(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
I5
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
g2
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
g2
g1066
I11
tp1138
(dp1139
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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
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g11
(lp1155
sg13
g444
sg15
I14
sass(g1
g2
g1066
I14
tp1156
(dp1157
g6
Vb // TeXForm
p1158
sg8
(lp1159
(dp1160
g11
(lp1161
sg13
g444
sg15
I15
sass(g1
g2
g1066
I15
tp1162
(dp1163
g6
Vb // OutputForm // TeXForm
p1164
sg8
(lp1165
(dp1166
g11
(lp1167
sg13
g261
sg15
I16
sass(g1
g2
g1066
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tp1168
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VMakeBoxes[b, TeXForm] = "d";
p1170
sg8
(lp1171
(dp1172
g11
(lp1173
sg13
Nsg15
I17
sass(g1
g2
g1066
I17
tp1174
(dp1175
g6
Vb // TeXForm
p1176
sg8
(lp1177
(dp1178
g11
(lp1179
sg13
g519
sg15
I18
sass(g1
g2
g1066
I18
tp1180
(dp1181
g6
VMakeBoxes[c, MathMLForm] = "<not closed";
p1182
sg8
(lp1183
(dp1184
g11
(lp1185
sg13
Nsg15
I19
sass(g1
g2
g1066
I19
tp1186
(dp1187
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Vc // MathMLForm
p1188
sg8
(lp1189
(dp1190
g11
(lp1191
sg13
V\u005ctext{<not closed}
p1192
sg15
I20
sass(g1
g2
g1066
I20
tp1193
(dp1194
g6
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
sg15
I21
sass(g1
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VFormat[d, MathMLForm] = "<not closed";
p1202
sg8
(lp1203
(dp1204
g11
(lp1205
sg13
Nsg15
I22
sass(g1
g2
g1066
I22
tp1206
(dp1207
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Vd // MathMLForm
p1208
sg8
(lp1209
(dp1210
g11
(lp1211
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mtext>\u005c&lt;not\u005c&nbsp;closed</mtext></mstyle></math>}
p1212
sg15
I23
sass(g1
g2
g1066
I23
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(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
g2
g1066
I24
tp1220
(dp1221
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VMakeBoxes[{items___}, StandardForm] := RowBox[{"[", Sequence @@ Riffle[MakeBoxes /@ {items}, " "], "]"}]
p1222
sg8
(lp1223
(dp1224
g11
(lp1225
sg13
Nsg15
I25
sass(g1
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I25
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V{1, 2, 3}
p1228
sg8
(lp1229
(dp1230
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V\u005cleft[1 2 3\u005cright]
p1232
sg15
I26
sass(g1
g2
g1066
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
g1066
I29
tp1243
(dp1244
g6
VAttributes[MakeBoxes]
p1245
sg8
(lp1246
(dp1247
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(lp1248
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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
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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
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V\u005ctext{squared}\u005cleft[1,2\u005cright]^2
p1290
sg15
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sass(g1
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VToBoxes[m + n]
p1293
sg8
(lp1294
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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
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VInputForm[%]
p1300
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g11
(lp1303
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{"m"}, \u005ctext{"+"}, \u005ctext{"n"}\u005cright\u005c}\u005cright]
p1304
sg15
I35
sass(g1
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VGraphics
p1305
I0
tp1306
(dp1307
g6
VGraphics[{Circle[{0, 0}, 1]}]
p1308
sg8
(lp1309
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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
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sass(g1
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(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
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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
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VPlotting
p1373
I0
tp1374
(dp1375
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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
VAlgebraic Manipulation
p1697
VApart
p1698
I0
tp1699
(dp1700
g6
VApart[1 / (x^2 + 5x + 6)]
p1701
sg8
(lp1702
(dp1703
g11
(lp1704
sg13
V\u005cfrac{1}{2+x}-\u005cfrac{1}{3+x}
p1705
sg15
I1
sass(g1696
g1697
g1698
I1
tp1706
(dp1707
g6
VApart[1 / (x^2 - y^2), x]
p1708
sg8
(lp1709
(dp1710
g11
(lp1711
sg13
V-\u005cfrac{1}{2 y \u005cleft(x+y\u005cright)}+\u005cfrac{1}{2 y \u005cleft(x-y\u005cright)}
p1712
sg15
I2
sass(g1696
g1697
g1698
I2
tp1713
(dp1714
g6
VApart[1 / (x^2 - y^2), y]
p1715
sg8
(lp1716
(dp1717
g11
(lp1718
sg13
V\u005cfrac{1}{2 x \u005cleft(x+y\u005cright)}+\u005cfrac{1}{2 x \u005cleft(x-y\u005cright)}
p1719
sg15
I3
sass(g1696
g1697
g1698
I3
tp1720
(dp1721
g6
VApart[{1 / (x^2 + 5x + 6)}]
p1722
sg8
(lp1723
(dp1724
g11
(lp1725
sg13
V\u005cleft\u005c{\u005cfrac{1}{2+x}-\u005cfrac{1}{3+x}\u005cright\u005c}
p1726
sg15
I4
sass(g1696
g1697
g1698
I4
tp1727
(dp1728
g6
VSin[1 / (x ^ 2 - y ^ 2)] // Apart
p1729
sg8
(lp1730
(dp1731
g11
(lp1732
sg13
V\u005ctext{Sin}\u005cleft[\u005cfrac{1}{x^2-y^2}\u005cright]
p1733
sg15
I5
sass(g1696
g1697
VCancel
p1734
I0
tp1735
(dp1736
g6
VCancel[x / x ^ 2]
p1737
sg8
(lp1738
(dp1739
g11
(lp1740
sg13
V\u005cfrac{1}{x}
p1741
sg15
I1
sass(g1696
g1697
g1734
I1
tp1742
(dp1743
g6
VCancel[x / x ^ 2 + y / y ^ 2]
p1744
sg8
(lp1745
(dp1746
g11
(lp1747
sg13
V\u005cfrac{1}{x}+\u005cfrac{1}{y}
p1748
sg15
I2
sass(g1696
g1697
g1734
I2
tp1749
(dp1750
g6
VCancel[f[x] / x + x * f[x] / x ^ 2]
p1751
sg8
(lp1752
(dp1753
g11
(lp1754
sg13
V\u005cfrac{2 f\u005cleft[x\u005cright]}{x}
p1755
sg15
I3
sass(g1696
g1697
VCoefficient
p1756
I0
tp1757
(dp1758
g6
VCoefficient[(x + y)^4, (x^2) * (y^2)]
p1759
sg8
(lp1760
(dp1761
g11
(lp1762
sg13
V6
p1763
sg15
I1
sass(g1696
g1697
g1756
I1
tp1764
(dp1765
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, x]
p1766
sg8
(lp1767
(dp1768
g11
(lp1769
sg13
g444
sg15
I2
sass(g1696
g1697
g1756
I2
tp1770
(dp1771
g6
VCoefficient[(x + 3 y)^5, x]
p1772
sg8
(lp1773
(dp1774
g11
(lp1775
sg13
V405 y^4
p1776
sg15
I3
sass(g1696
g1697
g1756
I3
tp1777
(dp1778
g6
VCoefficient[(x + 3 y)^5, x * y^4]
p1779
sg8
(lp1780
(dp1781
g11
(lp1782
sg13
V405
p1783
sg15
I4
sass(g1696
g1697
g1756
I4
tp1784
(dp1785
g6
VCoefficient[(x + 2)/(y - 3) + (x + 3)/(y - 2), x]
p1786
sg8
(lp1787
(dp1788
g11
(lp1789
sg13
V\u005cfrac{1}{-3+y}+\u005cfrac{1}{-2+y}
p1790
sg15
I5
sass(g1696
g1697
g1756
I12
tp1791
(dp1792
g6
VCoefficient[x*Cos[x + 3] + 6*y, x]
p1793
sg8
(lp1794
(dp1795
g11
(lp1796
sg13
V\u005ctext{Cos}\u005cleft[3+x\u005cright]
p1797
sg15
I6
sass(g1696
g1697
g1756
I13
tp1798
(dp1799
g6
VCoefficient[(x + 1)^3, x, 2]
p1800
sg8
(lp1801
(dp1802
g11
(lp1803
sg13
V3
p1804
sg15
I7
sass(g1696
g1697
g1756
I14
tp1805
(dp1806
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, y, 3]
p1807
sg8
(lp1808
(dp1809
g11
(lp1810
sg13
g261
sg15
I8
sass(g1696
g1697
g1756
I15
tp1811
(dp1812
g6
VCoefficient[(x + 2)^3 + (x + 3)^2, x, 0]
p1813
sg8
(lp1814
(dp1815
g11
(lp1816
sg13
V17
p1817
sg15
I9
sass(g1696
g1697
g1756
I16
tp1818
(dp1819
g6
VCoefficient[(x + 2)^3 + (x + 3)^2, y, 0]
p1820
sg8
(lp1821
(dp1822
g11
(lp1823
sg13
V\u005cleft(2+x\u005cright)^3+\u005cleft(3+x\u005cright)^2
p1824
sg15
I10
sass(g1696
g1697
g1756
I17
tp1825
(dp1826
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, x, 0]
p1827
sg8
(lp1828
(dp1829
g11
(lp1830
sg13
V5+b y^3+d y
p1831
sg15
I11
sass(g1696
g1697
VCoefficientList
p1832
I0
tp1833
(dp1834
g6
VCoefficientList[(x + 3)^5, x]
p1835
sg8
(lp1836
(dp1837
g11
(lp1838
sg13
V\u005cleft\u005c{243,405,270,90,15,1\u005cright\u005c}
p1839
sg15
I1
sass(g1696
g1697
g1832
I1
tp1840
(dp1841
g6
VCoefficientList[(x + y)^4, x]
p1842
sg8
(lp1843
(dp1844
g11
(lp1845
sg13
V\u005cleft\u005c{y^4,4 y^3,6 y^2,4 y,1\u005cright\u005c}
p1846
sg15
I2
sass(g1696
g1697
g1832
I2
tp1847
(dp1848
g6
VCoefficientList[a x^2 + b y^3 + c x + d y + 5, x]
p1849
sg8
(lp1850
(dp1851
g11
(lp1852
sg13
V\u005cleft\u005c{5+b y^3+d y,c,a\u005cright\u005c}
p1853
sg15
I3
sass(g1696
g1697
g1832
I3
tp1854
(dp1855
g6
VCoefficientList[(x + 2)/(y - 3) + x/(y - 2), x]
p1856
sg8
(lp1857
(dp1858
g11
(lp1859
sg13
V\u005cleft\u005c{\u005cfrac{2}{-3+y},\u005cfrac{1}{-3+y}+\u005cfrac{1}{-2+y}\u005cright\u005c}
p1860
sg15
I4
sass(g1696
g1697
g1832
I4
tp1861
(dp1862
g6
VCoefficientList[(x + y)^3, z]
p1863
sg8
(lp1864
(dp1865
g11
(lp1866
sg13
V\u005cleft\u005c{\u005cleft(x+y\u005cright)^3\u005cright\u005c}
p1867
sg15
I5
sass(g1696
g1697
g1832
I12
tp1868
(dp1869
g6
VCoefficientList[a x^2 + b y^3 + c x + d y + 5, {x, y}]
p1870
sg8
(lp1871
(dp1872
g11
(lp1873
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}
p1874
sg15
I6
sass(g1696
g1697
g1832
I18
tp1875
(dp1876
g6
VCoefficientList[(x - 2 y + 3 z)^3, {x, y, z}]
p1877
sg8
(lp1878
(dp1879
g11
(lp1880
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}
p1881
sg15
I7
sass(g1696
g1697
VDenominator
p1882
I0
tp1883
(dp1884
g6
VDenominator[a / b]
p1885
sg8
(lp1886
(dp1887
g11
(lp1888
sg13
g261
sg15
I1
sass(g1696
g1697
g1882
I1
tp1889
(dp1890
g6
VDenominator[2 / 3]
p1891
sg8
(lp1892
(dp1893
g11
(lp1894
sg13
V3
p1895
sg15
I2
sass(g1696
g1697
g1882
I2
tp1896
(dp1897
g6
VDenominator[a + b]
p1898
sg8
(lp1899
(dp1900
g11
(lp1901
sg13
V1
p1902
sg15
I3
sass(g1696
g1697
VExpand
p1903
I0
tp1904
(dp1905
g6
VExpand[(x + y) ^ 3]
p1906
sg8
(lp1907
(dp1908
g11
(lp1909
sg13
Vx^3+3 x^2 y+3 x y^2+y^3
p1910
sg15
I1
sass(g1696
g1697
g1903
I1
tp1911
(dp1912
g6
VExpand[(a + b) (a + c + d)]
p1913
sg8
(lp1914
(dp1915
g11
(lp1916
sg13
Va^2+a b+a c+a d+b c+b d
p1917
sg15
I2
sass(g1696
g1697
g1903
I2
tp1918
(dp1919
g6
VExpand[(a + b) (a + c + d) (e + f) + e a a]
p1920
sg8
(lp1921
(dp1922
g11
(lp1923
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
p1924
sg15
I3
sass(g1696
g1697
g1903
I3
tp1925
(dp1926
g6
VExpand[(a + b) ^ 2 * (c + d)]
p1927
sg8
(lp1928
(dp1929
g11
(lp1930
sg13
Va^2 c+a^2 d+2 a b c+2 a b d+b^2 c+b^2 d
p1931
sg15
I4
sass(g1696
g1697
g1903
I4
tp1932
(dp1933
g6
VExpand[(x + y) ^ 2 + x y]
p1934
sg8
(lp1935
(dp1936
g11
(lp1937
sg13
Vx^2+3 x y+y^2
p1938
sg15
I5
sass(g1696
g1697
g1903
I5
tp1939
(dp1940
g6
VExpand[((a + b) (c + d)) ^ 2 + b (1 + a)]
p1941
sg8
(lp1942
(dp1943
g11
(lp1944
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
p1945
sg15
I6
sass(g1696
g1697
g1903
I6
tp1946
(dp1947
g6
VExpand[{4 (x + y), 2 (x + y) -> 4 (x + y)}]
p1948
sg8
(lp1949
(dp1950
g11
(lp1951
sg13
V\u005cleft\u005c{4 x+4 y,2 x+2 y->4 x+4 y\u005cright\u005c}
p1952
sg15
I7
sass(g1696
g1697
g1903
I7
tp1953
(dp1954
g6
VExpand[Sin[x + y], Trig -> True]
p1955
sg8
(lp1956
(dp1957
g11
(lp1958
sg13
V\u005ctext{Cos}\u005cleft[x\u005cright] \u005ctext{Sin}\u005cleft[y\u005cright]+\u005ctext{Cos}\u005cleft[y\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright]
p1959
sg15
I8
sass(g1696
g1697
g1903
I8
tp1960
(dp1961
g6
VExpand[Sin[x (1 + y)]]
p1962
sg8
(lp1963
(dp1964
g11
(lp1965
sg13
V\u005ctext{Sin}\u005cleft[x \u005cleft(1+y\u005cright)\u005cright]
p1966
sg15
I9
sass(g1696
g1697
g1903
I9
tp1967
(dp1968
g6
VExpand[(1 + a)^12, Modulus -> 3]
p1969
sg8
(lp1970
(dp1971
g11
(lp1972
sg13
V1+a^3+a^9+a^{12}
p1973
sg15
I10
sass(g1696
g1697
g1903
I10
tp1974
(dp1975
g6
VExpand[(1 + a)^12, Modulus -> 4]
p1976
sg8
(lp1977
(dp1978
g11
(lp1979
sg13
V1+2 a^2+3 a^4+3 a^8+2 a^{10}+a^{12}
p1980
sg15
I11
sass(g1696
g1697
VExpandAll
p1981
I0
tp1982
(dp1983
g6
VExpandAll[(a + b) ^ 2 / (c + d)^2]
p1984
sg8
(lp1985
(dp1986
g11
(lp1987
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}
p1988
sg15
I1
sass(g1696
g1697
g1981
I1
tp1989
(dp1990
g6
VExpandAll[(a + Sin[x (1 + y)])^2]
p1991
sg8
(lp1992
(dp1993
g11
(lp1994
sg13
V2 a \u005ctext{Sin}\u005cleft[x+x y\u005cright]+a^2+\u005ctext{Sin}\u005cleft[x+x y\u005cright]^2
p1995
sg15
I2
sass(g1696
g1697
g1981
I2
tp1996
(dp1997
g6
VExpandAll[((1 + x)(1 + y))[x]]
p1998
sg8
(lp1999
(dp2000
g11
(lp2001
sg13
V\u005cleft(1+x+y+x y\u005cright)\u005cleft[x\u005cright]
p2002
sg15
I3
sass(g1696
g1697
g1981
I3
tp2003
(dp2004
g6
VExpandAll[(1 + a) ^ 6 / (x + y)^3, Modulus -> 3]
p2005
sg8
(lp2006
(dp2007
g11
(lp2008
sg13
V\u005cfrac{1+2 a^3+a^6}{x^3+y^3}
p2009
sg15
I4
sass(g1696
g1697
VExpandDenominator
p2010
I0
tp2011
(dp2012
g6
VExpandDenominator[(a + b) ^ 2 / ((c + d)^2 (e + f))]
p2013
sg8
(lp2014
(dp2015
g11
(lp2016
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}
p2017
sg15
I1
sass(g1696
g1697
VExponent
p2018
I0
tp2019
(dp2020
g6
VExponent[5 x^2 - 3 x + 7, x]
p2021
sg8
(lp2022
(dp2023
g11
(lp2024
sg13
V2
p2025
sg15
I1
sass(g1696
g1697
g2018
I2
tp2026
(dp2027
g6
VExponent[(x^3 + 1)^2 + 1, x]
p2028
sg8
(lp2029
(dp2030
g11
(lp2031
sg13
V6
p2032
sg15
I2
sass(g1696
g1697
g2018
I5
tp2033
(dp2034
g6
VExponent[x^(n + 1) + Sqrt[x] + 1, x]
p2035
sg8
(lp2036
(dp2037
g11
(lp2038
sg13
V\u005ctext{Max}\u005cleft[\u005cfrac{1}{2},1+n\u005cright]
p2039
sg15
I3
sass(g1696
g1697
g2018
I9
tp2040
(dp2041
g6
VExponent[x / y, y]
p2042
sg8
(lp2043
(dp2044
g11
(lp2045
sg13
V-1
p2046
sg15
I4
sass(g1696
g1697
g2018
I10
tp2047
(dp2048
g6
VExponent[(x^2 + 1)^3 - 1, x, Min]
p2049
sg8
(lp2050
(dp2051
g11
(lp2052
sg13
V2
p2053
sg15
I5
sass(g1696
g1697
g2018
I12
tp2054
(dp2055
g6
VExponent[1 - 2 x^2 + a x^3, x, List]
p2056
sg8
(lp2057
(dp2058
g11
(lp2059
sg13
V\u005cleft\u005c{0,2,3\u005cright\u005c}
p2060
sg15
I6
sass(g1696
g1697
g2018
I23
tp2061
(dp2062
g6
VExponent[0, x]
p2063
sg8
(lp2064
(dp2065
g11
(lp2066
sg13
V-\u005cinfty 
p2067
sg15
I7
sass(g1696
g1697
g2018
I24
tp2068
(dp2069
g6
VExponent[1, x]
p2070
sg8
(lp2071
(dp2072
g11
(lp2073
sg13
V0
p2074
sg15
I8
sass(g1696
g1697
VFactor
p2075
I0
tp2076
(dp2077
g6
VFactor[x ^ 2 + 2 x + 1]
p2078
sg8
(lp2079
(dp2080
g11
(lp2081
sg13
V\u005cleft(1+x\u005cright)^2
p2082
sg15
I1
sass(g1696
g1697
g2075
I1
tp2083
(dp2084
g6
VFactor[1 / (x^2+2x+1) + 1 / (x^4+2x^2+1)]
p2085
sg8
(lp2086
(dp2087
g11
(lp2088
sg13
V\u005cfrac{2+2 x+3 x^2+x^4}{\u005cleft(1+x\u005cright)^2 {\u005cleft(1+x^2\u005cright)}^2}
p2089
sg15
I2
sass(g1696
g1697
VFactorTermsList
p2090
I0
tp2091
(dp2092
g6
VFactorTermsList[2 x^2 - 2]
p2093
sg8
(lp2094
(dp2095
g11
(lp2096
sg13
V\u005cleft\u005c{2,-1+x^2\u005cright\u005c}
p2097
sg15
I1
sass(g1696
g1697
g2090
I1
tp2098
(dp2099
g6
VFactorTermsList[x^2 - 2 x + 1]
p2100
sg8
(lp2101
(dp2102
g11
(lp2103
sg13
V\u005cleft\u005c{1,1-2 x+x^2\u005cright\u005c}
p2104
sg15
I2
sass(g1696
g1697
g2090
I3
tp2105
(dp2106
g6
Vf = 3 (-1 + 2 x) (-1 + y) (1 - a)
p2107
sg8
(lp2108
(dp2109
g11
(lp2110
sg13
V3 \u005cleft(-1+2 x\u005cright) \u005cleft(-1+y\u005cright) \u005cleft(1-a\u005cright)
p2111
sg15
I3
sass(g1696
g1697
g2090
I4
tp2112
(dp2113
g6
VFactorTermsList[f]
p2114
sg8
(lp2115
(dp2116
g11
(lp2117
sg13
V\u005cleft\u005c{-3,-1+a-2 a x-a y+2 x+y-2 x y+2 a x y\u005cright\u005c}
p2118
sg15
I4
sass(g1696
g1697
g2090
I5
tp2119
(dp2120
g6
VFactorTermsList[f, x]
p2121
sg8
(lp2122
(dp2123
g11
(lp2124
sg13
V\u005cleft\u005c{-3,1-a-y+a y,-1+2 x\u005cright\u005c}
p2125
sg15
I5
sass(g1696
g1697
g2090
I7
tp2126
(dp2127
g6
VFactorTermsList[f, {x, y}]
p2128
sg8
(lp2129
(dp2130
g11
(lp2131
sg13
V\u005cleft\u005c{-3,-1+a,-1+y,-1+2 x\u005cright\u005c}
p2132
sg15
I6
sass(g1696
g1697
VMinimalPolynomial
p2133
I0
tp2134
(dp2135
g6
VMinimalPolynomial[7, x]
p2136
sg8
(lp2137
(dp2138
g11
(lp2139
sg13
V-7+x
p2140
sg15
I1
sass(g1696
g1697
g2133
I1
tp2141
(dp2142
g6
VMinimalPolynomial[Sqrt[2] + Sqrt[3], x]
p2143
sg8
(lp2144
(dp2145
g11
(lp2146
sg13
V1-10 x^2+x^4
p2147
sg15
I2
sass(g1696
g1697
g2133
I2
tp2148
(dp2149
g6
VMinimalPolynomial[Sqrt[1 + Sqrt[3]], x]
p2150
sg8
(lp2151
(dp2152
g11
(lp2153
sg13
V-2-2 x^2+x^4
p2154
sg15
I3
sass(g1696
g1697
g2133
I3
tp2155
(dp2156
g6
VMinimalPolynomial[Sqrt[I + Sqrt[6]], x]
p2157
sg8
(lp2158
(dp2159
g11
(lp2160
sg13
V49-10 x^4+x^8
p2161
sg15
I4
sass(g1696
g1697
VNumerator
p2162
I0
tp2163
(dp2164
g6
VNumerator[a / b]
p2165
sg8
(lp2166
(dp2167
g11
(lp2168
sg13
g542
sg15
I1
sass(g1696
g1697
g2162
I1
tp2169
(dp2170
g6
VNumerator[2 / 3]
p2171
sg8
(lp2172
(dp2173
g11
(lp2174
sg13
V2
p2175
sg15
I2
sass(g1696
g1697
g2162
I2
tp2176
(dp2177
g6
VNumerator[a + b]
p2178
sg8
(lp2179
(dp2180
g11
(lp2181
sg13
Va+b
p2182
sg15
I3
sass(g1696
g1697
VPolynomialQ
p2183
I0
tp2184
(dp2185
g6
VPolynomialQ[x^3 - 2 x/y + 3xz, x]
p2186
sg8
(lp2187
(dp2188
g11
(lp2189
sg13
V\u005ctext{True}
p2190
sg15
I1
sass(g1696
g1697
g2183
I1
tp2191
(dp2192
g6
VPolynomialQ[x^3 - 2 x/y + 3xz, y]
p2193
sg8
(lp2194
(dp2195
g11
(lp2196
sg13
V\u005ctext{False}
p2197
sg15
I2
sass(g1696
g1697
g2183
I2
tp2198
(dp2199
g6
VPolynomialQ[f[a] + f[a]^2, f[a]]
p2200
sg8
(lp2201
(dp2202
g11
(lp2203
sg13
V\u005ctext{True}
p2204
sg15
I3
sass(g1696
g1697
g2183
I3
tp2205
(dp2206
g6
VPolynomialQ[x^2 + axy^2 - bSin[c], {x, y}]
p2207
sg8
(lp2208
(dp2209
g11
(lp2210
sg13
V\u005ctext{True}
p2211
sg15
I4
sass(g1696
g1697
g2183
I4
tp2212
(dp2213
g6
VPolynomialQ[x^2 + axy^2 - bSin[c], {a, b, c}]
p2214
sg8
(lp2215
(dp2216
g11
(lp2217
sg13
V\u005ctext{False}
p2218
sg15
I5
sass(g1696
g1697
VPowerExpand
p2219
I0
tp2220
(dp2221
g6
VPowerExpand[(a ^ b) ^ c]
p2222
sg8
(lp2223
(dp2224
g11
(lp2225
sg13
Va^{b c}
p2226
sg15
I1
sass(g1696
g1697
g2219
I1
tp2227
(dp2228
g6
VPowerExpand[(a * b) ^ c]
p2229
sg8
(lp2230
(dp2231
g11
(lp2232
sg13
Va^c b^c
p2233
sg15
I2
sass(g1696
g1697
g2219
I2
tp2234
(dp2235
g6
VPowerExpand[(x ^ 2) ^ (1/2)]
p2236
sg8
(lp2237
(dp2238
g11
(lp2239
sg13
g195
sg15
I3
sass(g1696
g1697
VSimplify
p2240
I0
tp2241
(dp2242
g6
VSimplify[2*Sin[x]^2 + 2*Cos[x]^2]
p2243
sg8
(lp2244
(dp2245
g11
(lp2246
sg13
V2
p2247
sg15
I1
sass(g1696
g1697
g2240
I1
tp2248
(dp2249
g6
VSimplify[x]
p2250
sg8
(lp2251
(dp2252
g11
(lp2253
sg13
g195
sg15
I2
sass(g1696
g1697
g2240
I2
tp2254
(dp2255
g6
VSimplify[f[x]]
p2256
sg8
(lp2257
(dp2258
g11
(lp2259
sg13
Vf\u005cleft[x\u005cright]
p2260
sg15
I3
sass(g1696
g1697
VTogether
p2261
I0
tp2262
(dp2263
g6
VTogether[a / c + b / c]
p2264
sg8
(lp2265
(dp2266
g11
(lp2267
sg13
V\u005cfrac{a+b}{c}
p2268
sg15
I1
sass(g1696
g1697
g2261
I1
tp2269
(dp2270
g6
VTogether[{x / (y+1) + x / (y+1)^2}]
p2271
sg8
(lp2272
(dp2273
g11
(lp2274
sg13
V\u005cleft\u005c{\u005cfrac{x \u005cleft(2+y\u005cright)}{\u005cleft(1+y\u005cright)^2}\u005cright\u005c}
p2275
sg15
I2
sass(g1696
g1697
g2261
I2
tp2276
(dp2277
g6
VTogether[f[a / c + b / c]]
p2278
sg8
(lp2279
(dp2280
g11
(lp2281
sg13
Vf\u005cleft[\u005cfrac{a}{c}+\u005cfrac{b}{c}\u005cright]
p2282
sg15
I3
sass(g1696
g1697
VVariables
p2283
I0
tp2284
(dp2285
g6
VVariables[a x^2 + b x + c]
p2286
sg8
(lp2287
(dp2288
g11
(lp2289
sg13
V\u005cleft\u005c{a,b,c,x\u005cright\u005c}
p2290
sg15
I1
sass(g1696
g1697
g2283
I1
tp2291
(dp2292
g6
VVariables[{a + b x, c y^2 + x/2}]
p2293
sg8
(lp2294
(dp2295
g11
(lp2296
sg13
V\u005cleft\u005c{a,b,c,x,y\u005cright\u005c}
p2297
sg15
I2
sass(g1696
g1697
g2283
I2
tp2298
(dp2299
g6
VVariables[x + Sin[y]]
p2300
sg8
(lp2301
(dp2302
g11
(lp2303
sg13
V\u005cleft\u005c{x,\u005ctext{Sin}\u005cleft[y\u005cright]\u005cright\u005c}
p2304
sg15
I3
sass(g1696
VMathematical Functions
p2305
VAbs
p2306
I0
tp2307
(dp2308
g6
VAbs[-3]
p2309
sg8
(lp2310
(dp2311
g11
(lp2312
sg13
V3
p2313
sg15
I1
sass(g1696
g2305
g2306
I1
tp2314
(dp2315
g6
VAbs[3 + I]
p2316
sg8
(lp2317
(dp2318
g11
(lp2319
sg13
V\u005csqrt{10}
p2320
sg15
I2
sass(g1696
g2305
g2306
I2
tp2321
(dp2322
g6
VAbs[3.0 + I]
p2323
sg8
(lp2324
(dp2325
g11
(lp2326
sg13
V3.16228
p2327
sg15
I3
sass(g1696
g2305
g2306
I3
tp2328
(dp2329
g6
VPlot[Abs[x], {x, -4, 4}]
p2330
sg8
(lp2331
(dp2332
g11
(lp2333
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
p2334
sg15
I4
sass(g1696
g2305
VBoole
p2335
I0
tp2336
(dp2337
g6
VBoole[2 == 2]
p2338
sg8
(lp2339
(dp2340
g11
(lp2341
sg13
V1
p2342
sg15
I1
sass(g1696
g2305
g2335
I1
tp2343
(dp2344
g6
VBoole[7 < 5]
p2345
sg8
(lp2346
(dp2347
g11
(lp2348
sg13
V0
p2349
sg15
I2
sass(g1696
g2305
g2335
I2
tp2350
(dp2351
g6
VBoole[a == 7]
p2352
sg8
(lp2353
(dp2354
g11
(lp2355
sg13
V\u005ctext{Boole}\u005cleft[a\u005ctext{==}7\u005cright]
p2356
sg15
I3
sass(g1696
g2305
VComplexInfinity
p2357
I0
tp2358
(dp2359
g6
V1 / ComplexInfinity
p2360
sg8
(lp2361
(dp2362
g11
(lp2363
sg13
V0
p2364
sg15
I1
sass(g1696
g2305
g2357
I1
tp2365
(dp2366
g6
VComplexInfinity * Infinity
p2367
sg8
(lp2368
(dp2369
g11
(lp2370
sg13
V\u005ctext{ComplexInfinity}
p2371
sg15
I2
sass(g1696
g2305
g2357
I2
tp2372
(dp2373
g6
VFullForm[ComplexInfinity]
p2374
sg8
(lp2375
(dp2376
g11
(lp2377
sg13
V\u005ctext{DirectedInfinity}\u005cleft[\u005cright]
p2378
sg15
I3
sass(g1696
g2305
VComplex
p2379
I0
tp2380
(dp2381
g6
VHead[2 + 3*I]
p2382
sg8
(lp2383
(dp2384
g11
(lp2385
sg13
V\u005ctext{Complex}
p2386
sg15
I1
sass(g1696
g2305
g2379
I1
tp2387
(dp2388
g6
VComplex[1, 2/3]
p2389
sg8
(lp2390
(dp2391
g11
(lp2392
sg13
V1+\u005cfrac{2 I}{3}
p2393
sg15
I2
sass(g1696
g2305
g2379
I2
tp2394
(dp2395
g6
VAbs[Complex[3, 4]]
p2396
sg8
(lp2397
(dp2398
g11
(lp2399
sg13
V5
p2400
sg15
I3
sass(g1696
g2305
VConjugate
p2401
I0
tp2402
(dp2403
g6
VConjugate[3 + 4 I]
p2404
sg8
(lp2405
(dp2406
g11
(lp2407
sg13
V3-4 I
p2408
sg15
I1
sass(g1696
g2305
g2401
I1
tp2409
(dp2410
g6
VConjugate[3]
p2411
sg8
(lp2412
(dp2413
g11
(lp2414
sg13
V3
p2415
sg15
I2
sass(g1696
g2305
g2401
I2
tp2416
(dp2417
g6
VConjugate[a + b * I]
p2418
sg8
(lp2419
(dp2420
g11
(lp2421
sg13
V\u005ctext{Conjugate}\u005cleft[a\u005cright]-I \u005ctext{Conjugate}\u005cleft[b\u005cright]
p2422
sg15
I3
sass(g1696
g2305
g2401
I3
tp2423
(dp2424
g6
VConjugate[{{1, 2 + I 4, a + I b}, {I}}]
p2425
sg8
(lp2426
(dp2427
g11
(lp2428
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}
p2429
sg15
I4
sass(g1696
g2305
g2401
I5
tp2430
(dp2431
g6
VConjugate[1.5 + 2.5 I]
p2432
sg8
(lp2433
(dp2434
g11
(lp2435
sg13
V1.5-2.5 I
p2436
sg15
I5
sass(g1696
g2305
VCubeRoot
p2437
I0
tp2438
(dp2439
g6
VCubeRoot[16]
p2440
sg8
(lp2441
(dp2442
g11
(lp2443
sg13
V2 2^{\u005cfrac{1}{3}}
p2444
sg15
I1
sass(g1696
g2305
VDirectedInfinity
p2445
I0
tp2446
(dp2447
g6
VDirectedInfinity[1]
p2448
sg8
(lp2449
(dp2450
g11
(lp2451
sg13
g165
sg15
I1
sass(g1696
g2305
g2445
I1
tp2452
(dp2453
g6
VDirectedInfinity[]
p2454
sg8
(lp2455
(dp2456
g11
(lp2457
sg13
V\u005ctext{ComplexInfinity}
p2458
sg15
I2
sass(g1696
g2305
g2445
I2
tp2459
(dp2460
g6
VDirectedInfinity[1 + I]
p2461
sg8
(lp2462
(dp2463
g11
(lp2464
sg13
V\u005cleft(\u005cfrac{1}{2}+\u005cfrac{I}{2}\u005cright) \u005csqrt{2} \u005cinfty 
p2465
sg15
I3
sass(g1696
g2305
g2445
I3
tp2466
(dp2467
g6
V1 / DirectedInfinity[1 + I]
p2468
sg8
(lp2469
(dp2470
g11
(lp2471
sg13
V0
p2472
sg15
I4
sass(g1696
g2305
g2445
I4
tp2473
(dp2474
g6
VDirectedInfinity[1] + DirectedInfinity[-1]
p2475
sg8
(lp2476
(dp2477
g11
(lp2478
(dp2479
g149
I01
sg150
VInfinity
p2480
sg152
Vindet
p2481
sg154
VInfinity::indet
p2482
sg156
VIndeterminate expression -Infinity + Infinity encountered.
p2483
sasg13
V\u005ctext{Indeterminate}
p2484
sg15
I5
sass(g1696
g2305
VDivide
p2485
I0
tp2486
(dp2487
g6
V30 / 5
p2488
sg8
(lp2489
(dp2490
g11
(lp2491
sg13
V6
p2492
sg15
I1
sass(g1696
g2305
g2485
I1
tp2493
(dp2494
g6
V1 / 8
p2495
sg8
(lp2496
(dp2497
g11
(lp2498
sg13
V\u005cfrac{1}{8}
p2499
sg15
I2
sass(g1696
g2305
g2485
I2
tp2500
(dp2501
g6
VPi / 4
p2502
sg8
(lp2503
(dp2504
g11
(lp2505
sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p2506
sg15
I3
sass(g1696
g2305
g2485
I3
tp2507
(dp2508
g6
VPi / 4.0
p2509
sg8
(lp2510
(dp2511
g11
(lp2512
sg13
V0.785398
p2513
sg15
I4
sass(g1696
g2305
g2485
I4
tp2514
(dp2515
g6
V1 / 8
p2516
sg8
(lp2517
(dp2518
g11
(lp2519
sg13
V\u005cfrac{1}{8}
p2520
sg15
I5
sass(g1696
g2305
g2485
I5
tp2521
(dp2522
g6
VN[%]
p2523
sg8
(lp2524
(dp2525
g11
(lp2526
sg13
V0.125
p2527
sg15
I6
sass(g1696
g2305
g2485
I6
tp2528
(dp2529
g6
Va / b / c
p2530
sg8
(lp2531
(dp2532
g11
(lp2533
sg13
V\u005cfrac{a}{b c}
p2534
sg15
I7
sass(g1696
g2305
g2485
I7
tp2535
(dp2536
g6
Va / (b / c)
p2537
sg8
(lp2538
(dp2539
g11
(lp2540
sg13
V\u005cfrac{a c}{b}
p2541
sg15
I8
sass(g1696
g2305
g2485
I8
tp2542
(dp2543
g6
Va / b / (c / (d / e))
p2544
sg8
(lp2545
(dp2546
g11
(lp2547
sg13
V\u005cfrac{a d}{b c e}
p2548
sg15
I9
sass(g1696
g2305
g2485
I9
tp2549
(dp2550
g6
Va / (b ^ 2 * c ^ 3 / e)
p2551
sg8
(lp2552
(dp2553
g11
(lp2554
sg13
V\u005cfrac{a e}{b^2 c^3}
p2555
sg15
I10
sass(g1696
g2305
VExactNumberQ
p2556
I0
tp2557
(dp2558
g6
VExactNumberQ[10]
p2559
sg8
(lp2560
(dp2561
g11
(lp2562
sg13
V\u005ctext{True}
p2563
sg15
I1
sass(g1696
g2305
g2556
I1
tp2564
(dp2565
g6
VExactNumberQ[4.0]
p2566
sg8
(lp2567
(dp2568
g11
(lp2569
sg13
V\u005ctext{False}
p2570
sg15
I2
sass(g1696
g2305
g2556
I2
tp2571
(dp2572
g6
VExactNumberQ[n]
p2573
sg8
(lp2574
(dp2575
g11
(lp2576
sg13
V\u005ctext{False}
p2577
sg15
I3
sass(g1696
g2305
g2556
I3
tp2578
(dp2579
g6
VExactNumberQ[1 + I]
p2580
sg8
(lp2581
(dp2582
g11
(lp2583
sg13
V\u005ctext{True}
p2584
sg15
I4
sass(g1696
g2305
g2556
I4
tp2585
(dp2586
g6
VExactNumberQ[1 + 1. I]
p2587
sg8
(lp2588
(dp2589
g11
(lp2590
sg13
V\u005ctext{False}
p2591
sg15
I5
sass(g1696
g2305
VFactorial
p2592
I0
tp2593
(dp2594
g6
V20!
p2595
sg8
(lp2596
(dp2597
g11
(lp2598
sg13
V2432902008176640000
p2599
sg15
I1
sass(g1696
g2305
g2592
I1
tp2600
(dp2601
g6
V10.5!
p2602
sg8
(lp2603
(dp2604
g11
(lp2605
sg13
V1.18994\u005ctimes 10^7
p2606
sg15
I2
sass(g1696
g2305
g2592
I2
tp2607
(dp2608
g6
V(-3.0+1.5*I)!
p2609
sg8
(lp2610
(dp2611
g11
(lp2612
sg13
V0.0427943-0.00461565 I
p2613
sg15
I3
sass(g1696
g2305
g2592
I3
tp2614
(dp2615
g6
V(-1.)!
p2616
sg8
(lp2617
(dp2618
g11
(lp2619
sg13
V\u005ctext{ComplexInfinity}
p2620
sg15
I4
sass(g1696
g2305
g2592
I4
tp2621
(dp2622
g6
V!a! //FullForm
p2623
sg8
(lp2624
(dp2625
g11
(lp2626
sg13
V\u005ctext{Not}\u005cleft[\u005ctext{Factorial}\u005cleft[a\u005cright]\u005cright]
p2627
sg15
I5
sass(g1696
g2305
VGamma
p2628
I0
tp2629
(dp2630
g6
VSimplify[Gamma[z] - (z - 1)!]
p2631
sg8
(lp2632
(dp2633
g11
(lp2634
sg13
V0
p2635
sg15
I1
sass(g1696
g2305
g2628
I1
tp2636
(dp2637
g6
VGamma[8]
p2638
sg8
(lp2639
(dp2640
g11
(lp2641
sg13
V5040
p2642
sg15
I2
sass(g1696
g2305
g2628
I2
tp2643
(dp2644
g6
VGamma[1/2]
p2645
sg8
(lp2646
(dp2647
g11
(lp2648
sg13
V\u005csqrt{\u005ctext{Pi}}
p2649
sg15
I3
sass(g1696
g2305
g2628
I3
tp2650
(dp2651
g6
VGamma[1, x]
p2652
sg8
(lp2653
(dp2654
g11
(lp2655
sg13
VE^{-x}
p2656
sg15
I4
sass(g1696
g2305
g2628
I4
tp2657
(dp2658
g6
VGamma[0, x]
p2659
sg8
(lp2660
(dp2661
g11
(lp2662
sg13
V\u005ctext{ExpIntegralE}\u005cleft[1,x\u005cright]
p2663
sg15
I5
sass(g1696
g2305
g2628
I5
tp2664
(dp2665
g6
VGamma[123.78]
p2666
sg8
(lp2667
(dp2668
g11
(lp2669
sg13
V4.21078\u005ctimes 10^{204}
p2670
sg15
I6
sass(g1696
g2305
g2628
I6
tp2671
(dp2672
g6
VGamma[1. + I]
p2673
sg8
(lp2674
(dp2675
g11
(lp2676
sg13
V0.498016-0.15495 I
p2677
sg15
I7
sass(g1696
g2305
g2628
I7
tp2678
(dp2679
g6
VPlot[{Gamma[x], x!}, {x, 0, 4}]
p2680
sg8
(lp2681
(dp2682
g11
(lp2683
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((7.1429,274.823)--(10.714,177.856)--(14.286,129.654)--(17.857,100.942)--(19.643,90.5677)--(21.429,81.9614)--(23.214,74.7139)--(25,68.5329)--(25.893,65.7731)--(26.786,63.2042)--(27.679,60.8077)--(28.571,58.5672)--(30.357,54.4993)--(32.143,50.9048)--(33.036,49.261)--(33.929,47.7086)--(34.821,46.2405)--(35.268,45.5361)--(35.714,44.8504)--(37.5,42.2816)--(38.393,41.0929)--(39.286,39.9622)--(40.179,38.8856)--(41.071,37.8595)--(41.964,36.8807)--(42.857,35.9461)--(43.75,35.053)--(44.643,34.1989)--(45.089,33.7858)--(45.536,33.3815)--(46.429,32.5987)--(47.321,31.8484)--(47.768,31.4848)--(48.214,31.1288)--(49.107,30.4382)--(49.554,30.1033)--(50,29.7751)--(50.893,29.138)--(51.786,28.5255)--(52.232,28.228)--(52.679,27.9363)--(53.571,27.3693)--(54.464,26.8234)--(54.911,26.558)--(55.357,26.2975)--(56.25,25.7907)--(56.696,25.5442)--(56.92,25.4226)--(57.143,25.3021)--(58.036,24.8307)--(58.929,24.3759)--(59.821,23.9368)--(60.714,23.5128)--(61.607,23.1032)--(62.054,22.9036)--(62.5,22.7074)--(63.393,22.3247)--(63.839,22.1382)--(64.062,22.046)--(64.286,21.9547)--(65.179,21.5968)--(66.071,21.2505)--(66.964,20.9153)--(67.857,20.5908)--(68.75,20.2767)--(69.196,20.1233)--(69.643,19.9723)--(70.536,19.6775)--(70.982,19.5336)--(71.205,19.4625)--(71.429,19.3919)--(72.321,19.115)--(73.214,18.8466)--(74.107,18.5864)--(75,18.3341)--(75.893,18.0894)--(76.339,17.9698)--(76.786,17.852)--(77.679,17.6217)--(78.125,17.5091)--(78.348,17.4535)--(78.571,17.3983)--(79.464,17.1814)--(80.357,16.971)--(81.25,16.7667)--(82.143,16.5685)--(83.036,16.376)--(83.482,16.2819)--(83.929,16.1892)--(84.821,16.0078)--(85.268,15.9191)--(85.714,15.8317)--(86.607,15.6607)--(87.5,15.4947)--(87.946,15.4135)--(88.393,15.3335)--(89.286,15.1769)--(90.179,15.0249)--(90.625,14.9506)--(91.071,14.8774)--(91.964,14.7341)--(92.411,14.664)--(92.857,14.595)--(93.75,14.4599)--(94.643,14.3288)--(95.089,14.2647)--(95.536,14.2016)--(96.429,14.0781)--(97.321,13.9582)--(98.214,13.8419)--(99.107,13.7291)--(100,13.6196)--(101.79,13.4105)--(102.68,13.3108)--(103.57,13.214)--(104.46,13.1203)--(105.36,13.0295)--(106.25,12.9416)--(107.14,12.8565)--(108.93,12.6944)--(109.82,12.6173)--(110.71,12.5427)--(111.61,12.4707)--(112.5,12.4012)--(113.39,12.3341)--(114.29,12.2693)--(116.07,12.1468)--(117.86,12.0332)--(119.64,11.9282)--(120.54,11.8788)--(121.43,11.8315)--(123.21,11.7429)--(125,11.6621)--(126.79,11.5888)--(127.68,11.555)--(128.57,11.5229)--(130.36,11.4641)--(132.14,11.4122)--(133.93,11.367)--(134.82,11.3469)--(135.71,11.3285)--(137.5,11.2963)--(139.29,11.2704)--(141.07,11.2507)--(141.96,11.2431)--(142.86,11.237)--(144.64,11.2292)--(146.43,11.2271)--(148.21,11.2308)--(150,11.2401)--(153.57,11.2753)--(155.36,11.3009)--(157.14,11.332)--(160.71,11.4098)--(162.5,11.4565)--(164.29,11.5084)--(167.86,11.6276)--(169.64,11.6948)--(171.43,11.7671)--(175,11.9269)--(176.79,12.0143)--(178.57,12.1069)--(182.14,12.3072)--(183.93,12.415)--(185.71,12.5279)--(189.29,12.7692)--(191.07,12.8977)--(192.86,13.0314)--(196.43,13.3147)--(198.21,13.4645)--(200,13.6196)--(203.57,13.9465)--(205.36,14.1183)--(207.14,14.2958)--(210.71,14.6682)--(212.5,14.8632)--(214.29,15.0642)--(217.86,15.4846)--(219.64,15.7041)--(221.43,15.93)--(225,16.4013)--(226.79,16.647)--(228.57,16.8994)--(232.14,17.4252)--(233.93,17.6988)--(235.71,17.9797)--(239.29,18.5639)--(241.07,18.8676)--(241.96,19.0224)--(242.86,19.1792)--(244.64,19.4988)--(246.43,19.8266)--(248.21,20.1629)--(249.11,20.3342)--(250,20.5076)--(251.79,20.8611)--(253.57,21.2235)--(255.36,21.595)--(256.25,21.7843)--(257.14,21.9758)--(258.93,22.3662)--(260.71,22.7662)--(262.5,23.1761)--(263.39,23.3849)--(264.29,23.5963)--(266.07,24.0267)--(267.86,24.4678)--(269.64,24.9197)--(270.54,25.1499)--(271.43,25.3828)--(273.21,25.8571)--(275,26.3431)--(276.79,26.841)--(277.68,27.0945)--(278.57,27.3511)--(280.36,27.8736)--(282.14,28.4088)--(283.93,28.9572)--(284.82,29.2363)--(285.71,29.5188)--(287.5,30.0942)--(289.29,30.6836)--(291.07,31.2873)--(291.96,31.5947)--(292.86,31.9058)--(294.64,32.5393)--(296.43,33.1883)--(298.21,33.8531)--(300,34.5341)--(303.57,35.9465)--(305.36,36.6786)--(307.14,37.4287)--(310.71,38.9844)--(312.5,39.791)--(314.29,40.6174)--(317.86,42.3318)--(319.64,43.2207)--(321.43,44.1316)--(325,46.0215)--(326.79,47.0017)--(328.57,48.0063)--(332.14,50.0909)--(333.93,51.1723)--(335.71,52.2808)--(339.29,54.5815)--(341.07,55.7754)--(342.86,56.9992)--(346.43,59.5402)--(348.21,60.8591)--(350,62.2113)--(353.57,65.0196)--(355.36,66.4775)--(357.14,67.9726)--(360.71,71.0786)--(362.5,72.6915)--(364.29,74.3459)--(367.86,77.7837)--(369.64,79.5695)--(371.43,81.4015)--(375,85.2096)--(378.57,89.2188)--(382.14,93.4406)--(385.71,97.8871)--(389.29,102.571)--(392.86,107.507)--(400,118.192), 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
p2684
sg15
I8
sass(g1696
g2305
VHarmonicNumber
p2685
I0
tp2686
(dp2687
g6
VTable[HarmonicNumber[n], {n, 8}]
p2688
sg8
(lp2689
(dp2690
g11
(lp2691
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}
p2692
sg15
I1
sass(g1696
g2305
g2685
I1
tp2693
(dp2694
g6
VHarmonicNumber[3.8]
p2695
sg8
(lp2696
(dp2697
g11
(lp2698
sg13
V2.03806
p2699
sg15
I2
sass(g1696
g2305
VI
p2700
I0
tp2701
(dp2702
g6
VI^2
p2703
sg8
(lp2704
(dp2705
g11
(lp2706
sg13
V-1
p2707
sg15
I1
sass(g1696
g2305
g2700
I1
tp2708
(dp2709
g6
V(3+I)*(3-I)
p2710
sg8
(lp2711
(dp2712
g11
(lp2713
sg13
V10
p2714
sg15
I2
sass(g1696
g2305
VIm
p2715
I0
tp2716
(dp2717
g6
VIm[3+4I]
p2718
sg8
(lp2719
(dp2720
g11
(lp2721
sg13
V4
p2722
sg15
I1
sass(g1696
g2305
g2715
I1
tp2723
(dp2724
g6
VPlot[{Sin[a], Im[E^(I a)]}, {a, 0, 2 Pi}]
p2725
sg8
(lp2726
(dp2727
g11
(lp2728
sg13
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0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p2729
sg15
I2
sass(g1696
g2305
VIndeterminate
p2730
I0
tp2731
(dp2732
g6
V0^0
p2733
sg8
(lp2734
(dp2735
g11
(lp2736
(dp2737
g149
I01
sg150
VPower
p2738
sg152
g174
sg154
VPower::indet
p2739
sg156
VIndeterminate expression 0 ^ 0 encountered.
p2740
sasg13
V\u005ctext{Indeterminate}
p2741
sg15
I1
sass(g1696
g2305
g2730
I1
tp2742
(dp2743
g6
VTan[Indeterminate]
p2744
sg8
(lp2745
(dp2746
g11
(lp2747
sg13
V\u005ctext{Indeterminate}
p2748
sg15
I2
sass(g1696
g2305
VInexactNumberQ
p2749
I0
tp2750
(dp2751
g6
VInexactNumberQ[a]
p2752
sg8
(lp2753
(dp2754
g11
(lp2755
sg13
V\u005ctext{False}
p2756
sg15
I1
sass(g1696
g2305
g2749
I1
tp2757
(dp2758
g6
VInexactNumberQ[3.0]
p2759
sg8
(lp2760
(dp2761
g11
(lp2762
sg13
V\u005ctext{True}
p2763
sg15
I2
sass(g1696
g2305
g2749
I2
tp2764
(dp2765
g6
VInexactNumberQ[2/3]
p2766
sg8
(lp2767
(dp2768
g11
(lp2769
sg13
V\u005ctext{False}
p2770
sg15
I3
sass(g1696
g2305
g2749
I3
tp2771
(dp2772
g6
VInexactNumberQ[4.0+I]
p2773
sg8
(lp2774
(dp2775
g11
(lp2776
sg13
V\u005ctext{True}
p2777
sg15
I4
sass(g1696
g2305
VInfinity
p2778
I0
tp2779
(dp2780
g6
V1 / Infinity
p2781
sg8
(lp2782
(dp2783
g11
(lp2784
sg13
V0
p2785
sg15
I1
sass(g1696
g2305
g2778
I1
tp2786
(dp2787
g6
VInfinity + 100
p2788
sg8
(lp2789
(dp2790
g11
(lp2791
sg13
g165
sg15
I2
sass(g1696
g2305
g2778
I2
tp2792
(dp2793
g6
VSum[1/x^2, {x, 1, Infinity}]
p2794
sg8
(lp2795
(dp2796
g11
(lp2797
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p2798
sg15
I3
sass(g1696
g2305
VIntegerQ
p2799
I0
tp2800
(dp2801
g6
VIntegerQ[3]
p2802
sg8
(lp2803
(dp2804
g11
(lp2805
sg13
V\u005ctext{True}
p2806
sg15
I1
sass(g1696
g2305
g2799
I1
tp2807
(dp2808
g6
VIntegerQ[Pi]
p2809
sg8
(lp2810
(dp2811
g11
(lp2812
sg13
V\u005ctext{False}
p2813
sg15
I2
sass(g1696
g2305
VInteger
p2814
I0
tp2815
(dp2816
g6
VHead[5]
p2817
sg8
(lp2818
(dp2819
g11
(lp2820
sg13
V\u005ctext{Integer}
p2821
sg15
I1
sass(g1696
g2305
VMachineNumberQ
p2822
I0
tp2823
(dp2824
g6
VMachineNumberQ[3.14159265358979324]
p2825
sg8
(lp2826
(dp2827
g11
(lp2828
sg13
V\u005ctext{False}
p2829
sg15
I1
sass(g1696
g2305
g2822
I1
tp2830
(dp2831
g6
VMachineNumberQ[1.5 + 2.3 I]
p2832
sg8
(lp2833
(dp2834
g11
(lp2835
sg13
V\u005ctext{True}
p2836
sg15
I2
sass(g1696
g2305
g2822
I2
tp2837
(dp2838
g6
VMachineNumberQ[2.71828182845904524 + 3.14159265358979324 I]
p2839
sg8
(lp2840
(dp2841
g11
(lp2842
sg13
V\u005ctext{False}
p2843
sg15
I3
sass(g1696
g2305
VMinus
p2844
I0
tp2845
(dp2846
g6
V-a //FullForm
p2847
sg8
(lp2848
(dp2849
g11
(lp2850
sg13
V\u005ctext{Times}\u005cleft[-1, a\u005cright]
p2851
sg15
I1
sass(g1696
g2305
g2844
I1
tp2852
(dp2853
g6
V-(x - 2/3)
p2854
sg8
(lp2855
(dp2856
g11
(lp2857
sg13
V\u005cfrac{2}{3}-x
p2858
sg15
I2
sass(g1696
g2305
g2844
I2
tp2859
(dp2860
g6
V-Range[10]
p2861
sg8
(lp2862
(dp2863
g11
(lp2864
sg13
V\u005cleft\u005c{-1,-2,-3,-4,-5,-6,-7,-8,-9,-10\u005cright\u005c}
p2865
sg15
I3
sass(g1696
g2305
VNumberQ
p2866
I0
tp2867
(dp2868
g6
VNumberQ[3+I]
p2869
sg8
(lp2870
(dp2871
g11
(lp2872
sg13
V\u005ctext{True}
p2873
sg15
I1
sass(g1696
g2305
g2866
I1
tp2874
(dp2875
g6
VNumberQ[5!]
p2876
sg8
(lp2877
(dp2878
g11
(lp2879
sg13
V\u005ctext{True}
p2880
sg15
I2
sass(g1696
g2305
g2866
I2
tp2881
(dp2882
g6
VNumberQ[Pi]
p2883
sg8
(lp2884
(dp2885
g11
(lp2886
sg13
V\u005ctext{False}
p2887
sg15
I3
sass(g1696
g2305
VPiecewise
p2888
I0
tp2889
(dp2890
g6
VPiecewise[{{0, x <= 0}}, 1]
p2891
sg8
(lp2892
(dp2893
g11
(lp2894
sg13
V\u005ctext{Piecewise}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{0,x\u005ctext{<=}0\u005cright\u005c}\u005cright\u005c},1\u005cright]
p2895
sg15
I1
sass(g1696
g2305
g2888
I1
tp2896
(dp2897
g6
VIntegrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], x]
p2898
sg8
(lp2899
(dp2900
g11
(lp2901
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]
p2902
sg15
I2
sass(g1696
g2305
g2888
I2
tp2903
(dp2904
g6
VIntegrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], {x, -1, 2}]
p2905
sg8
(lp2906
(dp2907
g11
(lp2908
sg13
V-1
p2909
sg15
I3
sass(g1696
g2305
g2888
I3
tp2910
(dp2911
g6
VPiecewise[{{1, False}}]
p2912
sg8
(lp2913
(dp2914
g11
(lp2915
sg13
V0
p2916
sg15
I4
sass(g1696
g2305
g2888
I4
tp2917
(dp2918
g6
VPlot[Piecewise[{{Log[x], x > 0}, {x*-0.5, x < 0}}], {x, -1, 1}]
p2919
sg8
(lp2920
(dp2921
g11
(lp2922
sg13
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sg15
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g2888
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tp2924
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g6
VPiecewise[{{0 ^ 0, False}}, -1]
p2926
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g11
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sg13
V-1
p2930
sg15
I6
sass(g1696
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VPlus
p2931
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tp2932
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g6
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p2934
sg8
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g11
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sg13
V3
p2938
sg15
I1
sass(g1696
g2305
g2931
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tp2939
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g6
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p2941
sg8
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g11
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sg13
V2 a+b
p2945
sg15
I2
sass(g1696
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g2931
I2
tp2946
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g6
Va + a + 3 * a
p2948
sg8
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g11
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sg13
V5 a
p2952
sg15
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sass(g1696
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I3
tp2953
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Va + b + 4.5 + a + b + a + 2 + 1.5 b
p2955
sg8
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V6.5+3 a+3.5 b
p2959
sg15
I4
sass(g1696
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g2931
I4
tp2960
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g6
VPlus @@ {2, 4, 6}
p2962
sg8
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g11
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sg13
V12
p2966
sg15
I5
sass(g1696
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tp2967
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p2969
sg8
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g11
(lp2972
sg13
V500500
p2973
sg15
I6
sass(g1696
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g2931
I6
tp2974
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p2976
sg8
(lp2977
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g11
(lp2979
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Plus}\u005cright]\u005cright]\u005ctext{:>}0\u005cright\u005c}
p2980
sg15
I7
sass(g1696
g2305
g2931
I7
tp2981
(dp2982
g6
Va /. n_. + x_ :> {n, x}
p2983
sg8
(lp2984
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g11
(lp2986
sg13
V\u005cleft\u005c{0,a\u005cright\u005c}
p2987
sg15
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sass(g1696
g2305
g2931
I8
tp2988
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g6
V2 Graphics[{Red,Disk[]}] + 3 Graphics[{Red,Disk[]}]
p2990
sg8
(lp2991
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g11
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sg13
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p2994
sg15
I9
sass(g1696
g2305
VPochhammer
p2995
I0
tp2996
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g6
VPochhammer[4, 8]
p2998
sg8
(lp2999
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g11
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sg13
V6652800
p3002
sg15
I1
sass(g1696
g2305
VPower
p3003
I0
tp3004
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g6
V4 ^ (1/2)
p3006
sg8
(lp3007
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g11
(lp3009
sg13
V2
p3010
sg15
I1
sass(g1696
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g3003
I1
tp3011
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g6
V4 ^ (1/3)
p3013
sg8
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g11
(lp3016
sg13
V2^{\u005cfrac{2}{3}}
p3017
sg15
I2
sass(g1696
g2305
g3003
I2
tp3018
(dp3019
g6
V3^123
p3020
sg8
(lp3021
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g11
(lp3023
sg13
V48519278097689642681155855396759336072749841943521979872827
p3024
sg15
I3
sass(g1696
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g3003
I3
tp3025
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g6
V(y ^ 2) ^ (1/2)
p3027
sg8
(lp3028
(dp3029
g11
(lp3030
sg13
V\u005csqrt{y^2}
p3031
sg15
I4
sass(g1696
g2305
g3003
I4
tp3032
(dp3033
g6
V(y ^ 2) ^ 3
p3034
sg8
(lp3035
(dp3036
g11
(lp3037
sg13
Vy^6
p3038
sg15
I5
sass(g1696
g2305
g3003
I5
tp3039
(dp3040
g6
VPlot[Evaluate[Table[x^y, {y, 1, 5}]], {x, -1.5, 1.5}, AspectRatio -> 1]
p3041
sg8
(lp3042
(dp3043
g11
(lp3044
sg13
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(172.33333333333334,51.85618024624005), (-1,0), rgb(0, 0, 0));\u000alabel("$-1$", (172.33333333333334,103.04726069574367), (-1,0), rgb(0, 0, 0));\u000alabel("$1$", (172.33333333333334,205.42942159475095), (-1,0), rgb(0, 0, 0));\u000alabel("$2$", (172.33333333333334,256.6205020442546), (-1,0), rgb(0, 0, 0));\u000alabel("$3$", (172.33333333333334,307.8115824937582), (-1,0), rgb(0, 0, 0));\u000adraw((175,0.6651)--(181.67,0.6651), rgb(0, 0, 0)+linewidth(0.66667));draw((175,51.8562)--(181.67,51.8562), rgb(0, 0, 0)+linewidth(0.66667));draw((175,103.047)--(181.67,103.047), rgb(0, 0, 0)+linewidth(0.66667));draw((175,205.429)--(181.67,205.429), rgb(0, 0, 0)+linewidth(0.66667));draw((175,256.621)--(181.67,256.621), rgb(0, 0, 0)+linewidth(0.66667));draw((175,307.812)--(181.67,307.812), rgb(0, 0, 0)+linewidth(0.66667));draw((175,10.9033)--(179,10.9033), rgb(0, 0, 0)+linewidth(0.66667));draw((175,21.1415)--(179,21.1415), rgb(0, 0, 0)+linewidth(0.66667));draw((175,31.3797)--(179,31.3797), rgb(0, 0, 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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
p3045
sg15
I6
sass(g1696
g2305
g3003
I6
tp3046
(dp3047
g6
V4.0 ^ (1/3)
p3048
sg8
(lp3049
(dp3050
g11
(lp3051
sg13
V1.5874
p3052
sg15
I7
sass(g1696
g2305
g3003
I7
tp3053
(dp3054
g6
VDefaultValues[Power]
p3055
sg8
(lp3056
(dp3057
g11
(lp3058
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Power},2\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p3059
sg15
I8
sass(g1696
g2305
g3003
I8
tp3060
(dp3061
g6
Va /. x_ ^ n_. :> {x, n}
p3062
sg8
(lp3063
(dp3064
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, 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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
p3172
sg15
I2
sass(g1696
g2305
VRealNumberQ
p3173
I0
tp3174
(dp3175
g6
VRealNumberQ[10]
p3176
sg8
(lp3177
(dp3178
g11
(lp3179
sg13
V\u005ctext{True}
p3180
sg15
I1
sass(g1696
g2305
g3173
I1
tp3181
(dp3182
g6
VRealNumberQ[4.0]
p3183
sg8
(lp3184
(dp3185
g11
(lp3186
sg13
V\u005ctext{True}
p3187
sg15
I2
sass(g1696
g2305
g3173
I2
tp3188
(dp3189
g6
VRealNumberQ[1+I]
p3190
sg8
(lp3191
(dp3192
g11
(lp3193
sg13
V\u005ctext{False}
p3194
sg15
I3
sass(g1696
g2305
g3173
I3
tp3195
(dp3196
g6
VRealNumberQ[0 * I]
p3197
sg8
(lp3198
(dp3199
g11
(lp3200
sg13
V\u005ctext{True}
p3201
sg15
I4
sass(g1696
g2305
g3173
I4
tp3202
(dp3203
g6
VRealNumberQ[0.0 * I]
p3204
sg8
(lp3205
(dp3206
g11
(lp3207
sg13
V\u005ctext{False}
p3208
sg15
I5
sass(g1696
g2305
VReal
p3209
I0
tp3210
(dp3211
g6
Vx = 3. ^ -20;
p3212
sg8
(lp3213
(dp3214
g11
(lp3215
sg13
Nsg15
I1
sass(g1696
g2305
g3209
I1
tp3216
(dp3217
g6
VInputForm[x]
p3218
sg8
(lp3219
(dp3220
g11
(lp3221
sg13
V2.8679719907924413\u005ctext{*${}^{\u005cwedge}$}-10
p3222
sg15
I2
sass(g1696
g2305
g3209
I2
tp3223
(dp3224
g6
VHead[x]
p3225
sg8
(lp3226
(dp3227
g11
(lp3228
sg13
V\u005ctext{Real}
p3229
sg15
I3
sass(g1696
g2305
VSign
p3230
I0
tp3231
(dp3232
g6
VSign[19]
p3233
sg8
(lp3234
(dp3235
g11
(lp3236
sg13
V1
p3237
sg15
I1
sass(g1696
g2305
g3230
I1
tp3238
(dp3239
g6
VSign[-6]
p3240
sg8
(lp3241
(dp3242
g11
(lp3243
sg13
V-1
p3244
sg15
I2
sass(g1696
g2305
g3230
I2
tp3245
(dp3246
g6
VSign[0]
p3247
sg8
(lp3248
(dp3249
g11
(lp3250
sg13
V0
p3251
sg15
I3
sass(g1696
g2305
g3230
I3
tp3252
(dp3253
g6
VSign[{-5, -10, 15, 20, 0}]
p3254
sg8
(lp3255
(dp3256
g11
(lp3257
sg13
V\u005cleft\u005c{-1,-1,1,1,0\u005cright\u005c}
p3258
sg15
I4
sass(g1696
g2305
g3230
I5
tp3259
(dp3260
g6
VSign[3 - 4*I]
p3261
sg8
(lp3262
(dp3263
g11
(lp3264
sg13
V\u005cfrac{3}{5}-\u005cfrac{4 I}{5}
p3265
sg15
I5
sass(g1696
g2305
VSqrt
p3266
I0
tp3267
(dp3268
g6
VSqrt[4]
p3269
sg8
(lp3270
(dp3271
g11
(lp3272
sg13
V2
p3273
sg15
I1
sass(g1696
g2305
g3266
I1
tp3274
(dp3275
g6
VSqrt[5]
p3276
sg8
(lp3277
(dp3278
g11
(lp3279
sg13
V\u005csqrt{5}
p3280
sg15
I2
sass(g1696
g2305
g3266
I2
tp3281
(dp3282
g6
VSqrt[5] // N
p3283
sg8
(lp3284
(dp3285
g11
(lp3286
sg13
V2.23607
p3287
sg15
I3
sass(g1696
g2305
g3266
I3
tp3288
(dp3289
g6
VSqrt[a]^2
p3290
sg8
(lp3291
(dp3292
g11
(lp3293
sg13
g542
sg15
I4
sass(g1696
g2305
g3266
I4
tp3294
(dp3295
g6
VSqrt[-4]
p3296
sg8
(lp3297
(dp3298
g11
(lp3299
sg13
V2 I
p3300
sg15
I5
sass(g1696
g2305
g3266
I5
tp3301
(dp3302
g6
VI == Sqrt[-1]
p3303
sg8
(lp3304
(dp3305
g11
(lp3306
sg13
V\u005ctext{True}
p3307
sg15
I6
sass(g1696
g2305
g3266
I6
tp3308
(dp3309
g6
VPlot[Sqrt[a^2], {a, -2, 2}]
p3310
sg8
(lp3311
(dp3312
g11
(lp3313
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("$-2$", (0.0,8.570314946967784), (0,-1), rgb(0, 0, 0));\u000alabel("$-1$", (100.0,8.570314946967784), (0,-1), rgb(0, 0, 0));\u000alabel("$1$", (300.0,8.570314946967784), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (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((20,11.237)--(20,15.237), rgb(0, 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("$0.5$", (197.33333333333334,67.4218896818067), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (197.33333333333334,123.60679774997895), (-1,0), rgb(0, 0, 0));\u000alabel("$1.5$", (197.33333333333334,179.7917058181512), (-1,0), rgb(0, 0, 0));\u000alabel("$2.0$", (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
p3314
sg15
I7
sass(g1696
g2305
VSubtract
p3315
I0
tp3316
(dp3317
g6
V5 - 3
p3318
sg8
(lp3319
(dp3320
g11
(lp3321
sg13
V2
p3322
sg15
I1
sass(g1696
g2305
g3315
I1
tp3323
(dp3324
g6
Va - b // FullForm
p3325
sg8
(lp3326
(dp3327
g11
(lp3328
sg13
V\u005ctext{Plus}\u005cleft[a, \u005ctext{Times}\u005cleft[-1, b\u005cright]\u005cright]
p3329
sg15
I2
sass(g1696
g2305
g3315
I2
tp3330
(dp3331
g6
Va - b - c
p3332
sg8
(lp3333
(dp3334
g11
(lp3335
sg13
Va-b-c
p3336
sg15
I3
sass(g1696
g2305
g3315
I3
tp3337
(dp3338
g6
Va - (b - c)
p3339
sg8
(lp3340
(dp3341
g11
(lp3342
sg13
Va-b+c
p3343
sg15
I4
sass(g1696
g2305
VSum
p3344
I0
tp3345
(dp3346
g6
VSum[k, {k, 1, 10}]
p3347
sg8
(lp3348
(dp3349
g11
(lp3350
sg13
V55
p3351
sg15
I1
sass(g1696
g2305
g3344
I1
tp3352
(dp3353
g6
VSum[i * j, {i, 1, 10}, {j, 1, 10}]
p3354
sg8
(lp3355
(dp3356
g11
(lp3357
sg13
V3025
p3358
sg15
I2
sass(g1696
g2305
g3344
I2
tp3359
(dp3360
g6
VSum[k, {k, 1, n}]
p3361
sg8
(lp3362
(dp3363
g11
(lp3364
sg13
V\u005cfrac{n \u005cleft(1+n\u005cright)}{2}
p3365
sg15
I3
sass(g1696
g2305
g3344
I3
tp3366
(dp3367
g6
VSum[k, {k, n, 2 n}]
p3368
sg8
(lp3369
(dp3370
g11
(lp3371
sg13
V\u005cfrac{3 n \u005cleft(1+n\u005cright)}{2}
p3372
sg15
I4
sass(g1696
g2305
g3344
I4
tp3373
(dp3374
g6
VSum[k, {k, I, I + 1}]
p3375
sg8
(lp3376
(dp3377
g11
(lp3378
sg13
V1+2 I
p3379
sg15
I5
sass(g1696
g2305
g3344
I5
tp3380
(dp3381
g6
VSum[1 / k ^ 2, {k, 1, n}]
p3382
sg8
(lp3383
(dp3384
g11
(lp3385
sg13
V\u005ctext{HarmonicNumber}\u005cleft[n,2\u005cright]
p3386
sg15
I6
sass(g1696
g2305
g3344
I6
tp3387
(dp3388
g6
VSum[f[i], {i, 1, 7}]
p3389
sg8
(lp3390
(dp3391
g11
(lp3392
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]
p3393
sg15
I7
sass(g1696
g2305
g3344
I7
tp3394
(dp3395
g6
VSum[x ^ 2, {x, 1, y}] - y * (y + 1) * (2 * y + 1) / 6
p3396
sg8
(lp3397
(dp3398
g11
(lp3399
sg13
V0
p3400
sg15
I8
sass(g1696
g2305
g3344
I8
tp3401
(dp3402
g6
V(-1 + a^n) Sum[a^(k n), {k, 0, m-1}] // Simplify
p3403
sg8
(lp3404
(dp3405
g11
(lp3406
sg13
V-1+{\u005cleft(a^n\u005cright)}^m
p3407
sg15
I9
sass(g1696
g2305
g3344
I9
tp3408
(dp3409
g6
VSum[1 / 2 ^ i, {i, 1, Infinity}]
p3410
sg8
(lp3411
(dp3412
g11
(lp3413
sg13
V1
p3414
sg15
I10
sass(g1696
g2305
g3344
I10
tp3415
(dp3416
g6
VSum[1 / k ^ 2, {k, 1, Infinity}]
p3417
sg8
(lp3418
(dp3419
g11
(lp3420
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p3421
sg15
I11
sass(g1696
g2305
VTimes
p3422
I0
tp3423
(dp3424
g6
V10 * 2
p3425
sg8
(lp3426
(dp3427
g11
(lp3428
sg13
V20
p3429
sg15
I1
sass(g1696
g2305
g3422
I1
tp3430
(dp3431
g6
V10 2
p3432
sg8
(lp3433
(dp3434
g11
(lp3435
sg13
V20
p3436
sg15
I2
sass(g1696
g2305
g3422
I2
tp3437
(dp3438
g6
Va * a
p3439
sg8
(lp3440
(dp3441
g11
(lp3442
sg13
Va^2
p3443
sg15
I3
sass(g1696
g2305
g3422
I3
tp3444
(dp3445
g6
Vx ^ 10 * x ^ -2
p3446
sg8
(lp3447
(dp3448
g11
(lp3449
sg13
Vx^8
p3450
sg15
I4
sass(g1696
g2305
g3422
I4
tp3451
(dp3452
g6
V{1, 2, 3} * 4
p3453
sg8
(lp3454
(dp3455
g11
(lp3456
sg13
V\u005cleft\u005c{4,8,12\u005cright\u005c}
p3457
sg15
I5
sass(g1696
g2305
g3422
I5
tp3458
(dp3459
g6
VTimes @@ {1, 2, 3, 4}
p3460
sg8
(lp3461
(dp3462
g11
(lp3463
sg13
V24
p3464
sg15
I6
sass(g1696
g2305
g3422
I6
tp3465
(dp3466
g6
VIntegerLength[Times@@Range[5000]]
p3467
sg8
(lp3468
(dp3469
g11
(lp3470
sg13
V16326
p3471
sg15
I7
sass(g1696
g2305
g3422
I7
tp3472
(dp3473
g6
VDefaultValues[Times]
p3474
sg8
(lp3475
(dp3476
g11
(lp3477
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Times}\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p3478
sg15
I8
sass(g1696
g2305
g3422
I8
tp3479
(dp3480
g6
Va /. n_. * x_ :> {n, x}
p3481
sg8
(lp3482
(dp3483
g11
(lp3484
sg13
V\u005cleft\u005c{1,a\u005cright\u005c}
p3485
sg15
I9
sass(g1696
VAssignment
p3486
VAddTo
p3487
I0
tp3488
(dp3489
g6
Va = 10;
p3490
sg8
(lp3491
(dp3492
g11
(lp3493
sg13
Nsg15
I1
sass(g1696
g3486
g3487
I1
tp3494
(dp3495
g6
Va += 2
p3496
sg8
(lp3497
(dp3498
g11
(lp3499
sg13
V12
p3500
sg15
I2
sass(g1696
g3486
g3487
I2
tp3501
(dp3502
g6
g542
sg8
(lp3503
(dp3504
g11
(lp3505
sg13
V12
p3506
sg15
I3
sass(g1696
g3486
VClear
p3507
I0
tp3508
(dp3509
g6
Vx = 2;
p3510
sg8
(lp3511
(dp3512
g11
(lp3513
sg13
Nsg15
I1
sass(g1696
g3486
g3507
I1
tp3514
(dp3515
g6
VClear[x]
p3516
sg8
(lp3517
(dp3518
g11
(lp3519
sg13
Nsg15
I2
sass(g1696
g3486
g3507
I2
tp3520
(dp3521
g6
g195
sg8
(lp3522
(dp3523
g11
(lp3524
sg13
g195
sg15
I3
sass(g1696
g3486
g3507
I3
tp3525
(dp3526
g6
Vx = 2;
p3527
sg8
(lp3528
(dp3529
g11
(lp3530
sg13
Nsg15
I4
sass(g1696
g3486
g3507
I4
tp3531
(dp3532
g6
Vy = 3;
p3533
sg8
(lp3534
(dp3535
g11
(lp3536
sg13
Nsg15
I5
sass(g1696
g3486
g3507
I5
tp3537
(dp3538
g6
VClear["Global`*"]
p3539
sg8
(lp3540
(dp3541
g11
(lp3542
sg13
Nsg15
I6
sass(g1696
g3486
g3507
I6
tp3543
(dp3544
g6
g195
sg8
(lp3545
(dp3546
g11
(lp3547
sg13
g195
sg15
I7
sass(g1696
g3486
g3507
I7
tp3548
(dp3549
g6
Vy
p3550
sg8
(lp3551
(dp3552
g11
(lp3553
sg13
g3550
sg15
I8
sass(g1696
g3486
g3507
I8
tp3554
(dp3555
g6
VClear[Sin]
p3556
sg8
(lp3557
(dp3558
g11
(lp3559
(dp3560
g149
I01
sg150
VClear
p3561
sg152
Vwrsym
p3562
sg154
VClear::wrsym
p3563
sg156
VSymbol Sin is Protected.
p3564
sasg13
Nsg15
I9
sass(g1696
g3486
g3507
I9
tp3565
(dp3566
g6
VUnprotect[Sin]
p3567
sg8
(lp3568
(dp3569
g11
(lp3570
sg13
Nsg15
I10
sass(g1696
g3486
g3507
I10
tp3571
(dp3572
g6
VClear[Sin]
p3573
sg8
(lp3574
(dp3575
g11
(lp3576
sg13
Nsg15
I11
sass(g1696
g3486
g3507
I11
tp3577
(dp3578
g6
VSin[Pi]
p3579
sg8
(lp3580
(dp3581
g11
(lp3582
sg13
V0
p3583
sg15
I12
sass(g1696
g3486
g3507
I12
tp3584
(dp3585
g6
VAttributes[r] = {Flat, Orderless};
p3586
sg8
(lp3587
(dp3588
g11
(lp3589
sg13
Nsg15
I13
sass(g1696
g3486
g3507
I13
tp3590
(dp3591
g6
VClear["r"]
p3592
sg8
(lp3593
(dp3594
g11
(lp3595
sg13
Nsg15
I14
sass(g1696
g3486
g3507
I14
tp3596
(dp3597
g6
VAttributes[r]
p3598
sg8
(lp3599
(dp3600
g11
(lp3601
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p3602
sg15
I15
sass(g1696
g3486
VClearAll
p3603
I0
tp3604
(dp3605
g6
Vx = 2;
p3606
sg8
(lp3607
(dp3608
g11
(lp3609
sg13
Nsg15
I1
sass(g1696
g3486
g3603
I1
tp3610
(dp3611
g6
VClearAll[x]
p3612
sg8
(lp3613
(dp3614
g11
(lp3615
sg13
Nsg15
I2
sass(g1696
g3486
g3603
I2
tp3616
(dp3617
g6
g195
sg8
(lp3618
(dp3619
g11
(lp3620
sg13
g195
sg15
I3
sass(g1696
g3486
g3603
I3
tp3621
(dp3622
g6
VAttributes[r] = {Flat, Orderless};
p3623
sg8
(lp3624
(dp3625
g11
(lp3626
sg13
Nsg15
I4
sass(g1696
g3486
g3603
I4
tp3627
(dp3628
g6
VClearAll[r]
p3629
sg8
(lp3630
(dp3631
g11
(lp3632
sg13
Nsg15
I5
sass(g1696
g3486
g3603
I5
tp3633
(dp3634
g6
VAttributes[r]
p3635
sg8
(lp3636
(dp3637
g11
(lp3638
sg13
V\u005cleft\u005c{\u005cright\u005c}
p3639
sg15
I6
sass(g1696
g3486
g3603
I6
tp3640
(dp3641
g6
VAttributes[lock] = {Locked};
p3642
sg8
(lp3643
(dp3644
g11
(lp3645
sg13
Nsg15
I7
sass(g1696
g3486
g3603
I7
tp3646
(dp3647
g6
VClearAll[lock]
p3648
sg8
(lp3649
(dp3650
g11
(lp3651
(dp3652
g149
I01
sg150
VClear
p3653
sg152
Vlocked
p3654
sg154
VClear::locked
p3655
sg156
VSymbol lock is locked.
p3656
sasg13
Nsg15
I8
sass(g1696
g3486
VDecrement
p3657
I0
tp3658
(dp3659
g6
Va = 5;
p3660
sg8
(lp3661
(dp3662
g11
(lp3663
sg13
Nsg15
I1
sass(g1696
g3486
g3657
I1
tp3664
(dp3665
g6
g542
sg8
(lp3666
(dp3667
g11
(lp3668
sg13
V5
p3669
sg15
I2
sass(g1696
g3486
g3657
I2
tp3670
(dp3671
g6
g542
sg8
(lp3672
(dp3673
g11
(lp3674
sg13
V5
p3675
sg15
I3
sass(g1696
g3486
VDefaultValues
p3676
I0
tp3677
(dp3678
g6
VDefault[f, 1] = 4
p3679
sg8
(lp3680
(dp3681
g11
(lp3682
sg13
V4
p3683
sg15
I1
sass(g1696
g3486
g3676
I1
tp3684
(dp3685
g6
VDefaultValues[f]
p3686
sg8
(lp3687
(dp3688
g11
(lp3689
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[f,1\u005cright]\u005cright]\u005ctext{:>}4\u005cright\u005c}
p3690
sg15
I2
sass(g1696
g3486
g3676
I2
tp3691
(dp3692
g6
VDefaultValues[g] = {Default[g] -> 3};
p3693
sg8
(lp3694
(dp3695
g11
(lp3696
sg13
Nsg15
I3
sass(g1696
g3486
g3676
I3
tp3697
(dp3698
g6
VDefault[g, 1]
p3699
sg8
(lp3700
(dp3701
g11
(lp3702
sg13
V3
p3703
sg15
I4
sass(g1696
g3486
g3676
I4
tp3704
(dp3705
g6
Vg[x_.] := {x}
p3706
sg8
(lp3707
(dp3708
g11
(lp3709
sg13
Nsg15
I5
sass(g1696
g3486
g3676
I5
tp3710
(dp3711
g6
Vg[a]
p3712
sg8
(lp3713
(dp3714
g11
(lp3715
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p3716
sg15
I6
sass(g1696
g3486
g3676
I6
tp3717
(dp3718
g6
Vg[]
p3719
sg8
(lp3720
(dp3721
g11
(lp3722
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p3723
sg15
I7
sass(g1696
g3486
VDefinition
p3724
I0
tp3725
(dp3726
g6
Va = 2;
p3727
sg8
(lp3728
(dp3729
g11
(lp3730
sg13
Nsg15
I1
sass(g1696
g3486
g3724
I1
tp3731
(dp3732
g6
VDefinition[a]
p3733
sg8
(lp3734
(dp3735
g11
(lp3736
sg13
V\u005cbegin{array}{l} a=2\u005cend{array}
p3737
sg15
I2
sass(g1696
g3486
g3724
I2
tp3738
(dp3739
g6
Vf[x_] := x ^ 2
p3740
sg8
(lp3741
(dp3742
g11
(lp3743
sg13
Nsg15
I3
sass(g1696
g3486
g3724
I3
tp3744
(dp3745
g6
Vg[f] ^:= 2
p3746
sg8
(lp3747
(dp3748
g11
(lp3749
sg13
Nsg15
I4
sass(g1696
g3486
g3724
I4
tp3750
(dp3751
g6
VDefinition[f]
p3752
sg8
(lp3753
(dp3754
g11
(lp3755
sg13
V\u005cbegin{array}{l} f\u005cleft[\u005ctext{x\u005c_}\u005cright]=x^2\u005c\u005c g\u005cleft[f\u005cright]\u005ctext{${}^{\u005cwedge}$=}2\u005cend{array}
p3756
sg15
I5
sass(g1696
g3486
g3724
I5
tp3757
(dp3758
g6
VAttributes[r] := {Orderless}
p3759
sg8
(lp3760
(dp3761
g11
(lp3762
sg13
Nsg15
I6
sass(g1696
g3486
g3724
I6
tp3763
(dp3764
g6
VFormat[r[args___]] := Infix[{args}, "~"]
p3765
sg8
(lp3766
(dp3767
g11
(lp3768
sg13
Nsg15
I7
sass(g1696
g3486
g3724
I7
tp3769
(dp3770
g6
VN[r] := 3.5
p3771
sg8
(lp3772
(dp3773
g11
(lp3774
sg13
Nsg15
I8
sass(g1696
g3486
g3724
I8
tp3775
(dp3776
g6
VDefault[r, 1] := 2
p3777
sg8
(lp3778
(dp3779
g11
(lp3780
sg13
Nsg15
I9
sass(g1696
g3486
g3724
I9
tp3781
(dp3782
g6
Vr::msg := "My message"
p3783
sg8
(lp3784
(dp3785
g11
(lp3786
sg13
Nsg15
I10
sass(g1696
g3486
g3724
I10
tp3787
(dp3788
g6
VOptions[r] := {Opt -> 3}
p3789
sg8
(lp3790
(dp3791
g11
(lp3792
sg13
Nsg15
I11
sass(g1696
g3486
g3724
I11
tp3793
(dp3794
g6
Vr[arg_., OptionsPattern[r]] := {arg, OptionValue[Opt]}
p3795
sg8
(lp3796
(dp3797
g11
(lp3798
sg13
Nsg15
I12
sass(g1696
g3486
g3724
I12
tp3799
(dp3800
g6
Vr[z, x, y]
p3801
sg8
(lp3802
(dp3803
g11
(lp3804
sg13
Vx\u005csim{}y\u005csim{}z
p3805
sg15
I13
sass(g1696
g3486
g3724
I13
tp3806
(dp3807
g6
VN[r]
p3808
sg8
(lp3809
(dp3810
g11
(lp3811
sg13
V3.5
p3812
sg15
I14
sass(g1696
g3486
g3724
I14
tp3813
(dp3814
g6
Vr[]
p3815
sg8
(lp3816
(dp3817
g11
(lp3818
sg13
V\u005cleft\u005c{2,3\u005cright\u005c}
p3819
sg15
I15
sass(g1696
g3486
g3724
I15
tp3820
(dp3821
g6
Vr[5, Opt->7]
p3822
sg8
(lp3823
(dp3824
g11
(lp3825
sg13
V\u005cleft\u005c{5,7\u005cright\u005c}
p3826
sg15
I16
sass(g1696
g3486
g3724
I16
tp3827
(dp3828
g6
VDefinition[r]
p3829
sg8
(lp3830
(dp3831
g11
(lp3832
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}
p3833
sg15
I17
sass(g1696
g3486
g3724
I17
tp3834
(dp3835
g6
VSetAttributes[r, ReadProtected]
p3836
sg8
(lp3837
(dp3838
g11
(lp3839
sg13
Nsg15
I18
sass(g1696
g3486
g3724
I18
tp3840
(dp3841
g6
VDefinition[r]
p3842
sg8
(lp3843
(dp3844
g11
(lp3845
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}
p3846
sg15
I19
sass(g1696
g3486
g3724
I19
tp3847
(dp3848
g6
VDefinition[Plus]
p3849
sg8
(lp3850
(dp3851
g11
(lp3852
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}
p3853
sg15
I20
sass(g1696
g3486
g3724
I20
tp3854
(dp3855
g6
VDefinition[Level]
p3856
sg8
(lp3857
(dp3858
g11
(lp3859
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}
p3860
sg15
I21
sass(g1696
g3486
g3724
I21
tp3861
(dp3862
g6
VClearAttributes[r, ReadProtected]
p3863
sg8
(lp3864
(dp3865
g11
(lp3866
sg13
Nsg15
I22
sass(g1696
g3486
g3724
I22
tp3867
(dp3868
g6
VClear[r]
p3869
sg8
(lp3870
(dp3871
g11
(lp3872
sg13
Nsg15
I23
sass(g1696
g3486
g3724
I23
tp3873
(dp3874
g6
VDefinition[r]
p3875
sg8
(lp3876
(dp3877
g11
(lp3878
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}
p3879
sg15
I24
sass(g1696
g3486
g3724
I24
tp3880
(dp3881
g6
VClearAll[r]
p3882
sg8
(lp3883
(dp3884
g11
(lp3885
sg13
Nsg15
I25
sass(g1696
g3486
g3724
I25
tp3886
(dp3887
g6
VDefinition[r]
p3888
sg8
(lp3889
(dp3890
g11
(lp3891
sg13
V\u005ctext{Null}
p3892
sg15
I26
sass(g1696
g3486
g3724
I26
tp3893
(dp3894
g6
VDefinition[x]
p3895
sg8
(lp3896
(dp3897
g11
(lp3898
sg13
V\u005ctext{Null}
p3899
sg15
I27
sass(g1696
g3486
VDivideBy
p3900
I0
tp3901
(dp3902
g6
Va = 10;
p3903
sg8
(lp3904
(dp3905
g11
(lp3906
sg13
Nsg15
I1
sass(g1696
g3486
g3900
I1
tp3907
(dp3908
g6
Va /= 2
p3909
sg8
(lp3910
(dp3911
g11
(lp3912
sg13
V5
p3913
sg15
I2
sass(g1696
g3486
g3900
I2
tp3914
(dp3915
g6
g542
sg8
(lp3916
(dp3917
g11
(lp3918
sg13
V5
p3919
sg15
I3
sass(g1696
g3486
VDownValues
p3920
I0
tp3921
(dp3922
g6
Vf[x_] := x ^ 2
p3923
sg8
(lp3924
(dp3925
g11
(lp3926
sg13
Nsg15
I1
sass(g1696
g3486
g3920
I1
tp3927
(dp3928
g6
VDownValues[f]
p3929
sg8
(lp3930
(dp3931
g11
(lp3932
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[\u005ctext{x\u005c_}\u005cright]\u005cright]\u005ctext{:>}x^2\u005cright\u005c}
p3933
sg15
I2
sass(g1696
g3486
g3920
I2
tp3934
(dp3935
g6
Vf[x_Integer] := 2
p3936
sg8
(lp3937
(dp3938
g11
(lp3939
sg13
Nsg15
I3
sass(g1696
g3486
g3920
I3
tp3940
(dp3941
g6
Vf[x_Real] := 3
p3942
sg8
(lp3943
(dp3944
g11
(lp3945
sg13
Nsg15
I4
sass(g1696
g3486
g3920
I4
tp3946
(dp3947
g6
VDownValues[f]
p3948
sg8
(lp3949
(dp3950
g11
(lp3951
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}
p3952
sg15
I5
sass(g1696
g3486
g3920
I5
tp3953
(dp3954
g6
Vf[3]
p3955
sg8
(lp3956
(dp3957
g11
(lp3958
sg13
V2
p3959
sg15
I6
sass(g1696
g3486
g3920
I6
tp3960
(dp3961
g6
Vf[3.]
p3962
sg8
(lp3963
(dp3964
g11
(lp3965
sg13
V3
p3966
sg15
I7
sass(g1696
g3486
g3920
I7
tp3967
(dp3968
g6
Vf[a]
p3969
sg8
(lp3970
(dp3971
g11
(lp3972
sg13
Va^2
p3973
sg15
I8
sass(g1696
g3486
g3920
I8
tp3974
(dp3975
g6
VSort[{x_, x_Integer}, PatternsOrderedQ]
p3976
sg8
(lp3977
(dp3978
g11
(lp3979
sg13
V\u005cleft\u005c{\u005ctext{x\u005c_Integer},\u005ctext{x\u005c_}\u005cright\u005c}
p3980
sg15
I9
sass(g1696
g3486
g3920
I9
tp3981
(dp3982
g6
VDownValues[g] := {g[x_] :> x ^ 2, g[x_Integer] :> x}
p3983
sg8
(lp3984
(dp3985
g11
(lp3986
sg13
Nsg15
I10
sass(g1696
g3486
g3920
I10
tp3987
(dp3988
g6
Vg[2]
p3989
sg8
(lp3990
(dp3991
g11
(lp3992
sg13
V4
p3993
sg15
I11
sass(g1696
g3486
g3920
I11
tp3994
(dp3995
g6
VDownValues[fib] := {fib[0] -> 0, fib[1] -> 1, fib[n_] :> fib[n - 1] + fib[n - 2]}
p3996
sg8
(lp3997
(dp3998
g11
(lp3999
sg13
Nsg15
I12
sass(g1696
g3486
g3920
I12
tp4000
(dp4001
g6
Vfib[5]
p4002
sg8
(lp4003
(dp4004
g11
(lp4005
sg13
V5
p4006
sg15
I13
sass(g1696
g3486
VIncrement
p4007
I0
tp4008
(dp4009
g6
Va = 2;
p4010
sg8
(lp4011
(dp4012
g11
(lp4013
sg13
Nsg15
I1
sass(g1696
g3486
g4007
I1
tp4014
(dp4015
g6
Va++
p4016
sg8
(lp4017
(dp4018
g11
(lp4019
sg13
V2
p4020
sg15
I2
sass(g1696
g3486
g4007
I2
tp4021
(dp4022
g6
g542
sg8
(lp4023
(dp4024
g11
(lp4025
sg13
V3
p4026
sg15
I3
sass(g1696
g3486
g4007
I3
tp4027
(dp4028
g6
V++++a+++++2//Hold//FullForm
p4029
sg8
(lp4030
(dp4031
g11
(lp4032
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]
p4033
sg15
I4
sass(g1696
g3486
VInformation
p4034
I0
tp4035
(dp4036
g6
Va = 2;
p4037
sg8
(lp4038
(dp4039
g11
(lp4040
sg13
Nsg15
I1
sass(g1696
g3486
g4034
I1
tp4041
(dp4042
g6
VInformation[a]
p4043
sg8
(lp4044
(dp4045
g11
(lp4046
sg13
V\u005cbegin{array}{l} a=2\u005cend{array}
p4047
sg15
I2
sass(g1696
g3486
g4034
I2
tp4048
(dp4049
g6
Vf[x_] := x ^ 2
p4050
sg8
(lp4051
(dp4052
g11
(lp4053
sg13
Nsg15
I3
sass(g1696
g3486
g4034
I3
tp4054
(dp4055
g6
Vg[f] ^:= 2
p4056
sg8
(lp4057
(dp4058
g11
(lp4059
sg13
Nsg15
I4
sass(g1696
g3486
g4034
I4
tp4060
(dp4061
g6
Vf::usage = "f[x] returns the square of x";
p4062
sg8
(lp4063
(dp4064
g11
(lp4065
sg13
Nsg15
I5
sass(g1696
g3486
g4034
I5
tp4066
(dp4067
g6
VInformation[f]
p4068
sg8
(lp4069
(dp4070
g11
(lp4071
sg13
V\u005cbegin{array}{l} \u005ctext{f[x] returns the square of x}\u005c\u005c f\u005cleft[\u005ctext{x\u005c_}\u005cright]=x^2\u005c\u005c g\u005cleft[f\u005cright]\u005ctext{${}^{\u005cwedge}$=}2\u005cend{array}
p4072
sg15
I6
sass(g1696
g3486
g4034
I6
tp4073
(dp4074
g6
V? Table
p4075
sg8
(lp4076
(dp4077
g11
(lp4078
sg13
V\u005cbegin{array}{l} \u005ctext{\u005cnewline\u000a  'Table[expr, \u005c{i, n\u005c}]'\u005cnewline\u000a    evaluates expr with i ranging from 1 to n, returning\u005cnewline\u000aa list of the results.\u005cnewline\u000a  'Table[expr, \u005c{i, start, stop, step\u005c}]'\u005cnewline\u000a    evaluates expr with i ranging from start to stop,\u005cnewline\u000aincrementing by step.\u005cnewline\u000a  'Table[expr, \u005c{i, \u005c{e1, e2, ..., ei\u005c}\u005c}]'\u005cnewline\u000a    evaluates expr with i taking on the values e1, e2,\u005cnewline\u000a..., ei.\u005cnewline\u000a}\u005cend{array}
p4079
sg15
I7
sass(g1696
g3486
g4034
I7
tp4080
(dp4081
g6
VInformation[Table]
p4082
sg8
(lp4083
(dp4084
g11
(lp4085
sg13
V\u005cbegin{array}{l} \u005ctext{\u005cnewline\u000a  'Table[expr, \u005c{i, n\u005c}]'\u005cnewline\u000a    evaluates expr with i ranging from 1 to n, returning\u005cnewline\u000aa list of the results.\u005cnewline\u000a  'Table[expr, \u005c{i, start, stop, step\u005c}]'\u005cnewline\u000a    evaluates expr with i ranging from start to stop,\u005cnewline\u000aincrementing by step.\u005cnewline\u000a  'Table[expr, \u005c{i, \u005c{e1, e2, ..., ei\u005c}\u005c}]'\u005cnewline\u000a    evaluates expr with i taking on the values e1, e2,\u005cnewline\u000a..., ei.\u005cnewline\u000a}\u005c\u005c \u005ctext{Attributes}\u005cleft[\u005ctext{Table}\u005cright]=\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}\u005cend{array}
p4086
sg15
I8
sass(g1696
g3486
VLoadModule
p4087
I0
tp4088
(dp4089
g6
VLoadModule["nomodule"]
p4090
sg8
(lp4091
(dp4092
g11
(lp4093
(dp4094
g149
I01
sg150
VLoadModule
p4095
sg152
Vnotfound
p4096
sg154
VLoadModule::notfound
p4097
sg156
VPython module nomodule does not exist.
p4098
sasg13
V\u005ctext{\u005c$Failed}
p4099
sg15
I1
sass(g1696
g3486
g4087
I1
tp4100
(dp4101
g6
VLoadModule["sys"]
p4102
sg8
(lp4103
(dp4104
g11
(lp4105
(dp4106
g149
I01
sg150
VLoadModule
p4107
sg152
Vnotmathicslib
p4108
sg154
VLoadModule::notmathicslib
p4109
sg156
VPython module sys is not a pymathics module.
p4110
sasg13
V\u005ctext{\u005c$Failed}
p4111
sg15
I2
sass(g1696
g3486
VMessages
p4112
I0
tp4113
(dp4114
g6
Va::b = "foo"
p4115
sg8
(lp4116
(dp4117
g11
(lp4118
sg13
V\u005ctext{foo}
p4119
sg15
I1
sass(g1696
g3486
g4112
I1
tp4120
(dp4121
g6
VMessages[a]
p4122
sg8
(lp4123
(dp4124
g11
(lp4125
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005ctext{::}\u005ctext{b}\u005cright]\u005ctext{:>}\u005ctext{foo}\u005cright\u005c}
p4126
sg15
I2
sass(g1696
g3486
g4112
I2
tp4127
(dp4128
g6
VMessages[a] = {a::c :> "bar"};
p4129
sg8
(lp4130
(dp4131
g11
(lp4132
sg13
Nsg15
I3
sass(g1696
g3486
g4112
I3
tp4133
(dp4134
g6
Va::c // InputForm
p4135
sg8
(lp4136
(dp4137
g11
(lp4138
sg13
V\u005ctext{"bar"}
p4139
sg15
I4
sass(g1696
g3486
g4112
I4
tp4140
(dp4141
g6
VMessage[a::c]
p4142
sg8
(lp4143
(dp4144
g11
(lp4145
(dp4146
g149
I01
sg150
g542
sg152
g444
sg154
Va::c
p4147
sg156
Vbar
p4148
sasg13
Nsg15
I5
sass(g1696
g3486
VNValues
p4149
I0
tp4150
(dp4151
g6
VNValues[a]
p4152
sg8
(lp4153
(dp4154
g11
(lp4155
sg13
V\u005cleft\u005c{\u005cright\u005c}
p4156
sg15
I1
sass(g1696
g3486
g4149
I1
tp4157
(dp4158
g6
VN[a] = 3;
p4159
sg8
(lp4160
(dp4161
g11
(lp4162
sg13
Nsg15
I2
sass(g1696
g3486
g4149
I2
tp4163
(dp4164
g6
VNValues[a]
p4165
sg8
(lp4166
(dp4167
g11
(lp4168
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[N\u005cleft[a,\u005ctext{MachinePrecision}\u005cright]\u005cright]\u005ctext{:>}3\u005cright\u005c}
p4169
sg15
I3
sass(g1696
g3486
g4149
I3
tp4170
(dp4171
g6
VNValues[b] := {N[b, MachinePrecision] :> 2}
p4172
sg8
(lp4173
(dp4174
g11
(lp4175
sg13
Nsg15
I4
sass(g1696
g3486
g4149
I4
tp4176
(dp4177
g6
VN[b]
p4178
sg8
(lp4179
(dp4180
g11
(lp4181
sg13
V2.
