cright]
p1249
sg15
I28
sass(g1
g2
g1066
I30
tp1250
(dp1251
g6
VMakeBoxes[squared[args___], StandardForm] := squared[args] ^ 2
p1252
sg8
(lp1253
(dp1254
g11
(lp1255
sg13
Nsg15
I29
sass(g1
g2
g1066
I31
tp1256
(dp1257
g6
Vsquared[1, 2]
p1258
sg8
(lp1259
(dp1260
g11
(lp1261
(dp1262
g149
I01
sg150
VGeneral
p1263
sg152
Vnotboxes
p1264
sg154
VGeneral::notboxes
p1265
sg156
VPower[squared[1, 2], 2] is not a valid box structure.
p1266
sasg13
V
p1267
sg15
I30
sass(g1
g2
g1066
I32
tp1268
(dp1269
g6
Vsquared[1, 2] // TeXForm
p1270
sg8
(lp1271
(dp1272
g11
(lp1273
(dp1274
g149
I01
sg150
VGeneral
p1275
sg152
g1264
sg154
VGeneral::notboxes
p1276
sg156
VPower[squared[1, 2], 2] is not a valid box structure.
p1277
sasg13
g1267
sg15
I31
sass(g1
g2
g1066
I33
tp1278
(dp1279
g6
VMakeBoxes[squared[args___], StandardForm] := SuperscriptBox[RowBox[{MakeBoxes[squared], "[", RowBox[Riffle[MakeBoxes[#]& /@ {args}, ","]], "]"}], 2]
p1280
sg8
(lp1281
(dp1282
g11
(lp1283
sg13
Nsg15
I32
sass(g1
g2
g1066
I34
tp1284
(dp1285
g6
Vsquared[1, 2]
p1286
sg8
(lp1287
(dp1288
g11
(lp1289
sg13
V\u005ctext{squared}\u005cleft[1,2\u005cright]^2
p1290
sg15
I33
sass(g1
g2
g1066
I36
tp1291
(dp1292
g6
VToBoxes[m + n]
p1293
sg8
(lp1294
(dp1295
g11
(lp1296
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{m},\u005ctext{+},\u005ctext{n}\u005cright\u005c}\u005cright]
p1297
sg15
I34
sass(g1
g2
g1066
I37
tp1298
(dp1299
g6
VInputForm[%]
p1300
sg8
(lp1301
(dp1302
g11
(lp1303
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{"m"}, \u005ctext{"+"}, \u005ctext{"n"}\u005cright\u005c}\u005cright]
p1304
sg15
I35
sass(g1
g2
VGraphics Introduction Examples
p1305
I0
tp1306
(dp1307
g6
VGraphics[{Circle[{0, 0}, 1]}]
p1308
sg8
(lp1309
(dp1310
g11
(lp1311
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8556cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (350.33,349.67)));\u000a\u005cend{asy}\u000a
p1312
sg15
I1
sass(g1
g2
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I1
tp1313
(dp1314
g6
VGraphics[{Line[{{0, 0}, {0, 1}, {1, 1}, {1, -1}}], Rectangle[{0, 0}, {-1, -1}]}]
p1315
sg8
(lp1316
(dp1317
g11
(lp1318
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8223cm, 5.8333cm);\u000adraw((175,  175)--(175,  350)--(350,  350)--(350,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(0,175)--(0,0)--(175,0)--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((0,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p1319
sg15
I2
sass(g1
g2
g1305
I2
tp1320
(dp1321
g6
VGraphics[{Red, Disk[]}]
p1322
sg8
(lp1323
(dp1324
g11
(lp1325
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw(ellipse((175,175),175,175), rgb(1, 0, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p1326
sg15
I3
sass(g1
g2
g1305
I3
tp1327
(dp1328
g6
VGraphics[Table[{Hue[h, s], Disk[{12h, 8s}]}, {h, 0, 1, 1/6}, {s, 0, 1, 1/4}]]
p1329
sg8
(lp1330
(dp1331
g11
(lp1332
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.7619cm);\u000afilldraw(ellipse((28.571,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000afilldraw(ellipse((28.571,85.714),28.571,28.571), rgb(1, 0.75, 0.75), nullpen);\u000afilldraw(ellipse((28.571,142.86),28.571,28.571), rgb(1, 0.5, 0.5), nullpen);\u000afilldraw(ellipse((28.571,200),28.571,28.571), rgb(1, 0.25, 0.25), nullpen);\u000afilldraw(ellipse((28.571,257.14),28.571,28.571), rgb(1, 0, 0), nullpen);\u000afilldraw(ellipse((85.714,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000afilldraw(ellipse((85.714,85.714),28.571,28.571), rgb(1, 1, 0.75), nullpen);\u000afilldraw(ellipse((85.714,142.86),28.571,28.571), rgb(1, 1, 0.5), nullpen);\u000afilldraw(ellipse((85.714,200),28.571,28.571), rgb(1, 1, 0.25), nullpen);\u000afilldraw(ellipse((85.714,257.14),28.571,28.571), rgb(1, 1, 0), nullpen);\u000afilldraw(ellipse((142.86,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000afilldraw(ellipse((142.86,85.714),28.571,28.571), rgb(0.75, 1, 0.75), nullpen);\u000afilldraw(ellipse((142.86,142.86),28.571,28.571), rgb(0.5, 1, 0.5), nullpen);\u000afilldraw(ellipse((142.86,200),28.571,28.571), rgb(0.25, 1, 0.25), nullpen);\u000afilldraw(ellipse((142.86,257.14),28.571,28.571), rgb(0, 1, 0), nullpen);\u000afilldraw(ellipse((200,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000afilldraw(ellipse((200,85.714),28.571,28.571), rgb(0.75, 1, 1), nullpen);\u000afilldraw(ellipse((200,142.86),28.571,28.571), rgb(0.5, 1, 1), nullpen);\u000afilldraw(ellipse((200,200),28.571,28.571), rgb(0.25, 1, 1), nullpen);\u000afilldraw(ellipse((200,257.14),28.571,28.571), rgb(0, 1, 1), nullpen);\u000afilldraw(ellipse((257.14,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000afilldraw(ellipse((257.14,85.714),28.571,28.571), rgb(0.75, 0.75, 1), nullpen);\u000afilldraw(ellipse((257.14,142.86),28.571,28.571), rgb(0.5, 0.5, 1), nullpen);\u000afilldraw(ellipse((257.14,200),28.571,28.571), rgb(0.25, 0.25, 1), nullpen);\u000afilldraw(ellipse((257.14,257.14),28.571,28.571), rgb(0, 0, 1), nullpen);\u000afilldraw(ellipse((314.29,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000afilldraw(ellipse((314.29,85.714),28.571,28.571), rgb(1, 0.75, 1), nullpen);\u000afilldraw(ellipse((314.29,142.86),28.571,28.571), rgb(1, 0.5, 1), nullpen);\u000afilldraw(ellipse((314.29,200),28.571,28.571), rgb(1, 0.25, 1), nullpen);\u000afilldraw(ellipse((314.29,257.14),28.571,28.571), rgb(1, 0, 1), nullpen);\u000afilldraw(ellipse((371.43,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000afilldraw(ellipse((371.43,85.714),28.571,28.571), rgb(1, 0.75, 0.75), nullpen);\u000afilldraw(ellipse((371.43,142.86),28.571,28.571), rgb(1, 0.5, 0.5), nullpen);\u000afilldraw(ellipse((371.43,200),28.571,28.571), rgb(1, 0.25, 0.25), nullpen);\u000afilldraw(ellipse((371.43,257.14),28.571,28.571), rgb(1, 0, 0), nullpen);\u000aclip(box((0,0), (400,285.71)));\u000a\u005cend{asy}\u000a
p1333
sg15
I4
sass(g1
g2
g1305
I4
tp1334
(dp1335
g6
VGraphics[{Lighter[Red], Disk[]}]
p1336
sg8
(lp1337
(dp1338
g11
(lp1339
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw(ellipse((175,175),175,175), rgb(1, 0.33333, 0.33333), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p1340
sg15
I5
sass(g1
g2
g1305
I5
tp1341
(dp1342
g6
VHead[ToBoxes[Graphics[{Circle[]}]]]
p1343
sg8
(lp1344
(dp1345
g11
(lp1346
sg13
V\u005ctext{GraphicsBox}
p1347
sg15
I6
sass(g1
g2
V3D Graphics
p1348
I0
tp1349
(dp1350
g6
VGraphics3D[Polygon[{{0,0,0}, {0,1,1}, {1,0,0}}]]
p1351
sg8
(lp1352
(dp1353
g11
(lp1354
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(1.3,-2.4,2.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000apath3 g=(0,0,0)--(0,1,1)--(1,0,0)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000adraw(((0,0,0)--(1,0,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,0)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p1355
sg15
I1
sass(g1
g2
g1348
I1
tp1356
(dp1357
g6
VGraphics3D[{Orange, Polygon[{{0,0,0}, {1,1,1}, {1,0,0}}]}, Axes->True]
p1358
sg8
(lp1359
(dp1360
g11
(lp1361
(dp1362
g149
I01
sg150
VGeneral
p1363
sg152
g1264
sg154
VGeneral::notboxes
p1364
sg156
VGraphics3DBox[List[StyleBox[Graphics[List[EdgeForm[GrayLevel[0]], RGBColor[1, 0.5, 0], Rectangle[List[0, 0]]], Rule[ImageSize, 16]], Rule[ImageSizeMultipliers, List[1, 1]]], Polygon3DBox[List[List[0, 0, 0], List[1, 1, 1], List[1, 0, 0]]]], Rule[$OptionSyntax, Ignore], Rule[AspectRatio, Automatic], Rule[Axes, True], Rule[AxesStyle, List[]], Rule[Background, Automatic], Rule[BoxRatios, Automatic], Rule[ImageSize, Automatic], Rule[LabelStyle, List[]], Rule[Lighting, Automatic], Rule[PlotRange, Automatic], Rule[PlotRangePadding, Automatic], Rule[TicksStyle, List[]], Rule[ViewPoint, List[1.3, -2.4, 2.]]] is not a valid box structure.
p1365
sasg13
g1267
sg15
I2
sass(g1
g2
g1348
I2
tp1366
(dp1367
g6
VHead[ToBoxes[Graphics3D[{Polygon[]}]]]
p1368
sg8
(lp1369
(dp1370
g11
(lp1371
sg13
V\u005ctext{Graphics3DBox}
p1372
sg15
I3
sass(g1
g2
VPlotting Introduction Examples
p1373
I0
tp1374
(dp1375
g6
VPlot[Sin[x], {x, 0, 2 Pi}]
p1376
sg8
(lp1377
(dp1378
g11
(lp1379
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p1380
sg15
I1
sass(g1
g2
g1373
I1
tp1381
(dp1382
g6
VPlot[{Sin[x], Cos[x], x ^ 2}, {x, -1, 1}]
p1383
sg8
(lp1384
(dp1385
g11
(lp1386
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((200,151.672)--(204,151.672), rgb(0, 0, 0)+linewidth(0.66667));draw((200,179.774)--(204,179.774), rgb(0, 0, 0)+linewidth(0.66667));draw((200,193.824)--(204,193.824), rgb(0, 0, 0)+linewidth(0.66667));draw((200,207.875)--(204,207.875), rgb(0, 0, 0)+linewidth(0.66667));draw((200,221.926)--(204,221.926), rgb(0, 0, 0)+linewidth(0.66667));draw((200,250.027)--(204,250.027), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p1387
sg15
I2
sass(g1
g2
g1373
I2
tp1388
(dp1389
g6
VDensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p1390
sg8
(lp1391
(dp1392
g11
(lp1393
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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nullpen, nullpen);filldraw((50,150)--(50,200)--(100,150)--cycle, nullpen, nullpen);filldraw((50,200)--(100,150)--(100,200)--cycle, nullpen, nullpen);filldraw((50,200)--(50,250)--(100,200)--cycle, nullpen, nullpen);filldraw((50,250)--(100,200)--(100,250)--cycle, nullpen, nullpen);filldraw((50,250)--(50,300)--(100,250)--cycle, nullpen, nullpen);filldraw((50,300)--(100,250)--(100,300)--cycle, nullpen, nullpen);filldraw((50,300)--(50,350)--(100,300)--cycle, nullpen, nullpen);filldraw((50,350)--(100,300)--(100,350)--cycle, nullpen, nullpen);filldraw((100,0)--(100,50)--(150,0)--cycle, nullpen, nullpen);filldraw((100,50)--(150,0)--(150,50)--cycle, nullpen, nullpen);filldraw((100,50)--(100,100)--(150,50)--cycle, nullpen, nullpen);filldraw((100,100)--(150,50)--(150,100)--cycle, nullpen, nullpen);filldraw((100,100)--(100,150)--(150,100)--cycle, nullpen, nullpen);filldraw((100,150)--(150,100)--(150,150)--cycle, nullpen, nullpen);filldraw((100,150)--(100,200)--(150,150)--cycle, nullpen, nullpen);filldraw((100,200)--(150,150)--(150,200)--cycle, nullpen, nullpen);filldraw((100,200)--(100,250)--(150,200)--cycle, nullpen, nullpen);filldraw((100,250)--(150,200)--(150,250)--cycle, nullpen, nullpen);filldraw((100,250)--(100,300)--(150,250)--cycle, nullpen, nullpen);filldraw((100,300)--(150,250)--(150,300)--cycle, nullpen, nullpen);filldraw((100,300)--(100,350)--(150,300)--cycle, nullpen, nullpen);filldraw((100,350)--(150,300)--(150,350)--cycle, nullpen, nullpen);filldraw((150,0)--(150,50)--(200,0)--cycle, nullpen, nullpen);filldraw((150,50)--(200,0)--(200,50)--cycle, nullpen, nullpen);filldraw((150,50)--(150,100)--(200,50)--cycle, nullpen, nullpen);filldraw((150,100)--(200,50)--(200,100)--cycle, nullpen, nullpen);filldraw((150,100)--(150,150)--(200,100)--cycle, nullpen, nullpen);filldraw((150,150)--(200,100)--(200,150)--cycle, nullpen, nullpen);filldraw((150,150)--(150,200)--(200,150)--cycle, nullpen, nullpen);filldraw((150,200)--(200,150)--(200,200)--cycle, nullpen, nullpen);filldraw((150,200)--(150,250)--(200,200)--cycle, nullpen, nullpen);filldraw((150,250)--(200,200)--(200,250)--cycle, nullpen, nullpen);filldraw((150,250)--(150,300)--(200,250)--cycle, nullpen, nullpen);filldraw((150,300)--(200,250)--(200,300)--cycle, nullpen, nullpen);filldraw((150,300)--(150,350)--(200,300)--cycle, nullpen, nullpen);filldraw((150,350)--(200,300)--(200,350)--cycle, nullpen, nullpen);filldraw((200,0)--(250,0)--(250,50)--cycle, nullpen, nullpen);filldraw((200,0)--(200,50)--(250,50)--cycle, nullpen, nullpen);filldraw((200,50)--(250,50)--(250,100)--cycle, nullpen, nullpen);filldraw((200,50)--(200,100)--(250,100)--cycle, nullpen, nullpen);filldraw((200,100)--(250,100)--(250,150)--cycle, nullpen, nullpen);filldraw((200,100)--(200,150)--(250,150)--cycle, nullpen, nullpen);filldraw((200,150)--(250,150)--(250,200)--cycle, nullpen, nullpen);filldraw((200,150)--(200,200)--(250,200)--cycle, nullpen, nullpen);filldraw((200,200)--(250,200)--(250,250)--cycle, nullpen, nullpen);filldraw((200,200)--(200,250)--(250,250)--cycle, nullpen, nullpen);filldraw((200,250)--(250,250)--(250,300)--cycle, nullpen, nullpen);filldraw((200,250)--(200,300)--(250,300)--cycle, nullpen, nullpen);filldraw((200,300)--(250,300)--(250,350)--cycle, nullpen, nullpen);filldraw((200,300)--(200,350)--(250,350)--cycle, nullpen, nullpen);filldraw((250,0)--(300,0)--(300,50)--cycle, nullpen, nullpen);filldraw((250,0)--(250,50)--(300,50)--cycle, nullpen, nullpen);filldraw((250,50)--(300,50)--(300,100)--cycle, nullpen, nullpen);filldraw((250,50)--(250,100)--(300,100)--cycle, nullpen, nullpen);filldraw((250,100)--(300,100)--(300,150)--cycle, nullpen, nullpen);filldraw((250,100)--(250,150)--(300,150)--cycle, nullpen, nullpen);filldraw((250,150)--(300,150)--(300,200)--cycle, nullpen, nullpen);filldraw((250,150)--(250,200)--(300,200)--cycle, nullpen, nullpen);filldraw((250,200)--(300,200)--(300,250)--cycle, nullpen, nullpen);filldraw((250,200)--(250,250)--(300,250)--cycle, nullpen, nullpen);filldraw((250,250)--(300,250)--(300,300)--cycle, nullpen, nullpen);filldraw((250,250)--(250,300)--(300,300)--cycle, nullpen, nullpen);filldraw((250,300)--(300,300)--(300,350)--cycle, nullpen, nullpen);filldraw((250,300)--(250,350)--(300,350)--cycle, nullpen, nullpen);filldraw((300,0)--(350,0)--(350,50)--cycle, nullpen, nullpen);filldraw((300,0)--(300,50)--(350,50)--cycle, nullpen, nullpen);filldraw((300,50)--(350,50)--(350,100)--cycle, nullpen, nullpen);filldraw((300,50)--(300,100)--(350,100)--cycle, nullpen, nullpen);filldraw((300,100)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((300,100)--(300,150)--(350,150)--cycle, nullpen, nullpen);filldraw((300,150)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((300,150)--(300,200)--(350,200)--cycle, nullpen, nullpen);filldraw((300,200)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((300,200)--(300,250)--(350,250)--cycle, nullpen, nullpen);filldraw((300,250)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((300,250)--(300,300)--(350,300)--cycle, nullpen, nullpen);filldraw((300,300)--(350,300)--(350,350)--cycle, nullpen, nullpen);filldraw((300,300)--(300,350)--(350,350)--cycle, nullpen, nullpen);\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p1394
sg15
I3
sass(g1
g2
g1373
I3
tp1395
(dp1396
g6
VDensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}, ColorFunction -> (Blend[{Red, Green, Blue}, #]&)]
p1397
sg8
(lp1398
(dp1399
g11
(lp1400
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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new pen[] {rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0.10459, 0.89541),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0.10459, 0.89541),rgb(0, 0, 1),rgb(0, 0.10459, 0.89541),rgb(0, 0.24275, 0.75725),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0.24275, 0.75725),rgb(0, 0, 1),rgb(0, 0.24275, 0.75725),rgb(0, 0.34323, 0.65677),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0.34323, 0.65677),rgb(0, 0, 1),rgb(0, 0.34323, 0.65677),rgb(0, 0.41959, 0.58041),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0.41959, 0.58041),rgb(0, 0, 1),rgb(0, 0.41959, 0.58041),rgb(0, 0.47959, 0.52041),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0.24275, 0.75725),rgb(0, 0, 1),rgb(0, 0, 1),rgb(0, 0.24275, 0.75725),rgb(0, 0, 1),rgb(0, 0.24275, 0.75725),rgb(0, 0.55573, 0.44427),rgb(0, 0, 1),rgb(0, 0.10459, 0.89541),rgb(0, 0.55573, 0.44427),rgb(0, 0.10459, 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nullpen);filldraw((250,300)--(300,300)--(300,350)--cycle, nullpen, nullpen);filldraw((250,300)--(250,350)--(300,350)--cycle, nullpen, nullpen);filldraw((300,0)--(350,0)--(350,50)--cycle, nullpen, nullpen);filldraw((300,0)--(300,50)--(350,50)--cycle, nullpen, nullpen);filldraw((300,50)--(350,50)--(350,100)--cycle, nullpen, nullpen);filldraw((300,50)--(300,100)--(350,100)--cycle, nullpen, nullpen);filldraw((300,100)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((300,100)--(300,150)--(350,150)--cycle, nullpen, nullpen);filldraw((300,150)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((300,150)--(300,200)--(350,200)--cycle, nullpen, nullpen);filldraw((300,200)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((300,200)--(300,250)--(350,250)--cycle, nullpen, nullpen);filldraw((300,250)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((300,250)--(300,300)--(350,300)--cycle, nullpen, nullpen);filldraw((300,300)--(350,300)--(350,350)--cycle, nullpen, nullpen);filldraw((300,300)--(300,350)--(350,350)--cycle, nullpen, nullpen);\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p1401
sg15
I4
sass(g1
g2
g1373
I4
tp1402
(dp1403
g6
VPlot3D[Exp[x] Cos[y], {x, -2, 1}, {y, -Pi, 2 Pi}]
p1404
sg8
(lp1405
(dp1406
g11
(lp1407
sg13
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g=(-0.52381,-0.047619,0.013772)--(-0.38095,-0.047619,0.02114)--(-0.38095,0.095238,0.014629)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.52381,-0.047619,0.013772)--(-0.52381,0.095238,0.0095302)--(-0.38095,0.095238,0.014629)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.52381,0.38095,-0.013772)--(-0.52381,0.52381,0.0034013)--(-0.38095,0.52381,0.0052212)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.52381,0.52381,0.0034013)--(-0.52381,0.66667,0.015285)--(-0.38095,0.52381,0.0052212)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.52381,0.66667,0.015285)--(-0.38095,0.52381,0.0052212)--(-0.38095,0.66667,0.023464)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.52381,0.2381,-0.0095302)--(-0.45238,0.16667,1.1596e-18)--(-0.45238,0.2381,-0.011808)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 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0.14715177646857694),W);\u000adraw(((-0.6666666666666666,-0.3333333333333333,-0.19129730940915002)--(-0.6666666666666666,-0.3083333333333333,-0.19129730940915002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,-0.17658213176229234)--(-0.6666666666666666,-0.3083333333333333,-0.17658213176229234)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,-0.16186695411543464)--(-0.6666666666666666,-0.3083333333333333,-0.16186695411543464)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,-0.13243659882171924)--(-0.6666666666666666,-0.3083333333333333,-0.13243659882171924)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,-0.11772142117486156)--(-0.6666666666666666,-0.3083333333333333,-0.11772142117486156)), rgb(0, 0, 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0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.08829106588114617)--(-0.6666666666666666,-0.3083333333333333,0.08829106588114617)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.10300624352800387)--(-0.6666666666666666,-0.3083333333333333,0.10300624352800387)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.11772142117486156)--(-0.6666666666666666,-0.3083333333333333,0.11772142117486156)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.13243659882171924)--(-0.6666666666666666,-0.3083333333333333,0.13243659882171924)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.16186695411543464)--(-0.6666666666666666,-0.3083333333333333,0.16186695411543464)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.17658213176229234)--(-0.6666666666666666,-0.3083333333333333,0.17658213176229234)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.19129730940915002)--(-0.6666666666666666,-0.3083333333333333,0.19129730940915002)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p1408
sg15
I5
sass(g1
VExamples
p1409
VCurve sketching
p1410
I0
tp1411
(dp1412
g6
Vf[x_] := 4 x / (x ^ 2 + 3 x + 5)
p1413
sg8
(lp1414
(dp1415
g11
(lp1416
sg13
Nsg15
I1
sass(g1
g1409
g1410
I1
tp1417
(dp1418
g6
V{f'[x], f''[x], f'''[x]} // Together
p1419
sg8
(lp1420
(dp1421
g11
(lp1422
sg13
V\u005cleft\u005c{\u005cfrac{-4 \u005cleft(-5+x^2\u005cright)}{{\u005cleft(5+3 x+x^2\u005cright)}^2},\u005cfrac{8 \u005cleft(-15-15 x+x^3\u005cright)}{{\u005cleft(5+3 x+x^2\u005cright)}^3},\u005cfrac{-24 \u005cleft(-20-60 x-30 x^2+x^4\u005cright)}{{\u005cleft(5+3 x+x^2\u005cright)}^4}\u005cright\u005c}
p1423
sg15
I2
sass(g1
g1409
g1410
I2
tp1424
(dp1425
g6
Vextremes = Solve[f'[x] == 0, x]
p1426
sg8
(lp1427
(dp1428
g11
(lp1429
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-\u005csqrt{5}\u005cright\u005c},\u005cleft\u005c{x->\u005csqrt{5}\u005cright\u005c}\u005cright\u005c}
p1430
sg15
I3
sass(g1
g1409
g1410
I3
tp1431
(dp1432
g6
Vf''[x] /. extremes // N
p1433
sg8
(lp1434
(dp1435
g11
(lp1436
sg13
V\u005cleft\u005c{1.65086,-0.064079\u005cright\u005c}
p1437
sg15
I4
sass(g1
g1409
g1410
I4
tp1438
(dp1439
g6
Vinflections = Solve[f''[x] == 0, x] // N // Chop
p1440
sg8
(lp1441
(dp1442
g11
(lp1443
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1.0852\u005cright\u005c},\u005cleft\u005c{x->-3.21463\u005cright\u005c},\u005cleft\u005c{x->4.29983\u005cright\u005c}\u005cright\u005c}
p1444
sg15
I5
sass(g1
g1409
g1410
I5
tp1445
(dp1446
g6
Vf'''[x] /. inflections
p1447
sg8
(lp1448
(dp1449
g11
(lp1450
sg13
V\u005cleft\u005c{-3.67683,0.694905,0.00671894\u005cright\u005c}
p1451
sg15
I6
sass(g1
g1409
g1410
I6
tp1452
(dp1453
g6
VSolve[Denominator[f[x]] == 0, x]
p1454
sg8
(lp1455
(dp1456
g11
(lp1457
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-\u005cfrac{3}{2}-\u005cfrac{I}{2} \u005csqrt{11}\u005cright\u005c},\u005cleft\u005c{x->-\u005cfrac{3}{2}+\u005cfrac{I}{2} \u005csqrt{11}\u005cright\u005c}\u005cright\u005c}
p1458
sg15
I7
sass(g1
g1409
g1410
I7
tp1459
(dp1460
g6
VLimit[f[x], x -> Infinity]
p1461
sg8
(lp1462
(dp1463
g11
(lp1464
sg13
V0
p1465
sg15
I8
sass(g1
g1409
g1410
I8
tp1466
(dp1467
g6
VLimit[f[x], x -> -Infinity]
p1468
sg8
(lp1469
(dp1470
g11
(lp1471
sg13
V0
p1472
sg15
I9
sass(g1
g1409
g1410
I9
tp1473
(dp1474
g6
VPlot[f[x], {x, -8, 6}]
p1475
sg8
(lp1476
(dp1477
g11
(lp1478
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((200,198.985)--(200,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((214.29,198.985)--(214.29,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((242.86,198.985)--(242.86,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((257.14,198.985)--(257.14,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((271.43,198.985)--(271.43,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((300,198.985)--(300,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((314.29,198.985)--(314.29,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((328.57,198.985)--(328.57,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((357.14,198.985)--(357.14,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((371.43,198.985)--(371.43,202.985), rgb(0, 0, 0)+linewidth(0.66667));draw((385.71,198.985)--(385.71,202.985), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((228.57,-12.9443)--(228.57,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2.5$", (225.90476190476193,26.230771564366915), (-1,0), rgb(0, 0, 0));\u000alabel("$-2.0$", (225.90476190476193,60.78167884214175), (-1,0), rgb(0, 0, 0));\u000alabel("$-1.5$", (225.90476190476193,95.33258611991658), (-1,0), rgb(0, 0, 0));\u000alabel("$-1.0$", (225.90476190476193,129.88349339769144), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (225.90476190476193,164.43440067546626), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (225.90476190476193,233.53621523101594), (-1,0), rgb(0, 0, 0));\u000adraw((228.57,26.2308)--(235.24,26.2308), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,60.7817)--(235.24,60.7817), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,95.3326)--(235.24,95.3326), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,129.883)--(235.24,129.883), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,164.434)--(235.24,164.434), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,233.536)--(235.24,233.536), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,-1.40995)--(232.57,-1.40995), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,5.50023)--(232.57,5.50023), rgb(0, 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0)+linewidth(0.66667));draw((228.57,240.446)--(232.57,240.446), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,247.357)--(232.57,247.357), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p1479
sg15
I10
sass(g1
g1409
VLinear algebra
p1480
I0
tp1481
(dp1482
g6
VA = {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}};
p1483
sg8
(lp1484
(dp1485
g11
(lp1486
sg13
Nsg15
I1
sass(g1
g1409
g1480
I1
tp1487
(dp1488
g6
VMatrixForm[A]
p1489
sg8
(lp1490
(dp1491
g11
(lp1492
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 1 & 0\u005c\u005c 1 & 0 & 1\u005c\u005c 0 & 1 & 1\u005cend{array}\u005cright)
p1493
sg15
I2
sass(g1
g1409
g1480
I2
tp1494
(dp1495
g6
VEigenvalues[A]
p1496
sg8
(lp1497
(dp1498
g11
(lp1499
sg13
V\u005cleft\u005c{2,-1,1\u005cright\u005c}
p1500
sg15
I3
sass(g1
g1409
g1480
I3
tp1501
(dp1502
g6
VEigenvectors[A]
p1503
sg8
(lp1504
(dp1505
g11
(lp1506
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,1,1\u005cright\u005c},\u005cleft\u005c{1,-2,1\u005cright\u005c},\u005cleft\u005c{-1,0,1\u005cright\u005c}\u005cright\u005c}
p1507
sg15
I4
sass(g1
g1409
g1480
I4
tp1508
(dp1509
g6
VT = Transpose[Eigenvectors[A]]; MatrixForm[T]
p1510
sg8
(lp1511
(dp1512
g11
(lp1513
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 1 & -1\u005c\u005c 1 & -2 & 0\u005c\u005c 1 & 1 & 1\u005cend{array}\u005cright)
p1514
sg15
I5
sass(g1
g1409
g1480
I5
tp1515
(dp1516
g6
VInverse[T] . A . T // MatrixForm
p1517
sg8
(lp1518
(dp1519
g11
(lp1520
sg13
V\u005cleft(\u005cbegin{array}{ccc} 2 & 0 & 0\u005c\u005c 0 & -1 & 0\u005c\u005c 0 & 0 & 1\u005cend{array}\u005cright)
p1521
sg15
I6
sass(g1
g1409
g1480
I6
tp1522
(dp1523
g6
V% == DiagonalMatrix[Eigenvalues[A]]
p1524
sg8
(lp1525
(dp1526
g11
(lp1527
sg13
V\u005ctext{True}
p1528
sg15
I7
sass(g1
g1409
g1480
I7
tp1529
(dp1530
g6
VLinearSolve[A, {1, 2, 3}]
p1531
sg8
(lp1532
(dp1533
g11
(lp1534
sg13
V\u005cleft\u005c{0,1,2\u005cright\u005c}
p1535
sg15
I8
sass(g1
g1409
g1480
I8
tp1536
(dp1537
g6
VA . %
p1538
sg8
(lp1539
(dp1540
g11
(lp1541
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p1542
sg15
I9
sass(g1
g1409
g1480
I9
tp1543
(dp1544
g6
VNullSpace[A]
p1545
sg8
(lp1546
(dp1547
g11
(lp1548
sg13
V\u005cleft\u005c{\u005cright\u005c}
p1549
sg15
I10
sass(g1
g1409
g1480
I10
tp1550
(dp1551
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p1552
sg8
(lp1553
(dp1554
g11
(lp1555
sg13
Nsg15
I11
sass(g1
g1409
g1480
I11
tp1556
(dp1557
g6
VMatrixRank[B]
p1558
sg8
(lp1559
(dp1560
g11
(lp1561
sg13
V2
p1562
sg15
I12
sass(g1
g1409
g1480
I12
tp1563
(dp1564
g6
Vs = LinearSolve[B, {1, 2, 3}]
p1565
sg8
(lp1566
(dp1567
g11
(lp1568
sg13
V\u005cleft\u005c{-\u005cfrac{1}{3},\u005cfrac{2}{3},0\u005cright\u005c}
p1569
sg15
I13
sass(g1
g1409
g1480
I13
tp1570
(dp1571
g6
VNullSpace[B]
p1572
sg8
(lp1573
(dp1574
g11
(lp1575
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2,1\u005cright\u005c}\u005cright\u005c}
p1576
sg15
I14
sass(g1
g1409
g1480
I14
tp1577
(dp1578
g6
VB . (RandomInteger[100] * %[[1]] + s)
p1579
sg8
(lp1580
(dp1581
g11
(lp1582
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p1583
sg15
I15
sass(g1
g1409
VDice
p1584
I0
tp1585
(dp1586
g6
VDice[1, 6, 4, 4]
p1587
sg8
(lp1588
(dp1589
g11
(lp1590
sg13
V\u005ctext{Dice}\u005cleft[1,6,4,4\u005cright]
p1591
sg15
I1
sass(g1
g1409
g1584
I1
tp1592
(dp1593
g6
VSetAttributes[Dice, Orderless]
p1594
sg8
(lp1595
(dp1596
g11
(lp1597
sg13
Nsg15
I2
sass(g1
g1409
g1584
I2
tp1598
(dp1599
g6
VDice[1, 6, 4, 4]
p1600
sg8
(lp1601
(dp1602
g11
(lp1603
sg13
V\u005ctext{Dice}\u005cleft[1,4,4,6\u005cright]
p1604
sg15
I3
sass(g1
g1409
g1584
I3
tp1605
(dp1606
g6
VFormat[Dice[n_Integer?(1 <= # <= 6 &)]] := Block[{p = 0.2, r = 0.05}, Graphics[{EdgeForm[Black], White, Rectangle[], Black, EdgeForm[], If[OddQ[n], Disk[{0.5, 0.5}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{p, p}, r]], If[MemberQ[{2, 3, 4, 5, 6}, n], Disk[{1 - p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{p, 1 - p}, r]], If[MemberQ[{4, 5, 6}, n], Disk[{1 - p, p}, r]], If[n === 6, {Disk[{p, 0.5}, r], Disk[{1 - p, 0.5}, r]}]}, ImageSize -> Tiny]]
p1607
sg8
(lp1608
(dp1609
g11
(lp1610
sg13
Nsg15
I4
sass(g1
g1409
g1584
I4
tp1611
(dp1612
g6
VDice[1]
p1613
sg8
(lp1614
(dp1615
g11
(lp1616
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((50,50),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a
p1617
sg15
I5
sass(g1
g1409
g1584
I6
tp1618
(dp1619
g6
VFormat[Dice[]] := Graphics[{EdgeForm[Black], White, Rectangle[]}, ImageSize -> Tiny]
p1620
sg8
(lp1621
(dp1622
g11
(lp1623
sg13
Nsg15
I6
sass(g1
g1409
g1584
I7
tp1624
(dp1625
g6
VDice[]
p1626
sg8
(lp1627
(dp1628
g11
(lp1629
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a
p1630
sg15
I7
sass(g1
g1409
g1584
I8
tp1631
(dp1632
g6
VFormat[Dice[d___Integer?(1 <= # <= 6 &)]] := Row[Dice /@ {d}]
p1633
sg8
(lp1634
(dp1635
g11
(lp1636
sg13
Nsg15
I8
sass(g1
g1409
g1584
I9
tp1637
(dp1638
g6
VDice[1, 6, 4, 4]
p1639
sg8
(lp1640
(dp1641
g11
(lp1642
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((50,50),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,50),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,50),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a
p1643
sg15
I9
sass(g1
g1409
g1584
I10
tp1644
(dp1645
g6
VDice[1, 6, 4, 4] // InputForm
p1646
sg8
(lp1647
(dp1648
g11
(lp1649
sg13
V\u005ctext{Dice}\u005cleft[1, 4, 4, 6\u005cright]
p1650
sg15
I10
sass(g1
g1409
g1584
I11
tp1651
(dp1652
g6
VDice[a___] + Dice[b___] ^:= Dice[Sequence @@ {a, b}]
p1653
sg8
(lp1654
(dp1655
g11
(lp1656
sg13
Nsg15
I11
sass(g1
g1409
g1584
I12
tp1657
(dp1658
g6
VDice[a___] + Dice[b___] := Dice[Sequence @@ {a, b}]
p1659
sg8
(lp1660
(dp1661
g11
(lp1662
(dp1663
g149
I01
sg150
VSetDelayed
p1664
sg152
Vwrite
p1665
sg154
VSetDelayed::write
p1666
sg156
VTag Plus in Dice[a___] + Dice[b___] is Protected.
p1667
sasg13
V\u005ctext{\u005c$Failed}
p1668
sg15
I12
sass(g1
g1409
g1584
I13
tp1669
(dp1670
g6
VDice[1, 5] + Dice[3, 2] + Dice[4]
p1671
sg8
(lp1672
(dp1673
g11
(lp1674
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((50,50),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((50,50),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.6667cm, 1.6667cm);\u000afilldraw((0,0)--(100,0)--(100,100)--(0,100)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((50,50),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((20,80),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((80,20),5,5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (100.33,100.33)));\u000a\u005cend{asy}\u000a
p1675
sg15
I13
sass(g1
g1409
g1584
I15
tp1676
(dp1677
g6
VDiceSum[Dice[d___]] := Plus @@ {d}
p1678
sg8
(lp1679
(dp1680
g11
(lp1681
sg13
Nsg15
I14
sass(g1
g1409
g1584
I16
tp1682
(dp1683
g6
VDiceSum @ Dice[1, 2, 5]
p1684
sg8
(lp1685
(dp1686
g11
(lp1687
sg13
V8
p1688
sg15
I15
sass(g1
g1409
g1584
I17
tp1689
(dp1690
g6
VTable[{Dice[Sequence @@ d], DiceSum @ Dice[Sequence @@ d]}, {d, {{1, 2}, {2, 2}, {2, 6}}}] // TableForm
p1691
sg8
(lp1692
(dp1693
g11
(lp1694
sg13
V\u005cbegin{array}{cc} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.83333cm, 0.83333cm);\u000afilldraw((0,0)--(50,0)--(50,50)--(0,50)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((25,25),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (50.333,50.333)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.83333cm, 0.83333cm);\u000afilldraw((0,0)--(50,0)--(50,50)--(0,50)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((10,10),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((40,40),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (50.333,50.333)));\u000a\u005cend{asy}\u000a & 3\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.83333cm, 0.83333cm);\u000afilldraw((0,0)--(50,0)--(50,50)--(0,50)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((10,10),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((40,40),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (50.333,50.333)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.83333cm, 0.83333cm);\u000afilldraw((0,0)--(50,0)--(50,50)--(0,50)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((10,10),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((40,40),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (50.333,50.333)));\u000a\u005cend{asy}\u000a & 4\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.83333cm, 0.83333cm);\u000afilldraw((0,0)--(50,0)--(50,50)--(0,50)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((10,10),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((40,40),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (50.333,50.333)));\u000a\u005cend{asy}\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.83333cm, 0.83333cm);\u000afilldraw((0,0)--(50,0)--(50,50)--(0,50)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((10,10),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((40,40),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((10,40),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((40,10),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((10,25),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((40,25),2.5,2.5), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (50.333,50.333)));\u000a\u005cend{asy}\u000a & 8\u005cend{array}
p1695
sg15
I16
sass(VReference of Built-in Symbols
p1696
VEvaluation
p1697
VEvaluate
p1698
I0
tp1699
(dp1700
g6
VSetAttributes[f, HoldAll]
p1701
sg8
(lp1702
(dp1703
g11
(lp1704
sg13
Nsg15
I1
sass(g1696
g1697
g1698
I1
tp1705
(dp1706
g6
Vf[1 + 2]
p1707
sg8
(lp1708
(dp1709
g11
(lp1710
sg13
Vf\u005cleft[1+2\u005cright]
p1711
sg15
I2
sass(g1696
g1697
g1698
I2
tp1712
(dp1713
g6
Vf[Evaluate[1 + 2]]
p1714
sg8
(lp1715
(dp1716
g11
(lp1717
sg13
Vf\u005cleft[3\u005cright]
p1718
sg15
I3
sass(g1696
g1697
g1698
I3
tp1719
(dp1720
g6
VHold[Evaluate[1 + 2]]
p1721
sg8
(lp1722
(dp1723
g11
(lp1724
sg13
V\u005ctext{Hold}\u005cleft[3\u005cright]
p1725
sg15
I4
sass(g1696
g1697
g1698
I4
tp1726
(dp1727
g6
VHoldComplete[Evaluate[1 + 2]]
p1728
sg8
(lp1729
(dp1730
g11
(lp1731
sg13
V\u005ctext{HoldComplete}\u005cleft[\u005ctext{Evaluate}\u005cleft[1+2\u005cright]\u005cright]
p1732
sg15
I5
sass(g1696
g1697
g1698
I5
tp1733
(dp1734
g6
VEvaluate[Sequence[1, 2]]
p1735
sg8
(lp1736
(dp1737
g11
(lp1738
sg13
V\u005ctext{Sequence}\u005cleft[1,2\u005cright]
p1739
sg15
I6
sass(g1696
g1697
V$HistoryLength
p1740
I0
tp1741
(dp1742
g6
V$HistoryLength
p1743
sg8
(lp1744
(dp1745
g11
(lp1746
sg13
V100
p1747
sg15
I1
sass(g1696
g1697
g1740
I1
tp1748
(dp1749
g6
V$HistoryLength = 1;
p1750
sg8
(lp1751
(dp1752
g11
(lp1753
sg13
Nsg15
I2
sass(g1696
g1697
g1740
I2
tp1754
(dp1755
g6
V42
p1756
sg8
(lp1757
(dp1758
g11
(lp1759
sg13
V42
p1760
sg15
I3
sass(g1696
g1697
g1740
I3
tp1761
(dp1762
g6
V%
p1763
sg8
(lp1764
(dp1765
g11
(lp1766
sg13
V42
p1767
sg15
I4
sass(g1696
g1697
g1740
I4
tp1768
(dp1769
g6
V%%
p1770
sg8
(lp1771
(dp1772
g11
(lp1773
sg13
V\u005ctext{\u005c%3}
p1774
sg15
I5
sass(g1696
g1697
g1740
I5
tp1775
(dp1776
g6
V$HistoryLength = 0;
p1777
sg8
(lp1778
(dp1779
g11
(lp1780
sg13
Nsg15
I6
sass(g1696
g1697
g1740
I6
tp1781
(dp1782
g6
V42
p1783
sg8
(lp1784
(dp1785
g11
(lp1786
sg13
V42
p1787
sg15
I7
sass(g1696
g1697
g1740
I7
tp1788
(dp1789
g6
g1763
sg8
(lp1790
(dp1791
g11
(lp1792
sg13
V\u005ctext{\u005c%7}
p1793
sg15
I8
sass(g1696
g1697
VHold
p1794
I0
tp1795
(dp1796
g6
VAttributes[Hold]
p1797
sg8
(lp1798
(dp1799
g11
(lp1800
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p1801
sg15
I1
sass(g1696
g1697
VHoldComplete
p1802
I0
tp1803
(dp1804
g6
VAttributes[HoldComplete]
p1805
sg8
(lp1806
(dp1807
g11
(lp1808
sg13
V\u005cleft\u005c{\u005ctext{HoldAllComplete},\u005ctext{Protected}\u005cright\u005c}
p1809
sg15
I1
sass(g1696
g1697
VHoldForm
p1810
I0
tp1811
(dp1812
g6
VHoldForm[1 + 2 + 3]
p1813
sg8
(lp1814
(dp1815
g11
(lp1816
sg13
V1+2+3
p1817
sg15
I1
sass(g1696
g1697
g1810
I1
tp1818
(dp1819
g6
VAttributes[HoldForm]
p1820
sg8
(lp1821
(dp1822
g11
(lp1823
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p1824
sg15
I2
sass(g1696
g1697
VIn
p1825
I0
tp1826
(dp1827
g6
Vx = 1
p1828
sg8
(lp1829
(dp1830
g11
(lp1831
sg13
V1
p1832
sg15
I1
sass(g1696
g1697
g1825
I1
tp1833
(dp1834
g6
Vx = x + 1
p1835
sg8
(lp1836
(dp1837
g11
(lp1838
sg13
V2
p1839
sg15
I2
sass(g1696
g1697
g1825
I2
tp1840
(dp1841
g6
VDo[In[2], {3}]
p1842
sg8
(lp1843
(dp1844
g11
(lp1845
sg13
Nsg15
I3
sass(g1696
g1697
g1825
I3
tp1846
(dp1847
g6
g195
sg8
(lp1848
(dp1849
g11
(lp1850
sg13
V5
p1851
sg15
I4
sass(g1696
g1697
g1825
I4
tp1852
(dp1853
g6
VIn[-1]
p1854
sg8
(lp1855
(dp1856
g11
(lp1857
sg13
V5
p1858
sg15
I5
sass(g1696
g1697
g1825
I5
tp1859
(dp1860
g6
VDefinition[In]
p1861
sg8
(lp1862
(dp1863
g11
(lp1864
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[\u005ctext{In}\u005cright]=\u005cleft\u005c{\u005ctext{Protected}\u005cright\u005c}\u005c\u005c \u005ctext{In}\u005cleft[6\u005cright]=\u005ctext{Definition}\u005cleft[\u005ctext{In}\u005cright]\u005c\u005c \u005ctext{In}\u005cleft[5\u005cright]=\u005ctext{In}\u005cleft[-1\u005cright]\u005c\u005c \u005ctext{In}\u005cleft[4\u005cright]=x\u005c\u005c \u005ctext{In}\u005cleft[3\u005cright]=\u005ctext{Do}\u005cleft[\u005ctext{In}\u005cleft[2\u005cright],\u005cleft\u005c{3\u005cright\u005c}\u005cright]\u005c\u005c \u005ctext{In}\u005cleft[2\u005cright]=x=x+1\u005c\u005c \u005ctext{In}\u005cleft[1\u005cright]=x=1\u005cend{array}
p1865
sg15
I6
sass(g1696
g1697
V$Line
p1866
I0
tp1867
(dp1868
g6
V$Line
p1869
sg8
(lp1870
(dp1871
g11
(lp1872
sg13
V1
p1873
sg15
I1
sass(g1696
g1697
g1866
I1
tp1874
(dp1875
g6
V$Line
p1876
sg8
(lp1877
(dp1878
g11
(lp1879
sg13
V2
p1880
sg15
I2
sass(g1696
g1697
g1866
I2
tp1881
(dp1882
g6
V$Line = 12;
p1883
sg8
(lp1884
(dp1885
g11
(lp1886
sg13
Nsg15
I3
sass(g1696
g1697
g1866
I3
tp1887
(dp1888
g6
V2 * 5
p1889
sg8
(lp1890
(dp1891
g11
(lp1892
sg13
V10
p1893
sg15
I13
sass(g1696
g1697
g1866
I4
tp1894
(dp1895
g6
VOut[13]
p1896
sg8
(lp1897
(dp1898
g11
(lp1899
sg13
V10
p1900
sg15
I14
sass(g1696
g1697
g1866
I5
tp1901
(dp1902
g6
V$Line = -1;
p1903
sg8
(lp1904
(dp1905
g11
(lp1906
(dp1907
g149
I01
sg150
V$Line
p1908
sg152
Vintnn
p1909
sg154
V$Line::intnn
p1910
sg156
VNon-negative integer expected.
p1911
sasg13
Nsg15
I15
sass(g1696
g1697
VOut
p1912
I0
tp1913
(dp1914
g6
V42
p1915
sg8
(lp1916
(dp1917
g11
(lp1918
sg13
V42
p1919
sg15
I1
sass(g1696
g1697
g1912
I1
tp1920
(dp1921
g6
g1763
sg8
(lp1922
(dp1923
g11
(lp1924
sg13
V42
p1925
sg15
I2
sass(g1696
g1697
g1912
I2
tp1926
(dp1927
g6
V43;
p1928
sg8
(lp1929
(dp1930
g11
(lp1931
sg13
Nsg15
I3
sass(g1696
g1697
g1912
I3
tp1932
(dp1933
g6
g1763
sg8
(lp1934
(dp1935
g11
(lp1936
sg13
V43
p1937
sg15
I4
sass(g1696
g1697
g1912
I4
tp1938
(dp1939
g6
V44
p1940
sg8
(lp1941
(dp1942
g11
(lp1943
sg13
V44
p1944
sg15
I5
sass(g1696
g1697
g1912
I5
tp1945
(dp1946
g6
V%1
p1947
sg8
(lp1948
(dp1949
g11
(lp1950
sg13
V42
p1951
sg15
I6
sass(g1696
g1697
g1912
I6
tp1952
(dp1953
g6
V%%
p1954
sg8
(lp1955
(dp1956
g11
(lp1957
sg13
V44
p1958
sg15
I7
sass(g1696
g1697
g1912
I7
tp1959
(dp1960
g6
VHold[Out[-1]]
p1961
sg8
(lp1962
(dp1963
g11
(lp1964
sg13
V\u005ctext{Hold}\u005cleft[\u005c%\u005cright]
p1965
sg15
I8
sass(g1696
g1697
g1912
I8
tp1966
(dp1967
g6
VHold[%4]
p1968
sg8
(lp1969
(dp1970
g11
(lp1971
sg13
V\u005ctext{Hold}\u005cleft[\u005ctext{\u005c%4}\u005cright]
p1972
sg15
I9
sass(g1696
g1697
g1912
I9
tp1973
(dp1974
g6
VOut[0]
p1975
sg8
(lp1976
(dp1977
g11
(lp1978
sg13
V\u005ctext{Out}\u005cleft[0\u005cright]
p1979
sg15
I10
sass(g1696
g1697
V$RecursionLimit
p1980
I0
tp1981
(dp1982
g6
Va = a + a
p1983
sg8
(lp1984
(dp1985
g11
(lp1986
(dp1987
g149
I01
sg150
V$RecursionLimit
p1988
sg152
g1030
sg154
V$RecursionLimit::reclim
p1989
sg156
VRecursion depth of 200 exceeded.
p1990
sasg13
V\u005ctext{\u005c$Aborted}
p1991
sg15
I1
sass(g1696
g1697
g1980
I1
tp1992
(dp1993
g6
V$RecursionLimit
p1994
sg8
(lp1995
(dp1996
g11
(lp1997
sg13
V200
p1998
sg15
I2
sass(g1696
g1697
g1980
I2
tp1999
(dp2000
g6
V$RecursionLimit = x;
p2001
sg8
(lp2002
(dp2003
g11
(lp2004
(dp2005
g149
I01
sg150
V$RecursionLimit
p2006
sg152
Vlimset
p2007
sg154
V$RecursionLimit::limset
p2008
sg156
VCannot set $RecursionLimit to x; value must be an integer between 20 and 512; use the MATHICS_MAX_RECURSION_DEPTH environment variable to allow higher limits.
p2009
sasg13
Nsg15
I3
sass(g1696
g1697
g1980
I3
tp2010
(dp2011
g6
V$RecursionLimit = 512
p2012
sg8
(lp2013
(dp2014
g11
(lp2015
sg13
V512
p2016
sg15
I4
sass(g1696
g1697
g1980
I4
tp2017
(dp2018
g6
Va = a + a
p2019
sg8
(lp2020
(dp2021
g11
(lp2022
(dp2023
g149
I01
sg150
V$RecursionLimit
p2024
sg152
g1030
sg154
V$RecursionLimit::reclim
p2025
sg156
VRecursion depth of 512 exceeded.
p2026
sasg13
V\u005ctext{\u005c$Aborted}
p2027
sg15
I5
sass(g1696
g1697
VReleaseHold
p2028
I0
tp2029
(dp2030
g6
Vx = 3;
p2031
sg8
(lp2032
(dp2033
g11
(lp2034
sg13
Nsg15
I1
sass(g1696
g1697
g2028
I1
tp2035
(dp2036
g6
VHold[x]
p2037
sg8
(lp2038
(dp2039
g11
(lp2040
sg13
V\u005ctext{Hold}\u005cleft[x\u005cright]
p2041
sg15
I2
sass(g1696
g1697
g2028
I2
tp2042
(dp2043
g6
VReleaseHold[Hold[x]]
p2044
sg8
(lp2045
(dp2046
g11
(lp2047
sg13
V3
p2048
sg15
I3
sass(g1696
g1697
g2028
I3
tp2049
(dp2050
g6
VReleaseHold[y]
p2051
sg8
(lp2052
(dp2053
g11
(lp2054
sg13
Vy
p2055
sg15
I4
sass(g1696
g1697
VSequence
p2056
I0
tp2057
(dp2058
g6
Vf[x, Sequence[a, b], y]
p2059
sg8
(lp2060
(dp2061
g11
(lp2062
sg13
Vf\u005cleft[x,a,b,y\u005cright]
p2063
sg15
I1
sass(g1696
g1697
g2056
I1
tp2064
(dp2065
g6
VAttributes[Set]
p2066
sg8
(lp2067
(dp2068
g11
(lp2069
sg13
V\u005cleft\u005c{\u005ctext{HoldFirst},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p2070
sg15
I2
sass(g1696
g1697
g2056
I2
tp2071
(dp2072
g6
Va = Sequence[b, c];
p2073
sg8
(lp2074
(dp2075
g11
(lp2076
sg13
Nsg15
I3
sass(g1696
g1697
g2056
I3
tp2077
(dp2078
g6
g542
sg8
(lp2079
(dp2080
g11
(lp2081
sg13
V\u005ctext{Sequence}\u005cleft[b,c\u005cright]
p2082
sg15
I4
sass(g1696
g1697
g2056
I4
tp2083
(dp2084
g6
Vlist = {1, 2, 3};
p2085
sg8
(lp2086
(dp2087
g11
(lp2088
sg13
Nsg15
I5
sass(g1696
g1697
g2056
I5
tp2089
(dp2090
g6
Vf[Sequence @@ list]
p2091
sg8
(lp2092
(dp2093
g11
(lp2094
sg13
Vf\u005cleft[1,2,3\u005cright]
p2095
sg15
I6
sass(g1696
g1697
g2056
I6
tp2096
(dp2097
g6
VHold[a, Sequence[b, c], d]
p2098
sg8
(lp2099
(dp2100
g11
(lp2101
sg13
V\u005ctext{Hold}\u005cleft[a,b,c,d\u005cright]
p2102
sg15
I7
sass(g1696
g1697
g2056
I7
tp2103
(dp2104
g6
VHold[{a, Sequence[b, c], d}]
p2105
sg8
(lp2106
(dp2107
g11
(lp2108
sg13
V\u005ctext{Hold}\u005cleft[\u005cleft\u005c{a,\u005ctext{Sequence}\u005cleft[b,c\u005cright],d\u005cright\u005c}\u005cright]
p2109
sg15
I8
sass(g1696
g1697
VUnevaluated
p2110
I0
tp2111
(dp2112
g6
VSqrt[Unevaluated[x]]
p2113
sg8
(lp2114
(dp2115
g11
(lp2116
sg13
V\u005csqrt{x}
p2117
sg15
I1
sass(g1696
g1697
g2110
I1
tp2118
(dp2119
g6
VLength[Unevaluated[1+2+3+4]]
p2120
sg8
(lp2121
(dp2122
g11
(lp2123
sg13
V4
p2124
sg15
I2
sass(g1696
g1697
g2110
I2
tp2125
(dp2126
g6
VAttributes[Unevaluated]
p2127
sg8
(lp2128
(dp2129
g11
(lp2130
sg13
V\u005cleft\u005c{\u005ctext{HoldAllComplete},\u005ctext{Protected}\u005cright\u005c}
p2131
sg15
I3
sass(g1696
g1697
g2110
I3
tp2132
(dp2133
g6
Vf[Unevaluated[x]]
p2134
sg8
(lp2135
(dp2136
g11
(lp2137
sg13
Vf\u005cleft[\u005ctext{Unevaluated}\u005cleft[x\u005cright]\u005cright]
p2138
sg15
I4
sass(g1696
g1697
g2110
I4
tp2139
(dp2140
g6
VAttributes[f] = {Flat};
p2141
sg8
(lp2142
(dp2143
g11
(lp2144
sg13
Nsg15
I5
sass(g1696
g1697
g2110
I5
tp2145
(dp2146
g6
Vf[a, Unevaluated[f[b, c]]]
p2147
sg8
(lp2148
(dp2149
g11
(lp2150
sg13
Vf\u005cleft[a,\u005ctext{Unevaluated}\u005cleft[b\u005cright],\u005ctext{Unevaluated}\u005cleft[c\u005cright]\u005cright]
p2151
sg15
I6
sass(g1696
g1697
g2110
I6
tp2152
(dp2153
g6
Vg[a, Sequence[Unevaluated[b], Unevaluated[c]]]
p2154
sg8
(lp2155
(dp2156
g11
(lp2157
sg13
Vg\u005cleft[a,\u005ctext{Unevaluated}\u005cleft[b\u005cright],\u005ctext{Unevaluated}\u005cleft[c\u005cright]\u005cright]
p2158
sg15
I7
sass(g1696
g1697
g2110
I7
tp2159
(dp2160
g6
Vg[Unevaluated[Sequence[a, b, c]]]
p2161
sg8
(lp2162
(dp2163
g11
(lp2164
sg13
Vg\u005cleft[\u005ctext{Unevaluated}\u005cleft[\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]\u005cright]\u005cright]
p2165
sg15
I8
sass(g1696
VControl Statements
p2166
VAbort
p2167
I0
tp2168
(dp2169
g6
VPrint["a"]; Abort[]; Print["b"]
p2170
sg8
(lp2171
(dp2172
g11
(lp2173
(dp2174
g149
I00
sg156
g542
sasg13
V\u005ctext{\u005c$Aborted}
p2175
sg15
I1
sass(g1696
g2166
VBreak
p2176
I0
tp2177
(dp2178
g6
Vn = 0;
p2179
sg8
(lp2180
(dp2181
g11
(lp2182
sg13
Nsg15
I1
sass(g1696
g2166
g2176
I1
tp2183
(dp2184
g6
VWhile[True, If[n>10, Break[]]; n=n+1]
p2185
sg8
(lp2186
(dp2187
g11
(lp2188
sg13
Nsg15
I2
sass(g1696
g2166
g2176
I2
tp2189
(dp2190
g6
Vn
p2191
sg8
(lp2192
(dp2193
g11
(lp2194
sg13
V11
p2195
sg15
I3
sass(g1696
g2166
VCompoundExpression
p2196
I0
tp2197
(dp2198
g6
Va; b; c; d
p2199
sg8
(lp2200
(dp2201
g11
(lp2202
sg13
g519
sg15
I1
sass(g1696
g2166
g2196
I1
tp2203
(dp2204
g6
Va;
p2205
sg8
(lp2206
(dp2207
g11
(lp2208
sg13
Nsg15
I2
sass(g1696
g2166
VContinue
p2209
I0
tp2210
(dp2211
g6
VFor[i=1, i<=8, i=i+1, If[Mod[i,2] == 0, Continue[]]; Print[i]]
p2212
sg8
(lp2213
(dp2214
g11
(lp2215
(dp2216
g149
I00
sg156
V1
p2217
sa(dp2218
g149
I00
sg156
V3
p2219
sa(dp2220
g149
I00
sg156
V5
p2221
sa(dp2222
g149
I00
sg156
V7
p2223
sasg13
Nsg15
I1
sass(g1696
g2166
VDo
p2224
I0
tp2225
(dp2226
g6
VDo[Print[i], {i, 2, 4}]
p2227
sg8
(lp2228
(dp2229
g11
(lp2230
(dp2231
g149
I00
sg156
V2
p2232
sa(dp2233
g149
I00
sg156
V3
p2234
sa(dp2235
g149
I00
sg156
V4
p2236
sasg13
Nsg15
I1
sass(g1696
g2166
g2224
I1
tp2237
(dp2238
g6
VDo[Print[{i, j}], {i,1,2}, {j,3,5}]
p2239
sg8
(lp2240
(dp2241
g11
(lp2242
(dp2243
g149
I00
sg156
V{1, 3}
p2244
sa(dp2245
g149
I00
sg156
V{1, 4}
p2246
sa(dp2247
g149
I00
sg156
V{1, 5}
p2248
sa(dp2249
g149
I00
sg156
V{2, 3}
p2250
sa(dp2251
g149
I00
sg156
V{2, 4}
p2252
sa(dp2253
g149
I00
sg156
V{2, 5}
p2254
sasg13
Nsg15
I2
sass(g1696
g2166
g2224
I2
tp2255
(dp2256
g6
VDo[If[i > 10, Break[], If[Mod[i, 2] == 0, Continue[]]; Print[i]], {i, 5, 20}]
p2257
sg8
(lp2258
(dp2259
g11
(lp2260
(dp2261
g149
I00
sg156
V5
p2262
sa(dp2263
g149
I00
sg156
V7
p2264
sa(dp2265
g149
I00
sg156
V9
p2266
sasg13
Nsg15
I3
sass(g1696
g2166
VFixedPoint
p2267
I0
tp2268
(dp2269
g6
VFixedPoint[Cos, 1.0]
p2270
sg8
(lp2271
(dp2272
g11
(lp2273
sg13
V0.739085
p2274
sg15
I1
sass(g1696
g2166
g2267
I1
tp2275
(dp2276
g6
VFixedPoint[#+1 &, 1, 20]
p2277
sg8
(lp2278
(dp2279
g11
(lp2280
sg13
V21
p2281
sg15
I2
sass(g1696
g2166
VFixedPointList
p2282
I0
tp2283
(dp2284
g6
VFixedPointList[Cos, 1.0, 4]
p2285
sg8
(lp2286
(dp2287
g11
(lp2288
sg13
V\u005cleft\u005c{1.,0.540302,0.857553,0.65429,0.79348\u005cright\u005c}
p2289
sg15
I1
sass(g1696
g2166
g2282
I1
tp2290
(dp2291
g6
Vnewton[n_] := FixedPointList[.5(# + n/#) &, 1.];
p2292
sg8
(lp2293
(dp2294
g11
(lp2295
sg13
Nsg15
I2
sass(g1696
g2166
g2282
I2
tp2296
(dp2297
g6
Vnewton[9]
p2298
sg8
(lp2299
(dp2300
g11
(lp2301
sg13
V\u005cleft\u005c{1.,5.,3.4,3.02353,3.00009,3.,3.,3.\u005cright\u005c}
p2302
sg15
I3
sass(g1696
g2166
g2282
I3
tp2303
(dp2304
g6
Vcollatz[1] := 1;
p2305
sg8
(lp2306
(dp2307
g11
(lp2308
sg13
Nsg15
I4
sass(g1696
g2166
g2282
I4
tp2309
(dp2310
g6
Vcollatz[x_ ? EvenQ] := x / 2;
p2311
sg8
(lp2312
(dp2313
g11
(lp2314
sg13
Nsg15
I5
sass(g1696
g2166
g2282
I5
tp2315
(dp2316
g6
Vcollatz[x_] := 3 x + 1;
p2317
sg8
(lp2318
(dp2319
g11
(lp2320
sg13
Nsg15
I6
sass(g1696
g2166
g2282
I6
tp2321
(dp2322
g6
Vlist = FixedPointList[collatz, 14]
p2323
sg8
(lp2324
(dp2325
g11
(lp2326
sg13
V\u005cleft\u005c{14,7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1,1\u005cright\u005c}
p2327
sg15
I7
sass(g1696
g2166
g2282
I7
tp2328
(dp2329
g6
VListLinePlot[list]
p2330
sg8
(lp2331
(dp2332
g11
(lp2333
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,86.1502)--(38.384,45.8123)--(58.586,132.251)--(78.788,68.8625)--(98.99,201.401)--(119.19,103.438)--(139.39,305.127)--(159.6,155.301)--(179.8,80.3876)--(200,235.977)--(220.2,120.726)--(240.4, 63.1)--(260.61,34.2872)--(280.81,97.6753)--(301.01,51.5749)--(321.21,28.5246)--(341.41,16.9995)--(361.62,11.237)--(381.82,11.237), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-18.687,-13.611), (416.67,260.82)));\u000adraw((-16,5.47443)--(416,5.47443), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (98.98989898989902,2.8077602733090914), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (200.00000000000003,2.8077602733090914), (0,-1), rgb(0, 0, 0));\u000alabel("$15$", (301.01010101010104,2.8077602733090914), (0,-1), rgb(0, 0, 0));\u000alabel("$20$", (402.020202020202,2.8077602733090914), (0,-1), rgb(0, 0, 0));\u000adraw((98.99,5.47443)--(98.99,12.1411), rgb(0, 0, 0)+linewidth(0.66667));draw((200,5.47443)--(200,12.1411), rgb(0, 0, 0)+linewidth(0.66667));draw((301.01,5.47443)--(301.01,12.1411), rgb(0, 0, 0)+linewidth(0.66667));draw((402.02,5.47443)--(402.02,12.1411), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,5.47443)--(18.182,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((38.384,5.47443)--(38.384,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,5.47443)--(58.586,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((78.788,5.47443)--(78.788,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((119.19,5.47443)--(119.19,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((139.39,5.47443)--(139.39,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((159.6,5.47443)--(159.6,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((179.8,5.47443)--(179.8,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((220.2,5.47443)--(220.2,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((240.4,5.47443)--(240.4,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((260.61,5.47443)--(260.61,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((280.81,5.47443)--(280.81,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((321.21,5.47443)--(321.21,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((341.41,5.47443)--(341.41,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((361.62,5.47443)--(361.62,9.47443), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,5.47443)--(381.82,9.47443), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((-2.0202,-12.9443)--(-2.0202,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$10$", (-4.686868686868687,63.099973676562676), (-1,0), rgb(0, 0, 0));\u000alabel("$20$", (-4.686868686868687,120.72552041314958), (-1,0), rgb(0, 0, 0));\u000alabel("$30$", (-4.686868686868687,178.3510671497365), (-1,0), rgb(0, 0, 0));\u000alabel("$40$", (-4.686868686868687,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((-2.0202, 63.1)--(4.6465, 63.1), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,120.726)--(4.6465,120.726), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,178.351)--(4.6465,178.351), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,235.977)--(4.6465,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,16.9995)--(1.9798,16.9995), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,28.5246)--(1.9798,28.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,40.0498)--(1.9798,40.0498), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,51.5749)--(1.9798,51.5749), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,74.6251)--(1.9798,74.6251), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,86.1502)--(1.9798,86.1502), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,97.6753)--(1.9798,97.6753), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,109.2)--(1.9798,109.2), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,132.251)--(1.9798,132.251), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,143.776)--(1.9798,143.776), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,155.301)--(1.9798,155.301), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,166.826)--(1.9798,166.826), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,189.876)--(1.9798,189.876), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,201.401)--(1.9798,201.401), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,212.926)--(1.9798,212.926), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,224.452)--(1.9798,224.452), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,247.502)--(1.9798,247.502), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p2334
sg15
I8
sass(g1696
g2166
VFor
p2335
I0
tp2336
(dp2337
g6
Vn := 1
p2338
sg8
(lp2339
(dp2340
g11
(lp2341
sg13
Nsg15
I1
sass(g1696
g2166
g2335
I1
tp2342
(dp2343
g6
VFor[i=1, i<=10, i=i+1, n = n * i]
p2344
sg8
(lp2345
(dp2346
g11
(lp2347
sg13
Nsg15
I2
sass(g1696
g2166
g2335
I2
tp2348
(dp2349
g6
g2191
sg8
(lp2350
(dp2351
g11
(lp2352
sg13
V3628800
p2353
sg15
I3
sass(g1696
g2166
g2335
I3
tp2354
(dp2355
g6
Vn == 10!
p2356
sg8
(lp2357
(dp2358
g11
(lp2359
sg13
V\u005ctext{True}
p2360
sg15
I4
sass(g1696
g2166
VIf
p2361
I0
tp2362
(dp2363
g6
VIf[1<2, a, b]
p2364
sg8
(lp2365
(dp2366
g11
(lp2367
sg13
g542
sg15
I1
sass(g1696
g2166
g2361
I1
tp2368
(dp2369
g6
VIf[1<2, a]
p2370
sg8
(lp2371
(dp2372
g11
(lp2373
sg13
g542
sg15
I2
sass(g1696
g2166
g2361
I2
tp2374
(dp2375
g6
VIf[False, a] //FullForm
p2376
sg8
(lp2377
(dp2378
g11
(lp2379
sg13
V\u005ctext{Null}
p2380
sg15
I3
sass(g1696
g2166
g2361
I3
tp2381
(dp2382
g6
VIf[a, (*then*) b, (*else*) c];
p2383
sg8
(lp2384
(dp2385
g11
(lp2386
sg13
Nsg15
I4
sass(g1696
g2166
VInterrupt
p2387
I0
tp2388
(dp2389
g6
VPrint["a"]; Interrupt[]; Print["b"]
p2390
sg8
(lp2391
(dp2392
g11
(lp2393
(dp2394
g149
I00
sg156
g542
sasg13
V\u005ctext{\u005c$Aborted}
p2395
sg15
I1
sass(g1696
g2166
VNest
p2396
I0
tp2397
(dp2398
g6
VNest[f, x, 3]
p2399
sg8
(lp2400
(dp2401
g11
(lp2402
sg13
Vf\u005cleft[f\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005cright]
p2403
sg15
I1
sass(g1696
g2166
g2396
I1
tp2404
(dp2405
g6
VNest[(1+#) ^ 2 &, x, 2]
p2406
sg8
(lp2407
(dp2408
g11
(lp2409
sg13
V{\u005cleft(1+\u005cleft(1+x\u005cright)^2\u005cright)}^2
p2410
sg15
I2
sass(g1696
g2166
VNestList
p2411
I0
tp2412
(dp2413
g6
VNestList[f, x, 3]
p2414
sg8
(lp2415
(dp2416
g11
(lp2417
sg13
V\u005cleft\u005c{x,f\u005cleft[x\u005cright],f\u005cleft[f\u005cleft[x\u005cright]\u005cright],f\u005cleft[f\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005cright]\u005cright\u005c}
p2418
sg15
I1
sass(g1696
g2166
g2411
I1
tp2419
(dp2420
g6
VNestList[2 # &, 1, 8]
p2421
sg8
(lp2422
(dp2423
g11
(lp2424
sg13
V\u005cleft\u005c{1,2,4,8,16,32,64,128,256\u005cright\u005c}
p2425
sg15
I2
sass(g1696
g2166
g2411
I2
tp2426
(dp2427
g6
Vvertices = {{0,0}, {1,0}, {.5, .5 Sqrt[3]}};
p2428
sg8
(lp2429
(dp2430
g11
(lp2431
sg13
Nsg15
I3
sass(g1696
g2166
g2411
I3
tp2432
(dp2433
g6
Vpoints = NestList[.5(vertices[[ RandomInteger[{1,3}] ]] + #) &, {0.,0.}, 2000];
p2434
sg8
(lp2435
(dp2436
g11
(lp2437
sg13
Nsg15
I4
sass(g1696
g2166
g2411
I4
tp2438
(dp2439
g6
VGraphics[Point[points], ImageSize->Small]
p2440
sg8
(lp2441
(dp2442
g11
(lp2443
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 2.8826cm);\u000adot((0.0, 0.0), rgb(0, 0, 0));dot((0.0, 0.0), rgb(0, 0, 0));dot((0.0, 0.0), rgb(0, 0, 0));dot((100.53719427944567, 0.0), rgb(0, 0, 0));dot((50.268597139722836, 0.0), rgb(0, 0, 0));dot((75.40289570958424, 87.06776427121163), rgb(0, 0, 0));dot((138.23864213423778, 43.533882135605815), rgb(0, 0, 0));dot((69.11932106711889, 21.766941067802907), rgb(0, 0, 0));dot((84.82825767328228, 97.95123480511309), rgb(0, 0, 0));dot((142.9513231160868, 48.975617402556544), rgb(0, 0, 0));dot((172.01285583748907, 24.487808701278272), rgb(0, 0, 0));dot((136.27502505846738, 99.31166862185077), rgb(0, 0, 0));dot((118.40610966895652, 136.72359858213702), rgb(0, 0, 0));dot((109.4716519742011, 155.42956356228015), rgb(0, 0, 0));dot((54.73582598710055, 77.71478178114008), rgb(0, 0, 0));dot((27.367912993550274, 38.85739089057004), rgb(0, 0, 0));dot((13.683956496775137, 19.42869544528502), rgb(0, 0, 0));dot((6.841978248387568, 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0));dot((104.11611403622008, 152.41876898403615), rgb(0, 0, 0));dot((102.32665415783288, 163.27714876322972), rgb(0, 0, 0));dot((101.43192421863928, 168.7063386528265), rgb(0, 0, 0));dot((151.2531563887653, 84.35316932641325), rgb(0, 0, 0));dot((176.16377247382832, 42.176584663206626), rgb(0, 0, 0));dot((188.61908051635982, 21.088292331603313), rgb(0, 0, 0));dot((144.57813739790274, 97.6119104370133), rgb(0, 0, 0));dot((122.5576658386742, 135.87371948971827), rgb(0, 0, 0));dot((161.81602719878276, 67.93685974485913), rgb(0, 0, 0));dot((80.90801359939138, 33.96842987242957), rgb(0, 0, 0));dot((90.72260393941852, 104.0519792074264), rgb(0, 0, 0));dot((95.62989910943209, 139.09375387492483), rgb(0, 0, 0));dot((148.35214383416172, 69.54687693746241), rgb(0, 0, 0));dot((124.44466905680369, 121.84120273994283), rgb(0, 0, 0));dot((162.75952880784752, 60.920601369971415), rgb(0, 0, 0));dot((81.37976440392376, 30.460300684985707), rgb(0, 0, 0));dot((90.95847934168472, 102.29791461370449), 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0));dot((89.19889361995101, 98.03764221173464), rgb(0, 0, 0));dot((145.13664108942118, 49.01882110586732), rgb(0, 0, 0));dot((122.83691768443343, 111.57717482414529), rgb(0, 0, 0));dot((111.68705598193955, 142.8563516832843), rgb(0, 0, 0));dot((156.38072227041542, 71.42817584164214), rgb(0, 0, 0));dot((78.19036113520771, 35.71408792082107), rgb(0, 0, 0));dot((39.095180567603855, 17.857043960410536), rgb(0, 0, 0));dot((19.547590283801927, 8.928521980205268), rgb(0, 0, 0));dot((110.31098942134663, 4.464260990102634), rgb(0, 0, 0));dot((105.42409185039615, 89.29989476626294), rgb(0, 0, 0));dot((52.712045925198076, 44.64994738313147), rgb(0, 0, 0));dot((26.356022962599038, 22.324973691565734), rgb(0, 0, 0));dot((13.178011481299519, 11.162486845782867), rgb(0, 0, 0));dot((6.5890057406497595, 5.581243422891434), rgb(0, 0, 0));dot((3.2945028703248798, 2.790621711445717), rgb(0, 0, 0));dot((51.91584857488527, 88.4630751269345), rgb(0, 0, 0));dot((126.4951185668883, 44.23153756346725), rgb(0, 0, 0));dot((63.24755928344415, 22.115768781733625), rgb(0, 0, 0));dot((31.623779641722074, 11.057884390866812), rgb(0, 0, 0));dot((116.3490841003067, 5.528942195433406), rgb(0, 0, 0));dot((58.17454205015335, 2.764471097716703), rgb(0, 0, 0));dot((29.087271025076674, 1.3822355488583515), rgb(0, 0, 0));dot((115.08082979198399, 0.6911177744291758), rgb(0, 0, 0));dot((158.0776091754377, 0.3455588872145879), rgb(0, 0, 0));dot((129.30740172744166, 87.24054371481893), rgb(0, 0, 0));dot((64.65370086372083, 43.62027185740946), rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (200.67,173.44)));\u000a\u005cend{asy}\u000a
p2444
sg15
I5
sass(g1696
g2166
VNestWhile
p2445
I0
tp2446
(dp2447
g6
VNestWhile[#/2&, 10000, IntegerQ]
p2448
sg8
(lp2449
(dp2450
g11
(lp2451
sg13
V\u005cfrac{625}{2}
p2452
sg15
I1
sass(g1696
g2166
VReturn
p2453
I0
tp2454
(dp2455
g6
Vf[x_] := (If[x < 0, Return[0]]; x)
p2456
sg8
(lp2457
(dp2458
g11
(lp2459
sg13
Nsg15
I1
sass(g1696
g2166
g2453
I1
tp2460
(dp2461
g6
Vf[-1]
p2462
sg8
(lp2463
(dp2464
g11
(lp2465
sg13
V0
p2466
sg15
I2
sass(g1696
g2166
g2453
I2
tp2467
(dp2468
g6
VDo[If[i > 3, Return[]]; Print[i], {i, 10}]
p2469
sg8
(lp2470
(dp2471
g11
(lp2472
(dp2473
g149
I00
sg156
V1
p2474
sa(dp2475
g149
I00
sg156
V2
p2476
sa(dp2477
g149
I00
sg156
V3
p2478
sasg13
Nsg15
I3
sass(g1696
g2166
g2453
I3
tp2479
(dp2480
g6
Vg[x_] := (Do[If[x < 0, Return[0]], {i, {2, 1, 0, -1}}]; x)
p2481
sg8
(lp2482
(dp2483
g11
(lp2484
sg13
Nsg15
I4
sass(g1696
g2166
g2453
I4
tp2485
(dp2486
g6
Vg[-1]
p2487
sg8
(lp2488
(dp2489
g11
(lp2490
sg13
V-1
p2491
sg15
I5
sass(g1696
g2166
VSwitch
p2492
I0
tp2493
(dp2494
g6
VSwitch[2, 1, x, 2, y, 3, z]
p2495
sg8
(lp2496
(dp2497
g11
(lp2498
sg13
g2055
sg15
I1
sass(g1696
g2166
g2492
I1
tp2499
(dp2500
g6
VSwitch[5, 1, x, 2, y]
p2501
sg8
(lp2502
(dp2503
g11
(lp2504
sg13
V\u005ctext{Switch}\u005cleft[5,1,x,2,y\u005cright]
p2505
sg15
I2
sass(g1696
g2166
g2492
I2
tp2506
(dp2507
g6
VSwitch[5, 1, x, 2, y, _, z]
p2508
sg8
(lp2509
(dp2510
g11
(lp2511
sg13
Vz
p2512
sg15
I3
sass(g1696
g2166
g2492
I3
tp2513
(dp2514
g6
VSwitch[2, 1]
p2515
sg8
(lp2516
(dp2517
g11
(lp2518
(dp2519
g149
I01
sg150
VSwitch
p2520
sg152
Vargct
p2521
sg154
VSwitch::argct
p2522
sg156
VSwitch called with 2 arguments. Switch must be called with an odd number of arguments.
p2523
sasg13
V\u005ctext{Switch}\u005cleft[2,1\u005cright]
p2524
sg15
I4
sass(g1696
g2166
VWhich
p2525
I0
tp2526
(dp2527
g6
Vn = 5;
p2528
sg8
(lp2529
(dp2530
g11
(lp2531
sg13
Nsg15
I1
sass(g1696
g2166
g2525
I1
tp2532
(dp2533
g6
VWhich[n == 3, x, n == 5, y]
p2534
sg8
(lp2535
(dp2536
g11
(lp2537
sg13
g2055
sg15
I2
sass(g1696
g2166
g2525
I2
tp2538
(dp2539
g6
Vf[x_] := Which[x < 0, -x, x == 0, 0, x > 0, x]
p2540
sg8
(lp2541
(dp2542
g11
(lp2543
sg13
Nsg15
I3
sass(g1696
g2166
g2525
I3
tp2544
(dp2545
g6
Vf[-3]
p2546
sg8
(lp2547
(dp2548
g11
(lp2549
sg13
V3
p2550
sg15
I4
sass(g1696
g2166
g2525
I4
tp2551
(dp2552
g6
VWhich[False, a]
p2553
sg8
(lp2554
(dp2555
g11
(lp2556
sg13
Nsg15
I5
sass(g1696
g2166
g2525
I5
tp2557
(dp2558
g6
VWhich[False, a, x, b, True, c]
p2559
sg8
(lp2560
(dp2561
g11
(lp2562
sg13
V\u005ctext{Which}\u005cleft[x,b,\u005ctext{True},c\u005cright]
p2563
sg15
I6
sass(g1696
g2166
g2525
I6
tp2564
(dp2565
g6
VWhich[a, b, c]
p2566
sg8
(lp2567
(dp2568
g11
(lp2569
(dp2570
g149
I01
sg150
VWhich
p2571
sg152
g2521
sg154
VWhich::argct
p2572
sg156
VWhich called with 3 arguments.
p2573
sasg13
V\u005ctext{Which}\u005cleft[a,b,c\u005cright]
p2574
sg15
I7
sass(g1696
g2166
VWhile
p2575
I0
tp2576
(dp2577
g6
V{a, b} = {27, 6};
p2578
sg8
(lp2579
(dp2580
g11
(lp2581
sg13
Nsg15
I1
sass(g1696
g2166
g2575
I1
tp2582
(dp2583
g6
VWhile[b != 0, {a, b} = {b, Mod[a, b]}];
p2584
sg8
(lp2585
(dp2586
g11
(lp2587
sg13
Nsg15
I2
sass(g1696
g2166
g2575
I2
tp2588
(dp2589
g6
g542
sg8
(lp2590
(dp2591
g11
(lp2592
sg13
V3
p2593
sg15
I3
sass(g1696
VDate and Time
p2594
VAbsoluteTime
p2595
I0
tp2596
(dp2597
g6
VAbsoluteTime[]
p2598
sg8
(lp2599
(dp2600
g11
(lp2601
sg13
V3.82229\u005ctimes 10^9
p2602
sg15
I1
sass(g1696
g2594
g2595
I1
tp2603
(dp2604
g6
VAbsoluteTime[{2000}]
p2605
sg8
(lp2606
(dp2607
g11
(lp2608
sg13
V3155673600
p2609
sg15
I2
sass(g1696
g2594
g2595
I2
tp2610
(dp2611
g6
VAbsoluteTime[{"01/02/03", {"Day", "Month", "YearShort"}}]
p2612
sg8
(lp2613
(dp2614
g11
(lp2615
sg13
V3253046400
p2616
sg15
I3
sass(g1696
g2594
g2595
I3
tp2617
(dp2618
g6
VAbsoluteTime["6 June 1991"]
p2619
sg8
(lp2620
(dp2621
g11
(lp2622
sg13
V2885155200
p2623
sg15
I4
sass(g1696
g2594
g2595
I4
tp2624
(dp2625
g6
VAbsoluteTime[{"6-6-91", {"Day", "Month", "YearShort"}}]
p2626
sg8
(lp2627
(dp2628
g11
(lp2629
sg13
V2885155200
p2630
sg15
I5
sass(g1696
g2594
VAbsoluteTiming
p2631
I0
tp2632
(dp2633
g6
VAbsoluteTiming[50!]
p2634
sg8
(lp2635
(dp2636
g11
(lp2637
sg13
V\u005cleft\u005c{0.000329494,30414093201713378043612608166064768844377641568960512000000000000\u005cright\u005c}
p2638
sg15
I1
sass(g1696
g2594
g2631
I1
tp2639
(dp2640
g6
VAttributes[AbsoluteTiming]
p2641
sg8
(lp2642
(dp2643
g11
(lp2644
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p2645
sg15
I2
sass(g1696
g2594
VDateDifference
p2646
I0
tp2647
(dp2648
g6
VDateDifference[{2042, 1, 4}, {2057, 1, 1}]
p2649
sg8
(lp2650
(dp2651
g11
(lp2652
sg13
V5476
p2653
sg15
I1
sass(g1696
g2594
g2646
I1
tp2654
(dp2655
g6
VDateDifference[{1936, 8, 14}, {2000, 12, 1}, "Year"]
p2656
sg8
(lp2657
(dp2658
g11
(lp2659
sg13
V\u005cleft\u005c{64.3425,\u005ctext{Year}\u005cright\u005c}
p2660
sg15
I2
sass(g1696
g2594
g2646
I2
tp2661
(dp2662
g6
VDateDifference[{2010, 6, 1}, {2015, 1, 1}, "Hour"]
p2663
sg8
(lp2664
(dp2665
g11
(lp2666
sg13
V\u005cleft\u005c{40200,\u005ctext{Hour}\u005cright\u005c}
p2667
sg15
I3
sass(g1696
g2594
g2646
I3
tp2668
(dp2669
g6
VDateDifference[{2003, 8, 11}, {2003, 10, 19}, {"Week", "Day"}]
p2670
sg8
(lp2671
(dp2672
g11
(lp2673
sg13
V\u005cleft\u005c{\u005cleft\u005c{9,\u005ctext{Week}\u005cright\u005c},\u005cleft\u005c{6,\u005ctext{Day}\u005cright\u005c}\u005cright\u005c}
p2674
sg15
I4
sass(g1696
g2594
VDateList
p2675
I0
tp2676
(dp2677
g6
VDateList[0]
p2678
sg8
(lp2679
(dp2680
g11
(lp2681
sg13
V\u005cleft\u005c{1900,1,1,0,0,0.\u005cright\u005c}
p2682
sg15
I1
sass(g1696
g2594
g2675
I1
tp2683
(dp2684
g6
VDateList[3155673600]
p2685
sg8
(lp2686
(dp2687
g11
(lp2688
sg13
V\u005cleft\u005c{2000,1,1,0,0,0.\u005cright\u005c}
p2689
sg15
I2
sass(g1696
g2594
g2675
I2
tp2690
(dp2691
g6
VDateList[{2003, 5, 0.5, 0.1, 0.767}]
p2692
sg8
(lp2693
(dp2694
g11
(lp2695
sg13
V\u005cleft\u005c{2003,4,30,12,6,46.02\u005cright\u005c}
p2696
sg15
I3
sass(g1696
g2594
g2675
I3
tp2697
(dp2698
g6
VDateList[{2012, 1, 300., 10}]
p2699
sg8
(lp2700
(dp2701
g11
(lp2702
sg13
V\u005cleft\u005c{2012,10,26,10,0,0.\u005cright\u005c}
p2703
sg15
I4
sass(g1696
g2594
g2675
I4
tp2704
(dp2705
g6
VDateList["31/10/1991"]
p2706
sg8
(lp2707
(dp2708
g11
(lp2709
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p2710
sg15
I5
sass(g1696
g2594
g2675
I5
tp2711
(dp2712
g6
VDateList["1/10/1991"]
p2713
sg8
(lp2714
(dp2715
g11
(lp2716
(dp2717
g149
I01
sg150
VDateList
p2718
sg152
Vambig
p2719
sg154
VDateList::ambig
p2720
sg156
VThe interpretation of 1/10/1991 is ambiguous.
p2721
sasg13
V\u005cleft\u005c{1991,1,10,0,0,0.\u005cright\u005c}
p2722
sg15
I6
sass(g1696
g2594
g2675
I8
tp2723
(dp2724
g6
VDateList[{"31/10/91", {"Day", "Month", "YearShort"}}]
p2725
sg8
(lp2726
(dp2727
g11
(lp2728
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p2729
sg15
I7
sass(g1696
g2594
g2675
I9
tp2730
(dp2731
g6
VDateList[{"31 10/91", {"Day", " ", "Month", "/", "YearShort"}}]
p2732
sg8
(lp2733
(dp2734
g11
(lp2735
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p2736
sg15
I8
sass(g1696
g2594
g2675
I14
tp2737
(dp2738
g6
VDateList[{"5/18", {"Month", "Day"}}]
p2739
sg8
(lp2740
(dp2741
g11
(lp2742
sg13
V\u005cleft\u005c{2021,5,18,0,0,0.\u005cright\u005c}
p2743
sg15
I9
sass(g1696
g2594
VDatePlus
p2744
I0
tp2745
(dp2746
g6
VDatePlus[{2010, 2, 5}, 73]
p2747
sg8
(lp2748
(dp2749
g11
(lp2750
sg13
V\u005cleft\u005c{2010,4,19\u005cright\u005c}
p2751
sg15
I1
sass(g1696
g2594
g2744
I1
tp2752
(dp2753
g6
VDatePlus[{2010, 2, 5}, {{8, "Week"}, {1, "Day"}}]
p2754
sg8
(lp2755
(dp2756
g11
(lp2757
sg13
V\u005cleft\u005c{2010,4,3\u005cright\u005c}
p2758
sg15
I2
sass(g1696
g2594
VDateString
p2759
I0
tp2760
(dp2761
g6
VDateString[];
p2762
sg8
(lp2763
(dp2764
g11
(lp2765
sg13
Nsg15
I1
sass(g1696
g2594
g2759
I1
tp2766
(dp2767
g6
VDateString[{1991, 10, 31, 0, 0}, {"Day", " ", "MonthName", " ", "Year"}]
p2768
sg8
(lp2769
(dp2770
g11
(lp2771
sg13
V\u005ctext{31 October 1991}
p2772
sg15
I2
sass(g1696
g2594
g2759
I2
tp2773
(dp2774
g6
VDateString[{2007, 4, 15, 0}]
p2775
sg8
(lp2776
(dp2777
g11
(lp2778
sg13
V\u005ctext{Sun 15 Apr 2007 00:00:00}
p2779
sg15
I3
sass(g1696
g2594
g2759
I3
tp2780
(dp2781
g6
VDateString[{1979, 3, 14}, {"DayName", "  ", "Month", "-", "YearShort"}]
p2782
sg8
(lp2783
(dp2784
g11
(lp2785
sg13
V\u005ctext{Wednesday  03-79}
p2786
sg15
I4
sass(g1696
g2594
g2759
I4
tp2787
(dp2788
g6
VDateString[{1991, 6, 6.5}]
p2789
sg8
(lp2790
(dp2791
g11
(lp2792
sg13
V\u005ctext{Thu 6 Jun 1991 12:00:00}
p2793
sg15
I5
sass(g1696
g2594
V$DateStringFormat
p2794
I0
tp2795
(dp2796
g6
V$DateStringFormat
p2797
sg8
(lp2798
(dp2799
g11
(lp2800
sg13
V\u005cleft\u005c{\u005ctext{DateTimeShort}\u005cright\u005c}
p2801
sg15
I1
sass(g1696
g2594
VEasterSunday
p2802
I0
tp2803
(dp2804
g6
VEasterSunday[2000]
p2805
sg8
(lp2806
(dp2807
g11
(lp2808
sg13
V\u005cleft\u005c{2000,4,23\u005cright\u005c}
p2809
sg15
I1
sass(g1696
g2594
g2802
I1
tp2810
(dp2811
g6
VEasterSunday[2030]
p2812
sg8
(lp2813
(dp2814
g11
(lp2815
sg13
V\u005cleft\u005c{2030,4,21\u005cright\u005c}
p2816
sg15
I2
sass(g1696
g2594
VPause
p2817
I0
tp2818
(dp2819
g6
VPause[0.5]
p2820
sg8
(lp2821
(dp2822
g11
(lp2823
sg13
Nsg15
I1
sass(g1696
g2594
VSessionTime
p2824
I0
tp2825
(dp2826
g6
VSessionTime[]
p2827
sg8
(lp2828
(dp2829
g11
(lp2830
sg13
V80.4442
p2831
sg15
I1
sass(g1696
g2594
V$SystemTimeZone
p2832
I0
tp2833
(dp2834
g6
V$SystemTimeZone
p2835
sg8
(lp2836
(dp2837
g11
(lp2838
sg13
V-5.
p2839
sg15
I1
sass(g1696
g2594
VTimeConstrained
p2840
I0
tp2841
(dp2842
g6
VTimeConstrained[Integrate[Sin[x]^1000000,x],1]
p2843
sg8
(lp2844
(dp2845
g11
(lp2846
sg13
V\u005ctext{\u005c$Aborted}
p2847
sg15
I1
sass(g1696
g2594
g2840
I1
tp2848
(dp2849
g6
VTimeConstrained[Integrate[Sin[x]^1000000,x], 1, Integrate[Cos[x],x]]
p2850
sg8
(lp2851
(dp2852
g11
(lp2853
sg13
V\u005ctext{Sin}\u005cleft[x\u005cright]
p2854
sg15
I2
sass(g1696
g2594
g2840
I2
tp2855
(dp2856
g6
Vs=TimeConstrained[Integrate[Sin[x] ^ 3, x], a]
p2857
sg8
(lp2858
(dp2859
g11
(lp2860
(dp2861
g149
I01
sg150
VTimeConstrained
p2862
sg152
Vtimc
p2863
sg154
VTimeConstrained::timc
p2864
sg156
VNumber of seconds a is not a positive machine-sized number or Infinity.
p2865
sasg13
V\u005ctext{TimeConstrained}\u005cleft[\u005cint\u005ctext{Sin}\u005cleft[x\u005cright]^3 \u005c, dx,a\u005cright]
p2866
sg15
I3
sass(g1696
g2594
g2840
I3
tp2867
(dp2868
g6
Va=1; s
p2869
sg8
(lp2870
(dp2871
g11
(lp2872
sg13
V-\u005ctext{Cos}\u005cleft[x\u005cright]+\u005cfrac{\u005ctext{Cos}\u005cleft[x\u005cright]^3}{3}
p2873
sg15
I4
sass(g1696
g2594
VTimeRemaining
p2874
I0
tp2875
(dp2876
g6
VTimeRemaining[]
p2877
sg8
(lp2878
(dp2879
g11
(lp2880
sg13
g165
sg15
I1
sass(g1696
g2594
g2874
I1
tp2881
(dp2882
g6
VTimeConstrained[1+2; Print[TimeRemaining[]], 0.9]
p2883
sg8
(lp2884
(dp2885
g11
(lp2886
(dp2887
g149
I00
sg156
V0.899228
p2888
sasg13
Nsg15
I2
sass(g1696
g2594
VTimeUsed
p2889
I0
tp2890
(dp2891
g6
VTimeUsed[]
p2892
sg8
(lp2893
(dp2894
g11
(lp2895
sg13
V315.998
p2896
sg15
I1
sass(g1696
g2594
V$TimeZone
p2897
I0
tp2898
(dp2899
g6
V$TimeZone
p2900
sg8
(lp2901
(dp2902
g11
(lp2903
sg13
V-5.
p2904
sg15
I1
sass(g1696
g2594
VTiming
p2905
I0
tp2906
(dp2907
g6
VTiming[50!]
p2908
sg8
(lp2909
(dp2910
g11
(lp2911
sg13
V\u005cleft\u005c{0.00022684,30414093201713378043612608166064768844377641568960512000000000000\u005cright\u005c}
p2912
sg15
I1
sass(g1696
g2594
g2905
I1
tp2913
(dp2914
g6
VAttributes[Timing]
p2915
sg8
(lp2916
(dp2917
g11
(lp2918
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p2919
sg15
I2
sass(g1696
VGraphics (3D)
p2920
VCuboid
p2921
I0
tp2922
(dp2923
g6
VGraphics3D[Cuboid[{0, 0, 1}]]
p2924
sg8
(lp2925
(dp2926
g11
(lp2927
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(1.3,-2.4,2.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000apath3 g=(0,0,1)--(0,1,1)--(0,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,0,1)--(0,0,2)--(0,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(1,0,1)--(1,1,1)--(1,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(1,0,1)--(1,0,2)--(1,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,0,1)--(1,0,1)--(1,0,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,0,1)--(0,0,2)--(1,0,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,1,1)--(1,1,1)--(1,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,1,1)--(0,1,2)--(1,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,0,1)--(0,1,1)--(1,1,1)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,0,1)--(1,0,1)--(1,1,1)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,0,2)--(0,1,2)--(1,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);path3 g=(0,0,2)--(1,0,2)--(1,1,2)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000adraw(((0,0,1)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,2)--(1,0,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,2)--(1,1,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,2)--(0,1,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,2)--(1,1,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(0,0,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,1)--(1,0,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,1)--(0,1,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,1)--(1,1,2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p2928
sg15
I1
sass(g1696
g2920
g2921
I1
tp2929
(dp2930
g6
VGraphics3D[{Red, Cuboid[{0, 0, 0}, {1, 1, 0.5}], Blue, Cuboid[{0.25, 0.25, 0.5}, {0.75, 0.75, 1}]}]
p2931
sg8
(lp2932
(dp2933
g11
(lp2934
(dp2935
g149
I01
sg150
VGeneral
p2936
sg152
g1264
sg154
VGeneral::notboxes
p2937
sg156
VGraphics3DBox[List[StyleBox[Graphics[List[EdgeForm[GrayLevel[0]], RGBColor[1, 0, 0], Rectangle[List[0, 0]]], Rule[ImageSize, 16]], Rule[ImageSizeMultipliers, List[1, 1]]], Polygon3DBox[List[List[List[0., 0., 0.], List[0., 1., 0.], List[0., 1., 0.5]], List[List[0., 0., 0.], List[0., 0., 0.5], List[0., 1., 0.5]], List[List[1., 0., 0.], List[1., 1., 0.], List[1., 1., 0.5]], List[List[1., 0., 0.], List[1., 0., 0.5], List[1., 1., 0.5]], List[List[0., 0., 0.], List[1., 0., 0.], List[1., 0., 0.5]], List[List[0., 0., 0.], List[0., 0., 0.5], List[1., 0., 0.5]], List[List[0., 1., 0.], List[1., 1., 0.], List[1., 1., 0.5]], List[List[0., 1., 0.], List[0., 1., 0.5], List[1., 1., 0.5]], List[List[0., 0., 0.], List[0., 1., 0.], List[1., 1., 0.]], List[List[0., 0., 0.], List[1., 0., 0.], List[1., 1., 0.]], List[List[0., 0., 0.5], List[0., 1., 0.5], List[1., 1., 0.5]], List[List[0., 0., 0.5], List[1., 0., 0.5], List[1., 1., 0.5]]]], StyleBox[Graphics[List[EdgeForm[GrayLevel[0]], RGBColor[0, 0, 1], Rectangle[List[0, 0]]], Rule[ImageSize, 16]], Rule[ImageSizeMultipliers, List[1, 1]]], Polygon3DBox[List[List[List[0.25, 0.25, 0.5], List[0.25, 0.75, 0.5], List[0.25, 0.75, 1.]], List[List[0.25, 0.25, 0.5], List[0.25, 0.25, 1.], List[0.25, 0.75, 1.]], List[List[0.75, 0.25, 0.5], List[0.75, 0.75, 0.5], List[0.75, 0.75, 1.]], List[List[0.75, 0.25, 0.5], List[0.75, 0.25, 1.], List[0.75, 0.75, 1.]], List[List[0.25, 0.25, 0.5], List[0.75, 0.25, 0.5], List[0.75, 0.25, 1.]], List[List[0.25, 0.25, 0.5], List[0.25, 0.25, 1.], List[0.75, 0.25, 1.]], List[List[0.25, 0.75, 0.5], List[0.75, 0.75, 0.5], List[0.75, 0.75, 1.]], List[List[0.25, 0.75, 0.5], List[0.25, 0.75, 1.], List[0.75, 0.75, 1.]], List[List[0.25, 0.25, 0.5], List[0.25, 0.75, 0.5], List[0.75, 0.75, 0.5]], List[List[0.25, 0.25, 0.5], List[0.75, 0.25, 0.5], List[0.75, 0.75, 0.5]], List[List[0.25, 0.25, 1.], List[0.25, 0.75, 1.], List[0.75, 0.75, 1.]], List[List[0.25, 0.25, 1.], List[0.75, 0.25, 1.], List[0.75, 0.75, 1.]]]]], Rule[$OptionSyntax, Ignore], Rule[AspectRatio, Automatic], Rule[Axes, False], Rule[AxesStyle, List[]], Rule[Background, Automatic], Rule[BoxRatios, Automatic], Rule[ImageSize, Automatic], Rule[LabelStyle, List[]], Rule[Lighting, Automatic], Rule[PlotRange, Automatic], Rule[PlotRangePadding, Automatic], Rule[TicksStyle, List[]], Rule[ViewPoint, List[1.3, -2.4, 2.]]] is not a valid box structure.
p2938
sasg13
g1267
sg15
I2
sass(g1696
g2920
VGraphics3D
p2939
I0
tp2940
(dp2941
g6
VGraphics3D[Polygon[{{0,0,0}, {0,1,1}, {1,0,0}}]]
p2942
sg8
(lp2943
(dp2944
g11
(lp2945
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(1.3,-2.4,2.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000apath3 g=(0,0,0)--(0,1,1)--(1,0,0)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000adraw(((0,0,0)--(1,0,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,0)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p2946
sg15
I1
sass(g1696
g2920
g2939
I1
tp2947
(dp2948
g6
VGraphics3D[Sphere[]] // TeXForm
p2949
sg8
(lp2950
(dp2951
g11
(lp2952
sg13
V\u005ctext{\u005cnewline\u000a$\u005cbackslash$begin\u005c{asy\u005c}\u005cnewline\u000aimport three;\u005cnewline\u000aimport solids;\u005cnewline\u000asize(6.6667cm, 6.6667cm);\u005cnewline\u000acurrentprojection=perspective(2.6,-4.8,4.0);\u005cnewline\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u005cnewline\u000adraw(surface(sphere((0, 0, 0), 1)), rgb(1,1,1));\u005cnewline\u000adraw(((-1,-1,-1)--(1,-1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((-1,1,-1)--(1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((-1,-1,1)--(1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((-1,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((-1,-1,-1)--(-1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((1,-1,-1)--(1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((-1,-1,1)--(-1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((1,-1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((-1,-1,-1)--(-1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((1,-1,-1)--(1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((-1,1,-1)--(-1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000adraw(((1,1,-1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u005cnewline\u000a$\u005cbackslash$end\u005c{asy\u005c}\u005cnewline\u000a}
p2953
sg15
I2
sass(g1696
g2920
VSphere
p2954
I0
tp2955
(dp2956
g6
VGraphics3D[Sphere[{0, 0, 0}, 1]]
p2957
sg8
(lp2958
(dp2959
g11
(lp2960
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(2.6,-4.8,4.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000adraw(surface(sphere((0, 0, 0), 1)), rgb(1,1,1));\u000adraw(((-1,-1,-1)--(1,-1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,1,-1)--(1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,1)--(1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,-1)--(-1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,-1,-1)--(1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,1)--(-1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,-1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,-1)--(-1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,-1,-1)--(1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,1,-1)--(-1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,-1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p2961
sg15
I1
sass(g1696
g2920
g2954
I1
tp2962
(dp2963
g6
VGraphics3D[{Yellow, Sphere[{{-1, 0, 0}, {1, 0, 0}, {0, 0, Sqrt[3.]}}, 1]}]
p2964
sg8
(lp2965
(dp2966
g11
(lp2967
(dp2968
g149
I01
sg150
VGeneral
p2969
sg152
g1264
sg154
VGeneral::notboxes
p2970
sg156
VGraphics3DBox[List[StyleBox[Graphics[List[EdgeForm[GrayLevel[0]], RGBColor[1, 1, 0], Rectangle[List[0, 0]]], Rule[ImageSize, 16]], Rule[ImageSizeMultipliers, List[1, 1]]], Sphere3DBox[List[List[-1, 0, 0], List[1, 0, 0], List[0, 0, 1.7320508075688772]], 1]], Rule[$OptionSyntax, Ignore], Rule[AspectRatio, Automatic], Rule[Axes, False], Rule[AxesStyle, List[]], Rule[Background, Automatic], Rule[BoxRatios, Automatic], Rule[ImageSize, Automatic], Rule[LabelStyle, List[]], Rule[Lighting, Automatic], Rule[PlotRange, Automatic], Rule[PlotRangePadding, Automatic], Rule[TicksStyle, List[]], Rule[ViewPoint, List[1.3, -2.4, 2.]]] is not a valid box structure.
p2971
sasg13
g1267
sg15
I2
sass(g1696
VInput and Output
p2972
VBaseForm
p2973
I0
tp2974
(dp2975
g6
VBaseForm[33, 2]
p2976
sg8
(lp2977
(dp2978
g11
(lp2979
sg13
V100001_2
p2980
sg15
I1
sass(g1696
g2972
g2973
I1
tp2981
(dp2982
g6
VBaseForm[234, 16]
p2983
sg8
(lp2984
(dp2985
g11
(lp2986
sg13
V\u005ctext{ea}_{16}
p2987
sg15
I2
sass(g1696
g2972
g2973
I2
tp2988
(dp2989
g6
VBaseForm[12.3, 2]
p2990
sg8
(lp2991
(dp2992
g11
(lp2993
sg13
V1100.01001100110011001_2
p2994
sg15
I3
sass(g1696
g2972
g2973
I3
tp2995
(dp2996
g6
VBaseForm[-42, 16]
p2997
sg8
(lp2998
(dp2999
g11
(lp3000
sg13
V-2a_{16}
p3001
sg15
I4
sass(g1696
g2972
g2973
I4
tp3002
(dp3003
g6
VBaseForm[x, 2]
p3004
sg8
(lp3005
(dp3006
g11
(lp3007
sg13
g195
sg15
I5
sass(g1696
g2972
g2973
I5
tp3008
(dp3009
g6
VBaseForm[12, 3] // FullForm
p3010
sg8
(lp3011
(dp3012
g11
(lp3013
sg13
V\u005ctext{BaseForm}\u005cleft[12, 3\u005cright]
p3014
sg15
I6
sass(g1696
g2972
g2973
I6
tp3015
(dp3016
g6
VBaseForm[12, -3]
p3017
sg8
(lp3018
(dp3019
g11
(lp3020
(dp3021
g149
I01
sg150
VBaseForm
p3022
sg152
Vintpm
p3023
sg154
VBaseForm::intpm
p3024
sg156
VPositive machine-sized integer expected at position 2 in BaseForm[12, -3].
p3025
sa(dp3026
g149
I01
sg150
VGeneral
p3027
sg152
g1264
sg154
VGeneral::notboxes
p3028
sg156
VMakeBoxes[BaseForm[12, -3], StandardForm] is not a valid box structure.
p3029
sasg13
g1267
sg15
I7
sass(g1696
g2972
g2973
I7
tp3030
(dp3031
g6
VBaseForm[12, 100]
p3032
sg8
(lp3033
(dp3034
g11
(lp3035
(dp3036
g149
I01
sg150
VBaseForm
p3037
sg152
Vbasf
p3038
sg154
VBaseForm::basf
p3039
sg156
VRequested base 100 must be between 2 and 36.
p3040
sa(dp3041
g149
I01
sg150
VGeneral
p3042
sg152
g1264
sg154
VGeneral::notboxes
p3043
sg156
VMakeBoxes[BaseForm[12, 100], StandardForm] is not a valid box structure.
p3044
sasg13
g1267
sg15
I8
sass(g1696
g2972
VCheck
p3045
I0
tp3046
(dp3047
g6
VCheck[1/0, err]
p3048
sg8
(lp3049
(dp3050
g11
(lp3051
(dp3052
g149
I01
sg150
VPower
p3053
sg152
g153
sg154
VPower::infy
p3054
sg156
VInfinite expression 1 / 0 encountered.
p3055
sasg13
V\u005ctext{err}
p3056
sg15
I1
sass(g1696
g2972
g3045
I2
tp3057
(dp3058
g6
VCheck[Sin[0^0], err, Sin::argx]
p3059
sg8
(lp3060
(dp3061
g11
(lp3062
(dp3063
g149
I01
sg150
VPower
p3064
sg152
g174
sg154
VPower::indet
p3065
sg156
VIndeterminate expression 0 ^ 0 encountered.
p3066
sasg13
V\u005ctext{Indeterminate}
p3067
sg15
I2
sass(g1696
g2972
g3045
I3
tp3068
(dp3069
g6
VCheck[1/0, err, Power::infy]
p3070
sg8
(lp3071
(dp3072
g11
(lp3073
(dp3074
g149
I01
sg150
VPower
p3075
sg152
g153
sg154
VPower::infy
p3076
sg156
VInfinite expression 1 / 0 encountered.
p3077
sasg13
V\u005ctext{err}
p3078
sg15
I3
sass(g1696
g2972
VFormat
p3079
I0
tp3080
(dp3081
g6
VFormat[f[x___]] := Infix[{x}, "~"]
p3082
sg8
(lp3083
(dp3084
g11
(lp3085
sg13
Nsg15
I1
sass(g1696
g2972
g3079
I1
tp3086
(dp3087
g6
Vf[1, 2, 3]
p3088
sg8
(lp3089
(dp3090
g11
(lp3091
sg13
V1\u005csim{}2\u005csim{}3
p3092
sg15
I2
sass(g1696
g2972
g3079
I2
tp3093
(dp3094
g6
Vf[1]
p3095
sg8
(lp3096
(dp3097
g11
(lp3098
sg13
V1
p3099
sg15
I3
sass(g1696
g2972
g3079
I3
tp3100
(dp3101
g6
VFormat[3] = "three";
p3102
sg8
(lp3103
(dp3104
g11
(lp3105
(dp3106
g149
I01
sg150
VSet
p3107
sg152
Vsetraw
p3108
sg154
VSet::setraw
p3109
sg156
VCannot assign to raw object 3.
p3110
sasg13
Nsg15
I4
sass(g1696
g2972
g3079
I4
tp3111
(dp3112
g6
VFormat[r, a + b] = "r";
p3113
sg8
(lp3114
(dp3115
g11
(lp3116
(dp3117
g149
I01
sg150
VFormat
p3118
sg152
Vfttp
p3119
sg154
VFormat::fttp
p3120
sg156
VFormat type a + b is not a symbol.
p3121
sasg13
Nsg15
I5
sass(g1696
g2972
g3079
I5
tp3122
(dp3123
g6
Vf /: Format[g[f]] = "my f";
p3124
sg8
(lp3125
(dp3126
g11
(lp3127
(dp3128
g149
I01
sg150
VTagSet
p3129
sg152
Vtagnfd
p3130
sg154
VTagSet::tagnfd
p3131
sg156
VTag f not found or too deep for an assigned rule.
p3132
sasg13
Nsg15
I6
sass(g1696
g2972
VFullForm
p3133
I0
tp3134
(dp3135
g6
VFullForm[a + b * c]
p3136
sg8
(lp3137
(dp3138
g11
(lp3139
sg13
V\u005ctext{Plus}\u005cleft[a, \u005ctext{Times}\u005cleft[b, c\u005cright]\u005cright]
p3140
sg15
I1
sass(g1696
g2972
g3133
I1
tp3141
(dp3142
g6
VFullForm[2/3]
p3143
sg8
(lp3144
(dp3145
g11
(lp3146
sg13
V\u005ctext{Rational}\u005cleft[2, 3\u005cright]
p3147
sg15
I2
sass(g1696
g2972
g3133
I2
tp3148
(dp3149
g6
VFullForm["A string"]
p3150
sg8
(lp3151
(dp3152
g11
(lp3153
sg13
V\u005ctext{"A string"}
p3154
sg15
I3
sass(g1696
g2972
VGeneral
p3155
I0
tp3156
(dp3157
g6
VGeneral::argr
p3158
sg8
(lp3159
(dp3160
g11
(lp3161
sg13
V\u005ctext{`1` called with 1 argument; `2` arguments are expected.}
p3162
sg15
I1
sass(g1696
g2972
g3155
I1
tp3163
(dp3164
g6
VMessage[Rule::argr, Rule, 2]
p3165
sg8
(lp3166
(dp3167
g11
(lp3168
(dp3169
g149
I01
sg150
VRule
p3170
sg152
Vargr
p3171
sg154
VRule::argr
p3172
sg156
VRule called with 1 argument; 2 arguments are expected.
p3173
sasg13
Nsg15
I2
sass(g1696
g2972
VGrid
p3174
I0
tp3175
(dp3176
g6
VGrid[{{a, b}, {c, d}}]
p3177
sg8
(lp3178
(dp3179
g11
(lp3180
sg13
V\u005cbegin{array}{cc} a & b\u005c\u005c c & d\u005cend{array}
p3181
sg15
I1
sass(g1696
g2972
VInfix
p3182
I0
tp3183
(dp3184
g6
VFormat[g[x_, y_]] := Infix[{x, y}, "#", 350, Left]
p3185
sg8
(lp3186
(dp3187
g11
(lp3188
sg13
Nsg15
I1
sass(g1696
g2972
g3182
I1
tp3189
(dp3190
g6
Vg[a, g[b, c]]
p3191
sg8
(lp3192
(dp3193
g11
(lp3194
sg13
Va\u005c#\u005cleft(b\u005c#c\u005cright)
p3195
sg15
I2
sass(g1696
g2972
g3182
I2
tp3196
(dp3197
g6
Vg[g[a, b], c]
p3198
sg8
(lp3199
(dp3200
g11
(lp3201
sg13
Va\u005c#b\u005c#c
p3202
sg15
I3
sass(g1696
g2972
g3182
I3
tp3203
(dp3204
g6
Vg[a + b, c]
p3205
sg8
(lp3206
(dp3207
g11
(lp3208
sg13
V\u005cleft(a+b\u005cright)\u005c#c
p3209
sg15
I4
sass(g1696
g2972
g3182
I4
tp3210
(dp3211
g6
Vg[a * b, c]
p3212
sg8
(lp3213
(dp3214
g11
(lp3215
sg13
Va b\u005c#c
p3216
sg15
I5
sass(g1696
g2972
g3182
I5
tp3217
(dp3218
g6
Vg[a, b] + c
p3219
sg8
(lp3220
(dp3221
g11
(lp3222
sg13
Vc+a\u005c#b
p3223
sg15
I6
sass(g1696
g2972
g3182
I6
tp3224
(dp3225
g6
Vg[a, b] * c
p3226
sg8
(lp3227
(dp3228
g11
(lp3229
sg13
Vc \u005cleft(a\u005c#b\u005cright)
p3230
sg15
I7
sass(g1696
g2972
g3182
I7
tp3231
(dp3232
g6
VInfix[{a, b, c}, {"+", "-"}]
p3233
sg8
(lp3234
(dp3235
g11
(lp3236
sg13
Va+b-c
p3237
sg15
I8
sass(g1696
g2972
VInputForm
p3238
I0
tp3239
(dp3240
g6
VInputForm[a + b * c]
p3241
sg8
(lp3242
(dp3243
g11
(lp3244
sg13
Va\u005ctext{ + }b*c
p3245
sg15
I1
sass(g1696
g2972
g3238
I1
tp3246
(dp3247
g6
VInputForm["A string"]
p3248
sg8
(lp3249
(dp3250
g11
(lp3251
sg13
V\u005ctext{"A string"}
p3252
sg15
I2
sass(g1696
g2972
g3238
I2
tp3253
(dp3254
g6
VInputForm[f'[x]]
p3255
sg8
(lp3256
(dp3257
g11
(lp3258
sg13
V\u005ctext{Derivative}\u005cleft[1\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p3259
sg15
I3
sass(g1696
g2972
g3238
I3
tp3260
(dp3261
g6
VInputForm[Derivative[1, 0][f][x]]
p3262
sg8
(lp3263
(dp3264
g11
(lp3265
sg13
V\u005ctext{Derivative}\u005cleft[1, 0\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p3266
sg15
I4
sass(g1696
g2972
VMakeBoxes
p3267
I0
tp3268
(dp3269
g6
V\u005c(x \u005c^ 2\u005c)
p3270
sg8
(lp3271
(dp3272
g11
(lp3273
sg13
V\u005ctext{SuperscriptBox}\u005cleft[\u005ctext{x},\u005ctext{2}\u005cright]
p3274
sg15
I1
sass(g1696
g2972
g3267
I1
tp3275
(dp3276
g6
V\u005c(x \u005c_ 2\u005c)
p3277
sg8
(lp3278
(dp3279
g11
(lp3280
sg13
V\u005ctext{SubscriptBox}\u005cleft[\u005ctext{x},\u005ctext{2}\u005cright]
p3281
sg15
I2
sass(g1696
g2972
g3267
I2
tp3282
(dp3283
g6
V\u005c( a \u005c+ b \u005c% c\u005c)
p3284
sg8
(lp3285
(dp3286
g11
(lp3287
sg13
V\u005ctext{UnderoverscriptBox}\u005cleft[\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright]
p3288
sg15
I3
sass(g1696
g2972
g3267
I3
tp3289
(dp3290
g6
V\u005c( a \u005c& b \u005c% c\u005c)
p3291
sg8
(lp3292
(dp3293
g11
(lp3294
sg13
V\u005ctext{UnderoverscriptBox}\u005cleft[\u005ctext{a},\u005ctext{c},\u005ctext{b}\u005cright]
p3295
sg15
I4
sass(g1696
g2972
g3267
I5
tp3296
(dp3297
g6
V\u005c(x \u005c& y \u005c)
p3298
sg8
(lp3299
(dp3300
g11
(lp3301
sg13
V\u005ctext{OverscriptBox}\u005cleft[\u005ctext{x},\u005ctext{y}\u005cright]
p3302
sg15
I5
sass(g1696
g2972
g3267
I6
tp3303
(dp3304
g6
V\u005c(x \u005c+ y \u005c)
p3305
sg8
(lp3306
(dp3307
g11
(lp3308
sg13
V\u005ctext{UnderscriptBox}\u005cleft[\u005ctext{x},\u005ctext{y}\u005cright]
p3309
sg15
I6
sass(g1696
g2972
VMathMLForm
p3310
I0
tp3311
(dp3312
g6
VMathMLForm[HoldForm[Sqrt[a^3]]]
p3313
sg8
(lp3314
(dp3315
g11
(lp3316
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><msqrt><msup><mi>a</mi> <mn>3</mn></msup></msqrt></mstyle></math>}
p3317
sg15
I1
sass(g1696
g2972
g3310
I1
tp3318
(dp3319
g6
VMathMLForm[\u005c[Mu]]
p3320
sg8
(lp3321
(dp3322
g11
(lp3323
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mi>\u03bc</mi></mstyle></math>}
p3324
sg15
I2
sass(g1696
g2972
VMatrixForm
p3325
I0
tp3326
(dp3327
g6
VArray[a,{4,3}]//MatrixForm
p3328
sg8
(lp3329
(dp3330
g11
(lp3331
sg13
V\u005cleft(\u005cbegin{array}{ccc} a\u005cleft[1,1\u005cright] & a\u005cleft[1,2\u005cright] & a\u005cleft[1,3\u005cright]\u005c\u005c a\u005cleft[2,1\u005cright] & a\u005cleft[2,2\u005cright] & a\u005cleft[2,3\u005cright]\u005c\u005c a\u005cleft[3,1\u005cright] & a\u005cleft[3,2\u005cright] & a\u005cleft[3,3\u005cright]\u005c\u005c a\u005cleft[4,1\u005cright] & a\u005cleft[4,2\u005cright] & a\u005cleft[4,3\u005cright]\u005cend{array}\u005cright)
p3332
sg15
I1
sass(g1696
g2972
VMessage
p3333
I0
tp3334
(dp3335
g6
Va::b = "Hello world!"
p3336
sg8
(lp3337
(dp3338
g11
(lp3339
sg13
V\u005ctext{Hello world!}
p3340
sg15
I1
sass(g1696
g2972
g3333
I1
tp3341
(dp3342
g6
VMessage[a::b]
p3343
sg8
(lp3344
(dp3345
g11
(lp3346
(dp3347
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p3348
sg156
VHello world!
p3349
sasg13
Nsg15
I2
sass(g1696
g2972
g3333
I2
tp3350
(dp3351
g6
Va::c := "Hello `1`, Mr 00`2`!"
p3352
sg8
(lp3353
(dp3354
g11
(lp3355
sg13
Nsg15
I3
sass(g1696
g2972
g3333
I3
tp3356
(dp3357
g6
VMessage[a::c, "you", 3 + 4]
p3358
sg8
(lp3359
(dp3360
g11
(lp3361
(dp3362
g149
I01
sg150
g542
sg152
g444
sg154
Va::c
p3363
sg156
VHello you, Mr 007!
p3364
sasg13
Nsg15
I4
sass(g1696
g2972
VMessageName
p3365
I0
tp3366
(dp3367
g6
VFullForm[a::b]
p3368
sg8
(lp3369
(dp3370
g11
(lp3371
sg13
V\u005ctext{MessageName}\u005cleft[a, \u005ctext{"b"}\u005cright]
p3372
sg15
I1
sass(g1696
g2972
g3365
I1
tp3373
(dp3374
g6
VFullForm[a::"b"]
p3375
sg8
(lp3376
(dp3377
g11
(lp3378
sg13
V\u005ctext{MessageName}\u005cleft[a, \u005ctext{"b"}\u005cright]
p3379
sg15
I2
sass(g1696
g2972
VNumberForm
p3380
I0
tp3381
(dp3382
g6
VNumberForm[N[Pi], 10]
p3383
sg8
(lp3384
(dp3385
g11
(lp3386
sg13
V3.141592654
p3387
sg15
I1
sass(g1696
g2972
g3380
I1
tp3388
(dp3389
g6
VNumberForm[N[Pi], {10, 5}]
p3390
sg8
(lp3391
(dp3392
g11
(lp3393
sg13
V3.14159
p3394
sg15
I2
sass(g1696
g2972
VOff
p3395
I0
tp3396
(dp3397
g6
VOff[Power::infy]
p3398
sg8
(lp3399
(dp3400
g11
(lp3401
sg13
Nsg15
I1
sass(g1696
g2972
g3395
I1
tp3402
(dp3403
g6
V1 / 0
p3404
sg8
(lp3405
(dp3406
g11
(lp3407
sg13
V\u005ctext{ComplexInfinity}
p3408
sg15
I2
sass(g1696
g2972
g3395
I2
tp3409
(dp3410
g6
VOff[Power::indet, Syntax::com]
p3411
sg8
(lp3412
(dp3413
g11
(lp3414
sg13
Nsg15
I3
sass(g1696
g2972
g3395
I3
tp3415
(dp3416
g6
V{0 ^ 0,}
p3417
sg8
(lp3418
(dp3419
g11
(lp3420
sg13
V\u005cleft\u005c{\u005ctext{Indeterminate},\u005ctext{Null}\u005cright\u005c}
p3421
sg15
I4
sass(g1696
g2972
VOn
p3422
I0
tp3423
(dp3424
g6
VOff[Power::infy]
p3425
sg8
(lp3426
(dp3427
g11
(lp3428
sg13
Nsg15
I1
sass(g1696
g2972
g3422
I1
tp3429
(dp3430
g6
V1 / 0
p3431
sg8
(lp3432
(dp3433
g11
(lp3434
sg13
V\u005ctext{ComplexInfinity}
p3435
sg15
I2
sass(g1696
g2972
g3422
I2
tp3436
(dp3437
g6
VOn[Power::infy]
p3438
sg8
(lp3439
(dp3440
g11
(lp3441
sg13
Nsg15
I3
sass(g1696
g2972
g3422
I3
tp3442
(dp3443
g6
V1 / 0
p3444
sg8
(lp3445
(dp3446
g11
(lp3447
(dp3448
g149
I01
sg150
VPower
p3449
sg152
g153
sg154
VPower::infy
p3450
sg156
VInfinite expression 1 / 0 encountered.
p3451
sasg13
V\u005ctext{ComplexInfinity}
p3452
sg15
I4
sass(g1696
g2972
VOutputForm
p3453
I0
tp3454
(dp3455
g6
VOutputForm[f'[x]]
p3456
sg8
(lp3457
(dp3458
g11
(lp3459
sg13
Vf'\u005cleft[x\u005cright]
p3460
sg15
I1
sass(g1696
g2972
g3453
I1
tp3461
(dp3462
g6
VOutputForm[Derivative[1, 0][f][x]]
p3463
sg8
(lp3464
(dp3465
g11
(lp3466
sg13
V\u005ctext{Derivative}\u005cleft[1, 0\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p3467
sg15
I2
sass(g1696
g2972
g3453
I2
tp3468
(dp3469
g6
VOutputForm["A string"]
p3470
sg8
(lp3471
(dp3472
g11
(lp3473
sg13
V\u005ctext{A string}
p3474
sg15
I3
sass(g1696
g2972
g3453
I3
tp3475
(dp3476
g6
VOutputForm[Graphics[Rectangle[]]]
p3477
sg8
(lp3478
(dp3479
g11
(lp3480
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((0,0)--(350,0)--(350,350)--(0,350)--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p3481
sg15
I4
sass(g1696
g2972
VPostfix
p3482
I0
tp3483
(dp3484
g6
Vb // a
p3485
sg8
(lp3486
(dp3487
g11
(lp3488
sg13
Va\u005cleft[b\u005cright]
p3489
sg15
I1
sass(g1696
g2972
g3482
I1
tp3490
(dp3491
g6
Vc // b // a
p3492
sg8
(lp3493
(dp3494
g11
(lp3495
sg13
Va\u005cleft[b\u005cleft[c\u005cright]\u005cright]
p3496
sg15
I2
sass(g1696
g2972
g3482
I2
tp3497
(dp3498
g6
VHold[x // a // b // c // d // e // f]
p3499
sg8
(lp3500
(dp3501
g11
(lp3502
sg13
V\u005ctext{Hold}\u005cleft[f\u005cleft[e\u005cleft[d\u005cleft[c\u005cleft[b\u005cleft[a\u005cleft[x\u005cright]\u005cright]\u005cright]\u005cright]\u005cright]\u005cright]\u005cright]
p3503
sg15
I3
sass(g1696
g2972
VPrecedence
p3504
I0
tp3505
(dp3506
g6
VPrecedence[Plus]
p3507
sg8
(lp3508
(dp3509
g11
(lp3510
sg13
V310.
p3511
sg15
I1
sass(g1696
g2972
g3504
I1
tp3512
(dp3513
g6
VPrecedence[Plus] < Precedence[Times]
p3514
sg8
(lp3515
(dp3516
g11
(lp3517
sg13
V\u005ctext{True}
p3518
sg15
I2
sass(g1696
g2972
g3504
I2
tp3519
(dp3520
g6
VPrecedence[f]
p3521
sg8
(lp3522
(dp3523
g11
(lp3524
sg13
V670.
p3525
sg15
I3
sass(g1696
g2972
g3504
I3
tp3526
(dp3527
g6
VPrecedence[a + b]
p3528
sg8
(lp3529
(dp3530
g11
(lp3531
sg13
V1000.
p3532
sg15
I4
sass(g1696
g2972
VPrefix
p3533
I0
tp3534
(dp3535
g6
Va @ b
p3536
sg8
(lp3537
(dp3538
g11
(lp3539
sg13
Va\u005cleft[b\u005cright]
p3540
sg15
I1
sass(g1696
g2972
g3533
I1
tp3541
(dp3542
g6
Va @ b @ c
p3543
sg8
(lp3544
(dp3545
g11
(lp3546
sg13
Va\u005cleft[b\u005cleft[c\u005cright]\u005cright]
p3547
sg15
I2
sass(g1696
g2972
g3533
I2
tp3548
(dp3549
g6
VFormat[p[x_]] := Prefix[{x}, "*"]
p3550
sg8
(lp3551
(dp3552
g11
(lp3553
sg13
Nsg15
I3
sass(g1696
g2972
g3533
I3
tp3554
(dp3555
g6
Vp[3]
p3556
sg8
(lp3557
(dp3558
g11
(lp3559
sg13
V*3
p3560
sg15
I4
sass(g1696
g2972
g3533
I4
tp3561
(dp3562
g6
VFormat[q[x_]] := Prefix[{x}, "~", 350]
p3563
sg8
(lp3564
(dp3565
g11
(lp3566
sg13
Nsg15
I5
sass(g1696
g2972
g3533
I5
tp3567
(dp3568
g6
Vq[a+b]
p3569
sg8
(lp3570
(dp3571
g11
(lp3572
sg13
V\u005csim{}\u005cleft(a+b\u005cright)
p3573
sg15
I6
sass(g1696
g2972
g3533
I6
tp3574
(dp3575
g6
Vq[a*b]
p3576
sg8
(lp3577
(dp3578
g11
(lp3579
sg13
V\u005csim{}a b
p3580
sg15
I7
sass(g1696
g2972
g3533
I7
tp3581
(dp3582
g6
Vq[a]+b
p3583
sg8
(lp3584
(dp3585
g11
(lp3586
sg13
Vb+\u005csim{}a
p3587
sg15
I8
sass(g1696
g2972
g3533
I8
tp3588
(dp3589
g6
VHold[a @ b @ c @ d @ e @ f @ x]
p3590
sg8
(lp3591
(dp3592
g11
(lp3593
sg13
V\u005ctext{Hold}\u005cleft[a\u005cleft[b\u005cleft[c\u005cleft[d\u005cleft[e\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005cright]\u005cright]\u005cright]\u005cright]\u005cright]
p3594
sg15
I9
sass(g1696
g2972
VPrint
p3595
I0
tp3596
(dp3597
g6
VPrint["Hello world!"]
p3598
sg8
(lp3599
(dp3600
g11
(lp3601
(dp3602
g149
I00
sg156
VHello world!
p3603
sasg13
Nsg15
I1
sass(g1696
g2972
g3595
I1
tp3604
(dp3605
g6
VPrint["The answer is ", 7 * 6, "."]
p3606
sg8
(lp3607
(dp3608
g11
(lp3609
(dp3610
g149
I00
sg156
VThe answer is 42.
p3611
sasg13
Nsg15
I2
sass(g1696
g2972
VPythonForm
p3612
I0
tp3613
(dp3614
g6
VPythonForm[Infinity]
p3615
sg8
(lp3616
(dp3617
g11
(lp3618
sg13
V\u005ctext{math.inf}
p3619
sg15
I1
sass(g1696
g2972
g3612
I1
tp3620
(dp3621
g6
VPythonForm[Pi]
p3622
sg8
(lp3623
(dp3624
g11
(lp3625
sg13
V\u005ctext{sympy.pi}
p3626
sg15
I2
sass(g1696
g2972
g3612
I2
tp3627
(dp3628
g6
VE // PythonForm
p3629
sg8
(lp3630
(dp3631
g11
(lp3632
sg13
V\u005ctext{sympy.E}
p3633
sg15
I3
sass(g1696
g2972
g3612
I3
tp3634
(dp3635
g6
V{1, 2, 3} // PythonForm
p3636
sg8
(lp3637
(dp3638
g11
(lp3639
sg13
V\u005ctext{[1, 2, 3]}
p3640
sg15
I4
sass(g1696
g2972
VQuiet
p3641
I0
tp3642
(dp3643
g6
Va::b = "Hello";
p3644
sg8
(lp3645
(dp3646
g11
(lp3647
sg13
Nsg15
I1
sass(g1696
g2972
g3641
I1
tp3648
(dp3649
g6
VQuiet[x+x, {a::b}]
p3650
sg8
(lp3651
(dp3652
g11
(lp3653
sg13
V2 x
p3654
sg15
I2
sass(g1696
g2972
g3641
I2
tp3655
(dp3656
g6
VQuiet[Message[a::b]; x+x, {a::b}]
p3657
sg8
(lp3658
(dp3659
g11
(lp3660
sg13
V2 x
p3661
sg15
I3
sass(g1696
g2972
g3641
I3
tp3662
(dp3663
g6
VMessage[a::b]; y=Quiet[Message[a::b]; x+x, {a::b}]; Message[a::b]; y
p3664
sg8
(lp3665
(dp3666
g11
(lp3667
(dp3668
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p3669
sg156
VHello
p3670
sa(dp3671
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p3672
sg156
g3670
sasg13
V2 x
p3673
sg15
I4
sass(g1696
g2972
g3641
I4
tp3674
(dp3675
g6
VQuiet[expr, All, All]
p3676
sg8
(lp3677
(dp3678
g11
(lp3679
(dp3680
g149
I01
sg150
VQuiet
p3681
sg152
Vallall
p3682
sg154
VQuiet::allall
p3683
sg156
VArguments 2 and 3 of Quiet[expr, All, All] should not both be All.
p3684
sasg13
V\u005ctext{Quiet}\u005cleft[\u005ctext{expr},\u005ctext{All},\u005ctext{All}\u005cright]
p3685
sg15
I5
sass(g1696
g2972
g3641
I5
tp3686
(dp3687
g6
VQuiet[x + x, {a::b}, {a::b}]
p3688
sg8
(lp3689
(dp3690
g11
(lp3691
(dp3692
g149
I01
sg150
VQuiet
p3693
sg152
Vconflict
p3694
sg154
VQuiet::conflict
p3695
sg156
VIn Quiet[x + x, {a::b}, {a::b}] the message name(s) {a::b} appear in both the list of messages to switch off and the list of messages to switch on.