p4182
sg15
I5
sass(g1696
g3486
g4149
I5
tp4183
(dp4184
g6
VNValues[c] := {N[c] :> 3}
p4185
sg8
(lp4186
(dp4187
g11
(lp4188
sg13
Nsg15
I6
sass(g1696
g3486
g4149
I6
tp4189
(dp4190
g6
VN[c]
p4191
sg8
(lp4192
(dp4193
g11
(lp4194
sg13
g444
sg15
I7
sass(g1696
g3486
g4149
I7
tp4195
(dp4196
g6
VNValues[d] = {foo -> bar};
p4197
sg8
(lp4198
(dp4199
g11
(lp4200
sg13
Nsg15
I8
sass(g1696
g3486
g4149
I8
tp4201
(dp4202
g6
VNValues[d]
p4203
sg8
(lp4204
(dp4205
g11
(lp4206
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{foo}\u005cright]\u005ctext{:>}\u005ctext{bar}\u005cright\u005c}
p4207
sg15
I9
sass(g1696
g3486
g4149
I9
tp4208
(dp4209
g6
VN[d]
p4210
sg8
(lp4211
(dp4212
g11
(lp4213
sg13
g519
sg15
I10
sass(g1696
g3486
VOwnValues
p4214
I0
tp4215
(dp4216
g6
Vx = 3;
p4217
sg8
(lp4218
(dp4219
g11
(lp4220
sg13
Nsg15
I1
sass(g1696
g3486
g4214
I1
tp4221
(dp4222
g6
Vx = 2;
p4223
sg8
(lp4224
(dp4225
g11
(lp4226
sg13
Nsg15
I2
sass(g1696
g3486
g4214
I2
tp4227
(dp4228
g6
VOwnValues[x]
p4229
sg8
(lp4230
(dp4231
g11
(lp4232
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}2\u005cright\u005c}
p4233
sg15
I3
sass(g1696
g3486
g4214
I3
tp4234
(dp4235
g6
Vx := y
p4236
sg8
(lp4237
(dp4238
g11
(lp4239
sg13
Nsg15
I4
sass(g1696
g3486
g4214
I4
tp4240
(dp4241
g6
VOwnValues[x]
p4242
sg8
(lp4243
(dp4244
g11
(lp4245
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}y\u005cright\u005c}
p4246
sg15
I5
sass(g1696
g3486
g4214
I5
tp4247
(dp4248
g6
Vy = 5;
p4249
sg8
(lp4250
(dp4251
g11
(lp4252
sg13
Nsg15
I6
sass(g1696
g3486
g4214
I6
tp4253
(dp4254
g6
VOwnValues[x]
p4255
sg8
(lp4256
(dp4257
g11
(lp4258
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}y\u005cright\u005c}
p4259
sg15
I7
sass(g1696
g3486
g4214
I7
tp4260
(dp4261
g6
VHold[x] /. OwnValues[x]
p4262
sg8
(lp4263
(dp4264
g11
(lp4265
sg13
V\u005ctext{Hold}\u005cleft[y\u005cright]
p4266
sg15
I8
sass(g1696
g3486
g4214
I8
tp4267
(dp4268
g6
VHold[x] /. OwnValues[x] // ReleaseHold
p4269
sg8
(lp4270
(dp4271
g11
(lp4272
sg13
V5
p4273
sg15
I9
sass(g1696
g3486
VPreDecrement
p4274
I0
tp4275
(dp4276
g6
Va = 2;
p4277
sg8
(lp4278
(dp4279
g11
(lp4280
sg13
Nsg15
I1
sass(g1696
g3486
g4274
I1
tp4281
(dp4282
g6
V--a
p4283
sg8
(lp4284
(dp4285
g11
(lp4286
sg13
V1
p4287
sg15
I2
sass(g1696
g3486
g4274
I2
tp4288
(dp4289
g6
g542
sg8
(lp4290
(dp4291
g11
(lp4292
sg13
V1
p4293
sg15
I3
sass(g1696
g3486
VPreIncrement
p4294
I0
tp4295
(dp4296
g6
Va = 2;
p4297
sg8
(lp4298
(dp4299
g11
(lp4300
sg13
Nsg15
I1
sass(g1696
g3486
g4294
I1
tp4301
(dp4302
g6
V++a
p4303
sg8
(lp4304
(dp4305
g11
(lp4306
sg13
V3
p4307
sg15
I2
sass(g1696
g3486
g4294
I2
tp4308
(dp4309
g6
g542
sg8
(lp4310
(dp4311
g11
(lp4312
sg13
V3
p4313
sg15
I3
sass(g1696
g3486
VSet
p4314
I0
tp4315
(dp4316
g6
Va = 3
p4317
sg8
(lp4318
(dp4319
g11
(lp4320
sg13
V3
p4321
sg15
I1
sass(g1696
g3486
g4314
I1
tp4322
(dp4323
g6
g542
sg8
(lp4324
(dp4325
g11
(lp4326
sg13
V3
p4327
sg15
I2
sass(g1696
g3486
g4314
I2
tp4328
(dp4329
g6
VOwnValues[a]
p4330
sg8
(lp4331
(dp4332
g11
(lp4333
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cright]\u005ctext{:>}3\u005cright\u005c}
p4334
sg15
I3
sass(g1696
g3486
g4314
I3
tp4335
(dp4336
g6
V{a, b, c} = {10, 2, 3}
p4337
sg8
(lp4338
(dp4339
g11
(lp4340
sg13
V\u005cleft\u005c{10,2,3\u005cright\u005c}
p4341
sg15
I4
sass(g1696
g3486
g4314
I4
tp4342
(dp4343
g6
V{a, b, {c, {d}}} = {1, 2, {{c1, c2}, {a}}}
p4344
sg8
(lp4345
(dp4346
g11
(lp4347
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}
p4348
sg15
I5
sass(g1696
g3486
g4314
I5
tp4349
(dp4350
g6
g519
sg8
(lp4351
(dp4352
g11
(lp4353
sg13
V10
p4354
sg15
I6
sass(g1696
g3486
g4314
I6
tp4355
(dp4356
g6
g542
sg8
(lp4357
(dp4358
g11
(lp4359
sg13
V1
p4360
sg15
I7
sass(g1696
g3486
g4314
I7
tp4361
(dp4362
g6
Vx = a
p4363
sg8
(lp4364
(dp4365
g11
(lp4366
sg13
V1
p4367
sg15
I8
sass(g1696
g3486
g4314
I8
tp4368
(dp4369
g6
Va = 2
p4370
sg8
(lp4371
(dp4372
g11
(lp4373
sg13
V2
p4374
sg15
I9
sass(g1696
g3486
g4314
I9
tp4375
(dp4376
g6
g195
sg8
(lp4377
(dp4378
g11
(lp4379
sg13
V1
p4380
sg15
I10
sass(g1696
g3486
g4314
I10
tp4381
(dp4382
g6
Va = b = c = 2;
p4383
sg8
(lp4384
(dp4385
g11
(lp4386
sg13
Nsg15
I11
sass(g1696
g3486
g4314
I11
tp4387
(dp4388
g6
Va == b == c == 2
p4389
sg8
(lp4390
(dp4391
g11
(lp4392
sg13
V\u005ctext{True}
p4393
sg15
I12
sass(g1696
g3486
g4314
I12
tp4394
(dp4395
g6
VA = {{1, 2}, {3, 4}};
p4396
sg8
(lp4397
(dp4398
g11
(lp4399
sg13
Nsg15
I13
sass(g1696
g3486
g4314
I13
tp4400
(dp4401
g6
VA[[1, 2]] = 5
p4402
sg8
(lp4403
(dp4404
g11
(lp4405
sg13
V5
p4406
sg15
I14
sass(g1696
g3486
g4314
I14
tp4407
(dp4408
g6
VA
p4409
sg8
(lp4410
(dp4411
g11
(lp4412
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,5\u005cright\u005c},\u005cleft\u005c{3,4\u005cright\u005c}\u005cright\u005c}
p4413
sg15
I15
sass(g1696
g3486
g4314
I15
tp4414
(dp4415
g6
VA[[;;, 2]] = {6, 7}
p4416
sg8
(lp4417
(dp4418
g11
(lp4419
sg13
V\u005cleft\u005c{6,7\u005cright\u005c}
p4420
sg15
I16
sass(g1696
g3486
g4314
I16
tp4421
(dp4422
g6
g4409
sg8
(lp4423
(dp4424
g11
(lp4425
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,6\u005cright\u005c},\u005cleft\u005c{3,7\u005cright\u005c}\u005cright\u005c}
p4426
sg15
I17
sass(g1696
g3486
g4314
I17
tp4427
(dp4428
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p4429
sg8
(lp4430
(dp4431
g11
(lp4432
sg13
Nsg15
I18
sass(g1696
g3486
g4314
I18
tp4433
(dp4434
g6
VB[[1;;2, 2;;-1]] = {{t, u}, {y, z}};
p4435
sg8
(lp4436
(dp4437
g11
(lp4438
sg13
Nsg15
I19
sass(g1696
g3486
g4314
I19
tp4439
(dp4440
g6
VB
p4441
sg8
(lp4442
(dp4443
g11
(lp4444
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}
p4445
sg15
I20
sass(g1696
g3486
VSetDelayed
p4446
I0
tp4447
(dp4448
g6
VAttributes[SetDelayed]
p4449
sg8
(lp4450
(dp4451
g11
(lp4452
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p4453
sg15
I1
sass(g1696
g3486
g4446
I1
tp4454
(dp4455
g6
Va = 1
p4456
sg8
(lp4457
(dp4458
g11
(lp4459
sg13
V1
p4460
sg15
I2
sass(g1696
g3486
g4446
I2
tp4461
(dp4462
g6
Vx := a
p4463
sg8
(lp4464
(dp4465
g11
(lp4466
sg13
Nsg15
I3
sass(g1696
g3486
g4446
I3
tp4467
(dp4468
g6
g195
sg8
(lp4469
(dp4470
g11
(lp4471
sg13
V1
p4472
sg15
I4
sass(g1696
g3486
g4446
I4
tp4473
(dp4474
g6
Va = 2
p4475
sg8
(lp4476
(dp4477
g11
(lp4478
sg13
V2
p4479
sg15
I5
sass(g1696
g3486
g4446
I5
tp4480
(dp4481
g6
g195
sg8
(lp4482
(dp4483
g11
(lp4484
sg13
V2
p4485
sg15
I6
sass(g1696
g3486
g4446
I6
tp4486
(dp4487
g6
Vf[x_] := p[x] /; x>0
p4488
sg8
(lp4489
(dp4490
g11
(lp4491
sg13
Nsg15
I7
sass(g1696
g3486
g4446
I7
tp4492
(dp4493
g6
Vf[3]
p4494
sg8
(lp4495
(dp4496
g11
(lp4497
sg13
Vp\u005cleft[3\u005cright]
p4498
sg15
I8
sass(g1696
g3486
g4446
I8
tp4499
(dp4500
g6
Vf[-3]
p4501
sg8
(lp4502
(dp4503
g11
(lp4504
sg13
Vf\u005cleft[-3\u005cright]
p4505
sg15
I9
sass(g1696
g3486
VSubValues
p4506
I0
tp4507
(dp4508
g6
Vf[1][x_] := x
p4509
sg8
(lp4510
(dp4511
g11
(lp4512
sg13
Nsg15
I1
sass(g1696
g3486
g4506
I1
tp4513
(dp4514
g6
Vf[2][x_] := x ^ 2
p4515
sg8
(lp4516
(dp4517
g11
(lp4518
sg13
Nsg15
I2
sass(g1696
g3486
g4506
I2
tp4519
(dp4520
g6
VSubValues[f]
p4521
sg8
(lp4522
(dp4523
g11
(lp4524
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}
p4525
sg15
I3
sass(g1696
g3486
g4506
I3
tp4526
(dp4527
g6
VDefinition[f]
p4528
sg8
(lp4529
(dp4530
g11
(lp4531
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}
p4532
sg15
I4
sass(g1696
g3486
VSubtractFrom
p4533
I0
tp4534
(dp4535
g6
Va = 10;
p4536
sg8
(lp4537
(dp4538
g11
(lp4539
sg13
Nsg15
I1
sass(g1696
g3486
g4533
I1
tp4540
(dp4541
g6
Va -= 2
p4542
sg8
(lp4543
(dp4544
g11
(lp4545
sg13
V8
p4546
sg15
I2
sass(g1696
g3486
g4533
I2
tp4547
(dp4548
g6
g542
sg8
(lp4549
(dp4550
g11
(lp4551
sg13
V8
p4552
sg15
I3
sass(g1696
g3486
VTagSet
p4553
I0
tp4554
(dp4555
g6
Vx /: f[x] = 2
p4556
sg8
(lp4557
(dp4558
g11
(lp4559
sg13
V2
p4560
sg15
I1
sass(g1696
g3486
g4553
I1
tp4561
(dp4562
g6
Vf[x]
p4563
sg8
(lp4564
(dp4565
g11
(lp4566
sg13
V2
p4567
sg15
I2
sass(g1696
g3486
g4553
I2
tp4568
(dp4569
g6
VDownValues[f]
p4570
sg8
(lp4571
(dp4572
g11
(lp4573
sg13
V\u005cleft\u005c{\u005cright\u005c}
p4574
sg15
I3
sass(g1696
g3486
g4553
I3
tp4575
(dp4576
g6
VUpValues[x]
p4577
sg8
(lp4578
(dp4579
g11
(lp4580
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005ctext{:>}2\u005cright\u005c}
p4581
sg15
I4
sass(g1696
g3486
g4553
I4
tp4582
(dp4583
g6
Vx /: f[g[x]] = 3;
p4584
sg8
(lp4585
(dp4586
g11
(lp4587
(dp4588
g149
I01
sg150
VTagSet
p4589
sg152
Vtagnfd
p4590
sg154
VTagSet::tagnfd
p4591
sg156
VTag x not found or too deep for an assigned rule.
p4592
sasg13
Nsg15
I5
sass(g1696
g3486
g4553
I5
tp4593
(dp4594
g6
Vg /: f[g[x]] = 3;
p4595
sg8
(lp4596
(dp4597
g11
(lp4598
sg13
Nsg15
I6
sass(g1696
g3486
g4553
I6
tp4599
(dp4600
g6
Vf[g[x]]
p4601
sg8
(lp4602
(dp4603
g11
(lp4604
sg13
V3
p4605
sg15
I7
sass(g1696
g3486
VTimesBy
p4606
I0
tp4607
(dp4608
g6
Va = 10;
p4609
sg8
(lp4610
(dp4611
g11
(lp4612
sg13
Nsg15
I1
sass(g1696
g3486
g4606
I1
tp4613
(dp4614
g6
Va *= 2
p4615
sg8
(lp4616
(dp4617
g11
(lp4618
sg13
V20
p4619
sg15
I2
sass(g1696
g3486
g4606
I2
tp4620
(dp4621
g6
g542
sg8
(lp4622
(dp4623
g11
(lp4624
sg13
V20
p4625
sg15
I3
sass(g1696
g3486
VUnset
p4626
I0
tp4627
(dp4628
g6
Va = 2
p4629
sg8
(lp4630
(dp4631
g11
(lp4632
sg13
V2
p4633
sg15
I1
sass(g1696
g3486
g4626
I1
tp4634
(dp4635
g6
Va =.
p4636
sg8
(lp4637
(dp4638
g11
(lp4639
sg13
Nsg15
I2
sass(g1696
g3486
g4626
I2
tp4640
(dp4641
g6
g542
sg8
(lp4642
(dp4643
g11
(lp4644
sg13
g542
sg15
I3
sass(g1696
g3486
g4626
I3
tp4645
(dp4646
g6
Va =.
p4647
sg8
(lp4648
(dp4649
g11
(lp4650
sg13
Nsg15
I4
sass(g1696
g3486
g4626
I4
tp4651
(dp4652
g6
Vb =.
p4653
sg8
(lp4654
(dp4655
g11
(lp4656
sg13
Nsg15
I5
sass(g1696
g3486
g4626
I5
tp4657
(dp4658
g6
Vf[x_] =.
p4659
sg8
(lp4660
(dp4661
g11
(lp4662
(dp4663
g149
I01
sg150
VUnset
p4664
sg152
Vnorep
p4665
sg154
VUnset::norep
p4666
sg156
VAssignment on f for f[x_] not found.
p4667
sasg13
V\u005ctext{\u005c$Failed}
p4668
sg15
I6
sass(g1696
g3486
g4626
I6
tp4669
(dp4670
g6
Vf[x_] := x ^ 2
p4671
sg8
(lp4672
(dp4673
g11
(lp4674
sg13
Nsg15
I7
sass(g1696
g3486
g4626
I7
tp4675
(dp4676
g6
Vf[3]
p4677
sg8
(lp4678
(dp4679
g11
(lp4680
sg13
V9
p4681
sg15
I8
sass(g1696
g3486
g4626
I8
tp4682
(dp4683
g6
Vf[x_] =.
p4684
sg8
(lp4685
(dp4686
g11
(lp4687
sg13
Nsg15
I9
sass(g1696
g3486
g4626
I9
tp4688
(dp4689
g6
Vf[3]
p4690
sg8
(lp4691
(dp4692
g11
(lp4693
sg13
Vf\u005cleft[3\u005cright]
p4694
sg15
I10
sass(g1696
g3486
g4626
I10
tp4695
(dp4696
g6
Vf[x_] = x; f[0] = 1;
p4697
sg8
(lp4698
(dp4699
g11
(lp4700
sg13
Nsg15
I11
sass(g1696
g3486
g4626
I11
tp4701
(dp4702
g6
VDownValues[f] =.
p4703
sg8
(lp4704
(dp4705
g11
(lp4706
sg13
Nsg15
I12
sass(g1696
g3486
g4626
I12
tp4707
(dp4708
g6
Vf[2]
p4709
sg8
(lp4710
(dp4711
g11
(lp4712
sg13
Vf\u005cleft[2\u005cright]
p4713
sg15
I13
sass(g1696
g3486
g4626
I13
tp4714
(dp4715
g6
Va = b = 3;
p4716
sg8
(lp4717
(dp4718
g11
(lp4719
sg13
Nsg15
I14
sass(g1696
g3486
g4626
I14
tp4720
(dp4721
g6
V{a, {b}} =.
p4722
sg8
(lp4723
(dp4724
g11
(lp4725
sg13
V\u005cleft\u005c{\u005ctext{Null},\u005cleft\u005c{\u005ctext{Null}\u005cright\u005c}\u005cright\u005c}
p4726
sg15
I15
sass(g1696
g3486
VUpSet
p4727
I0
tp4728
(dp4729
g6
Va[b] ^= 3;
p4730
sg8
(lp4731
(dp4732
g11
(lp4733
sg13
Nsg15
I1
sass(g1696
g3486
g4727
I1
tp4734
(dp4735
g6
VDownValues[a]
p4736
sg8
(lp4737
(dp4738
g11
(lp4739
sg13
V\u005cleft\u005c{\u005cright\u005c}
p4740
sg15
I2
sass(g1696
g3486
g4727
I2
tp4741
(dp4742
g6
VUpValues[b]
p4743
sg8
(lp4744
(dp4745
g11
(lp4746
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cleft[b\u005cright]\u005cright]\u005ctext{:>}3\u005cright\u005c}
p4747
sg15
I3
sass(g1696
g3486
g4727
I3
tp4748
(dp4749
g6
Va ^= 3
p4750
sg8
(lp4751
(dp4752
g11
(lp4753
(dp4754
g149
I01
sg150
VUpSet
p4755
sg152
Vnormal
p4756
sg154
VUpSet::normal
p4757
sg156
VNonatomic expression expected.
p4758
sasg13
V3
p4759
sg15
I4
sass(g1696
g3486
g4727
I4
tp4760
(dp4761
g6
VFormat[r] ^= "custom";
p4762
sg8
(lp4763
(dp4764
g11
(lp4765
sg13
Nsg15
I5
sass(g1696
g3486
g4727
I5
tp4766
(dp4767
g6
Vr
p4768
sg8
(lp4769
(dp4770
g11
(lp4771
sg13
V\u005ctext{custom}
p4772
sg15
I6
sass(g1696
g3486
g4727
I6
tp4773
(dp4774
g6
VUpValues[r]
p4775
sg8
(lp4776
(dp4777
g11
(lp4778
sg13
V\u005cleft\u005c{\u005cright\u005c}
p4779
sg15
I7
sass(g1696
g3486
VUpSetDelayed
p4780
I0
tp4781
(dp4782
g6
Va[b] ^:= x
p4783
sg8
(lp4784
(dp4785
g11
(lp4786
sg13
Nsg15
I1
sass(g1696
g3486
g4780
I1
tp4787
(dp4788
g6
Vx = 2;
p4789
sg8
(lp4790
(dp4791
g11
(lp4792
sg13
Nsg15
I2
sass(g1696
g3486
g4780
I2
tp4793
(dp4794
g6
Va[b]
p4795
sg8
(lp4796
(dp4797
g11
(lp4798
sg13
V2
p4799
sg15
I3
sass(g1696
g3486
g4780
I3
tp4800
(dp4801
g6
VUpValues[b]
p4802
sg8
(lp4803
(dp4804
g11
(lp4805
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cleft[b\u005cright]\u005cright]\u005ctext{:>}x\u005cright\u005c}
p4806
sg15
I4
sass(g1696
g3486
VUpValues
p4807
I0
tp4808
(dp4809
g6
Va + b ^= 2
p4810
sg8
(lp4811
(dp4812
g11
(lp4813
sg13
V2
p4814
sg15
I1
sass(g1696
g3486
g4807
I1
tp4815
(dp4816
g6
VUpValues[a]
p4817
sg8
(lp4818
(dp4819
g11
(lp4820
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a+b\u005cright]\u005ctext{:>}2\u005cright\u005c}
p4821
sg15
I2
sass(g1696
g3486
g4807
I2
tp4822
(dp4823
g6
VUpValues[b]
p4824
sg8
(lp4825
(dp4826
g11
(lp4827
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a+b\u005cright]\u005ctext{:>}2\u005cright\u005c}
p4828
sg15
I3
sass(g1696
g3486
g4807
I3
tp4829
(dp4830
g6
VUpValues[pi] := {Sin[pi] :> 0}
p4831
sg8
(lp4832
(dp4833
g11
(lp4834
sg13
Nsg15
I4
sass(g1696
g3486
g4807
I4
tp4835
(dp4836
g6
VSin[pi]
p4837
sg8
(lp4838
(dp4839
g11
(lp4840
sg13
V0
p4841
sg15
I5
sass(g1696
VAttributes
p4842
VAttributes
p4843
I0
tp4844
(dp4845
g6
VAttributes[Plus]
p4846
sg8
(lp4847
(dp4848
g11
(lp4849
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Listable},\u005ctext{NumericFunction},\u005ctext{OneIdentity},\u005ctext{Orderless},\u005ctext{Protected}\u005cright\u005c}
p4850
sg15
I1
sass(g1696
g4842
g4843
I1
tp4851
(dp4852
g6
VAttributes[a + b + c]
p4853
sg8
(lp4854
(dp4855
g11
(lp4856
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Listable},\u005ctext{NumericFunction},\u005ctext{OneIdentity},\u005ctext{Orderless},\u005ctext{Protected}\u005cright\u005c}
p4857
sg15
I2
sass(g1696
g4842
g4843
I2
tp4858
(dp4859
g6
VAttributes[f] = {Flat, Orderless}
p4860
sg8
(lp4861
(dp4862
g11
(lp4863
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p4864
sg15
I3
sass(g1696
g4842
g4843
I3
tp4865
(dp4866
g6
Vf[b, f[a, c]]
p4867
sg8
(lp4868
(dp4869
g11
(lp4870
sg13
Vf\u005cleft[a,b,c\u005cright]
p4871
sg15
I4
sass(g1696
g4842
g4843
I4
tp4872
(dp4873
g6
VAttributes[f] := {a + b}
p4874
sg8
(lp4875
(dp4876
g11
(lp4877
(dp4878
g149
I01
sg150
VAttributes
p4879
sg152
Vsym
p4880
sg154
VAttributes::sym
p4881
sg156
VArgument a + b at position 1 is expected to be a symbol.
p4882
sasg13
V\u005ctext{\u005c$Failed}
p4883
sg15
I5
sass(g1696
g4842
g4843
I5
tp4884
(dp4885
g6
VAttributes[f] = Symbol["Listable"]
p4886
sg8
(lp4887
(dp4888
g11
(lp4889
sg13
V\u005ctext{Listable}
p4890
sg15
I6
sass(g1696
g4842
g4843
I6
tp4891
(dp4892
g6
VAttributes[f]
p4893
sg8
(lp4894
(dp4895
g11
(lp4896
sg13
V\u005cleft\u005c{\u005ctext{Listable}\u005cright\u005c}
p4897
sg15
I7
sass(g1696
g4842
VClearAttributes
p4898
I0
tp4899
(dp4900
g6
VSetAttributes[f, Flat]
p4901
sg8
(lp4902
(dp4903
g11
(lp4904
sg13
Nsg15
I1
sass(g1696
g4842
g4898
I1
tp4905
(dp4906
g6
VAttributes[f]
p4907
sg8
(lp4908
(dp4909
g11
(lp4910
sg13
V\u005cleft\u005c{\u005ctext{Flat}\u005cright\u005c}
p4911
sg15
I2
sass(g1696
g4842
g4898
I2
tp4912
(dp4913
g6
VClearAttributes[f, Flat]
p4914
sg8
(lp4915
(dp4916
g11
(lp4917
sg13
Nsg15
I3
sass(g1696
g4842
g4898
I3
tp4918
(dp4919
g6
VAttributes[f]
p4920
sg8
(lp4921
(dp4922
g11
(lp4923
sg13
V\u005cleft\u005c{\u005cright\u005c}
p4924
sg15
I4
sass(g1696
g4842
g4898
I4
tp4925
(dp4926
g6
VClearAttributes[{f}, {Flat}]
p4927
sg8
(lp4928
(dp4929
g11
(lp4930
sg13
Nsg15
I5
sass(g1696
g4842
g4898
I5
tp4931
(dp4932
g6
VAttributes[f]
p4933
sg8
(lp4934
(dp4935
g11
(lp4936
sg13
V\u005cleft\u005c{\u005cright\u005c}
p4937
sg15
I6
sass(g1696
g4842
VConstant
p4938
I0
tp4939
(dp4940
g6
VAttributes[E]
p4941
sg8
(lp4942
(dp4943
g11
(lp4944
sg13
V\u005cleft\u005c{\u005ctext{Constant},\u005ctext{Protected},\u005ctext{ReadProtected}\u005cright\u005c}
p4945
sg15
I1
sass(g1696
g4842
g4938
I1
tp4946
(dp4947
g6
VSolve[x + E == 0, E]
p4948
sg8
(lp4949
(dp4950
g11
(lp4951
(dp4952
g149
I01
sg150
VSolve
p4953
sg152
Vivar
p4954
sg154
VSolve::ivar
p4955
sg156
VE is not a valid variable.
p4956
sasg13
V\u005ctext{Solve}\u005cleft[E+x\u005ctext{==}0,E\u005cright]
p4957
sg15
I2
sass(g1696
g4842
VFlat
p4958
I0
tp4959
(dp4960
g6
VSetAttributes[f, Flat]
p4961
sg8
(lp4962
(dp4963
g11
(lp4964
sg13
Nsg15
I1
sass(g1696
g4842
g4958
I1
tp4965
(dp4966
g6
Vf[a, f[b, c]]
p4967
sg8
(lp4968
(dp4969
g11
(lp4970
sg13
Vf\u005cleft[a,b,c\u005cright]
p4971
sg15
I2
sass(g1696
g4842
g4958
I2
tp4972
(dp4973
g6
Vf[a, b, c] /. f[a, b] -> d
p4974
sg8
(lp4975
(dp4976
g11
(lp4977
sg13
Vf\u005cleft[d,c\u005cright]
p4978
sg15
I3
sass(g1696
g4842
VHoldAll
p4979
I0
tp4980
(dp4981
g6
VAttributes[Function]
p4982
sg8
(lp4983
(dp4984
g11
(lp4985
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p4986
sg15
I1
sass(g1696
g4842
VHoldAllComplete
p4987
I0
tp4988
(dp4989
g6
VSetAttributes[f, HoldAllComplete]
p4990
sg8
(lp4991
(dp4992
g11
(lp4993
sg13
Nsg15
I1
sass(g1696
g4842
g4987
I1
tp4994
(dp4995
g6
Vf[a] ^= 3;
p4996
sg8
(lp4997
(dp4998
g11
(lp4999
sg13
Nsg15
I2
sass(g1696
g4842
g4987
I2
tp5000
(dp5001
g6
Vf[a]
p5002
sg8
(lp5003
(dp5004
g11
(lp5005
sg13
Vf\u005cleft[a\u005cright]
p5006
sg15
I3
sass(g1696
g4842
g4987
I3
tp5007
(dp5008
g6
Vf[Sequence[a, b]]
p5009
sg8
(lp5010
(dp5011
g11
(lp5012
sg13
Vf\u005cleft[\u005ctext{Sequence}\u005cleft[a,b\u005cright]\u005cright]
p5013
sg15
I4
sass(g1696
g4842
VHoldFirst
p5014
I0
tp5015
(dp5016
g6
VAttributes[Set]
p5017
sg8
(lp5018
(dp5019
g11
(lp5020
sg13
V\u005cleft\u005c{\u005ctext{HoldFirst},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p5021
sg15
I1
sass(g1696
g4842
VHoldRest
p5022
I0
tp5023
(dp5024
g6
VAttributes[If]
p5025
sg8
(lp5026
(dp5027
g11
(lp5028
sg13
V\u005cleft\u005c{\u005ctext{HoldRest},\u005ctext{Protected}\u005cright\u005c}
p5029
sg15
I1
sass(g1696
g4842
VListable
p5030
I0
tp5031
(dp5032
g6
VSetAttributes[f, Listable]
p5033
sg8
(lp5034
(dp5035
g11
(lp5036
sg13
Nsg15
I1
sass(g1696
g4842
g5030
I1
tp5037
(dp5038
g6
Vf[{1, 2, 3}, {4, 5, 6}]
p5039
sg8
(lp5040
(dp5041
g11
(lp5042
sg13
V\u005cleft\u005c{f\u005cleft[1,4\u005cright],f\u005cleft[2,5\u005cright],f\u005cleft[3,6\u005cright]\u005cright\u005c}
p5043
sg15
I2
sass(g1696
g4842
g5030
I2
tp5044
(dp5045
g6
Vf[{1, 2, 3}, 4]
p5046
sg8
(lp5047
(dp5048
g11
(lp5049
sg13
V\u005cleft\u005c{f\u005cleft[1,4\u005cright],f\u005cleft[2,4\u005cright],f\u005cleft[3,4\u005cright]\u005cright\u005c}
p5050
sg15
I3
sass(g1696
g4842
g5030
I3
tp5051
(dp5052
g6
V{{1, 2}, {3, 4}} + {5, 6}
p5053
sg8
(lp5054
(dp5055
g11
(lp5056
sg13
V\u005cleft\u005c{\u005cleft\u005c{6,7\u005cright\u005c},\u005cleft\u005c{9,10\u005cright\u005c}\u005cright\u005c}
p5057
sg15
I4
sass(g1696
g4842
VLocked
p5058
I0
tp5059
(dp5060
g6
VAttributes[lock] = {Flat, Locked};
p5061
sg8
(lp5062
(dp5063
g11
(lp5064
sg13
Nsg15
I1
sass(g1696
g4842
g5058
I1
tp5065
(dp5066
g6
VSetAttributes[lock, {}]
p5067
sg8
(lp5068
(dp5069
g11
(lp5070
(dp5071
g149
I01
sg150
VSetAttributes
p5072
sg152
g3654
sg154
VSetAttributes::locked
p5073
sg156
VSymbol lock is locked.
p5074
sasg13
Nsg15
I2
sass(g1696
g4842
g5058
I2
tp5075
(dp5076
g6
VClearAttributes[lock, Flat]
p5077
sg8
(lp5078
(dp5079
g11
(lp5080
(dp5081
g149
I01
sg150
VClearAttributes
p5082
sg152
g3654
sg154
VClearAttributes::locked
p5083
sg156
VSymbol lock is locked.
p5084
sasg13
Nsg15
I3
sass(g1696
g4842
g5058
I3
tp5085
(dp5086
g6
VAttributes[lock] = {}
p5087
sg8
(lp5088
(dp5089
g11
(lp5090
(dp5091
g149
I01
sg150
VAttributes
p5092
sg152
g3654
sg154
VAttributes::locked
p5093
sg156
VSymbol lock is locked.
p5094
sasg13
V\u005cleft\u005c{\u005cright\u005c}
p5095
sg15
I4
sass(g1696
g4842
g5058
I4
tp5096
(dp5097
g6
VAttributes[lock]
p5098
sg8
(lp5099
(dp5100
g11
(lp5101
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Locked}\u005cright\u005c}
p5102
sg15
I5
sass(g1696
g4842
g5058
I5
tp5103
(dp5104
g6
Vlock = 3
p5105
sg8
(lp5106
(dp5107
g11
(lp5108
sg13
V3
p5109
sg15
I6
sass(g1696
g4842
VNHoldAll
p5110
I0
tp5111
(dp5112
g6
VN[f[2, 3]]
p5113
sg8
(lp5114
(dp5115
g11
(lp5116
sg13
Vf\u005cleft[2.,3.\u005cright]
p5117
sg15
I1
sass(g1696
g4842
g5110
I1
tp5118
(dp5119
g6
VSetAttributes[f, NHoldAll]
p5120
sg8
(lp5121
(dp5122
g11
(lp5123
sg13
Nsg15
I2
sass(g1696
g4842
g5110
I2
tp5124
(dp5125
g6
VN[f[2, 3]]
p5126
sg8
(lp5127
(dp5128
g11
(lp5129
sg13
Vf\u005cleft[2,3\u005cright]
p5130
sg15
I3
sass(g1696
g4842
VOneIdentity
p5131
I0
tp5132
(dp5133
g6
VSetAttributes[f, OneIdentity]
p5134
sg8
(lp5135
(dp5136
g11
(lp5137
sg13
Nsg15
I1
sass(g1696
g4842
g5131
I1
tp5138
(dp5139
g6
Va /. f[args___] -> {args}
p5140
sg8
(lp5141
(dp5142
g11
(lp5143
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p5144
sg15
I2
sass(g1696
g4842
g5131
I2
tp5145
(dp5146
g6
Vf[a]
p5147
sg8
(lp5148
(dp5149
g11
(lp5150
sg13
Vf\u005cleft[a\u005cright]
p5151
sg15
I3
sass(g1696
g4842
VOrderless
p5152
I0
tp5153
(dp5154
g6
VSetAttributes[f, Orderless]
p5155
sg8
(lp5156
(dp5157
g11
(lp5158
sg13
Nsg15
I1
sass(g1696
g4842
g5152
I1
tp5159
(dp5160
g6
Vf[c, a, b, a + b, 3, 1.0]
p5161
sg8
(lp5162
(dp5163
g11
(lp5164
sg13
Vf\u005cleft[1.,3,a,b,c,a+b\u005cright]
p5165
sg15
I2
sass(g1696
g4842
g5152
I2
tp5166
(dp5167
g6
Vf[a, b] == f[b, a]
p5168
sg8
(lp5169
(dp5170
g11
(lp5171
sg13
V\u005ctext{True}
p5172
sg15
I3
sass(g1696
g4842
g5152
I3
tp5173
(dp5174
g6
VSetAttributes[f, Flat]
p5175
sg8
(lp5176
(dp5177
g11
(lp5178
sg13
Nsg15
I4
sass(g1696
g4842
g5152
I4
tp5179
(dp5180
g6
Vf[a, b, c] /. f[a, c] -> d
p5181
sg8
(lp5182
(dp5183
g11
(lp5184
sg13
Vf\u005cleft[b,d\u005cright]
p5185
sg15
I5
sass(g1696
g4842
VProtect
p5186
I0
tp5187
(dp5188
g6
VA = {1, 2, 3};
p5189
sg8
(lp5190
(dp5191
g11
(lp5192
sg13
Nsg15
I1
sass(g1696
g4842
g5186
I1
tp5193
(dp5194
g6
VProtect[A]
p5195
sg8
(lp5196
(dp5197
g11
(lp5198
sg13
Nsg15
I2
sass(g1696
g4842
g5186
I2
tp5199
(dp5200
g6
VA[[2]] = 4;
p5201
sg8
(lp5202
(dp5203
g11
(lp5204
(dp5205
g149
I01
sg150
VSet
p5206
sg152
g3562
sg154
VSet::wrsym
p5207
sg156
VSymbol A is Protected.
p5208
sasg13
Nsg15
I3
sass(g1696
g4842
g5186
I3
tp5209
(dp5210
g6
g4409
sg8
(lp5211
(dp5212
g11
(lp5213
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p5214
sg15
I4
sass(g1696
g4842
VProtected
p5215
I0
tp5216
(dp5217
g6
VAttributes[p] = {Protected};
p5218
sg8
(lp5219
(dp5220
g11
(lp5221
sg13
Nsg15
I1
sass(g1696
g4842
g5215
I1
tp5222
(dp5223
g6
Vp = 2;
p5224
sg8
(lp5225
(dp5226
g11
(lp5227
(dp5228
g149
I01
sg150
VSet
p5229
sg152
g3562
sg154
VSet::wrsym
p5230
sg156
VSymbol p is Protected.
p5231
sasg13
Nsg15
I2
sass(g1696
g4842
g5215
I2
tp5232
(dp5233
g6
Vf[p] ^= 3;
p5234
sg8
(lp5235
(dp5236
g11
(lp5237
(dp5238
g149
I01
sg150
VUpSet
p5239
sg152
g1665
sg154
VUpSet::write
p5240
sg156
VTag p in f[p] is Protected.
p5241
sasg13
Nsg15
I3
sass(g1696
g4842
g5215
I3
tp5242
(dp5243
g6
VFormat[p] = "text";
p5244
sg8
(lp5245
(dp5246
g11
(lp5247
(dp5248
g149
I01
sg150
VSet
p5249
sg152
g3562
sg154
VSet::wrsym
p5250
sg156
VSymbol p is Protected.
p5251
sasg13
Nsg15
I4
sass(g1696
g4842
g5215
I4
tp5252
(dp5253
g6
VSetAttributes[p, Flat]
p5254
sg8
(lp5255
(dp5256
g11
(lp5257
sg13
Nsg15
I5
sass(g1696
g4842
g5215
I5
tp5258
(dp5259
g6
VAttributes[p]
p5260
sg8
(lp5261
(dp5262
g11
(lp5263
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Protected}\u005cright\u005c}
p5264
sg15
I6
sass(g1696
g4842
g5215
I6
tp5265
(dp5266
g6
VAttributes[p] = {};
p5267
sg8
(lp5268
(dp5269
g11
(lp5270
sg13
Nsg15
I7
sass(g1696
g4842
g5215
I7
tp5271
(dp5272
g6
Vp = 2
p5273
sg8
(lp5274
(dp5275
g11
(lp5276
sg13
V2
p5277
sg15
I8
sass(g1696
g4842
g5215
I8
tp5278
(dp5279
g6
VProtect[p]
p5280
sg8
(lp5281
(dp5282
g11
(lp5283
sg13
Nsg15
I9
sass(g1696
g4842
g5215
I9
tp5284
(dp5285
g6
VAttributes[p]
p5286
sg8
(lp5287
(dp5288
g11
(lp5289
sg13
V\u005cleft\u005c{\u005ctext{Protected}\u005cright\u005c}
p5290
sg15
I10
sass(g1696
g4842
g5215
I10
tp5291
(dp5292
g6
VUnprotect[p]
p5293
sg8
(lp5294
(dp5295
g11
(lp5296
sg13
Nsg15
I11
sass(g1696
g4842
g5215
I11
tp5297
(dp5298
g6
VSetAttributes[p, {Protected, Locked}]
p5299
sg8
(lp5300
(dp5301
g11
(lp5302
sg13
Nsg15
I12
sass(g1696
g4842
g5215
I12
tp5303
(dp5304
g6
Vp = 2
p5305
sg8
(lp5306
(dp5307
g11
(lp5308
(dp5309
g149
I01
sg150
VSet
p5310
sg152
g3562
sg154
VSet::wrsym
p5311
sg156
VSymbol p is Protected.
p5312
sasg13
V2
p5313
sg15
I13
sass(g1696
g4842
g5215
I13
tp5314
(dp5315
g6
VUnprotect[p]
p5316
sg8
(lp5317
(dp5318
g11
(lp5319
(dp5320
g149
I01
sg150
VClearAttributes
p5321
sg152
g3654
sg154
VClearAttributes::locked
p5322
sg156
VSymbol p is locked.
p5323
sasg13
Nsg15
I14
sass(g1696
g4842
VReadProtected
p5324
I0
tp5325
(dp5326
g6
VClearAll[p]
p5327
sg8
(lp5328
(dp5329
g11
(lp5330
sg13
Nsg15
I1
sass(g1696
g4842
g5324
I1
tp5331
(dp5332
g6
Vp = 3;
p5333
sg8
(lp5334
(dp5335
g11
(lp5336
sg13
Nsg15
I2
sass(g1696
g4842
g5324
I2
tp5337
(dp5338
g6
VDefinition[p]
p5339
sg8
(lp5340
(dp5341
g11
(lp5342
sg13
V\u005cbegin{array}{l} p=3\u005cend{array}
p5343
sg15
I3
sass(g1696
g4842
g5324
I3
tp5344
(dp5345
g6
VSetAttributes[p, ReadProtected]
p5346
sg8
(lp5347
(dp5348
g11
(lp5349
sg13
Nsg15
I4
sass(g1696
g4842
g5324
I4
tp5350
(dp5351
g6
VDefinition[p]
p5352
sg8
(lp5353
(dp5354
g11
(lp5355
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[p\u005cright]=\u005cleft\u005c{\u005ctext{ReadProtected}\u005cright\u005c}\u005cend{array}
p5356
sg15
I5
sass(g1696
g4842
VSequenceHold
p5357
I0
tp5358
(dp5359
g6
Vf[Sequence[a, b]]
p5360
sg8
(lp5361
(dp5362
g11
(lp5363
sg13
Vf\u005cleft[a,b\u005cright]
p5364
sg15
I1
sass(g1696
g4842
g5357
I1
tp5365
(dp5366
g6
VSetAttributes[f, SequenceHold]
p5367
sg8
(lp5368
(dp5369
g11
(lp5370
sg13
Nsg15
I2
sass(g1696
g4842
g5357
I2
tp5371
(dp5372
g6
Vf[Sequence[a, b]]
p5373
sg8
(lp5374
(dp5375
g11
(lp5376
sg13
Vf\u005cleft[\u005ctext{Sequence}\u005cleft[a,b\u005cright]\u005cright]
p5377
sg15
I3
sass(g1696
g4842
g5357
I3
tp5378
(dp5379
g6
Vs = Sequence[a, b];
p5380
sg8
(lp5381
(dp5382
g11
(lp5383
sg13
Nsg15
I4
sass(g1696
g4842
g5357
I4
tp5384
(dp5385
g6
Vs
p5386
sg8
(lp5387
(dp5388
g11
(lp5389
sg13
V\u005ctext{Sequence}\u005cleft[a,b\u005cright]
p5390
sg15
I5
sass(g1696
g4842
g5357
I5
tp5391
(dp5392
g6
VPlus[s]
p5393
sg8
(lp5394
(dp5395
g11
(lp5396
sg13
Va+b
p5397
sg15
I6
sass(g1696
g4842
VSetAttributes
p5398
I0
tp5399
(dp5400
g6
VSetAttributes[f, Flat]
p5401
sg8
(lp5402
(dp5403
g11
(lp5404
sg13
Nsg15
I1
sass(g1696
g4842
g5398
I1
tp5405
(dp5406
g6
VAttributes[f]
p5407
sg8
(lp5408
(dp5409
g11
(lp5410
sg13
V\u005cleft\u005c{\u005ctext{Flat}\u005cright\u005c}
p5411
sg15
I2
sass(g1696
g4842
g5398
I2
tp5412
(dp5413
g6
VSetAttributes[{f, g}, {Flat, Orderless}]
p5414
sg8
(lp5415
(dp5416
g11
(lp5417
sg13
Nsg15
I3
sass(g1696
g4842
g5398
I3
tp5418
(dp5419
g6
VAttributes[g]
p5420
sg8
(lp5421
(dp5422
g11
(lp5423
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p5424
sg15
I4
sass(g1696
VCalculus
p5425
VD
p5426
I0
tp5427
(dp5428
g6
VD[x^3 + x^2, x]
p5429
sg8
(lp5430
(dp5431
g11
(lp5432
sg13
V2 x+3 x^2
p5433
sg15
I1
sass(g1696
g5425
g5426
I1
tp5434
(dp5435
g6
VD[x^3 + x^2, {x, 2}]
p5436
sg8
(lp5437
(dp5438
g11
(lp5439
sg13
V2+6 x
p5440
sg15
I2
sass(g1696
g5425
g5426
I2
tp5441
(dp5442
g6
VD[Sin[Cos[x]], x]
p5443
sg8
(lp5444
(dp5445
g11
(lp5446
sg13
V-\u005ctext{Cos}\u005cleft[\u005ctext{Cos}\u005cleft[x\u005cright]\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright]
p5447
sg15
I3
sass(g1696
g5425
g5426
I3
tp5448
(dp5449
g6
VD[Sin[x], {x, 2}]
p5450
sg8
(lp5451
(dp5452
g11
(lp5453
sg13
V-\u005ctext{Sin}\u005cleft[x\u005cright]
p5454
sg15
I4
sass(g1696
g5425
g5426
I4
tp5455
(dp5456
g6
VD[Cos[t], {t, 2}]
p5457
sg8
(lp5458
(dp5459
g11
(lp5460
sg13
V-\u005ctext{Cos}\u005cleft[t\u005cright]
p5461
sg15
I5
sass(g1696
g5425
g5426
I5
tp5462
(dp5463
g6
VD[y, x]
p5464
sg8
(lp5465
(dp5466
g11
(lp5467
sg13
V0
p5468
sg15
I6
sass(g1696
g5425
g5426
I6
tp5469
(dp5470
g6
VD[x, x]
p5471
sg8
(lp5472
(dp5473
g11
(lp5474
sg13
V1
p5475
sg15
I7
sass(g1696
g5425
g5426
I7
tp5476
(dp5477
g6
VD[x + y, x]
p5478
sg8
(lp5479
(dp5480
g11
(lp5481
sg13
V1
p5482
sg15
I8
sass(g1696
g5425
g5426
I8
tp5483
(dp5484
g6
VD[f[x], x]
p5485
sg8
(lp5486
(dp5487
g11
(lp5488
sg13
Vf'\u005cleft[x\u005cright]
p5489
sg15
I9
sass(g1696
g5425
g5426
I9
tp5490
(dp5491
g6
VD[f[x, x], x]
p5492
sg8
(lp5493
(dp5494
g11
(lp5495
sg13
Vf^{\u005cleft(0,1\u005cright)}\u005cleft[x,x\u005cright]+f^{\u005cleft(1,0\u005cright)}\u005cleft[x,x\u005cright]
p5496
sg15
I10
sass(g1696
g5425
g5426
I10
tp5497
(dp5498
g6
VD[f[x, x], x] // InputForm
p5499
sg8
(lp5500
(dp5501
g11
(lp5502
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]
p5503
sg15
I11
sass(g1696
g5425
g5426
I11
tp5504
(dp5505
g6
VD[f[2x+1, 2y, x+y], x]
p5506
sg8
(lp5507
(dp5508
g11
(lp5509
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]
p5510
sg15
I12
sass(g1696
g5425
g5426
I12
tp5511
(dp5512
g6
VD[f[x^2, x, 2y], {x,2}, y] // Expand
p5513
sg8
(lp5514
(dp5515
g11
(lp5516
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]
p5517
sg15
I13
sass(g1696
g5425
g5426
I13
tp5518
(dp5519
g6
VD[x ^ 3 * Cos[y], {{x, y}}]
p5520
sg8
(lp5521
(dp5522
g11
(lp5523
sg13
V\u005cleft\u005c{3 x^2 \u005ctext{Cos}\u005cleft[y\u005cright],-x^3 \u005ctext{Sin}\u005cleft[y\u005cright]\u005cright\u005c}
p5524
sg15
I14
sass(g1696
g5425
g5426
I14
tp5525
(dp5526
g6
VD[Sin[x] * Cos[y], {{x,y}, 2}]
p5527
sg8
(lp5528
(dp5529
g11
(lp5530
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}
p5531
sg15
I15
sass(g1696
g5425
VDerivative
p5532
I0
tp5533
(dp5534
g6
VDerivative[1][Sin]
p5535
sg8
(lp5536
(dp5537
g11
(lp5538
sg13
V\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p5539
sg15
I1
sass(g1696
g5425
g5532
I1
tp5540
(dp5541
g6
VDerivative[3][Sin]
p5542
sg8
(lp5543
(dp5544
g11
(lp5545
sg13
V-\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p5546
sg15
I2
sass(g1696
g5425
g5532
I2
tp5547
(dp5548
g6
VDerivative[2][# ^ 3&]
p5549
sg8
(lp5550
(dp5551
g11
(lp5552
sg13
V6 \u005ctext{\u005c#1}\u005c&
p5553
sg15
I3
sass(g1696
g5425
g5532
I3
tp5554
(dp5555
g6
VSin'[x]
p5556
sg8
(lp5557
(dp5558
g11
(lp5559
sg13
V\u005ctext{Cos}\u005cleft[x\u005cright]
p5560
sg15
I4
sass(g1696
g5425
g5532
I4
tp5561
(dp5562
g6
V(# ^ 4&)''
p5563
sg8
(lp5564
(dp5565
g11
(lp5566
sg13
V12 \u005ctext{\u005c#1}^2\u005c&
p5567
sg15
I5
sass(g1696
g5425
g5532
I5
tp5568
(dp5569
g6
Vf'[x] // InputForm
p5570
sg8
(lp5571
(dp5572
g11
(lp5573
sg13
V\u005ctext{Derivative}\u005cleft[1\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p5574
sg15
I6
sass(g1696
g5425
g5532
I6
tp5575
(dp5576
g6
VDerivative[1][#2 Sin[#1]+Cos[#2]&]
p5577
sg8
(lp5578
(dp5579
g11
(lp5580
sg13
V\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright] \u005ctext{\u005c#2}\u005c&
p5581
sg15
I7
sass(g1696
g5425
g5532
I7
tp5582
(dp5583
g6
VDerivative[1,2][#2^3 Sin[#1]+Cos[#2]&]
p5584
sg8
(lp5585
(dp5586
g11
(lp5587
sg13
V6 \u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright] \u005ctext{\u005c#2}\u005c&
p5588
sg15
I8
sass(g1696
g5425
g5532
I8
tp5589
(dp5590
g6
VDerivative[1,2,1][#2^3 Sin[#1]+Cos[#2]&]
p5591
sg8
(lp5592
(dp5593
g11
(lp5594
sg13
V0\u005c&
p5595
sg15
I9
sass(g1696
g5425
g5532
I9
tp5596
(dp5597
g6
VDerivative[0,0,0][a+b+c]
p5598
sg8
(lp5599
(dp5600
g11
(lp5601
sg13
Va+b+c
p5602
sg15
I10
sass(g1696
g5425
g5532
I10
tp5603
(dp5604
g6
Vf[x_] := x ^ 2
p5605
sg8
(lp5606
(dp5607
g11
(lp5608
sg13
Nsg15
I11
sass(g1696
g5425
g5532
I11
tp5609
(dp5610
g6
Vf'[x]
p5611
sg8
(lp5612
(dp5613
g11
(lp5614
sg13
V2 x
p5615
sg15
I12
sass(g1696
g5425
g5532
I12
tp5616
(dp5617
g6
VDerivative[2, 1][h]
p5618
sg8
(lp5619
(dp5620
g11
(lp5621
sg13
Vh^{\u005cleft(2,1\u005cright)}
p5622
sg15
I13
sass(g1696
g5425
g5532
I13
tp5623
(dp5624
g6
VDerivative[2, 0, 1, 0][h[g]]
p5625
sg8
(lp5626
(dp5627
g11
(lp5628
sg13
Vh\u005cleft[g\u005cright]^{\u005cleft(2,0,1,0\u005cright)}
p5629
sg15
I14
sass(g1696
g5425
VDiscreteLimit
p5630
I0
tp5631
(dp5632
g6
VDiscreteLimit[n/(n + 1), n -> Infinity]
p5633
sg8
(lp5634
(dp5635
g11
(lp5636
sg13
V1
p5637
sg15
I1
sass(g1696
g5425
g5630
I1
tp5638
(dp5639
g6
VDiscreteLimit[f[n], n -> Infinity]
p5640
sg8
(lp5641
(dp5642
g11
(lp5643
sg13
Vf\u005cleft[\u005cinfty \u005cright]
p5644
sg15
I2
sass(g1696
g5425
VFindRoot
p5645
I0
tp5646
(dp5647
g6
VFindRoot[Cos[x], {x, 1}]
p5648
sg8
(lp5649
(dp5650
g11
(lp5651
sg13
V\u005cleft\u005c{x->1.5708\u005cright\u005c}
p5652
sg15
I1
sass(g1696
g5425
g5645
I1
tp5653
(dp5654
g6
VFindRoot[Sin[x] + Exp[x],{x, 0}]
p5655
sg8
(lp5656
(dp5657
g11
(lp5658
sg13
V\u005cleft\u005c{x->-0.588533\u005cright\u005c}
p5659
sg15
I2
sass(g1696
g5425
g5645
I2
tp5660
(dp5661
g6
VFindRoot[Sin[x] + Exp[x] == Pi,{x, 0}]
p5662
sg8
(lp5663
(dp5664
g11
(lp5665
sg13
V\u005cleft\u005c{x->0.866815\u005cright\u005c}
p5666
sg15
I3
sass(g1696
g5425
g5645
I3
tp5667
(dp5668
g6
Vx = 3;
p5669
sg8
(lp5670
(dp5671
g11
(lp5672
sg13
Nsg15
I4
sass(g1696
g5425
g5645
I4
tp5673
(dp5674
g6
VFindRoot[Tan[x] + Sin[x] == Pi, {x, 1}]
p5675
sg8
(lp5676
(dp5677
g11
(lp5678
sg13
V\u005cleft\u005c{3->1.14911\u005cright\u005c}
p5679
sg15
I5
sass(g1696
g5425
g5645
I5
tp5680
(dp5681
g6
VClear[x]
p5682
sg8
(lp5683
(dp5684
g11
(lp5685
sg13
Nsg15
I6
sass(g1696
g5425
g5645
I6
tp5686
(dp5687
g6
VFindRoot[x^2 + x + 1, {x, 1}]
p5688
sg8
(lp5689
(dp5690
g11
(lp5691
(dp5692
g149
I01
sg150
VFindRoot
p5693
sg152
Vmaxiter
p5694
sg154
VFindRoot::maxiter
p5695
sg156
VThe maximum number of iterations was exceeded. The result might be inaccurate.
p5696
sasg13
V\u005cleft\u005c{x->-1.\u005cright\u005c}
p5697
sg15
I7
sass(g1696
g5425
g5645
I7
tp5698
(dp5699
g6
VFindRoot[x ^ 2 + x + 1, {x, -I}]
p5700
sg8
(lp5701
(dp5702
g11
(lp5703
sg13
V\u005cleft\u005c{x->-0.5-0.866025 I\u005cright\u005c}
p5704
sg15
I8
sass(g1696
g5425
g5645
I8
tp5705
(dp5706
g6
VFindRoot[f[x] == 0, {x, 0}]
p5707
sg8
(lp5708
(dp5709
g11
(lp5710
(dp5711
g149
I01
sg150
VFindRoot
p5712
sg152
Vnnum
p5713
sg154
VFindRoot::nnum
p5714
sg156
VThe function value is not a number at x = 0..
p5715
sasg13
V\u005ctext{FindRoot}\u005cleft[f\u005cleft[x\u005cright]-0,\u005cleft\u005c{x,0\u005cright\u005c}\u005cright]
p5716
sg15
I9
sass(g1696
g5425
g5645
I9
tp5717
(dp5718
g6
VFindRoot[Sin[x] == x, {x, 0}]
p5719
sg8
(lp5720
(dp5721
g11
(lp5722
(dp5723
g149
I01
sg150
VFindRoot
p5724
sg152
Vdsing
p5725
sg154
VFindRoot::dsing
p5726
sg156
VEncountered a singular derivative at the point x = 0..
p5727
sasg13
V\u005ctext{FindRoot}\u005cleft[\u005ctext{Sin}\u005cleft[x\u005cright]-x,\u005cleft\u005c{x,0\u005cright\u005c}\u005cright]
p5728
sg15
I10
sass(g1696
g5425
VIntegers
p5729
I0
tp5730
(dp5731
g6
VSolve[-4 - 4 x + x^4 + x^5 == 0, x, Integers]
p5732
sg8
(lp5733
(dp5734
g11
(lp5735
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c}\u005cright\u005c}
p5736
sg15
I1
sass(g1696
g5425
g5729
I1
tp5737
(dp5738
g6
VSolve[x^4 == 4, x, Integers]
p5739
sg8
(lp5740
(dp5741
g11
(lp5742
sg13
V\u005cleft\u005c{\u005cright\u005c}
p5743
sg15
I2
sass(g1696
g5425
VIntegrate
p5744
I0
tp5745
(dp5746
g6
VIntegrate[6 x ^ 2 + 3 x ^ 2 - 4 x + 10, x]
p5747
sg8
(lp5748
(dp5749
g11
(lp5750
sg13
V10 x-2 x^2+3 x^3
p5751
sg15
I1
sass(g1696
g5425
g5744
I1
tp5752
(dp5753
g6
VIntegrate[Sin[x] ^ 5, x]
p5754
sg8
(lp5755
(dp5756
g11
(lp5757
sg13
V-\u005ctext{Cos}\u005cleft[x\u005cright]-\u005cfrac{\u005ctext{Cos}\u005cleft[x\u005cright]^5}{5}+\u005cfrac{2 \u005ctext{Cos}\u005cleft[x\u005cright]^3}{3}
p5758
sg15
I2
sass(g1696
g5425
g5744
I2
tp5759
(dp5760
g6
VIntegrate[x ^ 2 + x, {x, 1, 3}]
p5761
sg8
(lp5762
(dp5763
g11
(lp5764
sg13
V\u005cfrac{38}{3}
p5765
sg15
I3
sass(g1696
g5425
g5744
I3
tp5766
(dp5767
g6
VIntegrate[Sin[x], {x, 0, Pi/2}]
p5768
sg8
(lp5769
(dp5770
g11
(lp5771
sg13
V1
p5772
sg15
I4
sass(g1696
g5425
g5744
I4
tp5773
(dp5774
g6
VIntegrate[1 / (1 - 4 x + x^2), x]
p5775
sg8
(lp5776
(dp5777
g11
(lp5778
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}
p5779
sg15
I5
sass(g1696
g5425
g5744
I5
tp5780
(dp5781
g6
VIntegrate[4 Sin[x] Cos[x], x]
p5782
sg8
(lp5783
(dp5784
g11
(lp5785
sg13
V2 \u005ctext{Sin}\u005cleft[x\u005cright]^2
p5786
sg15
I6
sass(g1696
g5425
g5744
I7
tp5787
(dp5788
g6
VIntegrate[f[x], {x, a, b}] // TeXForm
p5789
sg8
(lp5790
(dp5791
g11
(lp5792
sg13
V\u005ctext{$\u005cbackslash$int\u005c_a${}^{\u005cwedge}$bf$\u005cbackslash$left[x$\u005cbackslash$right] $\u005cbackslash$, dx}
p5793
sg15
I7
sass(g1696
g5425
g5744
I13
tp5794
(dp5795
g6
VIntegrate[Abs[Sin[phi]], {phi, 0, 2Pi}] // N
p5796
sg8
(lp5797
(dp5798
g11
(lp5799
sg13
V4.
p5800
sg15
I8
sass(g1696
g5425
g5744
I14
tp5801
(dp5802
g6
V% // Precision
p5803
sg8
(lp5804
(dp5805
g11
(lp5806
sg13
V\u005ctext{MachinePrecision}
p5807
sg15
I9
sass(g1696
g5425
g5744
I20
tp5808
(dp5809
g6
VIntegrate[ArcSin[x / 3], x]
p5810
sg8
(lp5811
(dp5812
g11
(lp5813
sg13
Vx \u005ctext{ArcSin}\u005cleft[\u005cfrac{x}{3}\u005cright]+\u005csqrt{9-x^2}
p5814
sg15
I10
sass(g1696
g5425
g5744
I21
tp5815
(dp5816
g6
VIntegrate[f'[x], {x, a, b}]
p5817
sg8
(lp5818
(dp5819
g11
(lp5820
sg13
Vf\u005cleft[b\u005cright]-f\u005cleft[a\u005cright]
p5821
sg15
I11
sass(g1696
g5425
VLimit
p5822
I0
tp5823
(dp5824
g6
VLimit[x, x->2]
p5825
sg8
(lp5826
(dp5827
g11
(lp5828
sg13
V2
p5829
sg15
I1
sass(g1696
g5425
g5822
I1
tp5830
(dp5831
g6
VLimit[Sin[x] / x, x->0]
p5832
sg8
(lp5833
(dp5834
g11
(lp5835
sg13
V1
p5836
sg15
I2
sass(g1696
g5425
g5822
I2
tp5837
(dp5838
g6
VLimit[1/x, x->0, Direction->-1]
p5839
sg8
(lp5840
(dp5841
g11
(lp5842
sg13
g165
sg15
I3
sass(g1696
g5425
g5822
I3
tp5843
(dp5844
g6
VLimit[1/x, x->0, Direction->1]
p5845
sg8
(lp5846
(dp5847
g11
(lp5848
sg13
V-\u005cinfty 
p5849
sg15
I4
sass(g1696
g5425
VReals
p5850
I0
tp5851
(dp5852
g6
VSolve[x^3 == 1, x, Reals]
p5853
sg8
(lp5854
(dp5855
g11
(lp5856
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p5857
sg15
I1
sass(g1696
g5425
VRoot
p5858
I0
tp5859
(dp5860
g6
VRoot[#1 ^ 2 - 1&, 1]
p5861
sg8
(lp5862
(dp5863
g11
(lp5864
sg13
V-1
p5865
sg15
I1
sass(g1696
g5425
g5858
I1
tp5866
(dp5867
g6
VRoot[#1 ^ 2 - 1&, 2]
p5868
sg8
(lp5869
(dp5870
g11
(lp5871
sg13
V1
p5872
sg15
I2
sass(g1696
g5425
g5858
I2
tp5873
(dp5874
g6
VRoot[#1 ^ 5 + 2 #1 + 1&, 2]
p5875
sg8
(lp5876
(dp5877
g11
(lp5878
sg13
V\u005ctext{Root}\u005cleft[\u005ctext{\u005c#1}^5+2 \u005ctext{\u005c#1}+1\u005c&,2\u005cright]
p5879
sg15
I3
sass(g1696
g5425
VSolve
p5880
I0
tp5881
(dp5882
g6
VSolve[x ^ 2 - 3 x == 4, x]
p5883
sg8
(lp5884
(dp5885
g11
(lp5886
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->4\u005cright\u005c}\u005cright\u005c}
p5887
sg15
I1
sass(g1696
g5425
g5880
I1
tp5888
(dp5889
g6
VSolve[4 y - 8 == 0, y]
p5890
sg8
(lp5891
(dp5892
g11
(lp5893
sg13
V\u005cleft\u005c{\u005cleft\u005c{y->2\u005cright\u005c}\u005cright\u005c}
p5894
sg15
I2
sass(g1696
g5425
g5880
I2
tp5895
(dp5896
g6
Vsol = Solve[2 x^2 - 10 x - 12 == 0, x]
p5897
sg8
(lp5898
(dp5899
g11
(lp5900
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->6\u005cright\u005c}\u005cright\u005c}
p5901
sg15
I3
sass(g1696
g5425
g5880
I3
tp5902
(dp5903
g6
Vx /. sol
p5904
sg8
(lp5905
(dp5906
g11
(lp5907
sg13
V\u005cleft\u005c{-1,6\u005cright\u005c}
p5908
sg15
I4
sass(g1696
g5425
g5880
I4
tp5909
(dp5910
g6
VSolve[x + 1 == x, x]
p5911
sg8
(lp5912
(dp5913
g11
(lp5914
sg13
V\u005cleft\u005c{\u005cright\u005c}
p5915
sg15
I5
sass(g1696
g5425
g5880
I5
tp5916
(dp5917
g6
VSolve[x ^ 2 == x ^ 2, x]
p5918
sg8
(lp5919
(dp5920
g11
(lp5921
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p5922
sg15
I6
sass(g1696
g5425
g5880
I6
tp5923
(dp5924
g6
VSolve[x / (x ^ 2 + 1) == 1, x]
p5925
sg8
(lp5926
(dp5927
g11
(lp5928
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}
p5929
sg15
I7
sass(g1696
g5425
g5880
I7
tp5930
(dp5931
g6
VSolve[(x^2 + 3 x + 2)/(4 x - 2) == 0, x]
p5932
sg8
(lp5933
(dp5934
g11
(lp5935
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-2\u005cright\u005c},\u005cleft\u005c{x->-1\u005cright\u005c}\u005cright\u005c}
p5936
sg15
I8
sass(g1696
g5425
g5880
I8
tp5937
(dp5938
g6
VSolve[Cos[x] == 0, x]
p5939
sg8
(lp5940
(dp5941
g11
(lp5942
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}
p5943
sg15
I9
sass(g1696
g5425
g5880
I9
tp5944
(dp5945
g6
VSolve[f[x + y] == 3, f[x + y]]
p5946
sg8
(lp5947
(dp5948
g11
(lp5949
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[x+y\u005cright]->3\u005cright\u005c}\u005cright\u005c}
p5950
sg15
I10
sass(g1696
g5425
g5880
I10
tp5951
(dp5952
g6
VSolve[a + b == 2, a + b]
p5953
sg8
(lp5954
(dp5955
g11
(lp5956
(dp5957
g149
I01
sg150
VSolve
p5958
sg152
g4954
sg154
VSolve::ivar
p5959
sg156
Va + b is not a valid variable.
p5960
sasg13
V\u005ctext{Solve}\u005cleft[a+b\u005ctext{==}2,a+b\u005cright]
p5961
sg15
I11
sass(g1696
g5425
g5880
I11
tp5962
(dp5963
g6
Vx = 3;
p5964
sg8
(lp5965
(dp5966
g11
(lp5967
sg13
Nsg15
I12
sass(g1696
g5425
g5880
I12
tp5968
(dp5969
g6
VSolve[x == 2, x]
p5970
sg8
(lp5971
(dp5972
g11
(lp5973
(dp5974
g149
I01
sg150
VSolve
p5975
sg152
g4954
sg154
VSolve::ivar
p5976
sg156
V3 is not a valid variable.
p5977
sasg13
V\u005ctext{Solve}\u005cleft[\u005ctext{False},3\u005cright]
p5978
sg15
I13
sass(g1696
g5425
g5880
I13
tp5979
(dp5980
g6
VClear[x]
p5981
sg8
(lp5982
(dp5983
g11
(lp5984
sg13
Nsg15
I14
sass(g1696
g5425
g5880
I14
tp5985
(dp5986
g6
VSolve[a < b, a]
p5987
sg8
(lp5988
(dp5989
g11
(lp5990
(dp5991
g149
I01
sg150
VSolve
p5992
sg152
Veqf
p5993
sg154
VSolve::eqf
p5994
sg156
Va < b is not a well-formed equation.
p5995
sasg13
V\u005ctext{Solve}\u005cleft[a<b,a\u005cright]
p5996
sg15
I15
sass(g1696
g5425
g5880
I15
tp5997
(dp5998
g6
Veqs = {3 x ^ 2 - 3 y == 0, 3 y ^ 2 - 3 x == 0};
p5999
sg8
(lp6000
(dp6001
g11
(lp6002
sg13
Nsg15
I16
sass(g1696
g5425
g5880
I16
tp6003
(dp6004
g6
Vsol = Solve[eqs, {x, y}] // Simplify
p6005
sg8
(lp6006
(dp6007
g11
(lp6008
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}
p6009
sg15
I17
sass(g1696
g5425
g5880
I17
tp6010
(dp6011
g6
Veqs /. sol // Simplify
p6012
sg8
(lp6013
(dp6014
g11
(lp6015
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c}\u005cright\u005c}
p6016
sg15
I18
sass(g1696
g5425
g5880
I18
tp6017
(dp6018
g6
VSolve[x^2 == 1 && z^2 == -1, {x, y, z}]
p6019
sg8
(lp6020
(dp6021
g11
(lp6022
(dp6023
g149
I01
sg150
VSolve
p6024
sg152
Vsvars
p6025
sg154
VSolve::svars
p6026
sg156
VEquations may not give solutions for all "solve" variables.
p6027
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}
p6028
sg15
I19
sass(g1696
g5425
g5880
I19
tp6029
(dp6030
g6
VSolve[x^2 == -1, x, Reals]
p6031
sg8
(lp6032
(dp6033
g11
(lp6034
sg13
V\u005cleft\u005c{\u005cright\u005c}
p6035
sg15
I20
sass(g1696
g5425
g5880
I20
tp6036
(dp6037
g6
VSolve[x^2 == 1, x, Reals]
p6038
sg8
(lp6039
(dp6040
g11
(lp6041
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p6042
sg15
I21
sass(g1696
g5425
g5880
I21
tp6043
(dp6044
g6
VSolve[x^2 == -1, x, Complexes]
p6045
sg8
(lp6046
(dp6047
g11
(lp6048
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-I\u005cright\u005c},\u005cleft\u005c{x->I\u005cright\u005c}\u005cright\u005c}
p6049
sg15
I22
sass(g1696
g5425
g5880
I22
tp6050
(dp6051
g6
VSolve[4 - 4 * x^2 - x^4 + x^6 == 0, x, Integers]
p6052
sg8
(lp6053
(dp6054
g11
(lp6055
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p6056
sg15
I23
sass(g1696
VCombinatorial Functions
p6057
VBinomial
p6058
I0
tp6059
(dp6060
g6
VBinomial[5, 3]
p6061
sg8
(lp6062
(dp6063
g11
(lp6064
sg13
V10
p6065
sg15
I1
sass(g1696
g6057
g6058
I1
tp6066
(dp6067
g6
VBinomial[10.5,3.2]
p6068
sg8
(lp6069
(dp6070
g11
(lp6071
sg13
V165.286
p6072
sg15
I2
sass(g1696
g6057
g6058
I2
tp6073
(dp6074
g6
VBinomial[10, -2]
p6075
sg8
(lp6076
(dp6077
g11
(lp6078
sg13
V0
p6079
sg15
I3
sass(g1696
g6057
g6058
I3
tp6080
(dp6081
g6
VBinomial[-10.5, -3.5]
p6082
sg8
(lp6083
(dp6084
g11
(lp6085
sg13
V0.
p6086
sg15
I4
sass(g1696
g6057
VDiceDissimilarity
p6087
I0
tp6088
(dp6089
g6
VDiceDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p6090
sg8
(lp6091
(dp6092
g11
(lp6093
sg13
V\u005cfrac{1}{2}
p6094
sg15
I1
sass(g1696
g6057
VFibonacci
p6095
I0
tp6096
(dp6097
g6
VFibonacci[0]
p6098
sg8
(lp6099
(dp6100
g11
(lp6101
sg13
V0
p6102
sg15
I1
sass(g1696
g6057
g6095
I1
tp6103
(dp6104
g6
VFibonacci[1]
p6105
sg8
(lp6106
(dp6107
g11
(lp6108
sg13
V1
p6109
sg15
I2
sass(g1696
g6057
g6095
I2
tp6110
(dp6111
g6
VFibonacci[10]
p6112
sg8
(lp6113
(dp6114
g11
(lp6115
sg13
V55
p6116
sg15
I3
sass(g1696
g6057
g6095
I3
tp6117
(dp6118
g6
VFibonacci[200]
p6119
sg8
(lp6120
(dp6121
g11
(lp6122
sg13
V280571172992510140037611932413038677189525
p6123
sg15
I4
sass(g1696
g6057
VJaccardDissimilarity
p6124
I0
tp6125
(dp6126
g6
VJaccardDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p6127
sg8
(lp6128
(dp6129
g11
(lp6130
sg13
V\u005cfrac{2}{3}
p6131
sg15
I1
sass(g1696
g6057
VMatchingDissimilarity
p6132
I0
tp6133
(dp6134
g6
VMatchingDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p6135
sg8
(lp6136
(dp6137
g11
(lp6138
sg13
V\u005cfrac{4}{7}
p6139
sg15
I1
sass(g1696
g6057
VMultinomial
p6140
I0
tp6141
(dp6142
g6
VMultinomial[2, 3, 4, 5]
p6143
sg8
(lp6144
(dp6145
g11
(lp6146
sg13
V2522520
p6147
sg15
I1
sass(g1696
g6057
g6140
I1
tp6148
(dp6149
g6
VMultinomial[]
p6150
sg8
(lp6151
(dp6152
g11
(lp6153
sg13
V1
p6154
sg15
I2
sass(g1696
g6057
g6140
I2
tp6155
(dp6156
g6
VMultinomial[a, b, c]
p6157
sg8
(lp6158
(dp6159
g11
(lp6160
sg13
V\u005ctext{Binomial}\u005cleft[a,a\u005cright] \u005ctext{Binomial}\u005cleft[a+b,b\u005cright] \u005ctext{Binomial}\u005cleft[a+b+c,c\u005cright]
p6161
sg15
I3
sass(g1696
g6057
g6140
I3
tp6162
(dp6163
g6
VMultinomial[2, 3]
p6164
sg8
(lp6165
(dp6166
g11
(lp6167
sg13
V10
p6168
sg15
I4
sass(g1696
g6057
VRogersTanimotoDissimilarity
p6169
I0
tp6170
(dp6171
g6
VRogersTanimotoDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p6172
sg8
(lp6173
(dp6174
g11
(lp6175
sg13
V\u005cfrac{8}{11}
p6176
sg15
I1
sass(g1696
g6057
VRussellRaoDissimilarity
p6177
I0
tp6178
(dp6179
g6
VRussellRaoDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p6180
sg8
(lp6181
(dp6182
g11
(lp6183
sg13
V\u005cfrac{5}{7}
p6184
sg15
I1
sass(g1696
g6057
VSokalSneathDissimilarity
p6185
I0
tp6186
(dp6187
g6
VSokalSneathDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p6188
sg8
(lp6189
(dp6190
g11
(lp6191
sg13
V\u005cfrac{4}{5}
p6192
sg15
I1
sass(g1696
g6057
VStirlingS1
p6193
I0
tp6194
(dp6195
g6
VStirlingS1[50, 1]
p6196
sg8
(lp6197
(dp6198
g11
(lp6199
sg13
V-608281864034267560872252163321295376887552831379210240000000000
p6200
sg15
I1
sass(g1696
g6057
VStirlingS2
p6201
I0
tp6202
(dp6203
g6
VTable[StirlingS2[10, m], {m, 10}]
p6204
sg8
(lp6205
(dp6206
g11
(lp6207
sg13
V\u005cleft\u005c{1,511,9330,34105,42525,22827,5880,750,45,1\u005cright\u005c}
p6208
sg15
I1
sass(g1696
g6057
VSubsets
p6209
I0
tp6210
(dp6211
g6
VSubsets[{a, b, c}]
p6212
sg8
(lp6213
(dp6214
g11
(lp6215
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}
p6216
sg15
I1
sass(g1696
g6057
g6209
I1
tp6217
(dp6218
g6
VSubsets[{a, b, c, d}, 2]
p6219
sg8
(lp6220
(dp6221
g11
(lp6222
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}
p6223
sg15
I2
sass(g1696
g6057
g6209
I2
tp6224
(dp6225
g6
VSubsets[{a, b, c, d}, {2}]
p6226
sg8
(lp6227
(dp6228
g11
(lp6229
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}
p6230
sg15
I3
sass(g1696
g6057
g6209
I3
tp6231
(dp6232
g6
VSubsets[{a, b, c, d, e}, {3}, 5]
p6233
sg8
(lp6234
(dp6235
g11
(lp6236
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}
p6237
sg15
I4
sass(g1696
g6057
g6209
I4
tp6238
(dp6239
g6
VSubsets[{a, b, c, d, e}, {0, 5, 2}]
p6240
sg8
(lp6241
(dp6242
g11
(lp6243
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}
p6244
sg15
I5
sass(g1696
g6057
g6209
I5
tp6245
(dp6246
g6
VSubsets[Range[5], All, {25}]
p6247
sg8
(lp6248
(dp6249
g11
(lp6250
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,4,5\u005cright\u005c}\u005cright\u005c}
p6251
sg15
I6
sass(g1696
g6057
g6209
I6
tp6252
(dp6253
g6
VSubsets[{a, b, c, d}, All, {15, 1, -2}]
p6254
sg8
(lp6255
(dp6256
g11
(lp6257
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}
p6258
sg15
I7
sass(g1696
g6057
VYuleDissimilarity
p6259
I0
tp6260
(dp6261
g6
VYuleDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p6262
sg8
(lp6263
(dp6264
g11
(lp6265
sg13
V\u005cfrac{6}{5}
p6266
sg15
I1
sass(g1696
VCompilation
p6267
VCompile
p6268
I0
tp6269
(dp6270
g6
Vcf = Compile[{x, y}, x + 2 y]
p6271
sg8
(lp6272
(dp6273
g11
(lp6274
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x,y\u005cright\u005c},x+2 y,-CompiledCode-\u005cright]
p6275
sg15
I1
sass(g1696
g6267
g6268
I1
tp6276
(dp6277
g6
Vcf[2.5, 4.3]
p6278
sg8
(lp6279
(dp6280
g11
(lp6281
sg13
V11.1
p6282
sg15
I2
sass(g1696
g6267
g6268
I2
tp6283
(dp6284
g6
Vcf = Compile[{{x, _Real}}, Sin[x]]
p6285
sg8
(lp6286
(dp6287
g11
(lp6288
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x\u005cright\u005c},\u005ctext{Sin}\u005cleft[x\u005cright],-CompiledCode-\u005cright]
p6289
sg15
I3
sass(g1696
g6267
g6268
I3
tp6290
(dp6291
g6
Vcf[1.4]
p6292
sg8
(lp6293
(dp6294
g11
(lp6295
sg13
V0.98545
p6296
sg15
I4
sass(g1696
g6267
g6268
I12
tp6297
(dp6298
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]
p6299
sg8
(lp6300
(dp6301
g11
(lp6302
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]
p6303
sg15
I5
sass(g1696
g6267
g6268
I13
tp6304
(dp6305
g6
Vcf[3.5, 2]
p6306
sg8
(lp6307
(dp6308
g11
(lp6309
sg13
V2.18888
p6310
sg15
I6
sass(g1696
g6267
g6268
I15
tp6311
(dp6312
g6
VCompile[{{a, _Integer}, {b, _Integer}}, While[b != 0, {a, b} = {b, Mod[a, b]}]; a]       (* GCD of a, b *)
p6313
sg8
(lp6314
(dp6315
g11
(lp6316
(dp6317
g149
I01
sg150
VCompile
p6318
sg152
Vcomperr
p6319
sg154
VCompile::comperr
p6320
sg156
VExpression While[b != 0, {a, b} = {b, Mod[a, b]}] ; a could not be compiled.
p6321
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]
p6322
sg15
I7
sass(g1696
g6267
VCompiledFunction
p6323
I0
tp6324
(dp6325
g6
Vsqr = Compile[{x}, x x]
p6326
sg8
(lp6327
(dp6328
g11
(lp6329
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x\u005cright\u005c},x^2,-CompiledCode-\u005cright]
p6330
sg15
I1
sass(g1696
g6267
g6323
I1
tp6331
(dp6332
g6
VHead[sqr]
p6333
sg8
(lp6334
(dp6335
g11
(lp6336
sg13
V\u005ctext{CompiledFunction}
p6337
sg15
I2
sass(g1696
g6267
g6323
I2
tp6338
(dp6339
g6
Vsqr[2]
p6340
sg8
(lp6341
(dp6342
g11
(lp6343
sg13
V4.
p6344
sg15
I3
sass(g1696
VComparison
p6345
VBooleanQ
p6346
I0
tp6347
(dp6348
g6
VBooleanQ[True]
p6349
sg8
(lp6350
(dp6351
g11
(lp6352
sg13
V\u005ctext{True}
p6353
sg15
I1
sass(g1696
g6345
g6346
I1
tp6354
(dp6355
g6
VBooleanQ[False]
p6356
sg8
(lp6357
(dp6358
g11
(lp6359
sg13
V\u005ctext{True}
p6360
sg15
I2
sass(g1696
g6345
g6346
I2
tp6361
(dp6362
g6
VBooleanQ[a]
p6363
sg8
(lp6364
(dp6365
g11
(lp6366
sg13
V\u005ctext{False}
p6367
sg15
I3
sass(g1696
g6345
g6346
I3
tp6368
(dp6369
g6
VBooleanQ[1 < 2]
p6370
sg8
(lp6371
(dp6372
g11
(lp6373
sg13
V\u005ctext{True}
p6374
sg15
I4
sass(g1696
g6345
VEqual
p6375
I0
tp6376
(dp6377
g6
Va==a
p6378
sg8
(lp6379
(dp6380
g11
(lp6381
sg13
V\u005ctext{True}
p6382
sg15
I1
sass(g1696
g6345
g6375
I1
tp6383
(dp6384
g6
Va==b
p6385
sg8
(lp6386
(dp6387
g11
(lp6388
sg13
Va\u005ctext{==}b
p6389
sg15
I2
sass(g1696
g6345
g6375
I2
tp6390
(dp6391
g6
V1==1.
p6392
sg8
(lp6393
(dp6394
g11
(lp6395
sg13
V\u005ctext{True}
p6396
sg15
I3
sass(g1696
g6345
g6375
I3
tp6397
(dp6398
g6
V{{1}, {2}} == {{1}, {2}}
p6399
sg8
(lp6400
(dp6401
g11
(lp6402
sg13
V\u005ctext{True}
p6403
sg15
I4
sass(g1696
g6345
g6375
I4
tp6404
(dp6405
g6
V{1, 2} == {1, 2, 3}
p6406
sg8
(lp6407
(dp6408
g11
(lp6409
sg13
V\u005ctext{False}
p6410
sg15
I5
sass(g1696
g6345
g6375
I5
tp6411
(dp6412
g6
V0.739085133215160642 == 0.739085133215160641
p6413
sg8
(lp6414
(dp6415
g11
(lp6416
sg13
V\u005ctext{True}
p6417
sg15
I6
sass(g1696
g6345
g6375
I6
tp6418
(dp6419
g6
V0.73908513321516064200000000 == 0.73908513321516064100000000
p6420
sg8
(lp6421
(dp6422
g11
(lp6423
sg13
V\u005ctext{False}
p6424
sg15
I7
sass(g1696
g6345
g6375
I9
tp6425
(dp6426
g6
VN[E, 100] == N[E, 150]
p6427
sg8
(lp6428
(dp6429
g11
(lp6430
sg13
V\u005ctext{True}
p6431
sg15
I8
sass(g1696
g6345
g6375
I10
tp6432
(dp6433
g6
VE > 1
p6434
sg8
(lp6435
(dp6436
g11
(lp6437
sg13
V\u005ctext{True}
p6438
sg15
I9
sass(g1696
g6345
g6375
I11
tp6439
(dp6440
g6
VPi == 3.14
p6441
sg8
(lp6442
(dp6443
g11
(lp6444
sg13
V\u005ctext{False}
p6445
sg15
I10
sass(g1696
g6345
VGreater
p6446
I0
tp6447
(dp6448
g6
Va > b > c //FullForm
p6449
sg8
(lp6450
(dp6451
g11
(lp6452
sg13
V\u005ctext{Greater}\u005cleft[a, b, c\u005cright]
p6453
sg15
I1
sass(g1696
g6345
g6446
I1
tp6454
(dp6455
g6
VGreater[3, 2, 1]
p6456
sg8
(lp6457
(dp6458
g11
(lp6459
sg13
V\u005ctext{True}
p6460
sg15
I2
sass(g1696
g6345
VInequality
p6461
I0
tp6462
(dp6463
g6
Va < b <= c
p6464
sg8
(lp6465
(dp6466
g11
(lp6467
sg13
Va<b\u005ctext{\u005c&\u005c&}b\u005ctext{<=}c
p6468
sg15
I1
sass(g1696
g6345
g6461
I1
tp6469
(dp6470
g6
VInequality[a, Greater, b, LessEqual, c]
p6471
sg8
(lp6472
(dp6473
g11
(lp6474
sg13
Va>b\u005ctext{\u005c&\u005c&}b\u005ctext{<=}c
p6475
sg15
I2
sass(g1696
g6345
g6461
I2
tp6476
(dp6477
g6
V1 < 2 <= 3
p6478
sg8
(lp6479
(dp6480
g11
(lp6481
sg13
V\u005ctext{True}
p6482
sg15
I3
sass(g1696
g6345
g6461
I3
tp6483
(dp6484
g6
V1 < 2 > 0
p6485
sg8
(lp6486
(dp6487
g11
(lp6488
sg13
V\u005ctext{True}
p6489
sg15
I4
sass(g1696
g6345
g6461
I4
tp6490
(dp6491
g6
V1 < 2 < -1
p6492
sg8
(lp6493
(dp6494
g11
(lp6495
sg13
V\u005ctext{False}
p6496
sg15
I5
sass(g1696
g6345
VMax
p6497
I0
tp6498
(dp6499
g6
VMax[4, -8, 1]
p6500
sg8
(lp6501
(dp6502
g11
(lp6503
sg13
V4
p6504
sg15
I1
sass(g1696
g6345
g6497
I1
tp6505
(dp6506
g6
VMax[E - Pi, Pi, E + Pi, 2 E]
p6507
sg8
(lp6508
(dp6509
g11
(lp6510
sg13
VE+\u005ctext{Pi}
p6511
sg15
I2
sass(g1696
g6345
g6497
I2
tp6512
(dp6513
g6
VMax[{1,2},3,{-3,3.5,-Infinity},{{1/2}}]
p6514
sg8
(lp6515
(dp6516
g11
(lp6517
sg13
V3.5
p6518
sg15
I3
sass(g1696
g6345
g6497
I3
tp6519
(dp6520
g6
VMax[x, y]
p6521
sg8
(lp6522
(dp6523
g11
(lp6524
sg13
V\u005ctext{Max}\u005cleft[x,y\u005cright]
p6525
sg15
I4
sass(g1696
g6345
g6497
I4
tp6526
(dp6527
g6
VMax[5, x, -3, y, 40]
p6528
sg8
(lp6529
(dp6530
g11
(lp6531
sg13
V\u005ctext{Max}\u005cleft[40,x,y\u005cright]
p6532
sg15
I5
sass(g1696
g6345
g6497
I5
tp6533
(dp6534
g6
VMax[]
p6535
sg8
(lp6536
(dp6537
g11
(lp6538
sg13
V-\u005cinfty 
p6539
sg15
I6
sass(g1696
g6345
VMin
p6540
I0
tp6541
(dp6542
g6
VMin[4, -8, 1]
p6543
sg8
(lp6544
(dp6545
g11
(lp6546
sg13
V-8
p6547
sg15
I1
sass(g1696
g6345
g6540
I1
tp6548
(dp6549
g6
VMin[E - Pi, Pi, E + Pi, 2 E]
p6550
sg8
(lp6551
(dp6552
g11
(lp6553
sg13
VE-\u005ctext{Pi}
p6554
sg15
I2
sass(g1696
g6345
g6540
I2
tp6555
(dp6556
g6
VMin[{1,2},3,{-3,3.5,-Infinity},{{1/2}}]
p6557
sg8
(lp6558
(dp6559
g11
(lp6560
sg13
V-\u005cinfty 
p6561
sg15
I3
sass(g1696
g6345
g6540
I3
tp6562
(dp6563
g6
VMin[x, y]
p6564
sg8
(lp6565
(dp6566
g11
(lp6567
sg13
V\u005ctext{Min}\u005cleft[x,y\u005cright]
p6568
sg15
I4
sass(g1696
g6345
g6540
I4
tp6569
(dp6570
g6
VMin[5, x, -3, y, 40]
p6571
sg8
(lp6572
(dp6573
g11
(lp6574
sg13
V\u005ctext{Min}\u005cleft[-3,x,y\u005cright]
p6575
sg15
I5
sass(g1696
g6345
g6540
I5
tp6576
(dp6577
g6
VMin[]
p6578
sg8
(lp6579
(dp6580
g11
(lp6581
sg13
g165
sg15
I6
sass(g1696
g6345
VNegative
p6582
I0
tp6583
(dp6584
g6
VNegative[0]
p6585
sg8
(lp6586
(dp6587
g11
(lp6588
sg13
V\u005ctext{False}
p6589
sg15
I1
sass(g1696
g6345
g6582
I1
tp6590
(dp6591
g6
VNegative[-3]
p6592
sg8
(lp6593
(dp6594
g11
(lp6595
sg13
V\u005ctext{True}
p6596
sg15
I2
sass(g1696
g6345
g6582
I2
tp6597
(dp6598
g6
VNegative[10/7]
p6599
sg8
(lp6600
(dp6601
g11
(lp6602
sg13
V\u005ctext{False}
p6603
sg15
I3
sass(g1696
g6345
g6582
I3
tp6604
(dp6605
g6
VNegative[1+2I]
p6606
sg8
(lp6607
(dp6608
g11
(lp6609
sg13
V\u005ctext{False}
p6610
sg15
I4
sass(g1696
g6345
g6582
I4
tp6611
(dp6612
g6
VNegative[a + b]
p6613
sg8
(lp6614
(dp6615
g11
(lp6616
sg13
V\u005ctext{Negative}\u005cleft[a+b\u005cright]
p6617
sg15
I5
sass(g1696
g6345
VNonNegative
p6618
I0
tp6619
(dp6620
g6
V{Positive[0], NonNegative[0]}
p6621
sg8
(lp6622
(dp6623
g11
(lp6624
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p6625
sg15
I1
sass(g1696
g6345
VNonPositive
p6626
I0
tp6627
(dp6628
g6
V{Negative[0], NonPositive[0]}
p6629
sg8
(lp6630
(dp6631
g11
(lp6632
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p6633
sg15
I1
sass(g1696
g6345
VPositive
p6634
I0
tp6635
(dp6636
g6
VPositive[1]
p6637
sg8
(lp6638
(dp6639
g11
(lp6640
sg13
V\u005ctext{True}
p6641
sg15
I1
sass(g1696
g6345
g6634
I1
tp6642
(dp6643
g6
VPositive[0]
p6644
sg8
(lp6645
(dp6646
g11
(lp6647
sg13
V\u005ctext{False}
p6648
sg15
I2
sass(g1696
g6345
g6634
I2
tp6649
(dp6650
g6
VPositive[1 + 2 I]
p6651
sg8
(lp6652
(dp6653
g11
(lp6654
sg13
V\u005ctext{False}
p6655
sg15
I3
sass(g1696
g6345
VSameQ
p6656
I0
tp6657
(dp6658
g6
Va===a
p6659
sg8
(lp6660
(dp6661
g11
(lp6662
sg13
V\u005ctext{True}
p6663
sg15
I1
sass(g1696
g6345
g6656
I1
tp6664
(dp6665
g6
V{1==1., 1===1.}
p6666
sg8
(lp6667
(dp6668
g11
(lp6669
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False}\u005cright\u005c}
p6670
sg15
I2
sass(g1696
g6345
VTrueQ
p6671
I0
tp6672
(dp6673
g6
VTrueQ[True]
p6674
sg8
(lp6675
(dp6676
g11
(lp6677
sg13
V\u005ctext{True}
p6678
sg15
I1
sass(g1696
g6345
g6671
I1
tp6679
(dp6680
g6
VTrueQ[False]
p6681
sg8
(lp6682
(dp6683
g11
(lp6684
sg13
V\u005ctext{False}
p6685
sg15
I2
sass(g1696
g6345
g6671
I2
tp6686
(dp6687
g6
VTrueQ[a]
p6688
sg8
(lp6689
(dp6690
g11
(lp6691
sg13
V\u005ctext{False}
p6692
sg15
I3
sass(g1696
g6345
VUnequal
p6693
I0
tp6694
(dp6695
g6
V1 != 1.
p6696
sg8
(lp6697
(dp6698
g11
(lp6699
sg13
V\u005ctext{False}
p6700
sg15
I1
sass(g1696
g6345
g6693
I1
tp6701
(dp6702
g6
V{1} != {2}
p6703
sg8
(lp6704
(dp6705
g11
(lp6706
sg13
V\u005ctext{True}
p6707
sg15
I2
sass(g1696
g6345
g6693
I2
tp6708
(dp6709
g6
V{1, 2} != {1, 2}
p6710
sg8
(lp6711
(dp6712
g11
(lp6713
sg13
V\u005ctext{False}
p6714
sg15
I3
sass(g1696
g6345
g6693
I3
tp6715
(dp6716
g6
V{a} != {a}
p6717
sg8
(lp6718
(dp6719
g11
(lp6720
sg13
V\u005ctext{False}
p6721
sg15
I4
sass(g1696
g6345
g6693
I4
tp6722
(dp6723
g6
V"a" != "b"
p6724
sg8
(lp6725
(dp6726
g11
(lp6727
sg13
V\u005ctext{True}
p6728
sg15
I5
sass(g1696
g6345
g6693
I5
tp6729
(dp6730
g6
V"a" != "a"
p6731
sg8
(lp6732
(dp6733
g11
(lp6734
sg13
V\u005ctext{False}
p6735
sg15
I6
sass(g1696
g6345
VUnsameQ
p6736
I0
tp6737
(dp6738
g6
Va=!=a
p6739
sg8
(lp6740
(dp6741
g11
(lp6742
sg13
V\u005ctext{False}
p6743
sg15
I1
sass(g1696
g6345
g6736
I1
tp6744
(dp6745
g6
V1=!=1.
p6746
sg8
(lp6747
(dp6748
g11
(lp6749
sg13
V\u005ctext{True}
p6750
sg15
I2
sass(g1696
g6345
VValueQ
p6751
I0
tp6752
(dp6753
g6
VValueQ[x]
p6754
sg8
(lp6755
(dp6756
g11
(lp6757
sg13
V\u005ctext{False}
p6758
sg15
I1
sass(g1696
g6345
g6751
I1
tp6759
(dp6760
g6
Vx = 1;
p6761
sg8
(lp6762
(dp6763
g11
(lp6764
sg13
Nsg15
I2
sass(g1696
g6345
g6751
I2
tp6765
(dp6766
g6
VValueQ[x]
p6767
sg8
(lp6768
(dp6769
g11
(lp6770
sg13
V\u005ctext{True}
p6771
sg15
I3
sass(g1696
VControl Statements
p6772
VAbort
p6773
I0
tp6774
(dp6775
g6
VPrint["a"]; Abort[]; Print["b"]
p6776
sg8
(lp6777
(dp6778
g11
(lp6779
(dp6780
g149
I00
sg156
g542
sasg13
V\u005ctext{\u005c$Aborted}
p6781
sg15
I1
sass(g1696
g6772
VBreak
p6782
I0
tp6783
(dp6784
g6
Vn = 0;
p6785
sg8
(lp6786
(dp6787
g11
(lp6788
sg13
Nsg15
I1
sass(g1696
g6772
g6782
I1
tp6789
(dp6790
g6
VWhile[True, If[n>10, Break[]]; n=n+1]
p6791
sg8
(lp6792
(dp6793
g11
(lp6794
sg13
Nsg15
I2
sass(g1696
g6772
g6782
I2
tp6795
(dp6796
g6
Vn
p6797
sg8
(lp6798
(dp6799
g11
(lp6800
sg13
V11
p6801
sg15
I3
sass(g1696
g6772
VCompoundExpression
p6802
I0
tp6803
(dp6804
g6
Va; b; c; d
p6805
sg8
(lp6806
(dp6807
g11
(lp6808
sg13
g519
sg15
I1
sass(g1696
g6772
g6802
I1
tp6809
(dp6810
g6
Va;
p6811
sg8
(lp6812
(dp6813
g11
(lp6814
sg13
Nsg15
I2
sass(g1696
g6772
VContinue
p6815
I0
tp6816
(dp6817
g6
VFor[i=1, i<=8, i=i+1, If[Mod[i,2] == 0, Continue[]]; Print[i]]
p6818
sg8
(lp6819
(dp6820
g11
(lp6821
(dp6822
g149
I00
sg156
V1
p6823
sa(dp6824
g149
I00
sg156
V3
p6825
sa(dp6826
g149
I00
sg156
V5
p6827
sa(dp6828
g149
I00
sg156
V7
p6829
sasg13
Nsg15
I1
sass(g1696
g6772
VDo
p6830
I0
tp6831
(dp6832
g6
VDo[Print[i], {i, 2, 4}]
p6833
sg8
(lp6834
(dp6835
g11
(lp6836
(dp6837
g149
I00
sg156
V2
p6838
sa(dp6839
g149
I00
sg156
V3
p6840
sa(dp6841
g149
I00
sg156
V4
p6842
sasg13
Nsg15
I1
sass(g1696
g6772
g6830
I1
tp6843
(dp6844
g6
VDo[Print[{i, j}], {i,1,2}, {j,3,5}]
p6845
sg8
(lp6846
(dp6847
g11
(lp6848
(dp6849
g149
I00
sg156
V{1, 3}
p6850
sa(dp6851
g149
I00
sg156
V{1, 4}
p6852
sa(dp6853
g149
I00
sg156
V{1, 5}
p6854
sa(dp6855
g149
I00
sg156
V{2, 3}
p6856
sa(dp6857
g149
I00
sg156
V{2, 4}
p6858
sa(dp6859
g149
I00
sg156
V{2, 5}
p6860
sasg13
Nsg15
I2
sass(g1696
g6772
g6830
I2
tp6861
(dp6862
g6
VDo[If[i > 10, Break[], If[Mod[i, 2] == 0, Continue[]]; Print[i]], {i, 5, 20}]
p6863
sg8
(lp6864
(dp6865
g11
(lp6866
(dp6867
g149
I00
sg156
V5
p6868
sa(dp6869
g149
I00
sg156
V7
p6870
sa(dp6871
g149
I00
sg156
V9
p6872
sasg13
Nsg15
I3
sass(g1696
g6772
VFixedPoint
p6873
I0
tp6874
(dp6875
g6
VFixedPoint[Cos, 1.0]
p6876
sg8
(lp6877
(dp6878
g11
(lp6879
sg13
V0.739085
p6880
sg15
I1
sass(g1696
g6772
g6873
I1
tp6881
(dp6882
g6
VFixedPoint[#+1 &, 1, 20]
p6883
sg8
(lp6884
(dp6885
g11
(lp6886
sg13
V21
p6887
sg15
I2
sass(g1696
g6772
VFixedPointList
p6888
I0
tp6889
(dp6890
g6
VFixedPointList[Cos, 1.0, 4]
p6891
sg8
(lp6892
(dp6893
g11
(lp6894
sg13
V\u005cleft\u005c{1.,0.540302,0.857553,0.65429,0.79348\u005cright\u005c}
p6895
sg15
I1
sass(g1696
g6772
g6888
I1
tp6896
(dp6897
g6
Vnewton[n_] := FixedPointList[.5(# + n/#) &, 1.];
p6898
sg8
(lp6899
(dp6900
g11
(lp6901
sg13
Nsg15
I2
sass(g1696
g6772
g6888
I2
tp6902
(dp6903
g6
Vnewton[9]
p6904
sg8
(lp6905
(dp6906
g11
(lp6907
sg13
V\u005cleft\u005c{1.,5.,3.4,3.02353,3.00009,3.,3.,3.\u005cright\u005c}
p6908
sg15
I3
sass(g1696
g6772
g6888
I3
tp6909
(dp6910
g6
Vcollatz[1] := 1;
p6911
sg8
(lp6912
(dp6913
g11
(lp6914
sg13
Nsg15
I4
sass(g1696
g6772
g6888
I4
tp6915
(dp6916
g6
Vcollatz[x_ ? EvenQ] := x / 2;
p6917
sg8
(lp6918
(dp6919
g11
(lp6920
sg13
Nsg15
I5
sass(g1696
g6772
g6888
I5
tp6921
(dp6922
g6
Vcollatz[x_] := 3 x + 1;
p6923
sg8
(lp6924
(dp6925
g11
(lp6926
sg13
Nsg15
I6
sass(g1696
g6772
g6888
I6
tp6927
(dp6928
g6
Vlist = FixedPointList[collatz, 14]
p6929
sg8
(lp6930
(dp6931
g11
(lp6932
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}
p6933
sg15
I7
sass(g1696
g6772
g6888
I7
tp6934
(dp6935
g6
VListLinePlot[list]
p6936
sg8
(lp6937
(dp6938
g11
(lp6939
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
p6940
sg15
I8
sass(g1696
g6772
VFor
p6941
I0
tp6942
(dp6943
g6
Vn := 1
p6944
sg8
(lp6945
(dp6946
g11
(lp6947
sg13
Nsg15
I1
sass(g1696
g6772
g6941
I1
tp6948
(dp6949
g6
VFor[i=1, i<=10, i=i+1, n = n * i]
p6950
sg8
(lp6951
(dp6952
g11
(lp6953
sg13
Nsg15
I2
sass(g1696
g6772
g6941
I2
tp6954
(dp6955
g6
g6797
sg8
(lp6956
(dp6957
g11
(lp6958
sg13
V3628800
p6959
sg15
I3
sass(g1696
g6772
g6941
I3
tp6960
(dp6961
g6
Vn == 10!