p3696
sasg13
V\u005ctext{Quiet}\u005cleft[x+x,\u005cleft\u005c{a\u005ctext{::}\u005ctext{b}\u005cright\u005c},\u005cleft\u005c{a\u005ctext{::}\u005ctext{b}\u005cright\u005c}\u005cright]
p3697
sg15
I6
sass(g1696
g2972
VStandardForm
p3698
I0
tp3699
(dp3700
g6
VStandardForm[a + b * c]
p3701
sg8
(lp3702
(dp3703
g11
(lp3704
sg13
Va+b c
p3705
sg15
I1
sass(g1696
g2972
g3698
I1
tp3706
(dp3707
g6
VStandardForm["A string"]
p3708
sg8
(lp3709
(dp3710
g11
(lp3711
sg13
V\u005ctext{A string}
p3712
sg15
I2
sass(g1696
g2972
g3698
I2
tp3713
(dp3714
g6
V"A string"
p3715
sg8
(lp3716
(dp3717
g11
(lp3718
sg13
V\u005ctext{A string}
p3719
sg15
I3
sass(g1696
g2972
g3698
I3
tp3720
(dp3721
g6
Vf'[x]
p3722
sg8
(lp3723
(dp3724
g11
(lp3725
sg13
Vf'\u005cleft[x\u005cright]
p3726
sg15
I4
sass(g1696
g2972
VStringForm
p3727
I0
tp3728
(dp3729
g6
VStringForm["`1` bla `2` blub `` bla `2`", a, b, c]
p3730
sg8
(lp3731
(dp3732
g11
(lp3733
sg13
Va\u005ctext{ bla }b\u005ctext{ blub }c\u005ctext{ bla }b
p3734
sg15
I1
sass(g1696
g2972
VSubscript
p3735
I0
tp3736
(dp3737
g6
VSubscript[x,1,2,3] // TeXForm
p3738
sg8
(lp3739
(dp3740
g11
(lp3741
sg13
V\u005ctext{x\u005c_\u005c{1,2,3\u005c}}
p3742
sg15
I1
sass(g1696
g2972
VSubsuperscript
p3743
I0
tp3744
(dp3745
g6
VSubsuperscript[a, b, c] // TeXForm
p3746
sg8
(lp3747
(dp3748
g11
(lp3749
sg13
V\u005ctext{a\u005c_b${}^{\u005cwedge}$c}
p3750
sg15
I1
sass(g1696
g2972
VSuperscript
p3751
I0
tp3752
(dp3753
g6
VSuperscript[x,3] // TeXForm
p3754
sg8
(lp3755
(dp3756
g11
(lp3757
sg13
V\u005ctext{x${}^{\u005cwedge}$3}
p3758
sg15
I1
sass(g1696
g2972
VSympyForm
p3759
I0
tp3760
(dp3761
g6
VSympyForm[Pi^2]
p3762
sg8
(lp3763
(dp3764
g11
(lp3765
sg13
V\u005ctext{pi**2}
p3766
sg15
I1
sass(g1696
g2972
g3759
I1
tp3767
(dp3768
g6
VE^2 + 3E // SympyForm
p3769
sg8
(lp3770
(dp3771
g11
(lp3772
sg13
V\u005ctext{exp(2) + 3*E}
p3773
sg15
I2
sass(g1696
g2972
VSyntax
p3774
I0
tp3775
(dp3776
g6
V1 +
p3777
sg8
(lp3778
ss(g1696
g2972
g3774
I1
tp3779
(dp3780
g6
VSin[1)
p3781
sg8
(lp3782
ss(g1696
g2972
g3774
I2
tp3783
(dp3784
g6
V^ 2
p3785
sg8
(lp3786
ss(g1696
g2972
g3774
I3
tp3787
(dp3788
g6
V1.5``
p3789
sg8
(lp3790
ss(g1696
g2972
VTableForm
p3791
I0
tp3792
(dp3793
g6
VTableForm[Array[a, {3,2}],TableDepth->1]
p3794
sg8
(lp3795
(dp3796
g11
(lp3797
sg13
V\u005cbegin{array}{c} \u005cleft\u005c{a\u005cleft[1,1\u005cright],a\u005cleft[1,2\u005cright]\u005cright\u005c}\u005c\u005c \u005cleft\u005c{a\u005cleft[2,1\u005cright],a\u005cleft[2,2\u005cright]\u005cright\u005c}\u005c\u005c \u005cleft\u005c{a\u005cleft[3,1\u005cright],a\u005cleft[3,2\u005cright]\u005cright\u005c}\u005cend{array}
p3798
sg15
I1
sass(g1696
g2972
g3791
I1
tp3799
(dp3800
g6
VTable[Style[Graphics[{EdgeForm[{Black}], RGBColor[r,g,b], Rectangle[]}], ImageSizeMultipliers->{0.2, 1}], {r,0,1,1/2}, {g,0,1,1/2}, {b,0,1,1/2}] // TableForm
p3801
sg8
(lp3802
(dp3803
g11
(lp3804
sg13
V\u005cbegin{array}{ccc} \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 0, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array} & \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 0.5, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 0.5, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array} & \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 1, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array}\u005c\u005c \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 0, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array} & \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 0.5, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 0.5, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array} & \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 1, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(0.5, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array}\u005c\u005c \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 0, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array} & \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 0.5, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 0.5, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array} & \u005cbegin{array}{c} \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 1, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005c\u005c \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(1.1667cm, 1.1667cm);\u000afilldraw((0,0)--(70,0)--(70,70)--(0,70)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (70.333,70.333)));\u000a\u005cend{asy}\u000a\u005cend{array}\u005cend{array}
p3805
sg15
I2
sass(g1696
g2972
VTeXForm
p3806
I0
tp3807
(dp3808
g6
VTeXForm[HoldForm[Sqrt[a^3]]]
p3809
sg8
(lp3810
(dp3811
g11
(lp3812
sg13
V\u005ctext{$\u005cbackslash$sqrt\u005c{a${}^{\u005cwedge}$3\u005c}}
p3813
sg15
I1
sass(g1696
g2972
VToBoxes
p3814
I0
tp3815
(dp3816
g6
VToBoxes[a + a]
p3817
sg8
(lp3818
(dp3819
g11
(lp3820
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{2},\u005ctext{ },\u005ctext{a}\u005cright\u005c}\u005cright]
p3821
sg15
I1
sass(g1696
g2972
g3814
I1
tp3822
(dp3823
g6
VToBoxes[a + b]
p3824
sg8
(lp3825
(dp3826
g11
(lp3827
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{a},\u005ctext{+},\u005ctext{b}\u005cright\u005c}\u005cright]
p3828
sg15
I2
sass(g1696
g2972
g3814
I2
tp3829
(dp3830
g6
VToBoxes[a ^ b] // FullForm
p3831
sg8
(lp3832
(dp3833
g11
(lp3834
sg13
V\u005ctext{SuperscriptBox}\u005cleft[\u005ctext{"a"}, \u005ctext{"b"}\u005cright]
p3835
sg15
I3
sass(g1696
g2972
V$UseSansSerif
p3836
I0
tp3837
(dp3838
g6
V$UseSansSerif
p3839
sg8
(lp3840
(dp3841
g11
(lp3842
sg13
V\u005ctext{True}
p3843
sg15
I1
sass(g1696
g2972
g3836
I1
tp3844
(dp3845
g6
V$UseSansSerif = False
p3846
sg8
(lp3847
(dp3848
g11
(lp3849
sg13
V\u005ctext{False}
p3850
sg15
I2
sass(g1696
VPlotting
p3851
VAxis
p3852
I0
tp3853
(dp3854
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Axis]
p3855
sg8
(lp3856
(dp3857
g11
(lp3858
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,231.632)--(36.364,233.728)--(54.545,208.862)--(72.727,163.123)--(90.909,107.709)--(109.09,56.1877)--(127.27,21.1726)--(145.45,11.237)--(163.64,28.8134)--(181.82,69.5985)--(200,123.607)--(218.18,177.615)--(236.36,218.4)--(254.55,235.977)--(272.73,226.041)--(290.91,191.026)--(309.09,139.504)--(327.27,84.0904)--(345.45,38.3515)--(363.64,13.4861)--(381.82,15.582), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000afilldraw((18.182,231.63)--(36.364,233.73)--(54.545,208.86)--(72.727,163.12)--(90.909,107.71)--(109.09,56.188)--(127.27,21.173)--(145.45,11.237)--(163.64,28.813)--(181.82,69.599)--(200,123.61)--(218.18,177.62)--(236.36,218.4)--(254.55,235.98)--(272.73,226.04)--(290.91,191.03)--(309.09,139.5)--(327.27,84.09)--(345.45,38.351)--(363.64,13.486)--(381.82,15.582)--(381.82,123.61)--(18.182,123.61)--cycle, rgb(0.2472, 0.24, 0.6)+opacity(0.2), nullpen);\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (90.9090909090909,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (181.8181818181818,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$15$", (272.72727272727275,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$20$", (363.6363636363636,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000adraw((90.909,123.607)--(90.909,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((181.82,123.607)--(181.82,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((272.73,123.607)--(272.73,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((363.64,123.607)--(363.64,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,123.607)--(18.182,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((36.364,123.607)--(36.364,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((54.545,123.607)--(54.545,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((72.727,123.607)--(72.727,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((109.09,123.607)--(109.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((127.27,123.607)--(127.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((145.45,123.607)--(145.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((163.64,123.607)--(163.64,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,123.607)--(200,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((218.18,123.607)--(218.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((236.36,123.607)--(236.36,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((254.55,123.607)--(254.55,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((290.91,123.607)--(290.91,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((309.09,123.607)--(309.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((327.27,123.607)--(327.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((345.45,123.607)--(345.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,123.607)--(381.82,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,10.954786817167548), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.28079228357325), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.93280321638466), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,236.25880868279035), (-1,0), rgb(0, 0, 0));\u000adraw((0,10.9548)--(6.6667,10.9548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.2808)--(6.6667,67.2808), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.933)--(6.6667,179.933), rgb(0, 0, 0)+linewidth(0.66667));draw((0,236.259)--(6.6667,236.259), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-0.310414)--(4,-0.310414), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.22)--(4,22.22), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.4852)--(4,33.4852), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.7504)--(4,44.7504), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.0156)--(4,56.0156), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.546)--(4,78.546), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8112)--(4,89.8112), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.076)--(4,101.076), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.342)--(4,112.342), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.872)--(4,134.872), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.137)--(4,146.137), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.402)--(4,157.402), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.668)--(4,168.668), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.198)--(4,191.198), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.463)--(4,202.463), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.728)--(4,213.728), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.994)--(4,224.994), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.524)--(4,247.524), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3859
sg15
I1
sass(g1696
g3851
VBarChart
p3860
I0
tp3861
(dp3862
g6
VBarChart[{1, 4, 2}]
p3863
sg8
(lp3864
(dp3865
g11
(lp3866
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000afilldraw((33.766,0)--(150.65,0)--(150.65,61.803)--(33.766,61.803)--cycle, rgb(0.44706, 0.79216, 0.86667), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((158.44,0)--(275.32,0)--(275.32,247.21)--(158.44,247.21)--cycle, rgb(0.44706, 0.79216, 0.86667), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((283.12,0)--(400,0)--(400,123.61)--(283.12,123.61)--cycle, rgb(0.44706, 0.79216, 0.86667), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((12.987,    0)--(400,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((33.766,    0)--(33.766,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((400,    0)--(400,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((0,-13.611), (400,260.82)));\u000adraw((12.987,-12.9443)--(12.987,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (10.32034632034632,61.803398874989476), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (10.32034632034632,123.60679774997895), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (10.32034632034632,185.41019662496842), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (10.32034632034632,247.2135954999579), (-1,0), rgb(0, 0, 0));\u000adraw((12.987,61.8034)--(19.654,61.8034), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,123.607)--(19.654,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,185.41)--(19.654,185.41), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,247.214)--(19.654,247.214), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,12.3607)--(16.987,12.3607), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,24.7214)--(16.987,24.7214), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,37.082)--(16.987,37.082), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,49.4427)--(16.987,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,74.1641)--(16.987,74.1641), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,86.5248)--(16.987,86.5248), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,98.8854)--(16.987,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,111.246)--(16.987,111.246), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,135.967)--(16.987,135.967), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,148.328)--(16.987,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,160.689)--(16.987,160.689), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,173.05)--(16.987,173.05), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,197.771)--(16.987,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,210.132)--(16.987,210.132), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,222.492)--(16.987,222.492), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,234.853)--(16.987,234.853), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3867
sg15
I1
sass(g1696
g3851
g3860
I1
tp3868
(dp3869
g6
VBarChart[{1, 4, 2}, ChartStyle -> {Red, Green, Blue}]
p3870
sg8
(lp3871
(dp3872
g11
(lp3873
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000afilldraw((33.766,0)--(150.65,0)--(150.65,61.803)--(33.766,61.803)--cycle, rgb(1, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((158.44,0)--(275.32,0)--(275.32,247.21)--(158.44,247.21)--cycle, rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((283.12,0)--(400,0)--(400,123.61)--(283.12,123.61)--cycle, rgb(0, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((12.987,    0)--(400,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((33.766,    0)--(33.766,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((400,    0)--(400,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((0,-13.611), (400,260.82)));\u000adraw((12.987,-12.9443)--(12.987,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (10.32034632034632,61.803398874989476), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (10.32034632034632,123.60679774997895), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (10.32034632034632,185.41019662496842), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (10.32034632034632,247.2135954999579), (-1,0), rgb(0, 0, 0));\u000adraw((12.987,61.8034)--(19.654,61.8034), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,123.607)--(19.654,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,185.41)--(19.654,185.41), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,247.214)--(19.654,247.214), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,12.3607)--(16.987,12.3607), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,24.7214)--(16.987,24.7214), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,37.082)--(16.987,37.082), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,49.4427)--(16.987,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,74.1641)--(16.987,74.1641), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,86.5248)--(16.987,86.5248), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,98.8854)--(16.987,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,111.246)--(16.987,111.246), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,135.967)--(16.987,135.967), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,148.328)--(16.987,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,160.689)--(16.987,160.689), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,173.05)--(16.987,173.05), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,197.771)--(16.987,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,210.132)--(16.987,210.132), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,222.492)--(16.987,222.492), rgb(0, 0, 0)+linewidth(0.66667));draw((12.987,234.853)--(16.987,234.853), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3874
sg15
I2
sass(g1696
g3851
g3860
I2
tp3875
(dp3876
g6
VBarChart[{{1, 2, 3}, {2, 3, 4}}]
p3877
sg8
(lp3878
(dp3879
g11
(lp3880
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000afilldraw((16.883,0)--(75.325,0)--(75.325,61.803)--(16.883,61.803)--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((79.221,0)--(137.66,0)--(137.66,123.61)--(79.221,123.61)--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((141.56,0)--(200,0)--(200,185.41)--(141.56,185.41)--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((216.88,0)--(275.32,0)--(275.32,123.61)--(216.88,123.61)--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((279.22,0)--(337.66,0)--(337.66,185.41)--(279.22,185.41)--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((341.56,0)--(400,0)--(400,247.21)--(341.56,247.21)--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((6.4935,    0)--(400,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((16.883,    0)--(16.883,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(200,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((216.88,    0)--(216.88,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((400,    0)--(400,-12.3607), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-3.1732,-13.611), (400,260.82)));\u000adraw((6.4935,-12.9443)--(6.4935,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (3.826839826839827,61.803398874989476), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (3.826839826839827,123.60679774997895), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (3.826839826839827,185.41019662496842), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (3.826839826839827,247.2135954999579), (-1,0), rgb(0, 0, 0));\u000adraw((6.4935,61.8034)--(13.16,61.8034), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,123.607)--(13.16,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,185.41)--(13.16,185.41), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,247.214)--(13.16,247.214), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,12.3607)--(10.494,12.3607), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,24.7214)--(10.494,24.7214), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,37.082)--(10.494,37.082), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,49.4427)--(10.494,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,74.1641)--(10.494,74.1641), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,86.5248)--(10.494,86.5248), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,98.8854)--(10.494,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,111.246)--(10.494,111.246), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,135.967)--(10.494,135.967), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,148.328)--(10.494,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,160.689)--(10.494,160.689), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,173.05)--(10.494,173.05), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,197.771)--(10.494,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,210.132)--(10.494,210.132), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,222.492)--(10.494,222.492), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,234.853)--(10.494,234.853), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3881
sg15
I3
sass(g1696
g3851
g3860
I3
tp3882
(dp3883
g6
VBarChart[{{1, 2, 3}, {2, 3, 4}}, ChartLabels -> {"a", "b", "c"}]
p3884
sg8
(lp3885
(dp3886
g11
(lp3887
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000afilldraw((16.883,22.474)--(75.325,22.474)--(75.325,78.659)--(16.883,78.659)--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((79.221,22.474)--(137.66,22.474)--(137.66,134.84)--(79.221,134.84)--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((141.56,22.474)--(200,22.474)--(200,191.03)--(141.56,191.03)--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((216.88,22.474)--(275.32,22.474)--(275.32,134.84)--(216.88,134.84)--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((279.22,22.474)--(337.66,22.474)--(337.66,191.03)--(279.22,191.03)--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((341.56,22.474)--(400,22.474)--(400,247.21)--(341.56,247.21)--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((6.4935,22.474)--(400,22.474), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((16.883,22.474)--(16.883,11.237), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,22.474)--(200,11.237), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((216.88,22.474)--(216.88,11.237), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((400,22.474)--(400,11.237), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$\u005ctext{a}$", (46.103896103896105,11.23698161363445), (0,0), rgb(0, 0, 0));\u000alabel("$\u005ctext{b}$", (108.44155844155846,11.23698161363445), (0,0), rgb(0, 0, 0));\u000alabel("$\u005ctext{c}$", (170.77922077922082,11.23698161363445), (0,0), rgb(0, 0, 0));\u000alabel("$\u005ctext{a}$", (246.10389610389615,11.23698161363445), (0,0), rgb(0, 0, 0));\u000alabel("$\u005ctext{b}$", (308.4415584415584,11.23698161363445), (0,0), rgb(0, 0, 0));\u000alabel("$\u005ctext{c}$", (370.7792207792208,11.23698161363445), (0,0), rgb(0, 0, 0));\u000aclip(box((-3.1732,-13.611), (400,260.82)));\u000adraw((6.4935,-12.9443)--(6.4935,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (3.826839826839827,78.65887129544114), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (3.826839826839827,134.8437793636134), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (3.826839826839827,191.0286874317856), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (3.826839826839827,247.2135954999579), (-1,0), rgb(0, 0, 0));\u000adraw((6.4935,78.6589)--(13.16,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,134.844)--(13.16,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,191.029)--(13.16,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,247.214)--(13.16,247.214), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,    0)--(10.494,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,11.237)--(10.494,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,33.7109)--(10.494,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,44.9479)--(10.494,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,56.1849)--(10.494,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,67.4219)--(10.494,67.4219), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,89.8959)--(10.494,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,101.133)--(10.494,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,112.37)--(10.494,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,123.607)--(10.494,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,146.081)--(10.494,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,157.318)--(10.494,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,168.555)--(10.494,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,179.792)--(10.494,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,202.266)--(10.494,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,213.503)--(10.494,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,224.74)--(10.494,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((6.4935,235.977)--(10.494,235.977), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3888
sg15
I4
sass(g1696
g3851
g3860
I4
tp3889
(dp3890
g6
VBarChart[{{1, 5}, {3, 4}}, ChartStyle -> {{EdgeForm[Thin], White}, {EdgeForm[Thick], White}}]
p3891
sg8
(lp3892
(dp3893
g11
(lp3894
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000afilldraw((24.528,0)--(109.43,0)--(109.43,49.443)--(24.528,49.443)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((115.09,0)--(200,0)--(200,247.21)--(115.09,247.21)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(2.6667));\u000afilldraw((224.53,0)--(309.43,0)--(309.43,148.33)--(224.53,148.33)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((315.09,0)--(400,0)--(400,197.77)--(315.09,197.77)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(2.6667));\u000adraw((9.434,    0)--(400,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((24.528,    0)--(24.528,-9.88854), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(200,-9.88854), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((224.53,    0)--(224.53,-9.88854), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((400,    0)--(400,-9.88854), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.2327,-13.611), (400,260.82)));\u000adraw((9.434,-12.9443)--(9.434,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (6.767295597484276,49.44271909999158), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (6.767295597484276,98.88543819998316), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (6.767295597484276,148.32815729997475), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (6.767295597484276,197.7708763999663), (-1,0), rgb(0, 0, 0));\u000alabel("$5$", (6.767295597484276,247.2135954999579), (-1,0), rgb(0, 0, 0));\u000adraw((9.434,49.4427)--(16.101,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,98.8854)--(16.101,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,148.328)--(16.101,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,197.771)--(16.101,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,247.214)--(16.101,247.214), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,9.88854)--(13.434,9.88854), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,19.7771)--(13.434,19.7771), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,29.6656)--(13.434,29.6656), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,39.5542)--(13.434,39.5542), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,59.3313)--(13.434,59.3313), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,69.2198)--(13.434,69.2198), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,79.1084)--(13.434,79.1084), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,88.9969)--(13.434,88.9969), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,108.774)--(13.434,108.774), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,118.663)--(13.434,118.663), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,128.551)--(13.434,128.551), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,138.44)--(13.434,138.44), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,158.217)--(13.434,158.217), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,168.105)--(13.434,168.105), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,177.994)--(13.434,177.994), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,187.882)--(13.434,187.882), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,207.659)--(13.434,207.659), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,217.548)--(13.434,217.548), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,227.437)--(13.434,227.437), rgb(0, 0, 0)+linewidth(0.66667));draw((9.434,237.325)--(13.434,237.325), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3895
sg15
I5
sass(g1696
g3851
VBottom
p3896
I0
tp3897
(dp3898
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Bottom]
p3899
sg8
(lp3900
(dp3901
g11
(lp3902
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,231.632)--(36.364,233.728)--(54.545,208.862)--(72.727,163.123)--(90.909,107.709)--(109.09,56.1877)--(127.27,21.1726)--(145.45,11.237)--(163.64,28.8134)--(181.82,69.5985)--(200,123.607)--(218.18,177.615)--(236.36,218.4)--(254.55,235.977)--(272.73,226.041)--(290.91,191.026)--(309.09,139.504)--(327.27,84.0904)--(345.45,38.3515)--(363.64,13.4861)--(381.82,15.582), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000afilldraw((18.182,231.63)--(36.364,233.73)--(54.545,208.86)--(72.727,163.12)--(90.909,107.71)--(109.09,56.188)--(127.27,21.173)--(145.45,11.237)--(163.64,28.813)--(181.82,69.599)--(200,123.61)--(218.18,177.62)--(236.36,218.4)--(254.55,235.98)--(272.73,226.04)--(290.91,191.03)--(309.09,139.5)--(327.27,84.09)--(345.45,38.351)--(363.64,13.486)--(381.82,15.582)--(381.82,0)--(18.182,0)--cycle, rgb(0.2472, 0.24, 0.6)+opacity(0.2), nullpen);\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (90.9090909090909,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (181.8181818181818,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$15$", (272.72727272727275,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$20$", (363.6363636363636,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000adraw((90.909,123.607)--(90.909,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((181.82,123.607)--(181.82,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((272.73,123.607)--(272.73,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((363.64,123.607)--(363.64,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,123.607)--(18.182,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((36.364,123.607)--(36.364,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((54.545,123.607)--(54.545,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((72.727,123.607)--(72.727,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((109.09,123.607)--(109.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((127.27,123.607)--(127.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((145.45,123.607)--(145.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((163.64,123.607)--(163.64,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,123.607)--(200,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((218.18,123.607)--(218.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((236.36,123.607)--(236.36,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((254.55,123.607)--(254.55,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((290.91,123.607)--(290.91,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((309.09,123.607)--(309.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((327.27,123.607)--(327.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((345.45,123.607)--(345.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,123.607)--(381.82,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,10.954786817167548), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.28079228357325), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.93280321638466), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,236.25880868279035), (-1,0), rgb(0, 0, 0));\u000adraw((0,10.9548)--(6.6667,10.9548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.2808)--(6.6667,67.2808), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.933)--(6.6667,179.933), rgb(0, 0, 0)+linewidth(0.66667));draw((0,236.259)--(6.6667,236.259), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-0.310414)--(4,-0.310414), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.22)--(4,22.22), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.4852)--(4,33.4852), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.7504)--(4,44.7504), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.0156)--(4,56.0156), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.546)--(4,78.546), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8112)--(4,89.8112), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.076)--(4,101.076), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.342)--(4,112.342), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.872)--(4,134.872), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.137)--(4,146.137), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.402)--(4,157.402), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.668)--(4,168.668), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.198)--(4,191.198), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.463)--(4,202.463), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.728)--(4,213.728), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.994)--(4,224.994), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.524)--(4,247.524), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3903
sg15
I1
sass(g1696
g3851
VColorData
p3904
I0
tp3905
(dp3906
g6
VUnprotect[ColorData]; ColorData["test"] := ColorDataFunction["test", "Gradients", {0, 1}, Blend[{Red, Green, Blue}, #1] &]; Protect[ColorData]
p3907
sg8
(lp3908
(dp3909
g11
(lp3910
sg13
Nsg15
I1
sass(g1696
g3851
g3904
I1
tp3911
(dp3912
g6
V{DensityPlot[x + y, {x, -1, 1}, {y, -1, 1}], DensityPlot[x + y, {x, -1, 1}, {y, -1, 1}, ColorFunction->"test"]}
p3913
sg8
(lp3914
(dp3915
g11
(lp3916
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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nullpen);filldraw((150,250)--(150,300)--(200,250)--cycle, nullpen, nullpen);filldraw((150,300)--(200,250)--(200,300)--cycle, nullpen, nullpen);filldraw((150,300)--(150,350)--(200,300)--cycle, nullpen, nullpen);filldraw((150,350)--(200,300)--(200,350)--cycle, nullpen, nullpen);filldraw((200,0)--(200,50)--(250,0)--cycle, nullpen, nullpen);filldraw((200,50)--(250,0)--(250,50)--cycle, nullpen, nullpen);filldraw((200,50)--(200,100)--(250,50)--cycle, nullpen, nullpen);filldraw((200,100)--(250,50)--(250,100)--cycle, nullpen, nullpen);filldraw((200,100)--(200,150)--(250,100)--cycle, nullpen, nullpen);filldraw((200,150)--(250,100)--(250,150)--cycle, nullpen, nullpen);filldraw((200,150)--(200,200)--(250,150)--cycle, nullpen, nullpen);filldraw((200,200)--(250,150)--(250,200)--cycle, nullpen, nullpen);filldraw((200,200)--(200,250)--(250,200)--cycle, nullpen, nullpen);filldraw((200,250)--(250,200)--(250,250)--cycle, nullpen, nullpen);filldraw((200,250)--(200,300)--(250,250)--cycle, nullpen, nullpen);filldraw((200,300)--(250,250)--(250,300)--cycle, nullpen, nullpen);filldraw((200,300)--(200,350)--(250,300)--cycle, nullpen, nullpen);filldraw((200,350)--(250,300)--(250,350)--cycle, nullpen, nullpen);filldraw((250,0)--(250,50)--(300,0)--cycle, nullpen, nullpen);filldraw((250,50)--(300,0)--(300,50)--cycle, nullpen, nullpen);filldraw((250,50)--(250,100)--(300,50)--cycle, nullpen, nullpen);filldraw((250,100)--(300,50)--(300,100)--cycle, nullpen, nullpen);filldraw((250,100)--(250,150)--(300,100)--cycle, nullpen, nullpen);filldraw((250,150)--(300,100)--(300,150)--cycle, nullpen, nullpen);filldraw((250,150)--(250,200)--(300,150)--cycle, nullpen, nullpen);filldraw((250,200)--(300,150)--(300,200)--cycle, nullpen, nullpen);filldraw((250,200)--(250,250)--(300,200)--cycle, nullpen, nullpen);filldraw((250,250)--(300,200)--(300,250)--cycle, nullpen, nullpen);filldraw((250,250)--(250,300)--(300,250)--cycle, nullpen, nullpen);filldraw((250,300)--(300,250)--(300,300)--cycle, nullpen, nullpen);filldraw((250,300)--(250,350)--(300,300)--cycle, nullpen, nullpen);filldraw((250,350)--(300,300)--(300,350)--cycle, nullpen, nullpen);filldraw((300,0)--(300,50)--(350,0)--cycle, nullpen, nullpen);filldraw((300,50)--(350,0)--(350,50)--cycle, nullpen, nullpen);filldraw((300,50)--(300,100)--(350,50)--cycle, nullpen, nullpen);filldraw((300,100)--(350,50)--(350,100)--cycle, nullpen, nullpen);filldraw((300,100)--(300,150)--(350,100)--cycle, nullpen, nullpen);filldraw((300,150)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((300,150)--(300,200)--(350,150)--cycle, nullpen, nullpen);filldraw((300,200)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((300,200)--(300,250)--(350,200)--cycle, nullpen, nullpen);filldraw((300,250)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((300,250)--(300,300)--(350,250)--cycle, nullpen, nullpen);filldraw((300,300)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((300,300)--(300,350)--(350,300)--cycle, nullpen, nullpen);filldraw((300,350)--(350,300)--(350,350)--cycle, nullpen, nullpen);\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a\u005cright\u005c}
p3917
sg15
I2
sass(g1696
g3851
VDensityPlot
p3918
I0
tp3919
(dp3920
g6
VDensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p3921
sg8
(lp3922
(dp3923
g11
(lp3924
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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p3925
sg15
I1
sass(g1696
g3851
g3918
I1
tp3926
(dp3927
g6
VDensityPlot[1 / x, {x, 0, 1}, {y, 0, 1}]
p3928
sg8
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g11
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sg13
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nullpen);filldraw((175,150)--(175,200)--(233.33,150)--cycle, nullpen, nullpen);filldraw((175,200)--(233.33,150)--(233.33,200)--cycle, nullpen, nullpen);filldraw((175,200)--(175,250)--(233.33,200)--cycle, nullpen, nullpen);filldraw((175,250)--(233.33,200)--(233.33,250)--cycle, nullpen, nullpen);filldraw((175,250)--(175,300)--(233.33,250)--cycle, nullpen, nullpen);filldraw((175,300)--(233.33,250)--(233.33,300)--cycle, nullpen, nullpen);filldraw((175,300)--(175,350)--(233.33,300)--cycle, nullpen, nullpen);filldraw((175,350)--(233.33,300)--(233.33,350)--cycle, nullpen, nullpen);filldraw((233.33,0)--(233.33,50)--(291.67,0)--cycle, nullpen, nullpen);filldraw((233.33,50)--(291.67,0)--(291.67,50)--cycle, nullpen, nullpen);filldraw((233.33,50)--(233.33,100)--(291.67,50)--cycle, nullpen, nullpen);filldraw((233.33,100)--(291.67,50)--(291.67,100)--cycle, nullpen, nullpen);filldraw((233.33,100)--(233.33,150)--(291.67,100)--cycle, nullpen, 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nullpen);filldraw((291.67,100)--(291.67,150)--(350,100)--cycle, nullpen, nullpen);filldraw((291.67,150)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((291.67,150)--(291.67,200)--(350,150)--cycle, nullpen, nullpen);filldraw((291.67,200)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((291.67,200)--(291.67,250)--(350,200)--cycle, nullpen, nullpen);filldraw((291.67,250)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((291.67,250)--(291.67,300)--(350,250)--cycle, nullpen, nullpen);filldraw((291.67,300)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((291.67,300)--(291.67,350)--(350,300)--cycle, nullpen, nullpen);filldraw((291.67,350)--(350,300)--(350,350)--cycle, nullpen, nullpen);\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p3932
sg15
I2
sass(g1696
g3851
g3918
I2
tp3933
(dp3934
g6
VDensityPlot[Sqrt[x * y], {x, -1, 1}, {y, -1, 1}]
p3935
sg8
(lp3936
(dp3937
g11
(lp3938
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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nullpen);filldraw((200,300)--(200,350)--(250,300)--cycle, nullpen, nullpen);filldraw((200,350)--(250,300)--(250,350)--cycle, nullpen, nullpen);filldraw((250,200)--(250,250)--(300,200)--cycle, nullpen, nullpen);filldraw((250,250)--(300,200)--(300,250)--cycle, nullpen, nullpen);filldraw((250,250)--(250,300)--(300,250)--cycle, nullpen, nullpen);filldraw((250,300)--(300,250)--(300,300)--cycle, nullpen, nullpen);filldraw((250,300)--(250,350)--(300,300)--cycle, nullpen, nullpen);filldraw((250,350)--(300,300)--(300,350)--cycle, nullpen, nullpen);filldraw((300,200)--(300,250)--(350,200)--cycle, nullpen, nullpen);filldraw((300,250)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((300,250)--(300,300)--(350,250)--cycle, nullpen, nullpen);filldraw((300,300)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((300,300)--(300,350)--(350,300)--cycle, nullpen, nullpen);filldraw((300,350)--(350,300)--(350,350)--cycle, nullpen, nullpen);\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p3939
sg15
I3
sass(g1696
g3851
g3918
I3
tp3940
(dp3941
g6
VDensityPlot[1/(x^2 + y^2 + 1), {x, -1, 1}, {y, -2,2}, Mesh->Full]
p3942
sg8
(lp3943
(dp3944
g11
(lp3945
sg13
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nullpen, nullpen);filldraw((50,150)--(50,200)--(100,150)--cycle, nullpen, nullpen);filldraw((50,200)--(100,150)--(100,200)--cycle, nullpen, nullpen);filldraw((50,200)--(100,200)--(100,250)--cycle, nullpen, nullpen);filldraw((50,200)--(50,250)--(100,250)--cycle, nullpen, nullpen);filldraw((50,250)--(100,250)--(100,300)--cycle, nullpen, nullpen);filldraw((50,250)--(50,300)--(100,300)--cycle, nullpen, nullpen);filldraw((50,300)--(100,300)--(100,350)--cycle, nullpen, nullpen);filldraw((50,300)--(50,350)--(100,350)--cycle, nullpen, nullpen);filldraw((100,0)--(100,50)--(150,0)--cycle, nullpen, nullpen);filldraw((100,50)--(150,0)--(150,50)--cycle, nullpen, nullpen);filldraw((100,50)--(100,100)--(150,50)--cycle, nullpen, nullpen);filldraw((100,100)--(150,50)--(150,100)--cycle, nullpen, nullpen);filldraw((100,100)--(100,150)--(150,100)--cycle, nullpen, nullpen);filldraw((100,150)--(150,100)--(150,150)--cycle, nullpen, nullpen);filldraw((100,150)--(100,200)--(150,150)--cycle, nullpen, nullpen);filldraw((100,200)--(150,150)--(150,200)--cycle, nullpen, nullpen);filldraw((100,200)--(150,200)--(150,250)--cycle, nullpen, nullpen);filldraw((100,200)--(100,250)--(150,250)--cycle, nullpen, nullpen);filldraw((100,250)--(150,250)--(150,300)--cycle, nullpen, nullpen);filldraw((100,250)--(100,300)--(150,300)--cycle, nullpen, nullpen);filldraw((100,300)--(150,300)--(150,350)--cycle, nullpen, nullpen);filldraw((100,300)--(100,350)--(150,350)--cycle, nullpen, nullpen);filldraw((150,0)--(150,50)--(200,0)--cycle, nullpen, nullpen);filldraw((150,50)--(200,0)--(200,50)--cycle, nullpen, nullpen);filldraw((150,50)--(150,100)--(200,50)--cycle, nullpen, nullpen);filldraw((150,100)--(200,50)--(200,100)--cycle, nullpen, nullpen);filldraw((150,100)--(150,150)--(200,100)--cycle, nullpen, nullpen);filldraw((150,150)--(200,100)--(200,150)--cycle, nullpen, nullpen);filldraw((150,150)--(150,200)--(200,150)--cycle, nullpen, nullpen);filldraw((150,200)--(200,150)--(200,200)--cycle, nullpen, 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nullpen);filldraw((200,250)--(250,200)--(250,250)--cycle, nullpen, nullpen);filldraw((200,250)--(200,300)--(250,250)--cycle, nullpen, nullpen);filldraw((200,300)--(250,250)--(250,300)--cycle, nullpen, nullpen);filldraw((200,300)--(200,350)--(250,300)--cycle, nullpen, nullpen);filldraw((200,350)--(250,300)--(250,350)--cycle, nullpen, nullpen);filldraw((250,0)--(300,0)--(300,50)--cycle, nullpen, nullpen);filldraw((250,0)--(250,50)--(300,50)--cycle, nullpen, nullpen);filldraw((250,50)--(300,50)--(300,100)--cycle, nullpen, nullpen);filldraw((250,50)--(250,100)--(300,100)--cycle, nullpen, nullpen);filldraw((250,100)--(300,100)--(300,150)--cycle, nullpen, nullpen);filldraw((250,100)--(250,150)--(300,150)--cycle, nullpen, nullpen);filldraw((250,150)--(300,150)--(300,200)--cycle, nullpen, nullpen);filldraw((250,150)--(250,200)--(300,200)--cycle, nullpen, nullpen);filldraw((250,200)--(250,250)--(300,200)--cycle, nullpen, nullpen);filldraw((250,250)--(300,200)--(300,250)--cycle, nullpen, nullpen);filldraw((250,250)--(250,300)--(300,250)--cycle, nullpen, nullpen);filldraw((250,300)--(300,250)--(300,300)--cycle, nullpen, nullpen);filldraw((250,300)--(250,350)--(300,300)--cycle, nullpen, nullpen);filldraw((250,350)--(300,300)--(300,350)--cycle, nullpen, nullpen);filldraw((300,0)--(350,0)--(350,50)--cycle, nullpen, nullpen);filldraw((300,0)--(300,50)--(350,50)--cycle, nullpen, nullpen);filldraw((300,50)--(350,50)--(350,100)--cycle, nullpen, nullpen);filldraw((300,50)--(300,100)--(350,100)--cycle, nullpen, nullpen);filldraw((300,100)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((300,100)--(300,150)--(350,150)--cycle, nullpen, nullpen);filldraw((300,150)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((300,150)--(300,200)--(350,200)--cycle, nullpen, nullpen);filldraw((300,200)--(300,250)--(350,200)--cycle, nullpen, nullpen);filldraw((300,250)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((300,250)--(300,300)--(350,250)--cycle, nullpen, nullpen);filldraw((300,300)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((300,300)--(300,350)--(350,300)--cycle, nullpen, nullpen);filldraw((300,350)--(350,300)--(350,350)--cycle, nullpen, nullpen);\u000adraw((0,    0)--(0,   50)--(0,  100)--(0,  150)--(0,  200)--(0,  250)--(0,  300)--(0,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,    0)--(50,   50)--(50,  100)--(50,  150)--(50,  200)--(50,  250)--(50,  300)--(50,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,    0)--(100,   50)--(100,  100)--(100,  150)--(100,  200)--(100,  250)--(100,  300)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,    0)--(150,   50)--(150,  100)--(150,  150)--(150,  200)--(150,  250)--(150,  300)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(200,   50)--(200,  100)--(200,  150)--(200,  200)--(200,  250)--(200,  300)--(200,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(250,   50)--(250,  100)--(250,  150)--(250,  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200)--(150,  200)--(200,  200)--(250,  200)--(300,  200)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(50,  250)--(100,  250)--(150,  250)--(200,  250)--(250,  250)--(300,  250)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(50,  300)--(100,  300)--(150,  300)--(200,  300)--(250,  300)--(300,  300)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  350)--(50,  350)--(100,  350)--(150,  350)--(200,  350)--(250,  350)--(300,  350)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p3946
sg15
I4
sass(g1696
g3851
g3918
I4
tp3947
(dp3948
g6
VDensityPlot[x^2 y, {x, -1, 1}, {y, -1, 1}, Mesh->All]
p3949
sg8
(lp3950
(dp3951
g11
(lp3952
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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200)--(300,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  200)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  300)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(50,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  150)--(200,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,    0)--(150,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  250)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  250)--(150,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,   50)--(50,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  250)--(50,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  150)--(300,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  150)--(150,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  100)--(50,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  150)--(50,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,   50)--(150,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  150)--(200,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  250)--(250,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,   50)--(200,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  350)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  250)--(200,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  150)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,    0)--(150,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  250)--(100,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  250)--(100,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,   50)--(200,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,   50)--(0,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  100)--(0,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  150)--(0,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(0,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(0,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  350)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  100)--(200,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  350)--(300,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  350)--(250,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  300)--(50,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  300)--(300,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(100,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  150)--(150,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,   50)--(250,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  350)--(250,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  350)--(200,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  150)--(100,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  300)--(100,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  150)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,   50)--(300,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,   50)--(300,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  300)--(300,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(0,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  250)--(150,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  300)--(150,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,   50)--(150,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  100)--(300,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  250)--(200,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  300)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  300)--(250,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  150)--(100,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,    0)--(350,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,   50)--(350,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  100)--(350,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  150)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  200)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  250)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  200)--(200,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,   50)--(250,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  250)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,    0)--(0,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(150,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  250)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,    0)--(100,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,   50)--(100,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  350)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(150,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(300,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,   50)--(300,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(50,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(50,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(100,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  250)--(300,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  350)--(300,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  100)--(150,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  300)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(250,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  300)--(200,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(200,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  300)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,   50)--(150,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,    0)--(50,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,   50)--(100,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,    0)--(300,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,   50)--(350,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,   50)--(350,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,    0)--(50,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  150)--(50,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  100)--(100,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  300)--(250,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  300)--(250,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(250,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(200,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(100,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  150)--(50,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(50,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  250)--(200,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(150,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  250)--(150,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  100)--(350,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  100)--(350,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  100)--(100,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,   50)--(200,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,   50)--(50,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  100)--(50,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(100,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  100)--(150,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  200)--(250,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  300)--(300,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(150,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  100)--(150,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  250)--(300,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(200,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  100)--(200,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(50,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  100)--(200,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  300)--(200,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,   50)--(50,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,    0)--(100,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  150)--(200,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(250,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(300,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  300)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  300)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,   50)--(100,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,   50)--(250,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  100)--(250,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  250)--(300,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(50,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(50,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  100)--(250,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  150)--(300,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  350)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  300)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  150)--(350,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  150)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(50,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  100)--(300,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  150)--(150,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,    0)--(200,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  200)--(300,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,    0)--(350,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(200,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,    0)--(350,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p3953
sg15
I5
sass(g1696
g3851
VFilling
p3954
I0
tp3955
(dp3956
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Axis]
p3957
sg8
(lp3958
(dp3959
g11
(lp3960
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,231.632)--(36.364,233.728)--(54.545,208.862)--(72.727,163.123)--(90.909,107.709)--(109.09,56.1877)--(127.27,21.1726)--(145.45,11.237)--(163.64,28.8134)--(181.82,69.5985)--(200,123.607)--(218.18,177.615)--(236.36,218.4)--(254.55,235.977)--(272.73,226.041)--(290.91,191.026)--(309.09,139.504)--(327.27,84.0904)--(345.45,38.3515)--(363.64,13.4861)--(381.82,15.582), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000afilldraw((18.182,231.63)--(36.364,233.73)--(54.545,208.86)--(72.727,163.12)--(90.909,107.71)--(109.09,56.188)--(127.27,21.173)--(145.45,11.237)--(163.64,28.813)--(181.82,69.599)--(200,123.61)--(218.18,177.62)--(236.36,218.4)--(254.55,235.98)--(272.73,226.04)--(290.91,191.03)--(309.09,139.5)--(327.27,84.09)--(345.45,38.351)--(363.64,13.486)--(381.82,15.582)--(381.82,123.61)--(18.182,123.61)--cycle, rgb(0.2472, 0.24, 0.6)+opacity(0.2), nullpen);\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (90.9090909090909,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (181.8181818181818,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$15$", (272.72727272727275,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$20$", (363.6363636363636,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000adraw((90.909,123.607)--(90.909,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((181.82,123.607)--(181.82,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((272.73,123.607)--(272.73,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((363.64,123.607)--(363.64,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,123.607)--(18.182,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((36.364,123.607)--(36.364,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((54.545,123.607)--(54.545,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((72.727,123.607)--(72.727,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((109.09,123.607)--(109.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((127.27,123.607)--(127.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((145.45,123.607)--(145.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((163.64,123.607)--(163.64,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,123.607)--(200,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((218.18,123.607)--(218.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((236.36,123.607)--(236.36,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((254.55,123.607)--(254.55,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((290.91,123.607)--(290.91,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((309.09,123.607)--(309.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((327.27,123.607)--(327.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((345.45,123.607)--(345.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,123.607)--(381.82,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,10.954786817167548), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.28079228357325), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.93280321638466), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,236.25880868279035), (-1,0), rgb(0, 0, 0));\u000adraw((0,10.9548)--(6.6667,10.9548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.2808)--(6.6667,67.2808), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.933)--(6.6667,179.933), rgb(0, 0, 0)+linewidth(0.66667));draw((0,236.259)--(6.6667,236.259), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-0.310414)--(4,-0.310414), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.22)--(4,22.22), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.4852)--(4,33.4852), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.7504)--(4,44.7504), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.0156)--(4,56.0156), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.546)--(4,78.546), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8112)--(4,89.8112), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.076)--(4,101.076), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.342)--(4,112.342), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.872)--(4,134.872), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.137)--(4,146.137), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.402)--(4,157.402), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.668)--(4,168.668), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.198)--(4,191.198), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.463)--(4,202.463), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.728)--(4,213.728), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.994)--(4,224.994), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.524)--(4,247.524), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3961
sg15
I1
sass(g1696
g3851
VHistogram
p3962
I0
tp3963
(dp3964
g6
VHistogram[{3, 8, 10, 100, 1000, 500, 300, 200, 10, 20, 200, 100, 200, 300, 500}]
p3965
sg8
(lp3966
(dp3967
g11
(lp3968
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000afilldraw((0.039996,0)--(133.36,0)--(133.36,247.21)--(0.039996,247.21)--cycle, rgb(0.88627, 0.78431, 0.6549), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((133.36,0)--(266.68,0)--(266.68,41.202)--(133.36,41.202)--cycle, rgb(0.88627, 0.78431, 0.6549), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((266.68,0)--(400,0)--(400,20.601)--(266.68,20.601)--cycle, rgb(0.88627, 0.78431, 0.6549), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0.039996,    0)--(400,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,    0)--(416,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$200$", (80.03199680031996,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$400$", (160.02399760023997,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$600$", (240.01599840016,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$800$", (320.00799920008,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$1000$", (400.0,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000adraw((80.032,    0)--(80.032,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((160.02,    0)--(160.02,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((240.02,    0)--(240.02,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((320.01,    0)--(320.01,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((400,    0)--(400,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((20.038,    0)--(20.038,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((40.036,    0)--(40.036,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((60.034,    0)--(60.034,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((100.03,    0)--(100.03,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((120.03,    0)--(120.03,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((140.03,    0)--(140.03,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((180.02,    0)--(180.02,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((200.02,    0)--(200.02,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((220.02,    0)--(220.02,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((260.01,    0)--(260.01,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((280.01,    0)--(280.01,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((300.01,    0)--(300.01,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((340.01,    0)--(340.01,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((360,    0)--(360,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((380,    0)--(380,    4), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0.039996,-12.9443)--(0.039996,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$2$", (-2.6266706662667065,41.20226591665965), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (-2.6266706662667065,82.4045318333193), (-1,0), rgb(0, 0, 0));\u000alabel("$6$", (-2.6266706662667065,123.60679774997895), (-1,0), rgb(0, 0, 0));\u000alabel("$8$", (-2.6266706662667065,164.8090636666386), (-1,0), rgb(0, 0, 0));\u000alabel("$10$", (-2.6266706662667065,206.01132958329825), (-1,0), rgb(0, 0, 0));\u000alabel("$12$", (-2.6266706662667065,247.2135954999579), (-1,0), rgb(0, 0, 0));\u000adraw((0.039996,41.2023)--(6.7067,41.2023), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,82.4045)--(6.7067,82.4045), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,123.607)--(6.7067,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,164.809)--(6.7067,164.809), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,206.011)--(6.7067,206.011), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,247.214)--(6.7067,247.214), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,10.3006)--(4.04,10.3006), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,20.6011)--(4.04,20.6011), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,30.9017)--(4.04,30.9017), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,51.5028)--(4.04,51.5028), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,61.8034)--(4.04,61.8034), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,72.104)--(4.04,72.104), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,92.7051)--(4.04,92.7051), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,103.006)--(4.04,103.006), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,113.306)--(4.04,113.306), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,133.907)--(4.04,133.907), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,144.208)--(4.04,144.208), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,154.508)--(4.04,154.508), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,175.11)--(4.04,175.11), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,185.41)--(4.04,185.41), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,195.711)--(4.04,195.711), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,216.312)--(4.04,216.312), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,226.612)--(4.04,226.612), rgb(0, 0, 0)+linewidth(0.66667));draw((0.039996,236.913)--(4.04,236.913), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3969
sg15
I1
sass(g1696
g3851
g3962
I1
tp3970
(dp3971
g6
VHistogram[{{1, 2, 10, 5, 50, 20}, {90, 100, 101, 120, 80}}]
p3972
sg8
(lp3973
(dp3974
g11
(lp3975
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000afilldraw((0.33306,0)--(133.56,0)--(133.56,247.21)--(0.33306,247.21)--cycle, rgb(0.88627, 0.78431, 0.6549), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((133.56,0)--(266.78,0)--(266.78,49.443)--(133.56,49.443)--cycle, rgb(0.88627, 0.78431, 0.6549), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((266.78,0)--(400,0)--(400,0)--(266.78,0)--cycle, rgb(0.88627, 0.78431, 0.6549), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0.33306,    0)--(400,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((0.33306,0)--(133.56,0)--(133.56,0)--(0.33306,0)--cycle, rgb(0.76078, 0.47451, 0.13333), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((133.56,0)--(266.78,0)--(266.78,0)--(133.56,0)--cycle, rgb(0.76078, 0.47451, 0.13333), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((266.78,0)--(400,0)--(400,247.21)--(266.78,247.21)--cycle, rgb(0.76078, 0.47451, 0.13333), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0.33306,    0)--(400,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,    0)--(416,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$20$", (66.9442131557036,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$40$", (133.55537052456287,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$60$", (200.16652789342217,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$80$", (266.7776852622814,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$100$", (333.38884263114073,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$120$", (400.0,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000adraw((66.944,    0)--(66.944,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((133.56,    0)--(133.56,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((200.17,    0)--(200.17,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((266.78,    0)--(266.78,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((333.39,    0)--(333.39,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((400,    0)--(400,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((16.986,    0)--(16.986,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((33.639,    0)--(33.639,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((50.291,    0)--(50.291,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((83.597,    0)--(83.597,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((100.25,    0)--(100.25,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((116.9,    0)--(116.9,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((150.21,    0)--(150.21,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((166.86,    0)--(166.86,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((183.51,    0)--(183.51,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((216.82,    0)--(216.82,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((233.47,    0)--(233.47,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((250.12,    0)--(250.12,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((283.43,    0)--(283.43,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((300.08,    0)--(300.08,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((316.74,    0)--(316.74,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((350.04,    0)--(350.04,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((366.69,    0)--(366.69,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((383.35,    0)--(383.35,    4), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0.33306,-12.9443)--(0.33306,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (-2.3336108798223703,49.44271909999158), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (-2.3336108798223703,98.88543819998316), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (-2.3336108798223703,148.32815729997475), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (-2.3336108798223703,197.7708763999663), (-1,0), rgb(0, 0, 0));\u000alabel("$5$", (-2.3336108798223703,247.2135954999579), (-1,0), rgb(0, 0, 0));\u000adraw((0.33306,49.4427)--(6.9997,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,98.8854)--(6.9997,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,148.328)--(6.9997,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,197.771)--(6.9997,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,247.214)--(6.9997,247.214), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,9.88854)--(4.3331,9.88854), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,19.7771)--(4.3331,19.7771), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,29.6656)--(4.3331,29.6656), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,39.5542)--(4.3331,39.5542), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,59.3313)--(4.3331,59.3313), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,69.2198)--(4.3331,69.2198), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,79.1084)--(4.3331,79.1084), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,88.9969)--(4.3331,88.9969), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,108.774)--(4.3331,108.774), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,118.663)--(4.3331,118.663), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,128.551)--(4.3331,128.551), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,138.44)--(4.3331,138.44), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,158.217)--(4.3331,158.217), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,168.105)--(4.3331,168.105), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,177.994)--(4.3331,177.994), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,187.882)--(4.3331,187.882), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,207.659)--(4.3331,207.659), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,217.548)--(4.3331,217.548), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,227.437)--(4.3331,227.437), rgb(0, 0, 0)+linewidth(0.66667));draw((0.33306,237.325)--(4.3331,237.325), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3976
sg15
I2
sass(g1696
g3851
VJoined
p3977
I0
tp3978
(dp3979
g6
VListPlot[Table[n ^ 2, {n, 10}], Joined->True]
p3980
sg8
(lp3981
(dp3982
g11
(lp3983
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,11.237)--(58.586,18.0473)--(98.99,29.3978)--(139.39,45.2884)--(179.8,65.7193)--(220.2,90.6904)--(260.61,120.202)--(301.01,154.253)--(341.41,192.845)--(381.82,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,8.96688)--(416,8.96688), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$4$", (139.3939393939394,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$6$", (220.20202020202024,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$8$", (301.01010101010104,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (381.8181818181818,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000adraw((139.39,8.96688)--(139.39,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((220.2,8.96688)--(220.2,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((301.01,8.96688)--(301.01,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,8.96688)--(381.82,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,8.96688)--(-2.0202,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,8.96688)--(18.182,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((38.384,8.96688)--(38.384,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((78.788,8.96688)--(78.788,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((98.99,8.96688)--(98.99,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((119.19,8.96688)--(119.19,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((159.6,8.96688)--(159.6,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((179.8,8.96688)--(179.8,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((200,8.96688)--(200,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((240.4,8.96688)--(240.4,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((260.61,8.96688)--(260.61,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((280.81,8.96688)--(280.81,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((321.21,8.96688)--(321.21,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((341.41,8.96688)--(341.41,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((361.62,8.96688)--(361.62,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((402.02,8.96688)--(402.02,12.9669), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((58.586,-12.9443)--(58.586,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$20$", (55.91919191919193,54.36883023162526), (-1,0), rgb(0, 0, 0));\u000alabel("$40$", (55.91919191919193,99.77077614529982), (-1,0), rgb(0, 0, 0));\u000alabel("$60$", (55.91919191919193,145.17272205897436), (-1,0), rgb(0, 0, 0));\u000alabel("$80$", (55.91919191919193,190.5746679726489), (-1,0), rgb(0, 0, 0));\u000alabel("$100$", (55.91919191919193,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((58.586,54.3688)--(65.253,54.3688), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,99.7708)--(65.253,99.7708), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,145.173)--(65.253,145.173), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,190.575)--(65.253,190.575), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,235.977)--(65.253,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,-2.3836)--(62.586,-2.3836), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,20.3174)--(62.586,20.3174), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,31.6679)--(62.586,31.6679), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,43.0183)--(62.586,43.0183), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,65.7193)--(62.586,65.7193), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,77.0698)--(62.586,77.0698), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,88.4203)--(62.586,88.4203), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,111.121)--(62.586,111.121), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,122.472)--(62.586,122.472), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,133.822)--(62.586,133.822), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,156.523)--(62.586,156.523), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,167.874)--(62.586,167.874), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,179.224)--(62.586,179.224), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,201.925)--(62.586,201.925), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,213.276)--(62.586,213.276), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,224.626)--(62.586,224.626), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,247.327)--(62.586,247.327), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3984
sg15
I1
sass(g1696
g3851
VListLinePlot
p3985
I0
tp3986
(dp3987
g6
VListLinePlot[Table[{n, n ^ 0.5}, {n, 10}]]
p3988
sg8
(lp3989
(dp3990
g11
(lp3991
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,11.237)--(58.586,54.2889)--(98.99,87.3238)--(139.39,115.174)--(179.8,139.71)--(220.2,161.892)--(260.61,182.291)--(301.01,201.277)--(341.41,219.11)--(381.82,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,11.237)--(416,11.237), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$4$", (139.3939393939394,8.570314946967782), (0,-1), rgb(0, 0, 0));\u000alabel("$6$", (220.20202020202024,8.570314946967782), (0,-1), rgb(0, 0, 0));\u000alabel("$8$", (301.01010101010104,8.570314946967782), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (381.8181818181818,8.570314946967782), (0,-1), rgb(0, 0, 0));\u000adraw((139.39,11.237)--(139.39,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((220.2,11.237)--(220.2,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((301.01,11.237)--(301.01,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,11.237)--(381.82,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,11.237)--(-2.0202,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,11.237)--(18.182,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((38.384,11.237)--(38.384,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((78.788,11.237)--(78.788,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((98.99,11.237)--(98.99,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((119.19,11.237)--(119.19,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((159.6,11.237)--(159.6,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((179.8,11.237)--(179.8,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((200,11.237)--(200,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((240.4,11.237)--(240.4,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((260.61,11.237)--(260.61,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((280.81,11.237)--(280.81,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((321.21,11.237)--(321.21,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((341.41,11.237)--(341.41,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((361.62,11.237)--(361.62,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((402.02,11.237)--(402.02,15.237), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((58.586,-12.9443)--(58.586,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1.5$", (55.91919191919193,63.20524554491611), (-1,0), rgb(0, 0, 0));\u000alabel("$2.0$", (55.91919191919193,115.17350947619778), (-1,0), rgb(0, 0, 0));\u000alabel("$2.5$", (55.91919191919193,167.14177340747943), (-1,0), rgb(0, 0, 0));\u000alabel("$3.0$", (55.91919191919193,219.11003733876106), (-1,0), rgb(0, 0, 0));\u000adraw((58.586,63.2052)--(65.253,63.2052), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,115.174)--(65.253,115.174), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,167.142)--(65.253,167.142), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,219.11)--(65.253,219.11), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,0.843329)--(62.586,0.843329), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,21.6306)--(62.586,21.6306), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,32.0243)--(62.586,32.0243), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,42.4179)--(62.586,42.4179), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,52.8116)--(62.586,52.8116), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,73.5989)--(62.586,73.5989), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,83.9926)--(62.586,83.9926), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,94.3862)--(62.586,94.3862), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,104.78)--(62.586,104.78), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,125.567)--(62.586,125.567), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,135.961)--(62.586,135.961), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,146.354)--(62.586,146.354), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,156.748)--(62.586,156.748), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,177.535)--(62.586,177.535), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,187.929)--(62.586,187.929), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,198.323)--(62.586,198.323), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,208.716)--(62.586,208.716), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,229.504)--(62.586,229.504), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,239.897)--(62.586,239.897), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,250.291)--(62.586,250.291), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3992
sg15
I1
sass(g1696
g3851
g3985
I1
tp3993
(dp3994
g6
VListLinePlot[{{-2, -1}, {-1, -1}}]
p3995
sg8
(lp3996
(dp3997
g11
(lp3998
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,123.607)--(381.82,123.607), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,269.55)));\u000adraw((-16,247.214)--(416,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.8$", (90.90909090909085,244.54692883329125), (0,-1), rgb(0, 0, 0));\u000alabel("$-1.6$", (163.63636363636354,244.54692883329125), (0,-1), rgb(0, 0, 0));\u000alabel("$-1.4$", (236.3636363636363,244.54692883329125), (0,-1), rgb(0, 0, 0));\u000alabel("$-1.2$", (309.090909090909,244.54692883329125), (0,-1), rgb(0, 0, 0));\u000alabel("$-1.0$", (381.8181818181818,244.54692883329125), (0,-1), rgb(0, 0, 0));\u000adraw((90.909,247.214)--(90.909,253.88), rgb(0, 0, 0)+linewidth(0.66667));draw((163.64,247.214)--(163.64,253.88), rgb(0, 0, 0)+linewidth(0.66667));draw((236.36,247.214)--(236.36,253.88), rgb(0, 0, 0)+linewidth(0.66667));draw((309.09,247.214)--(309.09,253.88), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,247.214)--(381.82,253.88), rgb(0, 0, 0)+linewidth(0.66667));draw((-1.6149e-13,247.214)--(-1.6149e-13,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((36.364,247.214)--(36.364,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((54.545,247.214)--(54.545,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((72.727,247.214)--(72.727,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((109.09,247.214)--(109.09,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((127.27,247.214)--(127.27,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((145.45,247.214)--(145.45,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((181.82,247.214)--(181.82,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.214)--(200,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((218.18,247.214)--(218.18,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((254.55,247.214)--(254.55,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((272.73,247.214)--(272.73,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((290.91,247.214)--(290.91,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((327.27,247.214)--(327.27,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((345.45,247.214)--(345.45,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((363.64,247.214)--(363.64,251.214), rgb(0, 0, 0)+linewidth(0.66667));draw((400,247.214)--(400,251.214), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((18.182,-12.9443)--(18.182,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2.0$", (15.515151515151453,0.0), (-1,0), rgb(0, 0, 0));\u000alabel("$-1.5$", (15.515151515151453,61.803398874989476), (-1,0), rgb(0, 0, 0));\u000alabel("$-1.0$", (15.515151515151453,123.60679774997895), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (15.515151515151453,185.41019662496842), (-1,0), rgb(0, 0, 0));\u000adraw((18.182,    0)--(24.848,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,61.8034)--(24.848,61.8034), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,123.607)--(24.848,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,185.41)--(24.848,185.41), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,12.3607)--(22.182,12.3607), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,24.7214)--(22.182,24.7214), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,37.082)--(22.182,37.082), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,49.4427)--(22.182,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,74.1641)--(22.182,74.1641), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,86.5248)--(22.182,86.5248), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,98.8854)--(22.182,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,111.246)--(22.182,111.246), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,135.967)--(22.182,135.967), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,148.328)--(22.182,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,160.689)--(22.182,160.689), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,173.05)--(22.182,173.05), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,197.771)--(22.182,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,210.132)--(22.182,210.132), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,222.492)--(22.182,222.492), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,234.853)--(22.182,234.853), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3999
sg15
I2
sass(g1696
g3851
VListPlot
p4000
I0
tp4001
(dp4002
g6
VListPlot[Table[n ^ 2, {n, 10}]]
p4003
sg8
(lp4004
(dp4005
g11
(lp4006
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adot((18.18181818181818, 11.23698161363445), rgb(0.2472, 0.24, 0.6));dot((58.585858585858595, 18.04727350068563), rgb(0.2472, 0.24, 0.6));dot((98.98989898989902, 29.397759979104265), rgb(0.2472, 0.24, 0.6));dot((139.3939393939394, 45.288441048890355), rgb(0.2472, 0.24, 0.6));dot((179.79797979797982, 65.7193167100439), rgb(0.2472, 0.24, 0.6));dot((220.20202020202024, 90.6903869625649), rgb(0.2472, 0.24, 0.6));dot((260.6060606060606, 120.20165180645337), rgb(0.2472, 0.24, 0.6));dot((301.01010101010104, 154.2531112417093), rgb(0.2472, 0.24, 0.6));dot((341.4141414141414, 192.84476526833262), rgb(0.2472, 0.24, 0.6));dot((381.8181818181818, 235.97661388632346), rgb(0.2472, 0.24, 0.6));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,8.96688)--(416,8.96688), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$4$", (139.3939393939394,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$6$", (220.20202020202024,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$8$", (301.01010101010104,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (381.8181818181818,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000adraw((139.39,8.96688)--(139.39,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((220.2,8.96688)--(220.2,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((301.01,8.96688)--(301.01,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,8.96688)--(381.82,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,8.96688)--(-2.0202,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,8.96688)--(18.182,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((38.384,8.96688)--(38.384,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((78.788,8.96688)--(78.788,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((98.99,8.96688)--(98.99,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((119.19,8.96688)--(119.19,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((159.6,8.96688)--(159.6,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((179.8,8.96688)--(179.8,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((200,8.96688)--(200,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((240.4,8.96688)--(240.4,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((260.61,8.96688)--(260.61,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((280.81,8.96688)--(280.81,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((321.21,8.96688)--(321.21,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((341.41,8.96688)--(341.41,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((361.62,8.96688)--(361.62,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((402.02,8.96688)--(402.02,12.9669), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((58.586,-12.9443)--(58.586,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$20$", (55.91919191919193,54.36883023162526), (-1,0), rgb(0, 0, 0));\u000alabel("$40$", (55.91919191919193,99.77077614529982), (-1,0), rgb(0, 0, 0));\u000alabel("$60$", (55.91919191919193,145.17272205897436), (-1,0), rgb(0, 0, 0));\u000alabel("$80$", (55.91919191919193,190.5746679726489), (-1,0), rgb(0, 0, 0));\u000alabel("$100$", (55.91919191919193,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((58.586,54.3688)--(65.253,54.3688), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,99.7708)--(65.253,99.7708), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,145.173)--(65.253,145.173), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,190.575)--(65.253,190.575), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,235.977)--(65.253,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,-2.3836)--(62.586,-2.3836), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,20.3174)--(62.586,20.3174), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,31.6679)--(62.586,31.6679), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,43.0183)--(62.586,43.0183), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,65.7193)--(62.586,65.7193), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,77.0698)--(62.586,77.0698), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,88.4203)--(62.586,88.4203), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,111.121)--(62.586,111.121), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,122.472)--(62.586,122.472), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,133.822)--(62.586,133.822), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,156.523)--(62.586,156.523), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,167.874)--(62.586,167.874), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,179.224)--(62.586,179.224), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,201.925)--(62.586,201.925), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,213.276)--(62.586,213.276), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,224.626)--(62.586,224.626), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,247.327)--(62.586,247.327), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4007
sg15
I1
sass(g1696
g3851
VMesh
p4008
I0
tp4009
(dp4010
g6
VPlot[Sin[Cos[x^2]],{x,-4,4},Mesh->All]
p4011
sg8
(lp4012
(dp4013
g11
(lp4014
sg13
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0.6));dot((396.42857142857144, 12.51822164560671), rgb(0.2472, 0.24, 0.6));dot((397.32142857142856, 10.376881032847248), rgb(0.2472, 0.24, 0.6));dot((397.7678571428571, 9.869317942565202), rgb(0.2472, 0.24, 0.6));dot((398.2142857142857, 9.726571354540944), rgb(0.2472, 0.24, 0.6));dot((399.1071428571429, 10.541699882593006), rgb(0.2472, 0.24, 0.6));dot((400.0, 12.900448208160531), rgb(0.2472, 0.24, 0.6));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,122.851)--(416,122.851), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (0.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (100.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (300.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000adraw((0,122.851)--(0,129.517), rgb(0, 0, 0)+linewidth(0.66667));draw((100,122.851)--(100,129.517), rgb(0, 0, 0)+linewidth(0.66667));draw((300,122.851)--(300,129.517), rgb(0, 0, 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(197.33333333333334,55.63131055454669), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,190.06977800869208), (-1,0), rgb(0, 0, 0));\u000adraw((200,55.6313)--(206.67,55.6313), rgb(0, 0, 0)+linewidth(0.66667));draw((200,190.07)--(206.67,190.07), rgb(0, 0, 0)+linewidth(0.66667));draw((200,1.85592)--(204,1.85592), rgb(0, 0, 0)+linewidth(0.66667));draw((200,15.2998)--(204,15.2998), rgb(0, 0, 0)+linewidth(0.66667));draw((200,28.7436)--(204,28.7436), rgb(0, 0, 0)+linewidth(0.66667));draw((200,42.1875)--(204,42.1875), rgb(0, 0, 0)+linewidth(0.66667));draw((200,69.0752)--(204,69.0752), rgb(0, 0, 0)+linewidth(0.66667));draw((200,82.519)--(204,82.519), rgb(0, 0, 0)+linewidth(0.66667));draw((200,95.9629)--(204,95.9629), rgb(0, 0, 0)+linewidth(0.66667));draw((200,109.407)--(204,109.407), rgb(0, 0, 0)+linewidth(0.66667));draw((200,136.294)--(204,136.294), rgb(0, 0, 0)+linewidth(0.66667));draw((200,149.738)--(204,149.738), rgb(0, 0, 0)+linewidth(0.66667));draw((200,163.182)--(204,163.182), rgb(0, 0, 0)+linewidth(0.66667));draw((200,176.626)--(204,176.626), rgb(0, 0, 0)+linewidth(0.66667));draw((200,203.514)--(204,203.514), rgb(0, 0, 0)+linewidth(0.66667));draw((200,216.957)--(204,216.957), rgb(0, 0, 0)+linewidth(0.66667));draw((200,230.401)--(204,230.401), rgb(0, 0, 0)+linewidth(0.66667));draw((200,243.845)--(204,243.845), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4015
sg15
I1
sass(g1696
g3851
g4008
I1
tp4016
(dp4017
g6
VPlot[Sin[x], {x,0,4 Pi}, Mesh->Full]
p4018
sg8
(lp4019
(dp4020
g11
(lp4021
sg13
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0)+linewidth(0.66667));draw((0,179.792)--(6.6667,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((0,235.977)--(6.6667,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((0,    0)--(4,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.474)--(4,22.474), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.7109)--(4,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.9479)--(4,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.1849)--(4,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.6589)--(4,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8959)--(4,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.133)--(4,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.37)--(4,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.844)--(4,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.081)--(4,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.318)--(4,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.555)--(4,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.029)--(4,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.266)--(4,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.503)--(4,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.74)--(4,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.214)--(4,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4022
sg15
I2
sass(g1696
g3851
g4008
I2
tp4023
(dp4024
g6
VDensityPlot[Sin[x y], {x, -2, 2}, {y, -2, 2}, Mesh->Full]
p4025
sg8
(lp4026
(dp4027
g11
(lp4028
sg13
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0.91369),rgb(0.74778, 0.82314, 0.91369),rgb(0.74778, 0.82314, 0.91369),rgb(0.74778, 0.82314, 0.91369),rgb(0.38887, 0.22338, 0.66359)}, new int[] {0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1});filldraw((0,0)--(0,50)--(50,0)--cycle, nullpen, nullpen);filldraw((0,50)--(50,0)--(50,50)--cycle, nullpen, nullpen);filldraw((0,50)--(0,100)--(50,50)--cycle, nullpen, nullpen);filldraw((0,100)--(50,50)--(50,100)--cycle, nullpen, nullpen);filldraw((0,100)--(0,150)--(50,100)--cycle, nullpen, nullpen);filldraw((0,150)--(50,100)--(50,150)--cycle, nullpen, nullpen);filldraw((0,150)--(0,200)--(50,150)--cycle, nullpen, nullpen);filldraw((0,200)--(50,150)--(50,200)--cycle, nullpen, nullpen);filldraw((0,200)--(50,200)--(50,250)--cycle, nullpen, nullpen);filldraw((0,200)--(0,250)--(50,250)--cycle, nullpen, nullpen);filldraw((0,250)--(50,250)--(50,300)--cycle, nullpen, nullpen);filldraw((0,250)--(0,300)--(50,300)--cycle, nullpen, nullpen);filldraw((0,300)--(50,300)--(50,350)--cycle, nullpen, nullpen);filldraw((0,300)--(0,350)--(50,350)--cycle, nullpen, nullpen);filldraw((50,0)--(50,50)--(100,0)--cycle, nullpen, nullpen);filldraw((50,50)--(100,0)--(100,50)--cycle, nullpen, nullpen);filldraw((50,50)--(50,100)--(100,50)--cycle, nullpen, nullpen);filldraw((50,100)--(100,50)--(100,100)--cycle, nullpen, nullpen);filldraw((50,100)--(50,150)--(100,100)--cycle, nullpen, nullpen);filldraw((50,150)--(100,100)--(100,150)--cycle, nullpen, nullpen);filldraw((50,150)--(50,200)--(100,150)--cycle, nullpen, nullpen);filldraw((50,200)--(100,150)--(100,200)--cycle, nullpen, nullpen);filldraw((50,200)--(100,200)--(100,250)--cycle, nullpen, nullpen);filldraw((50,200)--(50,250)--(100,250)--cycle, nullpen, nullpen);filldraw((50,250)--(100,250)--(100,300)--cycle, nullpen, nullpen);filldraw((50,250)--(50,300)--(100,300)--cycle, nullpen, nullpen);filldraw((50,300)--(100,300)--(100,350)--cycle, nullpen, nullpen);filldraw((50,300)--(50,350)--(100,350)--cycle, nullpen, nullpen);filldraw((100,0)--(100,50)--(150,0)--cycle, nullpen, nullpen);filldraw((100,50)--(150,0)--(150,50)--cycle, nullpen, nullpen);filldraw((100,50)--(100,100)--(150,50)--cycle, nullpen, nullpen);filldraw((100,100)--(150,50)--(150,100)--cycle, nullpen, nullpen);filldraw((100,100)--(100,150)--(150,100)--cycle, nullpen, nullpen);filldraw((100,150)--(150,100)--(150,150)--cycle, nullpen, nullpen);filldraw((100,150)--(100,200)--(150,150)--cycle, nullpen, nullpen);filldraw((100,200)--(150,150)--(150,200)--cycle, nullpen, nullpen);filldraw((100,200)--(150,200)--(150,250)--cycle, nullpen, nullpen);filldraw((100,200)--(100,250)--(150,250)--cycle, nullpen, nullpen);filldraw((100,250)--(150,250)--(150,300)--cycle, nullpen, nullpen);filldraw((100,250)--(100,300)--(150,300)--cycle, nullpen, nullpen);filldraw((100,300)--(150,300)--(150,350)--cycle, nullpen, nullpen);filldraw((100,300)--(100,350)--(150,350)--cycle, nullpen, nullpen);filldraw((150,0)--(150,50)--(200,0)--cycle, nullpen, nullpen);filldraw((150,50)--(200,0)--(200,50)--cycle, nullpen, nullpen);filldraw((150,50)--(150,100)--(200,50)--cycle, nullpen, nullpen);filldraw((150,100)--(200,50)--(200,100)--cycle, nullpen, nullpen);filldraw((150,100)--(150,150)--(200,100)--cycle, nullpen, nullpen);filldraw((150,150)--(200,100)--(200,150)--cycle, nullpen, nullpen);filldraw((150,150)--(150,200)--(200,150)--cycle, nullpen, nullpen);filldraw((150,200)--(200,150)--(200,200)--cycle, nullpen, 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nullpen);filldraw((200,250)--(250,200)--(250,250)--cycle, nullpen, nullpen);filldraw((200,250)--(200,300)--(250,250)--cycle, nullpen, nullpen);filldraw((200,300)--(250,250)--(250,300)--cycle, nullpen, nullpen);filldraw((200,300)--(200,350)--(250,300)--cycle, nullpen, nullpen);filldraw((200,350)--(250,300)--(250,350)--cycle, nullpen, nullpen);filldraw((250,0)--(300,0)--(300,50)--cycle, nullpen, nullpen);filldraw((250,0)--(250,50)--(300,50)--cycle, nullpen, nullpen);filldraw((250,50)--(300,50)--(300,100)--cycle, nullpen, nullpen);filldraw((250,50)--(250,100)--(300,100)--cycle, nullpen, nullpen);filldraw((250,100)--(300,100)--(300,150)--cycle, nullpen, nullpen);filldraw((250,100)--(250,150)--(300,150)--cycle, nullpen, nullpen);filldraw((250,150)--(250,200)--(300,150)--cycle, nullpen, nullpen);filldraw((250,200)--(300,150)--(300,200)--cycle, nullpen, nullpen);filldraw((250,200)--(250,250)--(300,200)--cycle, nullpen, nullpen);filldraw((250,250)--(300,200)--(300,250)--cycle, nullpen, nullpen);filldraw((250,250)--(250,300)--(300,250)--cycle, nullpen, nullpen);filldraw((250,300)--(300,250)--(300,300)--cycle, nullpen, nullpen);filldraw((250,300)--(250,350)--(300,300)--cycle, nullpen, nullpen);filldraw((250,350)--(300,300)--(300,350)--cycle, nullpen, nullpen);filldraw((300,0)--(350,0)--(350,50)--cycle, nullpen, nullpen);filldraw((300,0)--(300,50)--(350,50)--cycle, nullpen, nullpen);filldraw((300,50)--(350,50)--(350,100)--cycle, nullpen, nullpen);filldraw((300,50)--(300,100)--(350,100)--cycle, nullpen, nullpen);filldraw((300,100)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((300,100)--(300,150)--(350,150)--cycle, nullpen, nullpen);filldraw((300,150)--(300,200)--(350,150)--cycle, nullpen, nullpen);filldraw((300,200)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((300,200)--(300,250)--(350,200)--cycle, nullpen, nullpen);filldraw((300,250)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((300,250)--(300,300)--(350,250)--cycle, nullpen, nullpen);filldraw((300,300)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((300,300)--(300,350)--(350,300)--cycle, nullpen, nullpen);filldraw((300,350)--(350,300)--(350,350)--cycle, nullpen, nullpen);\u000adraw((0,    0)--(0,   50)--(0,  100)--(0,  150)--(0,  200)--(0,  250)--(0,  300)--(0,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,    0)--(50,   50)--(50,  100)--(50,  150)--(50,  200)--(50,  250)--(50,  300)--(50,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,    0)--(100,   50)--(100,  100)--(100,  150)--(100,  200)--(100,  250)--(100,  300)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,    0)--(150,   50)--(150,  100)--(150,  150)--(150,  200)--(150,  250)--(150,  300)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(200,   50)--(200,  100)--(200,  150)--(200,  200)--(200,  250)--(200,  300)--(200,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(250,   50)--(250,  100)--(250,  150)--(250,  200)--(250,  250)--(250,  300)--(250,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,    0)--(300,   50)--(300,  100)--(300,  150)--(300,  200)--(300,  250)--(300,  300)--(300,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,    0)--(350,   50)--(350,  100)--(350,  150)--(350,  200)--(350,  250)--(350,  300)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,    0)--(50,    0)--(100,    0)--(150,    0)--(200,    0)--(250,    0)--(300,    0)--(350,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,   50)--(50,   50)--(100,   50)--(150,   50)--(200,   50)--(250,   50)--(300,   50)--(350,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  100)--(50,  100)--(100,  100)--(150,  100)--(200,  100)--(250,  100)--(300,  100)--(350,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  150)--(50,  150)--(100,  150)--(150,  150)--(200,  150)--(250,  150)--(300,  150)--(350,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(50,  200)--(100,  200)--(150,  200)--(200,  200)--(250,  200)--(300,  200)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(50,  250)--(100,  250)--(150,  250)--(200,  250)--(250,  250)--(300,  250)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(50,  300)--(100,  300)--(150,  300)--(200,  300)--(250,  300)--(300,  300)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  350)--(50,  350)--(100,  350)--(150,  350)--(200,  350)--(250,  350)--(300,  350)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p4029
sg15
I3
sass(g1696
g3851
g4008
I3
tp4030
(dp4031
g6
VPlot3D[Sin[x y], {x, -2, 2}, {y, -2, 2}, Mesh->Full]
p4032
sg8
(lp4033
(dp4034
g11
(lp4035
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(1.3,-2.4,2.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000apath3 g=(-0.5,-0.5,-0.15165)--(-0.5,-0.35714,0.056233)--(-0.35714,-0.5,0.056233)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,-0.071429,0.10837)--(-0.5,0.071429,-0.10837)--(-0.35714,-0.071429,0.079537)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,0.35714,-0.056233)--(-0.5,0.5,0.15165)--(-0.35714,0.5,-0.056233)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.071429,-0.5,0.10837)--(-0.071429,-0.35714,0.079537)--(0.071429,-0.5,-0.10837)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.071429,0.5,-0.10837)--(0.071429,0.35714,0.079537)--(0.071429,0.5,0.10837)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(0.35714,-0.5,-0.056233)--(0.5,-0.5,0.15165)--(0.5,-0.35714,-0.056233)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(0.35714,0.071429,0.079537)--(0.5,-0.071429,-0.10837)--(0.5,0.071429,0.10837)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(0.35714,0.5,0.056233)--(0.5,0.35714,0.056233)--(0.5,0.5,-0.15165)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,-0.35714,0.056233)--(-0.5,-0.28571,0.15132)--(-0.42857,-0.35714,0.12795)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,-0.28571,0.15132)--(-0.5,-0.21429,0.19832)--(-0.42857,-0.28571,0.18546)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.42857,-0.35714,0.12795)--(-0.42857,-0.28571,0.18546)--(-0.35714,-0.35714,0.17865)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,-0.28571,0.15132)--(-0.42857,-0.35714,0.12795)--(-0.42857,-0.28571,0.18546)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 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0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.06011497095592411)--(-0.5,-0.475,0.06011497095592411)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.0801532946078988)--(-0.5,-0.475,0.0801532946078988)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.12022994191184821)--(-0.5,-0.475,0.12022994191184821)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.1402682655638229)--(-0.5,-0.475,0.1402682655638229)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.1603065892157976)--(-0.5,-0.475,0.1603065892157976)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.1803449128677723)--(-0.5,-0.475,0.1803449128677723)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4036
sg15
I4
sass(g1696
g3851
VParametricPlot
p4037
I0
tp4038
(dp4039
g6
VParametricPlot[{Sin[u], Cos[3 u]}, {u, 0, 2 Pi}]
p4040
sg8
(lp4041
(dp4042
g11
(lp4043
sg13
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0)+linewidth(0.66667));draw((200,33.7109)--(204,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((200,44.9479)--(204,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((200,56.1849)--(204,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((200,78.6589)--(204,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((200,89.8959)--(204,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((200,101.133)--(204,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((200,112.37)--(204,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.844)--(204,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((200,146.081)--(204,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((200,157.318)--(204,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((200,168.555)--(204,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.029)--(204,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((200,202.266)--(204,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((200,213.503)--(204,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((200,224.74)--(204,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.214)--(204,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4044
sg15
I1
sass(g1696
g3851
g4037
I1
tp4045
(dp4046
g6
VParametricPlot[{Cos[u] / u, Sin[u] / u}, {u, 0, 50}, PlotRange->0.5]
p4047
sg8
(lp4048
(dp4049
g11
(lp4050
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.4$", (39.99999999999999,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$-0.2$", (120.0,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$0.2$", (280.0,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$0.4$", (360.0,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000adraw((40,123.607)--(40,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((120,123.607)--(120,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((280,123.607)--(280,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((360,123.607)--(360,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((0,123.607)--(0,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((20,123.607)--(20,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((60,123.607)--(60,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((80,123.607)--(80,127.607), rgb(0, 0, 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0));\u000alabel("$-0.2$", (197.33333333333334,74.16407864998737), (-1,0), rgb(0, 0, 0));\u000alabel("$0.2$", (197.33333333333334,173.04951684997053), (-1,0), rgb(0, 0, 0));\u000alabel("$0.4$", (197.33333333333334,222.49223594996212), (-1,0), rgb(0, 0, 0));\u000adraw((200,24.7214)--(206.67,24.7214), rgb(0, 0, 0)+linewidth(0.66667));draw((200,74.1641)--(206.67,74.1641), rgb(0, 0, 0)+linewidth(0.66667));draw((200,173.05)--(206.67,173.05), rgb(0, 0, 0)+linewidth(0.66667));draw((200,222.492)--(206.67,222.492), rgb(0, 0, 0)+linewidth(0.66667));draw((200,    0)--(204,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((200,12.3607)--(204,12.3607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,37.082)--(204,37.082), rgb(0, 0, 0)+linewidth(0.66667));draw((200,49.4427)--(204,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((200,61.8034)--(204,61.8034), rgb(0, 0, 0)+linewidth(0.66667));draw((200,86.5248)--(204,86.5248), rgb(0, 0, 0)+linewidth(0.66667));draw((200,98.8854)--(204,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((200,111.246)--(204,111.246), rgb(0, 0, 0)+linewidth(0.66667));draw((200,135.967)--(204,135.967), rgb(0, 0, 0)+linewidth(0.66667));draw((200,148.328)--(204,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((200,160.689)--(204,160.689), rgb(0, 0, 0)+linewidth(0.66667));draw((200,185.41)--(204,185.41), rgb(0, 0, 0)+linewidth(0.66667));draw((200,197.771)--(204,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((200,210.132)--(204,210.132), rgb(0, 0, 0)+linewidth(0.66667));draw((200,234.853)--(204,234.853), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.214)--(204,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4051
sg15
I2
sass(g1696
g3851
g4037
I2
tp4052
(dp4053
g6
VParametricPlot[{{Sin[u], Cos[u]},{0.6 Sin[u], 0.6 Cos[u]}, {0.2 Sin[u], 0.2 Cos[u]}}, {u, 0, 2 Pi}, PlotRange->1, AspectRatio->1]
p4054
sg8
(lp4055
(dp4056
g11
(lp4057
sg13
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 210), rgb(0.6, 0.54701, 0.24)+linewidth(0.66667));\u000aclip(box((-15.667,-15.667), (365.67,365.67)));\u000adraw((-15,  175)--(365,  175), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (0.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$-0.5$", (87.5,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$0.5$", (262.5,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$1.0$", (350.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000adraw((0,  175)--(0,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((87.5,  175)--(87.5,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((262.5,  175)--(262.5,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((350,  175)--(350,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((17.5,  175)--(17.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((35,  175)--(35,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((52.5,  175)--(52.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((70,  175)--(70,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((105,  175)--(105,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((122.5,  175)--(122.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((140,  175)--(140,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((157.5,  175)--(157.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((192.5,  175)--(192.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((210,  175)--(210,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((227.5,  175)--(227.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((245,  175)--(245,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((280,  175)--(280,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((297.5,  175)--(297.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((315,  175)--(315,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((332.5,  175)--(332.5,  179), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((175,  -15)--(175,  365), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (172.33333333333334,0.0), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (172.33333333333334,87.5), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (172.33333333333334,262.5), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (172.33333333333334,350.0), (-1,0), rgb(0, 0, 0));\u000adraw((175,    0)--(181.67,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 87.5)--(181.67, 87.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,262.5)--(181.67,262.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  350)--(181.67,  350), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 17.5)--(179, 17.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,   35)--(179,   35), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 52.5)--(179, 52.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,   70)--(179,   70), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  105)--(179,  105), rgb(0, 0, 0)+linewidth(0.66667));draw((175,122.5)--(179,122.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  140)--(179,  140), rgb(0, 0, 0)+linewidth(0.66667));draw((175,157.5)--(179,157.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,192.5)--(179,192.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  210)--(179,  210), rgb(0, 0, 0)+linewidth(0.66667));draw((175,227.5)--(179,227.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  245)--(179,  245), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  280)--(179,  280), rgb(0, 0, 0)+linewidth(0.66667));draw((175,297.5)--(179,297.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  315)--(179,  315), rgb(0, 0, 0)+linewidth(0.66667));draw((175,332.5)--(179,332.5), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4058
sg15
I3
sass(g1696
g3851
VPieChart
p4059
I0
tp4060
(dp4061
g6
VPieChart[{1, 4, 2}]
p4062
sg8
(lp4063
(dp4064
g11
(lp4065
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((175,175)--(65.889,311.82)--arc((175,175), (65.889, 311.82), (0, 175))--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(213.94,4.3876)--arc((175,175), (213.94, 4.3876), (65.889, 311.82))--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(0,175)--arc((175,175), (0, 175), (213.94, 4.3876))--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p4066
sg15
I1
sass(g1696
g3851
g4059
I1
tp4067
(dp4068
g6
VPieChart[{8, 16, 2}, SectorOrigin -> {Automatic, 1.5}]
p4069
sg8
(lp4070
(dp4071
g11
(lp4072
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((175,175)--(237.06,338.63)--arc((175,175), (237.06, 338.63), (0, 175))--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(20.045,93.673)--arc((175,175), (20.045, 93.673), (237.06, 338.63))--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(0,175)--arc((175,175), (0, 175), (20.045, 93.673))--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((175,175),131.25,131.25), rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p4073
sg15
I2
sass(g1696
g3851
g4059
I2
tp4074
(dp4075
g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}]
p4076
sg8
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g11
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p4080
sg15
I3
sass(g1696
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g4059
I3
tp4081
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VPieChart[{{10, 20, 30}, {15, 22, 30}}, SectorSpacing -> None]
p4083
sg8
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p4087
sg15
I4
sass(g1696
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g4059
I4
tp4088
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g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}, ChartLabels -> {a, b, c}]
p4090
sg8
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g11
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sg13
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p4094
sg15
I5
sass(g1696
g3851
g4059
I5
tp4095
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g6
VPieChart[{1, -1, 3}]
p4097
sg8
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g11
(lp4100
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((175,175)--(175,350)--arc((175,175), (175, 350), (0, 175))--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(175,350)--arc((175,175), (175, 350), (175, 350))--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(0,175)--arc((175,175), (0, 175), (175, 350))--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p4101
sg15
I6
sass(g1696
g3851
VPlot
p4102
I0
tp4103
(dp4104
g6
VPlot[{Sin[x], Cos[x], x / 3}, {x, -Pi, Pi}]
p4105
sg8
(lp4106
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g11
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sg13
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0)+linewidth(0.66667));draw((200,220.182)--(204,220.182), rgb(0, 0, 0)+linewidth(0.66667));draw((200,241.643)--(204,241.643), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4109
sg15
I1
sass(g1696
g3851
g4102
I1
tp4110
(dp4111
g6
VPlot[Sin[x], {x, 0, 4 Pi}, PlotRange->{{0, 4 Pi}, {0, 1.5}}]
p4112
sg8
(lp4113
(dp4114
g11
(lp4115
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((0,    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0)+linewidth(0.66667));draw((0,16.4809)--(4,16.4809), rgb(0, 0, 0)+linewidth(0.66667));draw((0,32.9618)--(4,32.9618), rgb(0, 0, 0)+linewidth(0.66667));draw((0,49.4427)--(4,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((0,65.9236)--(4,65.9236), rgb(0, 0, 0)+linewidth(0.66667));draw((0,98.8854)--(4,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((0,115.366)--(4,115.366), rgb(0, 0, 0)+linewidth(0.66667));draw((0,131.847)--(4,131.847), rgb(0, 0, 0)+linewidth(0.66667));draw((0,148.328)--(4,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((0,181.29)--(4,181.29), rgb(0, 0, 0)+linewidth(0.66667));draw((0,197.771)--(4,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((0,214.252)--(4,214.252), rgb(0, 0, 0)+linewidth(0.66667));draw((0,230.733)--(4,230.733), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4116
sg15
I2
sass(g1696
g3851
g4102
I2
tp4117
(dp4118
g6
VPlot[Tan[x], {x, -6, 6}, Mesh->Full]
p4119
sg8
(lp4120
(dp4121
g11
(lp4122
sg13
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p4123
sg15
I3
sass(g1696
g3851
g4102
I3
tp4124
(dp4125
g6
VPlot[x^2, {x, -1, 1}, MaxRecursion->5, Mesh->All]
p4126
sg8
(lp4127
(dp4128
g11
(lp4129
sg13
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0, 0)+linewidth(0.66667));draw((40,11.237)--(40,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((60,11.237)--(60,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((80,11.237)--(80,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((120,11.237)--(120,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((140,11.237)--(140,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((160,11.237)--(160,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((180,11.237)--(180,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((220,11.237)--(220,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((240,11.237)--(240,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((260,11.237)--(260,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((280,11.237)--(280,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((320,11.237)--(320,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((340,11.237)--(340,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((360,11.237)--(360,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((380,11.237)--(380,15.237), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$0.2$", (197.33333333333334,59.57604106542819), (-1,0), rgb(0, 0, 0));\u000alabel("$0.4$", (197.33333333333334,107.91510051722193), (-1,0), rgb(0, 0, 0));\u000alabel("$0.6$", (197.33333333333334,156.2541599690157), (-1,0), rgb(0, 0, 0));\u000alabel("$0.8$", (197.33333333333334,204.5932194208094), (-1,0), rgb(0, 0, 0));\u000adraw((200,59.576)--(206.67,59.576), rgb(0, 0, 0)+linewidth(0.66667));draw((200,107.915)--(206.67,107.915), rgb(0, 0, 0)+linewidth(0.66667));draw((200,156.254)--(206.67,156.254), rgb(0, 0, 0)+linewidth(0.66667));draw((200,204.593)--(206.67,204.593), rgb(0, 0, 0)+linewidth(0.66667));draw((200,-0.847783)--(204,-0.847783), rgb(0, 0, 0)+linewidth(0.66667));draw((200,23.3217)--(204,23.3217), rgb(0, 0, 0)+linewidth(0.66667));draw((200,35.4065)--(204,35.4065), rgb(0, 0, 0)+linewidth(0.66667));draw((200,47.4913)--(204,47.4913), rgb(0, 0, 0)+linewidth(0.66667));draw((200,71.6608)--(204,71.6608), rgb(0, 0, 0)+linewidth(0.66667));draw((200,83.7456)--(204,83.7456), rgb(0, 0, 0)+linewidth(0.66667));draw((200,95.8303)--(204,95.8303), rgb(0, 0, 0)+linewidth(0.66667));draw((200,  120)--(204,  120), rgb(0, 0, 0)+linewidth(0.66667));draw((200,132.085)--(204,132.085), rgb(0, 0, 0)+linewidth(0.66667));draw((200,144.169)--(204,144.169), rgb(0, 0, 0)+linewidth(0.66667));draw((200,168.339)--(204,168.339), rgb(0, 0, 0)+linewidth(0.66667));draw((200,180.424)--(204,180.424), rgb(0, 0, 0)+linewidth(0.66667));draw((200,192.508)--(204,192.508), rgb(0, 0, 0)+linewidth(0.66667));draw((200,216.678)--(204,216.678), rgb(0, 0, 0)+linewidth(0.66667));draw((200,228.763)--(204,228.763), rgb(0, 0, 0)+linewidth(0.66667));draw((200,240.848)--(204,240.848), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4130
sg15
I4
sass(g1696
g3851
g4102
I4
tp4131
(dp4132
g6
VPlot[Log[x], {x, 0, 5}, MaxRecursion->0]
p4133
sg8
(lp4134
(dp4135
g11
(lp4136
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((7.1429,-106.819)--(14.286,-47.7908)--(21.429,-13.2618)--(28.571,11.237)--(35.714,30.2397)--(42.857,45.766)--(50,58.8933)--(57.143,70.2647)--(64.286,80.295)--(71.429,89.2674)--(78.571,97.384)--(85.714,104.794)--(92.857,111.61)--(100,117.921)--(107.14,123.796)--(114.29,129.293)--(121.43,134.455)--(128.57,139.323)--(135.71,143.927)--(142.86,148.295)--(150,152.45)--(157.14,156.412)--(164.29,160.197)--(171.43,163.822)--(178.57,167.298)--(185.71,170.638)--(192.86,173.852)--(200,176.949)--(207.14,179.937)--(214.29,182.824)--(221.43,185.617)--(228.57,188.32)--(235.71,190.941)--(242.86,193.483)--(250,195.952)--(257.14,198.351)--(264.29,200.684)--(271.43,202.955)--(278.57,205.167)--(285.71,207.323)--(292.86,209.426)--(300,211.478)--(307.14,213.482)--(314.29,215.439)--(321.43,217.353)--(328.57,219.225)--(335.71,221.056)--(342.86,222.849)--(350,224.605)--(357.14,226.326)--(364.29,228.012)--(371.43,229.666)--(378.57,231.288)--(385.71,232.88)--(392.86,234.442)--(400,235.977), 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0)+linewidth(0.66667));draw((0,184.077)--(6.6667,184.077), rgb(0, 0, 0)+linewidth(0.66667));draw((0,226.657)--(6.6667,226.657), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-3.27247)--(4,-3.27247), rgb(0, 0, 0)+linewidth(0.66667));draw((0,5.24344)--(4,5.24344), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.2752)--(4,22.2752), rgb(0, 0, 0)+linewidth(0.66667));draw((0,30.7912)--(4,30.7912), rgb(0, 0, 0)+linewidth(0.66667));draw((0,39.3071)--(4,39.3071), rgb(0, 0, 0)+linewidth(0.66667));draw((0,47.823)--(4,47.823), rgb(0, 0, 0)+linewidth(0.66667));draw((0,64.8548)--(4,64.8548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,73.3707)--(4,73.3707), rgb(0, 0, 0)+linewidth(0.66667));draw((0,81.8866)--(4,81.8866), rgb(0, 0, 0)+linewidth(0.66667));draw((0,90.4025)--(4,90.4025), rgb(0, 0, 0)+linewidth(0.66667));draw((0,107.434)--(4,107.434), rgb(0, 0, 0)+linewidth(0.66667));draw((0,115.95)--(4,115.95), rgb(0, 0, 0)+linewidth(0.66667));draw((0,124.466)--(4,124.466), rgb(0, 0, 0)+linewidth(0.66667));draw((0,132.982)--(4,132.982), rgb(0, 0, 0)+linewidth(0.66667));draw((0,150.014)--(4,150.014), rgb(0, 0, 0)+linewidth(0.66667));draw((0,158.53)--(4,158.53), rgb(0, 0, 0)+linewidth(0.66667));draw((0,167.046)--(4,167.046), rgb(0, 0, 0)+linewidth(0.66667));draw((0,175.562)--(4,175.562), rgb(0, 0, 0)+linewidth(0.66667));draw((0,192.593)--(4,192.593), rgb(0, 0, 0)+linewidth(0.66667));draw((0,201.109)--(4,201.109), rgb(0, 0, 0)+linewidth(0.66667));draw((0,209.625)--(4,209.625), rgb(0, 0, 0)+linewidth(0.66667));draw((0,218.141)--(4,218.141), rgb(0, 0, 0)+linewidth(0.66667));draw((0,235.173)--(4,235.173), rgb(0, 0, 0)+linewidth(0.66667));draw((0,243.689)--(4,243.689), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4137
sg15
I5
sass(g1696
g3851
g4102
I5
tp4138
(dp4139
g6
VPlot[Tan[x], {x, 0, 6}, Mesh->All, PlotRange->{{-1, 5}, {0, 15}}, MaxRecursion->10]
p4140
sg8
(lp4141
(dp4142
g11
(lp4143
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((66.667,    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0)+linewidth(0.66667));draw((66.667,32.9618)--(70.667,32.9618), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,49.4427)--(70.667,49.4427), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,65.9236)--(70.667,65.9236), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,98.8854)--(70.667,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,115.366)--(70.667,115.366), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,131.847)--(70.667,131.847), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,148.328)--(70.667,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,181.29)--(70.667,181.29), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,197.771)--(70.667,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,214.252)--(70.667,214.252), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,230.733)--(70.667,230.733), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4144
sg15
I6
sass(g1696
g3851
g4102
I6
tp4145
(dp4146
g6
VPlot[3, {x, 0, 1}]
p4147
sg8
(lp4148
(dp4149
g11
(lp4150
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((0,189.53)--(4,189.53), rgb(0, 0, 0)+linewidth(0.66667));draw((0,197.771)--(4,197.771), rgb(0, 0, 0)+linewidth(0.66667));draw((0,214.252)--(4,214.252), rgb(0, 0, 0)+linewidth(0.66667));draw((0,222.492)--(4,222.492), rgb(0, 0, 0)+linewidth(0.66667));draw((0,230.733)--(4,230.733), rgb(0, 0, 0)+linewidth(0.66667));draw((0,238.973)--(4,238.973), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4151
sg15
I7
sass(g1696
g3851
VPlot3D
p4152
I0
tp4153
(dp4154
g6
VPlot3D[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p4155
sg8
(lp4156
(dp4157
g11
(lp4158
sg13
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0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.16000000000000003)--(-0.5,0.35833333333333334,0.16000000000000003)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.18285714285714288)--(-0.5,0.35833333333333334,0.18285714285714288)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.20571428571428574)--(-0.5,0.35833333333333334,0.20571428571428574)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.25142857142857145)--(-0.5,0.35833333333333334,0.25142857142857145)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.27428571428571435)--(-0.5,0.35833333333333334,0.27428571428571435)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.29714285714285715)--(-0.5,0.35833333333333334,0.29714285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.32000000000000006)--(-0.5,0.35833333333333334,0.32000000000000006)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.36571428571428577)--(-0.5,0.35833333333333334,0.36571428571428577)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.3885714285714286)--(-0.5,0.35833333333333334,0.3885714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.4114285714285715)--(-0.5,0.35833333333333334,0.4114285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.43428571428571433)--(-0.5,0.35833333333333334,0.43428571428571433)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4159
sg15
I1
sass(g1696
g3851
g4152
I1
tp4160
(dp4161
g6
VPlot3D[x y / (x ^ 2 + y ^ 2 + 1), {x, -2, 2}, {y, -2, 2}]
p4162
sg8
(lp4163
(dp4164
g11
(lp4165
sg13
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0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,-0.2)--(-0.5,-0.5,0.2)), rgb(0, 0, 0)+linewidth(1.5));\u000adraw(((0.5,-0.5,-0.2)--(0.5,-0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,0.5,-0.2)--(-0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0.5,0.5,-0.2)--(0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,-0.2)--(-0.5,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-2",(-0.5, -0.5, -0.2),S);\u000adraw(((-0.25,-0.5,-0.2)--(-0.25,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-1",(-0.25, -0.5, -0.2),S);\u000adraw(((0.0,-0.5,-0.2)--(0.0,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(0.0, -0.5, -0.2),S);\u000adraw(((0.25,-0.5,-0.2)--(0.25,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("1",(0.25, -0.5, -0.2),S);\u000adraw(((0.5,-0.5,-0.2)--(0.5,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("2",(0.5, -0.5, 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0)+linewidth(1.2));\u000adraw(((-0.5,0.4,0.2)--(-0.5,0.4,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.45,0.2)--(-0.5,0.45,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.18000000000000005)--(-0.5,-0.45,-0.18000000000000005)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-0.4",(-0.5, -0.5, -0.18000000000000005),W);\u000adraw(((-0.5,-0.5,-0.09000000000000002)--(-0.5,-0.45,-0.09000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-0.2",(-0.5, -0.5, -0.09000000000000002),W);\u000adraw(((-0.5,-0.5,0.0)--(-0.5,-0.45,0.0)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(-0.5, -0.5, 0.0),W);\u000adraw(((-0.5,-0.5,0.09000000000000002)--(-0.5,-0.45,0.09000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.2",(-0.5, -0.5, 0.09000000000000002),W);\u000adraw(((-0.5,-0.5,0.18000000000000005)--(-0.5,-0.45,0.18000000000000005)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.4",(-0.5, -0.5, 0.18000000000000005),W);\u000adraw(((-0.5,-0.5,-0.15750000000000003)--(-0.5,-0.475,-0.15750000000000003)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.13500000000000004)--(-0.5,-0.475,-0.13500000000000004)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.11250000000000002)--(-0.5,-0.475,-0.11250000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.06750000000000002)--(-0.5,-0.475,-0.06750000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.04500000000000001)--(-0.5,-0.475,-0.04500000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.022500000000000006)--(-0.5,-0.475,-0.022500000000000006)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.022500000000000006)--(-0.5,-0.475,0.022500000000000006)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.04500000000000001)--(-0.5,-0.475,0.04500000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.06750000000000002)--(-0.5,-0.475,0.06750000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.11250000000000002)--(-0.5,-0.475,0.11250000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.13500000000000004)--(-0.5,-0.475,0.13500000000000004)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.15750000000000003)--(-0.5,-0.475,0.15750000000000003)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4166
sg15
I2
sass(g1696
g3851
g4152
I2
tp4167
(dp4168
g6
VPlot3D[x / (x ^ 2 + y ^ 2 + 1), {x, -2, 2}, {y, -2, 2}, Mesh->None]
p4169
sg8
(lp4170
(dp4171
g11
(lp4172
sg13
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0.4)+linewidth(1));\u000adraw(((0.5,-0.5,-0.2)--(0.5,0.5,-0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,0.2)--(-0.5,0.5,0.2)), rgb(0, 0, 0)+linewidth(1.5));\u000adraw(((0.5,-0.5,0.2)--(0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,-0.2)--(-0.5,-0.5,0.2)), rgb(0, 0, 0)+linewidth(1.5));\u000adraw(((0.5,-0.5,-0.2)--(0.5,-0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,0.5,-0.2)--(-0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0.5,0.5,-0.2)--(0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,-0.2)--(-0.5,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-2",(-0.5, -0.5, -0.2),S);\u000adraw(((-0.25,-0.5,-0.2)--(-0.25,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-1",(-0.25, -0.5, -0.2),S);\u000adraw(((0.0,-0.5,-0.2)--(0.0,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(0.0, -0.5, 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0)+linewidth(1.2));\u000alabel("0.2",(-0.5, -0.5, 0.08071428571428572),W);\u000adraw(((-0.5,-0.5,0.16142857142857145)--(-0.5,-0.45,0.16142857142857145)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.4",(-0.5, -0.5, 0.16142857142857145),W);\u000adraw(((-0.5,-0.5,-0.18160714285714286)--(-0.5,-0.475,-0.18160714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.14125000000000001)--(-0.5,-0.475,-0.14125000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.1210714285714286)--(-0.5,-0.475,-0.1210714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.10089285714285715)--(-0.5,-0.475,-0.10089285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.0605357142857143)--(-0.5,-0.475,-0.0605357142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.04035714285714286)--(-0.5,-0.475,-0.04035714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.02017857142857143)--(-0.5,-0.475,-0.02017857142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.02017857142857143)--(-0.5,-0.475,0.02017857142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.04035714285714286)--(-0.5,-0.475,0.04035714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.0605357142857143)--(-0.5,-0.475,0.0605357142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.10089285714285715)--(-0.5,-0.475,0.10089285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.1210714285714286)--(-0.5,-0.475,0.1210714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.14125000000000001)--(-0.5,-0.475,0.14125000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.18160714285714286)--(-0.5,-0.475,0.18160714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4173
sg15
I3
sass(g1696
g3851
g4152
I3
tp4174
(dp4175
g6
VPlot3D[Sin[x y] /(x y), {x, -3, 3}, {y, -3, 3}, Mesh->All]
p4176
sg8
(lp4177
(dp4178
g11
(lp4179
sg13
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0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4180
sg15
I4
sass(g1696
g3851
g4152
I4
tp4181
(dp4182
g6
VPlot3D[Log[x + y^2], {x, -1, 1}, {y, -1, 1}]
p4183
sg8
(lp4184
(dp4185
g11
(lp4186
sg13
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rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.10718002612701655)--(-0.48148148148148145,-0.475,-0.10718002612701655)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.09378252286113947)--(-0.48148148148148145,-0.475,-0.09378252286113947)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.08038501959526241)--(-0.48148148148148145,-0.475,-0.08038501959526241)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.053590013063508274)--(-0.48148148148148145,-0.475,-0.053590013063508274)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.040192509797631205)--(-0.48148148148148145,-0.475,-0.040192509797631205)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.026795006531754137)--(-0.48148148148148145,-0.475,-0.026795006531754137)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.013397503265877068)--(-0.48148148148148145,-0.475,-0.013397503265877068)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,0.013397503265877068)--(-0.48148148148148145,-0.475,0.013397503265877068)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,0.026795006531754137)--(-0.48148148148148145,-0.475,0.026795006531754137)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,0.040192509797631205)--(-0.48148148148148145,-0.475,0.040192509797631205)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4187
sg15
I5
sass(g1696
g3851
VPlotPoints
p4188
I0
tp4189
(dp4190
g6
VPlot[Sin[Cos[x^2]],{x,-4,4}, PlotPoints->22]
p4191
sg8
(lp4192
(dp4193
g11
(lp4194
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,122.874)--(416,122.874), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (0.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (100.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (300.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000adraw((0,122.874)--(0,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((100,122.874)--(100,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((300,122.874)--(300,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((400,122.874)--(400,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((25,122.874)--(25,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((50,122.874)--(50,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((75,122.874)--(75,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((125,122.874)--(125,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((150,122.874)--(150,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((175,122.874)--(175,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((225,122.874)--(225,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((250,122.874)--(250,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((275,122.874)--(275,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((325,122.874)--(325,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((350,122.874)--(350,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((375,122.874)--(375,126.874), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.5$", (197.33333333333334,55.64076004204467), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,190.10784319210805), (-1,0), rgb(0, 0, 0));\u000adraw((200,55.6408)--(206.67,55.6408), rgb(0, 0, 0)+linewidth(0.66667));draw((200,190.108)--(206.67,190.108), rgb(0, 0, 0)+linewidth(0.66667));draw((200,1.85393)--(204,1.85393), rgb(0, 0, 0)+linewidth(0.66667));draw((200,15.3006)--(204,15.3006), rgb(0, 0, 0)+linewidth(0.66667));draw((200,28.7473)--(204,28.7473), rgb(0, 0, 0)+linewidth(0.66667));draw((200,42.1941)--(204,42.1941), rgb(0, 0, 0)+linewidth(0.66667));draw((200,69.0875)--(204,69.0875), rgb(0, 0, 0)+linewidth(0.66667));draw((200,82.5342)--(204,82.5342), rgb(0, 0, 0)+linewidth(0.66667));draw((200,95.9809)--(204,95.9809), rgb(0, 0, 0)+linewidth(0.66667));draw((200,109.428)--(204,109.428), rgb(0, 0, 0)+linewidth(0.66667));draw((200,136.321)--(204,136.321), rgb(0, 0, 0)+linewidth(0.66667));draw((200,149.768)--(204,149.768), rgb(0, 0, 0)+linewidth(0.66667));draw((200,163.214)--(204,163.214), rgb(0, 0, 0)+linewidth(0.66667));draw((200,176.661)--(204,176.661), rgb(0, 0, 0)+linewidth(0.66667));draw((200,203.555)--(204,203.555), rgb(0, 0, 0)+linewidth(0.66667));draw((200,217.001)--(204,217.001), rgb(0, 0, 0)+linewidth(0.66667));draw((200,230.448)--(204,230.448), rgb(0, 0, 0)+linewidth(0.66667));draw((200,243.895)--(204,243.895), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4195
sg15
I1
sass(g1696
g3851
VPlotRange
p4196
I0
tp4197
(dp4198
g6
VPlot[Sin[Cos[x^2]],{x,-4,4}, PlotRange -> All]
p4199
sg8
(lp4200
(dp4201
g11
(lp4202
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (0.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (100.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (300.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000adraw((0,123.607)--(0,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((100,123.607)--(100,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((300,123.607)--(300,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((25,123.607)--(25,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((50,123.607)--(50,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((75,123.607)--(75,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((125,123.607)--(125,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((150,123.607)--(150,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((175,123.607)--(175,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((225,123.607)--(225,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((250,123.607)--(250,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((275,123.607)--(275,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((325,123.607)--(325,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((350,123.607)--(350,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((375,123.607)--(375,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.5$", (197.33333333333334,50.15993403665952), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,197.05365271930194), (-1,0), rgb(0, 0, 0));\u000adraw((200,50.1599)--(206.67,50.1599), rgb(0, 0, 0)+linewidth(0.66667));draw((200,197.054)--(206.67,197.054), rgb(0, 0, 0)+linewidth(0.66667));draw((200,6.09182)--(204,6.09182), rgb(0, 0, 0)+linewidth(0.66667));draw((200,20.7812)--(204,20.7812), rgb(0, 0, 0)+linewidth(0.66667));draw((200,35.4706)--(204,35.4706), rgb(0, 0, 0)+linewidth(0.66667));draw((200,64.8493)--(204,64.8493), rgb(0, 0, 0)+linewidth(0.66667));draw((200,79.5387)--(204,79.5387), rgb(0, 0, 0)+linewidth(0.66667));draw((200,94.228)--(204,94.228), rgb(0, 0, 0)+linewidth(0.66667));draw((200,108.917)--(204,108.917), rgb(0, 0, 0)+linewidth(0.66667));draw((200,138.296)--(204,138.296), rgb(0, 0, 0)+linewidth(0.66667));draw((200,152.986)--(204,152.986), rgb(0, 0, 0)+linewidth(0.66667));draw((200,167.675)--(204,167.675), rgb(0, 0, 0)+linewidth(0.66667));draw((200,182.364)--(204,182.364), rgb(0, 0, 0)+linewidth(0.66667));draw((200,211.743)--(204,211.743), rgb(0, 0, 0)+linewidth(0.66667));draw((200,226.432)--(204,226.432), rgb(0, 0, 0)+linewidth(0.66667));draw((200,241.122)--(204,241.122), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4203
sg15
I1
sass(g1696
g3851
VPolarPlot
p4204
I0
tp4205
(dp4206
g6
VPolarPlot[Cos[5t], {t, 0, Pi}]
p4207
sg8
(lp4208
(dp4209
g11
(lp4210
sg13
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 175), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-15.667,-15.667), (365.67,365.67)));\u000adraw((-15,  175)--(365,  175), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.5$", (71.02605952541644,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$0.5$", (246.4026259024116,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$1.0$", (334.0909090909092,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000adraw((71.026,  175)--(71.026,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((246.4,  175)--(246.4,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((334.09,  175)--(334.09,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((0.87543,  175)--(0.87543,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((18.413,  175)--(18.413,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((35.951,  175)--(35.951,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((53.488,  175)--(53.488,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((88.564,  175)--(88.564,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((106.1,  175)--(106.1,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((123.64,  175)--(123.64,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((141.18,  175)--(141.18,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((176.25,  175)--(176.25,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((193.79,  175)--(193.79,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((211.33,  175)--(211.33,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((228.86,  175)--(228.86,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((263.94,  175)--(263.94,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((281.48,  175)--(281.48,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((299.02,  175)--(299.02,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((316.55,  175)--(316.55,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((351.63,  175)--(351.63,  179), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((158.71,  -15)--(158.71,  365), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (156.04767604724734,7.065764570783553), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (156.04767604724734,91.03288228539178), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (156.04767604724734,258.96711771460826), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (156.04767604724734,342.93423542921647), (-1,0), rgb(0, 0, 0));\u000adraw((158.71,7.06576)--(165.38,7.06576), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,91.0329)--(165.38,91.0329), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,258.967)--(165.38,258.967), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,342.934)--(165.38,342.934), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,23.8592)--(162.71,23.8592), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,40.6526)--(162.71,40.6526), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,57.446)--(162.71,57.446), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,74.2395)--(162.71,74.2395), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,107.826)--(162.71,107.826), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,124.62)--(162.71,124.62), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,141.413)--(162.71,141.413), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,158.207)--(162.71,158.207), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,191.793)--(162.71,191.793), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,208.587)--(162.71,208.587), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,225.38)--(162.71,225.38), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,242.174)--(162.71,242.174), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,275.761)--(162.71,275.761), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,292.554)--(162.71,292.554), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,309.347)--(162.71,309.347), rgb(0, 0, 0)+linewidth(0.66667));draw((158.71,326.141)--(162.71,326.141), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4211
sg15
I1
sass(g1696
g3851
g4204
I1
tp4212
(dp4213
g6
VPolarPlot[{1, 1 + Sin[20 t] / 5}, {t, 0, 2 Pi}]
p4214
sg8
(lp4215
(dp4216
g11
(lp4217
sg13
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0)+linewidth(0.66667));draw((175,215.967)--(179,215.967), rgb(0, 0, 0)+linewidth(0.66667));draw((175,229.622)--(179,229.622), rgb(0, 0, 0)+linewidth(0.66667));draw((175,256.933)--(179,256.933), rgb(0, 0, 0)+linewidth(0.66667));draw((175,270.589)--(179,270.589), rgb(0, 0, 0)+linewidth(0.66667));draw((175,284.245)--(179,284.245), rgb(0, 0, 0)+linewidth(0.66667));draw((175,297.9)--(179,297.9), rgb(0, 0, 0)+linewidth(0.66667));draw((175,325.211)--(179,325.211), rgb(0, 0, 0)+linewidth(0.66667));draw((175,338.867)--(179,338.867), rgb(0, 0, 0)+linewidth(0.66667));draw((175,352.523)--(179,352.523), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4218
sg15
I2
sass(g1696
g3851
VTop
p4219
I0
tp4220
(dp4221
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Axis|Top|Bottom]
p4222
sg8
(lp4223
(dp4224
g11
(lp4225
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,231.632)--(36.364,233.728)--(54.545,208.862)--(72.727,163.123)--(90.909,107.709)--(109.09,56.1877)--(127.27,21.1726)--(145.45,11.237)--(163.64,28.8134)--(181.82,69.5985)--(200,123.607)--(218.18,177.615)--(236.36,218.4)--(254.55,235.977)--(272.73,226.041)--(290.91,191.026)--(309.09,139.504)--(327.27,84.0904)--(345.45,38.3515)--(363.64,13.4861)--(381.82,15.582), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (90.9090909090909,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (181.8181818181818,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$15$", (272.72727272727275,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$20$", (363.6363636363636,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000adraw((90.909,123.607)--(90.909,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((181.82,123.607)--(181.82,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((272.73,123.607)--(272.73,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((363.64,123.607)--(363.64,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,123.607)--(18.182,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((36.364,123.607)--(36.364,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((54.545,123.607)--(54.545,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((72.727,123.607)--(72.727,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((109.09,123.607)--(109.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((127.27,123.607)--(127.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((145.45,123.607)--(145.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((163.64,123.607)--(163.64,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,123.607)--(200,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((218.18,123.607)--(218.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((236.36,123.607)--(236.36,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((254.55,123.607)--(254.55,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((290.91,123.607)--(290.91,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((309.09,123.607)--(309.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((327.27,123.607)--(327.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((345.45,123.607)--(345.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,123.607)--(381.82,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,10.954786817167548), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.28079228357325), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.93280321638466), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,236.25880868279035), (-1,0), rgb(0, 0, 0));\u000adraw((0,10.9548)--(6.6667,10.9548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.2808)--(6.6667,67.2808), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.933)--(6.6667,179.933), rgb(0, 0, 0)+linewidth(0.66667));draw((0,236.259)--(6.6667,236.259), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-0.310414)--(4,-0.310414), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.22)--(4,22.22), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.4852)--(4,33.4852), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.7504)--(4,44.7504), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.0156)--(4,56.0156), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.546)--(4,78.546), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8112)--(4,89.8112), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.076)--(4,101.076), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.342)--(4,112.342), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.872)--(4,134.872), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.137)--(4,146.137), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.402)--(4,157.402), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.668)--(4,168.668), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.198)--(4,191.198), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.463)--(4,202.463), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.728)--(4,213.728), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.994)--(4,224.994), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.524)--(4,247.524), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4226
sg15
I1
sass(g1696
VLogic
p4227
VAllTrue
p4228
I0
tp4229
(dp4230
g6
VAllTrue[{2, 4, 6}, EvenQ]
p4231
sg8
(lp4232
(dp4233
g11
(lp4234
sg13
V\u005ctext{True}
p4235
sg15
I1
sass(g1696
g4227
g4228
I1
tp4236
(dp4237
g6
VAllTrue[{2, 4, 7}, EvenQ]
p4238
sg8
(lp4239
(dp4240
g11
(lp4241
sg13
V\u005ctext{False}
p4242
sg15
I2
sass(g1696
g4227
VAnd
p4243
I0
tp4244
(dp4245
g6
VTrue && True && False
p4246
sg8
(lp4247
(dp4248
g11
(lp4249
sg13
V\u005ctext{False}
p4250
sg15
I1
sass(g1696
g4227
g4243
I1
tp4251
(dp4252
g6
Va && b && True && c
p4253
sg8
(lp4254
(dp4255
g11
(lp4256
sg13
Va\u005ctext{\u005c&\u005c&}b\u005ctext{\u005c&\u005c&}c
p4257
sg15
I2
sass(g1696
g4227
VAnyTrue
p4258
I0
tp4259
(dp4260
g6
VAnyTrue[{1, 3, 5}, EvenQ]
p4261
sg8
(lp4262
(dp4263
g11
(lp4264
sg13
V\u005ctext{False}
p4265
sg15
I1
sass(g1696
g4227
g4258
I1
tp4266
(dp4267
g6
VAnyTrue[{1, 4, 5}, EvenQ]
p4268
sg8
(lp4269
(dp4270
g11
(lp4271
sg13
V\u005ctext{True}
p4272
sg15
I2
sass(g1696
g4227
VEquivalent
p4273
I0
tp4274
(dp4275
g6
VEquivalent[True, True, False]
p4276
sg8
(lp4277
(dp4278
g11
(lp4279
sg13
V\u005ctext{False}
p4280
sg15
I1
sass(g1696
g4227
g4273
I1
tp4281
(dp4282
g6
VEquivalent[a, b, c]
p4283
sg8
(lp4284
(dp4285
g11
(lp4286
sg13
Va\u29e6b\u29e6c
p4287
sg15
I2
sass(g1696
g4227
g4273
I2
tp4288
(dp4289
g6
VEquivalent[a, b, True, c]
p4290
sg8
(lp4291
(dp4292
g11
(lp4293
sg13
Va\u005ctext{\u005c&\u005c&}b\u005ctext{\u005c&\u005c&}c
p4294
sg15
I3
sass(g1696
g4227
VImplies
p4295
I0
tp4296
(dp4297
g6
VImplies[False, a]
p4298
sg8
(lp4299
(dp4300
g11
(lp4301
sg13
V\u005ctext{True}
p4302
sg15
I1
sass(g1696
g4227
g4295
I1
tp4303
(dp4304
g6
VImplies[True, a]
p4305
sg8
(lp4306
(dp4307
g11
(lp4308
sg13
g542
sg15
I2
sass(g1696
g4227
g4295
I2
tp4309
(dp4310
g6
VImplies[a, Implies[b, Implies[True, c]]]
p4311
sg8
(lp4312
(dp4313
g11
(lp4314
sg13
Va\uf523b\uf523c
p4315
sg15
I3
sass(g1696
g4227
VNoneTrue
p4316
I0
tp4317
(dp4318
g6
VNoneTrue[{1, 3, 5}, EvenQ]
p4319
sg8
(lp4320
(dp4321
g11
(lp4322
sg13
V\u005ctext{True}
p4323
sg15
I1
sass(g1696
g4227
g4316
I1
tp4324
(dp4325
g6
VNoneTrue[{1, 4, 5}, EvenQ]
p4326
sg8
(lp4327
(dp4328
g11
(lp4329
sg13
V\u005ctext{False}
p4330
sg15
I2
sass(g1696
g4227
VNot
p4331
I0
tp4332
(dp4333
g6
V!True
p4334
sg8
(lp4335
(dp4336
g11
(lp4337
sg13
V\u005ctext{False}
p4338
sg15
I1
sass(g1696
g4227
g4331
I1
tp4339
(dp4340
g6
V!False
p4341
sg8
(lp4342
(dp4343
g11
(lp4344
sg13
V\u005ctext{True}
p4345
sg15
I2
sass(g1696
g4227
g4331
I2
tp4346
(dp4347
g6
V!b
p4348
sg8
(lp4349
(dp4350
g11
(lp4351
sg13
V!b
p4352
sg15
I3
sass(g1696
g4227
VOr
p4353
I0
tp4354
(dp4355
g6
VFalse || True
p4356
sg8
(lp4357
(dp4358
g11
(lp4359
sg13
V\u005ctext{True}
p4360
sg15
I1
sass(g1696
g4227
g4353
I1
tp4361
(dp4362
g6
Va || False || b
p4363
sg8
(lp4364
(dp4365
g11
(lp4366
sg13
Va\u005ctext{$\u005cvert$$\u005cvert$}b
p4367
sg15
I2
sass(g1696
g4227
VXor
p4368
I0
tp4369
(dp4370
g6
VXor[False, True]
p4371
sg8
(lp4372
(dp4373
g11
(lp4374
sg13
V\u005ctext{True}
p4375
sg15
I1
sass(g1696
g4227
g4368
I1
tp4376
(dp4377
g6
VXor[True, True]
p4378
sg8
(lp4379
(dp4380
g11
(lp4381
sg13
V\u005ctext{False}
p4382
sg15
I2
sass(g1696
g4227
g4368
I2
tp4383
(dp4384
g6
VXor[a, False, b]
p4385
sg8
(lp4386
(dp4387
g11
(lp4388
sg13
Va\u22bbb
p4389
sg15
I3
sass(g1696
VScoping
p4390
VBegin
p4391
I0
tp4392
(dp4393
g6
VBegin["test`"]
p4394
sg8
(lp4395
(dp4396
g11
(lp4397
sg13
V\u005ctext{test`}
p4398
sg15
I1
sass(g1696
g4390
g4391
I1
tp4399
(dp4400
g6
V{$Context, $ContextPath}
p4401
sg8
(lp4402
(dp4403
g11
(lp4404
sg13
V\u005cleft\u005c{\u005ctext{test`},\u005cleft\u005c{\u005ctext{Global`},\u005ctext{System`}\u005cright\u005c}\u005cright\u005c}
p4405
sg15
I2
sass(g1696
g4390
g4391
I2
tp4406
(dp4407
g6
VContext[newsymbol]
p4408
sg8
(lp4409
(dp4410
g11
(lp4411
sg13
V\u005ctext{test`}
p4412
sg15
I3
sass(g1696
g4390
g4391
I3
tp4413
(dp4414
g6
VEnd[]
p4415
sg8
(lp4416
(dp4417
g11
(lp4418
sg13
V\u005ctext{test`}
p4419
sg15
I4
sass(g1696
g4390
g4391
I4
tp4420
(dp4421
g6
VEnd[]
p4422
sg8
(lp4423
(dp4424
g11
(lp4425
(dp4426
g149
I01
sg150
VEnd
p4427
sg152
Vnoctx
p4428
sg154
VEnd::noctx
p4429
sg156
VNo previous context defined.
p4430
sasg13
V\u005ctext{Global`}
p4431
sg15
I5
sass(g1696
g4390
VBeginPackage
p4432
I0
tp4433
(dp4434
g6
VBeginPackage["test`"]
p4435
sg8
(lp4436
(dp4437
g11
(lp4438
sg13
V\u005ctext{test`}
p4439
sg15
I1
sass(g1696
g4390
VBlock
p4440
I0
tp4441
(dp4442
g6
Vn = 10
p4443
sg8
(lp4444
(dp4445
g11
(lp4446
sg13
V10
p4447
sg15
I1
sass(g1696
g4390
g4440
I1
tp4448
(dp4449
g6
VBlock[{n = 5}, n ^ 2]
p4450
sg8
(lp4451
(dp4452
g11
(lp4453
sg13
V25
p4454
sg15
I2
sass(g1696
g4390
g4440
I2
tp4455
(dp4456
g6
g2191
sg8
(lp4457
(dp4458
g11
(lp4459
sg13
V10
p4460
sg15
I3
sass(g1696
g4390
g4440
I3
tp4461
(dp4462
g6
VBlock[{x = n+2, n}, {x, n}]
p4463
sg8
(lp4464
(dp4465
g11
(lp4466
sg13
V\u005cleft\u005c{12,10\u005cright\u005c}
p4467
sg15
I4
sass(g1696
g4390
g4440
I4
tp4468
(dp4469
g6
VBlock[{x + y}, x]
p4470
sg8
(lp4471
(dp4472
g11
(lp4473
(dp4474
g149
I01
sg150
VBlock
p4475
sg152
Vlvsym
p4476
sg154
VBlock::lvsym
p4477
sg156
VLocal variable specification contains x + y, which is not a symbol or an assignment to a symbol.
p4478
sasg13
g195
sg15
I5
sass(g1696
g4390
g4440
I5
tp4479
(dp4480
g6
VBlock[{x, x}, x]
p4481
sg8
(lp4482
(dp4483
g11
(lp4484
(dp4485
g149
I01
sg150
VBlock
p4486
sg152
Vdup
p4487
sg154
VBlock::dup
p4488
sg156
VDuplicate local variable x found in local variable specification.
p4489
sasg13
g195
sg15
I6
sass(g1696
g4390
VContext
p4490
I0
tp4491
(dp4492
g6
VContext[a]
p4493
sg8
(lp4494
(dp4495
g11
(lp4496
sg13
V\u005ctext{Global`}
p4497
sg15
I1
sass(g1696
g4390
g4490
I1
tp4498
(dp4499
g6
VContext[b`c]
p4500
sg8
(lp4501
(dp4502
g11
(lp4503
sg13
V\u005ctext{b`}
p4504
sg15
I2
sass(g1696
g4390
g4490
I2
tp4505
(dp4506
g6
VInputForm[Context[]]
p4507
sg8
(lp4508
(dp4509
g11
(lp4510
sg13
V\u005ctext{"Global`"}
p4511
sg15
I3
sass(g1696
g4390
V$ContextPath
p4512
I0
tp4513
(dp4514
g6
V$ContextPath // InputForm
p4515
sg8
(lp4516
(dp4517
g11
(lp4518
sg13
V\u005cleft\u005c{\u005ctext{"Global`"}, \u005ctext{"System`"}\u005cright\u005c}
p4519
sg15
I1
sass(g1696
g4390
V$Context
p4520
I0
tp4521
(dp4522
g6
V$Context
p4523
sg8
(lp4524
(dp4525
g11
(lp4526
sg13
V\u005ctext{Global`}
p4527
sg15
I1
sass(g1696
g4390
VContexts
p4528
I0
tp4529
(dp4530
g6
Vx = 5;
p4531
sg8
(lp4532
(dp4533
g11
(lp4534
sg13
Nsg15
I1
sass(g1696
g4390
g4528
I1
tp4535
(dp4536
g6
VContexts[] // InputForm
p4537
sg8
(lp4538
(dp4539
g11
(lp4540
sg13
V\u005cleft\u005c{\u005ctext{"CombinatoricaOld`"}, \u005ctext{"Global`"}, \u005ctext{"ImportExport`"}, \u005ctext{"Internal`"}, \u005ctext{"Settings`"}, \u005ctext{"System`"}, \u005ctext{"System`Convert`B64Dump`"}, \u005ctext{"System`Convert`CommonDump`"}, \u005ctext{"System`Convert`Image`"}, \u005ctext{"System`Convert`JSONDump`"}, \u005ctext{"System`Convert`TableDump`"}, \u005ctext{"System`Convert`TextDump`"}, \u005ctext{"System`ConvertersDump`"}, \u005ctext{"System`Private`"}, \u005ctext{"XML`"}, \u005ctext{"XML`Parser`"}\u005cright\u005c}
p4541
sg15
I2
sass(g1696
g4390
VModule
p4542
I0
tp4543
(dp4544
g6
Vx = 10;
p4545
sg8
(lp4546
(dp4547
g11
(lp4548
sg13
Nsg15
I1
sass(g1696
g4390
g4542
I1
tp4549
(dp4550
g6
VModule[{x=x}, x=x+1; x]
p4551
sg8
(lp4552
(dp4553
g11
(lp4554
sg13
V11
p4555
sg15
I2
sass(g1696
g4390
g4542
I2
tp4556
(dp4557
g6
g195
sg8
(lp4558
(dp4559
g11
(lp4560
sg13
V10
p4561
sg15
I3
sass(g1696
g4390
g4542
I3
tp4562
(dp4563
g6
Vt === Module[{t}, t]
p4564
sg8
(lp4565
(dp4566
g11
(lp4567
sg13
V\u005ctext{False}
p4568
sg15
I4
sass(g1696
g4390
g4542
I4
tp4569
(dp4570
g6
VModule[{t=x}, x = x + 1; t]
p4571
sg8
(lp4572
(dp4573
g11
(lp4574
sg13
V10
p4575
sg15
I5
sass(g1696
g4390
g4542
I5
tp4576
(dp4577
g6
g195
sg8
(lp4578
(dp4579
g11
(lp4580
sg13
V11
p4581
sg15
I6
sass(g1696
g4390
g4542
I6
tp4582
(dp4583
g6
VModule[{a}, Block[{a}, a]]
p4584
sg8
(lp4585
(dp4586
g11
(lp4587
sg13
g542
sg15
I7
sass(g1696
g4390
g4542
I7
tp4588
(dp4589
g6
VModule[{a}, Block[{}, a]]
p4590
sg8
(lp4591
(dp4592
g11
(lp4593
sg13
V\u005ctext{a\u005c$5}
p4594
sg15
I8
sass(g1696
g4390
V$ModuleNumber
p4595
I0
tp4596
(dp4597
g6
VUnprotect[$ModuleNumber]
p4598
sg8
(lp4599
(dp4600
g11
(lp4601
sg13
Nsg15
I1
sass(g1696
g4390
g4595
I1
tp4602
(dp4603
g6
V$ModuleNumber = 20;
p4604
sg8
(lp4605
(dp4606
g11
(lp4607
sg13
Nsg15
I2
sass(g1696
g4390
g4595
I2
tp4608
(dp4609
g6
VModule[{x}, x]
p4610
sg8
(lp4611
(dp4612
g11
(lp4613
sg13
V\u005ctext{x\u005c$20}
p4614
sg15
I3
sass(g1696
g4390
g4595
I3
tp4615
(dp4616
g6
V$ModuleNumber = x;
p4617
sg8
(lp4618
(dp4619
g11
(lp4620
(dp4621
g149
I01
sg150
V$ModuleNumber
p4622
sg152
Vset
p4623
sg154
V$ModuleNumber::set
p4624
sg156
VCannot set $ModuleNumber to x; value must be a positive integer.
p4625
sasg13
Nsg15
I4
sass(g1696
g4390
VUnique
p4626
I0
tp4627
(dp4628
g6
VUnique[]
p4629
sg8
(lp4630
(dp4631
g11
(lp4632
sg13
V\u005ctext{\u005c$9}
p4633
sg15
I1
sass(g1696
g4390
g4626
I1
tp4634
(dp4635
g6
VUnique[sym]
p4636
sg8
(lp4637
(dp4638
g11
(lp4639
sg13
V\u005ctext{sym\u005c$1}
p4640
sg15
I2
sass(g1696
g4390
g4626
I2
tp4641
(dp4642
g6
VUnique["x"]
p4643
sg8
(lp4644
(dp4645
g11
(lp4646
sg13
V\u005ctext{x10}
p4647
sg15
I3
sass(g1696
g4390
g4626
I7
tp4648
(dp4649
g6
V{$ModuleNumber, Unique[x], $ModuleNumber}
p4650
sg8
(lp4651
(dp4652
g11
(lp4653
sg13
V\u005cleft\u005c{2,\u005ctext{x\u005c$2},3\u005cright\u005c}
p4654
sg15
I4
sass(g1696
g4390
g4626
I8
tp4655
(dp4656
g6
V{Module[{x}, x], Unique[x]}
p4657
sg8
(lp4658
(dp4659
g11
(lp4660
sg13
V\u005cleft\u005c{\u005ctext{x\u005c$3},\u005ctext{x\u005c$4}\u005cright\u005c}
p4661
sg15
I5
sass(g1696
g4390
g4626
I9
tp4662
(dp4663
g6
VUnique[{x, "s"}, Flat ^ Listable ^ Orderless]
p4664
sg8
(lp4665
(dp4666
g11
(lp4667
(dp4668
g149
I01
sg150
VUnique
p4669
sg152
Vattnf
p4670
sg154
VUnique::attnf
p4671
sg156
VFlat ^ Listable ^ Orderless is not a known attribute.
p4672
sasg13
V\u005ctext{Unique}\u005cleft[\u005cleft\u005c{x,\u005ctext{s}\u005cright\u005c},\u005ctext{Flat}^{\u005ctext{Listable}^{\u005ctext{Orderless}}}\u005cright]
p4673
sg15
I6
sass(g1696
g4390
g4626
I10
tp4674
(dp4675
g6
VUnique[x + y]
p4676
sg8
(lp4677
(dp4678
g11
(lp4679
(dp4680
g149
I01
sg150
VUnique
p4681
sg152
Vusym
p4682
sg154
VUnique::usym
p4683
sg156
Vx + y is not a symbol or a valid symbol name.
p4684
sasg13
V\u005ctext{Unique}\u005cleft[x+y\u005cright]
p4685
sg15
I7
sass(g1696
g4390
VWith
p4686
I0
tp4687
(dp4688
g6
Vn = 10
p4689
sg8
(lp4690
(dp4691
g11
(lp4692
sg13
V10
p4693
sg15
I1
sass(g1696
g4390
g4686
I1
tp4694
(dp4695
g6
VWith[{x = a}, (1 + x^2) &]
p4696
sg8
(lp4697
(dp4698
g11
(lp4699
sg13
V1+a^2\u005c&
p4700
sg15
I2
sass(g1696
g4390
g4686
I2
tp4701
(dp4702
g6
VWith[{x=y}, Hold[x]]
p4703
sg8
(lp4704
(dp4705
g11
(lp4706
sg13
V\u005ctext{Hold}\u005cleft[y\u005cright]
p4707
sg15
I3
sass(g1696
g4390
g4686
I3
tp4708
(dp4709
g6
VTable[With[{i=j}, Hold[i]],{j,1,4}]
p4710
sg8
(lp4711
(dp4712
g11
(lp4713
sg13
V\u005cleft\u005c{\u005ctext{Hold}\u005cleft[1\u005cright],\u005ctext{Hold}\u005cleft[2\u005cright],\u005ctext{Hold}\u005cleft[3\u005cright],\u005ctext{Hold}\u005cleft[4\u005cright]\u005cright\u005c}
p4714
sg15
I4
sass(g1696
g4390
g4686
I4
tp4715
(dp4716
g6
Vx=5; With[{x=x}, Hold[x]]
p4717
sg8
(lp4718
(dp4719
g11
(lp4720
sg13
V\u005ctext{Hold}\u005cleft[5\u005cright]
p4721
sg15
I5
sass(g1696
g4390
g4686
I5
tp4722
(dp4723
g6
V{Block[{x = 3}, Hold[x]], With[{x = 3}, Hold[x]]}
p4724
sg8
(lp4725
(dp4726
g11
(lp4727
sg13
V\u005cleft\u005c{\u005ctext{Hold}\u005cleft[x\u005cright],\u005ctext{Hold}\u005cleft[3\u005cright]\u005cright\u005c}
p4728
sg15
I6
sass(g1696
g4390
g4686
I6
tp4729
(dp4730
g6
Vx=.; ReleaseHold /@ %
p4731
sg8
(lp4732
(dp4733
g11
(lp4734
sg13
V\u005cleft\u005c{x,3\u005cright\u005c}
p4735
sg15
I7
sass(g1696
g4390
g4686
I7
tp4736
(dp4737
g6
VWith[{e = y}, Function[{x,y}, e*x*y]]
p4738
sg8
(lp4739
(dp4740
g11
(lp4741
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{\u005ctext{x\u005c$},\u005ctext{y\u005c$}\u005cright\u005c},y \u005ctext{x\u005c$} \u005ctext{y\u005c$}\u005cright]
p4742
sg15
I8
sass(g1696
VRandom number generation
p4743
VRandomChoice
p4744
I0
tp4745
(dp4746
g6
VSeedRandom[42]
p4747
sg8
(lp4748
(dp4749
g11
(lp4750
sg13
Nsg15
I1
sass(g1696
g4743
g4744
I1
tp4751
(dp4752
g6
VRandomChoice[{a, b, c}]
p4753
sg8
(lp4754
(dp4755
g11
(lp4756
sg13
V\u005cleft\u005c{c\u005cright\u005c}
p4757
sg15
I2
sass(g1696
g4743
g4744
I2
tp4758
(dp4759
g6
VSeedRandom[42]
p4760
sg8
(lp4761
(dp4762
g11
(lp4763
sg13
Nsg15
I3
sass(g1696
g4743
g4744
I3
tp4764
(dp4765
g6
VRandomChoice[{a, b, c}, 20]
p4766
sg8
(lp4767
(dp4768
g11
(lp4769
sg13
V\u005cleft\u005c{c,a,c,c,a,a,c,b,c,c,c,c,a,c,b,a,b,b,b,b\u005cright\u005c}
p4770
sg15
I4
sass(g1696
g4743
g4744
I4
tp4771
(dp4772
g6
VSeedRandom[42]
p4773
sg8
(lp4774
(dp4775
g11
(lp4776
sg13
Nsg15
I5
sass(g1696
g4743
g4744
I5
tp4777
(dp4778
g6
VRandomChoice[{"a", {1, 2}, x, {}}, 10]
p4779
sg8
(lp4780
(dp4781
g11
(lp4782
sg13
V\u005cleft\u005c{x,\u005cleft\u005c{\u005cright\u005c},\u005ctext{a},x,x,\u005cleft\u005c{\u005cright\u005c},\u005ctext{a},\u005ctext{a},x,\u005cleft\u005c{1,2\u005cright\u005c}\u005cright\u005c}
p4783
sg15
I6
sass(g1696
g4743
g4744
I6
tp4784
(dp4785
g6
VSeedRandom[42]
p4786
sg8
(lp4787
(dp4788
g11
(lp4789
sg13
Nsg15
I7
sass(g1696
g4743
g4744
I7
tp4790
(dp4791
g6
VRandomChoice[{a, b, c}, {5, 2}]
p4792
sg8
(lp4793
(dp4794
g11
(lp4795
sg13
V\u005cleft\u005c{\u005cleft\u005c{c,a\u005cright\u005c},\u005cleft\u005c{c,c\u005cright\u005c},\u005cleft\u005c{a,a\u005cright\u005c},\u005cleft\u005c{c,b\u005cright\u005c},\u005cleft\u005c{c,c\u005cright\u005c}\u005cright\u005c}
p4796
sg15
I8
sass(g1696
g4743
g4744
I8
tp4797
(dp4798
g6
VSeedRandom[42]
p4799
sg8
(lp4800
(dp4801
g11
(lp4802
sg13
Nsg15
I9
sass(g1696
g4743
g4744
I9
tp4803
(dp4804
g6
VRandomChoice[{1, 100, 5} -> {a, b, c}, 20]
p4805
sg8
(lp4806
(dp4807
g11
(lp4808
sg13
V\u005cleft\u005c{b,b,b,b,b,b,b,b,b,b,b,c,b,b,b,b,b,b,b,b\u005cright\u005c}
p4809
sg15
I10
sass(g1696
g4743
VRandomComplex
p4810
I0
tp4811
(dp4812
g6
VRandomComplex[]
p4813
sg8
(lp4814
(dp4815
g11
(lp4816
sg13
V0.141484+0.268766 I
p4817
sg15
I1
sass(g1696
g4743
g4810
I2
tp4818
(dp4819
g6
VRandomComplex[{1+I, 5+5I}]
p4820
sg8
(lp4821
(dp4822
g11
(lp4823
sg13
V2.29635+4.90259 I
p4824
sg15
I2
sass(g1696
g4743
g4810
I4
tp4825
(dp4826
g6
VRandomComplex[1+I, 5]
p4827
sg8
(lp4828
(dp4829
g11
(lp4830
sg13
V\u005cleft\u005c{0.692032+0.905688 I,0.826388+0.482661 I,0.721135+0.703028 I,0.0870583+0.0365253 I,0.930318+0.0611352 I\u005cright\u005c}
p4831
sg15
I3
sass(g1696
g4743
g4810
I5
tp4832
(dp4833
g6
VRandomComplex[{1+I, 2+2I}, {2, 2}]
p4834
sg8
(lp4835
(dp4836
g11
(lp4837
sg13
V\u005cleft\u005c{\u005cleft\u005c{1.0819+1.2034 I,1.31206+1.90094 I\u005cright\u005c},\u005cleft\u005c{1.98909+1.95015 I,1.794+1.47541 I\u005cright\u005c}\u005cright\u005c}
p4838
sg15
I4
sass(g1696
g4743
VRandomInteger
p4839
I0
tp4840
(dp4841
g6
VRandomInteger[{1, 5}]
p4842
sg8
(lp4843
(dp4844
g11
(lp4845
sg13
V1
p4846
sg15
I1
sass(g1696
g4743
g4839
I2
tp4847
(dp4848
g6
VRandomInteger[100, {2, 3}] // TableForm
p4849
sg8
(lp4850
(dp4851
g11
(lp4852
sg13
V\u005cbegin{array}{ccc} 81 & 23 & 50\u005c\u005c 88 & 11 & 51\u005cend{array}
p4853
sg15
I2
sass(g1696
g4743
g4839
I3
tp4854
(dp4855
g6
VpreviousState = $RandomState;
p4856
sg8
(lp4857
(dp4858
g11
(lp4859
sg13
Nsg15
I3
sass(g1696
g4743
g4839
I4
tp4860
(dp4861
g6
VRandomInteger[]
p4862
sg8
(lp4863
(dp4864
g11
(lp4865
sg13
V0
p4866
sg15
I4
sass(g1696
g4743
g4839
I5
tp4867
(dp4868
g6
V$RandomState != previousState
p4869
sg8
(lp4870
(dp4871
g11
(lp4872
sg13
V\u005ctext{True}
p4873
sg15
I5
sass(g1696
g4743
VRandomReal
p4874
I0
tp4875
(dp4876
g6
VRandomReal[]
p4877
sg8
(lp4878
(dp4879
g11
(lp4880
sg13
V0.464535
p4881
sg15
I1
sass(g1696
g4743
g4874
I2
tp4882
(dp4883
g6
VRandomReal[{1, 5}]
p4884
sg8
(lp4885
(dp4886
g11
(lp4887
sg13
V3.41196
p4888
sg15
I2
sass(g1696
g4743
VRandomSample
p4889
I0
tp4890
(dp4891
g6
VSeedRandom[42]
p4892
sg8
(lp4893
(dp4894
g11
(lp4895
sg13
Nsg15
I1
sass(g1696
g4743
g4889
I1
tp4896
(dp4897
g6
VRandomSample[{a, b, c}]
p4898
sg8
(lp4899
(dp4900
g11
(lp4901
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p4902
sg15
I2
sass(g1696
g4743
g4889
I2
tp4903
(dp4904
g6
VSeedRandom[42]
p4905
sg8
(lp4906
(dp4907
g11
(lp4908
sg13
Nsg15
I3
sass(g1696
g4743
g4889
I3
tp4909
(dp4910
g6
VRandomSample[{a, b, c, d, e, f, g, h}, 7]
p4911
sg8
(lp4912
(dp4913
g11
(lp4914
sg13
V\u005cleft\u005c{b,f,a,h,c,e,d\u005cright\u005c}
p4915
sg15
I4
sass(g1696
g4743
g4889
I4
tp4916
(dp4917
g6
VSeedRandom[42]
p4918
sg8
(lp4919
(dp4920
g11
(lp4921
sg13
Nsg15
I5
sass(g1696
g4743
g4889
I5
tp4922
(dp4923
g6
VRandomSample[{"a", {1, 2}, x, {}}, 3]
p4924
sg8
(lp4925
(dp4926
g11
(lp4927
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{\u005cright\u005c},\u005ctext{a}\u005cright\u005c}
p4928
sg15
I6
sass(g1696
g4743
g4889
I6
tp4929
(dp4930
g6
VSeedRandom[42]
p4931
sg8
(lp4932
(dp4933
g11
(lp4934
sg13
Nsg15
I7
sass(g1696
g4743
g4889
I7
tp4935
(dp4936
g6
VRandomSample[Range[100], {2, 3}]
p4937
sg8
(lp4938
(dp4939
g11
(lp4940
sg13
V\u005cleft\u005c{\u005cleft\u005c{84,54,71\u005cright\u005c},\u005cleft\u005c{46,45,40\u005cright\u005c}\u005cright\u005c}
p4941
sg15
I8
sass(g1696
g4743
g4889
I8
tp4942
(dp4943
g6
VSeedRandom[42]
p4944
sg8
(lp4945
(dp4946
g11
(lp4947
sg13
Nsg15
I9
sass(g1696
g4743
g4889
I9
tp4948
(dp4949
g6
VRandomSample[Range[100] -> Range[100], 5]
p4950
sg8
(lp4951
(dp4952
g11
(lp4953
sg13
V\u005cleft\u005c{62,98,86,78,40\u005cright\u005c}
p4954
sg15
I10
sass(g1696
g4743
V$RandomState
p4955
I0
tp4956
(dp4957
g6
VMod[$RandomState, 10^100]
p4958
sg8
(lp4959
(dp4960
g11
(lp4961
sg13
V9242015758456728033095141830367451762178300450658174374825080602312615849733778406020543048770981934
p4962
sg15
I1
sass(g1696
g4743
g4955
I1
tp4963
(dp4964
g6
VIntegerLength[$RandomState]
p4965
sg8
(lp4966
(dp4967
g11
(lp4968
sg13
V6466
p4969
sg15
I2
sass(g1696
g4743
g4955
I2
tp4970
(dp4971
g6
V$RandomState = 42
p4972
sg8
(lp4973
(dp4974
g11
(lp4975
(dp4976
g149
I01
sg150
V$RandomState
p4977
sg152
Vrndst
p4978
sg154
V$RandomState::rndst
p4979
sg156
VIt is not possible to change the random state.
p4980
sasg13
V42
p4981
sg15
I3
sass(g1696
g4743
g4955
I3
tp4982
(dp4983
g6
V$RandomState = $RandomState;
p4984
sg8
(lp4985
(dp4986
g11
(lp4987
(dp4988
g149
I01
sg150
V$RandomState
p4989
sg152
g4978
sg154
V$RandomState::rndst
p4990
sg156
g4980
sasg13
Nsg15
I4
sass(g1696
g4743
VSeedRandom
p4991
I0
tp4992
(dp4993
g6
VSeedRandom[42]
p4994
sg8
(lp4995
(dp4996
g11
(lp4997
sg13
Nsg15
I1
sass(g1696
g4743
g4991
I1
tp4998
(dp4999
g6
VRandomInteger[100]
p5000
sg8
(lp5001
(dp5002
g11
(lp5003
sg13
V51
p5004
sg15
I2
sass(g1696
g4743
g4991
I2
tp5005
(dp5006
g6
VRandomInteger[100]
p5007
sg8
(lp5008
(dp5009
g11
(lp5010
sg13
V92
p5011
sg15
I3
sass(g1696
g4743
g4991
I3
tp5012
(dp5013
g6
VSeedRandom[42]
p5014
sg8
(lp5015
(dp5016
g11
(lp5017
sg13
Nsg15
I4
sass(g1696
g4743
g4991
I4
tp5018
(dp5019
g6
VRandomInteger[100]
p5020
sg8
(lp5021
(dp5022
g11
(lp5023
sg13
V51
p5024
sg15
I5
sass(g1696
g4743
g4991
I5
tp5025
(dp5026
g6
VRandomInteger[100]
p5027
sg8
(lp5028
(dp5029
g11
(lp5030
sg13
V92
p5031
sg15
I6
sass(g1696
g4743
g4991
I6
tp5032
(dp5033
g6
VSeedRandom["Mathics"]
p5034
sg8
(lp5035
(dp5036
g11
(lp5037
sg13
Nsg15
I7
sass(g1696
g4743
g4991
I7
tp5038
(dp5039
g6
VRandomInteger[100]
p5040
sg8
(lp5041
(dp5042
g11
(lp5043
sg13
V27
p5044
sg15
I8
sass(g1696
g4743
g4991
I8
tp5045
(dp5046
g6
VSeedRandom[]
p5047
sg8
(lp5048
(dp5049
g11
(lp5050
sg13
Nsg15
I9
sass(g1696
g4743
g4991
I9
tp5051
(dp5052
g6
VRandomInteger[100]
p5053
sg8
(lp5054
(dp5055
g11
(lp5056
sg13
V100
p5057
sg15
I10
sass(g1696
VCombinatorial Functions
p5058
VBinomial
p5059
I0
tp5060
(dp5061
g6
VBinomial[5, 3]
p5062
sg8
(lp5063
(dp5064
g11
(lp5065
sg13
V10
p5066
sg15
I1
sass(g1696
g5058
g5059
I1
tp5067
(dp5068
g6
VBinomial[10.5,3.2]
p5069
sg8
(lp5070
(dp5071
g11
(lp5072
sg13
V165.286
p5073
sg15
I2
sass(g1696
g5058
g5059
I2
tp5074
(dp5075
g6
VBinomial[10, -2]
p5076
sg8
(lp5077
(dp5078
g11
(lp5079
sg13
V0
p5080
sg15
I3
sass(g1696
g5058
g5059
I3
tp5081
(dp5082
g6
VBinomial[-10.5, -3.5]
p5083
sg8
(lp5084
(dp5085
g11
(lp5086
sg13
V0.
p5087
sg15
I4
sass(g1696
g5058
VDiceDissimilarity
p5088
I0
tp5089
(dp5090
g6
VDiceDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5091
sg8
(lp5092
(dp5093
g11
(lp5094
sg13
V\u005cfrac{1}{2}
p5095
sg15
I1
sass(g1696
g5058
VFibonacci
p5096
I0
tp5097
(dp5098
g6
VFibonacci[0]
p5099
sg8
(lp5100
(dp5101
g11
(lp5102
sg13
V0
p5103
sg15
I1
sass(g1696
g5058
g5096
I1
tp5104
(dp5105
g6
VFibonacci[1]
p5106
sg8
(lp5107
(dp5108
g11
(lp5109
sg13
V1
p5110
sg15
I2
sass(g1696
g5058
g5096
I2
tp5111
(dp5112
g6
VFibonacci[10]
p5113
sg8
(lp5114
(dp5115
g11
(lp5116
sg13
V55
p5117
sg15
I3
sass(g1696
g5058
g5096
I3
tp5118
(dp5119
g6
VFibonacci[200]
p5120
sg8
(lp5121
(dp5122
g11
(lp5123
sg13
V280571172992510140037611932413038677189525
p5124
sg15
I4
sass(g1696
g5058
VJaccardDissimilarity
p5125
I0
tp5126
(dp5127
g6
VJaccardDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5128
sg8
(lp5129
(dp5130
g11
(lp5131
sg13
V\u005cfrac{2}{3}
p5132
sg15
I1
sass(g1696
g5058
VMatchingDissimilarity
p5133
I0
tp5134
(dp5135
g6
VMatchingDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5136
sg8
(lp5137
(dp5138
g11
(lp5139
sg13
V\u005cfrac{4}{7}
p5140
sg15
I1
sass(g1696
g5058
VMultinomial
p5141
I0
tp5142
(dp5143
g6
VMultinomial[2, 3, 4, 5]
p5144
sg8
(lp5145
(dp5146
g11
(lp5147
sg13
V2522520
p5148
sg15
I1
sass(g1696
g5058
g5141
I1
tp5149
(dp5150
g6
VMultinomial[]
p5151
sg8
(lp5152
(dp5153
g11
(lp5154
sg13
V1
p5155
sg15
I2
sass(g1696
g5058
g5141
I2
tp5156
(dp5157
g6
VMultinomial[a, b, c]
p5158
sg8
(lp5159
(dp5160
g11
(lp5161
sg13
V\u005ctext{Binomial}\u005cleft[a,a\u005cright] \u005ctext{Binomial}\u005cleft[a+b,b\u005cright] \u005ctext{Binomial}\u005cleft[a+b+c,c\u005cright]
p5162
sg15
I3
sass(g1696
g5058
g5141
I3
tp5163
(dp5164
g6
VMultinomial[2, 3]
p5165
sg8
(lp5166
(dp5167
g11
(lp5168
sg13
V10
p5169
sg15
I4
sass(g1696
g5058
VRogersTanimotoDissimilarity
p5170
I0
tp5171
(dp5172
g6
VRogersTanimotoDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5173
sg8
(lp5174
(dp5175
g11
(lp5176
sg13
V\u005cfrac{8}{11}
p5177
sg15
I1
sass(g1696
g5058
VRussellRaoDissimilarity
p5178
I0
tp5179
(dp5180
g6
VRussellRaoDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5181
sg8
(lp5182
(dp5183
g11
(lp5184
sg13
V\u005cfrac{5}{7}
p5185
sg15
I1
sass(g1696
g5058
VSokalSneathDissimilarity
p5186
I0
tp5187
(dp5188
g6
VSokalSneathDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5189
sg8
(lp5190
(dp5191
g11
(lp5192
sg13
V\u005cfrac{4}{5}
p5193
sg15
I1
sass(g1696
g5058
VStirlingS1
p5194
I0
tp5195
(dp5196
g6
VStirlingS1[50, 1]
p5197
sg8
(lp5198
(dp5199
g11
(lp5200
sg13
V-608281864034267560872252163321295376887552831379210240000000000
p5201
sg15
I1
sass(g1696
g5058
VStirlingS2
p5202
I0
tp5203
(dp5204
g6
VTable[StirlingS2[10, m], {m, 10}]
p5205
sg8
(lp5206
(dp5207
g11
(lp5208
sg13
V\u005cleft\u005c{1,511,9330,34105,42525,22827,5880,750,45,1\u005cright\u005c}
p5209
sg15
I1
sass(g1696
g5058
VSubsets
p5210
I0
tp5211
(dp5212
g6
VSubsets[{a, b, c}]
p5213
sg8
(lp5214
(dp5215
g11
(lp5216
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{a,b,c\u005cright\u005c}\u005cright\u005c}
p5217
sg15
I1
sass(g1696
g5058
g5210
I1
tp5218
(dp5219
g6
VSubsets[{a, b, c, d}, 2]
p5220
sg8
(lp5221
(dp5222
g11
(lp5223
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c},\u005cleft\u005c{d\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{a,d\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{b,d\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}
p5224
sg15
I2
sass(g1696
g5058
g5210
I2
tp5225
(dp5226
g6
VSubsets[{a, b, c, d}, {2}]
p5227
sg8
(lp5228
(dp5229
g11
(lp5230
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{a,d\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{b,d\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}
p5231
sg15
I3
sass(g1696
g5058
g5210
I3
tp5232
(dp5233
g6
VSubsets[{a, b, c, d, e}, {3}, 5]
p5234
sg8
(lp5235
(dp5236
g11
(lp5237
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b,c\u005cright\u005c},\u005cleft\u005c{a,b,d\u005cright\u005c},\u005cleft\u005c{a,b,e\u005cright\u005c},\u005cleft\u005c{a,c,d\u005cright\u005c},\u005cleft\u005c{a,c,e\u005cright\u005c}\u005cright\u005c}
p5238
sg15
I4
sass(g1696
g5058
g5210
I4
tp5239
(dp5240
g6
VSubsets[{a, b, c, d, e}, {0, 5, 2}]
p5241
sg8
(lp5242
(dp5243
g11
(lp5244
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{a,d\u005cright\u005c},\u005cleft\u005c{a,e\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{b,d\u005cright\u005c},\u005cleft\u005c{b,e\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c},\u005cleft\u005c{c,e\u005cright\u005c},\u005cleft\u005c{d,e\u005cright\u005c},\u005cleft\u005c{a,b,c,d\u005cright\u005c},\u005cleft\u005c{a,b,c,e\u005cright\u005c},\u005cleft\u005c{a,b,d,e\u005cright\u005c},\u005cleft\u005c{a,c,d,e\u005cright\u005c},\u005cleft\u005c{b,c,d,e\u005cright\u005c}\u005cright\u005c}
p5245
sg15
I5
sass(g1696
g5058
g5210
I5
tp5246
(dp5247
g6
VSubsets[Range[5], All, {25}]
p5248
sg8
(lp5249
(dp5250
g11
(lp5251
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,4,5\u005cright\u005c}\u005cright\u005c}
p5252
sg15
I6
sass(g1696
g5058
g5210
I6
tp5253
(dp5254
g6
VSubsets[{a, b, c, d}, All, {15, 1, -2}]
p5255
sg8
(lp5256
(dp5257
g11
(lp5258
sg13
V\u005cleft\u005c{\u005cleft\u005c{b,c,d\u005cright\u005c},\u005cleft\u005c{a,b,d\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{d\u005cright\u005c},\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p5259
sg15
I7
sass(g1696
g5058
VYuleDissimilarity
p5260
I0
tp5261
(dp5262
g6
VYuleDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5263
sg8
(lp5264
(dp5265
g11
(lp5266
sg13
V\u005cfrac{6}{5}
p5267
sg15
I1
sass(g1696
VGlobal System Information
p5268
V$ByteOrdering
p5269
I0
tp5270
(dp5271
g6
V$ByteOrdering
p5272
sg8
(lp5273
(dp5274
g11
(lp5275
sg13
V-1
p5276
sg15
I1
sass(g1696
g5268
V$CommandLine
p5277
I0
tp5278
(dp5279
g6
V$CommandLine
p5280
sg8
(lp5281
(dp5282
g11
(lp5283
sg13
V\u005cleft\u005c{\u005ctext{mathics/test.py},\u005ctext{-ot},\u005ctext{-k}\u005cright\u005c}
p5284
sg15
I1
sass(g1696
g5268
VEnvironment
p5285
I0
tp5286
(dp5287
g6
VEnvironment["HOME"]
p5288
sg8
(lp5289
(dp5290
g11
(lp5291
sg13
V\u005ctext{/home/rocky}
p5292
sg15
I1
sass(g1696
g5268
VGetEnvironment
p5293
I0
tp5294
(dp5295
g6
VGetEnvironment["HOME"]
p5296
sg8
(lp5297
(dp5298
g11
(lp5299
sg13
V\u005ctext{HOME}->\u005ctext{/home/rocky}
p5300
sg15
I1
sass(g1696
g5268
V$Machine
p5301
I0
tp5302
(dp5303
g6
V$Machine
p5304
sg8
(lp5305
(dp5306
g11
(lp5307
sg13
V\u005ctext{linux}
p5308
sg15
I1
sass(g1696
g5268
V$MachineName
p5309
I0
tp5310
(dp5311
g6
V$MachineName
p5312
sg8
(lp5313
(dp5314
g11
(lp5315
sg13
V\u005ctext{muffin}
p5316
sg15
I1
sass(g1696
g5268
VMathicsVersion
p5317
I0
tp5318
(dp5319
g6
VMathicsVersion
p5320
sg8
(lp5321
(dp5322
g11
(lp5323
sg13
V\u005ctext{2.0.0}
p5324
sg15
I1
sass(g1696
g5268
VNames
p5325
I0
tp5326
(dp5327
g6
VNames["List"]
p5328
sg8
(lp5329
(dp5330
g11
(lp5331
sg13
V\u005cleft\u005c{\u005ctext{List}\u005cright\u005c}
p5332
sg15
I1
sass(g1696
g5268
g5325
I1
tp5333
(dp5334
g6
VNames["List*"]
p5335
sg8
(lp5336
(dp5337
g11
(lp5338
sg13
V\u005cleft\u005c{\u005ctext{List},\u005ctext{ListLinePlot},\u005ctext{ListPlot},\u005ctext{ListQ},\u005ctext{Listable}\u005cright\u005c}
p5339
sg15
I2
sass(g1696
g5268
g5325
I2
tp5340
(dp5341
g6
VNames["List@"]
p5342
sg8
(lp5343
(dp5344
g11
(lp5345
sg13
V\u005cleft\u005c{\u005ctext{Listable}\u005cright\u005c}
p5346
sg15
I3
sass(g1696
g5268
g5325
I3
tp5347
(dp5348
g6
Vx = 5;
p5349
sg8
(lp5350
(dp5351
g11
(lp5352
sg13
Nsg15
I4
sass(g1696
g5268
g5325
I4
tp5353
(dp5354
g6
VNames["Global`*"]
p5355
sg8
(lp5356
(dp5357
g11
(lp5358
sg13
V\u005cleft\u005c{\u005ctext{x}\u005cright\u005c}
p5359
sg15
I5
sass(g1696
g5268
g5325
I5
tp5360
(dp5361
g6
VLength[Names["System`*"]]
p5362
sg8
(lp5363
(dp5364
g11
(lp5365
sg13
V1075
p5366
sg15
I6
sass(g1696
g5268
V$Packages
p5367
I0
tp5368
(dp5369
g6
V$Packages
p5370
sg8
(lp5371
(dp5372
g11
(lp5373
sg13
V\u005cleft\u005c{\u005ctext{ImportExport`},\u005ctext{XML`},\u005ctext{Internal`},\u005ctext{System`},\u005ctext{Global`}\u005cright\u005c}
p5374
sg15
I1
sass(g1696
g5268
V$ParentProcessID
p5375
I0
tp5376
(dp5377
g6
V$ParentProcessID
p5378
sg8
(lp5379
(dp5380
g11
(lp5381
sg13
V2011145
p5382
sg15
I1
sass(g1696
g5268
V$ProcessID
p5383
I0
tp5384
(dp5385
g6
V$ProcessID
p5386
sg8
(lp5387
(dp5388
g11
(lp5389
sg13
V2011147
p5390
sg15
I1
sass(g1696
g5268
V$ProcessorType
p5391
I0
tp5392
(dp5393
g6
V$ProcessorType
p5394
sg8
(lp5395
(dp5396
g11
(lp5397
sg13
V\u005ctext{x86\u005c_64}
p5398
sg15
I1
sass(g1696
g5268
VRun
p5399
I0
tp5400
(dp5401
g6
VRun["date"]
p5402
sg8
(lp5403
(dp5404
g11
(lp5405
sg13
V0
p5406
sg15
I1
sass(g1696
g5268
V$ScriptCommandLine
p5407
I0
tp5408
(dp5409
g6
V$ScriptCommandLine
p5410
sg8
(lp5411
(dp5412
g11
(lp5413
sg13
V\u005cleft\u005c{\u005cright\u005c}
p5414
sg15
I1
sass(g1696
g5268
V$SystemID
p5415
I0
tp5416
(dp5417
g6
V$SystemID
p5418
sg8
(lp5419
(dp5420
g11
(lp5421
sg13
V\u005ctext{linux}
p5422
sg15
I1
sass(g1696
g5268
V$SystemWordLength
p5423
I0
tp5424
(dp5425
g6
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sg8
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sg15
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V$UserName
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I0
tp5432
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sg8
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sg15
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V$Version
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I0
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sg8
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sg15
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I0
tp5448
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sg8
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sg15
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V$Pre
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I0
tp5457
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g6
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p5459
sg8
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g11
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I1
sass(g1696
g5455
g5456
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tp5463
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V$Post := (Print["[Storing result...]"]; #1)&
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sg8
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sg156
V[Processing input...]
p5470
sa(dp5471
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sg156
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p5472
sasg13
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sass(g1696
g5455
g5456
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tp5473
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V$PrePrint := (Print["The result is:"]; {TimeUsed[], #1})&
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V[Processing input...]