p6962
sg8
(lp6963
(dp6964
g11
(lp6965
sg13
V\u005ctext{True}
p6966
sg15
I4
sass(g1696
g6772
VIf
p6967
I0
tp6968
(dp6969
g6
VIf[1<2, a, b]
p6970
sg8
(lp6971
(dp6972
g11
(lp6973
sg13
g542
sg15
I1
sass(g1696
g6772
g6967
I1
tp6974
(dp6975
g6
VIf[1<2, a]
p6976
sg8
(lp6977
(dp6978
g11
(lp6979
sg13
g542
sg15
I2
sass(g1696
g6772
g6967
I2
tp6980
(dp6981
g6
VIf[False, a] //FullForm
p6982
sg8
(lp6983
(dp6984
g11
(lp6985
sg13
V\u005ctext{Null}
p6986
sg15
I3
sass(g1696
g6772
g6967
I3
tp6987
(dp6988
g6
VIf[a, (*then*) b, (*else*) c];
p6989
sg8
(lp6990
(dp6991
g11
(lp6992
sg13
Nsg15
I4
sass(g1696
g6772
VInterrupt
p6993
I0
tp6994
(dp6995
g6
VPrint["a"]; Interrupt[]; Print["b"]
p6996
sg8
(lp6997
(dp6998
g11
(lp6999
(dp7000
g149
I00
sg156
g542
sasg13
V\u005ctext{\u005c$Aborted}
p7001
sg15
I1
sass(g1696
g6772
VNest
p7002
I0
tp7003
(dp7004
g6
VNest[f, x, 3]
p7005
sg8
(lp7006
(dp7007
g11
(lp7008
sg13
Vf\u005cleft[f\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005cright]
p7009
sg15
I1
sass(g1696
g6772
g7002
I1
tp7010
(dp7011
g6
VNest[(1+#) ^ 2 &, x, 2]
p7012
sg8
(lp7013
(dp7014
g11
(lp7015
sg13
V{\u005cleft(1+\u005cleft(1+x\u005cright)^2\u005cright)}^2
p7016
sg15
I2
sass(g1696
g6772
VNestList
p7017
I0
tp7018
(dp7019
g6
VNestList[f, x, 3]
p7020
sg8
(lp7021
(dp7022
g11
(lp7023
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}
p7024
sg15
I1
sass(g1696
g6772
g7017
I1
tp7025
(dp7026
g6
VNestList[2 # &, 1, 8]
p7027
sg8
(lp7028
(dp7029
g11
(lp7030
sg13
V\u005cleft\u005c{1,2,4,8,16,32,64,128,256\u005cright\u005c}
p7031
sg15
I2
sass(g1696
g6772
g7017
I2
tp7032
(dp7033
g6
Vvertices = {{0,0}, {1,0}, {.5, .5 Sqrt[3]}};
p7034
sg8
(lp7035
(dp7036
g11
(lp7037
sg13
Nsg15
I3
sass(g1696
g6772
g7017
I3
tp7038
(dp7039
g6
Vpoints = NestList[.5(vertices[[ RandomInteger[{1,3}] ]] + #) &, {0.,0.}, 2000];
p7040
sg8
(lp7041
(dp7042
g11
(lp7043
sg13
Nsg15
I4
sass(g1696
g6772
g7017
I4
tp7044
(dp7045
g6
VGraphics[Point[points], ImageSize->Small]
p7046
sg8
(lp7047
(dp7048
g11
(lp7049
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 2.9167cm);\u000adot((0.0, 0.0), rgb(0, 0, 0));dot((101.09956979787715, 0.0), rgb(0, 0, 0));dot((101.09956979787715, 87.55479575663975), rgb(0, 0, 0));dot((101.09956979787715, 131.3321936349596), rgb(0, 0, 0));dot((50.549784898938576, 65.6660968174798), rgb(0, 0, 0));dot((25.274892449469288, 32.8330484087399), rgb(0, 0, 0));dot((63.18723112367322, 103.9713199610097), rgb(0, 0, 0));dot((31.59361556183661, 51.98565998050485), rgb(0, 0, 0));dot((15.796807780918305, 25.992829990252424), rgb(0, 0, 0));dot((108.9979736883363, 12.996414995126212), rgb(0, 0, 0));dot((105.04877174310673, 94.05300325420285), rgb(0, 0, 0));dot((52.52438587155336, 47.026501627101425), rgb(0, 0, 0));dot((26.26219293577668, 23.513250813550712), rgb(0, 0, 0));dot((114.23066626576549, 11.756625406775356), rgb(0, 0, 0));dot((57.115333132882746, 5.878312703387678), rgb(0, 0, 0));dot((129.65723636431852, 2.939156351693839), rgb(0, 0, 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0));dot((136.4782771932872, 113.59406435266601), rgb(0, 0, 0));dot((118.78892349558218, 144.35182793297275), rgb(0, 0, 0));dot((109.94424664672967, 159.73070972312613), rgb(0, 0, 0));dot((156.07169312124196, 79.86535486156306), rgb(0, 0, 0));dot((78.03584656062098, 39.93267743078153), rgb(0, 0, 0));dot((89.56770817924907, 107.52113447203051), rgb(0, 0, 0));dot((95.33363898856311, 141.315362992655), rgb(0, 0, 0));dot((98.21660439322014, 158.2124772529672), rgb(0, 0, 0));dot((49.10830219661007, 79.1062386264836), rgb(0, 0, 0));dot((24.554151098305034, 39.5531193132418), rgb(0, 0, 0));dot((113.37664534702968, 19.7765596566209), rgb(0, 0, 0));dot((56.68832267351484, 9.88827982831045), rgb(0, 0, 0));dot((129.4437311346346, 4.944139914155225), rgb(0, 0, 0));dot((64.7218655673173, 2.4720699570776126), rgb(0, 0, 0));dot((82.91071768259722, 88.79083073517855), rgb(0, 0, 0));dot((41.45535884129861, 44.39541536758927), rgb(0, 0, 0));dot((20.727679420649306, 22.197707683794636), rgb(0, 0, 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0, 0));dot((83.60129040491046, 142.47969676637322), rgb(0, 0, 0));dot((92.3504301013938, 158.79464413982635), rgb(0, 0, 0));dot((46.1752150506969, 79.39732206991317), rgb(0, 0, 0));dot((23.08760752534845, 39.69866103495659), rgb(0, 0, 0));dot((112.64337356055137, 19.849330517478293), rgb(0, 0, 0));dot((56.321686780275684, 9.924665258739147), rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (200.67,175.5)));\u000a\u005cend{asy}\u000a
p7050
sg15
I5
sass(g1696
g6772
VNestWhile
p7051
I0
tp7052
(dp7053
g6
VNestWhile[#/2&, 10000, IntegerQ]
p7054
sg8
(lp7055
(dp7056
g11
(lp7057
sg13
V\u005cfrac{625}{2}
p7058
sg15
I1
sass(g1696
g6772
VReturn
p7059
I0
tp7060
(dp7061
g6
Vf[x_] := (If[x < 0, Return[0]]; x)
p7062
sg8
(lp7063
(dp7064
g11
(lp7065
sg13
Nsg15
I1
sass(g1696
g6772
g7059
I1
tp7066
(dp7067
g6
Vf[-1]
p7068
sg8
(lp7069
(dp7070
g11
(lp7071
sg13
V0
p7072
sg15
I2
sass(g1696
g6772
g7059
I2
tp7073
(dp7074
g6
VDo[If[i > 3, Return[]]; Print[i], {i, 10}]
p7075
sg8
(lp7076
(dp7077
g11
(lp7078
(dp7079
g149
I00
sg156
V1
p7080
sa(dp7081
g149
I00
sg156
V2
p7082
sa(dp7083
g149
I00
sg156
V3
p7084
sasg13
Nsg15
I3
sass(g1696
g6772
g7059
I3
tp7085
(dp7086
g6
Vg[x_] := (Do[If[x < 0, Return[0]], {i, {2, 1, 0, -1}}]; x)
p7087
sg8
(lp7088
(dp7089
g11
(lp7090
sg13
Nsg15
I4
sass(g1696
g6772
g7059
I4
tp7091
(dp7092
g6
Vg[-1]
p7093
sg8
(lp7094
(dp7095
g11
(lp7096
sg13
V-1
p7097
sg15
I5
sass(g1696
g6772
VSwitch
p7098
I0
tp7099
(dp7100
g6
VSwitch[2, 1, x, 2, y, 3, z]
p7101
sg8
(lp7102
(dp7103
g11
(lp7104
sg13
g3550
sg15
I1
sass(g1696
g6772
g7098
I1
tp7105
(dp7106
g6
VSwitch[5, 1, x, 2, y]
p7107
sg8
(lp7108
(dp7109
g11
(lp7110
sg13
V\u005ctext{Switch}\u005cleft[5,1,x,2,y\u005cright]
p7111
sg15
I2
sass(g1696
g6772
g7098
I2
tp7112
(dp7113
g6
VSwitch[5, 1, x, 2, y, _, z]
p7114
sg8
(lp7115
(dp7116
g11
(lp7117
sg13
Vz
p7118
sg15
I3
sass(g1696
g6772
g7098
I3
tp7119
(dp7120
g6
VSwitch[2, 1]
p7121
sg8
(lp7122
(dp7123
g11
(lp7124
(dp7125
g149
I01
sg150
VSwitch
p7126
sg152
Vargct
p7127
sg154
VSwitch::argct
p7128
sg156
VSwitch called with 2 arguments. Switch must be called with an odd number of arguments.
p7129
sasg13
V\u005ctext{Switch}\u005cleft[2,1\u005cright]
p7130
sg15
I4
sass(g1696
g6772
VWhich
p7131
I0
tp7132
(dp7133
g6
Vn = 5;
p7134
sg8
(lp7135
(dp7136
g11
(lp7137
sg13
Nsg15
I1
sass(g1696
g6772
g7131
I1
tp7138
(dp7139
g6
VWhich[n == 3, x, n == 5, y]
p7140
sg8
(lp7141
(dp7142
g11
(lp7143
sg13
g3550
sg15
I2
sass(g1696
g6772
g7131
I2
tp7144
(dp7145
g6
Vf[x_] := Which[x < 0, -x, x == 0, 0, x > 0, x]
p7146
sg8
(lp7147
(dp7148
g11
(lp7149
sg13
Nsg15
I3
sass(g1696
g6772
g7131
I3
tp7150
(dp7151
g6
Vf[-3]
p7152
sg8
(lp7153
(dp7154
g11
(lp7155
sg13
V3
p7156
sg15
I4
sass(g1696
g6772
g7131
I4
tp7157
(dp7158
g6
VWhich[False, a]
p7159
sg8
(lp7160
(dp7161
g11
(lp7162
sg13
Nsg15
I5
sass(g1696
g6772
g7131
I5
tp7163
(dp7164
g6
VWhich[False, a, x, b, True, c]
p7165
sg8
(lp7166
(dp7167
g11
(lp7168
sg13
V\u005ctext{Which}\u005cleft[x,b,\u005ctext{True},c\u005cright]
p7169
sg15
I6
sass(g1696
g6772
g7131
I6
tp7170
(dp7171
g6
VWhich[a, b, c]
p7172
sg8
(lp7173
(dp7174
g11
(lp7175
(dp7176
g149
I01
sg150
VWhich
p7177
sg152
g7127
sg154
VWhich::argct
p7178
sg156
VWhich called with 3 arguments.
p7179
sasg13
V\u005ctext{Which}\u005cleft[a,b,c\u005cright]
p7180
sg15
I7
sass(g1696
g6772
VWhile
p7181
I0
tp7182
(dp7183
g6
V{a, b} = {27, 6};
p7184
sg8
(lp7185
(dp7186
g11
(lp7187
sg13
Nsg15
I1
sass(g1696
g6772
g7181
I1
tp7188
(dp7189
g6
VWhile[b != 0, {a, b} = {b, Mod[a, b]}];
p7190
sg8
(lp7191
(dp7192
g11
(lp7193
sg13
Nsg15
I2
sass(g1696
g6772
g7181
I2
tp7194
(dp7195
g6
g542
sg8
(lp7196
(dp7197
g11
(lp7198
sg13
V3
p7199
sg15
I3
sass(g1696
VDate and Time
p7200
VAbsoluteTime
p7201
I0
tp7202
(dp7203
g6
VAbsoluteTime[]
p7204
sg8
(lp7205
(dp7206
g11
(lp7207
sg13
V3.81775\u005ctimes 10^9
p7208
sg15
I1
sass(g1696
g7200
g7201
I1
tp7209
(dp7210
g6
VAbsoluteTime[{2000}]
p7211
sg8
(lp7212
(dp7213
g11
(lp7214
sg13
V3155673600
p7215
sg15
I2
sass(g1696
g7200
g7201
I2
tp7216
(dp7217
g6
VAbsoluteTime[{"01/02/03", {"Day", "Month", "YearShort"}}]
p7218
sg8
(lp7219
(dp7220
g11
(lp7221
sg13
V3253046400
p7222
sg15
I3
sass(g1696
g7200
g7201
I3
tp7223
(dp7224
g6
VAbsoluteTime["6 June 1991"]
p7225
sg8
(lp7226
(dp7227
g11
(lp7228
sg13
V2885155200
p7229
sg15
I4
sass(g1696
g7200
g7201
I4
tp7230
(dp7231
g6
VAbsoluteTime[{"6-6-91", {"Day", "Month", "YearShort"}}]
p7232
sg8
(lp7233
(dp7234
g11
(lp7235
sg13
V2885155200
p7236
sg15
I5
sass(g1696
g7200
VAbsoluteTiming
p7237
I0
tp7238
(dp7239
g6
VAbsoluteTiming[50!]
p7240
sg8
(lp7241
(dp7242
g11
(lp7243
sg13
V\u005cleft\u005c{0.000204325,30414093201713378043612608166064768844377641568960512000000000000\u005cright\u005c}
p7244
sg15
I1
sass(g1696
g7200
g7237
I1
tp7245
(dp7246
g6
VAttributes[AbsoluteTiming]
p7247
sg8
(lp7248
(dp7249
g11
(lp7250
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p7251
sg15
I2
sass(g1696
g7200
VDateDifference
p7252
I0
tp7253
(dp7254
g6
VDateDifference[{2042, 1, 4}, {2057, 1, 1}]
p7255
sg8
(lp7256
(dp7257
g11
(lp7258
sg13
V5476
p7259
sg15
I1
sass(g1696
g7200
g7252
I1
tp7260
(dp7261
g6
VDateDifference[{1936, 8, 14}, {2000, 12, 1}, "Year"]
p7262
sg8
(lp7263
(dp7264
g11
(lp7265
sg13
V\u005cleft\u005c{64.3425,\u005ctext{Year}\u005cright\u005c}
p7266
sg15
I2
sass(g1696
g7200
g7252
I2
tp7267
(dp7268
g6
VDateDifference[{2010, 6, 1}, {2015, 1, 1}, "Hour"]
p7269
sg8
(lp7270
(dp7271
g11
(lp7272
sg13
V\u005cleft\u005c{40200,\u005ctext{Hour}\u005cright\u005c}
p7273
sg15
I3
sass(g1696
g7200
g7252
I3
tp7274
(dp7275
g6
VDateDifference[{2003, 8, 11}, {2003, 10, 19}, {"Week", "Day"}]
p7276
sg8
(lp7277
(dp7278
g11
(lp7279
sg13
V\u005cleft\u005c{\u005cleft\u005c{9,\u005ctext{Week}\u005cright\u005c},\u005cleft\u005c{6,\u005ctext{Day}\u005cright\u005c}\u005cright\u005c}
p7280
sg15
I4
sass(g1696
g7200
VDateList
p7281
I0
tp7282
(dp7283
g6
VDateList[0]
p7284
sg8
(lp7285
(dp7286
g11
(lp7287
sg13
V\u005cleft\u005c{1900,1,1,0,0,0.\u005cright\u005c}
p7288
sg15
I1
sass(g1696
g7200
g7281
I1
tp7289
(dp7290
g6
VDateList[3155673600]
p7291
sg8
(lp7292
(dp7293
g11
(lp7294
sg13
V\u005cleft\u005c{2000,1,1,0,0,0.\u005cright\u005c}
p7295
sg15
I2
sass(g1696
g7200
g7281
I2
tp7296
(dp7297
g6
VDateList[{2003, 5, 0.5, 0.1, 0.767}]
p7298
sg8
(lp7299
(dp7300
g11
(lp7301
sg13
V\u005cleft\u005c{2003,4,30,12,6,46.02\u005cright\u005c}
p7302
sg15
I3
sass(g1696
g7200
g7281
I3
tp7303
(dp7304
g6
VDateList[{2012, 1, 300., 10}]
p7305
sg8
(lp7306
(dp7307
g11
(lp7308
sg13
V\u005cleft\u005c{2012,10,26,10,0,0.\u005cright\u005c}
p7309
sg15
I4
sass(g1696
g7200
g7281
I4
tp7310
(dp7311
g6
VDateList["31/10/1991"]
p7312
sg8
(lp7313
(dp7314
g11
(lp7315
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p7316
sg15
I5
sass(g1696
g7200
g7281
I5
tp7317
(dp7318
g6
VDateList["1/10/1991"]
p7319
sg8
(lp7320
(dp7321
g11
(lp7322
(dp7323
g149
I01
sg150
VDateList
p7324
sg152
Vambig
p7325
sg154
VDateList::ambig
p7326
sg156
VThe interpretation of 1/10/1991 is ambiguous.
p7327
sasg13
V\u005cleft\u005c{1991,1,10,0,0,0.\u005cright\u005c}
p7328
sg15
I6
sass(g1696
g7200
g7281
I8
tp7329
(dp7330
g6
VDateList[{"31/10/91", {"Day", "Month", "YearShort"}}]
p7331
sg8
(lp7332
(dp7333
g11
(lp7334
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p7335
sg15
I7
sass(g1696
g7200
g7281
I9
tp7336
(dp7337
g6
VDateList[{"31 10/91", {"Day", " ", "Month", "/", "YearShort"}}]
p7338
sg8
(lp7339
(dp7340
g11
(lp7341
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p7342
sg15
I8
sass(g1696
g7200
g7281
I14
tp7343
(dp7344
g6
VDateList[{"5/18", {"Month", "Day"}}]
p7345
sg8
(lp7346
(dp7347
g11
(lp7348
sg13
V\u005cleft\u005c{2020,5,18,0,0,0.\u005cright\u005c}
p7349
sg15
I9
sass(g1696
g7200
VDatePlus
p7350
I0
tp7351
(dp7352
g6
VDatePlus[{2010, 2, 5}, 73]
p7353
sg8
(lp7354
(dp7355
g11
(lp7356
sg13
V\u005cleft\u005c{2010,4,19\u005cright\u005c}
p7357
sg15
I1
sass(g1696
g7200
g7350
I1
tp7358
(dp7359
g6
VDatePlus[{2010, 2, 5}, {{8, "Week"}, {1, "Day"}}]
p7360
sg8
(lp7361
(dp7362
g11
(lp7363
sg13
V\u005cleft\u005c{2010,4,3\u005cright\u005c}
p7364
sg15
I2
sass(g1696
g7200
VDateString
p7365
I0
tp7366
(dp7367
g6
VDateString[];
p7368
sg8
(lp7369
(dp7370
g11
(lp7371
sg13
Nsg15
I1
sass(g1696
g7200
g7365
I1
tp7372
(dp7373
g6
VDateString[{1991, 10, 31, 0, 0}, {"Day", " ", "MonthName", " ", "Year"}]
p7374
sg8
(lp7375
(dp7376
g11
(lp7377
sg13
V\u005ctext{31 October 1991}
p7378
sg15
I2
sass(g1696
g7200
g7365
I2
tp7379
(dp7380
g6
VDateString[{2007, 4, 15, 0}]
p7381
sg8
(lp7382
(dp7383
g11
(lp7384
sg13
V\u005ctext{Sun 15 Apr 2007 00:00:00}
p7385
sg15
I3
sass(g1696
g7200
g7365
I3
tp7386
(dp7387
g6
VDateString[{1979, 3, 14}, {"DayName", "  ", "Month", "-", "YearShort"}]
p7388
sg8
(lp7389
(dp7390
g11
(lp7391
sg13
V\u005ctext{Wednesday  03-79}
p7392
sg15
I4
sass(g1696
g7200
g7365
I4
tp7393
(dp7394
g6
VDateString[{1991, 6, 6.5}]
p7395
sg8
(lp7396
(dp7397
g11
(lp7398
sg13
V\u005ctext{Thu 6 Jun 1991 12:00:00}
p7399
sg15
I5
sass(g1696
g7200
V$DateStringFormat
p7400
I0
tp7401
(dp7402
g6
V$DateStringFormat
p7403
sg8
(lp7404
(dp7405
g11
(lp7406
sg13
V\u005cleft\u005c{\u005ctext{DateTimeShort}\u005cright\u005c}
p7407
sg15
I1
sass(g1696
g7200
VEasterSunday
p7408
I0
tp7409
(dp7410
g6
VEasterSunday[2000]
p7411
sg8
(lp7412
(dp7413
g11
(lp7414
sg13
V\u005cleft\u005c{2000,4,23\u005cright\u005c}
p7415
sg15
I1
sass(g1696
g7200
g7408
I1
tp7416
(dp7417
g6
VEasterSunday[2030]
p7418
sg8
(lp7419
(dp7420
g11
(lp7421
sg13
V\u005cleft\u005c{2030,4,21\u005cright\u005c}
p7422
sg15
I2
sass(g1696
g7200
VPause
p7423
I0
tp7424
(dp7425
g6
VPause[0.5]
p7426
sg8
(lp7427
(dp7428
g11
(lp7429
sg13
Nsg15
I1
sass(g1696
g7200
VSessionTime
p7430
I0
tp7431
(dp7432
g6
VSessionTime[]
p7433
sg8
(lp7434
(dp7435
g11
(lp7436
sg13
V165.804
p7437
sg15
I1
sass(g1696
g7200
V$SystemTimeZone
p7438
I0
tp7439
(dp7440
g6
V$SystemTimeZone
p7441
sg8
(lp7442
(dp7443
g11
(lp7444
sg13
V-5.
p7445
sg15
I1
sass(g1696
g7200
VTimeUsed
p7446
I0
tp7447
(dp7448
g6
VTimeUsed[]
p7449
sg8
(lp7450
(dp7451
g11
(lp7452
sg13
V167.454
p7453
sg15
I1
sass(g1696
g7200
V$TimeZone
p7454
I0
tp7455
(dp7456
g6
V$TimeZone
p7457
sg8
(lp7458
(dp7459
g11
(lp7460
sg13
V-5.
p7461
sg15
I1
sass(g1696
g7200
VTiming
p7462
I0
tp7463
(dp7464
g6
VTiming[50!]
p7465
sg8
(lp7466
(dp7467
g11
(lp7468
sg13
V\u005cleft\u005c{0.00021879,30414093201713378043612608166064768844377641568960512000000000000\u005cright\u005c}
p7469
sg15
I1
sass(g1696
g7200
g7462
I1
tp7470
(dp7471
g6
VAttributes[Timing]
p7472
sg8
(lp7473
(dp7474
g11
(lp7475
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p7476
sg15
I2
sass(g1696
VDifferential Equations
p7477
VDSolve
p7478
I0
tp7479
(dp7480
g6
VDSolve[y''[x] == 0, y[x], x]
p7481
sg8
(lp7482
(dp7483
g11
(lp7484
sg13
V\u005cleft\u005c{\u005cleft\u005c{y\u005cleft[x\u005cright]->x C\u005cleft[2\u005cright]+C\u005cleft[1\u005cright]\u005cright\u005c}\u005cright\u005c}
p7485
sg15
I1
sass(g1696
g7477
g7478
I1
tp7486
(dp7487
g6
VDSolve[y''[x] == y[x], y[x], x]
p7488
sg8
(lp7489
(dp7490
g11
(lp7491
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}
p7492
sg15
I2
sass(g1696
g7477
g7478
I2
tp7493
(dp7494
g6
VDSolve[y''[x] == y[x], y, x]
p7495
sg8
(lp7496
(dp7497
g11
(lp7498
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}
p7499
sg15
I3
sass(g1696
g7477
g7478
I3
tp7500
(dp7501
g6
VDSolve[D[f[x, y], x] / f[x, y] + 3 D[f[x, y], y] / f[x, y] == 2, f, {x, y}]
p7502
sg8
(lp7503
(dp7504
g11
(lp7505
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}
p7506
sg15
I4
sass(g1696
g7477
g7478
I4
tp7507
(dp7508
g6
VDSolve[D[f[x, y], x] x + D[f[x, y], y] y == 2, f[x, y], {x, y}]
p7509
sg8
(lp7510
(dp7511
g11
(lp7512
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}
p7513
sg15
I5
sass(g1696
g7477
g7478
I5
tp7514
(dp7515
g6
VDSolve[D[y[x, t], t] + 2 D[y[x, t], x] == 0, y[x, t], {x, t}]
p7516
sg8
(lp7517
(dp7518
g11
(lp7519
sg13
V\u005cleft\u005c{\u005cleft\u005c{y\u005cleft[x,t\u005cright]->C\u005cleft[1\u005cright]\u005cleft[-2 t+x\u005cright]\u005cright\u005c}\u005cright\u005c}
p7520
sg15
I6
sass(g1696
VEvaluation
p7521
VEvaluate
p7522
I0
tp7523
(dp7524
g6
VSetAttributes[f, HoldAll]
p7525
sg8
(lp7526
(dp7527
g11
(lp7528
sg13
Nsg15
I1
sass(g1696
g7521
g7522
I1
tp7529
(dp7530
g6
Vf[1 + 2]
p7531
sg8
(lp7532
(dp7533
g11
(lp7534
sg13
Vf\u005cleft[1+2\u005cright]
p7535
sg15
I2
sass(g1696
g7521
g7522
I2
tp7536
(dp7537
g6
Vf[Evaluate[1 + 2]]
p7538
sg8
(lp7539
(dp7540
g11
(lp7541
sg13
Vf\u005cleft[3\u005cright]
p7542
sg15
I3
sass(g1696
g7521
g7522
I3
tp7543
(dp7544
g6
VHold[Evaluate[1 + 2]]
p7545
sg8
(lp7546
(dp7547
g11
(lp7548
sg13
V\u005ctext{Hold}\u005cleft[3\u005cright]
p7549
sg15
I4
sass(g1696
g7521
g7522
I4
tp7550
(dp7551
g6
VHoldComplete[Evaluate[1 + 2]]
p7552
sg8
(lp7553
(dp7554
g11
(lp7555
sg13
V\u005ctext{HoldComplete}\u005cleft[\u005ctext{Evaluate}\u005cleft[1+2\u005cright]\u005cright]
p7556
sg15
I5
sass(g1696
g7521
g7522
I5
tp7557
(dp7558
g6
VEvaluate[Sequence[1, 2]]
p7559
sg8
(lp7560
(dp7561
g11
(lp7562
sg13
V\u005ctext{Sequence}\u005cleft[1,2\u005cright]
p7563
sg15
I6
sass(g1696
g7521
V$HistoryLength
p7564
I0
tp7565
(dp7566
g6
V$HistoryLength
p7567
sg8
(lp7568
(dp7569
g11
(lp7570
sg13
V100
p7571
sg15
I1
sass(g1696
g7521
g7564
I1
tp7572
(dp7573
g6
V$HistoryLength = 1;
p7574
sg8
(lp7575
(dp7576
g11
(lp7577
sg13
Nsg15
I2
sass(g1696
g7521
g7564
I2
tp7578
(dp7579
g6
V42
p7580
sg8
(lp7581
(dp7582
g11
(lp7583
sg13
V42
p7584
sg15
I3
sass(g1696
g7521
g7564
I3
tp7585
(dp7586
g6
V%
p7587
sg8
(lp7588
(dp7589
g11
(lp7590
sg13
V42
p7591
sg15
I4
sass(g1696
g7521
g7564
I4
tp7592
(dp7593
g6
V%%
p7594
sg8
(lp7595
(dp7596
g11
(lp7597
sg13
V\u005ctext{\u005c%3}
p7598
sg15
I5
sass(g1696
g7521
g7564
I5
tp7599
(dp7600
g6
V$HistoryLength = 0;
p7601
sg8
(lp7602
(dp7603
g11
(lp7604
sg13
Nsg15
I6
sass(g1696
g7521
g7564
I6
tp7605
(dp7606
g6
V42
p7607
sg8
(lp7608
(dp7609
g11
(lp7610
sg13
V42
p7611
sg15
I7
sass(g1696
g7521
g7564
I7
tp7612
(dp7613
g6
g7587
sg8
(lp7614
(dp7615
g11
(lp7616
sg13
V\u005ctext{\u005c%7}
p7617
sg15
I8
sass(g1696
g7521
VHold
p7618
I0
tp7619
(dp7620
g6
VAttributes[Hold]
p7621
sg8
(lp7622
(dp7623
g11
(lp7624
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p7625
sg15
I1
sass(g1696
g7521
VHoldComplete
p7626
I0
tp7627
(dp7628
g6
VAttributes[HoldComplete]
p7629
sg8
(lp7630
(dp7631
g11
(lp7632
sg13
V\u005cleft\u005c{\u005ctext{HoldAllComplete},\u005ctext{Protected}\u005cright\u005c}
p7633
sg15
I1
sass(g1696
g7521
VHoldForm
p7634
I0
tp7635
(dp7636
g6
VHoldForm[1 + 2 + 3]
p7637
sg8
(lp7638
(dp7639
g11
(lp7640
sg13
V1+2+3
p7641
sg15
I1
sass(g1696
g7521
g7634
I1
tp7642
(dp7643
g6
VAttributes[HoldForm]
p7644
sg8
(lp7645
(dp7646
g11
(lp7647
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p7648
sg15
I2
sass(g1696
g7521
VIn
p7649
I0
tp7650
(dp7651
g6
Vx = 1
p7652
sg8
(lp7653
(dp7654
g11
(lp7655
sg13
V1
p7656
sg15
I1
sass(g1696
g7521
g7649
I1
tp7657
(dp7658
g6
Vx = x + 1
p7659
sg8
(lp7660
(dp7661
g11
(lp7662
sg13
V2
p7663
sg15
I2
sass(g1696
g7521
g7649
I2
tp7664
(dp7665
g6
VDo[In[2], {3}]
p7666
sg8
(lp7667
(dp7668
g11
(lp7669
sg13
Nsg15
I3
sass(g1696
g7521
g7649
I3
tp7670
(dp7671
g6
g195
sg8
(lp7672
(dp7673
g11
(lp7674
sg13
V5
p7675
sg15
I4
sass(g1696
g7521
g7649
I4
tp7676
(dp7677
g6
VIn[-1]
p7678
sg8
(lp7679
(dp7680
g11
(lp7681
sg13
V5
p7682
sg15
I5
sass(g1696
g7521
g7649
I5
tp7683
(dp7684
g6
VDefinition[In]
p7685
sg8
(lp7686
(dp7687
g11
(lp7688
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}
p7689
sg15
I6
sass(g1696
g7521
V$Line
p7690
I0
tp7691
(dp7692
g6
V$Line
p7693
sg8
(lp7694
(dp7695
g11
(lp7696
sg13
V1
p7697
sg15
I1
sass(g1696
g7521
g7690
I1
tp7698
(dp7699
g6
V$Line
p7700
sg8
(lp7701
(dp7702
g11
(lp7703
sg13
V2
p7704
sg15
I2
sass(g1696
g7521
g7690
I2
tp7705
(dp7706
g6
V$Line = 12;
p7707
sg8
(lp7708
(dp7709
g11
(lp7710
sg13
Nsg15
I3
sass(g1696
g7521
g7690
I3
tp7711
(dp7712
g6
V2 * 5
p7713
sg8
(lp7714
(dp7715
g11
(lp7716
sg13
V10
p7717
sg15
I13
sass(g1696
g7521
g7690
I4
tp7718
(dp7719
g6
VOut[13]
p7720
sg8
(lp7721
(dp7722
g11
(lp7723
sg13
V10
p7724
sg15
I14
sass(g1696
g7521
g7690
I5
tp7725
(dp7726
g6
V$Line = -1;
p7727
sg8
(lp7728
(dp7729
g11
(lp7730
(dp7731
g149
I01
sg150
V$Line
p7732
sg152
Vintnn
p7733
sg154
V$Line::intnn
p7734
sg156
VNon-negative integer expected.
p7735
sasg13
Nsg15
I15
sass(g1696
g7521
VOut
p7736
I0
tp7737
(dp7738
g6
V42
p7739
sg8
(lp7740
(dp7741
g11
(lp7742
sg13
V42
p7743
sg15
I1
sass(g1696
g7521
g7736
I1
tp7744
(dp7745
g6
g7587
sg8
(lp7746
(dp7747
g11
(lp7748
sg13
V42
p7749
sg15
I2
sass(g1696
g7521
g7736
I2
tp7750
(dp7751
g6
V43;
p7752
sg8
(lp7753
(dp7754
g11
(lp7755
sg13
Nsg15
I3
sass(g1696
g7521
g7736
I3
tp7756
(dp7757
g6
g7587
sg8
(lp7758
(dp7759
g11
(lp7760
sg13
V43
p7761
sg15
I4
sass(g1696
g7521
g7736
I4
tp7762
(dp7763
g6
V44
p7764
sg8
(lp7765
(dp7766
g11
(lp7767
sg13
V44
p7768
sg15
I5
sass(g1696
g7521
g7736
I5
tp7769
(dp7770
g6
V%1
p7771
sg8
(lp7772
(dp7773
g11
(lp7774
sg13
V42
p7775
sg15
I6
sass(g1696
g7521
g7736
I6
tp7776
(dp7777
g6
V%%
p7778
sg8
(lp7779
(dp7780
g11
(lp7781
sg13
V44
p7782
sg15
I7
sass(g1696
g7521
g7736
I7
tp7783
(dp7784
g6
VHold[Out[-1]]
p7785
sg8
(lp7786
(dp7787
g11
(lp7788
sg13
V\u005ctext{Hold}\u005cleft[\u005c%\u005cright]
p7789
sg15
I8
sass(g1696
g7521
g7736
I8
tp7790
(dp7791
g6
VHold[%4]
p7792
sg8
(lp7793
(dp7794
g11
(lp7795
sg13
V\u005ctext{Hold}\u005cleft[\u005ctext{\u005c%4}\u005cright]
p7796
sg15
I9
sass(g1696
g7521
g7736
I9
tp7797
(dp7798
g6
VOut[0]
p7799
sg8
(lp7800
(dp7801
g11
(lp7802
sg13
V\u005ctext{Out}\u005cleft[0\u005cright]
p7803
sg15
I10
sass(g1696
g7521
V$RecursionLimit
p7804
I0
tp7805
(dp7806
g6
Va = a + a
p7807
sg8
(lp7808
(dp7809
g11
(lp7810
(dp7811
g149
I01
sg150
V$RecursionLimit
p7812
sg152
g1030
sg154
V$RecursionLimit::reclim
p7813
sg156
VRecursion depth of 200 exceeded.
p7814
sasg13
V\u005ctext{\u005c$Aborted}
p7815
sg15
I1
sass(g1696
g7521
g7804
I1
tp7816
(dp7817
g6
V$RecursionLimit
p7818
sg8
(lp7819
(dp7820
g11
(lp7821
sg13
V200
p7822
sg15
I2
sass(g1696
g7521
g7804
I2
tp7823
(dp7824
g6
V$RecursionLimit = x;
p7825
sg8
(lp7826
(dp7827
g11
(lp7828
(dp7829
g149
I01
sg150
V$RecursionLimit
p7830
sg152
Vlimset
p7831
sg154
V$RecursionLimit::limset
p7832
sg156
VCannot set $RecursionLimit to x; value must be an integer between 20 and 512; use the MATHICS_MAX_RECURSION_DEPTH environment variable to allow higher limits.
p7833
sasg13
Nsg15
I3
sass(g1696
g7521
g7804
I3
tp7834
(dp7835
g6
V$RecursionLimit = 512
p7836
sg8
(lp7837
(dp7838
g11
(lp7839
sg13
V512
p7840
sg15
I4
sass(g1696
g7521
g7804
I4
tp7841
(dp7842
g6
Va = a + a
p7843
sg8
(lp7844
(dp7845
g11
(lp7846
(dp7847
g149
I01
sg150
V$RecursionLimit
p7848
sg152
g1030
sg154
V$RecursionLimit::reclim
p7849
sg156
VRecursion depth of 512 exceeded.
p7850
sasg13
V\u005ctext{\u005c$Aborted}
p7851
sg15
I5
sass(g1696
g7521
VReleaseHold
p7852
I0
tp7853
(dp7854
g6
Vx = 3;
p7855
sg8
(lp7856
(dp7857
g11
(lp7858
sg13
Nsg15
I1
sass(g1696
g7521
g7852
I1
tp7859
(dp7860
g6
VHold[x]
p7861
sg8
(lp7862
(dp7863
g11
(lp7864
sg13
V\u005ctext{Hold}\u005cleft[x\u005cright]
p7865
sg15
I2
sass(g1696
g7521
g7852
I2
tp7866
(dp7867
g6
VReleaseHold[Hold[x]]
p7868
sg8
(lp7869
(dp7870
g11
(lp7871
sg13
V3
p7872
sg15
I3
sass(g1696
g7521
g7852
I3
tp7873
(dp7874
g6
VReleaseHold[y]
p7875
sg8
(lp7876
(dp7877
g11
(lp7878
sg13
g3550
sg15
I4
sass(g1696
g7521
VSequence
p7879
I0
tp7880
(dp7881
g6
Vf[x, Sequence[a, b], y]
p7882
sg8
(lp7883
(dp7884
g11
(lp7885
sg13
Vf\u005cleft[x,a,b,y\u005cright]
p7886
sg15
I1
sass(g1696
g7521
g7879
I1
tp7887
(dp7888
g6
VAttributes[Set]
p7889
sg8
(lp7890
(dp7891
g11
(lp7892
sg13
V\u005cleft\u005c{\u005ctext{HoldFirst},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p7893
sg15
I2
sass(g1696
g7521
g7879
I2
tp7894
(dp7895
g6
Va = Sequence[b, c];
p7896
sg8
(lp7897
(dp7898
g11
(lp7899
sg13
Nsg15
I3
sass(g1696
g7521
g7879
I3
tp7900
(dp7901
g6
g542
sg8
(lp7902
(dp7903
g11
(lp7904
sg13
V\u005ctext{Sequence}\u005cleft[b,c\u005cright]
p7905
sg15
I4
sass(g1696
g7521
g7879
I4
tp7906
(dp7907
g6
Vlist = {1, 2, 3};
p7908
sg8
(lp7909
(dp7910
g11
(lp7911
sg13
Nsg15
I5
sass(g1696
g7521
g7879
I5
tp7912
(dp7913
g6
Vf[Sequence @@ list]
p7914
sg8
(lp7915
(dp7916
g11
(lp7917
sg13
Vf\u005cleft[1,2,3\u005cright]
p7918
sg15
I6
sass(g1696
g7521
g7879
I6
tp7919
(dp7920
g6
VHold[a, Sequence[b, c], d]
p7921
sg8
(lp7922
(dp7923
g11
(lp7924
sg13
V\u005ctext{Hold}\u005cleft[a,b,c,d\u005cright]
p7925
sg15
I7
sass(g1696
g7521
g7879
I7
tp7926
(dp7927
g6
VHold[{a, Sequence[b, c], d}]
p7928
sg8
(lp7929
(dp7930
g11
(lp7931
sg13
V\u005ctext{Hold}\u005cleft[\u005cleft\u005c{a,\u005ctext{Sequence}\u005cleft[b,c\u005cright],d\u005cright\u005c}\u005cright]
p7932
sg15
I8
sass(g1696
g7521
VUnevaluated
p7933
I0
tp7934
(dp7935
g6
VSqrt[Unevaluated[x]]
p7936
sg8
(lp7937
(dp7938
g11
(lp7939
sg13
V\u005csqrt{x}
p7940
sg15
I1
sass(g1696
g7521
g7933
I1
tp7941
(dp7942
g6
VLength[Unevaluated[1+2+3+4]]
p7943
sg8
(lp7944
(dp7945
g11
(lp7946
sg13
V4
p7947
sg15
I2
sass(g1696
g7521
g7933
I2
tp7948
(dp7949
g6
VAttributes[Unevaluated]
p7950
sg8
(lp7951
(dp7952
g11
(lp7953
sg13
V\u005cleft\u005c{\u005ctext{HoldAllComplete},\u005ctext{Protected}\u005cright\u005c}
p7954
sg15
I3
sass(g1696
g7521
g7933
I3
tp7955
(dp7956
g6
Vf[Unevaluated[x]]
p7957
sg8
(lp7958
(dp7959
g11
(lp7960
sg13
Vf\u005cleft[\u005ctext{Unevaluated}\u005cleft[x\u005cright]\u005cright]
p7961
sg15
I4
sass(g1696
g7521
g7933
I4
tp7962
(dp7963
g6
VAttributes[f] = {Flat};
p7964
sg8
(lp7965
(dp7966
g11
(lp7967
sg13
Nsg15
I5
sass(g1696
g7521
g7933
I5
tp7968
(dp7969
g6
Vf[a, Unevaluated[f[b, c]]]
p7970
sg8
(lp7971
(dp7972
g11
(lp7973
sg13
Vf\u005cleft[a,\u005ctext{Unevaluated}\u005cleft[b\u005cright],\u005ctext{Unevaluated}\u005cleft[c\u005cright]\u005cright]
p7974
sg15
I6
sass(g1696
g7521
g7933
I6
tp7975
(dp7976
g6
Vg[a, Sequence[Unevaluated[b], Unevaluated[c]]]
p7977
sg8
(lp7978
(dp7979
g11
(lp7980
sg13
Vg\u005cleft[a,\u005ctext{Unevaluated}\u005cleft[b\u005cright],\u005ctext{Unevaluated}\u005cleft[c\u005cright]\u005cright]
p7981
sg15
I7
sass(g1696
g7521
g7933
I7
tp7982
(dp7983
g6
Vg[Unevaluated[Sequence[a, b, c]]]
p7984
sg8
(lp7985
(dp7986
g11
(lp7987
sg13
Vg\u005cleft[\u005ctext{Unevaluated}\u005cleft[\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]\u005cright]\u005cright]
p7988
sg15
I8
sass(g1696
VExponential, Trigonometric and Hyperbolic Functions
p7989
VAnglePath
p7990
I0
tp7991
(dp7992
g6
VAnglePath[{90 Degree, 90 Degree, 90 Degree, 90 Degree}]
p7993
sg8
(lp7994
(dp7995
g11
(lp7996
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}
p7997
sg15
I1
sass(g1696
g7989
g7990
I1
tp7998
(dp7999
g6
VAnglePath[{{1, 1}, 90 Degree}, {{1, 90 Degree}, {2, 90 Degree}, {1, 90 Degree}, {2, 90 Degree}}]
p8000
sg8
(lp8001
(dp8002
g11
(lp8003
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}
p8004
sg15
I2
sass(g1696
g7989
g7990
I2
tp8005
(dp8006
g6
VAnglePath[{a, b}]
p8007
sg8
(lp8008
(dp8009
g11
(lp8010
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}
p8011
sg15
I3
sass(g1696
g7989
g7990
I3
tp8012
(dp8013
g6
VPrecision[Part[AnglePath[{N[1/3, 100], N[2/3, 100]}], 2, 1]]
p8014
sg8
(lp8015
(dp8016
g11
(lp8017
sg13
V100.
p8018
sg15
I4
sass(g1696
g7989
g7990
I4
tp8019
(dp8020
g6
VGraphics[Line[AnglePath[Table[1.7, {50}]]]]
p8021
sg8
(lp8022
(dp8023
g11
(lp8024
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
p8025
sg15
I5
sass(g1696
g7989
g7990
I5
tp8026
(dp8027
g6
VGraphics[Line[AnglePath[RandomReal[{-1, 1}, {100}]]]]
p8028
sg8
(lp8029
(dp8030
g11
(lp8031
sg13
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VArcTan[1]
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VCos[3 Pi]
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V\u005ctext{Power}\u005cleft[E, x\u005cright]
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sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((0,11.237)--(7.1429,12.005)--(14.286,12.8153)--(21.429,13.6702)--(28.571,14.5721)--(35.714,15.5237)--(42.857,16.5276)--(50,17.5868)--(57.143,18.7043)--(64.286,19.8832)--(71.429,21.1271)--(78.571,22.4394)--(85.714,23.8239)--(89.286,24.5445)--(92.857,25.2846)--(96.429,26.0449)--(100,26.8257)--(103.57,27.6278)--(107.14,28.4516)--(110.71,29.2979)--(114.29,30.167)--(117.86,31.0598)--(121.43,31.9768)--(125,32.9187)--(128.57,33.8862)--(132.14,34.88)--(135.71,35.9007)--(139.29,36.9491)--(142.86,38.026)--(146.43,39.1321)--(150,40.2683)--(153.57,41.4353)--(155.36,42.0306)--(157.14,42.634)--(160.71,43.8652)--(162.5,44.4933)--(164.29,45.1299)--(167.86,46.4289)--(169.64,47.0915)--(171.43,47.7631)--(175,49.1336)--(176.79,49.8327)--(178.57,50.5412)--(182.14,51.9871)--(183.93,52.7247)--(185.71,53.4723)--(189.29,54.9977)--(191.07,55.7759)--(192.86,56.5646)--(196.43,58.174)--(198.21,58.995)--(200,59.8271)--(203.57,61.5251)--(205.36,62.3913)--(207.14,63.2692)--(210.71,65.0606)--(212.5,65.9745)--(214.29,66.9007)--(217.86,68.7907)--(219.64,69.7548)--(221.43,70.732)--(225,72.726)--(226.79,73.7432)--(228.57,74.7742)--(232.14,76.8779)--(233.93,77.9511)--(235.71,79.0388)--(239.29,81.2583)--(241.07,82.3906)--(242.86,83.5381)--(246.43,85.8798)--(248.21,87.0744)--(250,88.285)--(253.57,90.7556)--(255.36,92.0159)--(257.14,93.2932)--(260.71,95.8997)--(262.5,97.2294)--(264.29,98.577)--(267.86,101.327)--(269.64,102.73)--(271.43,104.152)--(275,107.053)--(276.79,108.533)--(278.57,110.033)--(282.14,113.094)--(283.93,114.655)--(285.71,116.238)--(289.29,119.467)--(291.07,121.115)--(292.86,122.784)--(296.43,126.191)--(300,129.691)--(303.57,133.286)--(307.14,136.978)--(310.71,140.77)--(314.29,144.666)--(317.86,148.667)--(321.43,152.777)--(325,156.998)--(328.57,161.334)--(332.14,165.788)--(335.71,170.362)--(339.29,175.061)--(342.86,179.887)--(346.43,184.845)--(350,189.936)--(353.57,195.167)--(357.14,200.539)--(364.29,211.725)--(371.43,223.526)--(378.57,235.977)--(385.71,249.113)--(392.86,262.971)--(400,277.593), 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0)+linewidth(0.66667));draw((213.33,-2.71893)--(213.33,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((226.67,-2.71893)--(226.67,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((240,-2.71893)--(240,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((253.33,-2.71893)--(253.33,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((280,-2.71893)--(280,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((293.33,-2.71893)--(293.33,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((306.67,-2.71893)--(306.67,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((320,-2.71893)--(320,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((346.67,-2.71893)--(346.67,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((360,-2.71893)--(360,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((373.33,-2.71893)--(373.33,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((386.67,-2.71893)--(386.67,1.28107), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (-2.6666666666666665,67.06062572837394), (-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
p8435
sg15
I4
sass(g1696
g7989
VGoldenRatio
p8436
I0
tp8437
(dp8438
g6
VN[GoldenRatio]
p8439
sg8
(lp8440
(dp8441
g11
(lp8442
sg13
V1.61803
p8443
sg15
I1
sass(g1696
g7989
VHaversine
p8444
I0
tp8445
(dp8446
g6
VHaversine[1.5]
p8447
sg8
(lp8448
(dp8449
g11
(lp8450
sg13
V0.464631
p8451
sg15
I1
sass(g1696
g7989
g8444
I1
tp8452
(dp8453
g6
VHaversine[0.5 + 2I]
p8454
sg8
(lp8455
(dp8456
g11
(lp8457
sg13
V-1.15082+0.869405 I
p8458
sg15
I2
sass(g1696
g7989
VInverseHaversine
p8459
I0
tp8460
(dp8461
g6
VInverseHaversine[0.5]
p8462
sg8
(lp8463
(dp8464
g11
(lp8465
sg13
V1.5708
p8466
sg15
I1
sass(g1696
g7989
g8459
I1
tp8467
(dp8468
g6
VInverseHaversine[1 + 2.5 I]
p8469
sg8
(lp8470
(dp8471
g11
(lp8472
sg13
V1.76459+2.33097 I
p8473
sg15
I2
sass(g1696
g7989
VLog
p8474
I0
tp8475
(dp8476
g6
VLog[{0, 1, E, E * E, E ^ 3, E ^ x}]
p8477
sg8
(lp8478
(dp8479
g11
(lp8480
sg13
V\u005cleft\u005c{-\u005cinfty ,0,1,2,3,\u005ctext{Log}\u005cleft[E^x\u005cright]\u005cright\u005c}
p8481
sg15
I1
sass(g1696
g7989
g8474
I1
tp8482
(dp8483
g6
VLog[0.]
p8484
sg8
(lp8485
(dp8486
g11
(lp8487
sg13
V\u005ctext{Indeterminate}
p8488
sg15
I2
sass(g1696
g7989
g8474
I2
tp8489
(dp8490
g6
VPlot[Log[x], {x, 0, 5}]
p8491
sg8
(lp8492
(dp8493
g11
(lp8494
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), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,98.9184)--(416,98.9184), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (80.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (160.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$3$", (240.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (320.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$5$", (400.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000adraw((80,98.9184)--(80,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((160,98.9184)--(160,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((240,98.9184)--(240,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((320,98.9184)--(320,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((400,98.9184)--(400,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((16,98.9184)--(16,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((32,98.9184)--(32,102.918), rgb(0, 0, 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
p8495
sg15
I3
sass(g1696
g7989
VLog10
p8496
I0
tp8497
(dp8498
g6
VLog10[1000]
p8499
sg8
(lp8500
(dp8501
g11
(lp8502
sg13
V3
p8503
sg15
I1
sass(g1696
g7989
g8496
I1
tp8504
(dp8505
g6
VLog10[{2., 5.}]
p8506
sg8
(lp8507
(dp8508
g11
(lp8509
sg13
V\u005cleft\u005c{0.30103,0.69897\u005cright\u005c}
p8510
sg15
I2
sass(g1696
g7989
g8496
I2
tp8511
(dp8512
g6
VLog10[E ^ 3]
p8513
sg8
(lp8514
(dp8515
g11
(lp8516
sg13
V\u005cfrac{3}{\u005ctext{Log}\u005cleft[10\u005cright]}
p8517
sg15
I3
sass(g1696
g7989
VLog2
p8518
I0
tp8519
(dp8520
g6
VLog2[4 ^ 8]
p8521
sg8
(lp8522
(dp8523
g11
(lp8524
sg13
V16
p8525
sg15
I1
sass(g1696
g7989
g8518
I1
tp8526
(dp8527
g6
VLog2[5.6]
p8528
sg8
(lp8529
(dp8530
g11
(lp8531
sg13
V2.48543
p8532
sg15
I2
sass(g1696
g7989
g8518
I2
tp8533
(dp8534
g6
VLog2[E ^ 2]
p8535
sg8
(lp8536
(dp8537
g11
(lp8538
sg13
V\u005cfrac{2}{\u005ctext{Log}\u005cleft[2\u005cright]}
p8539
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p8554
sg15
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p8569
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p8576
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p8591
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g8584
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g11
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V\u005cfrac{1}{\u005ctext{Cos}\u005cleft[1\u005cright]}
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p8605
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p8642
sg15
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g8614
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tp8643
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g6
VPlot[Sin[x], {x, -Pi, Pi}]
p8645
sg8
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g11
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sg13
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g11
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sg15
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sass(g1696
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g11
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p8665
sg15
I1
sass(g1696
g7989
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g6
VTan[Pi / 2]
p8668
sg8
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(dp8670
g11
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sg13
V\u005ctext{ComplexInfinity}
p8672
sg15
I2
sass(g1696
g7989
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p8673
I0
tp8674
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g6
VTanh[0]
p8676
sg8
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g11
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sg13
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p8680
sg15
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sass(g1696
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p8681
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p8682
I0
tp8683
(dp8684
g6
VComposition[f, g][x]
p8685
sg8
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g11
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sg13
Vf\u005cleft[g\u005cleft[x\u005cright]\u005cright]
p8689
sg15
I1
sass(g1696
g8681
g8682
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tp8690
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g6
VComposition[f, g, h][x, y, z]
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g11
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sg13
Vf\u005cleft[g\u005cleft[h\u005cleft[x,y,z\u005cright]\u005cright]\u005cright]
p8696
sg15
I2
sass(g1696
g8681
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tp8697
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g6
VComposition[]
p8699
sg8
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g11
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sg13
V\u005ctext{Identity}
p8703
sg15
I3
sass(g1696
g8681
g8682
I3
tp8704
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g6
VComposition[][x]
p8706
sg8
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g11
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sg13
g195
sg15
I4
sass(g1696
g8681
g8682
I4
tp8710
(dp8711
g6
VAttributes[Composition]
p8712
sg8
(lp8713
(dp8714
g11
(lp8715
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{OneIdentity},\u005ctext{Protected}\u005cright\u005c}
p8716
sg15
I5
sass(g1696
g8681
g8682
I5
tp8717
(dp8718
g6
VComposition[f, Composition[g, h]]
p8719
sg8
(lp8720
(dp8721
g11
(lp8722
sg13
V\u005ctext{Composition}\u005cleft[f,g,h\u005cright]
p8723
sg15
I6
sass(g1696
g8681
VFunction
p8724
I0
tp8725
(dp8726
g6
Vf := # ^ 2 &
p8727
sg8
(lp8728
(dp8729
g11
(lp8730
sg13
Nsg15
I1
sass(g1696
g8681
g8724
I1
tp8731
(dp8732
g6
Vf[3]
p8733
sg8
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g11
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sg13
V9
p8737
sg15
I2
sass(g1696
g8681
g8724
I2
tp8738
(dp8739
g6
V#^3& /@ {1, 2, 3}
p8740
sg8
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(dp8742
g11
(lp8743
sg13
V\u005cleft\u005c{1,8,27\u005cright\u005c}
p8744
sg15
I3
sass(g1696
g8681
g8724
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tp8745
(dp8746
g6
V#1+#2&[4, 5]
p8747
sg8
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g11
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sg13
V9
p8751
sg15
I4
sass(g1696
g8681
g8724
I4
tp8752
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g6
VFunction[{x, y}, x * y][2, 3]
p8754
sg8
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g11
(lp8757
sg13
V6
p8758
sg15
I5
sass(g1696
g8681
g8724
I5
tp8759
(dp8760
g6
VFunction[{x}, Function[{y}, f[x, y]]][y]
p8761
sg8
(lp8762
(dp8763
g11
(lp8764
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{\u005ctext{y\u005c$}\u005cright\u005c},f\u005cleft[y,\u005ctext{y\u005c$}\u005cright]\u005cright]
p8765
sg15
I6
sass(g1696
g8681
g8724
I6
tp8766
(dp8767
g6
VFunction[{y}, f[x, y]] /. x->y
p8768
sg8
(lp8769
(dp8770
g11
(lp8771
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{y\u005cright\u005c},f\u005cleft[y,y\u005cright]\u005cright]
p8772
sg15
I7
sass(g1696
g8681
g8724
I7
tp8773
(dp8774
g6
VFunction[y, Function[x, y^x]][x][y]
p8775
sg8
(lp8776
(dp8777
g11
(lp8778
sg13
Vx^y
p8779
sg15
I8
sass(g1696
g8681
g8724
I8
tp8780
(dp8781
g6
VFunction[x, Function[y, x^y]][x][y]
p8782
sg8
(lp8783
(dp8784
g11
(lp8785
sg13
Vx^y
p8786
sg15
I9
sass(g1696
g8681
g8724
I9
tp8787
(dp8788
g6
Vg[#] & [h[#]] & [5]
p8789
sg8
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(dp8791
g11
(lp8792
sg13
Vg\u005cleft[h\u005cleft[5\u005cright]\u005cright]
p8793
sg15
I10
sass(g1696
g8681
VIdentity
p8794
I0
tp8795
(dp8796
g6
VIdentity[x]
p8797
sg8
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g11
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sg13
g195
sg15
I1
sass(g1696
g8681
g8794
I1
tp8801
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g6
VIdentity[x, y]
p8803
sg8
(lp8804
(dp8805
g11
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sg13
V\u005ctext{Identity}\u005cleft[x,y\u005cright]
p8807
sg15
I2
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VSlot
p8808
I0
tp8809
(dp8810
g6
g1267
sg8
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ss(g1696
g8681
g8808
I1
tp8812
(dp8813
g6
V{#1, #2, #3}&[1, 2, 3, 4, 5]
p8814
sg8
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(dp8816
g11
(lp8817
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p8818
sg15
I1
sass(g1696
g8681
g8808
I2
tp8819
(dp8820
g6
VIf[#1<=1, 1, #1 #0[#1-1]]& [10]
p8821
sg8
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(dp8823
g11
(lp8824
sg13
V3628800
p8825
sg15
I2
sass(g1696
g8681
VSlotSequence
p8826
I0
tp8827
(dp8828
g6
VPlus[##]& [1, 2, 3]
p8829
sg8
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(dp8831
g11
(lp8832
sg13
V6
p8833
sg15
I1
sass(g1696
g8681
g8826
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tp8834
(dp8835
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VPlus[##2]& [1, 2, 3]
p8836
sg8
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g11
(lp8839
sg13
V5
p8840
sg15
I2
sass(g1696
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g6
VFullForm[##]
p8843
sg8
(lp8844
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g11
(lp8846
sg13
V\u005ctext{SlotSequence}\u005cleft[1\u005cright]
p8847
sg15
I3
sass(g1696
VGraphics
p8848
VAbsoluteThickness
p8849
I0
tp8850
(dp8851
g6
VGraphics[Table[{AbsoluteThickness[t], Line[{{20 t, 10}, {20 t, 80}}], Text[ToString[t]<>"pt", {20 t, 0}]}, {t, 0, 10}]]
p8852
sg8
(lp8853
(dp8854
g11
(lp8855
sg13
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p8856
sg15
I1
sass(g1696
g8848
VArrow
p8857
I0
tp8858
(dp8859
g6
VGraphics[Arrow[{{0,0}, {1,1}}]]
p8860
sg8
(lp8861
(dp8862
g11
(lp8863
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000adraw((0,    0)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));filldraw((350,  350)--(336.09,342.05)--(340.06,340.063)--(342.05,336.088)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p8864
sg15
I1
sass(g1696
g8848
g8857
I1
tp8865
(dp8866
g6
VGraphics[{Circle[], Arrow[{{2, 1}, {0, 0}}, 1]}]
p8867
sg8
(lp8868
(dp8869
g11
(lp8870
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.1697cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((368.48,271.738)--(331.52,253.262), rgb(0, 0, 0)+linewidth(0.66667));filldraw((331.52,253.262)--(348.05,256.567)--(344.74,259.872)--(344.08,264.498)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.33333,0.33333), (369.14,349.67)));\u000a\u005cend{asy}\u000a
p8871
sg15
I2
sass(g1696
g8848
g8857
I2
tp8872
(dp8873
g6
VTable[Graphics[{Circle[], Arrow[Table[{Cos[phi],Sin[phi]},{phi,0,2*Pi,Pi/2}],{d, d}]}],{d,0,2,0.5}]
p8874
sg8
(lp8875
(dp8876
g11
(lp8877
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  175)--(175,  350)--(0,  175)--(175,    0)--(350,  175), rgb(0, 0, 0)+linewidth(0.66667));filldraw((350,  175)--(336.09,167.05)--(340.06,165.063)--(342.05,161.088)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8278cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((288.13,236.872)--(175,  350)--(0,  175)--(175,    0)--(288.13,113.128), rgb(0, 0, 0)+linewidth(0.66667));filldraw((288.13,113.128)--(274.23,105.186)--(278.2,103.2)--(280.19,99.2293)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (350.33,350.67)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8278cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((226.26,298.744)--(175,  350)--(0,  175)--(175,    0)--(226.26,51.2563), rgb(0, 0, 0)+linewidth(0.66667));filldraw((226.26,51.2563)--(212.36,43.3141)--(216.33,41.3285)--(218.31,37.3574)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (350.33,350.67)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8612cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((164.38,339.384)--(0,  175)--(164.38,10.6155), rgb(0, 0, 0)+linewidth(0.66667));filldraw((164.38,10.6155)--(156.44,24.5144)--(154.46,20.5433)--(150.49,18.5578)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.66667,0.33333), (350.33,349.67)));\u000a\u005cend{asy}\u000a,\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8612cm, 5.8333cm);\u000adraw(ellipse((175,175),175,175), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((102.51,277.513)--(0,  175)--(102.51,72.4874), rgb(0, 0, 0)+linewidth(0.66667));filldraw((102.51,72.4874)--(94.57,86.3863)--(92.585,82.4152)--(88.614,80.4296)--cycle, rgb(0, 0, 0));\u000aclip(box((-0.66667,0.33333), (350.33,349.67)));\u000a\u005cend{asy}\u000a\u005cright\u005c}
p8878
sg15
I3
sass(g1696
g8848
VArrowheads
p8879
I0
tp8880
(dp8881
g6
VGraphics[{Circle[],Arrowheads[{-0.04, 0.04}], Arrow[{{0, 0}, {2, 2}}, {1,1}]}]
p8882
sg8
(lp8883
(dp8884
g11
(lp8885
sg13
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
p8886
sg15
I1
sass(g1696
g8848
g8879
I1
tp8887
(dp8888
g6
VGraphics[{Circle[], Arrowheads[{{0.04, 1, Graphics[{Red, Disk[]}]}}], Arrow[{{0, 0}, {Cos[Pi/3],Sin[Pi/3]}}]}]
p8889
sg8
(lp8890
(dp8891
g11
(lp8892
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));\u000adraw((175,  175)--(262.5,326.554), rgb(0, 0, 0)+linewidth(0.66667));\u000a    add(shift(262.500000, 326.554446) * scale(-0.080152, -0.080152) * rotate(150.000000) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(1, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000aclip(box((-0.33333,0.33333), (350.33,349.67)));\u000a\u005cend{asy}\u000a
p8893
sg15
I2
sass(g1696
g8848
g8879
I2
tp8894
(dp8895
g6
VGraphics[{Arrowheads[Table[{0.04, i/10, Graphics[Disk[]]},{i,1,10}]], Arrow[{{0, 0}, {6, 5}, {1, -3}, {-2, 2}}]}]
p8896
sg8
(lp8897
(dp8898
g11
(lp8899
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000adraw((87.5,131.25)--(350,  350)--(131.25,    0)--(0,218.75), rgb(0, 0, 0)+linewidth(0.66667));\u000a    add(shift(165.054953, 195.879127) * scale(-0.080305, -0.080305) * rotate(129.805571) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(242.609906, 260.508255) * scale(-0.080305, -0.080305) * rotate(129.805571) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(320.164859, 325.137382) * scale(-0.080305, -0.080305) * rotate(129.805571) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(317.077911, 297.324657) * scale(-0.080305, -0.080305) * rotate(-32.005383) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(263.572438, 211.715900) * scale(-0.080305, -0.080305) * rotate(-32.005383) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(210.066965, 126.107144) * scale(-0.080305, -0.080305) * rotate(-32.005383) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(156.561492, 40.498387) * scale(-0.080305, -0.080305) * rotate(-32.005383) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(103.880731, 45.615448) * scale(-0.080305, -0.080305) * rotate(210.963757) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(51.940366, 132.182724) * scale(-0.080305, -0.080305) * rotate(210.963757) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000a    add(shift(-0.000000, 218.750000) * scale(-0.080305, -0.080305) * rotate(210.963757) * shift(-175.000000, -175.000000) * (new picture() {\u000a        picture saved = currentpicture;\u000a        picture transformed = new picture;\u000a        currentpicture = transformed;\u000a        filldraw(ellipse((175,175),175,-175), rgb(0, 0, 0), nullpen);\u000a        currentpicture = saved;\u000a        return transformed;\u000a    })());\u000a    \u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p8900
sg15
I3
sass(g1696
g8848
VAutomatic
p8901
I0
tp8902
(dp8903
g6
VCases[Options[Plot], HoldPattern[_ :> Automatic]]
p8904
sg8
(lp8905
(dp8906
g11
(lp8907
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}
p8908
sg15
I1
sass(g1696
g8848
VBezierCurve
p8909
I0
tp8910
(dp8911
g6
VGraphics[BezierCurve[{{0, 0},{1, 1},{2, -1},{3, 0}}]]
p8912
sg8
(lp8913
(dp8914
g11
(lp8915
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
p8916
sg15
I1
sass(g1696
g8848
g8909
I1
tp8917
(dp8918
g6
VModule[{p={{0, 0},{1, 1},{2, -1},{4, 0}}}, Graphics[{BezierCurve[p], Red, Point[Table[BezierFunction[p][x], {x, 0, 1, 0.1}]]}]]
p8919
sg8
(lp8920
(dp8921
g11
(lp8922
sg13
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
p8923
sg15
I2
sass(g1696
g8848
VBlack
p8924
I0
tp8925
(dp8926
g6
VGraphics[{EdgeForm[Black], Black, Disk[]}, ImageSize->Small]
p8927
sg8
(lp8928
(dp8929
g11
(lp8930
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
p8931
sg15
I1
sass(g1696
g8848
g8924
I1
tp8932
(dp8933
g6
VBlack // ToBoxes
p8934
sg8
(lp8935
(dp8936
g11
(lp8937
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, 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]
p8938
sg15
I2
sass(g1696
g8848
g8924
I2
tp8939
(dp8940
g6
VBlack
p8941
sg8
(lp8942
(dp8943
g11
(lp8944
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, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p8945
sg15
I3
sass(g1696
g8848
VBlend
p8946
I0
tp8947
(dp8948
g6
VBlend[{Red, Blue}]
p8949
sg8
(lp8950
(dp8951
g11
(lp8952
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, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p8953
sg15
I1
sass(g1696
g8848
g8946
I1
tp8954
(dp8955
g6
VBlend[{Red, Blue}, 0.3]
p8956
sg8
(lp8957
(dp8958
g11
(lp8959
sg13
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
p8960
sg15
I2
sass(g1696
g8848
g8946
I2
tp8961
(dp8962
g6
VBlend[{Red, Blue, Green}, 0.75]
p8963
sg8
(lp8964
(dp8965
g11
(lp8966
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p8967
sg15
I3
sass(g1696
g8848
g8946
I3
tp8968
(dp8969
g6
VGraphics[Table[{Blend[{Red, Green, Blue}, x], Rectangle[{10 x, 0}]}, {x, 0, 1, 1/10}]]
p8970
sg8
(lp8971
(dp8972
g11
(lp8973
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 0.60606cm);\u000afilldraw((0,0)--(36.364,0)--(36.364,36.364)--(0,36.364)--cycle, rgb(1, 0, 0), nullpen);\u000afilldraw((36.364,0)--(72.727,0)--(72.727,36.364)--(36.364,36.364)--cycle, rgb(0.8, 0.2, 0), nullpen);\u000afilldraw((72.727,0)--(109.09,0)--(109.09,36.364)--(72.727,36.364)--cycle, rgb(0.6, 0.4, 0), nullpen);\u000afilldraw((109.09,0)--(145.45,0)--(145.45,36.364)--(109.09,36.364)--cycle, rgb(0.4, 0.6, 0), nullpen);\u000afilldraw((145.45,0)--(181.82,0)--(181.82,36.364)--(145.45,36.364)--cycle, rgb(0.2, 0.8, 0), nullpen);\u000afilldraw((181.82,0)--(218.18,0)--(218.18,36.364)--(181.82,36.364)--cycle, rgb(0, 1, 0), nullpen);\u000afilldraw((218.18,0)--(254.55,0)--(254.55,36.364)--(218.18,36.364)--cycle, rgb(0, 0.8, 0.2), nullpen);\u000afilldraw((254.55,0)--(290.91,0)--(290.91,36.364)--(254.55,36.364)--cycle, rgb(0, 0.6, 0.4), nullpen);\u000afilldraw((290.91,0)--(327.27,0)--(327.27,36.364)--(290.91,36.364)--cycle, rgb(0, 0.4, 0.6), nullpen);\u000afilldraw((327.27,0)--(363.64,0)--(363.64,36.364)--(327.27,36.364)--cycle, rgb(0, 0.2, 0.8), nullpen);\u000afilldraw((363.64,0)--(400,0)--(400,36.364)--(363.64,36.364)--cycle, rgb(0, 0, 1), nullpen);\u000aclip(box((0,0), (400,36.364)));\u000a\u005cend{asy}\u000a
p8974
sg15
I4
sass(g1696
g8848
g8946
I4
tp8975
(dp8976
g6
VGraphics[Table[{Blend[{RGBColor[1, 0.5, 0, 0.5], RGBColor[0, 0, 1, 0.5]}, x], Disk[{5x, 0}]}, {x, 0, 1, 1/10}]]
p8977
sg8
(lp8978
(dp8979
g11
(lp8980
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 1.9048cm);\u000afilldraw(ellipse((57.143,57.143),57.143,57.143), rgb(1, 0.5, 0)+opacity(0.5), nullpen);\u000afilldraw(ellipse((85.714,57.143),57.143,57.143), rgb(0.9, 0.45, 0.1)+opacity(0.5), nullpen);\u000afilldraw(ellipse((114.29,57.143),57.143,57.143), rgb(0.8, 0.4, 0.2)+opacity(0.5), nullpen);\u000afilldraw(ellipse((142.86,57.143),57.143,57.143), rgb(0.7, 0.35, 0.3)+opacity(0.5), nullpen);\u000afilldraw(ellipse((171.43,57.143),57.143,57.143), rgb(0.6, 0.3, 0.4)+opacity(0.5), nullpen);\u000afilldraw(ellipse((200,57.143),57.143,57.143), rgb(0.5, 0.25, 0.5)+opacity(0.5), nullpen);\u000afilldraw(ellipse((228.57,57.143),57.143,57.143), rgb(0.4, 0.2, 0.6)+opacity(0.5), nullpen);\u000afilldraw(ellipse((257.14,57.143),57.143,57.143), rgb(0.3, 0.15, 0.7)+opacity(0.5), nullpen);\u000afilldraw(ellipse((285.71,57.143),57.143,57.143), rgb(0.2, 0.1, 0.8)+opacity(0.5), nullpen);\u000afilldraw(ellipse((314.29,57.143),57.143,57.143), rgb(0.1, 0.05, 0.9)+opacity(0.5), nullpen);\u000afilldraw(ellipse((342.86,57.143),57.143,57.143), rgb(0, 0, 1)+opacity(0.5), nullpen);\u000aclip(box((0,0), (400,114.29)));\u000a\u005cend{asy}\u000a
p8981
sg15
I5
sass(g1696
g8848
VBlue
p8982
I0
tp8983
(dp8984
g6
VGraphics[{EdgeForm[Black], Blue, Disk[]}, ImageSize->Small]
p8985
sg8
(lp8986
(dp8987
g11
(lp8988
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
p8989
sg15
I1
sass(g1696
g8848
g8982
I1
tp8990
(dp8991
g6
VBlue // ToBoxes
p8992
sg8
(lp8993
(dp8994
g11
(lp8995
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]
p8996
sg15
I2
sass(g1696
g8848
g8982
I2
tp8997
(dp8998
g6
VBlue
p8999
sg8
(lp9000
(dp9001
g11
(lp9002
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
p9003
sg15
I3
sass(g1696
g8848
VCMYKColor
p9004
I0
tp9005
(dp9006
g6
VGraphics[MapIndexed[{CMYKColor @@ #1, Disk[2*#2 ~Join~ {0}]} &, IdentityMatrix[4]], ImageSize->Small]
p9007
sg8
(lp9008
(dp9009
g11
(lp9010
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
p9011
sg15
I1
sass(g1696
g8848
VCircle
p9012
I0
tp9013
(dp9014
g6
VGraphics[{Red, Circle[{0, 0}, {2, 1}]}]
p9015
sg8
(lp9016
(dp9017
g11
(lp9018
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
p9019
sg15
I1
sass(g1696
g8848
g9012
I1
tp9020
(dp9021
g6
VGraphics[{Circle[], Disk[{0, 0}, {1, 1}, {0, 2.1}]}]
p9022
sg8
(lp9023
(dp9024
g11
(lp9025
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
p9026
sg15
I2
sass(g1696
g8848
VColorDistance
p9027
I0
tp9028
(dp9029
g6
VColorDistance[Magenta, Green]
p9030
sg8
(lp9031
(dp9032
g11
(lp9033
sg13
V2.2507
p9034
sg15
I1
sass(g1696
g8848
g9027
I1
tp9035
(dp9036
g6
VColorDistance[{Red, Blue}, {Green, Yellow}, DistanceFunction -> {"CMC", "Perceptibility"}]
p9037
sg8
(lp9038
(dp9039
g11
(lp9040
sg13
V\u005cleft\u005c{1.0495,1.27455\u005cright\u005c}
p9041
sg15
I2
sass(g1696
g8848
VCyan
p9042
I0
tp9043
(dp9044
g6
VGraphics[{EdgeForm[Black], Cyan, Disk[]}, ImageSize->Small]
p9045
sg8
(lp9046
(dp9047
g11
(lp9048
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
p9049
sg15
I1
sass(g1696
g8848
g9042
I1
tp9050
(dp9051
g6
VCyan // ToBoxes
p9052
sg8
(lp9053
(dp9054
g11
(lp9055
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, 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]
p9056
sg15
I2
sass(g1696
g8848
g9042
I2
tp9057
(dp9058
g6
VCyan
p9059
sg8
(lp9060
(dp9061
g11
(lp9062
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
p9063
sg15
I3
sass(g1696
g8848
VDarker
p9064
I0
tp9065
(dp9066
g6
VGraphics[Table[{Darker[Yellow, x], Disk[{12x, 0}]}, {x, 0, 1, 1/6}]]
p9067
sg8
(lp9068
(dp9069
g11
(lp9070
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
p9071
sg15
I1
sass(g1696
g8848
VDisk
p9072
I0
tp9073
(dp9074
g6
VGraphics[{Blue, Disk[{0, 0}, {2, 1}]}]
p9075
sg8
(lp9076
(dp9077
g11
(lp9078
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
p9079
sg15
I1
sass(g1696
g8848
g9072
I1
tp9080
(dp9081
g6
VGraphics[{EdgeForm[Black], Red, Disk[]}]
p9082
sg8
(lp9083
(dp9084
g11
(lp9085
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
p9086
sg15
I2
sass(g1696
g8848
g9072
I2
tp9087
(dp9088
g6
VGraphics[Disk[{0, 0}, 1, {Pi / 3, 2 Pi / 3}]]
p9089
sg8
(lp9090
(dp9091
g11
(lp9092
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
p9093
sg15
I3
sass(g1696
g8848
g9072
I3
tp9094
(dp9095
g6
VGraphics[{Blue, Disk[{0, 0}, {1, 2}, {Pi / 3, 5 Pi / 3}]}]
p9096
sg8
(lp9097
(dp9098
g11
(lp9099
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
p9100
sg15
I4
sass(g1696
g8848
VEdgeForm
p9101
I0
tp9102
(dp9103
g6
VGraphics[{EdgeForm[{Thick, Green}], Disk[]}]
p9104
sg8
(lp9105
(dp9106
g11
(lp9107
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
p9108
sg15
I1
sass(g1696
g8848
g9101
I1
tp9109
(dp9110
g6
VGraphics[{Style[Disk[],EdgeForm[{Thick,Red}]], Circle[{1,1}]}]
p9111
sg8
(lp9112
(dp9113
g11
(lp9114
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
p9115
sg15
I2
sass(g1696
g8848
VFilledCurve
p9116
I0
tp9117
(dp9118
g6
VGraphics[FilledCurve[{Line[{{0, 0}, {1, 1}, {2, 0}}]}]]
p9119
sg8
(lp9120
(dp9121
g11
(lp9122
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
p9123
sg15
I1
sass(g1696
g8848
g9116
I1
tp9124
(dp9125
g6
VGraphics[FilledCurve[{BezierCurve[{{0, 0}, {1, 1}, {2, 0}}], Line[{{3, 0}, {0, 2}}]}]]
p9126
sg8
(lp9127
(dp9128
g11
(lp9129
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
p9130
sg15
I2
sass(g1696
g8848
VGraphics
p9131
I0
tp9132
(dp9133
g6
VGraphics[{Blue, Line[{{0,0}, {1,1}}]}]
p9134
sg8
(lp9135
(dp9136
g11
(lp9137
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
p9138
sg15
I1
sass(g1696
g8848
g9131
I1
tp9139
(dp9140
g6
VGraphics[{Rectangle[{1, 1}]}, Axes -> True, PlotRange -> {{-2, 1.5}, {-1, 1.5}}]
p9141
sg8
(lp9142
(dp9143
g11
(lp9144
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, 0, 0)+linewidth(0.66667));draw((114.29,114.286)--(114.29,120.952), rgb(0, 0, 0)+linewidth(0.66667));draw((171.43,114.286)--(171.43,120.952), rgb(0, 0, 0)+linewidth(0.66667));draw((285.71,114.286)--(285.71,120.952), rgb(0, 0, 0)+linewidth(0.66667));draw((342.86,114.286)--(342.86,120.952), rgb(0, 0, 0)+linewidth(0.66667));draw((400,114.286)--(400,120.952), rgb(0, 0, 0)+linewidth(0.66667));draw((11.429,114.286)--(11.429,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((22.857,114.286)--(22.857,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((34.286,114.286)--(34.286,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((45.714,114.286)--(45.714,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((68.571,114.286)--(68.571,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((80,114.286)--(80,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((91.429,114.286)--(91.429,118.286), rgb(0, 0, 0)+linewidth(0.66667));draw((102.86,114.286)--(102.86,118.286), rgb(0, 0, 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), 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p9145
sg15
I2
sass(g1696
g8848
g9131
I2
tp9146
(dp9147
g6
VGraphics[{Rectangle[],Red,Disk[{1,0}]},PlotRange->{{0,1},{0,1}}]
p9148
sg8
(lp9149
(dp9150
g11
(lp9151
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
p9152
sg15
I3
sass(g1696
g8848
g9131
I3
tp9153
(dp9154
g6
VGraphics[Rectangle[]] // ToBoxes // Head
p9155
sg8
(lp9156
(dp9157
g11
(lp9158
sg13
V\u005ctext{GraphicsBox}
p9159
sg15
I4
sass(g1696
g8848
g9131
I4
tp9160
(dp9161
g6
VGraphics[Circle[]] // TeXForm
p9162
sg8
(lp9163
(dp9164
g11
(lp9165
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}
p9166
sg15
I5
sass(g1696
g8848
VGray
p9167
I0
tp9168
(dp9169
g6
VGraphics[{EdgeForm[Black], Gray, Disk[]}, ImageSize->Small]
p9170
sg8
(lp9171
(dp9172
g11
(lp9173
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
p9174
sg15
I1
sass(g1696
g8848
g9167
I1
tp9175
(dp9176
g6
VGray // ToBoxes
p9177
sg8
(lp9178
(dp9179
g11
(lp9180
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]
p9181
sg15
I2
sass(g1696
g8848
g9167
I2
tp9182
(dp9183
g6
VGray
p9184
sg8
(lp9185
(dp9186
g11
(lp9187
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
p9188
sg15
I3
sass(g1696
g8848
VGreen
p9189
I0
tp9190
(dp9191
g6
VGraphics[{EdgeForm[Black], Green, Disk[]}, ImageSize->Small]
p9192
sg8
(lp9193
(dp9194
g11
(lp9195
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
p9196
sg15
I1
sass(g1696
g8848
g9189
I1
tp9197
(dp9198
g6
VGreen // ToBoxes
p9199
sg8
(lp9200
(dp9201
g11
(lp9202
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]
p9203
sg15
I2
sass(g1696
g8848
g9189
I2
tp9204
(dp9205
g6
VGreen
p9206
sg8
(lp9207
(dp9208
g11
(lp9209
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
p9210
sg15
I3
sass(g1696
g8848
VHue
p9211
I0
tp9212
(dp9213
g6
VGraphics[Table[{EdgeForm[Gray], Hue[h, s], Disk[{12h, 8s}]}, {h, 0, 1, 1/6}, {s, 0, 1, 1/4}]]
p9214
sg8
(lp9215
(dp9216
g11
(lp9217
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
p9218
sg15
I1
sass(g1696
g8848
g9211
I1
tp9219
(dp9220
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}]]
p9221
sg8
(lp9222
(dp9223
g11
(lp9224
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, 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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
p9225
sg15
I2
sass(g1696
g8848
VLightRed
p9226
I0
tp9227
(dp9228
g6
VGraphics[{EdgeForm[Black], LightRed, Disk[]}, ImageSize->Small]
p9229
sg8
(lp9230
(dp9231
g11
(lp9232
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
p9233
sg15
I1
sass(g1696
g8848
g9226
I1
tp9234
(dp9235
g6
VLightRed // ToBoxes
p9236
sg8
(lp9237
(dp9238
g11
(lp9239
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]
p9240
sg15
I2
sass(g1696
g8848
VLighter
p9241
I0
tp9242
(dp9243
g6
VLighter[Orange, 1/4]
p9244
sg8
(lp9245
(dp9246
g11
(lp9247
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
p9248
sg15
I1
sass(g1696
g8848
g9241
I1
tp9249
(dp9250
g6
VGraphics[{Lighter[Orange, 1/4], Disk[]}]
p9251
sg8
(lp9252
(dp9253
g11
(lp9254
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
p9255
sg15
I2
sass(g1696
g8848
g9241
I2
tp9256
(dp9257
g6
VGraphics[Table[{Lighter[Orange, x], Disk[{12x, 0}]}, {x, 0, 1, 1/6}]]
p9258
sg8
(lp9259
(dp9260
g11
(lp9261
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
p9262
sg15
I3
sass(g1696
g8848
VLine
p9263
I0
tp9264
(dp9265
g6
VGraphics[Line[{{0,1},{0,0},{1,0},{1,1}}]]
p9266
sg8
(lp9267
(dp9268
g11
(lp9269
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
p9270
sg15
I1
sass(g1696
g8848
g9263
I1
tp9271
(dp9272
g6
VGraphics3D[Line[{{0,0,0},{0,1,1},{1,0,0}}]]
p9273
sg8
(lp9274
(dp9275
g11
(lp9276
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
p9277
sg15
I2
sass(g1696
g8848
VMagenta
p9278
I0
tp9279
(dp9280
g6
VGraphics[{EdgeForm[Black], Magenta, Disk[]}, ImageSize->Small]
p9281
sg8
(lp9282
(dp9283
g11
(lp9284
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
p9285
sg15
I1
sass(g1696
g8848
g9278
I1
tp9286
(dp9287
g6
VMagenta // ToBoxes
p9288
sg8
(lp9289
(dp9290
g11
(lp9291
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]
p9292
sg15
I2
sass(g1696
g8848
g9278
I2
tp9293
(dp9294
g6
VMagenta
p9295
sg8
(lp9296
(dp9297
g11
(lp9298
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
p9299
sg15
I3
sass(g1696
g8848
VOrange
p9300
I0
tp9301
(dp9302
g6
VGraphics[{EdgeForm[Black], Orange, Disk[]}, ImageSize->Small]
p9303
sg8
(lp9304
(dp9305
g11
(lp9306
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
p9307
sg15
I1
sass(g1696
g8848
g9300
I1
tp9308
(dp9309
g6
VOrange // ToBoxes
p9310
sg8
(lp9311
(dp9312
g11
(lp9313
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]
p9314
sg15
I2
sass(g1696
g8848
VPoint
p9315
I0
tp9316
(dp9317
g6
VGraphics[Point[{0,0}]]
p9318
sg8
(lp9319
(dp9320
g11
(lp9321
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
p9322
sg15
I1
sass(g1696
g8848
g9315
I1
tp9323
(dp9324
g6
VGraphics[Point[Table[{Sin[t], Cos[t]}, {t, 0, 2. Pi, Pi / 15.}]]]
p9325
sg8
(lp9326
(dp9327
g11
(lp9328
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
p9329
sg15
I2
sass(g1696
g8848
g9315
I2
tp9330
(dp9331
g6
VGraphics3D[Point[Table[{Sin[t], Cos[t], 0}, {t, 0, 2. Pi, Pi / 15.}]]]
p9332
sg8
(lp9333
(dp9334
g11
(lp9335
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
p9336
sg15
I3
sass(g1696
g8848
VPolygon
p9337
I0
tp9338
(dp9339
g6
VGraphics[Polygon[{{1,0},{0,0},{0,1}}]]
p9340
sg8
(lp9341
(dp9342
g11
(lp9343
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
p9344
sg15
I1
sass(g1696
g8848
g9337
I1
tp9345
(dp9346
g6
VGraphics3D[Polygon[{{0,0,0},{0,1,1},{1,0,0}}]]
p9347
sg8
(lp9348
(dp9349
g11
(lp9350
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
p9351
sg15
I2
sass(g1696
g8848
VPurple
p9352
I0
tp9353
(dp9354
g6
VGraphics[{EdgeForm[Black], Purple, Disk[]}, ImageSize->Small]
p9355
sg8
(lp9356
(dp9357
g11
(lp9358
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
p9359
sg15
I1
sass(g1696
g8848
g9352
I1
tp9360
(dp9361
g6
VPurple // ToBoxes
p9362
sg8
(lp9363
(dp9364
g11
(lp9365
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]
p9366
sg15
I2
sass(g1696
g8848
VRGBColor
p9367
I0
tp9368
(dp9369
g6
VGraphics[MapIndexed[{RGBColor @@ #1, Disk[2*#2 ~Join~ {0}]} &, IdentityMatrix[3]], ImageSize->Small]
p9370
sg8
(lp9371
(dp9372
g11
(lp9373
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
p9374
sg15
I1
sass(g1696
g8848
g9367
I1
tp9375
(dp9376
g6
VRGBColor[0, 1, 0]
p9377
sg8
(lp9378
(dp9379
g11
(lp9380
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
p9381
sg15
I2
sass(g1696
g8848
g9367
I2
tp9382
(dp9383
g6
VRGBColor[0, 1, 0] // ToBoxes
p9384
sg8
(lp9385
(dp9386
g11
(lp9387
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]
p9388
sg15
I3
sass(g1696
g8848
VRectangle
p9389
I0
tp9390
(dp9391
g6
VGraphics[Rectangle[]]
p9392
sg8
(lp9393
(dp9394
g11
(lp9395
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
p9396
sg15
I1
sass(g1696
g8848
g9389
I1
tp9397
(dp9398
g6
VGraphics[{Blue, Rectangle[{0.5, 0}], Orange, Rectangle[{0, 0.5}]}]
p9399
sg8
(lp9400
(dp9401
g11
(lp9402
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
p9403
sg15
I2
sass(g1696
g8848
VRed
p9404
I0
tp9405
(dp9406
g6
VGraphics[{EdgeForm[Black], Red, Disk[]}, ImageSize->Small]
p9407
sg8
(lp9408
(dp9409
g11
(lp9410
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
p9411
sg15
I1
sass(g1696
g8848
g9404
I1
tp9412
(dp9413
g6
VRed // ToBoxes
p9414
sg8
(lp9415
(dp9416
g11
(lp9417
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]
p9418
sg15
I2
sass(g1696
g8848
g9404
I2
tp9419
(dp9420
g6
VRed
p9421
sg8
(lp9422
(dp9423
g11
(lp9424
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
p9425
sg15
I3
sass(g1696
g8848
VRegularPolygon
p9426
I0
tp9427
(dp9428
g6
VGraphics[RegularPolygon[5]]
p9429
sg8
(lp9430
(dp9431
g11
(lp9432
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
p9433
sg15
I1
sass(g1696
g8848
g9426
I1
tp9434
(dp9435
g6
VGraphics[{Yellow, Rectangle[], Orange, RegularPolygon[{1, 1}, {0.25, 0}, 3]}]
p9436
sg8
(lp9437
(dp9438
g11
(lp9439
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
p9440
sg15
I2
sass(g1696
g8848
VText
p9441
I0
tp9442
(dp9443
g6
VGraphics[{Text["First", {0, 0}], Text["Second", {1, 1}]}, Axes->True, PlotRange->{{-2, 2}, {-2, 2}}]
p9444
sg8
(lp9445
(dp9446
g11
(lp9447
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
p9448
sg15
I1
sass(g1696
g8848
VThickness
p9449
I0
tp9450
(dp9451
g6
VGraphics[{Thickness[0.2], Line[{{0, 0}, {0, 5}}]}, Axes->True, PlotRange->{{-5, 5}, {-5, 5}}]
p9452
sg8
(lp9453
(dp9454
g11
(lp9455
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
p9456
sg15
I1
sass(g1696
g8848
VWhite
p9457
I0
tp9458
(dp9459
g6
VGraphics[{EdgeForm[Black], White, Disk[]}, ImageSize->Small]
p9460
sg8
(lp9461
(dp9462
g11
(lp9463
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
p9464
sg15
I1
sass(g1696
g8848
g9457
I1
tp9465
(dp9466
g6
VWhite // ToBoxes
p9467
sg8
(lp9468
(dp9469
g11
(lp9470
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]
p9471
sg15
I2
sass(g1696
g8848
g9457
I2
tp9472
(dp9473
g6
VWhite
p9474
sg8
(lp9475
(dp9476
g11
(lp9477
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
p9478
sg15
I3
sass(g1696
g8848
VYellow
p9479
I0
tp9480
(dp9481
g6
VGraphics[{EdgeForm[Black], Yellow, Disk[]}, ImageSize->Small]
p9482
sg8
(lp9483
(dp9484
g11
(lp9485
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
p9486
sg15
I1
sass(g1696
g8848
g9479
I1
tp9487
(dp9488
g6
VYellow // ToBoxes
p9489
sg8
(lp9490
(dp9491
g11
(lp9492
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]
p9493
sg15
I2
sass(g1696
g8848
g9479
I2
tp9494
(dp9495
g6
VYellow
p9496
sg8
(lp9497
(dp9498
g11
(lp9499
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
p9500
sg15
I3
sass(g1696
VGraphics (3D)
p9501
VCuboid
p9502
I0
tp9503
(dp9504
g6
VGraphics3D[Cuboid[{0, 0, 1}]]
p9505
sg8
(lp9506
(dp9507
g11
(lp9508
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
p9509
sg15
I1
sass(g1696
g9501
g9502
I1
tp9510
(dp9511
g6
VGraphics3D[{Red, Cuboid[{0, 0, 0}, {1, 1, 0.5}], Blue, Cuboid[{0.25, 0.25, 0.5}, {0.75, 0.75, 1}]}]
p9512
sg8
(lp9513
(dp9514
g11
(lp9515
(dp9516
g149
I01
sg150
VGeneral
p9517
sg152
g1264
sg154
VGeneral::notboxes
p9518
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[$OptionSyntax, Ignore], Rule[AspectRatio, Automatic], Rule[Axes, False], Rule[AxesStyle, List[]], Rule[Background, Automatic], Rule[BoxRatios, Automatic], Rule[ImageSize, Automatic], Rule[LabelStyle, List[]], Rule[Lighting, Automatic], Rule[PlotRange, Automatic], Rule[PlotRangePadding, Automatic], Rule[TicksStyle, List[]], Rule[ViewPoint, List[1.3, -2.4, 2.]]] is not a valid box structure.
p9519
sasg13
g1267
sg15
I2
sass(g1696
g9501
VGraphics3D
p9520
I0
tp9521
(dp9522
g6
VGraphics3D[Polygon[{{0,0,0}, {0,1,1}, {1,0,0}}]]
p9523
sg8
(lp9524
(dp9525
g11
(lp9526
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(1.3,-2.4,2.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000apath3 g=(0,0,0)--(0,1,1)--(1,0,0)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000adraw(((0,0,0)--(1,0,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,1,0)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,1)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,0,0)--(0,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,0,0)--(1,0,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0,1,0)--(0,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,0)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p9527
sg15
I1
sass(g1696
g9501
g9520
I1
tp9528
(dp9529
g6
VGraphics3D[Sphere[]] // TeXForm
p9530
sg8
(lp9531
(dp9532
g11
(lp9533
sg13
V\u005ctext{\u005cnewline\u000a$\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$end\u005c{asy\u005c}\u005cnewline\u000a}
p9534
sg15
I2
sass(g1696
g9501
VSphere
p9535
I0
tp9536
(dp9537
g6
VGraphics3D[Sphere[{0, 0, 0}, 1]]
p9538
sg8
(lp9539
(dp9540
g11
(lp9541
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(2.6,-4.8,4.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000adraw(surface(sphere((0, 0, 0), 1)), rgb(1,1,1));\u000adraw(((-1,-1,-1)--(1,-1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,1,-1)--(1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,1)--(1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,-1)--(-1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,-1,-1)--(1,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,1)--(-1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,-1,1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,-1,-1)--(-1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,-1,-1)--(1,-1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-1,1,-1)--(-1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((1,1,-1)--(1,1,1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p9542
sg15
I1
sass(g1696
g9501
g9535
I1
tp9543
(dp9544
g6
VGraphics3D[{Yellow, Sphere[{{-1, 0, 0}, {1, 0, 0}, {0, 0, Sqrt[3.]}}, 1]}]
p9545
sg8
(lp9546
(dp9547
g11
(lp9548
(dp9549
g149
I01
sg150
VGeneral
p9550
sg152
g1264
sg154
VGeneral::notboxes
p9551
sg156
VGraphics3DBox[List[StyleBox[Graphics[List[EdgeForm[GrayLevel[0]], RGBColor[1, 1, 0], Rectangle[List[0, 0]]], Rule[ImageSize, 16]], Rule[ImageSizeMultipliers, List[1, 1]]], Sphere3DBox[List[List[-1, 0, 0], List[1, 0, 0], List[0, 0, 1.7320508075688772]], 1]], Rule[$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.
p9552
sasg13
g1267
sg15
I2
sass(g1696
VImage[] and image related functions.