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sa(dp5481
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sg156
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p5482
sasg13
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sass(g1696
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tp5483
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sg8
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sa(dp5491
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sg156
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sa(dp5493
g149
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sg156
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sasg13
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sg15
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sg8
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sasg13
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sass(g1696
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tp5504
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sg8
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V\u005ctext{True}
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sg15
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sass(g1696
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sg8
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V1 \u005ctext{kilogram}
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sg15
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sass(g1696
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VQuantity[10, "Meters"]
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sg8
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V10 \u005ctext{meter}
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sg15
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sass(g1696
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VQuantity[{10,20}, "Meters"]
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sg8
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V\u005cleft\u005c{10 \u005ctext{meter},20 \u005ctext{meter}\u005cright\u005c}
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sg15
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I0
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sg8
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sg8
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sg8
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V\u005cleft\u005c{10,20\u005cright\u005c}
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sg15
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sg8
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V\u005ctext{True}
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sg8
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sg152
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VQuantity::unkunit
p5588
sg156
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p5590
sg15
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sg8
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V\u005ctext{kilogram}
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sg15
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sass(g1696
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sg8
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V\u005ctext{meter}
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sg15
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sass(g1696
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sg8
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V\u005cleft\u005c{\u005ctext{meter},\u005ctext{meter}\u005cright\u005c}
p5612
sg15
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sass(g1696
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VUnitConvert
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I0
tp5614
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sg8
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V8.36859 \u005ctext{kilometer}
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sg15
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sass(g1696
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g5613
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sg8
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V1.72365 \u005ctext{kilogram}
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sg15
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sass(g1696
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p5628
VRSolve
p5629
I0
tp5630
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g6
VRSolve[a[n] == a[n+1], a[n], n]
p5632
sg8
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g11
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sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cleft[n\u005cright]->C\u005cleft[0\u005cright]\u005cright\u005c}\u005cright\u005c}
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sg15
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sass(g1696
g5628
g5629
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tp5637
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VRSolve[{a[n + 2] == a[n]}, a, n]
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sg8
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p5643
sg15
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sass(g1696
g5628
g5629
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tp5644
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VRSolve[{a[n + 2] == a[n], a[0] == 1}, a, n]
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sg8
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V\u005cleft\u005c{\u005cleft\u005c{a->\u005cleft(\u005ctext{Function}\u005cleft[\u005cleft\u005c{n\u005cright\u005c},1-C\u005cleft[1\u005cright]+C\u005cleft[1\u005cright] -1^n\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p5650
sg15
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sass(g1696
g5628
g5629
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tp5651
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g6
VRSolve[{a[n + 2] == a[n], a[0] == 1, a[1] == 4}, a, n]
p5653
sg8
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g11
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V\u005cleft\u005c{\u005cleft\u005c{a->\u005cleft(\u005ctext{Function}\u005cleft[\u005cleft\u005c{n\u005cright\u005c},\u005cfrac{5}{2}-\u005cfrac{3 -1^n}{2}\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p5657
sg15
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sass(g1696
VPatterns and Rules
p5658
g1267
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tp5659
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g6
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sg8
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g11
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Vc+t
p5665
sg15
I1
sass(g1696
g5658
g1267
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tp5666
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Va + 2 + b + c + x * y /. n_Integer + s__Symbol + rest_ -> {n, s, rest}
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sg8
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V\u005cleft\u005c{2,a,b+c+x y\u005cright\u005c}
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sg15
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g1267
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tp5673
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Vf[a, b, c, d] /. f[first_, rest___] -> {first, {rest}}
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sg8
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V\u005cleft\u005c{a,\u005cleft\u005c{b,c,d\u005cright\u005c}\u005cright\u005c}
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sg15
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g1267
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tp5680
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g6
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sg8
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V16
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sg15
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g1267
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Vf[4] /. f[x_] /; x > 0 -> x ^ 2
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sg8
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V16
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sg15
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g1267
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Vf[a, b, c, d] /. f[start__, end__] -> {{start}, {end}}
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sg8
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g11
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V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{b,c,d\u005cright\u005c}\u005cright\u005c}
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sg15
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g1267
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Vf[a] /. f[x_, y_:3] -> {x, y}
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g11
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V\u005cleft\u005c{a,3\u005cright\u005c}
p5707
sg15
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g5658
g1267
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tp5708
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Vf[y, a->3] /. f[x_, OptionsPattern[{a->2, b->5}]] -> {x, OptionValue[a], OptionValue[b]}
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g11
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sg13
V\u005cleft\u005c{y,3,5\u005cright\u005c}
p5714
sg15
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I0
tp5716
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g6
Va+b+c+d/.(a|b)->t
p5718
sg8
(lp5719
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g11
(lp5721
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Vc+d+2 t
p5722
sg15
I1
sass(g1696
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g5715
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VStringReplace["0123 3210", "1" | "2" -> "X"]
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sg8
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V\u005ctext{0XX3 3XX0}
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sg15
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VBlank
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I0
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sg8
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g11
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V\u005ctext{True}
p5737
sg15
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g5658
g5730
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tp5738
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g6
VMatchQ[42, _Integer]
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sg8
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V\u005ctext{True}
p5744
sg15
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g5730
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tp5745
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g6
VMatchQ[1.0, _Integer]
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sg8
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V\u005ctext{False}
p5751
sg15
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g5658
g5730
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tp5752
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V{42, 1.0, x} /. {_Integer -> "integer", _Real -> "real"} // InputForm
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sg15
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g5658
g5730
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tp5759
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V\u005ctext{False}
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VBlankNullSequence
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I0
tp5767
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V\u005ctext{True}
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sg15
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V\u005ctext{True}
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sg15
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tp5782
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g6
VMatchQ[f[], f[__]]
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sg8
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V\u005ctext{False}
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VMatchQ[f[1, 2, 3], f[__Integer]]
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V\u005ctext{True}
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VMatchQ[f[1, 2.0, 3], f[__Integer]]
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V\u005ctext{False}
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Vf[1, 2, 3] /. f[x__] -> x
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V\u005ctext{Sequence}\u005cleft[1,2,3\u005cright]
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Vf[3] /. f[x_] /; x>0 -> t
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Vf[-3] /. f[x_] /; x>0 -> t
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Vf\u005cleft[-3\u005cright]
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Vf[3]
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Vp\u005cleft[3\u005cright]
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Vf[-3]
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Vf\u005cleft[-3\u005cright]
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V\u005cleft\u005c{a,b,c\u005cright\u005c}
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VStringReplace["Hello world!", Except[LetterCharacter] -> ""]
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VHoldPattern[x + x]
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V\u005ctext{HoldPattern}\u005cleft[x+x\u005cright]
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VAttributes[HoldPattern]
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VStringCases["aabaaab", Longest["a" ~~ __ ~~ "b"]]
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g5887
I1
tp5895
(dp5896
g6
VStringCases["aabaaab", Longest[RegularExpression["a+b"]]]
p5897
sg8
(lp5898
(dp5899
g11
(lp5900
sg13
V\u005cleft\u005c{\u005ctext{aab},\u005ctext{aaab}\u005cright\u005c}
p5901
sg15
I2
sass(g1696
g5658
VMatchQ
p5902
I0
tp5903
(dp5904
g6
VMatchQ[123, _Integer]
p5905
sg8
(lp5906
(dp5907
g11
(lp5908
sg13
V\u005ctext{True}
p5909
sg15
I1
sass(g1696
g5658
g5902
I1
tp5910
(dp5911
g6
VMatchQ[123, _Real]
p5912
sg8
(lp5913
(dp5914
g11
(lp5915
sg13
V\u005ctext{False}
p5916
sg15
I2
sass(g1696
g5658
g5902
I2
tp5917
(dp5918
g6
VMatchQ[_Integer][123]
p5919
sg8
(lp5920
(dp5921
g11
(lp5922
sg13
V\u005ctext{True}
p5923
sg15
I3
sass(g1696
g5658
VOptional
p5924
I0
tp5925
(dp5926
g6
Vf[x_, y_:1] := {x, y}
p5927
sg8
(lp5928
(dp5929
g11
(lp5930
sg13
Nsg15
I1
sass(g1696
g5658
g5924
I1
tp5931
(dp5932
g6
Vf[1, 2]
p5933
sg8
(lp5934
(dp5935
g11
(lp5936
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p5937
sg15
I2
sass(g1696
g5658
g5924
I2
tp5938
(dp5939
g6
Vf[a]
p5940
sg8
(lp5941
(dp5942
g11
(lp5943
sg13
V\u005cleft\u005c{a,1\u005cright\u005c}
p5944
sg15
I3
sass(g1696
g5658
g5924
I3
tp5945
(dp5946
g6
Vx:_ // FullForm
p5947
sg8
(lp5948
(dp5949
g11
(lp5950
sg13
V\u005ctext{Pattern}\u005cleft[x, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright]
p5951
sg15
I4
sass(g1696
g5658
g5924
I4
tp5952
(dp5953
g6
V_:d // FullForm
p5954
sg8
(lp5955
(dp5956
g11
(lp5957
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Blank}\u005cleft[\u005cright], d\u005cright]
p5958
sg15
I5
sass(g1696
g5658
g5924
I5
tp5959
(dp5960
g6
Vx:_+y_:d // FullForm
p5961
sg8
(lp5962
(dp5963
g11
(lp5964
sg13
V\u005ctext{Pattern}\u005cleft[x, \u005ctext{Plus}\u005cleft[\u005ctext{Blank}\u005cleft[\u005cright], \u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[y, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright], d\u005cright]\u005cright]\u005cright]
p5965
sg15
I6
sass(g1696
g5658
g5924
I6
tp5966
(dp5967
g6
VFullForm[s_.]
p5968
sg8
(lp5969
(dp5970
g11
(lp5971
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[s, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright]\u005cright]
p5972
sg15
I7
sass(g1696
g5658
g5924
I7
tp5973
(dp5974
g6
VDefault[h, k_] := k
p5975
sg8
(lp5976
(dp5977
g11
(lp5978
sg13
Nsg15
I8
sass(g1696
g5658
g5924
I8
tp5979
(dp5980
g6
Vh[a] /. h[x_, y_.] -> {x, y}
p5981
sg8
(lp5982
(dp5983
g11
(lp5984
sg13
V\u005cleft\u005c{a,2\u005cright\u005c}
p5985
sg15
I9
sass(g1696
g5658
VOptionsPattern
p5986
I0
tp5987
(dp5988
g6
Vf[x_, OptionsPattern[{n->2}]] := x ^ OptionValue[n]
p5989
sg8
(lp5990
(dp5991
g11
(lp5992
sg13
Nsg15
I1
sass(g1696
g5658
g5986
I1
tp5993
(dp5994
g6
Vf[x]
p5995
sg8
(lp5996
(dp5997
g11
(lp5998
sg13
Vx^2
p5999
sg15
I2
sass(g1696
g5658
g5986
I2
tp6000
(dp6001
g6
Vf[x, n->3]
p6002
sg8
(lp6003
(dp6004
g11
(lp6005
sg13
Vx^3
p6006
sg15
I3
sass(g1696
g5658
g5986
I3
tp6007
(dp6008
g6
Ve = f[x, n:>a]
p6009
sg8
(lp6010
(dp6011
g11
(lp6012
sg13
Vx^a
p6013
sg15
I4
sass(g1696
g5658
g5986
I4
tp6014
(dp6015
g6
Va = 5;
p6016
sg8
(lp6017
(dp6018
g11
(lp6019
sg13
Nsg15
I5
sass(g1696
g5658
g5986
I5
tp6020
(dp6021
g6
Ve
p6022
sg8
(lp6023
(dp6024
g11
(lp6025
sg13
Vx^5
p6026
sg15
I6
sass(g1696
g5658
g5986
I6
tp6027
(dp6028
g6
Vf[x, {{{n->4}}}]
p6029
sg8
(lp6030
(dp6031
g11
(lp6032
sg13
Vx^4
p6033
sg15
I7
sass(g1696
g5658
VPatternTest
p6034
I0
tp6035
(dp6036
g6
VMatchQ[3, _Integer?(#>0&)]
p6037
sg8
(lp6038
(dp6039
g11
(lp6040
sg13
V\u005ctext{True}
p6041
sg15
I1
sass(g1696
g5658
g6034
I1
tp6042
(dp6043
g6
VMatchQ[-3, _Integer?(#>0&)]
p6044
sg8
(lp6045
(dp6046
g11
(lp6047
sg13
V\u005ctext{False}
p6048
sg15
I2
sass(g1696
g5658
VPattern
p6049
I0
tp6050
(dp6051
g6
VFullForm[a_b]
p6052
sg8
(lp6053
(dp6054
g11
(lp6055
sg13
V\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[b\u005cright]\u005cright]
p6056
sg15
I1
sass(g1696
g5658
g6049
I1
tp6057
(dp6058
g6
VFullForm[a:_:b]
p6059
sg8
(lp6060
(dp6061
g11
(lp6062
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright], b\u005cright]
p6063
sg15
I2
sass(g1696
g5658
g6049
I2
tp6064
(dp6065
g6
Vx = 2
p6066
sg8
(lp6067
(dp6068
g11
(lp6069
sg13
V2
p6070
sg15
I3
sass(g1696
g5658
g6049
I3
tp6071
(dp6072
g6
Vx_
p6073
sg8
(lp6074
(dp6075
g11
(lp6076
sg13
V\u005ctext{x\u005c_}
p6077
sg15
I4
sass(g1696
g5658
g6049
I4
tp6078
(dp6079
g6
Vf[y] /. f[a:b,_:d] -> {a, b}
p6080
sg8
(lp6081
(dp6082
g11
(lp6083
sg13
Vf\u005cleft[y\u005cright]
p6084
sg15
I5
sass(g1696
g5658
g6049
I5
tp6085
(dp6086
g6
Vf[a] /. f[a:_:b] -> {a, b}
p6087
sg8
(lp6088
(dp6089
g11
(lp6090
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p6091
sg15
I6
sass(g1696
g5658
g6049
I6
tp6092
(dp6093
g6
VFullForm[a:b:c:d:e]
p6094
sg8
(lp6095
(dp6096
g11
(lp6097
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[a, b\u005cright], \u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[c, d\u005cright], e\u005cright]\u005cright]
p6098
sg15
I7
sass(g1696
g5658
g6049
I7
tp6099
(dp6100
g6
Vf[] /. f[a:_:b] -> {a, b}
p6101
sg8
(lp6102
(dp6103
g11
(lp6104
sg13
V\u005cleft\u005c{b,b\u005cright\u005c}
p6105
sg15
I8
sass(g1696
g5658
VRepeated
p6106
I0
tp6107
(dp6108
g6
Va_Integer.. // FullForm
p6109
sg8
(lp6110
(dp6111
g11
(lp6112
sg13
V\u005ctext{Repeated}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[\u005ctext{Integer}\u005cright]\u005cright]\u005cright]
p6113
sg15
I1
sass(g1696
g5658
g6106
I1
tp6114
(dp6115
g6
V0..1//FullForm
p6116
sg8
(lp6117
(dp6118
g11
(lp6119
sg13
V\u005ctext{Repeated}\u005cleft[0\u005cright]
p6120
sg15
I2
sass(g1696
g5658
g6106
I2
tp6121
(dp6122
g6
V{{}, {a}, {a, b}, {a, a, a}, {a, a, a, a}} /. {Repeated[x : a | b, 3]} -> x
p6123
sg8
(lp6124
(dp6125
g11
(lp6126
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c},a,\u005cleft\u005c{a,b\u005cright\u005c},a,\u005cleft\u005c{a,a,a,a\u005cright\u005c}\u005cright\u005c}
p6127
sg15
I3
sass(g1696
g5658
g6106
I3
tp6128
(dp6129
g6
Vf[x, 0, 0, 0] /. f[x, s:0..] -> s
p6130
sg8
(lp6131
(dp6132
g11
(lp6133
sg13
V\u005ctext{Sequence}\u005cleft[0,0,0\u005cright]
p6134
sg15
I4
sass(g1696
g5658
VRepeatedNull
p6135
I0
tp6136
(dp6137
g6
Va___Integer...//FullForm
p6138
sg8
(lp6139
(dp6140
g11
(lp6141
sg13
V\u005ctext{RepeatedNull}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{BlankNullSequence}\u005cleft[\u005ctext{Integer}\u005cright]\u005cright]\u005cright]
p6142
sg15
I1
sass(g1696
g5658
g6135
I1
tp6143
(dp6144
g6
Vf[x] /. f[x, 0...] -> t
p6145
sg8
(lp6146
(dp6147
g11
(lp6148
sg13
g979
sg15
I2
sass(g1696
g5658
VReplace
p6149
I0
tp6150
(dp6151
g6
VReplace[x, {x -> 2}]
p6152
sg8
(lp6153
(dp6154
g11
(lp6155
sg13
V2
p6156
sg15
I1
sass(g1696
g5658
g6149
I1
tp6157
(dp6158
g6
VReplace[1 + x, {x -> 2}]
p6159
sg8
(lp6160
(dp6161
g11
(lp6162
sg13
V1+x
p6163
sg15
I2
sass(g1696
g5658
g6149
I2
tp6164
(dp6165
g6
VReplace[x, {{x -> 1}, {x -> 2}}]
p6166
sg8
(lp6167
(dp6168
g11
(lp6169
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p6170
sg15
I3
sass(g1696
g5658
g6149
I3
tp6171
(dp6172
g6
VReplace[x, {x -> {}, _List -> y}]
p6173
sg8
(lp6174
(dp6175
g11
(lp6176
sg13
V\u005cleft\u005c{\u005cright\u005c}
p6177
sg15
I4
sass(g1696
g5658
g6149
I4
tp6178
(dp6179
g6
VReplace[x[1], {x[1] -> y, 1 -> 2}, All]
p6180
sg8
(lp6181
(dp6182
g11
(lp6183
sg13
Vx\u005cleft[2\u005cright]
p6184
sg15
I5
sass(g1696
g5658
g6149
I5
tp6185
(dp6186
g6
VReplace[x[x[y]], x -> z, All]
p6187
sg8
(lp6188
(dp6189
g11
(lp6190
sg13
Vx\u005cleft[x\u005cleft[y\u005cright]\u005cright]
p6191
sg15
I6
sass(g1696
g5658
g6149
I6
tp6192
(dp6193
g6
VReplace[x[x[y]], x -> z, All, Heads -> True]
p6194
sg8
(lp6195
(dp6196
g11
(lp6197
sg13
Vz\u005cleft[z\u005cleft[y\u005cright]\u005cright]
p6198
sg15
I7
sass(g1696
g5658
g6149
I7
tp6199
(dp6200
g6
VReplace[x[x[y]], x -> z, {1}, Heads -> True]
p6201
sg8
(lp6202
(dp6203
g11
(lp6204
sg13
Vz\u005cleft[x\u005cleft[y\u005cright]\u005cright]
p6205
sg15
I8
sass(g1696
g5658
g6149
I8
tp6206
(dp6207
g6
VReplace[{x_ -> x + 1}][10]
p6208
sg8
(lp6209
(dp6210
g11
(lp6211
sg13
V11
p6212
sg15
I9
sass(g1696
g5658
VReplaceAll
p6213
I0
tp6214
(dp6215
g6
Va+b+c /. c->d
p6216
sg8
(lp6217
(dp6218
g11
(lp6219
sg13
Va+b+d
p6220
sg15
I1
sass(g1696
g5658
g6213
I1
tp6221
(dp6222
g6
Vg[a+b+c,a]/.g[x_+y_,x_]->{x,y}
p6223
sg8
(lp6224
(dp6225
g11
(lp6226
sg13
V\u005cleft\u005c{a,b+c\u005cright\u005c}
p6227
sg15
I2
sass(g1696
g5658
g6213
I2
tp6228
(dp6229
g6
V{a, b} /. {{a->x, b->y}, {a->u, b->v}}
p6230
sg8
(lp6231
(dp6232
g11
(lp6233
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c},\u005cleft\u005c{u,v\u005cright\u005c}\u005cright\u005c}
p6234
sg15
I3
sass(g1696
g5658
g6213
I3
tp6235
(dp6236
g6
V{a, b} /. {{{a->x, b->y}, {a->w, b->z}}, {a->u, b->v}}
p6237
sg8
(lp6238
(dp6239
g11
(lp6240
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c},\u005cleft\u005c{w,z\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{u,v\u005cright\u005c}\u005cright\u005c}
p6241
sg15
I4
sass(g1696
g5658
g6213
I4
tp6242
(dp6243
g6
V{a, b} /. {{{a->x, b->y}, a->w, b->z}, {a->u, b->v}}
p6244
sg8
(lp6245
(dp6246
g11
(lp6247
(dp6248
g149
I01
sg150
VReplaceAll
p6249
sg152
Vrmix
p6250
sg154
VReplaceAll::rmix
p6251
sg156
VElements of {{a -> x, b -> y}, a -> w, b -> z} are a mixture of lists and nonlists.
p6252
sasg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c}\u005ctext{/.}\u005cleft\u005c{\u005cleft\u005c{a->x,b->y\u005cright\u005c},a->w,b->z\u005cright\u005c},\u005cleft\u005c{u,v\u005cright\u005c}\u005cright\u005c}
p6253
sg15
I5
sass(g1696
g5658
g6213
I5
tp6254
(dp6255
g6
VReplaceAll[{a -> 1}][{a, b}]
p6256
sg8
(lp6257
(dp6258
g11
(lp6259
sg13
V\u005cleft\u005c{1,b\u005cright\u005c}
p6260
sg15
I6
sass(g1696
g5658
g6213
I7
tp6261
(dp6262
g6
VReplaceAll[x[1], {x[1] -> y, 1 -> 2}]
p6263
sg8
(lp6264
(dp6265
g11
(lp6266
sg13
g2055
sg15
I7
sass(g1696
g5658
VReplaceList
p6267
I0
tp6268
(dp6269
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}]
p6270
sg8
(lp6271
(dp6272
g11
(lp6273
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,b,c\u005cright\u005c},\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p6274
sg15
I1
sass(g1696
g5658
g6267
I1
tp6275
(dp6276
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}, 3]
p6277
sg8
(lp6278
(dp6279
g11
(lp6280
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,b,c\u005cright\u005c}\u005cright\u005c}
p6281
sg15
I2
sass(g1696
g5658
g6267
I2
tp6282
(dp6283
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}, 0]
p6284
sg8
(lp6285
(dp6286
g11
(lp6287
sg13
V\u005cleft\u005c{\u005cright\u005c}
p6288
sg15
I3
sass(g1696
g5658
g6267
I3
tp6289
(dp6290
g6
VReplaceList[a, b->x]
p6291
sg8
(lp6292
(dp6293
g11
(lp6294
sg13
V\u005cleft\u005c{\u005cright\u005c}
p6295
sg15
I4
sass(g1696
g5658
g6267
I4
tp6296
(dp6297
g6
VReplaceList[{a, b, c}, {{{___, x__, ___} -> {x}}, {{a, b, c} -> t}}, 2]
p6298
sg8
(lp6299
(dp6300
g11
(lp6301
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{t\u005cright\u005c}\u005cright\u005c}
p6302
sg15
I5
sass(g1696
g5658
g6267
I5
tp6303
(dp6304
g6
VReplaceList[expr, {}, -1]
p6305
sg8
(lp6306
(dp6307
g11
(lp6308
(dp6309
g149
I01
sg150
VReplaceList
p6310
sg152
Vinnf
p6311
sg154
VReplaceList::innf
p6312
sg156
VNon-negative integer or Infinity expected at position 3.
p6313
sasg13
V\u005ctext{ReplaceList}\u005cleft[\u005ctext{expr},\u005cleft\u005c{\u005cright\u005c},-1\u005cright]
p6314
sg15
I6
sass(g1696
g5658
g6267
I6
tp6315
(dp6316
g6
VReplaceList[a + b + c, x_ + y_ -> {x, y}]
p6317
sg8
(lp6318
(dp6319
g11
(lp6320
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b+c\u005cright\u005c},\u005cleft\u005c{b,a+c\u005cright\u005c},\u005cleft\u005c{c,a+b\u005cright\u005c},\u005cleft\u005c{a+b,c\u005cright\u005c},\u005cleft\u005c{a+c,b\u005cright\u005c},\u005cleft\u005c{b+c,a\u005cright\u005c}\u005cright\u005c}
p6321
sg15
I7
sass(g1696
g5658
VReplaceRepeated
p6322
I0
tp6323
(dp6324
g6
Va+b+c //. c->d
p6325
sg8
(lp6326
(dp6327
g11
(lp6328
sg13
Va+b+d
p6329
sg15
I1
sass(g1696
g5658
g6322
I1
tp6330
(dp6331
g6
Vlogrules = {Log[x_ * y_] :> Log[x] + Log[y], Log[x_ ^ y_] :> y * Log[x]};
p6332
sg8
(lp6333
(dp6334
g11
(lp6335
sg13
Nsg15
I2
sass(g1696
g5658
g6322
I2
tp6336
(dp6337
g6
VLog[a * (b * c) ^ d ^ e * f] //. logrules
p6338
sg8
(lp6339
(dp6340
g11
(lp6341
sg13
V\u005ctext{Log}\u005cleft[a\u005cright]+\u005ctext{Log}\u005cleft[f\u005cright]+\u005cleft(\u005ctext{Log}\u005cleft[b\u005cright]+\u005ctext{Log}\u005cleft[c\u005cright]\u005cright) d^e
p6342
sg15
I3
sass(g1696
g5658
g6322
I3
tp6343
(dp6344
g6
VLog[a * (b * c) ^ d ^ e * f] /. logrules
p6345
sg8
(lp6346
(dp6347
g11
(lp6348
sg13
V\u005ctext{Log}\u005cleft[a\u005cright]+\u005ctext{Log}\u005cleft[f \u005cleft(b c\u005cright)^{d^e}\u005cright]
p6349
sg15
I4
sass(g1696
g5658
VRuleDelayed
p6350
I0
tp6351
(dp6352
g6
VAttributes[RuleDelayed]
p6353
sg8
(lp6354
(dp6355
g11
(lp6356
sg13
V\u005cleft\u005c{\u005ctext{HoldRest},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p6357
sg15
I1
sass(g1696
g5658
VRule
p6358
I0
tp6359
(dp6360
g6
Va+b+c /. c->d
p6361
sg8
(lp6362
(dp6363
g11
(lp6364
sg13
Va+b+d
p6365
sg15
I1
sass(g1696
g5658
g6358
I1
tp6366
(dp6367
g6
V{x,x^2,y} /. x->3
p6368
sg8
(lp6369
(dp6370
g11
(lp6371
sg13
V\u005cleft\u005c{3,9,y\u005cright\u005c}
p6372
sg15
I2
sass(g1696
g5658
VVerbatim
p6373
I0
tp6374
(dp6375
g6
V_ /. Verbatim[_]->t
p6376
sg8
(lp6377
(dp6378
g11
(lp6379
sg13
g979
sg15
I1
sass(g1696
g5658
g6373
I1
tp6380
(dp6381
g6
Vx /. Verbatim[_]->t
p6382
sg8
(lp6383
(dp6384
g11
(lp6385
sg13
g195
sg15
I2
sass(g1696
g5658
g6373
I2
tp6386
(dp6387
g6
Vx /. _->t
p6388
sg8
(lp6389
(dp6390
g11
(lp6391
sg13
g979
sg15
I3
sass(g1696
VMathematical Functions
p6392
VAbs
p6393
I0
tp6394
(dp6395
g6
VAbs[-3]
p6396
sg8
(lp6397
(dp6398
g11
(lp6399
sg13
V3
p6400
sg15
I1
sass(g1696
g6392
g6393
I1
tp6401
(dp6402
g6
VAbs[3 + I]
p6403
sg8
(lp6404
(dp6405
g11
(lp6406
sg13
V\u005csqrt{10}
p6407
sg15
I2
sass(g1696
g6392
g6393
I2
tp6408
(dp6409
g6
VAbs[3.0 + I]
p6410
sg8
(lp6411
(dp6412
g11
(lp6413
sg13
V3.16228
p6414
sg15
I3
sass(g1696
g6392
g6393
I3
tp6415
(dp6416
g6
VPlot[Abs[x], {x, -4, 4}]
p6417
sg8
(lp6418
(dp6419
g11
(lp6420
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((0,235.977)--(7.1429,227.95)--(14.286,219.924)--(21.429,211.897)--(28.571,203.871)--(35.714,195.845)--(42.857,187.818)--(50,179.792)--(57.143,171.765)--(64.286,163.739)--(71.429,155.712)--(78.571,147.686)--(85.714,139.66)--(92.857,131.633)--(100,123.607)--(107.14,115.58)--(114.29,107.554)--(121.43,99.5276)--(128.57,91.5011)--(135.71,83.4747)--(142.86,75.4483)--(150,67.4219)--(157.14,59.3955)--(164.29,51.3691)--(171.43,43.3426)--(178.57,35.3162)--(185.71,27.2898)--(192.86,19.2634)--(196.43,15.2502)--(198.21,13.2436)--(199.11,12.2403)--(200,11.237)--(200.89,12.2403)--(201.79,13.2436)--(203.57,15.2502)--(207.14,19.2634)--(214.29,27.2898)--(221.43,35.3162)--(228.57,43.3426)--(235.71,51.3691)--(242.86,59.3955)--(250,67.4219)--(257.14,75.4483)--(264.29,83.4747)--(271.43,91.5011)--(278.57,99.5276)--(285.71,107.554)--(292.86,115.58)--(300,123.607)--(307.14,131.633)--(314.29,139.66)--(321.43,147.686)--(328.57,155.712)--(335.71,163.739)--(342.86,171.765)--(350,179.792)--(357.14,187.818)--(364.29,195.845)--(371.43,203.871)--(378.57,211.897)--(385.71,219.924)--(392.86,227.95)--(400,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,11.237)--(416,11.237), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (0.0,8.570314946967784), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (100.0,8.570314946967784), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (300.0,8.570314946967784), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,8.570314946967784), (0,-1), rgb(0, 0, 0));\u000adraw((0,11.237)--(0,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((100,11.237)--(100,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((300,11.237)--(300,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((400,11.237)--(400,17.9036), rgb(0, 0, 0)+linewidth(0.66667));draw((25,11.237)--(25,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((50,11.237)--(50,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((75,11.237)--(75,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((125,11.237)--(125,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((150,11.237)--(150,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((175,11.237)--(175,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((225,11.237)--(225,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((250,11.237)--(250,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((275,11.237)--(275,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((325,11.237)--(325,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((350,11.237)--(350,15.237), rgb(0, 0, 0)+linewidth(0.66667));draw((375,11.237)--(375,15.237), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (197.33333333333334,67.4218896818067), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (197.33333333333334,123.60679774997895), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (197.33333333333334,179.7917058181512), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (197.33333333333334,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((200,67.4219)--(206.67,67.4219), rgb(0, 0, 0)+linewidth(0.66667));draw((200,123.607)--(206.67,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,179.792)--(206.67,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((200,235.977)--(206.67,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((200,    0)--(204,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((200,22.474)--(204,22.474), rgb(0, 0, 0)+linewidth(0.66667));draw((200,33.7109)--(204,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((200,44.9479)--(204,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((200,56.1849)--(204,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((200,78.6589)--(204,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((200,89.8959)--(204,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((200,101.133)--(204,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((200,112.37)--(204,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.844)--(204,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((200,146.081)--(204,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((200,157.318)--(204,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((200,168.555)--(204,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.029)--(204,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((200,202.266)--(204,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((200,213.503)--(204,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((200,224.74)--(204,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.214)--(204,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p6421
sg15
I4
sass(g1696
g6392
VBoole
p6422
I0
tp6423
(dp6424
g6
VBoole[2 == 2]
p6425
sg8
(lp6426
(dp6427
g11
(lp6428
sg13
V1
p6429
sg15
I1
sass(g1696
g6392
g6422
I1
tp6430
(dp6431
g6
VBoole[7 < 5]
p6432
sg8
(lp6433
(dp6434
g11
(lp6435
sg13
V0
p6436
sg15
I2
sass(g1696
g6392
g6422
I2
tp6437
(dp6438
g6
VBoole[a == 7]
p6439
sg8
(lp6440
(dp6441
g11
(lp6442
sg13
V\u005ctext{Boole}\u005cleft[a\u005ctext{==}7\u005cright]
p6443
sg15
I3
sass(g1696
g6392
VComplex
p6444
I0
tp6445
(dp6446
g6
VHead[2 + 3*I]
p6447
sg8
(lp6448
(dp6449
g11
(lp6450
sg13
V\u005ctext{Complex}
p6451
sg15
I1
sass(g1696
g6392
g6444
I1
tp6452
(dp6453
g6
VComplex[1, 2/3]
p6454
sg8
(lp6455
(dp6456
g11
(lp6457
sg13
V1+\u005cfrac{2 I}{3}
p6458
sg15
I2
sass(g1696
g6392
g6444
I2
tp6459
(dp6460
g6
VAbs[Complex[3, 4]]
p6461
sg8
(lp6462
(dp6463
g11
(lp6464
sg13
V5
p6465
sg15
I3
sass(g1696
g6392
VConjugate
p6466
I0
tp6467
(dp6468
g6
VConjugate[3 + 4 I]
p6469
sg8
(lp6470
(dp6471
g11
(lp6472
sg13
V3-4 I
p6473
sg15
I1
sass(g1696
g6392
g6466
I1
tp6474
(dp6475
g6
VConjugate[3]
p6476
sg8
(lp6477
(dp6478
g11
(lp6479
sg13
V3
p6480
sg15
I2
sass(g1696
g6392
g6466
I2
tp6481
(dp6482
g6
VConjugate[a + b * I]
p6483
sg8
(lp6484
(dp6485
g11
(lp6486
sg13
V\u005ctext{Conjugate}\u005cleft[a\u005cright]-I \u005ctext{Conjugate}\u005cleft[b\u005cright]
p6487
sg15
I3
sass(g1696
g6392
g6466
I3
tp6488
(dp6489
g6
VConjugate[{{1, 2 + I 4, a + I b}, {I}}]
p6490
sg8
(lp6491
(dp6492
g11
(lp6493
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2-4 I,\u005ctext{Conjugate}\u005cleft[a\u005cright]-I \u005ctext{Conjugate}\u005cleft[b\u005cright]\u005cright\u005c},\u005cleft\u005c{-I\u005cright\u005c}\u005cright\u005c}
p6494
sg15
I4
sass(g1696
g6392
g6466
I5
tp6495
(dp6496
g6
VConjugate[1.5 + 2.5 I]
p6497
sg8
(lp6498
(dp6499
g11
(lp6500
sg13
V1.5-2.5 I
p6501
sg15
I5
sass(g1696
g6392
VCubeRoot
p6502
I0
tp6503
(dp6504
g6
VCubeRoot[16]
p6505
sg8
(lp6506
(dp6507
g11
(lp6508
sg13
V2 2^{\u005cfrac{1}{3}}
p6509
sg15
I1
sass(g1696
g6392
VDirectedInfinity
p6510
I0
tp6511
(dp6512
g6
VDirectedInfinity[1]
p6513
sg8
(lp6514
(dp6515
g11
(lp6516
sg13
g165
sg15
I1
sass(g1696
g6392
g6510
I1
tp6517
(dp6518
g6
VDirectedInfinity[]
p6519
sg8
(lp6520
(dp6521
g11
(lp6522
sg13
V\u005ctext{ComplexInfinity}
p6523
sg15
I2
sass(g1696
g6392
g6510
I2
tp6524
(dp6525
g6
VDirectedInfinity[1 + I]
p6526
sg8
(lp6527
(dp6528
g11
(lp6529
sg13
V\u005cleft(\u005cfrac{1}{2}+\u005cfrac{I}{2}\u005cright) \u005csqrt{2} \u005cinfty 
p6530
sg15
I3
sass(g1696
g6392
g6510
I3
tp6531
(dp6532
g6
V1 / DirectedInfinity[1 + I]
p6533
sg8
(lp6534
(dp6535
g11
(lp6536
sg13
V0
p6537
sg15
I4
sass(g1696
g6392
g6510
I4
tp6538
(dp6539
g6
VDirectedInfinity[1] + DirectedInfinity[-1]
p6540
sg8
(lp6541
(dp6542
g11
(lp6543
(dp6544
g149
I01
sg150
VInfinity
p6545
sg152
Vindet
p6546
sg154
VInfinity::indet
p6547
sg156
VIndeterminate expression -Infinity + Infinity encountered.
p6548
sasg13
V\u005ctext{Indeterminate}
p6549
sg15
I5
sass(g1696
g6392
VDivide
p6550
I0
tp6551
(dp6552
g6
V30 / 5
p6553
sg8
(lp6554
(dp6555
g11
(lp6556
sg13
V6
p6557
sg15
I1
sass(g1696
g6392
g6550
I1
tp6558
(dp6559
g6
V1 / 8
p6560
sg8
(lp6561
(dp6562
g11
(lp6563
sg13
V\u005cfrac{1}{8}
p6564
sg15
I2
sass(g1696
g6392
g6550
I2
tp6565
(dp6566
g6
VPi / 4
p6567
sg8
(lp6568
(dp6569
g11
(lp6570
sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p6571
sg15
I3
sass(g1696
g6392
g6550
I3
tp6572
(dp6573
g6
VPi / 4.0
p6574
sg8
(lp6575
(dp6576
g11
(lp6577
sg13
V0.785398
p6578
sg15
I4
sass(g1696
g6392
g6550
I4
tp6579
(dp6580
g6
V1 / 8
p6581
sg8
(lp6582
(dp6583
g11
(lp6584
sg13
V\u005cfrac{1}{8}
p6585
sg15
I5
sass(g1696
g6392
g6550
I5
tp6586
(dp6587
g6
VN[%]
p6588
sg8
(lp6589
(dp6590
g11
(lp6591
sg13
V0.125
p6592
sg15
I6
sass(g1696
g6392
g6550
I6
tp6593
(dp6594
g6
Va / b / c
p6595
sg8
(lp6596
(dp6597
g11
(lp6598
sg13
V\u005cfrac{a}{b c}
p6599
sg15
I7
sass(g1696
g6392
g6550
I7
tp6600
(dp6601
g6
Va / (b / c)
p6602
sg8
(lp6603
(dp6604
g11
(lp6605
sg13
V\u005cfrac{a c}{b}
p6606
sg15
I8
sass(g1696
g6392
g6550
I8
tp6607
(dp6608
g6
Va / b / (c / (d / e))
p6609
sg8
(lp6610
(dp6611
g11
(lp6612
sg13
V\u005cfrac{a d}{b c e}
p6613
sg15
I9
sass(g1696
g6392
g6550
I9
tp6614
(dp6615
g6
Va / (b ^ 2 * c ^ 3 / e)
p6616
sg8
(lp6617
(dp6618
g11
(lp6619
sg13
V\u005cfrac{a e}{b^2 c^3}
p6620
sg15
I10
sass(g1696
g6392
VExactNumberQ
p6621
I0
tp6622
(dp6623
g6
VExactNumberQ[10]
p6624
sg8
(lp6625
(dp6626
g11
(lp6627
sg13
V\u005ctext{True}
p6628
sg15
I1
sass(g1696
g6392
g6621
I1
tp6629
(dp6630
g6
VExactNumberQ[4.0]
p6631
sg8
(lp6632
(dp6633
g11
(lp6634
sg13
V\u005ctext{False}
p6635
sg15
I2
sass(g1696
g6392
g6621
I2
tp6636
(dp6637
g6
VExactNumberQ[n]
p6638
sg8
(lp6639
(dp6640
g11
(lp6641
sg13
V\u005ctext{False}
p6642
sg15
I3
sass(g1696
g6392
g6621
I3
tp6643
(dp6644
g6
VExactNumberQ[1 + I]
p6645
sg8
(lp6646
(dp6647
g11
(lp6648
sg13
V\u005ctext{True}
p6649
sg15
I4
sass(g1696
g6392
g6621
I4
tp6650
(dp6651
g6
VExactNumberQ[1 + 1. I]
p6652
sg8
(lp6653
(dp6654
g11
(lp6655
sg13
V\u005ctext{False}
p6656
sg15
I5
sass(g1696
g6392
VFactorial
p6657
I0
tp6658
(dp6659
g6
V20!
p6660
sg8
(lp6661
(dp6662
g11
(lp6663
sg13
V2432902008176640000
p6664
sg15
I1
sass(g1696
g6392
g6657
I1
tp6665
(dp6666
g6
V10.5!
p6667
sg8
(lp6668
(dp6669
g11
(lp6670
sg13
V1.18994\u005ctimes 10^7
p6671
sg15
I2
sass(g1696
g6392
g6657
I2
tp6672
(dp6673
g6
V(-3.0+1.5*I)!
p6674
sg8
(lp6675
(dp6676
g11
(lp6677
sg13
V0.0427943-0.00461565 I
p6678
sg15
I3
sass(g1696
g6392
g6657
I3
tp6679
(dp6680
g6
V(-1.)!
p6681
sg8
(lp6682
(dp6683
g11
(lp6684
sg13
V\u005ctext{ComplexInfinity}
p6685
sg15
I4
sass(g1696
g6392
g6657
I4
tp6686
(dp6687
g6
V!a! //FullForm
p6688
sg8
(lp6689
(dp6690
g11
(lp6691
sg13
V\u005ctext{Not}\u005cleft[\u005ctext{Factorial}\u005cleft[a\u005cright]\u005cright]
p6692
sg15
I5
sass(g1696
g6392
VGamma
p6693
I0
tp6694
(dp6695
g6
VSimplify[Gamma[z] - (z - 1)!]
p6696
sg8
(lp6697
(dp6698
g11
(lp6699
sg13
V0
p6700
sg15
I1
sass(g1696
g6392
g6693
I1
tp6701
(dp6702
g6
VGamma[8]
p6703
sg8
(lp6704
(dp6705
g11
(lp6706
sg13
V5040
p6707
sg15
I2
sass(g1696
g6392
g6693
I2
tp6708
(dp6709
g6
VGamma[1/2]
p6710
sg8
(lp6711
(dp6712
g11
(lp6713
sg13
V\u005csqrt{\u005ctext{Pi}}
p6714
sg15
I3
sass(g1696
g6392
g6693
I3
tp6715
(dp6716
g6
VGamma[1, x]
p6717
sg8
(lp6718
(dp6719
g11
(lp6720
sg13
VE^{-x}
p6721
sg15
I4
sass(g1696
g6392
g6693
I4
tp6722
(dp6723
g6
VGamma[0, x]
p6724
sg8
(lp6725
(dp6726
g11
(lp6727
sg13
V\u005ctext{ExpIntegralE}\u005cleft[1,x\u005cright]
p6728
sg15
I5
sass(g1696
g6392
g6693
I5
tp6729
(dp6730
g6
VGamma[123.78]
p6731
sg8
(lp6732
(dp6733
g11
(lp6734
sg13
V4.21078\u005ctimes 10^{204}
p6735
sg15
I6
sass(g1696
g6392
g6693
I6
tp6736
(dp6737
g6
VGamma[1. + I]
p6738
sg8
(lp6739
(dp6740
g11
(lp6741
sg13
V0.498016-0.15495 I
p6742
sg15
I7
sass(g1696
g6392
g6693
I7
tp6743
(dp6744
g6
VPlot[{Gamma[x], x!}, {x, 0, 4}]
p6745
sg8
(lp6746
(dp6747
g11
(lp6748
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((0,13.6196)--(3.5714,13.214)--(7.1429,12.8565)--(10.714,12.5427)--(12.5,12.4012)--(14.286,12.2693)--(17.857,12.0332)--(21.429,11.8315)--(25,11.6621)--(28.571,11.5229)--(32.143,11.4122)--(35.714,11.3285)--(42.857,11.237)--(50,11.2401)--(57.143,11.332)--(64.286,11.5084)--(71.429,11.7671)--(78.571,12.1069)--(85.714,12.5279)--(92.857,13.0314)--(100,13.6196)--(107.14,14.2958)--(114.29,15.0642)--(117.86,15.4846)--(121.43,15.93)--(125,16.4013)--(128.57,16.8994)--(132.14,17.4252)--(135.71,17.9797)--(139.29,18.5639)--(142.86,19.1792)--(146.43,19.8266)--(150,20.5076)--(153.57,21.2235)--(155.36,21.595)--(157.14,21.9758)--(160.71,22.7662)--(162.5,23.1761)--(164.29,23.5963)--(167.86,24.4678)--(169.64,24.9197)--(171.43,25.3828)--(175,26.3431)--(176.79,26.841)--(178.57,27.3511)--(182.14,28.4088)--(183.93,28.9572)--(185.71,29.5188)--(189.29,30.6836)--(191.07,31.2873)--(192.86,31.9058)--(196.43,33.1883)--(198.21,33.8531)--(200,34.5341)--(203.57,35.9465)--(205.36,36.6786)--(207.14,37.4287)--(210.71,38.9844)--(212.5,39.791)--(214.29,40.6174)--(217.86,42.3318)--(219.64,43.2207)--(221.43,44.1316)--(225,46.0215)--(226.79,47.0017)--(227.68,47.5009)--(228.57,48.0063)--(230.36,49.0358)--(232.14,50.0909)--(233.93,51.1723)--(234.82,51.7231)--(235.71,52.2808)--(237.5,53.4169)--(239.29,54.5815)--(241.07,55.7754)--(241.96,56.3835)--(242.86,56.9992)--(244.64,58.2539)--(246.43,59.5402)--(248.21,60.8591)--(249.11,61.5309)--(250,62.2113)--(251.79,63.5978)--(253.57,65.0196)--(255.36,66.4775)--(256.25,67.2204)--(257.14,67.9726)--(258.93,69.506)--(260.71,71.0786)--(262.5,72.6915)--(263.39,73.5134)--(264.29,74.3459)--(266.07,76.0429)--(267.86,77.7837)--(269.64,79.5695)--(270.54,80.4796)--(271.43,81.4015)--(273.21,83.2811)--(275,85.2096)--(276.79,87.1884)--(277.68,88.197)--(278.57,89.2188)--(280.36,91.3024)--(282.14,93.4406)--(283.93,95.6349)--(285.71,97.8871)--(289.29,102.571)--(291.07,105.007)--(292.86,107.507)--(296.43,112.709)--(298.21,115.414)--(300,118.192)--(303.57,123.973)--(305.36,126.981)--(307.14,130.07)--(310.71,136.501)--(312.5,139.849)--(314.29,143.287)--(317.86,150.447)--(319.64,154.175)--(321.43,158.004)--(325,165.983)--(326.79,170.139)--(328.57,174.409)--(332.14,183.308)--(333.93,187.944)--(335.71,192.709)--(339.29,202.643)--(341.07,207.82)--(342.86,213.142)--(346.43,224.241)--(348.21,230.027)--(350,235.977)--(353.57,248.388)--(357.14,261.518)--(360.71,275.409)--(364.29,290.111)--(367.86,305.673)--(371.43,322.149)--(378.57,358.078)--(385.71,398.407)--(392.86,443.712)--(400,494.652), rgb(0.6, 0.24, 0.44289)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,34.5341)--(416,34.5341), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (100.0,31.867437299113273), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (200.0,31.867437299113273), (0,-1), rgb(0, 0, 0));\u000alabel("$3$", (300.0,31.867437299113273), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,31.867437299113273), (0,-1), rgb(0, 0, 0));\u000adraw((100,34.5341)--(100,41.2008), rgb(0, 0, 0)+linewidth(0.66667));draw((200,34.5341)--(200,41.2008), rgb(0, 0, 0)+linewidth(0.66667));draw((300,34.5341)--(300,41.2008), rgb(0, 0, 0)+linewidth(0.66667));draw((400,34.5341)--(400,41.2008), rgb(0, 0, 0)+linewidth(0.66667));draw((20,34.5341)--(20,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((40,34.5341)--(40,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((60,34.5341)--(60,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((80,34.5341)--(80,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((120,34.5341)--(120,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((140,34.5341)--(140,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((160,34.5341)--(160,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((180,34.5341)--(180,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((220,34.5341)--(220,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((240,34.5341)--(240,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((260,34.5341)--(260,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((280,34.5341)--(280,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((320,34.5341)--(320,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((340,34.5341)--(340,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((360,34.5341)--(360,38.5341), rgb(0, 0, 0)+linewidth(0.66667));draw((380,34.5341)--(380,38.5341), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$4$", (-2.6666666666666665,76.36304714742812), (-1,0), rgb(0, 0, 0));\u000alabel("$6$", (-2.6666666666666665,118.19199032907628), (-1,0), rgb(0, 0, 0));\u000alabel("$8$", (-2.6666666666666665,160.02093351072446), (-1,0), rgb(0, 0, 0));\u000alabel("$10$", (-2.6666666666666665,201.84987669237262), (-1,0), rgb(0, 0, 0));\u000alabel("$12$", (-2.6666666666666665,243.67881987402077), (-1,0), rgb(0, 0, 0));\u000adraw((0,76.363)--(6.6667,76.363), rgb(0, 0, 0)+linewidth(0.66667));draw((0,118.192)--(6.6667,118.192), rgb(0, 0, 0)+linewidth(0.66667));draw((0,160.021)--(6.6667,160.021), rgb(0, 0, 0)+linewidth(0.66667));draw((0,201.85)--(6.6667,201.85), rgb(0, 0, 0)+linewidth(0.66667));draw((0,243.679)--(6.6667,243.679), rgb(0, 0, 0)+linewidth(0.66667));draw((0,3.1624)--(4,3.1624), rgb(0, 0, 0)+linewidth(0.66667));draw((0,13.6196)--(4,13.6196), rgb(0, 0, 0)+linewidth(0.66667));draw((0,24.0769)--(4,24.0769), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.9913)--(4,44.9913), rgb(0, 0, 0)+linewidth(0.66667));draw((0,55.4486)--(4,55.4486), rgb(0, 0, 0)+linewidth(0.66667));draw((0,65.9058)--(4,65.9058), rgb(0, 0, 0)+linewidth(0.66667));draw((0,86.8203)--(4,86.8203), rgb(0, 0, 0)+linewidth(0.66667));draw((0,97.2775)--(4,97.2775), rgb(0, 0, 0)+linewidth(0.66667));draw((0,107.735)--(4,107.735), rgb(0, 0, 0)+linewidth(0.66667));draw((0,128.649)--(4,128.649), rgb(0, 0, 0)+linewidth(0.66667));draw((0,139.106)--(4,139.106), rgb(0, 0, 0)+linewidth(0.66667));draw((0,149.564)--(4,149.564), rgb(0, 0, 0)+linewidth(0.66667));draw((0,170.478)--(4,170.478), rgb(0, 0, 0)+linewidth(0.66667));draw((0,180.935)--(4,180.935), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.393)--(4,191.393), rgb(0, 0, 0)+linewidth(0.66667));draw((0,212.307)--(4,212.307), rgb(0, 0, 0)+linewidth(0.66667));draw((0,222.764)--(4,222.764), rgb(0, 0, 0)+linewidth(0.66667));draw((0,233.222)--(4,233.222), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p6749
sg15
I8
sass(g1696
g6392
VHarmonicNumber
p6750
I0
tp6751
(dp6752
g6
VTable[HarmonicNumber[n], {n, 8}]
p6753
sg8
(lp6754
(dp6755
g11
(lp6756
sg13
V\u005cleft\u005c{1,\u005cfrac{3}{2},\u005cfrac{11}{6},\u005cfrac{25}{12},\u005cfrac{137}{60},\u005cfrac{49}{20},\u005cfrac{363}{140},\u005cfrac{761}{280}\u005cright\u005c}
p6757
sg15
I1
sass(g1696
g6392
g6750
I1
tp6758
(dp6759
g6
VHarmonicNumber[3.8]
p6760
sg8
(lp6761
(dp6762
g11
(lp6763
sg13
V2.03806
p6764
sg15
I2
sass(g1696
g6392
VI
p6765
I0
tp6766
(dp6767
g6
VI^2
p6768
sg8
(lp6769
(dp6770
g11
(lp6771
sg13
V-1
p6772
sg15
I1
sass(g1696
g6392
g6765
I1
tp6773
(dp6774
g6
V(3+I)*(3-I)
p6775
sg8
(lp6776
(dp6777
g11
(lp6778
sg13
V10
p6779
sg15
I2
sass(g1696
g6392
VIm
p6780
I0
tp6781
(dp6782
g6
VIm[3+4I]
p6783
sg8
(lp6784
(dp6785
g11
(lp6786
sg13
V4
p6787
sg15
I1
sass(g1696
g6392
g6780
I1
tp6788
(dp6789
g6
VPlot[{Sin[a], Im[E^(I a)]}, {a, 0, 2 Pi}]
p6790
sg8
(lp6791
(dp6792
g11
(lp6793
sg13
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0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p6794
sg15
I2
sass(g1696
g6392
VInexactNumberQ
p6795
I0
tp6796
(dp6797
g6
VInexactNumberQ[a]
p6798
sg8
(lp6799
(dp6800
g11
(lp6801
sg13
V\u005ctext{False}
p6802
sg15
I1
sass(g1696
g6392
g6795
I1
tp6803
(dp6804
g6
VInexactNumberQ[3.0]
p6805
sg8
(lp6806
(dp6807
g11
(lp6808
sg13
V\u005ctext{True}
p6809
sg15
I2
sass(g1696
g6392
g6795
I2
tp6810
(dp6811
g6
VInexactNumberQ[2/3]
p6812
sg8
(lp6813
(dp6814
g11
(lp6815
sg13
V\u005ctext{False}
p6816
sg15
I3
sass(g1696
g6392
g6795
I3
tp6817
(dp6818
g6
VInexactNumberQ[4.0+I]
p6819
sg8
(lp6820
(dp6821
g11
(lp6822
sg13
V\u005ctext{True}
p6823
sg15
I4
sass(g1696
g6392
VIntegerQ
p6824
I0
tp6825
(dp6826
g6
VIntegerQ[3]
p6827
sg8
(lp6828
(dp6829
g11
(lp6830
sg13
V\u005ctext{True}
p6831
sg15
I1
sass(g1696
g6392
g6824
I1
tp6832
(dp6833
g6
VIntegerQ[Pi]
p6834
sg8
(lp6835
(dp6836
g11
(lp6837
sg13
V\u005ctext{False}
p6838
sg15
I2
sass(g1696
g6392
VInteger
p6839
I0
tp6840
(dp6841
g6
VHead[5]
p6842
sg8
(lp6843
(dp6844
g11
(lp6845
sg13
V\u005ctext{Integer}
p6846
sg15
I1
sass(g1696
g6392
VMachineNumberQ
p6847
I0
tp6848
(dp6849
g6
VMachineNumberQ[3.14159265358979324]
p6850
sg8
(lp6851
(dp6852
g11
(lp6853
sg13
V\u005ctext{False}
p6854
sg15
I1
sass(g1696
g6392
g6847
I1
tp6855
(dp6856
g6
VMachineNumberQ[1.5 + 2.3 I]
p6857
sg8
(lp6858
(dp6859
g11
(lp6860
sg13
V\u005ctext{True}
p6861
sg15
I2
sass(g1696
g6392
g6847
I2
tp6862
(dp6863
g6
VMachineNumberQ[2.71828182845904524 + 3.14159265358979324 I]
p6864
sg8
(lp6865
(dp6866
g11
(lp6867
sg13
V\u005ctext{False}
p6868
sg15
I3
sass(g1696
g6392
VMinus
p6869
I0
tp6870
(dp6871
g6
V-a //FullForm
p6872
sg8
(lp6873
(dp6874
g11
(lp6875
sg13
V\u005ctext{Times}\u005cleft[-1, a\u005cright]
p6876
sg15
I1
sass(g1696
g6392
g6869
I1
tp6877
(dp6878
g6
V-(x - 2/3)
p6879
sg8
(lp6880
(dp6881
g11
(lp6882
sg13
V\u005cfrac{2}{3}-x
p6883
sg15
I2
sass(g1696
g6392
g6869
I2
tp6884
(dp6885
g6
V-Range[10]
p6886
sg8
(lp6887
(dp6888
g11
(lp6889
sg13
V\u005cleft\u005c{-1,-2,-3,-4,-5,-6,-7,-8,-9,-10\u005cright\u005c}
p6890
sg15
I3
sass(g1696
g6392
VNumberQ
p6891
I0
tp6892
(dp6893
g6
VNumberQ[3+I]
p6894
sg8
(lp6895
(dp6896
g11
(lp6897
sg13
V\u005ctext{True}
p6898
sg15
I1
sass(g1696
g6392
g6891
I1
tp6899
(dp6900
g6
VNumberQ[5!]
p6901
sg8
(lp6902
(dp6903
g11
(lp6904
sg13
V\u005ctext{True}
p6905
sg15
I2
sass(g1696
g6392
g6891
I2
tp6906
(dp6907
g6
VNumberQ[Pi]
p6908
sg8
(lp6909
(dp6910
g11
(lp6911
sg13
V\u005ctext{False}
p6912
sg15
I3
sass(g1696
g6392
VPiecewise
p6913
I0
tp6914
(dp6915
g6
VPiecewise[{{0, x <= 0}}, 1]
p6916
sg8
(lp6917
(dp6918
g11
(lp6919
sg13
V\u005ctext{Piecewise}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{0,x\u005ctext{<=}0\u005cright\u005c}\u005cright\u005c},1\u005cright]
p6920
sg15
I1
sass(g1696
g6392
g6913
I1
tp6921
(dp6922
g6
VIntegrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], x]
p6923
sg8
(lp6924
(dp6925
g11
(lp6926
sg13
V\u005ctext{Piecewise}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{x,x\u005ctext{<=}0\u005cright\u005c},\u005cleft\u005c{-x,\u005ctext{True}\u005cright\u005c}\u005cright\u005c}\u005cright]
p6927
sg15
I2
sass(g1696
g6392
g6913
I2
tp6928
(dp6929
g6
VIntegrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], {x, -1, 2}]
p6930
sg8
(lp6931
(dp6932
g11
(lp6933
sg13
V-1
p6934
sg15
I3
sass(g1696
g6392
g6913
I3
tp6935
(dp6936
g6
VPiecewise[{{1, False}}]
p6937
sg8
(lp6938
(dp6939
g11
(lp6940
sg13
V0
p6941
sg15
I4
sass(g1696
g6392
g6913
I4
tp6942
(dp6943
g6
VPlot[Piecewise[{{Log[x], x > 0}, {x*-0.5, x < 0}}], {x, -1, 1}]
p6944
sg8
(lp6945
(dp6946
g11
(lp6947
sg13
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p6948
sg15
I5
sass(g1696
g6392
g6913
I5
tp6949
(dp6950
g6
VPiecewise[{{0 ^ 0, False}}, -1]
p6951
sg8
(lp6952
(dp6953
g11
(lp6954
sg13
V-1
p6955
sg15
I6
sass(g1696
g6392
VPlus
p6956
I0
tp6957
(dp6958
g6
V1 + 2
p6959
sg8
(lp6960
(dp6961
g11
(lp6962
sg13
V3
p6963
sg15
I1
sass(g1696
g6392
g6956
I1
tp6964
(dp6965
g6
Va + b + a
p6966
sg8
(lp6967
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g11
(lp6969
sg13
V2 a+b
p6970
sg15
I2
sass(g1696
g6392
g6956
I2
tp6971
(dp6972
g6
Va + a + 3 * a
p6973
sg8
(lp6974
(dp6975
g11
(lp6976
sg13
V5 a
p6977
sg15
I3
sass(g1696
g6392
g6956
I3
tp6978
(dp6979
g6
Va + b + 4.5 + a + b + a + 2 + 1.5 b
p6980
sg8
(lp6981
(dp6982
g11
(lp6983
sg13
V6.5+3 a+3.5 b
p6984
sg15
I4
sass(g1696
g6392
g6956
I4
tp6985
(dp6986
g6
VPlus @@ {2, 4, 6}
p6987
sg8
(lp6988
(dp6989
g11
(lp6990
sg13
V12
p6991
sg15
I5
sass(g1696
g6392
g6956
I5
tp6992
(dp6993
g6
VPlus @@ Range[1000]
p6994
sg8
(lp6995
(dp6996
g11
(lp6997
sg13
V500500
p6998
sg15
I6
sass(g1696
g6392
g6956
I6
tp6999
(dp7000
g6
VDefaultValues[Plus]
p7001
sg8
(lp7002
(dp7003
g11
(lp7004
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Plus}\u005cright]\u005cright]\u005ctext{:>}0\u005cright\u005c}
p7005
sg15
I7
sass(g1696
g6392
g6956
I7
tp7006
(dp7007
g6
Va /. n_. + x_ :> {n, x}
p7008
sg8
(lp7009
(dp7010
g11
(lp7011
sg13
V\u005cleft\u005c{0,a\u005cright\u005c}
p7012
sg15
I8
sass(g1696
g6392
g6956
I8
tp7013
(dp7014
g6
V2 Graphics[{Red,Disk[]}] + 3 Graphics[{Red,Disk[]}]
p7015
sg8
(lp7016
(dp7017
g11
(lp7018
sg13
V5 \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw(ellipse((175,175),175,175), rgb(1, 0, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p7019
sg15
I9
sass(g1696
g6392
VPochhammer
p7020
I0
tp7021
(dp7022
g6
VPochhammer[4, 8]
p7023
sg8
(lp7024
(dp7025
g11
(lp7026
sg13
V6652800
p7027
sg15
I1
sass(g1696
g6392
VPossibleZeroQ
p7028
I0
tp7029
(dp7030
g6
VPossibleZeroQ[E^(I Pi/4) - (-1)^(1/4)]
p7031
sg8
(lp7032
(dp7033
g11
(lp7034
sg13
V\u005ctext{True}
p7035
sg15
I1
sass(g1696
g6392
g7028
I1
tp7036
(dp7037
g6
VPossibleZeroQ[(x + 1) (x - 1) - x^2 + 1]
p7038
sg8
(lp7039
(dp7040
g11
(lp7041
sg13
V\u005ctext{True}
p7042
sg15
I2
sass(g1696
g6392
g7028
I2
tp7043
(dp7044
g6
VPossibleZeroQ[(E + Pi)^2 - E^2 - Pi^2 - 2 E Pi]
p7045
sg8
(lp7046
(dp7047
g11
(lp7048
sg13
V\u005ctext{True}
p7049
sg15
I3
sass(g1696
g6392
g7028
I3
tp7050
(dp7051
g6
VPossibleZeroQ[E^Pi - Pi^E]
p7052
sg8
(lp7053
(dp7054
g11
(lp7055
sg13
V\u005ctext{False}
p7056
sg15
I4
sass(g1696
g6392
g7028
I4
tp7057
(dp7058
g6
VPossibleZeroQ[1/x + 1/y - (x + y)/(x y)]
p7059
sg8
(lp7060
(dp7061
g11
(lp7062
sg13
V\u005ctext{True}
p7063
sg15
I5
sass(g1696
g6392
g7028
I5
tp7064
(dp7065
g6
VPossibleZeroQ[2^(2 I) - 2^(-2 I) - 2 I Sin[Log[4]]]
p7066
sg8
(lp7067
(dp7068
g11
(lp7069
sg13
V\u005ctext{True}
p7070
sg15
I6
sass(g1696
g6392
g7028
I6
tp7071
(dp7072
g6
VPossibleZeroQ[Sqrt[x^2] - x]
p7073
sg8
(lp7074
(dp7075
g11
(lp7076
sg13
V\u005ctext{False}
p7077
sg15
I7
sass(g1696
g6392
VPower
p7078
I0
tp7079
(dp7080
g6
V4 ^ (1/2)
p7081
sg8
(lp7082
(dp7083
g11
(lp7084
sg13
V2
p7085
sg15
I1
sass(g1696
g6392
g7078
I1
tp7086
(dp7087
g6
V4 ^ (1/3)
p7088
sg8
(lp7089
(dp7090
g11
(lp7091
sg13
V2^{\u005cfrac{2}{3}}
p7092
sg15
I2
sass(g1696
g6392
g7078
I2
tp7093
(dp7094
g6
V3^123
p7095
sg8
(lp7096
(dp7097
g11
(lp7098
sg13
V48519278097689642681155855396759336072749841943521979872827
p7099
sg15
I3
sass(g1696
g6392
g7078
I3
tp7100
(dp7101
g6
V(y ^ 2) ^ (1/2)
p7102
sg8
(lp7103
(dp7104
g11
(lp7105
sg13
V\u005csqrt{y^2}
p7106
sg15
I4
sass(g1696
g6392
g7078
I4
tp7107
(dp7108
g6
V(y ^ 2) ^ 3
p7109
sg8
(lp7110
(dp7111
g11
(lp7112
sg13
Vy^6
p7113
sg15
I5
sass(g1696
g6392
g7078
I5
tp7114
(dp7115
g6
VPlot[Evaluate[Table[x^y, {y, 1, 5}]], {x, -1.5, 1.5}, AspectRatio -> 1]
p7116
sg8
(lp7117
(dp7118
g11
(lp7119
sg13
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0)+linewidth(0.66667));draw((175,225.906)--(179,225.906), rgb(0, 0, 0)+linewidth(0.66667));draw((175,236.144)--(179,236.144), rgb(0, 0, 0)+linewidth(0.66667));draw((175,246.382)--(179,246.382), rgb(0, 0, 0)+linewidth(0.66667));draw((175,266.859)--(179,266.859), rgb(0, 0, 0)+linewidth(0.66667));draw((175,277.097)--(179,277.097), rgb(0, 0, 0)+linewidth(0.66667));draw((175,287.335)--(179,287.335), rgb(0, 0, 0)+linewidth(0.66667));draw((175,297.573)--(179,297.573), rgb(0, 0, 0)+linewidth(0.66667));draw((175,318.05)--(179,318.05), rgb(0, 0, 0)+linewidth(0.66667));draw((175,328.288)--(179,328.288), rgb(0, 0, 0)+linewidth(0.66667));draw((175,338.526)--(179,338.526), rgb(0, 0, 0)+linewidth(0.66667));draw((175,348.764)--(179,348.764), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p7120
sg15
I6
sass(g1696
g6392
g7078
I6
tp7121
(dp7122
g6
V4.0 ^ (1/3)
p7123
sg8
(lp7124
(dp7125
g11
(lp7126
sg13
V1.5874
p7127
sg15
I7
sass(g1696
g6392
g7078
I7
tp7128
(dp7129
g6
VDefaultValues[Power]
p7130
sg8
(lp7131
(dp7132
g11
(lp7133
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Power},2\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p7134
sg15
I8
sass(g1696
g6392
g7078
I8
tp7135
(dp7136
g6
Va /. x_ ^ n_. :> {x, n}
p7137
sg8
(lp7138
(dp7139
g11
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rgb(0, 0, 0)+linewidth(0.66667));draw((381.97,123.607)--(381.97,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((12.732,123.607)--(12.732,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((25.465,123.607)--(25.465,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((38.197,123.607)--(38.197,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((50.93,123.607)--(50.93,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((76.394,123.607)--(76.394,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((89.127,123.607)--(89.127,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((101.86,123.607)--(101.86,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((114.59,123.607)--(114.59,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((140.06,123.607)--(140.06,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((152.79,123.607)--(152.79,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((165.52,123.607)--(165.52,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((178.25,123.607)--(178.25,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((203.72,123.607)--(203.72,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((216.45,123.607)--(216.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((229.18,123.607)--(229.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((241.92,123.607)--(241.92,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((267.38,123.607)--(267.38,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((280.11,123.607)--(280.11,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((292.85,123.607)--(292.85,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((305.58,123.607)--(305.58,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((331.04,123.607)--(331.04,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((343.77,123.607)--(343.77,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((356.51,123.607)--(356.51,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((369.24,123.607)--(369.24,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((394.7,123.607)--(394.7,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((407.44,123.607)--(407.44,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,11.23698161363446), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.42188968180672), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.7917058181512), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((0,11.237)--(6.6667,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.4219)--(6.6667,67.4219), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.792)--(6.6667,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((0,235.977)--(6.6667,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((0,    0)--(4,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.474)--(4,22.474), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.7109)--(4,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.9479)--(4,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.1849)--(4,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.6589)--(4,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8959)--(4,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.133)--(4,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.37)--(4,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.844)--(4,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.081)--(4,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.318)--(4,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.555)--(4,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.029)--(4,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.266)--(4,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.503)--(4,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.74)--(4,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.214)--(4,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p7247
sg15
I2
sass(g1696
g6392
VRealNumberQ
p7248
I0
tp7249
(dp7250
g6
VRealNumberQ[10]
p7251
sg8
(lp7252
(dp7253
g11
(lp7254
sg13
V\u005ctext{True}
p7255
sg15
I1
sass(g1696
g6392
g7248
I1
tp7256
(dp7257
g6
VRealNumberQ[4.0]
p7258
sg8
(lp7259
(dp7260
g11
(lp7261
sg13
V\u005ctext{True}
p7262
sg15
I2
sass(g1696
g6392
g7248
I2
tp7263
(dp7264
g6
VRealNumberQ[1+I]
p7265
sg8
(lp7266
(dp7267
g11
(lp7268
sg13
V\u005ctext{False}
p7269
sg15
I3
sass(g1696
g6392
g7248
I3
tp7270
(dp7271
g6
VRealNumberQ[0 * I]
p7272
sg8
(lp7273
(dp7274
g11
(lp7275
sg13
V\u005ctext{True}
p7276
sg15
I4
sass(g1696
g6392
g7248
I4
tp7277
(dp7278
g6
VRealNumberQ[0.0 * I]
p7279
sg8
(lp7280
(dp7281
g11
(lp7282
sg13
V\u005ctext{True}
p7283
sg15
I5
sass(g1696
g6392
VReal
p7284
I0
tp7285
(dp7286
g6
Vx = 3. ^ -20;
p7287
sg8
(lp7288
(dp7289
g11
(lp7290
sg13
Nsg15
I1
sass(g1696
g6392
g7284
I1
tp7291
(dp7292
g6
VInputForm[x]
p7293
sg8
(lp7294
(dp7295
g11
(lp7296
sg13
V2.8679719907924413\u005ctext{*${}^{\u005cwedge}$}-10
p7297
sg15
I2
sass(g1696
g6392
g7284
I2
tp7298
(dp7299
g6
VHead[x]
p7300
sg8
(lp7301
(dp7302
g11
(lp7303
sg13
V\u005ctext{Real}
p7304
sg15
I3
sass(g1696
g6392
VSign
p7305
I0
tp7306
(dp7307
g6
VSign[19]
p7308
sg8
(lp7309
(dp7310
g11
(lp7311
sg13
V1
p7312
sg15
I1
sass(g1696
g6392
g7305
I1
tp7313
(dp7314
g6
VSign[-6]
p7315
sg8
(lp7316
(dp7317
g11
(lp7318
sg13
V-1
p7319
sg15
I2
sass(g1696
g6392
g7305
I2
tp7320
(dp7321
g6
VSign[0]
p7322
sg8
(lp7323
(dp7324
g11
(lp7325
sg13
V0
p7326
sg15
I3
sass(g1696
g6392
g7305
I3
tp7327
(dp7328
g6
VSign[{-5, -10, 15, 20, 0}]
p7329
sg8
(lp7330
(dp7331
g11
(lp7332
sg13
V\u005cleft\u005c{-1,-1,1,1,0\u005cright\u005c}
p7333
sg15
I4
sass(g1696
g6392
g7305
I5
tp7334
(dp7335
g6
VSign[3 - 4*I]
p7336
sg8
(lp7337
(dp7338
g11
(lp7339
sg13
V\u005cfrac{3}{5}-\u005cfrac{4 I}{5}
p7340
sg15
I5
sass(g1696
g6392
VSqrt
p7341
I0
tp7342
(dp7343
g6
VSqrt[4]
p7344
sg8
(lp7345
(dp7346
g11
(lp7347
sg13
V2
p7348
sg15
I1
sass(g1696
g6392
g7341
I1
tp7349
(dp7350
g6
VSqrt[5]
p7351
sg8
(lp7352
(dp7353
g11
(lp7354
sg13
V\u005csqrt{5}
p7355
sg15
I2
sass(g1696
g6392
g7341
I2
tp7356
(dp7357
g6
VSqrt[5] // N
p7358
sg8
(lp7359
(dp7360
g11
(lp7361
sg13
V2.23607
p7362
sg15
I3
sass(g1696
g6392
g7341
I3
tp7363
(dp7364
g6
VSqrt[a]^2
p7365
sg8
(lp7366
(dp7367
g11
(lp7368
sg13
g542
sg15
I4
sass(g1696
g6392
g7341
I4
tp7369
(dp7370
g6
VSqrt[-4]
p7371
sg8
(lp7372
(dp7373
g11
(lp7374
sg13
V2 I
p7375
sg15
I5
sass(g1696
g6392
g7341
I5
tp7376
(dp7377
g6
VI == Sqrt[-1]
p7378
sg8
(lp7379
(dp7380
g11
(lp7381
sg13
V\u005ctext{True}
p7382
sg15
I6
sass(g1696
g6392
g7341
I6
tp7383
(dp7384
g6
VPlot[Sqrt[a^2], {a, -2, 2}]
p7385
sg8
(lp7386
(dp7387
g11
(lp7388
sg13
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p7389
sg15
I7
sass(g1696
g6392
VSubtract
p7390
I0
tp7391
(dp7392
g6
V5 - 3
p7393
sg8
(lp7394
(dp7395
g11
(lp7396
sg13
V2
p7397
sg15
I1
sass(g1696
g6392
g7390
I1
tp7398
(dp7399
g6
Va - b // FullForm
p7400
sg8
(lp7401
(dp7402
g11
(lp7403
sg13
V\u005ctext{Plus}\u005cleft[a, \u005ctext{Times}\u005cleft[-1, b\u005cright]\u005cright]
p7404
sg15
I2
sass(g1696
g6392
g7390
I2
tp7405
(dp7406
g6
Va - b - c
p7407
sg8
(lp7408
(dp7409
g11
(lp7410
sg13
Va-b-c
p7411
sg15
I3
sass(g1696
g6392
g7390
I3
tp7412
(dp7413
g6
Va - (b - c)
p7414
sg8
(lp7415
(dp7416
g11
(lp7417
sg13
Va-b+c
p7418
sg15
I4
sass(g1696
g6392
VSum
p7419
I0
tp7420
(dp7421
g6
VSum[k, {k, 1, 10}]
p7422
sg8
(lp7423
(dp7424
g11
(lp7425
sg13
V55
p7426
sg15
I1
sass(g1696
g6392
g7419
I1
tp7427
(dp7428
g6
VSum[i * j, {i, 1, 10}, {j, 1, 10}]
p7429
sg8
(lp7430
(dp7431
g11
(lp7432
sg13
V3025
p7433
sg15
I2
sass(g1696
g6392
g7419
I2
tp7434
(dp7435
g6
VSum[k, {k, 1, n}]
p7436
sg8
(lp7437
(dp7438
g11
(lp7439
sg13
V\u005cfrac{n \u005cleft(1+n\u005cright)}{2}
p7440
sg15
I3
sass(g1696
g6392
g7419
I3
tp7441
(dp7442
g6
VSum[k, {k, n, 2 n}]
p7443
sg8
(lp7444
(dp7445
g11
(lp7446
sg13
V\u005cfrac{3 n \u005cleft(1+n\u005cright)}{2}
p7447
sg15
I4
sass(g1696
g6392
g7419
I4
tp7448
(dp7449
g6
VSum[k, {k, I, I + 1}]
p7450
sg8
(lp7451
(dp7452
g11
(lp7453
sg13
V1+2 I
p7454
sg15
I5
sass(g1696
g6392
g7419
I5
tp7455
(dp7456
g6
VSum[1 / k ^ 2, {k, 1, n}]
p7457
sg8
(lp7458
(dp7459
g11
(lp7460
sg13
V\u005ctext{HarmonicNumber}\u005cleft[n,2\u005cright]
p7461
sg15
I6
sass(g1696
g6392
g7419
I6
tp7462
(dp7463
g6
VSum[f[i], {i, 1, 7}]
p7464
sg8
(lp7465
(dp7466
g11
(lp7467
sg13
Vf\u005cleft[1\u005cright]+f\u005cleft[2\u005cright]+f\u005cleft[3\u005cright]+f\u005cleft[4\u005cright]+f\u005cleft[5\u005cright]+f\u005cleft[6\u005cright]+f\u005cleft[7\u005cright]
p7468
sg15
I7
sass(g1696
g6392
g7419
I7
tp7469
(dp7470
g6
VSum[x ^ 2, {x, 1, y}] - y * (y + 1) * (2 * y + 1) / 6
p7471
sg8
(lp7472
(dp7473
g11
(lp7474
sg13
V0
p7475
sg15
I8
sass(g1696
g6392
g7419
I8
tp7476
(dp7477
g6
VSum[1 / 2 ^ i, {i, 1, Infinity}]
p7478
sg8
(lp7479
(dp7480
g11
(lp7481
sg13
V1
p7482
sg15
I9
sass(g1696
g6392
g7419
I9
tp7483
(dp7484
g6
VSum[1 / k ^ 2, {k, 1, Infinity}]
p7485
sg8
(lp7486
(dp7487
g11
(lp7488
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p7489
sg15
I10
sass(g1696
g6392
VTimes
p7490
I0
tp7491
(dp7492
g6
V10 * 2
p7493
sg8
(lp7494
(dp7495
g11
(lp7496
sg13
V20
p7497
sg15
I1
sass(g1696
g6392
g7490
I1
tp7498
(dp7499
g6
V10 2
p7500
sg8
(lp7501
(dp7502
g11
(lp7503
sg13
V20
p7504
sg15
I2
sass(g1696
g6392
g7490
I2
tp7505
(dp7506
g6
Va * a
p7507
sg8
(lp7508
(dp7509
g11
(lp7510
sg13
Va^2
p7511
sg15
I3
sass(g1696
g6392
g7490
I3
tp7512
(dp7513
g6
Vx ^ 10 * x ^ -2
p7514
sg8
(lp7515
(dp7516
g11
(lp7517
sg13
Vx^8
p7518
sg15
I4
sass(g1696
g6392
g7490
I4
tp7519
(dp7520
g6
V{1, 2, 3} * 4
p7521
sg8
(lp7522
(dp7523
g11
(lp7524
sg13
V\u005cleft\u005c{4,8,12\u005cright\u005c}
p7525
sg15
I5
sass(g1696
g6392
g7490
I5
tp7526
(dp7527
g6
VTimes @@ {1, 2, 3, 4}
p7528
sg8
(lp7529
(dp7530
g11
(lp7531
sg13
V24
p7532
sg15
I6
sass(g1696
g6392
g7490
I6
tp7533
(dp7534
g6
VIntegerLength[Times@@Range[5000]]
p7535
sg8
(lp7536
(dp7537
g11
(lp7538
sg13
V16326
p7539
sg15
I7
sass(g1696
g6392
g7490
I7
tp7540
(dp7541
g6
VDefaultValues[Times]
p7542
sg8
(lp7543
(dp7544
g11
(lp7545
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Times}\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p7546
sg15
I8
sass(g1696
g6392
g7490
I8
tp7547
(dp7548
g6
Va /. n_. * x_ :> {n, x}
p7549
sg8
(lp7550
(dp7551
g11
(lp7552
sg13
V\u005cleft\u005c{1,a\u005cright\u005c}
p7553
sg15
I9
sass(g1696
VFunctional Programming
p7554
VComposition
p7555
I0
tp7556
(dp7557
g6
VComposition[f, g][x]
p7558
sg8
(lp7559
(dp7560
g11
(lp7561
sg13
Vf\u005cleft[g\u005cleft[x\u005cright]\u005cright]
p7562
sg15
I1
sass(g1696
g7554
g7555
I1
tp7563
(dp7564
g6
VComposition[f, g, h][x, y, z]
p7565
sg8
(lp7566
(dp7567
g11
(lp7568
sg13
Vf\u005cleft[g\u005cleft[h\u005cleft[x,y,z\u005cright]\u005cright]\u005cright]
p7569
sg15
I2
sass(g1696
g7554
g7555
I2
tp7570
(dp7571
g6
VComposition[]
p7572
sg8
(lp7573
(dp7574
g11
(lp7575
sg13
V\u005ctext{Identity}
p7576
sg15
I3
sass(g1696
g7554
g7555
I3
tp7577
(dp7578
g6
VComposition[][x]
p7579
sg8
(lp7580
(dp7581
g11
(lp7582
sg13
g195
sg15
I4
sass(g1696
g7554
g7555
I4
tp7583
(dp7584
g6
VAttributes[Composition]
p7585
sg8
(lp7586
(dp7587
g11
(lp7588
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{OneIdentity},\u005ctext{Protected}\u005cright\u005c}
p7589
sg15
I5
sass(g1696
g7554
g7555
I5
tp7590
(dp7591
g6
VComposition[f, Composition[g, h]]
p7592
sg8
(lp7593
(dp7594
g11
(lp7595
sg13
V\u005ctext{Composition}\u005cleft[f,g,h\u005cright]
p7596
sg15
I6
sass(g1696
g7554
VFunction
p7597
I0
tp7598
(dp7599
g6
Vf := # ^ 2 &
p7600
sg8
(lp7601
(dp7602
g11
(lp7603
sg13
Nsg15
I1
sass(g1696
g7554
g7597
I1
tp7604
(dp7605
g6
Vf[3]
p7606
sg8
(lp7607
(dp7608
g11
(lp7609
sg13
V9
p7610
sg15
I2
sass(g1696
g7554
g7597
I2
tp7611
(dp7612
g6
V#^3& /@ {1, 2, 3}
p7613
sg8
(lp7614
(dp7615
g11
(lp7616
sg13
V\u005cleft\u005c{1,8,27\u005cright\u005c}
p7617
sg15
I3
sass(g1696
g7554
g7597
I3
tp7618
(dp7619
g6
V#1+#2&[4, 5]
p7620
sg8
(lp7621
(dp7622
g11
(lp7623
sg13
V9
p7624
sg15
I4
sass(g1696
g7554
g7597
I4
tp7625
(dp7626
g6
VFunction[{x, y}, x * y][2, 3]
p7627
sg8
(lp7628
(dp7629
g11
(lp7630
sg13
V6
p7631
sg15
I5
sass(g1696
g7554
g7597
I5
tp7632
(dp7633
g6
VFunction[{x}, Function[{y}, f[x, y]]][y]
p7634
sg8
(lp7635
(dp7636
g11
(lp7637
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{\u005ctext{y\u005c$}\u005cright\u005c},f\u005cleft[y,\u005ctext{y\u005c$}\u005cright]\u005cright]
p7638
sg15
I6
sass(g1696
g7554
g7597
I6
tp7639
(dp7640
g6
VFunction[{y}, f[x, y]] /. x->y
p7641
sg8
(lp7642
(dp7643
g11
(lp7644
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{y\u005cright\u005c},f\u005cleft[y,y\u005cright]\u005cright]
p7645
sg15
I7
sass(g1696
g7554
g7597
I7
tp7646
(dp7647
g6
VFunction[y, Function[x, y^x]][x][y]
p7648
sg8
(lp7649
(dp7650
g11
(lp7651
sg13
Vx^y
p7652
sg15
I8
sass(g1696
g7554
g7597
I8
tp7653
(dp7654
g6
VFunction[x, Function[y, x^y]][x][y]
p7655
sg8
(lp7656
(dp7657
g11
(lp7658
sg13
Vx^y
p7659
sg15
I9
sass(g1696
g7554
g7597
I9
tp7660
(dp7661
g6
Vg[#] & [h[#]] & [5]
p7662
sg8
(lp7663
(dp7664
g11
(lp7665
sg13
Vg\u005cleft[h\u005cleft[5\u005cright]\u005cright]
p7666
sg15
I10
sass(g1696
g7554
VIdentity
p7667
I0
tp7668
(dp7669
g6
VIdentity[x]
p7670
sg8
(lp7671
(dp7672
g11
(lp7673
sg13
g195
sg15
I1
sass(g1696
g7554
g7667
I1
tp7674
(dp7675
g6
VIdentity[x, y]
p7676
sg8
(lp7677
(dp7678
g11
(lp7679
sg13
V\u005ctext{Identity}\u005cleft[x,y\u005cright]
p7680
sg15
I2
sass(g1696
g7554
VSlot
p7681
I0
tp7682
(dp7683
g6
V#
p7684
sg8
(lp7685
(dp7686
g11
(lp7687
sg13
V\u005ctext{\u005c#1}
p7688
sg15
I1
sass(g1696
g7554
g7681
I1
tp7689
(dp7690
g6
V{#1, #2, #3}&[1, 2, 3, 4, 5]
p7691
sg8
(lp7692
(dp7693
g11
(lp7694
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p7695
sg15
I2
sass(g1696
g7554
g7681
I2
tp7696
(dp7697
g6
VIf[#1<=1, 1, #1 #0[#1-1]]& [10]
p7698
sg8
(lp7699
(dp7700
g11
(lp7701
sg13
V3628800
p7702
sg15
I3
sass(g1696
g7554
VSlotSequence
p7703
I0
tp7704
(dp7705
g6
VPlus[##]& [1, 2, 3]
p7706
sg8
(lp7707
(dp7708
g11
(lp7709
sg13
V6
p7710
sg15
I1
sass(g1696
g7554
g7703
I1
tp7711
(dp7712
g6
VPlus[##2]& [1, 2, 3]
p7713
sg8
(lp7714
(dp7715
g11
(lp7716
sg13
V5
p7717
sg15
I2
sass(g1696
g7554
g7703
I2
tp7718
(dp7719
g6
VFullForm[##]
p7720
sg8
(lp7721
(dp7722
g11
(lp7723
sg13
V\u005ctext{SlotSequence}\u005cleft[1\u005cright]
p7724
sg15
I3
sass(g1696
VCompilation
p7725
VCompile
p7726
I0
tp7727
(dp7728
g6
Vcf = Compile[{x, y}, x + 2 y]
p7729
sg8
(lp7730
(dp7731
g11
(lp7732
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x,y\u005cright\u005c},x+2 y,-CompiledCode-\u005cright]
p7733
sg15
I1
sass(g1696
g7725
g7726
I1
tp7734
(dp7735
g6
Vcf[2.5, 4.3]
p7736
sg8
(lp7737
(dp7738
g11
(lp7739
sg13
V11.1
p7740
sg15
I2
sass(g1696
g7725
g7726
I2
tp7741
(dp7742
g6
Vcf = Compile[{{x, _Real}}, Sin[x]]
p7743
sg8
(lp7744
(dp7745
g11
(lp7746
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x\u005cright\u005c},\u005ctext{Sin}\u005cleft[x\u005cright],-CompiledCode-\u005cright]
p7747
sg15
I3
sass(g1696
g7725
g7726
I3
tp7748
(dp7749
g6
Vcf[1.4]
p7750
sg8
(lp7751
(dp7752
g11
(lp7753
sg13
V0.98545
p7754
sg15
I4
sass(g1696
g7725
g7726
I12
tp7755
(dp7756
g6
Vcf = Compile[{{x, _Real}, {y, _Integer}}, If[x == 0.0 && y <= 0, 0.0, Sin[x ^ y] + 1 / Min[x, 0.5]] + 0.5]
p7757
sg8
(lp7758
(dp7759
g11
(lp7760
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x,y\u005cright\u005c},0.5+\u005ctext{If}\u005cleft[x\u005ctext{==}0.\u005ctext{\u005c&\u005c&}y\u005ctext{<=}0,0.,\u005ctext{Sin}\u005cleft[x^y\u005cright]+\u005cfrac{1}{\u005ctext{Min}\u005cleft[x,0.5\u005cright]}\u005cright],-CompiledCode-\u005cright]
p7761
sg15
I5
sass(g1696
g7725
g7726
I13
tp7762
(dp7763
g6
Vcf[3.5, 2]
p7764
sg8
(lp7765
(dp7766
g11
(lp7767
sg13
V2.18888
p7768
sg15
I6
sass(g1696
g7725
g7726
I15
tp7769
(dp7770
g6
VCompile[{{a, _Integer}, {b, _Integer}}, While[b != 0, {a, b} = {b, Mod[a, b]}]; a]       (* GCD of a, b *)
p7771
sg8
(lp7772
(dp7773
g11
(lp7774
(dp7775
g149
I01
sg150
VCompile
p7776
sg152
Vcomperr
p7777
sg154
VCompile::comperr
p7778
sg156
VExpression While[b != 0, {a, b} = {b, Mod[a, b]}] ; a could not be compiled.
p7779
sasg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{\u005ctext{Global`a},\u005ctext{Global`b}\u005cright\u005c},\u005ctext{While}\u005cleft[b\u005ctext{!=}0,\u005cleft\u005c{a,b\u005cright\u005c}=\u005cleft\u005c{b,\u005ctext{Mod}\u005cleft[a,b\u005cright]\u005cright\u005c}\u005cright];a\u005cright]
p7780
sg15
I7
sass(g1696
g7725
VCompiledFunction
p7781
I0
tp7782
(dp7783
g6
Vsqr = Compile[{x}, x x]
p7784
sg8
(lp7785
(dp7786
g11
(lp7787
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x\u005cright\u005c},x^2,-CompiledCode-\u005cright]
p7788
sg15
I1
sass(g1696
g7725
g7781
I1
tp7789
(dp7790
g6
VHead[sqr]
p7791
sg8
(lp7792
(dp7793
g11
(lp7794
sg13
V\u005ctext{CompiledFunction}
p7795
sg15
I2
sass(g1696
g7725
g7781
I2
tp7796
(dp7797
g6
Vsqr[2]
p7798
sg8
(lp7799
(dp7800
g11
(lp7801
sg13
V4.
p7802
sg15
I3
sass(g1696
VOptions and Default Arguments
p7803
VDefault
p7804
I0
tp7805
(dp7806
g6
VDefault[f] = 1
p7807
sg8
(lp7808
(dp7809
g11
(lp7810
sg13
V1
p7811
sg15
I1
sass(g1696
g7803
g7804
I1
tp7812
(dp7813
g6
Vf[x_.] := x ^ 2
p7814
sg8
(lp7815
(dp7816
g11
(lp7817
sg13
Nsg15
I2
sass(g1696
g7803
g7804
I2
tp7818
(dp7819
g6
Vf[]
p7820
sg8
(lp7821
(dp7822
g11
(lp7823
sg13
V1
p7824
sg15
I3
sass(g1696
g7803
g7804
I3
tp7825
(dp7826
g6
VDefaultValues[f]
p7827
sg8
(lp7828
(dp7829
g11
(lp7830
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[f\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p7831
sg15
I4
sass(g1696
g7803
g7804
I4
tp7832
(dp7833
g6
VDefault[h, k_, n_] := {k, n}
p7834
sg8
(lp7835
(dp7836
g11
(lp7837
sg13
Nsg15
I5
sass(g1696
g7803
g7804
I5
tp7838
(dp7839
g6
Vh[] /. h[___, ___, x_., y_., ___] -> {x, y}
p7840
sg8
(lp7841
(dp7842
g11
(lp7843
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,5\u005cright\u005c},\u005cleft\u005c{4,5\u005cright\u005c}\u005cright\u005c}
p7844
sg15
I6
sass(g1696
g7803
VFilterRules
p7845
I0
tp7846
(dp7847
g6
VFilterRules[{x -> 100, y -> 1000}, x]
p7848
sg8
(lp7849
(dp7850
g11
(lp7851
sg13
V\u005cleft\u005c{x->100\u005cright\u005c}
p7852
sg15
I1
sass(g1696
g7803
g7845
I1
tp7853
(dp7854
g6
VFilterRules[{x -> 100, y -> 1000, z -> 10000}, {a, b, x, z}]
p7855
sg8
(lp7856
(dp7857
g11
(lp7858
sg13
V\u005cleft\u005c{x->100,z->10000\u005cright\u005c}
p7859
sg15
I2
sass(g1696
g7803
VNotOptionQ
p7860
I0
tp7861
(dp7862
g6
VNotOptionQ[x]
p7863
sg8
(lp7864
(dp7865
g11
(lp7866
sg13
V\u005ctext{True}
p7867
sg15
I1
sass(g1696
g7803
g7860
I1
tp7868
(dp7869
g6
VNotOptionQ[2]
p7870
sg8
(lp7871
(dp7872
g11
(lp7873
sg13
V\u005ctext{True}
p7874
sg15
I2
sass(g1696
g7803
g7860
I2
tp7875
(dp7876
g6
VNotOptionQ["abc"]
p7877
sg8
(lp7878
(dp7879
g11
(lp7880
sg13
V\u005ctext{True}
p7881
sg15
I3
sass(g1696
g7803
g7860
I3
tp7882
(dp7883
g6
VNotOptionQ[a -> True]
p7884
sg8
(lp7885
(dp7886
g11
(lp7887
sg13
V\u005ctext{False}
p7888
sg15
I4
sass(g1696
g7803
VOptionQ
p7889
I0
tp7890
(dp7891
g6
VOptionQ[a -> True]
p7892
sg8
(lp7893
(dp7894
g11
(lp7895
sg13
V\u005ctext{True}
p7896
sg15
I1
sass(g1696
g7803
g7889
I1
tp7897
(dp7898
g6
VOptionQ[a :> True]
p7899
sg8
(lp7900
(dp7901
g11
(lp7902
sg13
V\u005ctext{True}
p7903
sg15
I2
sass(g1696
g7803
g7889
I2
tp7904
(dp7905
g6
VOptionQ[{a -> True}]
p7906
sg8
(lp7907
(dp7908
g11
(lp7909
sg13
V\u005ctext{True}
p7910
sg15
I3
sass(g1696
g7803
g7889
I3
tp7911
(dp7912
g6
VOptionQ[{a :> True}]
p7913
sg8
(lp7914
(dp7915
g11
(lp7916
sg13
V\u005ctext{True}
p7917
sg15
I4
sass(g1696
g7803
g7889
I4
tp7918
(dp7919
g6
VOptionQ[{a -> True, {b->1, "c"->2}}]
p7920
sg8
(lp7921
(dp7922
g11
(lp7923
sg13
V\u005ctext{True}
p7924
sg15
I5
sass(g1696
g7803
g7889
I5
tp7925
(dp7926
g6
VOptionQ[{a -> True, {b->1, c}}]
p7927
sg8
(lp7928
(dp7929
g11
(lp7930
sg13
V\u005ctext{False}
p7931
sg15
I6
sass(g1696
g7803
g7889
I6
tp7932
(dp7933
g6
VOptionQ[{a -> True, F[b->1,c->2]}]
p7934
sg8
(lp7935
(dp7936
g11
(lp7937
sg13
V\u005ctext{False}
p7938
sg15
I7
sass(g1696
g7803
g7889
I7
tp7939
(dp7940
g6
VOptionQ[x]
p7941
sg8
(lp7942
(dp7943
g11
(lp7944
sg13
V\u005ctext{False}
p7945
sg15
I8
sass(g1696
g7803
VOptionValue
p7946
I0
tp7947
(dp7948
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[a]}
p7949
sg8
(lp7950
(dp7951
g11
(lp7952
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p7953
sg15
I1
sass(g1696
g7803
g7946
I1
tp7954
(dp7955
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[b]}
p7956
sg8
(lp7957
(dp7958
g11
(lp7959
(dp7960
g149
I01
sg150
VOptionValue
p7961
sg152
Voptnf
p7962
sg154
VOptionValue::optnf
p7963
sg156
VOption name b not found.
p7964
sasg13
V\u005cleft\u005c{b\u005cright\u005c}
p7965
sg15
I2
sass(g1696
g7803
g7946
I2
tp7966
(dp7967
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[a+b]}
p7968
sg8
(lp7969
(dp7970
g11
(lp7971
(dp7972
g149
I01
sg150
VOptionValue
p7973
sg152
Vsym
p7974
sg154
VOptionValue::sym
p7975
sg156
VArgument a + b at position 1 is expected to be a symbol.
p7976
sasg13
V\u005cleft\u005c{\u005ctext{OptionValue}\u005cleft[a+b\u005cright]\u005cright\u005c}
p7977
sg15
I3
sass(g1696
g7803
g7946
I3
tp7978
(dp7979
g6
Vf[a->5] /. f[OptionsPattern[{}]] -> {OptionValue[Symbol["a"]]}
p7980
sg8
(lp7981
(dp7982
g11
(lp7983
sg13
V\u005cleft\u005c{5\u005cright\u005c}
p7984
sg15
I4
sass(g1696
g7803
VOptions
p7985
I0
tp7986
(dp7987
g6
VOptions[f] = {n -> 2}
p7988
sg8
(lp7989
(dp7990
g11
(lp7991
sg13
V\u005cleft\u005c{n->2\u005cright\u005c}
p7992
sg15
I1
sass(g1696
g7803
g7985
I1
tp7993
(dp7994
g6
VOptions[f]
p7995
sg8
(lp7996
(dp7997
g11
(lp7998
sg13
V\u005cleft\u005c{n\u005ctext{:>}2\u005cright\u005c}
p7999
sg15
I2
sass(g1696
g7803
g7985
I2
tp8000
(dp8001
g6
Vf[x_, OptionsPattern[f]] := x ^ OptionValue[n]
p8002
sg8
(lp8003
(dp8004
g11
(lp8005
sg13
Nsg15
I3
sass(g1696
g7803
g7985
I3
tp8006
(dp8007
g6
Vf[x]
p8008
sg8
(lp8009
(dp8010
g11
(lp8011
sg13
Vx^2
p8012
sg15
I4
sass(g1696
g7803
g7985
I4
tp8013
(dp8014
g6
Vf[x, n -> 3]
p8015
sg8
(lp8016
(dp8017
g11
(lp8018
sg13
Vx^3
p8019
sg15
I5
sass(g1696
g7803
g7985
I8
tp8020
(dp8021
g6
Vf[a :> Print["value"]] /. f[OptionsPattern[{}]] :> (OptionValue[a]; Print["between"]; OptionValue[a]);
p8022
sg8
(lp8023
(dp8024
g11
(lp8025
(dp8026
g149
I00
sg156
Vvalue
p8027
sa(dp8028
g149
I00
sg156
Vbetween
p8029
sa(dp8030
g149
I00
sg156
Vvalue
p8031
sasg13
Nsg15
I6
sass(g1696
g7803
g7985
I9
tp8032
(dp8033
g6
Vf[a -> Print["value"]] /. f[OptionsPattern[{}]] :> (OptionValue[a]; Print["between"]; OptionValue[a]);
p8034
sg8
(lp8035
(dp8036
g11
(lp8037
(dp8038
g149
I00
sg156
Vvalue
p8039
sa(dp8040
g149
I00
sg156
Vbetween
p8041
sasg13
Nsg15
I7
sass(g1696
g7803
g7985
I10
tp8042
(dp8043
g6
VOptions[f] = {a}
p8044
sg8
(lp8045
(dp8046
g11
(lp8047
(dp8048
g149
I01
sg150
VOptions
p8049
sg152
Voptions
p8050
sg154
VOptions::options
p8051
sg156
V{a} is not a valid list of option rules.
p8052
sasg13
V\u005cleft\u005c{a\u005cright\u005c}
p8053
sg15
I8
sass(g1696
g7803
g7985
I11
tp8054
(dp8055
g6
VOptions[f] = a -> b
p8056
sg8
(lp8057
(dp8058
g11
(lp8059
sg13
Va->b
p8060
sg15
I9
sass(g1696
g7803
g7985
I12
tp8061
(dp8062
g6
VOptions[f]
p8063
sg8
(lp8064
(dp8065
g11
(lp8066
sg13
V\u005cleft\u005c{a\u005ctext{:>}b\u005cright\u005c}
p8067
sg15
I10
sass(g1696
g7803
g7985
I13
tp8068
(dp8069
g6
VOptions[a + b] = {a -> b}
p8070
sg8
(lp8071
(dp8072
g11
(lp8073
(dp8074
g149
I01
sg150
VOptions
p8075
sg152
g7974
sg154
VOptions::sym
p8076
sg156
VArgument a + b at position 1 is expected to be a symbol.
p8077
sasg13
V\u005cleft\u005c{a->b\u005cright\u005c}
p8078
sg15
I11
sass(g1696
VComparison
p8079
VBooleanQ
p8080
I0
tp8081
(dp8082
g6
VBooleanQ[True]
p8083
sg8
(lp8084
(dp8085
g11
(lp8086
sg13
V\u005ctext{True}
p8087
sg15
I1
sass(g1696
g8079
g8080
I1
tp8088
(dp8089
g6
VBooleanQ[False]
p8090
sg8
(lp8091
(dp8092
g11
(lp8093
sg13
V\u005ctext{True}
p8094
sg15
I2
sass(g1696
g8079
g8080
I2
tp8095
(dp8096
g6
VBooleanQ[a]
p8097
sg8
(lp8098
(dp8099
g11
(lp8100
sg13
V\u005ctext{False}
p8101
sg15
I3
sass(g1696
g8079
g8080
I3
tp8102
(dp8103
g6
VBooleanQ[1 < 2]
p8104
sg8
(lp8105
(dp8106
g11
(lp8107
sg13
V\u005ctext{True}
p8108
sg15
I4
sass(g1696
g8079
VEqual
p8109
I0
tp8110
(dp8111
g6
Va==a
p8112
sg8
(lp8113
(dp8114
g11
(lp8115
sg13
V\u005ctext{True}
p8116
sg15
I1
sass(g1696
g8079
g8109
I1
tp8117
(dp8118
g6
Va==b
p8119
sg8
(lp8120
(dp8121
g11
(lp8122
sg13
Va\u005ctext{==}b
p8123
sg15
I2
sass(g1696
g8079
g8109
I2
tp8124
(dp8125
g6
V1==1.
p8126
sg8
(lp8127
(dp8128
g11
(lp8129
sg13
V\u005ctext{True}
p8130
sg15
I3
sass(g1696
g8079
g8109
I3
tp8131
(dp8132
g6
V{{1}, {2}} == {{1}, {2}}
p8133
sg8
(lp8134
(dp8135
g11
(lp8136
sg13
V\u005ctext{True}
p8137
sg15
I4
sass(g1696
g8079
g8109
I4
tp8138
(dp8139
g6
V{1, 2} == {1, 2, 3}
p8140
sg8
(lp8141
(dp8142
g11
(lp8143
sg13
V\u005ctext{False}
p8144
sg15
I5
sass(g1696
g8079
g8109
I5
tp8145
(dp8146
g6
V0.739085133215160642 == 0.739085133215160641
p8147
sg8
(lp8148
(dp8149
g11
(lp8150
sg13
V\u005ctext{True}
p8151
sg15
I6
sass(g1696
g8079
g8109
I6
tp8152
(dp8153
g6
V0.73908513321516064200000000 == 0.73908513321516064100000000
p8154
sg8
(lp8155
(dp8156
g11
(lp8157
sg13
V\u005ctext{False}
p8158
sg15
I7
sass(g1696
g8079
g8109
I9
tp8159
(dp8160
g6
VN[E, 100] == N[E, 150]
p8161
sg8
(lp8162
(dp8163
g11
(lp8164
sg13
V\u005ctext{True}
p8165
sg15
I8
sass(g1696
g8079
g8109
I10
tp8166
(dp8167
g6
VE > 1
p8168
sg8
(lp8169
(dp8170
g11
(lp8171
sg13
V\u005ctext{True}
p8172
sg15
I9
sass(g1696
g8079
g8109
I11
tp8173
(dp8174
g6
VPi == 3.14
p8175
sg8
(lp8176
(dp8177
g11
(lp8178
sg13
V\u005ctext{False}
p8179
sg15
I10
sass(g1696
g8079
VGreater
p8180
I0
tp8181
(dp8182
g6
Va > b > c //FullForm
p8183
sg8
(lp8184
(dp8185
g11
(lp8186
sg13
V\u005ctext{Greater}\u005cleft[a, b, c\u005cright]
p8187
sg15
I1
sass(g1696
g8079
g8180
I1
tp8188
(dp8189
g6
VGreater[3, 2, 1]
p8190
sg8
(lp8191
(dp8192
g11
(lp8193
sg13
V\u005ctext{True}
p8194
sg15
I2
sass(g1696
g8079
VInequality
p8195
I0
tp8196
(dp8197
g6
Va < b <= c
p8198
sg8
(lp8199
(dp8200
g11
(lp8201
sg13
Va<b\u005ctext{\u005c&\u005c&}b\u005ctext{<=}c
p8202
sg15
I1
sass(g1696
g8079
g8195
I1
tp8203
(dp8204
g6
VInequality[a, Greater, b, LessEqual, c]
p8205
sg8
(lp8206
(dp8207
g11
(lp8208
sg13
Va>b\u005ctext{\u005c&\u005c&}b\u005ctext{<=}c
p8209
sg15
I2
sass(g1696
g8079
g8195
I2
tp8210
(dp8211
g6
V1 < 2 <= 3
p8212
sg8
(lp8213
(dp8214
g11
(lp8215
sg13
V\u005ctext{True}
p8216
sg15
I3
sass(g1696
g8079
g8195
I3
tp8217
(dp8218
g6
V1 < 2 > 0
p8219
sg8
(lp8220
(dp8221
g11
(lp8222
sg13
V\u005ctext{True}
p8223
sg15
I4
sass(g1696
g8079
g8195
I4
tp8224
(dp8225
g6
V1 < 2 < -1
p8226
sg8
(lp8227
(dp8228
g11
(lp8229
sg13
V\u005ctext{False}
p8230
sg15
I5
sass(g1696
g8079
VMax
p8231
I0
tp8232
(dp8233
g6
VMax[4, -8, 1]
p8234
sg8
(lp8235
(dp8236
g11
(lp8237
sg13
V4
p8238
sg15
I1
sass(g1696
g8079
g8231
I1
tp8239
(dp8240
g6
VMax[E - Pi, Pi, E + Pi, 2 E]
p8241
sg8
(lp8242
(dp8243
g11
(lp8244
sg13
VE+\u005ctext{Pi}
p8245
sg15
I2
sass(g1696
g8079
g8231
I2
tp8246
(dp8247
g6
VMax[{1,2},3,{-3,3.5,-Infinity},{{1/2}}]
p8248
sg8
(lp8249
(dp8250
g11
(lp8251
sg13
V3.5
p8252
sg15
I3
sass(g1696
g8079
g8231
I3
tp8253
(dp8254
g6
VMax[x, y]
p8255
sg8
(lp8256
(dp8257
g11
(lp8258
sg13
V\u005ctext{Max}\u005cleft[x,y\u005cright]
p8259
sg15
I4
sass(g1696
g8079
g8231
I4
tp8260
(dp8261
g6
VMax[5, x, -3, y, 40]
p8262
sg8
(lp8263
(dp8264
g11
(lp8265
sg13
V\u005ctext{Max}\u005cleft[40,x,y\u005cright]
p8266
sg15
I5
sass(g1696
g8079
g8231
I5
tp8267
(dp8268
g6
VMax[]
p8269
sg8
(lp8270
(dp8271
g11
(lp8272
sg13
V-\u005cinfty 
p8273
sg15
I6
sass(g1696
g8079
VMin
p8274
I0
tp8275
(dp8276
g6
VMin[4, -8, 1]
p8277
sg8
(lp8278
(dp8279
g11
(lp8280
sg13
V-8
p8281
sg15
I1
sass(g1696
g8079
g8274
I1
tp8282
(dp8283
g6
VMin[E - Pi, Pi, E + Pi, 2 E]
p8284
sg8
(lp8285
(dp8286
g11
(lp8287
sg13
VE-\u005ctext{Pi}
p8288
sg15
I2
sass(g1696
g8079
g8274
I2
tp8289
(dp8290
g6
VMin[{1,2},3,{-3,3.5,-Infinity},{{1/2}}]
p8291
sg8
(lp8292
(dp8293
g11
(lp8294
sg13
V-\u005cinfty 
p8295
sg15
I3
sass(g1696
g8079
g8274
I3
tp8296
(dp8297
g6
VMin[x, y]
p8298
sg8
(lp8299
(dp8300
g11
(lp8301
sg13
V\u005ctext{Min}\u005cleft[x,y\u005cright]
p8302
sg15
I4
sass(g1696
g8079
g8274
I4
tp8303
(dp8304
g6
VMin[5, x, -3, y, 40]
p8305
sg8
(lp8306
(dp8307
g11
(lp8308
sg13
V\u005ctext{Min}\u005cleft[-3,x,y\u005cright]
p8309
sg15
I5
sass(g1696
g8079
g8274
I5
tp8310
(dp8311
g6
VMin[]
p8312
sg8
(lp8313
(dp8314
g11
(lp8315
sg13
g165
sg15
I6
sass(g1696
g8079
VNegative
p8316
I0
tp8317
(dp8318
g6
VNegative[0]
p8319
sg8
(lp8320
(dp8321
g11
(lp8322
sg13
V\u005ctext{False}
p8323
sg15
I1
sass(g1696
g8079
g8316
I1
tp8324
(dp8325
g6
VNegative[-3]
p8326
sg8
(lp8327
(dp8328
g11
(lp8329
sg13
V\u005ctext{True}
p8330
sg15
I2
sass(g1696
g8079
g8316
I2
tp8331
(dp8332
g6
VNegative[10/7]
p8333
sg8
(lp8334
(dp8335
g11
(lp8336
sg13
V\u005ctext{False}
p8337
sg15
I3
sass(g1696
g8079
g8316
I3
tp8338
(dp8339
g6
VNegative[1+2I]
p8340
sg8
(lp8341
(dp8342
g11
(lp8343
sg13
V\u005ctext{False}
p8344
sg15
I4
sass(g1696
g8079
g8316
I4
tp8345
(dp8346
g6
VNegative[a + b]
p8347
sg8
(lp8348
(dp8349
g11
(lp8350
sg13
V\u005ctext{Negative}\u005cleft[a+b\u005cright]
p8351
sg15
I5
sass(g1696
g8079
VNonNegative
p8352
I0
tp8353
(dp8354
g6
V{Positive[0], NonNegative[0]}
p8355
sg8
(lp8356
(dp8357
g11
(lp8358
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p8359
sg15
I1
sass(g1696
g8079
VNonPositive
p8360
I0
tp8361
(dp8362
g6
V{Negative[0], NonPositive[0]}
p8363
sg8
(lp8364
(dp8365
g11
(lp8366
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p8367
sg15
I1
sass(g1696
g8079
VPositive
p8368
I0
tp8369
(dp8370
g6
VPositive[1]
p8371
sg8
(lp8372
(dp8373
g11
(lp8374
sg13
V\u005ctext{True}
p8375
sg15
I1
sass(g1696
g8079
g8368
I1
tp8376
(dp8377
g6
VPositive[0]
p8378
sg8
(lp8379
(dp8380
g11
(lp8381
sg13
V\u005ctext{False}
p8382
sg15
I2
sass(g1696
g8079
g8368
I2
tp8383
(dp8384
g6
VPositive[1 + 2 I]
p8385
sg8
(lp8386
(dp8387
g11
(lp8388
sg13
V\u005ctext{False}
p8389
sg15
I3
sass(g1696
g8079
VSameQ
p8390
I0
tp8391
(dp8392
g6
Va===a
p8393
sg8
(lp8394
(dp8395
g11
(lp8396
sg13
V\u005ctext{True}
p8397
sg15
I1
sass(g1696
g8079
g8390
I1
tp8398
(dp8399
g6
V{1==1., 1===1.}
p8400
sg8
(lp8401
(dp8402
g11
(lp8403
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False}\u005cright\u005c}
p8404
sg15
I2
sass(g1696
g8079
VTrueQ
p8405
I0
tp8406
(dp8407
g6
VTrueQ[True]
p8408
sg8
(lp8409
(dp8410
g11
(lp8411
sg13
V\u005ctext{True}
p8412
sg15
I1
sass(g1696
g8079
g8405
I1
tp8413
(dp8414
g6
VTrueQ[False]
p8415
sg8
(lp8416
(dp8417
g11
(lp8418
sg13
V\u005ctext{False}
p8419
sg15
I2
sass(g1696
g8079
g8405
I2
tp8420
(dp8421
g6
VTrueQ[a]
p8422
sg8
(lp8423
(dp8424
g11
(lp8425
sg13
V\u005ctext{False}
p8426
sg15
I3
sass(g1696
g8079
VUnequal
p8427
I0
tp8428
(dp8429
g6
V1 != 1.
p8430
sg8
(lp8431
(dp8432
g11
(lp8433
sg13
V\u005ctext{False}
p8434
sg15
I1
sass(g1696
g8079
g8427
I1
tp8435
(dp8436
g6
V{1} != {2}
p8437
sg8
(lp8438
(dp8439
g11
(lp8440
sg13
V\u005ctext{True}
p8441
sg15
I2
sass(g1696
g8079
g8427
I2
tp8442
(dp8443
g6
V{1, 2} != {1, 2}
p8444
sg8
(lp8445
(dp8446
g11
(lp8447
sg13
V\u005ctext{False}
p8448
sg15
I3
sass(g1696
g8079
g8427
I3
tp8449
(dp8450
g6
V{a} != {a}
p8451
sg8
(lp8452
(dp8453
g11
(lp8454
sg13
V\u005ctext{False}
p8455
sg15
I4
sass(g1696
g8079
g8427
I4
tp8456
(dp8457
g6
V"a" != "b"
p8458
sg8
(lp8459
(dp8460
g11
(lp8461
sg13
V\u005ctext{True}
p8462
sg15
I5
sass(g1696
g8079
g8427
I5
tp8463
(dp8464
g6
V"a" != "a"
p8465
sg8
(lp8466
(dp8467
g11
(lp8468
sg13
V\u005ctext{False}
p8469
sg15
I6
sass(g1696
g8079
VUnsameQ
p8470
I0
tp8471
(dp8472
g6
Va=!=a
p8473
sg8
(lp8474
(dp8475
g11
(lp8476
sg13
V\u005ctext{False}
p8477
sg15
I1
sass(g1696
g8079
g8470
I1
tp8478
(dp8479
g6
V1=!=1.
p8480
sg8
(lp8481
(dp8482
g11
(lp8483
sg13
V\u005ctext{True}
p8484
sg15
I2
sass(g1696
g8079
VValueQ
p8485
I0
tp8486
(dp8487
g6
VValueQ[x]
p8488
sg8
(lp8489
(dp8490
g11
(lp8491
sg13
V\u005ctext{False}
p8492
sg15
I1
sass(g1696
g8079
g8485
I1
tp8493
(dp8494
g6
Vx = 1;
p8495
sg8
(lp8496
(dp8497
g11
(lp8498
sg13
Nsg15
I2
sass(g1696
g8079
g8485
I2
tp8499
(dp8500
g6
VValueQ[x]
p8501
sg8
(lp8502
(dp8503
g11
(lp8504
sg13
V\u005ctext{True}
p8505
sg15
I3
sass(g1696
VLinear algebra
p8506
VBrayCurtisDistance
p8507
I0
tp8508
(dp8509
g6
VBrayCurtisDistance[-7, 5]
p8510
sg8
(lp8511
(dp8512
g11
(lp8513
sg13
V6
p8514
sg15
I1
sass(g1696
g8506
g8507
I1
tp8515
(dp8516
g6
VBrayCurtisDistance[{-1, -1}, {10, 10}]
p8517
sg8
(lp8518
(dp8519
g11
(lp8520
sg13
V\u005cfrac{11}{9}
p8521
sg15
I2
sass(g1696
g8506
VCanberraDistance
p8522
I0
tp8523
(dp8524
g6
VCanberraDistance[-7, 5]
p8525
sg8
(lp8526
(dp8527
g11
(lp8528
sg13
V1
p8529
sg15
I1
sass(g1696
g8506
g8522
I1
tp8530
(dp8531
g6
VCanberraDistance[{-1, -1}, {1, 1}]
p8532
sg8
(lp8533
(dp8534
g11
(lp8535
sg13
V2
p8536
sg15
I2
sass(g1696
g8506
VChessboardDistance
p8537
I0
tp8538
(dp8539
g6
VChessboardDistance[-7, 5]
p8540
sg8
(lp8541
(dp8542
g11
(lp8543
sg13
V12
p8544
sg15
I1
sass(g1696
g8506
g8537
I1
tp8545
(dp8546
g6
VChessboardDistance[{-1, -1}, {1, 1}]
p8547
sg8
(lp8548
(dp8549
g11
(lp8550
sg13
V2
p8551
sg15
I2
sass(g1696
g8506
VCosineDistance
p8552
I0
tp8553
(dp8554
g6
VN[CosineDistance[{7, 9}, {71, 89}]]
p8555
sg8
(lp8556
(dp8557
g11
(lp8558
sg13
V0.0000759646
p8559
sg15
I1
sass(g1696
g8506
g8552
I1
tp8560
(dp8561
g6
VCosineDistance[{a, b}, {c, d}]
p8562
sg8
(lp8563
(dp8564
g11
(lp8565
sg13
V1+\u005cfrac{-a c-b d}{\u005csqrt{\u005ctext{Abs}\u005cleft[a\u005cright]^2+\u005ctext{Abs}\u005cleft[b\u005cright]^2} \u005csqrt{\u005ctext{Abs}\u005cleft[c\u005cright]^2+\u005ctext{Abs}\u005cleft[d\u005cright]^2}}
p8566
sg15
I2
sass(g1696
g8506
VCross
p8567
I0
tp8568
(dp8569
g6
VCross[{x1, y1, z1}, {x2, y2, z2}]
p8570
sg8
(lp8571
(dp8572
g11
(lp8573
sg13
V\u005cleft\u005c{\u005ctext{y1} \u005ctext{z2}-\u005ctext{y2} \u005ctext{z1},-\u005ctext{x1} \u005ctext{z2}+\u005ctext{x2} \u005ctext{z1},\u005ctext{x1} \u005ctext{y2}-\u005ctext{x2} \u005ctext{y1}\u005cright\u005c}
p8574
sg15
I1
sass(g1696
g8506
g8567
I1
tp8575
(dp8576
g6
VCross[{x, y}]
p8577
sg8
(lp8578
(dp8579
g11
(lp8580
sg13
V\u005cleft\u005c{-y,x\u005cright\u005c}
p8581
sg15
I2
sass(g1696
g8506
g8567
I2
tp8582
(dp8583
g6
VCross[{1, 2}, {3, 4, 5}]
p8584
sg8
(lp8585
(dp8586
g11
(lp8587
(dp8588
g149
I01
sg150
VCross
p8589
sg152
Vnonn1
p8590
sg154
VCross::nonn1
p8591
sg156
VThe arguments are expected to be vectors of equal length, and the number of arguments is expected to be 1 less than their length.