p9553
VBinarize
p9554
I0
tp9555
(dp9556
g6
Vimg = Import["ExampleData/lena.tif"];
p9557
sg8
(lp9558
(dp9559
g11
(lp9560
sg13
Nsg15
I1
sass(g1696
g9553
g9554
I1
tp9561
(dp9562
g6
VBinarize[img]
p9563
sg8
(lp9564
(dp9565
g11
(lp9566
sg13
V-Image-
p9567
sg15
I2
sass(g1696
g9553
g9554
I2
tp9568
(dp9569
g6
VBinarize[img, 0.7]
p9570
sg8
(lp9571
(dp9572
g11
(lp9573
sg13
g9567
sg15
I3
sass(g1696
g9553
g9554
I3
tp9574
(dp9575
g6
VBinarize[img, {0.2, 0.6}]
p9576
sg8
(lp9577
(dp9578
g11
(lp9579
sg13
g9567
sg15
I4
sass(g1696
g9553
VBinaryImageQ
p9580
I0
tp9581
(dp9582
g6
Vimg = Import["ExampleData/lena.tif"];
p9583
sg8
(lp9584
(dp9585
g11
(lp9586
sg13
Nsg15
I1
sass(g1696
g9553
g9580
I1
tp9587
(dp9588
g6
VBinaryImageQ[img]
p9589
sg8
(lp9590
(dp9591
g11
(lp9592
sg13
V\u005ctext{False}
p9593
sg15
I2
sass(g1696
g9553
g9580
I2
tp9594
(dp9595
g6
VBinaryImageQ[Binarize[img]]
p9596
sg8
(lp9597
(dp9598
g11
(lp9599
sg13
V\u005ctext{True}
p9600
sg15
I3
sass(g1696
g9553
VBlur
p9601
I0
tp9602
(dp9603
g6
Vlena = Import["ExampleData/lena.tif"];
p9604
sg8
(lp9605
(dp9606
g11
(lp9607
sg13
Nsg15
I1
sass(g1696
g9553
g9601
I1
tp9608
(dp9609
g6
VBlur[lena]
p9610
sg8
(lp9611
(dp9612
g11
(lp9613
sg13
g9567
sg15
I2
sass(g1696
g9553
g9601
I2
tp9614
(dp9615
g6
VBlur[lena, 5]
p9616
sg8
(lp9617
(dp9618
g11
(lp9619
sg13
g9567
sg15
I3
sass(g1696
g9553
VBoxMatrix
p9620
I0
tp9621
(dp9622
g6
VBoxMatrix[3]
p9623
sg8
(lp9624
(dp9625
g11
(lp9626
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}
p9627
sg15
I1
sass(g1696
g9553
VClosing
p9628
I0
tp9629
(dp9630
g6
Vein = Import["ExampleData/Einstein.jpg"];
p9631
sg8
(lp9632
(dp9633
g11
(lp9634
sg13
Nsg15
I1
sass(g1696
g9553
g9628
I1
tp9635
(dp9636
g6
VClosing[ein, 2.5]
p9637
sg8
(lp9638
(dp9639
g11
(lp9640
sg13
g9567
sg15
I2
sass(g1696
g9553
VColorCombine
p9641
I0
tp9642
(dp9643
g6
VColorCombine[{{{1, 0}, {0, 0.75}}, {{0, 1}, {0, 0.25}}, {{0, 0}, {1, 0.5}}}, "RGB"]
p9644
sg8
(lp9645
(dp9646
g11
(lp9647
sg13
g9567
sg15
I1
sass(g1696
g9553
VColorQuantize
p9648
I0
tp9649
(dp9650
g6
Vimg = Import["ExampleData/lena.tif"];
p9651
sg8
(lp9652
(dp9653
g11
(lp9654
sg13
Nsg15
I1
sass(g1696
g9553
g9648
I1
tp9655
(dp9656
g6
VColorQuantize[img, 6]
p9657
sg8
(lp9658
(dp9659
g11
(lp9660
sg13
g9567
sg15
I2
sass(g1696
g9553
VColorize
p9661
I0
tp9662
(dp9663
g6
VColorize[{{1.3, 2.1, 1.5}, {1.3, 1.3, 2.1}, {1.3, 2.1, 1.5}}]
p9664
sg8
(lp9665
(dp9666
g11
(lp9667
sg13
g9567
sg15
I1
sass(g1696
g9553
g9661
I1
tp9668
(dp9669
g6
VColorize[{{1, 2}, {2, 2}, {2, 3}}, ColorFunction -> (Blend[{White, Blue}, #]&)]
p9670
sg8
(lp9671
(dp9672
g11
(lp9673
sg13
g9567
sg15
I2
sass(g1696
g9553
VDiamondMatrix
p9674
I0
tp9675
(dp9676
g6
VDiamondMatrix[3]
p9677
sg8
(lp9678
(dp9679
g11
(lp9680
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}
p9681
sg15
I1
sass(g1696
g9553
VDilation
p9682
I0
tp9683
(dp9684
g6
Vein = Import["ExampleData/Einstein.jpg"];
p9685
sg8
(lp9686
(dp9687
g11
(lp9688
sg13
Nsg15
I1
sass(g1696
g9553
g9682
I1
tp9689
(dp9690
g6
VDilation[ein, 2.5]
p9691
sg8
(lp9692
(dp9693
g11
(lp9694
sg13
g9567
sg15
I2
sass(g1696
g9553
VDiskMatrix
p9695
I0
tp9696
(dp9697
g6
VDiskMatrix[3]
p9698
sg8
(lp9699
(dp9700
g11
(lp9701
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}
p9702
sg15
I1
sass(g1696
g9553
VDominantColors
p9703
I0
tp9704
(dp9705
g6
Vimg = Import["ExampleData/lena.tif"]
p9706
sg8
(lp9707
(dp9708
g11
(lp9709
sg13
g9567
sg15
I1
sass(g1696
g9553
g9703
I1
tp9710
(dp9711
g6
VDominantColors[img]
p9712
sg8
(lp9713
(dp9714
g11
(lp9715
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}
p9716
sg15
I2
sass(g1696
g9553
g9703
I2
tp9717
(dp9718
g6
VDominantColors[img, 3]
p9719
sg8
(lp9720
(dp9721
g11
(lp9722
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}
p9723
sg15
I3
sass(g1696
g9553
g9703
I3
tp9724
(dp9725
g6
VDominantColors[img, 3, "Coverage"]
p9726
sg8
(lp9727
(dp9728
g11
(lp9729
sg13
V\u005cleft\u005c{\u005cfrac{28579}{131072},\u005cfrac{751}{4096},\u005cfrac{23841}{131072}\u005cright\u005c}
p9730
sg15
I4
sass(g1696
g9553
g9703
I4
tp9731
(dp9732
g6
VDominantColors[img, 3, "CoverageImage"]
p9733
sg8
(lp9734
(dp9735
g11
(lp9736
sg13
V\u005cleft\u005c{-Image-,-Image-,-Image-\u005cright\u005c}
p9737
sg15
I5
sass(g1696
g9553
g9703
I5
tp9738
(dp9739
g6
VDominantColors[img, 3, "Count"]
p9740
sg8
(lp9741
(dp9742
g11
(lp9743
sg13
V\u005cleft\u005c{57158,48064,47682\u005cright\u005c}
p9744
sg15
I6
sass(g1696
g9553
g9703
I6
tp9745
(dp9746
g6
VDominantColors[img, 2, "LABColor"]
p9747
sg8
(lp9748
(dp9749
g11
(lp9750
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}
p9751
sg15
I7
sass(g1696
g9553
g9703
I7
tp9752
(dp9753
g6
VDominantColors[img, MinColorDistance -> 0.5]
p9754
sg8
(lp9755
(dp9756
g11
(lp9757
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}
p9758
sg15
I8
sass(g1696
g9553
g9703
I8
tp9759
(dp9760
g6
VDominantColors[img, ColorCoverage -> 0.15]
p9761
sg8
(lp9762
(dp9763
g11
(lp9764
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}
p9765
sg15
I9
sass(g1696
g9553
VEdgeDetect
p9766
I0
tp9767
(dp9768
g6
Vlena = Import["ExampleData/lena.tif"];
p9769
sg8
(lp9770
(dp9771
g11
(lp9772
sg13
Nsg15
I1
sass(g1696
g9553
g9766
I1
tp9773
(dp9774
g6
VEdgeDetect[lena]
p9775
sg8
(lp9776
(dp9777
g11
(lp9778
sg13
g9567
sg15
I2
sass(g1696
g9553
g9766
I2
tp9779
(dp9780
g6
VEdgeDetect[lena, 5]
p9781
sg8
(lp9782
(dp9783
g11
(lp9784
sg13
g9567
sg15
I3
sass(g1696
g9553
g9766
I3
tp9785
(dp9786
g6
VEdgeDetect[lena, 4, 0.5]
p9787
sg8
(lp9788
(dp9789
g11
(lp9790
sg13
g9567
sg15
I4
sass(g1696
g9553
VErosion
p9791
I0
tp9792
(dp9793
g6
Vein = Import["ExampleData/Einstein.jpg"];
p9794
sg8
(lp9795
(dp9796
g11
(lp9797
sg13
Nsg15
I1
sass(g1696
g9553
g9791
I1
tp9798
(dp9799
g6
VErosion[ein, 2.5]
p9800
sg8
(lp9801
(dp9802
g11
(lp9803
sg13
g9567
sg15
I2
sass(g1696
g9553
VGaussianFilter
p9804
I0
tp9805
(dp9806
g6
Vlena = Import["ExampleData/lena.tif"];
p9807
sg8
(lp9808
(dp9809
g11
(lp9810
sg13
Nsg15
I1
sass(g1696
g9553
g9804
I1
tp9811
(dp9812
g6
VGaussianFilter[lena, 2.5]
p9813
sg8
(lp9814
(dp9815
g11
(lp9816
sg13
g9567
sg15
I2
sass(g1696
g9553
VImageAdd
p9817
I0
tp9818
(dp9819
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p9820
sg8
(lp9821
(dp9822
g11
(lp9823
sg13
Nsg15
I1
sass(g1696
g9553
g9817
I1
tp9824
(dp9825
g6
VImageAdd[i, 0.5]
p9826
sg8
(lp9827
(dp9828
g11
(lp9829
sg13
g9567
sg15
I2
sass(g1696
g9553
g9817
I2
tp9830
(dp9831
g6
VImageAdd[i, i]
p9832
sg8
(lp9833
(dp9834
g11
(lp9835
sg13
g9567
sg15
I3
sass(g1696
g9553
g9817
I5
tp9836
(dp9837
g6
Vein = Import["ExampleData/Einstein.jpg"];
p9838
sg8
(lp9839
(dp9840
g11
(lp9841
sg13
Nsg15
I4
sass(g1696
g9553
g9817
I6
tp9842
(dp9843
g6
Vnoise = RandomImage[{-0.1, 0.1}, ImageDimensions[ein]];
p9844
sg8
(lp9845
(dp9846
g11
(lp9847
sg13
Nsg15
I5
sass(g1696
g9553
g9817
I7
tp9848
(dp9849
g6
VImageAdd[noise, ein]
p9850
sg8
(lp9851
(dp9852
g11
(lp9853
sg13
g9567
sg15
I6
sass(g1696
g9553
g9817
I8
tp9854
(dp9855
g6
Vlena = Import["ExampleData/lena.tif"];
p9856
sg8
(lp9857
(dp9858
g11
(lp9859
sg13
Nsg15
I7
sass(g1696
g9553
g9817
I9
tp9860
(dp9861
g6
Vnoise = RandomImage[{-0.2, 0.2}, ImageDimensions[lena], ColorSpace -> "RGB"];
p9862
sg8
(lp9863
(dp9864
g11
(lp9865
sg13
Nsg15
I8
sass(g1696
g9553
g9817
I10
tp9866
(dp9867
g6
VImageAdd[noise, lena]
p9868
sg8
(lp9869
(dp9870
g11
(lp9871
sg13
g9567
sg15
I9
sass(g1696
g9553
VImageAdjust
p9872
I0
tp9873
(dp9874
g6
Vlena = Import["ExampleData/lena.tif"];
p9875
sg8
(lp9876
(dp9877
g11
(lp9878
sg13
Nsg15
I1
sass(g1696
g9553
g9872
I1
tp9879
(dp9880
g6
VImageAdjust[lena]
p9881
sg8
(lp9882
(dp9883
g11
(lp9884
sg13
g9567
sg15
I2
sass(g1696
g9553
VImageAspectRatio
p9885
I0
tp9886
(dp9887
g6
Vimg = Import["ExampleData/lena.tif"];
p9888
sg8
(lp9889
(dp9890
g11
(lp9891
sg13
Nsg15
I1
sass(g1696
g9553
g9885
I1
tp9892
(dp9893
g6
VImageAspectRatio[img]
p9894
sg8
(lp9895
(dp9896
g11
(lp9897
sg13
V1
p9898
sg15
I2
sass(g1696
g9553
g9885
I2
tp9899
(dp9900
g6
VImageAspectRatio[Image[{{0, 1}, {1, 0}, {1, 1}}]]
p9901
sg8
(lp9902
(dp9903
g11
(lp9904
sg13
V\u005cfrac{3}{2}
p9905
sg15
I3
sass(g1696
g9553
VImageChannels
p9906
I0
tp9907
(dp9908
g6
VImageChannels[Image[{{0, 1}, {1, 0}}]]
p9909
sg8
(lp9910
(dp9911
g11
(lp9912
sg13
V1
p9913
sg15
I1
sass(g1696
g9553
g9906
I1
tp9914
(dp9915
g6
Vimg = Import["ExampleData/lena.tif"];
p9916
sg8
(lp9917
(dp9918
g11
(lp9919
sg13
Nsg15
I2
sass(g1696
g9553
g9906
I2
tp9920
(dp9921
g6
VImageChannels[img]
p9922
sg8
(lp9923
(dp9924
g11
(lp9925
sg13
V3
p9926
sg15
I3
sass(g1696
g9553
VImageColorSpace
p9927
I0
tp9928
(dp9929
g6
Vimg = Import["ExampleData/lena.tif"];
p9930
sg8
(lp9931
(dp9932
g11
(lp9933
sg13
Nsg15
I1
sass(g1696
g9553
g9927
I1
tp9934
(dp9935
g6
VImageColorSpace[img]
p9936
sg8
(lp9937
(dp9938
g11
(lp9939
sg13
V\u005ctext{RGB}
p9940
sg15
I2
sass(g1696
g9553
VImageConvolve
p9941
I0
tp9942
(dp9943
g6
Vimg = Import["ExampleData/lena.tif"];
p9944
sg8
(lp9945
(dp9946
g11
(lp9947
sg13
Nsg15
I1
sass(g1696
g9553
g9941
I1
tp9948
(dp9949
g6
VImageConvolve[img, DiamondMatrix[5] / 61]
p9950
sg8
(lp9951
(dp9952
g11
(lp9953
sg13
g9567
sg15
I2
sass(g1696
g9553
g9941
I2
tp9954
(dp9955
g6
VImageConvolve[img, DiskMatrix[5] / 97]
p9956
sg8
(lp9957
(dp9958
g11
(lp9959
sg13
g9567
sg15
I3
sass(g1696
g9553
g9941
I3
tp9960
(dp9961
g6
VImageConvolve[img, BoxMatrix[5] / 121]
p9962
sg8
(lp9963
(dp9964
g11
(lp9965
sg13
g9567
sg15
I4
sass(g1696
g9553
VImageData
p9966
I0
tp9967
(dp9968
g6
Vimg = Image[{{0.2, 0.4}, {0.9, 0.6}, {0.5, 0.8}}];
p9969
sg8
(lp9970
(dp9971
g11
(lp9972
sg13
Nsg15
I1
sass(g1696
g9553
g9966
I1
tp9973
(dp9974
g6
VImageData[img]
p9975
sg8
(lp9976
(dp9977
g11
(lp9978
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}
p9979
sg15
I2
sass(g1696
g9553
g9966
I2
tp9980
(dp9981
g6
VImageData[img, "Byte"]
p9982
sg8
(lp9983
(dp9984
g11
(lp9985
sg13
V\u005cleft\u005c{\u005cleft\u005c{51,102\u005cright\u005c},\u005cleft\u005c{229,153\u005cright\u005c},\u005cleft\u005c{127,204\u005cright\u005c}\u005cright\u005c}
p9986
sg15
I3
sass(g1696
g9553
g9966
I3
tp9987
(dp9988
g6
VImageData[Image[{{0, 1}, {1, 0}, {1, 1}}], "Bit"]
p9989
sg8
(lp9990
(dp9991
g11
(lp9992
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,1\u005cright\u005c},\u005cleft\u005c{1,0\u005cright\u005c},\u005cleft\u005c{1,1\u005cright\u005c}\u005cright\u005c}
p9993
sg15
I4
sass(g1696
g9553
VImageDimensions
p9994
I0
tp9995
(dp9996
g6
Vlena = Import["ExampleData/lena.tif"];
p9997
sg8
(lp9998
(dp9999
g11
(lp10000
sg13
Nsg15
I1
sass(g1696
g9553
g9994
I1
tp10001
(dp10002
g6
VImageDimensions[lena]
p10003
sg8
(lp10004
(dp10005
g11
(lp10006
sg13
V\u005cleft\u005c{512,512\u005cright\u005c}
p10007
sg15
I2
sass(g1696
g9553
g9994
I2
tp10008
(dp10009
g6
VImageDimensions[RandomImage[1, {50, 70}]]
p10010
sg8
(lp10011
(dp10012
g11
(lp10013
sg13
V\u005cleft\u005c{50,70\u005cright\u005c}
p10014
sg15
I3
sass(g1696
g9553
VImageImport
p10015
I0
tp10016
(dp10017
g6
VImport["ExampleData/Einstein.jpg"]
p10018
sg8
(lp10019
(dp10020
g11
(lp10021
sg13
g9567
sg15
I1
sass(g1696
g9553
g10015
I2
tp10022
(dp10023
g6
VImport["ExampleData/MadTeaParty.gif"]
p10024
sg8
(lp10025
(dp10026
g11
(lp10027
sg13
g9567
sg15
I2
sass(g1696
g9553
g10015
I3
tp10028
(dp10029
g6
VImport["ExampleData/moon.tif"]
p10030
sg8
(lp10031
(dp10032
g11
(lp10033
sg13
g9567
sg15
I3
sass(g1696
g9553
VImageMultiply
p10034
I0
tp10035
(dp10036
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p10037
sg8
(lp10038
(dp10039
g11
(lp10040
sg13
Nsg15
I1
sass(g1696
g9553
g10034
I1
tp10041
(dp10042
g6
VImageMultiply[i, 0.2]
p10043
sg8
(lp10044
(dp10045
g11
(lp10046
sg13
g9567
sg15
I2
sass(g1696
g9553
g10034
I2
tp10047
(dp10048
g6
VImageMultiply[i, i]
p10049
sg8
(lp10050
(dp10051
g11
(lp10052
sg13
g9567
sg15
I3
sass(g1696
g9553
g10034
I5
tp10053
(dp10054
g6
Vein = Import["ExampleData/Einstein.jpg"];
p10055
sg8
(lp10056
(dp10057
g11
(lp10058
sg13
Nsg15
I4
sass(g1696
g9553
g10034
I6
tp10059
(dp10060
g6
Vnoise = RandomImage[{0.7, 1.3}, ImageDimensions[ein]];
p10061
sg8
(lp10062
(dp10063
g11
(lp10064
sg13
Nsg15
I5
sass(g1696
g9553
g10034
I7
tp10065
(dp10066
g6
VImageMultiply[noise, ein]
p10067
sg8
(lp10068
(dp10069
g11
(lp10070
sg13
g9567
sg15
I6
sass(g1696
g9553
VImagePartition
p10071
I0
tp10072
(dp10073
g6
Vlena = Import["ExampleData/lena.tif"];
p10074
sg8
(lp10075
(dp10076
g11
(lp10077
sg13
Nsg15
I1
sass(g1696
g9553
g10071
I1
tp10078
(dp10079
g6
VImageDimensions[lena]
p10080
sg8
(lp10081
(dp10082
g11
(lp10083
sg13
V\u005cleft\u005c{512,512\u005cright\u005c}
p10084
sg15
I2
sass(g1696
g9553
g10071
I2
tp10085
(dp10086
g6
VImagePartition[lena, 256]
p10087
sg8
(lp10088
(dp10089
g11
(lp10090
sg13
V\u005cleft\u005c{\u005cleft\u005c{-Image-,-Image-\u005cright\u005c},\u005cleft\u005c{-Image-,-Image-\u005cright\u005c}\u005cright\u005c}
p10091
sg15
I3
sass(g1696
g9553
g10071
I3
tp10092
(dp10093
g6
VImagePartition[lena, {512, 128}]
p10094
sg8
(lp10095
(dp10096
g11
(lp10097
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}
p10098
sg15
I4
sass(g1696
g9553
VImageQ
p10099
I0
tp10100
(dp10101
g6
VImageQ[Image[{{0, 1}, {1, 0}}]]
p10102
sg8
(lp10103
(dp10104
g11
(lp10105
sg13
V\u005ctext{True}
p10106
sg15
I1
sass(g1696
g9553
g10099
I1
tp10107
(dp10108
g6
VImageQ[Image[{{{0, 0, 0}, {0, 1, 0}}, {{0, 1, 0}, {0, 1, 1}}}]]
p10109
sg8
(lp10110
(dp10111
g11
(lp10112
sg13
V\u005ctext{True}
p10113
sg15
I2
sass(g1696
g9553
g10099
I2
tp10114
(dp10115
g6
VImageQ[Image[{{{0, 0, 0}, {0, 1}}, {{0, 1, 0}, {0, 1, 1}}}]]
p10116
sg8
(lp10117
(dp10118
g11
(lp10119
sg13
V\u005ctext{False}
p10120
sg15
I3
sass(g1696
g9553
g10099
I3
tp10121
(dp10122
g6
VImageQ[Image[{1, 0, 1}]]
p10123
sg8
(lp10124
(dp10125
g11
(lp10126
sg13
V\u005ctext{False}
p10127
sg15
I4
sass(g1696
g9553
g10099
I4
tp10128
(dp10129
g6
VImageQ["abc"]
p10130
sg8
(lp10131
(dp10132
g11
(lp10133
sg13
V\u005ctext{False}
p10134
sg15
I5
sass(g1696
g9553
VImageReflect
p10135
I0
tp10136
(dp10137
g6
Vein = Import["ExampleData/Einstein.jpg"];
p10138
sg8
(lp10139
(dp10140
g11
(lp10141
sg13
Nsg15
I1
sass(g1696
g9553
g10135
I1
tp10142
(dp10143
g6
VImageReflect[ein]
p10144
sg8
(lp10145
(dp10146
g11
(lp10147
sg13
g9567
sg15
I2
sass(g1696
g9553
g10135
I2
tp10148
(dp10149
g6
VImageReflect[ein, Left]
p10150
sg8
(lp10151
(dp10152
g11
(lp10153
sg13
g9567
sg15
I3
sass(g1696
g9553
g10135
I3
tp10154
(dp10155
g6
VImageReflect[ein, Left -> Top]
p10156
sg8
(lp10157
(dp10158
g11
(lp10159
sg13
g9567
sg15
I4
sass(g1696
g9553
VImageResize
p10160
I0
tp10161
(dp10162
g6
Vein = Import["ExampleData/Einstein.jpg"];
p10163
sg8
(lp10164
(dp10165
g11
(lp10166
sg13
Nsg15
I1
sass(g1696
g9553
g10160
I1
tp10167
(dp10168
g6
VImageDimensions[ein]
p10169
sg8
(lp10170
(dp10171
g11
(lp10172
sg13
V\u005cleft\u005c{615,768\u005cright\u005c}
p10173
sg15
I2
sass(g1696
g9553
g10160
I2
tp10174
(dp10175
g6
VImageResize[ein, {400, 600}]
p10176
sg8
(lp10177
(dp10178
g11
(lp10179
sg13
g9567
sg15
I3
sass(g1696
g9553
g10160
I4
tp10180
(dp10181
g6
VImageResize[ein, 256]
p10182
sg8
(lp10183
(dp10184
g11
(lp10185
sg13
g9567
sg15
I4
sass(g1696
g9553
g10160
I5
tp10186
(dp10187
g6
VImageDimensions[%]
p10188
sg8
(lp10189
(dp10190
g11
(lp10191
sg13
V\u005cleft\u005c{256,320\u005cright\u005c}
p10192
sg15
I5
sass(g1696
g9553
g10160
I6
tp10193
(dp10194
g6
VImageResize[ein, 256, Resampling -> "Bicubic"]
p10195
sg8
(lp10196
(dp10197
g11
(lp10198
sg13
g9567
sg15
I6
sass(g1696
g9553
g10160
I8
tp10199
(dp10200
g6
VImageResize[ein, 256, Resampling -> "Nearest"]
p10201
sg8
(lp10202
(dp10203
g11
(lp10204
sg13
g9567
sg15
I7
sass(g1696
g9553
g10160
I10
tp10205
(dp10206
g6
VImageResize[ein, 256, Resampling -> "Gaussian"]
p10207
sg8
(lp10208
(dp10209
g11
(lp10210
sg13
g9567
sg15
I8
sass(g1696
g9553
VImageRotate
p10211
I0
tp10212
(dp10213
g6
Vein = Import["ExampleData/Einstein.jpg"];
p10214
sg8
(lp10215
(dp10216
g11
(lp10217
sg13
Nsg15
I1
sass(g1696
g9553
g10211
I1
tp10218
(dp10219
g6
VImageRotate[ein]
p10220
sg8
(lp10221
(dp10222
g11
(lp10223
sg13
g9567
sg15
I2
sass(g1696
g9553
g10211
I2
tp10224
(dp10225
g6
VImageRotate[ein, 45 Degree]
p10226
sg8
(lp10227
(dp10228
g11
(lp10229
sg13
g9567
sg15
I3
sass(g1696
g9553
g10211
I3
tp10230
(dp10231
g6
VImageRotate[ein, Pi / 2]
p10232
sg8
(lp10233
(dp10234
g11
(lp10235
sg13
g9567
sg15
I4
sass(g1696
g9553
VImageSubtract
p10236
I0
tp10237
(dp10238
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p10239
sg8
(lp10240
(dp10241
g11
(lp10242
sg13
Nsg15
I1
sass(g1696
g9553
g10236
I1
tp10243
(dp10244
g6
VImageSubtract[i, 0.2]
p10245
sg8
(lp10246
(dp10247
g11
(lp10248
sg13
g9567
sg15
I2
sass(g1696
g9553
g10236
I2
tp10249
(dp10250
g6
VImageSubtract[i, i]
p10251
sg8
(lp10252
(dp10253
g11
(lp10254
sg13
g9567
sg15
I3
sass(g1696
g9553
VImageType
p10255
I0
tp10256
(dp10257
g6
Vimg = Import["ExampleData/lena.tif"];
p10258
sg8
(lp10259
(dp10260
g11
(lp10261
sg13
Nsg15
I1
sass(g1696
g9553
g10255
I1
tp10262
(dp10263
g6
VImageType[img]
p10264
sg8
(lp10265
(dp10266
g11
(lp10267
sg13
V\u005ctext{Byte}
p10268
sg15
I2
sass(g1696
g9553
g10255
I2
tp10269
(dp10270
g6
VImageType[Image[{{0, 1}, {1, 0}}]]
p10271
sg8
(lp10272
(dp10273
g11
(lp10274
sg13
V\u005ctext{Real}
p10275
sg15
I3
sass(g1696
g9553
g10255
I3
tp10276
(dp10277
g6
VImageType[Binarize[img]]
p10278
sg8
(lp10279
(dp10280
g11
(lp10281
sg13
V\u005ctext{Bit}
p10282
sg15
I4
sass(g1696
g9553
VMaxFilter
p10283
I0
tp10284
(dp10285
g6
Vlena = Import["ExampleData/lena.tif"];
p10286
sg8
(lp10287
(dp10288
g11
(lp10289
sg13
Nsg15
I1
sass(g1696
g9553
g10283
I1
tp10290
(dp10291
g6
VMaxFilter[lena, 5]
p10292
sg8
(lp10293
(dp10294
g11
(lp10295
sg13
g9567
sg15
I2
sass(g1696
g9553
VMedianFilter
p10296
I0
tp10297
(dp10298
g6
Vlena = Import["ExampleData/lena.tif"];
p10299
sg8
(lp10300
(dp10301
g11
(lp10302
sg13
Nsg15
I1
sass(g1696
g9553
g10296
I1
tp10303
(dp10304
g6
VMedianFilter[lena, 5]
p10305
sg8
(lp10306
(dp10307
g11
(lp10308
sg13
g9567
sg15
I2
sass(g1696
g9553
VMinFilter
p10309
I0
tp10310
(dp10311
g6
Vlena = Import["ExampleData/lena.tif"];
p10312
sg8
(lp10313
(dp10314
g11
(lp10315
sg13
Nsg15
I1
sass(g1696
g9553
g10309
I1
tp10316
(dp10317
g6
VMinFilter[lena, 5]
p10318
sg8
(lp10319
(dp10320
g11
(lp10321
sg13
g9567
sg15
I2
sass(g1696
g9553
VOpening
p10322
I0
tp10323
(dp10324
g6
Vein = Import["ExampleData/Einstein.jpg"];
p10325
sg8
(lp10326
(dp10327
g11
(lp10328
sg13
Nsg15
I1
sass(g1696
g9553
g10322
I1
tp10329
(dp10330
g6
VOpening[ein, 2.5]
p10331
sg8
(lp10332
(dp10333
g11
(lp10334
sg13
g9567
sg15
I2
sass(g1696
g9553
VPixelValue
p10335
I0
tp10336
(dp10337
g6
Vlena = Import["ExampleData/lena.tif"];
p10338
sg8
(lp10339
(dp10340
g11
(lp10341
sg13
Nsg15
I1
sass(g1696
g9553
g10335
I1
tp10342
(dp10343
g6
VPixelValue[lena, {1, 1}]
p10344
sg8
(lp10345
(dp10346
g11
(lp10347
sg13
V\u005cleft\u005c{0.321569,0.0862745,0.223529\u005cright\u005c}
p10348
sg15
I2
sass(g1696
g9553
VPixelValuePositions
p10349
I0
tp10350
(dp10351
g6
VPixelValuePositions[Image[{{0, 1}, {1, 0}, {1, 1}}], 1]
p10352
sg8
(lp10353
(dp10354
g11
(lp10355
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}
p10356
sg15
I1
sass(g1696
g9553
g10349
I1
tp10357
(dp10358
g6
VPixelValuePositions[Image[{{0.2, 0.4}, {0.9, 0.6}, {0.3, 0.8}}], 0.5, 0.15]
p10359
sg8
(lp10360
(dp10361
g11
(lp10362
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,2\u005cright\u005c},\u005cleft\u005c{2,3\u005cright\u005c}\u005cright\u005c}
p10363
sg15
I2
sass(g1696
g9553
g10349
I2
tp10364
(dp10365
g6
Vimg = Import["ExampleData/lena.tif"];
p10366
sg8
(lp10367
(dp10368
g11
(lp10369
sg13
Nsg15
I3
sass(g1696
g9553
g10349
I3
tp10370
(dp10371
g6
VPixelValuePositions[img, 3 / 255, 0.5 / 255]
p10372
sg8
(lp10373
(dp10374
g11
(lp10375
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}
p10376
sg15
I4
sass(g1696
g9553
g10349
I4
tp10377
(dp10378
g6
VPixelValue[img, {180, 192}]
p10379
sg8
(lp10380
(dp10381
g11
(lp10382
sg13
V\u005cleft\u005c{0.25098,0.0117647,0.215686\u005cright\u005c}
p10383
sg15
I5
sass(g1696
g9553
VRandomImage
p10384
I0
tp10385
(dp10386
g6
VRandomImage[1, {100, 100}]
p10387
sg8
(lp10388
(dp10389
g11
(lp10390
sg13
g9567
sg15
I1
sass(g1696
g9553
VSharpen
p10391
I0
tp10392
(dp10393
g6
Vlena = Import["ExampleData/lena.tif"];
p10394
sg8
(lp10395
(dp10396
g11
(lp10397
sg13
Nsg15
I1
sass(g1696
g9553
g10391
I1
tp10398
(dp10399
g6
VSharpen[lena]
p10400
sg8
(lp10401
(dp10402
g11
(lp10403
sg13
g9567
sg15
I2
sass(g1696
g9553
g10391
I2
tp10404
(dp10405
g6
VSharpen[lena, 5]
p10406
sg8
(lp10407
(dp10408
g11
(lp10409
sg13
g9567
sg15
I3
sass(g1696
g9553
VThreshold
p10410
I0
tp10411
(dp10412
g6
Vimg = Import["ExampleData/lena.tif"];
p10413
sg8
(lp10414
(dp10415
g11
(lp10416
sg13
Nsg15
I1
sass(g1696
g9553
g10410
I1
tp10417
(dp10418
g6
VThreshold[img]
p10419
sg8
(lp10420
(dp10421
g11
(lp10422
sg13
V0.456739
p10423
sg15
I2
sass(g1696
g9553
g10410
I2
tp10424
(dp10425
g6
VBinarize[img, %]
p10426
sg8
(lp10427
(dp10428
g11
(lp10429
sg13
g9567
sg15
I3
sass(g1696
g9553
g10410
I3
tp10430
(dp10431
g6
VThreshold[img, Method -> "Mean"]
p10432
sg8
(lp10433
(dp10434
g11
(lp10435
sg13
V0.486458
p10436
sg15
I4
sass(g1696
g9553
g10410
I4
tp10437
(dp10438
g6
VThreshold[img, Method -> "Median"]
p10439
sg8
(lp10440
(dp10441
g11
(lp10442
sg13
V0.504726
p10443
sg15
I5
sass(g1696
g9553
VWordCloud
p10444
I0
tp10445
(dp10446
g6
VWordCloud[StringSplit[Import["ExampleData/EinsteinSzilLetter.txt"]]]
p10447
sg8
(lp10448
(dp10449
g11
(lp10450
sg13
g9567
sg15
I1
sass(g1696
g9553
g10444
I1
tp10451
(dp10452
g6
VWordCloud[Range[50] -> ToString /@ Range[50]]
p10453
sg8
(lp10454
(dp10455
g11
(lp10456
sg13
g9567
sg15
I2
sass(g1696
VInput and Output
p10457
VBaseForm
p10458
I0
tp10459
(dp10460
g6
VBaseForm[33, 2]
p10461
sg8
(lp10462
(dp10463
g11
(lp10464
sg13
V100001_2
p10465
sg15
I1
sass(g1696
g10457
g10458
I1
tp10466
(dp10467
g6
VBaseForm[234, 16]
p10468
sg8
(lp10469
(dp10470
g11
(lp10471
sg13
V\u005ctext{ea}_{16}
p10472
sg15
I2
sass(g1696
g10457
g10458
I2
tp10473
(dp10474
g6
VBaseForm[12.3, 2]
p10475
sg8
(lp10476
(dp10477
g11
(lp10478
sg13
V1100.01001100110011001_2
p10479
sg15
I3
sass(g1696
g10457
g10458
I3
tp10480
(dp10481
g6
VBaseForm[-42, 16]
p10482
sg8
(lp10483
(dp10484
g11
(lp10485
sg13
V-2a_{16}
p10486
sg15
I4
sass(g1696
g10457
g10458
I4
tp10487
(dp10488
g6
VBaseForm[x, 2]
p10489
sg8
(lp10490
(dp10491
g11
(lp10492
sg13
g195
sg15
I5
sass(g1696
g10457
g10458
I5
tp10493
(dp10494
g6
VBaseForm[12, 3] // FullForm
p10495
sg8
(lp10496
(dp10497
g11
(lp10498
sg13
V\u005ctext{BaseForm}\u005cleft[12, 3\u005cright]
p10499
sg15
I6
sass(g1696
g10457
g10458
I6
tp10500
(dp10501
g6
VBaseForm[12, -3]
p10502
sg8
(lp10503
(dp10504
g11
(lp10505
(dp10506
g149
I01
sg150
VBaseForm
p10507
sg152
Vintpm
p10508
sg154
VBaseForm::intpm
p10509
sg156
VPositive machine-sized integer expected at position 2 in BaseForm[12, -3].
p10510
sa(dp10511
g149
I01
sg150
VGeneral
p10512
sg152
g1264
sg154
VGeneral::notboxes
p10513
sg156
VMakeBoxes[BaseForm[12, -3], StandardForm] is not a valid box structure.
p10514
sasg13
g1267
sg15
I7
sass(g1696
g10457
g10458
I7
tp10515
(dp10516
g6
VBaseForm[12, 100]
p10517
sg8
(lp10518
(dp10519
g11
(lp10520
(dp10521
g149
I01
sg150
VBaseForm
p10522
sg152
Vbasf
p10523
sg154
VBaseForm::basf
p10524
sg156
VRequested base 100 must be between 2 and 36.
p10525
sa(dp10526
g149
I01
sg150
VGeneral
p10527
sg152
g1264
sg154
VGeneral::notboxes
p10528
sg156
VMakeBoxes[BaseForm[12, 100], StandardForm] is not a valid box structure.
p10529
sasg13
g1267
sg15
I8
sass(g1696
g10457
VCheck
p10530
I0
tp10531
(dp10532
g6
VCheck[1/0, err]
p10533
sg8
(lp10534
(dp10535
g11
(lp10536
(dp10537
g149
I01
sg150
VPower
p10538
sg152
g153
sg154
VPower::infy
p10539
sg156
VInfinite expression 1 / 0 encountered.
p10540
sasg13
V\u005ctext{err}
p10541
sg15
I1
sass(g1696
g10457
g10530
I2
tp10542
(dp10543
g6
VCheck[Sin[0^0], err, Sin::argx]
p10544
sg8
(lp10545
(dp10546
g11
(lp10547
(dp10548
g149
I01
sg150
VPower
p10549
sg152
g174
sg154
VPower::indet
p10550
sg156
VIndeterminate expression 0 ^ 0 encountered.
p10551
sasg13
V\u005ctext{Indeterminate}
p10552
sg15
I2
sass(g1696
g10457
g10530
I3
tp10553
(dp10554
g6
VCheck[1/0, err, Power::infy]
p10555
sg8
(lp10556
(dp10557
g11
(lp10558
(dp10559
g149
I01
sg150
VPower
p10560
sg152
g153
sg154
VPower::infy
p10561
sg156
VInfinite expression 1 / 0 encountered.
p10562
sasg13
V\u005ctext{err}
p10563
sg15
I3
sass(g1696
g10457
VFormat
p10564
I0
tp10565
(dp10566
g6
VFormat[f[x___]] := Infix[{x}, "~"]
p10567
sg8
(lp10568
(dp10569
g11
(lp10570
sg13
Nsg15
I1
sass(g1696
g10457
g10564
I1
tp10571
(dp10572
g6
Vf[1, 2, 3]
p10573
sg8
(lp10574
(dp10575
g11
(lp10576
sg13
V1\u005csim{}2\u005csim{}3
p10577
sg15
I2
sass(g1696
g10457
g10564
I2
tp10578
(dp10579
g6
Vf[1]
p10580
sg8
(lp10581
(dp10582
g11
(lp10583
sg13
V1
p10584
sg15
I3
sass(g1696
g10457
g10564
I3
tp10585
(dp10586
g6
VFormat[3] = "three";
p10587
sg8
(lp10588
(dp10589
g11
(lp10590
(dp10591
g149
I01
sg150
VSet
p10592
sg152
Vsetraw
p10593
sg154
VSet::setraw
p10594
sg156
VCannot assign to raw object 3.
p10595
sasg13
Nsg15
I4
sass(g1696
g10457
g10564
I4
tp10596
(dp10597
g6
VFormat[r, a + b] = "r";
p10598
sg8
(lp10599
(dp10600
g11
(lp10601
(dp10602
g149
I01
sg150
VFormat
p10603
sg152
Vfttp
p10604
sg154
VFormat::fttp
p10605
sg156
VFormat type a + b is not a symbol.
p10606
sasg13
Nsg15
I5
sass(g1696
g10457
g10564
I5
tp10607
(dp10608
g6
Vf /: Format[g[f]] = "my f";
p10609
sg8
(lp10610
(dp10611
g11
(lp10612
(dp10613
g149
I01
sg150
VTagSet
p10614
sg152
g4590
sg154
VTagSet::tagnfd
p10615
sg156
VTag f not found or too deep for an assigned rule.
p10616
sasg13
Nsg15
I6
sass(g1696
g10457
VFullForm
p10617
I0
tp10618
(dp10619
g6
VFullForm[a + b * c]
p10620
sg8
(lp10621
(dp10622
g11
(lp10623
sg13
V\u005ctext{Plus}\u005cleft[a, \u005ctext{Times}\u005cleft[b, c\u005cright]\u005cright]
p10624
sg15
I1
sass(g1696
g10457
g10617
I1
tp10625
(dp10626
g6
VFullForm[2/3]
p10627
sg8
(lp10628
(dp10629
g11
(lp10630
sg13
V\u005ctext{Rational}\u005cleft[2, 3\u005cright]
p10631
sg15
I2
sass(g1696
g10457
g10617
I2
tp10632
(dp10633
g6
VFullForm["A string"]
p10634
sg8
(lp10635
(dp10636
g11
(lp10637
sg13
V\u005ctext{"A string"}
p10638
sg15
I3
sass(g1696
g10457
VGeneral
p10639
I0
tp10640
(dp10641
g6
VGeneral::argr
p10642
sg8
(lp10643
(dp10644
g11
(lp10645
sg13
V\u005ctext{`1` called with 1 argument; `2` arguments are expected.}
p10646
sg15
I1
sass(g1696
g10457
g10639
I1
tp10647
(dp10648
g6
VMessage[Rule::argr, Rule, 2]
p10649
sg8
(lp10650
(dp10651
g11
(lp10652
(dp10653
g149
I01
sg150
VRule
p10654
sg152
Vargr
p10655
sg154
VRule::argr
p10656
sg156
VRule called with 1 argument; 2 arguments are expected.
p10657
sasg13
Nsg15
I2
sass(g1696
g10457
VGrid
p10658
I0
tp10659
(dp10660
g6
VGrid[{{a, b}, {c, d}}]
p10661
sg8
(lp10662
(dp10663
g11
(lp10664
sg13
V\u005cbegin{array}{cc} a & b\u005c\u005c c & d\u005cend{array}
p10665
sg15
I1
sass(g1696
g10457
VInfix
p10666
I0
tp10667
(dp10668
g6
VFormat[g[x_, y_]] := Infix[{x, y}, "#", 350, Left]
p10669
sg8
(lp10670
(dp10671
g11
(lp10672
sg13
Nsg15
I1
sass(g1696
g10457
g10666
I1
tp10673
(dp10674
g6
Vg[a, g[b, c]]
p10675
sg8
(lp10676
(dp10677
g11
(lp10678
sg13
Va\u005c#\u005cleft(b\u005c#c\u005cright)
p10679
sg15
I2
sass(g1696
g10457
g10666
I2
tp10680
(dp10681
g6
Vg[g[a, b], c]
p10682
sg8
(lp10683
(dp10684
g11
(lp10685
sg13
Va\u005c#b\u005c#c
p10686
sg15
I3
sass(g1696
g10457
g10666
I3
tp10687
(dp10688
g6
Vg[a + b, c]
p10689
sg8
(lp10690
(dp10691
g11
(lp10692
sg13
V\u005cleft(a+b\u005cright)\u005c#c
p10693
sg15
I4
sass(g1696
g10457
g10666
I4
tp10694
(dp10695
g6
Vg[a * b, c]
p10696
sg8
(lp10697
(dp10698
g11
(lp10699
sg13
Va b\u005c#c
p10700
sg15
I5
sass(g1696
g10457
g10666
I5
tp10701
(dp10702
g6
Vg[a, b] + c
p10703
sg8
(lp10704
(dp10705
g11
(lp10706
sg13
Vc+a\u005c#b
p10707
sg15
I6
sass(g1696
g10457
g10666
I6
tp10708
(dp10709
g6
Vg[a, b] * c
p10710
sg8
(lp10711
(dp10712
g11
(lp10713
sg13
Vc \u005cleft(a\u005c#b\u005cright)
p10714
sg15
I7
sass(g1696
g10457
g10666
I7
tp10715
(dp10716
g6
VInfix[{a, b, c}, {"+", "-"}]
p10717
sg8
(lp10718
(dp10719
g11
(lp10720
sg13
Va+b-c
p10721
sg15
I8
sass(g1696
g10457
VInputForm
p10722
I0
tp10723
(dp10724
g6
VInputForm[a + b * c]
p10725
sg8
(lp10726
(dp10727
g11
(lp10728
sg13
Va\u005ctext{ + }b*c
p10729
sg15
I1
sass(g1696
g10457
g10722
I1
tp10730
(dp10731
g6
VInputForm["A string"]
p10732
sg8
(lp10733
(dp10734
g11
(lp10735
sg13
V\u005ctext{"A string"}
p10736
sg15
I2
sass(g1696
g10457
g10722
I2
tp10737
(dp10738
g6
VInputForm[f'[x]]
p10739
sg8
(lp10740
(dp10741
g11
(lp10742
sg13
V\u005ctext{Derivative}\u005cleft[1\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p10743
sg15
I3
sass(g1696
g10457
g10722
I3
tp10744
(dp10745
g6
VInputForm[Derivative[1, 0][f][x]]
p10746
sg8
(lp10747
(dp10748
g11
(lp10749
sg13
V\u005ctext{Derivative}\u005cleft[1, 0\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p10750
sg15
I4
sass(g1696
g10457
VMakeBoxes
p10751
I0
tp10752
(dp10753
g6
V\u005c(x \u005c^ 2\u005c)
p10754
sg8
(lp10755
(dp10756
g11
(lp10757
sg13
V\u005ctext{SuperscriptBox}\u005cleft[\u005ctext{x},\u005ctext{2}\u005cright]
p10758
sg15
I1
sass(g1696
g10457
g10751
I1
tp10759
(dp10760
g6
V\u005c(x \u005c_ 2\u005c)
p10761
sg8
(lp10762
(dp10763
g11
(lp10764
sg13
V\u005ctext{SubscriptBox}\u005cleft[\u005ctext{x},\u005ctext{2}\u005cright]
p10765
sg15
I2
sass(g1696
g10457
g10751
I2
tp10766
(dp10767
g6
V\u005c( a \u005c+ b \u005c% c\u005c)
p10768
sg8
(lp10769
(dp10770
g11
(lp10771
sg13
V\u005ctext{UnderoverscriptBox}\u005cleft[\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright]
p10772
sg15
I3
sass(g1696
g10457
g10751
I3
tp10773
(dp10774
g6
V\u005c( a \u005c& b \u005c% c\u005c)
p10775
sg8
(lp10776
(dp10777
g11
(lp10778
sg13
V\u005ctext{UnderoverscriptBox}\u005cleft[\u005ctext{a},\u005ctext{c},\u005ctext{b}\u005cright]
p10779
sg15
I4
sass(g1696
g10457
g10751
I5
tp10780
(dp10781
g6
V\u005c(x \u005c& y \u005c)
p10782
sg8
(lp10783
(dp10784
g11
(lp10785
sg13
V\u005ctext{OverscriptBox}\u005cleft[\u005ctext{x},\u005ctext{y}\u005cright]
p10786
sg15
I5
sass(g1696
g10457
g10751
I6
tp10787
(dp10788
g6
V\u005c(x \u005c+ y \u005c)
p10789
sg8
(lp10790
(dp10791
g11
(lp10792
sg13
V\u005ctext{UnderscriptBox}\u005cleft[\u005ctext{x},\u005ctext{y}\u005cright]
p10793
sg15
I6
sass(g1696
g10457
VMathMLForm
p10794
I0
tp10795
(dp10796
g6
VMathMLForm[HoldForm[Sqrt[a^3]]]
p10797
sg8
(lp10798
(dp10799
g11
(lp10800
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><msqrt><msup><mi>a</mi> <mn>3</mn></msup></msqrt></mstyle></math>}
p10801
sg15
I1
sass(g1696
g10457
g10794
I1
tp10802
(dp10803
g6
VMathMLForm[\u005c[Mu]]
p10804
sg8
(lp10805
(dp10806
g11
(lp10807
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mi>\u03bc</mi></mstyle></math>}
p10808
sg15
I2
sass(g1696
g10457
VMatrixForm
p10809
I0
tp10810
(dp10811
g6
VArray[a,{4,3}]//MatrixForm
p10812
sg8
(lp10813
(dp10814
g11
(lp10815
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)
p10816
sg15
I1
sass(g1696
g10457
VMessage
p10817
I0
tp10818
(dp10819
g6
Va::b = "Hello world!"
p10820
sg8
(lp10821
(dp10822
g11
(lp10823
sg13
V\u005ctext{Hello world!}
p10824
sg15
I1
sass(g1696
g10457
g10817
I1
tp10825
(dp10826
g6
VMessage[a::b]
p10827
sg8
(lp10828
(dp10829
g11
(lp10830
(dp10831
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p10832
sg156
VHello world!
p10833
sasg13
Nsg15
I2
sass(g1696
g10457
g10817
I2
tp10834
(dp10835
g6
Va::c := "Hello `1`, Mr 00`2`!"
p10836
sg8
(lp10837
(dp10838
g11
(lp10839
sg13
Nsg15
I3
sass(g1696
g10457
g10817
I3
tp10840
(dp10841
g6
VMessage[a::c, "you", 3 + 4]
p10842
sg8
(lp10843
(dp10844
g11
(lp10845
(dp10846
g149
I01
sg150
g542
sg152
g444
sg154
Va::c
p10847
sg156
VHello you, Mr 007!
p10848
sasg13
Nsg15
I4
sass(g1696
g10457
VMessageName
p10849
I0
tp10850
(dp10851
g6
VFullForm[a::b]
p10852
sg8
(lp10853
(dp10854
g11
(lp10855
sg13
V\u005ctext{MessageName}\u005cleft[a, \u005ctext{"b"}\u005cright]
p10856
sg15
I1
sass(g1696
g10457
g10849
I1
tp10857
(dp10858
g6
VFullForm[a::"b"]
p10859
sg8
(lp10860
(dp10861
g11
(lp10862
sg13
V\u005ctext{MessageName}\u005cleft[a, \u005ctext{"b"}\u005cright]
p10863
sg15
I2
sass(g1696
g10457
VNumberForm
p10864
I0
tp10865
(dp10866
g6
VNumberForm[N[Pi], 10]
p10867
sg8
(lp10868
(dp10869
g11
(lp10870
sg13
V3.141592654
p10871
sg15
I1
sass(g1696
g10457
g10864
I1
tp10872
(dp10873
g6
VNumberForm[N[Pi], {10, 5}]
p10874
sg8
(lp10875
(dp10876
g11
(lp10877
sg13
V3.14159
p10878
sg15
I2
sass(g1696
g10457
VOff
p10879
I0
tp10880
(dp10881
g6
VOff[Power::infy]
p10882
sg8
(lp10883
(dp10884
g11
(lp10885
sg13
Nsg15
I1
sass(g1696
g10457
g10879
I1
tp10886
(dp10887
g6
V1 / 0
p10888
sg8
(lp10889
(dp10890
g11
(lp10891
sg13
V\u005ctext{ComplexInfinity}
p10892
sg15
I2
sass(g1696
g10457
g10879
I2
tp10893
(dp10894
g6
VOff[Power::indet, Syntax::com]
p10895
sg8
(lp10896
(dp10897
g11
(lp10898
sg13
Nsg15
I3
sass(g1696
g10457
g10879
I3
tp10899
(dp10900
g6
V{0 ^ 0,}
p10901
sg8
(lp10902
(dp10903
g11
(lp10904
sg13
V\u005cleft\u005c{\u005ctext{Indeterminate},\u005ctext{Null}\u005cright\u005c}
p10905
sg15
I4
sass(g1696
g10457
VOn
p10906
I0
tp10907
(dp10908
g6
VOff[Power::infy]
p10909
sg8
(lp10910
(dp10911
g11
(lp10912
sg13
Nsg15
I1
sass(g1696
g10457
g10906
I1
tp10913
(dp10914
g6
V1 / 0
p10915
sg8
(lp10916
(dp10917
g11
(lp10918
sg13
V\u005ctext{ComplexInfinity}
p10919
sg15
I2
sass(g1696
g10457
g10906
I2
tp10920
(dp10921
g6
VOn[Power::infy]
p10922
sg8
(lp10923
(dp10924
g11
(lp10925
sg13
Nsg15
I3
sass(g1696
g10457
g10906
I3
tp10926
(dp10927
g6
V1 / 0
p10928
sg8
(lp10929
(dp10930
g11
(lp10931
(dp10932
g149
I01
sg150
VPower
p10933
sg152
g153
sg154
VPower::infy
p10934
sg156
VInfinite expression 1 / 0 encountered.
p10935
sasg13
V\u005ctext{ComplexInfinity}
p10936
sg15
I4
sass(g1696
g10457
VOutputForm
p10937
I0
tp10938
(dp10939
g6
VOutputForm[f'[x]]
p10940
sg8
(lp10941
(dp10942
g11
(lp10943
sg13
Vf'\u005cleft[x\u005cright]
p10944
sg15
I1
sass(g1696
g10457
g10937
I1
tp10945
(dp10946
g6
VOutputForm[Derivative[1, 0][f][x]]
p10947
sg8
(lp10948
(dp10949
g11
(lp10950
sg13
V\u005ctext{Derivative}\u005cleft[1, 0\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p10951
sg15
I2
sass(g1696
g10457
g10937
I2
tp10952
(dp10953
g6
VOutputForm["A string"]
p10954
sg8
(lp10955
(dp10956
g11
(lp10957
sg13
V\u005ctext{A string}
p10958
sg15
I3
sass(g1696
g10457
g10937
I3
tp10959
(dp10960
g6
VOutputForm[Graphics[Rectangle[]]]
p10961
sg8
(lp10962
(dp10963
g11
(lp10964
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
p10965
sg15
I4
sass(g1696
g10457
VPostfix
p10966
I0
tp10967
(dp10968
g6
Vb // a
p10969
sg8
(lp10970
(dp10971
g11
(lp10972
sg13
Va\u005cleft[b\u005cright]
p10973
sg15
I1
sass(g1696
g10457
g10966
I1
tp10974
(dp10975
g6
Vc // b // a
p10976
sg8
(lp10977
(dp10978
g11
(lp10979
sg13
Va\u005cleft[b\u005cleft[c\u005cright]\u005cright]
p10980
sg15
I2
sass(g1696
g10457
g10966
I2
tp10981
(dp10982
g6
VHold[x // a // b // c // d // e // f]
p10983
sg8
(lp10984
(dp10985
g11
(lp10986
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]
p10987
sg15
I3
sass(g1696
g10457
VPrecedence
p10988
I0
tp10989
(dp10990
g6
VPrecedence[Plus]
p10991
sg8
(lp10992
(dp10993
g11
(lp10994
sg13
V310.
p10995
sg15
I1
sass(g1696
g10457
g10988
I1
tp10996
(dp10997
g6
VPrecedence[Plus] < Precedence[Times]
p10998
sg8
(lp10999
(dp11000
g11
(lp11001
sg13
V\u005ctext{True}
p11002
sg15
I2
sass(g1696
g10457
g10988
I2
tp11003
(dp11004
g6
VPrecedence[f]
p11005
sg8
(lp11006
(dp11007
g11
(lp11008
sg13
V670.
p11009
sg15
I3
sass(g1696
g10457
g10988
I3
tp11010
(dp11011
g6
VPrecedence[a + b]
p11012
sg8
(lp11013
(dp11014
g11
(lp11015
sg13
V1000.
p11016
sg15
I4
sass(g1696
g10457
VPrefix
p11017
I0
tp11018
(dp11019
g6
Va @ b
p11020
sg8
(lp11021
(dp11022
g11
(lp11023
sg13
Va\u005cleft[b\u005cright]
p11024
sg15
I1
sass(g1696
g10457
g11017
I1
tp11025
(dp11026
g6
Va @ b @ c
p11027
sg8
(lp11028
(dp11029
g11
(lp11030
sg13
Va\u005cleft[b\u005cleft[c\u005cright]\u005cright]
p11031
sg15
I2
sass(g1696
g10457
g11017
I2
tp11032
(dp11033
g6
VFormat[p[x_]] := Prefix[{x}, "*"]
p11034
sg8
(lp11035
(dp11036
g11
(lp11037
sg13
Nsg15
I3
sass(g1696
g10457
g11017
I3
tp11038
(dp11039
g6
Vp[3]
p11040
sg8
(lp11041
(dp11042
g11
(lp11043
sg13
V*3
p11044
sg15
I4
sass(g1696
g10457
g11017
I4
tp11045
(dp11046
g6
VFormat[q[x_]] := Prefix[{x}, "~", 350]
p11047
sg8
(lp11048
(dp11049
g11
(lp11050
sg13
Nsg15
I5
sass(g1696
g10457
g11017
I5
tp11051
(dp11052
g6
Vq[a+b]
p11053
sg8
(lp11054
(dp11055
g11
(lp11056
sg13
V\u005csim{}\u005cleft(a+b\u005cright)
p11057
sg15
I6
sass(g1696
g10457
g11017
I6
tp11058
(dp11059
g6
Vq[a*b]
p11060
sg8
(lp11061
(dp11062
g11
(lp11063
sg13
V\u005csim{}a b
p11064
sg15
I7
sass(g1696
g10457
g11017
I7
tp11065
(dp11066
g6
Vq[a]+b
p11067
sg8
(lp11068
(dp11069
g11
(lp11070
sg13
Vb+\u005csim{}a
p11071
sg15
I8
sass(g1696
g10457
g11017
I8
tp11072
(dp11073
g6
VHold[a @ b @ c @ d @ e @ f @ x]
p11074
sg8
(lp11075
(dp11076
g11
(lp11077
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]
p11078
sg15
I9
sass(g1696
g10457
VPrint
p11079
I0
tp11080
(dp11081
g6
VPrint["Hello world!"]
p11082
sg8
(lp11083
(dp11084
g11
(lp11085
(dp11086
g149
I00
sg156
VHello world!
p11087
sasg13
Nsg15
I1
sass(g1696
g10457
g11079
I1
tp11088
(dp11089
g6
VPrint["The answer is ", 7 * 6, "."]
p11090
sg8
(lp11091
(dp11092
g11
(lp11093
(dp11094
g149
I00
sg156
VThe answer is 42.
p11095
sasg13
Nsg15
I2
sass(g1696
g10457
VPythonForm
p11096
I0
tp11097
(dp11098
g6
VPythonForm[Infinity]
p11099
sg8
(lp11100
(dp11101
g11
(lp11102
sg13
V\u005ctext{math.inf}
p11103
sg15
I1
sass(g1696
g10457
g11096
I1
tp11104
(dp11105
g6
VPythonForm[Pi]
p11106
sg8
(lp11107
(dp11108
g11
(lp11109
sg13
V\u005ctext{sympy.pi}
p11110
sg15
I2
sass(g1696
g10457
g11096
I2
tp11111
(dp11112
g6
VE // PythonForm
p11113
sg8
(lp11114
(dp11115
g11
(lp11116
sg13
V\u005ctext{sympy.E}
p11117
sg15
I3
sass(g1696
g10457
g11096
I3
tp11118
(dp11119
g6
V{1, 2, 3} // PythonForm
p11120
sg8
(lp11121
(dp11122
g11
(lp11123
sg13
V\u005ctext{[1, 2, 3]}
p11124
sg15
I4
sass(g1696
g10457
VQuiet
p11125
I0
tp11126
(dp11127
g6
Va::b = "Hello";
p11128
sg8
(lp11129
(dp11130
g11
(lp11131
sg13
Nsg15
I1
sass(g1696
g10457
g11125
I1
tp11132
(dp11133
g6
VQuiet[x+x, {a::b}]
p11134
sg8
(lp11135
(dp11136
g11
(lp11137
sg13
V2 x
p11138
sg15
I2
sass(g1696
g10457
g11125
I2
tp11139
(dp11140
g6
VQuiet[Message[a::b]; x+x, {a::b}]
p11141
sg8
(lp11142
(dp11143
g11
(lp11144
sg13
V2 x
p11145
sg15
I3
sass(g1696
g10457
g11125
I3
tp11146
(dp11147
g6
VMessage[a::b]; y=Quiet[Message[a::b]; x+x, {a::b}]; Message[a::b]; y
p11148
sg8
(lp11149
(dp11150
g11
(lp11151
(dp11152
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p11153
sg156
VHello
p11154
sa(dp11155
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p11156
sg156
g11154
sasg13
V2 x
p11157
sg15
I4
sass(g1696
g10457
g11125
I4
tp11158
(dp11159
g6
VQuiet[expr, All, All]
p11160
sg8
(lp11161
(dp11162
g11
(lp11163
(dp11164
g149
I01
sg150
VQuiet
p11165
sg152
Vallall
p11166
sg154
VQuiet::allall
p11167
sg156
VArguments 2 and 3 of Quiet[expr, All, All] should not both be All.
p11168
sasg13
V\u005ctext{Quiet}\u005cleft[\u005ctext{expr},\u005ctext{All},\u005ctext{All}\u005cright]
p11169
sg15
I5
sass(g1696
g10457
g11125
I5
tp11170
(dp11171
g6
VQuiet[x + x, {a::b}, {a::b}]
p11172
sg8
(lp11173
(dp11174
g11
(lp11175
(dp11176
g149
I01
sg150
VQuiet
p11177
sg152
Vconflict
p11178
sg154
VQuiet::conflict
p11179
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.
p11180
sasg13
V\u005ctext{Quiet}\u005cleft[x+x,\u005cleft\u005c{a\u005ctext{::}\u005ctext{b}\u005cright\u005c},\u005cleft\u005c{a\u005ctext{::}\u005ctext{b}\u005cright\u005c}\u005cright]
p11181
sg15
I6
sass(g1696
g10457
VStandardForm
p11182
I0
tp11183
(dp11184
g6
VStandardForm[a + b * c]
p11185
sg8
(lp11186
(dp11187
g11
(lp11188
sg13
Va+b c
p11189
sg15
I1
sass(g1696
g10457
g11182
I1
tp11190
(dp11191
g6
VStandardForm["A string"]
p11192
sg8
(lp11193
(dp11194
g11
(lp11195
sg13
V\u005ctext{A string}
p11196
sg15
I2
sass(g1696
g10457
g11182
I2
tp11197
(dp11198
g6
V"A string"
p11199
sg8
(lp11200
(dp11201
g11
(lp11202
sg13
V\u005ctext{A string}
p11203
sg15
I3
sass(g1696
g10457
g11182
I3
tp11204
(dp11205
g6
Vf'[x]
p11206
sg8
(lp11207
(dp11208
g11
(lp11209
sg13
Vf'\u005cleft[x\u005cright]
p11210
sg15
I4
sass(g1696
g10457
VStringForm
p11211
I0
tp11212
(dp11213
g6
VStringForm["`1` bla `2` blub `` bla `2`", a, b, c]
p11214
sg8
(lp11215
(dp11216
g11
(lp11217
sg13
Va\u005ctext{ bla }b\u005ctext{ blub }c\u005ctext{ bla }b
p11218
sg15
I1
sass(g1696
g10457
VSubscript
p11219
I0
tp11220
(dp11221
g6
VSubscript[x,1,2,3] // TeXForm
p11222
sg8
(lp11223
(dp11224
g11
(lp11225
sg13
V\u005ctext{x\u005c_\u005c{1,2,3\u005c}}
p11226
sg15
I1
sass(g1696
g10457
VSubsuperscript
p11227
I0
tp11228
(dp11229
g6
VSubsuperscript[a, b, c] // TeXForm
p11230
sg8
(lp11231
(dp11232
g11
(lp11233
sg13
V\u005ctext{a\u005c_b${}^{\u005cwedge}$c}
p11234
sg15
I1
sass(g1696
g10457
VSuperscript
p11235
I0
tp11236
(dp11237
g6
VSuperscript[x,3] // TeXForm
p11238
sg8
(lp11239
(dp11240
g11
(lp11241
sg13
V\u005ctext{x${}^{\u005cwedge}$3}
p11242
sg15
I1
sass(g1696
g10457
VSympyForm
p11243
I0
tp11244
(dp11245
g6
VSympyForm[Pi^2]
p11246
sg8
(lp11247
(dp11248
g11
(lp11249
sg13
V\u005ctext{pi**2}
p11250
sg15
I1
sass(g1696
g10457
g11243
I1
tp11251
(dp11252
g6
VE^2 + 3E // SympyForm
p11253
sg8
(lp11254
(dp11255
g11
(lp11256
sg13
V\u005ctext{exp(2) + 3*E}
p11257
sg15
I2
sass(g1696
g10457
VSyntax
p11258
I0
tp11259
(dp11260
g6
V1 +
p11261
sg8
(lp11262
ss(g1696
g10457
g11258
I1
tp11263
(dp11264
g6
VSin[1)
p11265
sg8
(lp11266
ss(g1696
g10457
g11258
I2
tp11267
(dp11268
g6
V^ 2
p11269
sg8
(lp11270
ss(g1696
g10457
g11258
I3
tp11271
(dp11272
g6
V1.5``
p11273
sg8
(lp11274
ss(g1696
g10457
VTableForm
p11275
I0
tp11276
(dp11277
g6
VTableForm[Array[a, {3,2}],TableDepth->1]
p11278
sg8
(lp11279
(dp11280
g11
(lp11281
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}
p11282
sg15
I1
sass(g1696
g10457
g11275
I1
tp11283
(dp11284
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
p11285
sg8
(lp11286
(dp11287
g11
(lp11288
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}
p11289
sg15
I2
sass(g1696
g10457
VTeXForm
p11290
I0
tp11291
(dp11292
g6
VTeXForm[HoldForm[Sqrt[a^3]]]
p11293
sg8
(lp11294
(dp11295
g11
(lp11296
sg13
V\u005ctext{$\u005cbackslash$sqrt\u005c{a${}^{\u005cwedge}$3\u005c}}
p11297
sg15
I1
sass(g1696
g10457
VToBoxes
p11298
I0
tp11299
(dp11300
g6
VToBoxes[a + a]
p11301
sg8
(lp11302
(dp11303
g11
(lp11304
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{2},\u005ctext{ },\u005ctext{a}\u005cright\u005c}\u005cright]
p11305
sg15
I1
sass(g1696
g10457
g11298
I1
tp11306
(dp11307
g6
VToBoxes[a + b]
p11308
sg8
(lp11309
(dp11310
g11
(lp11311
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{a},\u005ctext{+},\u005ctext{b}\u005cright\u005c}\u005cright]
p11312
sg15
I2
sass(g1696
g10457
g11298
I2
tp11313
(dp11314
g6
VToBoxes[a ^ b] // FullForm
p11315
sg8
(lp11316
(dp11317
g11
(lp11318
sg13
V\u005ctext{SuperscriptBox}\u005cleft[\u005ctext{"a"}, \u005ctext{"b"}\u005cright]
p11319
sg15
I3
sass(g1696
g10457
V$UseSansSerif
p11320
I0
tp11321
(dp11322
g6
V$UseSansSerif
p11323
sg8
(lp11324
(dp11325
g11
(lp11326
sg13
V\u005ctext{True}
p11327
sg15
I1
sass(g1696
g10457
g11320
I1
tp11328
(dp11329
g6
V$UseSansSerif = False
p11330
sg8
(lp11331
(dp11332
g11
(lp11333
sg13
V\u005ctext{False}
p11334
sg15
I2
sass(g1696
VInteger Functions
p11335
VBitLength
p11336
I0
tp11337
(dp11338
g6
VBitLength[1023]
p11339
sg8
(lp11340
(dp11341
g11
(lp11342
sg13
V10
p11343
sg15
I1
sass(g1696
g11335
g11336
I1
tp11344
(dp11345
g6
VBitLength[100]
p11346
sg8
(lp11347
(dp11348
g11
(lp11349
sg13
V7
p11350
sg15
I2
sass(g1696
g11335
g11336
I2
tp11351
(dp11352
g6
VBitLength[-5]
p11353
sg8
(lp11354
(dp11355
g11
(lp11356
sg13
V3
p11357
sg15
I3
sass(g1696
g11335
g11336
I3
tp11358
(dp11359
g6
VBitLength[0]
p11360
sg8
(lp11361
(dp11362
g11
(lp11363
sg13
V0
p11364
sg15
I4
sass(g1696
g11335
VCeiling
p11365
I0
tp11366
(dp11367
g6
VCeiling[1.2]
p11368
sg8
(lp11369
(dp11370
g11
(lp11371
sg13
V2
p11372
sg15
I1
sass(g1696
g11335
g11365
I1
tp11373
(dp11374
g6
VCeiling[3/2]
p11375
sg8
(lp11376
(dp11377
g11
(lp11378
sg13
V2
p11379
sg15
I2
sass(g1696
g11335
g11365
I2
tp11380
(dp11381
g6
VCeiling[1.3 + 0.7 I]
p11382
sg8
(lp11383
(dp11384
g11
(lp11385
sg13
V2+I
p11386
sg15
I3
sass(g1696
g11335
VDigitCount
p11387
I0
tp11388
(dp11389
g6
VDigitCount[1022]
p11390
sg8
(lp11391
(dp11392
g11
(lp11393
sg13
V\u005cleft\u005c{1,2,0,0,0,0,0,0,0,1\u005cright\u005c}
p11394
sg15
I1
sass(g1696
g11335
g11387
I1
tp11395
(dp11396
g6
VDigitCount[Floor[Pi * 10^100]]
p11397
sg8
(lp11398
(dp11399
g11
(lp11400
sg13
V\u005cleft\u005c{8,12,12,10,8,9,8,12,14,8\u005cright\u005c}
p11401
sg15
I2
sass(g1696
g11335
g11387
I2
tp11402
(dp11403
g6
VDigitCount[1022, 2]
p11404
sg8
(lp11405
(dp11406
g11
(lp11407
sg13
V\u005cleft\u005c{9,1\u005cright\u005c}
p11408
sg15
I3
sass(g1696
g11335
g11387
I3
tp11409
(dp11410
g6
VDigitCount[1022, 2, 1]
p11411
sg8
(lp11412
(dp11413
g11
(lp11414
sg13
V9
p11415
sg15
I4
sass(g1696
g11335
VFloor
p11416
I0
tp11417
(dp11418
g6
VFloor[10.4]
p11419
sg8
(lp11420
(dp11421
g11
(lp11422
sg13
V10
p11423
sg15
I1
sass(g1696
g11335
g11416
I1
tp11424
(dp11425
g6
VFloor[10/3]
p11426
sg8
(lp11427
(dp11428
g11
(lp11429
sg13
V3
p11430
sg15
I2
sass(g1696
g11335
g11416
I2
tp11431
(dp11432
g6
VFloor[10]
p11433
sg8
(lp11434
(dp11435
g11
(lp11436
sg13
V10
p11437
sg15
I3
sass(g1696
g11335
g11416
I3
tp11438
(dp11439
g6
VFloor[21, 2]
p11440
sg8
(lp11441
(dp11442
g11
(lp11443
sg13
V20
p11444
sg15
I4
sass(g1696
g11335
g11416
I4
tp11445
(dp11446
g6
VFloor[2.6, 0.5]
p11447
sg8
(lp11448
(dp11449
g11
(lp11450
sg13
V2.5
p11451
sg15
I5
sass(g1696
g11335
g11416
I5
tp11452
(dp11453
g6
VFloor[-10.4]
p11454
sg8
(lp11455
(dp11456
g11
(lp11457
sg13
V-11
p11458
sg15
I6
sass(g1696
g11335
g11416
I6
tp11459
(dp11460
g6
VFloor[1.5 + 2.7 I]
p11461
sg8
(lp11462
(dp11463
g11
(lp11464
sg13
V1+2 I
p11465
sg15
I7
sass(g1696
g11335
g11416
I7
tp11466
(dp11467
g6
VFloor[10.4, -1]
p11468
sg8
(lp11469
(dp11470
g11
(lp11471
sg13
V11
p11472
sg15
I8
sass(g1696
g11335
g11416
I8
tp11473
(dp11474
g6
VFloor[-10.4, -1]
p11475
sg8
(lp11476
(dp11477
g11
(lp11478
sg13
V-10
p11479
sg15
I9
sass(g1696
g11335
VFromDigits
p11480
I0
tp11481
(dp11482
g6
VFromDigits["123"]
p11483
sg8
(lp11484
(dp11485
g11
(lp11486
sg13
V123
p11487
sg15
I1
sass(g1696
g11335
g11480
I1
tp11488
(dp11489
g6
VFromDigits[{1, 2, 3}]
p11490
sg8
(lp11491
(dp11492
g11
(lp11493
sg13
V123
p11494
sg15
I2
sass(g1696
g11335
g11480
I2
tp11495
(dp11496
g6
VFromDigits[{1, 0, 1}, 1000]
p11497
sg8
(lp11498
(dp11499
g11
(lp11500
sg13
V1000001
p11501
sg15
I3
sass(g1696
g11335
g11480
I3
tp11502
(dp11503
g6
VFromDigits[{a, b, c}, 5]
p11504
sg8
(lp11505
(dp11506
g11
(lp11507
sg13
Vc+5 \u005cleft(5 a+b\u005cright)
p11508
sg15
I4
sass(g1696
g11335
g11480
I4
tp11509
(dp11510
g6
VFromDigits["a0"]
p11511
sg8
(lp11512
(dp11513
g11
(lp11514
sg13
V100
p11515
sg15
I5
sass(g1696
g11335
g11480
I5
tp11516
(dp11517
g6
VFromDigits["a0", 16]
p11518
sg8
(lp11519
(dp11520
g11
(lp11521
sg13
V160
p11522
sg15
I6
sass(g1696
g11335
g11480
I6
tp11523
(dp11524
g6
VFromDigits[{}]
p11525
sg8
(lp11526
(dp11527
g11
(lp11528
sg13
V0
p11529
sg15
I7
sass(g1696
g11335
g11480
I7
tp11530
(dp11531
g6
VFromDigits[""]
p11532
sg8
(lp11533
(dp11534
g11
(lp11535
sg13
V0
p11536
sg15
I8
sass(g1696
g11335
VIntegerDigits
p11537
I0
tp11538
(dp11539
g6
VIntegerDigits[12345]
p11540
sg8
(lp11541
(dp11542
g11
(lp11543
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p11544
sg15
I1
sass(g1696
g11335
g11537
I1
tp11545
(dp11546
g6
VIntegerDigits[-500]
p11547
sg8
(lp11548
(dp11549
g11
(lp11550
sg13
V\u005cleft\u005c{5,0,0\u005cright\u005c}
p11551
sg15
I2
sass(g1696
g11335
g11537
I2
tp11552
(dp11553
g6
VIntegerDigits[12345, 10, 8]
p11554
sg8
(lp11555
(dp11556
g11
(lp11557
sg13
V\u005cleft\u005c{0,0,0,1,2,3,4,5\u005cright\u005c}
p11558
sg15
I3
sass(g1696
g11335
g11537
I3
tp11559
(dp11560
g6
VIntegerDigits[12345, 10, 3]
p11561
sg8
(lp11562
(dp11563
g11
(lp11564
sg13
V\u005cleft\u005c{3,4,5\u005cright\u005c}
p11565
sg15
I4
sass(g1696
g11335
g11537
I4
tp11566
(dp11567
g6
VIntegerDigits[11, 2]
p11568
sg8
(lp11569
(dp11570
g11
(lp11571
sg13
V\u005cleft\u005c{1,0,1,1\u005cright\u005c}
p11572
sg15
I5
sass(g1696
g11335
g11537
I5
tp11573
(dp11574
g6
VIntegerDigits[123, 8]
p11575
sg8
(lp11576
(dp11577
g11
(lp11578
sg13
V\u005cleft\u005c{1,7,3\u005cright\u005c}
p11579
sg15
I6
sass(g1696
g11335
g11537
I6
tp11580
(dp11581
g6
VIntegerDigits[98765, 20]
p11582
sg8
(lp11583
(dp11584
g11
(lp11585
sg13
V\u005cleft\u005c{12,6,18,5\u005cright\u005c}
p11586
sg15
I7
sass(g1696
g11335
VIntegerLength
p11587
I0
tp11588
(dp11589
g6
VIntegerLength[123456]
p11590
sg8
(lp11591
(dp11592
g11
(lp11593
sg13
V6
p11594
sg15
I1
sass(g1696
g11335
g11587
I1
tp11595
(dp11596
g6
VIntegerLength[10^10000]
p11597
sg8
(lp11598
(dp11599
g11
(lp11600
sg13
V10001
p11601
sg15
I2
sass(g1696
g11335
g11587
I2
tp11602
(dp11603
g6
VIntegerLength[-10^1000]
p11604
sg8
(lp11605
(dp11606
g11
(lp11607
sg13
V1001
p11608
sg15
I3
sass(g1696
g11335
g11587
I3
tp11609
(dp11610
g6
VIntegerLength[8, 2]
p11611
sg8
(lp11612
(dp11613
g11
(lp11614
sg13
V4
p11615
sg15
I4
sass(g1696
g11335
g11587
I4
tp11616
(dp11617
g6
VIntegerLength /@ (10 ^ Range[100]) == Range[2, 101]
p11618
sg8
(lp11619
(dp11620
g11
(lp11621
sg13
V\u005ctext{True}
p11622
sg15
I5
sass(g1696
g11335
g11587
I5
tp11623
(dp11624
g6
VIntegerLength[3, -2]
p11625
sg8
(lp11626
(dp11627
g11
(lp11628
(dp11629
g149
I01
sg150
VIntegerLength
p11630
sg152
Vbase
p11631
sg154
VIntegerLength::base
p11632
sg156
VBase -2 is not an integer greater than 1.
p11633
sasg13
V\u005ctext{IntegerLength}\u005cleft[3,-2\u005cright]
p11634
sg15
I6
sass(g1696
g11335
g11587
I6
tp11635
(dp11636
g6
VIntegerLength[0]
p11637
sg8
(lp11638
(dp11639
g11
(lp11640
sg13
V0
p11641
sg15
I7
sass(g1696
g11335
VIntegerReverse
p11642
I0
tp11643
(dp11644
g6
VIntegerReverse[1234]
p11645
sg8
(lp11646
(dp11647
g11
(lp11648
sg13
V4321
p11649
sg15
I1
sass(g1696
g11335
g11642
I1
tp11650
(dp11651
g6
VIntegerReverse[1022, 2]
p11652
sg8
(lp11653
(dp11654
g11
(lp11655
sg13
V511
p11656
sg15
I2
sass(g1696
g11335
g11642
I2
tp11657
(dp11658
g6
VIntegerReverse[-123]
p11659
sg8
(lp11660
(dp11661
g11
(lp11662
sg13
V321
p11663
sg15
I3
sass(g1696
g11335
VIntegerString
p11664
I0
tp11665
(dp11666
g6
VIntegerString[12345]
p11667
sg8
(lp11668
(dp11669
g11
(lp11670
sg13
V\u005ctext{12345}
p11671
sg15
I1
sass(g1696
g11335
g11664
I1
tp11672
(dp11673
g6
VIntegerString[-500]
p11674
sg8
(lp11675
(dp11676
g11
(lp11677
sg13
V\u005ctext{500}
p11678
sg15
I2
sass(g1696
g11335
g11664
I2
tp11679
(dp11680
g6
VIntegerString[12345, 10, 8]
p11681
sg8
(lp11682
(dp11683
g11
(lp11684
sg13
V\u005ctext{00012345}
p11685
sg15
I3
sass(g1696
g11335
g11664
I3
tp11686
(dp11687
g6
VIntegerString[12345, 10, 3]
p11688
sg8
(lp11689
(dp11690
g11
(lp11691
sg13
V\u005ctext{345}
p11692
sg15
I4
sass(g1696
g11335
g11664
I4
tp11693
(dp11694
g6
VIntegerString[11, 2]
p11695
sg8
(lp11696
(dp11697
g11
(lp11698
sg13
V\u005ctext{1011}
p11699
sg15
I5
sass(g1696
g11335
g11664
I5
tp11700
(dp11701
g6
VIntegerString[123, 8]
p11702
sg8
(lp11703
(dp11704
g11
(lp11705
sg13
V\u005ctext{173}
p11706
sg15
I6
sass(g1696
g11335
g11664
I6
tp11707
(dp11708
g6
VIntegerString[32767, 16]
p11709
sg8
(lp11710
(dp11711
g11
(lp11712
sg13
V\u005ctext{7fff}
p11713
sg15
I7
sass(g1696
g11335
g11664
I7
tp11714
(dp11715
g6
VIntegerString[98765, 20]
p11716
sg8
(lp11717
(dp11718
g11
(lp11719
sg13
V\u005ctext{c6i5}
p11720
sg15
I8
sass(g1696
VThe Main Loop
p11721
V$Pre
p11722
I0
tp11723
(dp11724
g6
V$Pre := (Print["[Processing input...]"];#1)&
p11725
sg8
(lp11726
(dp11727
g11
(lp11728
sg13
Nsg15
I1
sass(g1696
g11721
g11722
I1
tp11729
(dp11730
g6
V$Post := (Print["[Storing result...]"]; #1)&
p11731
sg8
(lp11732
(dp11733
g11
(lp11734
(dp11735
g149
I00
sg156
V[Processing input...]
p11736
sa(dp11737
g149
I00
sg156
V[Storing result...]
p11738
sasg13
Nsg15
I2
sass(g1696
g11721
g11722
I2
tp11739
(dp11740
g6
V$PrePrint := (Print["The result is:"]; {TimeUsed[], #1})&
p11741
sg8
(lp11742
(dp11743
g11
(lp11744
(dp11745
g149
I00
sg156
V[Processing input...]
p11746
sa(dp11747
g149
I00
sg156
V[Storing result...]
p11748
sasg13
Nsg15
I3
sass(g1696
g11721
g11722
I3
tp11749
(dp11750
g6
V2 + 2
p11751
sg8
(lp11752
(dp11753
g11
(lp11754
(dp11755
g149
I00
sg156
V[Processing input...]
p11756
sa(dp11757
g149
I00
sg156
V[Storing result...]
p11758
sa(dp11759
g149
I00
sg156
VThe result is:
p11760
sasg13
V\u005cleft\u005c{307.758,4\u005cright\u005c}
p11761
sg15
I4
sass(g1696
g11721
g11722
I4
tp11762
(dp11763
g6
V$Pre = .; $Post = .;  $PrePrint = .;  $EnlapsedTime = .;
p11764
sg8
(lp11765
(dp11766
g11
(lp11767
(dp11768
g149
I00
sg156
V[Processing input...]
p11769
sasg13
Nsg15
I5
sass(g1696
g11721
g11722
I5
tp11770
(dp11771
g6
V2 + 2
p11772
sg8
(lp11773
(dp11774
g11
(lp11775
sg13
V4
p11776
sg15
I6
sass(g1696
VLinear algebra
p11777
VBrayCurtisDistance
p11778
I0
tp11779
(dp11780
g6
VBrayCurtisDistance[-7, 5]
p11781
sg8
(lp11782
(dp11783
g11
(lp11784
sg13
V6
p11785
sg15
I1
sass(g1696
g11777
g11778
I1
tp11786
(dp11787
g6
VBrayCurtisDistance[{-1, -1}, {10, 10}]
p11788
sg8
(lp11789
(dp11790
g11
(lp11791
sg13
V\u005cfrac{11}{9}
p11792
sg15
I2
sass(g1696
g11777
VCanberraDistance
p11793
I0
tp11794
(dp11795
g6
VCanberraDistance[-7, 5]
p11796
sg8
(lp11797
(dp11798
g11
(lp11799
sg13
V1
p11800
sg15
I1
sass(g1696
g11777
g11793
I1
tp11801
(dp11802
g6
VCanberraDistance[{-1, -1}, {1, 1}]
p11803
sg8
(lp11804
(dp11805
g11
(lp11806
sg13
V2
p11807
sg15
I2
sass(g1696
g11777
VChessboardDistance
p11808
I0
tp11809
(dp11810
g6
VChessboardDistance[-7, 5]
p11811
sg8
(lp11812
(dp11813
g11
(lp11814
sg13
V12
p11815
sg15
I1
sass(g1696
g11777
g11808
I1
tp11816
(dp11817
g6
VChessboardDistance[{-1, -1}, {1, 1}]
p11818
sg8
(lp11819
(dp11820
g11
(lp11821
sg13
V2
p11822
sg15
I2
sass(g1696
g11777
VCosineDistance
p11823
I0
tp11824
(dp11825
g6
VN[CosineDistance[{7, 9}, {71, 89}]]
p11826
sg8
(lp11827
(dp11828
g11
(lp11829
sg13
V0.0000759646
p11830
sg15
I1
sass(g1696
g11777
g11823
I1
tp11831
(dp11832
g6
VCosineDistance[{a, b}, {c, d}]
p11833
sg8
(lp11834
(dp11835
g11
(lp11836
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}}
p11837
sg15
I2
sass(g1696
g11777
VCross
p11838
I0
tp11839
(dp11840
g6
VCross[{x1, y1, z1}, {x2, y2, z2}]
p11841
sg8
(lp11842
(dp11843
g11
(lp11844
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}
p11845
sg15
I1
sass(g1696
g11777
g11838
I1
tp11846
(dp11847
g6
VCross[{x, y}]
p11848
sg8
(lp11849
(dp11850
g11
(lp11851
sg13
V\u005cleft\u005c{-y,x\u005cright\u005c}
p11852
sg15
I2
sass(g1696
g11777
g11838
I2
tp11853
(dp11854
g6
VCross[{1, 2}, {3, 4, 5}]
p11855
sg8
(lp11856
(dp11857
g11
(lp11858
(dp11859
g149
I01
sg150
VCross
p11860
sg152
Vnonn1
p11861
sg154
VCross::nonn1
p11862
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.
p11863
sasg13
V\u005ctext{Cross}\u005cleft[\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{3,4,5\u005cright\u005c}\u005cright]
p11864
sg15
I3
sass(g1696
g11777
VDesignMatrix
p11865
I0
tp11866
(dp11867
g6
VDesignMatrix[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, x, x]
p11868
sg8
(lp11869
(dp11870
g11
(lp11871
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}
p11872
sg15
I1
sass(g1696
g11777
g11865
I1
tp11873
(dp11874
g6
VDesignMatrix[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, f[x], x]
p11875
sg8
(lp11876
(dp11877
g11
(lp11878
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}
p11879
sg15
I2
sass(g1696
g11777
VDet
p11880
I0
tp11881
(dp11882
g6
VDet[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p11883
sg8
(lp11884
(dp11885
g11
(lp11886
sg13
V-2
p11887
sg15
I1
sass(g1696
g11777
g11880
I1
tp11888
(dp11889
g6
VDet[{{a, b, c}, {d, e, f}, {g, h, i}}]
p11890
sg8
(lp11891
(dp11892
g11
(lp11893
sg13
Va e i-a f h-b d i+b f g+c d h-c e g
p11894
sg15
I2
sass(g1696
g11777
VEigensystem
p11895
I0
tp11896
(dp11897
g6
VEigensystem[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p11898
sg8
(lp11899
(dp11900
g11
(lp11901
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}
p11902
sg15
I1
sass(g1696
g11777
VEigenvalues
p11903
I0
tp11904
(dp11905
g6
VEigenvalues[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}] // Sort
p11906
sg8
(lp11907
(dp11908
g11
(lp11909
sg13
V\u005cleft\u005c{-1,1,2\u005cright\u005c}
p11910
sg15
I1
sass(g1696
g11777
g11903
I1
tp11911
(dp11912
g6
VEigenvalues[{{Cos[theta],Sin[theta],0},{-Sin[theta],Cos[theta],0},{0,0,1}}] // Sort
p11913
sg8
(lp11914
(dp11915
g11
(lp11916
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}
p11917
sg15
I2
sass(g1696
g11777
g11903
I2
tp11918
(dp11919
g6
VEigenvalues[{{7, 1}, {-4, 3}}]
p11920
sg8
(lp11921
(dp11922
g11
(lp11923
sg13
V\u005cleft\u005c{5,5\u005cright\u005c}
p11924
sg15
I3
sass(g1696
g11777
VEigenvectors
p11925
I0
tp11926
(dp11927
g6
VEigenvectors[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p11928
sg8
(lp11929
(dp11930
g11
(lp11931
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}
p11932
sg15
I1
sass(g1696
g11777
g11925
I1
tp11933
(dp11934
g6
VEigenvectors[{{1, 0, 0}, {0, 1, 0}, {0, 0, 0}}]
p11935
sg8
(lp11936
(dp11937
g11
(lp11938
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}
p11939
sg15
I2
sass(g1696
g11777
g11925
I2
tp11940
(dp11941
g6
VEigenvectors[{{2, 0, 0}, {0, -1, 0}, {0, 0, 0}}]
p11942
sg8
(lp11943
(dp11944
g11
(lp11945
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}
p11946
sg15
I3
sass(g1696
g11777
g11925
I3
tp11947
(dp11948
g6
VEigenvectors[{{0.1, 0.2}, {0.8, 0.5}}]
p11949
sg8
(lp11950
(dp11951
g11
(lp11952
sg13
V\u005cleft\u005c{\u005cleft\u005c{-0.355518,-1.15048\u005cright\u005c},\u005cleft\u005c{-0.62896,0.777438\u005cright\u005c}\u005cright\u005c}
p11953
sg15
I4
sass(g1696
g11777
VEuclideanDistance
p11954
I0
tp11955
(dp11956
g6
VEuclideanDistance[-7, 5]
p11957
sg8
(lp11958
(dp11959
g11
(lp11960
sg13
V12
p11961
sg15
I1
sass(g1696
g11777
g11954
I1
tp11962
(dp11963
g6
VEuclideanDistance[{-1, -1}, {1, 1}]
p11964
sg8
(lp11965
(dp11966
g11
(lp11967
sg13
V2 \u005csqrt{2}
p11968
sg15
I2
sass(g1696
g11777
g11954
I2
tp11969
(dp11970
g6
VEuclideanDistance[{a, b}, {c, d}]
p11971
sg8
(lp11972
(dp11973
g11
(lp11974
sg13
V\u005csqrt{\u005ctext{Abs}\u005cleft[a-c\u005cright]^2+\u005ctext{Abs}\u005cleft[b-d\u005cright]^2}
p11975
sg15
I3
sass(g1696
g11777
VInverse
p11976
I0
tp11977
(dp11978
g6
VInverse[{{1, 2, 0}, {2, 3, 0}, {3, 4, 1}}]
p11979
sg8
(lp11980
(dp11981
g11
(lp11982
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}
p11983
sg15
I1
sass(g1696
g11777
g11976
I1
tp11984
(dp11985
g6
VInverse[{{1, 0}, {0, 0}}]
p11986
sg8
(lp11987
(dp11988
g11
(lp11989
(dp11990
g149
I01
sg150
VInverse
p11991
sg152
Vsing
p11992
sg154
VInverse::sing
p11993
sg156
VThe matrix {{1, 0}, {0, 0}} is singular.
p11994
sasg13
V\u005ctext{Inverse}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{1,0\u005cright\u005c},\u005cleft\u005c{0,0\u005cright\u005c}\u005cright\u005c}\u005cright]
p11995
sg15
I2
sass(g1696
g11777
g11976
I2
tp11996
(dp11997
g6
VInverse[{{1, 0, 0}, {0, Sqrt[3]/2, 1/2}, {0,-1 / 2, Sqrt[3]/2}}]
p11998
sg8
(lp11999
(dp12000
g11
(lp12001
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}
p12002
sg15
I3
sass(g1696
g11777
VLeastSquares
p12003
I0
tp12004
(dp12005
g6
VLeastSquares[{{1, 2}, {2, 3}, {5, 6}}, {1, 5, 3}]
p12006
sg8
(lp12007
(dp12008
g11
(lp12009
sg13
V\u005cleft\u005c{-\u005cfrac{28}{13},\u005cfrac{31}{13}\u005cright\u005c}
p12010
sg15
I1
sass(g1696
g11777
g12003
I1
tp12011
(dp12012
g6
VSimplify[LeastSquares[{{1, 2}, {2, 3}, {5, 6}}, {1, x, 3}]]
p12013
sg8
(lp12014
(dp12015
g11
(lp12016
sg13
V\u005cleft\u005c{\u005cfrac{12}{13}-\u005cfrac{8 x}{13},-\u005cfrac{4}{13}+\u005cfrac{7 x}{13}\u005cright\u005c}
p12017
sg15
I2
sass(g1696
g11777
g12003
I2
tp12018
(dp12019
g6
VLeastSquares[{{1, 1, 1}, {1, 1, 2}}, {1, 3}]
p12020
sg8
(lp12021
(dp12022
g11
(lp12023
(dp12024
g149
I01
sg150
VLeastSquares
p12025
sg152
Vunderdetermined
p12026
sg154
VLeastSquares::underdetermined
p12027
sg156
VSolving for underdetermined system not implemented.
p12028
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]
p12029
sg15
I3
sass(g1696
g11777
VLinearModelFit
p12030
I0
tp12031
(dp12032
g6
Vm = LinearModelFit[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, x, x];
p12033
sg8
(lp12034
(dp12035
g11
(lp12036
sg13
Nsg15
I1
sass(g1696
g11777
g12030
I1
tp12037
(dp12038
g6
Vm["BasisFunctions"]
p12039
sg8
(lp12040
(dp12041
g11
(lp12042
sg13
V\u005cleft\u005c{1,x\u005cright\u005c}
p12043
sg15
I2
sass(g1696
g11777
g12030
I2
tp12044
(dp12045
g6
Vm["BestFit"]
p12046
sg8
(lp12047
(dp12048
g11
(lp12049
sg13
V0.186441+0.779661 x
p12050
sg15
I3
sass(g1696
g11777
g12030
I3
tp12051
(dp12052
g6
Vm["BestFitParameters"]
p12053
sg8
(lp12054
(dp12055
g11
(lp12056
sg13
V\u005cleft\u005c{0.186441,0.779661\u005cright\u005c}
p12057
sg15
I4
sass(g1696
g11777
g12030
I4
tp12058
(dp12059
g6
Vm["DesignMatrix"]
p12060
sg8
(lp12061
(dp12062
g11
(lp12063
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}
p12064
sg15
I5
sass(g1696
g11777
g12030
I5
tp12065
(dp12066
g6
Vm["Function"]
p12067
sg8
(lp12068
(dp12069
g11
(lp12070
sg13
V0.186441+0.779661 \u005ctext{\u005c#1}\u005c&
p12071
sg15
I6
sass(g1696
g11777
g12030
I6
tp12072
(dp12073
g6
Vm["Response"]
p12074
sg8
(lp12075
(dp12076
g11
(lp12077
sg13
V\u005cleft\u005c{1,4,3,6\u005cright\u005c}
p12078
sg15
I7
sass(g1696
g11777
g12030
I7
tp12079
(dp12080
g6
Vm["FitResiduals"]
p12081
sg8
(lp12082
(dp12083
g11
(lp12084
sg13
V\u005cleft\u005c{-0.745763,1.47458,-1.08475,0.355932\u005cright\u005c}
p12085
sg15
I8
sass(g1696
g11777
g12030
I8
tp12086
(dp12087
g6
Vm = LinearModelFit[{{2, 2, 1}, {3, 2, 4}, {5, 6, 3}, {7, 9, 6}}, {Sin[x], Cos[y]}, {x, y}];
p12088
sg8
(lp12089
(dp12090
g11
(lp12091
sg13
Nsg15
I9
sass(g1696
g11777
g12030
I9
tp12092
(dp12093
g6
Vm["BasisFunctions"]
p12094
sg8
(lp12095
(dp12096
g11
(lp12097
sg13
V\u005cleft\u005c{1,\u005ctext{Sin}\u005cleft[x\u005cright],\u005ctext{Cos}\u005cleft[y\u005cright]\u005cright\u005c}
p12098
sg15
I10
sass(g1696
g11777
g12030
I10
tp12099
(dp12100
g6
Vm["Function"]
p12101
sg8
(lp12102
(dp12103
g11
(lp12104
sg13
V3.33077-5.65221 \u005ctext{Cos}\u005cleft[\u005ctext{\u005c#2}\u005cright]-5.01042 \u005ctext{Sin}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p12105
sg15
I11
sass(g1696
g11777
g12030
I11
tp12106
(dp12107
g6
Vm = LinearModelFit[{{{1, 4}, {1, 5}, {1, 7}}, {1, 2, 3}}];
p12108
sg8
(lp12109
(dp12110
g11
(lp12111
sg13
Nsg15
I12
sass(g1696
g11777
g12030
I12
tp12112
(dp12113
g6
Vm["BasisFunctions"]
p12114
sg8
(lp12115
(dp12116
g11
(lp12117
sg13
V\u005cleft\u005c{\u005ctext{\u005c#1},\u005ctext{\u005c#2}\u005cright\u005c}
p12118
sg15
I13
sass(g1696
g11777
g12030
I13
tp12119
(dp12120
g6
Vm["FitResiduals"]
p12121
sg8
(lp12122
(dp12123
g11
(lp12124
sg13
V\u005cleft\u005c{-0.142857,0.214286,-0.0714286\u005cright\u005c}
p12125
sg15
I14
sass(g1696
g11777
VLinearSolve
p12126
I0
tp12127
(dp12128
g6
VLinearSolve[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}, {1, 2, 3}]
p12129
sg8
(lp12130
(dp12131
g11
(lp12132
sg13
V\u005cleft\u005c{0,1,2\u005cright\u005c}
p12133
sg15
I1
sass(g1696
g11777
g12126
I1
tp12134
(dp12135
g6
V{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}} . {0, 1, 2}
p12136
sg8
(lp12137
(dp12138
g11
(lp12139
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p12140
sg15
I2
sass(g1696
g11777
g12126
I2
tp12141
(dp12142
g6
VLinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, 1, 1}]
p12143
sg8
(lp12144
(dp12145
g11
(lp12146
sg13
V\u005cleft\u005c{-1,1,0\u005cright\u005c}
p12147
sg15
I3
sass(g1696
g11777
g12126
I3
tp12148
(dp12149
g6
VLinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, -2, 3}]
p12150
sg8
(lp12151
(dp12152
g11
(lp12153
(dp12154
g149
I01
sg150
VLinearSolve
p12155
sg152
Vnosol
p12156
sg154
VLinearSolve::nosol
p12157
sg156
VLinear equation encountered that has no solution.
p12158
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]
p12159
sg15
I4
sass(g1696
g11777
VManhattanDistance
p12160
I0
tp12161
(dp12162
g6
VManhattanDistance[-7, 5]
p12163
sg8
(lp12164
(dp12165
g11
(lp12166
sg13
V12
p12167
sg15
I1
sass(g1696
g11777
g12160
I1
tp12168
(dp12169
g6
VManhattanDistance[{-1, -1}, {1, 1}]
p12170
sg8
(lp12171
(dp12172
g11
(lp12173
sg13
V4
p12174
sg15
I2
sass(g1696
g11777
VMatrixExp
p12175
I0
tp12176
(dp12177
g6
VMatrixExp[{{0, 2}, {0, 1}}]
p12178
sg8
(lp12179
(dp12180
g11
(lp12181
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2+2 E\u005cright\u005c},\u005cleft\u005c{0,E\u005cright\u005c}\u005cright\u005c}
p12182
sg15
I1
sass(g1696
g11777
g12175
I1
tp12183
(dp12184
g6
VMatrixExp[{{1.5, 0.5}, {0.5, 2.0}}]
p12185
sg8
(lp12186
(dp12187
g11
(lp12188
sg13
V\u005cleft\u005c{\u005cleft\u005c{5.16266,3.02952\u005cright\u005c},\u005cleft\u005c{3.02952,8.19218\u005cright\u005c}\u005cright\u005c}
p12189
sg15
I2
sass(g1696
g11777
VMatrixPower
p12190
I0
tp12191
(dp12192
g6
VMatrixPower[{{1, 2}, {1, 1}}, 10]
p12193
sg8
(lp12194
(dp12195
g11
(lp12196
sg13
V\u005cleft\u005c{\u005cleft\u005c{3363,4756\u005cright\u005c},\u005cleft\u005c{2378,3363\u005cright\u005c}\u005cright\u005c}
p12197
sg15
I1
sass(g1696
g11777
g12190
I1
tp12198
(dp12199
g6
VMatrixPower[{{1, 2}, {2, 5}}, -3]
p12200
sg8
(lp12201
(dp12202
g11
(lp12203
sg13
V\u005cleft\u005c{\u005cleft\u005c{169,-70\u005cright\u005c},\u005cleft\u005c{-70,29\u005cright\u005c}\u005cright\u005c}
p12204
sg15
I2
sass(g1696
g11777
VMatrixRank
p12205
I0
tp12206
(dp12207
g6
VMatrixRank[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p12208
sg8
(lp12209
(dp12210
g11
(lp12211
sg13
V2
p12212
sg15
I1
sass(g1696
g11777
g12205
I1
tp12213
(dp12214
g6
VMatrixRank[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p12215
sg8
(lp12216
(dp12217
g11
(lp12218
sg13
V3
p12219
sg15
I2
sass(g1696
g11777
g12205
I2
tp12220
(dp12221
g6
VMatrixRank[{{a, b}, {3 a, 3 b}}]
p12222
sg8
(lp12223
(dp12224
g11
(lp12225
sg13
V1
p12226
sg15
I3
sass(g1696
g11777
VNorm
p12227
I0
tp12228
(dp12229
g6
VNorm[{1, 2, 3, 4}, 2]
p12230
sg8
(lp12231
(dp12232
g11
(lp12233
sg13
V\u005csqrt{30}
p12234
sg15
I1
sass(g1696
g11777
g12227
I1
tp12235
(dp12236
g6
VNorm[{10, 100, 200}, 1]
p12237
sg8
(lp12238
(dp12239
g11
(lp12240
sg13
V310
p12241
sg15
I2
sass(g1696
g11777
g12227
I2
tp12242
(dp12243
g6
VNorm[{a, b, c}]
p12244
sg8
(lp12245
(dp12246
g11
(lp12247
sg13
V\u005csqrt{\u005ctext{Abs}\u005cleft[a\u005cright]^2+\u005ctext{Abs}\u005cleft[b\u005cright]^2+\u005ctext{Abs}\u005cleft[c\u005cright]^2}
p12248
sg15
I3
sass(g1696
g11777
g12227
I3
tp12249
(dp12250
g6
VNorm[{-100, 2, 3, 4}, Infinity]
p12251
sg8
(lp12252
(dp12253
g11
(lp12254
sg13
V100
p12255
sg15
I4
sass(g1696
g11777
g12227
I4
tp12256
(dp12257
g6
VNorm[1 + I]
p12258
sg8
(lp12259
(dp12260
g11
(lp12261
sg13
V\u005csqrt{2}
p12262
sg15
I5
sass(g1696
g11777
VNormalize
p12263
I0
tp12264
(dp12265
g6
VNormalize[{1, 1, 1, 1}]
p12266
sg8
(lp12267
(dp12268
g11
(lp12269
sg13
V\u005cleft\u005c{\u005cfrac{1}{2},\u005cfrac{1}{2},\u005cfrac{1}{2},\u005cfrac{1}{2}\u005cright\u005c}
p12270
sg15
I1
sass(g1696
g11777
g12263
I1
tp12271
(dp12272
g6
VNormalize[1 + I]
p12273
sg8
(lp12274
(dp12275
g11
(lp12276
sg13
V\u005cleft(\u005cfrac{1}{2}+\u005cfrac{I}{2}\u005cright) \u005csqrt{2}
p12277
sg15
I2
sass(g1696
g11777
VNullSpace
p12278
I0
tp12279
(dp12280
g6
VNullSpace[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p12281
sg8
(lp12282
(dp12283
g11
(lp12284
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2,1\u005cright\u005c}\u005cright\u005c}
p12285
sg15
I1
sass(g1696
g11777
g12278
I1
tp12286
(dp12287
g6
VA = {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}};
p12288
sg8
(lp12289
(dp12290
g11
(lp12291
sg13
Nsg15
I2
sass(g1696
g11777
g12278
I2
tp12292
(dp12293
g6
VNullSpace[A]
p12294
sg8
(lp12295
(dp12296
g11
(lp12297
sg13
V\u005cleft\u005c{\u005cright\u005c}
p12298
sg15
I3
sass(g1696
g11777
g12278
I3
tp12299
(dp12300
g6
VMatrixRank[A]
p12301
sg8
(lp12302
(dp12303
g11
(lp12304
sg13
V3
p12305
sg15
I4
sass(g1696
g11777
VPseudoInverse
p12306
I0
tp12307
(dp12308
g6
VPseudoInverse[{{1, 2}, {2, 3}, {3, 4}}]
p12309
sg8
(lp12310
(dp12311
g11
(lp12312
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}
p12313
sg15
I1
sass(g1696
g11777
g12306
I1
tp12314
(dp12315
g6
VPseudoInverse[{{1, 2, 0}, {2, 3, 0}, {3, 4, 1}}]
p12316
sg8
(lp12317
(dp12318
g11
(lp12319
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}
p12320
sg15
I2
sass(g1696
g11777
g12306
I2
tp12321
(dp12322
g6
VPseudoInverse[{{1.0, 2.5}, {2.5, 1.0}}]
p12323
sg8
(lp12324
(dp12325
g11
(lp12326
sg13
V\u005cleft\u005c{\u005cleft\u005c{-0.190476,0.47619\u005cright\u005c},\u005cleft\u005c{0.47619,-0.190476\u005cright\u005c}\u005cright\u005c}
p12327
sg15
I3
sass(g1696
g11777
VQRDecomposition
p12328
I0
tp12329
(dp12330
g6
VQRDecomposition[{{1, 2}, {3, 4}, {5, 6}}]
p12331
sg8
(lp12332
(dp12333
g11
(lp12334
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}
p12335
sg15
I1
sass(g1696
g11777
VRowReduce
p12336
I0
tp12337
(dp12338
g6
VRowReduce[{{1, 0, a}, {1, 1, b}}]
p12339
sg8
(lp12340
(dp12341
g11
(lp12342
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,0,a\u005cright\u005c},\u005cleft\u005c{0,1,-a+b\u005cright\u005c}\u005cright\u005c}
p12343
sg15
I1
sass(g1696
g11777
g12336
I1
tp12344
(dp12345
g6
VRowReduce[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}] // MatrixForm
p12346
sg8
(lp12347
(dp12348
g11
(lp12349
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 0 & -1\u005c\u005c 0 & 1 & 2\u005c\u005c 0 & 0 & 0\u005cend{array}\u005cright)
p12350
sg15
I2
sass(g1696
g11777
VSingularValueDecomposition
p12351
I0
tp12352
(dp12353
g6
VSingularValueDecomposition[{{1.5, 2.0}, {2.5, 3.0}}]
p12354
sg8
(lp12355
(dp12356
g11
(lp12357
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}
p12358
sg15
I1
sass(g1696
g11777
VSquaredEuclideanDistance
p12359
I0
tp12360
(dp12361
g6
VSquaredEuclideanDistance[-7, 5]
p12362
sg8
(lp12363
(dp12364
g11
(lp12365
sg13
V144
p12366
sg15
I1
sass(g1696
g11777
g12359
I1
tp12367
(dp12368
g6
VSquaredEuclideanDistance[{-1, -1}, {1, 1}]
p12369
sg8
(lp12370
(dp12371
g11
(lp12372
sg13
V8
p12373
sg15
I2
sass(g1696
g11777
VTr
p12374
I0
tp12375
(dp12376
g6
VTr[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p12377
sg8
(lp12378
(dp12379
g11
(lp12380
sg13
V15
p12381
sg15
I1
sass(g1696
g11777
g12374
I1
tp12382
(dp12383
g6
VTr[{{a, b, c}, {d, e, f}, {g, h, i}}]
p12384
sg8
(lp12385
(dp12386
g11
(lp12387
sg13
Va+e+i
p12388
sg15
I2
sass(g1696
g11777
VVectorAngle
p12389
I0
tp12390
(dp12391
g6
VVectorAngle[{1, 0}, {0, 1}]
p12392
sg8
(lp12393
(dp12394
g11
(lp12395
sg13
V\u005cfrac{\u005ctext{Pi}}{2}
p12396
sg15
I1
sass(g1696
g11777
g12389
I1
tp12397
(dp12398
g6
VVectorAngle[{1, 2}, {3, 1}]
p12399
sg8
(lp12400
(dp12401
g11
(lp12402
sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p12403
sg15
I2
sass(g1696
g11777
g12389
I2
tp12404
(dp12405
g6
VVectorAngle[{1, 1, 0}, {1, 0, 1}]
p12406
sg8
(lp12407
(dp12408
g11
(lp12409
sg13
V\u005cfrac{\u005ctext{Pi}}{3}
p12410
sg15
I3
sass(g1696
VList Functions
p12411
VAccumulate
p12412
I0
tp12413
(dp12414
g6
VAccumulate[{1, 2, 3}]
p12415
sg8
(lp12416
(dp12417
g11
(lp12418
sg13
V\u005cleft\u005c{1,3,6\u005cright\u005c}
p12419
sg15
I1
sass(g1696
g12411
VAppend
p12420
I0
tp12421
(dp12422
g6
VAppend[{1, 2, 3}, 4]
p12423
sg8
(lp12424
(dp12425
g11
(lp12426
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p12427
sg15
I1
sass(g1696
g12411
g12420
I1
tp12428
(dp12429
g6
VAppend[f[a, b], c]
p12430
sg8
(lp12431
(dp12432
g11
(lp12433
sg13
Vf\u005cleft[a,b,c\u005cright]
p12434
sg15
I2
sass(g1696
g12411
g12420
I2
tp12435
(dp12436
g6
VAppend[{a, b}, {c, d}]
p12437
sg8
(lp12438
(dp12439
g11
(lp12440
sg13
V\u005cleft\u005c{a,b,\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}
p12441
sg15
I3
sass(g1696
g12411
VAppendTo
p12442
I0
tp12443
(dp12444
g6
Vs = {};
p12445
sg8
(lp12446
(dp12447
g11
(lp12448
sg13
Nsg15
I1
sass(g1696
g12411
g12442
I1
tp12449
(dp12450
g6
VAppendTo[s, 1]
p12451
sg8
(lp12452
(dp12453
g11
(lp12454
sg13
V\u005cleft\u005c{1\u005cright\u005c}
p12455
sg15
I2
sass(g1696
g12411
g12442
I2
tp12456
(dp12457
g6
g5386
sg8
(lp12458
(dp12459
g11
(lp12460
sg13
V\u005cleft\u005c{1\u005cright\u005c}
p12461
sg15
I3
sass(g1696
g12411
g12442
I3
tp12462
(dp12463
g6
Vy = f[];
p12464
sg8
(lp12465
(dp12466
g11
(lp12467
sg13
Nsg15
I4
sass(g1696
g12411
g12442
I4
tp12468
(dp12469
g6
VAppendTo[y, x]
p12470
sg8
(lp12471
(dp12472
g11
(lp12473
sg13
Vf\u005cleft[x\u005cright]
p12474
sg15
I5
sass(g1696
g12411
g12442
I5
tp12475
(dp12476
g6
g3550
sg8
(lp12477
(dp12478
g11
(lp12479
sg13
Vf\u005cleft[x\u005cright]
p12480
sg15
I6
sass(g1696
g12411
VArray
p12481
I0
tp12482
(dp12483
g6
VArray[f, 4]
p12484
sg8
(lp12485
(dp12486
g11
(lp12487
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright],f\u005cleft[4\u005cright]\u005cright\u005c}
p12488
sg15
I1
sass(g1696
g12411
g12481
I1
tp12489
(dp12490
g6
VArray[f, {2, 3}]
p12491
sg8
(lp12492
(dp12493
g11
(lp12494
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}
p12495
sg15
I2
sass(g1696
g12411
g12481
I2
tp12496
(dp12497
g6
VArray[f, {2, 3}, 3]
p12498
sg8
(lp12499
(dp12500
g11
(lp12501
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}
p12502
sg15
I3
sass(g1696
g12411
g12481
I3
tp12503
(dp12504
g6
VArray[f, {2, 3}, {4, 6}]
p12505
sg8
(lp12506
(dp12507
g11
(lp12508
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}
p12509
sg15
I4
sass(g1696
g12411
g12481
I4
tp12510
(dp12511
g6
VArray[f, {2, 3}, 1, Plus]
p12512
sg8
(lp12513
(dp12514
g11
(lp12515
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]
p12516
sg15
I5
sass(g1696
g12411
VAssociation
p12517
I0
tp12518
(dp12519
g6
VHead[<|a -> x, b -> y, c -> z|>]
p12520
sg8
(lp12521
(dp12522
g11
(lp12523
sg13
V\u005ctext{Association}
p12524
sg15
I1
sass(g1696
g12411
g12517
I1
tp12525
(dp12526
g6
V<|a -> x, b -> y|>
p12527
sg8
(lp12528
(dp12529
g11
(lp12530
sg13
V\u005ctext{<$\u005cvert$}a->x,b->y\u005ctext{$\u005cvert$>}
p12531
sg15
I2
sass(g1696
g12411
g12517
I2
tp12532
(dp12533
g6
VAssociation[{a -> x, b -> y}]
p12534
sg8
(lp12535
(dp12536
g11
(lp12537
sg13
V\u005ctext{<$\u005cvert$}a->x,b->y\u005ctext{$\u005cvert$>}
p12538
sg15
I3
sass(g1696
g12411
g12517
I3
tp12539
(dp12540
g6
V<|a -> x, b -> y, <|a -> z, d -> t|>|>
p12541
sg8
(lp12542
(dp12543
g11
(lp12544
sg13
V\u005ctext{<$\u005cvert$}a->z,b->y,d->t\u005ctext{$\u005cvert$>}
p12545
sg15
I4
sass(g1696
g12411
VAssociationQ
p12546
I0
tp12547
(dp12548
g6
VAssociationQ[<|a -> 1, b :> 2|>]
p12549
sg8
(lp12550
(dp12551
g11
(lp12552
sg13
V\u005ctext{True}
p12553
sg15
I1
sass(g1696
g12411
g12546
I1
tp12554
(dp12555
g6
VAssociationQ[<|a, b|>]
p12556
sg8
(lp12557
(dp12558
g11
(lp12559
sg13
V\u005ctext{False}
p12560
sg15
I2
sass(g1696
g12411
VCases
p12561
I0
tp12562
(dp12563
g6
VCases[{a, 1, 2.5, "string"}, _Integer|_Real]
p12564
sg8
(lp12565
(dp12566
g11
(lp12567
sg13
V\u005cleft\u005c{1,2.5\u005cright\u005c}
p12568
sg15
I1
sass(g1696
g12411
g12561
I1
tp12569
(dp12570
g6
VCases[_Complex][{1, 2I, 3, 4-I, 5}]
p12571
sg8
(lp12572
(dp12573
g11
(lp12574
sg13
V\u005cleft\u005c{2 I,4-I\u005cright\u005c}
p12575
sg15
I2
sass(g1696
g12411
VCatenate
p12576
I0
tp12577
(dp12578
g6
VCatenate[{{1, 2, 3}, {4, 5}}]
p12579
sg8
(lp12580
(dp12581
g11
(lp12582
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p12583
sg15
I1
sass(g1696
g12411
VCentralMoment
p12584
I0
tp12585
(dp12586
g6
VCentralMoment[{1.1, 1.2, 1.4, 2.1, 2.4}, 4]
p12587
sg8
(lp12588
(dp12589
g11
(lp12590
sg13
V0.100845
p12591
sg15
I1
sass(g1696
g12411
VClusteringComponents
p12592
I0
tp12593
(dp12594
g6
VClusteringComponents[{1, 2, 3, 1, 2, 10, 100}]
p12595
sg8
(lp12596
(dp12597
g11
(lp12598
sg13
V\u005cleft\u005c{1,1,1,1,1,1,2\u005cright\u005c}
p12599
sg15
I1
sass(g1696
g12411
g12592
I1
tp12600
(dp12601
g6
VClusteringComponents[{10, 100, 20}, Method -> "KMeans"]
p12602
sg8
(lp12603
(dp12604
g11
(lp12605
sg13
V\u005cleft\u005c{1,0,1\u005cright\u005c}
p12606
sg15
I2
sass(g1696
g12411
VComplement
p12607
I0
tp12608
(dp12609
g6
VComplement[{a, b, c}, {a, c}]
p12610
sg8
(lp12611
(dp12612
g11
(lp12613
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p12614
sg15
I1
sass(g1696
g12411
g12607
I1
tp12615
(dp12616
g6
VComplement[{a, b, c}, {a, c}, {b}]
p12617
sg8
(lp12618
(dp12619
g11
(lp12620
sg13
V\u005cleft\u005c{\u005cright\u005c}
p12621
sg15
I2
sass(g1696
g12411
g12607
I2
tp12622
(dp12623
g6
VComplement[f[z, y, x, w], f[x], f[x, z]]
p12624
sg8
(lp12625
(dp12626
g11
(lp12627
sg13
Vf\u005cleft[w,y\u005cright]
p12628
sg15
I3
sass(g1696
g12411
g12607
I3
tp12629
(dp12630
g6
VComplement[{c, b, a}]
p12631
sg8
(lp12632
(dp12633
g11
(lp12634
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p12635
sg15
I4
sass(g1696
g12411
VConstantArray
p12636
I0
tp12637
(dp12638
g6
VConstantArray[a, 3]
p12639
sg8
(lp12640
(dp12641
g11
(lp12642
sg13
V\u005cleft\u005c{a,a,a\u005cright\u005c}
p12643
sg15
I1
sass(g1696
g12411
g12636
I1
tp12644
(dp12645
g6
VConstantArray[a, {2, 3}]
p12646
sg8
(lp12647
(dp12648
g11
(lp12649
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,a,a\u005cright\u005c},\u005cleft\u005c{a,a,a\u005cright\u005c}\u005cright\u005c}
p12650
sg15
I2
sass(g1696
g12411
VContainsOnly
p12651
I0
tp12652
(dp12653
g6
VContainsOnly[{b, a, a}, {a, b, c}]
p12654
sg8
(lp12655
(dp12656
g11
(lp12657
sg13
V\u005ctext{True}
p12658
sg15
I1
sass(g1696
g12411
g12651
I1
tp12659
(dp12660
g6
VContainsOnly[{b, a, d}, {a, b, c}]
p12661
sg8
(lp12662
(dp12663
g11
(lp12664
sg13
V\u005ctext{False}
p12665
sg15
I2
sass(g1696
g12411
g12651
I2
tp12666
(dp12667
g6
VContainsOnly[{}, {a, b, c}]
p12668
sg8
(lp12669
(dp12670
g11
(lp12671
sg13
V\u005ctext{True}
p12672
sg15
I3
sass(g1696
g12411
g12651
I5
tp12673
(dp12674
g6
VContainsOnly[{a, 1.0}, {1, a, b}, {SameTest -> Equal}]
p12675
sg8
(lp12676
(dp12677
g11
(lp12678
sg13
V\u005ctext{True}
p12679
sg15
I4
sass(g1696
g12411
VCorrelation
p12680
I0
tp12681
(dp12682
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}]
p12683
sg8
(lp12684
(dp12685
g11
(lp12686
sg13
V0.816421
p12687
sg15
I1
sass(g1696
g12411
VCount
p12688
I0
tp12689
(dp12690
g6
VCount[{3, 7, 10, 7, 5, 3, 7, 10}, 3]
p12691
sg8
(lp12692
(dp12693
g11
(lp12694
sg13
V2
p12695
sg15
I1
sass(g1696
g12411
g12688
I1
tp12696
(dp12697
g6
VCount[{{a, a}, {a, a, a}, a}, a, {2}]
p12698
sg8
(lp12699
(dp12700
g11
(lp12701
sg13
V5
p12702
sg15
I2
sass(g1696
g12411
VCovariance
p12703
I0
tp12704
(dp12705
g6
VCovariance[{0.2, 0.3, 0.1}, {0.3, 0.3, -0.2}]
p12706
sg8
(lp12707
(dp12708
g11
(lp12709
sg13
V0.025
p12710
sg15
I1
sass(g1696
g12411
VDelete
p12711
I0
tp12712
(dp12713
g6
VDelete[{a, b, c, d}, 3]
p12714
sg8
(lp12715
(dp12716
g11
(lp12717
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p12718
sg15
I1
sass(g1696
g12411
g12711
I1
tp12719
(dp12720
g6
VDelete[{a, b, c, d}, -2]
p12721
sg8
(lp12722
(dp12723
g11
(lp12724
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p12725
sg15
I2
sass(g1696
g12411
g12711
I2
tp12726
(dp12727
g6
VDelete[{a, b, c, d}, {{1}, {3}}]
p12728
sg8
(lp12729
(dp12730
g11
(lp12731
sg13
V\u005cleft\u005c{b,d\u005cright\u005c}
p12732
sg15
I3
sass(g1696
g12411
g12711
I3
tp12733
(dp12734
g6
VDelete[{{a, b}, {c, d}}, {2, 1}]
p12735
sg8
(lp12736
(dp12737
g11
(lp12738
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{d\u005cright\u005c}\u005cright\u005c}
p12739
sg15
I4
sass(g1696
g12411
g12711
I4
tp12740
(dp12741
g6
VDelete[{a, b, c}, 0]
p12742
sg8
(lp12743
(dp12744
g11
(lp12745
sg13
V\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]
p12746
sg15
I5
sass(g1696
g12411
g12711
I5
tp12747
(dp12748
g6
VDelete[f[a, b, c, d], 3]
p12749
sg8
(lp12750
(dp12751
g11
(lp12752
sg13
Vf\u005cleft[a,b,d\u005cright]
p12753
sg15
I6
sass(g1696
g12411
g12711
I6
tp12754
(dp12755
g6
VDelete[f[a, b, u + v, c], {3, 0}]
p12756
sg8
(lp12757
(dp12758
g11
(lp12759
sg13
Vf\u005cleft[a,b,u,v,c\u005cright]
p12760
sg15
I7
sass(g1696
g12411
g12711
I7
tp12761
(dp12762
g6
VDelete[{a, b, c}, 0]
p12763
sg8
(lp12764
(dp12765
g11
(lp12766
sg13
V\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]
p12767
sg15
I8
sass(g1696
g12411
g12711
I11
tp12768
(dp12769
g6
VDelete[{a, b, c, d}]
p12770
sg8
(lp12771
(dp12772
g11
(lp12773
(dp12774
g149
I01
sg150
VDelete
p12775
sg152
Vargr
p12776
sg154
VDelete::argr
p12777
sg156
VDelete called with 1 argument; 2 arguments are expected.
p12778
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c}\u005cright]
p12779
sg15
I9
sass(g1696
g12411
g12711
I12
tp12780
(dp12781
g6
VDelete[{a, b, c, d}, 1, 2]
p12782
sg8
(lp12783
(dp12784
g11
(lp12785
(dp12786
g149
I01
sg150
VDelete
p12787
sg152
Vargt
p12788
sg154
VDelete::argt
p12789
sg156
VDelete called with 3 arguments; 2 arguments are expected.
p12790
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},1,2\u005cright]
p12791
sg15
I10
sass(g1696
g12411
g12711
I13
tp12792
(dp12793
g6
VDelete[{a, b, c, d}, 5]
p12794
sg8
(lp12795
(dp12796
g11
(lp12797
(dp12798
g149
I01
sg150
VDelete
p12799
sg152
Vpartw
p12800
sg154
VDelete::partw
p12801
sg156
VPart {5} of {a, b, c, d} does not exist.
p12802
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},5\u005cright]
p12803
sg15
I11
sass(g1696
g12411
g12711
I15
tp12804
(dp12805
g6
VDelete[{a, b, c, d}, {1, n}]
p12806
sg8
(lp12807
(dp12808
g11
(lp12809
(dp12810
g149
I01
sg150
VDelete
p12811
sg152
Vpsl
p12812
sg154
VDelete::psl
p12813
sg156
VPosition specification n in {a, b, c, d} is not a machine-sized integer or a list of machine-sized integers.
p12814
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},\u005cleft\u005c{1,n\u005cright\u005c}\u005cright]
p12815
sg15
I12
sass(g1696
g12411
VDeleteCases
p12816
I0
tp12817
(dp12818
g6
VDeleteCases[{a, 1, 2.5, "string"}, _Integer|_Real]
p12819
sg8
(lp12820
(dp12821
g11
(lp12822
sg13
V\u005cleft\u005c{a,\u005ctext{string}\u005cright\u005c}
p12823
sg15
I1
sass(g1696
g12411
g12816
I1
tp12824
(dp12825
g6
VDeleteCases[{a, b, 1, c, 2, 3}, _Symbol]
p12826
sg8
(lp12827
(dp12828
g11
(lp12829
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p12830
sg15
I2
sass(g1696
g12411
VDeleteDuplicates
p12831
I0
tp12832
(dp12833
g6
VDeleteDuplicates[{1, 7, 8, 4, 3, 4, 1, 9, 9, 2, 1}]
p12834
sg8
(lp12835
(dp12836
g11
(lp12837
sg13
V\u005cleft\u005c{1,7,8,4,3,9,2\u005cright\u005c}
p12838
sg15
I1
sass(g1696
g12411
g12831
I1
tp12839
(dp12840
g6
VDeleteDuplicates[{3,2,1,2,3,4}, Less]
p12841
sg8
(lp12842
(dp12843
g11
(lp12844
sg13
V\u005cleft\u005c{3,2,1\u005cright\u005c}
p12845
sg15
I2
sass(g1696
g12411
VDrop
p12846
I0
tp12847
(dp12848
g6
VDrop[{a, b, c, d}, 3]
p12849
sg8
(lp12850
(dp12851
g11
(lp12852
sg13
V\u005cleft\u005c{d\u005cright\u005c}
p12853
sg15
I1
sass(g1696
g12411
g12846
I1
tp12854
(dp12855
g6
VDrop[{a, b, c, d}, -2]
p12856
sg8
(lp12857
(dp12858
g11
(lp12859
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p12860
sg15
I2
sass(g1696
g12411
g12846
I2
tp12861
(dp12862
g6
VDrop[{a, b, c, d, e}, {2, -2}]
p12863
sg8
(lp12864
(dp12865
g11
(lp12866
sg13
V\u005cleft\u005c{a,e\u005cright\u005c}
p12867
sg15
I3
sass(g1696
g12411
g12846
I3
tp12868
(dp12869
g6
VA = Table[i*10 + j, {i, 4}, {j, 4}]
p12870
sg8
(lp12871
(dp12872
g11
(lp12873
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}
p12874
sg15
I4
sass(g1696
g12411
g12846
I4
tp12875
(dp12876
g6
VDrop[A, {2, 3}, {2, 3}]
p12877
sg8
(lp12878
(dp12879
g11
(lp12880
sg13
V\u005cleft\u005c{\u005cleft\u005c{11,14\u005cright\u005c},\u005cleft\u005c{41,44\u005cright\u005c}\u005cright\u005c}
p12881
sg15
I5
sass(g1696
g12411
VExtract
p12882
I0
tp12883
(dp12884
g6
VExtract[a + b + c, {2}]
p12885
sg8
(lp12886
(dp12887
g11
(lp12888
sg13
g261
sg15
I1
sass(g1696
g12411
g12882
I1
tp12889
(dp12890
g6
VExtract[{{a, b}, {c, d}}, {{1}, {2, 2}}]
p12891
sg8
(lp12892
(dp12893
g11
(lp12894
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},d\u005cright\u005c}
p12895
sg15
I2
sass(g1696
g12411
VFindClusters
p12896
I0
tp12897
(dp12898
g6
VFindClusters[{1, 2, 20, 10, 11, 40, 19, 42}]
p12899
sg8
(lp12900
(dp12901
g11
(lp12902
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,20,10,11,19\u005cright\u005c},\u005cleft\u005c{40,42\u005cright\u005c}\u005cright\u005c}
p12903
sg15
I1
sass(g1696
g12411
g12896
I1
tp12904
(dp12905
g6
VFindClusters[{25, 100, 17, 20}]
p12906
sg8
(lp12907
(dp12908
g11
(lp12909
sg13
V\u005cleft\u005c{\u005cleft\u005c{25,17,20\u005cright\u005c},\u005cleft\u005c{100\u005cright\u005c}\u005cright\u005c}
p12910
sg15
I2
sass(g1696
g12411
g12896
I2
tp12911
(dp12912
g6
VFindClusters[{3, 6, 1, 100, 20, 5, 25, 17, -10, 2}]
p12913
sg8
(lp12914
(dp12915
g11
(lp12916
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}
p12917
sg15
I3
sass(g1696
g12411
g12896
I3
tp12918
(dp12919
g6
VFindClusters[{1, 2, 10, 11, 20, 21}]
p12920
sg8
(lp12921
(dp12922
g11
(lp12923
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{10,11\u005cright\u005c},\u005cleft\u005c{20,21\u005cright\u005c}\u005cright\u005c}
p12924
sg15
I4
sass(g1696
g12411
g12896
I4
tp12925
(dp12926
g6
VFindClusters[{1, 2, 10, 11, 20, 21}, 2]
p12927
sg8
(lp12928
(dp12929
g11
(lp12930
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,10,11\u005cright\u005c},\u005cleft\u005c{20,21\u005cright\u005c}\u005cright\u005c}
p12931
sg15
I5
sass(g1696
g12411
g12896
I5
tp12932
(dp12933
g6
VFindClusters[{1 -> a, 2 -> b, 10 -> c}]
p12934
sg8
(lp12935
(dp12936
g11
(lp12937
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p12938
sg15
I6
sass(g1696
g12411
g12896
I6
tp12939
(dp12940
g6
VFindClusters[{1, 2, 5} -> {a, b, c}]
p12941
sg8
(lp12942
(dp12943
g11
(lp12944
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p12945
sg15
I7
sass(g1696
g12411
g12896
I7
tp12946
(dp12947
g6
VFindClusters[{1, 2, 3, 1, 2, 10, 100}, Method -> "Agglomerate"]
p12948
sg8
(lp12949
(dp12950
g11
(lp12951
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3,1,2,10\u005cright\u005c},\u005cleft\u005c{100\u005cright\u005c}\u005cright\u005c}
p12952
sg15
I8
sass(g1696
g12411
g12896
I8
tp12953
(dp12954
g6
VFindClusters[{1, 2, 3, 10, 17, 18}, Method -> "Agglomerate"]
p12955
sg8
(lp12956
(dp12957
g11
(lp12958
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3\u005cright\u005c},\u005cleft\u005c{10\u005cright\u005c},\u005cleft\u005c{17,18\u005cright\u005c}\u005cright\u005c}
p12959
sg15
I9
sass(g1696
g12411
g12896
I9
tp12960
(dp12961
g6
VFindClusters[{{1}, {5, 6}, {7}, {2, 4}}, DistanceFunction -> (Abs[Length[#1] - Length[#2]]&)]
p12962
sg8
(lp12963
(dp12964
g11
(lp12965
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}
p12966
sg15
I10
sass(g1696
g12411
g12896
I10
tp12967
(dp12968
g6
VFindClusters[{"meep", "heap", "deep", "weep", "sheep", "leap", "keep"}, 3]
p12969
sg8
(lp12970
(dp12971
g11
(lp12972
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}
p12973
sg15
I11
sass(g1696
g12411
VFirst
p12974
I0
tp12975
(dp12976
g6
VFirst[{a, b, c}]
p12977
sg8
(lp12978
(dp12979
g11
(lp12980
sg13
g542
sg15
I1
sass(g1696
g12411
g12974
I1
tp12981
(dp12982
g6
VFirst[a + b + c]
p12983
sg8
(lp12984
(dp12985
g11
(lp12986
sg13
g542
sg15
I2
sass(g1696
g12411
g12974
I2
tp12987
(dp12988
g6
VFirst[x]
p12989
sg8
(lp12990
(dp12991
g11
(lp12992
(dp12993
g149
I01
sg150
VFirst
p12994
sg152
g4756
sg154
VFirst::normal
p12995
sg156
g4758
sasg13
V\u005ctext{First}\u005cleft[x\u005cright]
p12996
sg15
I3
sass(g1696
g12411
VFirstPosition
p12997
I0
tp12998
(dp12999
g6
VFirstPosition[{a, b, a, a, b, c, b}, b]
p13000
sg8
(lp13001
(dp13002
g11
(lp13003
sg13
V\u005cleft\u005c{2\u005cright\u005c}
p13004
sg15
I1
sass(g1696
g12411
g12997
I1
tp13005
(dp13006
g6
VFirstPosition[{{a, a, b}, {b, a, a}, {a, b, a}}, b]
p13007
sg8
(lp13008
(dp13009
g11
(lp13010
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p13011
sg15
I2
sass(g1696
g12411
g12997
I2
tp13012
(dp13013
g6
VFirstPosition[{x, y, z}, b]
p13014
sg8
(lp13015
(dp13016
g11
(lp13017
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotFound}\u005cright]
p13018
sg15
I3
sass(g1696
g12411
g12997
I3
tp13019
(dp13020
g6
VFirstPosition[{1 + x^2, 5, x^4, a + (1 + x^2)^2}, x^2]
p13021
sg8
(lp13022
(dp13023
g11
(lp13024
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p13025
sg15
I4
sass(g1696
g12411
VFold
p13026
I0
tp13027
(dp13028
g6
VFold[Plus, 5, {1, 1, 1}]
p13029
sg8
(lp13030
(dp13031
g11
(lp13032
sg13
V8
p13033
sg15
I1
sass(g1696
g12411
g13026
I1
tp13034
(dp13035
g6
VFold[f, 5, {1, 2, 3}]
p13036
sg8
(lp13037
(dp13038
g11
(lp13039
sg13
Vf\u005cleft[f\u005cleft[f\u005cleft[5,1\u005cright],2\u005cright],3\u005cright]
p13040
sg15
I2
sass(g1696
g12411
VFoldList
p13041
I0
tp13042
(dp13043
g6
VFoldList[f, x, {1, 2, 3}]
p13044
sg8
(lp13045
(dp13046
g11
(lp13047
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}
p13048
sg15
I1
sass(g1696
g12411
g13041
I1
tp13049
(dp13050
g6
VFoldList[Times, {1, 2, 3}]
p13051
sg8
(lp13052
(dp13053
g11
(lp13054
sg13
V\u005cleft\u005c{1,2,6\u005cright\u005c}
p13055
sg15
I2
sass(g1696
g12411
VGather
p13056
I0
tp13057
(dp13058
g6
VGather[{1, 7, 3, 7, 2, 3, 9}]
p13059
sg8
(lp13060
(dp13061
g11
(lp13062
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}
p13063
sg15
I1
sass(g1696
g12411
g13056
I1
tp13064
(dp13065
g6
VGather[{1/3, 2/6, 1/9}]
p13066
sg8
(lp13067
(dp13068
g11
(lp13069
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{1}{3},\u005cfrac{1}{3}\u005cright\u005c},\u005cleft\u005c{\u005cfrac{1}{9}\u005cright\u005c}\u005cright\u005c}
p13070
sg15
I2
sass(g1696
g12411
VGatherBy
p13071
I0
tp13072
(dp13073
g6
VGatherBy[{{1, 3}, {2, 2}, {1, 1}}, Total]
p13074
sg8
(lp13075
(dp13076
g11
(lp13077
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}
p13078
sg15
I1
sass(g1696
g12411
g13071
I1
tp13079
(dp13080
g6
VGatherBy[{"xy", "abc", "ab"}, StringLength]
p13081
sg8
(lp13082
(dp13083
g11
(lp13084
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{xy},\u005ctext{ab}\u005cright\u005c},\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}\u005cright\u005c}
p13085
sg15
I2
sass(g1696
g12411
g13071
I2
tp13086
(dp13087
g6
VGatherBy[{{2, 0}, {1, 5}, {1, 0}}, Last]
p13088
sg8
(lp13089
(dp13090
g11
(lp13091
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}
p13092
sg15
I3
sass(g1696
g12411
g13071
I3
tp13093
(dp13094
g6
VGatherBy[{{1, 2}, {2, 1}, {3, 5}, {5, 1}, {2, 2, 2}}, {Total, Length}]
p13095
sg8
(lp13096
(dp13097
g11
(lp13098
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}
p13099
sg15
I4
sass(g1696
g12411
VIntersection
p13100
I0
tp13101
(dp13102
g6
VIntersection[{1000, 100, 10, 1}, {1, 5, 10, 15}]
p13103
sg8
(lp13104
(dp13105
g11
(lp13106
sg13
V\u005cleft\u005c{1,10\u005cright\u005c}
p13107
sg15
I1
sass(g1696
g12411
g13100
I1
tp13108
(dp13109
g6
VIntersection[{{a, b}, {x, y}}, {{x, x}, {x, y}, {x, z}}]
p13110
sg8
(lp13111
(dp13112
g11
(lp13113
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c}\u005cright\u005c}
p13114
sg15
I2
sass(g1696
g12411
g13100
I2
tp13115
(dp13116
g6
VIntersection[{c, b, a}]
p13117
sg8
(lp13118
(dp13119
g11
(lp13120
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p13121
sg15
I3
sass(g1696
g12411
g13100
I3
tp13122
(dp13123
g6
VIntersection[{1, 2, 3}, {2, 3, 4}, SameTest->Less]
p13124
sg8
(lp13125
(dp13126
g11
(lp13127
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p13128
sg15
I4
sass(g1696
g12411
VJoin
p13129
I0
tp13130
(dp13131
g6
VJoin[{a, b}, {c, d, e}]
p13132
sg8
(lp13133
(dp13134
g11
(lp13135
sg13
V\u005cleft\u005c{a,b,c,d,e\u005cright\u005c}
p13136
sg15
I1
sass(g1696
g12411
g13129
I1
tp13137
(dp13138
g6
VJoin[{{a, b}, {c, d}}, {{1, 2}, {3, 4}}]
p13139
sg8
(lp13140
(dp13141
g11
(lp13142
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}
p13143
sg15
I2
sass(g1696
g12411
g13129
I2
tp13144
(dp13145
g6
VJoin[a + b, c + d, e + f]
p13146
sg8
(lp13147
(dp13148
g11
(lp13149
sg13
Va+b+c+d+e+f
p13150
sg15
I3
sass(g1696
g12411
g13129
I3
tp13151
(dp13152
g6
VJoin[a + b, c * d]
p13153
sg8
(lp13154
(dp13155
g11
(lp13156
(dp13157
g149
I01
sg150
VJoin
p13158
sg152
Vheads
p13159
sg154
VJoin::heads
p13160
sg156
VHeads Plus and Times are expected to be the same.
p13161
sasg13
V\u005ctext{Join}\u005cleft[a+b,c d\u005cright]
p13162
sg15
I4
sass(g1696
g12411
VKeys
p13163
I0
tp13164
(dp13165
g6
VKeys[<|a -> x, b -> y|>]
p13166
sg8
(lp13167
(dp13168
g11
(lp13169
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p13170
sg15
I1
sass(g1696
g12411
g13163
I1
tp13171
(dp13172
g6
VKeys[{a -> x, b -> y}]
p13173
sg8
(lp13174
(dp13175
g11
(lp13176
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p13177
sg15
I2
sass(g1696
g12411
g13163
I2
tp13178
(dp13179
g6
VKeys[{<|a -> x, b -> y|>, {w -> z, {}}}]
p13180
sg8
(lp13181
(dp13182
g11
(lp13183
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{w,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p13184
sg15
I3
sass(g1696
g12411
g13163
I3
tp13185
(dp13186
g6
VKeys[{c -> z, b -> y, a -> x}]
p13187
sg8
(lp13188
(dp13189
g11
(lp13190
sg13
V\u005cleft\u005c{c,b,a\u005cright\u005c}
p13191
sg15
I4
sass(g1696
g12411
VKurtosis
p13192
I0
tp13193
(dp13194
g6
VKurtosis[{1.1, 1.2, 1.4, 2.1, 2.4}]
p13195
sg8
(lp13196
(dp13197
g11
(lp13198
sg13
V1.42098
p13199
sg15
I1
sass(g1696
g12411
VLast
p13200
I0
tp13201
(dp13202
g6
VLast[{a, b, c}]
p13203
sg8
(lp13204
(dp13205
g11
(lp13206
sg13
g444
sg15
I1
sass(g1696
g12411
g13200
I1
tp13207
(dp13208
g6
VLast[x]
p13209
sg8
(lp13210
(dp13211
g11
(lp13212
(dp13213
g149
I01
sg150
VLast
p13214
sg152
g4756
sg154
VLast::normal
p13215
sg156
g4758
sasg13
V\u005ctext{Last}\u005cleft[x\u005cright]
p13216
sg15
I2
sass(g1696
g12411
VLeafCount
p13217
I0
tp13218
(dp13219
g6
VLeafCount[1 + x + y^a]
p13220
sg8
(lp13221
(dp13222
g11
(lp13223
sg13
V6
p13224
sg15
I1
sass(g1696
g12411
g13217
I1
tp13225
(dp13226
g6
VLeafCount[f[x, y]]
p13227
sg8
(lp13228
(dp13229
g11
(lp13230
sg13
V3
p13231
sg15
I2
sass(g1696
g12411
g13217
I2
tp13232
(dp13233
g6
VLeafCount[{1 / 3, 1 + I}]
p13234
sg8
(lp13235
(dp13236
g11
(lp13237
sg13
V7
p13238
sg15
I3
sass(g1696
g12411
g13217
I3
tp13239
(dp13240
g6
VLeafCount[Sqrt[2]]
p13241
sg8
(lp13242
(dp13243
g11
(lp13244
sg13
V5
p13245
sg15
I4
sass(g1696
g12411
g13217
I4
tp13246
(dp13247
g6
VLeafCount[100!]
p13248
sg8
(lp13249
(dp13250
g11
(lp13251
sg13
V1
p13252
sg15
I5
sass(g1696
g12411
VLength
p13253
I0
tp13254
(dp13255
g6
VLength[{1, 2, 3}]
p13256
sg8
(lp13257
(dp13258
g11
(lp13259
sg13
V3
p13260
sg15
I1
sass(g1696
g12411
g13253
I1
tp13261
(dp13262
g6
VLength[Exp[x]]
p13263
sg8
(lp13264
(dp13265
g11
(lp13266
sg13
V2
p13267
sg15
I2
sass(g1696
g12411
g13253
I2
tp13268
(dp13269
g6
VFullForm[Exp[x]]
p13270
sg8
(lp13271
(dp13272
g11
(lp13273
sg13
V\u005ctext{Power}\u005cleft[E, x\u005cright]
p13274
sg15
I3
sass(g1696
g12411
g13253
I3
tp13275
(dp13276
g6
VLength[a]
p13277
sg8
(lp13278
(dp13279
g11
(lp13280
sg13
V0
p13281
sg15
I4
sass(g1696
g12411
g13253
I4
tp13282
(dp13283
g6
VLength[1/3]
p13284
sg8
(lp13285
(dp13286
g11
(lp13287
sg13
V0
p13288
sg15
I5
sass(g1696
g12411
g13253
I5
tp13289
(dp13290
g6
VFullForm[1/3]
p13291
sg8
(lp13292
(dp13293
g11
(lp13294
sg13
V\u005ctext{Rational}\u005cleft[1, 3\u005cright]
p13295
sg15
I6
sass(g1696
g12411
VLevel
p13296
I0
tp13297
(dp13298
g6
VLevel[a + b ^ 3 * f[2 x ^ 2], {-1}]
p13299
sg8
(lp13300
(dp13301
g11
(lp13302
sg13
V\u005cleft\u005c{a,b,3,2,x,2\u005cright\u005c}
p13303
sg15
I1
sass(g1696
g12411
g13296
I1
tp13304
(dp13305
g6
VLevel[{{{{a}}}}, 3]
p13306
sg8
(lp13307
(dp13308
g11
(lp13309
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}
p13310
sg15
I2
sass(g1696
g12411
g13296
I2
tp13311
(dp13312
g6
VLevel[{{{{a}}}}, -4]
p13313
sg8
(lp13314
(dp13315
g11
(lp13316
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p13317
sg15
I3
sass(g1696
g12411
g13296
I3
tp13318
(dp13319
g6
VLevel[{{{{a}}}}, -5]
p13320
sg8
(lp13321
(dp13322
g11
(lp13323
sg13
V\u005cleft\u005c{\u005cright\u005c}
p13324
sg15
I4
sass(g1696
g12411
g13296
I4
tp13325
(dp13326
g6
VLevel[h0[h1[h2[h3[a]]]], {0, -1}]
p13327
sg8
(lp13328
(dp13329
g11
(lp13330
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}
p13331
sg15
I5
sass(g1696
g12411
g13296
I5
tp13332
(dp13333
g6
VLevel[{{{{a}}}}, 3, Heads -> True]
p13334
sg8
(lp13335
(dp13336
g11
(lp13337
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}
p13338
sg15
I6
sass(g1696
g12411
g13296
I6
tp13339
(dp13340
g6
VLevel[x^2 + y^3, 3, Heads -> True]
p13341
sg8
(lp13342
(dp13343
g11
(lp13344
sg13
V\u005cleft\u005c{\u005ctext{Plus},\u005ctext{Power},x,2,x^2,\u005ctext{Power},y,3,y^3\u005cright\u005c}
p13345
sg15
I7
sass(g1696
g12411
g13296
I7
tp13346
(dp13347
g6
VLevel[a ^ 2 + 2 * b, {-1}, Heads -> True]
p13348
sg8
(lp13349
(dp13350
g11
(lp13351
sg13
V\u005cleft\u005c{\u005ctext{Plus},\u005ctext{Power},a,2,\u005ctext{Times},2,b\u005cright\u005c}
p13352
sg15
I8
sass(g1696
g12411
g13296
I8
tp13353
(dp13354
g6
VLevel[f[g[h]][x], {-1}, Heads -> True]
p13355
sg8
(lp13356
(dp13357
g11
(lp13358
sg13
V\u005cleft\u005c{f,g,h,x\u005cright\u005c}
p13359
sg15
I9
sass(g1696
g12411
g13296
I9
tp13360
(dp13361
g6
VLevel[f[g[h]][x], {-2, -1}, Heads -> True]
p13362
sg8
(lp13363
(dp13364
g11
(lp13365
sg13
V\u005cleft\u005c{f,g,h,g\u005cleft[h\u005cright],x,f\u005cleft[g\u005cleft[h\u005cright]\u005cright]\u005cleft[x\u005cright]\u005cright\u005c}
p13366
sg15
I10
sass(g1696
g12411
VLevelQ
p13367
I0
tp13368
(dp13369
g6
VLevelQ[2]
p13370
sg8
(lp13371
(dp13372
g11
(lp13373
sg13
V\u005ctext{True}
p13374
sg15
I1
sass(g1696
g12411
g13367
I1
tp13375
(dp13376
g6
VLevelQ[{2, 4}]
p13377
sg8
(lp13378
(dp13379
g11
(lp13380
sg13
V\u005ctext{True}
p13381
sg15
I2
sass(g1696
g12411
g13367
I2
tp13382
(dp13383
g6
VLevelQ[Infinity]
p13384
sg8
(lp13385
(dp13386
g11
(lp13387
sg13
V\u005ctext{True}
p13388
sg15
I3
sass(g1696
g12411
g13367
I3
tp13389
(dp13390
g6
VLevelQ[a + b]
p13391
sg8
(lp13392
(dp13393
g11
(lp13394
sg13
V\u005ctext{False}
p13395
sg15
I4
sass(g1696
g12411
VList
p13396
I0
tp13397
(dp13398
g6
VHead[{1, 2, 3}]
p13399
sg8
(lp13400
(dp13401
g11
(lp13402
sg13
V\u005ctext{List}
p13403
sg15
I1
sass(g1696
g12411
g13396
I1
tp13404
(dp13405
g6
V{{a, b, {c, d}}}
p13406
sg8
(lp13407
(dp13408
g11
(lp13409
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b,\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p13410
sg15
I2
sass(g1696
g12411
VListQ
p13411
I0
tp13412
(dp13413
g6
VListQ[{1, 2, 3}]
p13414
sg8
(lp13415
(dp13416
g11
(lp13417
sg13
V\u005ctext{True}
p13418
sg15
I1
sass(g1696
g12411
g13411
I1
tp13419
(dp13420
g6
VListQ[{{1, 2}, {3, 4}}]
p13421
sg8
(lp13422
(dp13423
g11
(lp13424
sg13
V\u005ctext{True}
p13425
sg15
I2
sass(g1696
g12411
g13411
I2
tp13426
(dp13427
g6
VListQ[x]
p13428
sg8
(lp13429
(dp13430
g11
(lp13431
sg13
V\u005ctext{False}
p13432
sg15
I3
sass(g1696
g12411
VMean
p13433
I0
tp13434
(dp13435
g6
VMean[{26, 64, 36}]
p13436
sg8
(lp13437
(dp13438
g11
(lp13439
sg13
V42
p13440
sg15
I1
sass(g1696
g12411
g13433
I1
tp13441
(dp13442
g6
VMean[{1, 1, 2, 3, 5, 8}]
p13443
sg8
(lp13444
(dp13445
g11
(lp13446
sg13
V\u005cfrac{10}{3}
p13447
sg15
I2
sass(g1696
g12411
g13433
I2
tp13448
(dp13449
g6
VMean[{a, b}]
p13450
sg8
(lp13451
(dp13452
g11
(lp13453
sg13
V\u005cfrac{a+b}{2}
p13454
sg15
I3
sass(g1696
g12411
VMedian
p13455
I0
tp13456
(dp13457
g6
VMedian[{26, 64, 36}]
p13458
sg8
(lp13459
(dp13460
g11
(lp13461
sg13
V36
p13462
sg15
I1
sass(g1696
g12411
g13455
I1
tp13463
(dp13464
g6
VMedian[{-11, 38, 501, 1183}]
p13465
sg8
(lp13466
(dp13467
g11
(lp13468
sg13
V\u005cfrac{539}{2}
p13469
sg15
I2
sass(g1696
g12411
g13455
I2
tp13470
(dp13471
g6
VMedian[{{100, 1, 10, 50}, {-1, 1, -2, 2}}]
p13472
sg8
(lp13473
(dp13474
g11
(lp13475
sg13
V\u005cleft\u005c{\u005cfrac{99}{2},1,4,26\u005cright\u005c}
p13476
sg15
I3
sass(g1696
g12411
VMemberQ
p13477
I0
tp13478
(dp13479
g6
VMemberQ[{a, b, c}, b]
p13480
sg8
(lp13481
(dp13482
g11
(lp13483
sg13
V\u005ctext{True}
p13484
sg15
I1
sass(g1696
g12411
g13477
I1
tp13485
(dp13486
g6
VMemberQ[{a, b, c}, d]
p13487
sg8
(lp13488
(dp13489
g11
(lp13490
sg13
V\u005ctext{False}
p13491
sg15
I2
sass(g1696
g12411
g13477
I2
tp13492
(dp13493
g6
VMemberQ[{"a", b, f[x]}, _?NumericQ]
p13494
sg8
(lp13495
(dp13496
g11
(lp13497
sg13
V\u005ctext{False}
p13498
sg15
I3
sass(g1696
g12411
g13477
I3
tp13499
(dp13500
g6
VMemberQ[_List][{{}}]
p13501
sg8
(lp13502
(dp13503
g11
(lp13504
sg13
V\u005ctext{True}
p13505
sg15
I4
sass(g1696
g12411
VMost
p13506
I0
tp13507
(dp13508
g6
VMost[{a, b, c}]
p13509
sg8
(lp13510
(dp13511
g11
(lp13512
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p13513
sg15
I1
sass(g1696
g12411
g13506
I1
tp13514
(dp13515
g6
VMost[a + b + c]
p13516
sg8
(lp13517
(dp13518
g11
(lp13519
sg13
Va+b
p13520
sg15
I2
sass(g1696
g12411
g13506
I2
tp13521
(dp13522
g6
VMost[x]
p13523
sg8
(lp13524
(dp13525
g11
(lp13526
(dp13527
g149
I01
sg150
VMost
p13528
sg152
g4756
sg154
VMost::normal
p13529
sg156
g4758
sasg13
V\u005ctext{Most}\u005cleft[x\u005cright]
p13530
sg15
I3
sass(g1696
g12411
VNearest
p13531
I0
tp13532
(dp13533
g6
VNearest[{5, 2.5, 10, 11, 15, 8.5, 14}, 12]
p13534
sg8
(lp13535
(dp13536
g11
(lp13537
sg13
V\u005cleft\u005c{11\u005cright\u005c}
p13538
sg15
I1
sass(g1696
g12411
g13531
I1
tp13539
(dp13540
g6
VNearest[{5, 2.5, 10, 11, 15, 8.5, 14}, 12, {All, 5}]
p13541
sg8
(lp13542
(dp13543
g11
(lp13544
sg13
V\u005cleft\u005c{11,10,14\u005cright\u005c}
p13545
sg15
I2
sass(g1696
g12411
g13531
I2
tp13546
(dp13547
g6
VNearest[{Blue -> "blue", White -> "white", Red -> "red", Green -> "green"}, {Orange, Gray}]
p13548
sg8
(lp13549
(dp13550
g11
(lp13551
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{red}\u005cright\u005c},\u005cleft\u005c{\u005ctext{white}\u005cright\u005c}\u005cright\u005c}
p13552
sg15
I3
sass(g1696
g12411
g13531
I3
tp13553
(dp13554
g6
VNearest[{{0, 1}, {1, 2}, {2, 3}} -> {a, b, c}, {1.1, 2}]
p13555
sg8
(lp13556
(dp13557
g11
(lp13558
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p13559
sg15
I4
sass(g1696
g12411
VPadLeft
p13560
I0
tp13561
(dp13562
g6
VPadLeft[{1, 2, 3}, 5]
p13563
sg8
(lp13564
(dp13565
g11
(lp13566
sg13
V\u005cleft\u005c{0,0,1,2,3\u005cright\u005c}
p13567
sg15
I1
sass(g1696
g12411
g13560
I1
tp13568
(dp13569
g6
VPadLeft[x[a, b, c], 5]
p13570
sg8
(lp13571
(dp13572
g11
(lp13573
sg13
Vx\u005cleft[0,0,a,b,c\u005cright]
p13574
sg15
I2
sass(g1696
g12411
g13560
I2
tp13575
(dp13576
g6
VPadLeft[{1, 2, 3}, 2]
p13577
sg8
(lp13578
(dp13579
g11
(lp13580
sg13
V\u005cleft\u005c{2,3\u005cright\u005c}
p13581
sg15
I3
sass(g1696
g12411
g13560
I3
tp13582
(dp13583
g6
VPadLeft[{{}, {1, 2}, {1, 2, 3}}]
p13584
sg8
(lp13585
(dp13586
g11
(lp13587
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}
p13588
sg15
I4
sass(g1696
g12411
g13560
I4
tp13589
(dp13590
g6
VPadLeft[{1, 2, 3}, 10, {a, b, c}, 2]
p13591
sg8
(lp13592
(dp13593
g11
(lp13594
sg13
V\u005cleft\u005c{b,c,a,b,c,1,2,3,a,b\u005cright\u005c}
p13595
sg15
I5
sass(g1696
g12411
g13560
I5
tp13596
(dp13597
g6
VPadLeft[{{1, 2, 3}}, {5, 2}, x, 1]
p13598
sg8
(lp13599
(dp13600
g11
(lp13601
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}
p13602
sg15
I6
sass(g1696
g12411
VPadRight
p13603
I0
tp13604
(dp13605
g6
VPadRight[{1, 2, 3}, 5]
p13606
sg8
(lp13607
(dp13608
g11
(lp13609
sg13
V\u005cleft\u005c{1,2,3,0,0\u005cright\u005c}
p13610
sg15
I1
sass(g1696
g12411
g13603
I1
tp13611
(dp13612
g6
VPadRight[x[a, b, c], 5]
p13613
sg8
(lp13614
(dp13615
g11
(lp13616
sg13
Vx\u005cleft[a,b,c,0,0\u005cright]
p13617
sg15
I2
sass(g1696
g12411
g13603
I2
tp13618
(dp13619
g6
VPadRight[{1, 2, 3}, 2]
p13620
sg8
(lp13621
(dp13622
g11
(lp13623
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p13624
sg15
I3
sass(g1696
g12411
g13603
I3
tp13625
(dp13626
g6
VPadRight[{{}, {1, 2}, {1, 2, 3}}]
p13627
sg8
(lp13628
(dp13629
g11
(lp13630
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}
p13631
sg15
I4
sass(g1696
g12411
g13603
I4
tp13632
(dp13633
g6
VPadRight[{1, 2, 3}, 10, {a, b, c}, 2]
p13634
sg8
(lp13635
(dp13636
g11
(lp13637
sg13
V\u005cleft\u005c{b,c,1,2,3,a,b,c,a,b\u005cright\u005c}
p13638
sg15
I5
sass(g1696
g12411
g13603
I5
tp13639
(dp13640
g6
VPadRight[{{1, 2, 3}}, {5, 2}, x, 1]
p13641
sg8
(lp13642
(dp13643
g11
(lp13644
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}
p13645
sg15
I6
sass(g1696
g12411
VPart
p13646
I0
tp13647
(dp13648
g6
VA = {a, b, c, d};
p13649
sg8
(lp13650
(dp13651
g11
(lp13652
sg13
Nsg15
I1
sass(g1696
g12411
g13646
I1
tp13653
(dp13654
g6
VA[[3]]
p13655
sg8
(lp13656
(dp13657
g11
(lp13658
sg13
g444
sg15
I2
sass(g1696
g12411
g13646
I2
tp13659
(dp13660
g6
V{a, b, c}[[-2]]
p13661
sg8
(lp13662
(dp13663
g11
(lp13664
sg13
g261
sg15
I3
sass(g1696
g12411
g13646
I3
tp13665
(dp13666
g6
V(a + b + c)[[2]]
p13667
sg8
(lp13668
(dp13669
g11
(lp13670
sg13
g261
sg15
I4
sass(g1696
g12411
g13646
I4
tp13671
(dp13672
g6
V(a + b + c)[[0]]
p13673
sg8
(lp13674
(dp13675
g11
(lp13676
sg13
V\u005ctext{Plus}
p13677
sg15
I5
sass(g1696
g12411
g13646
I5
tp13678
(dp13679
g6
VM = {{a, b}, {c, d}};
p13680
sg8
(lp13681
(dp13682
g11
(lp13683
sg13
Nsg15
I6
sass(g1696
g12411
g13646
I6
tp13684
(dp13685
g6
VM[[1, 2]]
p13686
sg8
(lp13687
(dp13688
g11
(lp13689
sg13
g261
sg15
I7
sass(g1696
g12411
g13646
I7
tp13690
(dp13691
g6
V{1, 2, 3, 4}[[2;;4]]
p13692
sg8
(lp13693
(dp13694
g11
(lp13695
sg13
V\u005cleft\u005c{2,3,4\u005cright\u005c}
p13696
sg15
I8
sass(g1696
g12411
g13646
I8
tp13697
(dp13698
g6
V{1, 2, 3, 4}[[2;;-1]]
p13699
sg8
(lp13700
(dp13701
g11
(lp13702
sg13
V\u005cleft\u005c{2,3,4\u005cright\u005c}
p13703
sg15
I9
sass(g1696
g12411
g13646
I9
tp13704
(dp13705
g6
V{a, b, c, d}[[{1, 3, 3}]]
p13706
sg8
(lp13707
(dp13708
g11
(lp13709
sg13
V\u005cleft\u005c{a,c,c\u005cright\u005c}
p13710
sg15
I10
sass(g1696
g12411
g13646
I10
tp13711
(dp13712
g6
VB = {{a, b, c}, {d, e, f}, {g, h, i}};
p13713
sg8
(lp13714
(dp13715
g11
(lp13716
sg13
Nsg15
I11
sass(g1696
g12411
g13646
I11
tp13717
(dp13718
g6
VB[[;;, 2]]
p13719
sg8
(lp13720
(dp13721
g11
(lp13722
sg13
V\u005cleft\u005c{b,e,h\u005cright\u005c}
p13723
sg15
I12
sass(g1696
g12411
g13646
I12
tp13724
(dp13725
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p13726
sg8
(lp13727
(dp13728
g11
(lp13729
sg13
Nsg15
I13
sass(g1696
g12411
g13646
I13
tp13730
(dp13731
g6
VB[[{1, 3}, -2;;-1]]
p13732
sg8
(lp13733
(dp13734
g11
(lp13735
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,3\u005cright\u005c},\u005cleft\u005c{8,9\u005cright\u005c}\u005cright\u005c}
p13736
sg15
I14
sass(g1696
g12411
g13646
I14
tp13737
(dp13738
g6
V(a+b+c+d)[[-1;;-2]]
p13739
sg8
(lp13740
(dp13741
g11
(lp13742
sg13
V0
p13743
sg15
I15
sass(g1696
g12411
g13646
I15
tp13744
(dp13745
g6
Vx[[2]]
p13746
sg8
(lp13747
(dp13748
g11
(lp13749
(dp13750
g149
I01
sg150
VPart
p13751
sg152
Vpartd
p13752
sg154
VPart::partd
p13753
sg156
VPart specification is longer than depth of object.
p13754
sasg13
Vx\u005cleft[\u005cleft[2\u005cright]\u005cright]
p13755
sg15
I16
sass(g1696
g12411
g13646
I16
tp13756
(dp13757
g6
VB[[;;, 2]] = {10, 11, 12}
p13758
sg8
(lp13759
(dp13760
g11
(lp13761
sg13
V\u005cleft\u005c{10,11,12\u005cright\u005c}
p13762
sg15
I17
sass(g1696
g12411
g13646
I17
tp13763
(dp13764
g6
g4441
sg8
(lp13765
(dp13766
g11
(lp13767
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}
p13768
sg15
I18
sass(g1696
g12411
g13646
I18
tp13769
(dp13770
g6
VB[[;;, 3]] = 13
p13771
sg8
(lp13772
(dp13773
g11
(lp13774
sg13
V13
p13775
sg15
I19
sass(g1696
g12411
g13646
I19
tp13776
(dp13777
g6
g4441
sg8
(lp13778
(dp13779
g11
(lp13780
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}
p13781
sg15
I20
sass(g1696
g12411
g13646
I20
tp13782
(dp13783
g6
VB[[1;;-2]] = t;
p13784
sg8
(lp13785
(dp13786
g11
(lp13787
sg13
Nsg15
I21
sass(g1696
g12411
g13646
I21
tp13788
(dp13789
g6
g4441
sg8
(lp13790
(dp13791
g11
(lp13792
sg13
V\u005cleft\u005c{t,t,\u005cleft\u005c{7,12,13\u005cright\u005c}\u005cright\u005c}
p13793
sg15
I22
sass(g1696
g12411
g13646
I22
tp13794
(dp13795
g6
VF = Table[i*j*k, {i, 1, 3}, {j, 1, 3}, {k, 1, 3}];
p13796
sg8
(lp13797
(dp13798
g11
(lp13799
sg13
Nsg15
I23
sass(g1696
g12411
g13646
I23
tp13800
(dp13801
g6
VF[[;; All, 2 ;; 3, 2]] = t;
p13802
sg8
(lp13803
(dp13804
g11
(lp13805
sg13
Nsg15
I24
sass(g1696
g12411
g13646
I24
tp13806
(dp13807
g6
VF
p13808
sg8
(lp13809
(dp13810
g11
(lp13811
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}
p13812
sg15
I25
sass(g1696
g12411
g13646
I25
tp13813
(dp13814
g6
VF[[;; All, 1 ;; 2, 3 ;; 3]] = k;
p13815
sg8
(lp13816
(dp13817
g11
(lp13818
sg13
Nsg15
I26
sass(g1696
g12411
g13646
I26
tp13819
(dp13820
g6
g13808
sg8
(lp13821
(dp13822
g11
(lp13823
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}
p13824
sg15
I27
sass(g1696
g12411
g13646
I27
tp13825
(dp13826
g6
VA[[1]] + B[[2]] + C[[3]] // Hold // FullForm
p13827
sg8
(lp13828
(dp13829
g11
(lp13830
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]
p13831
sg15
I28
sass(g1696
g12411
VPartition
p13832
I0
tp13833
(dp13834
g6
VPartition[{a, b, c, d, e, f}, 2]
p13835
sg8
(lp13836
(dp13837
g11
(lp13838
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c},\u005cleft\u005c{e,f\u005cright\u005c}\u005cright\u005c}
p13839
sg15
I1
sass(g1696
g12411
g13832
I1
tp13840
(dp13841
g6
VPartition[{a, b, c, d, e, f}, 3, 1]
p13842
sg8
(lp13843
(dp13844
g11
(lp13845
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}
p13846
sg15
I2
sass(g1696
g12411
VPermutations
p13847
I0
tp13848
(dp13849
g6
VPermutations[{y, 1, x}]
p13850
sg8
(lp13851
(dp13852
g11
(lp13853
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}
p13854
sg15
I1
sass(g1696
g12411
g13847
I1
tp13855
(dp13856
g6
VPermutations[{a, b, b}]
p13857
sg8
(lp13858
(dp13859
g11
(lp13860
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}
p13861
sg15
I2
sass(g1696
g12411
g13847
I2
tp13862
(dp13863
g6
VPermutations[{1, 2, 3}, 2]
p13864
sg8
(lp13865
(dp13866
g11
(lp13867
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}
p13868
sg15
I3
sass(g1696
g12411
g13847
I3
tp13869
(dp13870
g6
VPermutations[{1, 2, 3}, {2}]
p13871
sg8
(lp13872
(dp13873
g11
(lp13874
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}
p13875
sg15
I4
sass(g1696
g12411
VPick
p13876
I0
tp13877
(dp13878
g6
VPick[{a, b, c}, {False, True, False}]
p13879
sg8
(lp13880
(dp13881
g11
(lp13882
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p13883
sg15
I1
sass(g1696
g12411
g13876
I1
tp13884
(dp13885
g6
VPick[f[g[1, 2], h[3, 4]], {{True, False}, {False, True}}]
p13886
sg8
(lp13887
(dp13888
g11
(lp13889
sg13
Vf\u005cleft[g\u005cleft[1\u005cright],h\u005cleft[4\u005cright]\u005cright]
p13890
sg15
I2
sass(g1696
g12411
g13876
I2
tp13891
(dp13892
g6
VPick[{a, b, c, d, e}, {1, 2, 3.5, 4, 5.5}, _Integer]
p13893
sg8
(lp13894
(dp13895
g11
(lp13896
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p13897
sg15
I3
sass(g1696
g12411
VPosition
p13898
I0
tp13899
(dp13900
g6
VPosition[{1, 2, 2, 1, 2, 3, 2}, 2]
p13901
sg8
(lp13902
(dp13903
g11
(lp13904
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}
p13905
sg15
I1
sass(g1696
g12411
g13898
I1
tp13906
(dp13907
g6
VPosition[{1 + Sin[x], x, (Tan[x] - y)^2}, x, 3]
p13908
sg8
(lp13909
(dp13910
g11
(lp13911
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,1\u005cright\u005c},\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c}
p13912
sg15
I2
sass(g1696
g12411
g13898
I2
tp13913
(dp13914
g6
VPosition[{1 + x^2, x y ^ 2,  4 y,  x ^ z}, x^_]
p13915
sg8
(lp13916
(dp13917
g11
(lp13918
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{4\u005cright\u005c}\u005cright\u005c}
p13919
sg15
I3
sass(g1696
g12411
g13898
I3
tp13920
(dp13921
g6
VPosition[_Integer][{1.5, 2, 2.5}]
p13922
sg8
(lp13923
(dp13924
g11
(lp13925
sg13
V\u005cleft\u005c{\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c}
p13926
sg15
I4
sass(g1696
g12411
VPrepend
p13927
I0
tp13928
(dp13929
g6
VPrepend[{2, 3, 4}, 1]
p13930
sg8
(lp13931
(dp13932
g11
(lp13933
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p13934
sg15
I1
sass(g1696
g12411
g13927
I1
tp13935
(dp13936
g6
VPrepend[f[b, c], a]
p13937
sg8
(lp13938
(dp13939
g11
(lp13940
sg13
Vf\u005cleft[a,b,c\u005cright]
p13941
sg15
I2
sass(g1696
g12411
g13927
I2
tp13942
(dp13943
g6
VPrepend[{c, d}, {a, b}]
p13944
sg8
(lp13945
(dp13946
g11
(lp13947
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},c,d\u005cright\u005c}
p13948
sg15
I3
sass(g1696
g12411
VPrependTo
p13949
I0
tp13950
(dp13951
g6
Vs = {1, 2, 4, 9}
p13952
sg8
(lp13953
(dp13954
g11
(lp13955
sg13
V\u005cleft\u005c{1,2,4,9\u005cright\u005c}
p13956
sg15
I1
sass(g1696
g12411
g13949
I1
tp13957
(dp13958
g6
VPrependTo[s, 0]
p13959
sg8
(lp13960
(dp13961
g11
(lp13962
sg13
V\u005cleft\u005c{0,1,2,4,9\u005cright\u005c}
p13963
sg15
I2
sass(g1696
g12411
g13949
I2
tp13964
(dp13965
g6
g5386
sg8
(lp13966
(dp13967
g11
(lp13968
sg13
V\u005cleft\u005c{0,1,2,4,9\u005cright\u005c}
p13969
sg15
I3
sass(g1696
g12411
g13949
I3
tp13970
(dp13971
g6
Vy = f[a, b, c];
p13972
sg8
(lp13973
(dp13974
g11
(lp13975
sg13
Nsg15
I4
sass(g1696
g12411
g13949
I4
tp13976
(dp13977
g6
VPrependTo[y, x]
p13978
sg8
(lp13979
(dp13980
g11
(lp13981
sg13
Vf\u005cleft[x,a,b,c\u005cright]
p13982
sg15
I5
sass(g1696
g12411
g13949
I5
tp13983
(dp13984
g6
g3550
sg8
(lp13985
(dp13986
g11
(lp13987
sg13
Vf\u005cleft[x,a,b,c\u005cright]
p13988
sg15
I6
sass(g1696
g12411
VQuantile
p13989
I0
tp13990
(dp13991
g6
VQuantile[Range[11], 1/3]
p13992
sg8
(lp13993
(dp13994
g11
(lp13995
sg13
V4
p13996
sg15
I1
sass(g1696
g12411
g13989
I1
tp13997
(dp13998
g6
VQuantile[Range[16], 1/4]
p13999
sg8
(lp14000
(dp14001
g11
(lp14002
sg13
V5
p14003
sg15
I2
sass(g1696
g12411
VQuartiles
p14004
I0
tp14005
(dp14006
g6
VQuartiles[Range[25]]
p14007
sg8
(lp14008
(dp14009
g11
(lp14010
sg13
V\u005cleft\u005c{\u005cfrac{27}{4},13,\u005cfrac{77}{4}\u005cright\u005c}
p14011
sg15
I1
sass(g1696
g12411
VRange
p14012
I0
tp14013
(dp14014
g6
VRange[5]
p14015
sg8
(lp14016
(dp14017
g11
(lp14018
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p14019
sg15
I1
sass(g1696
g12411
g14012
I1
tp14020
(dp14021
g6
VRange[-3, 2]
p14022
sg8
(lp14023
(dp14024
g11
(lp14025
sg13
V\u005cleft\u005c{-3,-2,-1,0,1,2\u005cright\u005c}
p14026
sg15
I2
sass(g1696
g12411
g14012
I2
tp14027
(dp14028
g6
VRange[0, 2, 1/3]
p14029
sg8
(lp14030
(dp14031
g11
(lp14032
sg13
V\u005cleft\u005c{0,\u005cfrac{1}{3},\u005cfrac{2}{3},1,\u005cfrac{4}{3},\u005cfrac{5}{3},2\u005cright\u005c}
p14033
sg15
I3
sass(g1696
g12411
VRankedMax
p14034
I0
tp14035
(dp14036
g6
VRankedMax[{482, 17, 181, -12}, 2]
p14037
sg8
(lp14038
(dp14039
g11
(lp14040
sg13
V181
p14041
sg15
I1
sass(g1696
g12411
VRankedMin
p14042
I0
tp14043
(dp14044
g6
VRankedMin[{482, 17, 181, -12}, 2]
p14045
sg8
(lp14046
(dp14047
g11
(lp14048
sg13
V17
p14049
sg15
I1
sass(g1696
g12411
VReap
p14050
I0
tp14051
(dp14052
g6
VReap[Sow[3]; Sow[1]]
p14053
sg8
(lp14054
(dp14055
g11
(lp14056
sg13
V\u005cleft\u005c{1,\u005cleft\u005c{\u005cleft\u005c{3,1\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p14057
sg15
I1
sass(g1696
g12411
g14050
I1
tp14058
(dp14059
g6
VReap[Sow[2, {x, x, x}]; Sow[3, x]; Sow[4, y]; Sow[4, 1], {_Symbol, _Integer, x}, f]
p14060
sg8
(lp14061
(dp14062
g11
(lp14063
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}
p14064
sg15
I2
sass(g1696
g12411
g14050
I2
tp14065
(dp14066
g6
VReap[Sow[Null, {a, a, b, d, c, a}], _, # &][[2]]
p14067
sg8
(lp14068
(dp14069
g11
(lp14070
sg13
V\u005cleft\u005c{a,b,d,c\u005cright\u005c}
p14071
sg15
I3
sass(g1696
g12411
g14050
I3
tp14072
(dp14073
g6
VReap[Reap[Sow[a, x]; Sow[b, 1], _Symbol, Print["Inner: ", #1]&];, _, f]
p14074
sg8
(lp14075
(dp14076
g11
(lp14077
(dp14078
g149
I00
sg156
VInner: x
p14079
sasg13
V\u005cleft\u005c{\u005ctext{Null},\u005cleft\u005c{f\u005cleft[1,\u005cleft\u005c{b\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright\u005c}
p14080
sg15
I4
sass(g1696
g12411
g14050
I4
tp14081
(dp14082
g6
VReap[x]
p14083
sg8
(lp14084
(dp14085
g11
(lp14086
sg13
V\u005cleft\u005c{x,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p14087
sg15
I5
sass(g1696
g12411
VReplacePart
p14088
I0
tp14089
(dp14090
g6
VReplacePart[{a, b, c}, 1 -> t]
p14091
sg8
(lp14092
(dp14093
g11
(lp14094
sg13
V\u005cleft\u005c{t,b,c\u005cright\u005c}
p14095
sg15
I1
sass(g1696
g12411
g14088
I1
tp14096
(dp14097
g6
VReplacePart[{{a, b}, {c, d}}, {2, 1} -> t]
p14098
sg8
(lp14099
(dp14100
g11
(lp14101
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{t,d\u005cright\u005c}\u005cright\u005c}
p14102
sg15
I2
sass(g1696
g12411
g14088
I2
tp14103
(dp14104
g6
VReplacePart[{{a, b}, {c, d}}, {{2, 1} -> t, {1, 1} -> t}]
p14105
sg8
(lp14106
(dp14107
g11
(lp14108
sg13
V\u005cleft\u005c{\u005cleft\u005c{t,b\u005cright\u005c},\u005cleft\u005c{t,d\u005cright\u005c}\u005cright\u005c}
p14109
sg15
I3
sass(g1696
g12411
g14088
I3
tp14110
(dp14111
g6
VReplacePart[{a, b, c}, {{1}, {2}} -> t]
p14112
sg8
(lp14113
(dp14114
g11
(lp14115
sg13
V\u005cleft\u005c{t,t,c\u005cright\u005c}
p14116
sg15
I4
sass(g1696
g12411
g14088
I4
tp14117
(dp14118
g6
Vn = 1;
p14119
sg8
(lp14120
(dp14121
g11
(lp14122
sg13
Nsg15
I5
sass(g1696
g12411
g14088
I5
tp14123
(dp14124
g6
VReplacePart[{a, b, c, d}, {{1}, {3}} :> n++]
p14125
sg8
(lp14126
(dp14127
g11
(lp14128
sg13
V\u005cleft\u005c{1,b,2,d\u005cright\u005c}
p14129
sg15
I6
sass(g1696
g12411
g14088
I6
tp14130
(dp14131
g6
VReplacePart[{a, b, c}, 4 -> t]
p14132
sg8
(lp14133
(dp14134
g11
(lp14135
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p14136
sg15
I7
sass(g1696
g12411
g14088
I7
tp14137
(dp14138
g6
VReplacePart[{a, b, c}, 0 -> Times]
p14139
sg8
(lp14140
(dp14141
g11
(lp14142
sg13
Va b c
p14143
sg15
I8
sass(g1696
g12411
g14088
I8
tp14144
(dp14145
g6
VReplacePart[{a, b, c}, -1 -> t]
p14146
sg8
(lp14147
(dp14148
g11
(lp14149
sg13
V\u005cleft\u005c{a,b,t\u005cright\u005c}
p14150
sg15
I9
sass(g1696
g12411
VRest
p14151
I0
tp14152
(dp14153
g6
VRest[{a, b, c}]
p14154
sg8
(lp14155
(dp14156
g11
(lp14157
sg13
V\u005cleft\u005c{b,c\u005cright\u005c}
p14158
sg15
I1
sass(g1696
g12411
g14151
I1
tp14159
(dp14160
g6
VRest[a + b + c]
p14161
sg8
(lp14162
(dp14163
g11
(lp14164
sg13
Vb+c
p14165
sg15
I2
sass(g1696
g12411
g14151
I2
tp14166
(dp14167
g6
VRest[x]
p14168
sg8
(lp14169
(dp14170
g11
(lp14171
(dp14172
g149
I01
sg150
VRest
p14173
sg152
g4756
sg154
VRest::normal
p14174
sg156
g4758
sasg13
V\u005ctext{Rest}\u005cleft[x\u005cright]
p14175
sg15
I3
sass(g1696
g12411
VReverse
p14176
I0
tp14177
(dp14178
g6
VReverse[{1, 2, 3}]
p14179
sg8
(lp14180
(dp14181
g11
(lp14182
sg13
V\u005cleft\u005c{3,2,1\u005cright\u005c}
p14183
sg15
I1
sass(g1696
g12411
g14176
I1
tp14184
(dp14185
g6
VReverse[x[a, b, c]]
p14186
sg8
(lp14187
(dp14188
g11
(lp14189
sg13
Vx\u005cleft[c,b,a\u005cright]
p14190
sg15
I2
sass(g1696
g12411
g14176
I2
tp14191
(dp14192
g6
VReverse[{{1, 2}, {3, 4}}, 1]
p14193
sg8
(lp14194
(dp14195
g11
(lp14196
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,4\u005cright\u005c},\u005cleft\u005c{1,2\u005cright\u005c}\u005cright\u005c}
p14197
sg15
I3
sass(g1696
g12411
g14176
I3
tp14198
(dp14199
g6
VReverse[{{1, 2}, {3, 4}}, 2]
p14200
sg8
(lp14201
(dp14202
g11
(lp14203
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{4,3\u005cright\u005c}\u005cright\u005c}
p14204
sg15
I4
sass(g1696
g12411
g14176
I4
tp14205
(dp14206
g6
VReverse[{{1, 2}, {3, 4}}, {1, 2}]
p14207
sg8
(lp14208
(dp14209
g11
(lp14210
sg13
V\u005cleft\u005c{\u005cleft\u005c{4,3\u005cright\u005c},\u005cleft\u005c{2,1\u005cright\u005c}\u005cright\u005c}
p14211
sg15
I5
sass(g1696
g12411
VRiffle
p14212
I0
tp14213
(dp14214
g6
VRiffle[{a, b, c}, x]
p14215
sg8
(lp14216
(dp14217
g11
(lp14218
sg13
V\u005cleft\u005c{a,x,b,x,c\u005cright\u005c}
p14219
sg15
I1
sass(g1696
g12411
g14212
I1
tp14220
(dp14221
g6
VRiffle[{a, b, c}, {x, y, z}]
p14222
sg8
(lp14223
(dp14224
g11
(lp14225
sg13
V\u005cleft\u005c{a,x,b,y,c,z\u005cright\u005c}
p14226
sg15
I2
sass(g1696
g12411
g14212
I2
tp14227
(dp14228
g6
VRiffle[{a, b, c, d, e, f}, {x, y, z}]
p14229
sg8
(lp14230
(dp14231
g11
(lp14232
sg13
V\u005cleft\u005c{a,x,b,y,c,z,d,x,e,y,f\u005cright\u005c}
p14233
sg15
I3
sass(g1696
g12411
VRotateLeft
p14234
I0
tp14235
(dp14236
g6
VRotateLeft[{1, 2, 3}]
p14237
sg8
(lp14238
(dp14239
g11
(lp14240
sg13
V\u005cleft\u005c{2,3,1\u005cright\u005c}
p14241
sg15
I1
sass(g1696
g12411
g14234
I1
tp14242
(dp14243
g6
VRotateLeft[Range[10], 3]
p14244
sg8
(lp14245
(dp14246
g11
(lp14247
sg13
V\u005cleft\u005c{4,5,6,7,8,9,10,1,2,3\u005cright\u005c}
p14248
sg15
I2
sass(g1696
g12411
g14234
I2
tp14249
(dp14250
g6
VRotateLeft[x[a, b, c], 2]
p14251
sg8
(lp14252
(dp14253
g11
(lp14254
sg13
Vx\u005cleft[c,a,b\u005cright]
p14255
sg15
I3
sass(g1696
g12411
g14234
I3
tp14256
(dp14257
g6
VRotateLeft[{{a, b, c}, {d, e, f}, {g, h, i}}, {1, 2}]
p14258
sg8
(lp14259
(dp14260
g11
(lp14261
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}
p14262
sg15
I4
sass(g1696
g12411
VRotateRight
p14263
I0
tp14264
(dp14265
g6
VRotateRight[{1, 2, 3}]
p14266
sg8
(lp14267
(dp14268
g11
(lp14269
sg13
V\u005cleft\u005c{3,1,2\u005cright\u005c}
p14270
sg15
I1
sass(g1696
g12411
g14263
I1
tp14271
(dp14272
g6
VRotateRight[Range[10], 3]
p14273
sg8
(lp14274
(dp14275
g11
(lp14276
sg13
V\u005cleft\u005c{8,9,10,1,2,3,4,5,6,7\u005cright\u005c}
p14277
sg15
I2
sass(g1696
g12411
g14263
I2
tp14278
(dp14279
g6
VRotateRight[x[a, b, c], 2]
p14280
sg8
(lp14281
(dp14282
g11
(lp14283
sg13
Vx\u005cleft[b,c,a\u005cright]
p14284
sg15
I3
sass(g1696
g12411
g14263
I3
tp14285
(dp14286
g6
VRotateRight[{{a, b, c}, {d, e, f}, {g, h, i}}, {1, 2}]
p14287
sg8
(lp14288
(dp14289
g11
(lp14290
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}
p14291
sg15
I4
sass(g1696
g12411
VSelect
p14292
I0
tp14293
(dp14294
g6
VSelect[{-3, 0, 1, 3, a}, #>0&]
p14295
sg8
(lp14296
(dp14297
g11
(lp14298
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p14299
sg15
I1
sass(g1696
g12411
g14292
I1
tp14300
(dp14301
g6
VSelect[f[a, 2, 3], NumberQ]
p14302
sg8
(lp14303
(dp14304
g11
(lp14305
sg13
Vf\u005cleft[2,3\u005cright]
p14306
sg15
I2
sass(g1696
g12411
g14292
I2
tp14307
(dp14308
g6
VSelect[a, True]
p14309
sg8
(lp14310
(dp14311
g11
(lp14312
(dp14313
g149
I01
sg150
VSelect
p14314
sg152
g4756
sg154
VSelect::normal
p14315
sg156
g4758
sasg13
V\u005ctext{Select}\u005cleft[a,\u005ctext{True}\u005cright]
p14316
sg15
I3
sass(g1696
g12411
VSkewness
p14317
I0
tp14318
(dp14319
g6
VSkewness[{1.1, 1.2, 1.4, 2.1, 2.4}]
p14320
sg8
(lp14321
(dp14322
g11
(lp14323
sg13
V0.407041
p14324
sg15
I1
sass(g1696
g12411
VSpan
p14325
I0
tp14326
(dp14327
g6
V;; // FullForm
p14328
sg8
(lp14329
(dp14330
g11
(lp14331
sg13
V\u005ctext{Span}\u005cleft[1, \u005ctext{All}\u005cright]
p14332
sg15
I1
sass(g1696
g12411
g14325
I1
tp14333
(dp14334
g6
V1;;4;;2 // FullForm
p14335
sg8
(lp14336
(dp14337
g11
(lp14338
sg13
V\u005ctext{Span}\u005cleft[1, 4, 2\u005cright]
p14339
sg15
I2
sass(g1696
g12411
g14325
I2
tp14340
(dp14341
g6
V2;;-2 // FullForm
p14342
sg8
(lp14343
(dp14344
g11
(lp14345
sg13
V\u005ctext{Span}\u005cleft[2, -2\u005cright]
p14346
sg15
I3
sass(g1696
g12411
g14325
I3
tp14347
(dp14348
g6
V;;3 // FullForm
p14349
sg8
(lp14350
(dp14351
g11
(lp14352
sg13
V\u005ctext{Span}\u005cleft[1, 3\u005cright]
p14353
sg15
I4
sass(g1696
g12411
VSplit
p14354
I0
tp14355
(dp14356
g6
VSplit[{x, x, x, y, x, y, y, z}]
p14357
sg8
(lp14358
(dp14359
g11
(lp14360
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}
p14361
sg15
I1
sass(g1696
g12411
g14354
I2
tp14362
(dp14363
g6
VSplit[{1, 5, 6, 3, 6, 1, 6, 3, 4, 5, 4}, Less]
p14364
sg8
(lp14365
(dp14366
g11
(lp14367
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}
p14368
sg15
I2
sass(g1696
g12411
g14354
I3
tp14369
(dp14370
g6
VSplit[{1, 5, 6, 3, 6, 1, 6, 3, 4, 5, 4}, Greater]
p14371
sg8
(lp14372
(dp14373
g11
(lp14374
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}
p14375
sg15
I3
sass(g1696
g12411
g14354
I4
tp14376
(dp14377
g6
VSplit[{x -> a, x -> y, 2 -> a, z -> c, z -> a}, First[#1] === First[#2] &]
p14378
sg8
(lp14379
(dp14380
g11
(lp14381
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}
p14382
sg15
I4
sass(g1696
g12411
VSplitBy
p14383
I0
tp14384
(dp14385
g6
VSplitBy[Range[1, 3, 1/3], Round]
p14386
sg8
(lp14387
(dp14388
g11
(lp14389
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}
p14390
sg15
I1
sass(g1696
g12411
g14383
I1
tp14391
(dp14392
g6
VSplitBy[{1, 2, 1, 1.2}, {Round, Identity}]
p14393
sg8
(lp14394
(dp14395
g11
(lp14396
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}
p14397
sg15
I2
sass(g1696
g12411
VStandardDeviation
p14398
I0
tp14399
(dp14400
g6
VStandardDeviation[{1, 2, 3}]
p14401
sg8
(lp14402
(dp14403
g11
(lp14404
sg13
V1
p14405
sg15
I1
sass(g1696
g12411
g14398
I1
tp14406
(dp14407
g6
VStandardDeviation[{7, -5, 101, 100}]
p14408
sg8
(lp14409
(dp14410
g11
(lp14411
sg13
V\u005cfrac{\u005csqrt{13297}}{2}
p14412
sg15
I2
sass(g1696
g12411
g14398
I2
tp14413
(dp14414
g6
VStandardDeviation[{a, a}]
p14415
sg8
(lp14416
(dp14417
g11
(lp14418
sg13
V0
p14419
sg15
I3
sass(g1696
g12411
g14398
I3
tp14420
(dp14421
g6
VStandardDeviation[{{1, 10}, {-1, 20}}]
p14422
sg8
(lp14423
(dp14424
g11
(lp14425
sg13
V\u005cleft\u005c{\u005csqrt{2},5 \u005csqrt{2}\u005cright\u005c}
p14426
sg15
I4
sass(g1696
g12411
VSubsetQ
p14427
I0
tp14428
(dp14429
g6
VSubsetQ[{1, 2, 3}, {3, 1}]
p14430
sg8
(lp14431
(dp14432
g11
(lp14433
sg13
V\u005ctext{True}
p14434
sg15
I1
sass(g1696
g12411
g14427
I1
tp14435
(dp14436
g6
VSubsetQ[{}, {}]
p14437
sg8
(lp14438
(dp14439
g11
(lp14440
sg13
V\u005ctext{True}
p14441
sg15
I2
sass(g1696
g12411
g14427
I2
tp14442
(dp14443
g6
VSubsetQ[{1, 2, 3}, {}]
p14444
sg8
(lp14445
(dp14446
g11
(lp14447
sg13
V\u005ctext{True}
p14448
sg15
I3
sass(g1696
g12411
g14427
I3
tp14449
(dp14450
g6
VSubsetQ[{1, 2, 3}, {1, 2, 3}]
p14451
sg8
(lp14452
(dp14453
g11
(lp14454
sg13
V\u005ctext{True}
p14455
sg15
I4
sass(g1696
g12411
VTable
p14456
I0
tp14457
(dp14458
g6
VTable[x, {4}]
p14459
sg8
(lp14460
(dp14461
g11
(lp14462
sg13
V\u005cleft\u005c{x,x,x,x\u005cright\u005c}
p14463
sg15
I1
sass(g1696
g12411
g14456
I1
tp14464
(dp14465
g6
Vn = 0;
p14466
sg8
(lp14467
(dp14468
g11
(lp14469
sg13
Nsg15
I2
sass(g1696
g12411
g14456
I2
tp14470
(dp14471
g6
VTable[n = n + 1, {5}]
p14472
sg8
(lp14473
(dp14474
g11
(lp14475
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p14476
sg15
I3
sass(g1696
g12411
g14456
I3
tp14477
(dp14478
g6
VTable[i, {i, 4}]
p14479
sg8
(lp14480
(dp14481
g11
(lp14482
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p14483
sg15
I4
sass(g1696
g12411
g14456
I4
tp14484
(dp14485
g6
VTable[i, {i, 2, 5}]
p14486
sg8
(lp14487
(dp14488
g11
(lp14489
sg13
V\u005cleft\u005c{2,3,4,5\u005cright\u005c}
p14490
sg15
I5
sass(g1696
g12411
g14456
I5
tp14491
(dp14492
g6
VTable[i, {i, 2, 6, 2}]
p14493
sg8
(lp14494
(dp14495
g11
(lp14496
sg13
V\u005cleft\u005c{2,4,6\u005cright\u005c}
p14497
sg15
I6
sass(g1696
g12411
g14456
I6
tp14498
(dp14499
g6
VTable[i, {i, Pi, 2 Pi, Pi / 2}]
p14500
sg8
(lp14501
(dp14502
g11
(lp14503
sg13
V\u005cleft\u005c{\u005ctext{Pi},\u005cfrac{3 \u005ctext{Pi}}{2},2 \u005ctext{Pi}\u005cright\u005c}
p14504
sg15
I7
sass(g1696
g12411
g14456
I7
tp14505
(dp14506
g6
VTable[x^2, {x, {a, b, c}}]
p14507
sg8
(lp14508
(dp14509
g11
(lp14510
sg13
V\u005cleft\u005c{a^2,b^2,c^2\u005cright\u005c}
p14511
sg15
I8
sass(g1696
g12411
g14456
I8
tp14512
(dp14513
g6
VTable[{i, j}, {i, {a, b}}, {j, 1, 2}]
p14514
sg8
(lp14515
(dp14516
g11
(lp14517
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}
p14518
sg15
I9
sass(g1696
g12411
VTake
p14519
I0
tp14520
(dp14521
g6
VTake[{a, b, c, d}, 3]
p14522
sg8
(lp14523
(dp14524
g11
(lp14525
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p14526
sg15
I1
sass(g1696
g12411
g14519
I1
tp14527
(dp14528
g6
VTake[{a, b, c, d}, -2]
p14529
sg8
(lp14530
(dp14531
g11
(lp14532
sg13
V\u005cleft\u005c{c,d\u005cright\u005c}
p14533
sg15
I2
sass(g1696
g12411
g14519
I2
tp14534
(dp14535
g6
VTake[{a, b, c, d, e}, {2, -2}]
p14536
sg8
(lp14537
(dp14538
g11
(lp14539
sg13
V\u005cleft\u005c{b,c,d\u005cright\u005c}
p14540
sg15
I3
sass(g1696
g12411
g14519
I3
tp14541
(dp14542
g6
VA = {{a, b, c}, {d, e, f}};
p14543
sg8
(lp14544
(dp14545
g11
(lp14546
sg13
Nsg15
I4
sass(g1696
g12411
g14519
I4
tp14547
(dp14548
g6
VTake[A, 2, 2]
p14549
sg8
(lp14550
(dp14551
g11
(lp14552
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{d,e\u005cright\u005c}\u005cright\u005c}
p14553
sg15
I5
sass(g1696
g12411
g14519
I5
tp14554
(dp14555
g6
VTake[A, All, {2}]
p14556
sg8
(lp14557
(dp14558
g11
(lp14559
sg13
V\u005cleft\u005c{\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{e\u005cright\u005c}\u005cright\u005c}
p14560
sg15
I6
sass(g1696
g12411
VTakeLargest
p14561
I0
tp14562
(dp14563
g6
VTakeLargest[{100, -1, 50, 10}, 2]
p14564
sg8
(lp14565
(dp14566
g11
(lp14567
sg13
V\u005cleft\u005c{100,50\u005cright\u005c}
p14568
sg15
I1
sass(g1696
g12411
g14561
I1
tp14569
(dp14570
g6
VTakeLargest[{-8, 150, Missing[abc]}, 2]
p14571
sg8
(lp14572
(dp14573
g11
(lp14574
sg13
V\u005cleft\u005c{150,-8\u005cright\u005c}
p14575
sg15
I2
sass(g1696
g12411
g14561
I2
tp14576
(dp14577
g6
VTakeLargest[{-8, 150, Missing[abc]}, 2, ExcludedForms -> {}]
p14578
sg8
(lp14579
(dp14580
g11
(lp14581
sg13
V\u005cleft\u005c{\u005ctext{Missing}\u005cleft[\u005ctext{abc}\u005cright],150\u005cright\u005c}
p14582
sg15
I3
sass(g1696
g12411
VTakeLargestBy
p14583
I0
tp14584
(dp14585
g6
VTakeLargestBy[{{1, -1}, {10, 100}, {23, 7, 8}, {5, 1}}, Total, 2]
p14586
sg8
(lp14587
(dp14588
g11
(lp14589
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,100\u005cright\u005c},\u005cleft\u005c{23,7,8\u005cright\u005c}\u005cright\u005c}
p14590
sg15
I1
sass(g1696
g12411
g14583
I1
tp14591
(dp14592
g6
VTakeLargestBy[{"abc", "ab", "x"}, StringLength, 1]
p14593
sg8
(lp14594
(dp14595
g11
(lp14596
sg13
V\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}
p14597
sg15
I2
sass(g1696
g12411
VTakeSmallest
p14598
I0
tp14599
(dp14600
g6
VTakeSmallest[{100, -1, 50, 10}, 2]
p14601
sg8
(lp14602
(dp14603
g11
(lp14604
sg13
V\u005cleft\u005c{-1,10\u005cright\u005c}
p14605
sg15
I1
sass(g1696
g12411
VTakeSmallestBy
p14606
I0
tp14607
(dp14608
g6
VTakeSmallestBy[{{1, -1}, {10, 100}, {23, 7, 8}, {5, 1}}, Total, 2]
p14609
sg8
(lp14610
(dp14611
g11
(lp14612
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p14613
sg15
I1
sass(g1696
g12411
g14606
I1
tp14614
(dp14615
g6
VTakeSmallestBy[{"abc", "ab", "x"}, StringLength, 1]
p14616
sg8
(lp14617
(dp14618
g11
(lp14619
sg13
V\u005cleft\u005c{\u005ctext{x}\u005cright\u005c}
p14620
sg15
I2
sass(g1696
g12411
VTally
p14621
I0
tp14622
(dp14623
g6
VTally[{a, b, c, b, a}]
p14624
sg8
(lp14625
(dp14626
g11
(lp14627
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,2\u005cright\u005c},\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{c,1\u005cright\u005c}\u005cright\u005c}
p14628
sg15
I1
sass(g1696
g12411
g14621
I1
tp14629
(dp14630
g6
VTally[{b, b, a, a, a, d, d, d, d, c}]
p14631
sg8
(lp14632
(dp14633
g11
(lp14634
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}
p14635
sg15
I2
sass(g1696
g12411
VTotal
p14636
I0
tp14637
(dp14638
g6
VTotal[{1, 2, 3}]
p14639
sg8
(lp14640
(dp14641
g11
(lp14642
sg13
V6
p14643
sg15
I1
sass(g1696
g12411
g14636
I1
tp14644
(dp14645
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}]
p14646
sg8
(lp14647
(dp14648
g11
(lp14649
sg13
V\u005cleft\u005c{12,15,18\u005cright\u005c}
p14650
sg15
I2
sass(g1696
g12411
g14636
I2
tp14651
(dp14652
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}, 2]
p14653
sg8
(lp14654
(dp14655
g11
(lp14656
sg13
V45
p14657
sg15
I3
sass(g1696
g12411
g14636
I3
tp14658
(dp14659
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}, {2}]
p14660
sg8
(lp14661
(dp14662
g11
(lp14663
sg13
V\u005cleft\u005c{6,15,24\u005cright\u005c}
p14664
sg15
I4
sass(g1696
g12411
VTuples
p14665
I0
tp14666
(dp14667
g6
VTuples[{a, b, c}, 2]
p14668
sg8
(lp14669
(dp14670
g11
(lp14671
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}
p14672
sg15
I1
sass(g1696
g12411
g14665
I1
tp14673
(dp14674
g6
VTuples[{}, 2]
p14675
sg8
(lp14676
(dp14677
g11
(lp14678
sg13
V\u005cleft\u005c{\u005cright\u005c}
p14679
sg15
I2
sass(g1696
g12411
g14665
I2
tp14680
(dp14681
g6
VTuples[{a, b, c}, 0]
p14682
sg8
(lp14683
(dp14684
g11
(lp14685
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p14686
sg15
I3
sass(g1696
g12411
g14665
I3
tp14687
(dp14688
g6
VTuples[{{a, b}, {1, 2, 3}}]
p14689
sg8
(lp14690
(dp14691
g11
(lp14692
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}
p14693
sg15
I4
sass(g1696
g12411
g14665
I4
tp14694
(dp14695
g6
VTuples[f[a, b, c], 2]
p14696
sg8
(lp14697
(dp14698
g11
(lp14699
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}
p14700
sg15
I5
sass(g1696
g12411
g14665
I5
tp14701
(dp14702
g6
VTuples[{f[a, b], g[c, d]}]
p14703
sg8
(lp14704
(dp14705
g11
(lp14706
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}
p14707
sg15
I6
sass(g1696
g12411
VUnion
p14708
I0
tp14709
(dp14710
g6
VUnion[{5, 1, 3, 7, 1, 8, 3}]
p14711
sg8
(lp14712
(dp14713
g11
(lp14714
sg13
V\u005cleft\u005c{1,3,5,7,8\u005cright\u005c}
p14715
sg15
I1
sass(g1696
g12411
g14708
I1
tp14716
(dp14717
g6
VUnion[{a, b, c}, {c, d, e}]
p14718
sg8
(lp14719
(dp14720
g11
(lp14721
sg13
V\u005cleft\u005c{a,b,c,d,e\u005cright\u005c}
p14722
sg15
I2
sass(g1696
g12411
g14708
I2
tp14723
(dp14724
g6
VUnion[{c, b, a}]
p14725
sg8
(lp14726
(dp14727
g11
(lp14728
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p14729
sg15
I3
sass(g1696
g12411
g14708
I3
tp14730
(dp14731
g6
VUnion[{{a, 1}, {b, 2}}, {{c, 1}, {d, 3}}, SameTest->(SameQ[Last[#1],Last[#2]]&)]
p14732
sg8
(lp14733
(dp14734
g11
(lp14735
sg13
V\u005cleft\u005c{\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{c,1\u005cright\u005c},\u005cleft\u005c{d,3\u005cright\u005c}\u005cright\u005c}
p14736
sg15
I4
sass(g1696
g12411
g14708
I4
tp14737
(dp14738
g6
VUnion[{1, 2, 3}, {2, 3, 4}, SameTest->Less]
p14739
sg8
(lp14740
(dp14741
g11
(lp14742
sg13
V\u005cleft\u005c{1,2,2,3,4\u005cright\u005c}
p14743
sg15
I5
sass(g1696
g12411
VUnitVector
p14744
I0
tp14745
(dp14746
g6
VUnitVector[2]
p14747
sg8
(lp14748
(dp14749
g11
(lp14750
sg13
V\u005cleft\u005c{0,1\u005cright\u005c}
p14751
sg15
I1
sass(g1696
g12411
g14744
I1
tp14752
(dp14753
g6
VUnitVector[4, 3]
p14754
sg8
(lp14755
(dp14756
g11
(lp14757
sg13
V\u005cleft\u005c{0,0,1,0\u005cright\u005c}
p14758
sg15
I2
sass(g1696
g12411
VValues
p14759
I0
tp14760
(dp14761
g6
VValues[<|a -> x, b -> y|>]
p14762
sg8
(lp14763
(dp14764
g11
(lp14765
sg13
V\u005cleft\u005c{x,y\u005cright\u005c}
p14766
sg15
I1
sass(g1696
g12411
g14759
I1
tp14767
(dp14768
g6
VValues[{a -> x, b -> y}]
p14769
sg8
(lp14770
(dp14771
g11
(lp14772
sg13
V\u005cleft\u005c{x,y\u005cright\u005c}
p14773
sg15
I2
sass(g1696
g12411
g14759
I2
tp14774
(dp14775
g6
VValues[{<|a -> x, b -> y|>, {c -> z, {}}}]
p14776
sg8
(lp14777
(dp14778
g11
(lp14779
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c},\u005cleft\u005c{z,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p14780
sg15
I3
sass(g1696
g12411
g14759
I3
tp14781
(dp14782
g6
VValues[{c -> z, b -> y, a -> x}]
p14783
sg8
(lp14784
(dp14785
g11
(lp14786
sg13
V\u005cleft\u005c{z,y,x\u005cright\u005c}
p14787
sg15
I4
sass(g1696
g12411
VVariance
p14788
I0
tp14789
(dp14790
g6
VVariance[{1, 2, 3}]
p14791
sg8
(lp14792
(dp14793
g11
(lp14794
sg13
V1
p14795
sg15
I1
sass(g1696
g12411
g14788
I1
tp14796
(dp14797
g6
VVariance[{7, -5, 101, 3}]
p14798
sg8
(lp14799
(dp14800
g11
(lp14801
sg13
V\u005cfrac{7475}{3}
p14802
sg15
I2
sass(g1696
g12411
g14788
I2
tp14803
(dp14804
g6
VVariance[{1 + 2I, 3 - 10I}]
p14805
sg8
(lp14806
(dp14807
g11
(lp14808
sg13
V74
p14809
sg15
I3
sass(g1696
g12411
g14788
I3
tp14810
(dp14811
g6
VVariance[{a, a}]
p14812
sg8
(lp14813
(dp14814
g11
(lp14815
sg13
V0
p14816
sg15
I4
sass(g1696
g12411
g14788
I4
tp14817
(dp14818
g6
VVariance[{{1, 3, 5}, {4, 10, 100}}]
p14819
sg8
(lp14820
(dp14821
g11
(lp14822
sg13
V\u005cleft\u005c{\u005cfrac{9}{2},\u005cfrac{49}{2},\u005cfrac{9025}{2}\u005cright\u005c}
p14823
sg15
I5
sass(g1696
VLogic
p14824
VAllTrue
p14825
I0
tp14826
(dp14827
g6
VAllTrue[{2, 4, 6}, EvenQ]
p14828
sg8
(lp14829
(dp14830
g11
(lp14831
sg13
V\u005ctext{True}
p14832
sg15
I1
sass(g1696
g14824
g14825
I1
tp14833
(dp14834
g6
VAllTrue[{2, 4, 7}, EvenQ]
p14835
sg8
(lp14836
(dp14837
g11
(lp14838
sg13
V\u005ctext{False}
p14839
sg15
I2
sass(g1696
g14824
VAnd
p14840
I0
tp14841
(dp14842
g6
VTrue && True && False
p14843
sg8
(lp14844
(dp14845
g11
(lp14846
sg13
V\u005ctext{False}
p14847
sg15
I1
sass(g1696
g14824
g14840
I1
tp14848
(dp14849
g6
Va && b && True && c
p14850
sg8
(lp14851
(dp14852
g11
(lp14853
sg13
Va\u005ctext{\u005c&\u005c&}b\u005ctext{\u005c&\u005c&}c
p14854
sg15
I2
sass(g1696
g14824
VAnyTrue
p14855
I0
tp14856
(dp14857
g6
VAnyTrue[{1, 3, 5}, EvenQ]
p14858
sg8
(lp14859
(dp14860
g11
(lp14861
sg13
V\u005ctext{False}
p14862
sg15
I1
sass(g1696
g14824
g14855
I1
tp14863
(dp14864
g6
VAnyTrue[{1, 4, 5}, EvenQ]
p14865
sg8
(lp14866
(dp14867
g11
(lp14868
sg13
V\u005ctext{True}
p14869
sg15
I2
sass(g1696
g14824
VEquivalent
p14870
I0
tp14871
(dp14872
g6
VEquivalent[True, True, False]
p14873
sg8
(lp14874
(dp14875
g11
(lp14876
sg13
V\u005ctext{False}
p14877
sg15
I1
sass(g1696
g14824
g14870
I1
tp14878
(dp14879
g6
VEquivalent[a, b, c]
p14880
sg8
(lp14881
(dp14882
g11
(lp14883
sg13
Va\u29e6b\u29e6c
p14884
sg15
I2
sass(g1696
g14824
g14870
I2
tp14885
(dp14886
g6
VEquivalent[a, b, True, c]
p14887
sg8
(lp14888
(dp14889
g11
(lp14890
sg13
Va\u005ctext{\u005c&\u005c&}b\u005ctext{\u005c&\u005c&}c
p14891
sg15
I3
sass(g1696
g14824
VImplies
p14892
I0
tp14893
(dp14894
g6
VImplies[False, a]
p14895
sg8
(lp14896
(dp14897
g11
(lp14898
sg13
V\u005ctext{True}
p14899
sg15
I1
sass(g1696
g14824
g14892
I1
tp14900
(dp14901
g6
VImplies[True, a]
p14902
sg8
(lp14903
(dp14904
g11
(lp14905
sg13
g542
sg15
I2
sass(g1696
g14824
g14892
I2
tp14906
(dp14907
g6
VImplies[a, Implies[b, Implies[True, c]]]
p14908
sg8
(lp14909
(dp14910
g11
(lp14911
sg13
Va\uf523b\uf523c
p14912
sg15
I3
sass(g1696
g14824
VNoneTrue
p14913
I0
tp14914
(dp14915
g6
VNoneTrue[{1, 3, 5}, EvenQ]
p14916
sg8
(lp14917
(dp14918
g11
(lp14919
sg13
V\u005ctext{True}
p14920
sg15
I1
sass(g1696
g14824
g14913
I1
tp14921
(dp14922
g6
VNoneTrue[{1, 4, 5}, EvenQ]
p14923
sg8
(lp14924
(dp14925
g11
(lp14926
sg13
V\u005ctext{False}
p14927
sg15
I2
sass(g1696
g14824
VNot
p14928
I0
tp14929
(dp14930
g6
V!True
p14931
sg8
(lp14932
(dp14933
g11
(lp14934
sg13
V\u005ctext{False}
p14935
sg15
I1
sass(g1696
g14824
g14928
I1
tp14936
(dp14937
g6
V!False
p14938
sg8
(lp14939
(dp14940
g11
(lp14941
sg13
V\u005ctext{True}
p14942
sg15
I2
sass(g1696
g14824
g14928
I2
tp14943
(dp14944
g6
V!b
p14945
sg8
(lp14946
(dp14947
g11
(lp14948
sg13
V!b
p14949
sg15
I3
sass(g1696
g14824
VOr
p14950
I0
tp14951
(dp14952
g6
VFalse || True
p14953
sg8
(lp14954
(dp14955
g11
(lp14956
sg13
V\u005ctext{True}
p14957
sg15
I1
sass(g1696
g14824
g14950
I1
tp14958
(dp14959
g6
Va || False || b
p14960
sg8
(lp14961
(dp14962
g11
(lp14963
sg13
Va\u005ctext{$\u005cvert$$\u005cvert$}b
p14964
sg15
I2
sass(g1696
g14824
VXor
p14965
I0
tp14966
(dp14967
g6
VXor[False, True]
p14968
sg8
(lp14969
(dp14970
g11
(lp14971
sg13
V\u005ctext{True}
p14972
sg15
I1
sass(g1696
g14824
g14965
I1
tp14973
(dp14974
g6
VXor[True, True]
p14975
sg8
(lp14976
(dp14977
g11
(lp14978
sg13
V\u005ctext{False}
p14979
sg15
I2
sass(g1696
g14824
g14965
I2
tp14980
(dp14981
g6
VXor[a, False, b]
p14982
sg8
(lp14983
(dp14984
g11
(lp14985
sg13
Va\u22bbb
p14986
sg15
I3
sass(g1696
VManipulate
p14987
VManipulate
p14988
I0
tp14989
(dp14990
g6
VManipulate[N[Sin[y]], {y, 1, 20, 2}]
p14991
sg8
(lp14992
(dp14993
g11
(lp14994
(dp14995
g149
I01
sg150
VManipulate
p14996
sg152
Vjupyter
p14997
sg154
VManipulate::jupyter
p14998
sg156
VManipulate[] only works inside a Jupyter notebook.