p8592
sasg13
V\u005ctext{Cross}\u005cleft[\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{3,4,5\u005cright\u005c}\u005cright]
p8593
sg15
I3
sass(g1696
g8506
VDesignMatrix
p8594
I0
tp8595
(dp8596
g6
VDesignMatrix[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, x, x]
p8597
sg8
(lp8598
(dp8599
g11
(lp8600
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{1,3\u005cright\u005c},\u005cleft\u005c{1,5\u005cright\u005c},\u005cleft\u005c{1,7\u005cright\u005c}\u005cright\u005c}
p8601
sg15
I1
sass(g1696
g8506
g8594
I1
tp8602
(dp8603
g6
VDesignMatrix[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, f[x], x]
p8604
sg8
(lp8605
(dp8606
g11
(lp8607
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,f\u005cleft[2\u005cright]\u005cright\u005c},\u005cleft\u005c{1,f\u005cleft[3\u005cright]\u005cright\u005c},\u005cleft\u005c{1,f\u005cleft[5\u005cright]\u005cright\u005c},\u005cleft\u005c{1,f\u005cleft[7\u005cright]\u005cright\u005c}\u005cright\u005c}
p8608
sg15
I2
sass(g1696
g8506
VDet
p8609
I0
tp8610
(dp8611
g6
VDet[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8612
sg8
(lp8613
(dp8614
g11
(lp8615
sg13
V-2
p8616
sg15
I1
sass(g1696
g8506
g8609
I1
tp8617
(dp8618
g6
VDet[{{a, b, c}, {d, e, f}, {g, h, i}}]
p8619
sg8
(lp8620
(dp8621
g11
(lp8622
sg13
Va e i-a f h-b d i+b f g+c d h-c e g
p8623
sg15
I2
sass(g1696
g8506
VEigensystem
p8624
I0
tp8625
(dp8626
g6
VEigensystem[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8627
sg8
(lp8628
(dp8629
g11
(lp8630
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,-1,1\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{1,1,1\u005cright\u005c},\u005cleft\u005c{1,-2,1\u005cright\u005c},\u005cleft\u005c{-1,0,1\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p8631
sg15
I1
sass(g1696
g8506
VEigenvalues
p8632
I0
tp8633
(dp8634
g6
VEigenvalues[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8635
sg8
(lp8636
(dp8637
g11
(lp8638
sg13
V\u005cleft\u005c{2,-1,1\u005cright\u005c}
p8639
sg15
I1
sass(g1696
g8506
g8632
I1
tp8640
(dp8641
g6
VEigenvalues[{{Cos[theta],Sin[theta],0},{-Sin[theta],Cos[theta],0},{0,0,1}}] // Sort
p8642
sg8
(lp8643
(dp8644
g11
(lp8645
sg13
V\u005cleft\u005c{1,\u005ctext{Cos}\u005cleft[\u005ctext{theta}\u005cright]+\u005csqrt{\u005cleft(-1+\u005ctext{Cos}\u005cleft[\u005ctext{theta}\u005cright]\u005cright) \u005cleft(1+\u005ctext{Cos}\u005cleft[\u005ctext{theta}\u005cright]\u005cright)},\u005ctext{Cos}\u005cleft[\u005ctext{theta}\u005cright]-\u005csqrt{\u005cleft(-1+\u005ctext{Cos}\u005cleft[\u005ctext{theta}\u005cright]\u005cright) \u005cleft(1+\u005ctext{Cos}\u005cleft[\u005ctext{theta}\u005cright]\u005cright)}\u005cright\u005c}
p8646
sg15
I2
sass(g1696
g8506
g8632
I2
tp8647
(dp8648
g6
VEigenvalues[{{7, 1}, {-4, 3}}]
p8649
sg8
(lp8650
(dp8651
g11
(lp8652
sg13
V\u005cleft\u005c{5,5\u005cright\u005c}
p8653
sg15
I3
sass(g1696
g8506
g8632
I3
tp8654
(dp8655
g6
VEigenvalues[{{7, 1}, {-4, 3}}]
p8656
sg8
(lp8657
(dp8658
g11
(lp8659
sg13
V\u005cleft\u005c{5,5\u005cright\u005c}
p8660
sg15
I4
sass(g1696
g8506
VEigenvectors
p8661
I0
tp8662
(dp8663
g6
VEigenvectors[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8664
sg8
(lp8665
(dp8666
g11
(lp8667
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,1,1\u005cright\u005c},\u005cleft\u005c{1,-2,1\u005cright\u005c},\u005cleft\u005c{-1,0,1\u005cright\u005c}\u005cright\u005c}
p8668
sg15
I1
sass(g1696
g8506
g8661
I1
tp8669
(dp8670
g6
VEigenvectors[{{1, 0, 0}, {0, 1, 0}, {0, 0, 0}}]
p8671
sg8
(lp8672
(dp8673
g11
(lp8674
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,1,0\u005cright\u005c},\u005cleft\u005c{1,0,0\u005cright\u005c},\u005cleft\u005c{0,0,1\u005cright\u005c}\u005cright\u005c}
p8675
sg15
I2
sass(g1696
g8506
g8661
I2
tp8676
(dp8677
g6
VEigenvectors[{{2, 0, 0}, {0, -1, 0}, {0, 0, 0}}]
p8678
sg8
(lp8679
(dp8680
g11
(lp8681
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,0,0\u005cright\u005c},\u005cleft\u005c{0,1,0\u005cright\u005c},\u005cleft\u005c{0,0,1\u005cright\u005c}\u005cright\u005c}
p8682
sg15
I3
sass(g1696
g8506
g8661
I3
tp8683
(dp8684
g6
VEigenvectors[{{0.1, 0.2}, {0.8, 0.5}}]
p8685
sg8
(lp8686
(dp8687
g11
(lp8688
sg13
V\u005cleft\u005c{\u005cleft\u005c{-0.355518,-1.15048\u005cright\u005c},\u005cleft\u005c{-0.62896,0.777438\u005cright\u005c}\u005cright\u005c}
p8689
sg15
I4
sass(g1696
g8506
VEuclideanDistance
p8690
I0
tp8691
(dp8692
g6
VEuclideanDistance[-7, 5]
p8693
sg8
(lp8694
(dp8695
g11
(lp8696
sg13
V12
p8697
sg15
I1
sass(g1696
g8506
g8690
I1
tp8698
(dp8699
g6
VEuclideanDistance[{-1, -1}, {1, 1}]
p8700
sg8
(lp8701
(dp8702
g11
(lp8703
sg13
V2 \u005csqrt{2}
p8704
sg15
I2
sass(g1696
g8506
g8690
I2
tp8705
(dp8706
g6
VEuclideanDistance[{a, b}, {c, d}]
p8707
sg8
(lp8708
(dp8709
g11
(lp8710
sg13
V\u005csqrt{\u005ctext{Abs}\u005cleft[a-c\u005cright]^2+\u005ctext{Abs}\u005cleft[b-d\u005cright]^2}
p8711
sg15
I3
sass(g1696
g8506
VInverse
p8712
I0
tp8713
(dp8714
g6
VInverse[{{1, 2, 0}, {2, 3, 0}, {3, 4, 1}}]
p8715
sg8
(lp8716
(dp8717
g11
(lp8718
sg13
V\u005cleft\u005c{\u005cleft\u005c{-3,2,0\u005cright\u005c},\u005cleft\u005c{2,-1,0\u005cright\u005c},\u005cleft\u005c{1,-2,1\u005cright\u005c}\u005cright\u005c}
p8719
sg15
I1
sass(g1696
g8506
g8712
I1
tp8720
(dp8721
g6
VInverse[{{1, 0}, {0, 0}}]
p8722
sg8
(lp8723
(dp8724
g11
(lp8725
(dp8726
g149
I01
sg150
VInverse
p8727
sg152
Vsing
p8728
sg154
VInverse::sing
p8729
sg156
VThe matrix {{1, 0}, {0, 0}} is singular.
p8730
sasg13
V\u005ctext{Inverse}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{1,0\u005cright\u005c},\u005cleft\u005c{0,0\u005cright\u005c}\u005cright\u005c}\u005cright]
p8731
sg15
I2
sass(g1696
g8506
g8712
I2
tp8732
(dp8733
g6
VInverse[{{1, 0, 0}, {0, Sqrt[3]/2, 1/2}, {0,-1 / 2, Sqrt[3]/2}}]
p8734
sg8
(lp8735
(dp8736
g11
(lp8737
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,0,0\u005cright\u005c},\u005cleft\u005c{0,\u005cfrac{\u005csqrt{3}}{2},-\u005cfrac{1}{2}\u005cright\u005c},\u005cleft\u005c{0,\u005cfrac{1}{2},\u005cfrac{\u005csqrt{3}}{2}\u005cright\u005c}\u005cright\u005c}
p8738
sg15
I3
sass(g1696
g8506
VLeastSquares
p8739
I0
tp8740
(dp8741
g6
VLeastSquares[{{1, 2}, {2, 3}, {5, 6}}, {1, 5, 3}]
p8742
sg8
(lp8743
(dp8744
g11
(lp8745
sg13
V\u005cleft\u005c{-\u005cfrac{28}{13},\u005cfrac{31}{13}\u005cright\u005c}
p8746
sg15
I1
sass(g1696
g8506
g8739
I1
tp8747
(dp8748
g6
VSimplify[LeastSquares[{{1, 2}, {2, 3}, {5, 6}}, {1, x, 3}]]
p8749
sg8
(lp8750
(dp8751
g11
(lp8752
sg13
V\u005cleft\u005c{\u005cfrac{12}{13}-\u005cfrac{8 x}{13},-\u005cfrac{4}{13}+\u005cfrac{7 x}{13}\u005cright\u005c}
p8753
sg15
I2
sass(g1696
g8506
g8739
I2
tp8754
(dp8755
g6
VLeastSquares[{{1, 1, 1}, {1, 1, 2}}, {1, 3}]
p8756
sg8
(lp8757
(dp8758
g11
(lp8759
(dp8760
g149
I01
sg150
VLeastSquares
p8761
sg152
Vunderdetermined
p8762
sg154
VLeastSquares::underdetermined
p8763
sg156
VSolving for underdetermined system not implemented.
p8764
sasg13
V\u005ctext{LeastSquares}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,2\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{1,3\u005cright\u005c}\u005cright]
p8765
sg15
I3
sass(g1696
g8506
VLinearModelFit
p8766
I0
tp8767
(dp8768
g6
Vm = LinearModelFit[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, x, x];
p8769
sg8
(lp8770
(dp8771
g11
(lp8772
sg13
Nsg15
I1
sass(g1696
g8506
g8766
I1
tp8773
(dp8774
g6
Vm["BasisFunctions"]
p8775
sg8
(lp8776
(dp8777
g11
(lp8778
sg13
V\u005cleft\u005c{1,x\u005cright\u005c}
p8779
sg15
I2
sass(g1696
g8506
g8766
I2
tp8780
(dp8781
g6
Vm["BestFit"]
p8782
sg8
(lp8783
(dp8784
g11
(lp8785
sg13
V0.186441+0.779661 x
p8786
sg15
I3
sass(g1696
g8506
g8766
I3
tp8787
(dp8788
g6
Vm["BestFitParameters"]
p8789
sg8
(lp8790
(dp8791
g11
(lp8792
sg13
V\u005cleft\u005c{0.186441,0.779661\u005cright\u005c}
p8793
sg15
I4
sass(g1696
g8506
g8766
I4
tp8794
(dp8795
g6
Vm["DesignMatrix"]
p8796
sg8
(lp8797
(dp8798
g11
(lp8799
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{1,3\u005cright\u005c},\u005cleft\u005c{1,5\u005cright\u005c},\u005cleft\u005c{1,7\u005cright\u005c}\u005cright\u005c}
p8800
sg15
I5
sass(g1696
g8506
g8766
I5
tp8801
(dp8802
g6
Vm["Function"]
p8803
sg8
(lp8804
(dp8805
g11
(lp8806
sg13
V0.186441+0.779661 \u005ctext{\u005c#1}\u005c&
p8807
sg15
I6
sass(g1696
g8506
g8766
I6
tp8808
(dp8809
g6
Vm["Response"]
p8810
sg8
(lp8811
(dp8812
g11
(lp8813
sg13
V\u005cleft\u005c{1,4,3,6\u005cright\u005c}
p8814
sg15
I7
sass(g1696
g8506
g8766
I7
tp8815
(dp8816
g6
Vm["FitResiduals"]
p8817
sg8
(lp8818
(dp8819
g11
(lp8820
sg13
V\u005cleft\u005c{-0.745763,1.47458,-1.08475,0.355932\u005cright\u005c}
p8821
sg15
I8
sass(g1696
g8506
g8766
I8
tp8822
(dp8823
g6
Vm = LinearModelFit[{{2, 2, 1}, {3, 2, 4}, {5, 6, 3}, {7, 9, 6}}, {Sin[x], Cos[y]}, {x, y}];
p8824
sg8
(lp8825
(dp8826
g11
(lp8827
sg13
Nsg15
I9
sass(g1696
g8506
g8766
I9
tp8828
(dp8829
g6
Vm["BasisFunctions"]
p8830
sg8
(lp8831
(dp8832
g11
(lp8833
sg13
V\u005cleft\u005c{1,\u005ctext{Sin}\u005cleft[x\u005cright],\u005ctext{Cos}\u005cleft[y\u005cright]\u005cright\u005c}
p8834
sg15
I10
sass(g1696
g8506
g8766
I10
tp8835
(dp8836
g6
Vm["Function"]
p8837
sg8
(lp8838
(dp8839
g11
(lp8840
sg13
V3.33077-5.65221 \u005ctext{Cos}\u005cleft[\u005ctext{\u005c#2}\u005cright]-5.01042 \u005ctext{Sin}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p8841
sg15
I11
sass(g1696
g8506
g8766
I11
tp8842
(dp8843
g6
Vm = LinearModelFit[{{{1, 4}, {1, 5}, {1, 7}}, {1, 2, 3}}];
p8844
sg8
(lp8845
(dp8846
g11
(lp8847
sg13
Nsg15
I12
sass(g1696
g8506
g8766
I12
tp8848
(dp8849
g6
Vm["BasisFunctions"]
p8850
sg8
(lp8851
(dp8852
g11
(lp8853
sg13
V\u005cleft\u005c{\u005ctext{\u005c#1},\u005ctext{\u005c#2}\u005cright\u005c}
p8854
sg15
I13
sass(g1696
g8506
g8766
I13
tp8855
(dp8856
g6
Vm["FitResiduals"]
p8857
sg8
(lp8858
(dp8859
g11
(lp8860
sg13
V\u005cleft\u005c{-0.142857,0.214286,-0.0714286\u005cright\u005c}
p8861
sg15
I14
sass(g1696
g8506
VLinearSolve
p8862
I0
tp8863
(dp8864
g6
VLinearSolve[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}, {1, 2, 3}]
p8865
sg8
(lp8866
(dp8867
g11
(lp8868
sg13
V\u005cleft\u005c{0,1,2\u005cright\u005c}
p8869
sg15
I1
sass(g1696
g8506
g8862
I1
tp8870
(dp8871
g6
V{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}} . {0, 1, 2}
p8872
sg8
(lp8873
(dp8874
g11
(lp8875
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p8876
sg15
I2
sass(g1696
g8506
g8862
I2
tp8877
(dp8878
g6
VLinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, 1, 1}]
p8879
sg8
(lp8880
(dp8881
g11
(lp8882
sg13
V\u005cleft\u005c{-1,1,0\u005cright\u005c}
p8883
sg15
I3
sass(g1696
g8506
g8862
I3
tp8884
(dp8885
g6
VLinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, -2, 3}]
p8886
sg8
(lp8887
(dp8888
g11
(lp8889
(dp8890
g149
I01
sg150
VLinearSolve
p8891
sg152
Vnosol
p8892
sg154
VLinearSolve::nosol
p8893
sg156
VLinear equation encountered that has no solution.
p8894
sasg13
V\u005ctext{LinearSolve}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{1,2,3\u005cright\u005c},\u005cleft\u005c{4,5,6\u005cright\u005c},\u005cleft\u005c{7,8,9\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{1,-2,3\u005cright\u005c}\u005cright]
p8895
sg15
I4
sass(g1696
g8506
VManhattanDistance
p8896
I0
tp8897
(dp8898
g6
VManhattanDistance[-7, 5]
p8899
sg8
(lp8900
(dp8901
g11
(lp8902
sg13
V12
p8903
sg15
I1
sass(g1696
g8506
g8896
I1
tp8904
(dp8905
g6
VManhattanDistance[{-1, -1}, {1, 1}]
p8906
sg8
(lp8907
(dp8908
g11
(lp8909
sg13
V4
p8910
sg15
I2
sass(g1696
g8506
VMatrixExp
p8911
I0
tp8912
(dp8913
g6
VMatrixExp[{{0, 2}, {0, 1}}]
p8914
sg8
(lp8915
(dp8916
g11
(lp8917
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2+2 E\u005cright\u005c},\u005cleft\u005c{0,E\u005cright\u005c}\u005cright\u005c}
p8918
sg15
I1
sass(g1696
g8506
g8911
I1
tp8919
(dp8920
g6
VMatrixExp[{{1.5, 0.5}, {0.5, 2.0}}]
p8921
sg8
(lp8922
(dp8923
g11
(lp8924
sg13
V\u005cleft\u005c{\u005cleft\u005c{5.16266,3.02952\u005cright\u005c},\u005cleft\u005c{3.02952,8.19218\u005cright\u005c}\u005cright\u005c}
p8925
sg15
I2
sass(g1696
g8506
VMatrixPower
p8926
I0
tp8927
(dp8928
g6
VMatrixPower[{{1, 2}, {1, 1}}, 10]
p8929
sg8
(lp8930
(dp8931
g11
(lp8932
sg13
V\u005cleft\u005c{\u005cleft\u005c{3363,4756\u005cright\u005c},\u005cleft\u005c{2378,3363\u005cright\u005c}\u005cright\u005c}
p8933
sg15
I1
sass(g1696
g8506
g8926
I1
tp8934
(dp8935
g6
VMatrixPower[{{1, 2}, {2, 5}}, -3]
p8936
sg8
(lp8937
(dp8938
g11
(lp8939
sg13
V\u005cleft\u005c{\u005cleft\u005c{169,-70\u005cright\u005c},\u005cleft\u005c{-70,29\u005cright\u005c}\u005cright\u005c}
p8940
sg15
I2
sass(g1696
g8506
VMatrixRank
p8941
I0
tp8942
(dp8943
g6
VMatrixRank[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p8944
sg8
(lp8945
(dp8946
g11
(lp8947
sg13
V2
p8948
sg15
I1
sass(g1696
g8506
g8941
I1
tp8949
(dp8950
g6
VMatrixRank[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8951
sg8
(lp8952
(dp8953
g11
(lp8954
sg13
V3
p8955
sg15
I2
sass(g1696
g8506
g8941
I2
tp8956
(dp8957
g6
VMatrixRank[{{a, b}, {3 a, 3 b}}]
p8958
sg8
(lp8959
(dp8960
g11
(lp8961
sg13
V1
p8962
sg15
I3
sass(g1696
g8506
VNorm
p8963
I0
tp8964
(dp8965
g6
VNorm[{1, 2, 3, 4}, 2]
p8966
sg8
(lp8967
(dp8968
g11
(lp8969
sg13
V\u005csqrt{30}
p8970
sg15
I1
sass(g1696
g8506
g8963
I1
tp8971
(dp8972
g6
VNorm[{10, 100, 200}, 1]
p8973
sg8
(lp8974
(dp8975
g11
(lp8976
sg13
V310
p8977
sg15
I2
sass(g1696
g8506
g8963
I2
tp8978
(dp8979
g6
VNorm[{a, b, c}]
p8980
sg8
(lp8981
(dp8982
g11
(lp8983
sg13
V\u005csqrt{\u005ctext{Abs}\u005cleft[a\u005cright]^2+\u005ctext{Abs}\u005cleft[b\u005cright]^2+\u005ctext{Abs}\u005cleft[c\u005cright]^2}
p8984
sg15
I3
sass(g1696
g8506
g8963
I3
tp8985
(dp8986
g6
VNorm[{-100, 2, 3, 4}, Infinity]
p8987
sg8
(lp8988
(dp8989
g11
(lp8990
sg13
V100
p8991
sg15
I4
sass(g1696
g8506
g8963
I4
tp8992
(dp8993
g6
VNorm[1 + I]
p8994
sg8
(lp8995
(dp8996
g11
(lp8997
sg13
V\u005csqrt{2}
p8998
sg15
I5
sass(g1696
g8506
VNormalize
p8999
I0
tp9000
(dp9001
g6
VNormalize[{1, 1, 1, 1}]
p9002
sg8
(lp9003
(dp9004
g11
(lp9005
sg13
V\u005cleft\u005c{\u005cfrac{1}{2},\u005cfrac{1}{2},\u005cfrac{1}{2},\u005cfrac{1}{2}\u005cright\u005c}
p9006
sg15
I1
sass(g1696
g8506
g8999
I1
tp9007
(dp9008
g6
VNormalize[1 + I]
p9009
sg8
(lp9010
(dp9011
g11
(lp9012
sg13
V\u005cleft(\u005cfrac{1}{2}+\u005cfrac{I}{2}\u005cright) \u005csqrt{2}
p9013
sg15
I2
sass(g1696
g8506
VNullSpace
p9014
I0
tp9015
(dp9016
g6
VNullSpace[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p9017
sg8
(lp9018
(dp9019
g11
(lp9020
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2,1\u005cright\u005c}\u005cright\u005c}
p9021
sg15
I1
sass(g1696
g8506
g9014
I1
tp9022
(dp9023
g6
VA = {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}};
p9024
sg8
(lp9025
(dp9026
g11
(lp9027
sg13
Nsg15
I2
sass(g1696
g8506
g9014
I2
tp9028
(dp9029
g6
VNullSpace[A]
p9030
sg8
(lp9031
(dp9032
g11
(lp9033
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9034
sg15
I3
sass(g1696
g8506
g9014
I3
tp9035
(dp9036
g6
VMatrixRank[A]
p9037
sg8
(lp9038
(dp9039
g11
(lp9040
sg13
V3
p9041
sg15
I4
sass(g1696
g8506
VPseudoInverse
p9042
I0
tp9043
(dp9044
g6
VPseudoInverse[{{1, 2}, {2, 3}, {3, 4}}]
p9045
sg8
(lp9046
(dp9047
g11
(lp9048
sg13
V\u005cleft\u005c{\u005cleft\u005c{-\u005cfrac{11}{6},-\u005cfrac{1}{3},\u005cfrac{7}{6}\u005cright\u005c},\u005cleft\u005c{\u005cfrac{4}{3},\u005cfrac{1}{3},-\u005cfrac{2}{3}\u005cright\u005c}\u005cright\u005c}
p9049
sg15
I1
sass(g1696
g8506
g9042
I1
tp9050
(dp9051
g6
VPseudoInverse[{{1, 2, 0}, {2, 3, 0}, {3, 4, 1}}]
p9052
sg8
(lp9053
(dp9054
g11
(lp9055
sg13
V\u005cleft\u005c{\u005cleft\u005c{-3,2,0\u005cright\u005c},\u005cleft\u005c{2,-1,0\u005cright\u005c},\u005cleft\u005c{1,-2,1\u005cright\u005c}\u005cright\u005c}
p9056
sg15
I2
sass(g1696
g8506
g9042
I2
tp9057
(dp9058
g6
VPseudoInverse[{{1.0, 2.5}, {2.5, 1.0}}]
p9059
sg8
(lp9060
(dp9061
g11
(lp9062
sg13
V\u005cleft\u005c{\u005cleft\u005c{-0.190476,0.47619\u005cright\u005c},\u005cleft\u005c{0.47619,-0.190476\u005cright\u005c}\u005cright\u005c}
p9063
sg15
I3
sass(g1696
g8506
VQRDecomposition
p9064
I0
tp9065
(dp9066
g6
VQRDecomposition[{{1, 2}, {3, 4}, {5, 6}}]
p9067
sg8
(lp9068
(dp9069
g11
(lp9070
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{\u005csqrt{35}}{35},\u005cfrac{3 \u005csqrt{35}}{35},\u005cfrac{\u005csqrt{35}}{7}\u005cright\u005c},\u005cleft\u005c{\u005cfrac{13 \u005csqrt{210}}{210},\u005cfrac{2 \u005csqrt{210}}{105},-\u005cfrac{\u005csqrt{210}}{42}\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{\u005csqrt{35},\u005cfrac{44 \u005csqrt{35}}{35}\u005cright\u005c},\u005cleft\u005c{0,\u005cfrac{2 \u005csqrt{210}}{35}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p9071
sg15
I1
sass(g1696
g8506
VRowReduce
p9072
I0
tp9073
(dp9074
g6
VRowReduce[{{1, 0, a}, {1, 1, b}}]
p9075
sg8
(lp9076
(dp9077
g11
(lp9078
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,0,a\u005cright\u005c},\u005cleft\u005c{0,1,-a+b\u005cright\u005c}\u005cright\u005c}
p9079
sg15
I1
sass(g1696
g8506
g9072
I1
tp9080
(dp9081
g6
VRowReduce[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}] // MatrixForm
p9082
sg8
(lp9083
(dp9084
g11
(lp9085
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 0 & -1\u005c\u005c 0 & 1 & 2\u005c\u005c 0 & 0 & 0\u005cend{array}\u005cright)
p9086
sg15
I2
sass(g1696
g8506
VSingularValueDecomposition
p9087
I0
tp9088
(dp9089
g6
VSingularValueDecomposition[{{1.5, 2.0}, {2.5, 3.0}}]
p9090
sg8
(lp9091
(dp9092
g11
(lp9093
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{0.538954,0.842335\u005cright\u005c},\u005cleft\u005c{0.842335,-0.538954\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{4.63555,0.\u005cright\u005c},\u005cleft\u005c{0.,0.107862\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{0.628678,0.777666\u005cright\u005c},\u005cleft\u005c{-0.777666,0.628678\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p9094
sg15
I1
sass(g1696
g8506
VSquaredEuclideanDistance
p9095
I0
tp9096
(dp9097
g6
VSquaredEuclideanDistance[-7, 5]
p9098
sg8
(lp9099
(dp9100
g11
(lp9101
sg13
V144
p9102
sg15
I1
sass(g1696
g8506
g9095
I1
tp9103
(dp9104
g6
VSquaredEuclideanDistance[{-1, -1}, {1, 1}]
p9105
sg8
(lp9106
(dp9107
g11
(lp9108
sg13
V8
p9109
sg15
I2
sass(g1696
g8506
VTr
p9110
I0
tp9111
(dp9112
g6
VTr[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p9113
sg8
(lp9114
(dp9115
g11
(lp9116
sg13
V15
p9117
sg15
I1
sass(g1696
g8506
g9110
I1
tp9118
(dp9119
g6
VTr[{{a, b, c}, {d, e, f}, {g, h, i}}]
p9120
sg8
(lp9121
(dp9122
g11
(lp9123
sg13
Va+e+i
p9124
sg15
I2
sass(g1696
g8506
VVectorAngle
p9125
I0
tp9126
(dp9127
g6
VVectorAngle[{1, 0}, {0, 1}]
p9128
sg8
(lp9129
(dp9130
g11
(lp9131
sg13
V\u005cfrac{\u005ctext{Pi}}{2}
p9132
sg15
I1
sass(g1696
g8506
g9125
I1
tp9133
(dp9134
g6
VVectorAngle[{1, 2}, {3, 1}]
p9135
sg8
(lp9136
(dp9137
g11
(lp9138
sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p9139
sg15
I2
sass(g1696
g8506
g9125
I2
tp9140
(dp9141
g6
VVectorAngle[{1, 1, 0}, {1, 0, 1}]
p9142
sg8
(lp9143
(dp9144
g11
(lp9145
sg13
V\u005cfrac{\u005ctext{Pi}}{3}
p9146
sg15
I3
sass(g1696
VAttributes
p9147
VAttributes
p9148
I0
tp9149
(dp9150
g6
VAttributes[Plus]
p9151
sg8
(lp9152
(dp9153
g11
(lp9154
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Listable},\u005ctext{NumericFunction},\u005ctext{OneIdentity},\u005ctext{Orderless},\u005ctext{Protected}\u005cright\u005c}
p9155
sg15
I1
sass(g1696
g9147
g9148
I1
tp9156
(dp9157
g6
VAttributes[a + b + c]
p9158
sg8
(lp9159
(dp9160
g11
(lp9161
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Listable},\u005ctext{NumericFunction},\u005ctext{OneIdentity},\u005ctext{Orderless},\u005ctext{Protected}\u005cright\u005c}
p9162
sg15
I2
sass(g1696
g9147
g9148
I2
tp9163
(dp9164
g6
VAttributes[f] = {Flat, Orderless}
p9165
sg8
(lp9166
(dp9167
g11
(lp9168
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p9169
sg15
I3
sass(g1696
g9147
g9148
I3
tp9170
(dp9171
g6
Vf[b, f[a, c]]
p9172
sg8
(lp9173
(dp9174
g11
(lp9175
sg13
Vf\u005cleft[a,b,c\u005cright]
p9176
sg15
I4
sass(g1696
g9147
g9148
I4
tp9177
(dp9178
g6
VAttributes[f] := {a + b}
p9179
sg8
(lp9180
(dp9181
g11
(lp9182
(dp9183
g149
I01
sg150
VAttributes
p9184
sg152
g7974
sg154
VAttributes::sym
p9185
sg156
VArgument a + b at position 1 is expected to be a symbol.
p9186
sasg13
V\u005ctext{\u005c$Failed}
p9187
sg15
I5
sass(g1696
g9147
g9148
I5
tp9188
(dp9189
g6
VAttributes[f] = Symbol["Listable"]
p9190
sg8
(lp9191
(dp9192
g11
(lp9193
sg13
V\u005ctext{Listable}
p9194
sg15
I6
sass(g1696
g9147
g9148
I6
tp9195
(dp9196
g6
VAttributes[f]
p9197
sg8
(lp9198
(dp9199
g11
(lp9200
sg13
V\u005cleft\u005c{\u005ctext{Listable}\u005cright\u005c}
p9201
sg15
I7
sass(g1696
g9147
VClearAttributes
p9202
I0
tp9203
(dp9204
g6
VSetAttributes[f, Flat]
p9205
sg8
(lp9206
(dp9207
g11
(lp9208
sg13
Nsg15
I1
sass(g1696
g9147
g9202
I1
tp9209
(dp9210
g6
VAttributes[f]
p9211
sg8
(lp9212
(dp9213
g11
(lp9214
sg13
V\u005cleft\u005c{\u005ctext{Flat}\u005cright\u005c}
p9215
sg15
I2
sass(g1696
g9147
g9202
I2
tp9216
(dp9217
g6
VClearAttributes[f, Flat]
p9218
sg8
(lp9219
(dp9220
g11
(lp9221
sg13
Nsg15
I3
sass(g1696
g9147
g9202
I3
tp9222
(dp9223
g6
VAttributes[f]
p9224
sg8
(lp9225
(dp9226
g11
(lp9227
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9228
sg15
I4
sass(g1696
g9147
g9202
I4
tp9229
(dp9230
g6
VClearAttributes[{f}, {Flat}]
p9231
sg8
(lp9232
(dp9233
g11
(lp9234
sg13
Nsg15
I5
sass(g1696
g9147
g9202
I5
tp9235
(dp9236
g6
VAttributes[f]
p9237
sg8
(lp9238
(dp9239
g11
(lp9240
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9241
sg15
I6
sass(g1696
g9147
VConstant
p9242
I0
tp9243
(dp9244
g6
VAttributes[E]
p9245
sg8
(lp9246
(dp9247
g11
(lp9248
sg13
V\u005cleft\u005c{\u005ctext{Constant},\u005ctext{Protected},\u005ctext{ReadProtected}\u005cright\u005c}
p9249
sg15
I1
sass(g1696
g9147
g9242
I1
tp9250
(dp9251
g6
VSolve[x + E == 0, E]
p9252
sg8
(lp9253
(dp9254
g11
(lp9255
(dp9256
g149
I01
sg150
VSolve
p9257
sg152
Vivar
p9258
sg154
VSolve::ivar
p9259
sg156
VE is not a valid variable.
p9260
sasg13
V\u005ctext{Solve}\u005cleft[E+x\u005ctext{==}0,E\u005cright]
p9261
sg15
I2
sass(g1696
g9147
VFlat
p9262
I0
tp9263
(dp9264
g6
VSetAttributes[f, Flat]
p9265
sg8
(lp9266
(dp9267
g11
(lp9268
sg13
Nsg15
I1
sass(g1696
g9147
g9262
I1
tp9269
(dp9270
g6
Vf[a, f[b, c]]
p9271
sg8
(lp9272
(dp9273
g11
(lp9274
sg13
Vf\u005cleft[a,b,c\u005cright]
p9275
sg15
I2
sass(g1696
g9147
g9262
I2
tp9276
(dp9277
g6
Vf[a, b, c] /. f[a, b] -> d
p9278
sg8
(lp9279
(dp9280
g11
(lp9281
sg13
Vf\u005cleft[d,c\u005cright]
p9282
sg15
I3
sass(g1696
g9147
VHoldAll
p9283
I0
tp9284
(dp9285
g6
VAttributes[Function]
p9286
sg8
(lp9287
(dp9288
g11
(lp9289
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p9290
sg15
I1
sass(g1696
g9147
VHoldAllComplete
p9291
I0
tp9292
(dp9293
g6
VSetAttributes[f, HoldAllComplete]
p9294
sg8
(lp9295
(dp9296
g11
(lp9297
sg13
Nsg15
I1
sass(g1696
g9147
g9291
I1
tp9298
(dp9299
g6
Vf[a] ^= 3;
p9300
sg8
(lp9301
(dp9302
g11
(lp9303
sg13
Nsg15
I2
sass(g1696
g9147
g9291
I2
tp9304
(dp9305
g6
Vf[a]
p9306
sg8
(lp9307
(dp9308
g11
(lp9309
sg13
Vf\u005cleft[a\u005cright]
p9310
sg15
I3
sass(g1696
g9147
g9291
I3
tp9311
(dp9312
g6
Vf[Sequence[a, b]]
p9313
sg8
(lp9314
(dp9315
g11
(lp9316
sg13
Vf\u005cleft[\u005ctext{Sequence}\u005cleft[a,b\u005cright]\u005cright]
p9317
sg15
I4
sass(g1696
g9147
VHoldFirst
p9318
I0
tp9319
(dp9320
g6
VAttributes[Set]
p9321
sg8
(lp9322
(dp9323
g11
(lp9324
sg13
V\u005cleft\u005c{\u005ctext{HoldFirst},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p9325
sg15
I1
sass(g1696
g9147
VHoldRest
p9326
I0
tp9327
(dp9328
g6
VAttributes[If]
p9329
sg8
(lp9330
(dp9331
g11
(lp9332
sg13
V\u005cleft\u005c{\u005ctext{HoldRest},\u005ctext{Protected}\u005cright\u005c}
p9333
sg15
I1
sass(g1696
g9147
VListable
p9334
I0
tp9335
(dp9336
g6
VSetAttributes[f, Listable]
p9337
sg8
(lp9338
(dp9339
g11
(lp9340
sg13
Nsg15
I1
sass(g1696
g9147
g9334
I1
tp9341
(dp9342
g6
Vf[{1, 2, 3}, {4, 5, 6}]
p9343
sg8
(lp9344
(dp9345
g11
(lp9346
sg13
V\u005cleft\u005c{f\u005cleft[1,4\u005cright],f\u005cleft[2,5\u005cright],f\u005cleft[3,6\u005cright]\u005cright\u005c}
p9347
sg15
I2
sass(g1696
g9147
g9334
I2
tp9348
(dp9349
g6
Vf[{1, 2, 3}, 4]
p9350
sg8
(lp9351
(dp9352
g11
(lp9353
sg13
V\u005cleft\u005c{f\u005cleft[1,4\u005cright],f\u005cleft[2,4\u005cright],f\u005cleft[3,4\u005cright]\u005cright\u005c}
p9354
sg15
I3
sass(g1696
g9147
g9334
I3
tp9355
(dp9356
g6
V{{1, 2}, {3, 4}} + {5, 6}
p9357
sg8
(lp9358
(dp9359
g11
(lp9360
sg13
V\u005cleft\u005c{\u005cleft\u005c{6,7\u005cright\u005c},\u005cleft\u005c{9,10\u005cright\u005c}\u005cright\u005c}
p9361
sg15
I4
sass(g1696
g9147
VLocked
p9362
I0
tp9363
(dp9364
g6
VAttributes[lock] = {Flat, Locked};
p9365
sg8
(lp9366
(dp9367
g11
(lp9368
sg13
Nsg15
I1
sass(g1696
g9147
g9362
I1
tp9369
(dp9370
g6
VSetAttributes[lock, {}]
p9371
sg8
(lp9372
(dp9373
g11
(lp9374
(dp9375
g149
I01
sg150
VSetAttributes
p9376
sg152
Vlocked
p9377
sg154
VSetAttributes::locked
p9378
sg156
VSymbol lock is locked.
p9379
sasg13
Nsg15
I2
sass(g1696
g9147
g9362
I2
tp9380
(dp9381
g6
VClearAttributes[lock, Flat]
p9382
sg8
(lp9383
(dp9384
g11
(lp9385
(dp9386
g149
I01
sg150
VClearAttributes
p9387
sg152
g9377
sg154
VClearAttributes::locked
p9388
sg156
VSymbol lock is locked.
p9389
sasg13
Nsg15
I3
sass(g1696
g9147
g9362
I3
tp9390
(dp9391
g6
VAttributes[lock] = {}
p9392
sg8
(lp9393
(dp9394
g11
(lp9395
(dp9396
g149
I01
sg150
VAttributes
p9397
sg152
g9377
sg154
VAttributes::locked
p9398
sg156
VSymbol lock is locked.
p9399
sasg13
V\u005cleft\u005c{\u005cright\u005c}
p9400
sg15
I4
sass(g1696
g9147
g9362
I4
tp9401
(dp9402
g6
VAttributes[lock]
p9403
sg8
(lp9404
(dp9405
g11
(lp9406
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Locked}\u005cright\u005c}
p9407
sg15
I5
sass(g1696
g9147
g9362
I5
tp9408
(dp9409
g6
Vlock = 3
p9410
sg8
(lp9411
(dp9412
g11
(lp9413
sg13
V3
p9414
sg15
I6
sass(g1696
g9147
VNHoldAll
p9415
I0
tp9416
(dp9417
g6
VN[f[2, 3]]
p9418
sg8
(lp9419
(dp9420
g11
(lp9421
sg13
Vf\u005cleft[2.,3.\u005cright]
p9422
sg15
I1
sass(g1696
g9147
g9415
I1
tp9423
(dp9424
g6
VSetAttributes[f, NHoldAll]
p9425
sg8
(lp9426
(dp9427
g11
(lp9428
sg13
Nsg15
I2
sass(g1696
g9147
g9415
I2
tp9429
(dp9430
g6
VN[f[2, 3]]
p9431
sg8
(lp9432
(dp9433
g11
(lp9434
sg13
Vf\u005cleft[2,3\u005cright]
p9435
sg15
I3
sass(g1696
g9147
VOneIdentity
p9436
I0
tp9437
(dp9438
g6
VSetAttributes[f, OneIdentity]
p9439
sg8
(lp9440
(dp9441
g11
(lp9442
sg13
Nsg15
I1
sass(g1696
g9147
g9436
I1
tp9443
(dp9444
g6
Va /. f[args___] -> {args}
p9445
sg8
(lp9446
(dp9447
g11
(lp9448
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p9449
sg15
I2
sass(g1696
g9147
g9436
I2
tp9450
(dp9451
g6
Vf[a]
p9452
sg8
(lp9453
(dp9454
g11
(lp9455
sg13
Vf\u005cleft[a\u005cright]
p9456
sg15
I3
sass(g1696
g9147
VOrderless
p9457
I0
tp9458
(dp9459
g6
VSetAttributes[f, Orderless]
p9460
sg8
(lp9461
(dp9462
g11
(lp9463
sg13
Nsg15
I1
sass(g1696
g9147
g9457
I1
tp9464
(dp9465
g6
Vf[c, a, b, a + b, 3, 1.0]
p9466
sg8
(lp9467
(dp9468
g11
(lp9469
sg13
Vf\u005cleft[1.,3,a,b,c,a+b\u005cright]
p9470
sg15
I2
sass(g1696
g9147
g9457
I2
tp9471
(dp9472
g6
Vf[a, b] == f[b, a]
p9473
sg8
(lp9474
(dp9475
g11
(lp9476
sg13
V\u005ctext{True}
p9477
sg15
I3
sass(g1696
g9147
g9457
I3
tp9478
(dp9479
g6
VSetAttributes[f, Flat]
p9480
sg8
(lp9481
(dp9482
g11
(lp9483
sg13
Nsg15
I4
sass(g1696
g9147
g9457
I4
tp9484
(dp9485
g6
Vf[a, b, c] /. f[a, c] -> d
p9486
sg8
(lp9487
(dp9488
g11
(lp9489
sg13
Vf\u005cleft[b,d\u005cright]
p9490
sg15
I5
sass(g1696
g9147
VProtect
p9491
I0
tp9492
(dp9493
g6
VA = {1, 2, 3};
p9494
sg8
(lp9495
(dp9496
g11
(lp9497
sg13
Nsg15
I1
sass(g1696
g9147
g9491
I1
tp9498
(dp9499
g6
VProtect[A]
p9500
sg8
(lp9501
(dp9502
g11
(lp9503
sg13
Nsg15
I2
sass(g1696
g9147
g9491
I2
tp9504
(dp9505
g6
VA[[2]] = 4;
p9506
sg8
(lp9507
(dp9508
g11
(lp9509
(dp9510
g149
I01
sg150
VSet
p9511
sg152
Vwrsym
p9512
sg154
VSet::wrsym
p9513
sg156
VSymbol A is Protected.
p9514
sasg13
Nsg15
I3
sass(g1696
g9147
g9491
I3
tp9515
(dp9516
g6
VA
p9517
sg8
(lp9518
(dp9519
g11
(lp9520
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p9521
sg15
I4
sass(g1696
g9147
VProtected
p9522
I0
tp9523
(dp9524
g6
VAttributes[p] = {Protected};
p9525
sg8
(lp9526
(dp9527
g11
(lp9528
sg13
Nsg15
I1
sass(g1696
g9147
g9522
I1
tp9529
(dp9530
g6
Vp = 2;
p9531
sg8
(lp9532
(dp9533
g11
(lp9534
(dp9535
g149
I01
sg150
VSet
p9536
sg152
g9512
sg154
VSet::wrsym
p9537
sg156
VSymbol p is Protected.
p9538
sasg13
Nsg15
I2
sass(g1696
g9147
g9522
I2
tp9539
(dp9540
g6
Vf[p] ^= 3;
p9541
sg8
(lp9542
(dp9543
g11
(lp9544
(dp9545
g149
I01
sg150
VUpSet
p9546
sg152
g1665
sg154
VUpSet::write
p9547
sg156
VTag p in f[p] is Protected.
p9548
sasg13
Nsg15
I3
sass(g1696
g9147
g9522
I3
tp9549
(dp9550
g6
VFormat[p] = "text";
p9551
sg8
(lp9552
(dp9553
g11
(lp9554
(dp9555
g149
I01
sg150
VSet
p9556
sg152
g9512
sg154
VSet::wrsym
p9557
sg156
VSymbol p is Protected.
p9558
sasg13
Nsg15
I4
sass(g1696
g9147
g9522
I4
tp9559
(dp9560
g6
VSetAttributes[p, Flat]
p9561
sg8
(lp9562
(dp9563
g11
(lp9564
sg13
Nsg15
I5
sass(g1696
g9147
g9522
I5
tp9565
(dp9566
g6
VAttributes[p]
p9567
sg8
(lp9568
(dp9569
g11
(lp9570
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Protected}\u005cright\u005c}
p9571
sg15
I6
sass(g1696
g9147
g9522
I6
tp9572
(dp9573
g6
VAttributes[p] = {};
p9574
sg8
(lp9575
(dp9576
g11
(lp9577
sg13
Nsg15
I7
sass(g1696
g9147
g9522
I7
tp9578
(dp9579
g6
Vp = 2
p9580
sg8
(lp9581
(dp9582
g11
(lp9583
sg13
V2
p9584
sg15
I8
sass(g1696
g9147
g9522
I8
tp9585
(dp9586
g6
VProtect[p]
p9587
sg8
(lp9588
(dp9589
g11
(lp9590
sg13
Nsg15
I9
sass(g1696
g9147
g9522
I9
tp9591
(dp9592
g6
VAttributes[p]
p9593
sg8
(lp9594
(dp9595
g11
(lp9596
sg13
V\u005cleft\u005c{\u005ctext{Protected}\u005cright\u005c}
p9597
sg15
I10
sass(g1696
g9147
g9522
I10
tp9598
(dp9599
g6
VUnprotect[p]
p9600
sg8
(lp9601
(dp9602
g11
(lp9603
sg13
Nsg15
I11
sass(g1696
g9147
g9522
I11
tp9604
(dp9605
g6
VSetAttributes[p, {Protected, Locked}]
p9606
sg8
(lp9607
(dp9608
g11
(lp9609
sg13
Nsg15
I12
sass(g1696
g9147
g9522
I12
tp9610
(dp9611
g6
Vp = 2
p9612
sg8
(lp9613
(dp9614
g11
(lp9615
(dp9616
g149
I01
sg150
VSet
p9617
sg152
g9512
sg154
VSet::wrsym
p9618
sg156
VSymbol p is Protected.
p9619
sasg13
V2
p9620
sg15
I13
sass(g1696
g9147
g9522
I13
tp9621
(dp9622
g6
VUnprotect[p]
p9623
sg8
(lp9624
(dp9625
g11
(lp9626
(dp9627
g149
I01
sg150
VClearAttributes
p9628
sg152
g9377
sg154
VClearAttributes::locked
p9629
sg156
VSymbol p is locked.
p9630
sasg13
Nsg15
I14
sass(g1696
g9147
VReadProtected
p9631
I0
tp9632
(dp9633
g6
VClearAll[p]
p9634
sg8
(lp9635
(dp9636
g11
(lp9637
sg13
Nsg15
I1
sass(g1696
g9147
g9631
I1
tp9638
(dp9639
g6
Vp = 3;
p9640
sg8
(lp9641
(dp9642
g11
(lp9643
sg13
Nsg15
I2
sass(g1696
g9147
g9631
I2
tp9644
(dp9645
g6
VDefinition[p]
p9646
sg8
(lp9647
(dp9648
g11
(lp9649
sg13
V\u005cbegin{array}{l} p=3\u005cend{array}
p9650
sg15
I3
sass(g1696
g9147
g9631
I3
tp9651
(dp9652
g6
VSetAttributes[p, ReadProtected]
p9653
sg8
(lp9654
(dp9655
g11
(lp9656
sg13
Nsg15
I4
sass(g1696
g9147
g9631
I4
tp9657
(dp9658
g6
VDefinition[p]
p9659
sg8
(lp9660
(dp9661
g11
(lp9662
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[p\u005cright]=\u005cleft\u005c{\u005ctext{ReadProtected}\u005cright\u005c}\u005cend{array}
p9663
sg15
I5
sass(g1696
g9147
VSequenceHold
p9664
I0
tp9665
(dp9666
g6
Vf[Sequence[a, b]]
p9667
sg8
(lp9668
(dp9669
g11
(lp9670
sg13
Vf\u005cleft[a,b\u005cright]
p9671
sg15
I1
sass(g1696
g9147
g9664
I1
tp9672
(dp9673
g6
VSetAttributes[f, SequenceHold]
p9674
sg8
(lp9675
(dp9676
g11
(lp9677
sg13
Nsg15
I2
sass(g1696
g9147
g9664
I2
tp9678
(dp9679
g6
Vf[Sequence[a, b]]
p9680
sg8
(lp9681
(dp9682
g11
(lp9683
sg13
Vf\u005cleft[\u005ctext{Sequence}\u005cleft[a,b\u005cright]\u005cright]
p9684
sg15
I3
sass(g1696
g9147
g9664
I3
tp9685
(dp9686
g6
Vs = Sequence[a, b];
p9687
sg8
(lp9688
(dp9689
g11
(lp9690
sg13
Nsg15
I4
sass(g1696
g9147
g9664
I4
tp9691
(dp9692
g6
Vs
p9693
sg8
(lp9694
(dp9695
g11
(lp9696
sg13
V\u005ctext{Sequence}\u005cleft[a,b\u005cright]
p9697
sg15
I5
sass(g1696
g9147
g9664
I5
tp9698
(dp9699
g6
VPlus[s]
p9700
sg8
(lp9701
(dp9702
g11
(lp9703
sg13
Va+b
p9704
sg15
I6
sass(g1696
g9147
VSetAttributes
p9705
I0
tp9706
(dp9707
g6
VSetAttributes[f, Flat]
p9708
sg8
(lp9709
(dp9710
g11
(lp9711
sg13
Nsg15
I1
sass(g1696
g9147
g9705
I1
tp9712
(dp9713
g6
VAttributes[f]
p9714
sg8
(lp9715
(dp9716
g11
(lp9717
sg13
V\u005cleft\u005c{\u005ctext{Flat}\u005cright\u005c}
p9718
sg15
I2
sass(g1696
g9147
g9705
I2
tp9719
(dp9720
g6
VSetAttributes[{f, g}, {Flat, Orderless}]
p9721
sg8
(lp9722
(dp9723
g11
(lp9724
sg13
Nsg15
I3
sass(g1696
g9147
g9705
I3
tp9725
(dp9726
g6
VAttributes[g]
p9727
sg8
(lp9728
(dp9729
g11
(lp9730
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p9731
sg15
I4
sass(g1696
VAssignment
p9732
VAddTo
p9733
I0
tp9734
(dp9735
g6
Va = 10;
p9736
sg8
(lp9737
(dp9738
g11
(lp9739
sg13
Nsg15
I1
sass(g1696
g9732
g9733
I1
tp9740
(dp9741
g6
Va += 2
p9742
sg8
(lp9743
(dp9744
g11
(lp9745
sg13
V12
p9746
sg15
I2
sass(g1696
g9732
g9733
I2
tp9747
(dp9748
g6
g542
sg8
(lp9749
(dp9750
g11
(lp9751
sg13
V12
p9752
sg15
I3
sass(g1696
g9732
VClear
p9753
I0
tp9754
(dp9755
g6
Vx = 2;
p9756
sg8
(lp9757
(dp9758
g11
(lp9759
sg13
Nsg15
I1
sass(g1696
g9732
g9753
I1
tp9760
(dp9761
g6
VClear[x]
p9762
sg8
(lp9763
(dp9764
g11
(lp9765
sg13
Nsg15
I2
sass(g1696
g9732
g9753
I2
tp9766
(dp9767
g6
g195
sg8
(lp9768
(dp9769
g11
(lp9770
sg13
g195
sg15
I3
sass(g1696
g9732
g9753
I3
tp9771
(dp9772
g6
Vx = 2;
p9773
sg8
(lp9774
(dp9775
g11
(lp9776
sg13
Nsg15
I4
sass(g1696
g9732
g9753
I4
tp9777
(dp9778
g6
Vy = 3;
p9779
sg8
(lp9780
(dp9781
g11
(lp9782
sg13
Nsg15
I5
sass(g1696
g9732
g9753
I5
tp9783
(dp9784
g6
VClear["Global`*"]
p9785
sg8
(lp9786
(dp9787
g11
(lp9788
sg13
Nsg15
I6
sass(g1696
g9732
g9753
I6
tp9789
(dp9790
g6
g195
sg8
(lp9791
(dp9792
g11
(lp9793
sg13
g195
sg15
I7
sass(g1696
g9732
g9753
I7
tp9794
(dp9795
g6
g2055
sg8
(lp9796
(dp9797
g11
(lp9798
sg13
g2055
sg15
I8
sass(g1696
g9732
g9753
I8
tp9799
(dp9800
g6
VClear[Sin]
p9801
sg8
(lp9802
(dp9803
g11
(lp9804
(dp9805
g149
I01
sg150
VClear
p9806
sg152
g9512
sg154
VClear::wrsym
p9807
sg156
VSymbol Sin is Protected.
p9808
sasg13
Nsg15
I9
sass(g1696
g9732
g9753
I9
tp9809
(dp9810
g6
VUnprotect[Sin]
p9811
sg8
(lp9812
(dp9813
g11
(lp9814
sg13
Nsg15
I10
sass(g1696
g9732
g9753
I10
tp9815
(dp9816
g6
VClear[Sin]
p9817
sg8
(lp9818
(dp9819
g11
(lp9820
sg13
Nsg15
I11
sass(g1696
g9732
g9753
I11
tp9821
(dp9822
g6
VSin[Pi]
p9823
sg8
(lp9824
(dp9825
g11
(lp9826
sg13
V0
p9827
sg15
I12
sass(g1696
g9732
g9753
I12
tp9828
(dp9829
g6
VAttributes[r] = {Flat, Orderless};
p9830
sg8
(lp9831
(dp9832
g11
(lp9833
sg13
Nsg15
I13
sass(g1696
g9732
g9753
I13
tp9834
(dp9835
g6
VClear["r"]
p9836
sg8
(lp9837
(dp9838
g11
(lp9839
sg13
Nsg15
I14
sass(g1696
g9732
g9753
I14
tp9840
(dp9841
g6
VAttributes[r]
p9842
sg8
(lp9843
(dp9844
g11
(lp9845
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p9846
sg15
I15
sass(g1696
g9732
VClearAll
p9847
I0
tp9848
(dp9849
g6
Vx = 2;
p9850
sg8
(lp9851
(dp9852
g11
(lp9853
sg13
Nsg15
I1
sass(g1696
g9732
g9847
I1
tp9854
(dp9855
g6
VClearAll[x]
p9856
sg8
(lp9857
(dp9858
g11
(lp9859
sg13
Nsg15
I2
sass(g1696
g9732
g9847
I2
tp9860
(dp9861
g6
g195
sg8
(lp9862
(dp9863
g11
(lp9864
sg13
g195
sg15
I3
sass(g1696
g9732
g9847
I3
tp9865
(dp9866
g6
VAttributes[r] = {Flat, Orderless};
p9867
sg8
(lp9868
(dp9869
g11
(lp9870
sg13
Nsg15
I4
sass(g1696
g9732
g9847
I4
tp9871
(dp9872
g6
VClearAll[r]
p9873
sg8
(lp9874
(dp9875
g11
(lp9876
sg13
Nsg15
I5
sass(g1696
g9732
g9847
I5
tp9877
(dp9878
g6
VAttributes[r]
p9879
sg8
(lp9880
(dp9881
g11
(lp9882
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9883
sg15
I6
sass(g1696
g9732
g9847
I6
tp9884
(dp9885
g6
VAttributes[lock] = {Locked};
p9886
sg8
(lp9887
(dp9888
g11
(lp9889
sg13
Nsg15
I7
sass(g1696
g9732
g9847
I7
tp9890
(dp9891
g6
VClearAll[lock]
p9892
sg8
(lp9893
(dp9894
g11
(lp9895
(dp9896
g149
I01
sg150
VClear
p9897
sg152
g9377
sg154
VClear::locked
p9898
sg156
VSymbol lock is locked.
p9899
sasg13
Nsg15
I8
sass(g1696
g9732
VDecrement
p9900
I0
tp9901
(dp9902
g6
Va = 5;
p9903
sg8
(lp9904
(dp9905
g11
(lp9906
sg13
Nsg15
I1
sass(g1696
g9732
g9900
I1
tp9907
(dp9908
g6
Va--
p9909
sg8
(lp9910
(dp9911
g11
(lp9912
sg13
V5
p9913
sg15
I2
sass(g1696
g9732
g9900
I2
tp9914
(dp9915
g6
g542
sg8
(lp9916
(dp9917
g11
(lp9918
sg13
V4
p9919
sg15
I3
sass(g1696
g9732
VDefaultValues
p9920
I0
tp9921
(dp9922
g6
VDefault[f, 1] = 4
p9923
sg8
(lp9924
(dp9925
g11
(lp9926
sg13
V4
p9927
sg15
I1
sass(g1696
g9732
g9920
I1
tp9928
(dp9929
g6
VDefaultValues[f]
p9930
sg8
(lp9931
(dp9932
g11
(lp9933
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[f,1\u005cright]\u005cright]\u005ctext{:>}4\u005cright\u005c}
p9934
sg15
I2
sass(g1696
g9732
g9920
I2
tp9935
(dp9936
g6
VDefaultValues[g] = {Default[g] -> 3};
p9937
sg8
(lp9938
(dp9939
g11
(lp9940
sg13
Nsg15
I3
sass(g1696
g9732
g9920
I3
tp9941
(dp9942
g6
VDefault[g, 1]
p9943
sg8
(lp9944
(dp9945
g11
(lp9946
sg13
V3
p9947
sg15
I4
sass(g1696
g9732
g9920
I4
tp9948
(dp9949
g6
Vg[x_.] := {x}
p9950
sg8
(lp9951
(dp9952
g11
(lp9953
sg13
Nsg15
I5
sass(g1696
g9732
g9920
I5
tp9954
(dp9955
g6
Vg[a]
p9956
sg8
(lp9957
(dp9958
g11
(lp9959
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p9960
sg15
I6
sass(g1696
g9732
g9920
I6
tp9961
(dp9962
g6
Vg[]
p9963
sg8
(lp9964
(dp9965
g11
(lp9966
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p9967
sg15
I7
sass(g1696
g9732
VDefinition
p9968
I0
tp9969
(dp9970
g6
Va = 2;
p9971
sg8
(lp9972
(dp9973
g11
(lp9974
sg13
Nsg15
I1
sass(g1696
g9732
g9968
I1
tp9975
(dp9976
g6
VDefinition[a]
p9977
sg8
(lp9978
(dp9979
g11
(lp9980
sg13
V\u005cbegin{array}{l} a=2\u005cend{array}
p9981
sg15
I2
sass(g1696
g9732
g9968
I2
tp9982
(dp9983
g6
Vf[x_] := x ^ 2
p9984
sg8
(lp9985
(dp9986
g11
(lp9987
sg13
Nsg15
I3
sass(g1696
g9732
g9968
I3
tp9988
(dp9989
g6
Vg[f] ^:= 2
p9990
sg8
(lp9991
(dp9992
g11
(lp9993
sg13
Nsg15
I4
sass(g1696
g9732
g9968
I4
tp9994
(dp9995
g6
VDefinition[f]
p9996
sg8
(lp9997
(dp9998
g11
(lp9999
sg13
V\u005cbegin{array}{l} f\u005cleft[\u005ctext{x\u005c_}\u005cright]=x^2\u005c\u005c g\u005cleft[f\u005cright]\u005ctext{${}^{\u005cwedge}$=}2\u005cend{array}
p10000
sg15
I5
sass(g1696
g9732
g9968
I5
tp10001
(dp10002
g6
VAttributes[r] := {Orderless}
p10003
sg8
(lp10004
(dp10005
g11
(lp10006
sg13
Nsg15
I6
sass(g1696
g9732
g9968
I6
tp10007
(dp10008
g6
VFormat[r[args___]] := Infix[{args}, "~"]
p10009
sg8
(lp10010
(dp10011
g11
(lp10012
sg13
Nsg15
I7
sass(g1696
g9732
g9968
I7
tp10013
(dp10014
g6
VN[r] := 3.5
p10015
sg8
(lp10016
(dp10017
g11
(lp10018
sg13
Nsg15
I8
sass(g1696
g9732
g9968
I8
tp10019
(dp10020
g6
VDefault[r, 1] := 2
p10021
sg8
(lp10022
(dp10023
g11
(lp10024
sg13
Nsg15
I9
sass(g1696
g9732
g9968
I9
tp10025
(dp10026
g6
Vr::msg := "My message"
p10027
sg8
(lp10028
(dp10029
g11
(lp10030
sg13
Nsg15
I10
sass(g1696
g9732
g9968
I10
tp10031
(dp10032
g6
VOptions[r] := {Opt -> 3}
p10033
sg8
(lp10034
(dp10035
g11
(lp10036
sg13
Nsg15
I11
sass(g1696
g9732
g9968
I11
tp10037
(dp10038
g6
Vr[arg_., OptionsPattern[r]] := {arg, OptionValue[Opt]}
p10039
sg8
(lp10040
(dp10041
g11
(lp10042
sg13
Nsg15
I12
sass(g1696
g9732
g9968
I12
tp10043
(dp10044
g6
Vr[z, x, y]
p10045
sg8
(lp10046
(dp10047
g11
(lp10048
sg13
Vx\u005csim{}y\u005csim{}z
p10049
sg15
I13
sass(g1696
g9732
g9968
I13
tp10050
(dp10051
g6
VN[r]
p10052
sg8
(lp10053
(dp10054
g11
(lp10055
sg13
V3.5
p10056
sg15
I14
sass(g1696
g9732
g9968
I14
tp10057
(dp10058
g6
Vr[]
p10059
sg8
(lp10060
(dp10061
g11
(lp10062
sg13
V\u005cleft\u005c{2,3\u005cright\u005c}
p10063
sg15
I15
sass(g1696
g9732
g9968
I15
tp10064
(dp10065
g6
Vr[5, Opt->7]
p10066
sg8
(lp10067
(dp10068
g11
(lp10069
sg13
V\u005cleft\u005c{5,7\u005cright\u005c}
p10070
sg15
I16
sass(g1696
g9732
g9968
I16
tp10071
(dp10072
g6
VDefinition[r]
p10073
sg8
(lp10074
(dp10075
g11
(lp10076
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[r\u005cright]=\u005cleft\u005c{\u005ctext{Orderless}\u005cright\u005c}\u005c\u005c \u005ctext{arg\u005c_.}\u005csim{}\u005ctext{OptionsPattern}\u005cleft[r\u005cright]=\u005cleft\u005c{\u005ctext{arg},\u005ctext{OptionValue}\u005cleft[\u005ctext{Opt}\u005cright]\u005cright\u005c}\u005c\u005c N\u005cleft[r,\u005ctext{MachinePrecision}\u005cright]=3.5\u005c\u005c \u005ctext{Format}\u005cleft[\u005ctext{args\u005c_\u005c_\u005c_},\u005ctext{MathMLForm}\u005cright]=\u005ctext{Infix}\u005cleft[\u005cleft\u005c{\u005ctext{args}\u005cright\u005c}, \u005ctext{"$\u005csim$"}\u005cright]\u005c\u005c \u005ctext{Format}\u005cleft[\u005ctext{args\u005c_\u005c_\u005c_},\u005ctext{OutputForm}\u005cright]=\u005ctext{Infix}\u005cleft[\u005cleft\u005c{\u005ctext{args}\u005cright\u005c}, \u005ctext{"$\u005csim$"}\u005cright]\u005c\u005c \u005ctext{Format}\u005cleft[\u005ctext{args\u005c_\u005c_\u005c_},\u005ctext{StandardForm}\u005cright]=\u005ctext{Infix}\u005cleft[\u005cleft\u005c{\u005ctext{args}\u005cright\u005c}, \u005ctext{"$\u005csim$"}\u005cright]\u005c\u005c \u005ctext{Format}\u005cleft[\u005ctext{args\u005c_\u005c_\u005c_},\u005ctext{TeXForm}\u005cright]=\u005ctext{Infix}\u005cleft[\u005cleft\u005c{\u005ctext{args}\u005cright\u005c}, \u005ctext{"$\u005csim$"}\u005cright]\u005c\u005c \u005ctext{Format}\u005cleft[\u005ctext{args\u005c_\u005c_\u005c_},\u005ctext{TraditionalForm}\u005cright]=\u005ctext{Infix}\u005cleft[\u005cleft\u005c{\u005ctext{args}\u005cright\u005c}, \u005ctext{"$\u005csim$"}\u005cright]\u005c\u005c \u005ctext{Default}\u005cleft[r,1\u005cright]=2\u005c\u005c \u005ctext{Options}\u005cleft[r\u005cright]=\u005cleft\u005c{\u005ctext{Opt}->3\u005cright\u005c}\u005cend{array}
p10077
sg15
I17
sass(g1696
g9732
g9968
I17
tp10078
(dp10079
g6
VSetAttributes[r, ReadProtected]
p10080
sg8
(lp10081
(dp10082
g11
(lp10083
sg13
Nsg15
I18
sass(g1696
g9732
g9968
I18
tp10084
(dp10085
g6
VDefinition[r]
p10086
sg8
(lp10087
(dp10088
g11
(lp10089
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[r\u005cright]=\u005cleft\u005c{\u005ctext{Orderless},\u005ctext{ReadProtected}\u005cright\u005c}\u005c\u005c \u005ctext{Default}\u005cleft[r,1\u005cright]=2\u005c\u005c \u005ctext{Options}\u005cleft[r\u005cright]=\u005cleft\u005c{\u005ctext{Opt}->3\u005cright\u005c}\u005cend{array}
p10090
sg15
I19
sass(g1696
g9732
g9968
I19
tp10091
(dp10092
g6
VDefinition[Plus]
p10093
sg8
(lp10094
(dp10095
g11
(lp10096
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[\u005ctext{Plus}\u005cright]=\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Listable},\u005ctext{NumericFunction},\u005ctext{OneIdentity},\u005ctext{Orderless},\u005ctext{Protected}\u005cright\u005c}\u005c\u005c \u005ctext{Default}\u005cleft[\u005ctext{Plus}\u005cright]=0\u005cend{array}
p10097
sg15
I20
sass(g1696
g9732
g9968
I20
tp10098
(dp10099
g6
VDefinition[Level]
p10100
sg8
(lp10101
(dp10102
g11
(lp10103
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[\u005ctext{Level}\u005cright]=\u005cleft\u005c{\u005ctext{Protected}\u005cright\u005c}\u005c\u005c \u005ctext{Options}\u005cleft[\u005ctext{Level}\u005cright]=\u005cleft\u005c{\u005ctext{Heads}->\u005ctext{False}\u005cright\u005c}\u005cend{array}
p10104
sg15
I21
sass(g1696
g9732
g9968
I21
tp10105
(dp10106
g6
VClearAttributes[r, ReadProtected]
p10107
sg8
(lp10108
(dp10109
g11
(lp10110
sg13
Nsg15
I22
sass(g1696
g9732
g9968
I22
tp10111
(dp10112
g6
VClear[r]
p10113
sg8
(lp10114
(dp10115
g11
(lp10116
sg13
Nsg15
I23
sass(g1696
g9732
g9968
I23
tp10117
(dp10118
g6
VDefinition[r]
p10119
sg8
(lp10120
(dp10121
g11
(lp10122
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[r\u005cright]=\u005cleft\u005c{\u005ctext{Orderless}\u005cright\u005c}\u005c\u005c \u005ctext{Default}\u005cleft[r,1\u005cright]=2\u005c\u005c \u005ctext{Options}\u005cleft[r\u005cright]=\u005cleft\u005c{\u005ctext{Opt}->3\u005cright\u005c}\u005cend{array}
p10123
sg15
I24
sass(g1696
g9732
g9968
I24
tp10124
(dp10125
g6
VClearAll[r]
p10126
sg8
(lp10127
(dp10128
g11
(lp10129
sg13
Nsg15
I25
sass(g1696
g9732
g9968
I25
tp10130
(dp10131
g6
VDefinition[r]
p10132
sg8
(lp10133
(dp10134
g11
(lp10135
sg13
V\u005ctext{Null}
p10136
sg15
I26
sass(g1696
g9732
g9968
I26
tp10137
(dp10138
g6
VDefinition[x]
p10139
sg8
(lp10140
(dp10141
g11
(lp10142
sg13
V\u005ctext{Null}
p10143
sg15
I27
sass(g1696
g9732
VDivideBy
p10144
I0
tp10145
(dp10146
g6
Va = 10;
p10147
sg8
(lp10148
(dp10149
g11
(lp10150
sg13
Nsg15
I1
sass(g1696
g9732
g10144
I1
tp10151
(dp10152
g6
Va /= 2
p10153
sg8
(lp10154
(dp10155
g11
(lp10156
sg13
V5
p10157
sg15
I2
sass(g1696
g9732
g10144
I2
tp10158
(dp10159
g6
g542
sg8
(lp10160
(dp10161
g11
(lp10162
sg13
V5
p10163
sg15
I3
sass(g1696
g9732
VDownValues
p10164
I0
tp10165
(dp10166
g6
Vf[x_] := x ^ 2
p10167
sg8
(lp10168
(dp10169
g11
(lp10170
sg13
Nsg15
I1
sass(g1696
g9732
g10164
I1
tp10171
(dp10172
g6
VDownValues[f]
p10173
sg8
(lp10174
(dp10175
g11
(lp10176
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[\u005ctext{x\u005c_}\u005cright]\u005cright]\u005ctext{:>}x^2\u005cright\u005c}
p10177
sg15
I2
sass(g1696
g9732
g10164
I2
tp10178
(dp10179
g6
Vf[x_Integer] := 2
p10180
sg8
(lp10181
(dp10182
g11
(lp10183
sg13
Nsg15
I3
sass(g1696
g9732
g10164
I3
tp10184
(dp10185
g6
Vf[x_Real] := 3
p10186
sg8
(lp10187
(dp10188
g11
(lp10189
sg13
Nsg15
I4
sass(g1696
g9732
g10164
I4
tp10190
(dp10191
g6
VDownValues[f]
p10192
sg8
(lp10193
(dp10194
g11
(lp10195
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[\u005ctext{x\u005c_Real}\u005cright]\u005cright]\u005ctext{:>}3,\u005ctext{HoldPattern}\u005cleft[f\u005cleft[\u005ctext{x\u005c_Integer}\u005cright]\u005cright]\u005ctext{:>}2,\u005ctext{HoldPattern}\u005cleft[f\u005cleft[\u005ctext{x\u005c_}\u005cright]\u005cright]\u005ctext{:>}x^2\u005cright\u005c}
p10196
sg15
I5
sass(g1696
g9732
g10164
I5
tp10197
(dp10198
g6
Vf[3]
p10199
sg8
(lp10200
(dp10201
g11
(lp10202
sg13
V2
p10203
sg15
I6
sass(g1696
g9732
g10164
I6
tp10204
(dp10205
g6
Vf[3.]
p10206
sg8
(lp10207
(dp10208
g11
(lp10209
sg13
V3
p10210
sg15
I7
sass(g1696
g9732
g10164
I7
tp10211
(dp10212
g6
Vf[a]
p10213
sg8
(lp10214
(dp10215
g11
(lp10216
sg13
Va^2
p10217
sg15
I8
sass(g1696
g9732
g10164
I8
tp10218
(dp10219
g6
VSort[{x_, x_Integer}, PatternsOrderedQ]
p10220
sg8
(lp10221
(dp10222
g11
(lp10223
sg13
V\u005cleft\u005c{\u005ctext{x\u005c_Integer},\u005ctext{x\u005c_}\u005cright\u005c}
p10224
sg15
I9
sass(g1696
g9732
g10164
I9
tp10225
(dp10226
g6
VDownValues[g] := {g[x_] :> x ^ 2, g[x_Integer] :> x}
p10227
sg8
(lp10228
(dp10229
g11
(lp10230
sg13
Nsg15
I10
sass(g1696
g9732
g10164
I10
tp10231
(dp10232
g6
Vg[2]
p10233
sg8
(lp10234
(dp10235
g11
(lp10236
sg13
V4
p10237
sg15
I11
sass(g1696
g9732
g10164
I11
tp10238
(dp10239
g6
VDownValues[fib] := {fib[0] -> 0, fib[1] -> 1, fib[n_] :> fib[n - 1] + fib[n - 2]}
p10240
sg8
(lp10241
(dp10242
g11
(lp10243
sg13
Nsg15
I12
sass(g1696
g9732
g10164
I12
tp10244
(dp10245
g6
Vfib[5]
p10246
sg8
(lp10247
(dp10248
g11
(lp10249
sg13
V5
p10250
sg15
I13
sass(g1696
g9732
VIncrement
p10251
I0
tp10252
(dp10253
g6
Va = 2;
p10254
sg8
(lp10255
(dp10256
g11
(lp10257
sg13
Nsg15
I1
sass(g1696
g9732
g10251
I1
tp10258
(dp10259
g6
Va++
p10260
sg8
(lp10261
(dp10262
g11
(lp10263
sg13
V2
p10264
sg15
I2
sass(g1696
g9732
g10251
I2
tp10265
(dp10266
g6
g542
sg8
(lp10267
(dp10268
g11
(lp10269
sg13
V3
p10270
sg15
I3
sass(g1696
g9732
g10251
I3
tp10271
(dp10272
g6
V++++a+++++2//Hold//FullForm
p10273
sg8
(lp10274
(dp10275
g11
(lp10276
sg13
V\u005ctext{Hold}\u005cleft[\u005ctext{Plus}\u005cleft[\u005ctext{PreIncrement}\u005cleft[\u005ctext{PreIncrement}\u005cleft[\u005ctext{Increment}\u005cleft[\u005ctext{Increment}\u005cleft[a\u005cright]\u005cright]\u005cright]\u005cright], 2\u005cright]\u005cright]
p10277
sg15
I4
sass(g1696
g9732
VLoadModule
p10278
I0
tp10279
(dp10280
g6
VLoadModule["nomodule"]
p10281
sg8
(lp10282
(dp10283
g11
(lp10284
(dp10285
g149
I01
sg150
VLoadModule
p10286
sg152
Vnotfound
p10287
sg154
VLoadModule::notfound
p10288
sg156
VPython module nomodule does not exist.
p10289
sasg13
V\u005ctext{\u005c$Failed}
p10290
sg15
I1
sass(g1696
g9732
g10278
I1
tp10291
(dp10292
g6
VLoadModule["sys"]
p10293
sg8
(lp10294
(dp10295
g11
(lp10296
(dp10297
g149
I01
sg150
VLoadModule
p10298
sg152
Vnotmathicslib
p10299
sg154
VLoadModule::notmathicslib
p10300
sg156
VPython module sys is not a pymathics module.
p10301
sasg13
V\u005ctext{\u005c$Failed}
p10302
sg15
I2
sass(g1696
g9732
VMessages
p10303
I0
tp10304
(dp10305
g6
Va::b = "foo"
p10306
sg8
(lp10307
(dp10308
g11
(lp10309
sg13
V\u005ctext{foo}
p10310
sg15
I1
sass(g1696
g9732
g10303
I1
tp10311
(dp10312
g6
VMessages[a]
p10313
sg8
(lp10314
(dp10315
g11
(lp10316
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005ctext{::}\u005ctext{b}\u005cright]\u005ctext{:>}\u005ctext{foo}\u005cright\u005c}
p10317
sg15
I2
sass(g1696
g9732
g10303
I2
tp10318
(dp10319
g6
VMessages[a] = {a::c :> "bar"};
p10320
sg8
(lp10321
(dp10322
g11
(lp10323
sg13
Nsg15
I3
sass(g1696
g9732
g10303
I3
tp10324
(dp10325
g6
Va::c // InputForm
p10326
sg8
(lp10327
(dp10328
g11
(lp10329
sg13
V\u005ctext{"bar"}
p10330
sg15
I4
sass(g1696
g9732
g10303
I4
tp10331
(dp10332
g6
VMessage[a::c]
p10333
sg8
(lp10334
(dp10335
g11
(lp10336
(dp10337
g149
I01
sg150
g542
sg152
g444
sg154
Va::c
p10338
sg156
Vbar
p10339
sasg13
Nsg15
I5
sass(g1696
g9732
VNValues
p10340
I0
tp10341
(dp10342
g6
VNValues[a]
p10343
sg8
(lp10344
(dp10345
g11
(lp10346
sg13
V\u005cleft\u005c{\u005cright\u005c}
p10347
sg15
I1
sass(g1696
g9732
g10340
I1
tp10348
(dp10349
g6
VN[a] = 3;
p10350
sg8
(lp10351
(dp10352
g11
(lp10353
sg13
Nsg15
I2
sass(g1696
g9732
g10340
I2
tp10354
(dp10355
g6
VNValues[a]
p10356
sg8
(lp10357
(dp10358
g11
(lp10359
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[N\u005cleft[a,\u005ctext{MachinePrecision}\u005cright]\u005cright]\u005ctext{:>}3\u005cright\u005c}
p10360
sg15
I3
sass(g1696
g9732
g10340
I3
tp10361
(dp10362
g6
VNValues[b] := {N[b, MachinePrecision] :> 2}
p10363
sg8
(lp10364
(dp10365
g11
(lp10366
sg13
Nsg15
I4
sass(g1696
g9732
g10340
I4
tp10367
(dp10368
g6
VN[b]
p10369
sg8
(lp10370
(dp10371
g11
(lp10372
sg13
V2.
p10373
sg15
I5
sass(g1696
g9732
g10340
I5
tp10374
(dp10375
g6
VNValues[c] := {N[c] :> 3}
p10376
sg8
(lp10377
(dp10378
g11
(lp10379
sg13
Nsg15
I6
sass(g1696
g9732
g10340
I6
tp10380
(dp10381
g6
VN[c]
p10382
sg8
(lp10383
(dp10384
g11
(lp10385
sg13
g444
sg15
I7
sass(g1696
g9732
g10340
I7
tp10386
(dp10387
g6
VNValues[d] = {foo -> bar};
p10388
sg8
(lp10389
(dp10390
g11
(lp10391
sg13
Nsg15
I8
sass(g1696
g9732
g10340
I8
tp10392
(dp10393
g6
VNValues[d]
p10394
sg8
(lp10395
(dp10396
g11
(lp10397
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{foo}\u005cright]\u005ctext{:>}\u005ctext{bar}\u005cright\u005c}
p10398
sg15
I9
sass(g1696
g9732
g10340
I9
tp10399
(dp10400
g6
VN[d]
p10401
sg8
(lp10402
(dp10403
g11
(lp10404
sg13
g519
sg15
I10
sass(g1696
g9732
VOwnValues
p10405
I0
tp10406
(dp10407
g6
Vx = 3;
p10408
sg8
(lp10409
(dp10410
g11
(lp10411
sg13
Nsg15
I1
sass(g1696
g9732
g10405
I1
tp10412
(dp10413
g6
Vx = 2;
p10414
sg8
(lp10415
(dp10416
g11
(lp10417
sg13
Nsg15
I2
sass(g1696
g9732
g10405
I2
tp10418
(dp10419
g6
VOwnValues[x]
p10420
sg8
(lp10421
(dp10422
g11
(lp10423
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}2\u005cright\u005c}
p10424
sg15
I3
sass(g1696
g9732
g10405
I3
tp10425
(dp10426
g6
Vx := y
p10427
sg8
(lp10428
(dp10429
g11
(lp10430
sg13
Nsg15
I4
sass(g1696
g9732
g10405
I4
tp10431
(dp10432
g6
VOwnValues[x]
p10433
sg8
(lp10434
(dp10435
g11
(lp10436
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}y\u005cright\u005c}
p10437
sg15
I5
sass(g1696
g9732
g10405
I5
tp10438
(dp10439
g6
Vy = 5;
p10440
sg8
(lp10441
(dp10442
g11
(lp10443
sg13
Nsg15
I6
sass(g1696
g9732
g10405
I6
tp10444
(dp10445
g6
VOwnValues[x]
p10446
sg8
(lp10447
(dp10448
g11
(lp10449
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}y\u005cright\u005c}
p10450
sg15
I7
sass(g1696
g9732
g10405
I7
tp10451
(dp10452
g6
VHold[x] /. OwnValues[x]
p10453
sg8
(lp10454
(dp10455
g11
(lp10456
sg13
V\u005ctext{Hold}\u005cleft[y\u005cright]
p10457
sg15
I8
sass(g1696
g9732
g10405
I8
tp10458
(dp10459
g6
VHold[x] /. OwnValues[x] // ReleaseHold
p10460
sg8
(lp10461
(dp10462
g11
(lp10463
sg13
V5
p10464
sg15
I9
sass(g1696
g9732
VPreDecrement
p10465
I0
tp10466
(dp10467
g6
Va = 2;
p10468
sg8
(lp10469
(dp10470
g11
(lp10471
sg13
Nsg15
I1
sass(g1696
g9732
g10465
I1
tp10472
(dp10473
g6
V--a
p10474
sg8
(lp10475
(dp10476
g11
(lp10477
sg13
V1
p10478
sg15
I2
sass(g1696
g9732
g10465
I2
tp10479
(dp10480
g6
g542
sg8
(lp10481
(dp10482
g11
(lp10483
sg13
V1
p10484
sg15
I3
sass(g1696
g9732
VPreIncrement
p10485
I0
tp10486
(dp10487
g6
Va = 2;
p10488
sg8
(lp10489
(dp10490
g11
(lp10491
sg13
Nsg15
I1
sass(g1696
g9732
g10485
I1
tp10492
(dp10493
g6
V++a
p10494
sg8
(lp10495
(dp10496
g11
(lp10497
sg13
V3
p10498
sg15
I2
sass(g1696
g9732
g10485
I2
tp10499
(dp10500
g6
g542
sg8
(lp10501
(dp10502
g11
(lp10503
sg13
V3
p10504
sg15
I3
sass(g1696
g9732
VSet
p10505
I0
tp10506
(dp10507
g6
Va = 3
p10508
sg8
(lp10509
(dp10510
g11
(lp10511
sg13
V3
p10512
sg15
I1
sass(g1696
g9732
g10505
I1
tp10513
(dp10514
g6
g542
sg8
(lp10515
(dp10516
g11
(lp10517
sg13
V3
p10518
sg15
I2
sass(g1696
g9732
g10505
I2
tp10519
(dp10520
g6
VOwnValues[a]
p10521
sg8
(lp10522
(dp10523
g11
(lp10524
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cright]\u005ctext{:>}3\u005cright\u005c}
p10525
sg15
I3
sass(g1696
g9732
g10505
I3
tp10526
(dp10527
g6
V{a, b, c} = {10, 2, 3}
p10528
sg8
(lp10529
(dp10530
g11
(lp10531
sg13
V\u005cleft\u005c{10,2,3\u005cright\u005c}
p10532
sg15
I4
sass(g1696
g9732
g10505
I4
tp10533
(dp10534
g6
V{a, b, {c, {d}}} = {1, 2, {{c1, c2}, {a}}}
p10535
sg8
(lp10536
(dp10537
g11
(lp10538
sg13
V\u005cleft\u005c{1,2,\u005cleft\u005c{\u005cleft\u005c{\u005ctext{c1},\u005ctext{c2}\u005cright\u005c},\u005cleft\u005c{10\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p10539
sg15
I5
sass(g1696
g9732
g10505
I5
tp10540
(dp10541
g6
g519
sg8
(lp10542
(dp10543
g11
(lp10544
sg13
V10
p10545
sg15
I6
sass(g1696
g9732
g10505
I6
tp10546
(dp10547
g6
g542
sg8
(lp10548
(dp10549
g11
(lp10550
sg13
V1
p10551
sg15
I7
sass(g1696
g9732
g10505
I7
tp10552
(dp10553
g6
Vx = a
p10554
sg8
(lp10555
(dp10556
g11
(lp10557
sg13
V1
p10558
sg15
I8
sass(g1696
g9732
g10505
I8
tp10559
(dp10560
g6
Va = 2
p10561
sg8
(lp10562
(dp10563
g11
(lp10564
sg13
V2
p10565
sg15
I9
sass(g1696
g9732
g10505
I9
tp10566
(dp10567
g6
g195
sg8
(lp10568
(dp10569
g11
(lp10570
sg13
V1
p10571
sg15
I10
sass(g1696
g9732
g10505
I10
tp10572
(dp10573
g6
Va = b = c = 2;
p10574
sg8
(lp10575
(dp10576
g11
(lp10577
sg13
Nsg15
I11
sass(g1696
g9732
g10505
I11
tp10578
(dp10579
g6
Va == b == c == 2
p10580
sg8
(lp10581
(dp10582
g11
(lp10583
sg13
V\u005ctext{True}
p10584
sg15
I12
sass(g1696
g9732
g10505
I12
tp10585
(dp10586
g6
VA = {{1, 2}, {3, 4}};
p10587
sg8
(lp10588
(dp10589
g11
(lp10590
sg13
Nsg15
I13
sass(g1696
g9732
g10505
I13
tp10591
(dp10592
g6
VA[[1, 2]] = 5
p10593
sg8
(lp10594
(dp10595
g11
(lp10596
sg13
V5
p10597
sg15
I14
sass(g1696
g9732
g10505
I14
tp10598
(dp10599
g6
g9517
sg8
(lp10600
(dp10601
g11
(lp10602
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,5\u005cright\u005c},\u005cleft\u005c{3,4\u005cright\u005c}\u005cright\u005c}
p10603
sg15
I15
sass(g1696
g9732
g10505
I15
tp10604
(dp10605
g6
VA[[;;, 2]] = {6, 7}
p10606
sg8
(lp10607
(dp10608
g11
(lp10609
sg13
V\u005cleft\u005c{6,7\u005cright\u005c}
p10610
sg15
I16
sass(g1696
g9732
g10505
I16
tp10611
(dp10612
g6
g9517
sg8
(lp10613
(dp10614
g11
(lp10615
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,6\u005cright\u005c},\u005cleft\u005c{3,7\u005cright\u005c}\u005cright\u005c}
p10616
sg15
I17
sass(g1696
g9732
g10505
I17
tp10617
(dp10618
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p10619
sg8
(lp10620
(dp10621
g11
(lp10622
sg13
Nsg15
I18
sass(g1696
g9732
g10505
I18
tp10623
(dp10624
g6
VB[[1;;2, 2;;-1]] = {{t, u}, {y, z}};
p10625
sg8
(lp10626
(dp10627
g11
(lp10628
sg13
Nsg15
I19
sass(g1696
g9732
g10505
I19
tp10629
(dp10630
g6
VB
p10631
sg8
(lp10632
(dp10633
g11
(lp10634
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,t,u\u005cright\u005c},\u005cleft\u005c{4,y,z\u005cright\u005c},\u005cleft\u005c{7,8,9\u005cright\u005c}\u005cright\u005c}
p10635
sg15
I20
sass(g1696
g9732
VSetDelayed
p10636
I0
tp10637
(dp10638
g6
VAttributes[SetDelayed]
p10639
sg8
(lp10640
(dp10641
g11
(lp10642
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p10643
sg15
I1
sass(g1696
g9732
g10636
I1
tp10644
(dp10645
g6
Va = 1
p10646
sg8
(lp10647
(dp10648
g11
(lp10649
sg13
V1
p10650
sg15
I2
sass(g1696
g9732
g10636
I2
tp10651
(dp10652
g6
Vx := a
p10653
sg8
(lp10654
(dp10655
g11
(lp10656
sg13
Nsg15
I3
sass(g1696
g9732
g10636
I3
tp10657
(dp10658
g6
g195
sg8
(lp10659
(dp10660
g11
(lp10661
sg13
V1
p10662
sg15
I4
sass(g1696
g9732
g10636
I4
tp10663
(dp10664
g6
Va = 2
p10665
sg8
(lp10666
(dp10667
g11
(lp10668
sg13
V2
p10669
sg15
I5
sass(g1696
g9732
g10636
I5
tp10670
(dp10671
g6
g195
sg8
(lp10672
(dp10673
g11
(lp10674
sg13
V2
p10675
sg15
I6
sass(g1696
g9732
g10636
I6
tp10676
(dp10677
g6
Vf[x_] := p[x] /; x>0
p10678
sg8
(lp10679
(dp10680
g11
(lp10681
sg13
Nsg15
I7
sass(g1696
g9732
g10636
I7
tp10682
(dp10683
g6
Vf[3]
p10684
sg8
(lp10685
(dp10686
g11
(lp10687
sg13
Vp\u005cleft[3\u005cright]
p10688
sg15
I8
sass(g1696
g9732
g10636
I8
tp10689
(dp10690
g6
Vf[-3]
p10691
sg8
(lp10692
(dp10693
g11
(lp10694
sg13
Vf\u005cleft[-3\u005cright]
p10695
sg15
I9
sass(g1696
g9732
VSubValues
p10696
I0
tp10697
(dp10698
g6
Vf[1][x_] := x
p10699
sg8
(lp10700
(dp10701
g11
(lp10702
sg13
Nsg15
I1
sass(g1696
g9732
g10696
I1
tp10703
(dp10704
g6
Vf[2][x_] := x ^ 2
p10705
sg8
(lp10706
(dp10707
g11
(lp10708
sg13
Nsg15
I2
sass(g1696
g9732
g10696
I2
tp10709
(dp10710
g6
VSubValues[f]
p10711
sg8
(lp10712
(dp10713
g11
(lp10714
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[2\u005cright]\u005cleft[\u005ctext{x\u005c_}\u005cright]\u005cright]\u005ctext{:>}x^2,\u005ctext{HoldPattern}\u005cleft[f\u005cleft[1\u005cright]\u005cleft[\u005ctext{x\u005c_}\u005cright]\u005cright]\u005ctext{:>}x\u005cright\u005c}
p10715
sg15
I3
sass(g1696
g9732
g10696
I3
tp10716
(dp10717
g6
VDefinition[f]
p10718
sg8
(lp10719
(dp10720
g11
(lp10721
sg13
V\u005cbegin{array}{l} f\u005cleft[2\u005cright]\u005cleft[\u005ctext{x\u005c_}\u005cright]=x^2\u005c\u005c f\u005cleft[1\u005cright]\u005cleft[\u005ctext{x\u005c_}\u005cright]=x\u005cend{array}
p10722
sg15
I4
sass(g1696
g9732
VSubtractFrom
p10723
I0
tp10724
(dp10725
g6
Va = 10;
p10726
sg8
(lp10727
(dp10728
g11
(lp10729
sg13
Nsg15
I1
sass(g1696
g9732
g10723
I1
tp10730
(dp10731
g6
Va -= 2
p10732
sg8
(lp10733
(dp10734
g11
(lp10735
sg13
V8
p10736
sg15
I2
sass(g1696
g9732
g10723
I2
tp10737
(dp10738
g6
g542
sg8
(lp10739
(dp10740
g11
(lp10741
sg13
V8
p10742
sg15
I3
sass(g1696
g9732
VTagSet
p10743
I0
tp10744
(dp10745
g6
Vx /: f[x] = 2
p10746
sg8
(lp10747
(dp10748
g11
(lp10749
sg13
V2
p10750
sg15
I1
sass(g1696
g9732
g10743
I1
tp10751
(dp10752
g6
Vf[x]
p10753
sg8
(lp10754
(dp10755
g11
(lp10756
sg13
V2
p10757
sg15
I2
sass(g1696
g9732
g10743
I2
tp10758
(dp10759
g6
VDownValues[f]
p10760
sg8
(lp10761
(dp10762
g11
(lp10763
sg13
V\u005cleft\u005c{\u005cright\u005c}
p10764
sg15
I3
sass(g1696
g9732
g10743
I3
tp10765
(dp10766
g6
VUpValues[x]
p10767
sg8
(lp10768
(dp10769
g11
(lp10770
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005ctext{:>}2\u005cright\u005c}
p10771
sg15
I4
sass(g1696
g9732
g10743
I4
tp10772
(dp10773
g6
Vx /: f[g[x]] = 3;
p10774
sg8
(lp10775
(dp10776
g11
(lp10777
(dp10778
g149
I01
sg150
VTagSet
p10779
sg152
g3130
sg154
VTagSet::tagnfd
p10780
sg156
VTag x not found or too deep for an assigned rule.
p10781
sasg13
Nsg15
I5
sass(g1696
g9732
g10743
I5
tp10782
(dp10783
g6
Vg /: f[g[x]] = 3;
p10784
sg8
(lp10785
(dp10786
g11
(lp10787
sg13
Nsg15
I6
sass(g1696
g9732
g10743
I6
tp10788
(dp10789
g6
Vf[g[x]]
p10790
sg8
(lp10791
(dp10792
g11
(lp10793
sg13
V3
p10794
sg15
I7
sass(g1696
g9732
VTimesBy
p10795
I0
tp10796
(dp10797
g6
Va = 10;
p10798
sg8
(lp10799
(dp10800
g11
(lp10801
sg13
Nsg15
I1
sass(g1696
g9732
g10795
I1
tp10802
(dp10803
g6
Va *= 2
p10804
sg8
(lp10805
(dp10806
g11
(lp10807
sg13
V20
p10808
sg15
I2
sass(g1696
g9732
g10795
I2
tp10809
(dp10810
g6
g542
sg8
(lp10811
(dp10812
g11
(lp10813
sg13
V20
p10814
sg15
I3
sass(g1696
g9732
VUnset
p10815
I0
tp10816
(dp10817
g6
Va = 2
p10818
sg8
(lp10819
(dp10820
g11
(lp10821
sg13
V2
p10822
sg15
I1
sass(g1696
g9732
g10815
I1
tp10823
(dp10824
g6
Va =.
p10825
sg8
(lp10826
(dp10827
g11
(lp10828
sg13
Nsg15
I2
sass(g1696
g9732
g10815
I2
tp10829
(dp10830
g6
g542
sg8
(lp10831
(dp10832
g11
(lp10833
sg13
g542
sg15
I3
sass(g1696
g9732
g10815
I3
tp10834
(dp10835
g6
Va =.
p10836
sg8
(lp10837
(dp10838
g11
(lp10839
sg13
Nsg15
I4
sass(g1696
g9732
g10815
I4
tp10840
(dp10841
g6
Vb =.
p10842
sg8
(lp10843
(dp10844
g11
(lp10845
sg13
Nsg15
I5
sass(g1696
g9732
g10815
I5
tp10846
(dp10847
g6
Vf[x_] =.
p10848
sg8
(lp10849
(dp10850
g11
(lp10851
(dp10852
g149
I01
sg150
VUnset
p10853
sg152
Vnorep
p10854
sg154
VUnset::norep
p10855
sg156
VAssignment on f for f[x_] not found.
p10856
sasg13
V\u005ctext{\u005c$Failed}
p10857
sg15
I6
sass(g1696
g9732
g10815
I6
tp10858
(dp10859
g6
Vf[x_] := x ^ 2
p10860
sg8
(lp10861
(dp10862
g11
(lp10863
sg13
Nsg15
I7
sass(g1696
g9732
g10815
I7
tp10864
(dp10865
g6
Vf[3]
p10866
sg8
(lp10867
(dp10868
g11
(lp10869
sg13
V9
p10870
sg15
I8
sass(g1696
g9732
g10815
I8
tp10871
(dp10872
g6
Vf[x_] =.
p10873
sg8
(lp10874
(dp10875
g11
(lp10876
sg13
Nsg15
I9
sass(g1696
g9732
g10815
I9
tp10877
(dp10878
g6
Vf[3]
p10879
sg8
(lp10880
(dp10881
g11
(lp10882
sg13
Vf\u005cleft[3\u005cright]
p10883
sg15
I10
sass(g1696
g9732
g10815
I10
tp10884
(dp10885
g6
Vf[x_] = x; f[0] = 1;
p10886
sg8
(lp10887
(dp10888
g11
(lp10889
sg13
Nsg15
I11
sass(g1696
g9732
g10815
I11
tp10890
(dp10891
g6
VDownValues[f] =.
p10892
sg8
(lp10893
(dp10894
g11
(lp10895
sg13
Nsg15
I12
sass(g1696
g9732
g10815
I12
tp10896
(dp10897
g6
Vf[2]
p10898
sg8
(lp10899
(dp10900
g11
(lp10901
sg13
Vf\u005cleft[2\u005cright]
p10902
sg15
I13
sass(g1696
g9732
g10815
I13
tp10903
(dp10904
g6
Va = b = 3;
p10905
sg8
(lp10906
(dp10907
g11
(lp10908
sg13
Nsg15
I14
sass(g1696
g9732
g10815
I14
tp10909
(dp10910
g6
V{a, {b}} =.
p10911
sg8
(lp10912
(dp10913
g11
(lp10914
sg13
V\u005cleft\u005c{\u005ctext{Null},\u005cleft\u005c{\u005ctext{Null}\u005cright\u005c}\u005cright\u005c}
p10915
sg15
I15
sass(g1696
g9732
VUpSet
p10916
I0
tp10917
(dp10918
g6
Va[b] ^= 3;
p10919
sg8
(lp10920
(dp10921
g11
(lp10922
sg13
Nsg15
I1
sass(g1696
g9732
g10916
I1
tp10923
(dp10924
g6
VDownValues[a]
p10925
sg8
(lp10926
(dp10927
g11
(lp10928
sg13
V\u005cleft\u005c{\u005cright\u005c}
p10929
sg15
I2
sass(g1696
g9732
g10916
I2
tp10930
(dp10931
g6
VUpValues[b]
p10932
sg8
(lp10933
(dp10934
g11
(lp10935
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cleft[b\u005cright]\u005cright]\u005ctext{:>}3\u005cright\u005c}
p10936
sg15
I3
sass(g1696
g9732
g10916
I3
tp10937
(dp10938
g6
Va ^= 3
p10939
sg8
(lp10940
(dp10941
g11
(lp10942
(dp10943
g149
I01
sg150
VUpSet
p10944
sg152
Vnormal
p10945
sg154
VUpSet::normal
p10946
sg156
VNonatomic expression expected.
p10947
sasg13
V3
p10948
sg15
I4
sass(g1696
g9732
g10916
I4
tp10949
(dp10950
g6
VFormat[r] ^= "custom";
p10951
sg8
(lp10952
(dp10953
g11
(lp10954
sg13
Nsg15
I5
sass(g1696
g9732
g10916
I5
tp10955
(dp10956
g6
Vr
p10957
sg8
(lp10958
(dp10959
g11
(lp10960
sg13
V\u005ctext{custom}
p10961
sg15
I6
sass(g1696
g9732
g10916
I6
tp10962
(dp10963
g6
VUpValues[r]
p10964
sg8
(lp10965
(dp10966
g11
(lp10967
sg13
V\u005cleft\u005c{\u005cright\u005c}
p10968
sg15
I7
sass(g1696
g9732
VUpSetDelayed
p10969
I0
tp10970
(dp10971
g6
Va[b] ^:= x
p10972
sg8
(lp10973
(dp10974
g11
(lp10975
sg13
Nsg15
I1
sass(g1696
g9732
g10969
I1
tp10976
(dp10977
g6
Vx = 2;
p10978
sg8
(lp10979
(dp10980
g11
(lp10981
sg13
Nsg15
I2
sass(g1696
g9732
g10969
I2
tp10982
(dp10983
g6
Va[b]
p10984
sg8
(lp10985
(dp10986
g11
(lp10987
sg13
V2
p10988
sg15
I3
sass(g1696
g9732
g10969
I3
tp10989
(dp10990
g6
VUpValues[b]
p10991
sg8
(lp10992
(dp10993
g11
(lp10994
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cleft[b\u005cright]\u005cright]\u005ctext{:>}x\u005cright\u005c}
p10995
sg15
I4
sass(g1696
g9732
VUpValues
p10996
I0
tp10997
(dp10998
g6
Va + b ^= 2
p10999
sg8
(lp11000
(dp11001
g11
(lp11002
sg13
V2
p11003
sg15
I1
sass(g1696
g9732
g10996
I1
tp11004
(dp11005
g6
VUpValues[a]
p11006
sg8
(lp11007
(dp11008
g11
(lp11009
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a+b\u005cright]\u005ctext{:>}2\u005cright\u005c}
p11010
sg15
I2
sass(g1696
g9732
g10996
I2
tp11011
(dp11012
g6
VUpValues[b]
p11013
sg8
(lp11014
(dp11015
g11
(lp11016
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a+b\u005cright]\u005ctext{:>}2\u005cright\u005c}
p11017
sg15
I3
sass(g1696
g9732
g10996
I3
tp11018
(dp11019
g6
VUpValues[pi] := {Sin[pi] :> 0}
p11020
sg8
(lp11021
(dp11022
g11
(lp11023
sg13
Nsg15
I4
sass(g1696
g9732
g10996
I4
tp11024
(dp11025
g6
VSin[pi]
p11026
sg8
(lp11027
(dp11028
g11
(lp11029
sg13
V0
p11030
sg15
I5
sass(g1696
VTensors
p11031
VArrayDepth
p11032
I0
tp11033
(dp11034
g6
VArrayDepth[{{a,b},{c,d}}]
p11035
sg8
(lp11036
(dp11037
g11
(lp11038
sg13
V2
p11039
sg15
I1
sass(g1696
g11031
g11032
I1
tp11040
(dp11041
g6
VArrayDepth[x]
p11042
sg8
(lp11043
(dp11044
g11
(lp11045
sg13
V0
p11046
sg15
I2
sass(g1696
g11031
VArrayQ
p11047
I0
tp11048
(dp11049
g6
VArrayQ[a]
p11050
sg8
(lp11051
(dp11052
g11
(lp11053
sg13
V\u005ctext{False}
p11054
sg15
I1
sass(g1696
g11031
g11047
I1
tp11055
(dp11056
g6
VArrayQ[{a}]
p11057
sg8
(lp11058
(dp11059
g11
(lp11060
sg13
V\u005ctext{True}
p11061
sg15
I2
sass(g1696
g11031
g11047
I2
tp11062
(dp11063
g6
VArrayQ[{{{a}},{{b,c}}}]
p11064
sg8
(lp11065
(dp11066
g11
(lp11067
sg13
V\u005ctext{False}
p11068
sg15
I3
sass(g1696
g11031
g11047
I3
tp11069
(dp11070
g6
VArrayQ[{{a, b}, {c, d}}, 2, SymbolQ]
p11071
sg8
(lp11072
(dp11073
g11
(lp11074
sg13
V\u005ctext{True}
p11075
sg15
I4
sass(g1696
g11031
VDiagonalMatrix
p11076
I0
tp11077
(dp11078
g6
VDiagonalMatrix[{1, 2, 3}]
p11079
sg8
(lp11080
(dp11081
g11
(lp11082
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,0,0\u005cright\u005c},\u005cleft\u005c{0,2,0\u005cright\u005c},\u005cleft\u005c{0,0,3\u005cright\u005c}\u005cright\u005c}
p11083
sg15
I1
sass(g1696
g11031
g11076
I1
tp11084
(dp11085
g6
VMatrixForm[%]
p11086
sg8
(lp11087
(dp11088
g11
(lp11089
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 0 & 0\u005c\u005c 0 & 2 & 0\u005c\u005c 0 & 0 & 3\u005cend{array}\u005cright)
p11090
sg15
I2
sass(g1696
g11031
VDimensions
p11091
I0
tp11092
(dp11093
g6
VDimensions[{a, b, c}]
p11094
sg8
(lp11095
(dp11096
g11
(lp11097
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p11098
sg15
I1
sass(g1696
g11031
g11091
I1
tp11099
(dp11100
g6
VDimensions[{{a, b}, {c, d}, {e, f}}]
p11101
sg8
(lp11102
(dp11103
g11
(lp11104
sg13
V\u005cleft\u005c{3,2\u005cright\u005c}
p11105
sg15
I2
sass(g1696
g11031
g11091
I2
tp11106
(dp11107
g6
VDimensions[{{a, b}, {b, c}, {c, d, e}}]
p11108
sg8
(lp11109
(dp11110
g11
(lp11111
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p11112
sg15
I3
sass(g1696
g11031
g11091
I3
tp11113
(dp11114
g6
VDimensions[f[f[a, b, c]]]
p11115
sg8
(lp11116
(dp11117
g11
(lp11118
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p11119
sg15
I4
sass(g1696
g11031
VDot
p11120
I0
tp11121
(dp11122
g6
V{a, b, c} . {x, y, z}
p11123
sg8
(lp11124
(dp11125
g11
(lp11126
sg13
Va x+b y+c z
p11127
sg15
I1
sass(g1696
g11031
g11120
I1
tp11128
(dp11129
g6
V{{a, b}, {c, d}} . {x, y}
p11130
sg8
(lp11131
(dp11132
g11
(lp11133
sg13
V\u005cleft\u005c{a x+b y,c x+d y\u005cright\u005c}
p11134
sg15
I2
sass(g1696
g11031
g11120
I2
tp11135
(dp11136
g6
V{{a, b}, {c, d}} . {{r, s}, {t, u}}
p11137
sg8
(lp11138
(dp11139
g11
(lp11140
sg13
V\u005cleft\u005c{\u005cleft\u005c{a r+b t,a s+b u\u005cright\u005c},\u005cleft\u005c{c r+d t,c s+d u\u005cright\u005c}\u005cright\u005c}
p11141
sg15
I3
sass(g1696
g11031
g11120
I3
tp11142
(dp11143
g6
Va . b
p11144
sg8
(lp11145
(dp11146
g11
(lp11147
sg13
Va.b
p11148
sg15
I4
sass(g1696
g11031
VIdentityMatrix
p11149
I0
tp11150
(dp11151
g6
VIdentityMatrix[3]
p11152
sg8
(lp11153
(dp11154
g11
(lp11155
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,0,0\u005cright\u005c},\u005cleft\u005c{0,1,0\u005cright\u005c},\u005cleft\u005c{0,0,1\u005cright\u005c}\u005cright\u005c}
p11156
sg15
I1
sass(g1696
g11031
VInner
p11157
I0
tp11158
(dp11159
g6
VInner[f, {a, b}, {x, y}, g]
p11160
sg8
(lp11161
(dp11162
g11
(lp11163
sg13
Vg\u005cleft[f\u005cleft[a,x\u005cright],f\u005cleft[b,y\u005cright]\u005cright]
p11164
sg15
I1
sass(g1696
g11031
g11157
I1
tp11165
(dp11166
g6
VInner[Times, {a, b}, {c, d}, Plus] == {a, b} . {c, d}
p11167
sg8
(lp11168
(dp11169
g11
(lp11170
sg13
V\u005ctext{True}
p11171
sg15
I2
sass(g1696
g11031
g11157
I2
tp11172
(dp11173
g6
VInner[And, {{False, False}, {False, True}}, {{True, False}, {True, True}}, Or]
p11174
sg8
(lp11175
(dp11176
g11
(lp11177
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{False},\u005ctext{False}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c}\u005cright\u005c}
p11178
sg15
I3
sass(g1696
g11031
g11157
I3
tp11179
(dp11180
g6
VInner[f, {{{a, b}}, {{c, d}}}, {{1}, {2}}, g]
p11181
sg8
(lp11182
(dp11183
g11
(lp11184
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{g\u005cleft[f\u005cleft[a,1\u005cright],f\u005cleft[b,2\u005cright]\u005cright]\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{g\u005cleft[f\u005cleft[c,1\u005cright],f\u005cleft[d,2\u005cright]\u005cright]\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11185
sg15
I4
sass(g1696
g11031
VMatrixQ
p11186
I0
tp11187
(dp11188
g6
VMatrixQ[{{1, 3}, {4.0, 3/2}}, NumberQ]
p11189
sg8
(lp11190
(dp11191
g11
(lp11192
sg13
V\u005ctext{True}
p11193
sg15
I1
sass(g1696
g11031
VOuter
p11194
I0
tp11195
(dp11196
g6
VOuter[f, {a, b}, {1, 2, 3}]
p11197
sg8
(lp11198
(dp11199
g11
(lp11200
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[a,1\u005cright],f\u005cleft[a,2\u005cright],f\u005cleft[a,3\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[b,1\u005cright],f\u005cleft[b,2\u005cright],f\u005cleft[b,3\u005cright]\u005cright\u005c}\u005cright\u005c}
p11201
sg15
I1
sass(g1696
g11031
g11194
I1
tp11202
(dp11203
g6
VOuter[Times, {{a, b}, {c, d}}, {{1, 2}, {3, 4}}]
p11204
sg8
(lp11205
(dp11206
g11
(lp11207
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a,2 a\u005cright\u005c},\u005cleft\u005c{3 a,4 a\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{b,2 b\u005cright\u005c},\u005cleft\u005c{3 b,4 b\u005cright\u005c}\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{c,2 c\u005cright\u005c},\u005cleft\u005c{3 c,4 c\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{d,2 d\u005cright\u005c},\u005cleft\u005c{3 d,4 d\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11208
sg15
I2
sass(g1696
g11031
g11194
I2
tp11209
(dp11210
g6
VOuter[f, {a, b}, {x, y, z}, {1, 2}]
p11211
sg8
(lp11212
(dp11213
g11
(lp11214
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[a,x,1\u005cright],f\u005cleft[a,x,2\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[a,y,1\u005cright],f\u005cleft[a,y,2\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[a,z,1\u005cright],f\u005cleft[a,z,2\u005cright]\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[b,x,1\u005cright],f\u005cleft[b,x,2\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[b,y,1\u005cright],f\u005cleft[b,y,2\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[b,z,1\u005cright],f\u005cleft[b,z,2\u005cright]\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11215
sg15
I3
sass(g1696
g11031
g11194
I3
tp11216
(dp11217
g6
VOuter[Times, {{1, 2}}, {{a, b}, {c, d, e}}]
p11218
sg8
(lp11219
(dp11220
g11
(lp11221
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c,d,e\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2 a,2 b\u005cright\u005c},\u005cleft\u005c{2 c,2 d,2 e\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11222
sg15
I4
sass(g1696
g11031
g11194
I4
tp11223
(dp11224
g6
VOuter[StringJoin, {"", "re", "un"}, {"cover", "draw", "wind"}, {"", "ing", "s"}] // InputForm
p11225
sg8
(lp11226
(dp11227
g11
(lp11228
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005ctext{"cover"}, \u005ctext{"covering"}, \u005ctext{"covers"}\u005cright\u005c}, \u005cleft\u005c{\u005ctext{"draw"}, \u005ctext{"drawing"}, \u005ctext{"draws"}\u005cright\u005c}, \u005cleft\u005c{\u005ctext{"wind"}, \u005ctext{"winding"}, \u005ctext{"winds"}\u005cright\u005c}\u005cright\u005c}, \u005cleft\u005c{\u005cleft\u005c{\u005ctext{"recover"}, \u005ctext{"recovering"}, \u005ctext{"recovers"}\u005cright\u005c}, \u005cleft\u005c{\u005ctext{"redraw"}, \u005ctext{"redrawing"}, \u005ctext{"redraws"}\u005cright\u005c}, \u005cleft\u005c{\u005ctext{"rewind"}, \u005ctext{"rewinding"}, \u005ctext{"rewinds"}\u005cright\u005c}\u005cright\u005c}, \u005cleft\u005c{\u005cleft\u005c{\u005ctext{"uncover"}, \u005ctext{"uncovering"}, \u005ctext{"uncovers"}\u005cright\u005c}, \u005cleft\u005c{\u005ctext{"undraw"}, \u005ctext{"undrawing"}, \u005ctext{"undraws"}\u005cright\u005c}, \u005cleft\u005c{\u005ctext{"unwind"}, \u005ctext{"unwinding"}, \u005ctext{"unwinds"}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11229
sg15
I5
sass(g1696
g11031
g11194
I5
tp11230
(dp11231
g6
Vtrigs = Outer[Composition, {Sin, Cos, Tan}, {ArcSin, ArcCos, ArcTan}]
p11232
sg8
(lp11233
(dp11234
g11
(lp11235
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{Composition}\u005cleft[\u005ctext{Sin},\u005ctext{ArcSin}\u005cright],\u005ctext{Composition}\u005cleft[\u005ctext{Sin},\u005ctext{ArcCos}\u005cright],\u005ctext{Composition}\u005cleft[\u005ctext{Sin},\u005ctext{ArcTan}\u005cright]\u005cright\u005c},\u005cleft\u005c{\u005ctext{Composition}\u005cleft[\u005ctext{Cos},\u005ctext{ArcSin}\u005cright],\u005ctext{Composition}\u005cleft[\u005ctext{Cos},\u005ctext{ArcCos}\u005cright],\u005ctext{Composition}\u005cleft[\u005ctext{Cos},\u005ctext{ArcTan}\u005cright]\u005cright\u005c},\u005cleft\u005c{\u005ctext{Composition}\u005cleft[\u005ctext{Tan},\u005ctext{ArcSin}\u005cright],\u005ctext{Composition}\u005cleft[\u005ctext{Tan},\u005ctext{ArcCos}\u005cright],\u005ctext{Composition}\u005cleft[\u005ctext{Tan},\u005ctext{ArcTan}\u005cright]\u005cright\u005c}\u005cright\u005c}
p11236
sg15
I6
sass(g1696
g11031
g11194
I6
tp11237
(dp11238
g6
VMap[#[0] &, trigs, {2}]
p11239
sg8
(lp11240
(dp11241
g11
(lp11242
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,1,0\u005cright\u005c},\u005cleft\u005c{1,0,1\u005cright\u005c},\u005cleft\u005c{0,\u005ctext{ComplexInfinity},0\u005cright\u005c}\u005cright\u005c}
p11243
sg15
I7
sass(g1696
g11031
VTranspose
p11244
I0
tp11245
(dp11246
g6
VTranspose[{{1, 2, 3}, {4, 5, 6}}]
p11247
sg8
(lp11248
(dp11249
g11
(lp11250
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,4\u005cright\u005c},\u005cleft\u005c{2,5\u005cright\u005c},\u005cleft\u005c{3,6\u005cright\u005c}\u005cright\u005c}
p11251
sg15
I1
sass(g1696
g11031
g11244
I1
tp11252
(dp11253
g6
VMatrixForm[%]
p11254
sg8
(lp11255
(dp11256
g11
(lp11257
sg13
V\u005cleft(\u005cbegin{array}{cc} 1 & 4\u005c\u005c 2 & 5\u005c\u005c 3 & 6\u005cend{array}\u005cright)
p11258
sg15
I2
sass(g1696
g11031
VVectorQ
p11259
I0
tp11260
(dp11261
g6
VVectorQ[{a, b, c}]
p11262
sg8
(lp11263
(dp11264
g11
(lp11265
sg13
V\u005ctext{True}
p11266
sg15
I1
sass(g1696
VStructure
p11267
VApply
p11268
I0
tp11269
(dp11270
g6
Vf @@ {1, 2, 3}
p11271
sg8
(lp11272
(dp11273
g11
(lp11274
sg13
Vf\u005cleft[1,2,3\u005cright]
p11275
sg15
I1
sass(g1696
g11267
g11268
I1
tp11276
(dp11277
g6
VPlus @@ {1, 2, 3}
p11278
sg8
(lp11279
(dp11280
g11
(lp11281
sg13
V6
p11282
sg15
I2
sass(g1696
g11267
g11268
I2
tp11283
(dp11284
g6
Vf @@ (a + b + c)
p11285
sg8
(lp11286
(dp11287
g11
(lp11288
sg13
Vf\u005cleft[a,b,c\u005cright]
p11289
sg15
I3
sass(g1696
g11267
g11268
I3
tp11290
(dp11291
g6
VApply[f, {a + b, g[c, d, e * f], 3}, {1}]
p11292
sg8
(lp11293
(dp11294
g11
(lp11295
sg13
V\u005cleft\u005c{f\u005cleft[a,b\u005cright],f\u005cleft[c,d,e f\u005cright],3\u005cright\u005c}
p11296
sg15
I4
sass(g1696
g11267
g11268
I4
tp11297
(dp11298
g6
VApply[f, {a, b, c}, {0}]
p11299
sg8
(lp11300
(dp11301
g11
(lp11302
sg13
Vf\u005cleft[a,b,c\u005cright]
p11303
sg15
I5
sass(g1696
g11267
g11268
I5
tp11304
(dp11305
g6
VApply[f, {{{{{a}}}}}, {2, -3}]
p11306
sg8
(lp11307
(dp11308
g11
(lp11309
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[f\u005cleft[\u005cleft\u005c{a\u005cright\u005c}\u005cright]\u005cright]\u005cright\u005c}\u005cright\u005c}
p11310
sg15
I6
sass(g1696
g11267
g11268
I6
tp11311
(dp11312
g6
VApply[List, a + b * c ^ e * f[g], {0, Infinity}]
p11313
sg8
(lp11314
(dp11315
g11
(lp11316
sg13
V\u005cleft\u005c{a,\u005cleft\u005c{b,\u005cleft\u005c{g\u005cright\u005c},\u005cleft\u005c{c,e\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11317
sg15
I7
sass(g1696
g11267
VApplyLevel
p11318
I0
tp11319
(dp11320
g6
Vf @@@ {{a, b}, {c, d}}
p11321
sg8
(lp11322
(dp11323
g11
(lp11324
sg13
V\u005cleft\u005c{f\u005cleft[a,b\u005cright],f\u005cleft[c,d\u005cright]\u005cright\u005c}
p11325
sg15
I1
sass(g1696
g11267
VAtomQ
p11326
I0
tp11327
(dp11328
g6
VAtomQ[x]
p11329
sg8
(lp11330
(dp11331
g11
(lp11332
sg13
V\u005ctext{True}
p11333
sg15
I1
sass(g1696
g11267
g11326
I1
tp11334
(dp11335
g6
VAtomQ[1.2]
p11336
sg8
(lp11337
(dp11338
g11
(lp11339
sg13
V\u005ctext{True}
p11340
sg15
I2
sass(g1696
g11267
g11326
I2
tp11341
(dp11342
g6
VAtomQ[2 + I]
p11343
sg8
(lp11344
(dp11345
g11
(lp11346
sg13
V\u005ctext{True}
p11347
sg15
I3
sass(g1696
g11267
g11326
I3
tp11348
(dp11349
g6
VAtomQ[2 / 3]
p11350
sg8
(lp11351
(dp11352
g11
(lp11353
sg13
V\u005ctext{True}
p11354
sg15
I4
sass(g1696
g11267
g11326
I4
tp11355
(dp11356
g6
VAtomQ[x + y]
p11357
sg8
(lp11358
(dp11359
g11
(lp11360
sg13
V\u005ctext{False}
p11361
sg15
I5
sass(g1696
g11267
VCombinatoricaOld`BinarySearch
p11362
I0
tp11363
(dp11364
g6
VCombinatoricaOld`BinarySearch[{3, 4, 10, 100, 123}, 100]
p11365
sg8
(lp11366
(dp11367
g11
(lp11368
sg13
V4
p11369
sg15
I1
sass(g1696
g11267
g11362
I1
tp11370
(dp11371
g6
VCombinatoricaOld`BinarySearch[{2, 3, 9}, 7] // N
p11372
sg8
(lp11373
(dp11374
g11
(lp11375
sg13
V2.5
p11376
sg15
I2
sass(g1696
g11267
g11362
I2
tp11377
(dp11378
g6
VCombinatoricaOld`BinarySearch[{2, 7, 9, 10}, 3] // N
p11379
sg8
(lp11380
(dp11381
g11
(lp11382
sg13
V1.5
p11383
sg15
I3
sass(g1696
g11267
g11362
I3
tp11384
(dp11385
g6
VCombinatoricaOld`BinarySearch[{-10, 5, 8, 10}, -100] // N
p11386
sg8
(lp11387
(dp11388
g11
(lp11389
sg13
V0.5
p11390
sg15
I4
sass(g1696
g11267
g11362
I4
tp11391
(dp11392
g6
VCombinatoricaOld`BinarySearch[{-10, 5, 8, 10}, 20] // N
p11393
sg8
(lp11394
(dp11395
g11
(lp11396
sg13
V4.5
p11397
sg15
I5
sass(g1696
g11267
g11362
I5
tp11398
(dp11399
g6
VCombinatoricaOld`BinarySearch[{{a, 1}, {b, 7}}, 7, #[[2]]&]
p11400
sg8
(lp11401
(dp11402
g11
(lp11403
sg13
V2
p11404
sg15
I6
sass(g1696
g11267
VDepth
p11405
I0
tp11406
(dp11407
g6
VDepth[x]
p11408
sg8
(lp11409
(dp11410
g11
(lp11411
sg13
V1
p11412
sg15
I1
sass(g1696
g11267
g11405
I1
tp11413
(dp11414
g6
VDepth[x + y]
p11415
sg8
(lp11416
(dp11417
g11
(lp11418
sg13
V2
p11419
sg15
I2
sass(g1696
g11267
g11405
I2
tp11420
(dp11421
g6
VDepth[{{{{x}}}}]
p11422
sg8
(lp11423
(dp11424
g11
(lp11425
sg13
V5
p11426
sg15
I3
sass(g1696
g11267
g11405
I3
tp11427
(dp11428
g6
VDepth[1 + 2 I]
p11429
sg8
(lp11430
(dp11431
g11
(lp11432
sg13
V1
p11433
sg15
I4
sass(g1696
g11267
g11405
I4
tp11434
(dp11435
g6
VDepth[f[a, b][c]]
p11436
sg8
(lp11437
(dp11438
g11
(lp11439
sg13
V2
p11440
sg15
I5
sass(g1696
g11267
VFlatten
p11441
I0
tp11442
(dp11443
g6
VFlatten[{{a, b}, {c, {d}, e}, {f, {g, h}}}]
p11444
sg8
(lp11445
(dp11446
g11
(lp11447
sg13
V\u005cleft\u005c{a,b,c,d,e,f,g,h\u005cright\u005c}
p11448
sg15
I1
sass(g1696
g11267
g11441
I1
tp11449
(dp11450
g6
VFlatten[{{a, b}, {c, {e}, e}, {f, {g, h}}}, 1]
p11451
sg8
(lp11452
(dp11453
g11
(lp11454
sg13
V\u005cleft\u005c{a,b,c,\u005cleft\u005c{e\u005cright\u005c},e,f,\u005cleft\u005c{g,h\u005cright\u005c}\u005cright\u005c}
p11455
sg15
I2
sass(g1696
g11267
g11441
I2
tp11456
(dp11457
g6
VFlatten[f[a, f[b, f[c, d]], e], Infinity, f]
p11458
sg8
(lp11459
(dp11460
g11
(lp11461
sg13
Vf\u005cleft[a,b,c,d,e\u005cright]
p11462
sg15
I3
sass(g1696
g11267
g11441
I3
tp11463
(dp11464
g6
VFlatten[{{a, b}, {c, d}}, {{2}, {1}}]
p11465
sg8
(lp11466
(dp11467
g11
(lp11468
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{b,d\u005cright\u005c}\u005cright\u005c}
p11469
sg15
I4
sass(g1696
g11267
g11441
I4
tp11470
(dp11471
g6
VFlatten[{{a, b}, {c, d}}, {{1, 2}}]
p11472
sg8
(lp11473
(dp11474
g11
(lp11475
sg13
V\u005cleft\u005c{a,b,c,d\u005cright\u005c}
p11476
sg15
I5
sass(g1696
g11267
g11441
I5
tp11477
(dp11478
g6
VFlatten[{{1, 2, 3}, {4}, {6, 7}, {8, 9, 10}}, {{2}, {1}}]
p11479
sg8
(lp11480
(dp11481
g11
(lp11482
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,4,6,8\u005cright\u005c},\u005cleft\u005c{2,7,9\u005cright\u005c},\u005cleft\u005c{3,10\u005cright\u005c}\u005cright\u005c}
p11483
sg15
I6
sass(g1696
g11267
VFreeQ
p11484
I0
tp11485
(dp11486
g6
VFreeQ[y, x]
p11487
sg8
(lp11488
(dp11489
g11
(lp11490
sg13
V\u005ctext{True}
p11491
sg15
I1
sass(g1696
g11267
g11484
I1
tp11492
(dp11493
g6
VFreeQ[a+b+c, a+b]
p11494
sg8
(lp11495
(dp11496
g11
(lp11497
sg13
V\u005ctext{False}
p11498
sg15
I2
sass(g1696
g11267
g11484
I2
tp11499
(dp11500
g6
VFreeQ[{1, 2, a^(a+b)}, Plus]
p11501
sg8
(lp11502
(dp11503
g11
(lp11504
sg13
V\u005ctext{False}
p11505
sg15
I3
sass(g1696
g11267
g11484
I3
tp11506
(dp11507
g6
VFreeQ[a+b, x_+y_+z_]
p11508
sg8
(lp11509
(dp11510
g11
(lp11511
sg13
V\u005ctext{True}
p11512
sg15
I4
sass(g1696
g11267
g11484
I4
tp11513
(dp11514
g6
VFreeQ[a+b+c, x_+y_+z_]
p11515
sg8
(lp11516
(dp11517
g11
(lp11518
sg13
V\u005ctext{False}
p11519
sg15
I5
sass(g1696
g11267
g11484
I5
tp11520
(dp11521
g6
VFreeQ[x_+y_+z_][a+b]
p11522
sg8
(lp11523
(dp11524
g11
(lp11525
sg13
V\u005ctext{True}
p11526
sg15
I6
sass(g1696
g11267
VHead
p11527
I0
tp11528
(dp11529
g6
VHead[a * b]
p11530
sg8
(lp11531
(dp11532
g11
(lp11533
sg13
V\u005ctext{Times}
p11534
sg15
I1
sass(g1696
g11267
g11527
I1
tp11535
(dp11536
g6
VHead[6]
p11537
sg8
(lp11538
(dp11539
g11
(lp11540
sg13
V\u005ctext{Integer}
p11541
sg15
I2
sass(g1696
g11267
g11527
I2
tp11542
(dp11543
g6
VHead[x]
p11544
sg8
(lp11545
(dp11546
g11
(lp11547
sg13
V\u005ctext{Symbol}
p11548
sg15
I3
sass(g1696
g11267
VMap
p11549
I0
tp11550
(dp11551
g6
Vf /@ {1, 2, 3}
p11552
sg8
(lp11553
(dp11554
g11
(lp11555
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright]\u005cright\u005c}
p11556
sg15
I1
sass(g1696
g11267
g11549
I1
tp11557
(dp11558
g6
V#^2& /@ {1, 2, 3, 4}
p11559
sg8
(lp11560
(dp11561
g11
(lp11562
sg13
V\u005cleft\u005c{1,4,9,16\u005cright\u005c}
p11563
sg15
I2
sass(g1696
g11267
g11549
I2
tp11564
(dp11565
g6
VMap[f, {{a, b}, {c, d, e}}, {2}]
p11566
sg8
(lp11567
(dp11568
g11
(lp11569
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[a\u005cright],f\u005cleft[b\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[c\u005cright],f\u005cleft[d\u005cright],f\u005cleft[e\u005cright]\u005cright\u005c}\u005cright\u005c}
p11570
sg15
I3
sass(g1696
g11267
g11549
I3
tp11571
(dp11572
g6
VMap[f, a + b + c, Heads->True]
p11573
sg8
(lp11574
(dp11575
g11
(lp11576
sg13
Vf\u005cleft[\u005ctext{Plus}\u005cright]\u005cleft[f\u005cleft[a\u005cright],f\u005cleft[b\u005cright],f\u005cleft[c\u005cright]\u005cright]
p11577
sg15
I4
sass(g1696
g11267
VMapAt
p11578
I0
tp11579
(dp11580
g6
VMapAt[f, {a, b, c, d}, 2]
p11581
sg8
(lp11582
(dp11583
g11
(lp11584
sg13
V\u005cleft\u005c{a,f\u005cleft[b\u005cright],c,d\u005cright\u005c}
p11585
sg15
I1
sass(g1696
g11267
g11578
I1
tp11586
(dp11587
g6
VMapAt[f, {a, b, c, d}, {{1}, {4}}]
p11588
sg8
(lp11589
(dp11590
g11
(lp11591
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],b,c,f\u005cleft[d\u005cright]\u005cright\u005c}
p11592
sg15
I2
sass(g1696
g11267
g11578
I2
tp11593
(dp11594
g6
VMapAt[f, {a, b, c, d}, -1]
p11595
sg8
(lp11596
(dp11597
g11
(lp11598
sg13
V\u005cleft\u005c{a,b,c,f\u005cleft[d\u005cright]\u005cright\u005c}
p11599
sg15
I3
sass(g1696
g11267
g11578
I3
tp11600
(dp11601
g6
VMapAt[f, <|"a" -> 1, "b" -> 2, "c" -> 3, "d" -> 4, "e" -> 5|>, 3]
p11602
sg8
(lp11603
(dp11604
g11
(lp11605
sg13
V\u005cleft\u005c{\u005ctext{a}->1,\u005ctext{b}->2,\u005ctext{c}->f\u005cleft[3\u005cright],\u005ctext{d}->4,\u005ctext{e}->5\u005cright\u005c}
p11606
sg15
I4
sass(g1696
g11267
g11578
I4
tp11607
(dp11608
g6
VMapAt[f, <|"a" -> 1, "b" -> 2, "c" -> 3, "d" -> 4|>, -3]
p11609
sg8
(lp11610
(dp11611
g11
(lp11612
sg13
V\u005cleft\u005c{\u005ctext{a}->1,\u005ctext{b}->f\u005cleft[2\u005cright],\u005ctext{c}->3,\u005ctext{d}->4\u005cright\u005c}
p11613
sg15
I5
sass(g1696
g11267
g11578
I5
tp11614
(dp11615
g6
VMapAt[f, 1][{a, b, c, d}]
p11616
sg8
(lp11617
(dp11618
g11
(lp11619
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],b,c,d\u005cright\u005c}
p11620
sg15
I6
sass(g1696
g11267
VMapIndexed
p11621
I0
tp11622
(dp11623
g6
VMapIndexed[f, {a, b, c}]
p11624
sg8
(lp11625
(dp11626
g11
(lp11627
sg13
V\u005cleft\u005c{f\u005cleft[a,\u005cleft\u005c{1\u005cright\u005c}\u005cright],f\u005cleft[b,\u005cleft\u005c{2\u005cright\u005c}\u005cright],f\u005cleft[c,\u005cleft\u005c{3\u005cright\u005c}\u005cright]\u005cright\u005c}
p11628
sg15
I1
sass(g1696
g11267
g11621
I1
tp11629
(dp11630
g6
VMapIndexed[f, {a, b, c}, Heads->True]
p11631
sg8
(lp11632
(dp11633
g11
(lp11634
sg13
Vf\u005cleft[\u005ctext{List},\u005cleft\u005c{0\u005cright\u005c}\u005cright]\u005cleft[f\u005cleft[a,\u005cleft\u005c{1\u005cright\u005c}\u005cright],f\u005cleft[b,\u005cleft\u005c{2\u005cright\u005c}\u005cright],f\u005cleft[c,\u005cleft\u005c{3\u005cright\u005c}\u005cright]\u005cright]
p11635
sg15
I2
sass(g1696
g11267
g11621
I2
tp11636
(dp11637
g6
VMapIndexed[f, a + b + c * d, {0, 1}]
p11638
sg8
(lp11639
(dp11640
g11
(lp11641
sg13
Vf\u005cleft[f\u005cleft[a,\u005cleft\u005c{1\u005cright\u005c}\u005cright]+f\u005cleft[b,\u005cleft\u005c{2\u005cright\u005c}\u005cright]+f\u005cleft[c d,\u005cleft\u005c{3\u005cright\u005c}\u005cright],\u005cleft\u005c{\u005cright\u005c}\u005cright]
p11642
sg15
I3
sass(g1696
g11267
g11621
I3
tp11643
(dp11644
g6
Vexpr = a + b * f[g] * c ^ e;
p11645
sg8
(lp11646
(dp11647
g11
(lp11648
sg13
Nsg15
I4
sass(g1696
g11267
g11621
I4
tp11649
(dp11650
g6
Vlistified = Apply[List, expr, {0, Infinity}];
p11651
sg8
(lp11652
(dp11653
g11
(lp11654
sg13
Nsg15
I5
sass(g1696
g11267
g11621
I5
tp11655
(dp11656
g6
VMapIndexed[#2 &, listified, {-1}]
p11657
sg8
(lp11658
(dp11659
g11
(lp11660
sg13
V\u005cleft\u005c{\u005cleft\u005c{1\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2,2,1\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2,3,1\u005cright\u005c},\u005cleft\u005c{2,3,2\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11661
sg15
I6
sass(g1696
g11267
g11621
I6
tp11662
(dp11663
g6
VMapIndexed[#2 &, listified, {-1}, Heads -> True]
p11664
sg8
(lp11665
(dp11666
g11
(lp11667
sg13
V\u005cleft\u005c{0\u005cright\u005c}\u005cleft[\u005cleft\u005c{1\u005cright\u005c},\u005cleft\u005c{2,0\u005cright\u005c}\u005cleft[\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{2,2,0\u005cright\u005c}\u005cleft[\u005cleft\u005c{2,2,1\u005cright\u005c}\u005cright],\u005cleft\u005c{2,3,0\u005cright\u005c}\u005cleft[\u005cleft\u005c{2,3,1\u005cright\u005c},\u005cleft\u005c{2,3,2\u005cright\u005c}\u005cright]\u005cright]\u005cright]
p11668
sg15
I7
sass(g1696
g11267
g11621
I7
tp11669
(dp11670
g6
VMapIndexed[Extract[expr, #2] &, listified, {-1}, Heads -> True]
p11671
sg8
(lp11672
(dp11673
g11
(lp11674
sg13
Va+b f\u005cleft[g\u005cright] c^e
p11675
sg15
I8
sass(g1696
g11267
VMapThread
p11676
I0
tp11677
(dp11678
g6
VMapThread[f, {{a, b, c}, {1, 2, 3}}]
p11679
sg8
(lp11680
(dp11681
g11
(lp11682
sg13
V\u005cleft\u005c{f\u005cleft[a,1\u005cright],f\u005cleft[b,2\u005cright],f\u005cleft[c,3\u005cright]\u005cright\u005c}
p11683
sg15
I1
sass(g1696
g11267
g11676
I1
tp11684
(dp11685
g6
VMapThread[f, {{{a, b}, {c, d}}, {{e, f}, {g, h}}}, 2]
p11686
sg8
(lp11687
(dp11688
g11
(lp11689
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[a,e\u005cright],f\u005cleft[b,f\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[c,g\u005cright],f\u005cleft[d,h\u005cright]\u005cright\u005c}\u005cright\u005c}
p11690
sg15
I2
sass(g1696
g11267
VNull
p11691
I0
tp11692
(dp11693
g6
VFullForm[a:=b]
p11694
sg8
(lp11695
(dp11696
g11
(lp11697
sg13
V\u005ctext{Null}
p11698
sg15
I1
sass(g1696
g11267
g11691
I1
tp11699
(dp11700
g6
Va:=b
p11701
sg8
(lp11702
(dp11703
g11
(lp11704
sg13
Nsg15
I2
sass(g1696
g11267
g11691
I2
tp11705
(dp11706
g6
V""
p11707
sg8
(lp11708
(dp11709
g11
(lp11710
sg13
V\u005ctext{}
p11711
sg15
I3
sass(g1696
g11267
VOperate
p11712
I0
tp11713
(dp11714
g6
VOperate[p, f[a, b]]
p11715
sg8
(lp11716
(dp11717
g11
(lp11718
sg13
Vp\u005cleft[f\u005cright]\u005cleft[a,b\u005cright]
p11719
sg15
I1
sass(g1696
g11267
g11712
I1
tp11720
(dp11721
g6
VOperate[p, f[a, b], 1]
p11722
sg8
(lp11723
(dp11724
g11
(lp11725
sg13
Vp\u005cleft[f\u005cright]\u005cleft[a,b\u005cright]
p11726
sg15
I2
sass(g1696
g11267
g11712
I2
tp11727
(dp11728
g6
VOperate[p, f[a][b][c], 0]
p11729
sg8
(lp11730
(dp11731
g11
(lp11732
sg13
Vp\u005cleft[f\u005cleft[a\u005cright]\u005cleft[b\u005cright]\u005cleft[c\u005cright]\u005cright]
p11733
sg15
I3
sass(g1696
g11267
VOrder
p11734
I0
tp11735
(dp11736
g6
VOrder[7, 11]
p11737
sg8
(lp11738
(dp11739
g11
(lp11740
sg13
V1
p11741
sg15
I1
sass(g1696
g11267
g11734
I1
tp11742
(dp11743
g6
VOrder[100, 10]
p11744
sg8
(lp11745
(dp11746
g11
(lp11747
sg13
V-1
p11748
sg15
I2
sass(g1696
g11267
g11734
I2
tp11749
(dp11750
g6
VOrder[x, z]
p11751
sg8
(lp11752
(dp11753
g11
(lp11754
sg13
V1
p11755
sg15
I3
sass(g1696
g11267
g11734
I3
tp11756
(dp11757
g6
VOrder[x, x]
p11758
sg8
(lp11759
(dp11760
g11
(lp11761
sg13
V0
p11762
sg15
I4
sass(g1696
g11267
VOrderedQ
p11763
I0
tp11764
(dp11765
g6
VOrderedQ[a, b]
p11766
sg8
(lp11767
(dp11768
g11
(lp11769
sg13
V\u005ctext{True}
p11770
sg15
I1
sass(g1696
g11267
g11763
I1
tp11771
(dp11772
g6
VOrderedQ[b, a]
p11773
sg8
(lp11774
(dp11775
g11
(lp11776
sg13
V\u005ctext{False}
p11777
sg15
I2
sass(g1696
g11267
VPatternsOrderedQ
p11778
I0
tp11779
(dp11780
g6
VPatternsOrderedQ[x__, x_]
p11781
sg8
(lp11782
(dp11783
g11
(lp11784
sg13
V\u005ctext{False}
p11785
sg15
I1
sass(g1696
g11267
g11778
I1
tp11786
(dp11787
g6
VPatternsOrderedQ[x_, x__]
p11788
sg8
(lp11789
(dp11790
g11
(lp11791
sg13
V\u005ctext{True}
p11792
sg15
I2
sass(g1696
g11267
g11778
I2
tp11793
(dp11794
g6
VPatternsOrderedQ[b, a]
p11795
sg8
(lp11796
(dp11797
g11
(lp11798
sg13
V\u005ctext{True}
p11799
sg15
I3
sass(g1696
g11267
VScan
p11800
I0
tp11801
(dp11802
g6
VScan[Print, {1, 2, 3}]
p11803
sg8
(lp11804
(dp11805
g11
(lp11806
(dp11807
g149
I00
sg156
V1
p11808
sa(dp11809
g149
I00
sg156
V2
p11810
sa(dp11811
g149
I00
sg156
V3
p11812
sasg13
Nsg15
I1
sass(g1696
g11267
VSort
p11813
I0
tp11814
(dp11815
g6
VSort[{4, 1.0, a, 3+I}]
p11816
sg8
(lp11817
(dp11818
g11
(lp11819
sg13
V\u005cleft\u005c{1.,3+I,4,a\u005cright\u005c}
p11820
sg15
I1
sass(g1696
g11267
g11813
I1
tp11821
(dp11822
g6
VSort[{items___, item_, OptionsPattern[], item_symbol, item_?test}, PatternsOrderedQ]
p11823
sg8
(lp11824
(dp11825
g11
(lp11826
sg13
V\u005cleft\u005c{\u005ctext{item\u005c_symbol},\u005ctext{item\u005c_}?\u005ctext{test},\u005ctext{item\u005c_},\u005ctext{items\u005c_\u005c_\u005c_},\u005ctext{OptionsPattern}\u005cleft[\u005cright]\u005cright\u005c}
p11827
sg15
I2
sass(g1696
g11267
g11813
I2
tp11828
(dp11829
g6
VSort[{a, b/;t}, PatternsOrderedQ]
p11830
sg8
(lp11831
(dp11832
g11
(lp11833
sg13
V\u005cleft\u005c{b\u005ctext{/;}t,a\u005cright\u005c}
p11834
sg15
I3
sass(g1696
g11267
g11813
I3
tp11835
(dp11836
g6
VSort[{2+c_, 1+b__}, PatternsOrderedQ]
p11837
sg8
(lp11838
(dp11839
g11
(lp11840
sg13
V\u005cleft\u005c{2+\u005ctext{c\u005c_},1+\u005ctext{b\u005c_\u005c_}\u005cright\u005c}
p11841
sg15
I4
sass(g1696
g11267
g11813
I4
tp11842
(dp11843
g6
VSort[{x_ + n_*y_, x_ + y_}, PatternsOrderedQ]
p11844
sg8
(lp11845
(dp11846
g11
(lp11847
sg13
V\u005cleft\u005c{\u005ctext{x\u005c_}+\u005ctext{n\u005c_} \u005ctext{y\u005c_},\u005ctext{x\u005c_}+\u005ctext{y\u005c_}\u005cright\u005c}
p11848
sg15
I5
sass(g1696
g11267
VSortBy
p11849
I0
tp11850
(dp11851
g6
VSortBy[{{5, 1}, {10, -1}}, Last]
p11852
sg8
(lp11853
(dp11854
g11
(lp11855
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,-1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p11856
sg15
I1
sass(g1696
g11267
g11849
I1
tp11857
(dp11858
g6
VSortBy[Total][{{5, 1}, {10, -9}}]
p11859
sg8
(lp11860
(dp11861
g11
(lp11862
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,-9\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p11863
sg15
I2
sass(g1696
g11267
VSymbolName
p11864
I0
tp11865
(dp11866
g6
VSymbolName[x] // InputForm
p11867
sg8
(lp11868
(dp11869
g11
(lp11870
sg13
V\u005ctext{"x"}
p11871
sg15
I1
sass(g1696
g11267
VSymbolQ
p11872
I0
tp11873
(dp11874
g6
VSymbolQ[a]
p11875
sg8
(lp11876
(dp11877
g11
(lp11878
sg13
V\u005ctext{True}
p11879
sg15
I1
sass(g1696
g11267
g11872
I1
tp11880
(dp11881
g6
VSymbolQ[1]
p11882
sg8
(lp11883
(dp11884
g11
(lp11885
sg13
V\u005ctext{False}
p11886
sg15
I2
sass(g1696
g11267
g11872
I2
tp11887
(dp11888
g6
VSymbolQ[a + b]
p11889
sg8
(lp11890
(dp11891
g11
(lp11892
sg13
V\u005ctext{False}
p11893
sg15
I3
sass(g1696
g11267
VSymbol
p11894
I0
tp11895
(dp11896
g6
VHead[x]
p11897
sg8
(lp11898
(dp11899
g11
(lp11900
sg13
V\u005ctext{Symbol}
p11901
sg15
I1
sass(g1696
g11267
g11894
I1
tp11902
(dp11903
g6
VSymbol["x"] + Symbol["x"]
p11904
sg8
(lp11905
(dp11906
g11
(lp11907
sg13
V2 x
p11908
sg15
I2
sass(g1696
g11267
VThread
p11909
I0
tp11910
(dp11911
g6
VThread[f[{a, b, c}]]
p11912
sg8
(lp11913
(dp11914
g11
(lp11915
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],f\u005cleft[b\u005cright],f\u005cleft[c\u005cright]\u005cright\u005c}
p11916
sg15
I1
sass(g1696
g11267
g11909
I1
tp11917
(dp11918
g6
VThread[f[{a, b, c}, t]]
p11919
sg8
(lp11920
(dp11921
g11
(lp11922
sg13
V\u005cleft\u005c{f\u005cleft[a,t\u005cright],f\u005cleft[b,t\u005cright],f\u005cleft[c,t\u005cright]\u005cright\u005c}
p11923
sg15
I2
sass(g1696
g11267
g11909
I2
tp11924
(dp11925
g6
VThread[f[a + b + c], Plus]
p11926
sg8
(lp11927
(dp11928
g11
(lp11929
sg13
Vf\u005cleft[a\u005cright]+f\u005cleft[b\u005cright]+f\u005cleft[c\u005cright]
p11930
sg15
I3
sass(g1696
g11267
g11909
I3
tp11931
(dp11932
g6
V{a, b, c} + {d, e, f} + g
p11933
sg8
(lp11934
(dp11935
g11
(lp11936
sg13
V\u005cleft\u005c{a+d+g,b+e+g,c+f+g\u005cright\u005c}
p11937
sg15
I4
sass(g1696
g11267
VThrough
p11938
I0
tp11939
(dp11940
g6
VThrough[f[g][x]]
p11941
sg8
(lp11942
(dp11943
g11
(lp11944
sg13
Vf\u005cleft[g\u005cleft[x\u005cright]\u005cright]
p11945
sg15
I1
sass(g1696
g11267
g11938
I1
tp11946
(dp11947
g6
VThrough[p[f, g][x]]
p11948
sg8
(lp11949
(dp11950
g11
(lp11951
sg13
Vp\u005cleft[f\u005cleft[x\u005cright],g\u005cleft[x\u005cright]\u005cright]
p11952
sg15
I2
sass(g1696
VExponential, Trigonometric and Hyperbolic Functions
p11953
VAnglePath
p11954
I0
tp11955
(dp11956
g6
VAnglePath[{90 Degree, 90 Degree, 90 Degree, 90 Degree}]
p11957
sg8
(lp11958
(dp11959
g11
(lp11960
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,0\u005cright\u005c},\u005cleft\u005c{0,1\u005cright\u005c},\u005cleft\u005c{-1,1\u005cright\u005c},\u005cleft\u005c{-1,0\u005cright\u005c},\u005cleft\u005c{0,0\u005cright\u005c}\u005cright\u005c}
p11961
sg15
I1
sass(g1696
g11953
g11954
I1
tp11962
(dp11963
g6
VAnglePath[{{1, 1}, 90 Degree}, {{1, 90 Degree}, {2, 90 Degree}, {1, 90 Degree}, {2, 90 Degree}}]
p11964
sg8
(lp11965
(dp11966
g11
(lp11967
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,1\u005cright\u005c},\u005cleft\u005c{0,1\u005cright\u005c},\u005cleft\u005c{0,-1\u005cright\u005c},\u005cleft\u005c{1,-1\u005cright\u005c},\u005cleft\u005c{1,1\u005cright\u005c}\u005cright\u005c}
p11968
sg15
I2
sass(g1696
g11953
g11954
I2
tp11969
(dp11970
g6
VAnglePath[{a, b}]
p11971
sg8
(lp11972
(dp11973
g11
(lp11974
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,0\u005cright\u005c},\u005cleft\u005c{\u005ctext{Cos}\u005cleft[a\u005cright],\u005ctext{Sin}\u005cleft[a\u005cright]\u005cright\u005c},\u005cleft\u005c{\u005ctext{Cos}\u005cleft[a\u005cright]+\u005ctext{Cos}\u005cleft[a+b\u005cright],\u005ctext{Sin}\u005cleft[a\u005cright]+\u005ctext{Sin}\u005cleft[a+b\u005cright]\u005cright\u005c}\u005cright\u005c}
p11975
sg15
I3
sass(g1696
g11953
g11954
I3
tp11976
(dp11977
g6
VPrecision[Part[AnglePath[{N[1/3, 100], N[2/3, 100]}], 2, 1]]
p11978
sg8
(lp11979
(dp11980
g11
(lp11981
sg13
V100.