p14999
sasg13
V\u005ctext{Manipulate}\u005cleft[N\u005cleft[\u005ctext{Sin}\u005cleft[y\u005cright]\u005cright],\u005cleft\u005c{y,1,20,2\u005cright\u005c}\u005cright]
p15000
sg15
I1
sass(g1696
g14987
g14988
I1
tp15001
(dp15002
g6
VManipulate[i ^ 3, {i, {2, x ^ 4, a}}]
p15003
sg8
(lp15004
(dp15005
g11
(lp15006
(dp15007
g149
I01
sg150
VManipulate
p15008
sg152
g14997
sg154
VManipulate::jupyter
p15009
sg156
g14999
sasg13
V\u005ctext{Manipulate}\u005cleft[i^3,\u005cleft\u005c{i,\u005cleft\u005c{2,x^4,a\u005cright\u005c}\u005cright\u005c}\u005cright]
p15010
sg15
I2
sass(g1696
g14987
g14988
I2
tp15011
(dp15012
g6
VManipulate[x ^ y, {x, 1, 20}, {y, 1, 3}]
p15013
sg8
(lp15014
(dp15015
g11
(lp15016
(dp15017
g149
I01
sg150
VManipulate
p15018
sg152
g14997
sg154
VManipulate::jupyter
p15019
sg156
g14999
sasg13
V\u005ctext{Manipulate}\u005cleft[x^y,\u005cleft\u005c{x,1,20\u005cright\u005c},\u005cleft\u005c{y,1,3\u005cright\u005c}\u005cright]
p15020
sg15
I3
sass(g1696
g14987
g14988
I3
tp15021
(dp15022
g6
VManipulate[N[1 / x], {{x, 1}, 0, 2}]
p15023
sg8
(lp15024
(dp15025
g11
(lp15026
(dp15027
g149
I01
sg150
VManipulate
p15028
sg152
g14997
sg154
VManipulate::jupyter
p15029
sg156
g14999
sasg13
V\u005ctext{Manipulate}\u005cleft[N\u005cleft[\u005cfrac{1}{x}\u005cright],\u005cleft\u005c{\u005cleft\u005c{x,1\u005cright\u005c},0,2\u005cright\u005c}\u005cright]
p15030
sg15
I4
sass(g1696
g14987
g14988
I4
tp15031
(dp15032
g6
VManipulate[N[1 / x], {{x, 1}, 0, 2, 0.1}]
p15033
sg8
(lp15034
(dp15035
g11
(lp15036
(dp15037
g149
I01
sg150
VManipulate
p15038
sg152
g14997
sg154
VManipulate::jupyter
p15039
sg156
g14999
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]
p15040
sg15
I5
sass(g1696
VQuantities
p15041
VKnownUnitQ
p15042
I0
tp15043
(dp15044
g6
VKnownUnitQ["Feet"]
p15045
sg8
(lp15046
(dp15047
g11
(lp15048
sg13
V\u005ctext{True}
p15049
sg15
I1
sass(g1696
g15041
g15042
I1
tp15050
(dp15051
g6
VKnownUnitQ["Foo"]
p15052
sg8
(lp15053
(dp15054
g11
(lp15055
sg13
V\u005ctext{False}
p15056
sg15
I2
sass(g1696
g15041
VQuantity
p15057
I0
tp15058
(dp15059
g6
VQuantity["Kilogram"]
p15060
sg8
(lp15061
(dp15062
g11
(lp15063
sg13
V1 \u005ctext{kilogram}
p15064
sg15
I1
sass(g1696
g15041
g15057
I1
tp15065
(dp15066
g6
VQuantity[10, "Meters"]
p15067
sg8
(lp15068
(dp15069
g11
(lp15070
sg13
V10 \u005ctext{meter}
p15071
sg15
I2
sass(g1696
g15041
g15057
I2
tp15072
(dp15073
g6
VQuantity[{10,20}, "Meters"]
p15074
sg8
(lp15075
(dp15076
g11
(lp15077
sg13
V\u005cleft\u005c{10 \u005ctext{meter},20 \u005ctext{meter}\u005cright\u005c}
p15078
sg15
I3
sass(g1696
g15041
VQuantityMagnitude
p15079
I0
tp15080
(dp15081
g6
VQuantityMagnitude[Quantity["Kilogram"]]
p15082
sg8
(lp15083
(dp15084
g11
(lp15085
sg13
V1
p15086
sg15
I1
sass(g1696
g15041
g15079
I1
tp15087
(dp15088
g6
VQuantityMagnitude[Quantity[10, "Meters"]]
p15089
sg8
(lp15090
(dp15091
g11
(lp15092
sg13
V10
p15093
sg15
I2
sass(g1696
g15041
g15079
I2
tp15094
(dp15095
g6
VQuantityMagnitude[Quantity[{10,20}, "Meters"]]
p15096
sg8
(lp15097
(dp15098
g11
(lp15099
sg13
V\u005cleft\u005c{10,20\u005cright\u005c}
p15100
sg15
I3
sass(g1696
g15041
VQuantityQ
p15101
I0
tp15102
(dp15103
g6
VQuantityQ[Quantity[3, "Meters"]]
p15104
sg8
(lp15105
(dp15106
g11
(lp15107
sg13
V\u005ctext{True}
p15108
sg15
I1
sass(g1696
g15041
g15101
I1
tp15109
(dp15110
g6
VQuantityQ[Quantity[3, "Maters"]]
p15111
sg8
(lp15112
(dp15113
g11
(lp15114
(dp15115
g149
I01
sg150
VQuantity
p15116
sg152
Vunkunit
p15117
sg154
VQuantity::unkunit
p15118
sg156
VUnable to interpret unit specification Maters.
p15119
sasg13
V\u005ctext{False}
p15120
sg15
I2
sass(g1696
g15041
VQuantityUnit
p15121
I0
tp15122
(dp15123
g6
VQuantityUnit[Quantity["Kilogram"]]
p15124
sg8
(lp15125
(dp15126
g11
(lp15127
sg13
V\u005ctext{kilogram}
p15128
sg15
I1
sass(g1696
g15041
g15121
I1
tp15129
(dp15130
g6
VQuantityUnit[Quantity[10, "Meters"]]
p15131
sg8
(lp15132
(dp15133
g11
(lp15134
sg13
V\u005ctext{meter}
p15135
sg15
I2
sass(g1696
g15041
g15121
I2
tp15136
(dp15137
g6
VQuantityUnit[Quantity[{10,20}, "Meters"]]
p15138
sg8
(lp15139
(dp15140
g11
(lp15141
sg13
V\u005cleft\u005c{\u005ctext{meter},\u005ctext{meter}\u005cright\u005c}
p15142
sg15
I3
sass(g1696
g15041
VUnitConvert
p15143
I0
tp15144
(dp15145
g6
VUnitConvert[Quantity[5.2, "miles"], "kilometers"]
p15146
sg8
(lp15147
(dp15148
g11
(lp15149
sg13
V8.36859 \u005ctext{kilometer}
p15150
sg15
I1
sass(g1696
g15041
g15143
I1
tp15151
(dp15152
g6
VUnitConvert[Quantity[3.8, "Pounds"]]
p15153
sg8
(lp15154
(dp15155
g11
(lp15156
sg13
V1.72365 \u005ctext{kilogram}
p15157
sg15
I2
sass(g1696
VNumber theoretic functions
p15158
VCoprimeQ
p15159
I0
tp15160
(dp15161
g6
VCoprimeQ[7, 9]
p15162
sg8
(lp15163
(dp15164
g11
(lp15165
sg13
V\u005ctext{True}
p15166
sg15
I1
sass(g1696
g15158
g15159
I1
tp15167
(dp15168
g6
VCoprimeQ[-4, 9]
p15169
sg8
(lp15170
(dp15171
g11
(lp15172
sg13
V\u005ctext{True}
p15173
sg15
I2
sass(g1696
g15158
g15159
I2
tp15174
(dp15175
g6
VCoprimeQ[12, 15]
p15176
sg8
(lp15177
(dp15178
g11
(lp15179
sg13
V\u005ctext{False}
p15180
sg15
I3
sass(g1696
g15158
g15159
I3
tp15181
(dp15182
g6
VCoprimeQ[1+2I, 1-I]
p15183
sg8
(lp15184
(dp15185
g11
(lp15186
sg13
V\u005ctext{True}
p15187
sg15
I4
sass(g1696
g15158
g15159
I4
tp15188
(dp15189
g6
VCoprimeQ[4+2I, 6+3I]
p15190
sg8
(lp15191
(dp15192
g11
(lp15193
sg13
V\u005ctext{True}
p15194
sg15
I5
sass(g1696
g15158
g15159
I5
tp15195
(dp15196
g6
VCoprimeQ[2, 3, 5]
p15197
sg8
(lp15198
(dp15199
g11
(lp15200
sg13
V\u005ctext{True}
p15201
sg15
I6
sass(g1696
g15158
g15159
I6
tp15202
(dp15203
g6
VCoprimeQ[2, 4, 5]
p15204
sg8
(lp15205
(dp15206
g11
(lp15207
sg13
V\u005ctext{False}
p15208
sg15
I7
sass(g1696
g15158
VDivisors
p15209
I0
tp15210
(dp15211
g6
VDivisors[96]
p15212
sg8
(lp15213
(dp15214
g11
(lp15215
sg13
V\u005cleft\u005c{1,2,3,4,6,8,12,16,24,32,48,96\u005cright\u005c}
p15216
sg15
I1
sass(g1696
g15158
g15209
I1
tp15217
(dp15218
g6
VDivisors[704]
p15219
sg8
(lp15220
(dp15221
g11
(lp15222
sg13
V\u005cleft\u005c{1,2,4,8,11,16,22,32,44,64,88,176,352,704\u005cright\u005c}
p15223
sg15
I2
sass(g1696
g15158
g15209
I2
tp15224
(dp15225
g6
VDivisors[{87, 106, 202, 305}]
p15226
sg8
(lp15227
(dp15228
g11
(lp15229
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}
p15230
sg15
I3
sass(g1696
g15158
VEvenQ
p15231
I0
tp15232
(dp15233
g6
VEvenQ[4]
p15234
sg8
(lp15235
(dp15236
g11
(lp15237
sg13
V\u005ctext{True}
p15238
sg15
I1
sass(g1696
g15158
g15231
I1
tp15239
(dp15240
g6
VEvenQ[-3]
p15241
sg8
(lp15242
(dp15243
g11
(lp15244
sg13
V\u005ctext{False}
p15245
sg15
I2
sass(g1696
g15158
g15231
I2
tp15246
(dp15247
g6
VEvenQ[n]
p15248
sg8
(lp15249
(dp15250
g11
(lp15251
sg13
V\u005ctext{False}
p15252
sg15
I3
sass(g1696
g15158
VFactorInteger
p15253
I0
tp15254
(dp15255
g6
Vfactors = FactorInteger[2010]
p15256
sg8
(lp15257
(dp15258
g11
(lp15259
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}
p15260
sg15
I1
sass(g1696
g15158
g15253
I1
tp15261
(dp15262
g6
VTimes @@ Power @@@ factors
p15263
sg8
(lp15264
(dp15265
g11
(lp15266
sg13
V2010
p15267
sg15
I2
sass(g1696
g15158
g15253
I2
tp15268
(dp15269
g6
VFactorInteger[2010 / 2011]
p15270
sg8
(lp15271
(dp15272
g11
(lp15273
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}
p15274
sg15
I3
sass(g1696
g15158
VFractionalPart
p15275
I0
tp15276
(dp15277
g6
VFractionalPart[4.1]
p15278
sg8
(lp15279
(dp15280
g11
(lp15281
sg13
V0.1
p15282
sg15
I1
sass(g1696
g15158
g15275
I1
tp15283
(dp15284
g6
VFractionalPart[-5.25]
p15285
sg8
(lp15286
(dp15287
g11
(lp15288
sg13
V-0.25
p15289
sg15
I2
sass(g1696
g15158
VGCD
p15290
I0
tp15291
(dp15292
g6
VGCD[20, 30]
p15293
sg8
(lp15294
(dp15295
g11
(lp15296
sg13
V10
p15297
sg15
I1
sass(g1696
g15158
g15290
I1
tp15298
(dp15299
g6
VGCD[10, y]
p15300
sg8
(lp15301
(dp15302
g11
(lp15303
sg13
V\u005ctext{GCD}\u005cleft[10,y\u005cright]
p15304
sg15
I2
sass(g1696
g15158
g15290
I2
tp15305
(dp15306
g6
VGCD[4, {10, 11, 12, 13, 14}]
p15307
sg8
(lp15308
(dp15309
g11
(lp15310
sg13
V\u005cleft\u005c{2,1,4,1,2\u005cright\u005c}
p15311
sg15
I3
sass(g1696
g15158
VIntegerExponent
p15312
I0
tp15313
(dp15314
g6
VIntegerExponent[16, 2]
p15315
sg8
(lp15316
(dp15317
g11
(lp15318
sg13
V4
p15319
sg15
I1
sass(g1696
g15158
g15312
I1
tp15320
(dp15321
g6
VIntegerExponent[-510000]
p15322
sg8
(lp15323
(dp15324
g11
(lp15325
sg13
V4
p15326
sg15
I2
sass(g1696
g15158
g15312
I2
tp15327
(dp15328
g6
VIntegerExponent[10, b]
p15329
sg8
(lp15330
(dp15331
g11
(lp15332
sg13
V\u005ctext{IntegerExponent}\u005cleft[10,b\u005cright]
p15333
sg15
I3
sass(g1696
g15158
VLCM
p15334
I0
tp15335
(dp15336
g6
VLCM[15, 20]
p15337
sg8
(lp15338
(dp15339
g11
(lp15340
sg13
V60
p15341
sg15
I1
sass(g1696
g15158
g15334
I1
tp15342
(dp15343
g6
VLCM[20, 30, 40, 50]
p15344
sg8
(lp15345
(dp15346
g11
(lp15347
sg13
V600
p15348
sg15
I2
sass(g1696
g15158
VMantissaExponent
p15349
I0
tp15350
(dp15351
g6
VMantissaExponent[2.5*10^20]
p15352
sg8
(lp15353
(dp15354
g11
(lp15355
sg13
V\u005cleft\u005c{0.25,21\u005cright\u005c}
p15356
sg15
I1
sass(g1696
g15158
g15349
I1
tp15357
(dp15358
g6
VMantissaExponent[125.24]
p15359
sg8
(lp15360
(dp15361
g11
(lp15362
sg13
V\u005cleft\u005c{0.12524,3\u005cright\u005c}
p15363
sg15
I2
sass(g1696
g15158
g15349
I2
tp15364
(dp15365
g6
VMantissaExponent[125., 2]
p15366
sg8
(lp15367
(dp15368
g11
(lp15369
sg13
V\u005cleft\u005c{0.976563,7\u005cright\u005c}
p15370
sg15
I3
sass(g1696
g15158
g15349
I3
tp15371
(dp15372
g6
VMantissaExponent[10, b]
p15373
sg8
(lp15374
(dp15375
g11
(lp15376
sg13
V\u005ctext{MantissaExponent}\u005cleft[10,b\u005cright]
p15377
sg15
I4
sass(g1696
g15158
VMod
p15378
I0
tp15379
(dp15380
g6
VMod[14, 6]
p15381
sg8
(lp15382
(dp15383
g11
(lp15384
sg13
V2
p15385
sg15
I1
sass(g1696
g15158
g15378
I1
tp15386
(dp15387
g6
VMod[-3, 4]
p15388
sg8
(lp15389
(dp15390
g11
(lp15391
sg13
V1
p15392
sg15
I2
sass(g1696
g15158
g15378
I2
tp15393
(dp15394
g6
VMod[-3, -4]
p15395
sg8
(lp15396
(dp15397
g11
(lp15398
sg13
V-3
p15399
sg15
I3
sass(g1696
g15158
g15378
I3
tp15400
(dp15401
g6
VMod[5, 0]
p15402
sg8
(lp15403
(dp15404
g11
(lp15405
(dp15406
g149
I01
sg150
VMod
p15407
sg152
Vdivz
p15408
sg154
VMod::divz
p15409
sg156
VThe argument 0 should be nonzero.
p15410
sasg13
V\u005ctext{Mod}\u005cleft[5,0\u005cright]
p15411
sg15
I4
sass(g1696
g15158
VNextPrime
p15412
I0
tp15413
(dp15414
g6
VNextPrime[10000]
p15415
sg8
(lp15416
(dp15417
g11
(lp15418
sg13
V10007
p15419
sg15
I1
sass(g1696
g15158
g15412
I1
tp15420
(dp15421
g6
VNextPrime[100, -5]
p15422
sg8
(lp15423
(dp15424
g11
(lp15425
sg13
V73
p15426
sg15
I2
sass(g1696
g15158
g15412
I2
tp15427
(dp15428
g6
VNextPrime[10, -5]
p15429
sg8
(lp15430
(dp15431
g11
(lp15432
sg13
V-2
p15433
sg15
I3
sass(g1696
g15158
g15412
I3
tp15434
(dp15435
g6
VNextPrime[100, 5]
p15436
sg8
(lp15437
(dp15438
g11
(lp15439
sg13
V113
p15440
sg15
I4
sass(g1696
g15158
g15412
I4
tp15441
(dp15442
g6
VNextPrime[5.5, 100]
p15443
sg8
(lp15444
(dp15445
g11
(lp15446
sg13
V563
p15447
sg15
I5
sass(g1696
g15158
g15412
I5
tp15448
(dp15449
g6
VNextPrime[5, 10.5]
p15450
sg8
(lp15451
(dp15452
g11
(lp15453
sg13
V\u005ctext{NextPrime}\u005cleft[5,10.5\u005cright]
p15454
sg15
I6
sass(g1696
g15158
VOddQ
p15455
I0
tp15456
(dp15457
g6
VOddQ[-3]
p15458
sg8
(lp15459
(dp15460
g11
(lp15461
sg13
V\u005ctext{True}
p15462
sg15
I1
sass(g1696
g15158
g15455
I1
tp15463
(dp15464
g6
VOddQ[0]
p15465
sg8
(lp15466
(dp15467
g11
(lp15468
sg13
V\u005ctext{False}
p15469
sg15
I2
sass(g1696
g15158
VPowerMod
p15470
I0
tp15471
(dp15472
g6
VPowerMod[2, 10000000, 3]
p15473
sg8
(lp15474
(dp15475
g11
(lp15476
sg13
V1
p15477
sg15
I1
sass(g1696
g15158
g15470
I1
tp15478
(dp15479
g6
VPowerMod[3, -2, 10]
p15480
sg8
(lp15481
(dp15482
g11
(lp15483
sg13
V9
p15484
sg15
I2
sass(g1696
g15158
g15470
I2
tp15485
(dp15486
g6
VPowerMod[0, -1, 2]
p15487
sg8
(lp15488
(dp15489
g11
(lp15490
(dp15491
g149
I01
sg150
VPowerMod
p15492
sg152
Vninv
p15493
sg154
VPowerMod::ninv
p15494
sg156
V0 is not invertible modulo 2.
p15495
sasg13
V\u005ctext{PowerMod}\u005cleft[0,-1,2\u005cright]
p15496
sg15
I3
sass(g1696
g15158
g15470
I3
tp15497
(dp15498
g6
VPowerMod[5, 2, 0]
p15499
sg8
(lp15500
(dp15501
g11
(lp15502
(dp15503
g149
I01
sg150
VPowerMod
p15504
sg152
g15408
sg154
VPowerMod::divz
p15505
sg156
VThe argument 0 should be nonzero.
p15506
sasg13
V\u005ctext{PowerMod}\u005cleft[5,2,0\u005cright]
p15507
sg15
I4
sass(g1696
g15158
VPrime
p15508
I0
tp15509
(dp15510
g6
VPrime[1]
p15511
sg8
(lp15512
(dp15513
g11
(lp15514
sg13
V2
p15515
sg15
I1
sass(g1696
g15158
g15508
I1
tp15516
(dp15517
g6
VPrime[167]
p15518
sg8
(lp15519
(dp15520
g11
(lp15521
sg13
V991
p15522
sg15
I2
sass(g1696
g15158
VPrimePi
p15523
I0
tp15524
(dp15525
g6
VPrimePi[100]
p15526
sg8
(lp15527
(dp15528
g11
(lp15529
sg13
V25
p15530
sg15
I1
sass(g1696
g15158
g15523
I1
tp15531
(dp15532
g6
VPrimePi[-1]
p15533
sg8
(lp15534
(dp15535
g11
(lp15536
sg13
V0
p15537
sg15
I2
sass(g1696
g15158
g15523
I2
tp15538
(dp15539
g6
VPrimePi[3.5]
p15540
sg8
(lp15541
(dp15542
g11
(lp15543
sg13
V2
p15544
sg15
I3
sass(g1696
g15158
g15523
I3
tp15545
(dp15546
g6
VPrimePi[E]
p15547
sg8
(lp15548
(dp15549
g11
(lp15550
sg13
V1
p15551
sg15
I4
sass(g1696
g15158
VPrimePowerQ
p15552
I0
tp15553
(dp15554
g6
VPrimePowerQ[9]
p15555
sg8
(lp15556
(dp15557
g11
(lp15558
sg13
V\u005ctext{True}
p15559
sg15
I1
sass(g1696
g15158
g15552
I1
tp15560
(dp15561
g6
VPrimePowerQ[52142]
p15562
sg8
(lp15563
(dp15564
g11
(lp15565
sg13
V\u005ctext{False}
p15566
sg15
I2
sass(g1696
g15158
g15552
I2
tp15567
(dp15568
g6
VPrimePowerQ[-8]
p15569
sg8
(lp15570
(dp15571
g11
(lp15572
sg13
V\u005ctext{True}
p15573
sg15
I3
sass(g1696
g15158
g15552
I3
tp15574
(dp15575
g6
VPrimePowerQ[371293]
p15576
sg8
(lp15577
(dp15578
g11
(lp15579
sg13
V\u005ctext{True}
p15580
sg15
I4
sass(g1696
g15158
VPrimeQ
p15581
I0
tp15582
(dp15583
g6
VPrimeQ[2]
p15584
sg8
(lp15585
(dp15586
g11
(lp15587
sg13
V\u005ctext{True}
p15588
sg15
I1
sass(g1696
g15158
g15581
I1
tp15589
(dp15590
g6
VPrimeQ[-3]
p15591
sg8
(lp15592
(dp15593
g11
(lp15594
sg13
V\u005ctext{True}
p15595
sg15
I2
sass(g1696
g15158
g15581
I2
tp15596
(dp15597
g6
VPrimeQ[137]
p15598
sg8
(lp15599
(dp15600
g11
(lp15601
sg13
V\u005ctext{True}
p15602
sg15
I3
sass(g1696
g15158
g15581
I3
tp15603
(dp15604
g6
VPrimeQ[2 ^ 127 - 1]
p15605
sg8
(lp15606
(dp15607
g11
(lp15608
sg13
V\u005ctext{True}
p15609
sg15
I4
sass(g1696
g15158
g15581
I6
tp15610
(dp15611
g6
VSelect[Range[100], PrimeQ]
p15612
sg8
(lp15613
(dp15614
g11
(lp15615
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}
p15616
sg15
I5
sass(g1696
g15158
g15581
I7
tp15617
(dp15618
g6
VPrimeQ[Range[20]]
p15619
sg8
(lp15620
(dp15621
g11
(lp15622
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}
p15623
sg15
I6
sass(g1696
g15158
VQuotient
p15624
I0
tp15625
(dp15626
g6
VQuotient[23, 7]
p15627
sg8
(lp15628
(dp15629
g11
(lp15630
sg13
V3
p15631
sg15
I1
sass(g1696
g15158
VQuotientRemainder
p15632
I0
tp15633
(dp15634
g6
VQuotientRemainder[23, 7]
p15635
sg8
(lp15636
(dp15637
g11
(lp15638
sg13
V\u005cleft\u005c{3,2\u005cright\u005c}
p15639
sg15
I1
sass(g1696
g15158
VRandomPrime
p15640
I0
tp15641
(dp15642
g6
VRandomPrime[{14, 17}]
p15643
sg8
(lp15644
(dp15645
g11
(lp15646
sg13
V17
p15647
sg15
I1
sass(g1696
g15158
g15640
I1
tp15648
(dp15649
g6
VRandomPrime[{14, 16}, 1]
p15650
sg8
(lp15651
(dp15652
g11
(lp15653
(dp15654
g149
I01
sg150
VRandomPrime
p15655
sg152
Vnoprime
p15656
sg154
VRandomPrime::noprime
p15657
sg156
VThere are no primes in the specified interval.
p15658
sasg13
V\u005ctext{RandomPrime}\u005cleft[\u005cleft\u005c{14,16\u005cright\u005c},1\u005cright]
p15659
sg15
I2
sass(g1696
g15158
g15640
I2
tp15660
(dp15661
g6
VRandomPrime[{8,12}, 3]
p15662
sg8
(lp15663
(dp15664
g11
(lp15665
sg13
V\u005cleft\u005c{11,11,11\u005cright\u005c}
p15666
sg15
I3
sass(g1696
g15158
g15640
I3
tp15667
(dp15668
g6
VRandomPrime[{10,30}, {2,5}]
p15669
sg8
(lp15670
(dp15671
g11
(lp15672
sg13
V\u005cleft\u005c{\u005cleft\u005c{23,23,23,23,23\u005cright\u005c},\u005cleft\u005c{23,23,23,23,23\u005cright\u005c}\u005cright\u005c}
p15673
sg15
I4
sass(g1696
VNumeric Evaluation
p15674
VChop
p15675
I0
tp15676
(dp15677
g6
VChop[10.0 ^ -16]
p15678
sg8
(lp15679
(dp15680
g11
(lp15681
sg13
V0
p15682
sg15
I1
sass(g1696
g15674
g15675
I1
tp15683
(dp15684
g6
VChop[10.0 ^ -9]
p15685
sg8
(lp15686
(dp15687
g11
(lp15688
sg13
V1.\u005ctimes 10^{-9}
p15689
sg15
I2
sass(g1696
g15674
g15675
I2
tp15690
(dp15691
g6
VChop[10 ^ -11 I]
p15692
sg8
(lp15693
(dp15694
g11
(lp15695
sg13
V\u005cfrac{I}{100000000000}
p15696
sg15
I3
sass(g1696
g15674
g15675
I3
tp15697
(dp15698
g6
VChop[0. + 10 ^ -11 I]
p15699
sg8
(lp15700
(dp15701
g11
(lp15702
sg13
V0
p15703
sg15
I4
sass(g1696
g15674
VHash
p15704
I0
tp15705
(dp15706
g6
VHash[{a, b, c}, "xyzstr"]
p15707
sg8
(lp15708
(dp15709
g11
(lp15710
sg13
V\u005ctext{Hash}\u005cleft[\u005cleft\u005c{a,b,c\u005cright\u005c},\u005ctext{xyzstr}\u005cright]
p15711
sg15
I1
sass(g1696
g15674
VIntegerDigits
p15712
I0
tp15713
(dp15714
g6
VIntegerDigits[76543]
p15715
sg8
(lp15716
(dp15717
g11
(lp15718
sg13
V\u005cleft\u005c{7,6,5,4,3\u005cright\u005c}
p15719
sg15
I1
sass(g1696
g15674
g15712
I1
tp15720
(dp15721
g6
VIntegerDigits[-76543]
p15722
sg8
(lp15723
(dp15724
g11
(lp15725
sg13
V\u005cleft\u005c{7,6,5,4,3\u005cright\u005c}
p15726
sg15
I2
sass(g1696
g15674
g15712
I2
tp15727
(dp15728
g6
VIntegerDigits[15, 16]
p15729
sg8
(lp15730
(dp15731
g11
(lp15732
sg13
V\u005cleft\u005c{15\u005cright\u005c}
p15733
sg15
I3
sass(g1696
g15674
g15712
I3
tp15734
(dp15735
g6
VIntegerDigits[1234, 16]
p15736
sg8
(lp15737
(dp15738
g11
(lp15739
sg13
V\u005cleft\u005c{4,13,2\u005cright\u005c}
p15740
sg15
I4
sass(g1696
g15674
g15712
I4
tp15741
(dp15742
g6
VIntegerDigits[1234, 10, 5]
p15743
sg8
(lp15744
(dp15745
g11
(lp15746
sg13
V\u005cleft\u005c{0,1,2,3,4\u005cright\u005c}
p15747
sg15
I5
sass(g1696
g15674
V$MachineEpsilon
p15748
I0
tp15749
(dp15750
g6
V$MachineEpsilon
p15751
sg8
(lp15752
(dp15753
g11
(lp15754
sg13
V2.22045\u005ctimes 10^{-16}
p15755
sg15
I1
sass(g1696
g15674
g15748
I1
tp15756
(dp15757
g6
Vx = 1.0 + {0.4, 0.5, 0.6} $MachineEpsilon;
p15758
sg8
(lp15759
(dp15760
g11
(lp15761
sg13
Nsg15
I2
sass(g1696
g15674
g15748
I2
tp15762
(dp15763
g6
Vx - 1
p15764
sg8
(lp15765
(dp15766
g11
(lp15767
sg13
V\u005cleft\u005c{0.,0.,2.22045\u005ctimes 10^{-16}\u005cright\u005c}
p15768
sg15
I3
sass(g1696
g15674
VMachinePrecision
p15769
I0
tp15770
(dp15771
g6
VN[MachinePrecision]
p15772
sg8
(lp15773
(dp15774
g11
(lp15775
sg13
V15.9546
p15776
sg15
I1
sass(g1696
g15674
g15769
I1
tp15777
(dp15778
g6
VN[MachinePrecision, 30]
p15779
sg8
(lp15780
(dp15781
g11
(lp15782
sg13
V15.9545897701910033463281614204
p15783
sg15
I2
sass(g1696
g15674
V$MachinePrecision
p15784
I0
tp15785
(dp15786
g6
V$MachinePrecision
p15787
sg8
(lp15788
(dp15789
g11
(lp15790
sg13
V15.9546
p15791
sg15
I1
sass(g1696
g15674
V$MaxPrecision
p15792
I0
tp15793
(dp15794
g6
V$MaxPrecision
p15795
sg8
(lp15796
(dp15797
g11
(lp15798
sg13
g165
sg15
I1
sass(g1696
g15674
g15792
I1
tp15799
(dp15800
g6
V$MaxPrecision = 10;
p15801
sg8
(lp15802
(dp15803
g11
(lp15804
sg13
Nsg15
I2
sass(g1696
g15674
g15792
I2
tp15805
(dp15806
g6
VN[Pi, 11]
p15807
sg8
(lp15808
(dp15809
g11
(lp15810
(dp15811
g149
I01
sg150
VN
p15812
sg152
Vpreclg
p15813
sg154
VN::preclg
p15814
sg156
VRequested precision 11 is larger than $MaxPrecision. Using current $MaxPrecision of 10. instead. $MaxPrecision = Infinity specifies that any precision should be allowed.
p15815
sasg13
V3.141592654
p15816
sg15
I3
sass(g1696
g15674
V$MinPrecision
p15817
I0
tp15818
(dp15819
g6
V$MinPrecision
p15820
sg8
(lp15821
(dp15822
g11
(lp15823
sg13
V0
p15824
sg15
I1
sass(g1696
g15674
g15817
I1
tp15825
(dp15826
g6
V$MinPrecision = 10;
p15827
sg8
(lp15828
(dp15829
g11
(lp15830
sg13
Nsg15
I2
sass(g1696
g15674
g15817
I2
tp15831
(dp15832
g6
VN[Pi, 9]
p15833
sg8
(lp15834
(dp15835
g11
(lp15836
(dp15837
g149
I01
sg150
g15812
sg152
Vprecsm
p15838
sg154
VN::precsm
p15839
sg156
VRequested precision 9 is smaller than $MinPrecision. Using current $MinPrecision of 10. instead.
p15840
sasg13
V3.141592654
p15841
sg15
I3
sass(g1696
g15674
g15812
I0
tp15842
(dp15843
g6
VN[Pi, 50]
p15844
sg8
(lp15845
(dp15846
g11
(lp15847
sg13
V3.1415926535897932384626433832795028841971693993751
p15848
sg15
I1
sass(g1696
g15674
g15812
I1
tp15849
(dp15850
g6
VN[1/7]
p15851
sg8
(lp15852
(dp15853
g11
(lp15854
sg13
V0.142857
p15855
sg15
I2
sass(g1696
g15674
g15812
I2
tp15856
(dp15857
g6
VN[1/7, 5]
p15858
sg8
(lp15859
(dp15860
g11
(lp15861
sg13
V0.14286
p15862
sg15
I3
sass(g1696
g15674
g15812
I3
tp15863
(dp15864
g6
VN[a] = 10.9
p15865
sg8
(lp15866
(dp15867
g11
(lp15868
sg13
V10.9
p15869
sg15
I4
sass(g1696
g15674
g15812
I4
tp15870
(dp15871
g6
g542
sg8
(lp15872
(dp15873
g11
(lp15874
sg13
g542
sg15
I5
sass(g1696
g15674
g15812
I5
tp15875
(dp15876
g6
VN[a + b]
p15877
sg8
(lp15878
(dp15879
g11
(lp15880
sg13
V10.9+b
p15881
sg15
I6
sass(g1696
g15674
g15812
I6
tp15882
(dp15883
g6
VN[a, 20]
p15884
sg8
(lp15885
(dp15886
g11
(lp15887
sg13
g542
sg15
I7
sass(g1696
g15674
g15812
I7
tp15888
(dp15889
g6
VN[a, 20] = 11;
p15890
sg8
(lp15891
(dp15892
g11
(lp15893
sg13
Nsg15
I8
sass(g1696
g15674
g15812
I8
tp15894
(dp15895
g6
VN[a + b, 20]
p15896
sg8
(lp15897
(dp15898
g11
(lp15899
sg13
V11.000000000000000000+b
p15900
sg15
I9
sass(g1696
g15674
g15812
I9
tp15901
(dp15902
g6
VN[f[a, b]]
p15903
sg8
(lp15904
(dp15905
g11
(lp15906
sg13
Vf\u005cleft[10.9,b\u005cright]
p15907
sg15
I10
sass(g1696
g15674
g15812
I10
tp15908
(dp15909
g6
VSetAttributes[f, NHoldAll]
p15910
sg8
(lp15911
(dp15912
g11
(lp15913
sg13
Nsg15
I11
sass(g1696
g15674
g15812
I11
tp15914
(dp15915
g6
VN[f[a, b]]
p15916
sg8
(lp15917
(dp15918
g11
(lp15919
sg13
Vf\u005cleft[a,b\u005cright]
p15920
sg15
I12
sass(g1696
g15674
g15812
I12
tp15921
(dp15922
g6
VN[c, p_?(#>10&)] := p
p15923
sg8
(lp15924
(dp15925
g11
(lp15926
sg13
Nsg15
I13
sass(g1696
g15674
g15812
I13
tp15927
(dp15928
g6
VN[c, 3]
p15929
sg8
(lp15930
(dp15931
g11
(lp15932
sg13
g444
sg15
I14
sass(g1696
g15674
g15812
I14
tp15933
(dp15934
g6
VN[c, 11]
p15935
sg8
(lp15936
(dp15937
g11
(lp15938
sg13
V11.000000000
p15939
sg15
I15
sass(g1696
g15674
g15812
I15
tp15940
(dp15941
g6
VN[d] ^= 5;
p15942
sg8
(lp15943
(dp15944
g11
(lp15945
sg13
Nsg15
I16
sass(g1696
g15674
g15812
I16
tp15946
(dp15947
g6
VUpValues[d]
p15948
sg8
(lp15949
(dp15950
g11
(lp15951
sg13
V\u005cleft\u005c{\u005cright\u005c}
p15952
sg15
I17
sass(g1696
g15674
g15812
I17
tp15953
(dp15954
g6
VNValues[d]
p15955
sg8
(lp15956
(dp15957
g11
(lp15958
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[N\u005cleft[d,\u005ctext{MachinePrecision}\u005cright]\u005cright]\u005ctext{:>}5\u005cright\u005c}
p15959
sg15
I18
sass(g1696
g15674
g15812
I18
tp15960
(dp15961
g6
Ve /: N[e] = 6;
p15962
sg8
(lp15963
(dp15964
g11
(lp15965
sg13
Nsg15
I19
sass(g1696
g15674
g15812
I19
tp15966
(dp15967
g6
VN[e]
p15968
sg8
(lp15969
(dp15970
g11
(lp15971
sg13
V6.
p15972
sg15
I20
sass(g1696
g15674
g15812
I20
tp15973
(dp15974
g6
Vf /: N[e[f]] = 7;
p15975
sg8
(lp15976
(dp15977
g11
(lp15978
(dp15979
g149
I01
sg150
VTagSet
p15980
sg152
g4590
sg154
VTagSet::tagnfd
p15981
sg156
VTag f not found or too deep for an assigned rule.
p15982
sasg13
Nsg15
I21
sass(g1696
g15674
g15812
I21
tp15983
(dp15984
g6
VN[g[x_, y_], p_] := x + y * Pi /; x + y > 3
p15985
sg8
(lp15986
(dp15987
g11
(lp15988
sg13
Nsg15
I22
sass(g1696
g15674
g15812
I22
tp15989
(dp15990
g6
VSetAttributes[g, NHoldRest]
p15991
sg8
(lp15992
(dp15993
g11
(lp15994
sg13
Nsg15
I23
sass(g1696
g15674
g15812
I23
tp15995
(dp15996
g6
VN[g[1, 1]]
p15997
sg8
(lp15998
(dp15999
g11
(lp16000
sg13
Vg\u005cleft[1.,1\u005cright]
p16001
sg15
I24
sass(g1696
g15674
g15812
I24
tp16002
(dp16003
g6
VN[g[2, 2]] // InputForm
p16004
sg8
(lp16005
(dp16006
g11
(lp16007
sg13
V8.283185307179586
p16008
sg15
I25
sass(g1696
g15674
g15812
I25
tp16009
(dp16010
g6
VN[Exp[0.1], 100]
p16011
sg8
(lp16012
(dp16013
g11
(lp16014
sg13
V1.10517
p16015
sg15
I26
sass(g1696
g15674
g15812
I26
tp16016
(dp16017
g6
V% // Precision
p16018
sg8
(lp16019
(dp16020
g11
(lp16021
sg13
V\u005ctext{MachinePrecision}
p16022
sg15
I27
sass(g1696
g15674
g15812
I27
tp16023
(dp16024
g6
VN[Exp[1/10], 100]
p16025
sg8
(lp16026
(dp16027
g11
(lp16028
sg13
V1.105170918075647624811707826490246668224547194737518718792863289440967966747654302989143318970748654
p16029
sg15
I28
sass(g1696
g15674
g15812
I28
tp16030
(dp16031
g6
V% // Precision
p16032
sg8
(lp16033
(dp16034
g11
(lp16035
sg13
V100.
p16036
sg15
I29
sass(g1696
g15674
g15812
I29
tp16037
(dp16038
g6
VN[Exp[1.0`20], 100]
p16039
sg8
(lp16040
(dp16041
g11
(lp16042
sg13
V2.7182818284590452354
p16043
sg15
I30
sass(g1696
g15674
g15812
I30
tp16044
(dp16045
g6
V% // Precision
p16046
sg8
(lp16047
(dp16048
g11
(lp16049
sg13
V20.
p16050
sg15
I31
sass(g1696
g15674
VNumericQ
p16051
I0
tp16052
(dp16053
g6
VNumericQ[2]
p16054
sg8
(lp16055
(dp16056
g11
(lp16057
sg13
V\u005ctext{True}
p16058
sg15
I1
sass(g1696
g15674
g16051
I1
tp16059
(dp16060
g6
VNumericQ[Sqrt[Pi]]
p16061
sg8
(lp16062
(dp16063
g11
(lp16064
sg13
V\u005ctext{True}
p16065
sg15
I2
sass(g1696
g15674
g16051
I2
tp16066
(dp16067
g6
VNumberQ[Sqrt[Pi]]
p16068
sg8
(lp16069
(dp16070
g11
(lp16071
sg13
V\u005ctext{False}
p16072
sg15
I3
sass(g1696
g15674
VPrecision
p16073
I0
tp16074
(dp16075
g6
VPrecision[1]
p16076
sg8
(lp16077
(dp16078
g11
(lp16079
sg13
g165
sg15
I1
sass(g1696
g15674
g16073
I1
tp16080
(dp16081
g6
VPrecision[1/2]
p16082
sg8
(lp16083
(dp16084
g11
(lp16085
sg13
g165
sg15
I2
sass(g1696
g15674
g16073
I2
tp16086
(dp16087
g6
VPrecision[0.5]
p16088
sg8
(lp16089
(dp16090
g11
(lp16091
sg13
V\u005ctext{MachinePrecision}
p16092
sg15
I3
sass(g1696
g15674
VRationalize
p16093
I0
tp16094
(dp16095
g6
VRationalize[2.2]
p16096
sg8
(lp16097
(dp16098
g11
(lp16099
sg13
V\u005cfrac{11}{5}
p16100
sg15
I1
sass(g1696
g15674
g16093
I1
tp16101
(dp16102
g6
VRationalize[N[Pi]]
p16103
sg8
(lp16104
(dp16105
g11
(lp16106
sg13
V3.14159
p16107
sg15
I2
sass(g1696
g15674
g16093
I2
tp16108
(dp16109
g6
VRationalize[N[Pi], 0]
p16110
sg8
(lp16111
(dp16112
g11
(lp16113
sg13
V\u005cfrac{245850922}{78256779}
p16114
sg15
I3
sass(g1696
g15674
VRealDigits
p16115
I0
tp16116
(dp16117
g6
VRealDigits[123.55555]
p16118
sg8
(lp16119
(dp16120
g11
(lp16121
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}
p16122
sg15
I1
sass(g1696
g15674
g16115
I1
tp16123
(dp16124
g6
VRealDigits[0.000012355555]
p16125
sg8
(lp16126
(dp16127
g11
(lp16128
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}
p16129
sg15
I2
sass(g1696
g15674
g16115
I2
tp16130
(dp16131
g6
VRealDigits[-123.55555]
p16132
sg8
(lp16133
(dp16134
g11
(lp16135
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}
p16136
sg15
I3
sass(g1696
g15674
g16115
I5
tp16137
(dp16138
g6
VRealDigits[Pi, 10, 25]
p16139
sg8
(lp16140
(dp16141
g11
(lp16142
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}
p16143
sg15
I4
sass(g1696
g15674
g16115
I7
tp16144
(dp16145
g6
VRealDigits[19 / 7]
p16146
sg8
(lp16147
(dp16148
g11
(lp16149
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}
p16150
sg15
I5
sass(g1696
g15674
g16115
I10
tp16151
(dp16152
g6
VRealDigits[Pi, 10, 20, -5]
p16153
sg8
(lp16154
(dp16155
g11
(lp16156
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}
p16157
sg15
I6
sass(g1696
g15674
g16115
I12
tp16158
(dp16159
g6
VRealDigits[Pi, 10, 1, -10000]
p16160
sg8
(lp16161
(dp16162
g11
(lp16163
sg13
V\u005cleft\u005c{\u005cleft\u005c{8\u005cright\u005c},-9999\u005cright\u005c}
p16164
sg15
I7
sass(g1696
g15674
g16115
I26
tp16165
(dp16166
g6
VRealDigits[123.45, 10, 18]
p16167
sg8
(lp16168
(dp16169
g11
(lp16170
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}
p16171
sg15
I8
sass(g1696
g15674
VRound
p16172
I0
tp16173
(dp16174
g6
VRound[10.6]
p16175
sg8
(lp16176
(dp16177
g11
(lp16178
sg13
V11
p16179
sg15
I1
sass(g1696
g15674
g16172
I1
tp16180
(dp16181
g6
VRound[0.06, 0.1]
p16182
sg8
(lp16183
(dp16184
g11
(lp16185
sg13
V0.1
p16186
sg15
I2
sass(g1696
g15674
g16172
I2
tp16187
(dp16188
g6
VRound[0.04, 0.1]
p16189
sg8
(lp16190
(dp16191
g11
(lp16192
sg13
V0.
p16193
sg15
I3
sass(g1696
g15674
g16172
I3
tp16194
(dp16195
g6
VRound[Pi, .5]
p16196
sg8
(lp16197
(dp16198
g11
(lp16199
sg13
V3.
p16200
sg15
I4
sass(g1696
g15674
g16172
I4
tp16201
(dp16202
g6
VRound[Pi^2]
p16203
sg8
(lp16204
(dp16205
g11
(lp16206
sg13
V10
p16207
sg15
I5
sass(g1696
g15674
g16172
I5
tp16208
(dp16209
g6
VRound[2.6, 1/3]
p16210
sg8
(lp16211
(dp16212
g11
(lp16213
sg13
V\u005cfrac{8}{3}
p16214
sg15
I6
sass(g1696
g15674
g16172
I6
tp16215
(dp16216
g6
VRound[10, Pi]
p16217
sg8
(lp16218
(dp16219
g11
(lp16220
sg13
V3 \u005ctext{Pi}
p16221
sg15
I7
sass(g1696
g15674
g16172
I7
tp16222
(dp16223
g6
VRound[6/(2 + 3 I)]
p16224
sg8
(lp16225
(dp16226
g11
(lp16227
sg13
V1-I
p16228
sg15
I8
sass(g1696
g15674
g16172
I8
tp16229
(dp16230
g6
VRound[1 + 2 I, 2 I]
p16231
sg8
(lp16232
(dp16233
g11
(lp16234
sg13
V2 I
p16235
sg15
I9
sass(g1696
g15674
g16172
I9
tp16236
(dp16237
g6
VRound[-1.4]
p16238
sg8
(lp16239
(dp16240
g11
(lp16241
sg13
V-1
p16242
sg15
I10
sass(g1696
g15674
g16172
I10
tp16243
(dp16244
g6
VRound[x]
p16245
sg8
(lp16246
(dp16247
g11
(lp16248
sg13
V\u005ctext{Round}\u005cleft[x\u005cright]
p16249
sg15
I11
sass(g1696
g15674
g16172
I11
tp16250
(dp16251
g6
VRound[1.5, k]
p16252
sg8
(lp16253
(dp16254
g11
(lp16255
sg13
V\u005ctext{Round}\u005cleft[1.5,k\u005cright]
p16256
sg15
I12
sass(g1696
VOptions and Default Arguments
p16257
VDefault
p16258
I0
tp16259
(dp16260
g6
VDefault[f] = 1
p16261
sg8
(lp16262
(dp16263
g11
(lp16264
sg13
V1
p16265
sg15
I1
sass(g1696
g16257
g16258
I1
tp16266
(dp16267
g6
Vf[x_.] := x ^ 2
p16268
sg8
(lp16269
(dp16270
g11
(lp16271
sg13
Nsg15
I2
sass(g1696
g16257
g16258
I2
tp16272
(dp16273
g6
Vf[]
p16274
sg8
(lp16275
(dp16276
g11
(lp16277
sg13
V1
p16278
sg15
I3
sass(g1696
g16257
g16258
I3
tp16279
(dp16280
g6
VDefaultValues[f]
p16281
sg8
(lp16282
(dp16283
g11
(lp16284
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[f\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p16285
sg15
I4
sass(g1696
g16257
g16258
I4
tp16286
(dp16287
g6
VDefault[h, k_, n_] := {k, n}
p16288
sg8
(lp16289
(dp16290
g11
(lp16291
sg13
Nsg15
I5
sass(g1696
g16257
g16258
I5
tp16292
(dp16293
g6
Vh[] /. h[___, ___, x_., y_., ___] -> {x, y}
p16294
sg8
(lp16295
(dp16296
g11
(lp16297
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,5\u005cright\u005c},\u005cleft\u005c{4,5\u005cright\u005c}\u005cright\u005c}
p16298
sg15
I6
sass(g1696
g16257
VFilterRules
p16299
I0
tp16300
(dp16301
g6
VFilterRules[{x -> 100, y -> 1000}, x]
p16302
sg8
(lp16303
(dp16304
g11
(lp16305
sg13
V\u005cleft\u005c{x->100\u005cright\u005c}
p16306
sg15
I1
sass(g1696
g16257
g16299
I1
tp16307
(dp16308
g6
VFilterRules[{x -> 100, y -> 1000, z -> 10000}, {a, b, x, z}]
p16309
sg8
(lp16310
(dp16311
g11
(lp16312
sg13
V\u005cleft\u005c{x->100,z->10000\u005cright\u005c}
p16313
sg15
I2
sass(g1696
g16257
VNotOptionQ
p16314
I0
tp16315
(dp16316
g6
VNotOptionQ[x]
p16317
sg8
(lp16318
(dp16319
g11
(lp16320
sg13
V\u005ctext{True}
p16321
sg15
I1
sass(g1696
g16257
g16314
I1
tp16322
(dp16323
g6
VNotOptionQ[2]
p16324
sg8
(lp16325
(dp16326
g11
(lp16327
sg13
V\u005ctext{True}
p16328
sg15
I2
sass(g1696
g16257
g16314
I2
tp16329
(dp16330
g6
VNotOptionQ["abc"]
p16331
sg8
(lp16332
(dp16333
g11
(lp16334
sg13
V\u005ctext{True}
p16335
sg15
I3
sass(g1696
g16257
g16314
I3
tp16336
(dp16337
g6
VNotOptionQ[a -> True]
p16338
sg8
(lp16339
(dp16340
g11
(lp16341
sg13
V\u005ctext{False}
p16342
sg15
I4
sass(g1696
g16257
VOptionQ
p16343
I0
tp16344
(dp16345
g6
VOptionQ[a -> True]
p16346
sg8
(lp16347
(dp16348
g11
(lp16349
sg13
V\u005ctext{True}
p16350
sg15
I1
sass(g1696
g16257
g16343
I1
tp16351
(dp16352
g6
VOptionQ[a :> True]
p16353
sg8
(lp16354
(dp16355
g11
(lp16356
sg13
V\u005ctext{True}
p16357
sg15
I2
sass(g1696
g16257
g16343
I2
tp16358
(dp16359
g6
VOptionQ[{a -> True}]
p16360
sg8
(lp16361
(dp16362
g11
(lp16363
sg13
V\u005ctext{True}
p16364
sg15
I3
sass(g1696
g16257
g16343
I3
tp16365
(dp16366
g6
VOptionQ[{a :> True}]
p16367
sg8
(lp16368
(dp16369
g11
(lp16370
sg13
V\u005ctext{True}
p16371
sg15
I4
sass(g1696
g16257
g16343
I4
tp16372
(dp16373
g6
VOptionQ[x]
p16374
sg8
(lp16375
(dp16376
g11
(lp16377
sg13
V\u005ctext{False}
p16378
sg15
I5
sass(g1696
g16257
VOptionValue
p16379
I0
tp16380
(dp16381
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[a]}
p16382
sg8
(lp16383
(dp16384
g11
(lp16385
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p16386
sg15
I1
sass(g1696
g16257
g16379
I1
tp16387
(dp16388
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[b]}
p16389
sg8
(lp16390
(dp16391
g11
(lp16392
(dp16393
g149
I01
sg150
VOptionValue
p16394
sg152
Voptnf
p16395
sg154
VOptionValue::optnf
p16396
sg156
VOption name b not found.
p16397
sasg13
V\u005cleft\u005c{\u005ctext{OptionValue}\u005cleft[b\u005cright]\u005cright\u005c}
p16398
sg15
I2
sass(g1696
g16257
g16379
I2
tp16399
(dp16400
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[a+b]}
p16401
sg8
(lp16402
(dp16403
g11
(lp16404
(dp16405
g149
I01
sg150
VOptionValue
p16406
sg152
g4880
sg154
VOptionValue::sym
p16407
sg156
VArgument a + b at position 1 is expected to be a symbol.
p16408
sasg13
V\u005cleft\u005c{\u005ctext{OptionValue}\u005cleft[a+b\u005cright]\u005cright\u005c}
p16409
sg15
I3
sass(g1696
g16257
g16379
I3
tp16410
(dp16411
g6
Vf[a->5] /. f[OptionsPattern[{}]] -> {OptionValue[Symbol["a"]]}
p16412
sg8
(lp16413
(dp16414
g11
(lp16415
sg13
V\u005cleft\u005c{5\u005cright\u005c}
p16416
sg15
I4
sass(g1696
g16257
VOptions
p16417
I0
tp16418
(dp16419
g6
VOptions[f] = {n -> 2}
p16420
sg8
(lp16421
(dp16422
g11
(lp16423
sg13
V\u005cleft\u005c{n->2\u005cright\u005c}
p16424
sg15
I1
sass(g1696
g16257
g16417
I1
tp16425
(dp16426
g6
VOptions[f]
p16427
sg8
(lp16428
(dp16429
g11
(lp16430
sg13
V\u005cleft\u005c{n\u005ctext{:>}2\u005cright\u005c}
p16431
sg15
I2
sass(g1696
g16257
g16417
I2
tp16432
(dp16433
g6
Vf[x_, OptionsPattern[f]] := x ^ OptionValue[n]
p16434
sg8
(lp16435
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g11
(lp16437
sg13
Nsg15
I3
sass(g1696
g16257
g16417
I3
tp16438
(dp16439
g6
Vf[x]
p16440
sg8
(lp16441
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g11
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Vx^2
p16444
sg15
I4
sass(g1696
g16257
g16417
I4
tp16445
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g6
Vf[x, n -> 3]
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sg8
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Vx^3
p16451
sg15
I5
sass(g1696
g16257
g16417
I8
tp16452
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g6
Vf[a :> Print["value"]] /. f[OptionsPattern[{}]] :> (OptionValue[a]; Print["between"]; OptionValue[a]);
p16454
sg8
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g11
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g149
I00
sg156
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p16459
sa(dp16460
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sg156
Vbetween
p16461
sa(dp16462
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I00
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p16463
sasg13
Nsg15
I6
sass(g1696
g16257
g16417
I9
tp16464
(dp16465
g6
Vf[a -> Print["value"]] /. f[OptionsPattern[{}]] :> (OptionValue[a]; Print["between"]; OptionValue[a]);
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sg8
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Vvalue
p16471
sa(dp16472
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Vbetween
p16473
sasg13
Nsg15
I7
sass(g1696
g16257
g16417
I10
tp16474
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g6
VOptions[f] = {a}
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sg8
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I01
sg150
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Voptions
p16482
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VOptions::options
p16483
sg156
V{a} is not a valid list of option rules.
p16484
sasg13
V\u005cleft\u005c{a\u005cright\u005c}
p16485
sg15
I8
sass(g1696
g16257
g16417
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tp16486
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g6
VOptions[f] = a -> b
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sg8
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g11
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Va->b
p16492
sg15
I9
sass(g1696
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sg8
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V\u005cleft\u005c{a\u005ctext{:>}b\u005cright\u005c}
p16499
sg15
I10
sass(g1696
g16257
g16417
I13
tp16500
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g6
VOptions[a + b] = {a -> b}
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sg8
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g11
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I01
sg150
VOptions
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g4880
sg154
VOptions::sym
p16508
sg156
VArgument a + b at position 1 is expected to be a symbol.
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sasg13
V\u005cleft\u005c{a->b\u005cright\u005c}
p16510
sg15
I11
sass(g1696
VPatterns and Rules
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g1267
I0
tp16512
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g6
Va + b + c /. a + b -> t
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sg8
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g11
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sg13
Vc+t
p16518
sg15
I1
sass(g1696
g16511
g1267
I1
tp16519
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g6
Va + 2 + b + c + x * y /. n_Integer + s__Symbol + rest_ -> {n, s, rest}
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sg8
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g11
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sg13
V\u005cleft\u005c{2,a,b+c+x y\u005cright\u005c}
p16525
sg15
I2
sass(g1696
g16511
g1267
I2
tp16526
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g6
Vf[a, b, c, d] /. f[first_, rest___] -> {first, {rest}}
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sg8
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g11
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sg13
V\u005cleft\u005c{a,\u005cleft\u005c{b,c,d\u005cright\u005c}\u005cright\u005c}
p16532
sg15
I3
sass(g1696
g16511
g1267
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tp16533
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g6
Vf[4] /. f[x_?(# > 0&)] -> x ^ 2
p16535
sg8
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g11
(lp16538
sg13
V16
p16539
sg15
I4
sass(g1696
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g1267
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tp16540
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g6
Vf[4] /. f[x_] /; x > 0 -> x ^ 2
p16542
sg8
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g11
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sg13
V16
p16546
sg15
I5
sass(g1696
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g1267
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tp16547
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g6
Vf[a, b, c, d] /. f[start__, end__] -> {{start}, {end}}
p16549
sg8
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g11
(lp16552
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{b,c,d\u005cright\u005c}\u005cright\u005c}
p16553
sg15
I6
sass(g1696
g16511
g1267
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tp16554
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g6
Vf[a] /. f[x_, y_:3] -> {x, y}
p16556
sg8
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g11
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sg13
V\u005cleft\u005c{a,3\u005cright\u005c}
p16560
sg15
I7
sass(g1696
g16511
g1267
I7
tp16561
(dp16562
g6
Vf[y, a->3] /. f[x_, OptionsPattern[{a->2, b->5}]] -> {x, OptionValue[a], OptionValue[b]}
p16563
sg8
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g11
(lp16566
sg13
V\u005cleft\u005c{y,3,5\u005cright\u005c}
p16567
sg15
I8
sass(g1696
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VAlternatives
p16568
I0
tp16569
(dp16570
g6
Va+b+c+d/.(a|b)->t
p16571
sg8
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g11
(lp16574
sg13
Vc+d+2 t
p16575
sg15
I1
sass(g1696
g16511
g16568
I1
tp16576
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g6
VStringReplace["0123 3210", "1" | "2" -> "X"]
p16578
sg8
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g11
(lp16581
sg13
V\u005ctext{0XX3 3XX0}
p16582
sg15
I2
sass(g1696
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VBlank
p16583
I0
tp16584
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g6
VMatchQ[a + b, _]
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sg8
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g11
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sg13
V\u005ctext{True}
p16590
sg15
I1
sass(g1696
g16511
g16583
I1
tp16591
(dp16592
g6
VMatchQ[42, _Integer]
p16593
sg8
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g11
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sg13
V\u005ctext{True}
p16597
sg15
I2
sass(g1696
g16511
g16583
I2
tp16598
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g6
VMatchQ[1.0, _Integer]
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sg8
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g11
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sg13
V\u005ctext{False}
p16604
sg15
I3
sass(g1696
g16511
g16583
I3
tp16605
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g6
V{42, 1.0, x} /. {_Integer -> "integer", _Real -> "real"} // InputForm
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sg8
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g11
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sg13
V\u005cleft\u005c{\u005ctext{"integer"}, \u005ctext{"real"}, x\u005cright\u005c}
p16611
sg15
I4
sass(g1696
g16511
g16583
I4
tp16612
(dp16613
g6
VMatchQ[f[1, 2], f[_]]
p16614
sg8
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g11
(lp16617
sg13
V\u005ctext{False}
p16618
sg15
I5
sass(g1696
g16511
VBlankNullSequence
p16619
I0
tp16620
(dp16621
g6
VMatchQ[f[], f[___]]
p16622
sg8
(lp16623
(dp16624
g11
(lp16625
sg13
V\u005ctext{True}
p16626
sg15
I1
sass(g1696
g16511
VBlankSequence
p16627
I0
tp16628
(dp16629
g6
VMatchQ[f[1, 2, 3], f[__]]
p16630
sg8
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(dp16632
g11
(lp16633
sg13
V\u005ctext{True}
p16634
sg15
I1
sass(g1696
g16511
g16627
I1
tp16635
(dp16636
g6
VMatchQ[f[], f[__]]
p16637
sg8
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g11
(lp16640
sg13
V\u005ctext{False}
p16641
sg15
I2
sass(g1696
g16511
g16627
I2
tp16642
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g6
VMatchQ[f[1, 2, 3], f[__Integer]]
p16644
sg8
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g11
(lp16647
sg13
V\u005ctext{True}
p16648
sg15
I3
sass(g1696
g16511
g16627
I3
tp16649
(dp16650
g6
VMatchQ[f[1, 2.0, 3], f[__Integer]]
p16651
sg8
(lp16652
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g11
(lp16654
sg13
V\u005ctext{False}
p16655
sg15
I4
sass(g1696
g16511
g16627
I4
tp16656
(dp16657
g6
Vf[1, 2, 3] /. f[x__] -> x
p16658
sg8
(lp16659
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g11
(lp16661
sg13
V\u005ctext{Sequence}\u005cleft[1,2,3\u005cright]
p16662
sg15
I5
sass(g1696
g16511
VCondition
p16663
I0
tp16664
(dp16665
g6
Vf[3] /. f[x_] /; x>0 -> t
p16666
sg8
(lp16667
(dp16668
g11
(lp16669
sg13
g979
sg15
I1
sass(g1696
g16511
g16663
I1
tp16670
(dp16671
g6
Vf[-3] /. f[x_] /; x>0 -> t
p16672
sg8
(lp16673
(dp16674
g11
(lp16675
sg13
Vf\u005cleft[-3\u005cright]
p16676
sg15
I2
sass(g1696
g16511
g16663
I2
tp16677
(dp16678
g6
Vf[x_] := p[x] /; x>0
p16679
sg8
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g11
(lp16682
sg13
Nsg15
I3
sass(g1696
g16511
g16663
I3
tp16683
(dp16684
g6
Vf[3]
p16685
sg8
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g11
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sg13
Vp\u005cleft[3\u005cright]
p16689
sg15
I4
sass(g1696
g16511
g16663
I4
tp16690
(dp16691
g6
Vf[-3]
p16692
sg8
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g11
(lp16695
sg13
Vf\u005cleft[-3\u005cright]
p16696
sg15
I5
sass(g1696
g16511
VExcept
p16697
I0
tp16698
(dp16699
g6
VCases[{x, a, b, x, c}, Except[x]]
p16700
sg8
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g11
(lp16703
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p16704
sg15
I1
sass(g1696
g16511
g16697
I1
tp16705
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g6
VCases[{a, 0, b, 1, c, 2, 3}, Except[1, _Integer]]
p16707
sg8
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g11
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sg13
V\u005cleft\u005c{0,2,3\u005cright\u005c}
p16711
sg15
I2
sass(g1696
g16511
g16697
I2
tp16712
(dp16713
g6
VStringReplace["Hello world!", Except[LetterCharacter] -> ""]
p16714
sg8
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(dp16716
g11
(lp16717
sg13
V\u005ctext{Helloworld}
p16718
sg15
I3
sass(g1696
g16511
VHoldPattern
p16719
I0
tp16720
(dp16721
g6
VHoldPattern[x + x]
p16722
sg8
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(dp16724
g11
(lp16725
sg13
V\u005ctext{HoldPattern}\u005cleft[x+x\u005cright]
p16726
sg15
I1
sass(g1696
g16511
g16719
I1
tp16727
(dp16728
g6
Vx /. HoldPattern[x] -> t
p16729
sg8
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(dp16731
g11
(lp16732
sg13
g979
sg15
I2
sass(g1696
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g16719
I2
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(dp16734
g6
VAttributes[HoldPattern]
p16735
sg8
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(dp16737
g11
(lp16738
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p16739
sg15
I3
sass(g1696
g16511
VLongest
p16740
I0
tp16741
(dp16742
g6
VStringCases["aabaaab", Longest["a" ~~ __ ~~ "b"]]
p16743
sg8
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(dp16745
g11
(lp16746
sg13
V\u005cleft\u005c{\u005ctext{aabaaab}\u005cright\u005c}
p16747
sg15
I1
sass(g1696
g16511
g16740
I1
tp16748
(dp16749
g6
VStringCases["aabaaab", Longest[RegularExpression["a+b"]]]
p16750
sg8
(lp16751
(dp16752
g11
(lp16753
sg13
V\u005cleft\u005c{\u005ctext{aab},\u005ctext{aaab}\u005cright\u005c}
p16754
sg15
I2
sass(g1696
g16511
VMatchQ
p16755
I0
tp16756
(dp16757
g6
VMatchQ[123, _Integer]
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sg8
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(dp16760
g11
(lp16761
sg13
V\u005ctext{True}
p16762
sg15
I1
sass(g1696
g16511
g16755
I1
tp16763
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g6
VMatchQ[123, _Real]
p16765
sg8
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(dp16767
g11
(lp16768
sg13
V\u005ctext{False}
p16769
sg15
I2
sass(g1696
g16511
g16755
I2
tp16770
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g6
VMatchQ[_Integer][123]
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sg8
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(dp16774
g11
(lp16775
sg13
V\u005ctext{True}
p16776
sg15
I3
sass(g1696
g16511
VOptional
p16777
I0
tp16778
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g6
Vf[x_, y_:1] := {x, y}
p16780
sg8
(lp16781
(dp16782
g11
(lp16783
sg13
Nsg15
I1
sass(g1696
g16511
g16777
I1
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(dp16785
g6
Vf[1, 2]
p16786
sg8
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(dp16788
g11
(lp16789
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p16790
sg15
I2
sass(g1696
g16511
g16777
I2
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(dp16792
g6
Vf[a]
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sg8
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(dp16795
g11
(lp16796
sg13
V\u005cleft\u005c{a,1\u005cright\u005c}
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sg15
I3
sass(g1696
g16511
g16777
I3
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g6
Vx:_ // FullForm
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sg8
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(dp16802
g11
(lp16803
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V\u005ctext{Pattern}\u005cleft[x, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright]
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sg15
I4
sass(g1696
g16511
g16777
I4
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(dp16806
g6
V_:d // FullForm
p16807
sg8
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(dp16809
g11
(lp16810
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Blank}\u005cleft[\u005cright], d\u005cright]
p16811
sg15
I5
sass(g1696
g16511
g16777
I5
tp16812
(dp16813
g6
Vx:_+y_:d // FullForm
p16814
sg8
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(dp16816
g11
(lp16817
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]
p16818
sg15
I6
sass(g1696
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g16777
I6
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(dp16820
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VFullForm[s_.]
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sg8
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(dp16823
g11
(lp16824
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[s, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright]\u005cright]
p16825
sg15
I7
sass(g1696
g16511
g16777
I7
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(dp16827
g6
VDefault[h, k_] := k
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sg8
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(dp16830
g11
(lp16831
sg13
Nsg15
I8
sass(g1696
g16511
g16777
I8
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(dp16833
g6
Vh[a] /. h[x_, y_.] -> {x, y}
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sg8
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(dp16836
g11
(lp16837
sg13
V\u005cleft\u005c{a,2\u005cright\u005c}
p16838
sg15
I9
sass(g1696
g16511
VOptionsPattern
p16839
I0
tp16840
(dp16841
g6
Vf[x_, OptionsPattern[{n->2}]] := x ^ OptionValue[n]
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sg8
(lp16843
(dp16844
g11
(lp16845
sg13
Nsg15
I1
sass(g1696
g16511
g16839
I1
tp16846
(dp16847
g6
Vf[x]
p16848
sg8
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(dp16850
g11
(lp16851
sg13
Vx^2
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sg15
I2
sass(g1696
g16511
g16839
I2
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(dp16854
g6
Vf[x, n->3]
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sg8
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(dp16857
g11
(lp16858
sg13
Vx^3
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sg15
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sass(g1696
g16511
g16839
I3
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g6
Ve = f[x, n:>a]
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sg8
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(dp16864
g11
(lp16865
sg13
Vx^a
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sg15
I4
sass(g1696
g16511
g16839
I4
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g6
Va = 5;
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sg8
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(dp16871
g11
(lp16872
sg13
Nsg15
I5
sass(g1696
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g16839
I5
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Ve
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g11
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sg13
Vx^5
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sg15
I6
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g16511
g16839
I6
tp16880
(dp16881
g6
Vf[x, {{{n->4}}}]
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sg8
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(dp16884
g11
(lp16885
sg13
Vx^4
p16886
sg15
I7
sass(g1696
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VPatternTest
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I0
tp16888
(dp16889
g6
VMatchQ[3, _Integer?(#>0&)]
p16890
sg8
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(dp16892
g11
(lp16893
sg13
V\u005ctext{True}
p16894
sg15
I1
sass(g1696
g16511
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I1
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g6
VMatchQ[-3, _Integer?(#>0&)]
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sg8
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(dp16899
g11
(lp16900
sg13
V\u005ctext{False}
p16901
sg15
I2
sass(g1696
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VPattern
p16902
I0
tp16903
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g6
VFullForm[a_b]
p16905
sg8
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(dp16907
g11
(lp16908
sg13
V\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[b\u005cright]\u005cright]
p16909
sg15
I1
sass(g1696
g16511
g16902
I1
tp16910
(dp16911
g6
VFullForm[a:_:b]
p16912
sg8
(lp16913
(dp16914
g11
(lp16915
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright], b\u005cright]
p16916
sg15
I2
sass(g1696
g16511
g16902
I2
tp16917
(dp16918
g6
Vx = 2
p16919
sg8
(lp16920
(dp16921
g11
(lp16922
sg13
V2
p16923
sg15
I3
sass(g1696
g16511
g16902
I3
tp16924
(dp16925
g6
Vx_
p16926
sg8
(lp16927
(dp16928
g11
(lp16929
sg13
V\u005ctext{x\u005c_}
p16930
sg15
I4
sass(g1696
g16511
g16902
I4
tp16931
(dp16932
g6
Vf[y] /. f[a:b,_:d] -> {a, b}
p16933
sg8
(lp16934
(dp16935
g11
(lp16936
sg13
Vf\u005cleft[y\u005cright]
p16937
sg15
I5
sass(g1696
g16511
g16902
I5
tp16938
(dp16939
g6
Vf[a] /. f[a:_:b] -> {a, b}
p16940
sg8
(lp16941
(dp16942
g11
(lp16943
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p16944
sg15
I6
sass(g1696
g16511
g16902
I6
tp16945
(dp16946
g6
VFullForm[a:b:c:d:e]
p16947
sg8
(lp16948
(dp16949
g11
(lp16950
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[a, b\u005cright], \u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[c, d\u005cright], e\u005cright]\u005cright]
p16951
sg15
I7
sass(g1696
g16511
g16902
I7
tp16952
(dp16953
g6
Vf[] /. f[a:_:b] -> {a, b}
p16954
sg8
(lp16955
(dp16956
g11
(lp16957
sg13
V\u005cleft\u005c{b,b\u005cright\u005c}
p16958
sg15
I8
sass(g1696
g16511
VRepeated
p16959
I0
tp16960
(dp16961
g6
Va_Integer.. // FullForm
p16962
sg8
(lp16963
(dp16964
g11
(lp16965
sg13
V\u005ctext{Repeated}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[\u005ctext{Integer}\u005cright]\u005cright]\u005cright]
p16966
sg15
I1
sass(g1696
g16511
g16959
I1
tp16967
(dp16968
g6
V0..1//FullForm
p16969
sg8
(lp16970
(dp16971
g11
(lp16972
sg13
V\u005ctext{Repeated}\u005cleft[0\u005cright]
p16973
sg15
I2
sass(g1696
g16511
g16959
I2
tp16974
(dp16975
g6
V{{}, {a}, {a, b}, {a, a, a}, {a, a, a, a}} /. {Repeated[x : a | b, 3]} -> x
p16976
sg8
(lp16977
(dp16978
g11
(lp16979
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}
p16980
sg15
I3
sass(g1696
g16511
g16959
I3
tp16981
(dp16982
g6
Vf[x, 0, 0, 0] /. f[x, s:0..] -> s
p16983
sg8
(lp16984
(dp16985
g11
(lp16986
sg13
V\u005ctext{Sequence}\u005cleft[0,0,0\u005cright]
p16987
sg15
I4
sass(g1696
g16511
VRepeatedNull
p16988
I0
tp16989
(dp16990
g6
Va___Integer...//FullForm
p16991
sg8
(lp16992
(dp16993
g11
(lp16994
sg13
V\u005ctext{RepeatedNull}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{BlankNullSequence}\u005cleft[\u005ctext{Integer}\u005cright]\u005cright]\u005cright]
p16995
sg15
I1
sass(g1696
g16511
g16988
I1
tp16996
(dp16997
g6
Vf[x] /. f[x, 0...] -> t
p16998
sg8
(lp16999
(dp17000
g11
(lp17001
sg13
g979
sg15
I2
sass(g1696
g16511
VReplace
p17002
I0
tp17003
(dp17004
g6
VReplace[x, {x -> 2}]
p17005
sg8
(lp17006
(dp17007
g11
(lp17008
sg13
V2
p17009
sg15
I1
sass(g1696
g16511
g17002
I1
tp17010
(dp17011
g6
VReplace[1 + x, {x -> 2}]
p17012
sg8
(lp17013
(dp17014
g11
(lp17015
sg13
V1+x
p17016
sg15
I2
sass(g1696
g16511
g17002
I2
tp17017
(dp17018
g6
VReplace[x, {{x -> 1}, {x -> 2}}]
p17019
sg8
(lp17020
(dp17021
g11
(lp17022
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p17023
sg15
I3
sass(g1696
g16511
g17002
I3
tp17024
(dp17025
g6
VReplace[x, {x -> {}, _List -> y}]
p17026
sg8
(lp17027
(dp17028
g11
(lp17029
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17030
sg15
I4
sass(g1696
g16511
g17002
I4
tp17031
(dp17032
g6
VReplace[x[1], {x[1] -> y, 1 -> 2}, All]
p17033
sg8
(lp17034
(dp17035
g11
(lp17036
sg13
Vx\u005cleft[2\u005cright]
p17037
sg15
I5
sass(g1696
g16511
g17002
I5
tp17038
(dp17039
g6
VReplace[x[x[y]], x -> z, All]
p17040
sg8
(lp17041
(dp17042
g11
(lp17043
sg13
Vx\u005cleft[x\u005cleft[y\u005cright]\u005cright]
p17044
sg15
I6
sass(g1696
g16511
g17002
I6
tp17045
(dp17046
g6
VReplace[x[x[y]], x -> z, All, Heads -> True]
p17047
sg8
(lp17048
(dp17049
g11
(lp17050
sg13
Vz\u005cleft[z\u005cleft[y\u005cright]\u005cright]
p17051
sg15
I7
sass(g1696
g16511
g17002
I7
tp17052
(dp17053
g6
VReplace[x[x[y]], x -> z, {1}, Heads -> True]
p17054
sg8
(lp17055
(dp17056
g11
(lp17057
sg13
Vz\u005cleft[x\u005cleft[y\u005cright]\u005cright]
p17058
sg15
I8
sass(g1696
g16511
g17002
I8
tp17059
(dp17060
g6
VReplace[{x_ -> x + 1}][10]
p17061
sg8
(lp17062
(dp17063
g11
(lp17064
sg13
V11
p17065
sg15
I9
sass(g1696
g16511
VReplaceAll
p17066
I0
tp17067
(dp17068
g6
Va+b+c /. c->d
p17069
sg8
(lp17070
(dp17071
g11
(lp17072
sg13
Va+b+d
p17073
sg15
I1
sass(g1696
g16511
g17066
I1
tp17074
(dp17075
g6
Vg[a+b+c,a]/.g[x_+y_,x_]->{x,y}
p17076
sg8
(lp17077
(dp17078
g11
(lp17079
sg13
V\u005cleft\u005c{a,b+c\u005cright\u005c}
p17080
sg15
I2
sass(g1696
g16511
g17066
I2
tp17081
(dp17082
g6
V{a, b} /. {{a->x, b->y}, {a->u, b->v}}
p17083
sg8
(lp17084
(dp17085
g11
(lp17086
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c},\u005cleft\u005c{u,v\u005cright\u005c}\u005cright\u005c}
p17087
sg15
I3
sass(g1696
g16511
g17066
I3
tp17088
(dp17089
g6
V{a, b} /. {{{a->x, b->y}, {a->w, b->z}}, {a->u, b->v}}
p17090
sg8
(lp17091
(dp17092
g11
(lp17093
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}
p17094
sg15
I4
sass(g1696
g16511
g17066
I4
tp17095
(dp17096
g6
V{a, b} /. {{{a->x, b->y}, a->w, b->z}, {a->u, b->v}}
p17097
sg8
(lp17098
(dp17099
g11
(lp17100
(dp17101
g149
I01
sg150
VReplaceAll
p17102
sg152
Vrmix
p17103
sg154
VReplaceAll::rmix
p17104
sg156
VElements of {{a -> x, b -> y}, a -> w, b -> z} are a mixture of lists and nonlists.
p17105
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}
p17106
sg15
I5
sass(g1696
g16511
g17066
I5
tp17107
(dp17108
g6
VReplaceAll[{a -> 1}][{a, b}]
p17109
sg8
(lp17110
(dp17111
g11
(lp17112
sg13
V\u005cleft\u005c{1,b\u005cright\u005c}
p17113
sg15
I6
sass(g1696
g16511
g17066
I7
tp17114
(dp17115
g6
VReplaceAll[x[1], {x[1] -> y, 1 -> 2}]
p17116
sg8
(lp17117
(dp17118
g11
(lp17119
sg13
g3550
sg15
I7
sass(g1696
g16511
VReplaceList
p17120
I0
tp17121
(dp17122
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}]
p17123
sg8
(lp17124
(dp17125
g11
(lp17126
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}
p17127
sg15
I1
sass(g1696
g16511
g17120
I1
tp17128
(dp17129
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}, 3]
p17130
sg8
(lp17131
(dp17132
g11
(lp17133
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,b,c\u005cright\u005c}\u005cright\u005c}
p17134
sg15
I2
sass(g1696
g16511
g17120
I2
tp17135
(dp17136
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}, 0]
p17137
sg8
(lp17138
(dp17139
g11
(lp17140
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17141
sg15
I3
sass(g1696
g16511
g17120
I3
tp17142
(dp17143
g6
VReplaceList[a, b->x]
p17144
sg8
(lp17145
(dp17146
g11
(lp17147
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17148
sg15
I4
sass(g1696
g16511
g17120
I4
tp17149
(dp17150
g6
VReplaceList[{a, b, c}, {{{___, x__, ___} -> {x}}, {{a, b, c} -> t}}, 2]
p17151
sg8
(lp17152
(dp17153
g11
(lp17154
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}
p17155
sg15
I5
sass(g1696
g16511
g17120
I5
tp17156
(dp17157
g6
VReplaceList[expr, {}, -1]
p17158
sg8
(lp17159
(dp17160
g11
(lp17161
(dp17162
g149
I01
sg150
VReplaceList
p17163
sg152
Vinnf
p17164
sg154
VReplaceList::innf
p17165
sg156
VNon-negative integer or Infinity expected at position 3.
p17166
sasg13
V\u005ctext{ReplaceList}\u005cleft[\u005ctext{expr},\u005cleft\u005c{\u005cright\u005c},-1\u005cright]
p17167
sg15
I6
sass(g1696
g16511
g17120
I6
tp17168
(dp17169
g6
VReplaceList[a + b + c, x_ + y_ -> {x, y}]
p17170
sg8
(lp17171
(dp17172
g11
(lp17173
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}
p17174
sg15
I7
sass(g1696
g16511
VReplaceRepeated
p17175
I0
tp17176
(dp17177
g6
Va+b+c //. c->d
p17178
sg8
(lp17179
(dp17180
g11
(lp17181
sg13
Va+b+d
p17182
sg15
I1
sass(g1696
g16511
g17175
I1
tp17183
(dp17184
g6
Vlogrules = {Log[x_ * y_] :> Log[x] + Log[y], Log[x_ ^ y_] :> y * Log[x]};
p17185
sg8
(lp17186
(dp17187
g11
(lp17188
sg13
Nsg15
I2
sass(g1696
g16511
g17175
I2
tp17189
(dp17190
g6
VLog[a * (b * c) ^ d ^ e * f] //. logrules
p17191
sg8
(lp17192
(dp17193
g11
(lp17194
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
p17195
sg15
I3
sass(g1696
g16511
g17175
I3
tp17196
(dp17197
g6
VLog[a * (b * c) ^ d ^ e * f] /. logrules
p17198
sg8
(lp17199
(dp17200
g11
(lp17201
sg13
V\u005ctext{Log}\u005cleft[a\u005cright]+\u005ctext{Log}\u005cleft[f \u005cleft(b c\u005cright)^{d^e}\u005cright]
p17202
sg15
I4
sass(g1696
g16511
VRuleDelayed
p17203
I0
tp17204
(dp17205
g6
VAttributes[RuleDelayed]
p17206
sg8
(lp17207
(dp17208
g11
(lp17209
sg13
V\u005cleft\u005c{\u005ctext{HoldRest},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p17210
sg15
I1
sass(g1696
g16511
VRule
p17211
I0
tp17212
(dp17213
g6
Va+b+c /. c->d
p17214
sg8
(lp17215
(dp17216
g11
(lp17217
sg13
Va+b+d
p17218
sg15
I1
sass(g1696
g16511
g17211
I1
tp17219
(dp17220
g6
V{x,x^2,y} /. x->3
p17221
sg8
(lp17222
(dp17223
g11
(lp17224
sg13
V\u005cleft\u005c{3,9,y\u005cright\u005c}
p17225
sg15
I2
sass(g1696
g16511
VVerbatim
p17226
I0
tp17227
(dp17228
g6
V_ /. Verbatim[_]->t
p17229
sg8
(lp17230
(dp17231
g11
(lp17232
sg13
g979
sg15
I1
sass(g1696
g16511
g17226
I1
tp17233
(dp17234
g6
Vx /. Verbatim[_]->t
p17235
sg8
(lp17236
(dp17237
g11
(lp17238
sg13
g195
sg15
I2
sass(g1696
g16511
g17226
I2
tp17239
(dp17240
g6
Vx /. _->t
p17241
sg8
(lp17242
(dp17243
g11
(lp17244
sg13
g979
sg15
I3
sass(g1696
VPlotting
p17245
VAxis
p17246
I0
tp17247
(dp17248
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Axis]
p17249
sg8
(lp17250
(dp17251
g11
(lp17252
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
p17253
sg15
I1
sass(g1696
g17245
VBarChart
p17254
I0
tp17255
(dp17256
g6
VBarChart[{1, 4, 2}]
p17257
sg8
(lp17258
(dp17259
g11
(lp17260
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
p17261
sg15
I1
sass(g1696
g17245
g17254
I1
tp17262
(dp17263
g6
VBarChart[{1, 4, 2}, ChartStyle -> {Red, Green, Blue}]
p17264
sg8
(lp17265
(dp17266
g11
(lp17267
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
p17268
sg15
I2
sass(g1696
g17245
g17254
I2
tp17269
(dp17270
g6
VBarChart[{{1, 2, 3}, {2, 3, 4}}]
p17271
sg8
(lp17272
(dp17273
g11
(lp17274
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
p17275
sg15
I3
sass(g1696
g17245
g17254
I3
tp17276
(dp17277
g6
VBarChart[{{1, 2, 3}, {2, 3, 4}}, ChartLabels -> {"a", "b", "c"}]
p17278
sg8
(lp17279
(dp17280
g11
(lp17281
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
p17282
sg15
I4
sass(g1696
g17245
g17254
I4
tp17283
(dp17284
g6
VBarChart[{{1, 5}, {3, 4}}, ChartStyle -> {{EdgeForm[Thin], White}, {EdgeForm[Thick], White}}]
p17285
sg8
(lp17286
(dp17287
g11
(lp17288
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
p17289
sg15
I5
sass(g1696
g17245
VBottom
p17290
I0
tp17291
(dp17292
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Bottom]
p17293
sg8
(lp17294
(dp17295
g11
(lp17296
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
p17297
sg15
I1
sass(g1696
g17245
VColorData
p17298
I0
tp17299
(dp17300
g6
VUnprotect[ColorData]; ColorData["test"] := ColorDataFunction["test", "Gradients", {0, 1}, Blend[{Red, Green, Blue}, #1] &]; Protect[ColorData]
p17301
sg8
(lp17302
(dp17303
g11
(lp17304
sg13
Nsg15
I1
sass(g1696
g17245
g17298
I1
tp17305
(dp17306
g6
V{DensityPlot[x + y, {x, -1, 1}, {y, -1, 1}], DensityPlot[x + y, {x, -1, 1}, {y, -1, 1}, ColorFunction->"test"]}
p17307
sg8
(lp17308
(dp17309
g11
(lp17310
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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0),rgb(0, 1, 0),rgb(0, 0.85714, 0.14286),rgb(0, 1, 0),rgb(0, 0.85714, 0.14286),rgb(0, 0.85714, 0.14286),rgb(0, 0.85714, 0.14286),rgb(0, 0.85714, 0.14286),rgb(0, 0.71429, 0.28571),rgb(0, 0.85714, 0.14286),rgb(0, 0.71429, 0.28571),rgb(0, 0.71429, 0.28571),rgb(0, 0.71429, 0.28571),rgb(0, 0.71429, 0.28571),rgb(0, 0.57143, 0.42857),rgb(0, 0.71429, 0.28571),rgb(0, 0.57143, 0.42857),rgb(0, 0.57143, 0.42857),rgb(0, 0.57143, 0.42857),rgb(0, 0.57143, 0.42857),rgb(0, 0.42857, 0.57143),rgb(0, 0.57143, 0.42857),rgb(0, 0.42857, 0.57143),rgb(0, 0.42857, 0.57143),rgb(0, 0.42857, 0.57143),rgb(0, 0.42857, 0.57143),rgb(0, 0.28571, 0.71429),rgb(0, 0.42857, 0.57143),rgb(0, 0.28571, 0.71429),rgb(0, 0.28571, 0.71429),rgb(0, 0.28571, 0.71429),rgb(0, 0.28571, 0.71429),rgb(0, 0.14286, 0.85714),rgb(0, 0.28571, 0.71429),rgb(0, 0.14286, 0.85714),rgb(0, 0.14286, 0.85714),rgb(0, 0.14286, 0.85714),rgb(0, 0.14286, 0.85714),rgb(0, 0, 1)}, 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)--(0,250)--(50,200)--cycle, nullpen, nullpen);filldraw((0,250)--(50,200)--(50,250)--cycle, nullpen, nullpen);filldraw((0,250)--(0,300)--(50,250)--cycle, nullpen, nullpen);filldraw((0,300)--(50,250)--(50,300)--cycle, nullpen, nullpen);filldraw((0,300)--(0,350)--(50,300)--cycle, nullpen, nullpen);filldraw((0,350)--(50,300)--(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)--(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)--(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}
p17311
sg15
I2
sass(g1696
g17245
VDensityPlot
p17312
I0
tp17313
(dp17314
g6
VDensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p17315
sg8
(lp17316
(dp17317
g11
(lp17318
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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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
p17319
sg15
I1
sass(g1696
g17245
g17312
I1
tp17320
(dp17321
g6
VDensityPlot[1 / x, {x, 0, 1}, {y, 0, 1}]
p17322
sg8
(lp17323
(dp17324
g11
(lp17325
sg13
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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
p17326
sg15
I2
sass(g1696
g17245
g17312
I2
tp17327
(dp17328
g6
VDensityPlot[Sqrt[x * y], {x, -1, 1}, {y, -1, 1}]
p17329
sg8
(lp17330
(dp17331
g11
(lp17332
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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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((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((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((250,200)--(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
p17333
sg15
I3
sass(g1696
g17245
g17312
I3
tp17334
(dp17335
g6
VDensityPlot[1/(x^2 + y^2 + 1), {x, -1, 1}, {y, -2,2}, Mesh->Full]
p17336
sg8
(lp17337
(dp17338
g11
(lp17339
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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0.55222),rgb(0.38191, 0.21128, 0.6538),rgb(0.30964, 0.085614, 0.55222),rgb(0.38191, 0.21128, 0.6538),rgb(0.29342, 0.057404, 0.52941)}, 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)--(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,  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
p17340
sg15
I4
sass(g1696
g17245
g17312
I4
tp17341
(dp17342
g6
VDensityPlot[x^2 y, {x, -1, 1}, {y, -1, 1}, Mesh->All]
p17343
sg8
(lp17344
(dp17345
g11
(lp17346
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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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
p17347
sg15
I5
sass(g1696
g17245
VHistogram
p17348
I0
tp17349
(dp17350
g6
VHistogram[{3, 8, 10, 100, 1000, 500, 300, 200, 10, 20, 200, 100, 200, 300, 500}]
p17351
sg8
(lp17352
(dp17353
g11
(lp17354
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
p17355
sg15
I1
sass(g1696
g17245
g17348
I1
tp17356
(dp17357
g6
VHistogram[{{1, 2, 10, 5, 50, 20}, {90, 100, 101, 120, 80}}]
p17358
sg8
(lp17359
(dp17360
g11
(lp17361
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
p17362
sg15
I2
sass(g1696
g17245
VListLinePlot
p17363
I0
tp17364
(dp17365
g6
VListLinePlot[Table[{n, n ^ 0.5}, {n, 10}]]
p17366
sg8
(lp17367
(dp17368
g11
(lp17369
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
p17370
sg15
I1
sass(g1696
g17245
g17363
I1
tp17371
(dp17372
g6
VListLinePlot[{{-2, -1}, {-1, -1}}]
p17373
sg8
(lp17374
(dp17375
g11
(lp17376
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
p17377
sg15
I2
sass(g1696
g17245
VListPlot
p17378
I0
tp17379
(dp17380
g6
VListPlot[Table[n ^ 2, {n, 10}]]
p17381
sg8
(lp17382
(dp17383
g11
(lp17384
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
p17385
sg15
I1
sass(g1696
g17245
VMesh
p17386
I0
tp17387
(dp17388
g6
VPlot[Sin[Cos[x^2]],{x,-4,4},Mesh->All]
p17389
sg8
(lp17390
(dp17391
g11
(lp17392
sg13
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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
p17393
sg15
I1
sass(g1696
g17245
g17386
I1
tp17394
(dp17395
g6
VPlot[Sin[x], {x,0,4 Pi}, Mesh->Full]
p17396
sg8
(lp17397
(dp17398
g11
(lp17399
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
p17400
sg15
I2
sass(g1696
g17245
g17386
I2
tp17401
(dp17402
g6
VDensityPlot[Sin[x y], {x, -2, 2}, {y, -2, 2}, Mesh->Full]
p17403
sg8
(lp17404
(dp17405
g11
(lp17406
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, nullpen);filldraw((150,200)--(200,200)--(200,250)--cycle, nullpen, nullpen);filldraw((150,200)--(150,250)--(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)--(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)--(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
p17407
sg15
I3
sass(g1696
g17245
g17386
I3
tp17408
(dp17409
g6
VPlot3D[Sin[x y], {x, -2, 2}, {y, -2, 2}, Mesh->Full]
p17410
sg8
(lp17411
(dp17412
g11
(lp17413
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
p17414
sg15
I4
sass(g1696
g17245
VParametricPlot
p17415
I0
tp17416
(dp17417
g6
VParametricPlot[{Sin[u], Cos[3 u]}, {u, 0, 2 Pi}]
p17418
sg8
(lp17419
(dp17420
g11
(lp17421
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
p17422
sg15
I1
sass(g1696
g17245
g17415
I1
tp17423
(dp17424
g6
VParametricPlot[{Cos[u] / u, Sin[u] / u}, {u, 0, 50}, PlotRange->0.5]
p17425
sg8
(lp17426
(dp17427
g11
(lp17428
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, 0)+linewidth(0.66667));draw((100,123.607)--(100,127.607), 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((300,123.607)--(300,127.607), 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((380,123.607)--(380,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.4$", (197.33333333333334,24.721359549995785), (-1,0), rgb(0, 0, 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
p17429
sg15
I2
sass(g1696
g17245
g17415
I2
tp17430
(dp17431
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]
p17432
sg8
(lp17433
(dp17434
g11
(lp17435
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
p17436
sg15
I3
sass(g1696
g17245
VPieChart
p17437
I0
tp17438
(dp17439
g6
VPieChart[{1, 4, 2}]
p17440
sg8
(lp17441
(dp17442
g11
(lp17443
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
p17444
sg15
I1
sass(g1696
g17245
g17437
I1
tp17445
(dp17446
g6
VPieChart[{8, 16, 2}, SectorOrigin -> {Automatic, 1.5}]
p17447
sg8
(lp17448
(dp17449
g11
(lp17450
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
p17451
sg15
I2
sass(g1696
g17245
g17437
I2
tp17452
(dp17453
g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}]
p17454
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p17458
sg15
I3
sass(g1696
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g17437
I3
tp17459
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g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}, SectorSpacing -> None]
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V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw((175,175)--(87.5,326.55)--arc((175,175), (87.5, 326.55), (0, 175))--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(350,175)--arc((175,175), (350, 175), (87.5, 326.55))--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), (350, 175))--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw(ellipse((175,175),87.5,87.5), rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(160.7,261.32)--arc((175,175), (160.7, 261.32), (87.5, 175))--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(257.83,146.79)--arc((175,175), (257.83, 146.79), (160.7, 261.32))--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(87.5,175)--arc((175,175), (87.5, 175), (257.83, 146.79))--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
p17465
sg15
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sass(g1696
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g17437
I4
tp17466
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g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}, ChartLabels -> {a, b, c}]
p17468
sg8
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p17472
sg15
I5
sass(g1696
g17245
g17437
I5
tp17473
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g6
VPieChart[{1, -1, 3}]
p17475
sg8
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g11
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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
p17479
sg15
I6
sass(g1696
g17245
VPlot
p17480
I0
tp17481
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g6
VPlot[{Sin[x], Cos[x], x / 3}, {x, -Pi, Pi}]
p17483
sg8
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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
p17487
sg15
I1
sass(g1696
g17245
g17480
I1
tp17488
(dp17489
g6
VPlot[Sin[x], {x, 0, 4 Pi}, PlotRange->{{0, 4 Pi}, {0, 1.5}}]
p17490
sg8
(lp17491
(dp17492
g11
(lp17493
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
p17494
sg15
I2
sass(g1696
g17245
g17480
I2
tp17495
(dp17496
g6
VPlot[Tan[x], {x, -6, 6}, Mesh->Full]
p17497
sg8
(lp17498
(dp17499
g11
(lp17500
sg13
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p17501
sg15
I3
sass(g1696
g17245
g17480
I3
tp17502
(dp17503
g6
VPlot[x^2, {x, -1, 1}, MaxRecursion->5, Mesh->All]
p17504
sg8
(lp17505
(dp17506
g11
(lp17507
sg13
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rgb(0.2472, 0.24, 0.6));dot((378.57142857142856, 203.91499282135817), rgb(0.2472, 0.24, 0.6));dot((385.71428571428567, 219.6375185359084), rgb(0.2472, 0.24, 0.6));dot((392.85714285714283, 235.9766138863234), rgb(0.2472, 0.24, 0.6));dot((400.0, 252.9322788726031), rgb(0.2472, 0.24, 0.6));\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("$-1.0$", (0.0,8.570314946967786), (0,-1), rgb(0, 0, 0));\u000alabel("$-0.5$", (100.0,8.570314946967786), (0,-1), rgb(0, 0, 0));\u000alabel("$0.5$", (300.0,8.570314946967786), (0,-1), rgb(0, 0, 0));\u000alabel("$1.0$", (400.0,8.570314946967786), (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((20,11.237)--(20,15.237), rgb(0, 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
p17508
sg15
I4
sass(g1696
g17245
g17480
I4
tp17509
(dp17510
g6
VPlot[Log[x], {x, 0, 5}, MaxRecursion->0]
p17511
sg8
(lp17512
(dp17513
g11
(lp17514
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), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,98.9184)--(416,98.9184), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (80.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (160.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$3$", (240.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (320.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000alabel("$5$", (400.0,96.25173308116516), (0,-1), rgb(0, 0, 0));\u000adraw((80,98.9184)--(80,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((160,98.9184)--(160,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((240,98.9184)--(240,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((320,98.9184)--(320,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((400,98.9184)--(400,105.585), rgb(0, 0, 0)+linewidth(0.66667));draw((16,98.9184)--(16,102.918), rgb(0, 0, 0)+linewidth(0.66667));draw((32,98.9184)--(32,102.918), rgb(0, 0, 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
p17515
sg15
I5
sass(g1696
g17245
g17480
I5
tp17516
(dp17517
g6
VPlot[Tan[x], {x, 0, 6}, Mesh->All, PlotRange->{{-1, 5}, {0, 15}}, MaxRecursion->10]
p17518
sg8
(lp17519
(dp17520
g11
(lp17521
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
p17522
sg15
I6
sass(g1696
g17245
g17480
I6
tp17523
(dp17524
g6
VPlot[3, {x, 0, 1}]
p17525
sg8
(lp17526
(dp17527
g11
(lp17528
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
p17529
sg15
I7
sass(g1696
g17245
VPlot3D
p17530
I0
tp17531
(dp17532
g6
VPlot3D[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p17533
sg8
(lp17534
(dp17535
g11
(lp17536
sg13
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0)+linewidth(1.2));\u000alabel("1",(-0.5, 0.3333333333333333, 0.2285714285714286),W);\u000adraw(((-0.5,0.3333333333333333,0.34285714285714286)--(-0.5,0.3833333333333333,0.34285714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("1.5",(-0.5, 0.3333333333333333, 0.34285714285714286),W);\u000adraw(((-0.5,0.3333333333333333,0.4571428571428572)--(-0.5,0.3833333333333333,0.4571428571428572)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("2",(-0.5, 0.3333333333333333, 0.4571428571428572),W);\u000adraw(((-0.5,0.3333333333333333,0.06857142857142859)--(-0.5,0.35833333333333334,0.06857142857142859)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.09142857142857144)--(-0.5,0.35833333333333334,0.09142857142857144)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.13714285714285718)--(-0.5,0.35833333333333334,0.13714285714285718)), rgb(0, 0, 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
p17537
sg15
I1
sass(g1696
g17245
g17530
I1
tp17538
(dp17539
g6
VPlot3D[x y / (x ^ 2 + y ^ 2 + 1), {x, -2, 2}, {y, -2, 2}]
p17540
sg8
(lp17541
(dp17542
g11
(lp17543
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
p17544
sg15
I2
sass(g1696
g17245
g17530
I2
tp17545
(dp17546
g6
VPlot3D[x / (x ^ 2 + y ^ 2 + 1), {x, -2, 2}, {y, -2, 2}, Mesh->None]
p17547
sg8
(lp17548
(dp17549
g11
(lp17550
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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rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.05,-0.5,-0.2)--(-0.05,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.05,-0.5,-0.2)--(0.05,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.1,-0.5,-0.2)--(0.1,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.15000000000000002,-0.5,-0.2)--(0.15000000000000002,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.2,-0.5,-0.2)--(0.2,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.30000000000000004,-0.5,-0.2)--(0.30000000000000004,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.35000000000000003,-0.5,-0.2)--(0.35000000000000003,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.4,-0.5,-0.2)--(0.4,-0.5,-0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.45,-0.5,-0.2)--(0.45,-0.5,-0.17500000000000002)), rgb(0, 0, 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0)+linewidth(1.2));\u000adraw(((-0.5,-0.30000000000000004,0.2)--(-0.5,-0.30000000000000004,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.2,0.2)--(-0.5,-0.2,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.15000000000000002,0.2)--(-0.5,-0.15000000000000002,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.1,0.2)--(-0.5,-0.1,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.05,0.2)--(-0.5,-0.05,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.05,0.2)--(-0.5,0.05,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.1,0.2)--(-0.5,0.1,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.15000000000000002,0.2)--(-0.5,0.15000000000000002,0.17500000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.2,0.2)--(-0.5,0.2,0.17500000000000002)), rgb(0, 0, 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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
p17551
sg15
I3
sass(g1696
g17245
g17530
I3
tp17552
(dp17553
g6
VPlot3D[Sin[x y] /(x y), {x, -3, 3}, {y, -3, 3}, Mesh->All]
p17554
sg8
(lp17555
(dp17556
g11
(lp17557
sg13
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0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p17558
sg15
I4
sass(g1696
g17245
g17530
I4
tp17559
(dp17560
g6
VPlot3D[Log[x + y^2], {x, -1, 1}, {y, -1, 1}]
p17561
sg8
(lp17562
(dp17563
g11
(lp17564
sg13
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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
p17565
sg15
I5
sass(g1696
g17245
VPolarPlot
p17566
I0
tp17567
(dp17568
g6
VPolarPlot[Cos[5t], {t, 0, Pi}]
p17569
sg8
(lp17570
(dp17571
g11
(lp17572
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
p17573
sg15
I1
sass(g1696
g17245
g17566
I1
tp17574
(dp17575
g6
VPolarPlot[{1, 1 + Sin[20 t] / 5}, {t, 0, 2 Pi}]
p17576
sg8
(lp17577
(dp17578
g11
(lp17579
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
p17580
sg15
I2
sass(g1696
g17245
VTop
p17581
I0
tp17582
(dp17583
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Top]
p17584
sg8
(lp17585
(dp17586
g11
(lp17587
sg13
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p17588
sg15
I1
sass(g1696
VPhysical and Chemical data
p17589
VElementData
p17590
I0
tp17591
(dp17592
g6
VElementData[74]
p17593
sg8
(lp17594
(dp17595
g11
(lp17596
sg13
V\u005ctext{Tungsten}
p17597
sg15
I1
sass(g1696
g17589
g17590
I1
tp17598
(dp17599
g6
VElementData["He", "AbsoluteBoilingPoint"]
p17600
sg8
(lp17601
(dp17602
g11
(lp17603
sg13
V4.22
p17604
sg15
I2
sass(g1696
g17589
g17590
I2
tp17605
(dp17606
g6
VElementData["Carbon", "IonizationEnergies"]
p17607
sg8
(lp17608
(dp17609
g11
(lp17610
sg13
V\u005cleft\u005c{1086.5,2352.6,4620.5,6222.7,37831,47277.\u005cright\u005c}
p17611
sg15
I3
sass(g1696
g17589
g17590
I3
tp17612
(dp17613
g6
VElementData[16, "ElectronConfigurationString"]
p17614
sg8
(lp17615
(dp17616
g11
(lp17617
sg13
V\u005ctext{[Ne] 3s2 3p4}
p17618
sg15
I4
sass(g1696
g17589
g17590
I4
tp17619
(dp17620
g6
VElementData[73, "ElectronConfiguration"]
p17621
sg8
(lp17622
(dp17623
g11
(lp17624
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}
p17625
sg15
I5
sass(g1696
g17589
g17590
I5
tp17626
(dp17627
g6
VLength[ElementData[All]]
p17628
sg8
(lp17629
(dp17630
g11
(lp17631
sg13
V118
p17632
sg15
I6
sass(g1696
g17589
g17590
I6
tp17633
(dp17634
g6
VElementData["He", "ElectroNegativity"]
p17635
sg8
(lp17636
(dp17637
g11
(lp17638
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright]
p17639
sg15
I7
sass(g1696
g17589
g17590
I7
tp17640
(dp17641
g6
VElementData["Tc", "SpecificHeat"]
p17642
sg8
(lp17643
(dp17644
g11
(lp17645
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotAvailable}\u005cright]
p17646
sg15
I8
sass(g1696
g17589
g17590
I8
tp17647
(dp17648
g6
VElementData["Properties"]
p17649
sg8
(lp17650
(dp17651
g11
(lp17652
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}
p17653
sg15
I9
sass(g1696
g17589
g17590
I9
tp17654
(dp17655
g6
VListPlot[Table[ElementData[z, "AtomicWeight"], {z, 118}]]
p17656
sg8
(lp17657
(dp17658
g11
(lp17659
sg13
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rgb(0.2472, 0.24, 0.6));dot((238.85003885003886, 147.3740167880665), rgb(0.2472, 0.24, 0.6));dot((241.95804195804195, 149.26097366506167), rgb(0.2472, 0.24, 0.6));dot((245.06604506604506, 151.47776446771047), rgb(0.2472, 0.24, 0.6));dot((248.17404817404818, 153.2956863370107), rgb(0.2472, 0.24, 0.6));dot((251.28205128205127, 156.37925001405156), rgb(0.2472, 0.24, 0.6));dot((254.3900543900544, 157.90569073975092), rgb(0.2472, 0.24, 0.6));dot((257.4980574980575, 160.0994698731681), rgb(0.2472, 0.24, 0.6));dot((260.6060606060606, 161.54920503476194), rgb(0.2472, 0.24, 0.6));dot((263.71406371406374, 164.32594645538083), rgb(0.2472, 0.24, 0.6));dot((266.82206682206686, 167.23308733497907), rgb(0.2472, 0.24, 0.6));dot((269.93006993007, 169.396184242754), rgb(0.2472, 0.24, 0.6));dot((273.03807303807304, 170.76154328383183), rgb(0.2472, 0.24, 0.6));dot((276.14607614607615, 170.77688439665295), rgb(0.2472, 0.24, 0.6));dot((279.2540792540793, 171.5439400377079), rgb(0.2472, 0.24, 0.6));dot((282.3620823620824, 180.74860773036724), rgb(0.2472, 0.24, 0.6));dot((285.4700854700855, 181.51566337142222), rgb(0.2472, 0.24, 0.6));dot((288.5780885780886, 183.81683029458705), rgb(0.2472, 0.24, 0.6));dot((291.6860916860917, 184.583885935642), rgb(0.2472, 0.24, 0.6));dot((294.7940947940948, 188.44984636655892), rgb(0.2472, 0.24, 0.6));dot((297.9020979020979, 187.68279072550396), rgb(0.2472, 0.24, 0.6));dot((301.01010101010104, 193.04450965647806), rgb(0.2472, 0.24, 0.6));dot((304.11810411810416, 192.25444234619147), rgb(0.2472, 0.24, 0.6));dot((307.2261072261073, 197.6238318335761), rgb(0.2472, 0.24, 0.6));dot((310.33411033411033, 196.85677619252115), rgb(0.2472, 0.24, 0.6));dot((313.44211344211345, 199.92499875674093), rgb(0.2472, 0.24, 0.6));dot((316.55011655011657, 199.92499875674093), rgb(0.2472, 0.24, 0.6));dot((319.6581196581197, 202.99322132096074), rgb(0.2472, 0.24, 0.6));dot((322.7661227661228, 203.76027696201567), rgb(0.2472, 0.24, 0.6));dot((325.8741258741259, 207.59555516729043), rgb(0.2472, 0.24, 0.6));dot((328.982128982129, 208.36261080834538), rgb(0.2472, 0.24, 0.6));dot((332.0901320901321, 209.1296664494003), rgb(0.2472, 0.24, 0.6));dot((335.1981351981352, 211.43083337256516), rgb(0.2472, 0.24, 0.6));dot((338.30613830613834, 215.26611157783987), rgb(0.2472, 0.24, 0.6));dot((341.41414141414145, 216.03316721889485), rgb(0.2472, 0.24, 0.6));dot((344.5221445221446, 216.8002228599498), rgb(0.2472, 0.24, 0.6));dot((347.63014763014763, 217.56727850100472), rgb(0.2472, 0.24, 0.6));dot((350.73815073815075, 216.8002228599498), rgb(0.2472, 0.24, 0.6));dot((353.84615384615387, 223.70372362944428), rgb(0.2472, 0.24, 0.6));dot((356.954156954157, 226.00489055260914), rgb(0.2472, 0.24, 0.6));dot((360.0621600621601, 226.00489055260914), rgb(0.2472, 0.24, 0.6));dot((363.1701631701632, 229.07311311682892), rgb(0.2472, 0.24, 0.6));dot((366.27816627816634, 229.84016875788387), rgb(0.2472, 0.24, 0.6));dot((369.3861693861694, 232.1413356810487), rgb(0.2472, 0.24, 0.6));dot((372.4941724941725, 231.37428003999378), rgb(0.2472, 0.24, 0.6));dot((375.60217560217563, 235.2095582452685), rgb(0.2472, 0.24, 0.6));dot((378.71017871017875, 235.9766138863235), rgb(0.2472, 0.24, 0.6));dot((381.81818181818187, 235.9766138863235), rgb(0.2472, 0.24, 0.6));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,10.4623)--(416,10.4623), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$20$", (77.23387723387724,7.795588749502288), (0,-1), rgb(0, 0, 0));\u000alabel("$40$", (139.3939393939394,7.795588749502288), (0,-1), rgb(0, 0, 0));\u000alabel("$60$", (201.55400155400153,7.795588749502288), (0,-1), rgb(0, 0, 0));\u000alabel("$80$", (263.71406371406374,7.795588749502288), (0,-1), rgb(0, 0, 0));\u000alabel("$100$", (325.8741258741259,7.795588749502288), (0,-1), rgb(0, 0, 0));\u000alabel("$120$", (388.03418803418805,7.795588749502288), (0,-1), rgb(0, 0, 0));\u000adraw((77.234,10.4623)--(77.234,17.1289), rgb(0, 0, 0)+linewidth(0.66667));draw((139.39,10.4623)--(139.39,17.1289), rgb(0, 0, 0)+linewidth(0.66667));draw((201.55,10.4623)--(201.55,17.1289), rgb(0, 0, 0)+linewidth(0.66667));draw((263.71,10.4623)--(263.71,17.1289), rgb(0, 0, 0)+linewidth(0.66667));draw((325.87,10.4623)--(325.87,17.1289), rgb(0, 0, 0)+linewidth(0.66667));draw((388.03,10.4623)--(388.03,17.1289), rgb(0, 0, 0)+linewidth(0.66667));draw((-0.4662,10.4623)--(-0.4662,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((30.614,10.4623)--(30.614,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((46.154,10.4623)--(46.154,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((61.694,10.4623)--(61.694,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((92.774,10.4623)--(92.774,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((108.31,10.4623)--(108.31,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((123.85,10.4623)--(123.85,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((154.93,10.4623)--(154.93,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((170.47,10.4623)--(170.47,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((186.01,10.4623)--(186.01,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((217.09,10.4623)--(217.09,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((232.63,10.4623)--(232.63,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((248.17,10.4623)--(248.17,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((279.25,10.4623)--(279.25,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((294.79,10.4623)--(294.79,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((310.33,10.4623)--(310.33,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((341.41,10.4623)--(341.41,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((356.95,10.4623)--(356.95,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((372.49,10.4623)--(372.49,14.4623), rgb(0, 0, 0)+linewidth(0.66667));draw((403.57,10.4623)--(403.57,14.4623), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((15.074,-12.9443)--(15.074,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$50$", (12.40714840714841,48.81503746891632), (-1,0), rgb(0, 0, 0));\u000alabel("$100$", (12.40714840714841,87.16781952166369), (-1,0), rgb(0, 0, 0));\u000alabel("$150$", (12.40714840714841,125.52060157441105), (-1,0), rgb(0, 0, 0));\u000alabel("$200$", (12.40714840714841,163.8733836271584), (-1,0), rgb(0, 0, 0));\u000alabel("$250$", (12.40714840714841,202.22616567990576), (-1,0), rgb(0, 0, 0));\u000alabel("$300$", (12.40714840714841,240.57894773265315), (-1,0), rgb(0, 0, 0));\u000adraw((15.074,48.815)--(21.74,48.815), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,87.1678)--(21.74,87.1678), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,125.521)--(21.74,125.521), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,163.873)--(21.74,163.873), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,202.226)--(21.74,202.226), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,240.579)--(21.74,240.579), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,-4.87886)--(19.074,-4.87886), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,2.7917)--(19.074,2.7917), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,18.1328)--(19.074,18.1328), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,25.8034)--(19.074,25.8034), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,33.4739)--(19.074,33.4739), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,41.1445)--(19.074,41.1445), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,56.4856)--(19.074,56.4856), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,64.1562)--(19.074,64.1562), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,71.8267)--(19.074,71.8267), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,79.4973)--(19.074,79.4973), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,94.8384)--(19.074,94.8384), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,102.509)--(19.074,102.509), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,110.179)--(19.074,110.179), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,117.85)--(19.074,117.85), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,133.191)--(19.074,133.191), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,140.862)--(19.074,140.862), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,148.532)--(19.074,148.532), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,156.203)--(19.074,156.203), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,171.544)--(19.074,171.544), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,179.214)--(19.074,179.214), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,186.885)--(19.074,186.885), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,194.556)--(19.074,194.556), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,209.897)--(19.074,209.897), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,217.567)--(19.074,217.567), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,225.238)--(19.074,225.238), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,232.908)--(19.074,232.908), rgb(0, 0, 0)+linewidth(0.66667));draw((15.074,248.25)--(19.074,248.25), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p17660
sg15
I10
sass(g1696
VRandom number generation
p17661
VRandomChoice
p17662
I0
tp17663
(dp17664
g6
VSeedRandom[42]
p17665
sg8
(lp17666
(dp17667
g11
(lp17668
sg13
Nsg15
I1
sass(g1696
g17661
g17662
I1
tp17669
(dp17670
g6
VRandomChoice[{a, b, c}]
p17671
sg8
(lp17672
(dp17673
g11
(lp17674
sg13
V\u005cleft\u005c{c\u005cright\u005c}
p17675
sg15
I2
sass(g1696
g17661
g17662
I2
tp17676
(dp17677
g6
VSeedRandom[42]
p17678
sg8
(lp17679
(dp17680
g11
(lp17681
sg13
Nsg15
I3
sass(g1696
g17661
g17662
I3
tp17682
(dp17683
g6
VRandomChoice[{a, b, c}, 20]
p17684
sg8
(lp17685
(dp17686
g11
(lp17687
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}
p17688
sg15
I4
sass(g1696
g17661
g17662
I4
tp17689
(dp17690
g6
VSeedRandom[42]
p17691
sg8
(lp17692
(dp17693
g11
(lp17694
sg13
Nsg15
I5
sass(g1696
g17661
g17662
I5
tp17695
(dp17696
g6
VRandomChoice[{"a", {1, 2}, x, {}}, 10]
p17697
sg8
(lp17698
(dp17699
g11
(lp17700
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}
p17701
sg15
I6
sass(g1696
g17661
g17662
I6
tp17702
(dp17703
g6
VSeedRandom[42]
p17704
sg8
(lp17705
(dp17706
g11
(lp17707
sg13
Nsg15
I7
sass(g1696
g17661
g17662
I7
tp17708
(dp17709
g6
VRandomChoice[{a, b, c}, {5, 2}]
p17710
sg8
(lp17711
(dp17712
g11
(lp17713
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}
p17714
sg15
I8
sass(g1696
g17661
g17662
I8
tp17715
(dp17716
g6
VSeedRandom[42]
p17717
sg8
(lp17718
(dp17719
g11
(lp17720
sg13
Nsg15
I9
sass(g1696
g17661
g17662
I9
tp17721
(dp17722
g6
VRandomChoice[{1, 100, 5} -> {a, b, c}, 20]
p17723
sg8
(lp17724
(dp17725
g11
(lp17726
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}
p17727
sg15
I10
sass(g1696
g17661
VRandomComplex
p17728
I0
tp17729
(dp17730
g6
VRandomComplex[]
p17731
sg8
(lp17732
(dp17733
g11
(lp17734
sg13
V0.929401+0.406899 I
p17735
sg15
I1
sass(g1696
g17661
g17728
I2
tp17736
(dp17737
g6
VRandomComplex[{1+I, 5+5I}]
p17738
sg8
(lp17739
(dp17740
g11
(lp17741
sg13
V3.78773+2.0133 I
p17742
sg15
I2
sass(g1696
g17661
g17728
I4
tp17743
(dp17744
g6
VRandomComplex[1+I, 5]
p17745
sg8
(lp17746
(dp17747
g11
(lp17748
sg13
V\u005cleft\u005c{0.742717+0.0395458 I,0.0427584+0.588265 I,0.642656+0.865635 I,0.330268+0.878827 I,0.780715+0.452269 I\u005cright\u005c}
p17749
sg15
I3
sass(g1696
g17661
g17728
I5
tp17750
(dp17751
g6
VRandomComplex[{1+I, 2+2I}, {2, 2}]
p17752
sg8
(lp17753
(dp17754
g11
(lp17755
sg13
V\u005cleft\u005c{\u005cleft\u005c{1.93901+1.14469 I,1.65958+1.38756 I\u005cright\u005c},\u005cleft\u005c{1.50787+1.72482 I,1.43309+1.57205 I\u005cright\u005c}\u005cright\u005c}
p17756
sg15
I4
sass(g1696
g17661
VRandomInteger
p17757
I0
tp17758
(dp17759
g6
VRandomInteger[{1, 5}]
p17760
sg8
(lp17761
(dp17762
g11
(lp17763
sg13
V3
p17764
sg15
I1
sass(g1696
g17661
g17757
I2
tp17765
(dp17766
g6
VRandomInteger[100, {2, 3}] // TableForm
p17767
sg8
(lp17768
(dp17769
g11
(lp17770
sg13
V\u005cbegin{array}{ccc} 58 & 66 & 63\u005c\u005c 50 & 2 & 36\u005cend{array}
p17771
sg15
I2
sass(g1696
g17661
g17757
I3
tp17772
(dp17773
g6
VpreviousState = $RandomState;
p17774
sg8
(lp17775
(dp17776
g11
(lp17777
sg13
Nsg15
I3
sass(g1696
g17661
g17757
I4
tp17778
(dp17779
g6
VRandomInteger[]
p17780
sg8
(lp17781
(dp17782
g11
(lp17783
sg13
V0
p17784
sg15
I4
sass(g1696
g17661
g17757
I5
tp17785
(dp17786
g6
V$RandomState != previousState
p17787
sg8
(lp17788
(dp17789
g11
(lp17790
sg13
V\u005ctext{True}
p17791
sg15
I5
sass(g1696
g17661
VRandomReal
p17792
I0
tp17793
(dp17794
g6
VRandomReal[]
p17795
sg8
(lp17796
(dp17797
g11
(lp17798
sg13
V0.726795
p17799
sg15
I1
sass(g1696
g17661
g17792
I2
tp17800
(dp17801
g6
VRandomReal[{1, 5}]
p17802
sg8
(lp17803
(dp17804
g11
(lp17805
sg13
V1.19693
p17806
sg15
I2
sass(g1696
g17661
VRandomSample
p17807
I0
tp17808
(dp17809
g6
VSeedRandom[42]
p17810
sg8
(lp17811
(dp17812
g11
(lp17813
sg13
Nsg15
I1
sass(g1696
g17661
g17807
I1
tp17814
(dp17815
g6
VRandomSample[{a, b, c}]
p17816
sg8
(lp17817
(dp17818
g11
(lp17819
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p17820
sg15
I2
sass(g1696
g17661
g17807
I2
tp17821
(dp17822
g6
VSeedRandom[42]
p17823
sg8
(lp17824
(dp17825
g11
(lp17826
sg13
Nsg15
I3
sass(g1696
g17661
g17807
I3
tp17827
(dp17828
g6
VRandomSample[{a, b, c, d, e, f, g, h}, 7]
p17829
sg8
(lp17830
(dp17831
g11
(lp17832
sg13
V\u005cleft\u005c{b,f,a,h,c,e,d\u005cright\u005c}
p17833
sg15
I4
sass(g1696
g17661
g17807
I4
tp17834
(dp17835
g6
VSeedRandom[42]
p17836
sg8
(lp17837
(dp17838
g11
(lp17839
sg13
Nsg15
I5
sass(g1696
g17661
g17807
I5
tp17840
(dp17841
g6
VRandomSample[{"a", {1, 2}, x, {}}, 3]
p17842
sg8
(lp17843
(dp17844
g11
(lp17845
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{\u005cright\u005c},\u005ctext{a}\u005cright\u005c}
p17846
sg15
I6
sass(g1696
g17661
g17807
I6
tp17847
(dp17848
g6
VSeedRandom[42]
p17849
sg8
(lp17850
(dp17851
g11
(lp17852
sg13
Nsg15
I7
sass(g1696
g17661
g17807
I7
tp17853
(dp17854
g6
VRandomSample[Range[100], {2, 3}]
p17855
sg8
(lp17856
(dp17857
g11
(lp17858
sg13
V\u005cleft\u005c{\u005cleft\u005c{84,54,71\u005cright\u005c},\u005cleft\u005c{46,45,40\u005cright\u005c}\u005cright\u005c}
p17859
sg15
I8
sass(g1696
g17661
g17807
I8
tp17860
(dp17861
g6
VSeedRandom[42]
p17862
sg8
(lp17863
(dp17864
g11
(lp17865
sg13
Nsg15
I9
sass(g1696
g17661
g17807
I9
tp17866
(dp17867
g6
VRandomSample[Range[100] -> Range[100], 5]
p17868
sg8
(lp17869
(dp17870
g11
(lp17871
sg13
V\u005cleft\u005c{62,98,86,78,40\u005cright\u005c}
p17872
sg15
I10
sass(g1696
g17661
V$RandomState
p17873
I0
tp17874
(dp17875
g6
VMod[$RandomState, 10^100]
p17876
sg8
(lp17877
(dp17878
g11
(lp17879
sg13
V7922044771332577934478142750475019874502398704243503672451017835075786662649638475162807729476669486
p17880
sg15
I1
sass(g1696
g17661
g17873
I1
tp17881
(dp17882
g6
VIntegerLength[$RandomState]
p17883
sg8
(lp17884
(dp17885
g11
(lp17886
sg13
V6466
p17887
sg15
I2
sass(g1696
g17661
g17873
I2
tp17888
(dp17889
g6
V$RandomState = 42
p17890
sg8
(lp17891
(dp17892
g11
(lp17893
(dp17894
g149
I01
sg150
V$RandomState
p17895
sg152
Vrndst
p17896
sg154
V$RandomState::rndst
p17897
sg156
VIt is not possible to change the random state.
p17898
sasg13
V42
p17899
sg15
I3
sass(g1696
g17661
g17873
I3
tp17900
(dp17901
g6
V$RandomState = $RandomState;
p17902
sg8
(lp17903
(dp17904
g11
(lp17905
(dp17906
g149
I01
sg150
V$RandomState
p17907
sg152
g17896
sg154
V$RandomState::rndst
p17908
sg156
g17898
sasg13
Nsg15
I4
sass(g1696
g17661
VSeedRandom
p17909
I0
tp17910
(dp17911
g6
VSeedRandom[42]
p17912
sg8
(lp17913
(dp17914
g11
(lp17915
sg13
Nsg15
I1
sass(g1696
g17661
g17909
I1
tp17916
(dp17917
g6
VRandomInteger[100]
p17918
sg8
(lp17919
(dp17920
g11
(lp17921
sg13
V51
p17922
sg15
I2
sass(g1696
g17661
g17909
I2
tp17923
(dp17924
g6
VRandomInteger[100]
p17925
sg8
(lp17926
(dp17927
g11
(lp17928
sg13
V92
p17929
sg15
I3
sass(g1696
g17661
g17909
I3
tp17930
(dp17931
g6
VSeedRandom[42]
p17932
sg8
(lp17933
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g11
(lp17935
sg13
Nsg15
I4
sass(g1696
g17661
g17909
I4
tp17936
(dp17937
g6
VRandomInteger[100]
p17938
sg8
(lp17939
(dp17940
g11
(lp17941
sg13
V51
p17942
sg15
I5
sass(g1696
g17661
g17909
I5
tp17943
(dp17944
g6
VRandomInteger[100]
p17945
sg8
(lp17946
(dp17947
g11
(lp17948
sg13
V92
p17949
sg15
I6
sass(g1696
g17661
g17909
I6
tp17950
(dp17951
g6
VSeedRandom["Mathics"]
p17952
sg8
(lp17953
(dp17954
g11
(lp17955
sg13
Nsg15
I7
sass(g1696
g17661
g17909
I7
tp17956
(dp17957
g6
VRandomInteger[100]
p17958
sg8
(lp17959
(dp17960
g11
(lp17961
sg13
V27
p17962
sg15
I8
sass(g1696
g17661
g17909
I8
tp17963
(dp17964
g6
VSeedRandom[]
p17965
sg8
(lp17966
(dp17967
g11
(lp17968
sg13
Nsg15
I9
sass(g1696
g17661
g17909
I9
tp17969
(dp17970
g6
VRandomInteger[100]
p17971
sg8
(lp17972
(dp17973
g11
(lp17974
sg13
V64
p17975
sg15
I10
sass(g1696
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p17976
VRSolve
p17977
I0
tp17978
(dp17979
g6
VRSolve[a[n] == a[n+1], a[n], n]
p17980
sg8
(lp17981
(dp17982
g11
(lp17983
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cleft[n\u005cright]->C\u005cleft[0\u005cright]\u005cright\u005c}\u005cright\u005c}
p17984
sg15
I1
sass(g1696
g17976
g17977
I1
tp17985
(dp17986
g6
VRSolve[{a[n + 2] == a[n]}, a, n]
p17987
sg8
(lp17988
(dp17989
g11
(lp17990
sg13
V\u005cleft\u005c{\u005cleft\u005c{a->\u005cleft(\u005ctext{Function}\u005cleft[\u005cleft\u005c{n\u005cright\u005c},C\u005cleft[0\u005cright]+C\u005cleft[1\u005cright] -1^n\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p17991
sg15
I2
sass(g1696
g17976
g17977
I2
tp17992
(dp17993
g6
VRSolve[{a[n + 2] == a[n], a[0] == 1}, a, n]
p17994
sg8
(lp17995
(dp17996
g11
(lp17997
sg13
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}
p17998
sg15
I3
sass(g1696
g17976
g17977
I3
tp17999
(dp18000
g6
VRSolve[{a[n + 2] == a[n], a[0] == 1, a[1] == 4}, a, n]
p18001
sg8
(lp18002
(dp18003
g11
(lp18004
sg13
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}
p18005
sg15
I4
sass(g1696
VSpecial Functions
p18006
VAiryAi
p18007
I0
tp18008
(dp18009
g6
VAiryAi[0]
p18010
sg8
(lp18011
(dp18012
g11
(lp18013
sg13
V\u005cfrac{3^{\u005cfrac{1}{3}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{2}{3}\u005cright]}
p18014
sg15
I1
sass(g1696
g18006
g18007
I1
tp18015
(dp18016
g6
VAiryAi[0.5]
p18017
sg8
(lp18018
(dp18019
g11
(lp18020
sg13
V0.231694
p18021
sg15
I2
sass(g1696
g18006
g18007
I2
tp18022
(dp18023
g6
VAiryAi[0.5 + I]
p18024
sg8
(lp18025
(dp18026
g11
(lp18027
sg13
V0.157118-0.24104 I
p18028
sg15
I3
sass(g1696
g18006
g18007
I3
tp18029
(dp18030
g6
VPlot[AiryAi[x], {x, -10, 10}]
p18031
sg8
(lp18032
(dp18033
g11
(lp18034
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
p18035
sg15
I4
sass(g1696
g18006
VAiryAiPrime
p18036
I0
tp18037
(dp18038
g6
VAiryAiPrime[0]
p18039
sg8
(lp18040
(dp18041
g11
(lp18042
sg13
V-\u005cfrac{3^{\u005cfrac{2}{3}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{1}{3}\u005cright]}
p18043
sg15
I1
sass(g1696
g18006
g18036
I1
tp18044
(dp18045
g6
VAiryAiPrime[0.5]
p18046
sg8
(lp18047
(dp18048
g11
(lp18049
sg13
V-0.224911
p18050
sg15
I2
sass(g1696
g18006
VAiryAiZero
p18051
I0
tp18052
(dp18053
g6
VN[AiryAiZero[1]]
p18054
sg8
(lp18055
(dp18056
g11
(lp18057
sg13
V-2.33811
p18058
sg15
I1
sass(g1696
g18006
VAiryBi
p18059
I0
tp18060
(dp18061
g6
VAiryBi[0]
p18062
sg8
(lp18063
(dp18064
g11
(lp18065
sg13
V\u005cfrac{3^{\u005cfrac{5}{6}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{2}{3}\u005cright]}
p18066
sg15
I1
sass(g1696
g18006
g18059
I1
tp18067
(dp18068
g6
VAiryBi[0.5]
p18069
sg8
(lp18070
(dp18071
g11
(lp18072
sg13
V0.854277
p18073
sg15
I2
sass(g1696
g18006
g18059
I2
tp18074
(dp18075
g6
VAiryBi[0.5 + I]
p18076
sg8
(lp18077
(dp18078
g11
(lp18079
sg13
V0.688145+0.370815 I
p18080
sg15
I3
sass(g1696
g18006
g18059
I3
tp18081
(dp18082
g6
VPlot[AiryBi[x], {x, -10, 2}]
p18083
sg8
(lp18084
(dp18085
g11
(lp18086
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((333.33,156.862)--(337.33,156.862), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,178.358)--(337.33,178.358), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,189.106)--(337.33,189.106), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,199.854)--(337.33,199.854), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,210.602)--(337.33,210.602), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,232.098)--(337.33,232.098), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,242.846)--(337.33,242.846), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p18087
sg15
I4
sass(g1696
g18006
VAiryBiPrime
p18088
I0
tp18089
(dp18090
g6
VAiryBiPrime[0]
p18091
sg8
(lp18092
(dp18093
g11
(lp18094
sg13
V\u005cfrac{3^{\u005cfrac{1}{6}}}{\u005ctext{Gamma}\u005cleft[\u005cfrac{1}{3}\u005cright]}
p18095
sg15
I1
sass(g1696
g18006
g18088
I1
tp18096
(dp18097
g6
VAiryBiPrime[0.5]
p18098
sg8
(lp18099
(dp18100
g11
(lp18101
sg13
V0.544573
p18102
sg15
I2
sass(g1696
g18006
VAiryBiZero
p18103
I0
tp18104
(dp18105
g6
VN[AiryBiZero[1]]
p18106
sg8
(lp18107
(dp18108
g11
(lp18109
sg13
V-1.17371
p18110
sg15
I1
sass(g1696
g18006
VAngerJ
p18111
I0
tp18112
(dp18113
g6
VAngerJ[1.5, 3.5]
p18114
sg8
(lp18115
(dp18116
g11
(lp18117
sg13
V0.294479
p18118
sg15
I1
sass(g1696
g18006
g18111
I1
tp18119
(dp18120
g6
VPlot[AngerJ[1, x], {x, -10, 10}]
p18121
sg8
(lp18122
(dp18123
g11
(lp18124
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
p18125
sg15
I2
sass(g1696
g18006
VBesselI
p18126
I0
tp18127
(dp18128
g6
VBesselI[1.5, 4]
p18129
sg8
(lp18130
(dp18131
g11
(lp18132
sg13
V8.17263
p18133
sg15
I1
sass(g1696
g18006
g18126
I1
tp18134
(dp18135
g6
VPlot[BesselI[0, x], {x, 0, 5}]
p18136
sg8
(lp18137
(dp18138
g11
(lp18139
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
p18140
sg15
I2
sass(g1696
g18006
VBesselJ
p18141
I0
tp18142
(dp18143
g6
VBesselJ[0, 5.2]
p18144
sg8
(lp18145
(dp18146
g11
(lp18147
sg13
V-0.11029
p18148
sg15
I1
sass(g1696
g18006
g18141
I3
tp18149
(dp18150
g6
VPlot[BesselJ[0, x], {x, 0, 10}]
p18151
sg8
(lp18152
(dp18153
g11
(lp18154
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
p18155
sg15
I2
sass(g1696
g18006
VBesselJZero
p18156
I0
tp18157
(dp18158
g6
VN[BesselJZero[0, 1]]
p18159
sg8
(lp18160
(dp18161
g11
(lp18162
sg13
V2.40483
p18163
sg15
I1
sass(g1696
g18006
VBesselK
p18164
I0
tp18165
(dp18166
g6
VBesselK[1.5, 4]
p18167
sg8
(lp18168
(dp18169
g11
(lp18170
sg13
V0.014347
p18171
sg15
I1
sass(g1696
g18006
g18164
I1
tp18172
(dp18173
g6
VPlot[BesselK[0, x], {x, 0, 5}]
p18174
sg8
(lp18175
(dp18176
g11
(lp18177
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
p18178
sg15
I2
sass(g1696
g18006
VBesselY
p18179
I0
tp18180
(dp18181
g6
VBesselY[1.5, 4]
p18182
sg8
(lp18183
(dp18184
g11
(lp18185
sg13
V0.367112
p18186
sg15
I1
sass(g1696
g18006
g18179
I1
tp18187
(dp18188
g6
VPlot[BesselY[0, x], {x, 0, 10}]
p18189
sg8
(lp18190
(dp18191
g11
(lp18192
sg13
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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,108.044)--(416,108.044), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$2$", (80.0,105.37684752404103), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (160.0,105.37684752404103), (0,-1), rgb(0, 0, 0));\u000alabel("$6$", (240.0,105.37684752404103), (0,-1), rgb(0, 0, 0));\u000alabel("$8$", (320.0,105.37684752404103), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (400.0,105.37684752404103), (0,-1), rgb(0, 0, 0));\u000adraw((80,108.044)--(80,114.71), rgb(0, 0, 0)+linewidth(0.66667));draw((160,108.044)--(160,114.71), rgb(0, 0, 0)+linewidth(0.66667));draw((240,108.044)--(240,114.71), rgb(0, 0, 0)+linewidth(0.66667));draw((320,108.044)--(320,114.71), rgb(0, 0, 0)+linewidth(0.66667));draw((400,108.044)--(400,114.71), rgb(0, 0, 0)+linewidth(0.66667));draw((20,108.044)--(20,112.044), rgb(0, 0, 0)+linewidth(0.66667));draw((40,108.044)--(40,112.044), rgb(0, 0, 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(-2.6666666666666665,9.635868241933869), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.2$", (-2.6666666666666665,58.83969121632077), (-1,0), rgb(0, 0, 0));\u000alabel("$0.2$", (-2.6666666666666665,157.2473371650946), (-1,0), rgb(0, 0, 0));\u000alabel("$0.4$", (-2.6666666666666665,206.45116013948152), (-1,0), rgb(0, 0, 0));\u000adraw((0,9.63587)--(6.6667,9.63587), rgb(0, 0, 0)+linewidth(0.66667));draw((0,58.8397)--(6.6667,58.8397), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.247)--(6.6667,157.247), rgb(0, 0, 0)+linewidth(0.66667));draw((0,206.451)--(6.6667,206.451), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-2.66509)--(4,-2.66509), rgb(0, 0, 0)+linewidth(0.66667));draw((0,21.9368)--(4,21.9368), rgb(0, 0, 0)+linewidth(0.66667));draw((0,34.2378)--(4,34.2378), rgb(0, 0, 0)+linewidth(0.66667));draw((0,46.5387)--(4,46.5387), rgb(0, 0, 0)+linewidth(0.66667));draw((0,71.1406)--(4,71.1406), rgb(0, 0, 0)+linewidth(0.66667));draw((0,83.4416)--(4,83.4416), rgb(0, 0, 0)+linewidth(0.66667));draw((0,95.7426)--(4,95.7426), rgb(0, 0, 0)+linewidth(0.66667));draw((0,120.344)--(4,120.344), rgb(0, 0, 0)+linewidth(0.66667));draw((0,132.645)--(4,132.645), rgb(0, 0, 0)+linewidth(0.66667));draw((0,144.946)--(4,144.946), rgb(0, 0, 0)+linewidth(0.66667));draw((0,169.548)--(4,169.548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,181.849)--(4,181.849), rgb(0, 0, 0)+linewidth(0.66667));draw((0,194.15)--(4,194.15), rgb(0, 0, 0)+linewidth(0.66667));draw((0,218.752)--(4,218.752), rgb(0, 0, 0)+linewidth(0.66667));draw((0,231.053)--(4,231.053), rgb(0, 0, 0)+linewidth(0.66667));draw((0,243.354)--(4,243.354), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p18193
sg15
I2
sass(g1696
g18006
VBesselYZero
p18194
I0
tp18195
(dp18196
g6
VN[BesselYZero[0, 1]]
p18197
sg8
(lp18198
(dp18199
g11
(lp18200
sg13
V0.893577
p18201
sg15
I1
sass(g1696
g18006
VChebyshevT
p18202
I0
tp18203
(dp18204
g6
VChebyshevT[8, x]
p18205
sg8
(lp18206
(dp18207
g11
(lp18208
sg13
V1-32 x^2+160 x^4-256 x^6+128 x^8
p18209
sg15
I1
sass(g1696
g18006
g18202
I1
tp18210
(dp18211
g6
VChebyshevT[1 - I, 0.5]
p18212
sg8
(lp18213
(dp18214
g11
(lp18215
sg13
V0.800143+1.08198 I
p18216
sg15
I2
sass(g1696
g18006
VChebyshevU
p18217
I0
tp18218
(dp18219
g6
VChebyshevU[8, x]
p18220
sg8
(lp18221
(dp18222
g11
(lp18223
sg13
V1-40 x^2+240 x^4-448 x^6+256 x^8
p18224
sg15
I1
sass(g1696
g18006
g18217
I1
tp18225
(dp18226
g6
VChebyshevU[1 - I, 0.5]
p18227
sg8
(lp18228
(dp18229
g11
(lp18230
sg13
V1.60029+0.721322 I
p18231
sg15
I2
sass(g1696
g18006
VErf
p18232
I0
tp18233
(dp18234
g6
VErf[-x]
p18235
sg8
(lp18236
(dp18237
g11
(lp18238
sg13
V-\u005ctext{Erf}\u005cleft[x\u005cright]
p18239
sg15
I1
sass(g1696
g18006
g18232
I1
tp18240
(dp18241
g6
VErf[1.0]
p18242
sg8
(lp18243
(dp18244
g11
(lp18245
sg13
V0.842701
p18246
sg15
I2
sass(g1696
g18006
g18232
I2
tp18247
(dp18248
g6
VErf[0]
p18249
sg8
(lp18250
(dp18251
g11
(lp18252
sg13
V0
p18253
sg15
I3
sass(g1696
g18006
g18232
I3
tp18254
(dp18255
g6
V{Erf[0, x], Erf[x, 0]}
p18256
sg8
(lp18257
(dp18258
g11
(lp18259
sg13
V\u005cleft\u005c{\u005ctext{Erf}\u005cleft[x\u005cright],-\u005ctext{Erf}\u005cleft[x\u005cright]\u005cright\u005c}
p18260
sg15
I4
sass(g1696
g18006
g18232
I4
tp18261
(dp18262
g6
VPlot[Erf[x], {x, -2, 2}]
p18263
sg8
(lp18264
(dp18265
g11
(lp18266
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
p18267
sg15
I5
sass(g1696
g18006
VErfc
p18268
I0
tp18269
(dp18270
g6
VErfc[-x] / 2
p18271
sg8
(lp18272
(dp18273
g11
(lp18274
sg13
V\u005cfrac{2-\u005ctext{Erfc}\u005cleft[x\u005cright]}{2}
p18275
sg15
I1
sass(g1696
g18006
g18268
I1
tp18276
(dp18277
g6
VErfc[1.0]
p18278
sg8
(lp18279
(dp18280
g11
(lp18281
sg13
V0.157299
p18282
sg15
I2
sass(g1696
g18006
g18268
I2
tp18283
(dp18284
g6
VErfc[0]
p18285
sg8
(lp18286
(dp18287
g11
(lp18288
sg13
V1
p18289
sg15
I3
sass(g1696
g18006
g18268
I3
tp18290
(dp18291
g6
VPlot[Erfc[x], {x, -2, 2}]
p18292
sg8
(lp18293
(dp18294
g11
(lp18295
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
p18296
sg15
I4
sass(g1696
g18006
VExpIntegralE
p18297
I0
tp18298
(dp18299
g6
VExpIntegralE[2.0, 2.0]
p18300
sg8
(lp18301
(dp18302
g11
(lp18303
sg13
V0.0375343
p18304
sg15
I1
sass(g1696
g18006
VExpIntegralEi
p18305
I0
tp18306
(dp18307
g6
VExpIntegralEi[2.0]
p18308
sg8
(lp18309
(dp18310
g11
(lp18311
sg13
V4.95423
p18312
sg15
I1
sass(g1696
g18006
VFresnelC
p18313
I0
tp18314
(dp18315
g6
VFresnelC[{0, Infinity}]
p18316
sg8
(lp18317
(dp18318
g11
(lp18319
sg13
V\u005cleft\u005c{0,\u005cfrac{1}{2}\u005cright\u005c}
p18320
sg15
I1
sass(g1696
g18006
g18313
I1
tp18321
(dp18322
g6
VIntegrate[Cos[x^2 Pi/2], {x, 0, z}]
p18323
sg8
(lp18324
(dp18325
g11
(lp18326
sg13
V\u005cfrac{\u005ctext{FresnelC}\u005cleft[z\u005cright] \u005ctext{Gamma}\u005cleft[\u005cfrac{1}{4}\u005cright]}{4 \u005ctext{Gamma}\u005cleft[\u005cfrac{5}{4}\u005cright]}
p18327
sg15
I2
sass(g1696
g18006
VFresnelS
p18328
I0
tp18329
(dp18330
g6
VFresnelS[{0, Infinity}]
p18331
sg8
(lp18332
(dp18333
g11
(lp18334
sg13
V\u005cleft\u005c{0,\u005cfrac{1}{2}\u005cright\u005c}
p18335
sg15
I1
sass(g1696
g18006
g18328
I1
tp18336
(dp18337
g6
VIntegrate[Sin[x^2 Pi/2], {x, 0, z}]
p18338
sg8
(lp18339
(dp18340
g11
(lp18341
sg13
V\u005cfrac{3 \u005ctext{FresnelS}\u005cleft[z\u005cright] \u005ctext{Gamma}\u005cleft[\u005cfrac{3}{4}\u005cright]}{4 \u005ctext{Gamma}\u005cleft[\u005cfrac{7}{4}\u005cright]}
p18342
sg15
I2
sass(g1696
g18006
VGegenbauerC
p18343
I0
tp18344
(dp18345
g6
VGegenbauerC[6, 1, x]
p18346
sg8
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g11
(lp18349
sg13
V-1+24 x^2-80 x^4+64 x^6
p18350
sg15
I1
sass(g1696
g18006
g18343
I1
tp18351
(dp18352
g6
VGegenbauerC[4 - I, 1 + 2 I, 0.7]
p18353
sg8
(lp18354
(dp18355
g11
(lp18356
sg13
V-3.2621-24.9739 I
p18357
sg15
I2
sass(g1696
g18006
VHankelH1
p18358
I0
tp18359
(dp18360
g6
VHankelH1[1.5, 4]
p18361
sg8
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(dp18363
g11
(lp18364
sg13
V0.185286+0.367112 I
p18365
sg15
I1
sass(g1696
g18006
VHankelH2
p18366
I0
tp18367
(dp18368
g6
VHankelH2[1.5, 4]
p18369
sg8
(lp18370
(dp18371
g11
(lp18372
sg13
V0.185286-0.367112 I
p18373
sg15
I1
sass(g1696
g18006
VHermiteH
p18374
I0
tp18375
(dp18376
g6
VHermiteH[8, x]
p18377
sg8
(lp18378
(dp18379
g11
(lp18380
sg13
V1680-13440 x^2+13440 x^4-3584 x^6+256 x^8
p18381
sg15
I1
sass(g1696
g18006
g18374
I1
tp18382
(dp18383
g6
VHermiteH[3, 1 + I]
p18384
sg8
(lp18385
(dp18386
g11
(lp18387
sg13
V-28+4 I
p18388
sg15
I2
sass(g1696
g18006
g18374
I2
tp18389
(dp18390
g6
VHermiteH[4.2, 2]
p18391
sg8
(lp18392
(dp18393
g11
(lp18394
sg13
V77.5291
p18395
sg15
I3
sass(g1696
g18006
VInverseErf
p18396
I0
tp18397
(dp18398
g6
VInverseErf /@ {-1, 0, 1}
p18399
sg8
(lp18400
(dp18401
g11
(lp18402
sg13
V\u005cleft\u005c{-\u005cinfty ,0,\u005cinfty \u005cright\u005c}
p18403
sg15
I1
sass(g1696
g18006
g18396
I1
tp18404
(dp18405
g6
VPlot[InverseErf[x], {x, -1, 1}]
p18406
sg8
(lp18407
(dp18408
g11
(lp18409
sg13
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p18410
sg15
I2
sass(g1696
g18006
g18396
I2
tp18411
(dp18412
g6
VInverseErf /@ {0.9, 1.0, 1.1}
p18413
sg8
(lp18414
(dp18415
g11
(lp18416
sg13
V\u005cleft\u005c{1.16309,\u005cinfty ,\u005ctext{InverseErf}\u005cleft[1.1\u005cright]\u005cright\u005c}
p18417
sg15
I3
sass(g1696
g18006
VInverseErfc
p18418
I0
tp18419
(dp18420
g6
VInverseErfc /@ {0, 1, 2}
p18421
sg8
(lp18422
(dp18423
g11
(lp18424
sg13
V\u005cleft\u005c{\u005cinfty ,0,-\u005cinfty \u005cright\u005c}
p18425
sg15
I1
sass(g1696
g18006
VJacobiP
p18426
I0
tp18427
(dp18428
g6
VJacobiP[1, a, b, z]
p18429
sg8
(lp18430
(dp18431
g11
(lp18432
sg13
V\u005cfrac{a}{2}-\u005cfrac{b}{2}+z \u005cleft(1+\u005cfrac{a}{2}+\u005cfrac{b}{2}\u005cright)
p18433
sg15
I1
sass(g1696
g18006
g18426
I1
tp18434
(dp18435
g6
VJacobiP[3.5 + I, 3, 2, 4 - I]
p18436
sg8
(lp18437
(dp18438
g11
(lp18439
sg13
V1410.02+5797.3 I
p18440
sg15
I2
sass(g1696
g18006
VKelvinBei
p18441
I0
tp18442
(dp18443
g6
VKelvinBei[0.5]
p18444
sg8
(lp18445
(dp18446
g11
(lp18447
sg13
V0.0624932
p18448
sg15
I1
sass(g1696
g18006
g18441
I1
tp18449
(dp18450
g6
VKelvinBei[1.5 + I]
p18451
sg8
(lp18452
(dp18453
g11
(lp18454
sg13
V0.326323+0.755606 I
p18455
sg15
I2
sass(g1696
g18006
g18441
I2
tp18456
(dp18457
g6
VKelvinBei[0.5, 0.25]
p18458
sg8
(lp18459
(dp18460
g11
(lp18461
sg13
V0.370153
p18462
sg15
I3
sass(g1696
g18006
g18441
I3
tp18463
(dp18464
g6
VPlot[KelvinBei[x], {x, 0, 10}]
p18465
sg8
(lp18466
(dp18467
g11
(lp18468
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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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
p18469
sg15
I4
sass(g1696
g18006
VKelvinBer
p18470
I0
tp18471
(dp18472
g6
VKelvinBer[0.5]
p18473
sg8
(lp18474
(dp18475
g11
(lp18476
sg13
V0.999023
p18477
sg15
I1
sass(g1696
g18006
g18470
I1
tp18478
(dp18479
g6
VKelvinBer[1.5 + I]
p18480
sg8
(lp18481
(dp18482
g11
(lp18483
sg13
V1.1162-0.117944 I
p18484
sg15
I2
sass(g1696
g18006
g18470
I2
tp18485
(dp18486
g6
VKelvinBer[0.5, 0.25]
p18487
sg8
(lp18488
(dp18489
g11
(lp18490
sg13
V0.148824
p18491
sg15
I3
sass(g1696
g18006
g18470
I3
tp18492
(dp18493
g6
VPlot[KelvinBer[x], {x, 0, 10}]
p18494
sg8
(lp18495
(dp18496
g11
(lp18497
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
p18498
sg15
I4
sass(g1696
g18006
VKelvinKei
p18499
I0
tp18500
(dp18501
g6
VKelvinKei[0.5]
p18502
sg8
(lp18503
(dp18504
g11
(lp18505
sg13
V-0.671582
p18506
sg15
I1
sass(g1696
g18006
g18499
I1
tp18507
(dp18508
g6
VKelvinKei[1.5 + I]
p18509
sg8
(lp18510
(dp18511
g11
(lp18512
sg13
V-0.248994+0.303326 I
p18513
sg15
I2
sass(g1696
g18006
g18499
I2
tp18514
(dp18515
g6
VKelvinKei[0.5, 0.25]
p18516
sg8
(lp18517
(dp18518
g11
(lp18519
sg13
V-2.0517
p18520
sg15
I3
sass(g1696
g18006
g18499
I3
tp18521
(dp18522
g6
VPlot[KelvinKei[x], {x, 0, 10}]
p18523
sg8
(lp18524
(dp18525
g11
(lp18526
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
p18527
sg15
I4
sass(g1696
g18006
VKelvinKer
p18528
I0
tp18529
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p18535
sg15
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p18538
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g11
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p18542
sg15
I2
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g18006
g18528
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tp18543
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p18545
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p18549
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sass(g1696
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g18528
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tp18550
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p18552
sg8
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g11
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sg13
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0)+linewidth(0.66667));draw((0,153.984)--(4,153.984), rgb(0, 0, 0)+linewidth(0.66667));draw((0,161.285)--(4,161.285), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.587)--(4,168.587), rgb(0, 0, 0)+linewidth(0.66667));draw((0,175.888)--(4,175.888), rgb(0, 0, 0)+linewidth(0.66667));draw((0,190.49)--(4,190.49), rgb(0, 0, 0)+linewidth(0.66667));draw((0,197.792)--(4,197.792), rgb(0, 0, 0)+linewidth(0.66667));draw((0,205.093)--(4,205.093), rgb(0, 0, 0)+linewidth(0.66667));draw((0,212.394)--(4,212.394), rgb(0, 0, 0)+linewidth(0.66667));draw((0,226.997)--(4,226.997), rgb(0, 0, 0)+linewidth(0.66667));draw((0,234.298)--(4,234.298), rgb(0, 0, 0)+linewidth(0.66667));draw((0,241.6)--(4,241.6), rgb(0, 0, 0)+linewidth(0.66667));draw((0,248.901)--(4,248.901), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p18556
sg15
I4
sass(g1696
g18006
VLaguerreL
p18557
I0
tp18558
(dp18559
g6
VLaguerreL[8, x]
p18560
sg8
(lp18561
(dp18562
g11
(lp18563
sg13
V1-8 x+14 x^2-\u005cfrac{28 x^3}{3}+\u005cfrac{35 x^4}{12}-\u005cfrac{7 x^5}{15}+\u005cfrac{7 x^6}{180}-\u005cfrac{x^7}{630}+\u005cfrac{x^8}{40320}
p18564
sg15
I1
sass(g1696
g18006
g18557
I1
tp18565
(dp18566
g6
VLaguerreL[3/2, 1.7]
p18567
sg8
(lp18568
(dp18569
g11
(lp18570
sg13
V-0.947134
p18571
sg15
I2
sass(g1696
g18006
g18557
I2
tp18572
(dp18573
g6
VLaguerreL[5, 2, x]
p18574
sg8
(lp18575
(dp18576
g11
(lp18577
sg13
V21-35 x+\u005cfrac{35 x^2}{2}-\u005cfrac{7 x^3}{2}+\u005cfrac{7 x^4}{24}-\u005cfrac{x^5}{120}
p18578
sg15
I3
sass(g1696
g18006
VLegendreP
p18579
I0
tp18580
(dp18581
g6
VLegendreP[4, x]
p18582
sg8
(lp18583
(dp18584
g11
(lp18585
sg13
V\u005cfrac{3}{8}-\u005cfrac{15 x^2}{4}+\u005cfrac{35 x^4}{8}
p18586
sg15
I1
sass(g1696
g18006
g18579
I1
tp18587
(dp18588
g6
VLegendreP[5/2, 1.5]
p18589
sg8
(lp18590
(dp18591
g11
(lp18592
sg13
V4.17762
p18593
sg15
I2
sass(g1696
g18006
g18579
I2
tp18594
(dp18595
g6
VLegendreP[1.75, 1.4, 0.53]
p18596
sg8
(lp18597
(dp18598
g11
(lp18599
sg13
V-1.32619
p18600
sg15
I3
sass(g1696
g18006
g18579
I3
tp18601
(dp18602
g6
VLegendreP[1.6, 3.1, 1.5]
p18603
sg8
(lp18604
(dp18605
g11
(lp18606
sg13
V-0.303998-1.91937 I
p18607
sg15
I4
sass(g1696
g18006
g18579
I4
tp18608
(dp18609
g6
VParametricPlot[ {LegendreP[7, x], LegendreP[5, x]}, {x, -1, 1}]
p18610
sg8
(lp18611
(dp18612
g11
(lp18613
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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
p18614
sg15
I5
sass(g1696
g18006
VLegendreQ
p18615
I0
tp18616
(dp18617
g6
VLegendreQ[5/2, 1.5]
p18618
sg8
(lp18619
(dp18620
g11
(lp18621
sg13
V0.036211-6.56219 I
p18622
sg15
I1
sass(g1696
g18006
g18615
I1
tp18623
(dp18624
g6
VLegendreQ[1.75, 1.4, 0.53]
p18625
sg8
(lp18626
(dp18627
g11
(lp18628
sg13
V2.05499
p18629
sg15
I2
sass(g1696
g18006
g18615
I2
tp18630
(dp18631
g6
VLegendreQ[1.6, 3.1, 1.5]
p18632
sg8
(lp18633
(dp18634
g11
(lp18635
sg13
V-1.71931-7.70273 I
p18636
sg15
I3
sass(g1696
g18006
VProductLog
p18637
I0
tp18638
(dp18639
g6
Vz == ProductLog[z] * E ^ ProductLog[z]
p18640
sg8
(lp18641
(dp18642
g11
(lp18643
sg13
V\u005ctext{True}
p18644
sg15
I1
sass(g1696
g18006
g18637
I1
tp18645
(dp18646
g6
VProductLog[0]
p18647
sg8
(lp18648
(dp18649
g11
(lp18650
sg13
V0
p18651
sg15
I2
sass(g1696
g18006
g18637
I2
tp18652
(dp18653
g6
VProductLog[E]
p18654
sg8
(lp18655
(dp18656
g11
(lp18657
sg13
V1
p18658
sg15
I3
sass(g1696
g18006
g18637
I3
tp18659
(dp18660
g6
VPlot[ProductLog[x], {x, -1/E, E}]
p18661
sg8
(lp18662
(dp18663
g11
(lp18664
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
p18665
sg15
I4
sass(g1696
g18006
VSphericalHarmonicY
p18666
I0
tp18667
(dp18668
g6
VSphericalHarmonicY[3/4, 0.5, Pi/5, Pi/3]
p18669
sg8
(lp18670
(dp18671
g11
(lp18672
sg13
V0.254247+0.14679 I
p18673
sg15
I1
sass(g1696
g18006
g18666
I1
tp18674
(dp18675
g6
VSphericalHarmonicY[3, 1, theta, phi]
p18676
sg8
(lp18677
(dp18678
g11
(lp18679
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}}}
p18680
sg15
I2
sass(g1696
g18006
VStruveH
p18681
I0
tp18682
(dp18683
g6
VStruveH[1.5, 3.5]
p18684
sg8
(lp18685
(dp18686
g11
(lp18687
sg13
V1.13192
p18688
sg15
I1
sass(g1696
g18006
g18681
I1
tp18689
(dp18690
g6
VPlot[StruveH[0, x], {x, 0, 20}]
p18691
sg8
(lp18692
(dp18693
g11
(lp18694
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
p18695
sg15
I2
sass(g1696
g18006
VStruveL
p18696
I0
tp18697
(dp18698
g6
VStruveL[1.5, 3.5]
p18699
sg8
(lp18700
(dp18701
g11
(lp18702
sg13
V4.41126
p18703
sg15
I1
sass(g1696
g18006
g18696
I1
tp18704
(dp18705
g6
VPlot[StruveL[0, x], {x, 0, 5}]
p18706
sg8
(lp18707
(dp18708
g11
(lp18709
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
p18710
sg15
I2
sass(g1696
g18006
VWeberE
p18711
I0
tp18712
(dp18713
g6
VWeberE[1.5, 3.5]
p18714
sg8
(lp18715
(dp18716
g11
(lp18717
sg13
V-0.397256
p18718
sg15
I1
sass(g1696
g18006
g18711
I1
tp18719
(dp18720
g6
VPlot[WeberE[1, x], {x, -10, 10}]
p18721
sg8
(lp18722
(dp18723
g11
(lp18724
sg13
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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((-16,107.571)--(416,107.571), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-10$", (0.0,104.9046794067874), (0,-1), rgb(0, 0, 0));\u000alabel("$-5$", (100.0,104.9046794067874), (0,-1), rgb(0, 0, 0));\u000alabel("$5$", (300.0,104.9046794067874), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (400.0,104.9046794067874), (0,-1), rgb(0, 0, 0));\u000adraw((0,107.571)--(0,114.238), rgb(0, 0, 0)+linewidth(0.66667));draw((100,107.571)--(100,114.238), rgb(0, 0, 0)+linewidth(0.66667));draw((300,107.571)--(300,114.238), rgb(0, 0, 0)+linewidth(0.66667));draw((400,107.571)--(400,114.238), rgb(0, 0, 0)+linewidth(0.66667));draw((20,107.571)--(20,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((40,107.571)--(40,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((60,107.571)--(60,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((80,107.571)--(80,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((120,107.571)--(120,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((140,107.571)--(140,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((160,107.571)--(160,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((180,107.571)--(180,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((220,107.571)--(220,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((240,107.571)--(240,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((260,107.571)--(260,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((280,107.571)--(280,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((320,107.571)--(320,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((340,107.571)--(340,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((360,107.571)--(360,111.571), rgb(0, 0, 0)+linewidth(0.66667));draw((380,107.571)--(380,111.571), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.4$", (197.33333333333334,23.341058969124234), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.2$", (197.33333333333334,65.45620252128916), (-1,0), rgb(0, 0, 0));\u000alabel("$0.2$", (197.33333333333334,149.68648962561895), (-1,0), rgb(0, 0, 0));\u000alabel("$0.4$", (197.33333333333334,191.80163317778388), (-1,0), rgb(0, 0, 0));\u000alabel("$0.6$", (197.33333333333334,233.91677672994882), (-1,0), rgb(0, 0, 0));\u000adraw((200,23.3411)--(206.67,23.3411), rgb(0, 0, 0)+linewidth(0.66667));draw((200,65.4562)--(206.67,65.4562), rgb(0, 0, 0)+linewidth(0.66667));draw((200,149.686)--(206.67,149.686), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.802)--(206.67,191.802), rgb(0, 0, 0)+linewidth(0.66667));draw((200,233.917)--(206.67,233.917), rgb(0, 0, 0)+linewidth(0.66667));draw((200,2.28349)--(204,2.28349), rgb(0, 0, 0)+linewidth(0.66667));draw((200,12.8123)--(204,12.8123), rgb(0, 0, 0)+linewidth(0.66667));draw((200,33.8698)--(204,33.8698), rgb(0, 0, 0)+linewidth(0.66667));draw((200,44.3986)--(204,44.3986), rgb(0, 0, 0)+linewidth(0.66667));draw((200,54.9274)--(204,54.9274), rgb(0, 0, 0)+linewidth(0.66667));draw((200,75.985)--(204,75.985), rgb(0, 0, 0)+linewidth(0.66667));draw((200,86.5138)--(204,86.5138), rgb(0, 0, 0)+linewidth(0.66667));draw((200,97.0426)--(204,97.0426), rgb(0, 0, 0)+linewidth(0.66667));draw((200,118.1)--(204,118.1), rgb(0, 0, 0)+linewidth(0.66667));draw((200,128.629)--(204,128.629), rgb(0, 0, 0)+linewidth(0.66667));draw((200,139.158)--(204,139.158), rgb(0, 0, 0)+linewidth(0.66667));draw((200,160.215)--(204,160.215), rgb(0, 0, 0)+linewidth(0.66667));draw((200,170.744)--(204,170.744), rgb(0, 0, 0)+linewidth(0.66667));draw((200,181.273)--(204,181.273), rgb(0, 0, 0)+linewidth(0.66667));draw((200,202.33)--(204,202.33), rgb(0, 0, 0)+linewidth(0.66667));draw((200,212.859)--(204,212.859), rgb(0, 0, 0)+linewidth(0.66667));draw((200,223.388)--(204,223.388), rgb(0, 0, 0)+linewidth(0.66667));draw((200,244.446)--(204,244.446), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p18725
sg15
I2
sass(g1696
g18006
VZeta
p18726
I0
tp18727
(dp18728
g6
VZeta[2]
p18729
sg8
(lp18730
(dp18731
g11
(lp18732
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p18733
sg15
I1
sass(g1696
g18006
g18726
I1
tp18734
(dp18735
g6
VZeta[-2.5 + I]
p18736
sg8
(lp18737
(dp18738
g11
(lp18739
sg13
V0.0235936+0.0014078 I
p18740
sg15
I2
sass(g1696
VScoping
p18741
VBegin
p18742
I0
tp18743
(dp18744
g6
VBegin["test`"]
p18745
sg8
(lp18746
(dp18747
g11
(lp18748
sg13
V\u005ctext{test`}
p18749
sg15
I1
sass(g1696
g18741
g18742
I1
tp18750
(dp18751
g6
V{$Context, $ContextPath}
p18752
sg8
(lp18753
(dp18754
g11
(lp18755
sg13
V\u005cleft\u005c{\u005ctext{test`},\u005cleft\u005c{\u005ctext{Global`},\u005ctext{System`}\u005cright\u005c}\u005cright\u005c}
p18756
sg15
I2
sass(g1696
g18741
g18742
I2
tp18757
(dp18758
g6
VContext[newsymbol]
p18759
sg8
(lp18760
(dp18761
g11
(lp18762
sg13
V\u005ctext{test`}
p18763
sg15
I3
sass(g1696
g18741
g18742
I3
tp18764
(dp18765
g6
VEnd[]
p18766
sg8
(lp18767
(dp18768
g11
(lp18769
sg13
V\u005ctext{test`}
p18770
sg15
I4
sass(g1696
g18741
g18742
I4
tp18771
(dp18772
g6
VEnd[]
p18773
sg8
(lp18774
(dp18775
g11
(lp18776
(dp18777
g149
I01
sg150
VEnd
p18778
sg152
Vnoctx
p18779
sg154
VEnd::noctx
p18780
sg156
VNo previous context defined.
p18781
sasg13
V\u005ctext{Global`}
p18782
sg15
I5
sass(g1696
g18741
VBeginPackage
p18783
I0
tp18784
(dp18785
g6
VBeginPackage["test`"]
p18786
sg8
(lp18787
(dp18788
g11
(lp18789
sg13
V\u005ctext{test`}
p18790
sg15
I1
sass(g1696
g18741
VBlock
p18791
I0
tp18792
(dp18793
g6
Vn = 10
p18794
sg8
(lp18795
(dp18796
g11
(lp18797
sg13
V10
p18798
sg15
I1
sass(g1696
g18741
g18791
I1
tp18799
(dp18800
g6
VBlock[{n = 5}, n ^ 2]
p18801
sg8
(lp18802
(dp18803
g11
(lp18804
sg13
V25
p18805
sg15
I2
sass(g1696
g18741
g18791
I2
tp18806
(dp18807
g6
g6797
sg8
(lp18808
(dp18809
g11
(lp18810
sg13
V10
p18811
sg15
I3
sass(g1696
g18741
g18791
I3
tp18812
(dp18813
g6
VBlock[{x = n+2, n}, {x, n}]
p18814
sg8
(lp18815
(dp18816
g11
(lp18817
sg13
V\u005cleft\u005c{12,10\u005cright\u005c}
p18818
sg15
I4
sass(g1696
g18741
g18791
I4
tp18819
(dp18820
g6
VBlock[{x + y}, x]
p18821
sg8
(lp18822
(dp18823
g11
(lp18824
(dp18825
g149
I01
sg150
VBlock
p18826
sg152
Vlvsym
p18827
sg154
VBlock::lvsym
p18828
sg156
VLocal variable specification contains x + y, which is not a symbol or an assignment to a symbol.
p18829
sasg13
g195
sg15
I5
sass(g1696
g18741
g18791
I5
tp18830
(dp18831
g6
VBlock[{x, x}, x]
p18832
sg8
(lp18833
(dp18834
g11
(lp18835
(dp18836
g149
I01
sg150
VBlock
p18837
sg152
Vdup
p18838
sg154
VBlock::dup
p18839
sg156
VDuplicate local variable x found in local variable specification.
p18840
sasg13
g195
sg15
I6
sass(g1696
g18741
VContext
p18841
I0
tp18842
(dp18843
g6
VContext[a]
p18844
sg8
(lp18845
(dp18846
g11
(lp18847
sg13
V\u005ctext{Global`}
p18848
sg15
I1
sass(g1696
g18741
g18841
I1
tp18849
(dp18850
g6
VContext[b`c]
p18851
sg8
(lp18852
(dp18853
g11
(lp18854
sg13
V\u005ctext{b`}
p18855
sg15
I2
sass(g1696
g18741
g18841
I2
tp18856
(dp18857
g6
VInputForm[Context[]]
p18858
sg8
(lp18859
(dp18860
g11
(lp18861
sg13
V\u005ctext{"Global`"}
p18862
sg15
I3
sass(g1696
g18741
V$ContextPath
p18863
I0
tp18864
(dp18865
g6
V$ContextPath // InputForm
p18866
sg8
(lp18867
(dp18868
g11
(lp18869
sg13
V\u005cleft\u005c{\u005ctext{"Global`"}, \u005ctext{"System`"}\u005cright\u005c}
p18870
sg15
I1
sass(g1696
g18741
V$Context
p18871
I0
tp18872
(dp18873
g6
V$Context
p18874
sg8
(lp18875
(dp18876
g11
(lp18877
sg13
V\u005ctext{Global`}
p18878
sg15
I1
sass(g1696
g18741
VContexts
p18879
I0
tp18880
(dp18881
g6
Vx = 5;
p18882
sg8
(lp18883
(dp18884
g11
(lp18885
sg13
Nsg15
I1
sass(g1696
g18741
g18879
I1
tp18886
(dp18887
g6
VContexts[] // InputForm
p18888
sg8
(lp18889
(dp18890
g11
(lp18891
sg13
V\u005cleft\u005c{\u005ctext{"CombinatoricaOld`"}, \u005ctext{"Global`"}, \u005ctext{"ImportExport`"}, \u005ctext{"Internal`"}, \u005ctext{"System`"}, \u005ctext{"System`Convert`B64Dump`"}, \u005ctext{"System`Convert`Image`"}, \u005ctext{"System`Convert`JSONDump`"}, \u005ctext{"System`Convert`TableDump`"}, \u005ctext{"System`Convert`TextDump`"}, \u005ctext{"System`Private`"}, \u005ctext{"XML`"}, \u005ctext{"XML`Parser`"}\u005cright\u005c}
p18892
sg15
I2
sass(g1696
g18741
VModule
p18893
I0
tp18894
(dp18895
g6
Vx = 10;
p18896
sg8
(lp18897
(dp18898
g11
(lp18899
sg13
Nsg15
I1
sass(g1696
g18741
g18893
I1
tp18900
(dp18901
g6
VModule[{x=x}, x=x+1; x]
p18902
sg8
(lp18903
(dp18904
g11
(lp18905
sg13
V11
p18906
sg15
I2
sass(g1696
g18741
g18893
I2
tp18907
(dp18908
g6
g195
sg8
(lp18909
(dp18910
g11
(lp18911
sg13
V10
p18912
sg15
I3
sass(g1696
g18741
g18893
I3
tp18913
(dp18914
g6
Vt === Module[{t}, t]
p18915
sg8
(lp18916
(dp18917
g11
(lp18918
sg13
V\u005ctext{False}
p18919
sg15
I4
sass(g1696
g18741
g18893
I4
tp18920
(dp18921
g6
VModule[{t=x}, x = x + 1; t]
p18922
sg8
(lp18923
(dp18924
g11
(lp18925
sg13
V10
p18926
sg15
I5
sass(g1696
g18741
g18893
I5
tp18927
(dp18928
g6
g195
sg8
(lp18929
(dp18930
g11
(lp18931
sg13
V11
p18932
sg15
I6
sass(g1696
g18741
g18893
I6
tp18933
(dp18934
g6
VModule[{a}, Block[{a}, a]]
p18935
sg8
(lp18936
(dp18937
g11
(lp18938
sg13
g542
sg15
I7
sass(g1696
g18741
g18893
I7
tp18939
(dp18940
g6
VModule[{a}, Block[{}, a]]
p18941
sg8
(lp18942
(dp18943
g11
(lp18944
sg13
V\u005ctext{a\u005c$5}
p18945
sg15
I8
sass(g1696
g18741
V$ModuleNumber
p18946
I0
tp18947
(dp18948
g6
VUnprotect[$ModuleNumber]
p18949
sg8
(lp18950
(dp18951
g11
(lp18952
sg13
Nsg15
I1
sass(g1696
g18741
g18946
I1
tp18953
(dp18954
g6
V$ModuleNumber = 20;
p18955
sg8
(lp18956
(dp18957
g11
(lp18958
sg13
Nsg15
I2
sass(g1696
g18741
g18946
I2
tp18959
(dp18960
g6
VModule[{x}, x]
p18961
sg8
(lp18962
(dp18963
g11
(lp18964
sg13
V\u005ctext{x\u005c$20}
p18965
sg15
I3
sass(g1696
g18741
g18946
I3
tp18966
(dp18967
g6
V$ModuleNumber = x;
p18968
sg8
(lp18969
(dp18970
g11
(lp18971
(dp18972
g149
I01
sg150
V$ModuleNumber
p18973
sg152
Vset
p18974
sg154
V$ModuleNumber::set
p18975
sg156
VCannot set $ModuleNumber to x; value must be a positive integer.
p18976
sasg13
Nsg15
I4
sass(g1696
g18741
VUnique
p18977
I0
tp18978
(dp18979
g6
VUnique[]
p18980
sg8
(lp18981
(dp18982
g11
(lp18983
sg13
V\u005ctext{\u005c$9}
p18984
sg15
I1
sass(g1696
g18741
g18977
I1
tp18985
(dp18986
g6
VUnique[sym]
p18987
sg8
(lp18988
(dp18989
g11
(lp18990
sg13
V\u005ctext{sym\u005c$1}
p18991
sg15
I2
sass(g1696
g18741
g18977
I2
tp18992
(dp18993
g6
VUnique["x"]
p18994
sg8
(lp18995
(dp18996
g11
(lp18997
sg13
V\u005ctext{x10}
p18998
sg15
I3
sass(g1696
g18741
g18977
I7
tp18999
(dp19000
g6
V{$ModuleNumber, Unique[x], $ModuleNumber}
p19001
sg8
(lp19002
(dp19003
g11
(lp19004
sg13
V\u005cleft\u005c{2,\u005ctext{x\u005c$2},3\u005cright\u005c}
p19005
sg15
I4
sass(g1696
g18741
g18977
I8
tp19006
(dp19007
g6
V{Module[{x}, x], Unique[x]}
p19008
sg8
(lp19009
(dp19010
g11
(lp19011
sg13
V\u005cleft\u005c{\u005ctext{x\u005c$3},\u005ctext{x\u005c$4}\u005cright\u005c}
p19012
sg15
I5
sass(g1696
g18741
g18977
I9
tp19013
(dp19014
g6
VUnique[{x, "s"}, Flat ^ Listable ^ Orderless]
p19015
sg8
(lp19016
(dp19017
g11
(lp19018
(dp19019
g149
I01
sg150
VUnique
p19020
sg152
Vattnf
p19021
sg154
VUnique::attnf
p19022
sg156
VFlat ^ Listable ^ Orderless is not a known attribute.
p19023
sasg13
V\u005ctext{Unique}\u005cleft[\u005cleft\u005c{x,\u005ctext{s}\u005cright\u005c},\u005ctext{Flat}^{\u005ctext{Listable}^{\u005ctext{Orderless}}}\u005cright]
p19024
sg15
I6
sass(g1696
g18741
g18977
I10
tp19025
(dp19026
g6
VUnique[x + y]
p19027
sg8
(lp19028
(dp19029
g11
(lp19030
(dp19031
g149
I01
sg150
VUnique
p19032
sg152
Vusym
p19033
sg154
VUnique::usym
p19034
sg156
Vx + y is not a symbol or a valid symbol name.
p19035
sasg13
V\u005ctext{Unique}\u005cleft[x+y\u005cright]
p19036
sg15
I7
sass(g1696
g18741
VWith
p19037
I0
tp19038
(dp19039
g6
Vn = 10
p19040
sg8
(lp19041
(dp19042
g11
(lp19043
sg13
V10
p19044
sg15
I1
sass(g1696
g18741
g19037
I1
tp19045
(dp19046
g6
VWith[{x = a}, (1 + x^2) &]
p19047
sg8
(lp19048
(dp19049
g11
(lp19050
sg13
V1+a^2\u005c&
p19051
sg15
I2
sass(g1696
g18741
g19037
I2
tp19052
(dp19053
g6
VWith[{x=y}, Hold[x]]
p19054
sg8
(lp19055
(dp19056
g11
(lp19057
sg13
V\u005ctext{Hold}\u005cleft[y\u005cright]
p19058
sg15
I3
sass(g1696
g18741
g19037
I3
tp19059
(dp19060
g6
VTable[With[{i=j}, Hold[i]],{j,1,4}]
p19061
sg8
(lp19062
(dp19063
g11
(lp19064
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}
p19065
sg15
I4
sass(g1696
g18741
g19037
I4
tp19066
(dp19067
g6
Vx=5; With[{x=x}, Hold[x]]
p19068
sg8
(lp19069
(dp19070
g11
(lp19071
sg13
V\u005ctext{Hold}\u005cleft[5\u005cright]
p19072
sg15
I5
sass(g1696
g18741
g19037
I5
tp19073
(dp19074
g6
V{Block[{x = 3}, Hold[x]], With[{x = 3}, Hold[x]]}
p19075
sg8
(lp19076
(dp19077
g11
(lp19078
sg13
V\u005cleft\u005c{\u005ctext{Hold}\u005cleft[x\u005cright],\u005ctext{Hold}\u005cleft[3\u005cright]\u005cright\u005c}
p19079
sg15
I6
sass(g1696
g18741
g19037
I6
tp19080
(dp19081
g6
Vx=.; ReleaseHold /@ %
p19082
sg8
(lp19083
(dp19084
g11
(lp19085
sg13
V\u005cleft\u005c{x,3\u005cright\u005c}
p19086
sg15
I7
sass(g1696
g18741
g19037
I7
tp19087
(dp19088
g6
VWith[{e = y}, Function[{x,y}, e*x*y]]
p19089
sg8
(lp19090
(dp19091
g11
(lp19092
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{\u005ctext{x\u005c$},\u005ctext{y\u005c$}\u005cright\u005c},y \u005ctext{x\u005c$} \u005ctext{y\u005c$}\u005cright]
p19093
sg15
I8
sass(g1696
VStrings and Characters
p19094
VCharacterRange
p19095
I0
tp19096
(dp19097
g6
VCharacterRange["a", "e"]
p19098
sg8
(lp19099
(dp19100
g11
(lp19101
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d},\u005ctext{e}\u005cright\u005c}
p19102
sg15
I1
sass(g1696
g19094
g19095
I1
tp19103
(dp19104
g6
VCharacterRange["b", "a"]
p19105
sg8
(lp19106
(dp19107
g11
(lp19108
sg13
V\u005cleft\u005c{\u005cright\u005c}
p19109
sg15
I2
sass(g1696
g19094
VCharacters
p19110
I0
tp19111
(dp19112
g6
VCharacters["abc"]
p19113
sg8
(lp19114
(dp19115
g11
(lp19116
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p19117
sg15
I1
sass(g1696
g19094
VDamerauLevenshteinDistance
p19118
I0
tp19119
(dp19120
g6
VDamerauLevenshteinDistance["kitten", "kitchen"]
p19121
sg8
(lp19122
(dp19123
g11
(lp19124
sg13
V2
p19125
sg15
I1
sass(g1696
g19094
g19118
I1
tp19126
(dp19127
g6
VDamerauLevenshteinDistance["abc", "ac"]
p19128
sg8
(lp19129
(dp19130
g11
(lp19131
sg13
V1
p19132
sg15
I2
sass(g1696
g19094
g19118
I2
tp19133
(dp19134
g6
VDamerauLevenshteinDistance["abc", "acb"]
p19135
sg8
(lp19136
(dp19137
g11
(lp19138
sg13
V1
p19139
sg15
I3
sass(g1696
g19094
g19118
I3
tp19140
(dp19141
g6
VDamerauLevenshteinDistance["azbc", "abxyc"]
p19142
sg8
(lp19143
(dp19144
g11
(lp19145
sg13
V3
p19146
sg15
I4
sass(g1696
g19094
g19118
I4
tp19147
(dp19148
g6
VDamerauLevenshteinDistance["time", "Thyme"]
p19149
sg8
(lp19150
(dp19151
g11
(lp19152
sg13
V3
p19153
sg15
I5
sass(g1696
g19094
g19118
I5
tp19154
(dp19155
g6
VDamerauLevenshteinDistance["time", "Thyme", IgnoreCase -> True]
p19156
sg8
(lp19157
(dp19158
g11
(lp19159
sg13
V2
p19160
sg15
I6
sass(g1696
g19094
g19118
I6
tp19161
(dp19162
g6
VDamerauLevenshteinDistance[{1, E, 2, Pi}, {1, E, Pi, 2}]
p19163
sg8
(lp19164
(dp19165
g11
(lp19166
sg13
V1
p19167
sg15
I7
sass(g1696
g19094
VDigitCharacter
p19168
I0
tp19169
(dp19170
g6
VStringMatchQ["1", DigitCharacter]
p19171
sg8
(lp19172
(dp19173
g11
(lp19174
sg13
V\u005ctext{True}
p19175
sg15
I1
sass(g1696
g19094
g19168
I1
tp19176
(dp19177
g6
VStringMatchQ["a", DigitCharacter]
p19178
sg8
(lp19179
(dp19180
g11
(lp19181
sg13
V\u005ctext{False}
p19182
sg15
I2
sass(g1696
g19094
g19168
I2
tp19183
(dp19184
g6
VStringMatchQ["12", DigitCharacter]
p19185
sg8
(lp19186
(dp19187
g11
(lp19188
sg13
V\u005ctext{False}
p19189
sg15
I3
sass(g1696
g19094
g19168
I3
tp19190
(dp19191
g6
VStringMatchQ["123245", DigitCharacter..]
p19192
sg8
(lp19193
(dp19194
g11
(lp19195
sg13
V\u005ctext{True}
p19196
sg15
I4
sass(g1696
g19094
VDigitQ
p19197
I0
tp19198
(dp19199
g6
VDigitQ["9"]
p19200
sg8
(lp19201
(dp19202
g11
(lp19203
sg13
V\u005ctext{True}
p19204
sg15
I1
sass(g1696
g19094
g19197
I1
tp19205
(dp19206
g6
VDigitQ["a"]
p19207
sg8
(lp19208
(dp19209
g11
(lp19210
sg13
V\u005ctext{False}
p19211
sg15
I2
sass(g1696
g19094
g19197
I2
tp19212
(dp19213
g6
VDigitQ["01001101011000010111010001101000011010010110001101110011"]
p19214
sg8
(lp19215
(dp19216
g11
(lp19217
sg13
V\u005ctext{True}
p19218
sg15
I3
sass(g1696
g19094
g19197
I3
tp19219
(dp19220
g6
VDigitQ["-123456789"]
p19221
sg8
(lp19222
(dp19223
g11
(lp19224
sg13
V\u005ctext{False}
p19225
sg15
I4
sass(g1696
g19094
VEditDistance
p19226
I0
tp19227
(dp19228
g6
VEditDistance["kitten", "kitchen"]
p19229
sg8
(lp19230
(dp19231
g11
(lp19232
sg13
V2
p19233
sg15
I1
sass(g1696
g19094
g19226
I1
tp19234
(dp19235
g6
VEditDistance["abc", "ac"]
p19236
sg8
(lp19237
(dp19238
g11
(lp19239
sg13
V1
p19240
sg15
I2
sass(g1696
g19094
g19226
I2
tp19241
(dp19242
g6
VEditDistance["abc", "acb"]
p19243
sg8
(lp19244
(dp19245
g11
(lp19246
sg13
V2
p19247
sg15
I3
sass(g1696
g19094
g19226
I3
tp19248
(dp19249
g6
VEditDistance["azbc", "abxyc"]
p19250
sg8
(lp19251
(dp19252
g11
(lp19253
sg13
V3
p19254
sg15
I4
sass(g1696
g19094
g19226
I4
tp19255
(dp19256
g6
VEditDistance["time", "Thyme"]
p19257
sg8
(lp19258
(dp19259
g11
(lp19260
sg13
V3
p19261
sg15
I5
sass(g1696
g19094
g19226
I5
tp19262
(dp19263
g6
VEditDistance["time", "Thyme", IgnoreCase -> True]
p19264
sg8
(lp19265
(dp19266
g11
(lp19267
sg13
V2
p19268
sg15
I6
sass(g1696
g19094
g19226
I6
tp19269
(dp19270
g6
VEditDistance[{1, E, 2, Pi}, {1, E, Pi, 2}]
p19271
sg8
(lp19272
(dp19273
g11
(lp19274
sg13
V2
p19275
sg15
I7
sass(g1696
g19094
VEndOfLine
p19276
I0
tp19277
(dp19278
g6
VStringReplace["aba\u005cnbba\u005cna\u005cnab", "a" ~~ EndOfLine -> "c"]
p19279
sg8
(lp19280
(dp19281
g11
(lp19282
sg13
V\u005ctext{abc\u005cnewline\u000abbc\u005cnewline\u000ac\u005cnewline\u000aab}
p19283
sg15
I1
sass(g1696
g19094
g19276
I1
tp19284
(dp19285
g6
VStringSplit["abc\u005cndef\u005cnhij", EndOfLine]
p19286
sg8
(lp19287
(dp19288
g11
(lp19289
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{\u005cnewline\u000adef},\u005ctext{\u005cnewline\u000ahij}\u005cright\u005c}
p19290
sg15
I2
sass(g1696
g19094
VEndOfString
p19291
I0
tp19292
(dp19293
g6
VStringMatchQ[#, __ ~~ "e" ~~ EndOfString] &/@ {"apple", "banana", "artichoke"}
p19294
sg8
(lp19295
(dp19296
g11
(lp19297
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p19298
sg15
I1
sass(g1696
g19094
g19291
I1
tp19299
(dp19300
g6
VStringReplace["aab\u005cnabb", "b" ~~ EndOfString -> "c"]
p19301
sg8
(lp19302
(dp19303
g11
(lp19304
sg13
V\u005ctext{aab\u005cnewline\u000aabc}
p19305
sg15
I2
sass(g1696
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VFromCharacterCode
p19306
I0
tp19307
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g6
VFromCharacterCode[100]
p19309
sg8
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g11
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sg13
V\u005ctext{d}
p19313
sg15
I1
sass(g1696
g19094
g19306
I1
tp19314
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g6
VFromCharacterCode[228, "ISO8859-1"]
p19316
sg8
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g11
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sg13
V\u005ctext{}
p19320
sg15
I2
sass(g1696
g19094
g19306
I2
tp19321
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VFromCharacterCode[{100, 101, 102}]
p19323
sg8
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g11
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sg13
V\u005ctext{def}
p19327
sg15
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sass(g1696
g19094
g19306
I3
tp19328
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VToCharacterCode[%]
p19330
sg8
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sg13
V\u005cleft\u005c{100,101,102\u005cright\u005c}
p19334
sg15
I4
sass(g1696
g19094
g19306
I4
tp19335
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g6
VFromCharacterCode[{{97, 98, 99}, {100, 101, 102}}]
p19337
sg8
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g11
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sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{def}\u005cright\u005c}
p19341
sg15
I5
sass(g1696
g19094
g19306
I5
tp19342
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g6
VToCharacterCode["abc 123"] // FromCharacterCode
p19344
sg8
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g11
(lp19347
sg13
V\u005ctext{abc 123}
p19348
sg15
I6
sass(g1696
g19094
VHammingDistance
p19349
I0
tp19350
(dp19351
g6
VHammingDistance[{1, 0, 1, 0}, {1, 0, 0, 1}]
p19352
sg8
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g11
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sg13
V2
p19356
sg15
I1
sass(g1696
g19094
g19349
I1
tp19357
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g6
VHammingDistance["time", "dime"]
p19359
sg8
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g11
(lp19362
sg13
V1
p19363
sg15
I2
sass(g1696
g19094
g19349
I2
tp19364
(dp19365
g6
VHammingDistance["TIME", "dime", IgnoreCase -> True]
p19366
sg8
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g11
(lp19369
sg13
V1
p19370
sg15
I3
sass(g1696
g19094
VHexidecimalCharacter
p19371
I0
tp19372
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g6
VStringMatchQ[#, HexidecimalCharacter] & /@ {"a", "1", "A", "x", "H", " ", "."}
p19374
sg8
(lp19375
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g11
(lp19377
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p19378
sg15
I1
sass(g1696
g19094
VLetterCharacter
p19379
I0
tp19380
(dp19381
g6
VStringMatchQ[#, LetterCharacter] & /@ {"a", "1", "A", " ", "."}
p19382
sg8
(lp19383
(dp19384
g11
(lp19385
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p19386
sg15
I1
sass(g1696
g19094
g19379
I1
tp19387
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g6
VStringMatchQ["\u005c[Lambda]", LetterCharacter]
p19389
sg8
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g11
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sg13
V\u005ctext{True}
p19393
sg15
I2
sass(g1696
g19094
VLetterQ
p19394
I0
tp19395
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g6
VLetterQ["m"]
p19397
sg8
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g11
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sg13
V\u005ctext{True}
p19401
sg15
I1
sass(g1696
g19094
g19394
I1
tp19402
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g6
VLetterQ["9"]
p19404
sg8
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g11
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sg13
V\u005ctext{False}
p19408
sg15
I2
sass(g1696
g19094
g19394
I2
tp19409
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g6
VLetterQ["Mathics"]
p19411
sg8
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g11
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sg13
V\u005ctext{True}
p19415
sg15
I3
sass(g1696
g19094
g19394
I3
tp19416
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g6
VLetterQ["Welcome to Mathics"]
p19418
sg8
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g11
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sg13
V\u005ctext{False}
p19422
sg15
I4
sass(g1696
g19094
VLowerCaseQ
p19423
I0
tp19424
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g6
VLowerCaseQ["abc"]
p19426
sg8
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g11
(lp19429
sg13
V\u005ctext{True}
p19430
sg15
I1
sass(g1696
g19094
g19423
I1
tp19431
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g6
VLowerCaseQ[""]
p19433
sg8
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(dp19435
g11
(lp19436
sg13
V\u005ctext{True}
p19437
sg15
I2
sass(g1696
g19094
VNumberString
p19438
I0
tp19439
(dp19440
g6
VStringMatchQ["1234", NumberString]
p19441
sg8
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g11
(lp19444
sg13
V\u005ctext{True}
p19445
sg15
I1
sass(g1696
g19094
g19438
I1
tp19446
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g6
VStringMatchQ["1234.5", NumberString]
p19448
sg8
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g11
(lp19451
sg13
V\u005ctext{True}
p19452
sg15
I2
sass(g1696
g19094
g19438
I2
tp19453
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g6
VStringMatchQ["1.2`20", NumberString]
p19455
sg8
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(dp19457
g11
(lp19458
sg13
V\u005ctext{False}
p19459
sg15
I3
sass(g1696
g19094
VRegularExpression
p19460
I0
tp19461
(dp19462
g6
VStringSplit["1.23, 4.56  7.89", RegularExpression["(\u005c\u005cs|,)+"]]
p19463
sg8
(lp19464
(dp19465
g11
(lp19466
sg13
V\u005cleft\u005c{\u005ctext{1.23},\u005ctext{4.56},\u005ctext{7.89}\u005cright\u005c}
p19467
sg15
I1
sass(g1696
g19094
VRemoveDiacritics
p19468
I0
tp19469
(dp19470
g6
VRemoveDiacritics["en prononant pcher et pcher"]
p19471
sg8
(lp19472
(dp19473
g11
(lp19474
sg13
V\u005ctext{en prononcant pecher et pecher}
p19475
sg15
I1
sass(g1696
g19094
g19468
I1
tp19476
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g6
VRemoveDiacritics["piata"]
p19478
sg8
(lp19479
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g11
(lp19481
sg13
V\u005ctext{pinata}
p19482
sg15
I2
sass(g1696
g19094
VStartOfLine
p19483
I0
tp19484
(dp19485
g6
VStringReplace["aba\u005cnbba\u005cna\u005cnab", StartOfLine ~~ "a" -> "c"]
p19486
sg8
(lp19487
(dp19488
g11
(lp19489
sg13
V\u005ctext{cba\u005cnewline\u000abba\u005cnewline\u000ac\u005cnewline\u000acb}
p19490
sg15
I1
sass(g1696
g19094
g19483
I1
tp19491
(dp19492
g6
VStringSplit["abc\u005cndef\u005cnhij", StartOfLine]
p19493
sg8
(lp19494
(dp19495
g11
(lp19496
sg13
V\u005cleft\u005c{\u005ctext{abc\u005cnewline\u000a},\u005ctext{def\u005cnewline\u000a},\u005ctext{hij}\u005cright\u005c}
p19497
sg15
I2
sass(g1696
g19094
VStartOfString
p19498
I0
tp19499
(dp19500
g6
VStringMatchQ[#, StartOfString ~~ "a" ~~ __] &/@ {"apple", "banana", "artichoke"}
p19501
sg8
(lp19502
(dp19503
g11
(lp19504
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p19505
sg15
I1
sass(g1696
g19094
g19498
I1
tp19506
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g6
VStringReplace["aba\u005cnabb", StartOfString ~~ "a" -> "c"]
p19508
sg8
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g11
(lp19511
sg13
V\u005ctext{cba\u005cnewline\u000aabb}
p19512
sg15
I2
sass(g1696
g19094
VStringCases
p19513
I0
tp19514
(dp19515
g6
VStringCases["axbaxxb", "a" ~~ x_ ~~ "b"]
p19516
sg8
(lp19517
(dp19518
g11
(lp19519
sg13
V\u005cleft\u005c{\u005ctext{axb}\u005cright\u005c}
p19520
sg15
I1
sass(g1696
g19094
g19513
I1
tp19521
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g6
VStringCases["axbaxxb", "a" ~~ x__ ~~ "b"]
p19523
sg8
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g11
(lp19526
sg13
V\u005cleft\u005c{\u005ctext{axbaxxb}\u005cright\u005c}
p19527
sg15
I2
sass(g1696
g19094
g19513
I2
tp19528
(dp19529
g6
VStringCases["axbaxxb", Shortest["a" ~~ x__ ~~ "b"]]
p19530
sg8
(lp19531
(dp19532
g11
(lp19533
sg13
V\u005cleft\u005c{\u005ctext{axb},\u005ctext{axxb}\u005cright\u005c}
p19534
sg15
I3
sass(g1696
g19094
g19513
I3
tp19535
(dp19536
g6
VStringCases["-abc- def -uvw- xyz", Shortest["-" ~~ x__ ~~ "-"] -> x]
p19537
sg8
(lp19538
(dp19539
g11
(lp19540
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{uvw}\u005cright\u005c}
p19541
sg15
I4
sass(g1696
g19094
g19513
I4
tp19542
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g6
VStringCases["-hi- -abc- -.-", "-" ~~ x : WordCharacter .. ~~ "-" -> x]
p19544
sg8
(lp19545
(dp19546
g11
(lp19547
sg13
V\u005cleft\u005c{\u005ctext{hi},\u005ctext{abc}\u005cright\u005c}
p19548
sg15
I5
sass(g1696
g19094
g19513
I5
tp19549
(dp19550
g6
VStringCases["abc-abc xyz-uvw", Shortest[x : WordCharacter .. ~~ "-" ~~ x_] -> x]
p19551
sg8
(lp19552
(dp19553
g11
(lp19554
sg13
V\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}
p19555
sg15
I6
sass(g1696
g19094
g19513
I7
tp19556
(dp19557
g6
VStringCases["abba", {"a" -> 10, "b" -> 20}, 2]
p19558
sg8
(lp19559
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g11
(lp19561
sg13
V\u005cleft\u005c{10,20\u005cright\u005c}
p19562
sg15
I7
sass(g1696
g19094
g19513
I8
tp19563
(dp19564
g6
VStringCases["a#_123", WordCharacter]
p19565
sg8
(lp19566
(dp19567
g11
(lp19568
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{},\u005ctext{1},\u005ctext{2},\u005ctext{3}\u005cright\u005c}
p19569
sg15
I8
sass(g1696
g19094
g19513
I9
tp19570
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g6
VStringCases["a#_123", LetterCharacter]
p19572
sg8
(lp19573
(dp19574
g11
(lp19575
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{}\u005cright\u005c}
p19576
sg15
I9
sass(g1696
g19094
VStringContainsQ
p19577
I0
tp19578
(dp19579
g6
VStringContainsQ["mathics", "m" ~~ __ ~~ "s"]
p19580
sg8
(lp19581
(dp19582
g11
(lp19583
sg13
V\u005ctext{True}
p19584
sg15
I1
sass(g1696
g19094
g19577
I1
tp19585
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g6
VStringContainsQ["mathics", "a" ~~ __ ~~ "m"]
p19587
sg8
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(dp19589
g11
(lp19590
sg13
V\u005ctext{False}
p19591
sg15
I2
sass(g1696
g19094
g19577
I5
tp19592
(dp19593
g6
VStringContainsQ["Mathics", "MA" , IgnoreCase -> True]
p19594
sg8
(lp19595
(dp19596
g11
(lp19597
sg13
V\u005ctext{True}
p19598
sg15
I3
sass(g1696
g19094
g19577
I11
tp19599
(dp19600
g6
VStringContainsQ[{"g", "a", "laxy", "universe", "sun"}, "u"]
p19601
sg8
(lp19602
(dp19603
g11
(lp19604
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{True}\u005cright\u005c}
p19605
sg15
I4
sass(g1696
g19094
g19577
I13
tp19606
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g6
VStringContainsQ["e" ~~ ___ ~~ "u"] /@ {"The Sun", "Mercury", "Venus", "Earth", "Mars", "Jupiter", "Saturn", "Uranus", "Neptune"}
p19608
sg8
(lp19609
(dp19610
g11
(lp19611
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p19612
sg15
I5
sass(g1696
g19094
VStringDrop
p19613
I0
tp19614
(dp19615
g6
VStringDrop["abcde", 2]
p19616
sg8
(lp19617
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g11
(lp19619
sg13
V\u005ctext{cde}
p19620
sg15
I1
sass(g1696
g19094
g19613
I1
tp19621
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g6
VStringDrop["abcde", -2]
p19623
sg8
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g11
(lp19626
sg13
V\u005ctext{abc}
p19627
sg15
I2
sass(g1696
g19094
g19613
I2
tp19628
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g6
VStringDrop["abcde", {2}]
p19630
sg8
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g11
(lp19633
sg13
V\u005ctext{acde}
p19634
sg15
I3
sass(g1696
g19094
g19613
I3
tp19635
(dp19636
g6
VStringDrop["abcde", {2,3}]
p19637
sg8
(lp19638
(dp19639
g11
(lp19640
sg13
V\u005ctext{ade}
p19641
sg15
I4
sass(g1696
g19094
g19613
I4
tp19642
(dp19643
g6
VStringDrop["abcd",{3,2}]
p19644
sg8
(lp19645
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g11
(lp19647
sg13
V\u005ctext{abcd}
p19648
sg15
I5
sass(g1696
g19094
g19613
I5
tp19649
(dp19650
g6
VStringDrop["abcd",0]
p19651
sg8
(lp19652
(dp19653
g11
(lp19654
sg13
V\u005ctext{abcd}
p19655
sg15
I6
sass(g1696
g19094
VStringExpression
p19656
I0
tp19657
(dp19658
g6
V"a" ~~ "b" // FullForm
p19659
sg8
(lp19660
(dp19661
g11
(lp19662
sg13
V\u005ctext{"ab"}
p19663
sg15
I1
sass(g1696
g19094
VStringFreeQ
p19664
I0
tp19665
(dp19666
g6
VStringFreeQ["mathics", "m" ~~ __ ~~ "s"]
p19667
sg8
(lp19668
(dp19669
g11
(lp19670
sg13
V\u005ctext{False}
p19671
sg15
I1
sass(g1696
g19094
g19664
I1
tp19672
(dp19673
g6
VStringFreeQ["mathics", "a" ~~ __ ~~ "m"]
p19674
sg8
(lp19675
(dp19676
g11
(lp19677
sg13
V\u005ctext{True}
p19678
sg15
I2
sass(g1696
g19094
g19664
I5
tp19679
(dp19680
g6
VStringFreeQ["Mathics", "MA" , IgnoreCase -> True]
p19681
sg8
(lp19682
(dp19683
g11
(lp19684
sg13
V\u005ctext{False}
p19685
sg15
I3
sass(g1696
g19094
g19664
I11
tp19686
(dp19687
g6
VStringFreeQ[{"g", "a", "laxy", "universe", "sun"}, "u"]
p19688
sg8
(lp19689
(dp19690
g11
(lp19691
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p19692
sg15
I4
sass(g1696
g19094
g19664
I13
tp19693
(dp19694
g6
VStringFreeQ["e" ~~ ___ ~~ "u"] /@ {"The Sun", "Mercury", "Venus", "Earth", "Mars", "Jupiter", "Saturn", "Uranus", "Neptune"}
p19695
sg8
(lp19696
(dp19697
g11
(lp19698
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False}\u005cright\u005c}
p19699
sg15
I5
sass(g1696
g19094
g19664
I15
tp19700
(dp19701
g6
VStringFreeQ[{"A", "Galaxy", "Far", "Far", "Away"}, {"F" ~~ __ ~~ "r", "aw" ~~ ___}, IgnoreCase -> True]
p19702
sg8
(lp19703
(dp19704
g11
(lp19705
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p19706
sg15
I6
sass(g1696
g19094
VStringInsert
p19707
I0
tp19708
(dp19709
g6
VStringInsert["noting", "h", 4]
p19710
sg8
(lp19711
(dp19712
g11
(lp19713
sg13
V\u005ctext{nothing}
p19714
sg15
I1
sass(g1696
g19094
g19707
I6
tp19715
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g6
VStringInsert["note", "d", -1]
p19717
sg8
(lp19718
(dp19719
g11
(lp19720
sg13
V\u005ctext{noted}
p19721
sg15
I2
sass(g1696
g19094
g19707
I7
tp19722
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g6
VStringInsert["here", "t", -5]
p19724
sg8
(lp19725
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g11
(lp19727
sg13
V\u005ctext{there}
p19728
sg15
I3
sass(g1696
g19094
g19707
I9
tp19729
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g6
VStringInsert["adac", "he", {1, 5}]
p19731
sg8
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g11
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sg13
V\u005ctext{headache}
p19735
sg15
I4
sass(g1696
g19094
g19707
I18
tp19736
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g6
VStringInsert[{"something", "sometimes"}, " ", 5]
p19738
sg8
(lp19739
(dp19740
g11
(lp19741
sg13
V\u005cleft\u005c{\u005ctext{some thing},\u005ctext{some times}\u005cright\u005c}
p19742
sg15
I5
sass(g1696
g19094
g19707
I24
tp19743
(dp19744
g6
VStringInsert["1234567890123456", ".", Range[-16, -4, 3]]
p19745
sg8
(lp19746
(dp19747
g11
(lp19748
sg13
V\u005ctext{1.234.567.890.123.456}
p19749
sg15
I6
sass(g1696
g19094
VStringJoin
p19750
I0
tp19751
(dp19752
g6
VStringJoin["a", "b", "c"]
p19753
sg8
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g11
(lp19756
sg13
V\u005ctext{abc}
p19757
sg15
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sass(g1696
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tp19758
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V"a" <> "b" <> "c" // InputForm
p19760
sg8
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g11
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sg13
V\u005ctext{"abc"}
p19764
sg15
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sass(g1696
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g19750
I2
tp19765
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g6
VStringJoin[{"a", "b"}] // InputForm
p19767
sg8
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g11
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sg13
V\u005ctext{"ab"}
p19771
sg15
I3
sass(g1696
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g19750
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tp19772
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g6
VPrint[StringJoin[{"Hello", " ", {"world"}}, "!"]]