p11982
sg15
I4
sass(g1696
g11953
g11954
I4
tp11983
(dp11984
g6
VGraphics[Line[AnglePath[Table[1.7, {50}]]]]
p11985
sg8
(lp11986
(dp11987
g11
(lp11988
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8305cm, 5.8333cm);\u000adraw((306.31,59.4193)--(272.42,320.254)--(18.123,253.04)--(117.54,9.52535)--(346.22,139.491)--(187.87,349.515)--(0,165.428)--(206.76,2.84147)--(341.35,228.825)--(99.909,333.178)--(27.534,80.3043)--(287.63,41.1135)--(292.98,304.086)--(31.507,275.512)--(93.532,19.9024)--(339.02,114.345)--(213.74,345.617)--(0.53229,191.579)--(180.76,    0)--(347.52,203.406)--(124.32,342.57)--(15.075,103.302)--(266.42,25.7957)--(310.9,285.036)--(48.09,295.739)--(71.337,33.741)--(328.16,90.5515)--(238.73,337.91)--(4.955,217.358)--(154.62,1.06436)--(349.83,177.353)--(149.86,348.219)--(6.1826,127.9)--(243.18,13.8078)--(325.78,263.527)--(67.502,313.269)--(51.452,50.7321)--(313.87,68.6427)--(262.3,326.565)--(13.169,242.19)--(128.94,6.0108)--(348.23,151.246)--(175.95,  350)--(1.0542,153.548)--(218.4,5.41755)--(337.3,240.041)--(89.309,327.712)--(34.32,70.4965)--(296.48,49.1073)--(283.91,311.834)--(24.992,265.522), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (350.5,350.67)));\u000a\u005cend{asy}\u000a
p11989
sg15
I5
sass(g1696
g11953
g11954
I5
tp11990
(dp11991
g6
VGraphics[Line[AnglePath[RandomReal[{-1, 1}, {100}]]]]
p11992
sg8
(lp11993
(dp11994
g11
(lp11995
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 3.8873cm);\u000adraw((0,228.545)--(8.1116,226.373)--(13.893,220.282)--(21.96,217.95)--(30.125,219.912)--(37.747,223.437)--(46.135,223.835)--(54.04,221.002)--(62.179,223.069)--(68.742,217.831)--(76.948,219.613)--(85.067,221.758)--(93.357,220.416)--(100.55,216.083)--(108.74,217.948)--(115.22,223.282)--(118.85,230.855)--(127.05,232.68)--(134.66,229.133)--(139.75,222.454)--(144,215.213)--(147.85,207.748)--(153.5,201.534)--(161.35,198.575)--(169.62,200.067)--(177.94,201.2)--(185.97,198.735)--(192.09,192.987)--(200.48,193.313)--(206.15,187.117)--(214.38,185.455)--(222.3,182.667)--(228.96,177.554)--(237.36,177.494)--(245.54,175.625)--(253.88,174.633)--(261.71,177.683)--(269.29,174.084)--(274.29,167.338)--(278.28,159.95)--(286.28,157.384)--(293.17,162.186)--(301.28,164.357)--(308.61,168.461)--(317,168.776)--(324.33,172.879)--(331.84,169.127)--(340.01,167.201)--(348.07,164.847)--(352.21,157.538)--(360.04,154.517)--(368.43,154.126)--(375.06,159.278)--(383.45,158.772)--(391.66,157.036)--(398.23,151.802)--(400,143.594)--(397.39,135.614)--(397.92,127.234)--(394.14,119.736)--(389.29,112.883)--(380.96,111.833)--(372.6,110.951)--(364.76,107.953)--(357.24,104.223)--(349.11,102.109)--(346.3,94.1968)--(338.38,91.4056)--(332.17,85.7536)--(323.95,84.0192)--(315.56,84.3345)--(307.71,81.3444)--(299.63,83.6229)--(292.34,79.453)--(291.28,71.1233)--(290.23,62.7921)--(293.03,54.8765)--(293.32,46.4841)--(290.13,38.7151)--(285.09,31.9952)--(283.01,23.8612)--(277.41,17.5993)--(269.24,15.6794)--(260.85,16.0091)--(253.51,20.1009)--(247.39,25.8447)--(239.65,29.1183)--(236.26,36.7976)--(231.65,43.817)--(223.5,45.8346)--(216.07,41.9103)--(209.02,37.356)--(200.66,36.5353)--(196.61,29.18)--(188.24,28.481)--(180.82,24.5446)--(174.09,19.5286)--(168.91,12.9196)--(163,6.95669)--(156.42,1.73544)--(148.2,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (400.67,233.35)));\u000a\u005cend{asy}\u000a
p11996
sg15
I6
sass(g1696
g11953
VAngleVector
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(-2.6666666666666665,67.06062572837394), (-1,0), rgb(0, 0, 0));\u000alabel("$10$", (-2.6666666666666665,136.8401808717983), (-1,0), rgb(0, 0, 0));\u000alabel("$15$", (-2.6666666666666665,206.61973601522266), (-1,0), rgb(0, 0, 0));\u000adraw((0,67.0606)--(6.6667,67.0606), rgb(0, 0, 0)+linewidth(0.66667));draw((0,136.84)--(6.6667,136.84), rgb(0, 0, 0)+linewidth(0.66667));draw((0,206.62)--(6.6667,206.62), rgb(0, 0, 0)+linewidth(0.66667));draw((0,11.237)--(4,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((0,25.1929)--(4,25.1929), rgb(0, 0, 0)+linewidth(0.66667));draw((0,39.1488)--(4,39.1488), rgb(0, 0, 0)+linewidth(0.66667));draw((0,53.1047)--(4,53.1047), rgb(0, 0, 0)+linewidth(0.66667));draw((0,81.0165)--(4,81.0165), rgb(0, 0, 0)+linewidth(0.66667));draw((0,94.9724)--(4,94.9724), rgb(0, 0, 0)+linewidth(0.66667));draw((0,108.928)--(4,108.928), rgb(0, 0, 0)+linewidth(0.66667));draw((0,122.884)--(4,122.884), rgb(0, 0, 0)+linewidth(0.66667));draw((0,150.796)--(4,150.796), rgb(0, 0, 0)+linewidth(0.66667));draw((0,164.752)--(4,164.752), rgb(0, 0, 0)+linewidth(0.66667));draw((0,178.708)--(4,178.708), rgb(0, 0, 0)+linewidth(0.66667));draw((0,192.664)--(4,192.664), rgb(0, 0, 0)+linewidth(0.66667));draw((0,220.576)--(4,220.576), rgb(0, 0, 0)+linewidth(0.66667));draw((0,234.532)--(4,234.532), rgb(0, 0, 0)+linewidth(0.66667));draw((0,248.487)--(4,248.487), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p12363
sg15
I4
sass(g1696
g11953
VHaversine
p12364
I0
tp12365
(dp12366
g6
VHaversine[1.5]
p12367
sg8
(lp12368
(dp12369
g11
(lp12370
sg13
V0.464631
p12371
sg15
I1
sass(g1696
g11953
g12364
I1
tp12372
(dp12373
g6
VHaversine[0.5 + 2I]
p12374
sg8
(lp12375
(dp12376
g11
(lp12377
sg13
V-1.15082+0.869405 I
p12378
sg15
I2
sass(g1696
g11953
VInverseHaversine
p12379
I0
tp12380
(dp12381
g6
VInverseHaversine[0.5]
p12382
sg8
(lp12383
(dp12384
g11
(lp12385
sg13
V1.5708
p12386
sg15
I1
sass(g1696
g11953
g12379
I1
tp12387
(dp12388
g6
VInverseHaversine[1 + 2.5 I]
p12389
sg8
(lp12390
(dp12391
g11
(lp12392
sg13
V1.76459+2.33097 I
p12393
sg15
I2
sass(g1696
g11953
VLog
p12394
I0
tp12395
(dp12396
g6
VLog[{0, 1, E, E * E, E ^ 3, E ^ x}]
p12397
sg8
(lp12398
(dp12399
g11
(lp12400
sg13
V\u005cleft\u005c{-\u005cinfty ,0,1,2,3,\u005ctext{Log}\u005cleft[E^x\u005cright]\u005cright\u005c}
p12401
sg15
I1
sass(g1696
g11953
g12394
I1
tp12402
(dp12403
g6
VLog[0.]
p12404
sg8
(lp12405
(dp12406
g11
(lp12407
sg13
V\u005ctext{Indeterminate}
p12408
sg15
I2
sass(g1696
g11953
g12394
I2
tp12409
(dp12410
g6
VPlot[Log[x], {x, 0, 5}]
p12411
sg8
(lp12412
(dp12413
g11
(lp12414
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((7.1429,-106.819)--(8.9286,-87.8158)--(10.714,-72.2895)--(12.5,-59.1622)--(13.393,-53.2868)--(14.286,-47.7908)--(16.071,-37.7605)--(17.857,-28.7881)--(19.643,-20.6716)--(21.429,-13.2618)--(23.214,-6.44539)--(25,-0.134426)--(25.893,2.85392)--(26.786,5.74094)--(28.571,11.237)--(32.143,21.2673)--(33.929,25.8716)--(35.714,30.2397)--(39.286,38.3562)--(41.071,42.1417)--(42.857,45.766)--(46.429,52.5824)--(48.214,55.7963)--(50,58.8933)--(53.571,64.7687)--(55.357,67.5611)--(57.143,70.2647)--(60.714,75.4275)--(62.5,77.896)--(64.286,80.295)--(67.857,84.8993)--(69.643,87.1114)--(71.429,89.2674)--(75,93.4224)--(76.786,95.4262)--(78.571,97.384)--(82.143,101.169)--(83.929,103.001)--(85.714,104.794)--(89.286,108.27)--(91.071,109.957)--(92.857,111.61)--(96.429,114.824)--(98.214,116.387)--(100,117.921)--(103.57,120.909)--(105.36,122.365)--(107.14,123.796)--(110.71,126.589)--(112.5,127.951)--(114.29,129.293)--(117.86,131.913)--(119.64,133.194)--(121.43,134.455)--(125,136.924)--(126.79,138.132)--(128.57,139.323)--(132.14,141.656)--(133.93,142.799)--(135.71,143.927)--(139.29,146.139)--(141.07,147.224)--(142.86,148.295)--(146.43,150.398)--(148.21,151.43)--(150,152.45)--(153.57,154.454)--(157.14,156.412)--(160.71,158.325)--(164.29,160.197)--(167.86,162.029)--(171.43,163.822)--(175,165.577)--(178.57,167.298)--(182.14,168.984)--(185.71,170.638)--(189.29,172.26)--(192.86,173.852)--(196.43,175.414)--(200,176.949)--(207.14,179.937)--(214.29,182.824)--(221.43,185.617)--(228.57,188.32)--(235.71,190.941)--(242.86,193.483)--(250,195.952)--(257.14,198.351)--(264.29,200.684)--(271.43,202.955)--(278.57,205.167)--(285.71,207.323)--(292.86,209.426)--(300,211.478)--(307.14,213.482)--(314.29,215.439)--(321.43,217.353)--(328.57,219.225)--(335.71,221.056)--(342.86,222.849)--(350,224.605)--(357.14,226.326)--(364.29,228.012)--(371.43,229.666)--(378.57,231.288)--(385.71,232.88)--(392.86,234.442)--(400,235.977), 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0)+linewidth(0.66667));draw((48,98.9184)--(48,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((64,98.9184)--(64,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((96,98.9184)--(96,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((112,98.9184)--(112,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((128,98.9184)--(128,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((144,98.9184)--(144,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((176,98.9184)--(176,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((192,98.9184)--(192,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((208,98.9184)--(208,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((224,98.9184)--(224,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((256,98.9184)--(256,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((272,98.9184)--(272,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((288,98.9184)--(288,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((304,98.9184)--(304,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((336,98.9184)--(336,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((352,98.9184)--(352,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((368,98.9184)--(368,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((384,98.9184)--(384,102.918), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,13.759343235234883), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,56.33887149153336), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,141.4979280041303), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,184.07745626042876), (-1,0), rgb(0, 0, 0));\u000alabel("$1.5$", (-2.6666666666666665,226.65698451672728), (-1,0), rgb(0, 0, 0));\u000adraw((0,13.7593)--(6.6667,13.7593), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.3389)--(6.6667,56.3389), rgb(0, 0, 0)+linewidth(0.66667));draw((0,141.498)--(6.6667,141.498), rgb(0, 0, 0)+linewidth(0.66667));draw((0,184.077)--(6.6667,184.077), rgb(0, 0, 0)+linewidth(0.66667));draw((0,226.657)--(6.6667,226.657), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-3.27247)--(4,-3.27247), rgb(0, 0, 0)+linewidth(0.66667));draw((0,5.24344)--(4,5.24344), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.2752)--(4,22.2752), rgb(0, 0, 0)+linewidth(0.66667));draw((0,30.7912)--(4,30.7912), rgb(0, 0, 0)+linewidth(0.66667));draw((0,39.3071)--(4,39.3071), rgb(0, 0, 0)+linewidth(0.66667));draw((0,47.823)--(4,47.823), rgb(0, 0, 0)+linewidth(0.66667));draw((0,64.8548)--(4,64.8548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,73.3707)--(4,73.3707), rgb(0, 0, 0)+linewidth(0.66667));draw((0,81.8866)--(4,81.8866), rgb(0, 0, 0)+linewidth(0.66667));draw((0,90.4025)--(4,90.4025), rgb(0, 0, 0)+linewidth(0.66667));draw((0,107.434)--(4,107.434), rgb(0, 0, 0)+linewidth(0.66667));draw((0,115.95)--(4,115.95), rgb(0, 0, 0)+linewidth(0.66667));draw((0,124.466)--(4,124.466), rgb(0, 0, 0)+linewidth(0.66667));draw((0,132.982)--(4,132.982), rgb(0, 0, 0)+linewidth(0.66667));draw((0,150.014)--(4,150.014), rgb(0, 0, 0)+linewidth(0.66667));draw((0,158.53)--(4,158.53), rgb(0, 0, 0)+linewidth(0.66667));draw((0,167.046)--(4,167.046), rgb(0, 0, 0)+linewidth(0.66667));draw((0,175.562)--(4,175.562), rgb(0, 0, 0)+linewidth(0.66667));draw((0,192.593)--(4,192.593), rgb(0, 0, 0)+linewidth(0.66667));draw((0,201.109)--(4,201.109), rgb(0, 0, 0)+linewidth(0.66667));draw((0,209.625)--(4,209.625), rgb(0, 0, 0)+linewidth(0.66667));draw((0,218.141)--(4,218.141), rgb(0, 0, 0)+linewidth(0.66667));draw((0,235.173)--(4,235.173), rgb(0, 0, 0)+linewidth(0.66667));draw((0,243.689)--(4,243.689), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p12415
sg15
I3
sass(g1696
g11953
VLog10
p12416
I0
tp12417
(dp12418
g6
VLog10[1000]
p12419
sg8
(lp12420
(dp12421
g11
(lp12422
sg13
V3
p12423
sg15
I1
sass(g1696
g11953
g12416
I1
tp12424
(dp12425
g6
VLog10[{2., 5.}]
p12426
sg8
(lp12427
(dp12428
g11
(lp12429
sg13
V\u005cleft\u005c{0.30103,0.69897\u005cright\u005c}
p12430
sg15
I2
sass(g1696
g11953
g12416
I2
tp12431
(dp12432
g6
VLog10[E ^ 3]
p12433
sg8
(lp12434
(dp12435
g11
(lp12436
sg13
V\u005cfrac{3}{\u005ctext{Log}\u005cleft[10\u005cright]}
p12437
sg15
I3
sass(g1696
g11953
VLog2
p12438
I0
tp12439
(dp12440
g6
VLog2[4 ^ 8]
p12441
sg8
(lp12442
(dp12443
g11
(lp12444
sg13
V16
p12445
sg15
I1
sass(g1696
g11953
g12438
I1
tp12446
(dp12447
g6
VLog2[5.6]
p12448
sg8
(lp12449
(dp12450
g11
(lp12451
sg13
V2.48543
p12452
sg15
I2
sass(g1696
g11953
g12438
I2
tp12453
(dp12454
g6
VLog2[E ^ 2]
p12455
sg8
(lp12456
(dp12457
g11
(lp12458
sg13
V\u005cfrac{2}{\u005ctext{Log}\u005cleft[2\u005cright]}
p12459
sg15
I3
sass(g1696
g11953
VLogisticSigmoid
p12460
I0
tp12461
(dp12462
g6
VLogisticSigmoid[0.5]
p12463
sg8
(lp12464
(dp12465
g11
(lp12466
sg13
V0.622459
p12467
sg15
I1
sass(g1696
g11953
g12460
I1
tp12468
(dp12469
g6
VLogisticSigmoid[0.5 + 2.3 I]
p12470
sg8
(lp12471
(dp12472
g11
(lp12473
sg13
V1.06475+0.808177 I
p12474
sg15
I2
sass(g1696
g11953
g12460
I2
tp12475
(dp12476
g6
VLogisticSigmoid[{-0.2, 0.1, 0.3}]
p12477
sg8
(lp12478
(dp12479
g11
(lp12480
sg13
V\u005cleft\u005c{0.450166,0.524979,0.574443\u005cright\u005c}
p12481
sg15
I3
sass(g1696
g11953
VSec
p12482
I0
tp12483
(dp12484
g6
VSec[0]
p12485
sg8
(lp12486
(dp12487
g11
(lp12488
sg13
V1
p12489
sg15
I1
sass(g1696
g11953
g12482
I1
tp12490
(dp12491
g6
VSec[1] (* Sec[1] in Mathematica *)
p12492
sg8
(lp12493
(dp12494
g11
(lp12495
sg13
V\u005cfrac{1}{\u005ctext{Cos}\u005cleft[1\u005cright]}
p12496
sg15
I2
sass(g1696
g11953
g12482
I2
tp12497
(dp12498
g6
VSec[1.]
p12499
sg8
(lp12500
(dp12501
g11
(lp12502
sg13
V1.85082
p12503
sg15
I3
sass(g1696
g11953
VSech
p12504
I0
tp12505
(dp12506
g6
VSech[0]
p12507
sg8
(lp12508
(dp12509
g11
(lp12510
sg13
V1
p12511
sg15
I1
sass(g1696
g11953
VSin
p12512
I0
tp12513
(dp12514
g6
VSin[0]
p12515
sg8
(lp12516
(dp12517
g11
(lp12518
sg13
V0
p12519
sg15
I1
sass(g1696
g11953
g12512
I1
tp12520
(dp12521
g6
VSin[0.5]
p12522
sg8
(lp12523
(dp12524
g11
(lp12525
sg13
V0.479426
p12526
sg15
I2
sass(g1696
g11953
g12512
I2
tp12527
(dp12528
g6
VSin[3 Pi]
p12529
sg8
(lp12530
(dp12531
g11
(lp12532
sg13
V0
p12533
sg15
I3
sass(g1696
g11953
g12512
I3
tp12534
(dp12535
g6
VSin[1.0 + I]
p12536
sg8
(lp12537
(dp12538
g11
(lp12539
sg13
V1.29846+0.634964 I
p12540
sg15
I4
sass(g1696
g11953
g12512
I4
tp12541
(dp12542
g6
VPlot[Sin[x], {x, -Pi, Pi}]
p12543
sg8
(lp12544
(dp12545
g11
(lp12546
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((327.32,123.607)--(327.32,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((390.99,123.607)--(390.99,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((-3.7183,123.607)--(-3.7183,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((21.746,123.607)--(21.746,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((34.479,123.607)--(34.479,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((47.211,123.607)--(47.211,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((59.944,123.607)--(59.944,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((85.408,123.607)--(85.408,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((98.141,123.607)--(98.141,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((110.87,123.607)--(110.87,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((123.61,123.607)--(123.61,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((149.07,123.607)--(149.07,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((161.8,123.607)--(161.8,127.607), rgb(0, 0, 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0)+linewidth(0.66667));draw((378.25,123.607)--(378.25,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((403.72,123.607)--(403.72,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (197.33333333333334,11.23698161363446), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (197.33333333333334,67.42188968180672), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,179.7917058181512), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (197.33333333333334,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((200,11.237)--(206.67,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((200,67.4219)--(206.67,67.4219), rgb(0, 0, 0)+linewidth(0.66667));draw((200,179.792)--(206.67,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((200,235.977)--(206.67,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((200,    0)--(204,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((200,22.474)--(204,22.474), rgb(0, 0, 0)+linewidth(0.66667));draw((200,33.7109)--(204,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((200,44.9479)--(204,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((200,56.1849)--(204,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((200,78.6589)--(204,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((200,89.8959)--(204,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((200,101.133)--(204,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((200,112.37)--(204,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.844)--(204,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((200,146.081)--(204,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((200,157.318)--(204,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((200,168.555)--(204,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.029)--(204,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((200,202.266)--(204,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((200,213.503)--(204,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((200,224.74)--(204,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.214)--(204,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p12547
sg15
I5
sass(g1696
g11953
VSinh
p12548
I0
tp12549
(dp12550
g6
VSinh[0]
p12551
sg8
(lp12552
(dp12553
g11
(lp12554
sg13
V0
p12555
sg15
I1
sass(g1696
g11953
VTan
p12556
I0
tp12557
(dp12558
g6
VTan[0]
p12559
sg8
(lp12560
(dp12561
g11
(lp12562
sg13
V0
p12563
sg15
I1
sass(g1696
g11953
g12556
I1
tp12564
(dp12565
g6
VTan[Pi / 2]
p12566
sg8
(lp12567
(dp12568
g11
(lp12569
sg13
V\u005ctext{ComplexInfinity}
p12570
sg15
I2
sass(g1696
g11953
VTanh
p12571
I0
tp12572
(dp12573
g6
VTanh[0]
p12574
sg8
(lp12575
(dp12576
g11
(lp12577
sg13
V0
p12578
sg15
I1
sass(g1696
VDrawing Graphics
p12579
VAbsoluteThickness
p12580
I0
tp12581
(dp12582
g6
VGraphics[Table[{AbsoluteThickness[t], Line[{{20 t, 10}, {20 t, 80}}], Text[ToString[t]<>"pt", {20 t, 0}]}, {t, 0, 10}]]
p12583
sg8
(lp12584
(dp12585
g11
(lp12586
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 2.9473cm);\u000adraw((18.708,40.0891)--(18.708,164.811), rgb(0, 0, 0)+linewidth(0));\u000alabel("$\u005ctext{0pt}$", (18.70824053452116,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((54.343,40.0891)--(54.343,164.811), rgb(0, 0, 0)+linewidth(1.3333));\u000alabel("$\u005ctext{1pt}$", (54.342984409799556,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((89.978,40.0891)--(89.978,164.811), rgb(0, 0, 0)+linewidth(2.6667));\u000alabel("$\u005ctext{2pt}$", (89.97772828507794,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((125.61,40.0891)--(125.61,164.811), rgb(0, 0, 0)+linewidth(4));\u000alabel("$\u005ctext{3pt}$", (125.61247216035635,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((161.25,40.0891)--(161.25,164.811), rgb(0, 0, 0)+linewidth(5.3333));\u000alabel("$\u005ctext{4pt}$", (161.24721603563475,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((196.88,40.0891)--(196.88,164.811), rgb(0, 0, 0)+linewidth(6.6667));\u000alabel("$\u005ctext{5pt}$", (196.88195991091314,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((232.52,40.0891)--(232.52,164.811), rgb(0, 0, 0)+linewidth(8));\u000alabel("$\u005ctext{6pt}$", (232.51670378619153,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((268.15,40.0891)--(268.15,164.811), rgb(0, 0, 0)+linewidth(9.3333));\u000alabel("$\u005ctext{7pt}$", (268.15144766146994,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((303.79,40.0891)--(303.79,164.811), rgb(0, 0, 0)+linewidth(10.667));\u000alabel("$\u005ctext{8pt}$", (303.78619153674833,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((339.42,40.0891)--(339.42,164.811), rgb(0, 0, 0)+linewidth(12));\u000alabel("$\u005ctext{9pt}$", (339.4209354120267,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((375.06,40.0891)--(375.06,164.811), rgb(0, 0, 0)+linewidth(13.333));\u000alabel("$\u005ctext{10pt}$", (375.0556792873051,22.271714922049), (0,0), rgb(0, 0, 0));\u000aclip(box((8.2082,9.7717), (389.06,178.14)));\u000a\u005cend{asy}\u000a
p12587
sg15
I1
sass(g1696
g12579
VArrow
p12588
I0
tp12589
(dp12590
g6
VGraphics[Arrow[{{0,0}, {1,1}}]]
p12591
sg8
(lp12592
(dp12593
g11
(lp12594
sg13
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p12595
sg15
I1
sass(g1696
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tp12596
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sg8
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g11
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sg13
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p12602
sg15
I2
sass(g1696
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g12588
I2
tp12603
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g6
VTable[Graphics[{Circle[], Arrow[Table[{Cos[phi],Sin[phi]},{phi,0,2*Pi,Pi/2}],{d, d}]}],{d,0,2,0.5}]
p12605
sg8
(lp12606
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g11
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sg13
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sg15
I3
sass(g1696
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tp12611
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p12613
sg8
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g11
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V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8444cm, 5.8333cm);\u000adraw(ellipse((152.65,152.65),152.65,152.65), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((260.58,260.582)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));filldraw((260.58,260.582)--(274.48,268.525)--(270.51,270.51)--(268.52,274.481)--cycle, rgb(0, 0, 0));filldraw((350,  350)--(336.1,342.058)--(340.07,340.072)--(342.06,336.101)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.33333,0.33333), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p12617
sg15
I1
sass(g1696
g12579
g12610
I1
tp12618
(dp12619
g6
VGraphics[{Circle[], Arrowheads[{{0.04, 1, Graphics[{Red, Disk[]}]}}], Arrow[{{0, 0}, {Cos[Pi/3],Sin[Pi/3]}}]}]
p12620
sg8
(lp12621
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g11
(lp12623
sg13
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p12624
sg15
I2
sass(g1696
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g12610
I2
tp12625
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g6
VGraphics[{Arrowheads[Table[{0.04, i/10, Graphics[Disk[]]},{i,1,10}]], Arrow[{{0, 0}, {6, 5}, {1, -3}, {-2, 2}}]}]
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sg8
(lp12628
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g11
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p12631
sg15
I3
sass(g1696
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p12632
I0
tp12633
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g6
VCases[Options[Plot], HoldPattern[_ :> Automatic]]
p12635
sg8
(lp12636
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g11
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sg13
V\u005cleft\u005c{\u005ctext{Background}\u005ctext{:>}\u005ctext{Automatic},\u005ctext{Exclusions}\u005ctext{:>}\u005ctext{Automatic},\u005ctext{ImageSize}\u005ctext{:>}\u005ctext{Automatic},\u005ctext{MaxRecursion}\u005ctext{:>}\u005ctext{Automatic},\u005ctext{PlotRange}\u005ctext{:>}\u005ctext{Automatic},\u005ctext{PlotRangePadding}\u005ctext{:>}\u005ctext{Automatic}\u005cright\u005c}
p12639
sg15
I1
sass(g1696
g12579
VBezierCurve
p12640
I0
tp12641
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g6
VGraphics[BezierCurve[{{0, 0},{1, 1},{2, -1},{3, 0}}]]
p12643
sg8
(lp12644
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g11
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sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.4518cm);\u000adraw((0,133.33), rgb(0, 0, 0)+linewidth(0.66667));draw((0.,0.)..controls(133.33,266.67) and (266.67,0)..(400,133.33), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (400.67,267.33)));\u000a\u005cend{asy}\u000a
p12647
sg15
I1
sass(g1696
g12579
g12640
I1
tp12648
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VModule[{p={{0, 0},{1, 1},{2, -1},{4, 0}}}, Graphics[{BezierCurve[p], Red, Point[Table[BezierFunction[p][x], {x, 0, 1, 0.1}]]}]]
p12650
sg8
(lp12651
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g11
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V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 3.3444cm);\u000adraw((0,100), rgb(0, 0, 0)+linewidth(0.66667));draw((0.,0.)..controls(100,200) and (200,0)..(400,100), rgb(0, 0, 0)+linewidth(0.66667));\u000adot((0.0, 100.0), rgb(1, 0, 0));dot((30.100000000000005, 121.6), rgb(1, 0, 0));dot((60.80000000000002, 128.8), rgb(1, 0, 0));dot((92.70000000000002, 125.19999999999997), rgb(1, 0, 0));dot((126.4, 114.39999999999999), rgb(1, 0, 0));dot((162.5, 100.0), rgb(1, 0, 0));dot((201.6, 85.60000000000001), rgb(1, 0, 0));dot((244.29999999999995, 74.80000000000001), rgb(1, 0, 0));dot((291.2, 71.2), rgb(1, 0, 0));dot((342.8999999999999, 78.39999999999999), rgb(1, 0, 0));dot((399.9999999999999, 99.99999999999997), rgb(1, 0, 0));\u000aclip(box((-0.66667,-0.66667), (400.67,200.67)));\u000a\u005cend{asy}\u000a
p12654
sg15
I2
sass(g1696
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VBlack
p12655
I0
tp12656
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g6
VGraphics[{EdgeForm[Black], Black, Disk[]}, ImageSize->Small]
p12658
sg8
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g11
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sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p12662
sg15
I1
sass(g1696
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tp12663
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p12665
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sg15
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tp12670
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p12676
sg15
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tp12678
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V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.5, 0, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12684
sg15
I1
sass(g1696
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tp12685
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sg8
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V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.7, 0, 0.3), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12691
sg15
I2
sass(g1696
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tp12692
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sg8
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p12698
sg15
I3
sass(g1696
g12579
g12677
I3
tp12699
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g6
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sg8
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g11
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sg13
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sg15
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sass(g1696
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p12712
sg15
I5
sass(g1696
g12579
VBlue
p12713
I0
tp12714
(dp12715
g6
VGraphics[{EdgeForm[Black], Blue, Disk[]}, ImageSize->Small]
p12716
sg8
(lp12717
(dp12718
g11
(lp12719
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(0, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p12720
sg15
I1
sass(g1696
g12579
g12713
I1
tp12721
(dp12722
g6
VBlue // ToBoxes
p12723
sg8
(lp12724
(dp12725
g11
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sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p12727
sg15
I2
sass(g1696
g12579
g12713
I2
tp12728
(dp12729
g6
VBlue
p12730
sg8
(lp12731
(dp12732
g11
(lp12733
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12734
sg15
I3
sass(g1696
g12579
VCMYKColor
p12735
I0
tp12736
(dp12737
g6
VGraphics[MapIndexed[{CMYKColor @@ #1, Disk[2*#2 ~Join~ {0}]} &, IdentityMatrix[4]], ImageSize->Small]
p12738
sg8
(lp12739
(dp12740
g11
(lp12741
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 0.83333cm);\u000afilldraw(ellipse((25,25),25,25), rgb(0, 1, 1), nullpen);\u000afilldraw(ellipse((75,25),25,25), rgb(1, 0, 1), nullpen);\u000afilldraw(ellipse((125,25),25,25), rgb(1, 1, 0), nullpen);\u000afilldraw(ellipse((175,25),25,25), rgb(0, 0, 0), nullpen);\u000aclip(box((0,0), (200,50)));\u000a\u005cend{asy}\u000a
p12742
sg15
I1
sass(g1696
g12579
VCircle
p12743
I0
tp12744
(dp12745
g6
VGraphics[{Red, Circle[{0, 0}, {2, 1}]}]
p12746
sg8
(lp12747
(dp12748
g11
(lp12749
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 3.3167cm);\u000adraw(ellipse((200,100),200,100), rgb(1, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (400.33,199.67)));\u000a\u005cend{asy}\u000a
p12750
sg15
I1
sass(g1696
g12579
g12743
I1
tp12751
(dp12752
g6
VGraphics[{Circle[], Disk[{0, 0}, {1, 1}, {0, 2.1}]}]
p12753
sg8
(lp12754
(dp12755
g11
(lp12756
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8444cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(350,175)--arc((175,175), (350, 175), (86.652, 326.06))--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((-0.33333,0), (350.33,350)));\u000a\u005cend{asy}\u000a
p12757
sg15
I2
sass(g1696
g12579
VColorDistance
p12758
I0
tp12759
(dp12760
g6
VColorDistance[Magenta, Green]
p12761
sg8
(lp12762
(dp12763
g11
(lp12764
sg13
V2.2507
p12765
sg15
I1
sass(g1696
g12579
g12758
I1
tp12766
(dp12767
g6
VColorDistance[{Red, Blue}, {Green, Yellow}, DistanceFunction -> {"CMC", "Perceptibility"}]
p12768
sg8
(lp12769
(dp12770
g11
(lp12771
sg13
V\u005cleft\u005c{1.0495,1.27455\u005cright\u005c}
p12772
sg15
I2
sass(g1696
g12579
VCyan
p12773
I0
tp12774
(dp12775
g6
VGraphics[{EdgeForm[Black], Cyan, Disk[]}, ImageSize->Small]
p12776
sg8
(lp12777
(dp12778
g11
(lp12779
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(0, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p12780
sg15
I1
sass(g1696
g12579
g12773
I1
tp12781
(dp12782
g6
VCyan // ToBoxes
p12783
sg8
(lp12784
(dp12785
g11
(lp12786
sg13
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p12787
sg15
I2
sass(g1696
g12579
g12773
I2
tp12788
(dp12789
g6
VCyan
p12790
sg8
(lp12791
(dp12792
g11
(lp12793
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12794
sg15
I3
sass(g1696
g12579
VDarker
p12795
I0
tp12796
(dp12797
g6
VGraphics[Table[{Darker[Yellow, x], Disk[{12x, 0}]}, {x, 0, 1, 1/6}]]
p12798
sg8
(lp12799
(dp12800
g11
(lp12801
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 0.95238cm);\u000afilldraw(ellipse((28.571,28.571),28.571,28.571), rgb(1, 1, 0), nullpen);\u000afilldraw(ellipse((85.714,28.571),28.571,28.571), rgb(0.83333, 0.83333, 0), nullpen);\u000afilldraw(ellipse((142.86,28.571),28.571,28.571), rgb(0.66667, 0.66667, 0), nullpen);\u000afilldraw(ellipse((200,28.571),28.571,28.571), rgb(0.5, 0.5, 0), nullpen);\u000afilldraw(ellipse((257.14,28.571),28.571,28.571), rgb(0.33333, 0.33333, 0), nullpen);\u000afilldraw(ellipse((314.29,28.571),28.571,28.571), rgb(0.16667, 0.16667, 0), nullpen);\u000afilldraw(ellipse((371.43,28.571),28.571,28.571), rgb(0, 0, 0), nullpen);\u000aclip(box((0,0), (400,57.143)));\u000a\u005cend{asy}\u000a
p12802
sg15
I1
sass(g1696
g12579
VDisk
p12803
I0
tp12804
(dp12805
g6
VGraphics[{Blue, Disk[{0, 0}, {2, 1}]}]
p12806
sg8
(lp12807
(dp12808
g11
(lp12809
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 3.3333cm);\u000afilldraw(ellipse((200,100),200,100), rgb(0, 0, 1), nullpen);\u000aclip(box((0,0), (400,200)));\u000a\u005cend{asy}\u000a
p12810
sg15
I1
sass(g1696
g12579
g12803
I1
tp12811
(dp12812
g6
VGraphics[{EdgeForm[Black], Red, Disk[]}]
p12813
sg8
(lp12814
(dp12815
g11
(lp12816
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8556cm, 5.8333cm);\u000afilldraw(ellipse((175,175),175,175), rgb(1, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (350.33,349.67)));\u000a\u005cend{asy}\u000a
p12817
sg15
I2
sass(g1696
g12579
g12803
I2
tp12818
(dp12819
g6
VGraphics[Disk[{0, 0}, 1, {Pi / 3, 2 Pi / 3}]]
p12820
sg8
(lp12821
(dp12822
g11
(lp12823
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((175,175)--(262.5,326.55)--arc((175,175), (262.5, 326.55), (87.5, 326.55))--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p12824
sg15
I3
sass(g1696
g12579
g12803
I3
tp12825
(dp12826
g6
VGraphics[{Blue, Disk[{0, 0}, {1, 2}, {Pi / 3, 5 Pi / 3}]}]
p12827
sg8
(lp12828
(dp12829
g11
(lp12830
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(2.9167cm, 5.8333cm);\u000afilldraw((87.5,175)--(131.25,326.55)--arc((87.5,175), (131.25, 326.55), (131.25, 23.446))--cycle, rgb(0, 0, 1), nullpen);\u000aclip(box((0,0), (175,350)));\u000a\u005cend{asy}\u000a
p12831
sg15
I4
sass(g1696
g12579
VEdgeForm
p12832
I0
tp12833
(dp12834
g6
VGraphics[{EdgeForm[{Thick, Green}], Disk[]}]
p12835
sg8
(lp12836
(dp12837
g11
(lp12838
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.9229cm, 5.8333cm);\u000afilldraw(ellipse((175,175),175,175), rgb(0, 0, 0), rgb(0, 1, 0)+linewidth(2.6667));\u000aclip(box((-1.3333,1.3333), (351.33,348.67)));\u000a\u005cend{asy}\u000a
p12839
sg15
I1
sass(g1696
g12579
g12832
I1
tp12840
(dp12841
g6
VGraphics[{Style[Disk[],EdgeForm[{Thick,Red}]], Circle[{1,1}]}]
p12842
sg8
(lp12843
(dp12844
g11
(lp12845
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8892cm, 5.8333cm);\u000afilldraw(ellipse((116.67,116.67),116.67,116.67), rgb(0, 0, 0), rgb(1, 0, 0)+linewidth(2.6667));\u000adraw(ellipse((233.33,233.33),116.67,116.67), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-1.3333,1.3333), (350.33,349.67)));\u000a\u005cend{asy}\u000a
p12846
sg15
I2
sass(g1696
g12579
VFilledCurve
p12847
I0
tp12848
(dp12849
g6
VGraphics[FilledCurve[{Line[{{0, 0}, {1, 1}, {2, 0}}]}]]
p12850
sg8
(lp12851
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g11
(lp12853
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 3.3444cm);\u000afill((0,0)--(200,200)--(400,0)--cycle, currentpen);\u000aclip(box((-0.66667,-0.66667), (400.67,200.67)));\u000a\u005cend{asy}\u000a
p12854
sg15
I1
sass(g1696
g12579
g12847
I1
tp12855
(dp12856
g6
VGraphics[FilledCurve[{BezierCurve[{{0, 0}, {1, 1}, {2, 0}}], Line[{{3, 0}, {0, 2}}]}]]
p12857
sg8
(lp12858
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g11
(lp12860
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.4518cm);\u000afill((0,0)..controls(88.889,88.889) and (177.78,88.889)..(266.67,0)--(400,0)--(0,266.67)--cycle, currentpen);\u000aclip(box((-0.66667,-0.66667), (400.67,267.33)));\u000a\u005cend{asy}\u000a
p12861
sg15
I2
sass(g1696
g12579
VGraphics
p12862
I0
tp12863
(dp12864
g6
VGraphics[{Blue, Line[{{0,0}, {1,1}}]}]
p12865
sg8
(lp12866
(dp12867
g11
(lp12868
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000adraw((0,    0)--(350,  350), rgb(0, 0, 1)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p12869
sg15
I1
sass(g1696
g12579
g12862
I1
tp12870
(dp12871
g6
VGraphics[{Rectangle[{1, 1}]}, Axes -> True, PlotRange -> {{-2, 1.5}, {-1, 1.5}}]
p12872
sg8
(lp12873
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g11
(lp12875
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.8381cm);\u000afilldraw((342.86,228.57)--(457.14,228.57)--(457.14,342.86)--(342.86,342.86)--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((-16.667,-14.381), (416.67,300.1)));\u000adraw((-16,114.286)--(416,114.286), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2.0$", (0.0,111.61904761904762), (0,-1), rgb(0, 0, 0));\u000alabel("$-1.5$", (57.142857142857146,111.61904761904762), (0,-1), rgb(0, 0, 0));\u000alabel("$-1.0$", (114.28571428571429,111.61904761904762), (0,-1), rgb(0, 0, 0));\u000alabel("$-0.5$", (171.42857142857142,111.61904761904762), (0,-1), rgb(0, 0, 0));\u000alabel("$0.5$", (285.7142857142857,111.61904761904762), (0,-1), rgb(0, 0, 0));\u000alabel("$1.0$", (342.85714285714283,111.61904761904762), (0,-1), rgb(0, 0, 0));\u000alabel("$1.5$", (400.0,111.61904761904762), (0,-1), rgb(0, 0, 0));\u000adraw((0,114.286)--(0,120.952), rgb(0, 0, 0)+linewidth(0.66667));draw((57.143,114.286)--(57.143,120.952), rgb(0, 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0)+linewidth(0.66667));draw((125.71,114.286)--(125.71,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((137.14,114.286)--(137.14,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((148.57,114.286)--(148.57,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((160,114.286)--(160,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((182.86,114.286)--(182.86,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((194.29,114.286)--(194.29,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((205.71,114.286)--(205.71,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((217.14,114.286)--(217.14,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((240,114.286)--(240,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((251.43,114.286)--(251.43,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((262.86,114.286)--(262.86,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((274.29,114.286)--(274.29,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((297.14,114.286)--(297.14,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((308.57,114.286)--(308.57,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((320,114.286)--(320,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((331.43,114.286)--(331.43,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((354.29,114.286)--(354.29,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((365.71,114.286)--(365.71,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((377.14,114.286)--(377.14,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((388.57,114.286)--(388.57,118.286), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((228.57,-13.7143)--(228.57,299.429), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (225.90476190476193,0.0), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (225.90476190476193,57.142857142857146), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (225.90476190476193,171.42857142857142), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (225.90476190476193,228.57142857142858), (-1,0), rgb(0, 0, 0));\u000alabel("$1.5$", (225.90476190476193,285.7142857142857), (-1,0), rgb(0, 0, 0));\u000adraw((228.57,    0)--(235.24,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,57.1429)--(235.24,57.1429), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,171.429)--(235.24,171.429), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,228.571)--(235.24,228.571), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,285.714)--(235.24,285.714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,11.4286)--(232.57,11.4286), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,22.8571)--(232.57,22.8571), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,34.2857)--(232.57,34.2857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,45.7143)--(232.57,45.7143), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,68.5714)--(232.57,68.5714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,   80)--(232.57,   80), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,91.4286)--(232.57,91.4286), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,102.857)--(232.57,102.857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,125.714)--(232.57,125.714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,137.143)--(232.57,137.143), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,148.571)--(232.57,148.571), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,  160)--(232.57,  160), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,182.857)--(232.57,182.857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,194.286)--(232.57,194.286), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,205.714)--(232.57,205.714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,217.143)--(232.57,217.143), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,  240)--(232.57,  240), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,251.429)--(232.57,251.429), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,262.857)--(232.57,262.857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,274.286)--(232.57,274.286), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p12876
sg15
I2
sass(g1696
g12579
g12862
I2
tp12877
(dp12878
g6
VGraphics[{Rectangle[],Red,Disk[{1,0}]},PlotRange->{{0,1},{0,1}}]
p12879
sg8
(lp12880
(dp12881
g11
(lp12882
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((0,0)--(350,0)--(350,350)--(0,350)--cycle, rgb(0, 0, 0), nullpen);\u000afilldraw(ellipse((350,0),350,350), rgb(1, 0, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p12883
sg15
I3
sass(g1696
g12579
g12862
I3
tp12884
(dp12885
g6
VGraphics[Rectangle[]] // ToBoxes // Head
p12886
sg8
(lp12887
(dp12888
g11
(lp12889
sg13
V\u005ctext{GraphicsBox}
p12890
sg15
I4
sass(g1696
g12579
g12862
I4
tp12891
(dp12892
g6
VGraphics[Circle[]] // TeXForm
p12893
sg8
(lp12894
(dp12895
g11
(lp12896
sg13
V\u005ctext{\u005cnewline\u000a$\u005cbackslash$begin\u005c{asy\u005c}\u005cnewline\u000ausepackage("amsmath");\u005cnewline\u000asize(5.8556cm, 5.8333cm);\u005cnewline\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u005cnewline\u000aclip(box((-0.33333,0.33333), (350.33,349.67)));\u005cnewline\u000a$\u005cbackslash$end\u005c{asy\u005c}\u005cnewline\u000a}
p12897
sg15
I5
sass(g1696
g12579
VGray
p12898
I0
tp12899
(dp12900
g6
VGraphics[{EdgeForm[Black], Gray, Disk[]}, ImageSize->Small]
p12901
sg8
(lp12902
(dp12903
g11
(lp12904
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(0.5, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p12905
sg15
I1
sass(g1696
g12579
g12898
I1
tp12906
(dp12907
g6
VGray // ToBoxes
p12908
sg8
(lp12909
(dp12910
g11
(lp12911
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.5, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p12912
sg15
I2
sass(g1696
g12579
g12898
I2
tp12913
(dp12914
g6
VGray
p12915
sg8
(lp12916
(dp12917
g11
(lp12918
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.5, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12919
sg15
I3
sass(g1696
g12579
VGreen
p12920
I0
tp12921
(dp12922
g6
VGraphics[{EdgeForm[Black], Green, Disk[]}, ImageSize->Small]
p12923
sg8
(lp12924
(dp12925
g11
(lp12926
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p12927
sg15
I1
sass(g1696
g12579
g12920
I1
tp12928
(dp12929
g6
VGreen // ToBoxes
p12930
sg8
(lp12931
(dp12932
g11
(lp12933
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p12934
sg15
I2
sass(g1696
g12579
g12920
I2
tp12935
(dp12936
g6
VGreen
p12937
sg8
(lp12938
(dp12939
g11
(lp12940
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12941
sg15
I3
sass(g1696
g12579
VHue
p12942
I0
tp12943
(dp12944
g6
VGraphics[Table[{EdgeForm[Gray], Hue[h, s], Disk[{12h, 8s}]}, {h, 0, 1, 1/6}, {s, 0, 1, 1/4}]]
p12945
sg8
(lp12946
(dp12947
g11
(lp12948
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.7429cm);\u000afilldraw(ellipse((28.571,28.571),28.571,28.571), rgb(1, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((28.571,85.714),28.571,28.571), rgb(1, 0.75, 0.75), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((28.571,142.86),28.571,28.571), rgb(1, 0.5, 0.5), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((28.571,200),28.571,28.571), rgb(1, 0.25, 0.25), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((28.571,257.14),28.571,28.571), rgb(1, 0, 0), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((85.714,28.571),28.571,28.571), rgb(1, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((85.714,85.714),28.571,28.571), rgb(1, 1, 0.75), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((85.714,142.86),28.571,28.571), rgb(1, 1, 0.5), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((85.714,200),28.571,28.571), rgb(1, 1, 0.25), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((85.714,257.14),28.571,28.571), rgb(1, 1, 0), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.86,28.571),28.571,28.571), rgb(1, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.86,85.714),28.571,28.571), rgb(0.75, 1, 0.75), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.86,142.86),28.571,28.571), rgb(0.5, 1, 0.5), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.86,200),28.571,28.571), rgb(0.25, 1, 0.25), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.86,257.14),28.571,28.571), rgb(0, 1, 0), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((200,28.571),28.571,28.571), rgb(1, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((200,85.714),28.571,28.571), rgb(0.75, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((200,142.86),28.571,28.571), rgb(0.5, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((200,200),28.571,28.571), rgb(0.25, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((200,257.14),28.571,28.571), rgb(0, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((257.14,28.571),28.571,28.571), rgb(1, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((257.14,85.714),28.571,28.571), rgb(0.75, 0.75, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((257.14,142.86),28.571,28.571), rgb(0.5, 0.5, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((257.14,200),28.571,28.571), rgb(0.25, 0.25, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((257.14,257.14),28.571,28.571), rgb(0, 0, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((314.29,28.571),28.571,28.571), rgb(1, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((314.29,85.714),28.571,28.571), rgb(1, 0.75, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((314.29,142.86),28.571,28.571), rgb(1, 0.5, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((314.29,200),28.571,28.571), rgb(1, 0.25, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((314.29,257.14),28.571,28.571), rgb(1, 0, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((371.43,28.571),28.571,28.571), rgb(1, 1, 1), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((371.43,85.714),28.571,28.571), rgb(1, 0.75, 0.75), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((371.43,142.86),28.571,28.571), rgb(1, 0.5, 0.5), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((371.43,200),28.571,28.571), rgb(1, 0.25, 0.25), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000afilldraw(ellipse((371.43,257.14),28.571,28.571), rgb(1, 0, 0), rgb(0.5, 0.5, 0.5)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (400.33,285.38)));\u000a\u005cend{asy}\u000a
p12949
sg15
I1
sass(g1696
g12579
g12942
I1
tp12950
(dp12951
g6
VGraphics[Table[{EdgeForm[{GrayLevel[0, 0.5]}], Hue[(-11+q+10r)/72, 1, 1, 0.6], Disk[(8-r) {Cos[2Pi q/12], Sin[2Pi q/12]}, (8-r)/3]}, {r, 6}, {q, 12}]]
p12952
sg8
(lp12953
(dp12954
g11
(lp12955
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8556cm, 5.8333cm);\u000afilldraw(ellipse((288.67,240.62),43.75,43.75), rgb(1, 0, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((240.62,288.67),43.75,43.75), rgb(1, 0.083333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,306.25),43.75,43.75), rgb(1, 0.16667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((109.38,288.67),43.75,43.75), rgb(1, 0.25, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((61.334,240.62),43.75,43.75), rgb(1, 0.33333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((43.75,175),43.75,43.75), rgb(1, 0.41667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((61.334,109.38),43.75,43.75), rgb(1, 0.5, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((109.38,61.334),43.75,43.75), rgb(1, 0.58333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,43.75),43.75,43.75), rgb(1, 0.66667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((240.62,61.334),43.75,43.75), rgb(1, 0.75, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((288.67,109.38),43.75,43.75), rgb(1, 0.83333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((306.25,175),43.75,43.75), rgb(1, 0.91667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((272.43,231.25),37.5,37.5), rgb(1, 0.83333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((231.25,272.43),37.5,37.5), rgb(1, 0.91667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,287.5),37.5,37.5), rgb(1, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((118.75,272.43),37.5,37.5), rgb(0.91667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((77.572,231.25),37.5,37.5), rgb(0.83333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((62.5,175),37.5,37.5), rgb(0.75, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((77.572,118.75),37.5,37.5), rgb(0.66667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((118.75,77.572),37.5,37.5), rgb(0.58333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,62.5),37.5,37.5), rgb(0.5, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((231.25,77.572),37.5,37.5), rgb(0.41667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((272.43,118.75),37.5,37.5), rgb(0.33333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((287.5,175),37.5,37.5), rgb(0.25, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((256.19,221.88),31.25,31.25), rgb(0.33333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((221.88,256.19),31.25,31.25), rgb(0.25, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,268.75),31.25,31.25), rgb(0.16667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((128.12,256.19),31.25,31.25), rgb(0.083333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((93.81,221.88),31.25,31.25), rgb(0, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((81.25,175),31.25,31.25), rgb(0, 1, 0.083333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((93.81,128.12),31.25,31.25), rgb(0, 1, 0.16667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((128.12,93.81),31.25,31.25), rgb(0, 1, 0.25)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,81.25),31.25,31.25), rgb(0, 1, 0.33333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((221.88,93.81),31.25,31.25), rgb(0, 1, 0.41667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((256.19,128.12),31.25,31.25), rgb(0, 1, 0.5)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((268.75,175),31.25,31.25), rgb(0, 1, 0.58333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((239.95,212.5),25,25), rgb(0, 1, 0.5)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((212.5,239.95),25,25), rgb(0, 1, 0.58333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,250),25,25), rgb(0, 1, 0.66667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((137.5,239.95),25,25), rgb(0, 1, 0.75)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((110.05,212.5),25,25), rgb(0, 1, 0.83333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((100,175),25,25), rgb(0, 1, 0.91667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((110.05,137.5),25,25), rgb(0, 1, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((137.5,110.05),25,25), rgb(0, 0.91667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,100),25,25), rgb(0, 0.83333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((212.5,110.05),25,25), rgb(0, 0.75, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((239.95,137.5),25,25), rgb(0, 0.66667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((250,175),25,25), rgb(0, 0.58333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((223.71,203.12),18.75,18.75), rgb(0, 0.66667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((203.12,223.71),18.75,18.75), rgb(0, 0.58333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,231.25),18.75,18.75), rgb(0, 0.5, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((146.88,223.71),18.75,18.75), rgb(0, 0.41667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((126.29,203.12),18.75,18.75), rgb(0, 0.33333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((118.75,175),18.75,18.75), rgb(0, 0.25, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((126.29,146.88),18.75,18.75), rgb(0, 0.16667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((146.88,126.29),18.75,18.75), rgb(0, 0.083333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,118.75),18.75,18.75), rgb(0, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((203.12,126.29),18.75,18.75), rgb(0.083333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((223.71,146.88),18.75,18.75), rgb(0.16667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((231.25,175),18.75,18.75), rgb(0.25, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((207.48,193.75),12.5,12.5), rgb(0.16667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((193.75,207.48),12.5,12.5), rgb(0.25, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,212.5),12.5,12.5), rgb(0.33333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((156.25,207.48),12.5,12.5), rgb(0.41667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.52,193.75),12.5,12.5), rgb(0.5, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((137.5,175),12.5,12.5), rgb(0.58333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.52,156.25),12.5,12.5), rgb(0.66667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((156.25,142.52),12.5,12.5), rgb(0.75, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,137.5),12.5,12.5), rgb(0.83333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((193.75,142.52),12.5,12.5), rgb(0.91667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((207.48,156.25),12.5,12.5), rgb(1, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((212.5,175),12.5,12.5), rgb(1, 0, 0.91667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (350.33,349.67)));\u000a\u005cend{asy}\u000a
p12956
sg15
I2
sass(g1696
g12579
VLightRed
p12957
I0
tp12958
(dp12959
g6
VGraphics[{EdgeForm[Black], LightRed, Disk[]}, ImageSize->Small]
p12960
sg8
(lp12961
(dp12962
g11
(lp12963
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 0.85, 0.85), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p12964
sg15
I1
sass(g1696
g12579
g12957
I1
tp12965
(dp12966
g6
VLightRed // ToBoxes
p12967
sg8
(lp12968
(dp12969
g11
(lp12970
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 0.85, 0.85), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p12971
sg15
I2
sass(g1696
g12579
VLighter
p12972
I0
tp12973
(dp12974
g6
VLighter[Orange, 1/4]
p12975
sg8
(lp12976
(dp12977
g11
(lp12978
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 0.625, 0.25), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12979
sg15
I1
sass(g1696
g12579
g12972
I1
tp12980
(dp12981
g6
VGraphics[{Lighter[Orange, 1/4], Disk[]}]
p12982
sg8
(lp12983
(dp12984
g11
(lp12985
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw(ellipse((175,175),175,175), rgb(1, 0.625, 0.25), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p12986
sg15
I2
sass(g1696
g12579
g12972
I2
tp12987
(dp12988
g6
VGraphics[Table[{Lighter[Orange, x], Disk[{12x, 0}]}, {x, 0, 1, 1/6}]]
p12989
sg8
(lp12990
(dp12991
g11
(lp12992
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 0.95238cm);\u000afilldraw(ellipse((28.571,28.571),28.571,28.571), rgb(1, 0.5, 0), nullpen);\u000afilldraw(ellipse((85.714,28.571),28.571,28.571), rgb(1, 0.58333, 0.16667), nullpen);\u000afilldraw(ellipse((142.86,28.571),28.571,28.571), rgb(1, 0.66667, 0.33333), nullpen);\u000afilldraw(ellipse((200,28.571),28.571,28.571), rgb(1, 0.75, 0.5), nullpen);\u000afilldraw(ellipse((257.14,28.571),28.571,28.571), rgb(1, 0.83333, 0.66667), nullpen);\u000afilldraw(ellipse((314.29,28.571),28.571,28.571), rgb(1, 0.91667, 0.83333), nullpen);\u000afilldraw(ellipse((371.43,28.571),28.571,28.571), rgb(1, 1, 1), nullpen);\u000aclip(box((0,0), (400,57.143)));\u000a\u005cend{asy}\u000a
p12993
sg15
I3
sass(g1696
g12579
VLine
p12994
I0
tp12995
(dp12996
g6
VGraphics[Line[{{0,1},{0,0},{1,0},{1,1}}]]
p12997
sg8
(lp12998
(dp12999
g11
(lp13000
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000adraw((0,  350)--(0,    0)--(350,    0)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p13001
sg15
I1
sass(g1696
g12579
g12994
I1
tp13002
(dp13003
g6
VGraphics3D[Line[{{0,0,0},{0,1,1},{1,0,0}}]]
p13004
sg8
(lp13005
(dp13006
g11
(lp13007
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(1.3,-2.4,2.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000adraw((0.0,0.0,0.0)--(0.0,1.0,1.0)--(1.0,0.0,0.0), rgb(0, 0, 0)+linewidth(1));\u000adraw(((0,0,0)--(1,0,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,0)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p13008
sg15
I2
sass(g1696
g12579
VMagenta
p13009
I0
tp13010
(dp13011
g6
VGraphics[{EdgeForm[Black], Magenta, Disk[]}, ImageSize->Small]
p13012
sg8
(lp13013
(dp13014
g11
(lp13015
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13016
sg15
I1
sass(g1696
g12579
g13009
I1
tp13017
(dp13018
g6
VMagenta // ToBoxes
p13019
sg8
(lp13020
(dp13021
g11
(lp13022
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13023
sg15
I2
sass(g1696
g12579
g13009
I2
tp13024
(dp13025
g6
VMagenta
p13026
sg8
(lp13027
(dp13028
g11
(lp13029
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 0, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p13030
sg15
I3
sass(g1696
g12579
VOrange
p13031
I0
tp13032
(dp13033
g6
VGraphics[{EdgeForm[Black], Orange, Disk[]}, ImageSize->Small]
p13034
sg8
(lp13035
(dp13036
g11
(lp13037
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 0.5, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13038
sg15
I1
sass(g1696
g12579
g13031
I1
tp13039
(dp13040
g6
VOrange // ToBoxes
p13041
sg8
(lp13042
(dp13043
g11
(lp13044
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 0.5, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13045
sg15
I2
sass(g1696
g12579
VPoint
p13046
I0
tp13047
(dp13048
g6
VGraphics[Point[{0,0}]]
p13049
sg8
(lp13050
(dp13051
g11
(lp13052
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000adot((175.0, 175.0), rgb(0, 0, 0));\u000aclip(box((174.33,174.33), (175.67,175.67)));\u000a\u005cend{asy}\u000a
p13053
sg15
I1
sass(g1696
g12579
g13046
I1
tp13054
(dp13055
g6
VGraphics[Point[Table[{Sin[t], Cos[t]}, {t, 0, 2. Pi, Pi / 15.}]]]
p13056
sg8
(lp13057
(dp13058
g11
(lp13059
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8015cm, 5.8333cm);\u000adot((174.04133168944784, 350.0), rgb(0, 0, 0));dot((210.42587758255576, 346.175830128416), rgb(0, 0, 0));dot((245.22024422771293, 334.8704550874551), rgb(0, 0, 0));dot((276.90375084063066, 316.5779740156158), rgb(0, 0, 0));dot((304.09167614799185, 292.0978561128002), rgb(0, 0, 0));dot((325.5957773517246, 262.5), rgb(0, 0, 0));dot((340.4762220410998, 229.0779740156158), rgb(0, 0, 0));dot((348.0826633788957, 193.29248107183938), rgb(0, 0, 0));dot((348.0826633788957, 156.70751892816062), rgb(0, 0, 0));dot((340.4762220410998, 120.92202598438418), rgb(0, 0, 0));dot((325.5957773517246, 87.49999999999996), rgb(0, 0, 0));dot((304.09167614799185, 57.902143887199806), rgb(0, 0, 0));dot((276.9037508406307, 33.42202598438421), rgb(0, 0, 0));dot((245.22024422771298, 15.129544912544867), rgb(0, 0, 0));dot((210.4258775825558, 3.824169871584024), rgb(0, 0, 0));dot((174.04133168944796, 0.0), rgb(0, 0, 0));dot((137.6567857963401, 3.824169871583985), rgb(0, 0, 0));dot((102.86241915118296, 15.129544912544791), rgb(0, 0, 0));dot((71.17891253826521, 33.4220259843841), rgb(0, 0, 0));dot((43.990987230904, 57.90214388719966), rgb(0, 0, 0));dot((22.48688602717121, 87.49999999999979), rgb(0, 0, 0));dot((7.606441337796037, 120.92202598438402), rgb(0, 0, 0));dot((1.9428902930940243e-14, 156.7075189281605), rgb(0, 0, 0));dot((0.0, 193.2924810718393), rgb(0, 0, 0));dot((7.6064413377959585, 229.07797401561575), rgb(0, 0, 0));dot((22.486886027171092, 262.5), rgb(0, 0, 0));dot((43.9909872309039, 292.09785611280023), rgb(0, 0, 0));dot((71.17891253826514, 316.5779740156159), rgb(0, 0, 0));dot((102.86241915118296, 334.8704550874552), rgb(0, 0, 0));dot((137.6567857963402, 346.175830128416), rgb(0, 0, 0));dot((174.04133168944813, 350.0), rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (348.75,350.67)));\u000a\u005cend{asy}\u000a
p13060
sg15
I2
sass(g1696
g12579
g13046
I2
tp13061
(dp13062
g6
VGraphics3D[Point[Table[{Sin[t], Cos[t], 0}, {t, 0, 2. Pi, Pi / 15.}]]]
p13063
sg8
(lp13064
(dp13065
g11
(lp13066
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(2.6,-4.8,4.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000apath3 g=(0,1,0)--(0.20791,0.97815,0)--(0.40674,0.91355,0)--(0.58779,0.80902,0)--(0.74314,0.66913,0)--(0.86603,0.5,0)--(0.95106,0.30902,0)--(0.99452,0.10453,0)--(0.99452,-0.10453,0)--(0.95106,-0.30902,0)--(0.86603,-0.5,0)--(0.74314,-0.66913,0)--(0.58779,-0.80902,0)--(0.40674,-0.91355,0)--(0.20791,-0.97815,0)--(5.6655e-16,-1,0)--(-0.20791,-0.97815,0)--(-0.40674,-0.91355,0)--(-0.58779,-0.80902,0)--(-0.74314,-0.66913,0)--(-0.86603,-0.5,0)--(-0.95106,-0.30902,0)--(-0.99452,-0.10453,0)--(-0.99452,0.10453,0)--(-0.95106,0.30902,0)--(-0.86603,0.5,0)--(-0.74314,0.66913,0)--(-0.58779,0.80902,0)--(-0.40674,0.91355,0)--(-0.20791,0.97815,0)--(1.5314e-15,1,0)--cycle;dot(g, rgb(0, 0, 0));\u000adraw(((-0.99452,-1,-1)--(0.99452,-1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.99452,1,-1)--(0.99452,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.99452,-1,1)--(0.99452,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.99452,1,1)--(0.99452,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.99452,-1,-1)--(-0.99452,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0.99452,-1,-1)--(0.99452,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.99452,-1,1)--(-0.99452,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0.99452,-1,1)--(0.99452,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.99452,-1,-1)--(-0.99452,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0.99452,-1,-1)--(0.99452,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.99452,1,-1)--(-0.99452,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0.99452,1,-1)--(0.99452,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p13067
sg15
I3
sass(g1696
g12579
VPolygon
p13068
I0
tp13069
(dp13070
g6
VGraphics[Polygon[{{1,0},{0,0},{0,1}}]]
p13071
sg8
(lp13072
(dp13073
g11
(lp13074
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((350,0)--(0,0)--(0,350)--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p13075
sg15
I1
sass(g1696
g12579
g13068
I1
tp13076
(dp13077
g6
VGraphics3D[Polygon[{{0,0,0},{0,1,1},{1,0,0}}]]
p13078
sg8
(lp13079
(dp13080
g11
(lp13081
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(1.3,-2.4,2.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000apath3 g=(0,0,0)--(0,1,1)--(1,0,0)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000adraw(((0,0,0)--(1,0,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,0)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p13082
sg15
I2
sass(g1696
g12579
VPurple
p13083
I0
tp13084
(dp13085
g6
VGraphics[{EdgeForm[Black], Purple, Disk[]}, ImageSize->Small]
p13086
sg8
(lp13087
(dp13088
g11
(lp13089
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(0.5, 0, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13090
sg15
I1
sass(g1696
g12579
g13083
I1
tp13091
(dp13092
g6
VPurple // ToBoxes
p13093
sg8
(lp13094
(dp13095
g11
(lp13096
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.5, 0, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13097
sg15
I2
sass(g1696
g12579
VRGBColor
p13098
I0
tp13099
(dp13100
g6
VGraphics[MapIndexed[{RGBColor @@ #1, Disk[2*#2 ~Join~ {0}]} &, IdentityMatrix[3]], ImageSize->Small]
p13101
sg8
(lp13102
(dp13103
g11
(lp13104
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 1.1111cm);\u000afilldraw(ellipse((33.333,33.333),33.333,33.333), rgb(1, 0, 0), nullpen);\u000afilldraw(ellipse((100,33.333),33.333,33.333), rgb(0, 1, 0), nullpen);\u000afilldraw(ellipse((166.67,33.333),33.333,33.333), rgb(0, 0, 1), nullpen);\u000aclip(box((0,0), (200,66.667)));\u000a\u005cend{asy}\u000a
p13105
sg15
I1
sass(g1696
g12579
g13098
I1
tp13106
(dp13107
g6
VRGBColor[0, 1, 0]
p13108
sg8
(lp13109
(dp13110
g11
(lp13111
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p13112
sg15
I2
sass(g1696
g12579
g13098
I2
tp13113
(dp13114
g6
VRGBColor[0, 1, 0] // ToBoxes
p13115
sg8
(lp13116
(dp13117
g11
(lp13118
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13119
sg15
I3
sass(g1696
g12579
VRectangle
p13120
I0
tp13121
(dp13122
g6
VGraphics[Rectangle[]]
p13123
sg8
(lp13124
(dp13125
g11
(lp13126
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((0,0)--(350,0)--(350,350)--(0,350)--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p13127
sg15
I1
sass(g1696
g12579
g13120
I1
tp13128
(dp13129
g6
VGraphics[{Blue, Rectangle[{0.5, 0}], Orange, Rectangle[{0, 0.5}]}]
p13130
sg8
(lp13131
(dp13132
g11
(lp13133
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((116.67,0)--(350,0)--(350,233.33)--(116.67,233.33)--cycle, rgb(0, 0, 1), nullpen);\u000afilldraw((0,116.67)--(233.33,116.67)--(233.33,350)--(0,350)--cycle, rgb(1, 0.5, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p13134
sg15
I2
sass(g1696
g12579
VRed
p13135
I0
tp13136
(dp13137
g6
VGraphics[{EdgeForm[Black], Red, Disk[]}, ImageSize->Small]
p13138
sg8
(lp13139
(dp13140
g11
(lp13141
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13142
sg15
I1
sass(g1696
g12579
g13135
I1
tp13143
(dp13144
g6
VRed // ToBoxes
p13145
sg8
(lp13146
(dp13147
g11
(lp13148
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13149
sg15
I2
sass(g1696
g12579
g13135
I2
tp13150
(dp13151
g6
VRed
p13152
sg8
(lp13153
(dp13154
g11
(lp13155
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p13156
sg15
I3
sass(g1696
g12579
VRegularPolygon
p13157
I0
tp13158
(dp13159
g6
VGraphics[RegularPolygon[5]]
p13160
sg8
(lp13161
(dp13162
g11
(lp13163
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.1324cm, 5.8333cm);\u000afilldraw((297.73,0)--(368.01,216.31)--(184.01,350)--(0,216.31)--(70.284,2.148e-14)--cycle, rgb(0, 0, 0), nullpen);\u000aclip(box((-0.66667,-0.66667), (368.68,350.67)));\u000a\u005cend{asy}\u000a
p13164
sg15
I1
sass(g1696
g12579
g13157
I1
tp13165
(dp13166
g6
VGraphics[{Yellow, Rectangle[], Orange, RegularPolygon[{1, 1}, {0.25, 0}, 3]}]
p13167
sg8
(lp13168
(dp13169
g11
(lp13170
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.9936cm, 5.8333cm);\u000afilldraw((0,0)--(287.71,0)--(287.71,287.71)--(0,287.71)--cycle, rgb(1, 1, 0), nullpen);\u000afilldraw((359.64,287.71)--(251.75,350)--(251.75,225.42)--cycle, rgb(1, 0.5, 0), nullpen);\u000aclip(box((0,0), (360.3,350.67)));\u000a\u005cend{asy}\u000a
p13171
sg15
I2
sass(g1696
g12579
VText
p13172
I0
tp13173
(dp13174
g6
VGraphics[{Text["First", {0, 0}], Text["Second", {1, 1}]}, Axes->True, PlotRange->{{-2, 2}, {-2, 2}}]
p13175
sg8
(lp13176
(dp13177
g11
(lp13178
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000alabel("$\u005ctext{First}$", (175.0,175.0), (0,0), rgb(0, 0, 0));\u000alabel("$\u005ctext{Second}$", (262.5,262.5), (0,0), rgb(0, 0, 0));\u000aclip(box((-15.667,-15.667), (365.67,365.67)));\u000adraw((-15,  175)--(365,  175), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2$", (0.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$-1$", (87.5,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$1$", (262.5,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (350.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000adraw((0,  175)--(0,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((87.5,  175)--(87.5,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((262.5,  175)--(262.5,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((350,  175)--(350,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((17.5,  175)--(17.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((35,  175)--(35,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((52.5,  175)--(52.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((70,  175)--(70,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((105,  175)--(105,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((122.5,  175)--(122.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((140,  175)--(140,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((157.5,  175)--(157.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((192.5,  175)--(192.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((210,  175)--(210,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((227.5,  175)--(227.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((245,  175)--(245,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((280,  175)--(280,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((297.5,  175)--(297.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((315,  175)--(315,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((332.5,  175)--(332.5,  179), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((175,  -15)--(175,  365), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2$", (172.33333333333334,0.0), (-1,0), rgb(0, 0, 0));\u000alabel("$-1$", (172.33333333333334,87.5), (-1,0), rgb(0, 0, 0));\u000alabel("$1$", (172.33333333333334,262.5), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (172.33333333333334,350.0), (-1,0), rgb(0, 0, 0));\u000adraw((175,    0)--(181.67,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 87.5)--(181.67, 87.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,262.5)--(181.67,262.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  350)--(181.67,  350), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 17.5)--(179, 17.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,   35)--(179,   35), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 52.5)--(179, 52.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,   70)--(179,   70), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  105)--(179,  105), rgb(0, 0, 0)+linewidth(0.66667));draw((175,122.5)--(179,122.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  140)--(179,  140), rgb(0, 0, 0)+linewidth(0.66667));draw((175,157.5)--(179,157.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,192.5)--(179,192.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  210)--(179,  210), rgb(0, 0, 0)+linewidth(0.66667));draw((175,227.5)--(179,227.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  245)--(179,  245), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  280)--(179,  280), rgb(0, 0, 0)+linewidth(0.66667));draw((175,297.5)--(179,297.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  315)--(179,  315), rgb(0, 0, 0)+linewidth(0.66667));draw((175,332.5)--(179,332.5), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p13179
sg15
I1
sass(g1696
g12579
VThickness
p13180
I0
tp13181
(dp13182
g6
VGraphics[{Thickness[0.2], Line[{{0, 0}, {0, 5}}]}, Axes->True, PlotRange->{{-5, 5}, {-5, 5}}]
p13183
sg8
(lp13184
(dp13185
g11
(lp13186
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000adraw((175,  175)--(175,  350), rgb(0, 0, 0)+linewidth(70));\u000aclip(box((-15.667,-15.667), (365.67,365.67)));\u000adraw((-15,  175)--(365,  175), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (35.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (105.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (245.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (315.0,172.33333333333334), (0,-1), rgb(0, 0, 0));\u000adraw((35,  175)--(35,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((105,  175)--(105,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((245,  175)--(245,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((315,  175)--(315,181.667), rgb(0, 0, 0)+linewidth(0.66667));draw((0,  175)--(0,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((17.5,  175)--(17.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((52.5,  175)--(52.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((70,  175)--(70,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((87.5,  175)--(87.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((122.5,  175)--(122.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((140,  175)--(140,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((157.5,  175)--(157.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((192.5,  175)--(192.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((210,  175)--(210,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((227.5,  175)--(227.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((262.5,  175)--(262.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((280,  175)--(280,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((297.5,  175)--(297.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((332.5,  175)--(332.5,  179), rgb(0, 0, 0)+linewidth(0.66667));draw((350,  175)--(350,  179), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((175,  -15)--(175,  365), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (172.33333333333334,35.0), (-1,0), rgb(0, 0, 0));\u000alabel("$-2$", (172.33333333333334,105.0), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (172.33333333333334,245.0), (-1,0), rgb(0, 0, 0));\u000alabel("$4$", (172.33333333333334,315.0), (-1,0), rgb(0, 0, 0));\u000adraw((175,   35)--(181.67,   35), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  105)--(181.67,  105), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  245)--(181.67,  245), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  315)--(181.67,  315), rgb(0, 0, 0)+linewidth(0.66667));draw((175,    0)--(179,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 17.5)--(179, 17.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 52.5)--(179, 52.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,   70)--(179,   70), rgb(0, 0, 0)+linewidth(0.66667));draw((175, 87.5)--(179, 87.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,122.5)--(179,122.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  140)--(179,  140), rgb(0, 0, 0)+linewidth(0.66667));draw((175,157.5)--(179,157.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,192.5)--(179,192.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  210)--(179,  210), rgb(0, 0, 0)+linewidth(0.66667));draw((175,227.5)--(179,227.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,262.5)--(179,262.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  280)--(179,  280), rgb(0, 0, 0)+linewidth(0.66667));draw((175,297.5)--(179,297.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,332.5)--(179,332.5), rgb(0, 0, 0)+linewidth(0.66667));draw((175,  350)--(179,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p13187
sg15
I1
sass(g1696
g12579
VWhite
p13188
I0
tp13189
(dp13190
g6
VGraphics[{EdgeForm[Black], White, Disk[]}, ImageSize->Small]
p13191
sg8
(lp13192
(dp13193
g11
(lp13194
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13195
sg15
I1
sass(g1696
g12579
g13188
I1
tp13196
(dp13197
g6
VWhite // ToBoxes
p13198
sg8
(lp13199
(dp13200
g11
(lp13201
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13202
sg15
I2
sass(g1696
g12579
g13188
I2
tp13203
(dp13204
g6
VWhite
p13205
sg8
(lp13206
(dp13207
g11
(lp13208
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p13209
sg15
I3
sass(g1696
g12579
VYellow
p13210
I0
tp13211
(dp13212
g6
VGraphics[{EdgeForm[Black], Yellow, Disk[]}, ImageSize->Small]
p13213
sg8
(lp13214
(dp13215
g11
(lp13216
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13217
sg15
I1
sass(g1696
g12579
g13210
I1
tp13218
(dp13219
g6
VYellow // ToBoxes
p13220
sg8
(lp13221
(dp13222
g11
(lp13223
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright],\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13224
sg15
I2
sass(g1696
g12579
g13210
I2
tp13225
(dp13226
g6
VYellow
p13227
sg8
(lp13228
(dp13229
g11
(lp13230
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p13231
sg15
I3
sass(g1696
VManipulate
p13232
VManipulate
p13233
I0
tp13234
(dp13235
g6
VManipulate[N[Sin[y]], {y, 1, 20, 2}]
p13236
sg8
(lp13237
(dp13238
g11
(lp13239
(dp13240
g149
I01
sg150
VManipulate
p13241
sg152
Vjupyter
p13242
sg154
VManipulate::jupyter
p13243
sg156
VManipulate[] only works inside a Jupyter notebook.
p13244
sasg13
V\u005ctext{Manipulate}\u005cleft[N\u005cleft[\u005ctext{Sin}\u005cleft[y\u005cright]\u005cright],\u005cleft\u005c{y,1,20,2\u005cright\u005c}\u005cright]
p13245
sg15
I1
sass(g1696
g13232
g13233
I1
tp13246
(dp13247
g6
VManipulate[i ^ 3, {i, {2, x ^ 4, a}}]
p13248
sg8
(lp13249
(dp13250
g11
(lp13251
(dp13252
g149
I01
sg150
VManipulate
p13253
sg152
g13242
sg154
VManipulate::jupyter
p13254
sg156
g13244
sasg13
V\u005ctext{Manipulate}\u005cleft[i^3,\u005cleft\u005c{i,\u005cleft\u005c{2,x^4,a\u005cright\u005c}\u005cright\u005c}\u005cright]
p13255
sg15
I2
sass(g1696
g13232
g13233
I2
tp13256
(dp13257
g6
VManipulate[x ^ y, {x, 1, 20}, {y, 1, 3}]
p13258
sg8
(lp13259
(dp13260
g11
(lp13261
(dp13262
g149
I01
sg150
VManipulate
p13263
sg152
g13242
sg154
VManipulate::jupyter
p13264
sg156
g13244
sasg13
V\u005ctext{Manipulate}\u005cleft[x^y,\u005cleft\u005c{x,1,20\u005cright\u005c},\u005cleft\u005c{y,1,3\u005cright\u005c}\u005cright]
p13265
sg15
I3
sass(g1696
g13232
g13233
I3
tp13266
(dp13267
g6
VManipulate[N[1 / x], {{x, 1}, 0, 2}]
p13268
sg8
(lp13269
(dp13270
g11
(lp13271
(dp13272
g149
I01
sg150
VManipulate
p13273
sg152
g13242
sg154
VManipulate::jupyter
p13274
sg156
g13244
sasg13
V\u005ctext{Manipulate}\u005cleft[N\u005cleft[\u005cfrac{1}{x}\u005cright],\u005cleft\u005c{\u005cleft\u005c{x,1\u005cright\u005c},0,2\u005cright\u005c}\u005cright]
p13275
sg15
I4
sass(g1696
g13232
g13233
I4
tp13276
(dp13277
g6
VManipulate[N[1 / x], {{x, 1}, 0, 2, 0.1}]
p13278
sg8
(lp13279
(dp13280
g11
(lp13281
(dp13282
g149
I01
sg150
VManipulate
p13283
sg152
g13242
sg154
VManipulate::jupyter
p13284
sg156
g13244
sasg13
V\u005ctext{Manipulate}\u005cleft[N\u005cleft[\u005cfrac{1}{x}\u005cright],\u005cleft\u005c{\u005cleft\u005c{x,1\u005cright\u005c},0,2,0.1\u005cright\u005c}\u005cright]
p13285
sg15
I5
sass(g1696
VNumber theoretic functions
p13286
VContinuedFraction
p13287
I0
tp13288
(dp13289
g6
VContinuedFraction[Pi, 10]
p13290
sg8
(lp13291
(dp13292
g11
(lp13293
sg13
V\u005cleft\u005c{3,7,15,1,292,1,1,1,2,1\u005cright\u005c}
p13294
sg15
I1
sass(g1696
g13286
g13287
I1
tp13295
(dp13296
g6
VContinuedFraction[(1 + 2 Sqrt[3])/5]
p13297
sg8
(lp13298
(dp13299
g11
(lp13300
sg13
V\u005cleft\u005c{0,1,\u005cleft\u005c{8,3,34,3\u005cright\u005c}\u005cright\u005c}
p13301
sg15
I2
sass(g1696
g13286
g13287
I2
tp13302
(dp13303
g6
VContinuedFraction[Sqrt[70]]
p13304
sg8
(lp13305
(dp13306
g11
(lp13307
sg13
V\u005cleft\u005c{8,\u005cleft\u005c{2,1,2,1,2,16\u005cright\u005c}\u005cright\u005c}
p13308
sg15
I3
sass(g1696
g13286
VCoprimeQ
p13309
I0
tp13310
(dp13311
g6
VCoprimeQ[7, 9]
p13312
sg8
(lp13313
(dp13314
g11
(lp13315
sg13
V\u005ctext{True}
p13316
sg15
I1
sass(g1696
g13286
g13309
I1
tp13317
(dp13318
g6
VCoprimeQ[-4, 9]
p13319
sg8
(lp13320
(dp13321
g11
(lp13322
sg13
V\u005ctext{True}
p13323
sg15
I2
sass(g1696
g13286
g13309
I2
tp13324
(dp13325
g6
VCoprimeQ[12, 15]
p13326
sg8
(lp13327
(dp13328
g11
(lp13329
sg13
V\u005ctext{False}
p13330
sg15
I3
sass(g1696
g13286
g13309
I3
tp13331
(dp13332
g6
VCoprimeQ[1+2I, 1-I]
p13333
sg8
(lp13334
(dp13335
g11
(lp13336
sg13
V\u005ctext{True}
p13337
sg15
I4
sass(g1696
g13286
g13309
I4
tp13338
(dp13339
g6
VCoprimeQ[4+2I, 6+3I]
p13340
sg8
(lp13341
(dp13342
g11
(lp13343
sg13
V\u005ctext{True}
p13344
sg15
I5
sass(g1696
g13286
g13309
I5
tp13345
(dp13346
g6
VCoprimeQ[2, 3, 5]
p13347
sg8
(lp13348
(dp13349
g11
(lp13350
sg13
V\u005ctext{True}
p13351
sg15
I6
sass(g1696
g13286
g13309
I6
tp13352
(dp13353
g6
VCoprimeQ[2, 4, 5]
p13354
sg8
(lp13355
(dp13356
g11
(lp13357
sg13
V\u005ctext{False}
p13358
sg15
I7
sass(g1696
g13286
VDivisors
p13359
I0
tp13360
(dp13361
g6
VDivisors[96]
p13362
sg8
(lp13363
(dp13364
g11
(lp13365
sg13
V\u005cleft\u005c{1,2,3,4,6,8,12,16,24,32,48,96\u005cright\u005c}
p13366
sg15
I1
sass(g1696
g13286
g13359
I1
tp13367
(dp13368
g6
VDivisors[704]
p13369
sg8
(lp13370
(dp13371
g11
(lp13372
sg13
V\u005cleft\u005c{1,2,4,8,11,16,22,32,44,64,88,176,352,704\u005cright\u005c}
p13373
sg15
I2
sass(g1696
g13286
g13359
I2
tp13374
(dp13375
g6
VDivisors[{87, 106, 202, 305}]
p13376
sg8
(lp13377
(dp13378
g11
(lp13379
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,3,29,87\u005cright\u005c},\u005cleft\u005c{1,2,53,106\u005cright\u005c},\u005cleft\u005c{1,2,101,202\u005cright\u005c},\u005cleft\u005c{1,5,61,305\u005cright\u005c}\u005cright\u005c}
p13380
sg15
I3
sass(g1696
g13286
VEvenQ
p13381
I0
tp13382
(dp13383
g6
VEvenQ[4]
p13384
sg8
(lp13385
(dp13386
g11
(lp13387
sg13
V\u005ctext{True}
p13388
sg15
I1
sass(g1696
g13286
g13381
I1
tp13389
(dp13390
g6
VEvenQ[-3]
p13391
sg8
(lp13392
(dp13393
g11
(lp13394
sg13
V\u005ctext{False}
p13395
sg15
I2
sass(g1696
g13286
g13381
I2
tp13396
(dp13397
g6
VEvenQ[n]
p13398
sg8
(lp13399
(dp13400
g11
(lp13401
sg13
V\u005ctext{False}
p13402
sg15
I3
sass(g1696
g13286
VFactorInteger
p13403
I0
tp13404
(dp13405
g6
Vfactors = FactorInteger[2010]
p13406
sg8
(lp13407
(dp13408
g11
(lp13409
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{3,1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c},\u005cleft\u005c{67,1\u005cright\u005c}\u005cright\u005c}
p13410
sg15
I1
sass(g1696
g13286
g13403
I1
tp13411
(dp13412
g6
VTimes @@ Power @@@ factors
p13413
sg8
(lp13414
(dp13415
g11
(lp13416
sg13
V2010
p13417
sg15
I2
sass(g1696
g13286
g13403
I2
tp13418
(dp13419
g6
VFactorInteger[2010 / 2011]
p13420
sg8
(lp13421
(dp13422
g11
(lp13423
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{3,1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c},\u005cleft\u005c{67,1\u005cright\u005c},\u005cleft\u005c{2011,-1\u005cright\u005c}\u005cright\u005c}
p13424
sg15
I3
sass(g1696
g13286
VFractionalPart
p13425
I0
tp13426
(dp13427
g6
VFractionalPart[4.1]
p13428
sg8
(lp13429
(dp13430
g11
(lp13431
sg13
V0.1
p13432
sg15
I1
sass(g1696
g13286
g13425
I1
tp13433
(dp13434
g6
VFractionalPart[-5.25]
p13435
sg8
(lp13436
(dp13437
g11
(lp13438
sg13
V-0.25
p13439
sg15
I2
sass(g1696
g13286
VFromContinuedFraction
p13440
I0
tp13441
(dp13442
g6
VFromContinuedFraction[{3, 7, 15, 1, 292, 1, 1, 1, 2, 1}]
p13443
sg8
(lp13444
(dp13445
g11
(lp13446
sg13
V\u005cfrac{1146408}{364913}
p13447
sg15
I1
sass(g1696
g13286
g13440
I1
tp13448
(dp13449
g6
VFromContinuedFraction[Range[5]]
p13450
sg8
(lp13451
(dp13452
g11
(lp13453
sg13
V\u005cfrac{225}{157}
p13454
sg15
I2
sass(g1696
g13286
VGCD
p13455
I0
tp13456
(dp13457
g6
VGCD[20, 30]
p13458
sg8
(lp13459
(dp13460
g11
(lp13461
sg13
V10
p13462
sg15
I1
sass(g1696
g13286
g13455
I1
tp13463
(dp13464
g6
VGCD[10, y]
p13465
sg8
(lp13466
(dp13467
g11
(lp13468
sg13
V\u005ctext{GCD}\u005cleft[10,y\u005cright]
p13469
sg15
I2
sass(g1696
g13286
g13455
I2
tp13470
(dp13471
g6
VGCD[4, {10, 11, 12, 13, 14}]
p13472
sg8
(lp13473
(dp13474
g11
(lp13475
sg13
V\u005cleft\u005c{2,1,4,1,2\u005cright\u005c}
p13476
sg15
I3
sass(g1696
g13286
VIntegerExponent
p13477
I0
tp13478
(dp13479
g6
VIntegerExponent[16, 2]
p13480
sg8
(lp13481
(dp13482
g11
(lp13483
sg13
V4
p13484
sg15
I1
sass(g1696
g13286
g13477
I1
tp13485
(dp13486
g6
VIntegerExponent[-510000]
p13487
sg8
(lp13488
(dp13489
g11
(lp13490
sg13
V4
p13491
sg15
I2
sass(g1696
g13286
g13477
I2
tp13492
(dp13493
g6
VIntegerExponent[10, b]
p13494
sg8
(lp13495
(dp13496
g11
(lp13497
sg13
V\u005ctext{IntegerExponent}\u005cleft[10,b\u005cright]
p13498
sg15
I3
sass(g1696
g13286
VLCM
p13499
I0
tp13500
(dp13501
g6
VLCM[15, 20]
p13502
sg8
(lp13503
(dp13504
g11
(lp13505
sg13
V60
p13506
sg15
I1
sass(g1696
g13286
g13499
I1
tp13507
(dp13508
g6
VLCM[20, 30, 40, 50]
p13509
sg8
(lp13510
(dp13511
g11
(lp13512
sg13
V600
p13513
sg15
I2
sass(g1696
g13286
VMantissaExponent
p13514
I0
tp13515
(dp13516
g6
VMantissaExponent[2.5*10^20]
p13517
sg8
(lp13518
(dp13519
g11
(lp13520
sg13
V\u005cleft\u005c{0.25,21\u005cright\u005c}
p13521
sg15
I1
sass(g1696
g13286
g13514
I1
tp13522
(dp13523
g6
VMantissaExponent[125.24]
p13524
sg8
(lp13525
(dp13526
g11
(lp13527
sg13
V\u005cleft\u005c{0.12524,3\u005cright\u005c}
p13528
sg15
I2
sass(g1696
g13286
g13514
I2
tp13529
(dp13530
g6
VMantissaExponent[125., 2]
p13531
sg8
(lp13532
(dp13533
g11
(lp13534
sg13
V\u005cleft\u005c{0.976563,7\u005cright\u005c}
p13535
sg15
I3
sass(g1696
g13286
g13514
I3
tp13536
(dp13537
g6
VMantissaExponent[10, b]
p13538
sg8
(lp13539
(dp13540
g11
(lp13541
sg13
V\u005ctext{MantissaExponent}\u005cleft[10,b\u005cright]
p13542
sg15
I4
sass(g1696
g13286
VMod
p13543
I0
tp13544
(dp13545
g6
VMod[14, 6]
p13546
sg8
(lp13547
(dp13548
g11
(lp13549
sg13
V2
p13550
sg15
I1
sass(g1696
g13286
g13543
I1
tp13551
(dp13552
g6
VMod[-3, 4]
p13553
sg8
(lp13554
(dp13555
g11
(lp13556
sg13
V1
p13557
sg15
I2
sass(g1696
g13286
g13543
I2
tp13558
(dp13559
g6
VMod[-3, -4]
p13560
sg8
(lp13561
(dp13562
g11
(lp13563
sg13
V-3
p13564
sg15
I3
sass(g1696
g13286
g13543
I3
tp13565
(dp13566
g6
VMod[5, 0]
p13567
sg8
(lp13568
(dp13569
g11
(lp13570
(dp13571
g149
I01
sg150
VMod
p13572
sg152
Vdivz
p13573
sg154
VMod::divz
p13574
sg156
VThe argument 0 should be nonzero.
p13575
sasg13
V\u005ctext{Mod}\u005cleft[5,0\u005cright]
p13576
sg15
I4
sass(g1696
g13286
VNextPrime
p13577
I0
tp13578
(dp13579
g6
VNextPrime[10000]
p13580
sg8
(lp13581
(dp13582
g11
(lp13583
sg13
V10007
p13584
sg15
I1
sass(g1696
g13286
g13577
I1
tp13585
(dp13586
g6
VNextPrime[100, -5]
p13587
sg8
(lp13588
(dp13589
g11
(lp13590
sg13
V73
p13591
sg15
I2
sass(g1696
g13286
g13577
I2
tp13592
(dp13593
g6
VNextPrime[10, -5]
p13594
sg8
(lp13595
(dp13596
g11
(lp13597
sg13
V-2
p13598
sg15
I3
sass(g1696
g13286
g13577
I3
tp13599
(dp13600
g6
VNextPrime[100, 5]
p13601
sg8
(lp13602
(dp13603
g11
(lp13604
sg13
V113
p13605
sg15
I4
sass(g1696
g13286
g13577
I4
tp13606
(dp13607
g6
VNextPrime[5.5, 100]
p13608
sg8
(lp13609
(dp13610
g11
(lp13611
sg13
V563
p13612
sg15
I5
sass(g1696
g13286
g13577
I5
tp13613
(dp13614
g6
VNextPrime[5, 10.5]
p13615
sg8
(lp13616
(dp13617
g11
(lp13618
sg13
V\u005ctext{NextPrime}\u005cleft[5,10.5\u005cright]
p13619
sg15
I6
sass(g1696
g13286
VOddQ
p13620
I0
tp13621
(dp13622
g6
VOddQ[-3]
p13623
sg8
(lp13624
(dp13625
g11
(lp13626
sg13
V\u005ctext{True}
p13627
sg15
I1
sass(g1696
g13286
g13620
I1
tp13628
(dp13629
g6
VOddQ[0]
p13630
sg8
(lp13631
(dp13632
g11
(lp13633
sg13
V\u005ctext{False}
p13634
sg15
I2
sass(g1696
g13286
VPowerMod
p13635
I0
tp13636
(dp13637
g6
VPowerMod[2, 10000000, 3]
p13638
sg8
(lp13639
(dp13640
g11
(lp13641
sg13
V1
p13642
sg15
I1
sass(g1696
g13286
g13635
I1
tp13643
(dp13644
g6
VPowerMod[3, -2, 10]
p13645
sg8
(lp13646
(dp13647
g11
(lp13648
sg13
V9
p13649
sg15
I2
sass(g1696
g13286
g13635
I2
tp13650
(dp13651
g6
VPowerMod[0, -1, 2]
p13652
sg8
(lp13653
(dp13654
g11
(lp13655
(dp13656
g149
I01
sg150
VPowerMod
p13657
sg152
Vninv
p13658
sg154
VPowerMod::ninv
p13659
sg156
V0 is not invertible modulo 2.
p13660
sasg13
V\u005ctext{PowerMod}\u005cleft[0,-1,2\u005cright]
p13661
sg15
I3
sass(g1696
g13286
g13635
I3
tp13662
(dp13663
g6
VPowerMod[5, 2, 0]
p13664
sg8
(lp13665
(dp13666
g11
(lp13667
(dp13668
g149
I01
sg150
VPowerMod
p13669
sg152
g13573
sg154
VPowerMod::divz
p13670
sg156
VThe argument 0 should be nonzero.
p13671
sasg13
V\u005ctext{PowerMod}\u005cleft[5,2,0\u005cright]
p13672
sg15
I4
sass(g1696
g13286
VPrime
p13673
I0
tp13674
(dp13675
g6
VPrime[1]
p13676
sg8
(lp13677
(dp13678
g11
(lp13679
sg13
V2
p13680
sg15
I1
sass(g1696
g13286
g13673
I1
tp13681
(dp13682
g6
VPrime[167]
p13683
sg8
(lp13684
(dp13685
g11
(lp13686
sg13
V991
p13687
sg15
I2
sass(g1696
g13286
VPrimePi
p13688
I0
tp13689
(dp13690
g6
VPrimePi[100]
p13691
sg8
(lp13692
(dp13693
g11
(lp13694
sg13
V25
p13695
sg15
I1
sass(g1696
g13286
g13688
I1
tp13696
(dp13697
g6
VPrimePi[-1]
p13698
sg8
(lp13699
(dp13700
g11
(lp13701
sg13
V0
p13702
sg15
I2
sass(g1696
g13286
g13688
I2
tp13703
(dp13704
g6
VPrimePi[3.5]
p13705
sg8
(lp13706
(dp13707
g11
(lp13708
sg13
V2
p13709
sg15
I3
sass(g1696
g13286
g13688
I3
tp13710
(dp13711
g6
VPrimePi[E]
p13712
sg8
(lp13713
(dp13714
g11
(lp13715
sg13
V1
p13716
sg15
I4
sass(g1696
g13286
VPrimePowerQ
p13717
I0
tp13718
(dp13719
g6
VPrimePowerQ[9]
p13720
sg8
(lp13721
(dp13722
g11
(lp13723
sg13
V\u005ctext{True}
p13724
sg15
I1
sass(g1696
g13286
g13717
I1
tp13725
(dp13726
g6
VPrimePowerQ[52142]
p13727
sg8
(lp13728
(dp13729
g11
(lp13730
sg13
V\u005ctext{False}
p13731
sg15
I2
sass(g1696
g13286
g13717
I2
tp13732
(dp13733
g6
VPrimePowerQ[-8]
p13734
sg8
(lp13735
(dp13736
g11
(lp13737
sg13
V\u005ctext{True}
p13738
sg15
I3
sass(g1696
g13286
g13717
I3
tp13739
(dp13740
g6
VPrimePowerQ[371293]
p13741
sg8
(lp13742
(dp13743
g11
(lp13744
sg13
V\u005ctext{True}
p13745
sg15
I4
sass(g1696
g13286
VPrimeQ
p13746
I0
tp13747
(dp13748
g6
VPrimeQ[2]
p13749
sg8
(lp13750
(dp13751
g11
(lp13752
sg13
V\u005ctext{True}
p13753
sg15
I1
sass(g1696
g13286
g13746
I1
tp13754
(dp13755
g6
VPrimeQ[-3]
p13756
sg8
(lp13757
(dp13758
g11
(lp13759
sg13
V\u005ctext{True}
p13760
sg15
I2
sass(g1696
g13286
g13746
I2
tp13761
(dp13762
g6
VPrimeQ[137]
p13763
sg8
(lp13764
(dp13765
g11
(lp13766
sg13
V\u005ctext{True}
p13767
sg15
I3
sass(g1696
g13286
g13746
I3
tp13768
(dp13769
g6
VPrimeQ[2 ^ 127 - 1]
p13770
sg8
(lp13771
(dp13772
g11
(lp13773
sg13
V\u005ctext{True}
p13774
sg15
I4
sass(g1696
g13286
g13746
I6
tp13775
(dp13776
g6
VSelect[Range[100], PrimeQ]
p13777
sg8
(lp13778
(dp13779
g11
(lp13780
sg13
V\u005cleft\u005c{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97\u005cright\u005c}
p13781
sg15
I5
sass(g1696
g13286
g13746
I7
tp13782
(dp13783
g6
VPrimeQ[Range[20]]
p13784
sg8
(lp13785
(dp13786
g11
(lp13787
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{True},\u005ctext{False}\u005cright\u005c}
p13788
sg15
I6
sass(g1696
g13286
VQuotient
p13789
I0
tp13790
(dp13791
g6
VQuotient[23, 7]
p13792
sg8
(lp13793
(dp13794
g11
(lp13795
sg13
V3
p13796
sg15
I1
sass(g1696
g13286
VQuotientRemainder
p13797
I0
tp13798
(dp13799
g6
VQuotientRemainder[23, 7]
p13800
sg8
(lp13801
(dp13802
g11
(lp13803
sg13
V\u005cleft\u005c{3,2\u005cright\u005c}
p13804
sg15
I1
sass(g1696
g13286
VRandomPrime
p13805
I0
tp13806
(dp13807
g6
VRandomPrime[{14, 17}]
p13808
sg8
(lp13809
(dp13810
g11
(lp13811
sg13
V17
p13812
sg15
I1
sass(g1696
g13286
g13805
I1
tp13813
(dp13814
g6
VRandomPrime[{14, 16}, 1]
p13815
sg8
(lp13816
(dp13817
g11
(lp13818
(dp13819
g149
I01
sg150
VRandomPrime
p13820
sg152
Vnoprime
p13821
sg154
VRandomPrime::noprime
p13822
sg156
VThere are no primes in the specified interval.
p13823
sasg13
V\u005ctext{RandomPrime}\u005cleft[\u005cleft\u005c{14,16\u005cright\u005c},1\u005cright]
p13824
sg15
I2
sass(g1696
g13286
g13805
I2
tp13825
(dp13826
g6
VRandomPrime[{8,12}, 3]
p13827
sg8
(lp13828
(dp13829
g11
(lp13830
sg13
V\u005cleft\u005c{11,11,11\u005cright\u005c}
p13831
sg15
I3
sass(g1696
g13286
g13805
I3
tp13832
(dp13833
g6
VRandomPrime[{10,30}, {2,5}]
p13834
sg8
(lp13835
(dp13836
g11
(lp13837
sg13
V\u005cleft\u005c{\u005cleft\u005c{11,11,11,11,11\u005cright\u005c},\u005cleft\u005c{11,11,11,11,11\u005cright\u005c}\u005cright\u005c}
p13838
sg15
I4
sass(g1696
VXML
p13839
VXML`PlaintextImport
p13840
I0
tp13841
(dp13842
g6
VStringReplace[StringTake[Import["ExampleData/InventionNo1.xml", "Plaintext"],31],FromCharacterCode[10]->"/"]
p13843
sg8
(lp13844
(dp13845
g11
(lp13846
sg13
V\u005ctext{MuseScore 1.2/2012-09-12/5.7/40}
p13847
sg15
I1
sass(g1696
g13839
VXML`TagsImport
p13848
I0
tp13849
(dp13850
g6
VTake[Import["ExampleData/InventionNo1.xml", "Tags"], 10]
p13851
sg8
(lp13852
(dp13853
g11
(lp13854
sg13
V\u005cleft\u005c{\u005ctext{accidental},\u005ctext{alter},\u005ctext{arpeggiate},\u005ctext{articulations},\u005ctext{attributes},\u005ctext{backup},\u005ctext{bar-style},\u005ctext{barline},\u005ctext{beam},\u005ctext{beat-type}\u005cright\u005c}
p13855
sg15
I1
sass(g1696
g13839
VXML`Parser`XMLGetString
p13856
I0
tp13857
(dp13858
g6
VHead[XML`Parser`XMLGetString["<a></a>"]]
p13859
sg8
(lp13860
(dp13861
g11
(lp13862
sg13
V\u005ctext{XMLObject}\u005cleft[\u005ctext{Document}\u005cright]
p13863
sg15
I1
sass(g1696
g13839
VXML`XMLObjectImport
p13864
I0
tp13865
(dp13866
g6
VPart[Import["ExampleData/InventionNo1.xml", "XMLObject"], 2, 3, 1]
p13867
sg8
(lp13868
(dp13869
g11
(lp13870
sg13
V\u005ctext{XMLElement}\u005cleft[\u005ctext{identification},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{XMLElement}\u005cleft[\u005ctext{encoding},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{XMLElement}\u005cleft[\u005ctext{software},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{MuseScore 1.2}\u005cright\u005c}\u005cright],\u005ctext{XMLElement}\u005cleft[\u005ctext{encoding-date},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{2012-09-12}\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright]
p13871
sg15
I1
sass(g1696
g13839
g13864
I1
tp13872
(dp13873
g6
VPart[Import["ExampleData/Namespaces.xml"], 2]
p13874
sg8
(lp13875
(dp13876
g11
(lp13877
sg13
V\u005ctext{XMLElement}\u005cleft[\u005ctext{book},\u005cleft\u005c{\u005cleft\u005c{\u005ctext{http://www.w3.org/2000/xmlns/},\u005ctext{xmlns}\u005cright\u005c}->\u005ctext{urn:loc.gov:books}\u005cright\u005c},\u005cleft\u005c{\u005ctext{XMLElement}\u005cleft[\u005ctext{title},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{Cheaper by the Dozen}\u005cright\u005c}\u005cright],\u005ctext{XMLElement}\u005cleft[\u005cleft\u005c{\u005ctext{urn:ISBN:0-395-36341-6},\u005ctext{number}\u005cright\u005c},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{1568491379}\u005cright\u005c}\u005cright],\u005ctext{XMLElement}\u005cleft[\u005ctext{notes},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{XMLElement}\u005cleft[\u005ctext{p},\u005cleft\u005c{\u005cleft\u005c{\u005ctext{http://www.w3.org/2000/xmlns/},\u005ctext{xmlns}\u005cright\u005c}->\u005ctext{http://www.w3.org/1999/xhtml}\u005cright\u005c},\u005cleft\u005c{\u005ctext{This is a},\u005ctext{XMLElement}\u005cleft[\u005ctext{i},\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{\u005ctext{funny},\u005ctext{book!}\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright]
p13878
sg15
I2
sass(g1696
VDifferential Equations
p13879
VDSolve
p13880
I0
tp13881
(dp13882
g6
VDSolve[y''[x] == 0, y[x], x]
p13883
sg8
(lp13884
(dp13885
g11
(lp13886
sg13
V\u005cleft\u005c{\u005cleft\u005c{y\u005cleft[x\u005cright]->x C\u005cleft[2\u005cright]+C\u005cleft[1\u005cright]\u005cright\u005c}\u005cright\u005c}
p13887
sg15
I1
sass(g1696
g13879
g13880
I1
tp13888
(dp13889
g6
VDSolve[y''[x] == y[x], y[x], x]
p13890
sg8
(lp13891
(dp13892
g11
(lp13893
sg13
V\u005cleft\u005c{\u005cleft\u005c{y\u005cleft[x\u005cright]->C\u005cleft[1\u005cright] E^{-x}+C\u005cleft[2\u005cright] E^x\u005cright\u005c}\u005cright\u005c}
p13894
sg15
I2
sass(g1696
g13879
g13880
I2
tp13895
(dp13896
g6
VDSolve[y''[x] == y[x], y, x]
p13897
sg8
(lp13898
(dp13899
g11
(lp13900
sg13
V\u005cleft\u005c{\u005cleft\u005c{y->\u005cleft(\u005ctext{Function}\u005cleft[\u005cleft\u005c{x\u005cright\u005c},C\u005cleft[1\u005cright] E^{-x}+C\u005cleft[2\u005cright] E^x\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p13901
sg15
I3
sass(g1696
g13879
g13880
I3
tp13902
(dp13903
g6
VDSolve[D[f[x, y], x] / f[x, y] + 3 D[f[x, y], y] / f[x, y] == 2, f, {x, y}]
p13904
sg8
(lp13905
(dp13906
g11
(lp13907
sg13
V\u005cleft\u005c{\u005cleft\u005c{f->\u005cleft(\u005ctext{Function}\u005cleft[\u005cleft\u005c{x,y\u005cright\u005c},E^{\u005cfrac{x}{5}+\u005cfrac{3 y}{5}} C\u005cleft[1\u005cright]\u005cleft[3 x-y\u005cright]\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p13908
sg15
I4
sass(g1696
g13879
g13880
I4
tp13909
(dp13910
g6
VDSolve[D[f[x, y], x] x + D[f[x, y], y] y == 2, f[x, y], {x, y}]
p13911
sg8
(lp13912
(dp13913
g11
(lp13914
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[x,y\u005cright]->2 \u005ctext{Log}\u005cleft[x\u005cright]+C\u005cleft[1\u005cright]\u005cleft[\u005cfrac{y}{x}\u005cright]\u005cright\u005c}\u005cright\u005c}
p13915
sg15
I5
sass(g1696
g13879
g13880
I5
tp13916
(dp13917
g6
VDSolve[D[y[x, t], t] + 2 D[y[x, t], x] == 0, y[x, t], {x, t}]
p13918
sg8
(lp13919
(dp13920
g11
(lp13921
sg13
V\u005cleft\u005c{\u005cleft\u005c{y\u005cleft[x,t\u005cright]->C\u005cleft[1\u005cright]\u005cleft[-2 t+x\u005cright]\u005cright\u005c}\u005cright\u005c}
p13922
sg15
I6
sass(g1696
VStrings and Characters
p13923
VCharacterRange
p13924
I0
tp13925
(dp13926
g6
VCharacterRange["a", "e"]
p13927
sg8
(lp13928
(dp13929
g11
(lp13930
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d},\u005ctext{e}\u005cright\u005c}
p13931
sg15
I1
sass(g1696
g13923
g13924
I1
tp13932
(dp13933
g6
VCharacterRange["b", "a"]
p13934
sg8
(lp13935
(dp13936
g11
(lp13937
sg13
V\u005cleft\u005c{\u005cright\u005c}
p13938
sg15
I2
sass(g1696
g13923
VCharacters
p13939
I0
tp13940
(dp13941
g6
VCharacters["abc"]
p13942
sg8
(lp13943
(dp13944
g11
(lp13945
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p13946
sg15
I1
sass(g1696
g13923
VDamerauLevenshteinDistance
p13947
I0
tp13948
(dp13949
g6
VDamerauLevenshteinDistance["kitten", "kitchen"]
p13950
sg8
(lp13951
(dp13952
g11
(lp13953
sg13
V2
p13954
sg15
I1
sass(g1696
g13923
g13947
I1
tp13955
(dp13956
g6
VDamerauLevenshteinDistance["abc", "ac"]
p13957
sg8
(lp13958
(dp13959
g11
(lp13960
sg13
V1
p13961
sg15
I2
sass(g1696
g13923
g13947
I2
tp13962
(dp13963
g6
VDamerauLevenshteinDistance["abc", "acb"]
p13964
sg8
(lp13965
(dp13966
g11
(lp13967
sg13
V1
p13968
sg15
I3
sass(g1696
g13923
g13947
I3
tp13969
(dp13970
g6
VDamerauLevenshteinDistance["azbc", "abxyc"]
p13971
sg8
(lp13972
(dp13973
g11
(lp13974
sg13
V3
p13975
sg15
I4
sass(g1696
g13923
g13947
I4
tp13976
(dp13977
g6
VDamerauLevenshteinDistance["time", "Thyme"]
p13978
sg8
(lp13979
(dp13980
g11
(lp13981
sg13
V3
p13982
sg15
I5
sass(g1696
g13923
g13947
I5
tp13983
(dp13984
g6
VDamerauLevenshteinDistance["time", "Thyme", IgnoreCase -> True]
p13985
sg8
(lp13986
(dp13987
g11
(lp13988
sg13
V2
p13989
sg15
I6
sass(g1696
g13923
g13947
I6
tp13990
(dp13991
g6
VDamerauLevenshteinDistance[{1, E, 2, Pi}, {1, E, Pi, 2}]
p13992
sg8
(lp13993
(dp13994
g11
(lp13995
sg13
V1
p13996
sg15
I7
sass(g1696
g13923
VDigitCharacter
p13997
I0
tp13998
(dp13999
g6
VStringMatchQ["1", DigitCharacter]
p14000
sg8
(lp14001
(dp14002
g11
(lp14003
sg13
V\u005ctext{True}
p14004
sg15
I1
sass(g1696
g13923
g13997
I1
tp14005
(dp14006
g6
VStringMatchQ["a", DigitCharacter]
p14007
sg8
(lp14008
(dp14009
g11
(lp14010
sg13
V\u005ctext{False}
p14011
sg15
I2
sass(g1696
g13923
g13997
I2
tp14012
(dp14013
g6
VStringMatchQ["12", DigitCharacter]
p14014
sg8
(lp14015
(dp14016
g11
(lp14017
sg13
V\u005ctext{False}
p14018
sg15
I3
sass(g1696
g13923
g13997
I3
tp14019
(dp14020
g6
VStringMatchQ["123245", DigitCharacter..]
p14021
sg8
(lp14022
(dp14023
g11
(lp14024
sg13
V\u005ctext{True}
p14025
sg15
I4
sass(g1696
g13923
VDigitQ
p14026
I0
tp14027
(dp14028
g6
VDigitQ["9"]
p14029
sg8
(lp14030
(dp14031
g11
(lp14032
sg13
V\u005ctext{True}
p14033
sg15
I1
sass(g1696
g13923
g14026
I1
tp14034
(dp14035
g6
VDigitQ["a"]
p14036
sg8
(lp14037
(dp14038
g11
(lp14039
sg13
V\u005ctext{False}
p14040
sg15
I2
sass(g1696
g13923
g14026
I2
tp14041
(dp14042
g6
VDigitQ["01001101011000010111010001101000011010010110001101110011"]
p14043
sg8
(lp14044
(dp14045
g11
(lp14046
sg13
V\u005ctext{True}
p14047
sg15
I3
sass(g1696
g13923
g14026
I3
tp14048
(dp14049
g6
VDigitQ["-123456789"]
p14050
sg8
(lp14051
(dp14052
g11
(lp14053
sg13
V\u005ctext{False}
p14054
sg15
I4
sass(g1696
g13923
VEditDistance
p14055
I0
tp14056
(dp14057
g6
VEditDistance["kitten", "kitchen"]
p14058
sg8
(lp14059
(dp14060
g11
(lp14061
sg13
V2
p14062
sg15
I1
sass(g1696
g13923
g14055
I1
tp14063
(dp14064
g6
VEditDistance["abc", "ac"]
p14065
sg8
(lp14066
(dp14067
g11
(lp14068
sg13
V1
p14069
sg15
I2
sass(g1696
g13923
g14055
I2
tp14070
(dp14071
g6
VEditDistance["abc", "acb"]
p14072
sg8
(lp14073
(dp14074
g11
(lp14075
sg13
V2
p14076
sg15
I3
sass(g1696
g13923
g14055
I3
tp14077
(dp14078
g6
VEditDistance["azbc", "abxyc"]
p14079
sg8
(lp14080
(dp14081
g11
(lp14082
sg13
V3
p14083
sg15
I4
sass(g1696
g13923
g14055
I4
tp14084
(dp14085
g6
VEditDistance["time", "Thyme"]
p14086
sg8
(lp14087
(dp14088
g11
(lp14089
sg13
V3
p14090
sg15
I5
sass(g1696
g13923
g14055
I5
tp14091
(dp14092
g6
VEditDistance["time", "Thyme", IgnoreCase -> True]
p14093
sg8
(lp14094
(dp14095
g11
(lp14096
sg13
V2
p14097
sg15
I6
sass(g1696
g13923
g14055
I6
tp14098
(dp14099
g6
VEditDistance[{1, E, 2, Pi}, {1, E, Pi, 2}]
p14100
sg8
(lp14101
(dp14102
g11
(lp14103
sg13
V2
p14104
sg15
I7
sass(g1696
g13923
VEndOfLine
p14105
I0
tp14106
(dp14107
g6
VStringReplace["aba\u005cnbba\u005cna\u005cnab", "a" ~~ EndOfLine -> "c"]
p14108
sg8
(lp14109
(dp14110
g11
(lp14111
sg13
V\u005ctext{abc\u005cnewline\u000abbc\u005cnewline\u000ac\u005cnewline\u000aab}
p14112
sg15
I1
sass(g1696
g13923
g14105
I1
tp14113
(dp14114
g6
VStringSplit["abc\u005cndef\u005cnhij", EndOfLine]
p14115
sg8
(lp14116
(dp14117
g11
(lp14118
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{\u005cnewline\u000adef},\u005ctext{\u005cnewline\u000ahij}\u005cright\u005c}
p14119
sg15
I2
sass(g1696
g13923
VEndOfString
p14120
I0
tp14121
(dp14122
g6
VStringMatchQ[#, __ ~~ "e" ~~ EndOfString] &/@ {"apple", "banana", "artichoke"}
p14123
sg8
(lp14124
(dp14125
g11
(lp14126
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p14127
sg15
I1
sass(g1696
g13923
g14120
I1
tp14128
(dp14129
g6
VStringReplace["aab\u005cnabb", "b" ~~ EndOfString -> "c"]
p14130
sg8
(lp14131
(dp14132
g11
(lp14133
sg13
V\u005ctext{aab\u005cnewline\u000aabc}
p14134
sg15
I2
sass(g1696
g13923
VFromCharacterCode
p14135
I0
tp14136
(dp14137
g6
VFromCharacterCode[100]
p14138
sg8
(lp14139
(dp14140
g11
(lp14141
sg13
V\u005ctext{d}
p14142
sg15
I1
sass(g1696
g13923
g14135
I1
tp14143
(dp14144
g6
VFromCharacterCode[228, "ISO8859-1"]
p14145
sg8
(lp14146
(dp14147
g11
(lp14148
sg13
V\u005ctext{}
p14149
sg15
I2
sass(g1696
g13923
g14135
I2
tp14150
(dp14151
g6
VFromCharacterCode[{100, 101, 102}]
p14152
sg8
(lp14153
(dp14154
g11
(lp14155
sg13
V\u005ctext{def}
p14156
sg15
I3
sass(g1696
g13923
g14135
I3
tp14157
(dp14158
g6
VToCharacterCode[%]
p14159
sg8
(lp14160
(dp14161
g11
(lp14162
sg13
V\u005cleft\u005c{100,101,102\u005cright\u005c}
p14163
sg15
I4
sass(g1696
g13923
g14135
I4
tp14164
(dp14165
g6
VFromCharacterCode[{{97, 98, 99}, {100, 101, 102}}]
p14166
sg8
(lp14167
(dp14168
g11
(lp14169
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{def}\u005cright\u005c}
p14170
sg15
I5
sass(g1696
g13923
g14135
I5
tp14171
(dp14172
g6
VToCharacterCode["abc 123"] // FromCharacterCode
p14173
sg8
(lp14174
(dp14175
g11
(lp14176
sg13
V\u005ctext{abc 123}
p14177
sg15
I6
sass(g1696
g13923
VHammingDistance
p14178
I0
tp14179
(dp14180
g6
VHammingDistance[{1, 0, 1, 0}, {1, 0, 0, 1}]
p14181
sg8
(lp14182
(dp14183
g11
(lp14184
sg13
V2
p14185
sg15
I1
sass(g1696
g13923
g14178
I1
tp14186
(dp14187
g6
VHammingDistance["time", "dime"]
p14188
sg8
(lp14189
(dp14190
g11
(lp14191
sg13
V1
p14192
sg15
I2
sass(g1696
g13923
g14178
I2
tp14193
(dp14194
g6
VHammingDistance["TIME", "dime", IgnoreCase -> True]
p14195
sg8
(lp14196
(dp14197
g11
(lp14198
sg13
V1
p14199
sg15
I3
sass(g1696
g13923
VHexidecimalCharacter
p14200
I0
tp14201
(dp14202
g6
VStringMatchQ[#, HexidecimalCharacter] & /@ {"a", "1", "A", "x", "H", " ", "."}
p14203
sg8
(lp14204
(dp14205
g11
(lp14206
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14207
sg15
I1
sass(g1696
g13923
VLetterCharacter
p14208
I0
tp14209
(dp14210
g6
VStringMatchQ[#, LetterCharacter] & /@ {"a", "1", "A", " ", "."}
p14211
sg8
(lp14212
(dp14213
g11
(lp14214
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14215
sg15
I1
sass(g1696
g13923
g14208
I1
tp14216
(dp14217
g6
VStringMatchQ["\u005c[Lambda]", LetterCharacter]
p14218
sg8
(lp14219
(dp14220
g11
(lp14221
sg13
V\u005ctext{True}
p14222
sg15
I2
sass(g1696
g13923
VLetterQ
p14223
I0
tp14224
(dp14225
g6
VLetterQ["m"]
p14226
sg8
(lp14227
(dp14228
g11
(lp14229
sg13
V\u005ctext{True}
p14230
sg15
I1
sass(g1696
g13923
g14223
I1
tp14231
(dp14232
g6
VLetterQ["9"]
p14233
sg8
(lp14234
(dp14235
g11
(lp14236
sg13
V\u005ctext{False}
p14237
sg15
I2
sass(g1696
g13923
g14223
I2
tp14238
(dp14239
g6
VLetterQ["Mathics"]
p14240
sg8
(lp14241
(dp14242
g11
(lp14243
sg13
V\u005ctext{True}
p14244
sg15
I3
sass(g1696
g13923
g14223
I3
tp14245
(dp14246
g6
VLetterQ["Welcome to Mathics"]
p14247
sg8
(lp14248
(dp14249
g11
(lp14250
sg13
V\u005ctext{False}
p14251
sg15
I4
sass(g1696
g13923
VLowerCaseQ
p14252
I0
tp14253
(dp14254
g6
VLowerCaseQ["abc"]
p14255
sg8
(lp14256
(dp14257
g11
(lp14258
sg13
V\u005ctext{True}
p14259
sg15
I1
sass(g1696
g13923
g14252
I1
tp14260
(dp14261
g6
VLowerCaseQ[""]
p14262
sg8
(lp14263
(dp14264
g11
(lp14265
sg13
V\u005ctext{True}
p14266
sg15
I2
sass(g1696
g13923
VNumberString
p14267
I0
tp14268
(dp14269
g6
VStringMatchQ["1234", NumberString]
p14270
sg8
(lp14271
(dp14272
g11
(lp14273
sg13
V\u005ctext{True}
p14274
sg15
I1
sass(g1696
g13923
g14267
I1
tp14275
(dp14276
g6
VStringMatchQ["1234.5", NumberString]
p14277
sg8
(lp14278
(dp14279
g11
(lp14280
sg13
V\u005ctext{True}
p14281
sg15
I2
sass(g1696
g13923
g14267
I2
tp14282
(dp14283
g6
VStringMatchQ["1.2`20", NumberString]
p14284
sg8
(lp14285
(dp14286
g11
(lp14287
sg13
V\u005ctext{False}
p14288
sg15
I3
sass(g1696
g13923
VRegularExpression
p14289
I0
tp14290
(dp14291
g6
VStringSplit["1.23, 4.56  7.89", RegularExpression["(\u005c\u005cs|,)+"]]
p14292
sg8
(lp14293
(dp14294
g11
(lp14295
sg13
V\u005cleft\u005c{\u005ctext{1.23},\u005ctext{4.56},\u005ctext{7.89}\u005cright\u005c}
p14296
sg15
I1
sass(g1696
g13923
VRemoveDiacritics
p14297
I0
tp14298
(dp14299
g6
VRemoveDiacritics["en prononant pcher et pcher"]
p14300
sg8
(lp14301
(dp14302
g11
(lp14303
sg13
V\u005ctext{en prononcant pecher et pecher}
p14304
sg15
I1
sass(g1696
g13923
g14297
I1
tp14305
(dp14306
g6
VRemoveDiacritics["piata"]
p14307
sg8
(lp14308
(dp14309
g11
(lp14310
sg13
V\u005ctext{pinata}
p14311
sg15
I2
sass(g1696
g13923
VStartOfLine
p14312
I0
tp14313
(dp14314
g6
VStringReplace["aba\u005cnbba\u005cna\u005cnab", StartOfLine ~~ "a" -> "c"]
p14315
sg8
(lp14316
(dp14317
g11
(lp14318
sg13
V\u005ctext{cba\u005cnewline\u000abba\u005cnewline\u000ac\u005cnewline\u000acb}
p14319
sg15
I1
sass(g1696
g13923
g14312
I1
tp14320
(dp14321
g6
VStringSplit["abc\u005cndef\u005cnhij", StartOfLine]
p14322
sg8
(lp14323
(dp14324
g11
(lp14325
sg13
V\u005cleft\u005c{\u005ctext{abc\u005cnewline\u000a},\u005ctext{def\u005cnewline\u000a},\u005ctext{hij}\u005cright\u005c}
p14326
sg15
I2
sass(g1696
g13923
VStartOfString
p14327
I0
tp14328
(dp14329
g6
VStringMatchQ[#, StartOfString ~~ "a" ~~ __] &/@ {"apple", "banana", "artichoke"}
p14330
sg8
(lp14331
(dp14332
g11
(lp14333
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p14334
sg15
I1
sass(g1696
g13923
g14327
I1
tp14335
(dp14336
g6
VStringReplace["aba\u005cnabb", StartOfString ~~ "a" -> "c"]
p14337
sg8
(lp14338
(dp14339
g11
(lp14340
sg13
V\u005ctext{cba\u005cnewline\u000aabb}
p14341
sg15
I2
sass(g1696
g13923
VStringCases
p14342
I0
tp14343
(dp14344
g6
VStringCases["axbaxxb", "a" ~~ x_ ~~ "b"]
p14345
sg8
(lp14346
(dp14347
g11
(lp14348
sg13
V\u005cleft\u005c{\u005ctext{axb}\u005cright\u005c}
p14349
sg15
I1
sass(g1696
g13923
g14342
I1
tp14350
(dp14351
g6
VStringCases["axbaxxb", "a" ~~ x__ ~~ "b"]
p14352
sg8
(lp14353
(dp14354
g11
(lp14355
sg13
V\u005cleft\u005c{\u005ctext{axbaxxb}\u005cright\u005c}
p14356
sg15
I2
sass(g1696
g13923
g14342
I2
tp14357
(dp14358
g6
VStringCases["axbaxxb", Shortest["a" ~~ x__ ~~ "b"]]
p14359
sg8
(lp14360
(dp14361
g11
(lp14362
sg13
V\u005cleft\u005c{\u005ctext{axb},\u005ctext{axxb}\u005cright\u005c}
p14363
sg15
I3
sass(g1696
g13923
g14342
I3
tp14364
(dp14365
g6
VStringCases["-abc- def -uvw- xyz", Shortest["-" ~~ x__ ~~ "-"] -> x]
p14366
sg8
(lp14367
(dp14368
g11
(lp14369
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{uvw}\u005cright\u005c}
p14370
sg15
I4
sass(g1696
g13923
g14342
I4
tp14371
(dp14372
g6
VStringCases["-hi- -abc- -.-", "-" ~~ x : WordCharacter .. ~~ "-" -> x]
p14373
sg8
(lp14374
(dp14375
g11
(lp14376
sg13
V\u005cleft\u005c{\u005ctext{hi},\u005ctext{abc}\u005cright\u005c}
p14377
sg15
I5
sass(g1696
g13923
g14342
I5
tp14378
(dp14379
g6
VStringCases["abc-abc xyz-uvw", Shortest[x : WordCharacter .. ~~ "-" ~~ x_] -> x]
p14380
sg8
(lp14381
(dp14382
g11
(lp14383
sg13
V\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}
p14384
sg15
I6
sass(g1696
g13923
g14342
I7
tp14385
(dp14386
g6
VStringCases["abba", {"a" -> 10, "b" -> 20}, 2]
p14387
sg8
(lp14388
(dp14389
g11
(lp14390
sg13
V\u005cleft\u005c{10,20\u005cright\u005c}
p14391
sg15
I7
sass(g1696
g13923
g14342
I8
tp14392
(dp14393
g6
VStringCases["a#_123", WordCharacter]
p14394
sg8
(lp14395
(dp14396
g11
(lp14397
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{},\u005ctext{1},\u005ctext{2},\u005ctext{3}\u005cright\u005c}
p14398
sg15
I8
sass(g1696
g13923
g14342
I9
tp14399
(dp14400
g6
VStringCases["a#_123", LetterCharacter]
p14401
sg8
(lp14402
(dp14403
g11
(lp14404
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{}\u005cright\u005c}
p14405
sg15
I9
sass(g1696
g13923
VStringContainsQ
p14406
I0
tp14407
(dp14408
g6
VStringContainsQ["mathics", "m" ~~ __ ~~ "s"]
p14409
sg8
(lp14410
(dp14411
g11
(lp14412
sg13
V\u005ctext{True}
p14413
sg15
I1
sass(g1696
g13923
g14406
I1
tp14414
(dp14415
g6
VStringContainsQ["mathics", "a" ~~ __ ~~ "m"]
p14416
sg8
(lp14417
(dp14418
g11
(lp14419
sg13
V\u005ctext{False}
p14420
sg15
I2
sass(g1696
g13923
g14406
I5
tp14421
(dp14422
g6
VStringContainsQ["Mathics", "MA" , IgnoreCase -> True]
p14423
sg8
(lp14424
(dp14425
g11
(lp14426
sg13
V\u005ctext{True}
p14427
sg15
I3
sass(g1696
g13923
g14406
I11
tp14428
(dp14429
g6
VStringContainsQ[{"g", "a", "laxy", "universe", "sun"}, "u"]
p14430
sg8
(lp14431
(dp14432
g11
(lp14433
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{True}\u005cright\u005c}
p14434
sg15
I4
sass(g1696
g13923
g14406
I13
tp14435
(dp14436
g6
VStringContainsQ["e" ~~ ___ ~~ "u"] /@ {"The Sun", "Mercury", "Venus", "Earth", "Mars", "Jupiter", "Saturn", "Uranus", "Neptune"}
p14437
sg8
(lp14438
(dp14439
g11
(lp14440
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p14441
sg15
I5
sass(g1696
g13923
VStringDrop
p14442
I0
tp14443
(dp14444
g6
VStringDrop["abcde", 2]
p14445
sg8
(lp14446
(dp14447
g11
(lp14448
sg13
V\u005ctext{cde}
p14449
sg15
I1
sass(g1696
g13923
g14442
I1
tp14450
(dp14451
g6
VStringDrop["abcde", -2]
p14452
sg8
(lp14453
(dp14454
g11
(lp14455
sg13
V\u005ctext{abc}
p14456
sg15
I2
sass(g1696
g13923
g14442
I2
tp14457
(dp14458
g6
VStringDrop["abcde", {2}]
p14459
sg8
(lp14460
(dp14461
g11
(lp14462
sg13
V\u005ctext{acde}
p14463
sg15
I3
sass(g1696
g13923
g14442
I3
tp14464
(dp14465
g6
VStringDrop["abcde", {2,3}]
p14466
sg8
(lp14467
(dp14468
g11
(lp14469
sg13
V\u005ctext{ade}
p14470
sg15
I4
sass(g1696
g13923
g14442
I4
tp14471
(dp14472
g6
VStringDrop["abcd",{3,2}]
p14473
sg8
(lp14474
(dp14475
g11
(lp14476
sg13
V\u005ctext{abcd}
p14477
sg15
I5
sass(g1696
g13923
g14442
I5
tp14478
(dp14479
g6
VStringDrop["abcd",0]
p14480
sg8
(lp14481
(dp14482
g11
(lp14483
sg13
V\u005ctext{abcd}
p14484
sg15
I6
sass(g1696
g13923
VStringExpression
p14485
I0
tp14486
(dp14487
g6
V"a" ~~ "b" // FullForm
p14488
sg8
(lp14489
(dp14490
g11
(lp14491
sg13
V\u005ctext{"ab"}
p14492
sg15
I1
sass(g1696
g13923
VStringFreeQ
p14493
I0
tp14494
(dp14495
g6
VStringFreeQ["mathics", "m" ~~ __ ~~ "s"]
p14496
sg8
(lp14497
(dp14498
g11
(lp14499
sg13
V\u005ctext{False}
p14500
sg15
I1
sass(g1696
g13923
g14493
I1
tp14501
(dp14502
g6
VStringFreeQ["mathics", "a" ~~ __ ~~ "m"]
p14503
sg8
(lp14504
(dp14505
g11
(lp14506
sg13
V\u005ctext{True}
p14507
sg15
I2
sass(g1696
g13923
g14493
I5
tp14508
(dp14509
g6
VStringFreeQ["Mathics", "MA" , IgnoreCase -> True]
p14510
sg8
(lp14511
(dp14512
g11
(lp14513
sg13
V\u005ctext{False}
p14514
sg15
I3
sass(g1696
g13923
g14493
I11
tp14515
(dp14516
g6
VStringFreeQ[{"g", "a", "laxy", "universe", "sun"}, "u"]
p14517
sg8
(lp14518
(dp14519
g11
(lp14520
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14521
sg15
I4
sass(g1696
g13923
g14493
I13
tp14522
(dp14523
g6
VStringFreeQ["e" ~~ ___ ~~ "u"] /@ {"The Sun", "Mercury", "Venus", "Earth", "Mars", "Jupiter", "Saturn", "Uranus", "Neptune"}
p14524
sg8
(lp14525
(dp14526
g11
(lp14527
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False}\u005cright\u005c}
p14528
sg15
I5
sass(g1696
g13923
g14493
I15
tp14529
(dp14530
g6
VStringFreeQ[{"A", "Galaxy", "Far", "Far", "Away"}, {"F" ~~ __ ~~ "r", "aw" ~~ ___}, IgnoreCase -> True]
p14531
sg8
(lp14532
(dp14533
g11
(lp14534
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14535
sg15
I6
sass(g1696
g13923
VStringInsert
p14536
I0
tp14537
(dp14538
g6
VStringInsert["noting", "h", 4]
p14539
sg8
(lp14540
(dp14541
g11
(lp14542
sg13
V\u005ctext{nothing}
p14543
sg15
I1
sass(g1696
g13923
g14536
I6
tp14544
(dp14545
g6
VStringInsert["note", "d", -1]
p14546
sg8
(lp14547
(dp14548
g11
(lp14549
sg13
V\u005ctext{noted}
p14550
sg15
I2
sass(g1696
g13923
g14536
I7
tp14551
(dp14552
g6
VStringInsert["here", "t", -5]
p14553
sg8
(lp14554
(dp14555
g11
(lp14556
sg13
V\u005ctext{there}
p14557
sg15
I3
sass(g1696
g13923
g14536
I9
tp14558
(dp14559
g6
VStringInsert["adac", "he", {1, 5}]
p14560
sg8
(lp14561
(dp14562
g11
(lp14563
sg13
V\u005ctext{headache}
p14564
sg15
I4
sass(g1696
g13923
g14536
I18
tp14565
(dp14566
g6
VStringInsert[{"something", "sometimes"}, " ", 5]
p14567
sg8
(lp14568
(dp14569
g11
(lp14570
sg13
V\u005cleft\u005c{\u005ctext{some thing},\u005ctext{some times}\u005cright\u005c}
p14571
sg15
I5
sass(g1696
g13923
g14536
I24
tp14572
(dp14573
g6
VStringInsert["1234567890123456", ".", Range[-16, -4, 3]]
p14574
sg8
(lp14575
(dp14576
g11
(lp14577
sg13
V\u005ctext{1.234.567.890.123.456}
p14578
sg15
I6
sass(g1696
g13923
VStringJoin
p14579
I0
tp14580
(dp14581
g6
VStringJoin["a", "b", "c"]
p14582
sg8
(lp14583
(dp14584
g11
(lp14585
sg13
V\u005ctext{abc}
p14586
sg15
I1
sass(g1696
g13923
g14579
I1
tp14587
(dp14588
g6
V"a" <> "b" <> "c" // InputForm
p14589
sg8
(lp14590
(dp14591
g11
(lp14592
sg13
V\u005ctext{"abc"}
p14593
sg15
I2
sass(g1696
g13923
g14579
I2
tp14594
(dp14595
g6
VStringJoin[{"a", "b"}] // InputForm
p14596
sg8
(lp14597
(dp14598
g11
(lp14599
sg13
V\u005ctext{"ab"}
p14600
sg15
I3
sass(g1696
g13923
g14579
I3
tp14601
(dp14602
g6
VPrint[StringJoin[{"Hello", " ", {"world"}}, "!"]]
p14603
sg8
(lp14604
(dp14605
g11
(lp14606
(dp14607
g149
I00
sg156
VHello world!
p14608
sasg13
Nsg15
I4
sass(g1696
g13923
VStringLength
p14609
I0
tp14610
(dp14611
g6
VStringLength["abc"]
p14612
sg8
(lp14613
(dp14614
g11
(lp14615
sg13
V3
p14616
sg15
I1
sass(g1696
g13923
g14609
I1
tp14617
(dp14618
g6
VStringLength[{"a", "bc"}]
p14619
sg8
(lp14620
(dp14621
g11
(lp14622
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p14623
sg15
I2
sass(g1696
g13923
g14609
I2
tp14624
(dp14625
g6
VStringLength[x]
p14626
sg8
(lp14627
(dp14628
g11
(lp14629
(dp14630
g149
I01
sg150
VStringLength
p14631
sg152
g384
sg154
VStringLength::string
p14632
sg156
g386
sasg13
V\u005ctext{StringLength}\u005cleft[x\u005cright]
p14633
sg15
I3
sass(g1696
g13923
VStringMatchQ
p14634
I0
tp14635
(dp14636
g6
VStringMatchQ["abc", "abc"]
p14637
sg8
(lp14638
(dp14639
g11
(lp14640
sg13
V\u005ctext{True}
p14641
sg15
I1
sass(g1696
g13923
g14634
I1
tp14642
(dp14643
g6
VStringMatchQ["abc", "abd"]
p14644
sg8
(lp14645
(dp14646
g11
(lp14647
sg13
V\u005ctext{False}
p14648
sg15
I2
sass(g1696
g13923
g14634
I2
tp14649
(dp14650
g6
VStringMatchQ["15a94xcZ6", (DigitCharacter | LetterCharacter)..]
p14651
sg8
(lp14652
(dp14653
g11
(lp14654
sg13
V\u005ctext{True}
p14655
sg15
I3
sass(g1696
g13923
g14634
I8
tp14656
(dp14657
g6
VStringMatchQ[LetterCharacter]["a"]
p14658
sg8
(lp14659
(dp14660
g11
(lp14661
sg13
V\u005ctext{True}
p14662
sg15
I4
sass(g1696
g13923
VStringPosition
p14663
I0
tp14664
(dp14665
g6
VStringPosition["123ABCxyABCzzzABCABC", "ABC"]
p14666
sg8
(lp14667
(dp14668
g11
(lp14669
sg13
V\u005cleft\u005c{\u005cleft\u005c{4,6\u005cright\u005c},\u005cleft\u005c{9,11\u005cright\u005c},\u005cleft\u005c{15,17\u005cright\u005c},\u005cleft\u005c{18,20\u005cright\u005c}\u005cright\u005c}
p14670
sg15
I1
sass(g1696
g13923
g14663
I1
tp14671
(dp14672
g6
VStringPosition["123ABCxyABCzzzABCABC", "ABC", 2]
p14673
sg8
(lp14674
(dp14675
g11
(lp14676
sg13
V\u005cleft\u005c{\u005cleft\u005c{4,6\u005cright\u005c},\u005cleft\u005c{9,11\u005cright\u005c}\u005cright\u005c}
p14677
sg15
I2
sass(g1696
g13923
g14663
I2
tp14678
(dp14679
g6
Vdata = Import["ExampleData/EinsteinSzilLetter.txt"];
p14680
sg8
(lp14681
(dp14682
g11
(lp14683
sg13
Nsg15
I3
sass(g1696
g13923
g14663
I3
tp14684
(dp14685
g6
VStringPosition[data, "uranium"]
p14686
sg8
(lp14687
(dp14688
g11
(lp14689
sg13
V\u005cleft\u005c{\u005cleft\u005c{299,305\u005cright\u005c},\u005cleft\u005c{870,876\u005cright\u005c},\u005cleft\u005c{1538,1544\u005cright\u005c},\u005cleft\u005c{1671,1677\u005cright\u005c},\u005cleft\u005c{2300,2306\u005cright\u005c},\u005cleft\u005c{2784,2790\u005cright\u005c},\u005cleft\u005c{3093,3099\u005cright\u005c}\u005cright\u005c}
p14690
sg15
I4
sass(g1696
g13923
VStringQ
p14691
I0
tp14692
(dp14693
g6
VStringQ["abc"]
p14694
sg8
(lp14695
(dp14696
g11
(lp14697
sg13
V\u005ctext{True}
p14698
sg15
I1
sass(g1696
g13923
g14691
I1
tp14699
(dp14700
g6
VStringQ[1.5]
p14701
sg8
(lp14702
(dp14703
g11
(lp14704
sg13
V\u005ctext{False}
p14705
sg15
I2
sass(g1696
g13923
g14691
I2
tp14706
(dp14707
g6
VSelect[{"12", 1, 3, 5, "yz", x, y}, StringQ]
p14708
sg8
(lp14709
(dp14710
g11
(lp14711
sg13
V\u005cleft\u005c{\u005ctext{12},\u005ctext{yz}\u005cright\u005c}
p14712
sg15
I3
sass(g1696
g13923
VStringRepeat
p14713
I0
tp14714
(dp14715
g6
VStringRepeat["abc", 3]
p14716
sg8
(lp14717
(dp14718
g11
(lp14719
sg13
V\u005ctext{abcabcabc}
p14720
sg15
I1
sass(g1696
g13923
g14713
I1
tp14721
(dp14722
g6
VStringRepeat["abc", 10, 7]
p14723
sg8
(lp14724
(dp14725
g11
(lp14726
sg13
V\u005ctext{abcabca}
p14727
sg15
I2
sass(g1696
g13923
VStringReplace
p14728
I0
tp14729
(dp14730
g6
VStringReplace["xyxyxyyyxxxyyxy", "xy" -> "A"]
p14731
sg8
(lp14732
(dp14733
g11
(lp14734
sg13
V\u005ctext{AAAyyxxAyA}
p14735
sg15
I1
sass(g1696
g13923
g14728
I1
tp14736
(dp14737
g6
VStringReplace["xyzwxyzwxxyzxyzw", {"xyz" -> "A", "w" -> "BCD"}]
p14738
sg8
(lp14739
(dp14740
g11
(lp14741
sg13
V\u005ctext{ABCDABCDxAABCD}
p14742
sg15
I2
sass(g1696
g13923
g14728
I2
tp14743
(dp14744
g6
VStringReplace["xyxyxyyyxxxyyxy", "xy" -> "A", 2]
p14745
sg8
(lp14746
(dp14747
g11
(lp14748
sg13
V\u005ctext{AAxyyyxxxyyxy}
p14749
sg15
I3
sass(g1696
g13923
g14728
I3
tp14750
(dp14751
g6
VStringReplace["abba", {"a" -> "A", "b" -> "B"}, 2]
p14752
sg8
(lp14753
(dp14754
g11
(lp14755
sg13
V\u005ctext{ABba}
p14756
sg15
I4
sass(g1696
g13923
g14728
I4
tp14757
(dp14758
g6
VStringReplace[{"xyxyxxy", "yxyxyxxxyyxy"}, "xy" -> "A"]
p14759
sg8
(lp14760
(dp14761
g11
(lp14762
sg13
V\u005cleft\u005c{\u005ctext{AAxA},\u005ctext{yAAxxAyA}\u005cright\u005c}
p14763
sg15
I5
sass(g1696
g13923
g14728
I20
tp14764
(dp14765
g6
VStringReplace["y" -> "ies"]["city"]
p14766
sg8
(lp14767
(dp14768
g11
(lp14769
sg13
V\u005ctext{cities}
p14770
sg15
I6
sass(g1696
g13923
VStringRiffle
p14771
I0
tp14772
(dp14773
g6
VStringRiffle[{"a", "b", "c", "d", "e"}]
p14774
sg8
(lp14775
(dp14776
g11
(lp14777
sg13
V\u005ctext{a b c d e}
p14778
sg15
I1
sass(g1696
g13923
g14771
I5
tp14779
(dp14780
g6
VStringRiffle[{"a", "b", "c", "d", "e"}, ", "]
p14781
sg8
(lp14782
(dp14783
g11
(lp14784
sg13
V\u005ctext{a, b, c, d, e}
p14785
sg15
I2
sass(g1696
g13923
g14771
I7
tp14786
(dp14787
g6
VStringRiffle[{"a", "b", "c", "d", "e"}, {"(", " ", ")"}]
p14788
sg8
(lp14789
(dp14790
g11
(lp14791
sg13
V\u005ctext{(a b c d e)}
p14792
sg15
I3
sass(g1696
g13923
VStringSplit
p14793
I0
tp14794
(dp14795
g6
VStringSplit["abc,123", ","]
p14796
sg8
(lp14797
(dp14798
g11
(lp14799
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123}\u005cright\u005c}
p14800
sg15
I1
sass(g1696
g13923
g14793
I1
tp14801
(dp14802
g6
VStringSplit["abc 123"]
p14803
sg8
(lp14804
(dp14805
g11
(lp14806
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123}\u005cright\u005c}
p14807
sg15
I2
sass(g1696
g13923
g14793
I3
tp14808
(dp14809
g6
VStringSplit["abc,123.456", {",", "."}]
p14810
sg8
(lp14811
(dp14812
g11
(lp14813
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123},\u005ctext{456}\u005cright\u005c}
p14814
sg15
I3
sass(g1696
g13923
g14793
I4
tp14815
(dp14816
g6
VStringSplit["a  b    c", RegularExpression[" +"]]
p14817
sg8
(lp14818
(dp14819
g11
(lp14820
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p14821
sg15
I4
sass(g1696
g13923
VStringTake
p14822
I0
tp14823
(dp14824
g6
VStringTake["abcde", 2]
p14825
sg8
(lp14826
(dp14827
g11
(lp14828
sg13
V\u005ctext{ab}
p14829
sg15
I1
sass(g1696
g13923
g14822
I1
tp14830
(dp14831
g6
VStringTake["abcde", 0]
p14832
sg8
(lp14833
(dp14834
g11
(lp14835
sg13
V\u005ctext{}
p14836
sg15
I2
sass(g1696
g13923
g14822
I2
tp14837
(dp14838
g6
VStringTake["abcde", -2]
p14839
sg8
(lp14840
(dp14841
g11
(lp14842
sg13
V\u005ctext{de}
p14843
sg15
I3
sass(g1696
g13923
g14822
I3
tp14844
(dp14845
g6
VStringTake["abcde", {2}]
p14846
sg8
(lp14847
(dp14848
g11
(lp14849
sg13
V\u005ctext{b}
p14850
sg15
I4
sass(g1696
g13923
g14822
I4
tp14851
(dp14852
g6
VStringTake["abcd", {2,3}]
p14853
sg8
(lp14854
(dp14855
g11
(lp14856
sg13
V\u005ctext{bc}
p14857
sg15
I5
sass(g1696
g13923
g14822
I5
tp14858
(dp14859
g6
VStringTake["abcdefgh", {1, 5, 2}]
p14860
sg8
(lp14861
(dp14862
g11
(lp14863
sg13
V\u005ctext{ace}
p14864
sg15
I6
sass(g1696
g13923
g14822
I6
tp14865
(dp14866
g6
VStringTake["abcdef", All]
p14867
sg8
(lp14868
(dp14869
g11
(lp14870
sg13
V\u005ctext{abcdef}
p14871
sg15
I7
sass(g1696
g13923
VStringTrim
p14872
I0
tp14873
(dp14874
g6
VStringJoin["a", StringTrim["  \u005ctb\u005cn "], "c"]
p14875
sg8
(lp14876
(dp14877
g11
(lp14878
sg13
V\u005ctext{abc}
p14879
sg15
I1
sass(g1696
g13923
g14872
I1
tp14880
(dp14881
g6
VStringTrim["ababaxababyaabab", RegularExpression["(ab)+"]]
p14882
sg8
(lp14883
(dp14884
g11
(lp14885
sg13
V\u005ctext{axababya}
p14886
sg15
I2
sass(g1696
g13923
VString
p14887
I0
tp14888
(dp14889
g6
VHead["abc"]
p14890
sg8
(lp14891
(dp14892
g11
(lp14893
sg13
V\u005ctext{String}
p14894
sg15
I1
sass(g1696
g13923
g14887
I1
tp14895
(dp14896
g6
V"abc"
p14897
sg8
(lp14898
(dp14899
g11
(lp14900
sg13
V\u005ctext{abc}
p14901
sg15
I2
sass(g1696
g13923
g14887
I2
tp14902
(dp14903
g6
VInputForm["abc"]
p14904
sg8
(lp14905
(dp14906
g11
(lp14907
sg13
V\u005ctext{"abc"}
p14908
sg15
I3
sass(g1696
g13923
g14887
I3
tp14909
(dp14910
g6
VFullForm["abc" + 2]
p14911
sg8
(lp14912
(dp14913
g11
(lp14914
sg13
V\u005ctext{Plus}\u005cleft[2, \u005ctext{"abc"}\u005cright]
p14915
sg15
I4
sass(g1696
g13923
VToCharacterCode
p14916
I0
tp14917
(dp14918
g6
VToCharacterCode["abc"]
p14919
sg8
(lp14920
(dp14921
g11
(lp14922
sg13
V\u005cleft\u005c{97,98,99\u005cright\u005c}
p14923
sg15
I1
sass(g1696
g13923
g14916
I1
tp14924
(dp14925
g6
VFromCharacterCode[%]
p14926
sg8
(lp14927
(dp14928
g11
(lp14929
sg13
V\u005ctext{abc}
p14930
sg15
I2
sass(g1696
g13923
g14916
I2
tp14931
(dp14932
g6
VToCharacterCode["\u005c[Alpha]\u005c[Beta]\u005c[Gamma]"]
p14933
sg8
(lp14934
(dp14935
g11
(lp14936
sg13
V\u005cleft\u005c{945,946,947\u005cright\u005c}
p14937
sg15
I3
sass(g1696
g13923
g14916
I3
tp14938
(dp14939
g6
VToCharacterCode["", "UTF8"]
p14940
sg8
(lp14941
(dp14942
g11
(lp14943
sg13
V\u005cleft\u005c{195,164\u005cright\u005c}
p14944
sg15
I4
sass(g1696
g13923
g14916
I4
tp14945
(dp14946
g6
VToCharacterCode["", "ISO8859-1"]
p14947
sg8
(lp14948
(dp14949
g11
(lp14950
sg13
V\u005cleft\u005c{228\u005cright\u005c}
p14951
sg15
I5
sass(g1696
g13923
g14916
I5
tp14952
(dp14953
g6
VToCharacterCode[{"ab", "c"}]
p14954
sg8
(lp14955
(dp14956
g11
(lp14957
sg13
V\u005cleft\u005c{\u005cleft\u005c{97,98\u005cright\u005c},\u005cleft\u005c{99\u005cright\u005c}\u005cright\u005c}
p14958
sg15
I6
sass(g1696
g13923
g14916
I8
tp14959
(dp14960
g6
VToCharacterCode[{"ab", x}]
p14961
sg8
(lp14962
(dp14963
g11
(lp14964
(dp14965
g149
I01
sg150
VToCharacterCode
p14966
sg152
Vstrse
p14967
sg154
VToCharacterCode::strse
p14968
sg156
VString or list of strings expected at position 1 in ToCharacterCode[{ab, x}].
p14969
sasg13
V\u005ctext{ToCharacterCode}\u005cleft[\u005cleft\u005c{\u005ctext{ab},x\u005cright\u005c}\u005cright]
p14970
sg15
I7
sass(g1696
g13923
g14916
I9
tp14971
(dp14972
g6
VListPlot[ToCharacterCode["plot this string"], Filling -> Axis]
p14973
sg8
(lp14974
(dp14975
g11
(lp14976
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adot((18.181818181818183, 166.82595780241914), rgb(0.2472, 0.24, 0.6));dot((42.42424242424242, 97.67530171851486), rgb(0.2472, 0.24, 0.6));dot((66.66666666666667, 149.53829378144306), rgb(0.2472, 0.24, 0.6));dot((90.9090909090909, 235.97661388632335), rgb(0.2472, 0.24, 0.6));dot((115.15151515151516, -1216.187163875666), rgb(0.2472, 0.24, 0.6));dot((139.3939393939394, 235.97661388632335), rgb(0.2472, 0.24, 0.6));dot((163.63636363636363, 28.524645634610604), rgb(0.2472, 0.24, 0.6));dot((187.87878787878788, 45.81230965558667), rgb(0.2472, 0.24, 0.6));dot((212.12121212121212, 218.68894986534733), rgb(0.2472, 0.24, 0.6));dot((236.36363636363637, -1216.187163875666), rgb(0.2472, 0.24, 0.6));dot((260.6060606060606, 218.68894986534733), rgb(0.2472, 0.24, 0.6));dot((284.8484848484849, 235.97661388632335), rgb(0.2472, 0.24, 0.6));dot((309.09090909090907, 201.40128584437124), rgb(0.2472, 0.24, 0.6));dot((333.3333333333333, 45.81230965558667), rgb(0.2472, 0.24, 0.6));dot((357.57575757575756, 132.25062976046698), rgb(0.2472, 0.24, 0.6));dot((381.8181818181818, 11.236981613634539), rgb(0.2472, 0.24, 0.6));\u000adraw((18.182,-1769.39)--(18.182,166.826), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((42.424,-1769.39)--(42.424,97.6753), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((66.667,-1769.39)--(66.667,149.538), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((90.909,-1769.39)--(90.909,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((115.15,-1769.39)--(115.15,-1216.19), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((139.39,-1769.39)--(139.39,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((163.64,-1769.39)--(163.64,28.5246), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((187.88,-1769.39)--(187.88,45.8123), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((212.12,-1769.39)--(212.12,218.689), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((236.36,-1769.39)--(236.36,-1216.19), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((260.61,-1769.39)--(260.61,218.689), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((284.85,-1769.39)--(284.85,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((309.09,-1769.39)--(309.09,201.401), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((333.33,-1769.39)--(333.33,45.8123), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((357.58,-1769.39)--(357.58,132.251), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000adraw((381.82,-1769.39)--(381.82,11.237), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-29.727,-13.611), (416.67,260.82)));\u000adraw((-16,28.5246)--(416,28.5246), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (115.15151515151516,25.857978967943936), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (236.36363636363637,25.857978967943936), (0,-1), rgb(0, 0, 0));\u000alabel("$15$", (357.57575757575756,25.857978967943936), (0,-1), rgb(0, 0, 0));\u000adraw((115.15,28.5246)--(115.15,35.1913), rgb(0, 0, 0)+linewidth(0.66667));draw((236.36,28.5246)--(236.36,35.1913), rgb(0, 0, 0)+linewidth(0.66667));draw((357.58,28.5246)--(357.58,35.1913), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,28.5246)--(18.182,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((42.424,28.5246)--(42.424,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((66.667,28.5246)--(66.667,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((90.909,28.5246)--(90.909,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((139.39,28.5246)--(139.39,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((163.64,28.5246)--(163.64,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((187.88,28.5246)--(187.88,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((212.12,28.5246)--(212.12,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((260.61,28.5246)--(260.61,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((284.85,28.5246)--(284.85,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((309.09,28.5246)--(309.09,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,28.5246)--(333.33,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,28.5246)--(381.82,32.5246), rgb(0, 0, 0)+linewidth(0.66667));draw((406.06,28.5246)--(406.06,32.5246), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((-6.0606,-12.9443)--(-6.0606,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$106$", (-8.727272727272727,63.09997367656273), (-1,0), rgb(0, 0, 0));\u000alabel("$108$", (-8.727272727272727,97.67530171851486), (-1,0), rgb(0, 0, 0));\u000alabel("$110$", (-8.727272727272727,132.25062976046698), (-1,0), rgb(0, 0, 0));\u000alabel("$112$", (-8.727272727272727,166.82595780241914), (-1,0), rgb(0, 0, 0));\u000alabel("$114$", (-8.727272727272727,201.40128584437124), (-1,0), rgb(0, 0, 0));\u000alabel("$116$", (-8.727272727272727,235.97661388632335), (-1,0), rgb(0, 0, 0));\u000adraw((-6.0606, 63.1)--(0.60606, 63.1), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,97.6753)--(0.60606,97.6753), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,132.251)--(0.60606,132.251), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,166.826)--(0.60606,166.826), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,201.401)--(0.60606,201.401), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,235.977)--(0.60606,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,2.59315)--(-2.0606,2.59315), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,11.237)--(-2.0606,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,19.8808)--(-2.0606,19.8808), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,37.1685)--(-2.0606,37.1685), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,45.8123)--(-2.0606,45.8123), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,54.4561)--(-2.0606,54.4561), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,71.7438)--(-2.0606,71.7438), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,80.3876)--(-2.0606,80.3876), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,89.0315)--(-2.0606,89.0315), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,106.319)--(-2.0606,106.319), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,114.963)--(-2.0606,114.963), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,123.607)--(-2.0606,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,140.894)--(-2.0606,140.894), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,149.538)--(-2.0606,149.538), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,158.182)--(-2.0606,158.182), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,175.47)--(-2.0606,175.47), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,184.114)--(-2.0606,184.114), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,192.757)--(-2.0606,192.757), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,210.045)--(-2.0606,210.045), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,218.689)--(-2.0606,218.689), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,227.333)--(-2.0606,227.333), rgb(0, 0, 0)+linewidth(0.66667));draw((-6.0606,244.62)--(-2.0606,244.62), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p14977
sg15
I8
sass(g1696
g13923
VToExpression
p14978
I0
tp14979
(dp14980
g6
VToExpression["1 + 2"]
p14981
sg8
(lp14982
(dp14983
g11
(lp14984
sg13
V3
p14985
sg15
I1
sass(g1696
g13923
g14978
I1
tp14986
(dp14987
g6
VToExpression["{2, 3, 1}", InputForm, Max]
p14988
sg8
(lp14989
(dp14990
g11
(lp14991
sg13
V3
p14992
sg15
I2
sass(g1696
g13923
VToLowerCase
p14993
I0
tp14994
(dp14995
g6
VToLowerCase["New York"]
p14996
sg8
(lp14997
(dp14998
g11
(lp14999
sg13
V\u005ctext{new york}
p15000
sg15
I1
sass(g1696
g13923
VToString
p15001
I0
tp15002
(dp15003
g6
VToString[2]
p15004
sg8
(lp15005
(dp15006
g11
(lp15007
sg13
V\u005ctext{2}
p15008
sg15
I1
sass(g1696
g13923
g15001
I1
tp15009
(dp15010
g6
VToString[2] // InputForm
p15011
sg8
(lp15012
(dp15013
g11
(lp15014
sg13
V\u005ctext{"2"}
p15015
sg15
I2
sass(g1696
g13923
g15001
I2
tp15016
(dp15017
g6
VToString[a+b]
p15018
sg8
(lp15019
(dp15020
g11
(lp15021
sg13
V\u005ctext{a + b}
p15022
sg15
I3
sass(g1696
g13923
g15001
I3
tp15023
(dp15024
g6
V"U" <> 2
p15025
sg8
(lp15026
(dp15027
g11
(lp15028
(dp15029
g149
I01
sg150
VStringJoin
p15030
sg152
g384
sg154
VStringJoin::string
p15031
sg156
g386
sasg13
V\u005ctext{U}\u005ctext{<>}2
p15032
sg15
I4
sass(g1696
g13923
g15001
I4
tp15033
(dp15034
g6
V"U" <> ToString[2]
p15035
sg8
(lp15036
(dp15037
g11
(lp15038
sg13
V\u005ctext{U2}
p15039
sg15
I5
sass(g1696
g13923
VToUpperCase
p15040
I0
tp15041
(dp15042
g6
VToUpperCase["New York"]
p15043
sg8
(lp15044
(dp15045
g11
(lp15046
sg13
V\u005ctext{NEW YORK}
p15047
sg15
I1
sass(g1696
g13923
VUpperCaseQ
p15048
I0
tp15049
(dp15050
g6
VUpperCaseQ["ABC"]
p15051
sg8
(lp15052
(dp15053
g11
(lp15054
sg13
V\u005ctext{True}
p15055
sg15
I1
sass(g1696
g13923
g15048
I1
tp15056
(dp15057
g6
VUpperCaseQ[""]
p15058
sg8
(lp15059
(dp15060
g11
(lp15061
sg13
V\u005ctext{True}
p15062
sg15
I2
sass(g1696
g13923
VWhitespace
p15063
I0
tp15064
(dp15065
g6
VStringMatchQ["\u005cr \u005cn", Whitespace]
p15066
sg8
(lp15067
(dp15068
g11
(lp15069
sg13
V\u005ctext{True}
p15070
sg15
I1
sass(g1696
g13923
g15063
I1
tp15071
(dp15072
g6
VStringSplit["a  \u005cn b \u005cr\u005cn c d", Whitespace]
p15073
sg8
(lp15074
(dp15075
g11
(lp15076
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d}\u005cright\u005c}
p15077
sg15
I2
sass(g1696
g13923
g15063
I2
tp15078
(dp15079
g6
VStringReplace[" this has leading and trailing whitespace \u005cn ", (StartOfString ~~ Whitespace) | (Whitespace ~~ EndOfString) -> ""] <> " removed" // FullForm
p15080
sg8
(lp15081
(dp15082
g11
(lp15083
sg13
V\u005ctext{"this has leading and trailing whitespace removed"}
p15084
sg15
I3
sass(g1696
g13923
VWhitespaceCharacter
p15085
I0
tp15086
(dp15087
g6
VStringMatchQ["\u005cn", WhitespaceCharacter]
p15088
sg8
(lp15089
(dp15090
g11
(lp15091
sg13
V\u005ctext{True}
p15092
sg15
I1
sass(g1696
g13923
g15085
I1
tp15093
(dp15094
g6
VStringSplit["a\u005cnb\u005cr\u005cnc\u005crd", WhitespaceCharacter]
p15095
sg8
(lp15096
(dp15097
g11
(lp15098
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d}\u005cright\u005c}
p15099
sg15
I2
sass(g1696
g13923
g15085
I2
tp15100
(dp15101
g6
VStringMatchQ[" \u005cn", WhitespaceCharacter]
p15102
sg8
(lp15103
(dp15104
g11
(lp15105
sg13
V\u005ctext{False}
p15106
sg15
I3
sass(g1696
g13923
g15085
I3
tp15107
(dp15108
g6
VStringMatchQ[" \u005cn", Whitespace]
p15109
sg8
(lp15110
(dp15111
g11
(lp15112
sg13
V\u005ctext{True}
p15113
sg15
I4
sass(g1696
g13923
VWordBoundary
p15114
I0
tp15115
(dp15116
g6
VStringReplace["apple banana orange artichoke", "e" ~~ WordBoundary -> "E"]
p15117
sg8
(lp15118
(dp15119
g11
(lp15120
sg13
V\u005ctext{applE banana orangE artichokE}
p15121
sg15
I1
sass(g1696
g13923
VWordCharacter
p15122
I0
tp15123
(dp15124
g6
VStringMatchQ[#, WordCharacter] &/@ {"1", "a", "A", ",", " "}
p15125
sg8
(lp15126
(dp15127
g11
(lp15128
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p15129
sg15
I1
sass(g1696
g13923
g15122
I1
tp15130
(dp15131
g6
VStringMatchQ["abc123DEF", WordCharacter..]
p15132
sg8
(lp15133
(dp15134
g11
(lp15135
sg13
V\u005ctext{True}
p15136
sg15
I2
sass(g1696
g13923
g15122
I2
tp15137
(dp15138
g6
VStringMatchQ["$b;123", WordCharacter..]
p15139
sg8
(lp15140
(dp15141
g11
(lp15142
sg13
V\u005ctext{False}
p15143
sg15
I3
sass(g1696
VOptimization
p15144
VMaximize
p15145
I0
tp15146
(dp15147
g6
VMaximize[-2 x^2 - 3 x + 5, x]
p15148
sg8
(lp15149
(dp15150
g11
(lp15151
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{49}{8},\u005cleft\u005c{x->-\u005cfrac{3}{4}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p15152
sg15
I1
sass(g1696
g15144
VMinimize
p15153
I0
tp15154
(dp15155
g6
VMinimize[2 x^2 - 3 x + 5, x]
p15156
sg8
(lp15157
(dp15158
g11
(lp15159
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{31}{8},\u005cleft\u005c{x->\u005cfrac{3}{4}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p15160
sg15
I1
sass(g1696
VImage[] and image related functions.
p15161
VBinarize
p15162
I0
tp15163
(dp15164
g6
Vimg = Import["ExampleData/lena.tif"];
p15165
sg8
(lp15166
(dp15167
g11
(lp15168
sg13
Nsg15
I1
sass(g1696
g15161
g15162
I1
tp15169
(dp15170
g6
VBinarize[img]
p15171
sg8
(lp15172
(dp15173
g11
(lp15174
sg13
V-Image-
p15175
sg15
I2
sass(g1696
g15161
g15162
I2
tp15176
(dp15177
g6
VBinarize[img, 0.7]
p15178
sg8
(lp15179
(dp15180
g11
(lp15181
sg13
g15175
sg15
I3
sass(g1696
g15161
g15162
I3
tp15182
(dp15183
g6
VBinarize[img, {0.2, 0.6}]
p15184
sg8
(lp15185
(dp15186
g11
(lp15187
sg13
g15175
sg15
I4
sass(g1696
g15161
VBinaryImageQ
p15188
I0
tp15189
(dp15190
g6
Vimg = Import["ExampleData/lena.tif"];
p15191
sg8
(lp15192
(dp15193
g11
(lp15194
sg13
Nsg15
I1
sass(g1696
g15161
g15188
I1
tp15195
(dp15196
g6
VBinaryImageQ[img]
p15197
sg8
(lp15198
(dp15199
g11
(lp15200
sg13
V\u005ctext{False}
p15201
sg15
I2
sass(g1696
g15161
g15188
I2
tp15202
(dp15203
g6
VBinaryImageQ[Binarize[img]]
p15204
sg8
(lp15205
(dp15206
g11
(lp15207
sg13
V\u005ctext{True}
p15208
sg15
I3
sass(g1696
g15161
VBlur
p15209
I0
tp15210
(dp15211
g6
Vlena = Import["ExampleData/lena.tif"];
p15212
sg8
(lp15213
(dp15214
g11
(lp15215
sg13
Nsg15
I1
sass(g1696
g15161
g15209
I1
tp15216
(dp15217
g6
VBlur[lena]
p15218
sg8
(lp15219
(dp15220
g11
(lp15221
sg13
g15175
sg15
I2
sass(g1696
g15161
g15209
I2
tp15222
(dp15223
g6
VBlur[lena, 5]
p15224
sg8
(lp15225
(dp15226
g11
(lp15227
sg13
g15175
sg15
I3
sass(g1696
g15161
VBoxMatrix
p15228
I0
tp15229
(dp15230
g6
VBoxMatrix[3]
p15231
sg8
(lp15232
(dp15233
g11
(lp15234
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c}\u005cright\u005c}
p15235
sg15
I1
sass(g1696
g15161
VClosing
p15236
I0
tp15237
(dp15238
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15239
sg8
(lp15240
(dp15241
g11
(lp15242
sg13
Nsg15
I1
sass(g1696
g15161
g15236
I1
tp15243
(dp15244
g6
VClosing[ein, 2.5]
p15245
sg8
(lp15246
(dp15247
g11
(lp15248
sg13
g15175
sg15
I2
sass(g1696
g15161
VColorCombine
p15249
I0
tp15250
(dp15251
g6
VColorCombine[{{{1, 0}, {0, 0.75}}, {{0, 1}, {0, 0.25}}, {{0, 0}, {1, 0.5}}}, "RGB"]
p15252
sg8
(lp15253
(dp15254
g11
(lp15255
sg13
g15175
sg15
I1
sass(g1696
g15161
VColorQuantize
p15256
I0
tp15257
(dp15258
g6
Vimg = Import["ExampleData/lena.tif"];
p15259
sg8
(lp15260
(dp15261
g11
(lp15262
sg13
Nsg15
I1
sass(g1696
g15161
g15256
I1
tp15263
(dp15264
g6
VColorQuantize[img, 6]
p15265
sg8
(lp15266
(dp15267
g11
(lp15268
sg13
g15175
sg15
I2
sass(g1696
g15161
VColorize
p15269
I0
tp15270
(dp15271
g6
VColorize[{{1.3, 2.1, 1.5}, {1.3, 1.3, 2.1}, {1.3, 2.1, 1.5}}]
p15272
sg8
(lp15273
(dp15274
g11
(lp15275
sg13
g15175
sg15
I1
sass(g1696
g15161
g15269
I1
tp15276
(dp15277
g6
VColorize[{{1, 2}, {2, 2}, {2, 3}}, ColorFunction -> (Blend[{White, Blue}, #]&)]
p15278
sg8
(lp15279
(dp15280
g11
(lp15281
sg13
g15175
sg15
I2
sass(g1696
g15161
VDiamondMatrix
p15282
I0
tp15283
(dp15284
g6
VDiamondMatrix[3]
p15285
sg8
(lp15286
(dp15287
g11
(lp15288
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,0,0,1,0,0,0\u005cright\u005c},\u005cleft\u005c{0,0,1,1,1,0,0\u005cright\u005c},\u005cleft\u005c{0,1,1,1,1,1,0\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{0,1,1,1,1,1,0\u005cright\u005c},\u005cleft\u005c{0,0,1,1,1,0,0\u005cright\u005c},\u005cleft\u005c{0,0,0,1,0,0,0\u005cright\u005c}\u005cright\u005c}
p15289
sg15
I1
sass(g1696
g15161
VDilation
p15290
I0
tp15291
(dp15292
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15293
sg8
(lp15294
(dp15295
g11
(lp15296
sg13
Nsg15
I1
sass(g1696
g15161
g15290
I1
tp15297
(dp15298
g6
VDilation[ein, 2.5]
p15299
sg8
(lp15300
(dp15301
g11
(lp15302
sg13
g15175
sg15
I2
sass(g1696
g15161
VDiskMatrix
p15303
I0
tp15304
(dp15305
g6
VDiskMatrix[3]
p15306
sg8
(lp15307
(dp15308
g11
(lp15309
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,0,1,1,1,0,0\u005cright\u005c},\u005cleft\u005c{0,1,1,1,1,1,0\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{1,1,1,1,1,1,1\u005cright\u005c},\u005cleft\u005c{0,1,1,1,1,1,0\u005cright\u005c},\u005cleft\u005c{0,0,1,1,1,0,0\u005cright\u005c}\u005cright\u005c}
p15310
sg15
I1
sass(g1696
g15161
VDominantColors
p15311
I0
tp15312
(dp15313
g6
Vimg = Import["ExampleData/lena.tif"]
p15314
sg8
(lp15315
(dp15316
g11
(lp15317
sg13
g15175
sg15
I1
sass(g1696
g15161
g15311
I1
tp15318
(dp15319
g6
VDominantColors[img]
p15320
sg8
(lp15321
(dp15322
g11
(lp15323
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.82745, 0.53725, 0.48627), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.87451, 0.43922, 0.45098), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.34118, 0.070588, 0.2549), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.6902, 0.26667, 0.3098), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.53333, 0.19216, 0.29804), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.87843, 0.76078, 0.72157), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright\u005c}
p15324
sg15
I2
sass(g1696
g15161
g15311
I2
tp15325
(dp15326
g6
VDominantColors[img, 3]
p15327
sg8
(lp15328
(dp15329
g11
(lp15330
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.82745, 0.53725, 0.48627), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.87451, 0.43922, 0.45098), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.34118, 0.070588, 0.2549), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright\u005c}
p15331
sg15
I3
sass(g1696
g15161
g15311
I3
tp15332
(dp15333
g6
VDominantColors[img, 3, "Coverage"]
p15334
sg8
(lp15335
(dp15336
g11
(lp15337
sg13
V\u005cleft\u005c{\u005cfrac{28579}{131072},\u005cfrac{751}{4096},\u005cfrac{23841}{131072}\u005cright\u005c}
p15338
sg15
I4
sass(g1696
g15161
g15311
I4
tp15339
(dp15340
g6
VDominantColors[img, 3, "CoverageImage"]
p15341
sg8
(lp15342
(dp15343
g11
(lp15344
sg13
V\u005cleft\u005c{-Image-,-Image-,-Image-\u005cright\u005c}
p15345
sg15
I5
sass(g1696
g15161
g15311
I5
tp15346
(dp15347
g6
VDominantColors[img, 3, "Count"]
p15348
sg8
(lp15349
(dp15350
g11
(lp15351
sg13
V\u005cleft\u005c{57158,48064,47682\u005cright\u005c}
p15352
sg15
I6
sass(g1696
g15161
g15311
I6
tp15353
(dp15354
g6
VDominantColors[img, 2, "LABColor"]
p15355
sg8
(lp15356
(dp15357
g11
(lp15358
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.82745, 0.53725, 0.48627), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.87451, 0.43921, 0.45098), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright\u005c}
p15359
sg15
I7
sass(g1696
g15161
g15311
I7
tp15360
(dp15361
g6
VDominantColors[img, MinColorDistance -> 0.5]
p15362
sg8
(lp15363
(dp15364
g11
(lp15365
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.87451, 0.43922, 0.45098), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.34118, 0.070588, 0.2549), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright\u005c}
p15366
sg15
I8
sass(g1696
g15161
g15311
I8
tp15367
(dp15368
g6
VDominantColors[img, ColorCoverage -> 0.15]
p15369
sg8
(lp15370
(dp15371
g11
(lp15372
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.82745, 0.53725, 0.48627), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.87451, 0.43922, 0.45098), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.34118, 0.070588, 0.2549), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a\u005cright\u005c}
p15373
sg15
I9
sass(g1696
g15161
VEdgeDetect
p15374
I0
tp15375
(dp15376
g6
Vlena = Import["ExampleData/lena.tif"];
p15377
sg8
(lp15378
(dp15379
g11
(lp15380
sg13
Nsg15
I1
sass(g1696
g15161
g15374
I1
tp15381
(dp15382
g6
VEdgeDetect[lena]
p15383
sg8
(lp15384
(dp15385
g11
(lp15386
sg13
g15175
sg15
I2
sass(g1696
g15161
g15374
I2
tp15387
(dp15388
g6
VEdgeDetect[lena, 5]
p15389
sg8
(lp15390
(dp15391
g11
(lp15392
sg13
g15175
sg15
I3
sass(g1696
g15161
g15374
I3
tp15393
(dp15394
g6
VEdgeDetect[lena, 4, 0.5]
p15395
sg8
(lp15396
(dp15397
g11
(lp15398
sg13
g15175
sg15
I4
sass(g1696
g15161
VErosion
p15399
I0
tp15400
(dp15401
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15402
sg8
(lp15403
(dp15404
g11
(lp15405
sg13
Nsg15
I1
sass(g1696
g15161
g15399
I1
tp15406
(dp15407
g6
VErosion[ein, 2.5]
p15408
sg8
(lp15409
(dp15410
g11
(lp15411
sg13
g15175
sg15
I2
sass(g1696
g15161
VGaussianFilter
p15412
I0
tp15413
(dp15414
g6
Vlena = Import["ExampleData/lena.tif"];
p15415
sg8
(lp15416
(dp15417
g11
(lp15418
sg13
Nsg15
I1
sass(g1696
g15161
g15412
I1
tp15419
(dp15420
g6
VGaussianFilter[lena, 2.5]
p15421
sg8
(lp15422
(dp15423
g11
(lp15424
sg13
g15175
sg15
I2
sass(g1696
g15161
VImageAdd
p15425
I0
tp15426
(dp15427
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p15428
sg8
(lp15429
(dp15430
g11
(lp15431
sg13
Nsg15
I1
sass(g1696
g15161
g15425
I1
tp15432
(dp15433
g6
VImageAdd[i, 0.5]
p15434
sg8
(lp15435
(dp15436
g11
(lp15437
sg13
g15175
sg15
I2
sass(g1696
g15161
g15425
I2
tp15438
(dp15439
g6
VImageAdd[i, i]
p15440
sg8
(lp15441
(dp15442
g11
(lp15443
sg13
g15175
sg15
I3
sass(g1696
g15161
g15425
I5
tp15444
(dp15445
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15446
sg8
(lp15447
(dp15448
g11
(lp15449
sg13
Nsg15
I4
sass(g1696
g15161
g15425
I6
tp15450
(dp15451
g6
Vnoise = RandomImage[{-0.1, 0.1}, ImageDimensions[ein]];
p15452
sg8
(lp15453
(dp15454
g11
(lp15455
sg13
Nsg15
I5
sass(g1696
g15161
g15425
I7
tp15456
(dp15457
g6
VImageAdd[noise, ein]
p15458
sg8
(lp15459
(dp15460
g11
(lp15461
sg13
g15175
sg15
I6
sass(g1696
g15161
g15425
I8
tp15462
(dp15463
g6
Vlena = Import["ExampleData/lena.tif"];
p15464
sg8
(lp15465
(dp15466
g11
(lp15467
sg13
Nsg15
I7
sass(g1696
g15161
g15425
I9
tp15468
(dp15469
g6
Vnoise = RandomImage[{-0.2, 0.2}, ImageDimensions[lena], ColorSpace -> "RGB"];
p15470
sg8
(lp15471
(dp15472
g11
(lp15473
sg13
Nsg15
I8
sass(g1696
g15161
g15425
I10
tp15474
(dp15475
g6
VImageAdd[noise, lena]
p15476
sg8
(lp15477
(dp15478
g11
(lp15479
sg13
g15175
sg15
I9
sass(g1696
g15161
VImageAdjust
p15480
I0
tp15481
(dp15482
g6
Vlena = Import["ExampleData/lena.tif"];
p15483
sg8
(lp15484
(dp15485
g11
(lp15486
sg13
Nsg15
I1
sass(g1696
g15161
g15480
I1
tp15487
(dp15488
g6
VImageAdjust[lena]
p15489
sg8
(lp15490
(dp15491
g11
(lp15492
sg13
g15175
sg15
I2
sass(g1696
g15161
VImageAspectRatio
p15493
I0
tp15494
(dp15495
g6
Vimg = Import["ExampleData/lena.tif"];
p15496
sg8
(lp15497
(dp15498
g11
(lp15499
sg13
Nsg15
I1
sass(g1696
g15161
g15493
I1
tp15500
(dp15501
g6
VImageAspectRatio[img]
p15502
sg8
(lp15503
(dp15504
g11
(lp15505
sg13
V1
p15506
sg15
I2
sass(g1696
g15161
g15493
I2
tp15507
(dp15508
g6
VImageAspectRatio[Image[{{0, 1}, {1, 0}, {1, 1}}]]
p15509
sg8
(lp15510
(dp15511
g11
(lp15512
sg13
V\u005cfrac{3}{2}
p15513
sg15
I3
sass(g1696
g15161
VImageChannels
p15514
I0
tp15515
(dp15516
g6
VImageChannels[Image[{{0, 1}, {1, 0}}]]
p15517
sg8
(lp15518
(dp15519
g11
(lp15520
sg13
V1
p15521
sg15
I1
sass(g1696
g15161
g15514
I1
tp15522
(dp15523
g6
Vimg = Import["ExampleData/lena.tif"];
p15524
sg8
(lp15525
(dp15526
g11
(lp15527
sg13
Nsg15
I2
sass(g1696
g15161
g15514
I2
tp15528
(dp15529
g6
VImageChannels[img]
p15530
sg8
(lp15531
(dp15532
g11
(lp15533
sg13
V3
p15534
sg15
I3
sass(g1696
g15161
VImageColorSpace
p15535
I0
tp15536
(dp15537
g6
Vimg = Import["ExampleData/lena.tif"];
p15538
sg8
(lp15539
(dp15540
g11
(lp15541
sg13
Nsg15
I1
sass(g1696
g15161
g15535
I1
tp15542
(dp15543
g6
VImageColorSpace[img]
p15544
sg8
(lp15545
(dp15546
g11
(lp15547
sg13
V\u005ctext{RGB}
p15548
sg15
I2
sass(g1696
g15161
VImageConvolve
p15549
I0
tp15550
(dp15551
g6
Vimg = Import["ExampleData/lena.tif"];
p15552
sg8
(lp15553
(dp15554
g11
(lp15555
sg13
Nsg15
I1
sass(g1696
g15161
g15549
I1
tp15556
(dp15557
g6
VImageConvolve[img, DiamondMatrix[5] / 61]
p15558
sg8
(lp15559
(dp15560
g11
(lp15561
sg13
g15175
sg15
I2
sass(g1696
g15161
g15549
I2
tp15562
(dp15563
g6
VImageConvolve[img, DiskMatrix[5] / 97]
p15564
sg8
(lp15565
(dp15566
g11
(lp15567
sg13
g15175
sg15
I3
sass(g1696
g15161
g15549
I3
tp15568
(dp15569
g6
VImageConvolve[img, BoxMatrix[5] / 121]
p15570
sg8
(lp15571
(dp15572
g11
(lp15573
sg13
g15175
sg15
I4
sass(g1696
g15161
VImageData
p15574
I0
tp15575
(dp15576
g6
Vimg = Image[{{0.2, 0.4}, {0.9, 0.6}, {0.5, 0.8}}];
p15577
sg8
(lp15578
(dp15579
g11
(lp15580
sg13
Nsg15
I1
sass(g1696
g15161
g15574
I1
tp15581
(dp15582
g6
VImageData[img]
p15583
sg8
(lp15584
(dp15585
g11
(lp15586
sg13
V\u005cleft\u005c{\u005cleft\u005c{0.2,0.4\u005cright\u005c},\u005cleft\u005c{0.9,0.6\u005cright\u005c},\u005cleft\u005c{0.5,0.8\u005cright\u005c}\u005cright\u005c}
p15587
sg15
I2
sass(g1696
g15161
g15574
I2
tp15588
(dp15589
g6
VImageData[img, "Byte"]
p15590
sg8
(lp15591
(dp15592
g11
(lp15593
sg13
V\u005cleft\u005c{\u005cleft\u005c{51,102\u005cright\u005c},\u005cleft\u005c{229,153\u005cright\u005c},\u005cleft\u005c{127,204\u005cright\u005c}\u005cright\u005c}
p15594
sg15
I3
sass(g1696
g15161
g15574
I3
tp15595
(dp15596
g6
VImageData[Image[{{0, 1}, {1, 0}, {1, 1}}], "Bit"]
p15597
sg8
(lp15598
(dp15599
g11
(lp15600
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,1\u005cright\u005c},\u005cleft\u005c{1,0\u005cright\u005c},\u005cleft\u005c{1,1\u005cright\u005c}\u005cright\u005c}
p15601
sg15
I4
sass(g1696
g15161
VImageDimensions
p15602
I0
tp15603
(dp15604
g6
Vlena = Import["ExampleData/lena.tif"];
p15605
sg8
(lp15606
(dp15607
g11
(lp15608
sg13
Nsg15
I1
sass(g1696
g15161
g15602
I1
tp15609
(dp15610
g6
VImageDimensions[lena]
p15611
sg8
(lp15612
(dp15613
g11
(lp15614
sg13
V\u005cleft\u005c{512,512\u005cright\u005c}
p15615
sg15
I2
sass(g1696
g15161
g15602
I2
tp15616
(dp15617
g6
VImageDimensions[RandomImage[1, {50, 70}]]
p15618
sg8
(lp15619
(dp15620
g11
(lp15621
sg13
V\u005cleft\u005c{50,70\u005cright\u005c}
p15622
sg15
I3
sass(g1696
g15161
VImageImport
p15623
I0
tp15624
(dp15625
g6
VImport["ExampleData/Einstein.jpg"]
p15626
sg8
(lp15627
(dp15628
g11
(lp15629
sg13
g15175
sg15
I1
sass(g1696
g15161
g15623
I2
tp15630
(dp15631
g6
VImport["ExampleData/MadTeaParty.gif"]
p15632
sg8
(lp15633
(dp15634
g11
(lp15635
sg13
g15175
sg15
I2
sass(g1696
g15161
g15623
I3
tp15636
(dp15637
g6
VImport["ExampleData/moon.tif"]
p15638
sg8
(lp15639
(dp15640
g11
(lp15641
sg13
g15175
sg15
I3
sass(g1696
g15161
VImageMultiply
p15642
I0
tp15643
(dp15644
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p15645
sg8
(lp15646
(dp15647
g11
(lp15648
sg13
Nsg15
I1
sass(g1696
g15161
g15642
I1
tp15649
(dp15650
g6
VImageMultiply[i, 0.2]
p15651
sg8
(lp15652
(dp15653
g11
(lp15654
sg13
g15175
sg15
I2
sass(g1696
g15161
g15642
I2
tp15655
(dp15656
g6
VImageMultiply[i, i]
p15657
sg8
(lp15658
(dp15659
g11
(lp15660
sg13
g15175
sg15
I3
sass(g1696
g15161
g15642
I5
tp15661
(dp15662
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15663
sg8
(lp15664
(dp15665
g11
(lp15666
sg13
Nsg15
I4
sass(g1696
g15161
g15642
I6
tp15667
(dp15668
g6
Vnoise = RandomImage[{0.7, 1.3}, ImageDimensions[ein]];
p15669
sg8
(lp15670
(dp15671
g11
(lp15672
sg13
Nsg15
I5
sass(g1696
g15161
g15642
I7
tp15673
(dp15674
g6
VImageMultiply[noise, ein]
p15675
sg8
(lp15676
(dp15677
g11
(lp15678
sg13
g15175
sg15
I6
sass(g1696
g15161
VImagePartition
p15679
I0
tp15680
(dp15681
g6
Vlena = Import["ExampleData/lena.tif"];
p15682
sg8
(lp15683
(dp15684
g11
(lp15685
sg13
Nsg15
I1
sass(g1696
g15161
g15679
I1
tp15686
(dp15687
g6
VImageDimensions[lena]
p15688
sg8
(lp15689
(dp15690
g11
(lp15691
sg13
V\u005cleft\u005c{512,512\u005cright\u005c}
p15692
sg15
I2
sass(g1696
g15161
g15679
I2
tp15693
(dp15694
g6
VImagePartition[lena, 256]
p15695
sg8
(lp15696
(dp15697
g11
(lp15698
sg13
V\u005cleft\u005c{\u005cleft\u005c{-Image-,-Image-\u005cright\u005c},\u005cleft\u005c{-Image-,-Image-\u005cright\u005c}\u005cright\u005c}
p15699
sg15
I3
sass(g1696
g15161
g15679
I3
tp15700
(dp15701
g6
VImagePartition[lena, {512, 128}]
p15702
sg8
(lp15703
(dp15704
g11
(lp15705
sg13
V\u005cleft\u005c{\u005cleft\u005c{-Image-\u005cright\u005c},\u005cleft\u005c{-Image-\u005cright\u005c},\u005cleft\u005c{-Image-\u005cright\u005c},\u005cleft\u005c{-Image-\u005cright\u005c}\u005cright\u005c}
p15706
sg15
I4
sass(g1696
g15161
VImageQ
p15707
I0
tp15708
(dp15709
g6
VImageQ[Image[{{0, 1}, {1, 0}}]]
p15710
sg8
(lp15711
(dp15712
g11
(lp15713
sg13
V\u005ctext{True}
p15714
sg15
I1
sass(g1696
g15161
g15707
I1
tp15715
(dp15716
g6
VImageQ[Image[{{{0, 0, 0}, {0, 1, 0}}, {{0, 1, 0}, {0, 1, 1}}}]]
p15717
sg8
(lp15718
(dp15719
g11
(lp15720
sg13
V\u005ctext{True}
p15721
sg15
I2
sass(g1696
g15161
g15707
I2
tp15722
(dp15723
g6
VImageQ[Image[{{{0, 0, 0}, {0, 1}}, {{0, 1, 0}, {0, 1, 1}}}]]
p15724
sg8
(lp15725
(dp15726
g11
(lp15727
sg13
V\u005ctext{False}
p15728
sg15
I3
sass(g1696
g15161
g15707
I3
tp15729
(dp15730
g6
VImageQ[Image[{1, 0, 1}]]
p15731
sg8
(lp15732
(dp15733
g11
(lp15734
sg13
V\u005ctext{False}
p15735
sg15
I4
sass(g1696
g15161
g15707
I4
tp15736
(dp15737
g6
VImageQ["abc"]
p15738
sg8
(lp15739
(dp15740
g11
(lp15741
sg13
V\u005ctext{False}
p15742
sg15
I5
sass(g1696
g15161
VImageReflect
p15743
I0
tp15744
(dp15745
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15746
sg8
(lp15747
(dp15748
g11
(lp15749
sg13
Nsg15
I1
sass(g1696
g15161
g15743
I1
tp15750
(dp15751
g6
VImageReflect[ein]
p15752
sg8
(lp15753
(dp15754
g11
(lp15755
sg13
g15175
sg15
I2
sass(g1696
g15161
g15743
I2
tp15756
(dp15757
g6
VImageReflect[ein, Left]
p15758
sg8
(lp15759
(dp15760
g11
(lp15761
sg13
g15175
sg15
I3
sass(g1696
g15161
g15743
I3
tp15762
(dp15763
g6
VImageReflect[ein, Left -> Top]
p15764
sg8
(lp15765
(dp15766
g11
(lp15767
sg13
g15175
sg15
I4
sass(g1696
g15161
VImageResize
p15768
I0
tp15769
(dp15770
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15771
sg8
(lp15772
(dp15773
g11
(lp15774
sg13
Nsg15
I1
sass(g1696
g15161
g15768
I1
tp15775
(dp15776
g6
VImageDimensions[ein]
p15777
sg8
(lp15778
(dp15779
g11
(lp15780
sg13
V\u005cleft\u005c{615,768\u005cright\u005c}
p15781
sg15
I2
sass(g1696
g15161
g15768
I2
tp15782
(dp15783
g6
VImageResize[ein, {400, 600}]
p15784
sg8
(lp15785
(dp15786
g11
(lp15787
sg13
g15175
sg15
I3
sass(g1696
g15161
g15768
I4
tp15788
(dp15789
g6
VImageResize[ein, 256]
p15790
sg8
(lp15791
(dp15792
g11
(lp15793
sg13
g15175
sg15
I4
sass(g1696
g15161
g15768
I5
tp15794
(dp15795
g6
VImageDimensions[%]
p15796
sg8
(lp15797
(dp15798
g11
(lp15799
sg13
V\u005cleft\u005c{256,320\u005cright\u005c}
p15800
sg15
I5
sass(g1696
g15161
g15768
I6
tp15801
(dp15802
g6
VImageResize[ein, 256, Resampling -> "Bicubic"]
p15803
sg8
(lp15804
(dp15805
g11
(lp15806
sg13
g15175
sg15
I6
sass(g1696
g15161
g15768
I8
tp15807
(dp15808
g6
VImageResize[ein, 256, Resampling -> "Nearest"]
p15809
sg8
(lp15810
(dp15811
g11
(lp15812
sg13
g15175
sg15
I7
sass(g1696
g15161
g15768
I10
tp15813
(dp15814
g6
VImageResize[ein, 256, Resampling -> "Gaussian"]
p15815
sg8
(lp15816
(dp15817
g11
(lp15818
sg13
g15175
sg15
I8
sass(g1696
g15161
VImageRotate
p15819
I0
tp15820
(dp15821
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15822
sg8
(lp15823
(dp15824
g11
(lp15825
sg13
Nsg15
I1
sass(g1696
g15161
g15819
I1
tp15826
(dp15827
g6
VImageRotate[ein]
p15828
sg8
(lp15829
(dp15830
g11
(lp15831
sg13
g15175
sg15
I2
sass(g1696
g15161
g15819
I2
tp15832
(dp15833
g6
VImageRotate[ein, 45 Degree]
p15834
sg8
(lp15835
(dp15836
g11
(lp15837
sg13
g15175
sg15
I3
sass(g1696
g15161
g15819
I3
tp15838
(dp15839
g6
VImageRotate[ein, Pi / 2]
p15840
sg8
(lp15841
(dp15842
g11
(lp15843
sg13
g15175
sg15
I4
sass(g1696
g15161
VImageSubtract
p15844
I0
tp15845
(dp15846
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p15847
sg8
(lp15848
(dp15849
g11
(lp15850
sg13
Nsg15
I1
sass(g1696
g15161
g15844
I1
tp15851
(dp15852
g6
VImageSubtract[i, 0.2]
p15853
sg8
(lp15854
(dp15855
g11
(lp15856
sg13
g15175
sg15
I2
sass(g1696
g15161
g15844
I2
tp15857
(dp15858
g6
VImageSubtract[i, i]
p15859
sg8
(lp15860
(dp15861
g11
(lp15862
sg13
g15175
sg15
I3
sass(g1696
g15161
VImageType
p15863
I0
tp15864
(dp15865
g6
Vimg = Import["ExampleData/lena.tif"];
p15866
sg8
(lp15867
(dp15868
g11
(lp15869
sg13
Nsg15
I1
sass(g1696
g15161
g15863
I1
tp15870
(dp15871
g6
VImageType[img]
p15872
sg8
(lp15873
(dp15874
g11
(lp15875
sg13
V\u005ctext{Byte}
p15876
sg15
I2
sass(g1696
g15161
g15863
I2
tp15877
(dp15878
g6
VImageType[Image[{{0, 1}, {1, 0}}]]
p15879
sg8
(lp15880
(dp15881
g11
(lp15882
sg13
V\u005ctext{Real}
p15883
sg15
I3
sass(g1696
g15161
g15863
I3
tp15884
(dp15885
g6
VImageType[Binarize[img]]
p15886
sg8
(lp15887
(dp15888
g11
(lp15889
sg13
V\u005ctext{Bit}
p15890
sg15
I4
sass(g1696
g15161
VMaxFilter
p15891
I0
tp15892
(dp15893
g6
Vlena = Import["ExampleData/lena.tif"];
p15894
sg8
(lp15895
(dp15896
g11
(lp15897
sg13
Nsg15
I1
sass(g1696
g15161
g15891
I1
tp15898
(dp15899
g6
VMaxFilter[lena, 5]
p15900
sg8
(lp15901
(dp15902
g11
(lp15903
sg13
g15175
sg15
I2
sass(g1696
g15161
VMedianFilter
p15904
I0
tp15905
(dp15906
g6
Vlena = Import["ExampleData/lena.tif"];
p15907
sg8
(lp15908
(dp15909
g11
(lp15910
sg13
Nsg15
I1
sass(g1696
g15161
g15904
I1
tp15911
(dp15912
g6
VMedianFilter[lena, 5]
p15913
sg8
(lp15914
(dp15915
g11
(lp15916
sg13
g15175
sg15
I2
sass(g1696
g15161
VMinFilter
p15917
I0
tp15918
(dp15919
g6
Vlena = Import["ExampleData/lena.tif"];
p15920
sg8
(lp15921
(dp15922
g11
(lp15923
sg13
Nsg15
I1
sass(g1696
g15161
g15917
I1
tp15924
(dp15925
g6
VMinFilter[lena, 5]
p15926
sg8
(lp15927
(dp15928
g11
(lp15929
sg13
g15175
sg15
I2
sass(g1696
g15161
VOpening
p15930
I0
tp15931
(dp15932
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15933
sg8
(lp15934
(dp15935
g11
(lp15936
sg13
Nsg15
I1
sass(g1696
g15161
g15930
I1
tp15937
(dp15938
g6
VOpening[ein, 2.5]
p15939
sg8
(lp15940
(dp15941
g11
(lp15942
sg13
g15175
sg15
I2
sass(g1696
g15161
VPixelValue
p15943
I0
tp15944
(dp15945
g6
Vlena = Import["ExampleData/lena.tif"];
p15946
sg8
(lp15947
(dp15948
g11
(lp15949
sg13
Nsg15
I1
sass(g1696
g15161
g15943
I1
tp15950
(dp15951
g6
VPixelValue[lena, {1, 1}]
p15952
sg8
(lp15953
(dp15954
g11
(lp15955
sg13
V\u005cleft\u005c{0.321569,0.0862745,0.223529\u005cright\u005c}
p15956
sg15
I2
sass(g1696
g15161
VPixelValuePositions
p15957
I0
tp15958
(dp15959
g6
VPixelValuePositions[Image[{{0, 1}, {1, 0}, {1, 1}}], 1]
p15960
sg8
(lp15961
(dp15962
g11
(lp15963
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,1\u005cright\u005c},\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{2,3\u005cright\u005c}\u005cright\u005c}
p15964
sg15
I1
sass(g1696
g15161
g15957
I1
tp15965
(dp15966
g6
VPixelValuePositions[Image[{{0.2, 0.4}, {0.9, 0.6}, {0.3, 0.8}}], 0.5, 0.15]
p15967
sg8
(lp15968
(dp15969
g11
(lp15970
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,2\u005cright\u005c},\u005cleft\u005c{2,3\u005cright\u005c}\u005cright\u005c}
p15971
sg15
I2
sass(g1696
g15161
g15957
I2
tp15972
(dp15973
g6
Vimg = Import["ExampleData/lena.tif"];
p15974
sg8
(lp15975
(dp15976
g11
(lp15977
sg13
Nsg15
I3
sass(g1696
g15161
g15957
I3
tp15978
(dp15979
g6
VPixelValuePositions[img, 3 / 255, 0.5 / 255]
p15980
sg8
(lp15981
(dp15982
g11
(lp15983
sg13
V\u005cleft\u005c{\u005cleft\u005c{180,192,2\u005cright\u005c},\u005cleft\u005c{181,192,2\u005cright\u005c},\u005cleft\u005c{181,193,2\u005cright\u005c},\u005cleft\u005c{188,204,2\u005cright\u005c},\u005cleft\u005c{265,314,2\u005cright\u005c},\u005cleft\u005c{364,77,2\u005cright\u005c},\u005cleft\u005c{365,72,2\u005cright\u005c},\u005cleft\u005c{365,73,2\u005cright\u005c},\u005cleft\u005c{365,77,2\u005cright\u005c},\u005cleft\u005c{366,70,2\u005cright\u005c},\u005cleft\u005c{367,65,2\u005cright\u005c}\u005cright\u005c}
p15984
sg15
I4
sass(g1696
g15161
g15957
I4
tp15985
(dp15986
g6
VPixelValue[img, {180, 192}]
p15987
sg8
(lp15988
(dp15989
g11
(lp15990
sg13
V\u005cleft\u005c{0.25098,0.0117647,0.215686\u005cright\u005c}
p15991
sg15
I5
sass(g1696
g15161
VRandomImage
p15992
I0
tp15993
(dp15994
g6
VRandomImage[1, {100, 100}]
p15995
sg8
(lp15996
(dp15997
g11
(lp15998
sg13
g15175
sg15
I1
sass(g1696
g15161
VSharpen
p15999
I0
tp16000
(dp16001
g6
Vlena = Import["ExampleData/lena.tif"];
p16002
sg8
(lp16003
(dp16004
g11
(lp16005
sg13
Nsg15
I1
sass(g1696
g15161
g15999
I1
tp16006
(dp16007
g6
VSharpen[lena]
p16008
sg8
(lp16009
(dp16010
g11
(lp16011
sg13
g15175
sg15
I2
sass(g1696
g15161
g15999
I2
tp16012
(dp16013
g6
VSharpen[lena, 5]
p16014
sg8
(lp16015
(dp16016
g11
(lp16017
sg13
g15175
sg15
I3
sass(g1696
g15161
VThreshold
p16018
I0
tp16019
(dp16020
g6
Vimg = Import["ExampleData/lena.tif"];
p16021
sg8
(lp16022
(dp16023
g11
(lp16024
sg13
Nsg15
I1
sass(g1696
g15161
g16018
I1
tp16025
(dp16026
g6
VThreshold[img]
p16027
sg8
(lp16028
(dp16029
g11
(lp16030
sg13
V0.456739
p16031
sg15
I2
sass(g1696
g15161
g16018
I2
tp16032
(dp16033
g6
VBinarize[img, %]
p16034
sg8
(lp16035
(dp16036
g11
(lp16037
sg13
g15175
sg15
I3
sass(g1696
g15161
g16018
I3
tp16038
(dp16039
g6
VThreshold[img, Method -> "Mean"]
p16040
sg8
(lp16041
(dp16042
g11
(lp16043
sg13
V0.486458
p16044
sg15
I4
sass(g1696
g15161
g16018
I4
tp16045
(dp16046
g6
VThreshold[img, Method -> "Median"]
p16047
sg8
(lp16048
(dp16049
g11
(lp16050
sg13
V0.504726
p16051
sg15
I5
sass(g1696
g15161
VWordCloud
p16052
I0
tp16053
(dp16054
g6
VWordCloud[StringSplit[Import["ExampleData/EinsteinSzilLetter.txt"]]]
p16055
sg8
(lp16056
(dp16057
g11
(lp16058
sg13
g15175
sg15
I1
sass(g1696
g15161
g16052
I1
tp16059
(dp16060
g6
VWordCloud[Range[50] -> ToString /@ Range[50]]
p16061
sg8
(lp16062
(dp16063
g11
(lp16064
sg13
g15175
sg15
I2
sass(g1696
VSpecial Functions
p16065
VAiryAi
p16066
I0
tp16067
(dp16068
g6
VAiryAi[0]
p16069
sg8
(lp16070
(dp16071
g11
(lp16072
sg13
V\u005cfrac{3^{\u005cfrac{1}{3}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{2}{3}\u005cright]}
p16073
sg15
I1
sass(g1696
g16065
g16066
I1
tp16074
(dp16075
g6
VAiryAi[0.5]
p16076
sg8
(lp16077
(dp16078
g11
(lp16079
sg13
V0.231694
p16080
sg15
I2
sass(g1696
g16065
g16066
I2
tp16081
(dp16082
g6
VAiryAi[0.5 + I]
p16083
sg8
(lp16084
(dp16085
g11
(lp16086
sg13
V0.157118-0.24104 I
p16087
sg15
I3
sass(g1696
g16065
g16066
I3
tp16088
(dp16089
g6
VPlot[AiryAi[x], {x, -10, 10}]
p16090
sg8
(lp16091
(dp16092
g11
(lp16093
sg13
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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-15.104), (416.67,260.82)));\u000adraw((-16,105.282)--(416,105.282), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-10$", (0.0,102.6152645149171), (0,-1), rgb(0, 0, 0));\u000alabel("$-5$", (100.0,102.6152645149171), (0,-1), rgb(0, 0, 0));\u000alabel("$5$", (300.0,102.6152645149171), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (400.0,102.6152645149171), (0,-1), rgb(0, 0, 0));\u000adraw((0,105.282)--(0,111.949), rgb(0, 0, 0)+linewidth(0.66667));draw((100,105.282)--(100,111.949), rgb(0, 0, 0)+linewidth(0.66667));draw((300,105.282)--(300,111.949), rgb(0, 0, 0)+linewidth(0.66667));draw((400,105.282)--(400,111.949), rgb(0, 0, 0)+linewidth(0.66667));draw((20,105.282)--(20,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((40,105.282)--(40,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((60,105.282)--(60,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((80,105.282)--(80,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((120,105.282)--(120,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((140,105.282)--(140,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((160,105.282)--(160,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((180,105.282)--(180,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((220,105.282)--(220,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((240,105.282)--(240,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((260,105.282)--(260,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((280,105.282)--(280,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((320,105.282)--(320,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((340,105.282)--(340,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((360,105.282)--(360,109.282), rgb(0, 0, 0)+linewidth(0.66667));draw((380,105.282)--(380,109.282), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.4$", (197.33333333333334,-2.6038901911828174), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.2$", (197.33333333333334,51.33902049520048), (-1,0), rgb(0, 0, 0));\u000alabel("$0.2$", (197.33333333333334,159.22484186796706), (-1,0), rgb(0, 0, 0));\u000alabel("$0.4$", (197.33333333333334,213.1677525543504), (-1,0), rgb(0, 0, 0));\u000adraw((200,-2.60389)--(206.67,-2.60389), rgb(0, 0, 0)+linewidth(0.66667));draw((200,51.339)--(206.67,51.339), rgb(0, 0, 0)+linewidth(0.66667));draw((200,159.225)--(206.67,159.225), rgb(0, 0, 0)+linewidth(0.66667));draw((200,213.168)--(206.67,213.168), rgb(0, 0, 0)+linewidth(0.66667));draw((200,10.8818)--(204,10.8818), rgb(0, 0, 0)+linewidth(0.66667));draw((200,24.3676)--(204,24.3676), rgb(0, 0, 0)+linewidth(0.66667));draw((200,37.8533)--(204,37.8533), rgb(0, 0, 0)+linewidth(0.66667));draw((200,64.8247)--(204,64.8247), rgb(0, 0, 0)+linewidth(0.66667));draw((200,78.3105)--(204,78.3105), rgb(0, 0, 0)+linewidth(0.66667));draw((200,91.7962)--(204,91.7962), rgb(0, 0, 0)+linewidth(0.66667));draw((200,118.768)--(204,118.768), rgb(0, 0, 0)+linewidth(0.66667));draw((200,132.253)--(204,132.253), rgb(0, 0, 0)+linewidth(0.66667));draw((200,145.739)--(204,145.739), rgb(0, 0, 0)+linewidth(0.66667));draw((200,172.711)--(204,172.711), rgb(0, 0, 0)+linewidth(0.66667));draw((200,186.196)--(204,186.196), rgb(0, 0, 0)+linewidth(0.66667));draw((200,199.682)--(204,199.682), rgb(0, 0, 0)+linewidth(0.66667));draw((200,226.653)--(204,226.653), rgb(0, 0, 0)+linewidth(0.66667));draw((200,240.139)--(204,240.139), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16094
sg15
I4
sass(g1696
g16065
VAiryAiPrime
p16095
I0
tp16096
(dp16097
g6
VAiryAiPrime[0]
p16098
sg8
(lp16099
(dp16100
g11
(lp16101
sg13
V-\u005cfrac{3^{\u005cfrac{2}{3}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{1}{3}\u005cright]}
p16102
sg15
I1
sass(g1696
g16065
g16095
I1
tp16103
(dp16104
g6
VAiryAiPrime[0.5]
p16105
sg8
(lp16106
(dp16107
g11
(lp16108
sg13
V-0.224911
p16109
sg15
I2
sass(g1696
g16065
VAiryAiZero
p16110
I0
tp16111
(dp16112
g6
VN[AiryAiZero[1]]
p16113
sg8
(lp16114
(dp16115
g11
(lp16116
sg13
V-2.33811
p16117
sg15
I1
sass(g1696
g16065
VAiryBi
p16118
I0
tp16119
(dp16120
g6
VAiryBi[0]
p16121
sg8
(lp16122
(dp16123
g11
(lp16124
sg13
V\u005cfrac{3^{\u005cfrac{5}{6}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{2}{3}\u005cright]}
p16125
sg15
I1
sass(g1696
g16065
g16118
I1
tp16126
(dp16127
g6
VAiryBi[0.5]
p16128
sg8
(lp16129
(dp16130
g11
(lp16131
sg13
V0.854277
p16132
sg15
I2
sass(g1696
g16065
g16118
I2
tp16133
(dp16134
g6
VAiryBi[0.5 + I]
p16135
sg8
(lp16136
(dp16137
g11
(lp16138
sg13
V0.688145+0.370815 I
p16139
sg15
I3
sass(g1696
g16065
g16118
I3
tp16140
(dp16141
g6
VPlot[AiryBi[x], {x, -10, 2}]
p16142
sg8
(lp16143
(dp16144
g11
(lp16145
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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p16146
sg15
I4
sass(g1696
g16065
VAiryBiPrime
p16147
I0
tp16148
(dp16149
g6
VAiryBiPrime[0]
p16150
sg8
(lp16151
(dp16152
g11
(lp16153
sg13
V\u005cfrac{3^{\u005cfrac{1}{6}}}{\u005ctext{Gamma}\u005cleft[\u005cfrac{1}{3}\u005cright]}
p16154
sg15
I1
sass(g1696
g16065
g16147
I1
tp16155
(dp16156
g6
VAiryBiPrime[0.5]
p16157
sg8
(lp16158
(dp16159
g11
(lp16160
sg13
V0.544573
p16161
sg15
I2
sass(g1696
g16065
VAiryBiZero
p16162
I0
tp16163
(dp16164
g6
VN[AiryBiZero[1]]
p16165
sg8
(lp16166
(dp16167
g11
(lp16168
sg13
V-1.17371
p16169
sg15
I1
sass(g1696
g16065
VAngerJ
p16170
I0
tp16171
(dp16172
g6
VAngerJ[1.5, 3.5]
p16173
sg8
(lp16174
(dp16175
g11
(lp16176
sg13
V0.294479
p16177
sg15
I1
sass(g1696
g16065
g16170
I1
tp16178
(dp16179
g6
VPlot[AngerJ[1, x], {x, -10, 10}]
p16180
sg8
(lp16181
(dp16182
g11
(lp16183
sg13
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0)+linewidth(0.66667));draw((200,26.9418)--(204,26.9418), rgb(0, 0, 0)+linewidth(0.66667));draw((200,36.6083)--(204,36.6083), rgb(0, 0, 0)+linewidth(0.66667));draw((200,55.9413)--(204,55.9413), rgb(0, 0, 0)+linewidth(0.66667));draw((200,65.6078)--(204,65.6078), rgb(0, 0, 0)+linewidth(0.66667));draw((200,75.2743)--(204,75.2743), rgb(0, 0, 0)+linewidth(0.66667));draw((200,94.6073)--(204,94.6073), rgb(0, 0, 0)+linewidth(0.66667));draw((200,104.274)--(204,104.274), rgb(0, 0, 0)+linewidth(0.66667));draw((200,113.94)--(204,113.94), rgb(0, 0, 0)+linewidth(0.66667));draw((200,133.273)--(204,133.273), rgb(0, 0, 0)+linewidth(0.66667));draw((200,142.94)--(204,142.94), rgb(0, 0, 0)+linewidth(0.66667));draw((200,152.606)--(204,152.606), rgb(0, 0, 0)+linewidth(0.66667));draw((200,171.939)--(204,171.939), rgb(0, 0, 0)+linewidth(0.66667));draw((200,181.606)--(204,181.606), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.272)--(204,191.272), rgb(0, 0, 0)+linewidth(0.66667));draw((200,210.605)--(204,210.605), rgb(0, 0, 0)+linewidth(0.66667));draw((200,220.272)--(204,220.272), rgb(0, 0, 0)+linewidth(0.66667));draw((200,229.938)--(204,229.938), rgb(0, 0, 0)+linewidth(0.66667));draw((200,249.271)--(204,249.271), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16184
sg15
I2
sass(g1696
g16065
VBesselI
p16185
I0
tp16186
(dp16187
g6
VBesselI[1.5, 4]
p16188
sg8
(lp16189
(dp16190
g11
(lp16191
sg13
V8.17263
p16192
sg15
I1
sass(g1696
g16065
g16185
I1
tp16193
(dp16194
g6
VPlot[BesselI[0, x], {x, 0, 5}]
p16195
sg8
(lp16196
(dp16197
g11
(lp16198
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((0,11.237)--(7.1429,11.2608)--(14.286,11.3323)--(21.429,11.452)--(28.571,11.6206)--(35.714,11.8391)--(42.857,12.1088)--(50,12.4313)--(57.143,12.8086)--(64.286,13.2429)--(71.429,13.7369)--(78.571,14.2935)--(85.714,14.9161)--(89.286,15.2533)--(92.857,15.6084)--(96.429,15.9821)--(100,16.3748)--(103.57,16.7872)--(107.14,17.2198)--(110.71,17.6734)--(114.29,18.1487)--(117.86,18.6463)--(121.43,19.167)--(125,19.7117)--(126.79,19.9932)--(128.57,20.2811)--(132.14,20.8762)--(133.93,21.1836)--(135.71,21.4978)--(139.29,22.147)--(141.07,22.4822)--(142.86,22.8247)--(146.43,23.532)--(148.21,23.8971)--(150,24.2699)--(153.57,25.0397)--(155.36,25.4369)--(157.14,25.8425)--(160.71,26.6796)--(162.5,27.1114)--(164.29,27.5522)--(167.86,28.4618)--(169.64,28.9309)--(171.43,29.4097)--(175,30.3975)--(176.79,30.9069)--(178.57,31.4267)--(182.14,32.4989)--(183.93,33.0517)--(185.71,33.6159)--(189.29,34.7793)--(191.07,35.379)--(192.86,35.991)--(196.43,37.253)--(198.21,37.9034)--(200,38.5671)--(203.57,39.9356)--(205.36,40.6409)--(207.14,41.3606)--(210.71,42.8444)--(212.5,43.609)--(214.29,44.3893)--(217.86,45.9977)--(219.64,46.8266)--(221.43,47.6724)--(225,49.4159)--(226.79,50.3143)--(228.57,51.231)--(232.14,53.1208)--(233.93,54.0945)--(235.71,55.0881)--(239.29,57.1362)--(241.07,58.1916)--(242.86,59.2684)--(246.43,61.4881)--(248.21,62.6319)--(250,63.799)--(253.57,66.2047)--(255.36,67.4444)--(257.14,68.7093)--(260.71,71.3166)--(262.5,72.6602)--(264.29,74.0311)--(267.86,76.8571)--(269.64,78.3133)--(271.43,79.7992)--(275,82.8623)--(276.79,84.4408)--(278.57,86.0514)--(282.14,89.3716)--(283.93,91.0826)--(285.71,92.8285)--(289.29,96.4277)--(291.07,98.2825)--(292.86,100.175)--(296.43,104.077)--(298.21,106.088)--(300,108.14)--(303.57,112.37)--(305.36,114.55)--(307.14,116.775)--(310.71,121.362)--(312.5,123.726)--(314.29,126.138)--(317.86,131.112)--(319.64,133.676)--(321.43,136.292)--(325,141.685)--(326.79,144.465)--(328.57,147.302)--(332.14,153.152)--(333.93,156.167)--(335.71,159.245)--(339.29,165.59)--(342.86,172.198)--(346.43,179.08)--(350,186.249)--(353.57,193.715)--(357.14,201.492)--(360.71,209.593)--(364.29,218.031)--(367.86,226.821)--(371.43,235.977)--(378.57,255.45)--(385.71,276.584)--(392.86,299.522)--(400,324.42), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,-0.698423)--(416,-0.698423), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (80.0,-3.3650895823629168), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (160.0,-3.3650895823629168), (0,-1), rgb(0, 0, 0));\u000alabel("$3$", (240.0,-3.3650895823629168), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (320.0,-3.3650895823629168), (0,-1), rgb(0, 0, 0));\u000alabel("$5$", (400.0,-3.3650895823629168), (0,-1), rgb(0, 0, 0));\u000adraw((80,-0.698423)--(80,5.96824), rgb(0, 0, 0)+linewidth(0.66667));draw((160,-0.698423)--(160,5.96824), rgb(0, 0, 0)+linewidth(0.66667));draw((240,-0.698423)--(240,5.96824), rgb(0, 0, 0)+linewidth(0.66667));draw((320,-0.698423)--(320,5.96824), rgb(0, 0, 0)+linewidth(0.66667));draw((400,-0.698423)--(400,5.96824), rgb(0, 0, 0)+linewidth(0.66667));draw((16,-0.698423)--(16,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((32,-0.698423)--(32,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((48,-0.698423)--(48,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((64,-0.698423)--(64,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((96,-0.698423)--(96,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((112,-0.698423)--(112,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((128,-0.698423)--(128,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((144,-0.698423)--(144,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((176,-0.698423)--(176,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((192,-0.698423)--(192,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((208,-0.698423)--(208,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((224,-0.698423)--(224,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((256,-0.698423)--(256,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((272,-0.698423)--(272,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((288,-0.698423)--(288,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((304,-0.698423)--(304,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((336,-0.698423)--(336,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((352,-0.698423)--(352,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((368,-0.698423)--(368,3.30158), rgb(0, 0, 0)+linewidth(0.66667));draw((384,-0.698423)--(384,3.30158), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (-2.6666666666666665,58.97859973095724), (-1,0), rgb(0, 0, 0));\u000alabel("$10$", (-2.6666666666666665,118.65562237761073), (-1,0), rgb(0, 0, 0));\u000alabel("$15$", (-2.6666666666666665,178.33264502426425), (-1,0), rgb(0, 0, 0));\u000alabel("$20$", (-2.6666666666666665,238.00966767091776), (-1,0), rgb(0, 0, 0));\u000adraw((0,58.9786)--(6.6667,58.9786), rgb(0, 0, 0)+linewidth(0.66667));draw((0,118.656)--(6.6667,118.656), rgb(0, 0, 0)+linewidth(0.66667));draw((0,178.333)--(6.6667,178.333), rgb(0, 0, 0)+linewidth(0.66667));draw((0,238.01)--(6.6667,238.01), rgb(0, 0, 0)+linewidth(0.66667));draw((0,11.237)--(4,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((0,23.1724)--(4,23.1724), rgb(0, 0, 0)+linewidth(0.66667));draw((0,35.1078)--(4,35.1078), rgb(0, 0, 0)+linewidth(0.66667));draw((0,47.0432)--(4,47.0432), rgb(0, 0, 0)+linewidth(0.66667));draw((0,70.914)--(4,70.914), rgb(0, 0, 0)+linewidth(0.66667));draw((0,82.8494)--(4,82.8494), rgb(0, 0, 0)+linewidth(0.66667));draw((0,94.7848)--(4,94.7848), rgb(0, 0, 0)+linewidth(0.66667));draw((0,106.72)--(4,106.72), rgb(0, 0, 0)+linewidth(0.66667));draw((0,130.591)--(4,130.591), rgb(0, 0, 0)+linewidth(0.66667));draw((0,142.526)--(4,142.526), rgb(0, 0, 0)+linewidth(0.66667));draw((0,154.462)--(4,154.462), rgb(0, 0, 0)+linewidth(0.66667));draw((0,166.397)--(4,166.397), rgb(0, 0, 0)+linewidth(0.66667));draw((0,190.268)--(4,190.268), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.203)--(4,202.203), rgb(0, 0, 0)+linewidth(0.66667));draw((0,214.139)--(4,214.139), rgb(0, 0, 0)+linewidth(0.66667));draw((0,226.074)--(4,226.074), rgb(0, 0, 0)+linewidth(0.66667));draw((0,249.945)--(4,249.945), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16199
sg15
I2
sass(g1696
g16065
VBesselJ
p16200
I0
tp16201
(dp16202
g6
VBesselJ[0, 5.2]
p16203
sg8
(lp16204
(dp16205
g11
(lp16206
sg13
V-0.11029
p16207
sg15
I1
sass(g1696
g16065
g16200
I3
tp16208
(dp16209
g6
VPlot[BesselJ[0, x], {x, 0, 10}]
p16210
sg8
(lp16211
(dp16212
g11
(lp16213
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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rgb(0, 0, 0)+linewidth(0.66667));draw((0,29.0714)--(4,29.0714), rgb(0, 0, 0)+linewidth(0.66667));draw((0,37.8649)--(4,37.8649), rgb(0, 0, 0)+linewidth(0.66667));draw((0,55.4521)--(4,55.4521), rgb(0, 0, 0)+linewidth(0.66667));draw((0,64.2456)--(4,64.2456), rgb(0, 0, 0)+linewidth(0.66667));draw((0,73.0392)--(4,73.0392), rgb(0, 0, 0)+linewidth(0.66667));draw((0,90.6263)--(4,90.6263), rgb(0, 0, 0)+linewidth(0.66667));draw((0,99.4198)--(4,99.4198), rgb(0, 0, 0)+linewidth(0.66667));draw((0,108.213)--(4,108.213), rgb(0, 0, 0)+linewidth(0.66667));draw((0,125.801)--(4,125.801), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.594)--(4,134.594), rgb(0, 0, 0)+linewidth(0.66667));draw((0,143.388)--(4,143.388), rgb(0, 0, 0)+linewidth(0.66667));draw((0,160.975)--(4,160.975), rgb(0, 0, 0)+linewidth(0.66667));draw((0,169.768)--(4,169.768), rgb(0, 0, 0)+linewidth(0.66667));draw((0,178.562)--(4,178.562), rgb(0, 0, 0)+linewidth(0.66667));draw((0,196.149)--(4,196.149), rgb(0, 0, 0)+linewidth(0.66667));draw((0,204.943)--(4,204.943), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.736)--(4,213.736), rgb(0, 0, 0)+linewidth(0.66667));draw((0,231.323)--(4,231.323), rgb(0, 0, 0)+linewidth(0.66667));draw((0,240.117)--(4,240.117), rgb(0, 0, 0)+linewidth(0.66667));draw((0,248.91)--(4,248.91), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16214
sg15
I2
sass(g1696
g16065
VBesselJZero
p16215
I0
tp16216
(dp16217
g6
VN[BesselJZero[0, 1]]
p16218
sg8
(lp16219
(dp16220
g11
(lp16221
sg13
V2.40483
p16222
sg15
I1
sass(g1696
g16065
VBesselK
p16223
I0
tp16224
(dp16225
g6
VBesselK[1.5, 4]
p16226
sg8
(lp16227
(dp16228
g11
(lp16229
sg13
V0.014347
p16230
sg15
I1
sass(g1696
g16065
g16223
I1
tp16231
(dp16232
g6
VPlot[BesselK[0, x], {x, 0, 5}]
p16233
sg8
(lp16234
(dp16235
g11
(lp16236
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((0,149.744)--(4,149.744), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.303)--(4,168.303), rgb(0, 0, 0)+linewidth(0.66667));draw((0,177.582)--(4,177.582), rgb(0, 0, 0)+linewidth(0.66667));draw((0,186.862)--(4,186.862), rgb(0, 0, 0)+linewidth(0.66667));draw((0,205.421)--(4,205.421), rgb(0, 0, 0)+linewidth(0.66667));draw((0,214.7)--(4,214.7), rgb(0, 0, 0)+linewidth(0.66667));draw((0,223.98)--(4,223.98), rgb(0, 0, 0)+linewidth(0.66667));draw((0,242.539)--(4,242.539), rgb(0, 0, 0)+linewidth(0.66667));draw((0,251.818)--(4,251.818), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16237
sg15
I2
sass(g1696
g16065
VBesselY
p16238
I0
tp16239
(dp16240
g6
VBesselY[1.5, 4]
p16241
sg8
(lp16242
(dp16243
g11
(lp16244
sg13
V0.367112
p16245
sg15
I1
sass(g1696
g16065
g16238
I1
tp16246
(dp16247
g6
VPlot[BesselY[0, x], {x, 0, 10}]
p16248
sg8
(lp16249
(dp16250
g11
(lp16251
sg13
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p16252
sg15
I2
sass(g1696
g16065
VBesselYZero
p16253
I0
tp16254
(dp16255
g6
VN[BesselYZero[0, 1]]
p16256
sg8
(lp16257
(dp16258
g11
(lp16259
sg13
V0.893577
p16260
sg15
I1
sass(g1696
g16065
VChebyshevT
p16261
I0
tp16262
(dp16263
g6
VChebyshevT[8, x]
p16264
sg8
(lp16265
(dp16266
g11
(lp16267
sg13
V1-32 x^2+160 x^4-256 x^6+128 x^8
p16268
sg15
I1
sass(g1696
g16065
g16261
I1
tp16269
(dp16270
g6
VChebyshevT[1 - I, 0.5]
p16271
sg8
(lp16272
(dp16273
g11
(lp16274
sg13
V0.800143+1.08198 I
p16275
sg15
I2
sass(g1696
g16065
VChebyshevU
p16276
I0
tp16277
(dp16278
g6
VChebyshevU[8, x]
p16279
sg8
(lp16280
(dp16281
g11
(lp16282
sg13
V1-40 x^2+240 x^4-448 x^6+256 x^8
p16283
sg15
I1
sass(g1696
g16065
g16276
I1
tp16284
(dp16285
g6
VChebyshevU[1 - I, 0.5]
p16286
sg8
(lp16287
(dp16288
g11
(lp16289
sg13
V1.60029+0.721322 I
p16290
sg15
I2
sass(g1696
g16065
VErf
p16291
I0
tp16292
(dp16293
g6
VErf[-x]
p16294
sg8
(lp16295
(dp16296
g11
(lp16297
sg13
V-\u005ctext{Erf}\u005cleft[x\u005cright]
p16298
sg15
I1
sass(g1696
g16065
g16291
I1
tp16299
(dp16300
g6
VErf[1.0]
p16301
sg8
(lp16302
(dp16303
g11
(lp16304
sg13
V0.842701
p16305
sg15
I2
sass(g1696
g16065
g16291
I2
tp16306
(dp16307
g6
VErf[0]
p16308
sg8
(lp16309
(dp16310
g11
(lp16311
sg13
V0
p16312
sg15
I3
sass(g1696
g16065
g16291
I3
tp16313
(dp16314
g6
V{Erf[0, x], Erf[x, 0]}
p16315
sg8
(lp16316
(dp16317
g11
(lp16318
sg13
V\u005cleft\u005c{\u005ctext{Erf}\u005cleft[x\u005cright],-\u005ctext{Erf}\u005cleft[x\u005cright]\u005cright\u005c}
p16319
sg15
I4
sass(g1696
g16065
g16291
I4
tp16320
(dp16321
g6
VPlot[Erf[x], {x, -2, 2}]
p16322
sg8
(lp16323
(dp16324
g11
(lp16325
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((0,11.237)--(7.1429,11.4295)--(10.714,11.5478)--(14.286,11.6831)--(17.857,11.8377)--(19.643,11.9228)--(21.429,12.0137)--(25,12.2136)--(26.786,12.3234)--(28.571,12.4402)--(32.143,12.6963)--(33.929,12.8363)--(35.714,12.9849)--(39.286,13.3095)--(41.071,13.4864)--(42.857,13.6736)--(46.429,14.081)--(48.214,14.3021)--(49.107,14.4172)--(50,14.5355)--(51.786,14.7818)--(53.571,15.0415)--(55.357,15.3151)--(56.25,15.4573)--(57.143,15.6032)--(58.929,15.9064)--(60.714,16.2252)--(62.5,16.5604)--(63.393,16.7342)--(64.286,16.9124)--(66.071,17.2818)--(67.857,17.6694)--(69.643,18.0757)--(70.536,18.286)--(71.429,18.5013)--(73.214,18.947)--(75,19.4133)--(75.893,19.6544)--(76.786,19.9009)--(77.679,20.1529)--(78.125,20.2809)--(78.571,20.4104)--(80.357,20.9425)--(81.25,21.2172)--(82.143,21.4978)--(83.036,21.7844)--(83.929,22.077)--(84.821,22.3758)--(85.714,22.6807)--(87.5,23.3096)--(88.393,23.6337)--(89.286,23.9643)--(90.179,24.3014)--(91.071,24.6453)--(91.964,24.9959)--(92.857,25.3534)--(94.643,26.0891)--(95.536,26.4674)--(96.429,26.8529)--(97.321,27.2456)--(98.214,27.6456)--(99.107,28.0529)--(100,28.4676)--(101.79,29.3195)--(103.57,30.2018)--(105.36,31.1151)--(106.25,31.5834)--(107.14,32.0597)--(108.93,33.0362)--(110.71,34.0449)--(112.5,35.0864)--(113.39,35.6194)--(114.29,36.1608)--(116.07,37.2687)--(117.86,38.4103)--(119.64,39.5859)--(120.54,40.1865)--(121.43,40.7957)--(123.21,42.04)--(125,43.3188)--(126.79,44.6324)--(127.68,45.3022)--(128.57,45.9807)--(130.36,47.3639)--(132.14,48.7819)--(133.93,50.2347)--(135.71,51.7222)--(139.29,54.8006)--(141.07,56.3911)--(142.86,58.0154)--(146.43,61.3641)--(148.21,63.0877)--(150,64.8434)--(153.57,68.4492)--(155.36,70.2981)--(157.14,72.1766)--(160.71,76.0198)--(164.29,79.9723)--(171.43,88.1758)--(178.57,96.7207)--(185.71,105.531)--(192.86,114.523)--(200,123.607)--(207.14,132.691)--(214.29,141.683)--(221.43,150.493)--(228.57,159.038)--(232.14,163.187)--(235.71,167.241)--(239.29,171.194)--(241.07,173.129)--(242.86,175.037)--(246.43,178.764)--(248.21,180.583)--(250,182.37)--(253.57,185.849)--(255.36,187.54)--(257.14,189.198)--(260.71,192.413)--(262.5,193.969)--(264.29,195.491)--(267.86,198.432)--(269.64,199.85)--(270.54,200.546)--(271.43,201.233)--(273.21,202.581)--(275,203.895)--(276.79,205.174)--(277.68,205.8)--(278.57,206.418)--(280.36,207.628)--(282.14,208.803)--(283.93,209.945)--(284.82,210.503)--(285.71,211.053)--(287.5,212.127)--(289.29,213.169)--(291.07,214.177)--(291.96,214.67)--(292.86,215.154)--(294.64,216.099)--(296.43,217.012)--(298.21,217.894)--(299.11,218.324)--(300,218.746)--(301.79,219.568)--(302.68,219.968)--(303.57,220.361)--(304.46,220.746)--(305.36,221.125)--(306.25,221.496)--(307.14,221.86)--(308.93,222.568)--(309.82,222.912)--(310.71,223.249)--(311.61,223.58)--(312.5,223.904)--(313.39,224.222)--(314.29,224.533)--(316.07,225.137)--(316.96,225.429)--(317.86,225.716)--(318.75,225.996)--(319.64,226.271)--(320.54,226.54)--(321.43,226.803)--(322.32,227.061)--(323.21,227.313)--(324.11,227.559)--(325,227.8)--(326.79,228.267)--(327.68,228.492)--(328.57,228.712)--(330.36,229.138)--(332.14,229.544)--(333.93,229.932)--(334.82,230.119)--(335.71,230.301)--(337.5,230.653)--(339.29,230.988)--(341.07,231.307)--(341.96,231.461)--(342.86,231.61)--(344.64,231.899)--(346.43,232.172)--(348.21,232.432)--(349.11,232.557)--(350,232.678)--(351.79,232.911)--(353.57,233.133)--(355.36,233.342)--(357.14,233.54)--(360.71,233.904)--(362.5,234.071)--(364.29,234.229)--(367.86,234.517)--(369.64,234.649)--(371.43,234.773)--(375,  235)--(378.57,235.2)--(382.14,235.376)--(385.71,235.53)--(389.29,235.666)--(392.86,235.784)--(400,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2$", (0.0,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$-1$", (100.0,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$1$", (300.0,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (400.0,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000adraw((0,123.607)--(0,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((100,123.607)--(100,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((300,123.607)--(300,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((20,123.607)--(20,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((40,123.607)--(40,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((60,123.607)--(60,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((80,123.607)--(80,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((120,123.607)--(120,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((140,123.607)--(140,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((160,123.607)--(160,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((180,123.607)--(180,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((220,123.607)--(220,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((240,123.607)--(240,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((260,123.607)--(260,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((280,123.607)--(280,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((320,123.607)--(320,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((340,123.607)--(340,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((360,123.607)--(360,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((380,123.607)--(380,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (197.33333333333334,10.708875051339456), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (197.33333333333334,67.1578364006592), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,180.0557590992987), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (197.33333333333334,236.5047204486184), (-1,0), rgb(0, 0, 0));\u000adraw((200,10.7089)--(206.67,10.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((200,67.1578)--(206.67,67.1578), rgb(0, 0, 0)+linewidth(0.66667));draw((200,180.056)--(206.67,180.056), rgb(0, 0, 0)+linewidth(0.66667));draw((200,236.505)--(206.67,236.505), rgb(0, 0, 0)+linewidth(0.66667));draw((200,-0.580917)--(204,-0.580917), rgb(0, 0, 0)+linewidth(0.66667));draw((200,21.9987)--(204,21.9987), rgb(0, 0, 0)+linewidth(0.66667));draw((200,33.2885)--(204,33.2885), rgb(0, 0, 0)+linewidth(0.66667));draw((200,44.5783)--(204,44.5783), rgb(0, 0, 0)+linewidth(0.66667));draw((200,55.868)--(204,55.868), rgb(0, 0, 0)+linewidth(0.66667));draw((200,78.4476)--(204,78.4476), rgb(0, 0, 0)+linewidth(0.66667));draw((200,89.7374)--(204,89.7374), rgb(0, 0, 0)+linewidth(0.66667));draw((200,101.027)--(204,101.027), rgb(0, 0, 0)+linewidth(0.66667));draw((200,112.317)--(204,112.317), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.897)--(204,134.897), rgb(0, 0, 0)+linewidth(0.66667));draw((200,146.186)--(204,146.186), rgb(0, 0, 0)+linewidth(0.66667));draw((200,157.476)--(204,157.476), rgb(0, 0, 0)+linewidth(0.66667));draw((200,168.766)--(204,168.766), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.346)--(204,191.346), rgb(0, 0, 0)+linewidth(0.66667));draw((200,202.635)--(204,202.635), rgb(0, 0, 0)+linewidth(0.66667));draw((200,213.925)--(204,213.925), rgb(0, 0, 0)+linewidth(0.66667));draw((200,225.215)--(204,225.215), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.795)--(204,247.795), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16326
sg15
I5
sass(g1696
g16065
VErfc
p16327
I0
tp16328
(dp16329
g6
VErfc[-x] / 2
p16330
sg8
(lp16331
(dp16332
g11
(lp16333
sg13
V\u005cfrac{2-\u005ctext{Erfc}\u005cleft[x\u005cright]}{2}
p16334
sg15
I1
sass(g1696
g16065
g16327
I1
tp16335
(dp16336
g6
VErfc[1.0]
p16337
sg8
(lp16338
(dp16339
g11
(lp16340
sg13
V0.157299
p16341
sg15
I2
sass(g1696
g16065
g16327
I2
tp16342
(dp16343
g6
VErfc[0]
p16344
sg8
(lp16345
(dp16346
g11
(lp16347
sg13
V1
p16348
sg15
I3
sass(g1696
g16065
g16327
I3
tp16349
(dp16350
g6
VPlot[Erfc[x], {x, -2, 2}]
p16351
sg8
(lp16352
(dp16353
g11
(lp16354
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((0,235.977)--(7.1429,235.784)--(10.714,235.666)--(14.286,235.53)--(17.857,235.376)--(19.643,235.291)--(21.429,235.2)--(25,  235)--(26.786,234.89)--(28.571,234.773)--(32.143,234.517)--(33.929,234.377)--(35.714,234.229)--(39.286,233.904)--(41.071,233.727)--(42.857,233.54)--(46.429,233.133)--(48.214,232.911)--(49.107,232.796)--(50,232.678)--(51.786,232.432)--(53.571,232.172)--(55.357,231.899)--(56.25,231.756)--(57.143,231.61)--(58.929,231.307)--(60.714,230.988)--(62.5,230.653)--(63.393,230.479)--(64.286,230.301)--(66.071,229.932)--(67.857,229.544)--(69.643,229.138)--(70.536,228.928)--(71.429,228.712)--(73.214,228.267)--(75,227.8)--(75.893,227.559)--(76.786,227.313)--(77.679,227.061)--(78.125,226.933)--(78.571,226.803)--(80.357,226.271)--(81.25,225.996)--(82.143,225.716)--(83.036,225.429)--(83.929,225.137)--(84.821,224.838)--(85.714,224.533)--(87.5,223.904)--(88.393,223.58)--(89.286,223.249)--(90.179,222.912)--(91.071,222.568)--(91.964,222.218)--(92.857,221.86)--(94.643,221.125)--(95.536,220.746)--(96.429,220.361)--(97.321,219.968)--(98.214,219.568)--(99.107,219.161)--(100,218.746)--(101.79,217.894)--(103.57,217.012)--(105.36,216.099)--(106.25,215.63)--(107.14,215.154)--(108.93,214.177)--(110.71,213.169)--(112.5,212.127)--(113.39,211.594)--(114.29,211.053)--(116.07,209.945)--(117.86,208.803)--(119.64,207.628)--(120.54,207.027)--(121.43,206.418)--(123.21,205.174)--(125,203.895)--(126.79,202.581)--(127.68,201.911)--(128.57,201.233)--(130.36,199.85)--(132.14,198.432)--(133.93,196.979)--(135.71,195.491)--(139.29,192.413)--(141.07,190.823)--(142.86,189.198)--(146.43,185.849)--(148.21,184.126)--(150,182.37)--(153.57,178.764)--(155.36,176.916)--(157.14,175.037)--(160.71,171.194)--(164.29,167.241)--(171.43,159.038)--(178.57,150.493)--(185.71,141.683)--(192.86,132.691)--(200,123.607)--(207.14,114.523)--(214.29,105.531)--(221.43,96.7207)--(228.57,88.1758)--(232.14,84.027)--(235.71,79.9723)--(239.29,76.0198)--(241.07,74.0841)--(242.86,72.1766)--(246.43,68.4492)--(248.21,66.6308)--(250,64.8434)--(253.57,61.3641)--(255.36,59.6732)--(257.14,58.0154)--(260.71,54.8006)--(262.5,53.2442)--(264.29,51.7222)--(267.86,48.7819)--(269.64,47.3639)--(270.54,46.6679)--(271.43,45.9807)--(273.21,44.6324)--(275,43.3188)--(276.79,42.04)--(277.68,41.4135)--(278.57,40.7957)--(280.36,39.5859)--(282.14,38.4103)--(283.93,37.2687)--(284.82,36.7106)--(285.71,36.1608)--(287.5,35.0864)--(289.29,34.0449)--(291.07,33.0362)--(291.96,32.5439)--(292.86,32.0597)--(294.64,31.1151)--(296.43,30.2018)--(298.21,29.3195)--(299.11,28.8898)--(300,28.4676)--(301.79,27.6456)--(302.68,27.2456)--(303.57,26.8529)--(304.46,26.4674)--(305.36,26.0891)--(306.25,25.7177)--(307.14,25.3534)--(308.93,24.6453)--(309.82,24.3014)--(310.71,23.9643)--(311.61,23.6337)--(312.5,23.3096)--(313.39,22.992)--(314.29,22.6807)--(316.07,22.077)--(316.96,21.7844)--(317.86,21.4978)--(318.75,21.2172)--(319.64,20.9425)--(320.54,20.6736)--(321.43,20.4104)--(322.32,20.1529)--(323.21,19.9009)--(324.11,19.6544)--(325,19.4133)--(326.79,18.947)--(327.68,18.7216)--(328.57,18.5013)--(330.36,18.0757)--(332.14,17.6694)--(333.93,17.2818)--(334.82,17.0949)--(335.71,16.9124)--(337.5,16.5604)--(339.29,16.2252)--(341.07,15.9064)--(341.96,15.7529)--(342.86,15.6032)--(344.64,15.3151)--(346.43,15.0415)--(348.21,14.7818)--(349.11,14.657)--(350,14.5355)--(351.79,14.3021)--(353.57,14.081)--(355.36,13.8717)--(357.14,13.6736)--(360.71,13.3095)--(362.5,13.1425)--(364.29,12.9849)--(367.86,12.6963)--(369.64,12.5643)--(371.43,12.4402)--(375,12.2136)--(378.57,12.0137)--(382.14,11.8377)--(385.71,11.6831)--(389.29,11.5478)--(392.86,11.4295)--(400,11.237), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,10.7089)--(416,10.7089), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2$", (0.0,8.042208384672788), (0,-1), rgb(0, 0, 0));\u000alabel("$-1$", (100.0,8.042208384672788), (0,-1), rgb(0, 0, 0));\u000alabel("$1$", (300.0,8.042208384672788), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (400.0,8.042208384672788), (0,-1), rgb(0, 0, 0));\u000adraw((0,10.7089)--(0,17.3755), rgb(0, 0, 0)+linewidth(0.66667));draw((100,10.7089)--(100,17.3755), rgb(0, 0, 0)+linewidth(0.66667));draw((300,10.7089)--(300,17.3755), rgb(0, 0, 0)+linewidth(0.66667));draw((400,10.7089)--(400,17.3755), rgb(0, 0, 0)+linewidth(0.66667));draw((20,10.7089)--(20,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((40,10.7089)--(40,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((60,10.7089)--(60,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((80,10.7089)--(80,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((120,10.7089)--(120,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((140,10.7089)--(140,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((160,10.7089)--(160,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((180,10.7089)--(180,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((220,10.7089)--(220,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((240,10.7089)--(240,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((260,10.7089)--(260,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((280,10.7089)--(280,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((320,10.7089)--(320,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((340,10.7089)--(340,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((360,10.7089)--(360,14.7089), rgb(0, 0, 0)+linewidth(0.66667));draw((380,10.7089)--(380,14.7089), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$0.5$", (197.33333333333334,67.15783640065919), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (197.33333333333334,123.60679774997892), (-1,0), rgb(0, 0, 0));\u000alabel("$1.5$", (197.33333333333334,180.05575909929865), (-1,0), rgb(0, 0, 0));\u000alabel("$2.0$", (197.33333333333334,236.5047204486184), (-1,0), rgb(0, 0, 0));\u000adraw((200,67.1578)--(206.67,67.1578), rgb(0, 0, 0)+linewidth(0.66667));draw((200,123.607)--(206.67,123.607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,180.056)--(206.67,180.056), rgb(0, 0, 0)+linewidth(0.66667));draw((200,236.505)--(206.67,236.505), rgb(0, 0, 0)+linewidth(0.66667));draw((200,-0.580917)--(204,-0.580917), rgb(0, 0, 0)+linewidth(0.66667));draw((200,21.9987)--(204,21.9987), rgb(0, 0, 0)+linewidth(0.66667));draw((200,33.2885)--(204,33.2885), rgb(0, 0, 0)+linewidth(0.66667));draw((200,44.5783)--(204,44.5783), rgb(0, 0, 0)+linewidth(0.66667));draw((200,55.868)--(204,55.868), rgb(0, 0, 0)+linewidth(0.66667));draw((200,78.4476)--(204,78.4476), rgb(0, 0, 0)+linewidth(0.66667));draw((200,89.7374)--(204,89.7374), rgb(0, 0, 0)+linewidth(0.66667));draw((200,101.027)--(204,101.027), rgb(0, 0, 0)+linewidth(0.66667));draw((200,112.317)--(204,112.317), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.897)--(204,134.897), rgb(0, 0, 0)+linewidth(0.66667));draw((200,146.186)--(204,146.186), rgb(0, 0, 0)+linewidth(0.66667));draw((200,157.476)--(204,157.476), rgb(0, 0, 0)+linewidth(0.66667));draw((200,168.766)--(204,168.766), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.346)--(204,191.346), rgb(0, 0, 0)+linewidth(0.66667));draw((200,202.635)--(204,202.635), rgb(0, 0, 0)+linewidth(0.66667));draw((200,213.925)--(204,213.925), rgb(0, 0, 0)+linewidth(0.66667));draw((200,225.215)--(204,225.215), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.795)--(204,247.795), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16355
sg15
I4
sass(g1696
g16065
VExpIntegralE
p16356
I0
tp16357
(dp16358
g6
VExpIntegralE[2.0, 2.0]
p16359
sg8
(lp16360
(dp16361
g11
(lp16362
sg13
V0.0375343
p16363
sg15
I1
sass(g1696
g16065
VExpIntegralEi
p16364
I0
tp16365
(dp16366
g6
VExpIntegralEi[2.0]
p16367
sg8
(lp16368
(dp16369
g11
(lp16370
sg13
V4.95423
p16371
sg15
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VFresnelC
p16372
I0
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VFresnelC[{0, Infinity}]
p16375
sg8
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g11
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sg13
V\u005cleft\u005c{0,\u005cfrac{1}{2}\u005cright\u005c}
p16379
sg15
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sass(g1696
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g16372
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tp16380
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VIntegrate[Cos[x^2 Pi/2], {x, 0, z}]
p16382
sg8
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g11
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sg13
V\u005cfrac{\u005ctext{FresnelC}\u005cleft[z\u005cright] \u005ctext{Gamma}\u005cleft[\u005cfrac{1}{4}\u005cright]}{4 \u005ctext{Gamma}\u005cleft[\u005cfrac{5}{4}\u005cright]}
p16386
sg15
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sass(g1696
g16065
VFresnelS
p16387
I0
tp16388
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g6
VFresnelS[{0, Infinity}]
p16390
sg8
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g11
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sg13
V\u005cleft\u005c{0,\u005cfrac{1}{2}\u005cright\u005c}
p16394
sg15
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sass(g1696
g16065
g16387
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tp16395
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g6
VIntegrate[Sin[x^2 Pi/2], {x, 0, z}]
p16397
sg8
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g11
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sg13
V\u005cfrac{3 \u005ctext{FresnelS}\u005cleft[z\u005cright] \u005ctext{Gamma}\u005cleft[\u005cfrac{3}{4}\u005cright]}{4 \u005ctext{Gamma}\u005cleft[\u005cfrac{7}{4}\u005cright]}
p16401
sg15
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sass(g1696
g16065
VGegenbauerC
p16402
I0
tp16403
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VGegenbauerC[6, 1, x]
p16405
sg8
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g11
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sg13
V-1+24 x^2-80 x^4+64 x^6
p16409
sg15
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sass(g1696
g16065
g16402
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tp16410
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g6
VGegenbauerC[4 - I, 1 + 2 I, 0.7]
p16412
sg8
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g11
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sg13
V-3.2621-24.9739 I
p16416
sg15
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sass(g1696
g16065
VHankelH1
p16417
I0
tp16418
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g6
VHankelH1[1.5, 4]
p16420
sg8
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g11
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sg13
V0.185286+0.367112 I
p16424
sg15
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sass(g1696
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VHankelH2
p16425
I0
tp16426
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VHankelH2[1.5, 4]
p16428
sg8
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g11
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V0.185286-0.367112 I
p16432
sg15
I1
sass(g1696
g16065
VHermiteH
p16433
I0
tp16434
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g6
VHermiteH[8, x]
p16436
sg8
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g11
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V1680-13440 x^2+13440 x^4-3584 x^6+256 x^8
p16440
sg15
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sass(g1696
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g16433
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tp16441
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g6
VHermiteH[3, 1 + I]
p16443
sg8
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g11
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V-28+4 I
p16447
sg15
I2
sass(g1696
g16065
g16433
I2
tp16448
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VHermiteH[4.2, 2]
p16450
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V77.5291
p16454
sg15
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sass(g1696
g16065
VInverseErf
p16455
I0
tp16456
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g6
VInverseErf /@ {-1, 0, 1}
p16458
sg8
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g11
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sg13
V\u005cleft\u005c{-\u005cinfty ,0,\u005cinfty \u005cright\u005c}
p16462
sg15
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sass(g1696
g16065
g16455
I1
tp16463
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g6
VPlot[InverseErf[x], {x, -1, 1}]
p16465
sg8
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g11
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sg13
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p16469
sg15
I2
sass(g1696
g16065
g16455
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tp16470
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g6
VInverseErf /@ {0.9, 1.0, 1.1}
p16472
sg8
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g11
(lp16475
sg13
V\u005cleft\u005c{1.16309,\u005cinfty ,\u005ctext{InverseErf}\u005cleft[1.1\u005cright]\u005cright\u005c}
p16476
sg15
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sass(g1696
g16065
VInverseErfc
p16477
I0
tp16478
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g6
VInverseErfc /@ {0, 1, 2}
p16480
sg8
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g11
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sg13
V\u005cleft\u005c{\u005cinfty ,0,-\u005cinfty \u005cright\u005c}
p16484
sg15
I1
sass(g1696
g16065
VJacobiP
p16485
I0
tp16486
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g6
VJacobiP[1, a, b, z]
p16488
sg8
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g11
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sg13
V\u005cfrac{a}{2}-\u005cfrac{b}{2}+z \u005cleft(1+\u005cfrac{a}{2}+\u005cfrac{b}{2}\u005cright)
p16492
sg15
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sass(g1696
g16065
g16485
I1
tp16493
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g6
VJacobiP[3.5 + I, 3, 2, 4 - I]
p16495
sg8
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g11
(lp16498
sg13
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p16499
sg15
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sass(g1696
g16065
VKelvinBei
p16500
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tp16501
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g6
VKelvinBei[0.5]
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VKelvinBei[1.5 + I]
p16510
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g11
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p16514
sg15
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sass(g1696
g16065
g16500
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tp16515
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g6
VKelvinBei[0.5, 0.25]
p16517
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p16521
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tp16522
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sg13
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0)+linewidth(0.66667));draw((0,228.616)--(4,228.616), rgb(0, 0, 0)+linewidth(0.66667));draw((0,237.295)--(4,237.295), rgb(0, 0, 0)+linewidth(0.66667));draw((0,245.973)--(4,245.973), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16528
sg15
I4
sass(g1696
g16065
VKelvinBer
p16529
I0
tp16530
(dp16531
g6
VKelvinBer[0.5]
p16532
sg8
(lp16533
(dp16534
g11
(lp16535
sg13
V0.999023
p16536
sg15
I1
sass(g1696
g16065
g16529
I1
tp16537
(dp16538
g6
VKelvinBer[1.5 + I]
p16539
sg8
(lp16540
(dp16541
g11
(lp16542
sg13
V1.1162-0.117944 I
p16543
sg15
I2
sass(g1696
g16065
g16529
I2
tp16544
(dp16545
g6
VKelvinBer[0.5, 0.25]
p16546
sg8
(lp16547
(dp16548
g11
(lp16549
sg13
V0.148824
p16550
sg15
I3
sass(g1696
g16065
g16529
I3
tp16551
(dp16552
g6
VPlot[KelvinBer[x], {x, 0, 10}]
p16553
sg8
(lp16554
(dp16555
g11
(lp16556
sg13
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0)+linewidth(0.66667));draw((0,95.8674)--(4,95.8674), rgb(0, 0, 0)+linewidth(0.66667));draw((0,108.365)--(4,108.365), rgb(0, 0, 0)+linewidth(0.66667));draw((0,120.862)--(4,120.862), rgb(0, 0, 0)+linewidth(0.66667));draw((0,145.856)--(4,145.856), rgb(0, 0, 0)+linewidth(0.66667));draw((0,158.353)--(4,158.353), rgb(0, 0, 0)+linewidth(0.66667));draw((0,170.85)--(4,170.85), rgb(0, 0, 0)+linewidth(0.66667));draw((0,195.845)--(4,195.845), rgb(0, 0, 0)+linewidth(0.66667));draw((0,208.342)--(4,208.342), rgb(0, 0, 0)+linewidth(0.66667));draw((0,220.839)--(4,220.839), rgb(0, 0, 0)+linewidth(0.66667));draw((0,245.833)--(4,245.833), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16557
sg15
I4
sass(g1696
g16065
VKelvinKei
p16558
I0
tp16559
(dp16560
g6
VKelvinKei[0.5]
p16561
sg8
(lp16562
(dp16563
g11
(lp16564
sg13
V-0.671582
p16565
sg15
I1
sass(g1696
g16065
g16558
I1
tp16566
(dp16567
g6
VKelvinKei[1.5 + I]
p16568
sg8
(lp16569
(dp16570
g11
(lp16571
sg13
V-0.248994+0.303326 I
p16572
sg15
I2
sass(g1696
g16065
g16558
I2
tp16573
(dp16574
g6
VKelvinKei[0.5, 0.25]
p16575
sg8
(lp16576
(dp16577
g11
(lp16578
sg13
V-2.0517
p16579
sg15
I3
sass(g1696
g16065
g16558
I3
tp16580
(dp16581
g6
VPlot[KelvinKei[x], {x, 0, 10}]
p16582
sg8
(lp16583
(dp16584
g11
(lp16585
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((0,53.2751)--(4,53.2751), rgb(0, 0, 0)+linewidth(0.66667));draw((0,62.6159)--(4,62.6159), rgb(0, 0, 0)+linewidth(0.66667));draw((0,71.9568)--(4,71.9568), rgb(0, 0, 0)+linewidth(0.66667));draw((0,81.2977)--(4,81.2977), rgb(0, 0, 0)+linewidth(0.66667));draw((0,99.9794)--(4,99.9794), rgb(0, 0, 0)+linewidth(0.66667));draw((0,109.32)--(4,109.32), rgb(0, 0, 0)+linewidth(0.66667));draw((0,118.661)--(4,118.661), rgb(0, 0, 0)+linewidth(0.66667));draw((0,128.002)--(4,128.002), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.684)--(4,146.684), rgb(0, 0, 0)+linewidth(0.66667));draw((0,156.025)--(4,156.025), rgb(0, 0, 0)+linewidth(0.66667));draw((0,165.365)--(4,165.365), rgb(0, 0, 0)+linewidth(0.66667));draw((0,174.706)--(4,174.706), rgb(0, 0, 0)+linewidth(0.66667));draw((0,193.388)--(4,193.388), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.729)--(4,202.729), rgb(0, 0, 0)+linewidth(0.66667));draw((0,212.07)--(4,212.07), rgb(0, 0, 0)+linewidth(0.66667));draw((0,221.411)--(4,221.411), rgb(0, 0, 0)+linewidth(0.66667));draw((0,240.092)--(4,240.092), rgb(0, 0, 0)+linewidth(0.66667));draw((0,249.433)--(4,249.433), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16586
sg15
I4
sass(g1696
g16065
VKelvinKer
p16587
I0
tp16588
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p16615
sg15
I4
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p16616
I0
tp16617
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p16619
sg8
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p16623
sg15
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g16065
g16616
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tp16624
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VLaguerreL[3/2, 1.7]
p16626
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p16630
sg15
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sass(g1696
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g16616
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tp16631
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p16633
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p16637
sg15
I3
sass(g1696
g16065
VLegendreP
p16638
I0
tp16639
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g6
VLegendreP[4, x]
p16641
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p16645
sg15
I1
sass(g1696
g16065
g16638
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tp16646
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g6
VLegendreP[5/2, 1.5]
p16648
sg8
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g11
(lp16651
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p16652
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sass(g1696
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p16655
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p16659
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sass(g1696
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tp16660
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p16662
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p16666
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p16669
sg8
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g11
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0)+linewidth(0.66667));draw((200,27.8597)--(204,27.8597), rgb(0, 0, 0)+linewidth(0.66667));draw((200,49.1368)--(204,49.1368), rgb(0, 0, 0)+linewidth(0.66667));draw((200,59.7754)--(204,59.7754), rgb(0, 0, 0)+linewidth(0.66667));draw((200,70.414)--(204,70.414), rgb(0, 0, 0)+linewidth(0.66667));draw((200,91.6911)--(204,91.6911), rgb(0, 0, 0)+linewidth(0.66667));draw((200,102.33)--(204,102.33), rgb(0, 0, 0)+linewidth(0.66667));draw((200,112.968)--(204,112.968), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.245)--(204,134.245), rgb(0, 0, 0)+linewidth(0.66667));draw((200,144.884)--(204,144.884), rgb(0, 0, 0)+linewidth(0.66667));draw((200,155.522)--(204,155.522), rgb(0, 0, 0)+linewidth(0.66667));draw((200,176.8)--(204,176.8), rgb(0, 0, 0)+linewidth(0.66667));draw((200,187.438)--(204,187.438), rgb(0, 0, 0)+linewidth(0.66667));draw((200,198.077)--(204,198.077), rgb(0, 0, 0)+linewidth(0.66667));draw((200,219.354)--(204,219.354), rgb(0, 0, 0)+linewidth(0.66667));draw((200,229.992)--(204,229.992), rgb(0, 0, 0)+linewidth(0.66667));draw((200,240.631)--(204,240.631), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16673
sg15
I5
sass(g1696
g16065
VLegendreQ
p16674
I0
tp16675
(dp16676
g6
VLegendreQ[5/2, 1.5]
p16677
sg8
(lp16678
(dp16679
g11
(lp16680
sg13
V0.036211-6.56219 I
p16681
sg15
I1
sass(g1696
g16065
g16674
I1
tp16682
(dp16683
g6
VLegendreQ[1.75, 1.4, 0.53]
p16684
sg8
(lp16685
(dp16686
g11
(lp16687
sg13
V2.05499
p16688
sg15
I2
sass(g1696
g16065
g16674
I2
tp16689
(dp16690
g6
VLegendreQ[1.6, 3.1, 1.5]
p16691
sg8
(lp16692
(dp16693
g11
(lp16694
sg13
V-1.71931-7.70273 I
p16695
sg15
I3
sass(g1696
g16065
VLerchPhi
p16696
I0
tp16697
(dp16698
g6
VLerchPhi[2, 3, -1.5]
p16699
sg8
(lp16700
(dp16701
g11
(lp16702
sg13
V19.3893-2.1346 I
p16703
sg15
I1
sass(g1696
g16065
g16696
I1
tp16704
(dp16705
g6
VLerchPhi[1, 2, 1/4]
p16706
sg8
(lp16707
(dp16708
g11
(lp16709
sg13
V17.1973
p16710
sg15
I2
sass(g1696
g16065
VProductLog
p16711
I0
tp16712
(dp16713
g6
Vz == ProductLog[z] * E ^ ProductLog[z]
p16714
sg8
(lp16715
(dp16716
g11
(lp16717
sg13
V\u005ctext{True}
p16718
sg15
I1
sass(g1696
g16065
g16711
I1
tp16719
(dp16720
g6
VProductLog[0]
p16721
sg8
(lp16722
(dp16723
g11
(lp16724
sg13
V0
p16725
sg15
I2
sass(g1696
g16065
g16711
I2
tp16726
(dp16727
g6
VProductLog[E]
p16728
sg8
(lp16729
(dp16730
g11
(lp16731
sg13
V1
p16732
sg15
I3
sass(g1696
g16065
g16711
I3
tp16733
(dp16734
g6
VPlot[ProductLog[x], {x, -1/E, E}]
p16735
sg8
(lp16736
(dp16737
g11
(lp16738
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((7.1429,-57.0323)--(8.9286,-48.0982)--(10.714,-40.2494)--(12.5,-33.2125)--(13.393,-29.9409)--(14.286,-26.8109)--(16.071,-20.9227)--(17.857,-15.4598)--(19.643,-10.3562)--(20.536,-7.92277)--(21.429,-5.56093)--(23.214,-1.03363)--(25,3.25813)--(26.786,7.34097)--(28.571,11.237)--(32.143,18.5401)--(33.929,21.9766)--(35.714,25.286)--(39.286,31.5632)--(41.071,34.5479)--(42.857,37.4397)--(46.429,42.9691)--(48.214,45.6175)--(50,48.1945)--(53.571,53.1512)--(55.357,55.538)--(57.143,57.8682)--(60.714,62.3701)--(62.5,64.5469)--(64.286,66.6775)--(67.857,70.8082)--(69.643,72.8122)--(71.429,74.7776)--(75,78.599)--(76.786,80.4579)--(78.571,82.2841)--(82.143,85.8431)--(83.929,87.5783)--(85.714,89.2853)--(89.286,92.6188)--(91.071,94.247)--(92.857,95.8507)--(96.429,98.9877)--(98.214,100.523)--(100,102.036)--(103.57,  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(416.67,260.82)));\u000adraw((-16,44.8345)--(416,44.8345), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$0.5$", (112.48659617523558,42.167801415419405), (0,-1), rgb(0, 0, 0));\u000alabel("$1.0$", (177.2920235416241,42.167801415419405), (0,-1), rgb(0, 0, 0));\u000alabel("$1.5$", (242.09745090801266,42.167801415419405), (0,-1), rgb(0, 0, 0));\u000alabel("$2.0$", (306.9028782744012,42.167801415419405), (0,-1), rgb(0, 0, 0));\u000alabel("$2.5$", (371.7083056407897,42.167801415419405), (0,-1), rgb(0, 0, 0));\u000adraw((112.49,44.8345)--(112.49,51.5011), rgb(0, 0, 0)+linewidth(0.66667));draw((177.29,44.8345)--(177.29,51.5011), rgb(0, 0, 0)+linewidth(0.66667));draw((242.1,44.8345)--(242.1,51.5011), rgb(0, 0, 0)+linewidth(0.66667));draw((306.9,44.8345)--(306.9,51.5011), rgb(0, 0, 0)+linewidth(0.66667));draw((371.71,44.8345)--(371.71,51.5011), rgb(0, 0, 0)+linewidth(0.66667));draw((-4.1632,44.8345)--(-4.1632,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((8.7979,44.8345)--(8.7979,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((21.759,44.8345)--(21.759,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((34.72,44.8345)--(34.72,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((60.642,44.8345)--(60.642,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((73.603,44.8345)--(73.603,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((86.564,44.8345)--(86.564,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((99.526,44.8345)--(99.526,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((125.45,44.8345)--(125.45,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((138.41,44.8345)--(138.41,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((151.37,44.8345)--(151.37,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((164.33,44.8345)--(164.33,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((190.25,44.8345)--(190.25,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((203.21,44.8345)--(203.21,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((216.18,44.8345)--(216.18,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((229.14,44.8345)--(229.14,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((255.06,44.8345)--(255.06,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((268.02,44.8345)--(268.02,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((280.98,44.8345)--(280.98,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((293.94,44.8345)--(293.94,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((319.86,44.8345)--(319.86,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((332.83,44.8345)--(332.83,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((345.79,44.8345)--(345.79,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((358.75,44.8345)--(358.75,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((384.67,44.8345)--(384.67,48.8345), rgb(0, 0, 0)+linewidth(0.66667));draw((397.63,44.8345)--(397.63,48.8345), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((47.681,-12.9443)--(47.681,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.2$", (45.01450214218036,6.6060389212385875), (-1,0), rgb(0, 0, 0));\u000alabel("$0.2$", (45.01450214218036,83.06289724293354), (-1,0), rgb(0, 0, 0));\u000alabel("$0.4$", (45.01450214218036,121.29132640378101), (-1,0), rgb(0, 0, 0));\u000alabel("$0.6$", (45.01450214218036,159.51975556462853), (-1,0), rgb(0, 0, 0));\u000alabel("$0.8$", (45.01450214218036,197.748184725476), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (45.01450214218036,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((47.681,6.60604)--(54.348,6.60604), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,83.0629)--(54.348,83.0629), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,121.291)--(54.348,121.291), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,159.52)--(54.348,159.52), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,197.748)--(54.348,197.748), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,235.977)--(54.348,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,-2.95107)--(51.681,-2.95107), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,16.1631)--(51.681,16.1631), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,25.7203)--(51.681,25.7203), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,35.2774)--(51.681,35.2774), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,54.3916)--(51.681,54.3916), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,63.9487)--(51.681,63.9487), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,73.5058)--(51.681,73.5058), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,92.62)--(51.681,92.62), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,102.177)--(51.681,102.177), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,111.734)--(51.681,111.734), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,130.848)--(51.681,130.848), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,140.406)--(51.681,140.406), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,149.963)--(51.681,149.963), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,169.077)--(51.681,169.077), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,178.634)--(51.681,178.634), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,188.191)--(51.681,188.191), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,207.305)--(51.681,207.305), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,216.862)--(51.681,216.862), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,226.42)--(51.681,226.42), rgb(0, 0, 0)+linewidth(0.66667));draw((47.681,245.534)--(51.681,245.534), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16739
sg15
I4
sass(g1696
g16065
VSphericalHarmonicY
p16740
I0
tp16741
(dp16742
g6
VSphericalHarmonicY[3/4, 0.5, Pi/5, Pi/3]
p16743
sg8
(lp16744
(dp16745
g11
(lp16746
sg13
V0.254247+0.14679 I
p16747
sg15
I1
sass(g1696
g16065
g16740
I1
tp16748
(dp16749
g6
VSphericalHarmonicY[3, 1, theta, phi]
p16750
sg8
(lp16751
(dp16752
g11
(lp16753
sg13
V\u005cfrac{\u005csqrt{21} \u005cleft(1-5 \u005ctext{Cos}\u005cleft[\u005ctext{theta}\u005cright]^2\u005cright) E^{I \u005ctext{phi}} \u005ctext{Sin}\u005cleft[\u005ctext{theta}\u005cright]}{8 \u005csqrt{\u005ctext{Pi}}}
p16754
sg15
I2
sass(g1696
g16065
VStruveH
p16755
I0
tp16756
(dp16757
g6
VStruveH[1.5, 3.5]
p16758
sg8
(lp16759
(dp16760
g11
(lp16761
sg13
V1.13192
p16762
sg15
I1
sass(g1696
g16065
g16755
I1
tp16763
(dp16764
g6
VPlot[StruveH[0, x], {x, 0, 20}]
p16765
sg8
(lp16766
(dp16767
g11
(lp16768
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0));\u000alabel("$0.2$", (-2.6666666666666665,123.26285202995122), (-1,0), rgb(0, 0, 0));\u000alabel("$0.4$", (-2.6666666666666665,176.1139483669509), (-1,0), rgb(0, 0, 0));\u000alabel("$0.6$", (-2.6666666666666665,228.96504470395058), (-1,0), rgb(0, 0, 0));\u000adraw((0,17.5607)--(6.6667,17.5607), rgb(0, 0, 0)+linewidth(0.66667));draw((0,123.263)--(6.6667,123.263), rgb(0, 0, 0)+linewidth(0.66667));draw((0,176.114)--(6.6667,176.114), rgb(0, 0, 0)+linewidth(0.66667));draw((0,228.965)--(6.6667,228.965), rgb(0, 0, 0)+linewidth(0.66667));draw((0,4.34789)--(4,4.34789), rgb(0, 0, 0)+linewidth(0.66667));draw((0,30.7734)--(4,30.7734), rgb(0, 0, 0)+linewidth(0.66667));draw((0,43.9862)--(4,43.9862), rgb(0, 0, 0)+linewidth(0.66667));draw((0,57.199)--(4,57.199), rgb(0, 0, 0)+linewidth(0.66667));draw((0,83.6245)--(4,83.6245), rgb(0, 0, 0)+linewidth(0.66667));draw((0,96.8373)--(4,96.8373), rgb(0, 0, 0)+linewidth(0.66667));draw((0,110.05)--(4,110.05), rgb(0, 0, 0)+linewidth(0.66667));draw((0,136.476)--(4,136.476), rgb(0, 0, 0)+linewidth(0.66667));draw((0,149.688)--(4,149.688), rgb(0, 0, 0)+linewidth(0.66667));draw((0,162.901)--(4,162.901), rgb(0, 0, 0)+linewidth(0.66667));draw((0,189.327)--(4,189.327), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.539)--(4,202.539), rgb(0, 0, 0)+linewidth(0.66667));draw((0,215.752)--(4,215.752), rgb(0, 0, 0)+linewidth(0.66667));draw((0,242.178)--(4,242.178), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16769
sg15
I2
sass(g1696
g16065
VStruveL
p16770
I0
tp16771
(dp16772
g6
VStruveL[1.5, 3.5]
p16773
sg8
(lp16774
(dp16775
g11
(lp16776
sg13
V4.41126
p16777
sg15
I1
sass(g1696
g16065
g16770
I1
tp16778
(dp16779
g6
VPlot[StruveL[0, x], {x, 0, 5}]
p16780
sg8
(lp16781
(dp16782
g11
(lp16783
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((0,22.6541)--(4,22.6541), rgb(0, 0, 0)+linewidth(0.66667));draw((0,34.0712)--(4,34.0712), rgb(0, 0, 0)+linewidth(0.66667));draw((0,45.4884)--(4,45.4884), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.9055)--(4,56.9055), rgb(0, 0, 0)+linewidth(0.66667));draw((0,79.7398)--(4,79.7398), rgb(0, 0, 0)+linewidth(0.66667));draw((0,91.1569)--(4,91.1569), rgb(0, 0, 0)+linewidth(0.66667));draw((0,102.574)--(4,102.574), rgb(0, 0, 0)+linewidth(0.66667));draw((0,113.991)--(4,113.991), rgb(0, 0, 0)+linewidth(0.66667));draw((0,136.825)--(4,136.825), rgb(0, 0, 0)+linewidth(0.66667));draw((0,148.243)--(4,148.243), rgb(0, 0, 0)+linewidth(0.66667));draw((0,159.66)--(4,159.66), rgb(0, 0, 0)+linewidth(0.66667));draw((0,171.077)--(4,171.077), rgb(0, 0, 0)+linewidth(0.66667));draw((0,193.911)--(4,193.911), rgb(0, 0, 0)+linewidth(0.66667));draw((0,205.328)--(4,205.328), rgb(0, 0, 0)+linewidth(0.66667));draw((0,216.745)--(4,216.745), rgb(0, 0, 0)+linewidth(0.66667));draw((0,228.162)--(4,228.162), rgb(0, 0, 0)+linewidth(0.66667));draw((0,250.997)--(4,250.997), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16784
sg15
I2
sass(g1696
g16065
VWeberE
p16785
I0
tp16786
(dp16787
g6
VWeberE[1.5, 3.5]
p16788
sg8
(lp16789
(dp16790
g11
(lp16791
sg13
V-0.397256
p16792
sg15
I1
sass(g1696
g16065
g16785
I1
tp16793
(dp16794
g6
VPlot[WeberE[1, x], {x, -10, 10}]
p16795
sg8
(lp16796
(dp16797
g11
(lp16798
sg13
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p16799
sg15
I2
sass(g1696
g16065
VZeta
p16800
I0
tp16801
(dp16802
g6
VZeta[2]
p16803
sg8
(lp16804
(dp16805
g11
(lp16806
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p16807
sg15
I1
sass(g1696
g16065
g16800
I1
tp16808
(dp16809
g6
VZeta[-2.5 + I]
p16810
sg8
(lp16811
(dp16812
g11
(lp16813
sg13
V0.0235936+0.0014078 I
p16814
sg15
I2
sass(g1696
VPhysical and Chemical data
p16815
VElementData
p16816
I0
tp16817
(dp16818
g6
VElementData[74]
p16819
sg8
(lp16820
(dp16821
g11
(lp16822
sg13
V\u005ctext{Tungsten}
p16823
sg15
I1
sass(g1696
g16815
g16816
I1
tp16824
(dp16825
g6
VElementData["He", "AbsoluteBoilingPoint"]
p16826
sg8
(lp16827
(dp16828
g11
(lp16829
sg13
V4.22
p16830
sg15
I2
sass(g1696
g16815
g16816
I2
tp16831
(dp16832
g6
VElementData["Carbon", "IonizationEnergies"]
p16833
sg8
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(dp16835
g11
(lp16836
sg13
V\u005cleft\u005c{1086.5,2352.6,4620.5,6222.7,37831,47277.\u005cright\u005c}
p16837
sg15
I3
sass(g1696
g16815
g16816
I3
tp16838
(dp16839
g6
VElementData[16, "ElectronConfigurationString"]
p16840
sg8
(lp16841
(dp16842
g11
(lp16843
sg13
V\u005ctext{[Ne] 3s2 3p4}
p16844
sg15
I4
sass(g1696
g16815
g16816
I4
tp16845
(dp16846
g6
VElementData[73, "ElectronConfiguration"]
p16847
sg8
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g11
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sg13
V\u005cleft\u005c{\u005cleft\u005c{2\u005cright\u005c},\u005cleft\u005c{2,6\u005cright\u005c},\u005cleft\u005c{2,6,10\u005cright\u005c},\u005cleft\u005c{2,6,10,14\u005cright\u005c},\u005cleft\u005c{2,6,3\u005cright\u005c},\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c}
p16851
sg15
I5
sass(g1696
g16815
g16816
I5
tp16852
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g6
VLength[ElementData[All]]
p16854
sg8
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g11
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sg13
V118
p16858
sg15
I6
sass(g1696
g16815
g16816
I6
tp16859
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g6
VElementData["He", "ElectroNegativity"]
p16861
sg8
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g11
(lp16864
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright]
p16865
sg15
I7
sass(g1696
g16815
g16816
I7
tp16866
(dp16867
g6
VElementData["Tc", "SpecificHeat"]
p16868
sg8
(lp16869
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g11
(lp16871
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotAvailable}\u005cright]
p16872
sg15
I8
sass(g1696
g16815
g16816
I8
tp16873
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g6
VElementData["Properties"]
p16875
sg8
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g11
(lp16878
sg13
V\u005cleft\u005c{\u005ctext{Abbreviation},\u005ctext{AbsoluteBoilingPoint},\u005ctext{AbsoluteMeltingPoint},\u005ctext{AtomicNumber},\u005ctext{AtomicRadius},\u005ctext{AtomicWeight},\u005ctext{Block},\u005ctext{BoilingPoint},\u005ctext{BrinellHardness},\u005ctext{BulkModulus},\u005ctext{CovalentRadius},\u005ctext{CrustAbundance},\u005ctext{Density},\u005ctext{DiscoveryYear},\u005ctext{ElectroNegativity},\u005ctext{ElectronAffinity},\u005ctext{ElectronConfiguration},\u005ctext{ElectronConfigurationString},\u005ctext{ElectronShellConfiguration},\u005ctext{FusionHeat},\u005ctext{Group},\u005ctext{IonizationEnergies},\u005ctext{LiquidDensity},\u005ctext{MeltingPoint},\u005ctext{MohsHardness},\u005ctext{Name},\u005ctext{Period},\u005ctext{PoissonRatio},\u005ctext{Series},\u005ctext{ShearModulus},\u005ctext{SpecificHeat},\u005ctext{StandardName},\u005ctext{ThermalConductivity},\u005ctext{VanDerWaalsRadius},\u005ctext{VaporizationHeat},\u005ctext{VickersHardness},\u005ctext{YoungModulus}\u005cright\u005c}
p16879
sg15
I9
sass(g1696
g16815
g16816
I9
tp16880
(dp16881
g6
VListPlot[Table[ElementData[z, "AtomicWeight"], {z, 118}]]
p16882
sg8
(lp16883
(dp16884
g11
(lp16885
sg13
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p16886
sg15
I10
sass(g1696
VCalculus
p16887
VD
p16888
I0
tp16889
(dp16890
g6
VD[x^3 + x^2, x]
p16891
sg8
(lp16892
(dp16893
g11
(lp16894
sg13
V2 x+3 x^2
p16895
sg15
I1
sass(g1696
g16887
g16888
I1
tp16896
(dp16897
g6
VD[x^3 + x^2, {x, 2}]
p16898
sg8
(lp16899
(dp16900
g11
(lp16901
sg13
V2+6 x
p16902
sg15
I2
sass(g1696
g16887
g16888
I2
tp16903
(dp16904
g6
VD[Sin[Cos[x]], x]
p16905
sg8
(lp16906
(dp16907
g11
(lp16908
sg13
V-\u005ctext{Cos}\u005cleft[\u005ctext{Cos}\u005cleft[x\u005cright]\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright]
p16909
sg15
I3
sass(g1696
g16887
g16888
I3
tp16910
(dp16911
g6
VD[Sin[x], {x, 2}]
p16912
sg8
(lp16913
(dp16914
g11
(lp16915
sg13
V-\u005ctext{Sin}\u005cleft[x\u005cright]
p16916
sg15
I4
sass(g1696
g16887
g16888
I4
tp16917
(dp16918
g6
VD[Cos[t], {t, 2}]
p16919
sg8
(lp16920
(dp16921
g11
(lp16922
sg13
V-\u005ctext{Cos}\u005cleft[t\u005cright]
p16923
sg15
I5
sass(g1696
g16887
g16888
I5
tp16924
(dp16925
g6
VD[y, x]
p16926
sg8
(lp16927
(dp16928
g11
(lp16929
sg13
V0
p16930
sg15
I6
sass(g1696
g16887
g16888
I6
tp16931
(dp16932
g6
VD[x, x]
p16933
sg8
(lp16934
(dp16935
g11
(lp16936
sg13
V1
p16937
sg15
I7
sass(g1696
g16887
g16888
I7
tp16938
(dp16939
g6
VD[x + y, x]
p16940
sg8
(lp16941
(dp16942
g11
(lp16943
sg13
V1
p16944
sg15
I8
sass(g1696
g16887
g16888
I8
tp16945
(dp16946
g6
VD[f[x], x]
p16947
sg8
(lp16948
(dp16949
g11
(lp16950
sg13
Vf'\u005cleft[x\u005cright]
p16951
sg15
I9
sass(g1696
g16887
g16888
I9
tp16952
(dp16953
g6
VD[f[x, x], x]
p16954
sg8
(lp16955
(dp16956
g11
(lp16957
sg13
Vf^{\u005cleft(0,1\u005cright)}\u005cleft[x,x\u005cright]+f^{\u005cleft(1,0\u005cright)}\u005cleft[x,x\u005cright]
p16958
sg15
I10
sass(g1696
g16887
g16888
I10
tp16959
(dp16960
g6
VD[f[x, x], x] // InputForm
p16961
sg8
(lp16962
(dp16963
g11
(lp16964
sg13
V\u005ctext{Derivative}\u005cleft[0, 1\u005cright]\u005cleft[f\u005cright]\u005cleft[x, x\u005cright]\u005ctext{ + }\u005ctext{Derivative}\u005cleft[1, 0\u005cright]\u005cleft[f\u005cright]\u005cleft[x, x\u005cright]
p16965
sg15
I11
sass(g1696
g16887
g16888
I11
tp16966
(dp16967
g6
VD[f[2x+1, 2y, x+y], x]
p16968
sg8
(lp16969
(dp16970
g11
(lp16971
sg13
V2 f^{\u005cleft(1,0,0\u005cright)}\u005cleft[1+2 x,2 y,x+y\u005cright]+f^{\u005cleft(0,0,1\u005cright)}\u005cleft[1+2 x,2 y,x+y\u005cright]
p16972
sg15
I12
sass(g1696
g16887
g16888
I12
tp16973
(dp16974
g6
VD[f[x^2, x, 2y], {x,2}, y] // Expand
p16975
sg8
(lp16976
(dp16977
g11
(lp16978
sg13
V8 x f^{\u005cleft(1,1,1\u005cright)}\u005cleft[x^2,x,2 y\u005cright]+8 x^2 f^{\u005cleft(2,0,1\u005cright)}\u005cleft[x^2,x,2 y\u005cright]+2 f^{\u005cleft(0,2,1\u005cright)}\u005cleft[x^2,x,2 y\u005cright]+4 f^{\u005cleft(1,0,1\u005cright)}\u005cleft[x^2,x,2 y\u005cright]
p16979
sg15
I13
sass(g1696
g16887
g16888
I13
tp16980
(dp16981
g6
VD[x ^ 3 * Cos[y], {{x, y}}]
p16982
sg8
(lp16983
(dp16984
g11
(lp16985
sg13
V\u005cleft\u005c{3 x^2 \u005ctext{Cos}\u005cleft[y\u005cright],-x^3 \u005ctext{Sin}\u005cleft[y\u005cright]\u005cright\u005c}
p16986
sg15
I14
sass(g1696
g16887
g16888
I14
tp16987
(dp16988
g6
VD[Sin[x] * Cos[y], {{x,y}, 2}]
p16989
sg8
(lp16990
(dp16991
g11
(lp16992
sg13
V\u005cleft\u005c{\u005cleft\u005c{-\u005ctext{Cos}\u005cleft[y\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright],-\u005ctext{Cos}\u005cleft[x\u005cright] \u005ctext{Sin}\u005cleft[y\u005cright]\u005cright\u005c},\u005cleft\u005c{-\u005ctext{Cos}\u005cleft[x\u005cright] \u005ctext{Sin}\u005cleft[y\u005cright],-\u005ctext{Cos}\u005cleft[y\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright]\u005cright\u005c}\u005cright\u005c}
p16993
sg15
I15
sass(g1696
g16887
VDerivative
p16994
I0
tp16995
(dp16996
g6
VDerivative[1][Sin]
p16997
sg8
(lp16998
(dp16999
g11
(lp17000
sg13
V\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p17001
sg15
I1
sass(g1696
g16887
g16994
I1
tp17002
(dp17003
g6
VDerivative[3][Sin]
p17004
sg8
(lp17005
(dp17006
g11
(lp17007
sg13
V-\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p17008
sg15
I2
sass(g1696
g16887
g16994
I2
tp17009
(dp17010
g6
VDerivative[2][# ^ 3&]
p17011
sg8
(lp17012
(dp17013
g11
(lp17014
sg13
V6 \u005ctext{\u005c#1}\u005c&
p17015
sg15
I3
sass(g1696
g16887
g16994
I3
tp17016
(dp17017
g6
VSin'[x]
p17018
sg8
(lp17019
(dp17020
g11
(lp17021
sg13
V\u005ctext{Cos}\u005cleft[x\u005cright]
p17022
sg15
I4
sass(g1696
g16887
g16994
I4
tp17023
(dp17024
g6
V(# ^ 4&)''
p17025
sg8
(lp17026
(dp17027
g11
(lp17028
sg13
V12 \u005ctext{\u005c#1}^2\u005c&
p17029
sg15
I5
sass(g1696
g16887
g16994
I5
tp17030
(dp17031
g6
Vf'[x] // InputForm
p17032
sg8
(lp17033
(dp17034
g11
(lp17035
sg13
V\u005ctext{Derivative}\u005cleft[1\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p17036
sg15
I6
sass(g1696
g16887
g16994
I6
tp17037
(dp17038
g6
VDerivative[1][#2 Sin[#1]+Cos[#2]&]
p17039
sg8
(lp17040
(dp17041
g11
(lp17042
sg13
V\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright] \u005ctext{\u005c#2}\u005c&
p17043
sg15
I7
sass(g1696
g16887
g16994
I7
tp17044
(dp17045
g6
VDerivative[1,2][#2^3 Sin[#1]+Cos[#2]&]
p17046
sg8
(lp17047
(dp17048
g11
(lp17049
sg13
V6 \u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright] \u005ctext{\u005c#2}\u005c&
p17050
sg15
I8
sass(g1696
g16887
g16994
I8
tp17051
(dp17052
g6
VDerivative[1,2,1][#2^3 Sin[#1]+Cos[#2]&]
p17053
sg8
(lp17054
(dp17055
g11
(lp17056
sg13
V0\u005c&
p17057
sg15
I9
sass(g1696
g16887
g16994
I9
tp17058
(dp17059
g6
VDerivative[0,0,0][a+b+c]
p17060
sg8
(lp17061
(dp17062
g11
(lp17063
sg13
Va+b+c
p17064
sg15
I10
sass(g1696
g16887
g16994
I10
tp17065
(dp17066
g6
Vf[x_] := x ^ 2
p17067
sg8
(lp17068
(dp17069
g11
(lp17070
sg13
Nsg15
I11
sass(g1696
g16887
g16994
I11
tp17071
(dp17072
g6
Vf'[x]
p17073
sg8
(lp17074
(dp17075
g11
(lp17076
sg13
V2 x
p17077
sg15
I12
sass(g1696
g16887
g16994
I12
tp17078
(dp17079
g6
VDerivative[2, 1][h]
p17080
sg8
(lp17081
(dp17082
g11
(lp17083
sg13
Vh^{\u005cleft(2,1\u005cright)}
p17084
sg15
I13
sass(g1696
g16887
g16994
I13
tp17085
(dp17086
g6
VDerivative[2, 0, 1, 0][h[g]]
p17087
sg8
(lp17088
(dp17089
g11
(lp17090
sg13
Vh\u005cleft[g\u005cright]^{\u005cleft(2,0,1,0\u005cright)}
p17091
sg15
I14
sass(g1696
g16887
VDiscreteLimit
p17092
I0
tp17093
(dp17094
g6
VDiscreteLimit[n/(n + 1), n -> Infinity]
p17095
sg8
(lp17096
(dp17097
g11
(lp17098
sg13
V1
p17099
sg15
I1
sass(g1696
g16887
g17092
I1
tp17100
(dp17101
g6
VDiscreteLimit[f[n], n -> Infinity]
p17102
sg8
(lp17103
(dp17104
g11
(lp17105
sg13
Vf\u005cleft[\u005cinfty \u005cright]
p17106
sg15
I2
sass(g1696
g16887
VFindRoot
p17107
I0
tp17108
(dp17109
g6
VFindRoot[Cos[x], {x, 1}]
p17110
sg8
(lp17111
(dp17112
g11
(lp17113
sg13
V\u005cleft\u005c{x->1.5708\u005cright\u005c}
p17114
sg15
I1
sass(g1696
g16887
g17107
I1
tp17115
(dp17116
g6
VFindRoot[Sin[x] + Exp[x],{x, 0}]
p17117
sg8
(lp17118
(dp17119
g11
(lp17120
sg13
V\u005cleft\u005c{x->-0.588533\u005cright\u005c}
p17121
sg15
I2
sass(g1696
g16887
g17107
I2
tp17122
(dp17123
g6
VFindRoot[Sin[x] + Exp[x] == Pi,{x, 0}]
p17124
sg8
(lp17125
(dp17126
g11
(lp17127
sg13
V\u005cleft\u005c{x->0.866815\u005cright\u005c}
p17128
sg15
I3
sass(g1696
g16887
g17107
I3
tp17129
(dp17130
g6
Vx = 3;
p17131
sg8
(lp17132
(dp17133
g11
(lp17134
sg13
Nsg15
I4
sass(g1696
g16887
g17107
I4
tp17135
(dp17136
g6
VFindRoot[Tan[x] + Sin[x] == Pi, {x, 1}]
p17137
sg8
(lp17138
(dp17139
g11
(lp17140
sg13
V\u005cleft\u005c{3->1.14911\u005cright\u005c}
p17141
sg15
I5
sass(g1696
g16887
g17107
I5
tp17142
(dp17143
g6
VClear[x]
p17144
sg8
(lp17145
(dp17146
g11
(lp17147
sg13
Nsg15
I6
sass(g1696
g16887
g17107
I6
tp17148
(dp17149
g6
VFindRoot[x^2 + x + 1, {x, 1}]
p17150
sg8
(lp17151
(dp17152
g11
(lp17153
(dp17154
g149
I01
sg150
VFindRoot
p17155
sg152
Vmaxiter
p17156
sg154
VFindRoot::maxiter
p17157
sg156
VThe maximum number of iterations was exceeded. The result might be inaccurate.
p17158
sasg13
V\u005cleft\u005c{x->-1.\u005cright\u005c}
p17159
sg15
I7
sass(g1696
g16887
g17107
I7
tp17160
(dp17161
g6
VFindRoot[x ^ 2 + x + 1, {x, -I}]
p17162
sg8
(lp17163
(dp17164
g11
(lp17165
sg13
V\u005cleft\u005c{x->-0.5-0.866025 I\u005cright\u005c}
p17166
sg15
I8
sass(g1696
g16887
g17107
I8
tp17167
(dp17168
g6
VFindRoot[f[x] == 0, {x, 0}]
p17169
sg8
(lp17170
(dp17171
g11
(lp17172
(dp17173
g149
I01
sg150
VFindRoot
p17174
sg152
Vnnum
p17175
sg154
VFindRoot::nnum
p17176
sg156
VThe function value is not a number at x = 0..
p17177
sasg13
V\u005ctext{FindRoot}\u005cleft[f\u005cleft[x\u005cright]-0,\u005cleft\u005c{x,0\u005cright\u005c}\u005cright]
p17178
sg15
I9
sass(g1696
g16887
g17107
I9
tp17179
(dp17180
g6
VFindRoot[Sin[x] == x, {x, 0}]
p17181
sg8
(lp17182
(dp17183
g11
(lp17184
(dp17185
g149
I01
sg150
VFindRoot
p17186
sg152
Vdsing
p17187
sg154
VFindRoot::dsing
p17188
sg156
VEncountered a singular derivative at the point x = 0..
p17189
sasg13
V\u005ctext{FindRoot}\u005cleft[\u005ctext{Sin}\u005cleft[x\u005cright]-x,\u005cleft\u005c{x,0\u005cright\u005c}\u005cright]
p17190
sg15
I10
sass(g1696
g16887
VIntegers
p17191
I0
tp17192
(dp17193
g6
VSolve[-4 - 4 x + x^4 + x^5 == 0, x, Integers]
p17194
sg8
(lp17195
(dp17196
g11
(lp17197
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c}\u005cright\u005c}
p17198
sg15
I1
sass(g1696
g16887
g17191
I1
tp17199
(dp17200
g6
VSolve[x^4 == 4, x, Integers]
p17201
sg8
(lp17202
(dp17203
g11
(lp17204
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17205
sg15
I2
sass(g1696
g16887
VIntegrate
p17206
I0
tp17207
(dp17208
g6
VIntegrate[6 x ^ 2 + 3 x ^ 2 - 4 x + 10, x]
p17209
sg8
(lp17210
(dp17211
g11
(lp17212
sg13
V10 x-2 x^2+3 x^3
p17213
sg15
I1
sass(g1696
g16887
g17206
I1
tp17214
(dp17215
g6
VIntegrate[Sin[x] ^ 5, x]
p17216
sg8
(lp17217
(dp17218
g11
(lp17219
sg13
V-\u005ctext{Cos}\u005cleft[x\u005cright]-\u005cfrac{\u005ctext{Cos}\u005cleft[x\u005cright]^5}{5}+\u005cfrac{2 \u005ctext{Cos}\u005cleft[x\u005cright]^3}{3}
p17220
sg15
I2
sass(g1696
g16887
g17206
I2
tp17221
(dp17222
g6
VIntegrate[x ^ 2 + x, {x, 1, 3}]
p17223
sg8
(lp17224
(dp17225
g11
(lp17226
sg13
V\u005cfrac{38}{3}
p17227
sg15
I3
sass(g1696
g16887
g17206
I3
tp17228
(dp17229
g6
VIntegrate[Sin[x], {x, 0, Pi/2}]
p17230
sg8
(lp17231
(dp17232
g11
(lp17233
sg13
V1
p17234
sg15
I4
sass(g1696
g16887
g17206
I4
tp17235
(dp17236
g6
VIntegrate[1 / (1 - 4 x + x^2), x]
p17237
sg8
(lp17238
(dp17239
g11
(lp17240
sg13
V-\u005cfrac{\u005csqrt{3} \u005ctext{Log}\u005cleft[-2+\u005csqrt{3}+x\u005cright]}{6}+\u005cfrac{\u005csqrt{3} \u005ctext{Log}\u005cleft[-2-\u005csqrt{3}+x\u005cright]}{6}
p17241
sg15
I5
sass(g1696
g16887
g17206
I5
tp17242
(dp17243
g6
VIntegrate[4 Sin[x] Cos[x], x]
p17244
sg8
(lp17245
(dp17246
g11
(lp17247
sg13
V2 \u005ctext{Sin}\u005cleft[x\u005cright]^2
p17248
sg15
I6
sass(g1696
g16887
g17206
I7
tp17249
(dp17250
g6
VIntegrate[f[x], {x, a, b}] // TeXForm
p17251
sg8
(lp17252
(dp17253
g11
(lp17254
sg13
V\u005ctext{$\u005cbackslash$int\u005c_a${}^{\u005cwedge}$bf$\u005cbackslash$left[x$\u005cbackslash$right] $\u005cbackslash$, dx}
p17255
sg15
I7
sass(g1696
g16887
g17206
I13
tp17256
(dp17257
g6
VIntegrate[Abs[Sin[phi]], {phi, 0, 2Pi}] // N
p17258
sg8
(lp17259
(dp17260
g11
(lp17261
sg13
V4.
p17262
sg15
I8
sass(g1696
g16887
g17206
I14
tp17263
(dp17264
g6
V% // Precision
p17265
sg8
(lp17266
(dp17267
g11
(lp17268
sg13
V\u005ctext{MachinePrecision}
p17269
sg15
I9
sass(g1696
g16887
g17206
I20
tp17270
(dp17271
g6
VIntegrate[ArcSin[x / 3], x]
p17272
sg8
(lp17273
(dp17274
g11
(lp17275
sg13
Vx \u005ctext{ArcSin}\u005cleft[\u005cfrac{x}{3}\u005cright]+\u005csqrt{9-x^2}
p17276
sg15
I10
sass(g1696
g16887
g17206
I21
tp17277
(dp17278
g6
VIntegrate[f'[x], {x, a, b}]
p17279
sg8
(lp17280
(dp17281
g11
(lp17282
sg13
Vf\u005cleft[b\u005cright]-f\u005cleft[a\u005cright]
p17283
sg15
I11
sass(g1696
g16887
VLimit
p17284
I0
tp17285
(dp17286
g6
VLimit[x, x->2]
p17287
sg8
(lp17288
(dp17289
g11
(lp17290
sg13
V2
p17291
sg15
I1
sass(g1696
g16887
g17284
I1
tp17292
(dp17293
g6
VLimit[Sin[x] / x, x->0]
p17294
sg8
(lp17295
(dp17296
g11
(lp17297
sg13
V1
p17298
sg15
I2
sass(g1696
g16887
g17284
I2
tp17299
(dp17300
g6
VLimit[1/x, x->0, Direction->-1]
p17301
sg8
(lp17302
(dp17303
g11
(lp17304
sg13
g165
sg15
I3
sass(g1696
g16887
g17284
I3
tp17305
(dp17306
g6
VLimit[1/x, x->0, Direction->1]
p17307
sg8
(lp17308
(dp17309
g11
(lp17310
sg13
V-\u005cinfty 
p17311
sg15
I4
sass(g1696
g16887
VReals
p17312
I0
tp17313
(dp17314
g6
VSolve[x^3 == 1, x, Reals]
p17315
sg8
(lp17316
(dp17317
g11
(lp17318
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p17319
sg15
I1
sass(g1696
g16887
VRoot
p17320
I0
tp17321
(dp17322
g6
VRoot[#1 ^ 2 - 1&, 1]
p17323
sg8
(lp17324
(dp17325
g11
(lp17326
sg13
V-1
p17327
sg15
I1
sass(g1696
g16887
g17320
I1
tp17328
(dp17329
g6
VRoot[#1 ^ 2 - 1&, 2]
p17330
sg8
(lp17331
(dp17332
g11
(lp17333
sg13
V1
p17334
sg15
I2
sass(g1696
g16887
g17320
I2
tp17335
(dp17336
g6
VRoot[#1 ^ 5 + 2 #1 + 1&, 2]
p17337
sg8
(lp17338
(dp17339
g11
(lp17340
sg13
V\u005ctext{Root}\u005cleft[\u005ctext{\u005c#1}^5+2 \u005ctext{\u005c#1}+1\u005c&,2\u005cright]
p17341
sg15
I3
sass(g1696
g16887
VSolve
p17342
I0
tp17343
(dp17344
g6
VSolve[x ^ 2 - 3 x == 4, x]
p17345
sg8
(lp17346
(dp17347
g11
(lp17348
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->4\u005cright\u005c}\u005cright\u005c}
p17349
sg15
I1
sass(g1696
g16887
g17342
I1
tp17350
(dp17351
g6
VSolve[4 y - 8 == 0, y]
p17352
sg8
(lp17353
(dp17354
g11
(lp17355
sg13
V\u005cleft\u005c{\u005cleft\u005c{y->2\u005cright\u005c}\u005cright\u005c}
p17356
sg15
I2
sass(g1696
g16887
g17342
I2
tp17357
(dp17358
g6
Vsol = Solve[2 x^2 - 10 x - 12 == 0, x]
p17359
sg8
(lp17360
(dp17361
g11
(lp17362
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->6\u005cright\u005c}\u005cright\u005c}
p17363
sg15
I3
sass(g1696
g16887
g17342
I3
tp17364
(dp17365
g6
Vx /. sol
p17366
sg8
(lp17367
(dp17368
g11
(lp17369
sg13
V\u005cleft\u005c{-1,6\u005cright\u005c}
p17370
sg15
I4
sass(g1696
g16887
g17342
I4
tp17371
(dp17372
g6
VSolve[x + 1 == x, x]
p17373
sg8
(lp17374
(dp17375
g11
(lp17376
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17377
sg15
I5
sass(g1696
g16887
g17342
I5
tp17378
(dp17379
g6
VSolve[x ^ 2 == x ^ 2, x]
p17380
sg8
(lp17381
(dp17382
g11
(lp17383
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p17384
sg15
I6
sass(g1696
g16887
g17342
I6
tp17385
(dp17386
g6
VSolve[x / (x ^ 2 + 1) == 1, x]
p17387
sg8
(lp17388
(dp17389
g11
(lp17390
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->\u005cfrac{1}{2}-\u005cfrac{I}{2} \u005csqrt{3}\u005cright\u005c},\u005cleft\u005c{x->\u005cfrac{1}{2}+\u005cfrac{I}{2} \u005csqrt{3}\u005cright\u005c}\u005cright\u005c}
p17391
sg15
I7
sass(g1696
g16887
g17342
I7
tp17392
(dp17393
g6
VSolve[(x^2 + 3 x + 2)/(4 x - 2) == 0, x]
p17394
sg8
(lp17395
(dp17396
g11
(lp17397
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-2\u005cright\u005c},\u005cleft\u005c{x->-1\u005cright\u005c}\u005cright\u005c}
p17398
sg15
I8
sass(g1696
g16887
g17342
I8
tp17399
(dp17400
g6
VSolve[Cos[x] == 0, x]
p17401
sg8
(lp17402
(dp17403
g11
(lp17404
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->\u005cfrac{\u005ctext{Pi}}{2}\u005cright\u005c},\u005cleft\u005c{x->\u005cfrac{3 \u005ctext{Pi}}{2}\u005cright\u005c}\u005cright\u005c}
p17405
sg15
I9
sass(g1696
g16887
g17342
I9
tp17406
(dp17407
g6
VSolve[f[x + y] == 3, f[x + y]]
p17408
sg8
(lp17409
(dp17410
g11
(lp17411
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[x+y\u005cright]->3\u005cright\u005c}\u005cright\u005c}
p17412
sg15
I10
sass(g1696
g16887
g17342
I10
tp17413
(dp17414
g6
VSolve[a + b == 2, a + b]
p17415
sg8
(lp17416
(dp17417
g11
(lp17418
(dp17419
g149
I01
sg150
VSolve
p17420
sg152
g9258
sg154
VSolve::ivar
p17421
sg156
Va + b is not a valid variable.
p17422
sasg13
V\u005ctext{Solve}\u005cleft[a+b\u005ctext{==}2,a+b\u005cright]
p17423
sg15
I11
sass(g1696
g16887
g17342
I11
tp17424
(dp17425
g6
Vx = 3;
p17426
sg8
(lp17427
(dp17428
g11
(lp17429
sg13
Nsg15
I12
sass(g1696
g16887
g17342
I12
tp17430
(dp17431
g6
VSolve[x == 2, x]
p17432
sg8
(lp17433
(dp17434
g11
(lp17435
(dp17436
g149
I01
sg150
VSolve
p17437
sg152
g9258
sg154
VSolve::ivar
p17438
sg156
V3 is not a valid variable.
p17439
sasg13
V\u005ctext{Solve}\u005cleft[\u005ctext{False},3\u005cright]
p17440
sg15
I13
sass(g1696
g16887
g17342
I13
tp17441
(dp17442
g6
VClear[x]
p17443
sg8
(lp17444
(dp17445
g11
(lp17446
sg13
Nsg15
I14
sass(g1696
g16887
g17342
I14
tp17447
(dp17448
g6
VSolve[a < b, a]
p17449
sg8
(lp17450
(dp17451
g11
(lp17452
(dp17453
g149
I01
sg150
VSolve
p17454
sg152
Veqf
p17455
sg154
VSolve::eqf
p17456
sg156
Va < b is not a well-formed equation.
p17457
sasg13
V\u005ctext{Solve}\u005cleft[a<b,a\u005cright]
p17458
sg15
I15
sass(g1696
g16887
g17342
I15
tp17459
(dp17460
g6
Veqs = {3 x ^ 2 - 3 y == 0, 3 y ^ 2 - 3 x == 0};
p17461
sg8
(lp17462
(dp17463
g11
(lp17464
sg13
Nsg15
I16
sass(g1696
g16887
g17342
I16
tp17465
(dp17466
g6
Vsol = Solve[eqs, {x, y}] // Simplify
p17467
sg8
(lp17468
(dp17469
g11
(lp17470
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->0,y->0\u005cright\u005c},\u005cleft\u005c{x->1,y->1\u005cright\u005c},\u005cleft\u005c{x->-\u005cfrac{1}{2}+\u005cfrac{I}{2} \u005csqrt{3},y->-\u005cfrac{1}{2}-\u005cfrac{I}{2} \u005csqrt{3}\u005cright\u005c},\u005cleft\u005c{x->\u005cfrac{\u005cleft(1-I \u005csqrt{3}\u005cright)^2}{4},y->-\u005cfrac{1}{2}+\u005cfrac{I}{2} \u005csqrt{3}\u005cright\u005c}\u005cright\u005c}
p17471
sg15
I17
sass(g1696
g16887
g17342
I17
tp17472
(dp17473
g6
Veqs /. sol // Simplify
p17474
sg8
(lp17475
(dp17476
g11
(lp17477
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c},\u005cleft\u005c{\u005ctext{False},\u005ctext{False}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c}\u005cright\u005c}
p17478
sg15
I18
sass(g1696
g16887
g17342
I18
tp17479
(dp17480
g6
VSolve[x^2 == 1 && z^2 == -1, {x, y, z}]
p17481
sg8
(lp17482
(dp17483
g11
(lp17484
(dp17485
g149
I01
sg150
VSolve
p17486
sg152
Vsvars
p17487
sg154
VSolve::svars
p17488
sg156
VEquations may not give solutions for all "solve" variables.
p17489
sasg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1,z->-I\u005cright\u005c},\u005cleft\u005c{x->-1,z->I\u005cright\u005c},\u005cleft\u005c{x->1,z->-I\u005cright\u005c},\u005cleft\u005c{x->1,z->I\u005cright\u005c}\u005cright\u005c}
p17490
sg15
I19
sass(g1696
g16887
g17342
I19
tp17491
(dp17492
g6
VSolve[x^2 == -1, x, Reals]
p17493
sg8
(lp17494
(dp17495
g11
(lp17496
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17497
sg15
I20
sass(g1696
g16887
g17342
I20
tp17498
(dp17499
g6
VSolve[x^2 == 1, x, Reals]
p17500
sg8
(lp17501
(dp17502
g11
(lp17503
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p17504
sg15
I21
sass(g1696
g16887
g17342
I21
tp17505
(dp17506
g6
VSolve[x^2 == -1, x, Complexes]
p17507
sg8
(lp17508
(dp17509
g11
(lp17510
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-I\u005cright\u005c},\u005cleft\u005c{x->I\u005cright\u005c}\u005cright\u005c}
p17511
sg15
I22
sass(g1696
g16887
g17342
I22
tp17512
(dp17513
g6
VSolve[4 - 4 * x^2 - x^4 + x^6 == 0, x, Integers]
p17514
sg8
(lp17515
(dp17516
g11
(lp17517
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p17518
sg15
I23
sass(g1696
VInteger Functions
p17519
VBitLength
p17520
I0
tp17521
(dp17522
g6
VBitLength[1023]
p17523
sg8
(lp17524
(dp17525
g11
(lp17526
sg13
V10
p17527
sg15
I1
sass(g1696
g17519
g17520
I1
tp17528
(dp17529
g6
VBitLength[100]
p17530
sg8
(lp17531
(dp17532
g11
(lp17533
sg13
V7
p17534
sg15
I2
sass(g1696
g17519
g17520
I2
tp17535
(dp17536
g6
VBitLength[-5]
p17537
sg8
(lp17538
(dp17539
g11
(lp17540
sg13
V3
p17541
sg15
I3
sass(g1696
g17519
g17520
I3
tp17542
(dp17543
g6
VBitLength[0]
p17544
sg8
(lp17545
(dp17546
g11
(lp17547
sg13
V0
p17548
sg15
I4
sass(g1696
g17519
VCeiling
p17549
I0
tp17550
(dp17551
g6
VCeiling[1.2]
p17552
sg8
(lp17553
(dp17554
g11
(lp17555
sg13
V2
p17556
sg15
I1
sass(g1696
g17519
g17549
I1
tp17557
(dp17558
g6
VCeiling[3/2]
p17559
sg8
(lp17560
(dp17561
g11
(lp17562
sg13
V2
p17563
sg15
I2
sass(g1696
g17519
g17549
I2
tp17564
(dp17565
g6
VCeiling[1.3 + 0.7 I]
p17566
sg8
(lp17567
(dp17568
g11
(lp17569
sg13
V2+I
p17570
sg15
I3
sass(g1696
g17519
VDigitCount
p17571
I0
tp17572
(dp17573
g6
VDigitCount[1022]
p17574
sg8
(lp17575
(dp17576
g11
(lp17577
sg13
V\u005cleft\u005c{1,2,0,0,0,0,0,0,0,1\u005cright\u005c}
p17578
sg15
I1
sass(g1696
g17519
g17571
I1
tp17579
(dp17580
g6
VDigitCount[Floor[Pi * 10^100]]
p17581
sg8
(lp17582
(dp17583
g11
(lp17584
sg13
V\u005cleft\u005c{8,12,12,10,8,9,8,12,14,8\u005cright\u005c}
p17585
sg15
I2
sass(g1696
g17519
g17571
I2
tp17586
(dp17587
g6
VDigitCount[1022, 2]
p17588
sg8
(lp17589
(dp17590
g11
(lp17591
sg13
V\u005cleft\u005c{9,1\u005cright\u005c}
p17592
sg15
I3
sass(g1696
g17519
g17571
I3
tp17593
(dp17594
g6
VDigitCount[1022, 2, 1]
p17595
sg8
(lp17596
(dp17597
g11
(lp17598
sg13
V9
p17599
sg15
I4
sass(g1696
g17519
VFloor
p17600
I0
tp17601
(dp17602
g6
VFloor[10.4]
p17603
sg8
(lp17604
(dp17605
g11
(lp17606
sg13
V10
p17607
sg15
I1
sass(g1696
g17519
g17600
I1
tp17608
(dp17609
g6
VFloor[10/3]
p17610
sg8
(lp17611
(dp17612
g11
(lp17613
sg13
V3
p17614
sg15
I2
sass(g1696
g17519
g17600
I2
tp17615
(dp17616
g6
VFloor[10]
p17617
sg8
(lp17618
(dp17619
g11
(lp17620
sg13
V10
p17621
sg15
I3
sass(g1696
g17519
g17600
I3
tp17622
(dp17623
g6
VFloor[21, 2]
p17624
sg8
(lp17625
(dp17626
g11
(lp17627
sg13
V20
p17628
sg15
I4
sass(g1696
g17519
g17600
I4
tp17629
(dp17630
g6
VFloor[2.6, 0.5]
p17631
sg8
(lp17632
(dp17633
g11
(lp17634
sg13
V2.5
p17635
sg15
I5
sass(g1696
g17519
g17600
I5
tp17636
(dp17637
g6
VFloor[-10.4]
p17638
sg8
(lp17639
(dp17640
g11
(lp17641
sg13
V-11
p17642
sg15
I6
sass(g1696
g17519
g17600
I6
tp17643
(dp17644
g6
VFloor[1.5 + 2.7 I]
p17645
sg8
(lp17646
(dp17647
g11
(lp17648
sg13
V1+2 I
p17649
sg15
I7
sass(g1696
g17519
g17600
I7
tp17650
(dp17651
g6
VFloor[10.4, -1]
p17652
sg8
(lp17653
(dp17654
g11
(lp17655
sg13
V11
p17656
sg15
I8
sass(g1696
g17519
g17600
I8
tp17657
(dp17658
g6
VFloor[-10.4, -1]
p17659
sg8
(lp17660
(dp17661
g11
(lp17662
sg13
V-10
p17663
sg15
I9
sass(g1696
g17519
VFromDigits
p17664
I0
tp17665
(dp17666
g6
VFromDigits["123"]
p17667
sg8
(lp17668
(dp17669
g11
(lp17670
sg13
V123
p17671
sg15
I1
sass(g1696
g17519
g17664
I1
tp17672
(dp17673
g6
VFromDigits[{1, 2, 3}]
p17674
sg8
(lp17675
(dp17676
g11
(lp17677
sg13
V123
p17678
sg15
I2
sass(g1696
g17519
g17664
I2
tp17679
(dp17680
g6
VFromDigits[{1, 0, 1}, 1000]
p17681
sg8
(lp17682
(dp17683
g11
(lp17684
sg13
V1000001
p17685
sg15
I3
sass(g1696
g17519
g17664
I3
tp17686
(dp17687
g6
VFromDigits[{a, b, c}, 5]
p17688
sg8
(lp17689
(dp17690
g11
(lp17691
sg13
Vc+5 \u005cleft(5 a+b\u005cright)
p17692
sg15
I4
sass(g1696
g17519
g17664
I4
tp17693
(dp17694
g6
VFromDigits["a0"]
p17695
sg8
(lp17696
(dp17697
g11
(lp17698
sg13
V100
p17699
sg15
I5
sass(g1696
g17519
g17664
I5
tp17700
(dp17701
g6
VFromDigits["a0", 16]
p17702
sg8
(lp17703
(dp17704
g11
(lp17705
sg13
V160
p17706
sg15
I6
sass(g1696
g17519
g17664
I6
tp17707
(dp17708
g6
VFromDigits[{}]
p17709
sg8
(lp17710
(dp17711
g11
(lp17712
sg13
V0
p17713
sg15
I7
sass(g1696
g17519
g17664
I7
tp17714
(dp17715
g6
VFromDigits[""]
p17716
sg8
(lp17717
(dp17718
g11
(lp17719
sg13
V0
p17720
sg15
I8
sass(g1696
g17519
VIntegerDigits
p17721
I0
tp17722
(dp17723
g6
VIntegerDigits[12345]
p17724
sg8
(lp17725
(dp17726
g11
(lp17727
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p17728
sg15
I1
sass(g1696
g17519
g17721
I1
tp17729
(dp17730
g6
VIntegerDigits[-500]
p17731
sg8
(lp17732
(dp17733
g11
(lp17734
sg13
V\u005cleft\u005c{5,0,0\u005cright\u005c}
p17735
sg15
I2
sass(g1696
g17519
g17721
I2
tp17736
(dp17737
g6
VIntegerDigits[12345, 10, 8]
p17738
sg8
(lp17739
(dp17740
g11
(lp17741
sg13
V\u005cleft\u005c{0,0,0,1,2,3,4,5\u005cright\u005c}
p17742
sg15
I3
sass(g1696
g17519
g17721
I3
tp17743
(dp17744
g6
VIntegerDigits[12345, 10, 3]
p17745
sg8
(lp17746
(dp17747
g11
(lp17748
sg13
V\u005cleft\u005c{3,4,5\u005cright\u005c}
p17749
sg15
I4
sass(g1696
g17519
g17721
I4
tp17750
(dp17751
g6
VIntegerDigits[11, 2]
p17752
sg8
(lp17753
(dp17754
g11
(lp17755
sg13
V\u005cleft\u005c{1,0,1,1\u005cright\u005c}
p17756
sg15
I5
sass(g1696
g17519
g17721
I5
tp17757
(dp17758
g6
VIntegerDigits[123, 8]
p17759
sg8
(lp17760
(dp17761
g11
(lp17762
sg13
V\u005cleft\u005c{1,7,3\u005cright\u005c}
p17763
sg15
I6
sass(g1696
g17519
g17721
I6
tp17764
(dp17765
g6
VIntegerDigits[98765, 20]
p17766
sg8
(lp17767
(dp17768
g11
(lp17769
sg13
V\u005cleft\u005c{12,6,18,5\u005cright\u005c}
p17770
sg15
I7
sass(g1696
g17519
VIntegerLength
p17771
I0
tp17772
(dp17773
g6
VIntegerLength[123456]
p17774
sg8
(lp17775
(dp17776
g11
(lp17777
sg13
V6
p17778
sg15
I1
sass(g1696
g17519
g17771
I1
tp17779
(dp17780
g6
VIntegerLength[10^10000]
p17781
sg8
(lp17782
(dp17783
g11
(lp17784
sg13
V10001
p17785
sg15
I2
sass(g1696
g17519
g17771
I2
tp17786
(dp17787
g6
VIntegerLength[-10^1000]
p17788
sg8
(lp17789
(dp17790
g11
(lp17791
sg13
V1001
p17792
sg15
I3
sass(g1696
g17519
g17771
I3
tp17793
(dp17794
g6
VIntegerLength[8, 2]
p17795
sg8
(lp17796
(dp17797
g11
(lp17798
sg13
V4
p17799
sg15
I4
sass(g1696
g17519
g17771
I4
tp17800
(dp17801
g6
VIntegerLength /@ (10 ^ Range[100]) == Range[2, 101]
p17802
sg8
(lp17803
(dp17804
g11
(lp17805
sg13
V\u005ctext{True}
p17806
sg15
I5
sass(g1696
g17519
g17771
I5
tp17807
(dp17808
g6
VIntegerLength[3, -2]
p17809
sg8
(lp17810
(dp17811
g11
(lp17812
(dp17813
g149
I01
sg150
VIntegerLength
p17814
sg152
Vbase
p17815
sg154
VIntegerLength::base
p17816
sg156
VBase -2 is not an integer greater than 1.
p17817
sasg13
V\u005ctext{IntegerLength}\u005cleft[3,-2\u005cright]
p17818
sg15
I6
sass(g1696
g17519
g17771
I6
tp17819
(dp17820
g6
VIntegerLength[0]
p17821
sg8
(lp17822
(dp17823
g11
(lp17824
sg13
V0
p17825
sg15
I7
sass(g1696
g17519
VIntegerReverse
p17826
I0
tp17827
(dp17828
g6
VIntegerReverse[1234]
p17829
sg8
(lp17830
(dp17831
g11
(lp17832
sg13
V4321
p17833
sg15
I1
sass(g1696
g17519
g17826
I1
tp17834
(dp17835
g6
VIntegerReverse[1022, 2]
p17836
sg8
(lp17837
(dp17838
g11
(lp17839
sg13
V511
p17840
sg15
I2
sass(g1696
g17519
g17826
I2
tp17841
(dp17842
g6
VIntegerReverse[-123]
p17843
sg8
(lp17844
(dp17845
g11
(lp17846
sg13
V321
p17847
sg15
I3
sass(g1696
g17519
VIntegerString
p17848
I0
tp17849
(dp17850
g6
VIntegerString[12345]
p17851
sg8
(lp17852
(dp17853
g11
(lp17854
sg13
V\u005ctext{12345}
p17855
sg15
I1
sass(g1696
g17519
g17848
I1
tp17856
(dp17857
g6
VIntegerString[-500]
p17858
sg8
(lp17859
(dp17860
g11
(lp17861
sg13
V\u005ctext{500}
p17862
sg15
I2
sass(g1696
g17519
g17848
I2
tp17863
(dp17864
g6
VIntegerString[12345, 10, 8]
p17865
sg8
(lp17866
(dp17867
g11
(lp17868
sg13
V\u005ctext{00012345}
p17869
sg15
I3
sass(g1696
g17519
g17848
I3
tp17870
(dp17871
g6
VIntegerString[12345, 10, 3]
p17872
sg8
(lp17873
(dp17874
g11
(lp17875
sg13
V\u005ctext{345}
p17876
sg15
I4
sass(g1696
g17519
g17848
I4
tp17877
(dp17878
g6
VIntegerString[11, 2]
p17879
sg8
(lp17880
(dp17881
g11
(lp17882
sg13
V\u005ctext{1011}
p17883
sg15
I5
sass(g1696
g17519
g17848
I5
tp17884
(dp17885
g6
VIntegerString[123, 8]
p17886
sg8
(lp17887
(dp17888
g11
(lp17889
sg13
V\u005ctext{173}
p17890
sg15
I6
sass(g1696
g17519
g17848
I6
tp17891
(dp17892
g6
VIntegerString[32767, 16]
p17893
sg8
(lp17894
(dp17895
g11
(lp17896
sg13
V\u005ctext{7fff}
p17897
sg15
I7
sass(g1696
g17519
g17848
I7
tp17898
(dp17899
g6
VIntegerString[98765, 20]
p17900
sg8
(lp17901
(dp17902
g11
(lp17903
sg13
V\u005ctext{c6i5}
p17904
sg15
I8
sass(g1696
VList Functions
p17905
VAccumulate
p17906
I0
tp17907
(dp17908
g6
VAccumulate[{1, 2, 3}]
p17909
sg8
(lp17910
(dp17911
g11
(lp17912
sg13
V\u005cleft\u005c{1,3,6\u005cright\u005c}
p17913
sg15
I1
sass(g1696
g17905
VAppend
p17914
I0
tp17915
(dp17916
g6
VAppend[{1, 2, 3}, 4]
p17917
sg8
(lp17918
(dp17919
g11
(lp17920
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p17921
sg15
I1
sass(g1696
g17905
g17914
I1
tp17922
(dp17923
g6
VAppend[f[a, b], c]
p17924
sg8
(lp17925
(dp17926
g11
(lp17927
sg13
Vf\u005cleft[a,b,c\u005cright]
p17928
sg15
I2
sass(g1696
g17905
g17914
I2
tp17929
(dp17930
g6
VAppend[{a, b}, {c, d}]
p17931
sg8
(lp17932
(dp17933
g11
(lp17934
sg13
V\u005cleft\u005c{a,b,\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}
p17935
sg15
I3
sass(g1696
g17905
VAppendTo
p17936
I0
tp17937
(dp17938
g6
Vs = {};
p17939
sg8
(lp17940
(dp17941
g11
(lp17942
sg13
Nsg15
I1
sass(g1696
g17905
g17936
I1
tp17943
(dp17944
g6
VAppendTo[s, 1]
p17945
sg8
(lp17946
(dp17947
g11
(lp17948
sg13
V\u005cleft\u005c{1\u005cright\u005c}
p17949
sg15
I2
sass(g1696
g17905
g17936
I2
tp17950
(dp17951
g6
g9693
sg8
(lp17952
(dp17953
g11
(lp17954
sg13
V\u005cleft\u005c{1\u005cright\u005c}
p17955
sg15
I3
sass(g1696
g17905
g17936
I3
tp17956
(dp17957
g6
Vy = f[];
p17958
sg8
(lp17959
(dp17960
g11
(lp17961
sg13
Nsg15
I4
sass(g1696
g17905
g17936
I4
tp17962
(dp17963
g6
VAppendTo[y, x]
p17964
sg8
(lp17965
(dp17966
g11
(lp17967
sg13
Vf\u005cleft[x\u005cright]
p17968
sg15
I5
sass(g1696
g17905
g17936
I5
tp17969
(dp17970
g6
g2055
sg8
(lp17971
(dp17972
g11
(lp17973
sg13
Vf\u005cleft[x\u005cright]
p17974
sg15
I6
sass(g1696
g17905
VArray
p17975
I0
tp17976
(dp17977
g6
VArray[f, 4]
p17978
sg8
(lp17979
(dp17980
g11
(lp17981
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright],f\u005cleft[4\u005cright]\u005cright\u005c}
p17982
sg15
I1
sass(g1696
g17905
g17975
I1
tp17983
(dp17984
g6
VArray[f, {2, 3}]
p17985
sg8
(lp17986
(dp17987
g11
(lp17988
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[1,1\u005cright],f\u005cleft[1,2\u005cright],f\u005cleft[1,3\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[2,1\u005cright],f\u005cleft[2,2\u005cright],f\u005cleft[2,3\u005cright]\u005cright\u005c}\u005cright\u005c}
p17989
sg15
I2
sass(g1696
g17905
g17975
I2
tp17990
(dp17991
g6
VArray[f, {2, 3}, 3]
p17992
sg8
(lp17993
(dp17994
g11
(lp17995
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[3,3\u005cright],f\u005cleft[3,4\u005cright],f\u005cleft[3,5\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[4,3\u005cright],f\u005cleft[4,4\u005cright],f\u005cleft[4,5\u005cright]\u005cright\u005c}\u005cright\u005c}
p17996
sg15
I3
sass(g1696
g17905
g17975
I3
tp17997
(dp17998
g6
VArray[f, {2, 3}, {4, 6}]
p17999
sg8
(lp18000
(dp18001
g11
(lp18002
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[4,6\u005cright],f\u005cleft[4,7\u005cright],f\u005cleft[4,8\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[5,6\u005cright],f\u005cleft[5,7\u005cright],f\u005cleft[5,8\u005cright]\u005cright\u005c}\u005cright\u005c}
p18003
sg15
I4
sass(g1696
g17905
g17975
I4
tp18004
(dp18005
g6
VArray[f, {2, 3}, 1, Plus]
p18006
sg8
(lp18007
(dp18008
g11
(lp18009
sg13
Vf\u005cleft[1,1\u005cright]+f\u005cleft[1,2\u005cright]+f\u005cleft[1,3\u005cright]+f\u005cleft[2,1\u005cright]+f\u005cleft[2,2\u005cright]+f\u005cleft[2,3\u005cright]
p18010
sg15
I5
sass(g1696
g17905
VAssociation
p18011
I0
tp18012
(dp18013
g6
VHead[<|a -> x, b -> y, c -> z|>]
p18014
sg8
(lp18015
(dp18016
g11
(lp18017
sg13
V\u005ctext{Association}
p18018
sg15
I1
sass(g1696
g17905
g18011
I1
tp18019
(dp18020
g6
V<|a -> x, b -> y|>
p18021
sg8
(lp18022
(dp18023
g11
(lp18024
sg13
V\u005ctext{<$\u005cvert$}a->x,b->y\u005ctext{$\u005cvert$>}
p18025
sg15
I2
sass(g1696
g17905
g18011
I2
tp18026
(dp18027
g6
VAssociation[{a -> x, b -> y}]
p18028
sg8
(lp18029
(dp18030
g11
(lp18031
sg13
V\u005ctext{<$\u005cvert$}a->x,b->y\u005ctext{$\u005cvert$>}
p18032
sg15
I3
sass(g1696
g17905
g18011
I3
tp18033
(dp18034
g6
V<|a -> x, b -> y, <|a -> z, d -> t|>|>
p18035
sg8
(lp18036
(dp18037
g11
(lp18038
sg13
V\u005ctext{<$\u005cvert$}a->z,b->y,d->t\u005ctext{$\u005cvert$>}
p18039
sg15
I4
sass(g1696
g17905
VAssociationQ
p18040
I0
tp18041
(dp18042
g6
VAssociationQ[<|a -> 1, b :> 2|>]
p18043
sg8
(lp18044
(dp18045
g11
(lp18046
sg13
V\u005ctext{True}
p18047
sg15
I1
sass(g1696
g17905
g18040
I1
tp18048
(dp18049
g6
VAssociationQ[<|a, b|>]
p18050
sg8
(lp18051
(dp18052
g11
(lp18053
sg13
V\u005ctext{False}
p18054
sg15
I2
sass(g1696
g17905
VCases
p18055
I0
tp18056
(dp18057
g6
VCases[{a, 1, 2.5, "string"}, _Integer|_Real]
p18058
sg8
(lp18059
(dp18060
g11
(lp18061
sg13
V\u005cleft\u005c{1,2.5\u005cright\u005c}
p18062
sg15
I1
sass(g1696
g17905
g18055
I1
tp18063
(dp18064
g6
VCases[_Complex][{1, 2I, 3, 4-I, 5}]
p18065
sg8
(lp18066
(dp18067
g11
(lp18068
sg13
V\u005cleft\u005c{2 I,4-I\u005cright\u005c}
p18069
sg15
I2
sass(g1696
g17905
VCatenate
p18070
I0
tp18071
(dp18072
g6
VCatenate[{{1, 2, 3}, {4, 5}}]
p18073
sg8
(lp18074
(dp18075
g11
(lp18076
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p18077
sg15
I1
sass(g1696
g17905
VCentralMoment
p18078
I0
tp18079
(dp18080
g6
VCentralMoment[{1.1, 1.2, 1.4, 2.1, 2.4}, 4]
p18081
sg8
(lp18082
(dp18083
g11
(lp18084
sg13
V0.100845
p18085
sg15
I1
sass(g1696
g17905
VClusteringComponents
p18086
I0
tp18087
(dp18088
g6
VClusteringComponents[{1, 2, 3, 1, 2, 10, 100}]
p18089
sg8
(lp18090
(dp18091
g11
(lp18092
sg13
V\u005cleft\u005c{1,1,1,1,1,1,2\u005cright\u005c}
p18093
sg15
I1
sass(g1696
g17905
g18086
I1
tp18094
(dp18095
g6
VClusteringComponents[{10, 100, 20}, Method -> "KMeans"]
p18096
sg8
(lp18097
(dp18098
g11
(lp18099
sg13
V\u005cleft\u005c{1,0,1\u005cright\u005c}
p18100
sg15
I2
sass(g1696
g17905
VComplement
p18101
I0
tp18102
(dp18103
g6
VComplement[{a, b, c}, {a, c}]
p18104
sg8
(lp18105
(dp18106
g11
(lp18107
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p18108
sg15
I1
sass(g1696
g17905
g18101
I1
tp18109
(dp18110
g6
VComplement[{a, b, c}, {a, c}, {b}]
p18111
sg8
(lp18112
(dp18113
g11
(lp18114
sg13
V\u005cleft\u005c{\u005cright\u005c}
p18115
sg15
I2
sass(g1696
g17905
g18101
I2
tp18116
(dp18117
g6
VComplement[f[z, y, x, w], f[x], f[x, z]]
p18118
sg8
(lp18119
(dp18120
g11
(lp18121
sg13
Vf\u005cleft[w,y\u005cright]
p18122
sg15
I3
sass(g1696
g17905
g18101
I3
tp18123
(dp18124
g6
VComplement[{c, b, a}]
p18125
sg8
(lp18126
(dp18127
g11
(lp18128
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p18129
sg15
I4
sass(g1696
g17905
VConstantArray
p18130
I0
tp18131
(dp18132
g6
VConstantArray[a, 3]
p18133
sg8
(lp18134
(dp18135
g11
(lp18136
sg13
V\u005cleft\u005c{a,a,a\u005cright\u005c}
p18137
sg15
I1
sass(g1696
g17905
g18130
I1
tp18138
(dp18139
g6
VConstantArray[a, {2, 3}]
p18140
sg8
(lp18141
(dp18142
g11
(lp18143
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,a,a\u005cright\u005c},\u005cleft\u005c{a,a,a\u005cright\u005c}\u005cright\u005c}
p18144
sg15
I2
sass(g1696
g17905
VContainsOnly
p18145
I0
tp18146
(dp18147
g6
VContainsOnly[{b, a, a}, {a, b, c}]
p18148
sg8
(lp18149
(dp18150
g11
(lp18151
sg13
V\u005ctext{True}
p18152
sg15
I1
sass(g1696
g17905
g18145
I1
tp18153
(dp18154
g6
VContainsOnly[{b, a, d}, {a, b, c}]
p18155
sg8
(lp18156
(dp18157
g11
(lp18158
sg13
V\u005ctext{False}
p18159
sg15
I2
sass(g1696
g17905
g18145
I2
tp18160
(dp18161
g6
VContainsOnly[{}, {a, b, c}]
p18162
sg8
(lp18163
(dp18164
g11
(lp18165
sg13
V\u005ctext{True}
p18166
sg15
I3
sass(g1696
g17905
g18145
I5
tp18167
(dp18168
g6
VContainsOnly[{a, 1.0}, {1, a, b}, {SameTest -> Equal}]
p18169
sg8
(lp18170
(dp18171
g11
(lp18172
sg13
V\u005ctext{True}
p18173
sg15
I4
sass(g1696
g17905
VCorrelation
p18174
I0
tp18175
(dp18176
g6
VCorrelation[{10, 8, 13, 9, 11, 14, 6, 4, 12, 7, 5}, {8.04, 6.95, 7.58, 8.81, 8.33, 9.96, 7.24, 4.26, 10.84, 4.82, 5.68}]
p18177
sg8
(lp18178
(dp18179
g11
(lp18180
sg13
V0.816421
p18181
sg15
I1
sass(g1696
g17905
VCount
p18182
I0
tp18183
(dp18184
g6
VCount[{3, 7, 10, 7, 5, 3, 7, 10}, 3]
p18185
sg8
(lp18186
(dp18187
g11
(lp18188
sg13
V2
p18189
sg15
I1
sass(g1696
g17905
g18182
I1
tp18190
(dp18191
g6
VCount[{{a, a}, {a, a, a}, a}, a, {2}]
p18192
sg8
(lp18193
(dp18194
g11
(lp18195
sg13
V5
p18196
sg15
I2
sass(g1696
g17905
VCovariance
p18197
I0
tp18198
(dp18199
g6
VCovariance[{0.2, 0.3, 0.1}, {0.3, 0.3, -0.2}]
p18200
sg8
(lp18201
(dp18202
g11
(lp18203
sg13
V0.025
p18204
sg15
I1
sass(g1696
g17905
VDelete
p18205
I0
tp18206
(dp18207
g6
VDelete[{a, b, c, d}, 3]
p18208
sg8
(lp18209
(dp18210
g11
(lp18211
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p18212
sg15
I1
sass(g1696
g17905
g18205
I1
tp18213
(dp18214
g6
VDelete[{a, b, c, d}, -2]
p18215
sg8
(lp18216
(dp18217
g11
(lp18218
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p18219
sg15
I2
sass(g1696
g17905
g18205
I2
tp18220
(dp18221
g6
VDelete[{a, b, c, d}, {{1}, {3}}]
p18222
sg8
(lp18223
(dp18224
g11
(lp18225
sg13
V\u005cleft\u005c{b,d\u005cright\u005c}
p18226
sg15
I3
sass(g1696
g17905
g18205
I3
tp18227
(dp18228
g6
VDelete[{{a, b}, {c, d}}, {2, 1}]
p18229
sg8
(lp18230
(dp18231
g11
(lp18232
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{d\u005cright\u005c}\u005cright\u005c}
p18233
sg15
I4
sass(g1696
g17905
g18205
I4
tp18234
(dp18235
g6
VDelete[{a, b, c}, 0]
p18236
sg8
(lp18237
(dp18238
g11
(lp18239
sg13
V\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]
p18240
sg15
I5
sass(g1696
g17905
g18205
I5
tp18241
(dp18242
g6
VDelete[f[a, b, c, d], 3]
p18243
sg8
(lp18244
(dp18245
g11
(lp18246
sg13
Vf\u005cleft[a,b,d\u005cright]
p18247
sg15
I6
sass(g1696
g17905
g18205
I6
tp18248
(dp18249
g6
VDelete[f[a, b, u + v, c], {3, 0}]
p18250
sg8
(lp18251
(dp18252
g11
(lp18253
sg13
Vf\u005cleft[a,b,u,v,c\u005cright]
p18254
sg15
I7
sass(g1696
g17905
g18205
I7
tp18255
(dp18256
g6
VDelete[{a, b, c}, 0]
p18257
sg8
(lp18258
(dp18259
g11
(lp18260
sg13
V\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]
p18261
sg15
I8
sass(g1696
g17905
g18205
I11
tp18262
(dp18263
g6
VDelete[{a, b, c, d}]
p18264
sg8
(lp18265
(dp18266
g11
(lp18267
(dp18268
g149
I01
sg150
VDelete
p18269
sg152
Vargr
p18270
sg154
VDelete::argr
p18271
sg156
VDelete called with 1 argument; 2 arguments are expected.
p18272
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c}\u005cright]
p18273
sg15
I9
sass(g1696
g17905
g18205
I12
tp18274
(dp18275
g6
VDelete[{a, b, c, d}, 1, 2]
p18276
sg8
(lp18277
(dp18278
g11
(lp18279
(dp18280
g149
I01
sg150
VDelete
p18281
sg152
Vargt
p18282
sg154
VDelete::argt
p18283
sg156
VDelete called with 3 arguments; 2 arguments are expected.
p18284
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},1,2\u005cright]
p18285
sg15
I10
sass(g1696
g17905
g18205
I13
tp18286
(dp18287
g6
VDelete[{a, b, c, d}, 5]
p18288
sg8
(lp18289
(dp18290
g11
(lp18291
(dp18292
g149
I01
sg150
VDelete
p18293
sg152
Vpartw
p18294
sg154
VDelete::partw
p18295
sg156
VPart {5} of {a, b, c, d} does not exist.
p18296
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},5\u005cright]
p18297
sg15
I11
sass(g1696
g17905
g18205
I15
tp18298
(dp18299
g6
VDelete[{a, b, c, d}, {1, n}]
p18300
sg8
(lp18301
(dp18302
g11
(lp18303
(dp18304
g149
I01
sg150
VDelete
p18305
sg152
Vpsl
p18306
sg154
VDelete::psl
p18307
sg156
VPosition specification n in {a, b, c, d} is not a machine-sized integer or a list of machine-sized integers.
p18308
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},\u005cleft\u005c{1,n\u005cright\u005c}\u005cright]
p18309
sg15
I12
sass(g1696
g17905
VDeleteCases
p18310
I0
tp18311
(dp18312
g6
VDeleteCases[{a, 1, 2.5, "string"}, _Integer|_Real]
p18313
sg8
(lp18314
(dp18315
g11
(lp18316
sg13
V\u005cleft\u005c{a,\u005ctext{string}\u005cright\u005c}
p18317
sg15
I1
sass(g1696
g17905
g18310
I1
tp18318
(dp18319
g6
VDeleteCases[{a, b, 1, c, 2, 3}, _Symbol]
p18320
sg8
(lp18321
(dp18322
g11
(lp18323
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p18324
sg15
I2
sass(g1696
g17905
VDeleteDuplicates
p18325
I0
tp18326
(dp18327
g6
VDeleteDuplicates[{1, 7, 8, 4, 3, 4, 1, 9, 9, 2, 1}]
p18328
sg8
(lp18329
(dp18330
g11
(lp18331
sg13
V\u005cleft\u005c{1,7,8,4,3,9,2\u005cright\u005c}
p18332
sg15
I1
sass(g1696
g17905
g18325
I1
tp18333
(dp18334
g6
VDeleteDuplicates[{3,2,1,2,3,4}, Less]
p18335
sg8
(lp18336
(dp18337
g11
(lp18338
sg13
V\u005cleft\u005c{3,2,1\u005cright\u005c}
p18339
sg15
I2
sass(g1696
g17905
VDrop
p18340
I0
tp18341
(dp18342
g6
VDrop[{a, b, c, d}, 3]
p18343
sg8
(lp18344
(dp18345
g11
(lp18346
sg13
V\u005cleft\u005c{d\u005cright\u005c}
p18347
sg15
I1
sass(g1696
g17905
g18340
I1
tp18348
(dp18349
g6
VDrop[{a, b, c, d}, -2]
p18350
sg8
(lp18351
(dp18352
g11
(lp18353
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p18354
sg15
I2
sass(g1696
g17905
g18340
I2
tp18355
(dp18356
g6
VDrop[{a, b, c, d, e}, {2, -2}]
p18357
sg8
(lp18358
(dp18359
g11
(lp18360
sg13
V\u005cleft\u005c{a,e\u005cright\u005c}
p18361
sg15
I3
sass(g1696
g17905
g18340
I3
tp18362
(dp18363
g6
VA = Table[i*10 + j, {i, 4}, {j, 4}]
p18364
sg8
(lp18365
(dp18366
g11
(lp18367
sg13
V\u005cleft\u005c{\u005cleft\u005c{11,12,13,14\u005cright\u005c},\u005cleft\u005c{21,22,23,24\u005cright\u005c},\u005cleft\u005c{31,32,33,34\u005cright\u005c},\u005cleft\u005c{41,42,43,44\u005cright\u005c}\u005cright\u005c}
p18368
sg15
I4
sass(g1696
g17905
g18340
I4
tp18369
(dp18370
g6
VDrop[A, {2, 3}, {2, 3}]
p18371
sg8
(lp18372
(dp18373
g11
(lp18374
sg13
V\u005cleft\u005c{\u005cleft\u005c{11,14\u005cright\u005c},\u005cleft\u005c{41,44\u005cright\u005c}\u005cright\u005c}
p18375
sg15
I5
sass(g1696
g17905
VExtract
p18376
I0
tp18377
(dp18378
g6
VExtract[a + b + c, {2}]
p18379
sg8
(lp18380
(dp18381
g11
(lp18382
sg13
g261
sg15
I1
sass(g1696
g17905
g18376
I1
tp18383
(dp18384
g6
VExtract[{{a, b}, {c, d}}, {{1}, {2, 2}}]
p18385
sg8
(lp18386
(dp18387
g11
(lp18388
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},d\u005cright\u005c}
p18389
sg15
I2
sass(g1696
g17905
VFindClusters
p18390
I0
tp18391
(dp18392
g6
VFindClusters[{1, 2, 20, 10, 11, 40, 19, 42}]
p18393
sg8
(lp18394
(dp18395
g11
(lp18396
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,20,10,11,19\u005cright\u005c},\u005cleft\u005c{40,42\u005cright\u005c}\u005cright\u005c}
p18397
sg15
I1
sass(g1696
g17905
g18390
I1
tp18398
(dp18399
g6
VFindClusters[{25, 100, 17, 20}]
p18400
sg8
(lp18401
(dp18402
g11
(lp18403
sg13
V\u005cleft\u005c{\u005cleft\u005c{25,17,20\u005cright\u005c},\u005cleft\u005c{100\u005cright\u005c}\u005cright\u005c}
p18404
sg15
I2
sass(g1696
g17905
g18390
I2
tp18405
(dp18406
g6
VFindClusters[{3, 6, 1, 100, 20, 5, 25, 17, -10, 2}]
p18407
sg8
(lp18408
(dp18409
g11
(lp18410
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,6,1,5,-10,2\u005cright\u005c},\u005cleft\u005c{100\u005cright\u005c},\u005cleft\u005c{20,25,17\u005cright\u005c}\u005cright\u005c}
p18411
sg15
I3
sass(g1696
g17905
g18390
I3
tp18412
(dp18413
g6
VFindClusters[{1, 2, 10, 11, 20, 21}]
p18414
sg8
(lp18415
(dp18416
g11
(lp18417
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{10,11\u005cright\u005c},\u005cleft\u005c{20,21\u005cright\u005c}\u005cright\u005c}
p18418
sg15
I4
sass(g1696
g17905
g18390
I4
tp18419
(dp18420
g6
VFindClusters[{1, 2, 10, 11, 20, 21}, 2]
p18421
sg8
(lp18422
(dp18423
g11
(lp18424
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,10,11\u005cright\u005c},\u005cleft\u005c{20,21\u005cright\u005c}\u005cright\u005c}
p18425
sg15
I5
sass(g1696
g17905
g18390
I5
tp18426
(dp18427
g6
VFindClusters[{1 -> a, 2 -> b, 10 -> c}]
p18428
sg8
(lp18429
(dp18430
g11
(lp18431
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p18432
sg15
I6
sass(g1696
g17905
g18390
I6
tp18433
(dp18434
g6
VFindClusters[{1, 2, 5} -> {a, b, c}]
p18435
sg8
(lp18436
(dp18437
g11
(lp18438
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p18439
sg15
I7
sass(g1696
g17905
g18390
I7
tp18440
(dp18441
g6
VFindClusters[{1, 2, 3, 1, 2, 10, 100}, Method -> "Agglomerate"]
p18442
sg8
(lp18443
(dp18444
g11
(lp18445
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3,1,2,10\u005cright\u005c},\u005cleft\u005c{100\u005cright\u005c}\u005cright\u005c}
p18446
sg15
I8
sass(g1696
g17905
g18390
I8
tp18447
(dp18448
g6
VFindClusters[{1, 2, 3, 10, 17, 18}, Method -> "Agglomerate"]
p18449
sg8
(lp18450
(dp18451
g11
(lp18452
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3\u005cright\u005c},\u005cleft\u005c{10\u005cright\u005c},\u005cleft\u005c{17,18\u005cright\u005c}\u005cright\u005c}
p18453
sg15
I9
sass(g1696
g17905
g18390
I9
tp18454
(dp18455
g6
VFindClusters[{{1}, {5, 6}, {7}, {2, 4}}, DistanceFunction -> (Abs[Length[#1] - Length[#2]]&)]
p18456
sg8
(lp18457
(dp18458
g11
(lp18459
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{1\u005cright\u005c},\u005cleft\u005c{7\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{5,6\u005cright\u005c},\u005cleft\u005c{2,4\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18460
sg15
I10
sass(g1696
g17905
g18390
I10
tp18461
(dp18462
g6
VFindClusters[{"meep", "heap", "deep", "weep", "sheep", "leap", "keep"}, 3]
p18463
sg8
(lp18464
(dp18465
g11
(lp18466
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{meep},\u005ctext{deep},\u005ctext{weep},\u005ctext{keep}\u005cright\u005c},\u005cleft\u005c{\u005ctext{heap},\u005ctext{leap}\u005cright\u005c},\u005cleft\u005c{\u005ctext{sheep}\u005cright\u005c}\u005cright\u005c}
p18467
sg15
I11
sass(g1696
g17905
VFirst
p18468
I0
tp18469
(dp18470
g6
VFirst[{a, b, c}]
p18471
sg8
(lp18472
(dp18473
g11
(lp18474
sg13
g542
sg15
I1
sass(g1696
g17905
g18468
I1
tp18475
(dp18476
g6
VFirst[a + b + c]
p18477
sg8
(lp18478
(dp18479
g11
(lp18480
sg13
g542
sg15
I2
sass(g1696
g17905
g18468
I2
tp18481
(dp18482
g6
VFirst[x]
p18483
sg8
(lp18484
(dp18485
g11
(lp18486
(dp18487
g149
I01
sg150
VFirst
p18488
sg152
g10945
sg154
VFirst::normal
p18489
sg156
g10947
sasg13
V\u005ctext{First}\u005cleft[x\u005cright]
p18490
sg15
I3
sass(g1696
g17905
VFirstPosition
p18491
I0
tp18492
(dp18493
g6
VFirstPosition[{a, b, a, a, b, c, b}, b]
p18494
sg8
(lp18495
(dp18496
g11
(lp18497
sg13
V\u005cleft\u005c{2\u005cright\u005c}
p18498
sg15
I1
sass(g1696
g17905
g18491
I1
tp18499
(dp18500
g6
VFirstPosition[{{a, a, b}, {b, a, a}, {a, b, a}}, b]
p18501
sg8
(lp18502
(dp18503
g11
(lp18504
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p18505
sg15
I2
sass(g1696
g17905
g18491
I2
tp18506
(dp18507
g6
VFirstPosition[{x, y, z}, b]
p18508
sg8
(lp18509
(dp18510
g11
(lp18511
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotFound}\u005cright]
p18512
sg15
I3
sass(g1696
g17905
g18491
I3
tp18513
(dp18514
g6
VFirstPosition[{1 + x^2, 5, x^4, a + (1 + x^2)^2}, x^2]
p18515
sg8
(lp18516
(dp18517
g11
(lp18518
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p18519
sg15
I4
sass(g1696
g17905
VFold
p18520
I0
tp18521
(dp18522
g6
VFold[Plus, 5, {1, 1, 1}]
p18523
sg8
(lp18524
(dp18525
g11
(lp18526
sg13
V8
p18527
sg15
I1
sass(g1696
g17905
g18520
I1
tp18528
(dp18529
g6
VFold[f, 5, {1, 2, 3}]
p18530
sg8
(lp18531
(dp18532
g11
(lp18533
sg13
Vf\u005cleft[f\u005cleft[f\u005cleft[5,1\u005cright],2\u005cright],3\u005cright]
p18534
sg15
I2
sass(g1696
g17905
VFoldList
p18535
I0
tp18536
(dp18537
g6
VFoldList[f, x, {1, 2, 3}]
p18538
sg8
(lp18539
(dp18540
g11
(lp18541
sg13
V\u005cleft\u005c{x,f\u005cleft[x,1\u005cright],f\u005cleft[f\u005cleft[x,1\u005cright],2\u005cright],f\u005cleft[f\u005cleft[f\u005cleft[x,1\u005cright],2\u005cright],3\u005cright]\u005cright\u005c}
p18542
sg15
I1
sass(g1696
g17905
g18535
I1
tp18543
(dp18544
g6
VFoldList[Times, {1, 2, 3}]
p18545
sg8
(lp18546
(dp18547
g11
(lp18548
sg13
V\u005cleft\u005c{1,2,6\u005cright\u005c}
p18549
sg15
I2
sass(g1696
g17905
VGather
p18550
I0
tp18551
(dp18552
g6
VGather[{1, 7, 3, 7, 2, 3, 9}]
p18553
sg8
(lp18554
(dp18555
g11
(lp18556
sg13
V\u005cleft\u005c{\u005cleft\u005c{1\u005cright\u005c},\u005cleft\u005c{7,7\u005cright\u005c},\u005cleft\u005c{3,3\u005cright\u005c},\u005cleft\u005c{2\u005cright\u005c},\u005cleft\u005c{9\u005cright\u005c}\u005cright\u005c}
p18557
sg15
I1
sass(g1696
g17905
g18550
I1
tp18558
(dp18559
g6
VGather[{1/3, 2/6, 1/9}]
p18560
sg8
(lp18561
(dp18562
g11
(lp18563
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{1}{3},\u005cfrac{1}{3}\u005cright\u005c},\u005cleft\u005c{\u005cfrac{1}{9}\u005cright\u005c}\u005cright\u005c}
p18564
sg15
I2
sass(g1696
g17905
VGatherBy
p18565
I0
tp18566
(dp18567
g6
VGatherBy[{{1, 3}, {2, 2}, {1, 1}}, Total]
p18568
sg8
(lp18569
(dp18570
g11
(lp18571
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{1,3\u005cright\u005c},\u005cleft\u005c{2,2\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{1,1\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18572
sg15
I1
sass(g1696
g17905
g18565
I1
tp18573
(dp18574
g6
VGatherBy[{"xy", "abc", "ab"}, StringLength]
p18575
sg8
(lp18576
(dp18577
g11
(lp18578
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{xy},\u005ctext{ab}\u005cright\u005c},\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}\u005cright\u005c}
p18579
sg15
I2
sass(g1696
g17905
g18565
I2
tp18580
(dp18581
g6
VGatherBy[{{2, 0}, {1, 5}, {1, 0}}, Last]
p18582
sg8
(lp18583
(dp18584
g11
(lp18585
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{2,0\u005cright\u005c},\u005cleft\u005c{1,0\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{1,5\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18586
sg15
I3
sass(g1696
g17905
g18565
I3
tp18587
(dp18588
g6
VGatherBy[{{1, 2}, {2, 1}, {3, 5}, {5, 1}, {2, 2, 2}}, {Total, Length}]
p18589
sg8
(lp18590
(dp18591
g11
(lp18592
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{2,1\u005cright\u005c}\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{3,5\u005cright\u005c}\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2,2,2\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18593
sg15
I4
sass(g1696
g17905
VInsert
p18594
I0
tp18595
(dp18596
g6
VInsert[{a,b,c,d,e}, x, 3]
p18597
sg8
(lp18598
(dp18599
g11
(lp18600
sg13
V\u005cleft\u005c{a,b,x,c,d,e\u005cright\u005c}
p18601
sg15
I1
sass(g1696
g17905
g18594
I1
tp18602
(dp18603
g6
VInsert[{a,b,c,d,e}, x, -2]
p18604
sg8
(lp18605
(dp18606
g11
(lp18607
sg13
V\u005cleft\u005c{a,b,c,d,x,e\u005cright\u005c}
p18608
sg15
I2
sass(g1696
g17905
VIntersection
p18609
I0
tp18610
(dp18611
g6
VIntersection[{1000, 100, 10, 1}, {1, 5, 10, 15}]
p18612
sg8
(lp18613
(dp18614
g11
(lp18615
sg13
V\u005cleft\u005c{1,10\u005cright\u005c}
p18616
sg15
I1
sass(g1696
g17905
g18609
I1
tp18617
(dp18618
g6
VIntersection[{{a, b}, {x, y}}, {{x, x}, {x, y}, {x, z}}]
p18619
sg8
(lp18620
(dp18621
g11
(lp18622
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c}\u005cright\u005c}
p18623
sg15
I2
sass(g1696
g17905
g18609
I2
tp18624
(dp18625
g6
VIntersection[{c, b, a}]
p18626
sg8
(lp18627
(dp18628
g11
(lp18629
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p18630
sg15
I3
sass(g1696
g17905
g18609
I3
tp18631
(dp18632
g6
VIntersection[{1, 2, 3}, {2, 3, 4}, SameTest->Less]
p18633
sg8
(lp18634
(dp18635
g11
(lp18636
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p18637
sg15
I4
sass(g1696
g17905
VJoin
p18638
I0
tp18639
(dp18640
g6
VJoin[{a, b}, {c, d, e}]
p18641
sg8
(lp18642
(dp18643
g11
(lp18644
sg13
V\u005cleft\u005c{a,b,c,d,e\u005cright\u005c}
p18645
sg15
I1
sass(g1696
g17905
g18638
I1
tp18646
(dp18647
g6
VJoin[{{a, b}, {c, d}}, {{1, 2}, {3, 4}}]
p18648
sg8
(lp18649
(dp18650
g11
(lp18651
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c},\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{3,4\u005cright\u005c}\u005cright\u005c}
p18652
sg15
I2
sass(g1696
g17905
g18638
I2
tp18653
(dp18654
g6
VJoin[a + b, c + d, e + f]
p18655
sg8
(lp18656
(dp18657
g11
(lp18658
sg13
Va+b+c+d+e+f
p18659
sg15
I3
sass(g1696
g17905
g18638
I3
tp18660
(dp18661
g6
VJoin[a + b, c * d]
p18662
sg8
(lp18663
(dp18664
g11
(lp18665
(dp18666
g149
I01
sg150
VJoin
p18667
sg152
Vheads
p18668
sg154
VJoin::heads
p18669
sg156
VHeads Plus and Times are expected to be the same.
p18670
sasg13
V\u005ctext{Join}\u005cleft[a+b,c d\u005cright]
p18671
sg15
I4
sass(g1696
g17905
VKeys
p18672
I0
tp18673
(dp18674
g6
VKeys[<|a -> x, b -> y|>]
p18675
sg8
(lp18676
(dp18677
g11
(lp18678
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p18679
sg15
I1
sass(g1696
g17905
g18672
I1
tp18680
(dp18681
g6
VKeys[{a -> x, b -> y}]
p18682
sg8
(lp18683
(dp18684
g11
(lp18685
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p18686
sg15
I2
sass(g1696
g17905
g18672
I2
tp18687
(dp18688
g6
VKeys[{<|a -> x, b -> y|>, {w -> z, {}}}]
p18689
sg8
(lp18690
(dp18691
g11
(lp18692
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{w,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18693
sg15
I3
sass(g1696
g17905
g18672
I3
tp18694
(dp18695
g6
VKeys[{c -> z, b -> y, a -> x}]
p18696
sg8
(lp18697
(dp18698
g11
(lp18699
sg13
V\u005cleft\u005c{c,b,a\u005cright\u005c}
p18700
sg15
I4
sass(g1696
g17905
VKurtosis
p18701
I0
tp18702
(dp18703
g6
VKurtosis[{1.1, 1.2, 1.4, 2.1, 2.4}]
p18704
sg8
(lp18705
(dp18706
g11
(lp18707
sg13
V1.42098
p18708
sg15
I1
sass(g1696
g17905
VLast
p18709
I0
tp18710
(dp18711
g6
VLast[{a, b, c}]
p18712
sg8
(lp18713
(dp18714
g11
(lp18715
sg13
g444
sg15
I1
sass(g1696
g17905
g18709
I1
tp18716
(dp18717
g6
VLast[x]
p18718
sg8
(lp18719
(dp18720
g11
(lp18721
(dp18722
g149
I01
sg150
VLast
p18723
sg152
g10945
sg154
VLast::normal
p18724
sg156
g10947
sasg13
V\u005ctext{Last}\u005cleft[x\u005cright]
p18725
sg15
I2
sass(g1696
g17905
VLeafCount
p18726
I0
tp18727
(dp18728
g6
VLeafCount[1 + x + y^a]
p18729
sg8
(lp18730
(dp18731
g11
(lp18732
sg13
V6
p18733
sg15
I1
sass(g1696
g17905
g18726
I1
tp18734
(dp18735
g6
VLeafCount[f[x, y]]
p18736
sg8
(lp18737
(dp18738
g11
(lp18739
sg13
V3
p18740
sg15
I2
sass(g1696
g17905
g18726
I2
tp18741
(dp18742
g6
VLeafCount[{1 / 3, 1 + I}]
p18743
sg8
(lp18744
(dp18745
g11
(lp18746
sg13
V7
p18747
sg15
I3
sass(g1696
g17905
g18726
I3
tp18748
(dp18749
g6
VLeafCount[Sqrt[2]]
p18750
sg8
(lp18751
(dp18752
g11
(lp18753
sg13
V5
p18754
sg15
I4
sass(g1696
g17905
g18726
I4
tp18755
(dp18756
g6
VLeafCount[100!]
p18757
sg8
(lp18758
(dp18759
g11
(lp18760
sg13
V1
p18761
sg15
I5
sass(g1696
g17905
VLength
p18762
I0
tp18763
(dp18764
g6
VLength[{1, 2, 3}]
p18765
sg8
(lp18766
(dp18767
g11
(lp18768
sg13
V3
p18769
sg15
I1
sass(g1696
g17905
g18762
I1
tp18770
(dp18771
g6
VLength[Exp[x]]
p18772
sg8
(lp18773
(dp18774
g11
(lp18775
sg13
V2
p18776
sg15
I2
sass(g1696
g17905
g18762
I2
tp18777
(dp18778
g6
VFullForm[Exp[x]]
p18779
sg8
(lp18780
(dp18781
g11
(lp18782
sg13
V\u005ctext{Power}\u005cleft[E, x\u005cright]
p18783
sg15
I3
sass(g1696
g17905
g18762
I3
tp18784
(dp18785
g6
VLength[a]
p18786
sg8
(lp18787
(dp18788
g11
(lp18789
sg13
V0
p18790
sg15
I4
sass(g1696
g17905
g18762
I4
tp18791
(dp18792
g6
VLength[1/3]
p18793
sg8
(lp18794
(dp18795
g11
(lp18796
sg13
V0
p18797
sg15
I5
sass(g1696
g17905
g18762
I5
tp18798
(dp18799
g6
VFullForm[1/3]
p18800
sg8
(lp18801
(dp18802
g11
(lp18803
sg13
V\u005ctext{Rational}\u005cleft[1, 3\u005cright]
p18804
sg15
I6
sass(g1696
g17905
VLevel
p18805
I0
tp18806
(dp18807
g6
VLevel[a + b ^ 3 * f[2 x ^ 2], {-1}]
p18808
sg8
(lp18809
(dp18810
g11
(lp18811
sg13
V\u005cleft\u005c{a,b,3,2,x,2\u005cright\u005c}
p18812
sg15
I1
sass(g1696
g17905
g18805
I1
tp18813
(dp18814
g6
VLevel[{{{{a}}}}, 3]
p18815
sg8
(lp18816
(dp18817
g11
(lp18818
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18819
sg15
I2
sass(g1696
g17905
g18805
I2
tp18820
(dp18821
g6
VLevel[{{{{a}}}}, -4]
p18822
sg8
(lp18823
(dp18824
g11
(lp18825
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18826
sg15
I3
sass(g1696
g17905
g18805
I3
tp18827
(dp18828
g6
VLevel[{{{{a}}}}, -5]
p18829
sg8
(lp18830
(dp18831
g11
(lp18832
sg13
V\u005cleft\u005c{\u005cright\u005c}
p18833
sg15
I4
sass(g1696
g17905
g18805
I4
tp18834
(dp18835
g6
VLevel[h0[h1[h2[h3[a]]]], {0, -1}]
p18836
sg8
(lp18837
(dp18838
g11
(lp18839
sg13
V\u005cleft\u005c{a,\u005ctext{h3}\u005cleft[a\u005cright],\u005ctext{h2}\u005cleft[\u005ctext{h3}\u005cleft[a\u005cright]\u005cright],\u005ctext{h1}\u005cleft[\u005ctext{h2}\u005cleft[\u005ctext{h3}\u005cleft[a\u005cright]\u005cright]\u005cright],\u005ctext{h0}\u005cleft[\u005ctext{h1}\u005cleft[\u005ctext{h2}\u005cleft[\u005ctext{h3}\u005cleft[a\u005cright]\u005cright]\u005cright]\u005cright]\u005cright\u005c}
p18840
sg15
I5
sass(g1696
g17905
g18805
I5
tp18841
(dp18842
g6
VLevel[{{{{a}}}}, 3, Heads -> True]
p18843
sg8
(lp18844
(dp18845
g11
(lp18846
sg13
V\u005cleft\u005c{\u005ctext{List},\u005ctext{List},\u005ctext{List},\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18847
sg15
I6
sass(g1696
g17905
g18805
I6
tp18848
(dp18849
g6
VLevel[x^2 + y^3, 3, Heads -> True]
p18850
sg8
(lp18851
(dp18852
g11
(lp18853
sg13
V\u005cleft\u005c{\u005ctext{Plus},\u005ctext{Power},x,2,x^2,\u005ctext{Power},y,3,y^3\u005cright\u005c}
p18854
sg15
I7
sass(g1696
g17905
g18805
I7
tp18855
(dp18856
g6
VLevel[a ^ 2 + 2 * b, {-1}, Heads -> True]
p18857
sg8
(lp18858
(dp18859
g11
(lp18860
sg13
V\u005cleft\u005c{\u005ctext{Plus},\u005ctext{Power},a,2,\u005ctext{Times},2,b\u005cright\u005c}
p18861
sg15
I8
sass(g1696
g17905
g18805
I8
tp18862
(dp18863
g6
VLevel[f[g[h]][x], {-1}, Heads -> True]
p18864
sg8
(lp18865
(dp18866
g11
(lp18867
sg13
V\u005cleft\u005c{f,g,h,x\u005cright\u005c}
p18868
sg15
I9
sass(g1696
g17905
g18805
I9
tp18869
(dp18870
g6
VLevel[f[g[h]][x], {-2, -1}, Heads -> True]
p18871
sg8
(lp18872
(dp18873
g11
(lp18874
sg13
V\u005cleft\u005c{f,g,h,g\u005cleft[h\u005cright],x,f\u005cleft[g\u005cleft[h\u005cright]\u005cright]\u005cleft[x\u005cright]\u005cright\u005c}
p18875
sg15
I10
sass(g1696
g17905
VLevelQ
p18876
I0
tp18877
(dp18878
g6
VLevelQ[2]
p18879
sg8
(lp18880
(dp18881
g11
(lp18882
sg13
V\u005ctext{True}
p18883
sg15
I1
sass(g1696
g17905
g18876
I1
tp18884
(dp18885
g6
VLevelQ[{2, 4}]
p18886
sg8
(lp18887
(dp18888
g11
(lp18889
sg13
V\u005ctext{True}
p18890
sg15
I2
sass(g1696
g17905
g18876
I2
tp18891
(dp18892
g6
VLevelQ[Infinity]
p18893
sg8
(lp18894
(dp18895
g11
(lp18896
sg13
V\u005ctext{True}
p18897
sg15
I3
sass(g1696
g17905
g18876
I3
tp18898
(dp18899
g6
VLevelQ[a + b]
p18900
sg8
(lp18901
(dp18902
g11
(lp18903
sg13
V\u005ctext{False}
p18904
sg15
I4
sass(g1696
g17905
VList
p18905
I0
tp18906
(dp18907
g6
VHead[{1, 2, 3}]
p18908
sg8
(lp18909
(dp18910
g11
(lp18911
sg13
V\u005ctext{List}
p18912
sg15
I1
sass(g1696
g17905
g18905
I1
tp18913
(dp18914
g6
V{{a, b, {c, d}}}
p18915
sg8
(lp18916
(dp18917
g11
(lp18918
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b,\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18919
sg15
I2
sass(g1696
g17905
VListQ
p18920
I0
tp18921
(dp18922
g6
VListQ[{1, 2, 3}]
p18923
sg8
(lp18924
(dp18925
g11
(lp18926
sg13
V\u005ctext{True}
p18927
sg15
I1
sass(g1696
g17905
g18920
I1
tp18928
(dp18929
g6
VListQ[{{1, 2}, {3, 4}}]
p18930
sg8
(lp18931
(dp18932
g11
(lp18933
sg13
V\u005ctext{True}
p18934
sg15
I2
sass(g1696
g17905
g18920
I2
tp18935
(dp18936
g6
VListQ[x]
p18937
sg8
(lp18938
(dp18939
g11
(lp18940
sg13
V\u005ctext{False}
p18941
sg15
I3
sass(g1696
g17905
VMean
p18942
I0
tp18943
(dp18944
g6
VMean[{26, 64, 36}]
p18945
sg8
(lp18946
(dp18947
g11
(lp18948
sg13
V42
p18949
sg15
I1
sass(g1696
g17905
g18942
I1
tp18950
(dp18951
g6
VMean[{1, 1, 2, 3, 5, 8}]
p18952
sg8
(lp18953
(dp18954
g11
(lp18955
sg13
V\u005cfrac{10}{3}
p18956
sg15
I2
sass(g1696
g17905
g18942
I2
tp18957
(dp18958
g6
VMean[{a, b}]
p18959
sg8
(lp18960
(dp18961
g11
(lp18962
sg13
V\u005cfrac{a+b}{2}
p18963
sg15
I3
sass(g1696
g17905
VMedian
p18964
I0
tp18965
(dp18966
g6
VMedian[{26, 64, 36}]
p18967
sg8
(lp18968
(dp18969
g11
(lp18970
sg13
V36
p18971
sg15
I1
sass(g1696
g17905
g18964
I1
tp18972
(dp18973
g6
VMedian[{-11, 38, 501, 1183}]
p18974
sg8
(lp18975
(dp18976
g11
(lp18977
sg13
V\u005cfrac{539}{2}
p18978
sg15
I2
sass(g1696
g17905
g18964
I2
tp18979
(dp18980
g6
VMedian[{{100, 1, 10, 50}, {-1, 1, -2, 2}}]
p18981
sg8
(lp18982
(dp18983
g11
(lp18984
sg13
V\u005cleft\u005c{\u005cfrac{99}{2},1,4,26\u005cright\u005c}
p18985
sg15
I3
sass(g1696
g17905
VMemberQ
p18986
I0
tp18987
(dp18988
g6
VMemberQ[{a, b, c}, b]
p18989
sg8
(lp18990
(dp18991
g11
(lp18992
sg13
V\u005ctext{True}
p18993
sg15
I1
sass(g1696
g17905
g18986
I1
tp18994
(dp18995
g6
VMemberQ[{a, b, c}, d]
p18996
sg8
(lp18997
(dp18998
g11
(lp18999
sg13
V\u005ctext{False}
p19000
sg15
I2
sass(g1696
g17905
g18986
I2
tp19001
(dp19002
g6
VMemberQ[{"a", b, f[x]}, _?NumericQ]
p19003
sg8
(lp19004
(dp19005
g11
(lp19006
sg13
V\u005ctext{False}
p19007
sg15
I3
sass(g1696
g17905
g18986
I3
tp19008
(dp19009
g6
VMemberQ[_List][{{}}]
p19010
sg8
(lp19011
(dp19012
g11
(lp19013
sg13
V\u005ctext{True}
p19014
sg15
I4
sass(g1696
g17905
VMost
p19015
I0
tp19016
(dp19017
g6
VMost[{a, b, c}]
p19018
sg8
(lp19019
(dp19020
g11
(lp19021
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p19022
sg15
I1
sass(g1696
g17905
g19015
I1
tp19023
(dp19024
g6
VMost[a + b + c]
p19025
sg8
(lp19026
(dp19027
g11
(lp19028
sg13
Va+b
p19029
sg15
I2
sass(g1696
g17905
g19015
I2
tp19030
(dp19031
g6
VMost[x]
p19032
sg8
(lp19033
(dp19034
g11
(lp19035
(dp19036
g149
I01
sg150
VMost
p19037
sg152
g10945
sg154
VMost::normal
p19038
sg156
g10947
sasg13
V\u005ctext{Most}\u005cleft[x\u005cright]
p19039
sg15
I3
sass(g1696
g17905
VNearest
p19040
I0
tp19041
(dp19042
g6
VNearest[{5, 2.5, 10, 11, 15, 8.5, 14}, 12]
p19043
sg8
(lp19044
(dp19045
g11
(lp19046
sg13
V\u005cleft\u005c{11\u005cright\u005c}
p19047
sg15
I1
sass(g1696
g17905
g19040
I1
tp19048
(dp19049
g6
VNearest[{5, 2.5, 10, 11, 15, 8.5, 14}, 12, {All, 5}]
p19050
sg8
(lp19051
(dp19052
g11
(lp19053
sg13
V\u005cleft\u005c{11,10,14\u005cright\u005c}
p19054
sg15
I2
sass(g1696
g17905
g19040
I2
tp19055
(dp19056
g6
VNearest[{Blue -> "blue", White -> "white", Red -> "red", Green -> "green"}, {Orange, Gray}]
p19057
sg8
(lp19058
(dp19059
g11
(lp19060
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{red}\u005cright\u005c},\u005cleft\u005c{\u005ctext{white}\u005cright\u005c}\u005cright\u005c}
p19061
sg15
I3
sass(g1696
g17905
g19040
I3
tp19062
(dp19063
g6
VNearest[{{0, 1}, {1, 2}, {2, 3}} -> {a, b, c}, {1.1, 2}]
p19064
sg8
(lp19065
(dp19066
g11
(lp19067
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p19068
sg15
I4
sass(g1696
g17905
VPadLeft
p19069
I0
tp19070
(dp19071
g6
VPadLeft[{1, 2, 3}, 5]
p19072
sg8
(lp19073
(dp19074
g11
(lp19075
sg13
V\u005cleft\u005c{0,0,1,2,3\u005cright\u005c}
p19076
sg15
I1
sass(g1696
g17905
g19069
I1
tp19077
(dp19078
g6
VPadLeft[x[a, b, c], 5]
p19079
sg8
(lp19080
(dp19081
g11
(lp19082
sg13
Vx\u005cleft[0,0,a,b,c\u005cright]
p19083
sg15
I2
sass(g1696
g17905
g19069
I2
tp19084
(dp19085
g6
VPadLeft[{1, 2, 3}, 2]
p19086
sg8
(lp19087
(dp19088
g11
(lp19089
sg13
V\u005cleft\u005c{2,3\u005cright\u005c}
p19090
sg15
I3
sass(g1696
g17905
g19069
I3
tp19091
(dp19092
g6
VPadLeft[{{}, {1, 2}, {1, 2, 3}}]
p19093
sg8
(lp19094
(dp19095
g11
(lp19096
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,0,0\u005cright\u005c},\u005cleft\u005c{0,1,2\u005cright\u005c},\u005cleft\u005c{1,2,3\u005cright\u005c}\u005cright\u005c}
p19097
sg15
I4
sass(g1696
g17905
g19069
I4
tp19098
(dp19099
g6
VPadLeft[{1, 2, 3}, 10, {a, b, c}, 2]
p19100
sg8
(lp19101
(dp19102
g11
(lp19103
sg13
V\u005cleft\u005c{b,c,a,b,c,1,2,3,a,b\u005cright\u005c}
p19104
sg15
I5
sass(g1696
g17905
g19069
I5
tp19105
(dp19106
g6
VPadLeft[{{1, 2, 3}}, {5, 2}, x, 1]
p19107
sg8
(lp19108
(dp19109
g11
(lp19110
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,x\u005cright\u005c},\u005cleft\u005c{x,x\u005cright\u005c},\u005cleft\u005c{x,x\u005cright\u005c},\u005cleft\u005c{3,x\u005cright\u005c},\u005cleft\u005c{x,x\u005cright\u005c}\u005cright\u005c}
p19111
sg15
I6
sass(g1696
g17905
VPadRight
p19112
I0
tp19113
(dp19114
g6
VPadRight[{1, 2, 3}, 5]
p19115
sg8
(lp19116
(dp19117
g11
(lp19118
sg13
V\u005cleft\u005c{1,2,3,0,0\u005cright\u005c}
p19119
sg15
I1
sass(g1696
g17905
g19112
I1
tp19120
(dp19121
g6
VPadRight[x[a, b, c], 5]
p19122
sg8
(lp19123
(dp19124
g11
(lp19125
sg13
Vx\u005cleft[a,b,c,0,0\u005cright]
p19126
sg15
I2
sass(g1696
g17905
g19112
I2
tp19127
(dp19128
g6
VPadRight[{1, 2, 3}, 2]
p19129
sg8
(lp19130
(dp19131
g11
(lp19132
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p19133
sg15
I3
sass(g1696
g17905
g19112
I3
tp19134
(dp19135
g6
VPadRight[{{}, {1, 2}, {1, 2, 3}}]
p19136
sg8
(lp19137
(dp19138
g11
(lp19139
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,0,0\u005cright\u005c},\u005cleft\u005c{1,2,0\u005cright\u005c},\u005cleft\u005c{1,2,3\u005cright\u005c}\u005cright\u005c}
p19140
sg15
I4
sass(g1696
g17905
g19112
I4
tp19141
(dp19142
g6
VPadRight[{1, 2, 3}, 10, {a, b, c}, 2]
p19143
sg8
(lp19144
(dp19145
g11
(lp19146
sg13
V\u005cleft\u005c{b,c,1,2,3,a,b,c,a,b\u005cright\u005c}
p19147
sg15
I5
sass(g1696
g17905
g19112
I5
tp19148
(dp19149
g6
VPadRight[{{1, 2, 3}}, {5, 2}, x, 1]
p19150
sg8
(lp19151
(dp19152
g11
(lp19153
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,x\u005cright\u005c},\u005cleft\u005c{x,1\u005cright\u005c},\u005cleft\u005c{x,x\u005cright\u005c},\u005cleft\u005c{x,x\u005cright\u005c},\u005cleft\u005c{x,x\u005cright\u005c}\u005cright\u005c}
p19154
sg15
I6
sass(g1696
g17905
VPart
p19155
I0
tp19156
(dp19157
g6
VA = {a, b, c, d};
p19158
sg8
(lp19159
(dp19160
g11
(lp19161
sg13
Nsg15
I1
sass(g1696
g17905
g19155
I1
tp19162
(dp19163
g6
VA[[3]]
p19164
sg8
(lp19165
(dp19166
g11
(lp19167
sg13
g444
sg15
I2
sass(g1696
g17905
g19155
I2
tp19168
(dp19169
g6
V{a, b, c}[[-2]]
p19170
sg8
(lp19171
(dp19172
g11
(lp19173
sg13
g261
sg15
I3
sass(g1696
g17905
g19155
I3
tp19174
(dp19175
g6
V(a + b + c)[[2]]
p19176
sg8
(lp19177
(dp19178
g11
(lp19179
sg13
g261
sg15
I4
sass(g1696
g17905
g19155
I4
tp19180
(dp19181
g6
V(a + b + c)[[0]]
p19182
sg8
(lp19183
(dp19184
g11
(lp19185
sg13
V\u005ctext{Plus}
p19186
sg15
I5
sass(g1696
g17905
g19155
I5
tp19187
(dp19188
g6
VM = {{a, b}, {c, d}};
p19189
sg8
(lp19190
(dp19191
g11
(lp19192
sg13
Nsg15
I6
sass(g1696
g17905
g19155
I6
tp19193
(dp19194
g6
VM[[1, 2]]
p19195
sg8
(lp19196
(dp19197
g11
(lp19198
sg13
g261
sg15
I7
sass(g1696
g17905
g19155
I7
tp19199
(dp19200
g6
V{1, 2, 3, 4}[[2;;4]]
p19201
sg8
(lp19202
(dp19203
g11
(lp19204
sg13
V\u005cleft\u005c{2,3,4\u005cright\u005c}
p19205
sg15
I8
sass(g1696
g17905
g19155
I8
tp19206
(dp19207
g6
V{1, 2, 3, 4}[[2;;-1]]
p19208
sg8
(lp19209
(dp19210
g11
(lp19211
sg13
V\u005cleft\u005c{2,3,4\u005cright\u005c}
p19212
sg15
I9
sass(g1696
g17905
g19155
I9
tp19213
(dp19214
g6
V{a, b, c, d}[[{1, 3, 3}]]
p19215
sg8
(lp19216
(dp19217
g11
(lp19218
sg13
V\u005cleft\u005c{a,c,c\u005cright\u005c}
p19219
sg15
I10
sass(g1696
g17905
g19155
I10
tp19220
(dp19221
g6
VB = {{a, b, c}, {d, e, f}, {g, h, i}};
p19222
sg8
(lp19223
(dp19224
g11
(lp19225
sg13
Nsg15
I11
sass(g1696
g17905
g19155
I11
tp19226
(dp19227
g6
VB[[;;, 2]]
p19228
sg8
(lp19229
(dp19230
g11
(lp19231
sg13
V\u005cleft\u005c{b,e,h\u005cright\u005c}
p19232
sg15
I12
sass(g1696
g17905
g19155
I12
tp19233
(dp19234
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p19235
sg8
(lp19236
(dp19237
g11
(lp19238
sg13
Nsg15
I13
sass(g1696
g17905
g19155
I13
tp19239
(dp19240
g6
VB[[{1, 3}, -2;;-1]]
p19241
sg8
(lp19242
(dp19243
g11
(lp19244
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,3\u005cright\u005c},\u005cleft\u005c{8,9\u005cright\u005c}\u005cright\u005c}
p19245
sg15
I14
sass(g1696
g17905
g19155
I14
tp19246
(dp19247
g6
V(a+b+c+d)[[-1;;-2]]
p19248
sg8
(lp19249
(dp19250
g11
(lp19251
sg13
V0
p19252
sg15
I15
sass(g1696
g17905
g19155
I15
tp19253
(dp19254
g6
Vx[[2]]
p19255
sg8
(lp19256
(dp19257
g11
(lp19258
(dp19259
g149
I01
sg150
VPart
p19260
sg152
Vpartd
p19261
sg154
VPart::partd
p19262
sg156
VPart specification is longer than depth of object.
p19263
sasg13
Vx\u005cleft[\u005cleft[2\u005cright]\u005cright]
p19264
sg15
I16
sass(g1696
g17905
g19155
I16
tp19265
(dp19266
g6
VB[[;;, 2]] = {10, 11, 12}
p19267
sg8
(lp19268
(dp19269
g11
(lp19270
sg13
V\u005cleft\u005c{10,11,12\u005cright\u005c}
p19271
sg15
I17
sass(g1696
g17905
g19155
I17
tp19272
(dp19273
g6
g10631
sg8
(lp19274
(dp19275
g11
(lp19276
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,10,3\u005cright\u005c},\u005cleft\u005c{4,11,6\u005cright\u005c},\u005cleft\u005c{7,12,9\u005cright\u005c}\u005cright\u005c}
p19277
sg15
I18
sass(g1696
g17905
g19155
I18
tp19278
(dp19279
g6
VB[[;;, 3]] = 13
p19280
sg8
(lp19281
(dp19282
g11
(lp19283
sg13
V13
p19284
sg15
I19
sass(g1696
g17905
g19155
I19
tp19285
(dp19286
g6
g10631
sg8
(lp19287
(dp19288
g11
(lp19289
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,10,13\u005cright\u005c},\u005cleft\u005c{4,11,13\u005cright\u005c},\u005cleft\u005c{7,12,13\u005cright\u005c}\u005cright\u005c}
p19290
sg15
I20
sass(g1696
g17905
g19155
I20
tp19291
(dp19292
g6
VB[[1;;-2]] = t;
p19293
sg8
(lp19294
(dp19295
g11
(lp19296
sg13
Nsg15
I21
sass(g1696
g17905
g19155
I21
tp19297
(dp19298
g6
g10631
sg8
(lp19299
(dp19300
g11
(lp19301
sg13
V\u005cleft\u005c{t,t,\u005cleft\u005c{7,12,13\u005cright\u005c}\u005cright\u005c}
p19302
sg15
I22
sass(g1696
g17905
g19155
I22
tp19303
(dp19304
g6
VF = Table[i*j*k, {i, 1, 3}, {j, 1, 3}, {k, 1, 3}];
p19305
sg8
(lp19306
(dp19307
g11
(lp19308
sg13
Nsg15
I23
sass(g1696
g17905
g19155
I23
tp19309
(dp19310
g6
VF[[;; All, 2 ;; 3, 2]] = t;
p19311
sg8
(lp19312
(dp19313
g11
(lp19314
sg13
Nsg15
I24
sass(g1696
g17905
g19155
I24
tp19315
(dp19316
g6
VF
p19317
sg8
(lp19318
(dp19319
g11
(lp19320
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{1,2,3\u005cright\u005c},\u005cleft\u005c{2,t,6\u005cright\u005c},\u005cleft\u005c{3,t,9\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2,4,6\u005cright\u005c},\u005cleft\u005c{4,t,12\u005cright\u005c},\u005cleft\u005c{6,t,18\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{3,6,9\u005cright\u005c},\u005cleft\u005c{6,t,18\u005cright\u005c},\u005cleft\u005c{9,t,27\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p19321
sg15
I25
sass(g1696
g17905
g19155
I25
tp19322
(dp19323
g6
VF[[;; All, 1 ;; 2, 3 ;; 3]] = k;
p19324
sg8
(lp19325
(dp19326
g11
(lp19327
sg13
Nsg15
I26
sass(g1696
g17905
g19155
I26
tp19328
(dp19329
g6
g19317
sg8
(lp19330
(dp19331
g11
(lp19332
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{1,2,k\u005cright\u005c},\u005cleft\u005c{2,t,k\u005cright\u005c},\u005cleft\u005c{3,t,9\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2,4,k\u005cright\u005c},\u005cleft\u005c{4,t,k\u005cright\u005c},\u005cleft\u005c{6,t,18\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{3,6,k\u005cright\u005c},\u005cleft\u005c{6,t,k\u005cright\u005c},\u005cleft\u005c{9,t,27\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p19333
sg15
I27
sass(g1696
g17905
g19155
I27
tp19334
(dp19335
g6
VA[[1]] + B[[2]] + C[[3]] // Hold // FullForm
p19336
sg8
(lp19337
(dp19338
g11
(lp19339
sg13
V\u005ctext{Hold}\u005cleft[\u005ctext{Plus}\u005cleft[\u005ctext{Part}\u005cleft[A, 1\u005cright], \u005ctext{Part}\u005cleft[B, 2\u005cright], \u005ctext{Part}\u005cleft[C, 3\u005cright]\u005cright]\u005cright]
p19340
sg15
I28
sass(g1696
g17905
VPartition
p19341
I0
tp19342
(dp19343
g6
VPartition[{a, b, c, d, e, f}, 2]
p19344
sg8
(lp19345
(dp19346
g11
(lp19347
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c},\u005cleft\u005c{e,f\u005cright\u005c}\u005cright\u005c}
p19348
sg15
I1
sass(g1696
g17905
g19341
I1
tp19349
(dp19350
g6
VPartition[{a, b, c, d, e, f}, 3, 1]
p19351
sg8
(lp19352
(dp19353
g11
(lp19354
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b,c\u005cright\u005c},\u005cleft\u005c{b,c,d\u005cright\u005c},\u005cleft\u005c{c,d,e\u005cright\u005c},\u005cleft\u005c{d,e,f\u005cright\u005c}\u005cright\u005c}
p19355
sg15
I2
sass(g1696
g17905
VPermutations
p19356
I0
tp19357
(dp19358
g6
VPermutations[{y, 1, x}]
p19359
sg8
(lp19360
(dp19361
g11
(lp19362
sg13
V\u005cleft\u005c{\u005cleft\u005c{y,1,x\u005cright\u005c},\u005cleft\u005c{y,x,1\u005cright\u005c},\u005cleft\u005c{1,y,x\u005cright\u005c},\u005cleft\u005c{1,x,y\u005cright\u005c},\u005cleft\u005c{x,y,1\u005cright\u005c},\u005cleft\u005c{x,1,y\u005cright\u005c}\u005cright\u005c}
p19363
sg15
I1
sass(g1696
g17905
g19356
I1
tp19364
(dp19365
g6
VPermutations[{a, b, b}]
p19366
sg8
(lp19367
(dp19368
g11
(lp19369
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b,b\u005cright\u005c},\u005cleft\u005c{a,b,b\u005cright\u005c},\u005cleft\u005c{b,a,b\u005cright\u005c},\u005cleft\u005c{b,b,a\u005cright\u005c},\u005cleft\u005c{b,a,b\u005cright\u005c},\u005cleft\u005c{b,b,a\u005cright\u005c}\u005cright\u005c}
p19370
sg15
I2
sass(g1696
g17905
g19356
I2
tp19371
(dp19372
g6
VPermutations[{1, 2, 3}, 2]
p19373
sg8
(lp19374
(dp19375
g11
(lp19376
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c},\u005cleft\u005c{1\u005cright\u005c},\u005cleft\u005c{2\u005cright\u005c},\u005cleft\u005c{3\u005cright\u005c},\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{1,3\u005cright\u005c},\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{2,3\u005cright\u005c},\u005cleft\u005c{3,1\u005cright\u005c},\u005cleft\u005c{3,2\u005cright\u005c}\u005cright\u005c}
p19377
sg15
I3
sass(g1696
g17905
g19356
I3
tp19378
(dp19379
g6
VPermutations[{1, 2, 3}, {2}]
p19380
sg8
(lp19381
(dp19382
g11
(lp19383
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{1,3\u005cright\u005c},\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{2,3\u005cright\u005c},\u005cleft\u005c{3,1\u005cright\u005c},\u005cleft\u005c{3,2\u005cright\u005c}\u005cright\u005c}
p19384
sg15
I4
sass(g1696
g17905
VPick
p19385
I0
tp19386
(dp19387
g6
VPick[{a, b, c}, {False, True, False}]
p19388
sg8
(lp19389
(dp19390
g11
(lp19391
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p19392
sg15
I1
sass(g1696
g17905
g19385
I1
tp19393
(dp19394
g6
VPick[f[g[1, 2], h[3, 4]], {{True, False}, {False, True}}]
p19395
sg8
(lp19396
(dp19397
g11
(lp19398
sg13
Vf\u005cleft[g\u005cleft[1\u005cright],h\u005cleft[4\u005cright]\u005cright]
p19399
sg15
I2
sass(g1696
g17905
g19385
I2
tp19400
(dp19401
g6
VPick[{a, b, c, d, e}, {1, 2, 3.5, 4, 5.5}, _Integer]
p19402
sg8
(lp19403
(dp19404
g11
(lp19405
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p19406
sg15
I3
sass(g1696
g17905
VPosition
p19407
I0
tp19408
(dp19409
g6
VPosition[{1, 2, 2, 1, 2, 3, 2}, 2]
p19410
sg8
(lp19411
(dp19412
g11
(lp19413
sg13
V\u005cleft\u005c{\u005cleft\u005c{2\u005cright\u005c},\u005cleft\u005c{3\u005cright\u005c},\u005cleft\u005c{5\u005cright\u005c},\u005cleft\u005c{7\u005cright\u005c}\u005cright\u005c}
p19414
sg15
I1
sass(g1696
g17905
g19407
I1
tp19415
(dp19416
g6
VPosition[{1 + Sin[x], x, (Tan[x] - y)^2}, x, 3]
p19417
sg8
(lp19418
(dp19419
g11
(lp19420
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,1\u005cright\u005c},\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c}
p19421
sg15
I2
sass(g1696
g17905
g19407
I2
tp19422
(dp19423
g6
VPosition[{1 + x^2, x y ^ 2,  4 y,  x ^ z}, x^_]
p19424
sg8
(lp19425
(dp19426
g11
(lp19427
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{4\u005cright\u005c}\u005cright\u005c}
p19428
sg15
I3
sass(g1696
g17905
g19407
I3
tp19429
(dp19430
g6
VPosition[_Integer][{1.5, 2, 2.5}]
p19431
sg8
(lp19432
(dp19433
g11
(lp19434
sg13
V\u005cleft\u005c{\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c}
p19435
sg15
I4
sass(g1696
g17905
VPrepend
p19436
I0
tp19437
(dp19438
g6
VPrepend[{2, 3, 4}, 1]
p19439
sg8
(lp19440
(dp19441
g11
(lp19442
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p19443
sg15
I1
sass(g1696
g17905
g19436
I1
tp19444
(dp19445
g6
VPrepend[f[b, c], a]
p19446
sg8
(lp19447
(dp19448
g11
(lp19449
sg13
Vf\u005cleft[a,b,c\u005cright]
p19450
sg15
I2
sass(g1696
g17905
g19436
I2
tp19451
(dp19452
g6
VPrepend[{c, d}, {a, b}]
p19453
sg8
(lp19454
(dp19455
g11
(lp19456
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},c,d\u005cright\u005c}
p19457
sg15
I3
sass(g1696
g17905
VPrependTo
p19458
I0
tp19459
(dp19460
g6
Vs = {1, 2, 4, 9}
p19461
sg8
(lp19462
(dp19463
g11
(lp19464
sg13
V\u005cleft\u005c{1,2,4,9\u005cright\u005c}
p19465
sg15
I1
sass(g1696
g17905
g19458
I1
tp19466
(dp19467
g6
VPrependTo[s, 0]
p19468
sg8
(lp19469
(dp19470
g11
(lp19471
sg13
V\u005cleft\u005c{0,1,2,4,9\u005cright\u005c}
p19472
sg15
I2
sass(g1696
g17905
g19458
I2
tp19473
(dp19474
g6
g9693
sg8
(lp19475
(dp19476
g11
(lp19477
sg13
V\u005cleft\u005c{0,1,2,4,9\u005cright\u005c}
p19478
sg15
I3
sass(g1696
g17905
g19458
I3
tp19479
(dp19480
g6
Vy = f[a, b, c];
p19481
sg8
(lp19482
(dp19483
g11
(lp19484
sg13
Nsg15
I4
sass(g1696
g17905
g19458
I4
tp19485
(dp19486
g6
VPrependTo[y, x]
p19487
sg8
(lp19488
(dp19489
g11
(lp19490
sg13
Vf\u005cleft[x,a,b,c\u005cright]
p19491
sg15
I5
sass(g1696
g17905
g19458
I5
tp19492
(dp19493
g6
g2055
sg8
(lp19494
(dp19495
g11
(lp19496
sg13
Vf\u005cleft[x,a,b,c\u005cright]
p19497
sg15
I6
sass(g1696
g17905
VQuantile
p19498
I0
tp19499
(dp19500
g6
VQuantile[Range[11], 1/3]
p19501
sg8
(lp19502
(dp19503
g11
(lp19504
sg13
V4
p19505
sg15
I1
sass(g1696
g17905
g19498
I1
tp19506
(dp19507
g6
VQuantile[Range[16], 1/4]
p19508
sg8
(lp19509
(dp19510
g11
(lp19511
sg13
V5
p19512
sg15
I2
sass(g1696
g17905
VQuartiles
p19513
I0
tp19514
(dp19515
g6
VQuartiles[Range[25]]
p19516
sg8
(lp19517
(dp19518
g11
(lp19519
sg13
V\u005cleft\u005c{\u005cfrac{27}{4},13,\u005cfrac{77}{4}\u005cright\u005c}
p19520
sg15
I1
sass(g1696
g17905
VRange
p19521
I0
tp19522
(dp19523
g6
VRange[5]
p19524
sg8
(lp19525
(dp19526
g11
(lp19527
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p19528
sg15
I1
sass(g1696
g17905
g19521
I1
tp19529
(dp19530
g6
VRange[-3, 2]
p19531
sg8
(lp19532
(dp19533
g11
(lp19534
sg13
V\u005cleft\u005c{-3,-2,-1,0,1,2\u005cright\u005c}
p19535
sg15
I2
sass(g1696
g17905
g19521
I2
tp19536
(dp19537
g6
VRange[0, 2, 1/3]
p19538
sg8
(lp19539
(dp19540
g11
(lp19541
sg13
V\u005cleft\u005c{0,\u005cfrac{1}{3},\u005cfrac{2}{3},1,\u005cfrac{4}{3},\u005cfrac{5}{3},2\u005cright\u005c}
p19542
sg15
I3
sass(g1696
g17905
VRankedMax
p19543
I0
tp19544
(dp19545
g6
VRankedMax[{482, 17, 181, -12}, 2]
p19546
sg8
(lp19547
(dp19548
g11
(lp19549
sg13
V181
p19550
sg15
I1
sass(g1696
g17905
VRankedMin
p19551
I0
tp19552
(dp19553
g6
VRankedMin[{482, 17, 181, -12}, 2]
p19554
sg8
(lp19555
(dp19556
g11
(lp19557
sg13
V17
p19558
sg15
I1
sass(g1696
g17905
VReap
p19559
I0
tp19560
(dp19561
g6
VReap[Sow[3]; Sow[1]]
p19562
sg8
(lp19563
(dp19564
g11
(lp19565
sg13
V\u005cleft\u005c{1,\u005cleft\u005c{\u005cleft\u005c{3,1\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p19566
sg15
I1
sass(g1696
g17905
g19559
I1
tp19567
(dp19568
g6
VReap[Sow[2, {x, x, x}]; Sow[3, x]; Sow[4, y]; Sow[4, 1], {_Symbol, _Integer, x}, f]
p19569
sg8
(lp19570
(dp19571
g11
(lp19572
sg13
V\u005cleft\u005c{4,\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[x,\u005cleft\u005c{2,2,2,3\u005cright\u005c}\u005cright],f\u005cleft[y,\u005cleft\u005c{4\u005cright\u005c}\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[1,\u005cleft\u005c{4\u005cright\u005c}\u005cright]\u005cright\u005c},\u005cleft\u005c{f\u005cleft[x,\u005cleft\u005c{2,2,2,3\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p19573
sg15
I2
sass(g1696
g17905
g19559
I2
tp19574
(dp19575
g6
VReap[Sow[Null, {a, a, b, d, c, a}], _, # &][[2]]
p19576
sg8
(lp19577
(dp19578
g11
(lp19579
sg13
V\u005cleft\u005c{a,b,d,c\u005cright\u005c}
p19580
sg15
I3
sass(g1696
g17905
g19559
I3
tp19581
(dp19582
g6
VReap[Reap[Sow[a, x]; Sow[b, 1], _Symbol, Print["Inner: ", #1]&];, _, f]
p19583
sg8
(lp19584
(dp19585
g11
(lp19586
(dp19587
g149
I00
sg156
VInner: x
p19588
sasg13
V\u005cleft\u005c{\u005ctext{Null},\u005cleft\u005c{f\u005cleft[1,\u005cleft\u005c{b\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright\u005c}
p19589
sg15
I4
sass(g1696
g17905
g19559
I4
tp19590
(dp19591
g6
VReap[x]
p19592
sg8
(lp19593
(dp19594
g11
(lp19595
sg13
V\u005cleft\u005c{x,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p19596
sg15
I5
sass(g1696
g17905
VReplacePart
p19597
I0
tp19598
(dp19599
g6
VReplacePart[{a, b, c}, 1 -> t]
p19600
sg8
(lp19601
(dp19602
g11
(lp19603
sg13
V\u005cleft\u005c{t,b,c\u005cright\u005c}
p19604
sg15
I1
sass(g1696
g17905
g19597
I1
tp19605
(dp19606
g6
VReplacePart[{{a, b}, {c, d}}, {2, 1} -> t]
p19607
sg8
(lp19608
(dp19609
g11
(lp19610
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{t,d\u005cright\u005c}\u005cright\u005c}
p19611
sg15
I2
sass(g1696
g17905
g19597
I2
tp19612
(dp19613
g6
VReplacePart[{{a, b}, {c, d}}, {{2, 1} -> t, {1, 1} -> t}]
p19614
sg8
(lp19615
(dp19616
g11
(lp19617
sg13
V\u005cleft\u005c{\u005cleft\u005c{t,b\u005cright\u005c},\u005cleft\u005c{t,d\u005cright\u005c}\u005cright\u005c}
p19618
sg15
I3
sass(g1696
g17905
g19597
I3
tp19619
(dp19620
g6
VReplacePart[{a, b, c}, {{1}, {2}} -> t]
p19621
sg8
(lp19622
(dp19623
g11
(lp19624
sg13
V\u005cleft\u005c{t,t,c\u005cright\u005c}
p19625
sg15
I4
sass(g1696
g17905
g19597
I4
tp19626
(dp19627
g6
Vn = 1;
p19628
sg8
(lp19629
(dp19630
g11
(lp19631
sg13
Nsg15
I5
sass(g1696
g17905
g19597
I5
tp19632
(dp19633
g6
VReplacePart[{a, b, c, d}, {{1}, {3}} :> n++]
p19634
sg8
(lp19635
(dp19636
g11
(lp19637
sg13
V\u005cleft\u005c{1,b,2,d\u005cright\u005c}
p19638
sg15
I6
sass(g1696
g17905
g19597
I6
tp19639
(dp19640
g6
VReplacePart[{a, b, c}, 4 -> t]
p19641
sg8
(lp19642
(dp19643
g11
(lp19644
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p19645
sg15
I7
sass(g1696
g17905
g19597
I7
tp19646
(dp19647
g6
VReplacePart[{a, b, c}, 0 -> Times]
p19648
sg8
(lp19649
(dp19650
g11
(lp19651
sg13
Va b c
p19652
sg15
I8
sass(g1696
g17905
g19597
I8
tp19653
(dp19654
g6
VReplacePart[{a, b, c}, -1 -> t]
p19655
sg8
(lp19656
(dp19657
g11
(lp19658
sg13
V\u005cleft\u005c{a,b,t\u005cright\u005c}
p19659
sg15
I9
sass(g1696
g17905
VRest
p19660
I0
tp19661
(dp19662
g6
VRest[{a, b, c}]
p19663
sg8
(lp19664
(dp19665
g11
(lp19666
sg13
V\u005cleft\u005c{b,c\u005cright\u005c}
p19667
sg15
I1
sass(g1696
g17905
g19660
I1
tp19668
(dp19669
g6
VRest[a + b + c]
p19670
sg8
(lp19671
(dp19672
g11
(lp19673
sg13
Vb+c
p19674
sg15
I2
sass(g1696
g17905
g19660
I2
tp19675
(dp19676
g6
VRest[x]
p19677
sg8
(lp19678
(dp19679
g11
(lp19680
(dp19681
g149
I01
sg150
VRest
p19682
sg152
g10945
sg154
VRest::normal
p19683
sg156
g10947
sasg13
V\u005ctext{Rest}\u005cleft[x\u005cright]
p19684
sg15
I3
sass(g1696
g17905
VReverse
p19685
I0
tp19686
(dp19687
g6
VReverse[{1, 2, 3}]
p19688
sg8
(lp19689
(dp19690
g11
(lp19691
sg13
V\u005cleft\u005c{3,2,1\u005cright\u005c}
p19692
sg15
I1
sass(g1696
g17905
g19685
I1
tp19693
(dp19694
g6
VReverse[x[a, b, c]]
p19695
sg8
(lp19696
(dp19697
g11
(lp19698
sg13
Vx\u005cleft[c,b,a\u005cright]
p19699
sg15
I2
sass(g1696
g17905
g19685
I2
tp19700
(dp19701
g6
VReverse[{{1, 2}, {3, 4}}, 1]
p19702
sg8
(lp19703
(dp19704
g11
(lp19705
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,4\u005cright\u005c},\u005cleft\u005c{1,2\u005cright\u005c}\u005cright\u005c}
p19706
sg15
I3
sass(g1696
g17905
g19685
I3
tp19707
(dp19708
g6
VReverse[{{1, 2}, {3, 4}}, 2]
p19709
sg8
(lp19710
(dp19711
g11
(lp19712
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{4,3\u005cright\u005c}\u005cright\u005c}
p19713
sg15
I4
sass(g1696
g17905
g19685
I4
tp19714
(dp19715
g6
VReverse[{{1, 2}, {3, 4}}, {1, 2}]
p19716
sg8
(lp19717
(dp19718
g11
(lp19719
sg13
V\u005cleft\u005c{\u005cleft\u005c{4,3\u005cright\u005c},\u005cleft\u005c{2,1\u005cright\u005c}\u005cright\u005c}
p19720
sg15
I5
sass(g1696
g17905
VRiffle
p19721
I0
tp19722
(dp19723
g6
VRiffle[{a, b, c}, x]
p19724
sg8
(lp19725
(dp19726
g11
(lp19727
sg13
V\u005cleft\u005c{a,x,b,x,c\u005cright\u005c}
p19728
sg15
I1
sass(g1696
g17905
g19721
I1
tp19729
(dp19730
g6
VRiffle[{a, b, c}, {x, y, z}]
p19731
sg8
(lp19732
(dp19733
g11
(lp19734
sg13
V\u005cleft\u005c{a,x,b,y,c,z\u005cright\u005c}
p19735
sg15
I2
sass(g1696
g17905
g19721
I2
tp19736
(dp19737
g6
VRiffle[{a, b, c, d, e, f}, {x, y, z}]
p19738
sg8
(lp19739
(dp19740
g11
(lp19741
sg13
V\u005cleft\u005c{a,x,b,y,c,z,d,x,e,y,f\u005cright\u005c}
p19742
sg15
I3
sass(g1696
g17905
VRotateLeft
p19743
I0
tp19744
(dp19745
g6
VRotateLeft[{1, 2, 3}]
p19746
sg8
(lp19747
(dp19748
g11
(lp19749
sg13
V\u005cleft\u005c{2,3,1\u005cright\u005c}
p19750
sg15
I1
sass(g1696
g17905
g19743
I1
tp19751
(dp19752
g6
VRotateLeft[Range[10], 3]
p19753
sg8
(lp19754
(dp19755
g11
(lp19756
sg13
V\u005cleft\u005c{4,5,6,7,8,9,10,1,2,3\u005cright\u005c}
p19757
sg15
I2
sass(g1696
g17905
g19743
I2
tp19758
(dp19759
g6
VRotateLeft[x[a, b, c], 2]
p19760
sg8
(lp19761
(dp19762
g11
(lp19763
sg13
Vx\u005cleft[c,a,b\u005cright]
p19764
sg15
I3
sass(g1696
g17905
g19743
I3
tp19765
(dp19766
g6
VRotateLeft[{{a, b, c}, {d, e, f}, {g, h, i}}, {1, 2}]
p19767
sg8
(lp19768
(dp19769
g11
(lp19770
sg13
V\u005cleft\u005c{\u005cleft\u005c{f,d,e\u005cright\u005c},\u005cleft\u005c{i,g,h\u005cright\u005c},\u005cleft\u005c{c,a,b\u005cright\u005c}\u005cright\u005c}
p19771
sg15
I4
sass(g1696
g17905
VRotateRight
p19772
I0
tp19773
(dp19774
g6
VRotateRight[{1, 2, 3}]
p19775
sg8
(lp19776
(dp19777
g11
(lp19778
sg13
V\u005cleft\u005c{3,1,2\u005cright\u005c}
p19779
sg15
I1
sass(g1696
g17905
g19772
I1
tp19780
(dp19781
g6
VRotateRight[Range[10], 3]
p19782
sg8
(lp19783
(dp19784
g11
(lp19785
sg13
V\u005cleft\u005c{8,9,10,1,2,3,4,5,6,7\u005cright\u005c}
p19786
sg15
I2
sass(g1696
g17905
g19772
I2
tp19787
(dp19788
g6
VRotateRight[x[a, b, c], 2]
p19789
sg8
(lp19790
(dp19791
g11
(lp19792
sg13
Vx\u005cleft[b,c,a\u005cright]
p19793
sg15
I3
sass(g1696
g17905
g19772
I3
tp19794
(dp19795
g6
VRotateRight[{{a, b, c}, {d, e, f}, {g, h, i}}, {1, 2}]
p19796
sg8
(lp19797
(dp19798
g11
(lp19799
sg13
V\u005cleft\u005c{\u005cleft\u005c{h,i,g\u005cright\u005c},\u005cleft\u005c{b,c,a\u005cright\u005c},\u005cleft\u005c{e,f,d\u005cright\u005c}\u005cright\u005c}
p19800
sg15
I4
sass(g1696
g17905
VSelect
p19801
I0
tp19802
(dp19803
g6
VSelect[{-3, 0, 1, 3, a}, #>0&]
p19804
sg8
(lp19805
(dp19806
g11
(lp19807
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p19808
sg15
I1
sass(g1696
g17905
g19801
I1
tp19809
(dp19810
g6
VSelect[f[a, 2, 3], NumberQ]
p19811
sg8
(lp19812
(dp19813
g11
(lp19814
sg13
Vf\u005cleft[2,3\u005cright]
p19815
sg15
I2
sass(g1696
g17905
g19801
I2
tp19816
(dp19817
g6
VSelect[a, True]
p19818
sg8
(lp19819
(dp19820
g11
(lp19821
(dp19822
g149
I01
sg150
VSelect
p19823
sg152
g10945
sg154
VSelect::normal
p19824
sg156
g10947
sasg13
V\u005ctext{Select}\u005cleft[a,\u005ctext{True}\u005cright]
p19825
sg15
I3
sass(g1696
g17905
VSkewness
p19826
I0
tp19827
(dp19828
g6
VSkewness[{1.1, 1.2, 1.4, 2.1, 2.4}]
p19829
sg8
(lp19830
(dp19831
g11
(lp19832
sg13
V0.407041
p19833
sg15
I1
sass(g1696
g17905
VSpan
p19834
I0
tp19835
(dp19836
g6
V;; // FullForm
p19837
sg8
(lp19838
(dp19839
g11
(lp19840
sg13
V\u005ctext{Span}\u005cleft[1, \u005ctext{All}\u005cright]
p19841
sg15
I1
sass(g1696
g17905
g19834
I1
tp19842
(dp19843
g6
V1;;4;;2 // FullForm
p19844
sg8
(lp19845
(dp19846
g11
(lp19847
sg13
V\u005ctext{Span}\u005cleft[1, 4, 2\u005cright]
p19848
sg15
I2
sass(g1696
g17905
g19834
I2
tp19849
(dp19850
g6
V2;;-2 // FullForm
p19851
sg8
(lp19852
(dp19853
g11
(lp19854
sg13
V\u005ctext{Span}\u005cleft[2, -2\u005cright]
p19855
sg15
I3
sass(g1696
g17905
g19834
I3
tp19856
(dp19857
g6
V;;3 // FullForm
p19858
sg8
(lp19859
(dp19860
g11
(lp19861
sg13
V\u005ctext{Span}\u005cleft[1, 3\u005cright]
p19862
sg15
I4
sass(g1696
g17905
VSplit
p19863
I0
tp19864
(dp19865
g6
VSplit[{x, x, x, y, x, y, y, z}]
p19866
sg8
(lp19867
(dp19868
g11
(lp19869
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,x,x\u005cright\u005c},\u005cleft\u005c{y\u005cright\u005c},\u005cleft\u005c{x\u005cright\u005c},\u005cleft\u005c{y,y\u005cright\u005c},\u005cleft\u005c{z\u005cright\u005c}\u005cright\u005c}
p19870
sg15
I1
sass(g1696
g17905
g19863
I2
tp19871
(dp19872
g6
VSplit[{1, 5, 6, 3, 6, 1, 6, 3, 4, 5, 4}, Less]
p19873
sg8
(lp19874
(dp19875
g11
(lp19876
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,5,6\u005cright\u005c},\u005cleft\u005c{3,6\u005cright\u005c},\u005cleft\u005c{1,6\u005cright\u005c},\u005cleft\u005c{3,4,5\u005cright\u005c},\u005cleft\u005c{4\u005cright\u005c}\u005cright\u005c}
p19877
sg15
I2
sass(g1696
g17905
g19863
I3
tp19878
(dp19879
g6
VSplit[{1, 5, 6, 3, 6, 1, 6, 3, 4, 5, 4}, Greater]
p19880
sg8
(lp19881
(dp19882
g11
(lp19883
sg13
V\u005cleft\u005c{\u005cleft\u005c{1\u005cright\u005c},\u005cleft\u005c{5\u005cright\u005c},\u005cleft\u005c{6,3\u005cright\u005c},\u005cleft\u005c{6,1\u005cright\u005c},\u005cleft\u005c{6,3\u005cright\u005c},\u005cleft\u005c{4\u005cright\u005c},\u005cleft\u005c{5,4\u005cright\u005c}\u005cright\u005c}
p19884
sg15
I3
sass(g1696
g17905
g19863
I4
tp19885
(dp19886
g6
VSplit[{x -> a, x -> y, 2 -> a, z -> c, z -> a}, First[#1] === First[#2] &]
p19887
sg8
(lp19888
(dp19889
g11
(lp19890
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->a,x->y\u005cright\u005c},\u005cleft\u005c{2->a\u005cright\u005c},\u005cleft\u005c{z->c,z->a\u005cright\u005c}\u005cright\u005c}
p19891
sg15
I4
sass(g1696
g17905
VSplitBy
p19892
I0
tp19893
(dp19894
g6
VSplitBy[Range[1, 3, 1/3], Round]
p19895
sg8
(lp19896
(dp19897
g11
(lp19898
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,\u005cfrac{4}{3}\u005cright\u005c},\u005cleft\u005c{\u005cfrac{5}{3},2,\u005cfrac{7}{3}\u005cright\u005c},\u005cleft\u005c{\u005cfrac{8}{3},3\u005cright\u005c}\u005cright\u005c}
p19899
sg15
I1
sass(g1696
g17905
g19892
I1
tp19900
(dp19901
g6
VSplitBy[{1, 2, 1, 1.2}, {Round, Identity}]
p19902
sg8
(lp19903
(dp19904
g11
(lp19905
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{1\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{1\u005cright\u005c},\u005cleft\u005c{1.2\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p19906
sg15
I2
sass(g1696
g17905
VStandardDeviation
p19907
I0
tp19908
(dp19909
g6
VStandardDeviation[{1, 2, 3}]
p19910
sg8
(lp19911
(dp19912
g11
(lp19913
sg13
V1
p19914
sg15
I1
sass(g1696
g17905
g19907
I1
tp19915
(dp19916
g6
VStandardDeviation[{7, -5, 101, 100}]
p19917
sg8
(lp19918
(dp19919
g11
(lp19920
sg13
V\u005cfrac{\u005csqrt{13297}}{2}
p19921
sg15
I2
sass(g1696
g17905
g19907
I2
tp19922
(dp19923
g6
VStandardDeviation[{a, a}]
p19924
sg8
(lp19925
(dp19926
g11
(lp19927
sg13
V0
p19928
sg15
I3
sass(g1696
g17905
g19907
I3
tp19929
(dp19930
g6
VStandardDeviation[{{1, 10}, {-1, 20}}]
p19931
sg8
(lp19932
(dp19933
g11
(lp19934
sg13
V\u005cleft\u005c{\u005csqrt{2},5 \u005csqrt{2}\u005cright\u005c}
p19935
sg15
I4
sass(g1696
g17905
VSubsetQ
p19936
I0
tp19937
(dp19938
g6
VSubsetQ[{1, 2, 3}, {3, 1}]
p19939
sg8
(lp19940
(dp19941
g11
(lp19942
sg13
V\u005ctext{True}
p19943
sg15
I1
sass(g1696
g17905
g19936
I1
tp19944
(dp19945
g6
VSubsetQ[{}, {}]
p19946
sg8
(lp19947
(dp19948
g11
(lp19949
sg13
V\u005ctext{True}
p19950
sg15
I2
sass(g1696
g17905
g19936
I2
tp19951
(dp19952
g6
VSubsetQ[{1, 2, 3}, {}]
p19953
sg8
(lp19954
(dp19955
g11
(lp19956
sg13
V\u005ctext{True}
p19957
sg15
I3
sass(g1696
g17905
g19936
I3
tp19958
(dp19959
g6
VSubsetQ[{1, 2, 3}, {1, 2, 3}]
p19960
sg8
(lp19961
(dp19962
g11
(lp19963
sg13
V\u005ctext{True}
p19964
sg15
I4
sass(g1696
g17905
VTable
p19965
I0
tp19966
(dp19967
g6
VTable[x, {4}]
p19968
sg8
(lp19969
(dp19970
g11
(lp19971
sg13
V\u005cleft\u005c{x,x,x,x\u005cright\u005c}
p19972
sg15
I1
sass(g1696
g17905
g19965
I1
tp19973
(dp19974
g6
Vn = 0;
p19975
sg8
(lp19976
(dp19977
g11
(lp19978
sg13
Nsg15
I2
sass(g1696
g17905
g19965
I2
tp19979
(dp19980
g6
VTable[n = n + 1, {5}]
p19981
sg8
(lp19982
(dp19983
g11
(lp19984
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p19985
sg15
I3
sass(g1696
g17905
g19965
I3
tp19986
(dp19987
g6
VTable[i, {i, 4}]
p19988
sg8
(lp19989
(dp19990
g11
(lp19991
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p19992
sg15
I4
sass(g1696
g17905
g19965
I4
tp19993
(dp19994
g6
VTable[i, {i, 2, 5}]
p19995
sg8
(lp19996
(dp19997
g11
(lp19998
sg13
V\u005cleft\u005c{2,3,4,5\u005cright\u005c}
p19999
sg15
I5
sass(g1696
g17905
g19965
I5
tp20000
(dp20001
g6
VTable[i, {i, 2, 6, 2}]
p20002
sg8
(lp20003
(dp20004
g11
(lp20005
sg13
V\u005cleft\u005c{2,4,6\u005cright\u005c}
p20006
sg15
I6
sass(g1696
g17905
g19965
I6
tp20007
(dp20008
g6
VTable[i, {i, Pi, 2 Pi, Pi / 2}]
p20009
sg8
(lp20010
(dp20011
g11
(lp20012
sg13
V\u005cleft\u005c{\u005ctext{Pi},\u005cfrac{3 \u005ctext{Pi}}{2},2 \u005ctext{Pi}\u005cright\u005c}
p20013
sg15
I7
sass(g1696
g17905
g19965
I7
tp20014
(dp20015
g6
VTable[x^2, {x, {a, b, c}}]
p20016
sg8
(lp20017
(dp20018
g11
(lp20019
sg13
V\u005cleft\u005c{a^2,b^2,c^2\u005cright\u005c}
p20020
sg15
I8
sass(g1696
g17905
g19965
I8
tp20021
(dp20022
g6
VTable[{i, j}, {i, {a, b}}, {j, 1, 2}]
p20023
sg8
(lp20024
(dp20025
g11
(lp20026
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a,1\u005cright\u005c},\u005cleft\u005c{a,2\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{b,1\u005cright\u005c},\u005cleft\u005c{b,2\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p20027
sg15
I9
sass(g1696
g17905
VTake
p20028
I0
tp20029
(dp20030
g6
VTake[{a, b, c, d}, 3]
p20031
sg8
(lp20032
(dp20033
g11
(lp20034
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p20035
sg15
I1
sass(g1696
g17905
g20028
I1
tp20036
(dp20037
g6
VTake[{a, b, c, d}, -2]
p20038
sg8
(lp20039
(dp20040
g11
(lp20041
sg13
V\u005cleft\u005c{c,d\u005cright\u005c}
p20042
sg15
I2
sass(g1696
g17905
g20028
I2
tp20043
(dp20044
g6
VTake[{a, b, c, d, e}, {2, -2}]
p20045
sg8
(lp20046
(dp20047
g11
(lp20048
sg13
V\u005cleft\u005c{b,c,d\u005cright\u005c}
p20049
sg15
I3
sass(g1696
g17905
g20028
I3
tp20050
(dp20051
g6
VA = {{a, b, c}, {d, e, f}};
p20052
sg8
(lp20053
(dp20054
g11
(lp20055
sg13
Nsg15
I4
sass(g1696
g17905
g20028
I4
tp20056
(dp20057
g6
VTake[A, 2, 2]
p20058
sg8
(lp20059
(dp20060
g11
(lp20061
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{d,e\u005cright\u005c}\u005cright\u005c}
p20062
sg15
I5
sass(g1696
g17905
g20028
I5
tp20063
(dp20064
g6
VTake[A, All, {2}]
p20065
sg8
(lp20066
(dp20067
g11
(lp20068
sg13
V\u005cleft\u005c{\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{e\u005cright\u005c}\u005cright\u005c}
p20069
sg15
I6
sass(g1696
g17905
VTakeLargest
p20070
I0
tp20071
(dp20072
g6
VTakeLargest[{100, -1, 50, 10}, 2]
p20073
sg8
(lp20074
(dp20075
g11
(lp20076
sg13
V\u005cleft\u005c{100,50\u005cright\u005c}
p20077
sg15
I1
sass(g1696
g17905
g20070
I1
tp20078
(dp20079
g6
VTakeLargest[{-8, 150, Missing[abc]}, 2]
p20080
sg8
(lp20081
(dp20082
g11
(lp20083
sg13
V\u005cleft\u005c{150,-8\u005cright\u005c}
p20084
sg15
I2
sass(g1696
g17905
g20070
I2
tp20085
(dp20086
g6
VTakeLargest[{-8, 150, Missing[abc]}, 2, ExcludedForms -> {}]
p20087
sg8
(lp20088
(dp20089
g11
(lp20090
sg13
V\u005cleft\u005c{\u005ctext{Missing}\u005cleft[\u005ctext{abc}\u005cright],150\u005cright\u005c}
p20091
sg15
I3
sass(g1696
g17905
VTakeLargestBy
p20092
I0
tp20093
(dp20094
g6
VTakeLargestBy[{{1, -1}, {10, 100}, {23, 7, 8}, {5, 1}}, Total, 2]
p20095
sg8
(lp20096
(dp20097
g11
(lp20098
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,100\u005cright\u005c},\u005cleft\u005c{23,7,8\u005cright\u005c}\u005cright\u005c}
p20099
sg15
I1
sass(g1696
g17905
g20092
I1
tp20100
(dp20101
g6
VTakeLargestBy[{"abc", "ab", "x"}, StringLength, 1]
p20102
sg8
(lp20103
(dp20104
g11
(lp20105
sg13
V\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}
p20106
sg15
I2
sass(g1696
g17905
VTakeSmallest
p20107
I0
tp20108
(dp20109
g6
VTakeSmallest[{100, -1, 50, 10}, 2]
p20110
sg8
(lp20111
(dp20112
g11
(lp20113
sg13
V\u005cleft\u005c{-1,10\u005cright\u005c}
p20114
sg15
I1
sass(g1696
g17905
VTakeSmallestBy
p20115
I0
tp20116
(dp20117
g6
VTakeSmallestBy[{{1, -1}, {10, 100}, {23, 7, 8}, {5, 1}}, Total, 2]
p20118
sg8
(lp20119
(dp20120
g11
(lp20121
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p20122
sg15
I1
sass(g1696
g17905
g20115
I1
tp20123
(dp20124
g6
VTakeSmallestBy[{"abc", "ab", "x"}, StringLength, 1]
p20125
sg8
(lp20126
(dp20127
g11
(lp20128
sg13
V\u005cleft\u005c{\u005ctext{x}\u005cright\u005c}
p20129
sg15
I2
sass(g1696
g17905
VTally
p20130
I0
tp20131
(dp20132
g6
VTally[{a, b, c, b, a}]
p20133
sg8
(lp20134
(dp20135
g11
(lp20136
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,2\u005cright\u005c},\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{c,1\u005cright\u005c}\u005cright\u005c}
p20137
sg15
I1
sass(g1696
g17905
g20130
I1
tp20138
(dp20139
g6
VTally[{b, b, a, a, a, d, d, d, d, c}]
p20140
sg8
(lp20141
(dp20142
g11
(lp20143
sg13
V\u005cleft\u005c{\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{a,3\u005cright\u005c},\u005cleft\u005c{d,4\u005cright\u005c},\u005cleft\u005c{c,1\u005cright\u005c}\u005cright\u005c}
p20144
sg15
I2
sass(g1696
g17905
VTotal
p20145
I0
tp20146
(dp20147
g6
VTotal[{1, 2, 3}]
p20148
sg8
(lp20149
(dp20150
g11
(lp20151
sg13
V6
p20152
sg15
I1
sass(g1696
g17905
g20145
I1
tp20153
(dp20154
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}]
p20155
sg8
(lp20156
(dp20157
g11
(lp20158
sg13
V\u005cleft\u005c{12,15,18\u005cright\u005c}
p20159
sg15
I2
sass(g1696
g17905
g20145
I2
tp20160
(dp20161
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}, 2]
p20162
sg8
(lp20163
(dp20164
g11
(lp20165
sg13
V45
p20166
sg15
I3
sass(g1696
g17905
g20145
I3
tp20167
(dp20168
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}, {2}]
p20169
sg8
(lp20170
(dp20171
g11
(lp20172
sg13
V\u005cleft\u005c{6,15,24\u005cright\u005c}
p20173
sg15
I4
sass(g1696
g17905
VTuples
p20174
I0
tp20175
(dp20176
g6
VTuples[{a, b, c}, 2]
p20177
sg8
(lp20178
(dp20179
g11
(lp20180
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,a\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{b,a\u005cright\u005c},\u005cleft\u005c{b,b\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{c,a\u005cright\u005c},\u005cleft\u005c{c,b\u005cright\u005c},\u005cleft\u005c{c,c\u005cright\u005c}\u005cright\u005c}
p20181
sg15
I1
sass(g1696
g17905
g20174
I1
tp20182
(dp20183
g6
VTuples[{}, 2]
p20184
sg8
(lp20185
(dp20186
g11
(lp20187
sg13
V\u005cleft\u005c{\u005cright\u005c}
p20188
sg15
I2
sass(g1696
g17905
g20174
I2
tp20189
(dp20190
g6
VTuples[{a, b, c}, 0]
p20191
sg8
(lp20192
(dp20193
g11
(lp20194
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p20195
sg15
I3
sass(g1696
g17905
g20174
I3
tp20196
(dp20197
g6
VTuples[{{a, b}, {1, 2, 3}}]
p20198
sg8
(lp20199
(dp20200
g11
(lp20201
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,1\u005cright\u005c},\u005cleft\u005c{a,2\u005cright\u005c},\u005cleft\u005c{a,3\u005cright\u005c},\u005cleft\u005c{b,1\u005cright\u005c},\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{b,3\u005cright\u005c}\u005cright\u005c}
p20202
sg15
I4
sass(g1696
g17905
g20174
I4
tp20203
(dp20204
g6
VTuples[f[a, b, c], 2]
p20205
sg8
(lp20206
(dp20207
g11
(lp20208
sg13
V\u005cleft\u005c{f\u005cleft[a,a\u005cright],f\u005cleft[a,b\u005cright],f\u005cleft[a,c\u005cright],f\u005cleft[b,a\u005cright],f\u005cleft[b,b\u005cright],f\u005cleft[b,c\u005cright],f\u005cleft[c,a\u005cright],f\u005cleft[c,b\u005cright],f\u005cleft[c,c\u005cright]\u005cright\u005c}
p20209
sg15
I5
sass(g1696
g17905
g20174
I5
tp20210
(dp20211
g6
VTuples[{f[a, b], g[c, d]}]
p20212
sg8
(lp20213
(dp20214
g11
(lp20215
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{a,d\u005cright\u005c},\u005cleft\u005c{b,c\u005cright\u005c},\u005cleft\u005c{b,d\u005cright\u005c}\u005cright\u005c}
p20216
sg15
I6
sass(g1696
g17905
VUnion
p20217
I0
tp20218
(dp20219
g6
VUnion[{5, 1, 3, 7, 1, 8, 3}]
p20220
sg8
(lp20221
(dp20222
g11
(lp20223
sg13
V\u005cleft\u005c{1,3,5,7,8\u005cright\u005c}
p20224
sg15
I1
sass(g1696
g17905
g20217
I1
tp20225
(dp20226
g6
VUnion[{a, b, c}, {c, d, e}]
p20227
sg8
(lp20228
(dp20229
g11
(lp20230
sg13
V\u005cleft\u005c{a,b,c,d,e\u005cright\u005c}
p20231
sg15
I2
sass(g1696
g17905
g20217
I2
tp20232
(dp20233
g6
VUnion[{c, b, a}]
p20234
sg8
(lp20235
(dp20236
g11
(lp20237
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p20238
sg15
I3
sass(g1696
g17905
g20217
I3
tp20239
(dp20240
g6
VUnion[{{a, 1}, {b, 2}}, {{c, 1}, {d, 3}}, SameTest->(SameQ[Last[#1],Last[#2]]&)]
p20241
sg8
(lp20242
(dp20243
g11
(lp20244
sg13
V\u005cleft\u005c{\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{c,1\u005cright\u005c},\u005cleft\u005c{d,3\u005cright\u005c}\u005cright\u005c}
p20245
sg15
I4
sass(g1696
g17905
g20217
I4
tp20246
(dp20247
g6
VUnion[{1, 2, 3}, {2, 3, 4}, SameTest->Less]
p20248
sg8
(lp20249
(dp20250
g11
(lp20251
sg13
V\u005cleft\u005c{1,2,2,3,4\u005cright\u005c}
p20252
sg15
I5
sass(g1696
g17905
VUnitVector
p20253
I0
tp20254
(dp20255
g6
VUnitVector[2]
p20256
sg8
(lp20257
(dp20258
g11
(lp20259
sg13
V\u005cleft\u005c{0,1\u005cright\u005c}
p20260
sg15
I1
sass(g1696
g17905
g20253
I1
tp20261
(dp20262
g6
VUnitVector[4, 3]
p20263
sg8
(lp20264
(dp20265
g11
(lp20266
sg13
V\u005cleft\u005c{0,0,1,0\u005cright\u005c}
p20267
sg15
I2
sass(g1696
g17905
VValues
p20268
I0
tp20269
(dp20270
g6
VValues[<|a -> x, b -> y|>]
p20271
sg8
(lp20272
(dp20273
g11
(lp20274
sg13
V\u005cleft\u005c{x,y\u005cright\u005c}
p20275
sg15
I1
sass(g1696
g17905
g20268
I1
tp20276
(dp20277
g6
VValues[{a -> x, b -> y}]
p20278
sg8
(lp20279
(dp20280
g11
(lp20281
sg13
V\u005cleft\u005c{x,y\u005cright\u005c}
p20282
sg15
I2
sass(g1696
g17905
g20268
I2
tp20283
(dp20284
g6
VValues[{<|a -> x, b -> y|>, {c -> z, {}}}]
p20285
sg8
(lp20286
(dp20287
g11
(lp20288
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c},\u005cleft\u005c{z,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p20289
sg15
I3
sass(g1696
g17905
g20268
I3
tp20290
(dp20291
g6
VValues[{c -> z, b -> y, a -> x}]
p20292
sg8
(lp20293
(dp20294
g11
(lp20295
sg13
V\u005cleft\u005c{z,y,x\u005cright\u005c}
p20296
sg15
I4
sass(g1696
g17905
VVariance
p20297
I0
tp20298
(dp20299
g6
VVariance[{1, 2, 3}]
p20300
sg8
(lp20301
(dp20302
g11
(lp20303
sg13
V1
p20304
sg15
I1
sass(g1696
g17905
g20297
I1
tp20305
(dp20306
g6
VVariance[{7, -5, 101, 3}]
p20307
sg8
(lp20308
(dp20309
g11
(lp20310
sg13
V\u005cfrac{7475}{3}
p20311
sg15
I2
sass(g1696
g17905
g20297
I2
tp20312
(dp20313
g6
VVariance[{1 + 2I, 3 - 10I}]
p20314
sg8
(lp20315
(dp20316
g11
(lp20317
sg13
V74
p20318
sg15
I3
sass(g1696
g17905
g20297
I3
tp20319
(dp20320
g6
VVariance[{a, a}]
p20321
sg8
(lp20322
(dp20323
g11
(lp20324
sg13
V0
p20325
sg15
I4
sass(g1696
g17905
g20297
I4
tp20326
(dp20327
g6
VVariance[{{1, 3, 5}, {4, 10, 100}}]
p20328
sg8
(lp20329
(dp20330
g11
(lp20331
sg13
V\u005cleft\u005c{\u005cfrac{9}{2},\u005cfrac{49}{2},\u005cfrac{9025}{2}\u005cright\u005c}
p20332
sg15
I5
sass(g1696
VMathematical Constants
p20333
VCatalan
p20334
I0
tp20335
(dp20336
g6
VCatalan // N
p20337
sg8
(lp20338
(dp20339
g11
(lp20340
sg13
V0.915966
p20341
sg15
I1
sass(g1696
g20333
g20334
I1
tp20342
(dp20343
g6
VN[Catalan, 20]
p20344
sg8
(lp20345
(dp20346
g11
(lp20347
sg13
V0.91596559417721901505
p20348
sg15
I2
sass(g1696
g20333
VComplexInfinity
p20349
I0
tp20350
(dp20351
g6
V1 / ComplexInfinity
p20352
sg8
(lp20353
(dp20354
g11
(lp20355
sg13
V0
p20356
sg15
I1
sass(g1696
g20333
g20349
I1
tp20357
(dp20358
g6
VComplexInfinity * Infinity
p20359
sg8
(lp20360
(dp20361
g11
(lp20362
sg13
V\u005ctext{ComplexInfinity}
p20363
sg15
I2
sass(g1696
g20333
g20349
I2
tp20364
(dp20365
g6
VFullForm[ComplexInfinity]
p20366
sg8
(lp20367
(dp20368
g11
(lp20369
sg13
V\u005ctext{DirectedInfinity}\u005cleft[\u005cright]
p20370
sg15
I3
sass(g1696
g20333
VDegree
p20371
I0
tp20372
(dp20373
g6
VCos[60 Degree]
p20374
sg8
(lp20375
(dp20376
g11
(lp20377
sg13
V\u005cfrac{1}{2}
p20378
sg15
I1
sass(g1696
g20333
g20371
I1
tp20379
(dp20380
g6
VDegree == Pi / 180
p20381
sg8
(lp20382
(dp20383
g11
(lp20384
sg13
V\u005ctext{True}
p20385
sg15
I2
sass(g1696
g20333
g12342
I0
tp20386
(dp20387
g6
VN[E]
p20388
sg8
(lp20389
(dp20390
g11
(lp20391
sg13
V2.71828
p20392
sg15
I1
sass(g1696
g20333
g12342
I1
tp20393
(dp20394
g6
VN[E, 50]
p20395
sg8
(lp20396
(dp20397
g11
(lp20398
sg13
V2.7182818284590452353602874713526624977572470937000
p20399
sg15
I2
sass(g1696
g20333
VEulerGamma
p20400
I0
tp20401
(dp20402
g6
VEulerGamma // N
p20403
sg8
(lp20404
(dp20405
g11
(lp20406
sg13
V0.577216
p20407
sg15
I1
sass(g1696
g20333
g20400
I1
tp20408
(dp20409
g6
VN[EulerGamma, 40]
p20410
sg8
(lp20411
(dp20412
g11
(lp20413
sg13
V0.5772156649015328606065120900824024310422
p20414
sg15
I2
sass(g1696
g20333
VGlaisher
p20415
I0
tp20416
(dp20417
g6
VN[Glaisher]
p20418
sg8
(lp20419
(dp20420
g11
(lp20421
sg13
V1.28243
p20422
sg15
I1
sass(g1696
g20333
g20415
I1
tp20423
(dp20424
g6
VN[Glaisher, 50]
p20425
sg8
(lp20426
(dp20427
g11
(lp20428
sg13
V1.2824271291006219541941391071304678916931152343750
p20429
sg15
I2
sass(g1696
g20333
VGoldenRatio
p20430
I0
tp20431
(dp20432
g6
VGoldenRatio // N
p20433
sg8
(lp20434
(dp20435
g11
(lp20436
sg13
V1.61803
p20437
sg15
I1
sass(g1696
g20333
g20430
I1
tp20438
(dp20439
g6
VN[GoldenRatio, 40]
p20440
sg8
(lp20441
(dp20442
g11
(lp20443
sg13
V1.618033988749894848204586834365638117720
p20444
sg15
I2
sass(g1696
g20333
VIndeterminate
p20445
I0
tp20446
(dp20447
g6
V0^0
p20448
sg8
(lp20449
(dp20450
g11
(lp20451
(dp20452
g149
I01
sg150
VPower
p20453
sg152
g174
sg154
VPower::indet
p20454
sg156
VIndeterminate expression 0 ^ 0 encountered.
p20455
sasg13
V\u005ctext{Indeterminate}
p20456
sg15
I1
sass(g1696
g20333
g20445
I1
tp20457
(dp20458
g6
VTan[Indeterminate]
p20459
sg8
(lp20460
(dp20461
g11
(lp20462
sg13
V\u005ctext{Indeterminate}
p20463
sg15
I2
sass(g1696
g20333
VInfinity
p20464
I0
tp20465
(dp20466
g6
V1 / Infinity
p20467
sg8
(lp20468
(dp20469
g11
(lp20470
sg13
V0
p20471
sg15
I1
sass(g1696
g20333
g20464
I1
tp20472
(dp20473
g6
VInfinity + 100
p20474
sg8
(lp20475
(dp20476
g11
(lp20477
sg13
g165
sg15
I2
sass(g1696
g20333
g20464
I2
tp20478
(dp20479
g6
VSum[1/x^2, {x, 1, Infinity}]
p20480
sg8
(lp20481
(dp20482
g11
(lp20483
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p20484
sg15
I3
sass(g1696
g20333
VKhinchin
p20485
I0
tp20486
(dp20487
g6
VN[Khinchin]
p20488
sg8
(lp20489
(dp20490
g11
(lp20491
sg13
V2.68545
p20492
sg15
I1
sass(g1696
g20333
g20485
I1
tp20493
(dp20494
g6
VN[Khinchin, 50]
p20495
sg8
(lp20496
(dp20497
g11
(lp20498
sg13
V2.6854520010653075701156922150403261184692382812500
p20499
sg15
I2
sass(g1696
g20333
VPi
p20500
I0
tp20501
(dp20502
g6
VN[Pi]
p20503
sg8
(lp20504
(dp20505
g11
(lp20506
sg13
V3.14159
p20507
sg15
I1
sass(g1696
g20333
g20500
I1
tp20508
(dp20509
g6
VN[Pi, 50]
p20510
sg8
(lp20511
(dp20512
g11
(lp20513
sg13
V3.1415926535897932384626433832795028841971693993751
p20514
sg15
I2
sass(g1696
g20333
g20500
I2
tp20515
(dp20516
g6
VAttributes[Pi]
p20517
sg8
(lp20518
(dp20519
g11
(lp20520
sg13
V\u005cleft\u005c{\u005ctext{Constant},\u005ctext{Protected},\u005ctext{ReadProtected}\u005cright\u005c}
p20521
sg15
I3
sass(g1696
VAlgebraic Manipulation
p20522
VApart
p20523
I0
tp20524
(dp20525
g6
VApart[1 / (x^2 + 5x + 6)]
p20526
sg8
(lp20527
(dp20528
g11
(lp20529
sg13
V\u005cfrac{1}{2+x}-\u005cfrac{1}{3+x}
p20530
sg15
I1
sass(g1696
g20522
g20523
I1
tp20531
(dp20532
g6
VApart[1 / (x^2 - y^2), x]
p20533
sg8
(lp20534
(dp20535
g11
(lp20536
sg13
V-\u005cfrac{1}{2 y \u005cleft(x+y\u005cright)}+\u005cfrac{1}{2 y \u005cleft(x-y\u005cright)}
p20537
sg15
I2
sass(g1696
g20522
g20523
I2
tp20538
(dp20539
g6
VApart[1 / (x^2 - y^2), y]
p20540
sg8
(lp20541
(dp20542
g11
(lp20543
sg13
V\u005cfrac{1}{2 x \u005cleft(x+y\u005cright)}+\u005cfrac{1}{2 x \u005cleft(x-y\u005cright)}
p20544
sg15
I3
sass(g1696
g20522
g20523
I3
tp20545
(dp20546
g6
VApart[{1 / (x^2 + 5x + 6)}]
p20547
sg8
(lp20548
(dp20549
g11
(lp20550
sg13
V\u005cleft\u005c{\u005cfrac{1}{2+x}-\u005cfrac{1}{3+x}\u005cright\u005c}
p20551
sg15
I4
sass(g1696
g20522
g20523
I4
tp20552
(dp20553
g6
VSin[1 / (x ^ 2 - y ^ 2)] // Apart
p20554
sg8
(lp20555
(dp20556
g11
(lp20557
sg13
V\u005ctext{Sin}\u005cleft[\u005cfrac{1}{x^2-y^2}\u005cright]
p20558
sg15
I5
sass(g1696
g20522
VCancel
p20559
I0
tp20560
(dp20561
g6
VCancel[x / x ^ 2]
p20562
sg8
(lp20563
(dp20564
g11
(lp20565
sg13
V\u005cfrac{1}{x}
p20566
sg15
I1
sass(g1696
g20522
g20559
I1
tp20567
(dp20568
g6
VCancel[x / x ^ 2 + y / y ^ 2]
p20569
sg8
(lp20570
(dp20571
g11
(lp20572
sg13
V\u005cfrac{1}{x}+\u005cfrac{1}{y}
p20573
sg15
I2
sass(g1696
g20522
g20559
I2
tp20574
(dp20575
g6
VCancel[f[x] / x + x * f[x] / x ^ 2]
p20576
sg8
(lp20577
(dp20578
g11
(lp20579
sg13
V\u005cfrac{2 f\u005cleft[x\u005cright]}{x}
p20580
sg15
I3
sass(g1696
g20522
VCoefficient
p20581
I0
tp20582
(dp20583
g6
VCoefficient[(x + y)^4, (x^2) * (y^2)]
p20584
sg8
(lp20585
(dp20586
g11
(lp20587
sg13
V6
p20588
sg15
I1
sass(g1696
g20522
g20581
I1
tp20589
(dp20590
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, x]
p20591
sg8
(lp20592
(dp20593
g11
(lp20594
sg13
g444
sg15
I2
sass(g1696
g20522
g20581
I2
tp20595
(dp20596
g6
VCoefficient[(x + 3 y)^5, x]
p20597
sg8
(lp20598
(dp20599
g11
(lp20600
sg13
V405 y^4
p20601
sg15
I3
sass(g1696
g20522
g20581
I3
tp20602
(dp20603
g6
VCoefficient[(x + 3 y)^5, x * y^4]
p20604
sg8
(lp20605
(dp20606
g11
(lp20607
sg13
V405
p20608
sg15
I4
sass(g1696
g20522
g20581
I4
tp20609
(dp20610
g6
VCoefficient[(x + 2)/(y - 3) + (x + 3)/(y - 2), x]
p20611
sg8
(lp20612
(dp20613
g11
(lp20614
sg13
V\u005cfrac{1}{-3+y}+\u005cfrac{1}{-2+y}
p20615
sg15
I5
sass(g1696
g20522
g20581
I12
tp20616
(dp20617
g6
VCoefficient[x*Cos[x + 3] + 6*y, x]
p20618
sg8
(lp20619
(dp20620
g11
(lp20621
sg13
V\u005ctext{Cos}\u005cleft[3+x\u005cright]
p20622
sg15
I6
sass(g1696
g20522
g20581
I13
tp20623
(dp20624
g6
VCoefficient[(x + 1)^3, x, 2]
p20625
sg8
(lp20626
(dp20627
g11
(lp20628
sg13
V3
p20629
sg15
I7
sass(g1696
g20522
g20581
I14
tp20630
(dp20631
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, y, 3]
p20632
sg8
(lp20633
(dp20634
g11
(lp20635
sg13
g261
sg15
I8
sass(g1696
g20522
g20581
I15
tp20636
(dp20637
g6
VCoefficient[(x + 2)^3 + (x + 3)^2, x, 0]
p20638
sg8
(lp20639
(dp20640
g11
(lp20641
sg13
V17
p20642
sg15
I9
sass(g1696
g20522
g20581
I16
tp20643
(dp20644
g6
VCoefficient[(x + 2)^3 + (x + 3)^2, y, 0]
p20645
sg8
(lp20646
(dp20647
g11
(lp20648
sg13
V\u005cleft(2+x\u005cright)^3+\u005cleft(3+x\u005cright)^2
p20649
sg15
I10
sass(g1696
g20522
g20581
I17
tp20650
(dp20651
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, x, 0]
p20652
sg8
(lp20653
(dp20654
g11
(lp20655
sg13
V5+b y^3+d y
p20656
sg15
I11
sass(g1696
g20522
VCoefficientList
p20657
I0
tp20658
(dp20659
g6
VCoefficientList[(x + 3)^5, x]
p20660
sg8
(lp20661
(dp20662
g11
(lp20663
sg13
V\u005cleft\u005c{243,405,270,90,15,1\u005cright\u005c}
p20664
sg15
I1
sass(g1696
g20522
g20657
I1
tp20665
(dp20666
g6
VCoefficientList[(x + y)^4, x]
p20667
sg8
(lp20668
(dp20669
g11
(lp20670
sg13
V\u005cleft\u005c{y^4,4 y^3,6 y^2,4 y,1\u005cright\u005c}
p20671
sg15
I2
sass(g1696
g20522
g20657
I2
tp20672
(dp20673
g6
VCoefficientList[a x^2 + b y^3 + c x + d y + 5, x]
p20674
sg8
(lp20675
(dp20676
g11
(lp20677
sg13
V\u005cleft\u005c{5+b y^3+d y,c,a\u005cright\u005c}
p20678
sg15
I3
sass(g1696
g20522
g20657
I3
tp20679
(dp20680
g6
VCoefficientList[(x + 2)/(y - 3) + x/(y - 2), x]
p20681
sg8
(lp20682
(dp20683
g11
(lp20684
sg13
V\u005cleft\u005c{\u005cfrac{2}{-3+y},\u005cfrac{1}{-3+y}+\u005cfrac{1}{-2+y}\u005cright\u005c}
p20685
sg15
I4
sass(g1696
g20522
g20657
I4
tp20686
(dp20687
g6
VCoefficientList[(x + y)^3, z]
p20688
sg8
(lp20689
(dp20690
g11
(lp20691
sg13
V\u005cleft\u005c{\u005cleft(x+y\u005cright)^3\u005cright\u005c}
p20692
sg15
I5
sass(g1696
g20522
g20657
I12
tp20693
(dp20694
g6
VCoefficientList[a x^2 + b y^3 + c x + d y + 5, {x, y}]
p20695
sg8
(lp20696
(dp20697
g11
(lp20698
sg13
V\u005cleft\u005c{\u005cleft\u005c{5,d,0,b\u005cright\u005c},\u005cleft\u005c{c,0,0,0\u005cright\u005c},\u005cleft\u005c{a,0,0,0\u005cright\u005c}\u005cright\u005c}
p20699
sg15
I6
sass(g1696
g20522
g20657
I18
tp20700
(dp20701
g6
VCoefficientList[(x - 2 y + 3 z)^3, {x, y, z}]
p20702
sg8
(lp20703
(dp20704
g11
(lp20705
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{0,0,0,27\u005cright\u005c},\u005cleft\u005c{0,0,-54,0\u005cright\u005c},\u005cleft\u005c{0,36,0,0\u005cright\u005c},\u005cleft\u005c{-8,0,0,0\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{0,0,27,0\u005cright\u005c},\u005cleft\u005c{0,-36,0,0\u005cright\u005c},\u005cleft\u005c{12,0,0,0\u005cright\u005c},\u005cleft\u005c{0,0,0,0\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{0,9,0,0\u005cright\u005c},\u005cleft\u005c{-6,0,0,0\u005cright\u005c},\u005cleft\u005c{0,0,0,0\u005cright\u005c},\u005cleft\u005c{0,0,0,0\u005cright\u005c}\u005cright\u005c},\u005cleft\u005c{\u005cleft\u005c{1,0,0,0\u005cright\u005c},\u005cleft\u005c{0,0,0,0\u005cright\u005c},\u005cleft\u005c{0,0,0,0\u005cright\u005c},\u005cleft\u005c{0,0,0,0\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p20706
sg15
I7
sass(g1696
g20522
VDenominator
p20707
I0
tp20708
(dp20709
g6
VDenominator[a / b]
p20710
sg8
(lp20711
(dp20712
g11
(lp20713
sg13
g261
sg15
I1
sass(g1696
g20522
g20707
I1
tp20714
(dp20715
g6
VDenominator[2 / 3]
p20716
sg8
(lp20717
(dp20718
g11
(lp20719
sg13
V3
p20720
sg15
I2
sass(g1696
g20522
g20707
I2
tp20721
(dp20722
g6
VDenominator[a + b]
p20723
sg8
(lp20724
(dp20725
g11
(lp20726
sg13
V1
p20727
sg15
I3
sass(g1696
g20522
VExpand
p20728
I0
tp20729
(dp20730
g6
VExpand[(x + y) ^ 3]
p20731
sg8
(lp20732
(dp20733
g11
(lp20734
sg13
Vx^3+3 x^2 y+3 x y^2+y^3
p20735
sg15
I1
sass(g1696
g20522
g20728
I1
tp20736
(dp20737
g6
VExpand[(a + b) (a + c + d)]
p20738
sg8
(lp20739
(dp20740
g11
(lp20741
sg13
Va^2+a b+a c+a d+b c+b d
p20742
sg15
I2
sass(g1696
g20522
g20728
I2
tp20743
(dp20744
g6
VExpand[(a + b) (a + c + d) (e + f) + e a a]
p20745
sg8
(lp20746
(dp20747
g11
(lp20748
sg13
V2 a^2 e+a^2 f+a b e+a b f+a c e+a c f+a d e+a d f+b c e+b c f+b d e+b d f
p20749
sg15
I3
sass(g1696
g20522
g20728
I3
tp20750
(dp20751
g6
VExpand[(a + b) ^ 2 * (c + d)]
p20752
sg8
(lp20753
(dp20754
g11
(lp20755
sg13
Va^2 c+a^2 d+2 a b c+2 a b d+b^2 c+b^2 d
p20756
sg15
I4
sass(g1696
g20522
g20728
I4
tp20757
(dp20758
g6
VExpand[(x + y) ^ 2 + x y]
p20759
sg8
(lp20760
(dp20761
g11
(lp20762
sg13
Vx^2+3 x y+y^2
p20763
sg15
I5
sass(g1696
g20522
g20728
I5
tp20764
(dp20765
g6
VExpand[((a + b) (c + d)) ^ 2 + b (1 + a)]
p20766
sg8
(lp20767
(dp20768
g11
(lp20769
sg13
Va^2 c^2+2 a^2 c d+a^2 d^2+b+a b+2 a b c^2+4 a b c d+2 a b d^2+b^2 c^2+2 b^2 c d+b^2 d^2
p20770
sg15
I6
sass(g1696
g20522
g20728
I6
tp20771
(dp20772
g6
VExpand[{4 (x + y), 2 (x + y) -> 4 (x + y)}]
p20773
sg8
(lp20774
(dp20775
g11
(lp20776
sg13
V\u005cleft\u005c{4 x+4 y,2 x+2 y->4 x+4 y\u005cright\u005c}
p20777
sg15
I7
sass(g1696
g20522
g20728
I7
tp20778
(dp20779
g6
VExpand[Sin[x + y], Trig -> True]
p20780
sg8
(lp20781
(dp20782
g11
(lp20783
sg13
V\u005ctext{Cos}\u005cleft[x\u005cright] \u005ctext{Sin}\u005cleft[y\u005cright]+\u005ctext{Cos}\u005cleft[y\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright]
p20784
sg15
I8
sass(g1696
g20522
g20728
I8
tp20785
(dp20786
g6
VExpand[Sin[x (1 + y)]]
p20787
sg8
(lp20788
(dp20789
g11
(lp20790
sg13
V\u005ctext{Sin}\u005cleft[x \u005cleft(1+y\u005cright)\u005cright]
p20791
sg15
I9
sass(g1696
g20522
g20728
I9
tp20792
(dp20793
g6
VExpand[(1 + a)^12, Modulus -> 3]
p20794
sg8
(lp20795
(dp20796
g11
(lp20797
sg13
V1+a^3+a^9+a^{12}
p20798
sg15
I10
sass(g1696
g20522
g20728
I10
tp20799
(dp20800
g6
VExpand[(1 + a)^12, Modulus -> 4]
p20801
sg8
(lp20802
(dp20803
g11
(lp20804
sg13
V1+2 a^2+3 a^4+3 a^8+2 a^{10}+a^{12}
p20805
sg15
I11
sass(g1696
g20522
VExpandAll
p20806
I0
tp20807
(dp20808
g6
VExpandAll[(a + b) ^ 2 / (c + d)^2]
p20809
sg8
(lp20810
(dp20811
g11
(lp20812
sg13
V\u005cfrac{a^2}{c^2+2 c d+d^2}+\u005cfrac{2 a b}{c^2+2 c d+d^2}+\u005cfrac{b^2}{c^2+2 c d+d^2}
p20813
sg15
I1
sass(g1696
g20522
g20806
I1
tp20814
(dp20815
g6
VExpandAll[(a + Sin[x (1 + y)])^2]
p20816
sg8
(lp20817
(dp20818
g11
(lp20819
sg13
V2 a \u005ctext{Sin}\u005cleft[x+x y\u005cright]+a^2+\u005ctext{Sin}\u005cleft[x+x y\u005cright]^2
p20820
sg15
I2
sass(g1696
g20522
g20806
I2
tp20821
(dp20822
g6
VExpandAll[((1 + x)(1 + y))[x]]
p20823
sg8
(lp20824
(dp20825
g11
(lp20826
sg13
V\u005cleft(1+x+y+x y\u005cright)\u005cleft[x\u005cright]
p20827
sg15
I3
sass(g1696
g20522
g20806
I3
tp20828
(dp20829
g6
VExpandAll[(1 + a) ^ 6 / (x + y)^3, Modulus -> 3]
p20830
sg8
(lp20831
(dp20832
g11
(lp20833
sg13
V\u005cfrac{1+2 a^3+a^6}{x^3+y^3}
p20834
sg15
I4
sass(g1696
g20522
VExpandDenominator
p20835
I0
tp20836
(dp20837
g6
VExpandDenominator[(a + b) ^ 2 / ((c + d)^2 (e + f))]
p20838
sg8
(lp20839
(dp20840
g11
(lp20841
sg13
V\u005cfrac{\u005cleft(a+b\u005cright)^2}{c^2 e+c^2 f+2 c d e+2 c d f+d^2 e+d^2 f}
p20842
sg15
I1
sass(g1696
g20522
VExponent
p20843
I0
tp20844
(dp20845
g6
VExponent[5 x^2 - 3 x + 7, x]
p20846
sg8
(lp20847
(dp20848
g11
(lp20849
sg13
V2
p20850
sg15
I1
sass(g1696
g20522
g20843
I2
tp20851
(dp20852
g6
VExponent[(x^3 + 1)^2 + 1, x]
p20853
sg8
(lp20854
(dp20855
g11
(lp20856
sg13
V6
p20857
sg15
I2
sass(g1696
g20522
g20843
I5
tp20858
(dp20859
g6
VExponent[x^(n + 1) + Sqrt[x] + 1, x]
p20860
sg8
(lp20861
(dp20862
g11
(lp20863
sg13
V\u005ctext{Max}\u005cleft[\u005cfrac{1}{2},1+n\u005cright]
p20864
sg15
I3
sass(g1696
g20522
g20843
I9
tp20865
(dp20866
g6
VExponent[x / y, y]
p20867
sg8
(lp20868
(dp20869
g11
(lp20870
sg13
V-1
p20871
sg15
I4
sass(g1696
g20522
g20843
I10
tp20872
(dp20873
g6
VExponent[(x^2 + 1)^3 - 1, x, Min]
p20874
sg8
(lp20875
(dp20876
g11
(lp20877
sg13
V2
p20878
sg15
I5
sass(g1696
g20522
g20843
I12
tp20879
(dp20880
g6
VExponent[1 - 2 x^2 + a x^3, x, List]
p20881
sg8
(lp20882
(dp20883
g11
(lp20884
sg13
V\u005cleft\u005c{0,2,3\u005cright\u005c}
p20885
sg15
I6
sass(g1696
g20522
g20843
I23
tp20886
(dp20887
g6
VExponent[0, x]
p20888
sg8
(lp20889
(dp20890
g11
(lp20891
sg13
V-\u005cinfty 
p20892
sg15
I7
sass(g1696
g20522
g20843
I24
tp20893
(dp20894
g6
VExponent[1, x]
p20895
sg8
(lp20896
(dp20897
g11
(lp20898
sg13
V0
p20899
sg15
I8
sass(g1696
g20522
VFactor
p20900
I0
tp20901
(dp20902
g6
VFactor[x ^ 2 + 2 x + 1]
p20903
sg8
(lp20904
(dp20905
g11
(lp20906
sg13
V\u005cleft(1+x\u005cright)^2
p20907
sg15
I1
sass(g1696
g20522
g20900
I1
tp20908
(dp20909
g6
VFactor[1 / (x^2+2x+1) + 1 / (x^4+2x^2+1)]
p20910
sg8
(lp20911
(dp20912
g11
(lp20913
sg13
V\u005cfrac{2+2 x+3 x^2+x^4}{\u005cleft(1+x\u005cright)^2 {\u005cleft(1+x^2\u005cright)}^2}
p20914
sg15
I2
sass(g1696
g20522
VFactorTermsList
p20915
I0
tp20916
(dp20917
g6
VFactorTermsList[2 x^2 - 2]
p20918
sg8
(lp20919
(dp20920
g11
(lp20921
sg13
V\u005cleft\u005c{2,-1+x^2\u005cright\u005c}
p20922
sg15
I1
sass(g1696
g20522
g20915
I1
tp20923
(dp20924
g6
VFactorTermsList[x^2 - 2 x + 1]
p20925
sg8
(lp20926
(dp20927
g11
(lp20928
sg13
V\u005cleft\u005c{1,1-2 x+x^2\u005cright\u005c}
p20929
sg15
I2
sass(g1696
g20522
g20915
I3
tp20930
(dp20931
g6
Vf = 3 (-1 + 2 x) (-1 + y) (1 - a)
p20932
sg8
(lp20933
(dp20934
g11
(lp20935
sg13
V3 \u005cleft(-1+2 x\u005cright) \u005cleft(-1+y\u005cright) \u005cleft(1-a\u005cright)
p20936
sg15
I3
sass(g1696
g20522
g20915
I4
tp20937
(dp20938
g6
VFactorTermsList[f]
p20939
sg8
(lp20940
(dp20941
g11
(lp20942
sg13
V\u005cleft\u005c{-3,-1+a-2 a x-a y+2 x+y-2 x y+2 a x y\u005cright\u005c}
p20943
sg15
I4
sass(g1696
g20522
g20915
I5
tp20944
(dp20945
g6
VFactorTermsList[f, x]
p20946
sg8
(lp20947
(dp20948
g11
(lp20949
sg13
V\u005cleft\u005c{-3,1-a-y+a y,-1+2 x\u005cright\u005c}
p20950
sg15
I5
sass(g1696
g20522
g20915
I7
tp20951
(dp20952
g6
VFactorTermsList[f, {x, y}]
p20953
sg8
(lp20954
(dp20955
g11
(lp20956
sg13
V\u005cleft\u005c{-3,-1+a,-1+y,-1+2 x\u005cright\u005c}
p20957
sg15
I6
sass(g1696
g20522
VMinimalPolynomial
p20958
I0
tp20959
(dp20960
g6
VMinimalPolynomial[7, x]
p20961
sg8
(lp20962
(dp20963
g11
(lp20964
sg13
V-7+x
p20965
sg15
I1
sass(g1696
g20522
g20958
I1
tp20966
(dp20967
g6
VMinimalPolynomial[Sqrt[2] + Sqrt[3], x]
p20968
sg8
(lp20969
(dp20970
g11
(lp20971
sg13
V1-10 x^2+x^4
p20972
sg15
I2
sass(g1696
g20522
g20958
I2
tp20973
(dp20974
g6
VMinimalPolynomial[Sqrt[1 + Sqrt[3]], x]
p20975
sg8
(lp20976
(dp20977
g11
(lp20978
sg13
V-2-2 x^2+x^4
p20979
sg15
I3
sass(g1696
g20522
g20958
I3
tp20980
(dp20981
g6
VMinimalPolynomial[Sqrt[I + Sqrt[6]], x]
p20982
sg8
(lp20983
(dp20984
g11
(lp20985
sg13
V49-10 x^4+x^8
p20986
sg15
I4
sass(g1696
g20522
VNumerator
p20987
I0
tp20988
(dp20989
g6
VNumerator[a / b]
p20990
sg8
(lp20991
(dp20992
g11
(lp20993
sg13
g542
sg15
I1
sass(g1696
g20522
g20987
I1
tp20994
(dp20995
g6
VNumerator[2 / 3]
p20996
sg8
(lp20997
(dp20998
g11
(lp20999
sg13
V2
p21000
sg15
I2
sass(g1696
g20522
g20987
I2
tp21001
(dp21002
g6
VNumerator[a + b]
p21003
sg8
(lp21004
(dp21005
g11
(lp21006
sg13
Va+b
p21007
sg15
I3
sass(g1696
g20522
VPolynomialQ
p21008
I0
tp21009
(dp21010
g6
VPolynomialQ[x^3 - 2 x/y + 3xz, x]
p21011
sg8
(lp21012
(dp21013
g11
(lp21014
sg13
V\u005ctext{True}
p21015
sg15
I1
sass(g1696
g20522
g21008
I1
tp21016
(dp21017
g6
VPolynomialQ[x^3 - 2 x/y + 3xz, y]
p21018
sg8
(lp21019
(dp21020
g11
(lp21021
sg13
V\u005ctext{False}
p21022
sg15
I2
sass(g1696
g20522
g21008
I2
tp21023
(dp21024
g6
VPolynomialQ[f[a] + f[a]^2, f[a]]
p21025
sg8
(lp21026
(dp21027
g11
(lp21028
sg13
V\u005ctext{True}
p21029
sg15
I3
sass(g1696
g20522
g21008
I3
tp21030
(dp21031
g6
VPolynomialQ[x^2 + axy^2 - bSin[c], {x, y}]
p21032
sg8
(lp21033
(dp21034
g11
(lp21035
sg13
V\u005ctext{True}
p21036
sg15
I4
sass(g1696
g20522
g21008
I4
tp21037
(dp21038
g6
VPolynomialQ[x^2 + axy^2 - bSin[c], {a, b, c}]
p21039
sg8
(lp21040
(dp21041
g11
(lp21042
sg13
V\u005ctext{False}
p21043
sg15
I5
sass(g1696
g20522
VPowerExpand
p21044
I0
tp21045
(dp21046
g6
VPowerExpand[(a ^ b) ^ c]
p21047
sg8
(lp21048
(dp21049
g11
(lp21050
sg13
Va^{b c}
p21051
sg15
I1
sass(g1696
g20522
g21044
I1
tp21052
(dp21053
g6
VPowerExpand[(a * b) ^ c]
p21054
sg8
(lp21055
(dp21056
g11
(lp21057
sg13
Va^c b^c
p21058
sg15
I2
sass(g1696
g20522
g21044
I2
tp21059
(dp21060
g6
VPowerExpand[(x ^ 2) ^ (1/2)]
p21061
sg8
(lp21062
(dp21063
g11
(lp21064
sg13
g195
sg15
I3
sass(g1696
g20522
VSimplify
p21065
I0
tp21066
(dp21067
g6
VSimplify[2*Sin[x]^2 + 2*Cos[x]^2]
p21068
sg8
(lp21069
(dp21070
g11
(lp21071
sg13
V2
p21072
sg15
I1
sass(g1696
g20522
g21065
I1
tp21073
(dp21074
g6
VSimplify[x]
p21075
sg8
(lp21076
(dp21077
g11
(lp21078
sg13
g195
sg15
I2
sass(g1696
g20522
g21065
I2
tp21079
(dp21080
g6
VSimplify[f[x]]
p21081
sg8
(lp21082
(dp21083
g11
(lp21084
sg13
Vf\u005cleft[x\u005cright]
p21085
sg15
I3
sass(g1696
g20522
VTogether
p21086
I0
tp21087
(dp21088
g6
VTogether[a / c + b / c]
p21089
sg8
(lp21090
(dp21091
g11
(lp21092
sg13
V\u005cfrac{a+b}{c}
p21093
sg15
I1
sass(g1696
g20522
g21086
I1
tp21094
(dp21095
g6
VTogether[{x / (y+1) + x / (y+1)^2}]
p21096
sg8
(lp21097
(dp21098
g11
(lp21099
sg13
V\u005cleft\u005c{\u005cfrac{x \u005cleft(2+y\u005cright)}{\u005cleft(1+y\u005cright)^2}\u005cright\u005c}
p21100
sg15
I2
sass(g1696
g20522
g21086
I2
tp21101
(dp21102
g6
VTogether[f[a / c + b / c]]
p21103
sg8
(lp21104
(dp21105
g11
(lp21106
sg13
Vf\u005cleft[\u005cfrac{a}{c}+\u005cfrac{b}{c}\u005cright]
p21107
sg15
I3
sass(g1696
g20522
VVariables
p21108
I0
tp21109
(dp21110
g6
VVariables[a x^2 + b x + c]
p21111
sg8
(lp21112
(dp21113
g11
(lp21114
sg13
V\u005cleft\u005c{a,b,c,x\u005cright\u005c}
p21115
sg15
I1
sass(g1696
g20522
g21108
I1
tp21116
(dp21117
g6
VVariables[{a + b x, c y^2 + x/2}]
p21118
sg8
(lp21119
(dp21120
g11
(lp21121
sg13
V\u005cleft\u005c{a,b,c,x,y\u005cright\u005c}
p21122
sg15
I2
sass(g1696
g20522
g21108
I2
tp21123
(dp21124
g6
VVariables[x + Sin[y]]
p21125
sg8
(lp21126
(dp21127
g11
(lp21128
sg13
V\u005cleft\u005c{x,\u005ctext{Sin}\u005cleft[y\u005cright]\u005cright\u005c}
p21129
sg15
I3
sass(g1696
VNumeric Evaluation
p21130
VChop
p21131
I0
tp21132
(dp21133
g6
VChop[10.0 ^ -16]
p21134
sg8
(lp21135
(dp21136
g11
(lp21137
sg13
V0
p21138
sg15
I1
sass(g1696
g21130
g21131
I1
tp21139
(dp21140
g6
VChop[10.0 ^ -9]
p21141
sg8
(lp21142
(dp21143
g11
(lp21144
sg13
V1.\u005ctimes 10^{-9}
p21145
sg15
I2
sass(g1696
g21130
g21131
I2
tp21146
(dp21147
g6
VChop[10 ^ -11 I]
p21148
sg8
(lp21149
(dp21150
g11
(lp21151
sg13
V\u005cfrac{I}{100000000000}
p21152
sg15
I3
sass(g1696
g21130
g21131
I3
tp21153
(dp21154
g6
VChop[0. + 10 ^ -11 I]
p21155
sg8
(lp21156
(dp21157
g11
(lp21158
sg13
V0
p21159
sg15
I4
sass(g1696
g21130
VHash
p21160
I0
tp21161
(dp21162
g6
VHash[{a, b, c}, "xyzstr"]
p21163
sg8
(lp21164
(dp21165
g11
(lp21166
sg13
V\u005ctext{Hash}\u005cleft[\u005cleft\u005c{a,b,c\u005cright\u005c},\u005ctext{xyzstr},\u005ctext{Integer}\u005cright]
p21167
sg15
I1
sass(g1696
g21130
VIntegerDigits
p21168
I0
tp21169
(dp21170
g6
VIntegerDigits[76543]
p21171
sg8
(lp21172
(dp21173
g11
(lp21174
sg13
V\u005cleft\u005c{7,6,5,4,3\u005cright\u005c}
p21175
sg15
I1
sass(g1696
g21130
g21168
I1
tp21176
(dp21177
g6
VIntegerDigits[-76543]
p21178
sg8
(lp21179
(dp21180
g11
(lp21181
sg13
V\u005cleft\u005c{7,6,5,4,3\u005cright\u005c}
p21182
sg15
I2
sass(g1696
g21130
g21168
I2
tp21183
(dp21184
g6
VIntegerDigits[15, 16]
p21185
sg8
(lp21186
(dp21187
g11
(lp21188
sg13
V\u005cleft\u005c{15\u005cright\u005c}
p21189
sg15
I3
sass(g1696
g21130
g21168
I3
tp21190
(dp21191
g6
VIntegerDigits[1234, 16]
p21192
sg8
(lp21193
(dp21194
g11
(lp21195
sg13
V\u005cleft\u005c{4,13,2\u005cright\u005c}
p21196
sg15
I4
sass(g1696
g21130
g21168
I4
tp21197
(dp21198
g6
VIntegerDigits[1234, 10, 5]
p21199
sg8
(lp21200
(dp21201
g11
(lp21202
sg13
V\u005cleft\u005c{0,1,2,3,4\u005cright\u005c}
p21203
sg15
I5
sass(g1696
g21130
V$MachineEpsilon
p21204
I0
tp21205
(dp21206
g6
V$MachineEpsilon
p21207
sg8
(lp21208
(dp21209
g11
(lp21210
sg13
V2.22045\u005ctimes 10^{-16}
p21211
sg15
I1
sass(g1696
g21130
g21204
I1
tp21212
(dp21213
g6
Vx = 1.0 + {0.4, 0.5, 0.6} $MachineEpsilon;
p21214
sg8
(lp21215
(dp21216
g11
(lp21217
sg13
Nsg15
I2
sass(g1696
g21130
g21204
I2
tp21218
(dp21219
g6
Vx - 1
p21220
sg8
(lp21221
(dp21222
g11
(lp21223
sg13
V\u005cleft\u005c{0.,0.,2.22045\u005ctimes 10^{-16}\u005cright\u005c}
p21224
sg15
I3
sass(g1696
g21130
VMachinePrecision
p21225
I0
tp21226
(dp21227
g6
VN[MachinePrecision]
p21228
sg8
(lp21229
(dp21230
g11
(lp21231
sg13
V15.9546
p21232
sg15
I1
sass(g1696
g21130
g21225
I1
tp21233
(dp21234
g6
VN[MachinePrecision, 30]
p21235
sg8
(lp21236
(dp21237
g11
(lp21238
sg13
V15.9545897701910033463281614204
p21239
sg15
I2
sass(g1696
g21130
V$MachinePrecision
p21240
I0
tp21241
(dp21242
g6
V$MachinePrecision
p21243
sg8
(lp21244
(dp21245
g11
(lp21246
sg13
V15.9546
p21247
sg15
I1
sass(g1696
g21130
V$MaxPrecision
p21248
I0
tp21249
(dp21250
g6
V$MaxPrecision
p21251
sg8
(lp21252
(dp21253
g11
(lp21254
sg13
g165
sg15
I1
sass(g1696
g21130
g21248
I1
tp21255
(dp21256
g6
V$MaxPrecision = 10;
p21257
sg8
(lp21258
(dp21259
g11
(lp21260
sg13
Nsg15
I2
sass(g1696
g21130
g21248
I2
tp21261
(dp21262
g6
VN[Pi, 11]
p21263
sg8
(lp21264
(dp21265
g11
(lp21266
(dp21267
g149
I01
sg150
VN
p21268
sg152
Vpreclg
p21269
sg154
VN::preclg
p21270
sg156
VRequested precision 11 is larger than $MaxPrecision. Using current $MaxPrecision of 10. instead. $MaxPrecision = Infinity specifies that any precision should be allowed.
p21271
sasg13
V3.141592654
p21272
sg15
I3
sass(g1696
g21130
V$MinPrecision
p21273
I0
tp21274
(dp21275
g6
V$MinPrecision
p21276
sg8
(lp21277
(dp21278
g11
(lp21279
sg13
V0
p21280
sg15
I1
sass(g1696
g21130
g21273
I1
tp21281
(dp21282
g6
V$MinPrecision = 10;
p21283
sg8
(lp21284
(dp21285
g11
(lp21286
sg13
Nsg15
I2
sass(g1696
g21130
g21273
I2
tp21287
(dp21288
g6
VN[Pi, 9]
p21289
sg8
(lp21290
(dp21291
g11
(lp21292
(dp21293
g149
I01
sg150
g21268
sg152
Vprecsm
p21294
sg154
VN::precsm
p21295
sg156
VRequested precision 9 is smaller than $MinPrecision. Using current $MinPrecision of 10. instead.
p21296
sasg13
V3.141592654
p21297
sg15
I3
sass(g1696
g21130
g21268
I0
tp21298
(dp21299
g6
VN[Pi, 50]
p21300
sg8
(lp21301
(dp21302
g11
(lp21303
sg13
V3.1415926535897932384626433832795028841971693993751
p21304
sg15
I1
sass(g1696
g21130
g21268
I1
tp21305
(dp21306
g6
VN[1/7]
p21307
sg8
(lp21308
(dp21309
g11
(lp21310
sg13
V0.142857
p21311
sg15
I2
sass(g1696
g21130
g21268
I2
tp21312
(dp21313
g6
VN[1/7, 5]
p21314
sg8
(lp21315
(dp21316
g11
(lp21317
sg13
V0.14286
p21318
sg15
I3
sass(g1696
g21130
g21268
I3
tp21319
(dp21320
g6
VN[a] = 10.9
p21321
sg8
(lp21322
(dp21323
g11
(lp21324
sg13
V10.9
p21325
sg15
I4
sass(g1696
g21130
g21268
I4
tp21326
(dp21327
g6
g542
sg8
(lp21328
(dp21329
g11
(lp21330
sg13
g542
sg15
I5
sass(g1696
g21130
g21268
I5
tp21331
(dp21332
g6
VN[a + b]
p21333
sg8
(lp21334
(dp21335
g11
(lp21336
sg13
V10.9+b
p21337
sg15
I6
sass(g1696
g21130
g21268
I6
tp21338
(dp21339
g6
VN[a, 20]
p21340
sg8
(lp21341
(dp21342
g11
(lp21343
sg13
g542
sg15
I7
sass(g1696
g21130
g21268
I7
tp21344
(dp21345
g6
VN[a, 20] = 11;
p21346
sg8
(lp21347
(dp21348
g11
(lp21349
sg13
Nsg15
I8
sass(g1696
g21130
g21268
I8
tp21350
(dp21351
g6
VN[a + b, 20]
p21352
sg8
(lp21353
(dp21354
g11
(lp21355
sg13
V11.000000000000000000+b
p21356
sg15
I9
sass(g1696
g21130
g21268
I9
tp21357
(dp21358
g6
VN[f[a, b]]
p21359
sg8
(lp21360
(dp21361
g11
(lp21362
sg13
Vf\u005cleft[10.9,b\u005cright]
p21363
sg15
I10
sass(g1696
g21130
g21268
I10
tp21364
(dp21365
g6
VSetAttributes[f, NHoldAll]
p21366
sg8
(lp21367
(dp21368
g11
(lp21369
sg13
Nsg15
I11
sass(g1696
g21130
g21268
I11
tp21370
(dp21371
g6
VN[f[a, b]]
p21372
sg8
(lp21373
(dp21374
g11
(lp21375
sg13
Vf\u005cleft[a,b\u005cright]
p21376
sg15
I12
sass(g1696
g21130
g21268
I12
tp21377
(dp21378
g6
VN[c, p_?(#>10&)] := p
p21379
sg8
(lp21380
(dp21381
g11
(lp21382
sg13
Nsg15
I13
sass(g1696
g21130
g21268
I13
tp21383
(dp21384
g6
VN[c, 3]
p21385
sg8
(lp21386
(dp21387
g11
(lp21388
sg13
g444
sg15
I14
sass(g1696
g21130
g21268
I14
tp21389
(dp21390
g6
VN[c, 11]
p21391
sg8
(lp21392
(dp21393
g11
(lp21394
sg13
V11.000000000
p21395
sg15
I15
sass(g1696
g21130
g21268
I15
tp21396
(dp21397
g6
VN[d] ^= 5;
p21398
sg8
(lp21399
(dp21400
g11
(lp21401
sg13
Nsg15
I16
sass(g1696
g21130
g21268
I16
tp21402
(dp21403
g6
VUpValues[d]
p21404
sg8
(lp21405
(dp21406
g11
(lp21407
sg13
V\u005cleft\u005c{\u005cright\u005c}
p21408
sg15
I17
sass(g1696
g21130
g21268
I17
tp21409
(dp21410
g6
VNValues[d]
p21411
sg8
(lp21412
(dp21413
g11
(lp21414
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[N\u005cleft[d,\u005ctext{MachinePrecision}\u005cright]\u005cright]\u005ctext{:>}5\u005cright\u005c}
p21415
sg15
I18
sass(g1696
g21130
g21268
I18
tp21416
(dp21417
g6
Ve /: N[e] = 6;
p21418
sg8
(lp21419
(dp21420
g11
(lp21421
sg13
Nsg15
I19
sass(g1696
g21130
g21268
I19
tp21422
(dp21423
g6
VN[e]
p21424
sg8
(lp21425
(dp21426
g11
(lp21427
sg13
V6.
p21428
sg15
I20
sass(g1696
g21130
g21268
I20
tp21429
(dp21430
g6
Vf /: N[e[f]] = 7;
p21431
sg8
(lp21432
(dp21433
g11
(lp21434
(dp21435
g149
I01
sg150
VTagSet
p21436
sg152
g3130
sg154
VTagSet::tagnfd
p21437
sg156
VTag f not found or too deep for an assigned rule.
p21438
sasg13
Nsg15
I21
sass(g1696
g21130
g21268
I21
tp21439
(dp21440
g6
VN[g[x_, y_], p_] := x + y * Pi /; x + y > 3
p21441
sg8
(lp21442
(dp21443
g11
(lp21444
sg13
Nsg15
I22
sass(g1696
g21130
g21268
I22
tp21445
(dp21446
g6
VSetAttributes[g, NHoldRest]
p21447
sg8
(lp21448
(dp21449
g11
(lp21450
sg13
Nsg15
I23
sass(g1696
g21130
g21268
I23
tp21451
(dp21452
g6
VN[g[1, 1]]
p21453
sg8
(lp21454
(dp21455
g11
(lp21456
sg13
Vg\u005cleft[1.,1\u005cright]
p21457
sg15
I24
sass(g1696
g21130
g21268
I24
tp21458
(dp21459
g6
VN[g[2, 2]] // InputForm
p21460
sg8
(lp21461
(dp21462
g11
(lp21463
sg13
V8.283185307179586
p21464
sg15
I25
sass(g1696
g21130
g21268
I25
tp21465
(dp21466
g6
VN[Exp[0.1], 100]
p21467
sg8
(lp21468
(dp21469
g11
(lp21470
sg13
V1.10517
p21471
sg15
I26
sass(g1696
g21130
g21268
I26
tp21472
(dp21473
g6
V% // Precision
p21474
sg8
(lp21475
(dp21476
g11
(lp21477
sg13
V\u005ctext{MachinePrecision}
p21478
sg15
I27
sass(g1696
g21130
g21268
I27
tp21479
(dp21480
g6
VN[Exp[1/10], 100]
p21481
sg8
(lp21482
(dp21483
g11
(lp21484
sg13
V1.105170918075647624811707826490246668224547194737518718792863289440967966747654302989143318970748654
p21485
sg15
I28
sass(g1696
g21130
g21268
I28
tp21486
(dp21487
g6
V% // Precision
p21488
sg8
(lp21489
(dp21490
g11
(lp21491
sg13
V100.
p21492
sg15
I29
sass(g1696
g21130
g21268
I29
tp21493
(dp21494
g6
VN[Exp[1.0`20], 100]
p21495
sg8
(lp21496
(dp21497
g11
(lp21498
sg13
V2.7182818284590452354
p21499
sg15
I30
sass(g1696
g21130
g21268
I30
tp21500
(dp21501
g6
V% // Precision
p21502
sg8
(lp21503
(dp21504
g11
(lp21505
sg13
V20.
p21506
sg15
I31
sass(g1696
g21130
VNumericQ
p21507
I0
tp21508
(dp21509
g6
VNumericQ[2]
p21510
sg8
(lp21511
(dp21512
g11
(lp21513
sg13
V\u005ctext{True}
p21514
sg15
I1
sass(g1696
g21130
g21507
I1
tp21515
(dp21516
g6
VNumericQ[Sqrt[Pi]]
p21517
sg8
(lp21518
(dp21519
g11
(lp21520
sg13
V\u005ctext{True}
p21521
sg15
I2
sass(g1696
g21130
g21507
I2
tp21522
(dp21523
g6
VNumberQ[Sqrt[Pi]]
p21524
sg8
(lp21525
(dp21526
g11
(lp21527
sg13
V\u005ctext{False}
p21528
sg15
I3
sass(g1696
g21130
VPrecision
p21529
I0
tp21530
(dp21531
g6
VPrecision[1]
p21532
sg8
(lp21533
(dp21534
g11
(lp21535
sg13
g165
sg15
I1
sass(g1696
g21130
g21529
I1
tp21536
(dp21537
g6
VPrecision[1/2]
p21538
sg8
(lp21539
(dp21540
g11
(lp21541
sg13
g165
sg15
I2
sass(g1696
g21130
g21529
I2
tp21542
(dp21543
g6
VPrecision[0.5]
p21544
sg8
(lp21545
(dp21546
g11
(lp21547
sg13
V\u005ctext{MachinePrecision}
p21548
sg15
I3
sass(g1696
g21130
VRationalize
p21549
I0
tp21550
(dp21551
g6
VRationalize[2.2]
p21552
sg8
(lp21553
(dp21554
g11
(lp21555
sg13
V\u005cfrac{11}{5}
p21556
sg15
I1
sass(g1696
g21130
g21549
I1
tp21557
(dp21558
g6
VRationalize[N[Pi]]
p21559
sg8
(lp21560
(dp21561
g11
(lp21562
sg13
V3.14159
p21563
sg15
I2
sass(g1696
g21130
g21549
I2
tp21564
(dp21565
g6
VRationalize[N[Pi], 0]
p21566
sg8
(lp21567
(dp21568
g11
(lp21569
sg13
V\u005cfrac{245850922}{78256779}
p21570
sg15
I3
sass(g1696
g21130
VRealDigits
p21571
I0
tp21572
(dp21573
g6
VRealDigits[123.55555]
p21574
sg8
(lp21575
(dp21576
g11
(lp21577
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3,5,5,5,5,5,0,0,0,0,0,0,0,0\u005cright\u005c},3\u005cright\u005c}
p21578
sg15
I1
sass(g1696
g21130
g21571
I1
tp21579
(dp21580
g6
VRealDigits[0.000012355555]
p21581
sg8
(lp21582
(dp21583
g11
(lp21584
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3,5,5,5,5,5,0,0,0,0,0,0,0,0\u005cright\u005c},-4\u005cright\u005c}
p21585
sg15
I2
sass(g1696
g21130
g21571
I2
tp21586
(dp21587
g6
VRealDigits[-123.55555]
p21588
sg8
(lp21589
(dp21590
g11
(lp21591
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3,5,5,5,5,5,0,0,0,0,0,0,0,0\u005cright\u005c},3\u005cright\u005c}
p21592
sg15
I3
sass(g1696
g21130
g21571
I5
tp21593
(dp21594
g6
VRealDigits[Pi, 10, 25]
p21595
sg8
(lp21596
(dp21597
g11
(lp21598
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3\u005cright\u005c},1\u005cright\u005c}
p21599
sg15
I4
sass(g1696
g21130
g21571
I7
tp21600
(dp21601
g6
VRealDigits[19 / 7]
p21602
sg8
(lp21603
(dp21604
g11
(lp21605
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,\u005cleft\u005c{\u005ctext{7},\u005ctext{1},\u005ctext{4},\u005ctext{2},\u005ctext{8},\u005ctext{5}\u005cright\u005c}\u005cright\u005c},1\u005cright\u005c}
p21606
sg15
I5
sass(g1696
g21130
g21571
I10
tp21607
(dp21608
g6
VRealDigits[Pi, 10, 20, -5]
p21609
sg8
(lp21610
(dp21611
g11
(lp21612
sg13
V\u005cleft\u005c{\u005cleft\u005c{9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3\u005cright\u005c},-4\u005cright\u005c}
p21613
sg15
I6
sass(g1696
g21130
g21571
I12
tp21614
(dp21615
g6
VRealDigits[Pi, 10, 1, -10000]
p21616
sg8
(lp21617
(dp21618
g11
(lp21619
sg13
V\u005cleft\u005c{\u005cleft\u005c{8\u005cright\u005c},-9999\u005cright\u005c}
p21620
sg15
I7
sass(g1696
g21130
g21571
I26
tp21621
(dp21622
g6
VRealDigits[123.45, 10, 18]
p21623
sg8
(lp21624
(dp21625
g11
(lp21626
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3,4,5,0,0,0,0,0,0,0,0,0,0,0,\u005ctext{Indeterminate},\u005ctext{Indeterminate}\u005cright\u005c},3\u005cright\u005c}
p21627
sg15
I8
sass(g1696
g21130
VRound
p21628
I0
tp21629
(dp21630
g6
VRound[10.6]
p21631
sg8
(lp21632
(dp21633
g11
(lp21634
sg13
V11
p21635
sg15
I1
sass(g1696
g21130
g21628
I1
tp21636
(dp21637
g6
VRound[0.06, 0.1]
p21638
sg8
(lp21639
(dp21640
g11
(lp21641
sg13
V0.1
p21642
sg15
I2
sass(g1696
g21130
g21628
I2
tp21643
(dp21644
g6
VRound[0.04, 0.1]
p21645
sg8
(lp21646
(dp21647
g11
(lp21648
sg13
V0.
p21649
sg15
I3
sass(g1696
g21130
g21628
I3
tp21650
(dp21651
g6
VRound[Pi, .5]
p21652
sg8
(lp21653
(dp21654
g11
(lp21655
sg13
V3.
p21656
sg15
I4
sass(g1696
g21130
g21628
I4
tp21657
(dp21658
g6
VRound[Pi^2]
p21659
sg8
(lp21660
(dp21661
g11
(lp21662
sg13
V10
p21663
sg15
I5
sass(g1696
g21130
g21628
I5
tp21664
(dp21665
g6
VRound[2.6, 1/3]
p21666
sg8
(lp21667
(dp21668
g11
(lp21669
sg13
V\u005cfrac{8}{3}
p21670
sg15
I6
sass(g1696
g21130
g21628
I6
tp21671
(dp21672
g6
VRound[10, Pi]
p21673
sg8
(lp21674
(dp21675
g11
(lp21676
sg13
V3 \u005ctext{Pi}
p21677
sg15
I7
sass(g1696
g21130
g21628
I7
tp21678
(dp21679
g6
VRound[6/(2 + 3 I)]
p21680
sg8
(lp21681
(dp21682
g11
(lp21683
sg13
V1-I
p21684
sg15
I8
sass(g1696
g21130
g21628
I8
tp21685
(dp21686
g6
VRound[1 + 2 I, 2 I]
p21687
sg8
(lp21688
(dp21689
g11
(lp21690
sg13
V2 I
p21691
sg15
I9
sass(g1696
g21130
g21628
I9
tp21692
(dp21693
g6
VRound[-1.4]
p21694
sg8
(lp21695
(dp21696
g11
(lp21697
sg13
V-1
p21698
sg15
I10
sass(g1696
g21130
g21628
I10
tp21699
(dp21700
g6
VRound[x]
p21701
sg8
(lp21702
(dp21703
g11
(lp21704
sg13
V\u005ctext{Round}\u005cleft[x\u005cright]
p21705
sg15
I11
sass(g1696
g21130
g21628
I11
tp21706
(dp21707
g6
VRound[1.5, k]
p21708
sg8
(lp21709
(dp21710
g11
(lp21711
sg13
V\u005ctext{Round}\u005cleft[1.5,k\u005cright]
p21712
sg15
I12
sass(g1696
VFile Operations
p21713
VAbsoluteFileName
p21714
I0
tp21715
(dp21716
g6
VAbsoluteFileName["ExampleData/sunflowers.jpg"]
p21717
sg8
(lp21718
(dp21719
g11
(lp21720
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/sunflowers.jpg}
p21721
sg15
I1
sass(g1696
g21713
VBinaryRead
p21722
I0
tp21723
(dp21724
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21725
sg8
(lp21726
(dp21727
g11
(lp21728
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpb0epk6sw},184\u005cright]
p21729
sg15
I1
sass(g1696
g21713
g21722
I1
tp21730
(dp21731
g6
VBinaryWrite[strm, {97, 98, 99}]
p21732
sg8
(lp21733
(dp21734
g11
(lp21735
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpb0epk6sw},184\u005cright]
p21736
sg15
I2
sass(g1696
g21713
g21722
I2
tp21737
(dp21738
g6
VClose[strm]
p21739
sg8
(lp21740
(dp21741
g11
(lp21742
sg13
V\u005ctext{/tmp/tmpb0epk6sw}
p21743
sg15
I3
sass(g1696
g21713
g21722
I3
tp21744
(dp21745
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21746
sg8
(lp21747
(dp21748
g11
(lp21749
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpb0epk6sw},185\u005cright]
p21750
sg15
I4
sass(g1696
g21713
g21722
I4
tp21751
(dp21752
g6
VBinaryRead[strm, {"Character8", "Character8", "Character8"}]
p21753
sg8
(lp21754
(dp21755
g11
(lp21756
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p21757
sg15
I5
sass(g1696
g21713
g21722
I5
tp21758
(dp21759
g6
VClose[strm];
p21760
sg8
(lp21761
(dp21762
g11
(lp21763
sg13
Nsg15
I6
sass(g1696
g21713
VBinaryWrite
p21764
I0
tp21765
(dp21766
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21767
sg8
(lp21768
(dp21769
g11
(lp21770
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmp5t5goyss},310\u005cright]
p21771
sg15
I1
sass(g1696
g21713
g21764
I1
tp21772
(dp21773
g6
VBinaryWrite[strm, {39, 4, 122}]
p21774
sg8
(lp21775
(dp21776
g11
(lp21777
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmp5t5goyss},310\u005cright]
p21778
sg15
I2
sass(g1696
g21713
g21764
I2
tp21779
(dp21780
g6
VClose[strm]
p21781
sg8
(lp21782
(dp21783
g11
(lp21784
sg13
V\u005ctext{/tmp/tmp5t5goyss}
p21785
sg15
I3
sass(g1696
g21713
g21764
I3
tp21786
(dp21787
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21788
sg8
(lp21789
(dp21790
g11
(lp21791
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmp5t5goyss},311\u005cright]
p21792
sg15
I4
sass(g1696
g21713
g21764
I4
tp21793
(dp21794
g6
VBinaryRead[strm]
p21795
sg8
(lp21796
(dp21797
g11
(lp21798
sg13
V39
p21799
sg15
I5
sass(g1696
g21713
g21764
I5
tp21800
(dp21801
g6
VBinaryRead[strm, "Byte"]
p21802
sg8
(lp21803
(dp21804
g11
(lp21805
sg13
V4
p21806
sg15
I6
sass(g1696
g21713
g21764
I6
tp21807
(dp21808
g6
VBinaryRead[strm, "Character8"]
p21809
sg8
(lp21810
(dp21811
g11
(lp21812
sg13
V\u005ctext{z}
p21813
sg15
I7
sass(g1696
g21713
g21764
I7
tp21814
(dp21815
g6
VClose[strm];
p21816
sg8
(lp21817
(dp21818
g11
(lp21819
sg13
Nsg15
I8
sass(g1696
g21713
g21764
I8
tp21820
(dp21821
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21822
sg8
(lp21823
(dp21824
g11
(lp21825
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpcrcz9l83},312\u005cright]
p21826
sg15
I9
sass(g1696
g21713
g21764
I9
tp21827
(dp21828
g6
VBinaryWrite[strm, "abc123"]
p21829
sg8
(lp21830
(dp21831
g11
(lp21832
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpcrcz9l83},312\u005cright]
p21833
sg15
I10
sass(g1696
g21713
g21764
I10
tp21834
(dp21835
g6
VClose[%]
p21836
sg8
(lp21837
(dp21838
g11
(lp21839
sg13
V\u005ctext{/tmp/tmpcrcz9l83}
p21840
sg15
I11
sass(g1696
g21713
g21764
I11
tp21841
(dp21842
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21843
sg8
(lp21844
(dp21845
g11
(lp21846
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpcrcz9l83},313\u005cright]
p21847
sg15
I12
sass(g1696
g21713
g21764
I12
tp21848
(dp21849
g6
VBinaryRead[strm, {"Character8", "Character8", "Character8", "Character8", "Character8", "Character8", "Character8"}]
p21850
sg8
(lp21851
(dp21852
g11
(lp21853
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{1},\u005ctext{2},\u005ctext{3},\u005ctext{EndOfFile}\u005cright\u005c}
p21854
sg15
I13
sass(g1696
g21713
g21764
I13
tp21855
(dp21856
g6
VClose[strm]
p21857
sg8
(lp21858
(dp21859
g11
(lp21860
sg13
V\u005ctext{/tmp/tmpcrcz9l83}
p21861
sg15
I14
sass(g1696
g21713
g21764
I14
tp21862
(dp21863
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21864
sg8
(lp21865
(dp21866
g11
(lp21867
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpcrcz9l83},314\u005cright]
p21868
sg15
I15
sass(g1696
g21713
g21764
I15
tp21869
(dp21870
g6
VBinaryRead[strm, {"Byte", "Byte", "Byte", "Byte", "Byte", "Byte", "Byte"}]
p21871
sg8
(lp21872
(dp21873
g11
(lp21874
sg13
V\u005cleft\u005c{97,98,99,49,50,51,\u005ctext{EndOfFile}\u005cright\u005c}
p21875
sg15
I16
sass(g1696
g21713
g21764
I16
tp21876
(dp21877
g6
VClose[strm]
p21878
sg8
(lp21879
(dp21880
g11
(lp21881
sg13
V\u005ctext{/tmp/tmpcrcz9l83}
p21882
sg15
I17
sass(g1696
g21713
g21764
I17
tp21883
(dp21884
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21885
sg8
(lp21886
(dp21887
g11
(lp21888
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpesq8yrv7},315\u005cright]
p21889
sg15
I18
sass(g1696
g21713
g21764
I18
tp21890
(dp21891
g6
VBinaryWrite[strm, 97, "Byte"]
p21892
sg8
(lp21893
(dp21894
g11
(lp21895
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpesq8yrv7},315\u005cright]
p21896
sg15
I19
sass(g1696
g21713
g21764
I19
tp21897
(dp21898
g6
VBinaryWrite[strm, {97, 98, 99}, {"Byte", "Byte", "Byte"}]
p21899
sg8
(lp21900
(dp21901
g11
(lp21902
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpesq8yrv7},315\u005cright]
p21903
sg15
I20
sass(g1696
g21713
g21764
I20
tp21904
(dp21905
g6
VClose[%]
p21906
sg8
(lp21907
(dp21908
g11
(lp21909
sg13
V\u005ctext{/tmp/tmpesq8yrv7}
p21910
sg15
I21
sass(g1696
g21713
VClose
p21911
I0
tp21912
(dp21913
g6
VClose[StringToStream["123abc"]]
p21914
sg8
(lp21915
(dp21916
g11
(lp21917
sg13
V\u005ctext{String}
p21918
sg15
I1
sass(g1696
g21713
g21911
I1
tp21919
(dp21920
g6
VClose[OpenWrite[]]
p21921
sg8
(lp21922
(dp21923
g11
(lp21924
sg13
V\u005ctext{/tmp/tmpvdcjie3a}
p21925
sg15
I2
sass(g1696
g21713
VCompress
p21926
I0
tp21927
(dp21928
g6
VCompress[N[Pi, 10]]
p21929
sg8
(lp21930
(dp21931
g11
(lp21932
sg13
V\u005ctext{eJwz1jM0MTS1NDIzNQEADRsCNw==\u005cnewline\u000a}
p21933
sg15
I1
sass(g1696
g21713
VCopyFile
p21934
I0
tp21935
(dp21936
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"]
p21937
sg8
(lp21938
(dp21939
g11
(lp21940
sg13
V\u005ctext{MathicsSunflowers.jpg}
p21941
sg15
I1
sass(g1696
g21713
g21934
I1
tp21942
(dp21943
g6
VDeleteFile["MathicsSunflowers.jpg"]
p21944
sg8
(lp21945
(dp21946
g11
(lp21947
sg13
Nsg15
I2
sass(g1696
g21713
VCreateDirectory
p21948
I0
tp21949
(dp21950
g6
Vdir = CreateDirectory[]
p21951
sg8
(lp21952
(dp21953
g11
(lp21954
sg13
V\u005ctext{/tmp/m0rtjtkio}
p21955
sg15
I1
sass(g1696
g21713
VDeleteDirectory
p21956
I0
tp21957
(dp21958
g6
Vdir = CreateDirectory[]
p21959
sg8
(lp21960
(dp21961
g11
(lp21962
sg13
V\u005ctext{/tmp/m4ojp1eyo}
p21963
sg15
I1
sass(g1696
g21713
g21956
I1
tp21964
(dp21965
g6
VDeleteDirectory[dir]
p21966
sg8
(lp21967
(dp21968
g11
(lp21969
sg13
Nsg15
I2
sass(g1696
g21713
g21956
I2
tp21970
(dp21971
g6
VDirectoryQ[dir]
p21972
sg8
(lp21973
(dp21974
g11
(lp21975
sg13
V\u005ctext{False}
p21976
sg15
I3
sass(g1696
g21713
VDeleteFile
p21977
I0
tp21978
(dp21979
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"];
p21980
sg8
(lp21981
(dp21982
g11
(lp21983
sg13
Nsg15
I1
sass(g1696
g21713
g21977
I1
tp21984
(dp21985
g6
VDeleteFile["MathicsSunflowers.jpg"]
p21986
sg8
(lp21987
(dp21988
g11
(lp21989
sg13
Nsg15
I2
sass(g1696
g21713
g21977
I2
tp21990
(dp21991
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers1.jpg"];
p21992
sg8
(lp21993
(dp21994
g11
(lp21995
sg13
Nsg15
I3
sass(g1696
g21713
g21977
I3
tp21996
(dp21997
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers2.jpg"];
p21998
sg8
(lp21999
(dp22000
g11
(lp22001
sg13
Nsg15
I4
sass(g1696
g21713
g21977
I4
tp22002
(dp22003
g6
VDeleteFile[{"MathicsSunflowers1.jpg", "MathicsSunflowers2.jpg"}]
p22004
sg8
(lp22005
(dp22006
g11
(lp22007
sg13
Nsg15
I5
sass(g1696
g21713
VDirectory
p22008
I0
tp22009
(dp22010
g6
VDirectory[]
p22011
sg8
(lp22012
(dp22013
g11
(lp22014
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p22015
sg15
I1
sass(g1696
g21713
VDirectoryName
p22016
I0
tp22017
(dp22018
g6
VDirectoryName["a/b/c"]
p22019
sg8
(lp22020
(dp22021
g11
(lp22022
sg13
V\u005ctext{a/b}
p22023
sg15
I1
sass(g1696
g21713
g22016
I1
tp22024
(dp22025
g6
VDirectoryName["a/b/c", 2]
p22026
sg8
(lp22027
(dp22028
g11
(lp22029
sg13
V\u005ctext{a}
p22030
sg15
I2
sass(g1696
g21713
VDirectoryQ
p22031
I0
tp22032
(dp22033
g6
VDirectoryQ["ExampleData/"]
p22034
sg8
(lp22035
(dp22036
g11
(lp22037
sg13
V\u005ctext{True}
p22038
sg15
I1
sass(g1696
g21713
g22031
I1
tp22039
(dp22040
g6
VDirectoryQ["ExampleData/MythicalSubdir/"]
p22041
sg8
(lp22042
(dp22043
g11
(lp22044
sg13
V\u005ctext{False}
p22045
sg15
I2
sass(g1696
g21713
VDirectoryStack
p22046
I0
tp22047
(dp22048
g6
VDirectoryStack[]
p22049
sg8
(lp22050
(dp22051
g11
(lp22052
sg13
V\u005cleft\u005c{\u005ctext{/src/external-vcs/github/mathics/Mathics}\u005cright\u005c}
p22053
sg15
I1
sass(g1696
g21713
VExpandFileName
p22054
I0
tp22055
(dp22056
g6
VExpandFileName["ExampleData/sunflowers.jpg"]
p22057
sg8
(lp22058
(dp22059
g11
(lp22060
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/ExampleData/sunflowers.jpg}
p22061
sg15
I1
sass(g1696
g21713
VFileBaseName
p22062
I0
tp22063
(dp22064
g6
VFileBaseName["file.txt"]
p22065
sg8
(lp22066
(dp22067
g11
(lp22068
sg13
V\u005ctext{file}
p22069
sg15
I1
sass(g1696
g21713
g22062
I1
tp22070
(dp22071
g6
VFileBaseName["file.tar.gz"]
p22072
sg8
(lp22073
(dp22074
g11
(lp22075
sg13
V\u005ctext{file.tar}
p22076
sg15
I2
sass(g1696
g21713
VFileByteCount
p22077
I0
tp22078
(dp22079
g6
VFileByteCount["ExampleData/sunflowers.jpg"]
p22080
sg8
(lp22081
(dp22082
g11
(lp22083
sg13
V142286
p22084
sg15
I1
sass(g1696
g21713
VFileDate
p22085
I0
tp22086
(dp22087
g6
VFileDate["ExampleData/sunflowers.jpg"]
p22088
sg8
(lp22089
(dp22090
g11
(lp22091
sg13
V\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}
p22092
sg15
I1
sass(g1696
g21713
g22085
I1
tp22093
(dp22094
g6
VFileDate["ExampleData/sunflowers.jpg", "Access"]
p22095
sg8
(lp22096
(dp22097
g11
(lp22098
sg13
V\u005cleft\u005c{2121,2,15,1,40,43.5443\u005cright\u005c}
p22099
sg15
I2
sass(g1696
g21713
g22085
I2
tp22100
(dp22101
g6
VFileDate["ExampleData/sunflowers.jpg", "Creation"]
p22102
sg8
(lp22103
(dp22104
g11
(lp22105
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright]
p22106
sg15
I3
sass(g1696
g21713
g22085
I3
tp22107
(dp22108
g6
VFileDate["ExampleData/sunflowers.jpg", "Change"]
p22109
sg8
(lp22110
(dp22111
g11
(lp22112
sg13
V\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}
p22113
sg15
I4
sass(g1696
g21713
g22085
I4
tp22114
(dp22115
g6
VFileDate["ExampleData/sunflowers.jpg", "Modification"]
p22116
sg8
(lp22117
(dp22118
g11
(lp22119
sg13
V\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}
p22120
sg15
I5
sass(g1696
g21713
g22085
I5
tp22121
(dp22122
g6
VFileDate["ExampleData/sunflowers.jpg", "Rules"]
p22123
sg8
(lp22124
(dp22125
g11
(lp22126
sg13
V\u005cleft\u005c{\u005ctext{Access}->\u005cleft\u005c{2121,2,15,1,40,43.5443\u005cright\u005c},\u005ctext{Creation}->\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright],\u005ctext{Change}->\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c},\u005ctext{Modification}->\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}\u005cright\u005c}
p22127
sg15
I6
sass(g1696
g21713
VFileExistsQ
p22128
I0
tp22129
(dp22130
g6
VFileExistsQ["ExampleData/sunflowers.jpg"]
p22131
sg8
(lp22132
(dp22133
g11
(lp22134
sg13
V\u005ctext{True}
p22135
sg15
I1
sass(g1696
g21713
g22128
I1
tp22136
(dp22137
g6
VFileExistsQ["ExampleData/sunflowers.png"]
p22138
sg8
(lp22139
(dp22140
g11
(lp22141
sg13
V\u005ctext{False}
p22142
sg15
I2
sass(g1696
g21713
VFileExtension
p22143
I0
tp22144
(dp22145
g6
VFileExtension["file.txt"]
p22146
sg8
(lp22147
(dp22148
g11
(lp22149
sg13
V\u005ctext{txt}
p22150
sg15
I1
sass(g1696
g21713
g22143
I1
tp22151
(dp22152
g6
VFileExtension["file.tar.gz"]
p22153
sg8
(lp22154
(dp22155
g11
(lp22156
sg13
V\u005ctext{gz}
p22157
sg15
I2
sass(g1696
g21713
VFileHash
p22158
I0
tp22159
(dp22160
g6
VFileHash["ExampleData/sunflowers.jpg"]
p22161
sg8
(lp22162
(dp22163
g11
(lp22164
sg13
V109937059621979839952736809235486742106
p22165
sg15
I1
sass(g1696
g21713
g22158
I1
tp22166
(dp22167
g6
VFileHash["ExampleData/sunflowers.jpg", "MD5"]
p22168
sg8
(lp22169
(dp22170
g11
(lp22171
sg13
V109937059621979839952736809235486742106
p22172
sg15
I2
sass(g1696
g21713
g22158
I2
tp22173
(dp22174
g6
VFileHash["ExampleData/sunflowers.jpg", "Adler32"]
p22175
sg8
(lp22176
(dp22177
g11
(lp22178
sg13
V1607049478
p22179
sg15
I3
sass(g1696
g21713
g22158
I3
tp22180
(dp22181
g6
VFileHash["ExampleData/sunflowers.jpg", "SHA256"]
p22182
sg8
(lp22183
(dp22184
g11
(lp22185
sg13
V111619807552579450300684600241129773909359865098672286468229443390003894913065
p22186
sg15
I4
sass(g1696
g21713
VFileInformation
p22187
I0
tp22188
(dp22189
g6
VFileInformation["ExampleData/sunflowers.jpg"]
p22190
sg8
(lp22191
(dp22192
g11
(lp22193
sg13
V\u005cleft\u005c{\u005ctext{File}->\u005ctext{/src/external-vcs/github/mathics/Mathics/ExampleData/sunflowers.jpg},\u005ctext{FileType}->\u005ctext{File},\u005ctext{ByteCount}->142286,\u005ctext{Date}->6.96413\u005ctimes 10^9\u005cright\u005c}
p22194
sg15
I1
sass(g1696
g21713
VFileNameDepth
p22195
I0
tp22196
(dp22197
g6
VFileNameDepth["a/b/c"]
p22198
sg8
(lp22199
(dp22200
g11
(lp22201
sg13
V3
p22202
sg15
I1
sass(g1696
g21713
g22195
I1
tp22203
(dp22204
g6
VFileNameDepth["a/b/c/"]
p22205
sg8
(lp22206
(dp22207
g11
(lp22208
sg13
V3
p22209
sg15
I2
sass(g1696
g21713
VFileNameJoin
p22210
I0
tp22211
(dp22212
g6
VFileNameJoin[{"dir1", "dir2", "dir3"}]
p22213
sg8
(lp22214
(dp22215
g11
(lp22216
sg13
V\u005ctext{dir1/dir2/dir3}
p22217
sg15
I1
sass(g1696
g21713
g22210
I1
tp22218
(dp22219
g6
VFileNameJoin[{"dir1", "dir2", "dir3"}, OperatingSystem -> "Unix"]
p22220
sg8
(lp22221
(dp22222
g11
(lp22223
sg13
V\u005ctext{dir1/dir2/dir3}
p22224
sg15
I2
sass(g1696
g21713
VFileNameSplit
p22225
I0
tp22226
(dp22227
g6
VFileNameSplit["example/path/file.txt"]
p22228
sg8
(lp22229
(dp22230
g11
(lp22231
sg13
V\u005cleft\u005c{\u005ctext{example},\u005ctext{path},\u005ctext{file.txt}\u005cright\u005c}
p22232
sg15
I1
sass(g1696
g21713
VFileNameTake
p22233
I0
tp22234
(dp22235
g6
VFileNameTake["/tmp/file.txt"]
p22236
sg8
(lp22237
(dp22238
g11
(lp22239
sg13
V\u005ctext{file.txt}
p22240
sg15
I1
sass(g1696
g21713
g22233
I1
tp22241
(dp22242
g6
VFileNameTake["tmp/file.txt", 1]
p22243
sg8
(lp22244
(dp22245
g11
(lp22246
sg13
V\u005ctext{tmp}
p22247
sg15
I2
sass(g1696
g21713
g22233
I2
tp22248
(dp22249
g6
VFileNameTake["tmp/file.txt", -1]
p22250
sg8
(lp22251
(dp22252
g11
(lp22253
sg13
V\u005ctext{file.txt}
p22254
sg15
I3
sass(g1696
g21713
VFileType
p22255
I0
tp22256
(dp22257
g6
VFileType["ExampleData/sunflowers.jpg"]
p22258
sg8
(lp22259
(dp22260
g11
(lp22261
sg13
V\u005ctext{File}
p22262
sg15
I1
sass(g1696
g21713
g22255
I1
tp22263
(dp22264
g6
VFileType["ExampleData"]
p22265
sg8
(lp22266
(dp22267
g11
(lp22268
sg13
V\u005ctext{Directory}
p22269
sg15
I2
sass(g1696
g21713
g22255
I2
tp22270
(dp22271
g6
VFileType["ExampleData/nonexistant"]
p22272
sg8
(lp22273
(dp22274
g11
(lp22275
sg13
V\u005ctext{None}
p22276
sg15
I3
sass(g1696
g21713
VFind
p22277
I0
tp22278
(dp22279
g6
Vstr = OpenRead["ExampleData/EinsteinSzilLetter.txt"];
p22280
sg8
(lp22281
(dp22282
g11
(lp22283
sg13
Nsg15
I1
sass(g1696
g21713
g22277
I1
tp22284
(dp22285
g6
VFind[str, "uranium"]
p22286
sg8
(lp22287
(dp22288
g11
(lp22289
sg13
V\u005ctext{in manuscript, leads me to expect that the element uranium may be turned into}
p22290
sg15
I2
sass(g1696
g21713
g22277
I2
tp22291
(dp22292
g6
VFind[str, "uranium"]
p22293
sg8
(lp22294
(dp22295
g11
(lp22296
sg13
V\u005ctext{become possible to set up a nuclear chain reaction in a large mass of uranium,}
p22297
sg15
I3
sass(g1696
g21713
g22277
I3
tp22298
(dp22299
g6
VClose[str]
p22300
sg8
(lp22301
(dp22302
g11
(lp22303
sg13
V\u005ctext{ExampleData/EinsteinSzilLetter.txt}
p22304
sg15
I4
sass(g1696
g21713
g22277
I4
tp22305
(dp22306
g6
Vstr = OpenRead["ExampleData/EinsteinSzilLetter.txt"];
p22307
sg8
(lp22308
(dp22309
g11
(lp22310
sg13
Nsg15
I5
sass(g1696
g21713
g22277
I5
tp22311
(dp22312
g6
VFind[str, {"energy", "power"} ]
p22313
sg8
(lp22314
(dp22315
g11
(lp22316
sg13
V\u005ctext{a new and important source of energy in the immediate future. Certain aspects}
p22317
sg15
I6
sass(g1696
g21713
g22277
I6
tp22318
(dp22319
g6
VFind[str, {"energy", "power"} ]
p22320
sg8
(lp22321
(dp22322
g11
(lp22323
sg13
V\u005ctext{by which vast amounts of power and large quantities of new radium-like}
p22324
sg15
I7
sass(g1696
g21713
g22277
I7
tp22325
(dp22326
g6
VClose[str]
p22327
sg8
(lp22328
(dp22329
g11
(lp22330
sg13
V\u005ctext{ExampleData/EinsteinSzilLetter.txt}
p22331
sg15
I8
sass(g1696
g21713
VFindFile
p22332
I0
tp22333
(dp22334
g6
VFindFile["ExampleData/sunflowers.jpg"]
p22335
sg8
(lp22336
(dp22337
g11
(lp22338
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/sunflowers.jpg}
p22339
sg15
I1
sass(g1696
g21713
g22332
I1
tp22340
(dp22341
g6
VFindFile["VectorAnalysis`"]
p22342
sg8
(lp22343
(dp22344
g11
(lp22345
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages/VectorAnalysis/Kernel/init.m}
p22346
sg15
I2
sass(g1696
g21713
g22332
I2
tp22347
(dp22348
g6
VFindFile["VectorAnalysis`VectorAnalysis`"]
p22349
sg8
(lp22350
(dp22351
g11
(lp22352
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages/VectorAnalysis/VectorAnalysis.m}
p22353
sg15
I3
sass(g1696
g21713
VFindList
p22354
I0
tp22355
(dp22356
g6
Vstr = FindList["ExampleData/EinsteinSzilLetter.txt", "uranium"];
p22357
sg8
(lp22358
(dp22359
g11
(lp22360
sg13
Nsg15
I1
sass(g1696
g21713
g22354
I2
tp22361
(dp22362
g6
VFindList["ExampleData/EinsteinSzilLetter.txt", "uranium", 1]
p22363
sg8
(lp22364
(dp22365
g11
(lp22366
sg13
V\u005cleft\u005c{\u005ctext{in manuscript, leads me to expect that the element uranium may be turned into}\u005cright\u005c}
p22367
sg15
I2
sass(g1696
g21713
VGet
p22368
I0
tp22369
(dp22370
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22371
sg8
(lp22372
(dp22373
g11
(lp22374
sg13
Nsg15
I1
sass(g1696
g21713
g22368
I1
tp22375
(dp22376
g6
VPut[x + y, filename]
p22377
sg8
(lp22378
(dp22379
g11
(lp22380
sg13
Nsg15
I2
sass(g1696
g21713
g22368
I2
tp22381
(dp22382
g6
VGet[filename]
p22383
sg8
(lp22384
(dp22385
g11
(lp22386
(dp22387
g149
I01
sg150
VSyntax
p22388
sg152
Vsntxf
p22389
sg154
VSyntax::sntxf
p22390
sg156
V"x" cannot be followed by "\u005ctext{ + }y" (line 1 of "/tmp/example_file").
p22391
sasg13
Nsg15
I3
sass(g1696
g21713
g22368
I3
tp22392
(dp22393
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22394
sg8
(lp22395
(dp22396
g11
(lp22397
sg13
Nsg15
I4
sass(g1696
g21713
g22368
I4
tp22398
(dp22399
g6
VPut[x + y, 2x^2 + 4z!, Cos[x] + I Sin[x], filename]
p22400
sg8
(lp22401
(dp22402
g11
(lp22403
sg13
Nsg15
I5
sass(g1696
g21713
g22368
I5
tp22404
(dp22405
g6
VGet["/tmp/example_file"]
p22406
sg8
(lp22407
(dp22408
g11
(lp22409
(dp22410
g149
I01
sg150
VSyntax
p22411
sg152
g22389
sg154
VSyntax::sntxf
p22412
sg156
V"x" cannot be followed by "\u005ctext{ + }y" (line 1 of "/tmp/example_file").
p22413
sasg13
Nsg15
I6
sass(g1696
g21713
g22368
I6
tp22414
(dp22415
g6
VDeleteFile[filename]
p22416
sg8
(lp22417
(dp22418
g11
(lp22419
sg13
Nsg15
I7
sass(g1696
g21713
V$HomeDirectory
p22420
I0
tp22421
(dp22422
g6
V$HomeDirectory
p22423
sg8
(lp22424
(dp22425
g11
(lp22426
sg13
V\u005ctext{/home/rocky}
p22427
sg15
I1
sass(g1696
g21713
V$InitialDirectory
p22428
I0
tp22429
(dp22430
g6
V$InitialDirectory
p22431
sg8
(lp22432
(dp22433
g11
(lp22434
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p22435
sg15
I1
sass(g1696
g21713
V$Input
p22436
I0
tp22437
(dp22438
g6
V$Input
p22439
sg8
(lp22440
(dp22441
g11
(lp22442
sg13
V\u005ctext{}
p22443
sg15
I1
sass(g1696
g21713
V$InputFileName
p22444
I0
tp22445
(dp22446
g6
V$InputFileName
p22447
sg8
(lp22448
(dp22449
g11
(lp22450
sg13
V\u005ctext{/tmp/example\u005c_file}
p22451
sg15
I1
sass(g1696
g21713
VInputStream
p22452
I0
tp22453
(dp22454
g6
Vstr = StringToStream["Mathics is cool!"]
p22455
sg8
(lp22456
(dp22457
g11
(lp22458
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},375\u005cright]
p22459
sg15
I1
sass(g1696
g21713
g22452
I1
tp22460
(dp22461
g6
VClose[str]
p22462
sg8
(lp22463
(dp22464
g11
(lp22465
sg13
V\u005ctext{String}
p22466
sg15
I2
sass(g1696
g21713
V$InstallationDirectory
p22467
I0
tp22468
(dp22469
g6
V$InstallationDirectory
p22470
sg8
(lp22471
(dp22472
g11
(lp22473
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics}
p22474
sg15
I1
sass(g1696
g21713
VNeeds
p22475
I0
tp22476
(dp22477
g6
VNeeds["VectorAnalysis`"]
p22478
sg8
(lp22479
(dp22480
g11
(lp22481
sg13
Nsg15
I1
sass(g1696
g21713
VOpenAppend
p22482
I0
tp22483
(dp22484
g6
VOpenAppend[]
p22485
sg8
(lp22486
(dp22487
g11
(lp22488
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpejv607h2},385\u005cright]
p22489
sg15
I1
sass(g1696
g21713
VOpenRead
p22490
I0
tp22491
(dp22492
g6
VOpenRead["ExampleData/EinsteinSzilLetter.txt"]
p22493
sg8
(lp22494
(dp22495
g11
(lp22496
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{ExampleData/EinsteinSzilLetter.txt},391\u005cright]
p22497
sg15
I1
sass(g1696
g21713
g22490
I2
tp22498
(dp22499
g6
VOpenRead["https://raw.githubusercontent.com/mathics/Mathics/master/README.rst"]
p22500
sg8
(lp22501
(dp22502
g11
(lp22503
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{https://raw.githubusercontent.com/mathics/Mathics/master/README.rst},392\u005cright]
p22504
sg15
I2
sass(g1696
g21713
g22490
I3
tp22505
(dp22506
g6
VClose[%];
p22507
sg8
(lp22508
(dp22509
g11
(lp22510
sg13
Nsg15
I3
sass(g1696
g21713
VOpenWrite
p22511
I0
tp22512
(dp22513
g6
VOpenWrite[]
p22514
sg8
(lp22515
(dp22516
g11
(lp22517
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpwi\u005c_jgq0y},396\u005cright]
p22518
sg15
I1
sass(g1696
g21713
V$OperatingSystem
p22519
I0
tp22520
(dp22521
g6
V$OperatingSystem
p22522
sg8
(lp22523
(dp22524
g11
(lp22525
sg13
V\u005ctext{Unix}
p22526
sg15
I1
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g21713
VOutputStream
p22527
I0
tp22528
(dp22529
g6
VOpenWrite[]
p22530
sg8
(lp22531
(dp22532
g11
(lp22533
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpu\u005c_9eznsb},399\u005cright]
p22534
sg15
I1
sass(g1696
g21713
g22527
I1
tp22535
(dp22536
g6
VClose[%]
p22537
sg8
(lp22538
(dp22539
g11
(lp22540
sg13
V\u005ctext{/tmp/tmpu\u005c_9eznsb}
p22541
sg15
I2
sass(g1696
g21713
VParentDirectory
p22542
I0
tp22543
(dp22544
g6
VParentDirectory[]
p22545
sg8
(lp22546
(dp22547
g11
(lp22548
sg13
V\u005ctext{/src/external-vcs/github/mathics}
p22549
sg15
I1
sass(g1696
g21713
V$Path
p22550
I0
tp22551
(dp22552
g6
V$Path
p22553
sg8
(lp22554
(dp22555
g11
(lp22556
sg13
V\u005cleft\u005c{\u005ctext{.},\u005ctext{/home/rocky},\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data},\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages}\u005cright\u005c}
p22557
sg15
I1
sass(g1696
g21713
V$PathnameSeparator
p22558
I0
tp22559
(dp22560
g6
V$PathnameSeparator
p22561
sg8
(lp22562
(dp22563
g11
(lp22564
sg13
V\u005ctext{/}
p22565
sg15
I1
sass(g1696
g21713
VPut
p22566
I0
tp22567
(dp22568
g6
VPut[40!, fortyfactorial]
p22569
sg8
(lp22570
(dp22571
g11
(lp22572
(dp22573
g149
I01
sg150
VGeneral
p22574
sg152
Vstream
p22575
sg154
VGeneral::stream
p22576
sg156
Vfortyfactorial is not string, InputStream[], or OutputStream[]
p22577
sasg13
V815915283247897734345611269596115894272000000000\u005ctext{>>}\u005ctext{fortyfactorial}
p22578
sg15
I1
sass(g1696
g21713
g22566
I1
tp22579
(dp22580
g6
Vfilename = $TemporaryDirectory <> "/fortyfactorial";
p22581
sg8
(lp22582
(dp22583
g11
(lp22584
sg13
Nsg15
I2
sass(g1696
g21713
g22566
I2
tp22585
(dp22586
g6
VPut[40!, filename]
p22587
sg8
(lp22588
(dp22589
g11
(lp22590
sg13
Nsg15
I3
sass(g1696
g21713
g22566
I3
tp22591
(dp22592
g6
VFilePrint[filename]
p22593
sg8
(lp22594
(dp22595
g11
(lp22596
(dp22597
g149
I00
sg156
V815915283247897734345611269596115894272000000000
p22598
sasg13
Nsg15
I4
sass(g1696
g21713
g22566
I4
tp22599
(dp22600
g6
VGet[filename]
p22601
sg8
(lp22602
(dp22603
g11
(lp22604
sg13
V815915283247897734345611269596115894272000000000
p22605
sg15
I5
sass(g1696
g21713
g22566
I5
tp22606
(dp22607
g6
VDeleteFile[filename]
p22608
sg8
(lp22609
(dp22610
g11
(lp22611
sg13
Nsg15
I6
sass(g1696
g21713
g22566
I6
tp22612
(dp22613
g6
Vfilename = $TemporaryDirectory <> "/fiftyfactorial";
p22614
sg8
(lp22615
(dp22616
g11
(lp22617
sg13
Nsg15
I7
sass(g1696
g21713
g22566
I7
tp22618
(dp22619
g6
VPut[10!, 20!, 30!, filename]
p22620
sg8
(lp22621
(dp22622
g11
(lp22623
sg13
Nsg15
I8
sass(g1696
g21713
g22566
I8
tp22624
(dp22625
g6
VFilePrint[filename]
p22626
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(dp22628
g11
(lp22629
(dp22630
g149
I00
sg156
V3628800
p22631
sa(dp22632
g149
I00
sg156
V2432902008176640000
p22633
sa(dp22634
g149
I00
sg156
V265252859812191058636308480000000
p22635
sasg13
Nsg15
I9
sass(g1696
g21713
g22566
I9
tp22636
(dp22637
g6
VDeleteFile[filename]
p22638
sg8
(lp22639
(dp22640
g11
(lp22641
sg13
Nsg15
I10
sass(g1696
g21713
g22566
I10
tp22642
(dp22643
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22644
sg8
(lp22645
(dp22646
g11
(lp22647
sg13
Nsg15
I11
sass(g1696
g21713
g22566
I11
tp22648
(dp22649
g6
VPut[x + y, 2x^2 + 4z!, Cos[x] + I Sin[x], filename]
p22650
sg8
(lp22651
(dp22652
g11
(lp22653
sg13
Nsg15
I12
sass(g1696
g21713
g22566
I12
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(dp22655
g6
VFilePrint[filename]
p22656
sg8
(lp22657
(dp22658
g11
(lp22659
(dp22660
g149
I00
sg156
Vx\u005ctext{ + }y
p22661
sa(dp22662
g149
I00
sg156
V2*x{}^{\u005cwedge}2\u005ctext{ + }4*z!
p22663
sa(dp22664
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I00
sg156
V\u005ctext{Cos}\u005cleft[x\u005cright]\u005ctext{ + }I*\u005ctext{Sin}\u005cleft[x\u005cright]
p22665
sasg13
Nsg15
I13
sass(g1696
g21713
g22566
I13
tp22666
(dp22667
g6
VDeleteFile[filename]
p22668
sg8
(lp22669
(dp22670
g11
(lp22671
sg13
Nsg15
I14
sass(g1696
g21713
g22566
I14
tp22672
(dp22673
g6
Vx >> /var/
p22674
sg8
(lp22675
(dp22676
g11
(lp22677
(dp22678
g149
I01
sg150
VGeneral
p22679
sg152
Vnoopen
p22680
sg154
VGeneral::noopen
p22681
sg156
VCannot open /var/.
p22682
sasg13
Vx\u005ctext{>>}\u005ctext{/var/}
p22683
sg15
I15
sass(g1696
g21713
g22566
I15
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(dp22685
g6
Vx >> /proc/uptime
p22686
sg8
(lp22687
(dp22688
g11
(lp22689
(dp22690
g149
I01
sg150
VGeneral
p22691
sg152
g22680
sg154
VGeneral::noopen
p22692
sg156
VCannot open /proc/uptime.
p22693
sasg13
Vx\u005ctext{>>}\u005ctext{/proc/uptime}
p22694
sg15
I16
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g21713
g22566
I16
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(dp22696
g6
Vx >> /dev/full
p22697
sg8
(lp22698
(dp22699
g11
(lp22700
(dp22701
g149
I01
sg150
VClose
p22702
sg152
Vclosex
p22703
sg154
VClose::closex
p22704
sg156
VNo space left on device.
p22705
sasg13
Nsg15
I17
sass(g1696
g21713
VPutAppend
p22706
I0
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(dp22708
g6
VPut[50!, "factorials"]
p22709
sg8
(lp22710
(dp22711
g11
(lp22712
sg13
Nsg15
I1
sass(g1696
g21713
g22706
I1
tp22713
(dp22714
g6
VFilePrint["factorials"]
p22715
sg8
(lp22716
(dp22717
g11
(lp22718
(dp22719
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22720
sasg13
Nsg15
I2
sass(g1696
g21713
g22706
I2
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(dp22722
g6
VPutAppend[10!, 20!, 30!, "factorials"]
p22723
sg8
(lp22724
(dp22725
g11
(lp22726
sg13
Nsg15
I3
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g21713
g22706
I3
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(dp22728
g6
VFilePrint["factorials"]
p22729
sg8
(lp22730
(dp22731
g11
(lp22732
(dp22733
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22734
sa(dp22735
g149
I00
sg156
V3628800
p22736
sa(dp22737
g149
I00
sg156
V2432902008176640000
p22738
sa(dp22739
g149
I00
sg156
V265252859812191058636308480000000
p22740
sasg13
Nsg15
I4
sass(g1696
g21713
g22706
I4
tp22741
(dp22742
g6
V60! >>> "factorials"
p22743
sg8
(lp22744
(dp22745
g11
(lp22746
sg13
Nsg15
I5
sass(g1696
g21713
g22706
I5
tp22747
(dp22748
g6
VFilePrint["factorials"]
p22749
sg8
(lp22750
(dp22751
g11
(lp22752
(dp22753
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22754
sa(dp22755
g149
I00
sg156
V3628800
p22756
sa(dp22757
g149
I00
sg156
V2432902008176640000
p22758
sa(dp22759
g149
I00
sg156
V265252859812191058636308480000000
p22760
sa(dp22761
g149
I00
sg156
V8320987112741390144276341183223364380754172606361245952449277696409600000000000000
p22762
sasg13
Nsg15
I6
sass(g1696
g21713
g22706
I6
tp22763
(dp22764
g6
V"string" >>> factorials
p22765
sg8
(lp22766
(dp22767
g11
(lp22768
sg13
Nsg15
I7
sass(g1696
g21713
g22706
I7
tp22769
(dp22770
g6
VFilePrint["factorials"]
p22771
sg8
(lp22772
(dp22773
g11
(lp22774
(dp22775
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22776
sa(dp22777
g149
I00
sg156
V3628800
p22778
sa(dp22779
g149
I00
sg156
V2432902008176640000
p22780
sa(dp22781
g149
I00
sg156
V265252859812191058636308480000000
p22782
sa(dp22783
g149
I00
sg156
V8320987112741390144276341183223364380754172606361245952449277696409600000000000000
p22784
sa(dp22785
g149
I00
sg156
V"string"
p22786
sasg13
Nsg15
I8
sass(g1696
g21713
VRead
p22787
I2
tp22788
(dp22789
g6
Vstr = StringToStream["abc123"];
p22790
sg8
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(dp22792
g11
(lp22793
sg13
Nsg15
I1
sass(g1696
g21713
g22787
I3
tp22794
(dp22795
g6
VRead[str, String]
p22796
sg8
(lp22797
(dp22798
g11
(lp22799
sg13
V\u005ctext{abc123}
p22800
sg15
I2
sass(g1696
g21713
g22787
I6
tp22801
(dp22802
g6
Vstr = StringToStream["abc 123"];
p22803
sg8
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(dp22805
g11
(lp22806
sg13
Nsg15
I3
sass(g1696
g21713
g22787
I7
tp22807
(dp22808
g6
VRead[str, Word]
p22809
sg8
(lp22810
(dp22811
g11
(lp22812
sg13
V\u005ctext{abc}
p22813
sg15
I4
sass(g1696
g21713
g22787
I8
tp22814
(dp22815
g6
VRead[str, Word]
p22816
sg8
(lp22817
(dp22818
g11
(lp22819
sg13
V\u005ctext{123}
p22820
sg15
I5
sass(g1696
g21713
g22787
I15
tp22821
(dp22822
g6
Vstr = StringToStream["123, 4"];
p22823
sg8
(lp22824
(dp22825
g11
(lp22826
sg13
Nsg15
I6
sass(g1696
g21713
g22787
I16
tp22827
(dp22828
g6
VRead[str, Number]
p22829
sg8
(lp22830
(dp22831
g11
(lp22832
sg13
V123
p22833
sg15
I7
sass(g1696
g21713
g22787
I17
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(dp22835
g6
VRead[str, Number]
p22836
sg8
(lp22837
(dp22838
g11
(lp22839
sg13
V4
p22840
sg15
I8
sass(g1696
g21713
g22787
I38
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(dp22842
g6
Vstr = StringToStream["123 abc"];
p22843
sg8
(lp22844
(dp22845
g11
(lp22846
sg13
Nsg15
I9
sass(g1696
g21713
g22787
I39
tp22847
(dp22848
g6
VRead[str, {Number, Word}]
p22849
sg8
(lp22850
(dp22851
g11
(lp22852
sg13
V\u005cleft\u005c{123,\u005ctext{abc}\u005cright\u005c}
p22853
sg15
I10
sass(g1696
g21713
VReadList
p22854
I0
tp22855
(dp22856
g6
VReadList[StringToStream["a 1 b 2"], {Word, Number}]
p22857
sg8
(lp22858
(dp22859
g11
(lp22860
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{a},1\u005cright\u005c},\u005cleft\u005c{\u005ctext{b},2\u005cright\u005c}\u005cright\u005c}
p22861
sg15
I1
sass(g1696
g21713
g22854
I1
tp22862
(dp22863
g6
Vstr = StringToStream["abc123"];
p22864
sg8
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(dp22866
g11
(lp22867
sg13
Nsg15
I2
sass(g1696
g21713
g22854
I2
tp22868
(dp22869
g6
VReadList[str]
p22870
sg8
(lp22871
(dp22872
g11
(lp22873
sg13
V\u005cleft\u005c{\u005ctext{abc123}\u005cright\u005c}
p22874
sg15
I3
sass(g1696
g21713
g22854
I3
tp22875
(dp22876
g6
VInputForm[%]
p22877
sg8
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(dp22879
g11
(lp22880
sg13
V\u005cleft\u005c{\u005ctext{"abc123"}\u005cright\u005c}
p22881
sg15
I4
sass(g1696
g21713
VRenameFile
p22882
I0
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g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"]
p22885
sg8
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(dp22887
g11
(lp22888
sg13
V\u005ctext{MathicsSunflowers.jpg}
p22889
sg15
I1
sass(g1696
g21713
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I1
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(dp22891
g6
VRenameFile["MathicsSunflowers.jpg", "MathicsSunnyFlowers.jpg"]
p22892
sg8
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(dp22894
g11
(lp22895
sg13
V\u005ctext{MathicsSunnyFlowers.jpg}
p22896
sg15
I2
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g21713
g22882
I2
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(dp22898
g6
VDeleteFile["MathicsSunnyFlowers.jpg"]
p22899
sg8
(lp22900
(dp22901
g11
(lp22902
sg13
Nsg15
I3
sass(g1696
g21713
VResetDirectory
p22903
I0
tp22904
(dp22905
g6
VResetDirectory[]
p22906
sg8
(lp22907
(dp22908
g11
(lp22909
(dp22910
g149
I01
sg150
VResetDirectory
p22911
sg152
Vdtop
p22912
sg154
VResetDirectory::dtop
p22913
sg156
VDirectory stack is empty.
p22914
sasg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p22915
sg15
I1
sass(g1696
g21713
V$RootDirectory
p22916
I0
tp22917
(dp22918
g6
V$RootDirectory
p22919
sg8
(lp22920
(dp22921
g11
(lp22922
sg13
V\u005ctext{/}
p22923
sg15
I1
sass(g1696
g21713
VSetDirectory
p22924
I0
tp22925
(dp22926
g6
VSetDirectory[]
p22927
sg8
(lp22928
(dp22929
g11
(lp22930
sg13
V\u005ctext{/home/rocky}
p22931
sg15
I1
sass(g1696
g21713
VSetFileDate
p22932
I0
tp22933
(dp22934
g6
Vtmpfilename = $TemporaryDirectory <> "/tmp0";
p22935
sg8
(lp22936
(dp22937
g11
(lp22938
sg13
Nsg15
I1
sass(g1696
g21713
g22932
I1
tp22939
(dp22940
g6
VClose[OpenWrite[tmpfilename]];
p22941
sg8
(lp22942
(dp22943
g11
(lp22944
sg13
Nsg15
I2
sass(g1696
g21713
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I2
tp22945
(dp22946
g6
VSetFileDate[tmpfilename, {2002, 1, 1, 0, 0, 0.}, "Access"];
p22947
sg8
(lp22948
(dp22949
g11
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sg13
Nsg15
I3
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g21713
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I3
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(dp22952
g6
VFileDate[tmpfilename, "Access"]
p22953
sg8
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g11
(lp22956
sg13
V\u005cleft\u005c{2002,1,1,0,0,0.\u005cright\u005c}
p22957
sg15
I4
sass(g1696
g21713
VSetStreamPosition
p22958
I0
tp22959
(dp22960
g6
Vstr = StringToStream["Mathics is cool!"]
p22961
sg8
(lp22962
(dp22963
g11
(lp22964
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},482\u005cright]
p22965
sg15
I1
sass(g1696
g21713
g22958
I1
tp22966
(dp22967
g6
VSetStreamPosition[str, 8]
p22968
sg8
(lp22969
(dp22970
g11
(lp22971
sg13
V8
p22972
sg15
I2
sass(g1696
g21713
g22958
I2
tp22973
(dp22974
g6
VRead[str, Word]
p22975
sg8
(lp22976
(dp22977
g11
(lp22978
sg13
V\u005ctext{is}
p22979
sg15
I3
sass(g1696
g21713
g22958
I4
tp22980
(dp22981
g6
VSetStreamPosition[str, Infinity]
p22982
sg8
(lp22983
(dp22984
g11
(lp22985
sg13
V16
p22986
sg15
I4
sass(g1696
g21713
VSkip
p22987
I0
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(dp22989
g6
Vstr = StringToStream["a b c d"];
p22990
sg8
(lp22991
(dp22992
g11
(lp22993
sg13
Nsg15
I1
sass(g1696
g21713
g22987
I1
tp22994
(dp22995
g6
VRead[str, Word]
p22996
sg8
(lp22997
(dp22998
g11
(lp22999
sg13
V\u005ctext{a}
p23000
sg15
I2
sass(g1696
g21713
g22987
I2
tp23001
(dp23002
g6
VSkip[str, Word]
p23003
sg8
(lp23004
(dp23005
g11
(lp23006
sg13
Nsg15
I3
sass(g1696
g21713
g22987
I3
tp23007
(dp23008
g6
VRead[str, Word]
p23009
sg8
(lp23010
(dp23011
g11
(lp23012
sg13
V\u005ctext{c}
p23013
sg15
I4
sass(g1696
g21713
g22987
I5
tp23014
(dp23015
g6
Vstr = StringToStream["a b c d"];
p23016
sg8
(lp23017
(dp23018
g11
(lp23019
sg13
Nsg15
I5
sass(g1696
g21713
g22987
I6
tp23020
(dp23021
g6
VRead[str, Word]
p23022
sg8
(lp23023
(dp23024
g11
(lp23025
sg13
V\u005ctext{a}
p23026
sg15
I6
sass(g1696
g21713
g22987
I7
tp23027
(dp23028
g6
VSkip[str, Word, 2]
p23029
sg8
(lp23030
(dp23031
g11
(lp23032
sg13
Nsg15
I7
sass(g1696
g21713
g22987
I8
tp23033
(dp23034
g6
VRead[str, Word]
p23035
sg8
(lp23036
(dp23037
g11
(lp23038
sg13
V\u005ctext{d}
p23039
sg15
I8
sass(g1696
g21713
VStreamPosition
p23040
I0
tp23041
(dp23042
g6
Vstr = StringToStream["Mathics is cool!"]
p23043
sg8
(lp23044
(dp23045
g11
(lp23046
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},491\u005cright]
p23047
sg15
I1
sass(g1696
g21713
g23040
I1
tp23048
(dp23049
g6
VRead[str, Word]
p23050
sg8
(lp23051
(dp23052
g11
(lp23053
sg13
V\u005ctext{Mathics}
p23054
sg15
I2
sass(g1696
g21713
g23040
I2
tp23055
(dp23056
g6
VStreamPosition[str]
p23057
sg8
(lp23058
(dp23059
g11
(lp23060
sg13
V7
p23061
sg15
I3
sass(g1696
g21713
VStreams
p23062
I0
tp23063
(dp23064
g6
VStreams[]
p23065
sg8
(lp23066
(dp23067
g11
(lp23068
sg13
V\u005cleft\u005c{\u005ctext{InputStream}\u005cleft[\u005ctext{<stdin>},0\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{<stdout>},1\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{<stderr>},2\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{MathicsNonExampleFile},383\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpmsvbecv1},384\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpejv607h2},385\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/EinsteinSzilLetter.txt},389\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/EinsteinSzilLetter.txt},391\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmp3zujv7ke},395\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpwi\u005c_jgq0y},396\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},452\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},462\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},463\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},464\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},465\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},466\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},467\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},468\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},469\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},470\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},472\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},473\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},474\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},475\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},476\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},480\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},481\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},482\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},485\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},486\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},487\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},488\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},489\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},490\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},491\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpkexkdcrm},492\u005cright]\u005cright\u005c}
p23069
sg15
I1
sass(g1696
g21713
VStringToStream
p23070
I0
tp23071
(dp23072
g6
Vstrm = StringToStream["abc 123"]
p23073
sg8
(lp23074
(dp23075
g11
(lp23076
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},495\u005cright]
p23077
sg15
I1
sass(g1696
g21713
V$TemporaryDirectory
p23078
I0
tp23079
(dp23080
g6
V$TemporaryDirectory
p23081
sg8
(lp23082
(dp23083
g11
(lp23084
sg13
V\u005ctext{/tmp}
p23085
sg15
I1
sass(g1696
g21713
VToFileName
p23086
I1
tp23087
(dp23088
g6
VToFileName[{"dir1", "dir2"}, "file"]
p23089
sg8
(lp23090
(dp23091
g11
(lp23092
sg13
V\u005ctext{dir1/dir2/file}
p23093
sg15
I1
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g21713
g23086
I2
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(dp23095
g6
VToFileName["dir1", "file"]
p23096
sg8
(lp23097
(dp23098
g11
(lp23099
sg13
V\u005ctext{dir1/file}
p23100
sg15
I2
sass(g1696
g21713
g23086
I3
tp23101
(dp23102
g6
VToFileName[{"dir1", "dir2", "dir3"}]
p23103
sg8
(lp23104
(dp23105
g11
(lp23106
sg13
V\u005ctext{dir1/dir2/dir3}
p23107
sg15
I3
sass(g1696
g21713
VUncompress
p23108
I0
tp23109
(dp23110
g6
VCompress["Mathics is cool"]
p23111
sg8
(lp23112
(dp23113
g11
(lp23114
sg13
V\u005ctext{eJxT8k0sychMLlbILFZIzs/PUQIANFwF1w==\u005cnewline\u000a}
p23115
sg15
I1
sass(g1696
g21713
g23108
I1
tp23116
(dp23117
g6
VUncompress[%]
p23118
sg8
(lp23119
(dp23120
g11
(lp23121
sg13
V\u005ctext{Mathics is cool}
p23122
sg15
I2
sass(g1696
g21713
g23108
I2
tp23123
(dp23124
g6
Va = x ^ 2 + y Sin[x] + 10 Log[15];
p23125
sg8
(lp23126
(dp23127
g11
(lp23128
sg13
Nsg15
I3
sass(g1696
g21713
g23108
I3
tp23129
(dp23130
g6
Vb = Compress[a];
p23131
sg8
(lp23132
(dp23133
g11
(lp23134
sg13
Nsg15
I4
sass(g1696
g21713
g23108
I4
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(dp23136
g6
VUncompress[b]
p23137
sg8
(lp23138
(dp23139
g11
(lp23140
sg13
Vx^2+y \u005ctext{Sin}\u005cleft[x\u005cright]+10 \u005ctext{Log}\u005cleft[15\u005cright]
p23141
sg15
I5
sass(g1696
g21713
VWrite
p23142
I0
tp23143
(dp23144
g6
Vstr = OpenWrite[]
p23145
sg8
(lp23146
(dp23147
g11
(lp23148
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmp4r3ec3av},500\u005cright]
p23149
sg15
I1
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g21713
g23142
I1
tp23150
(dp23151
g6
VWrite[str, 10 x + 15 y ^ 2]
p23152
sg8
(lp23153
(dp23154
g11
(lp23155
sg13
Nsg15
I2
sass(g1696
g21713
g23142
I2
tp23156
(dp23157
g6
VWrite[str, 3 Sin[z]]
p23158
sg8
(lp23159
(dp23160
g11
(lp23161
sg13
Nsg15
I3
sass(g1696
g21713
g23142
I3
tp23162
(dp23163
g6
VClose[str]
p23164
sg8
(lp23165
(dp23166
g11
(lp23167
sg13
V\u005ctext{/tmp/tmp4r3ec3av}
p23168
sg15
I4
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g21713
g23142
I4
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(dp23170
g6
Vstr = OpenRead[%];
p23171
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(lp23172
(dp23173
g11
(lp23174
sg13
Nsg15
I5
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g21713
g23142
I5
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(dp23176
g6
VReadList[str]
p23177
sg8
(lp23178
(dp23179
g11
(lp23180
sg13
V\u005cleft\u005c{\u005ctext{10 x + 15 y ${}^{\u005cwedge}$ 2},\u005ctext{3 Sin[z]}\u005cright\u005c}
p23181
sg15
I6
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g21713
VWriteString
p23182
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(dp23184
g6
Vstr = OpenWrite[];
p23185
sg8
(lp23186
(dp23187
g11
(lp23188
sg13
Nsg15
I1
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g21713
g23182
I1
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(dp23190
g6
VWriteString[str, "This is a test 1"]
p23191
sg8
(lp23192
(dp23193
g11
(lp23194
sg13
Nsg15
I2
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g21713
g23182
I2
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(dp23196
g6
VWriteString[str, "This is also a test 2"]
p23197
sg8
(lp23198
(dp23199
g11
(lp23200
sg13
Nsg15
I3
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g21713
g23182
I3
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(dp23202
g6
VClose[str]
p23203
sg8
(lp23204
(dp23205
g11
(lp23206
sg13
V\u005ctext{/tmp/tmpfb3fz1xh}
p23207
sg15
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g21713
g23182
I4
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(dp23209
g6
VFilePrint[%]
p23210
sg8
(lp23211
(dp23212
g11
(lp23213
(dp23214
g149
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sg156
VThis is a test 1This is also a test 2
p23215
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Nsg15
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g21713
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I5
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(dp23217
g6
Vstr = OpenWrite[];
p23218
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(dp23220
g11
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sg13
Nsg15
I6
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g21713
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(dp23223
g6
VWriteString[str, "This is a test 1", "This is also a test 2"]
p23224
sg8
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(dp23226
g11
(lp23227
sg13
Nsg15
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g21713
g23182
I7
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(dp23229
g6
VClose[str]
p23230
sg8
(lp23231
(dp23232
g11
(lp23233
sg13
V\u005ctext{/tmp/tmpkcy1an0j}
p23234
sg15
I8
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g21713
g23182
I8
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(dp23236
g6
VFilePrint[%]
p23237
sg8
(lp23238
(dp23239
g11
(lp23240
(dp23241
g149
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sg156
VThis is a test 1This is also a test 2
p23242
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Nsg15
I9
sass(g1696
VImporting and Exporting
p23243
VSystem`Convert`B64Dump`B64Decode
p23244
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(dp23246
g6
VSystem`Convert`B64Dump`B64Decode["R!="]
p23247
sg8
(lp23248
(dp23249
g11
(lp23250
(dp23251
g149
I01
sg150
VSystem`Convert`B64Dump`B64Decode
p23252
sg152
Vb64invalidstr
p23253
sg154
VSystem`Convert`B64Dump`B64Decode::b64invalidstr
p23254
sg156
VString "R!=" is not a valid b64 encoded string.
p23255
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V\u005ctext{\u005c$Failed}
p23256
sg15
I1
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g23243
VSystem`Convert`B64Dump`B64Encode
p23257
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(dp23259
g6
VSystem`Convert`B64Dump`B64Encode["Hello world"]
p23260
sg8
(lp23261
(dp23262
g11
(lp23263
sg13
V\u005ctext{SGVsbG8gd29ybGQ=}
p23264
sg15
I1
sass(g1696
g23243
g23257
I1
tp23265
(dp23266
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23267
sg8
(lp23268
(dp23269
g11
(lp23270
sg13
V\u005ctext{Hello world}
p23271
sg15
I2
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g23243
g23257
I2
tp23272
(dp23273
g6
VSystem`Convert`B64Dump`B64Encode[Integrate[f[x],{x,0,2}]]
p23274
sg8
(lp23275
(dp23276
g11
(lp23277
sg13
V\u005ctext{SW50ZWdyYXRlW2ZbeF0sIHt4LCAwLCAyfV0=}
p23278
sg15
I3
sass(g1696
g23243
g23257
I3
tp23279
(dp23280
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23281
sg8
(lp23282
(dp23283
g11
(lp23284
sg13
V\u005ctext{Integrate[f[x], \u005c{x, 0, 2\u005c}]}
p23285
sg15
I4
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g23243
g23257
I4
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(dp23287
g6
VSystem`Convert`B64Dump`B64Encode["\u222b f \uf74c x"]
p23288
sg8
(lp23289
(dp23290
g11
(lp23291
sg13
V\u005ctext{4oirIGYg752MIHg=}
p23292
sg15
I5
sass(g1696
g23243
g23257
I5
tp23293
(dp23294
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23295
sg8
(lp23296
(dp23297
g11
(lp23298
sg13
V\u005ctext{\u222b f \u005c, d x}
p23299
sg15
I6
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g23243
V$ExportFormats
p23300
I0
tp23301
(dp23302
g6
V$ExportFormats
p23303
sg8
(lp23304
(dp23305
g11
(lp23306
sg13
V\u005cleft\u005c{\u005ctext{BMP},\u005ctext{Base64},\u005ctext{CSV},\u005ctext{GIF},\u005ctext{JPEG},\u005ctext{JPEG2000},\u005ctext{PBM},\u005ctext{PCX},\u005ctext{PGM},\u005ctext{PNG},\u005ctext{PPM},\u005ctext{SVG},\u005ctext{TIFF},\u005ctext{Text}\u005cright\u005c}
p23307
sg15
I1
sass(g1696
g23243
VExportString
p23308
I0
tp23309
(dp23310
g6
VExportString[{{1,2,3,4},{3},{2},{4}}, "CSV"]
p23311
sg8
(lp23312
(dp23313
g11
(lp23314
sg13
V\u005ctext{1,2,3,4\u005cnewline\u000a3,\u005cnewline\u000a2,\u005cnewline\u000a4,}
p23315
sg15
I1
sass(g1696
g23243
g23308
I1
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(dp23317
g6
VExportString[{1,2,3,4}, "CSV"]
p23318
sg8
(lp23319
(dp23320
g11
(lp23321
sg13
V\u005ctext{1,\u005cnewline\u000a2,\u005cnewline\u000a3,\u005cnewline\u000a4,}
p23322
sg15
I2
sass(g1696
g23243
g23308
I2
tp23323
(dp23324
g6
VExportString[Integrate[f[x],{x,0,2}], "SVG"]
p23325
sg8
(lp23326
(dp23327
g11
(lp23328
sg13
V\u005ctext{<svg><mstyle mathvariant="sans-serif"><mrow><msubsup><mo>\u222b</mo> <mn>0</mn> <mn>2</mn></msubsup> <mrow><mi>f</mi> <mo>[</mo> <mi>x</mi> <mo>]</mo></mrow> <mo form="prefix" lspace="0" rspace="0.2em">\u2062</mo> <mrow><mtext>\uf74c</mtext> <mi>x</mi></mrow></mrow></mstyle></svg>}
p23329
sg15
I3
sass(g1696
g23243
VFileFormat
p23330
I0
tp23331
(dp23332
g6
VFileFormat["ExampleData/sunflowers.jpg"]
p23333
sg8
(lp23334
(dp23335
g11
(lp23336
sg13
V\u005ctext{JPEG}
p23337
sg15
I1
sass(g1696
g23243
g23330
I1
tp23338
(dp23339
g6
VFileFormat["ExampleData/EinsteinSzilLetter.txt"]
p23340
sg8
(lp23341
(dp23342
g11
(lp23343
sg13
V\u005ctext{Text}
p23344
sg15
I2
sass(g1696
g23243
g23330
I2
tp23345
(dp23346
g6
VFileFormat["ExampleData/lena.tif"]
p23347
sg8
(lp23348
(dp23349
g11
(lp23350
sg13
V\u005ctext{TIFF}
p23351
sg15
I3
sass(g1696
g23243
g23330
I9
tp23352
(dp23353
g6
VFileFormat["ExampleData/benzene.xyz"]
p23354
sg8
(lp23355
(dp23356
g11
(lp23357
sg13
V\u005ctext{XYZ}
p23358
sg15
I4
sass(g1696
g23243
VImport
p23359
I6
tp23360
(dp23361
g6
VImport["ExampleData/ExampleData.txt", "Elements"]
p23362
sg8
(lp23363
(dp23364
g11
(lp23365
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Lines},\u005ctext{Plaintext},\u005ctext{String},\u005ctext{Words}\u005cright\u005c}
p23366
sg15
I1
sass(g1696
g23243
g23359
I7
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(dp23368
g6
VImport["ExampleData/ExampleData.txt", "Lines"]
p23369
sg8
(lp23370
(dp23371
g11
(lp23372
sg13
V\u005cleft\u005c{\u005ctext{Example File Format},\u005ctext{Created by Angus},\u005ctext{0.629452	0.586355},\u005ctext{0.711009	0.687453},\u005ctext{0.246540	0.433973},\u005ctext{0.926871	0.887255},\u005ctext{0.825141	0.940900},\u005ctext{0.847035	0.127464},\u005ctext{0.054348	0.296494},\u005ctext{0.838545	0.247025},\u005ctext{0.838697	0.436220},\u005ctext{0.309496	0.833591}\u005cright\u005c}
p23373
sg15
I2
sass(g1696
g23243
g23359
I10
tp23374
(dp23375
g6
VImport["ExampleData/colors.json"]
p23376
sg8
(lp23377
(dp23378
g11
(lp23379
sg13
V\u005cleft\u005c{\u005ctext{colorsArray}->\u005cleft\u005c{\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{black},\u005ctext{rgbValue}->\u005ctext{(0, 0, 0)},\u005ctext{hexValue}->\u005ctext{\u005c#000000}\u005cright\u005c},\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{red},\u005ctext{rgbValue}->\u005ctext{(255, 0, 0)},\u005ctext{hexValue}->\u005ctext{\u005c#FF0000}\u005cright\u005c},\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{green},\u005ctext{rgbValue}->\u005ctext{(0, 255, 0)},\u005ctext{hexValue}->\u005ctext{\u005c#00FF00}\u005cright\u005c},\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{blue},\u005ctext{rgbValue}->\u005ctext{(0, 0, 255)},\u005ctext{hexValue}->\u005ctext{\u005c#0000FF}\u005cright\u005c},\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{yellow},\u005ctext{rgbValue}->\u005ctext{(255, 255, 0)},\u005ctext{hexValue}->\u005ctext{\u005c#FFFF00}\u005cright\u005c},\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{cyan},\u005ctext{rgbValue}->\u005ctext{(0, 255, 255)},\u005ctext{hexValue}->\u005ctext{\u005c#00FFFF}\u005cright\u005c},\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{magenta},\u005ctext{rgbValue}->\u005ctext{(255, 0, 255)},\u005ctext{hexValue}->\u005ctext{\u005c#FF00FF}\u005cright\u005c},\u005cleft\u005c{\u005ctext{colorName}->\u005ctext{white},\u005ctext{rgbValue}->\u005ctext{(255, 255, 255)},\u005ctext{hexValue}->\u005ctext{\u005c#FFFFFF}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p23380
sg15
I3
sass(g1696
g23243
V$ImportFormats
p23381
I0
tp23382
(dp23383
g6
V$ImportFormats
p23384
sg8
(lp23385
(dp23386
g11
(lp23387
sg13
V\u005cleft\u005c{\u005ctext{BMP},\u005ctext{Base64},\u005ctext{CSV},\u005ctext{GIF},\u005ctext{ICO},\u005ctext{JPEG},\u005ctext{JPEG2000},\u005ctext{JSON},\u005ctext{PBM},\u005ctext{PCX},\u005ctext{PGM},\u005ctext{PNG},\u005ctext{PPM},\u005ctext{Package},\u005ctext{TGA},\u005ctext{TIFF},\u005ctext{Text},\u005ctext{XML}\u005cright\u005c}
p23388
sg15
I1
sass(g1696
g23243
VImportString
p23389
I7
tp23390
(dp23391
g6
Vstr = "Hello!\u005cn    This is a testing text\u005cn";
p23392
sg8
(lp23393
(dp23394
g11
(lp23395
sg13
Nsg15
I1
sass(g1696
g23243
g23389
I8
tp23396
(dp23397
g6
VImportString[str, "Elements"]
p23398
sg8
(lp23399
(dp23400
g11
(lp23401
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Lines},\u005ctext{Plaintext},\u005ctext{String},\u005ctext{Words}\u005cright\u005c}
p23402
sg15
I2
sass(g1696
g23243
g23389
I9
tp23403
(dp23404
g6
VImportString[str, "Lines"]
p23405
sg8
(lp23406
(dp23407
g11
(lp23408
sg13
V\u005cleft\u005c{\u005ctext{Hello!},\u005ctext{    This is a testing text}\u005cright\u005c}
p23409
sg15
I3
sass(g1696
g23243
VImportExport`RegisterExport
p23410
I0
tp23411
(dp23412
g6
VExampleExporter1[filename_, data_, opts___] := Module[{strm = OpenWrite[filename], char = data}, WriteString[strm, char]; Close[strm]]
p23413
sg8
(lp23414
(dp23415
g11
(lp23416
sg13
Nsg15
I1
sass(g1696
g23243
g23410
I1
tp23417
(dp23418
g6
VImportExport`RegisterExport["ExampleFormat1", ExampleExporter1]
p23419
sg8
(lp23420
(dp23421
g11
(lp23422
sg13
Nsg15
I2
sass(g1696
g23243
g23410
I2
tp23423
(dp23424
g6
VExport["sample.txt", "Encode this string!", "ExampleFormat1"];
p23425
sg8
(lp23426
(dp23427
g11
(lp23428
sg13
Nsg15
I3
sass(g1696
g23243
g23410
I3
tp23429
(dp23430
g6
VFilePrint["sample.txt"]
p23431
sg8
(lp23432
(dp23433
g11
(lp23434
(dp23435
g149
I00
sg156
VEncode this string!
p23436
sasg13
Nsg15
I4
sass(g1696
g23243
g23410
I5
tp23437
(dp23438
g6
VExampleExporter2[filename_, data_, opts___] := Module[{strm = OpenWrite[filename], char}, (* TODO: Check data *) char = FromCharacterCode[Mod[ToCharacterCode[data] - 84, 26] + 97]; WriteString[strm, char]; Close[strm]]
p23439
sg8
(lp23440
(dp23441
g11
(lp23442
sg13
Nsg15
I5
sass(g1696
g23243
g23410
I6
tp23443
(dp23444
g6
VImportExport`RegisterExport["ExampleFormat2", ExampleExporter2]
p23445
sg8
(lp23446
(dp23447
g11
(lp23448
sg13
Nsg15
I6
sass(g1696
g23243
g23410
I7
tp23449
(dp23450
g6
VExport["sample.txt", "encodethisstring", "ExampleFormat2"];
p23451
sg8
(lp23452
(dp23453
g11
(lp23454
sg13
Nsg15
I7
sass(g1696
g23243
g23410
I8
tp23455
(dp23456
g6
VFilePrint["sample.txt"]
p23457
sg8
(lp23458
(dp23459
g11
(lp23460
(dp23461
g149
I00
sg156
Vrapbqrguvffgevat
p23462
sasg13
Nsg15
I8
sass(g1696
g23243
VImportExport`RegisterImport
p23463
I0
tp23464
(dp23465
g6
VExampleFormat1Import[filename_String] := Module[{stream, head, data}, stream = OpenRead[filename]; head = ReadList[stream, String, 2]; data = Partition[ReadList[stream, Number], 2]; Close[stream]; {"Header" -> head, "Data" -> data}]
p23466
sg8
(lp23467
(dp23468
g11
(lp23469
sg13
Nsg15
I1
sass(g1696
g23243
g23463
I1
tp23470
(dp23471
g6
VImportExport`RegisterImport["ExampleFormat1", ExampleFormat1Import]
p23472
sg8
(lp23473
(dp23474
g11
(lp23475
sg13
Nsg15
I2
sass(g1696
g23243
g23463
I2
tp23476
(dp23477
g6
VFilePrint["ExampleData/ExampleData.txt"]
p23478
sg8
(lp23479
(dp23480
g11
(lp23481
(dp23482
g149
I00
sg156
VExample File Format
p23483
sa(dp23484
g149
I00
sg156
VCreated by Angus
p23485
sa(dp23486
g149
I00
sg156
V0.629452	0.586355
p23487
sa(dp23488
g149
I00
sg156
V0.711009	0.687453
p23489
sa(dp23490
g149
I00
sg156
V0.246540	0.433973
p23491
sa(dp23492
g149
I00
sg156
V0.926871	0.887255
p23493
sa(dp23494
g149
I00
sg156
V0.825141	0.940900
p23495
sa(dp23496
g149
I00
sg156
V0.847035	0.127464
p23497
sa(dp23498
g149
I00
sg156
V0.054348	0.296494
p23499
sa(dp23500
g149
I00
sg156
V0.838545	0.247025
p23501
sa(dp23502
g149
I00
sg156
V0.838697	0.436220
p23503
sa(dp23504
g149
I00
sg156
V0.309496	0.833591
p23505
sasg13
Nsg15
I3
sass(g1696
g23243
g23463
I3
tp23506
(dp23507
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat1", "Elements"}]
p23508
sg8
(lp23509
(dp23510
g11
(lp23511
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Header}\u005cright\u005c}
p23512
sg15
I4
sass(g1696
g23243
g23463
I4
tp23513
(dp23514
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat1", "Header"}]
p23515
sg8
(lp23516
(dp23517
g11
(lp23518
sg13
V\u005cleft\u005c{\u005ctext{Example File Format},\u005ctext{Created by Angus}\u005cright\u005c}
p23519
sg15
I5
sass(g1696
g23243
g23463
I5
tp23520
(dp23521
g6
VExampleFormat2DefaultImport[filename_String] := Module[{stream, head}, stream = OpenRead[filename]; head = ReadList[stream, String, 2]; Close[stream]; {"Header" -> head}]
p23522
sg8
(lp23523
(dp23524
g11
(lp23525
sg13
Nsg15
I6
sass(g1696
g23243
g23463
I6
tp23526
(dp23527
g6
VExampleFormat2DataImport[filename_String] := Module[{stream, data}, stream = OpenRead[filename]; Skip[stream, String, 2]; data = Partition[ReadList[stream, Number], 2]; Close[stream]; {"Data" -> data}]
p23528
sg8
(lp23529
(dp23530
g11
(lp23531
sg13
Nsg15
I7
sass(g1696
g23243
g23463
I7
tp23532
(dp23533
g6
VImportExport`RegisterImport["ExampleFormat2", {"Data" :> ExampleFormat2DataImport, ExampleFormat2DefaultImport}]
p23534
sg8
(lp23535
(dp23536
g11
(lp23537
sg13
Nsg15
I8
sass(g1696
g23243
g23463
I8
tp23538
(dp23539
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Elements"}]
p23540
sg8
(lp23541
(dp23542
g11
(lp23543
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Header}\u005cright\u005c}
p23544
sg15
I9
sass(g1696
g23243
g23463
I9
tp23545
(dp23546
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Header"}]
p23547
sg8
(lp23548
(dp23549
g11
(lp23550
sg13
V\u005cleft\u005c{\u005ctext{Example File Format},\u005ctext{Created by Angus}\u005cright\u005c}
p23551
sg15
I10
sass(g1696
g23243
g23463
I10
tp23552
(dp23553
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Data"}] // Grid
p23554
sg8
(lp23555
(dp23556
g11
(lp23557
sg13
V\u005cbegin{array}{cc} 0.629452 & 0.586355\u005c\u005c 0.711009 & 0.687453\u005c\u005c 0.24654 & 0.433973\u005c\u005c 0.926871 & 0.887255\u005c\u005c 0.825141 & 0.9409\u005c\u005c 0.847035 & 0.127464\u005c\u005c 0.054348 & 0.296494\u005c\u005c 0.838545 & 0.247025\u005c\u005c 0.838697 & 0.43622\u005c\u005c 0.309496 & 0.833591\u005cend{array}
p23558
sg15
I11
sass.