p19774
sg8
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g11
(lp19777
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g149
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sg156
VHello world!
p19779
sasg13
Nsg15
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sass(g1696
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VStringLength
p19780
I0
tp19781
(dp19782
g6
VStringLength["abc"]
p19783
sg8
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g11
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sg13
V3
p19787
sg15
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sass(g1696
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g19780
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tp19788
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VStringLength[{"a", "bc"}]
p19790
sg8
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V\u005cleft\u005c{1,2\u005cright\u005c}
p19794
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g149
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sg150
VStringLength
p19802
sg152
g384
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VStringLength::string
p19803
sg156
g386
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V\u005ctext{StringLength}\u005cleft[x\u005cright]
p19804
sg15
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sass(g1696
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VStringMatchQ
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I0
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VStringMatchQ["abc", "abc"]
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sg8
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V\u005ctext{True}
p19812
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VStringMatchQ["abc", "abd"]
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sg8
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sg13
V\u005ctext{False}
p19819
sg15
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sass(g1696
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tp19820
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g6
VStringMatchQ["15a94xcZ6", (DigitCharacter | LetterCharacter)..]
p19822
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V\u005ctext{True}
p19826
sg15
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sass(g1696
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tp19827
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VStringMatchQ[LetterCharacter]["a"]
p19829
sg8
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g11
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V\u005ctext{True}
p19833
sg15
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sass(g1696
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VStringPosition
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I0
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VStringPosition["123ABCxyABCzzzABCABC", "ABC"]
p19837
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g11
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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}
p19841
sg15
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sass(g1696
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tp19842
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VStringPosition["123ABCxyABCzzzABCABC", "ABC", 2]
p19844
sg8
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sg13
V\u005cleft\u005c{\u005cleft\u005c{4,6\u005cright\u005c},\u005cleft\u005c{9,11\u005cright\u005c}\u005cright\u005c}
p19848
sg15
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sass(g1696
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tp19849
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Vdata = Import["ExampleData/EinsteinSzilLetter.txt"];
p19851
sg8
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g11
(lp19854
sg13
Nsg15
I3
sass(g1696
g19094
g19834
I3
tp19855
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VStringPosition[data, "uranium"]
p19857
sg8
(lp19858
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g11
(lp19860
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}
p19861
sg15
I4
sass(g1696
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VStringQ
p19862
I0
tp19863
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g6
VStringQ["abc"]
p19865
sg8
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g11
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sg13
V\u005ctext{True}
p19869
sg15
I1
sass(g1696
g19094
g19862
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tp19870
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VStringQ[1.5]
p19872
sg8
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g11
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sg13
V\u005ctext{False}
p19876
sg15
I2
sass(g1696
g19094
g19862
I2
tp19877
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VSelect[{"12", 1, 3, 5, "yz", x, y}, StringQ]
p19879
sg8
(lp19880
(dp19881
g11
(lp19882
sg13
V\u005cleft\u005c{\u005ctext{12},\u005ctext{yz}\u005cright\u005c}
p19883
sg15
I3
sass(g1696
g19094
VStringRepeat
p19884
I0
tp19885
(dp19886
g6
VStringRepeat["abc", 3]
p19887
sg8
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g11
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sg13
V\u005ctext{abcabcabc}
p19891
sg15
I1
sass(g1696
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g19884
I1
tp19892
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VStringRepeat["abc", 10, 7]
p19894
sg8
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g11
(lp19897
sg13
V\u005ctext{abcabca}
p19898
sg15
I2
sass(g1696
g19094
VStringReplace
p19899
I0
tp19900
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g6
VStringReplace["xyxyxyyyxxxyyxy", "xy" -> "A"]
p19902
sg8
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g11
(lp19905
sg13
V\u005ctext{AAAyyxxAyA}
p19906
sg15
I1
sass(g1696
g19094
g19899
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tp19907
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g6
VStringReplace["xyzwxyzwxxyzxyzw", {"xyz" -> "A", "w" -> "BCD"}]
p19909
sg8
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g11
(lp19912
sg13
V\u005ctext{ABCDABCDxAABCD}
p19913
sg15
I2
sass(g1696
g19094
g19899
I2
tp19914
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VStringReplace["xyxyxyyyxxxyyxy", "xy" -> "A", 2]
p19916
sg8
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g11
(lp19919
sg13
V\u005ctext{AAxyyyxxxyyxy}
p19920
sg15
I3
sass(g1696
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g19899
I3
tp19921
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VStringReplace["abba", {"a" -> "A", "b" -> "B"}, 2]
p19923
sg8
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g11
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sg13
V\u005ctext{ABba}
p19927
sg15
I4
sass(g1696
g19094
g19899
I4
tp19928
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VStringReplace[{"xyxyxxy", "yxyxyxxxyyxy"}, "xy" -> "A"]
p19930
sg8
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g11
(lp19933
sg13
V\u005cleft\u005c{\u005ctext{AAxA},\u005ctext{yAAxxAyA}\u005cright\u005c}
p19934
sg15
I5
sass(g1696
g19094
g19899
I20
tp19935
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g6
VStringReplace["y" -> "ies"]["city"]
p19937
sg8
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g11
(lp19940
sg13
V\u005ctext{cities}
p19941
sg15
I6
sass(g1696
g19094
VStringRiffle
p19942
I0
tp19943
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g6
VStringRiffle[{"a", "b", "c", "d", "e"}]
p19945
sg8
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g11
(lp19948
sg13
V\u005ctext{a b c d e}
p19949
sg15
I1
sass(g1696
g19094
g19942
I5
tp19950
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VStringRiffle[{"a", "b", "c", "d", "e"}, ", "]
p19952
sg8
(lp19953
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g11
(lp19955
sg13
V\u005ctext{a, b, c, d, e}
p19956
sg15
I2
sass(g1696
g19094
g19942
I7
tp19957
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g6
VStringRiffle[{"a", "b", "c", "d", "e"}, {"(", " ", ")"}]
p19959
sg8
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g11
(lp19962
sg13
V\u005ctext{(a b c d e)}
p19963
sg15
I3
sass(g1696
g19094
VStringSplit
p19964
I0
tp19965
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g6
VStringSplit["abc,123", ","]
p19967
sg8
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g11
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sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123}\u005cright\u005c}
p19971
sg15
I1
sass(g1696
g19094
g19964
I1
tp19972
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g6
VStringSplit["abc 123"]
p19974
sg8
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sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123}\u005cright\u005c}
p19978
sg15
I2
sass(g1696
g19094
g19964
I3
tp19979
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g6
VStringSplit["abc,123.456", {",", "."}]
p19981
sg8
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g11
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V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123},\u005ctext{456}\u005cright\u005c}
p19985
sg15
I3
sass(g1696
g19094
g19964
I4
tp19986
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g6
VStringSplit["a  b    c", RegularExpression[" +"]]
p19988
sg8
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g11
(lp19991
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p19992
sg15
I4
sass(g1696
g19094
VStringTake
p19993
I0
tp19994
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g6
VStringTake["abcde", 2]
p19996
sg8
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g11
(lp19999
sg13
V\u005ctext{ab}
p20000
sg15
I1
sass(g1696
g19094
g19993
I1
tp20001
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VStringTake["abcde", 0]
p20003
sg8
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sg13
V\u005ctext{}
p20007
sg15
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sass(g1696
g19094
g19993
I2
tp20008
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VStringTake["abcde", -2]
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sg8
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V\u005ctext{de}
p20014
sg15
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sass(g1696
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tp20015
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VStringTake["abcde", {2}]
p20017
sg8
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V\u005ctext{b}
p20021
sg15
I4
sass(g1696
g19094
g19993
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VStringTake["abcd", {2,3}]
p20024
sg8
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V\u005ctext{bc}
p20028
sg15
I5
sass(g1696
g19094
g19993
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tp20029
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VStringTake["abcdefgh", {1, 5, 2}]
p20031
sg8
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g11
(lp20034
sg13
V\u005ctext{ace}
p20035
sg15
I6
sass(g1696
g19094
g19993
I6
tp20036
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VStringTake["abcdef", All]
p20038
sg8
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g11
(lp20041
sg13
V\u005ctext{abcdef}
p20042
sg15
I7
sass(g1696
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VStringTrim
p20043
I0
tp20044
(dp20045
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VStringJoin["a", StringTrim["  \u005ctb\u005cn "], "c"]
p20046
sg8
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g11
(lp20049
sg13
V\u005ctext{abc}
p20050
sg15
I1
sass(g1696
g19094
g20043
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VStringTrim["ababaxababyaabab", RegularExpression["(ab)+"]]
p20053
sg8
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g11
(lp20056
sg13
V\u005ctext{axababya}
p20057
sg15
I2
sass(g1696
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VString
p20058
I0
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VHead["abc"]
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sg8
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(lp20064
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V\u005ctext{String}
p20065
sg15
I1
sass(g1696
g19094
g20058
I1
tp20066
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g6
V"abc"
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sg8
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(dp20070
g11
(lp20071
sg13
V\u005ctext{abc}
p20072
sg15
I2
sass(g1696
g19094
g20058
I2
tp20073
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VInputForm["abc"]
p20075
sg8
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(dp20077
g11
(lp20078
sg13
V\u005ctext{"abc"}
p20079
sg15
I3
sass(g1696
g19094
g20058
I3
tp20080
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g6
VFullForm["abc" + 2]
p20082
sg8
(lp20083
(dp20084
g11
(lp20085
sg13
V\u005ctext{Plus}\u005cleft[2, \u005ctext{"abc"}\u005cright]
p20086
sg15
I4
sass(g1696
g19094
VToCharacterCode
p20087
I0
tp20088
(dp20089
g6
VToCharacterCode["abc"]
p20090
sg8
(lp20091
(dp20092
g11
(lp20093
sg13
V\u005cleft\u005c{97,98,99\u005cright\u005c}
p20094
sg15
I1
sass(g1696
g19094
g20087
I1
tp20095
(dp20096
g6
VFromCharacterCode[%]
p20097
sg8
(lp20098
(dp20099
g11
(lp20100
sg13
V\u005ctext{abc}
p20101
sg15
I2
sass(g1696
g19094
g20087
I2
tp20102
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g6
VToCharacterCode["\u005c[Alpha]\u005c[Beta]\u005c[Gamma]"]
p20104
sg8
(lp20105
(dp20106
g11
(lp20107
sg13
V\u005cleft\u005c{945,946,947\u005cright\u005c}
p20108
sg15
I3
sass(g1696
g19094
g20087
I3
tp20109
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g6
VToCharacterCode["", "UTF8"]
p20111
sg8
(lp20112
(dp20113
g11
(lp20114
sg13
V\u005cleft\u005c{195,164\u005cright\u005c}
p20115
sg15
I4
sass(g1696
g19094
g20087
I4
tp20116
(dp20117
g6
VToCharacterCode["", "ISO8859-1"]
p20118
sg8
(lp20119
(dp20120
g11
(lp20121
sg13
V\u005cleft\u005c{228\u005cright\u005c}
p20122
sg15
I5
sass(g1696
g19094
g20087
I5
tp20123
(dp20124
g6
VToCharacterCode[{"ab", "c"}]
p20125
sg8
(lp20126
(dp20127
g11
(lp20128
sg13
V\u005cleft\u005c{\u005cleft\u005c{97,98\u005cright\u005c},\u005cleft\u005c{99\u005cright\u005c}\u005cright\u005c}
p20129
sg15
I6
sass(g1696
g19094
g20087
I8
tp20130
(dp20131
g6
VToCharacterCode[{"ab", x}]
p20132
sg8
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(dp20134
g11
(lp20135
(dp20136
g149
I01
sg150
VToCharacterCode
p20137
sg152
Vstrse
p20138
sg154
VToCharacterCode::strse
p20139
sg156
VString or list of strings expected at position 1 in ToCharacterCode[{ab, x}].
p20140
sasg13
V\u005ctext{ToCharacterCode}\u005cleft[\u005cleft\u005c{\u005ctext{ab},x\u005cright\u005c}\u005cright]
p20141
sg15
I7
sass(g1696
g19094
g20087
I9
tp20142
(dp20143
g6
VListPlot[ToCharacterCode["plot this string"], Filling -> Axis]
p20144
sg8
(lp20145
(dp20146
g11
(lp20147
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
p20148
sg15
I8
sass(g1696
g19094
VToExpression
p20149
I0
tp20150
(dp20151
g6
VToExpression["1 + 2"]
p20152
sg8
(lp20153
(dp20154
g11
(lp20155
sg13
V3
p20156
sg15
I1
sass(g1696
g19094
g20149
I1
tp20157
(dp20158
g6
VToExpression["{2, 3, 1}", InputForm, Max]
p20159
sg8
(lp20160
(dp20161
g11
(lp20162
sg13
V3
p20163
sg15
I2
sass(g1696
g19094
VToLowerCase
p20164
I0
tp20165
(dp20166
g6
VToLowerCase["New York"]
p20167
sg8
(lp20168
(dp20169
g11
(lp20170
sg13
V\u005ctext{new york}
p20171
sg15
I1
sass(g1696
g19094
VToString
p20172
I0
tp20173
(dp20174
g6
VToString[2]
p20175
sg8
(lp20176
(dp20177
g11
(lp20178
sg13
V\u005ctext{2}
p20179
sg15
I1
sass(g1696
g19094
g20172
I1
tp20180
(dp20181
g6
VToString[2] // InputForm
p20182
sg8
(lp20183
(dp20184
g11
(lp20185
sg13
V\u005ctext{"2"}
p20186
sg15
I2
sass(g1696
g19094
g20172
I2
tp20187
(dp20188
g6
VToString[a+b]
p20189
sg8
(lp20190
(dp20191
g11
(lp20192
sg13
V\u005ctext{a + b}
p20193
sg15
I3
sass(g1696
g19094
g20172
I3
tp20194
(dp20195
g6
V"U" <> 2
p20196
sg8
(lp20197
(dp20198
g11
(lp20199
(dp20200
g149
I01
sg150
VStringJoin
p20201
sg152
g384
sg154
VStringJoin::string
p20202
sg156
g386
sasg13
V\u005ctext{U}\u005ctext{<>}2
p20203
sg15
I4
sass(g1696
g19094
g20172
I4
tp20204
(dp20205
g6
V"U" <> ToString[2]
p20206
sg8
(lp20207
(dp20208
g11
(lp20209
sg13
V\u005ctext{U2}
p20210
sg15
I5
sass(g1696
g19094
VToUpperCase
p20211
I0
tp20212
(dp20213
g6
VToUpperCase["New York"]
p20214
sg8
(lp20215
(dp20216
g11
(lp20217
sg13
V\u005ctext{NEW YORK}
p20218
sg15
I1
sass(g1696
g19094
VUpperCaseQ
p20219
I0
tp20220
(dp20221
g6
VUpperCaseQ["ABC"]
p20222
sg8
(lp20223
(dp20224
g11
(lp20225
sg13
V\u005ctext{True}
p20226
sg15
I1
sass(g1696
g19094
g20219
I1
tp20227
(dp20228
g6
VUpperCaseQ[""]
p20229
sg8
(lp20230
(dp20231
g11
(lp20232
sg13
V\u005ctext{True}
p20233
sg15
I2
sass(g1696
g19094
VWhitespace
p20234
I0
tp20235
(dp20236
g6
VStringMatchQ["\u005cr \u005cn", Whitespace]
p20237
sg8
(lp20238
(dp20239
g11
(lp20240
sg13
V\u005ctext{True}
p20241
sg15
I1
sass(g1696
g19094
g20234
I1
tp20242
(dp20243
g6
VStringSplit["a  \u005cn b \u005cr\u005cn c d", Whitespace]
p20244
sg8
(lp20245
(dp20246
g11
(lp20247
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d}\u005cright\u005c}
p20248
sg15
I2
sass(g1696
g19094
g20234
I2
tp20249
(dp20250
g6
VStringReplace[" this has leading and trailing whitespace \u005cn ", (StartOfString ~~ Whitespace) | (Whitespace ~~ EndOfString) -> ""] <> " removed" // FullForm
p20251
sg8
(lp20252
(dp20253
g11
(lp20254
sg13
V\u005ctext{"this has leading and trailing whitespace removed"}
p20255
sg15
I3
sass(g1696
g19094
VWhitespaceCharacter
p20256
I0
tp20257
(dp20258
g6
VStringMatchQ["\u005cn", WhitespaceCharacter]
p20259
sg8
(lp20260
(dp20261
g11
(lp20262
sg13
V\u005ctext{True}
p20263
sg15
I1
sass(g1696
g19094
g20256
I1
tp20264
(dp20265
g6
VStringSplit["a\u005cnb\u005cr\u005cnc\u005crd", WhitespaceCharacter]
p20266
sg8
(lp20267
(dp20268
g11
(lp20269
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d}\u005cright\u005c}
p20270
sg15
I2
sass(g1696
g19094
g20256
I2
tp20271
(dp20272
g6
VStringMatchQ[" \u005cn", WhitespaceCharacter]
p20273
sg8
(lp20274
(dp20275
g11
(lp20276
sg13
V\u005ctext{False}
p20277
sg15
I3
sass(g1696
g19094
g20256
I3
tp20278
(dp20279
g6
VStringMatchQ[" \u005cn", Whitespace]
p20280
sg8
(lp20281
(dp20282
g11
(lp20283
sg13
V\u005ctext{True}
p20284
sg15
I4
sass(g1696
g19094
VWordBoundary
p20285
I0
tp20286
(dp20287
g6
VStringReplace["apple banana orange artichoke", "e" ~~ WordBoundary -> "E"]
p20288
sg8
(lp20289
(dp20290
g11
(lp20291
sg13
V\u005ctext{applE banana orangE artichokE}
p20292
sg15
I1
sass(g1696
g19094
VWordCharacter
p20293
I0
tp20294
(dp20295
g6
VStringMatchQ[#, WordCharacter] &/@ {"1", "a", "A", ",", " "}
p20296
sg8
(lp20297
(dp20298
g11
(lp20299
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p20300
sg15
I1
sass(g1696
g19094
g20293
I1
tp20301
(dp20302
g6
VStringMatchQ["abc123DEF", WordCharacter..]
p20303
sg8
(lp20304
(dp20305
g11
(lp20306
sg13
V\u005ctext{True}
p20307
sg15
I2
sass(g1696
g19094
g20293
I2
tp20308
(dp20309
g6
VStringMatchQ["$b;123", WordCharacter..]
p20310
sg8
(lp20311
(dp20312
g11
(lp20313
sg13
V\u005ctext{False}
p20314
sg15
I3
sass(g1696
VStructure
p20315
VApply
p20316
I0
tp20317
(dp20318
g6
Vf @@ {1, 2, 3}
p20319
sg8
(lp20320
(dp20321
g11
(lp20322
sg13
Vf\u005cleft[1,2,3\u005cright]
p20323
sg15
I1
sass(g1696
g20315
g20316
I1
tp20324
(dp20325
g6
VPlus @@ {1, 2, 3}
p20326
sg8
(lp20327
(dp20328
g11
(lp20329
sg13
V6
p20330
sg15
I2
sass(g1696
g20315
g20316
I2
tp20331
(dp20332
g6
Vf @@ (a + b + c)
p20333
sg8
(lp20334
(dp20335
g11
(lp20336
sg13
Vf\u005cleft[a,b,c\u005cright]
p20337
sg15
I3
sass(g1696
g20315
g20316
I3
tp20338
(dp20339
g6
VApply[f, {a + b, g[c, d, e * f], 3}, {1}]
p20340
sg8
(lp20341
(dp20342
g11
(lp20343
sg13
V\u005cleft\u005c{f\u005cleft[a,b\u005cright],f\u005cleft[c,d,e f\u005cright],3\u005cright\u005c}
p20344
sg15
I4
sass(g1696
g20315
g20316
I4
tp20345
(dp20346
g6
VApply[f, {a, b, c}, {0}]
p20347
sg8
(lp20348
(dp20349
g11
(lp20350
sg13
Vf\u005cleft[a,b,c\u005cright]
p20351
sg15
I5
sass(g1696
g20315
g20316
I5
tp20352
(dp20353
g6
VApply[f, {{{{{a}}}}}, {2, -3}]
p20354
sg8
(lp20355
(dp20356
g11
(lp20357
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[f\u005cleft[\u005cleft\u005c{a\u005cright\u005c}\u005cright]\u005cright]\u005cright\u005c}\u005cright\u005c}
p20358
sg15
I6
sass(g1696
g20315
g20316
I6
tp20359
(dp20360
g6
VApply[List, a + b * c ^ e * f[g], {0, Infinity}]
p20361
sg8
(lp20362
(dp20363
g11
(lp20364
sg13
V\u005cleft\u005c{a,\u005cleft\u005c{b,\u005cleft\u005c{g\u005cright\u005c},\u005cleft\u005c{c,e\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p20365
sg15
I7
sass(g1696
g20315
VApplyLevel
p20366
I0
tp20367
(dp20368
g6
Vf @@@ {{a, b}, {c, d}}
p20369
sg8
(lp20370
(dp20371
g11
(lp20372
sg13
V\u005cleft\u005c{f\u005cleft[a,b\u005cright],f\u005cleft[c,d\u005cright]\u005cright\u005c}
p20373
sg15
I1
sass(g1696
g20315
VAtomQ
p20374
I0
tp20375
(dp20376
g6
VAtomQ[x]
p20377
sg8
(lp20378
(dp20379
g11
(lp20380
sg13
V\u005ctext{True}
p20381
sg15
I1
sass(g1696
g20315
g20374
I1
tp20382
(dp20383
g6
VAtomQ[1.2]
p20384
sg8
(lp20385
(dp20386
g11
(lp20387
sg13
V\u005ctext{True}
p20388
sg15
I2
sass(g1696
g20315
g20374
I2
tp20389
(dp20390
g6
VAtomQ[2 + I]
p20391
sg8
(lp20392
(dp20393
g11
(lp20394
sg13
V\u005ctext{True}
p20395
sg15
I3
sass(g1696
g20315
g20374
I3
tp20396
(dp20397
g6
VAtomQ[2 / 3]
p20398
sg8
(lp20399
(dp20400
g11
(lp20401
sg13
V\u005ctext{True}
p20402
sg15
I4
sass(g1696
g20315
g20374
I4
tp20403
(dp20404
g6
VAtomQ[x + y]
p20405
sg8
(lp20406
(dp20407
g11
(lp20408
sg13
V\u005ctext{False}
p20409
sg15
I5
sass(g1696
g20315
VCombinatoricaOld`BinarySearch
p20410
I0
tp20411
(dp20412
g6
VCombinatoricaOld`BinarySearch[{3, 4, 10, 100, 123}, 100]
p20413
sg8
(lp20414
(dp20415
g11
(lp20416
sg13
V4
p20417
sg15
I1
sass(g1696
g20315
g20410
I1
tp20418
(dp20419
g6
VCombinatoricaOld`BinarySearch[{2, 3, 9}, 7] // N
p20420
sg8
(lp20421
(dp20422
g11
(lp20423
sg13
V2.5
p20424
sg15
I2
sass(g1696
g20315
g20410
I2
tp20425
(dp20426
g6
VCombinatoricaOld`BinarySearch[{2, 7, 9, 10}, 3] // N
p20427
sg8
(lp20428
(dp20429
g11
(lp20430
sg13
V1.5
p20431
sg15
I3
sass(g1696
g20315
g20410
I3
tp20432
(dp20433
g6
VCombinatoricaOld`BinarySearch[{-10, 5, 8, 10}, -100] // N
p20434
sg8
(lp20435
(dp20436
g11
(lp20437
sg13
V0.5
p20438
sg15
I4
sass(g1696
g20315
g20410
I4
tp20439
(dp20440
g6
VCombinatoricaOld`BinarySearch[{-10, 5, 8, 10}, 20] // N
p20441
sg8
(lp20442
(dp20443
g11
(lp20444
sg13
V4.5
p20445
sg15
I5
sass(g1696
g20315
g20410
I5
tp20446
(dp20447
g6
VCombinatoricaOld`BinarySearch[{{a, 1}, {b, 7}}, 7, #[[2]]&]
p20448
sg8
(lp20449
(dp20450
g11
(lp20451
sg13
V2
p20452
sg15
I6
sass(g1696
g20315
VDepth
p20453
I0
tp20454
(dp20455
g6
VDepth[x]
p20456
sg8
(lp20457
(dp20458
g11
(lp20459
sg13
V1
p20460
sg15
I1
sass(g1696
g20315
g20453
I1
tp20461
(dp20462
g6
VDepth[x + y]
p20463
sg8
(lp20464
(dp20465
g11
(lp20466
sg13
V2
p20467
sg15
I2
sass(g1696
g20315
g20453
I2
tp20468
(dp20469
g6
VDepth[{{{{x}}}}]
p20470
sg8
(lp20471
(dp20472
g11
(lp20473
sg13
V5
p20474
sg15
I3
sass(g1696
g20315
g20453
I3
tp20475
(dp20476
g6
VDepth[1 + 2 I]
p20477
sg8
(lp20478
(dp20479
g11
(lp20480
sg13
V1
p20481
sg15
I4
sass(g1696
g20315
g20453
I4
tp20482
(dp20483
g6
VDepth[f[a, b][c]]
p20484
sg8
(lp20485
(dp20486
g11
(lp20487
sg13
V2
p20488
sg15
I5
sass(g1696
g20315
VFlatten
p20489
I0
tp20490
(dp20491
g6
VFlatten[{{a, b}, {c, {d}, e}, {f, {g, h}}}]
p20492
sg8
(lp20493
(dp20494
g11
(lp20495
sg13
V\u005cleft\u005c{a,b,c,d,e,f,g,h\u005cright\u005c}
p20496
sg15
I1
sass(g1696
g20315
g20489
I1
tp20497
(dp20498
g6
VFlatten[{{a, b}, {c, {e}, e}, {f, {g, h}}}, 1]
p20499
sg8
(lp20500
(dp20501
g11
(lp20502
sg13
V\u005cleft\u005c{a,b,c,\u005cleft\u005c{e\u005cright\u005c},e,f,\u005cleft\u005c{g,h\u005cright\u005c}\u005cright\u005c}
p20503
sg15
I2
sass(g1696
g20315
g20489
I2
tp20504
(dp20505
g6
VFlatten[f[a, f[b, f[c, d]], e], Infinity, f]
p20506
sg8
(lp20507
(dp20508
g11
(lp20509
sg13
Vf\u005cleft[a,b,c,d,e\u005cright]
p20510
sg15
I3
sass(g1696
g20315
g20489
I3
tp20511
(dp20512
g6
VFlatten[{{a, b}, {c, d}}, {{2}, {1}}]
p20513
sg8
(lp20514
(dp20515
g11
(lp20516
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{b,d\u005cright\u005c}\u005cright\u005c}
p20517
sg15
I4
sass(g1696
g20315
g20489
I4
tp20518
(dp20519
g6
VFlatten[{{a, b}, {c, d}}, {{1, 2}}]
p20520
sg8
(lp20521
(dp20522
g11
(lp20523
sg13
V\u005cleft\u005c{a,b,c,d\u005cright\u005c}
p20524
sg15
I5
sass(g1696
g20315
g20489
I5
tp20525
(dp20526
g6
VFlatten[{{1, 2, 3}, {4}, {6, 7}, {8, 9, 10}}, {{2}, {1}}]
p20527
sg8
(lp20528
(dp20529
g11
(lp20530
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}
p20531
sg15
I6
sass(g1696
g20315
VFreeQ
p20532
I0
tp20533
(dp20534
g6
VFreeQ[y, x]
p20535
sg8
(lp20536
(dp20537
g11
(lp20538
sg13
V\u005ctext{True}
p20539
sg15
I1
sass(g1696
g20315
g20532
I1
tp20540
(dp20541
g6
VFreeQ[a+b+c, a+b]
p20542
sg8
(lp20543
(dp20544
g11
(lp20545
sg13
V\u005ctext{False}
p20546
sg15
I2
sass(g1696
g20315
g20532
I2
tp20547
(dp20548
g6
VFreeQ[{1, 2, a^(a+b)}, Plus]
p20549
sg8
(lp20550
(dp20551
g11
(lp20552
sg13
V\u005ctext{False}
p20553
sg15
I3
sass(g1696
g20315
g20532
I3
tp20554
(dp20555
g6
VFreeQ[a+b, x_+y_+z_]
p20556
sg8
(lp20557
(dp20558
g11
(lp20559
sg13
V\u005ctext{True}
p20560
sg15
I4
sass(g1696
g20315
g20532
I4
tp20561
(dp20562
g6
VFreeQ[a+b+c, x_+y_+z_]
p20563
sg8
(lp20564
(dp20565
g11
(lp20566
sg13
V\u005ctext{False}
p20567
sg15
I5
sass(g1696
g20315
g20532
I5
tp20568
(dp20569
g6
VFreeQ[x_+y_+z_][a+b]
p20570
sg8
(lp20571
(dp20572
g11
(lp20573
sg13
V\u005ctext{True}
p20574
sg15
I6
sass(g1696
g20315
VHead
p20575
I0
tp20576
(dp20577
g6
VHead[a * b]
p20578
sg8
(lp20579
(dp20580
g11
(lp20581
sg13
V\u005ctext{Times}
p20582
sg15
I1
sass(g1696
g20315
g20575
I1
tp20583
(dp20584
g6
VHead[6]
p20585
sg8
(lp20586
(dp20587
g11
(lp20588
sg13
V\u005ctext{Integer}
p20589
sg15
I2
sass(g1696
g20315
g20575
I2
tp20590
(dp20591
g6
VHead[x]
p20592
sg8
(lp20593
(dp20594
g11
(lp20595
sg13
V\u005ctext{Symbol}
p20596
sg15
I3
sass(g1696
g20315
VMap
p20597
I0
tp20598
(dp20599
g6
Vf /@ {1, 2, 3}
p20600
sg8
(lp20601
(dp20602
g11
(lp20603
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright]\u005cright\u005c}
p20604
sg15
I1
sass(g1696
g20315
g20597
I1
tp20605
(dp20606
g6
V#^2& /@ {1, 2, 3, 4}
p20607
sg8
(lp20608
(dp20609
g11
(lp20610
sg13
V\u005cleft\u005c{1,4,9,16\u005cright\u005c}
p20611
sg15
I2
sass(g1696
g20315
g20597
I2
tp20612
(dp20613
g6
VMap[f, {{a, b}, {c, d, e}}, {2}]
p20614
sg8
(lp20615
(dp20616
g11
(lp20617
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}
p20618
sg15
I3
sass(g1696
g20315
g20597
I3
tp20619
(dp20620
g6
VMap[f, a + b + c, Heads->True]
p20621
sg8
(lp20622
(dp20623
g11
(lp20624
sg13
Vf\u005cleft[\u005ctext{Plus}\u005cright]\u005cleft[f\u005cleft[a\u005cright],f\u005cleft[b\u005cright],f\u005cleft[c\u005cright]\u005cright]
p20625
sg15
I4
sass(g1696
g20315
VMapAt
p20626
I0
tp20627
(dp20628
g6
VMapAt[f, {a, b, c, d}, 2]
p20629
sg8
(lp20630
(dp20631
g11
(lp20632
sg13
V\u005cleft\u005c{a,f\u005cleft[b\u005cright],c,d\u005cright\u005c}
p20633
sg15
I1
sass(g1696
g20315
g20626
I1
tp20634
(dp20635
g6
VMapAt[f, {a, b, c, d}, {{1}, {4}}]
p20636
sg8
(lp20637
(dp20638
g11
(lp20639
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],b,c,f\u005cleft[d\u005cright]\u005cright\u005c}
p20640
sg15
I2
sass(g1696
g20315
g20626
I2
tp20641
(dp20642
g6
VMapAt[f, {a, b, c, d}, -1]
p20643
sg8
(lp20644
(dp20645
g11
(lp20646
sg13
V\u005cleft\u005c{a,b,c,f\u005cleft[d\u005cright]\u005cright\u005c}
p20647
sg15
I3
sass(g1696
g20315
g20626
I3
tp20648
(dp20649
g6
VMapAt[f, <|"a" -> 1, "b" -> 2, "c" -> 3, "d" -> 4, "e" -> 5|>, 3]
p20650
sg8
(lp20651
(dp20652
g11
(lp20653
sg13
V\u005cleft\u005c{\u005ctext{a}->1,\u005ctext{b}->2,\u005ctext{c}->f\u005cleft[3\u005cright],\u005ctext{d}->4,\u005ctext{e}->5\u005cright\u005c}
p20654
sg15
I4
sass(g1696
g20315
g20626
I4
tp20655
(dp20656
g6
VMapAt[f, <|"a" -> 1, "b" -> 2, "c" -> 3, "d" -> 4|>, -3]
p20657
sg8
(lp20658
(dp20659
g11
(lp20660
sg13
V\u005cleft\u005c{\u005ctext{a}->1,\u005ctext{b}->f\u005cleft[2\u005cright],\u005ctext{c}->3,\u005ctext{d}->4\u005cright\u005c}
p20661
sg15
I5
sass(g1696
g20315
g20626
I5
tp20662
(dp20663
g6
VMapAt[f, 1][{a, b, c, d}]
p20664
sg8
(lp20665
(dp20666
g11
(lp20667
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],b,c,d\u005cright\u005c}
p20668
sg15
I6
sass(g1696
g20315
VMapIndexed
p20669
I0
tp20670
(dp20671
g6
VMapIndexed[f, {a, b, c}]
p20672
sg8
(lp20673
(dp20674
g11
(lp20675
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}
p20676
sg15
I1
sass(g1696
g20315
g20669
I1
tp20677
(dp20678
g6
VMapIndexed[f, {a, b, c}, Heads->True]
p20679
sg8
(lp20680
(dp20681
g11
(lp20682
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]
p20683
sg15
I2
sass(g1696
g20315
g20669
I2
tp20684
(dp20685
g6
VMapIndexed[f, a + b + c * d, {0, 1}]
p20686
sg8
(lp20687
(dp20688
g11
(lp20689
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]
p20690
sg15
I3
sass(g1696
g20315
g20669
I3
tp20691
(dp20692
g6
Vexpr = a + b * f[g] * c ^ e;
p20693
sg8
(lp20694
(dp20695
g11
(lp20696
sg13
Nsg15
I4
sass(g1696
g20315
g20669
I4
tp20697
(dp20698
g6
Vlistified = Apply[List, expr, {0, Infinity}];
p20699
sg8
(lp20700
(dp20701
g11
(lp20702
sg13
Nsg15
I5
sass(g1696
g20315
g20669
I5
tp20703
(dp20704
g6
VMapIndexed[#2 &, listified, {-1}]
p20705
sg8
(lp20706
(dp20707
g11
(lp20708
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}
p20709
sg15
I6
sass(g1696
g20315
g20669
I6
tp20710
(dp20711
g6
VMapIndexed[#2 &, listified, {-1}, Heads -> True]
p20712
sg8
(lp20713
(dp20714
g11
(lp20715
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]
p20716
sg15
I7
sass(g1696
g20315
g20669
I7
tp20717
(dp20718
g6
VMapIndexed[Extract[expr, #2] &, listified, {-1}, Heads -> True]
p20719
sg8
(lp20720
(dp20721
g11
(lp20722
sg13
Va+b f\u005cleft[g\u005cright] c^e
p20723
sg15
I8
sass(g1696
g20315
VMapThread
p20724
I0
tp20725
(dp20726
g6
VMapThread[f, {{a, b, c}, {1, 2, 3}}]
p20727
sg8
(lp20728
(dp20729
g11
(lp20730
sg13
V\u005cleft\u005c{f\u005cleft[a,1\u005cright],f\u005cleft[b,2\u005cright],f\u005cleft[c,3\u005cright]\u005cright\u005c}
p20731
sg15
I1
sass(g1696
g20315
g20724
I1
tp20732
(dp20733
g6
VMapThread[f, {{{a, b}, {c, d}}, {{e, f}, {g, h}}}, 2]
p20734
sg8
(lp20735
(dp20736
g11
(lp20737
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}
p20738
sg15
I2
sass(g1696
g20315
VNull
p20739
I0
tp20740
(dp20741
g6
VFullForm[a:=b]
p20742
sg8
(lp20743
(dp20744
g11
(lp20745
sg13
V\u005ctext{Null}
p20746
sg15
I1
sass(g1696
g20315
g20739
I1
tp20747
(dp20748
g6
Va:=b
p20749
sg8
(lp20750
(dp20751
g11
(lp20752
sg13
Nsg15
I2
sass(g1696
g20315
g20739
I2
tp20753
(dp20754
g6
V""
p20755
sg8
(lp20756
(dp20757
g11
(lp20758
sg13
V\u005ctext{}
p20759
sg15
I3
sass(g1696
g20315
VOperate
p20760
I0
tp20761
(dp20762
g6
VOperate[p, f[a, b]]
p20763
sg8
(lp20764
(dp20765
g11
(lp20766
sg13
Vp\u005cleft[f\u005cright]\u005cleft[a,b\u005cright]
p20767
sg15
I1
sass(g1696
g20315
g20760
I1
tp20768
(dp20769
g6
VOperate[p, f[a, b], 1]
p20770
sg8
(lp20771
(dp20772
g11
(lp20773
sg13
Vp\u005cleft[f\u005cright]\u005cleft[a,b\u005cright]
p20774
sg15
I2
sass(g1696
g20315
g20760
I2
tp20775
(dp20776
g6
VOperate[p, f[a][b][c], 0]
p20777
sg8
(lp20778
(dp20779
g11
(lp20780
sg13
Vp\u005cleft[f\u005cleft[a\u005cright]\u005cleft[b\u005cright]\u005cleft[c\u005cright]\u005cright]
p20781
sg15
I3
sass(g1696
g20315
VOrder
p20782
I0
tp20783
(dp20784
g6
VOrder[7, 11]
p20785
sg8
(lp20786
(dp20787
g11
(lp20788
sg13
V1
p20789
sg15
I1
sass(g1696
g20315
g20782
I1
tp20790
(dp20791
g6
VOrder[100, 10]
p20792
sg8
(lp20793
(dp20794
g11
(lp20795
sg13
V-1
p20796
sg15
I2
sass(g1696
g20315
g20782
I2
tp20797
(dp20798
g6
VOrder[x, z]
p20799
sg8
(lp20800
(dp20801
g11
(lp20802
sg13
V1
p20803
sg15
I3
sass(g1696
g20315
g20782
I3
tp20804
(dp20805
g6
VOrder[x, x]
p20806
sg8
(lp20807
(dp20808
g11
(lp20809
sg13
V0
p20810
sg15
I4
sass(g1696
g20315
VOrderedQ
p20811
I0
tp20812
(dp20813
g6
VOrderedQ[a, b]
p20814
sg8
(lp20815
(dp20816
g11
(lp20817
sg13
V\u005ctext{True}
p20818
sg15
I1
sass(g1696
g20315
g20811
I1
tp20819
(dp20820
g6
VOrderedQ[b, a]
p20821
sg8
(lp20822
(dp20823
g11
(lp20824
sg13
V\u005ctext{False}
p20825
sg15
I2
sass(g1696
g20315
VPatternsOrderedQ
p20826
I0
tp20827
(dp20828
g6
VPatternsOrderedQ[x__, x_]
p20829
sg8
(lp20830
(dp20831
g11
(lp20832
sg13
V\u005ctext{False}
p20833
sg15
I1
sass(g1696
g20315
g20826
I1
tp20834
(dp20835
g6
VPatternsOrderedQ[x_, x__]
p20836
sg8
(lp20837
(dp20838
g11
(lp20839
sg13
V\u005ctext{True}
p20840
sg15
I2
sass(g1696
g20315
g20826
I2
tp20841
(dp20842
g6
VPatternsOrderedQ[b, a]
p20843
sg8
(lp20844
(dp20845
g11
(lp20846
sg13
V\u005ctext{True}
p20847
sg15
I3
sass(g1696
g20315
VScan
p20848
I0
tp20849
(dp20850
g6
VScan[Print, {1, 2, 3}]
p20851
sg8
(lp20852
(dp20853
g11
(lp20854
(dp20855
g149
I00
sg156
V1
p20856
sa(dp20857
g149
I00
sg156
V2
p20858
sa(dp20859
g149
I00
sg156
V3
p20860
sasg13
Nsg15
I1
sass(g1696
g20315
VSort
p20861
I0
tp20862
(dp20863
g6
VSort[{4, 1.0, a, 3+I}]
p20864
sg8
(lp20865
(dp20866
g11
(lp20867
sg13
V\u005cleft\u005c{1.,3+I,4,a\u005cright\u005c}
p20868
sg15
I1
sass(g1696
g20315
g20861
I1
tp20869
(dp20870
g6
VSort[{items___, item_, OptionsPattern[], item_symbol, item_?test}, PatternsOrderedQ]
p20871
sg8
(lp20872
(dp20873
g11
(lp20874
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}
p20875
sg15
I2
sass(g1696
g20315
g20861
I2
tp20876
(dp20877
g6
VSort[{a, b/;t}, PatternsOrderedQ]
p20878
sg8
(lp20879
(dp20880
g11
(lp20881
sg13
V\u005cleft\u005c{b\u005ctext{/;}t,a\u005cright\u005c}
p20882
sg15
I3
sass(g1696
g20315
g20861
I3
tp20883
(dp20884
g6
VSort[{2+c_, 1+b__}, PatternsOrderedQ]
p20885
sg8
(lp20886
(dp20887
g11
(lp20888
sg13
V\u005cleft\u005c{2+\u005ctext{c\u005c_},1+\u005ctext{b\u005c_\u005c_}\u005cright\u005c}
p20889
sg15
I4
sass(g1696
g20315
g20861
I4
tp20890
(dp20891
g6
VSort[{x_ + n_*y_, x_ + y_}, PatternsOrderedQ]
p20892
sg8
(lp20893
(dp20894
g11
(lp20895
sg13
V\u005cleft\u005c{\u005ctext{x\u005c_}+\u005ctext{n\u005c_} \u005ctext{y\u005c_},\u005ctext{x\u005c_}+\u005ctext{y\u005c_}\u005cright\u005c}
p20896
sg15
I5
sass(g1696
g20315
VSortBy
p20897
I0
tp20898
(dp20899
g6
VSortBy[{{5, 1}, {10, -1}}, Last]
p20900
sg8
(lp20901
(dp20902
g11
(lp20903
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,-1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p20904
sg15
I1
sass(g1696
g20315
g20897
I1
tp20905
(dp20906
g6
VSortBy[Total][{{5, 1}, {10, -9}}]
p20907
sg8
(lp20908
(dp20909
g11
(lp20910
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,-9\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p20911
sg15
I2
sass(g1696
g20315
VSymbolName
p20912
I0
tp20913
(dp20914
g6
VSymbolName[x] // InputForm
p20915
sg8
(lp20916
(dp20917
g11
(lp20918
sg13
V\u005ctext{"x"}
p20919
sg15
I1
sass(g1696
g20315
VSymbolQ
p20920
I0
tp20921
(dp20922
g6
VSymbolQ[a]
p20923
sg8
(lp20924
(dp20925
g11
(lp20926
sg13
V\u005ctext{True}
p20927
sg15
I1
sass(g1696
g20315
g20920
I1
tp20928
(dp20929
g6
VSymbolQ[1]
p20930
sg8
(lp20931
(dp20932
g11
(lp20933
sg13
V\u005ctext{False}
p20934
sg15
I2
sass(g1696
g20315
g20920
I2
tp20935
(dp20936
g6
VSymbolQ[a + b]
p20937
sg8
(lp20938
(dp20939
g11
(lp20940
sg13
V\u005ctext{False}
p20941
sg15
I3
sass(g1696
g20315
VSymbol
p20942
I0
tp20943
(dp20944
g6
VHead[x]
p20945
sg8
(lp20946
(dp20947
g11
(lp20948
sg13
V\u005ctext{Symbol}
p20949
sg15
I1
sass(g1696
g20315
g20942
I1
tp20950
(dp20951
g6
VSymbol["x"] + Symbol["x"]
p20952
sg8
(lp20953
(dp20954
g11
(lp20955
sg13
V2 x
p20956
sg15
I2
sass(g1696
g20315
VThread
p20957
I0
tp20958
(dp20959
g6
VThread[f[{a, b, c}]]
p20960
sg8
(lp20961
(dp20962
g11
(lp20963
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],f\u005cleft[b\u005cright],f\u005cleft[c\u005cright]\u005cright\u005c}
p20964
sg15
I1
sass(g1696
g20315
g20957
I1
tp20965
(dp20966
g6
VThread[f[{a, b, c}, t]]
p20967
sg8
(lp20968
(dp20969
g11
(lp20970
sg13
V\u005cleft\u005c{f\u005cleft[a,t\u005cright],f\u005cleft[b,t\u005cright],f\u005cleft[c,t\u005cright]\u005cright\u005c}
p20971
sg15
I2
sass(g1696
g20315
g20957
I2
tp20972
(dp20973
g6
VThread[f[a + b + c], Plus]
p20974
sg8
(lp20975
(dp20976
g11
(lp20977
sg13
Vf\u005cleft[a\u005cright]+f\u005cleft[b\u005cright]+f\u005cleft[c\u005cright]
p20978
sg15
I3
sass(g1696
g20315
g20957
I3
tp20979
(dp20980
g6
V{a, b, c} + {d, e, f} + g
p20981
sg8
(lp20982
(dp20983
g11
(lp20984
sg13
V\u005cleft\u005c{a+d+g,b+e+g,c+f+g\u005cright\u005c}
p20985
sg15
I4
sass(g1696
g20315
VThrough
p20986
I0
tp20987
(dp20988
g6
VThrough[f[g][x]]
p20989
sg8
(lp20990
(dp20991
g11
(lp20992
sg13
Vf\u005cleft[g\u005cleft[x\u005cright]\u005cright]
p20993
sg15
I1
sass(g1696
g20315
g20986
I1
tp20994
(dp20995
g6
VThrough[p[f, g][x]]
p20996
sg8
(lp20997
(dp20998
g11
(lp20999
sg13
Vp\u005cleft[f\u005cleft[x\u005cright],g\u005cleft[x\u005cright]\u005cright]
p21000
sg15
I2
sass(g1696
VGlobal System Information
p21001
V$ByteOrdering
p21002
I0
tp21003
(dp21004
g6
V$ByteOrdering
p21005
sg8
(lp21006
(dp21007
g11
(lp21008
sg13
V-1
p21009
sg15
I1
sass(g1696
g21001
V$CommandLine
p21010
I0
tp21011
(dp21012
g6
V$CommandLine
p21013
sg8
(lp21014
(dp21015
g11
(lp21016
sg13
V\u005cleft\u005c{\u005ctext{mathics/test.py},\u005ctext{-ot},\u005ctext{-k}\u005cright\u005c}
p21017
sg15
I1
sass(g1696
g21001
VEnvironment
p21018
I0
tp21019
(dp21020
g6
VEnvironment["HOME"]
p21021
sg8
(lp21022
(dp21023
g11
(lp21024
sg13
V\u005ctext{/home/rocky}
p21025
sg15
I1
sass(g1696
g21001
VGetEnvironment
p21026
I0
tp21027
(dp21028
g6
VGetEnvironment["HOME"]
p21029
sg8
(lp21030
(dp21031
g11
(lp21032
sg13
V\u005ctext{HOME}->\u005ctext{/home/rocky}
p21033
sg15
I1
sass(g1696
g21001
V$Machine
p21034
I0
tp21035
(dp21036
g6
V$Machine
p21037
sg8
(lp21038
(dp21039
g11
(lp21040
sg13
V\u005ctext{linux}
p21041
sg15
I1
sass(g1696
g21001
V$MachineName
p21042
I0
tp21043
(dp21044
g6
V$MachineName
p21045
sg8
(lp21046
(dp21047
g11
(lp21048
sg13
V\u005ctext{muffin}
p21049
sg15
I1
sass(g1696
g21001
VNames
p21050
I0
tp21051
(dp21052
g6
VNames["List"]
p21053
sg8
(lp21054
(dp21055
g11
(lp21056
sg13
V\u005cleft\u005c{\u005ctext{List}\u005cright\u005c}
p21057
sg15
I1
sass(g1696
g21001
g21050
I1
tp21058
(dp21059
g6
VNames["List*"]
p21060
sg8
(lp21061
(dp21062
g11
(lp21063
sg13
V\u005cleft\u005c{\u005ctext{List},\u005ctext{ListLinePlot},\u005ctext{ListPlot},\u005ctext{ListQ},\u005ctext{Listable}\u005cright\u005c}
p21064
sg15
I2
sass(g1696
g21001
g21050
I2
tp21065
(dp21066
g6
VNames["List@"]
p21067
sg8
(lp21068
(dp21069
g11
(lp21070
sg13
V\u005cleft\u005c{\u005ctext{Listable}\u005cright\u005c}
p21071
sg15
I3
sass(g1696
g21001
g21050
I3
tp21072
(dp21073
g6
Vx = 5;
p21074
sg8
(lp21075
(dp21076
g11
(lp21077
sg13
Nsg15
I4
sass(g1696
g21001
g21050
I4
tp21078
(dp21079
g6
VNames["Global`*"]
p21080
sg8
(lp21081
(dp21082
g11
(lp21083
sg13
V\u005cleft\u005c{\u005ctext{x}\u005cright\u005c}
p21084
sg15
I5
sass(g1696
g21001
g21050
I5
tp21085
(dp21086
g6
VLength[Names["System`*"]]
p21087
sg8
(lp21088
(dp21089
g11
(lp21090
sg13
V1039
p21091
sg15
I6
sass(g1696
g21001
V$Packages
p21092
I0
tp21093
(dp21094
g6
V$Packages
p21095
sg8
(lp21096
(dp21097
g11
(lp21098
sg13
V\u005cleft\u005c{\u005ctext{ImportExport`},\u005ctext{XML`},\u005ctext{Internal`},\u005ctext{System`},\u005ctext{Global`}\u005cright\u005c}
p21099
sg15
I1
sass(g1696
g21001
V$ParentProcessID
p21100
I0
tp21101
(dp21102
g6
V$ParentProcessID
p21103
sg8
(lp21104
(dp21105
g11
(lp21106
sg13
V979269
p21107
sg15
I1
sass(g1696
g21001
V$ProcessID
p21108
I0
tp21109
(dp21110
g6
V$ProcessID
p21111
sg8
(lp21112
(dp21113
g11
(lp21114
sg13
V979271
p21115
sg15
I1
sass(g1696
g21001
V$ProcessorType
p21116
I0
tp21117
(dp21118
g6
V$ProcessorType
p21119
sg8
(lp21120
(dp21121
g11
(lp21122
sg13
V\u005ctext{x86\u005c_64}
p21123
sg15
I1
sass(g1696
g21001
V$ScriptCommandLine
p21124
I0
tp21125
(dp21126
g6
V$ScriptCommandLine
p21127
sg8
(lp21128
(dp21129
g11
(lp21130
sg13
V\u005cleft\u005c{\u005cright\u005c}
p21131
sg15
I1
sass(g1696
g21001
V$SystemID
p21132
I0
tp21133
(dp21134
g6
V$SystemID
p21135
sg8
(lp21136
(dp21137
g11
(lp21138
sg13
V\u005ctext{linux}
p21139
sg15
I1
sass(g1696
g21001
V$SystemWordLength
p21140
I0
tp21141
(dp21142
g6
V$SystemWordLength
p21143
sg8
(lp21144
(dp21145
g11
(lp21146
sg13
V64
p21147
sg15
I1
sass(g1696
g21001
V$UserName
p21148
I0
tp21149
(dp21150
g6
V$UserName
p21151
sg8
(lp21152
(dp21153
g11
(lp21154
sg13
V\u005ctext{rocky}
p21155
sg15
I1
sass(g1696
g21001
V$Version
p21156
I0
tp21157
(dp21158
g6
V$Version
p21159
sg8
(lp21160
(dp21161
g11
(lp21162
sg13
V\u005ctext{Mathics 1.1.1 on CPython 3.7.9 (default, Nov 18 2020, 03:45:16)  using SymPy 1.7.1, mpmath 1.1.0, cython 0.29.21}
p21163
sg15
I1
sass(g1696
g21001
V$VersionNumber
p21164
I0
tp21165
(dp21166
g6
V$VersionNumber
p21167
sg8
(lp21168
(dp21169
g11
(lp21170
sg13
V6.
p21171
sg15
I1
sass(g1696
VTensors
p21172
VArrayDepth
p21173
I0
tp21174
(dp21175
g6
VArrayDepth[{{a,b},{c,d}}]
p21176
sg8
(lp21177
(dp21178
g11
(lp21179
sg13
V2
p21180
sg15
I1
sass(g1696
g21172
g21173
I1
tp21181
(dp21182
g6
VArrayDepth[x]
p21183
sg8
(lp21184
(dp21185
g11
(lp21186
sg13
V0
p21187
sg15
I2
sass(g1696
g21172
VArrayQ
p21188
I0
tp21189
(dp21190
g6
VArrayQ[a]
p21191
sg8
(lp21192
(dp21193
g11
(lp21194
sg13
V\u005ctext{False}
p21195
sg15
I1
sass(g1696
g21172
g21188
I1
tp21196
(dp21197
g6
VArrayQ[{a}]
p21198
sg8
(lp21199
(dp21200
g11
(lp21201
sg13
V\u005ctext{True}
p21202
sg15
I2
sass(g1696
g21172
g21188
I2
tp21203
(dp21204
g6
VArrayQ[{{{a}},{{b,c}}}]
p21205
sg8
(lp21206
(dp21207
g11
(lp21208
sg13
V\u005ctext{False}
p21209
sg15
I3
sass(g1696
g21172
g21188
I3
tp21210
(dp21211
g6
VArrayQ[{{a, b}, {c, d}}, 2, SymbolQ]
p21212
sg8
(lp21213
(dp21214
g11
(lp21215
sg13
V\u005ctext{True}
p21216
sg15
I4
sass(g1696
g21172
VDiagonalMatrix
p21217
I0
tp21218
(dp21219
g6
VDiagonalMatrix[{1, 2, 3}]
p21220
sg8
(lp21221
(dp21222
g11
(lp21223
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}
p21224
sg15
I1
sass(g1696
g21172
g21217
I1
tp21225
(dp21226
g6
VMatrixForm[%]
p21227
sg8
(lp21228
(dp21229
g11
(lp21230
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 0 & 0\u005c\u005c 0 & 2 & 0\u005c\u005c 0 & 0 & 3\u005cend{array}\u005cright)
p21231
sg15
I2
sass(g1696
g21172
VDimensions
p21232
I0
tp21233
(dp21234
g6
VDimensions[{a, b, c}]
p21235
sg8
(lp21236
(dp21237
g11
(lp21238
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p21239
sg15
I1
sass(g1696
g21172
g21232
I1
tp21240
(dp21241
g6
VDimensions[{{a, b}, {c, d}, {e, f}}]
p21242
sg8
(lp21243
(dp21244
g11
(lp21245
sg13
V\u005cleft\u005c{3,2\u005cright\u005c}
p21246
sg15
I2
sass(g1696
g21172
g21232
I2
tp21247
(dp21248
g6
VDimensions[{{a, b}, {b, c}, {c, d, e}}]
p21249
sg8
(lp21250
(dp21251
g11
(lp21252
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p21253
sg15
I3
sass(g1696
g21172
g21232
I3
tp21254
(dp21255
g6
VDimensions[f[f[a, b, c]]]
p21256
sg8
(lp21257
(dp21258
g11
(lp21259
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p21260
sg15
I4
sass(g1696
g21172
VDot
p21261
I0
tp21262
(dp21263
g6
V{a, b, c} . {x, y, z}
p21264
sg8
(lp21265
(dp21266
g11
(lp21267
sg13
Va x+b y+c z
p21268
sg15
I1
sass(g1696
g21172
g21261
I1
tp21269
(dp21270
g6
V{{a, b}, {c, d}} . {x, y}
p21271
sg8
(lp21272
(dp21273
g11
(lp21274
sg13
V\u005cleft\u005c{a x+b y,c x+d y\u005cright\u005c}
p21275
sg15
I2
sass(g1696
g21172
g21261
I2
tp21276
(dp21277
g6
V{{a, b}, {c, d}} . {{r, s}, {t, u}}
p21278
sg8
(lp21279
(dp21280
g11
(lp21281
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}
p21282
sg15
I3
sass(g1696
g21172
g21261
I3
tp21283
(dp21284
g6
Va . b
p21285
sg8
(lp21286
(dp21287
g11
(lp21288
sg13
Va.b
p21289
sg15
I4
sass(g1696
g21172
VIdentityMatrix
p21290
I0
tp21291
(dp21292
g6
VIdentityMatrix[3]
p21293
sg8
(lp21294
(dp21295
g11
(lp21296
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}
p21297
sg15
I1
sass(g1696
g21172
VInner
p21298
I0
tp21299
(dp21300
g6
VInner[f, {a, b}, {x, y}, g]
p21301
sg8
(lp21302
(dp21303
g11
(lp21304
sg13
Vg\u005cleft[f\u005cleft[a,x\u005cright],f\u005cleft[b,y\u005cright]\u005cright]
p21305
sg15
I1
sass(g1696
g21172
g21298
I1
tp21306
(dp21307
g6
VInner[Times, {a, b}, {c, d}, Plus] == {a, b} . {c, d}
p21308
sg8
(lp21309
(dp21310
g11
(lp21311
sg13
V\u005ctext{True}
p21312
sg15
I2
sass(g1696
g21172
g21298
I2
tp21313
(dp21314
g6
VInner[And, {{False, False}, {False, True}}, {{True, False}, {True, True}}, Or]
p21315
sg8
(lp21316
(dp21317
g11
(lp21318
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{False},\u005ctext{False}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c}\u005cright\u005c}
p21319
sg15
I3
sass(g1696
g21172
g21298
I3
tp21320
(dp21321
g6
VInner[f, {{{a, b}}, {{c, d}}}, {{1}, {2}}, g]
p21322
sg8
(lp21323
(dp21324
g11
(lp21325
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}
p21326
sg15
I4
sass(g1696
g21172
VMatrixQ
p21327
I0
tp21328
(dp21329
g6
VMatrixQ[{{1, 3}, {4.0, 3/2}}, NumberQ]
p21330
sg8
(lp21331
(dp21332
g11
(lp21333
sg13
V\u005ctext{True}
p21334
sg15
I1
sass(g1696
g21172
VOuter
p21335
I0
tp21336
(dp21337
g6
VOuter[f, {a, b}, {1, 2, 3}]
p21338
sg8
(lp21339
(dp21340
g11
(lp21341
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}
p21342
sg15
I1
sass(g1696
g21172
g21335
I1
tp21343
(dp21344
g6
VOuter[Times, {{a, b}, {c, d}}, {{1, 2}, {3, 4}}]
p21345
sg8
(lp21346
(dp21347
g11
(lp21348
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}
p21349
sg15
I2
sass(g1696
g21172
g21335
I2
tp21350
(dp21351
g6
VOuter[f, {a, b}, {x, y, z}, {1, 2}]
p21352
sg8
(lp21353
(dp21354
g11
(lp21355
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}
p21356
sg15
I3
sass(g1696
g21172
g21335
I3
tp21357
(dp21358
g6
VOuter[Times, {{1, 2}}, {{a, b}, {c, d, e}}]
p21359
sg8
(lp21360
(dp21361
g11
(lp21362
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}
p21363
sg15
I4
sass(g1696
g21172
g21335
I4
tp21364
(dp21365
g6
VOuter[StringJoin, {"", "re", "un"}, {"cover", "draw", "wind"}, {"", "ing", "s"}] // InputForm
p21366
sg8
(lp21367
(dp21368
g11
(lp21369
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}
p21370
sg15
I5
sass(g1696
g21172
g21335
I5
tp21371
(dp21372
g6
Vtrigs = Outer[Composition, {Sin, Cos, Tan}, {ArcSin, ArcCos, ArcTan}]
p21373
sg8
(lp21374
(dp21375
g11
(lp21376
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}
p21377
sg15
I6
sass(g1696
g21172
g21335
I6
tp21378
(dp21379
g6
VMap[#[0] &, trigs, {2}]
p21380
sg8
(lp21381
(dp21382
g11
(lp21383
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}
p21384
sg15
I7
sass(g1696
g21172
VTranspose
p21385
I0
tp21386
(dp21387
g6
VTranspose[{{1, 2, 3}, {4, 5, 6}}]
p21388
sg8
(lp21389
(dp21390
g11
(lp21391
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,4\u005cright\u005c},\u005cleft\u005c{2,5\u005cright\u005c},\u005cleft\u005c{3,6\u005cright\u005c}\u005cright\u005c}
p21392
sg15
I1
sass(g1696
g21172
g21385
I1
tp21393
(dp21394
g6
VMatrixForm[%]
p21395
sg8
(lp21396
(dp21397
g11
(lp21398
sg13
V\u005cleft(\u005cbegin{array}{cc} 1 & 4\u005c\u005c 2 & 5\u005c\u005c 3 & 6\u005cend{array}\u005cright)
p21399
sg15
I2
sass(g1696
g21172
VVectorQ
p21400
I0
tp21401
(dp21402
g6
VVectorQ[{a, b, c}]
p21403
sg8
(lp21404
(dp21405
g11
(lp21406
sg13
V\u005ctext{True}
p21407
sg15
I1
sass(g1696
VXML
p21408
VXML`PlaintextImport
p21409
I0
tp21410
(dp21411
g6
VStringReplace[StringTake[Import["ExampleData/InventionNo1.xml", "Plaintext"],31],FromCharacterCode[10]->"/"]
p21412
sg8
(lp21413
(dp21414
g11
(lp21415
sg13
V\u005ctext{MuseScore 1.2/2012-09-12/5.7/40}
p21416
sg15
I1
sass(g1696
g21408
VXML`TagsImport
p21417
I0
tp21418
(dp21419
g6
VTake[Import["ExampleData/InventionNo1.xml", "Tags"], 10]
p21420
sg8
(lp21421
(dp21422
g11
(lp21423
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}
p21424
sg15
I1
sass(g1696
g21408
VXML`Parser`XMLGetString
p21425
I0
tp21426
(dp21427
g6
VHead[XML`Parser`XMLGetString["<a></a>"]]
p21428
sg8
(lp21429
(dp21430
g11
(lp21431
sg13
V\u005ctext{XMLObject}\u005cleft[\u005ctext{Document}\u005cright]
p21432
sg15
I1
sass(g1696
g21408
VXML`XMLObjectImport
p21433
I0
tp21434
(dp21435
g6
VPart[Import["ExampleData/InventionNo1.xml", "XMLObject"], 2, 3, 1]
p21436
sg8
(lp21437
(dp21438
g11
(lp21439
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]
p21440
sg15
I1
sass(g1696
g21408
g21433
I1
tp21441
(dp21442
g6
VPart[Import["ExampleData/Namespaces.xml"], 2]
p21443
sg8
(lp21444
(dp21445
g11
(lp21446
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]
p21447
sg15
I2
sass(g1696
VOptimization
p21448
VMaximize
p21449
I0
tp21450
(dp21451
g6
VMaximize[-2 x^2 - 3 x + 5, x]
p21452
sg8
(lp21453
(dp21454
g11
(lp21455
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{49}{8},\u005cleft\u005c{x->-\u005cfrac{3}{4}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p21456
sg15
I1
sass(g1696
g21448
VMinimize
p21457
I0
tp21458
(dp21459
g6
VMinimize[2 x^2 - 3 x + 5, x]
p21460
sg8
(lp21461
(dp21462
g11
(lp21463
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{31}{8},\u005cleft\u005c{x->\u005cfrac{3}{4}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p21464
sg15
I1
sass(g1696
VFile Operations
p21465
VAbsoluteFileName
p21466
I0
tp21467
(dp21468
g6
VAbsoluteFileName["ExampleData/sunflowers.jpg"]
p21469
sg8
(lp21470
(dp21471
g11
(lp21472
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/sunflowers.jpg}
p21473
sg15
I1
sass(g1696
g21465
VBinaryRead
p21474
I0
tp21475
(dp21476
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21477
sg8
(lp21478
(dp21479
g11
(lp21480
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpmnybh29l},183\u005cright]
p21481
sg15
I1
sass(g1696
g21465
g21474
I1
tp21482
(dp21483
g6
VBinaryWrite[strm, {97, 98, 99}]
p21484
sg8
(lp21485
(dp21486
g11
(lp21487
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpmnybh29l},183\u005cright]
p21488
sg15
I2
sass(g1696
g21465
g21474
I2
tp21489
(dp21490
g6
VClose[strm]
p21491
sg8
(lp21492
(dp21493
g11
(lp21494
sg13
V\u005ctext{/tmp/tmpmnybh29l}
p21495
sg15
I3
sass(g1696
g21465
g21474
I3
tp21496
(dp21497
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21498
sg8
(lp21499
(dp21500
g11
(lp21501
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpmnybh29l},184\u005cright]
p21502
sg15
I4
sass(g1696
g21465
g21474
I4
tp21503
(dp21504
g6
VBinaryRead[strm, {"Character8", "Character8", "Character8"}]
p21505
sg8
(lp21506
(dp21507
g11
(lp21508
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p21509
sg15
I5
sass(g1696
g21465
g21474
I5
tp21510
(dp21511
g6
VClose[strm];
p21512
sg8
(lp21513
(dp21514
g11
(lp21515
sg13
Nsg15
I6
sass(g1696
g21465
VBinaryWrite
p21516
I0
tp21517
(dp21518
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21519
sg8
(lp21520
(dp21521
g11
(lp21522
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpt8hjb861},309\u005cright]
p21523
sg15
I1
sass(g1696
g21465
g21516
I1
tp21524
(dp21525
g6
VBinaryWrite[strm, {39, 4, 122}]
p21526
sg8
(lp21527
(dp21528
g11
(lp21529
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpt8hjb861},309\u005cright]
p21530
sg15
I2
sass(g1696
g21465
g21516
I2
tp21531
(dp21532
g6
VClose[strm]
p21533
sg8
(lp21534
(dp21535
g11
(lp21536
sg13
V\u005ctext{/tmp/tmpt8hjb861}
p21537
sg15
I3
sass(g1696
g21465
g21516
I3
tp21538
(dp21539
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21540
sg8
(lp21541
(dp21542
g11
(lp21543
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpt8hjb861},310\u005cright]
p21544
sg15
I4
sass(g1696
g21465
g21516
I4
tp21545
(dp21546
g6
VBinaryRead[strm]
p21547
sg8
(lp21548
(dp21549
g11
(lp21550
sg13
V39
p21551
sg15
I5
sass(g1696
g21465
g21516
I5
tp21552
(dp21553
g6
VBinaryRead[strm, "Byte"]
p21554
sg8
(lp21555
(dp21556
g11
(lp21557
sg13
V4
p21558
sg15
I6
sass(g1696
g21465
g21516
I6
tp21559
(dp21560
g6
VBinaryRead[strm, "Character8"]
p21561
sg8
(lp21562
(dp21563
g11
(lp21564
sg13
V\u005ctext{z}
p21565
sg15
I7
sass(g1696
g21465
g21516
I7
tp21566
(dp21567
g6
VClose[strm];
p21568
sg8
(lp21569
(dp21570
g11
(lp21571
sg13
Nsg15
I8
sass(g1696
g21465
g21516
I8
tp21572
(dp21573
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21574
sg8
(lp21575
(dp21576
g11
(lp21577
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpv7uf3n4v},311\u005cright]
p21578
sg15
I9
sass(g1696
g21465
g21516
I9
tp21579
(dp21580
g6
VBinaryWrite[strm, "abc123"]
p21581
sg8
(lp21582
(dp21583
g11
(lp21584
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpv7uf3n4v},311\u005cright]
p21585
sg15
I10
sass(g1696
g21465
g21516
I10
tp21586
(dp21587
g6
VClose[%]
p21588
sg8
(lp21589
(dp21590
g11
(lp21591
sg13
V\u005ctext{/tmp/tmpv7uf3n4v}
p21592
sg15
I11
sass(g1696
g21465
g21516
I11
tp21593
(dp21594
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21595
sg8
(lp21596
(dp21597
g11
(lp21598
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpv7uf3n4v},312\u005cright]
p21599
sg15
I12
sass(g1696
g21465
g21516
I12
tp21600
(dp21601
g6
VBinaryRead[strm, {"Character8", "Character8", "Character8", "Character8", "Character8", "Character8", "Character8"}]
p21602
sg8
(lp21603
(dp21604
g11
(lp21605
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{1},\u005ctext{2},\u005ctext{3},\u005ctext{EndOfFile}\u005cright\u005c}
p21606
sg15
I13
sass(g1696
g21465
g21516
I13
tp21607
(dp21608
g6
VClose[strm]
p21609
sg8
(lp21610
(dp21611
g11
(lp21612
sg13
V\u005ctext{/tmp/tmpv7uf3n4v}
p21613
sg15
I14
sass(g1696
g21465
g21516
I14
tp21614
(dp21615
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21616
sg8
(lp21617
(dp21618
g11
(lp21619
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpv7uf3n4v},313\u005cright]
p21620
sg15
I15
sass(g1696
g21465
g21516
I15
tp21621
(dp21622
g6
VBinaryRead[strm, {"Byte", "Byte", "Byte", "Byte", "Byte", "Byte", "Byte"}]
p21623
sg8
(lp21624
(dp21625
g11
(lp21626
sg13
V\u005cleft\u005c{97,98,99,49,50,51,\u005ctext{EndOfFile}\u005cright\u005c}
p21627
sg15
I16
sass(g1696
g21465
g21516
I16
tp21628
(dp21629
g6
VClose[strm]
p21630
sg8
(lp21631
(dp21632
g11
(lp21633
sg13
V\u005ctext{/tmp/tmpv7uf3n4v}
p21634
sg15
I17
sass(g1696
g21465
g21516
I17
tp21635
(dp21636
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21637
sg8
(lp21638
(dp21639
g11
(lp21640
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpk8ehz\u005c_7r},314\u005cright]
p21641
sg15
I18
sass(g1696
g21465
g21516
I18
tp21642
(dp21643
g6
VBinaryWrite[strm, 97, "Byte"]
p21644
sg8
(lp21645
(dp21646
g11
(lp21647
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpk8ehz\u005c_7r},314\u005cright]
p21648
sg15
I19
sass(g1696
g21465
g21516
I19
tp21649
(dp21650
g6
VBinaryWrite[strm, {97, 98, 99}, {"Byte", "Byte", "Byte"}]
p21651
sg8
(lp21652
(dp21653
g11
(lp21654
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpk8ehz\u005c_7r},314\u005cright]
p21655
sg15
I20
sass(g1696
g21465
g21516
I20
tp21656
(dp21657
g6
VClose[%]
p21658
sg8
(lp21659
(dp21660
g11
(lp21661
sg13
V\u005ctext{/tmp/tmpk8ehz\u005c_7r}
p21662
sg15
I21
sass(g1696
g21465
VClose
p21663
I0
tp21664
(dp21665
g6
VClose[StringToStream["123abc"]]
p21666
sg8
(lp21667
(dp21668
g11
(lp21669
sg13
V\u005ctext{String}
p21670
sg15
I1
sass(g1696
g21465
g21663
I1
tp21671
(dp21672
g6
VClose[OpenWrite[]]
p21673
sg8
(lp21674
(dp21675
g11
(lp21676
sg13
V\u005ctext{/tmp/tmp9g33h81p}
p21677
sg15
I2
sass(g1696
g21465
VCompress
p21678
I0
tp21679
(dp21680
g6
VCompress[N[Pi, 10]]
p21681
sg8
(lp21682
(dp21683
g11
(lp21684
sg13
V\u005ctext{eJwz1jM0MTS1NDIzNQEADRsCNw==\u005cnewline\u000a}
p21685
sg15
I1
sass(g1696
g21465
VCopyFile
p21686
I0
tp21687
(dp21688
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"]
p21689
sg8
(lp21690
(dp21691
g11
(lp21692
sg13
V\u005ctext{MathicsSunflowers.jpg}
p21693
sg15
I1
sass(g1696
g21465
g21686
I1
tp21694
(dp21695
g6
VDeleteFile["MathicsSunflowers.jpg"]
p21696
sg8
(lp21697
(dp21698
g11
(lp21699
sg13
Nsg15
I2
sass(g1696
g21465
VCreateDirectory
p21700
I0
tp21701
(dp21702
g6
Vdir = CreateDirectory[]
p21703
sg8
(lp21704
(dp21705
g11
(lp21706
sg13
V\u005ctext{/tmp/me0s7jos6}
p21707
sg15
I1
sass(g1696
g21465
VDeleteDirectory
p21708
I0
tp21709
(dp21710
g6
Vdir = CreateDirectory[]
p21711
sg8
(lp21712
(dp21713
g11
(lp21714
sg13
V\u005ctext{/tmp/mdwccqlwd}
p21715
sg15
I1
sass(g1696
g21465
g21708
I1
tp21716
(dp21717
g6
VDeleteDirectory[dir]
p21718
sg8
(lp21719
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g11
(lp21721
sg13
Nsg15
I2
sass(g1696
g21465
g21708
I2
tp21722
(dp21723
g6
VDirectoryQ[dir]
p21724
sg8
(lp21725
(dp21726
g11
(lp21727
sg13
V\u005ctext{False}
p21728
sg15
I3
sass(g1696
g21465
VDeleteFile
p21729
I0
tp21730
(dp21731
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"];
p21732
sg8
(lp21733
(dp21734
g11
(lp21735
sg13
Nsg15
I1
sass(g1696
g21465
g21729
I1
tp21736
(dp21737
g6
VDeleteFile["MathicsSunflowers.jpg"]
p21738
sg8
(lp21739
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g11
(lp21741
sg13
Nsg15
I2
sass(g1696
g21465
g21729
I2
tp21742
(dp21743
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers1.jpg"];
p21744
sg8
(lp21745
(dp21746
g11
(lp21747
sg13
Nsg15
I3
sass(g1696
g21465
g21729
I3
tp21748
(dp21749
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers2.jpg"];
p21750
sg8
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g11
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sg13
Nsg15
I4
sass(g1696
g21465
g21729
I4
tp21754
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g6
VDeleteFile[{"MathicsSunflowers1.jpg", "MathicsSunflowers2.jpg"}]
p21756
sg8
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g11
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sg13
Nsg15
I5
sass(g1696
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VDirectory
p21760
I0
tp21761
(dp21762
g6
VDirectory[]
p21763
sg8
(lp21764
(dp21765
g11
(lp21766
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p21767
sg15
I1
sass(g1696
g21465
VDirectoryName
p21768
I0
tp21769
(dp21770
g6
VDirectoryName["a/b/c"]
p21771
sg8
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g11
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sg13
V\u005ctext{a/b}
p21775
sg15
I1
sass(g1696
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g21768
I1
tp21776
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g6
VDirectoryName["a/b/c", 2]
p21778
sg8
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g11
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sg13
V\u005ctext{a}
p21782
sg15
I2
sass(g1696
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VDirectoryQ
p21783
I0
tp21784
(dp21785
g6
VDirectoryQ["ExampleData/"]
p21786
sg8
(lp21787
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g11
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sg13
V\u005ctext{True}
p21790
sg15
I1
sass(g1696
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g21783
I1
tp21791
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g6
VDirectoryQ["ExampleData/MythicalSubdir/"]
p21793
sg8
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g11
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V\u005ctext{False}
p21797
sg15
I2
sass(g1696
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VDirectoryStack
p21798
I0
tp21799
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g6
VDirectoryStack[]
p21801
sg8
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g11
(lp21804
sg13
V\u005cleft\u005c{\u005ctext{/src/external-vcs/github/mathics/Mathics}\u005cright\u005c}
p21805
sg15
I1
sass(g1696
g21465
VExpandFileName
p21806
I0
tp21807
(dp21808
g6
VExpandFileName["ExampleData/sunflowers.jpg"]
p21809
sg8
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g11
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sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/ExampleData/sunflowers.jpg}
p21813
sg15
I1
sass(g1696
g21465
VFileBaseName
p21814
I0
tp21815
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g6
VFileBaseName["file.txt"]
p21817
sg8
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g11
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sg13
V\u005ctext{file}
p21821
sg15
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sass(g1696
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g21814
I1
tp21822
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g6
VFileBaseName["file.tar.gz"]
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sg8
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g11
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sg13
V\u005ctext{file.tar}
p21828
sg15
I2
sass(g1696
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VFileByteCount
p21829
I0
tp21830
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g6
VFileByteCount["ExampleData/sunflowers.jpg"]
p21832
sg8
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g11
(lp21835
sg13
V142286
p21836
sg15
I1
sass(g1696
g21465
VFileDate
p21837
I0
tp21838
(dp21839
g6
VFileDate["ExampleData/sunflowers.jpg"]
p21840
sg8
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g11
(lp21843
sg13
V\u005cleft\u005c{2020,9,6,7,16,33.2822\u005cright\u005c}
p21844
sg15
I1
sass(g1696
g21465
g21837
I1
tp21845
(dp21846
g6
VFileDate["ExampleData/sunflowers.jpg", "Access"]
p21847
sg8
(lp21848
(dp21849
g11
(lp21850
sg13
V\u005cleft\u005c{2020,12,23,6,3,45.1164\u005cright\u005c}
p21851
sg15
I2
sass(g1696
g21465
g21837
I2
tp21852
(dp21853
g6
VFileDate["ExampleData/sunflowers.jpg", "Creation"]
p21854
sg8
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g11
(lp21857
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright]
p21858
sg15
I3
sass(g1696
g21465
g21837
I3
tp21859
(dp21860
g6
VFileDate["ExampleData/sunflowers.jpg", "Change"]
p21861
sg8
(lp21862
(dp21863
g11
(lp21864
sg13
V\u005cleft\u005c{2020,9,6,7,16,33.2822\u005cright\u005c}
p21865
sg15
I4
sass(g1696
g21465
g21837
I4
tp21866
(dp21867
g6
VFileDate["ExampleData/sunflowers.jpg", "Modification"]
p21868
sg8
(lp21869
(dp21870
g11
(lp21871
sg13
V\u005cleft\u005c{2020,9,6,7,16,33.2822\u005cright\u005c}
p21872
sg15
I5
sass(g1696
g21465
g21837
I5
tp21873
(dp21874
g6
VFileDate["ExampleData/sunflowers.jpg", "Rules"]
p21875
sg8
(lp21876
(dp21877
g11
(lp21878
sg13
V\u005cleft\u005c{\u005ctext{Access}->\u005cleft\u005c{2020,12,23,6,3,45.1164\u005cright\u005c},\u005ctext{Creation}->\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright],\u005ctext{Change}->\u005cleft\u005c{2020,9,6,7,16,33.2822\u005cright\u005c},\u005ctext{Modification}->\u005cleft\u005c{2020,9,6,7,16,33.2822\u005cright\u005c}\u005cright\u005c}
p21879
sg15
I6
sass(g1696
g21465
VFileExistsQ
p21880
I0
tp21881
(dp21882
g6
VFileExistsQ["ExampleData/sunflowers.jpg"]
p21883
sg8
(lp21884
(dp21885
g11
(lp21886
sg13
V\u005ctext{True}
p21887
sg15
I1
sass(g1696
g21465
g21880
I1
tp21888
(dp21889
g6
VFileExistsQ["ExampleData/sunflowers.png"]
p21890
sg8
(lp21891
(dp21892
g11
(lp21893
sg13
V\u005ctext{False}
p21894
sg15
I2
sass(g1696
g21465
VFileExtension
p21895
I0
tp21896
(dp21897
g6
VFileExtension["file.txt"]
p21898
sg8
(lp21899
(dp21900
g11
(lp21901
sg13
V\u005ctext{txt}
p21902
sg15
I1
sass(g1696
g21465
g21895
I1
tp21903
(dp21904
g6
VFileExtension["file.tar.gz"]
p21905
sg8
(lp21906
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g11
(lp21908
sg13
V\u005ctext{gz}
p21909
sg15
I2
sass(g1696
g21465
VFileHash
p21910
I0
tp21911
(dp21912
g6
VFileHash["ExampleData/sunflowers.jpg"]
p21913
sg8
(lp21914
(dp21915
g11
(lp21916
sg13
V109937059621979839952736809235486742106
p21917
sg15
I1
sass(g1696
g21465
g21910
I1
tp21918
(dp21919
g6
VFileHash["ExampleData/sunflowers.jpg", "MD5"]
p21920
sg8
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g11
(lp21923
sg13
V109937059621979839952736809235486742106
p21924
sg15
I2
sass(g1696
g21465
g21910
I2
tp21925
(dp21926
g6
VFileHash["ExampleData/sunflowers.jpg", "Adler32"]
p21927
sg8
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g11
(lp21930
sg13
V1607049478
p21931
sg15
I3
sass(g1696
g21465
g21910
I3
tp21932
(dp21933
g6
VFileHash["ExampleData/sunflowers.jpg", "SHA256"]
p21934
sg8
(lp21935
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g11
(lp21937
sg13
V111619807552579450300684600241129773909359865098672286468229443390003894913065
p21938
sg15
I4
sass(g1696
g21465
VFileInformation
p21939
I0
tp21940
(dp21941
g6
VFileInformation["ExampleData/sunflowers.jpg"]
p21942
sg8
(lp21943
(dp21944
g11
(lp21945
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}->3.80837\u005ctimes 10^9\u005cright\u005c}
p21946
sg15
I1
sass(g1696
g21465
VFileNameDepth
p21947
I0
tp21948
(dp21949
g6
VFileNameDepth["a/b/c"]
p21950
sg8
(lp21951
(dp21952
g11
(lp21953
sg13
V3
p21954
sg15
I1
sass(g1696
g21465
g21947
I1
tp21955
(dp21956
g6
VFileNameDepth["a/b/c/"]
p21957
sg8
(lp21958
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g11
(lp21960
sg13
V3
p21961
sg15
I2
sass(g1696
g21465
VFileNameJoin
p21962
I0
tp21963
(dp21964
g6
VFileNameJoin[{"dir1", "dir2", "dir3"}]
p21965
sg8
(lp21966
(dp21967
g11
(lp21968
sg13
V\u005ctext{dir1/dir2/dir3}
p21969
sg15
I1
sass(g1696
g21465
g21962
I1
tp21970
(dp21971
g6
VFileNameJoin[{"dir1", "dir2", "dir3"}, OperatingSystem -> "Unix"]
p21972
sg8
(lp21973
(dp21974
g11
(lp21975
sg13
V\u005ctext{dir1/dir2/dir3}
p21976
sg15
I2
sass(g1696
g21465
VFileNameSplit
p21977
I0
tp21978
(dp21979
g6
VFileNameSplit["example/path/file.txt"]
p21980
sg8
(lp21981
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g11
(lp21983
sg13
V\u005cleft\u005c{\u005ctext{example},\u005ctext{path},\u005ctext{file.txt}\u005cright\u005c}
p21984
sg15
I1
sass(g1696
g21465
VFileNameTake
p21985
I0
tp21986
(dp21987
g6
VFileNameTake["/tmp/file.txt"]
p21988
sg8
(lp21989
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g11
(lp21991
sg13
V\u005ctext{file.txt}
p21992
sg15
I1
sass(g1696
g21465
g21985
I1
tp21993
(dp21994
g6
VFileNameTake["tmp/file.txt", 1]
p21995
sg8
(lp21996
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g11
(lp21998
sg13
V\u005ctext{tmp}
p21999
sg15
I2
sass(g1696
g21465
g21985
I2
tp22000
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g6
VFileNameTake["tmp/file.txt", -1]
p22002
sg8
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g11
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sg13
V\u005ctext{file.txt}
p22006
sg15
I3
sass(g1696
g21465
VFileType
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I0
tp22008
(dp22009
g6
VFileType["ExampleData/sunflowers.jpg"]
p22010
sg8
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g11
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sg13
V\u005ctext{File}
p22014
sg15
I1
sass(g1696
g21465
g22007
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tp22015
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g6
VFileType["ExampleData"]
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sg8
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g11
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sg13
V\u005ctext{Directory}
p22021
sg15
I2
sass(g1696
g21465
g22007
I2
tp22022
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g6
VFileType["ExampleData/nonexistant"]
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sg8
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g11
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sg13
V\u005ctext{None}
p22028
sg15
I3
sass(g1696
g21465
VFind
p22029
I0
tp22030
(dp22031
g6
Vstr = OpenRead["ExampleData/EinsteinSzilLetter.txt"];
p22032
sg8
(lp22033
(dp22034
g11
(lp22035
sg13
Nsg15
I1
sass(g1696
g21465
g22029
I1
tp22036
(dp22037
g6
VFind[str, "uranium"]
p22038
sg8
(lp22039
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g11
(lp22041
sg13
V\u005ctext{in manuscript, leads me to expect that the element uranium may be turned into}
p22042
sg15
I2
sass(g1696
g21465
g22029
I2
tp22043
(dp22044
g6
VFind[str, "uranium"]
p22045
sg8
(lp22046
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g11
(lp22048
sg13
V\u005ctext{become possible to set up a nuclear chain reaction in a large mass of uranium,}
p22049
sg15
I3
sass(g1696
g21465
g22029
I3
tp22050
(dp22051
g6
VClose[str]
p22052
sg8
(lp22053
(dp22054
g11
(lp22055
sg13
V\u005ctext{ExampleData/EinsteinSzilLetter.txt}
p22056
sg15
I4
sass(g1696
g21465
g22029
I4
tp22057
(dp22058
g6
Vstr = OpenRead["ExampleData/EinsteinSzilLetter.txt"];
p22059
sg8
(lp22060
(dp22061
g11
(lp22062
sg13
Nsg15
I5
sass(g1696
g21465
g22029
I5
tp22063
(dp22064
g6
VFind[str, {"energy", "power"} ]
p22065
sg8
(lp22066
(dp22067
g11
(lp22068
sg13
V\u005ctext{a new and important source of energy in the immediate future. Certain aspects}
p22069
sg15
I6
sass(g1696
g21465
g22029
I6
tp22070
(dp22071
g6
VFind[str, {"energy", "power"} ]
p22072
sg8
(lp22073
(dp22074
g11
(lp22075
sg13
V\u005ctext{by which vast amounts of power and large quantities of new radium-like}
p22076
sg15
I7
sass(g1696
g21465
g22029
I7
tp22077
(dp22078
g6
VClose[str]
p22079
sg8
(lp22080
(dp22081
g11
(lp22082
sg13
V\u005ctext{ExampleData/EinsteinSzilLetter.txt}
p22083
sg15
I8
sass(g1696
g21465
VFindFile
p22084
I0
tp22085
(dp22086
g6
VFindFile["ExampleData/sunflowers.jpg"]
p22087
sg8
(lp22088
(dp22089
g11
(lp22090
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/sunflowers.jpg}
p22091
sg15
I1
sass(g1696
g21465
g22084
I1
tp22092
(dp22093
g6
VFindFile["VectorAnalysis`"]
p22094
sg8
(lp22095
(dp22096
g11
(lp22097
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages/VectorAnalysis/Kernel/init.m}
p22098
sg15
I2
sass(g1696
g21465
g22084
I2
tp22099
(dp22100
g6
VFindFile["VectorAnalysis`VectorAnalysis`"]
p22101
sg8
(lp22102
(dp22103
g11
(lp22104
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages/VectorAnalysis/VectorAnalysis.m}
p22105
sg15
I3
sass(g1696
g21465
VFindList
p22106
I0
tp22107
(dp22108
g6
Vstr = FindList["ExampleData/EinsteinSzilLetter.txt", "uranium"];
p22109
sg8
(lp22110
(dp22111
g11
(lp22112
sg13
Nsg15
I1
sass(g1696
g21465
g22106
I2
tp22113
(dp22114
g6
VFindList["ExampleData/EinsteinSzilLetter.txt", "uranium", 1]
p22115
sg8
(lp22116
(dp22117
g11
(lp22118
sg13
V\u005cleft\u005c{\u005ctext{in manuscript, leads me to expect that the element uranium may be turned into}\u005cright\u005c}
p22119
sg15
I2
sass(g1696
g21465
VGet
p22120
I0
tp22121
(dp22122
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22123
sg8
(lp22124
(dp22125
g11
(lp22126
sg13
Nsg15
I1
sass(g1696
g21465
g22120
I1
tp22127
(dp22128
g6
VPut[x + y, filename]
p22129
sg8
(lp22130
(dp22131
g11
(lp22132
sg13
Nsg15
I2
sass(g1696
g21465
g22120
I2
tp22133
(dp22134
g6
VGet[filename]
p22135
sg8
(lp22136
(dp22137
g11
(lp22138
(dp22139
g149
I01
sg150
VSyntax
p22140
sg152
Vsntxf
p22141
sg154
VSyntax::sntxf
p22142
sg156
V"x" cannot be followed by "\u005ctext{ + }y" (line 1 of "/tmp/example_file").
p22143
sasg13
Nsg15
I3
sass(g1696
g21465
g22120
I3
tp22144
(dp22145
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22146
sg8
(lp22147
(dp22148
g11
(lp22149
sg13
Nsg15
I4
sass(g1696
g21465
g22120
I4
tp22150
(dp22151
g6
VPut[x + y, 2x^2 + 4z!, Cos[x] + I Sin[x], filename]
p22152
sg8
(lp22153
(dp22154
g11
(lp22155
sg13
Nsg15
I5
sass(g1696
g21465
g22120
I5
tp22156
(dp22157
g6
VGet["/tmp/example_file"]
p22158
sg8
(lp22159
(dp22160
g11
(lp22161
(dp22162
g149
I01
sg150
VSyntax
p22163
sg152
g22141
sg154
VSyntax::sntxf
p22164
sg156
V"x" cannot be followed by "\u005ctext{ + }y" (line 1 of "/tmp/example_file").
p22165
sasg13
Nsg15
I6
sass(g1696
g21465
g22120
I6
tp22166
(dp22167
g6
VDeleteFile[filename]
p22168
sg8
(lp22169
(dp22170
g11
(lp22171
sg13
Nsg15
I7
sass(g1696
g21465
V$HomeDirectory
p22172
I0
tp22173
(dp22174
g6
V$HomeDirectory
p22175
sg8
(lp22176
(dp22177
g11
(lp22178
sg13
V\u005ctext{/home/rocky}
p22179
sg15
I1
sass(g1696
g21465
V$InitialDirectory
p22180
I0
tp22181
(dp22182
g6
V$InitialDirectory
p22183
sg8
(lp22184
(dp22185
g11
(lp22186
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p22187
sg15
I1
sass(g1696
g21465
V$Input
p22188
I0
tp22189
(dp22190
g6
V$Input
p22191
sg8
(lp22192
(dp22193
g11
(lp22194
sg13
V\u005ctext{}
p22195
sg15
I1
sass(g1696
g21465
V$InputFileName
p22196
I0
tp22197
(dp22198
g6
V$InputFileName
p22199
sg8
(lp22200
(dp22201
g11
(lp22202
sg13
V\u005ctext{/tmp/example\u005c_file}
p22203
sg15
I1
sass(g1696
g21465
VInputStream
p22204
I0
tp22205
(dp22206
g6
Vstr = StringToStream["Mathics is cool!"]
p22207
sg8
(lp22208
(dp22209
g11
(lp22210
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},374\u005cright]
p22211
sg15
I1
sass(g1696
g21465
g22204
I1
tp22212
(dp22213
g6
VClose[str]
p22214
sg8
(lp22215
(dp22216
g11
(lp22217
sg13
V\u005ctext{String}
p22218
sg15
I2
sass(g1696
g21465
V$InstallationDirectory
p22219
I0
tp22220
(dp22221
g6
V$InstallationDirectory
p22222
sg8
(lp22223
(dp22224
g11
(lp22225
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics}
p22226
sg15
I1
sass(g1696
g21465
VNeeds
p22227
I0
tp22228
(dp22229
g6
VNeeds["VectorAnalysis`"]
p22230
sg8
(lp22231
(dp22232
g11
(lp22233
sg13
Nsg15
I1
sass(g1696
g21465
VOpenAppend
p22234
I0
tp22235
(dp22236
g6
VOpenAppend[]
p22237
sg8
(lp22238
(dp22239
g11
(lp22240
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmptgv5l454},384\u005cright]
p22241
sg15
I1
sass(g1696
g21465
VOpenRead
p22242
I0
tp22243
(dp22244
g6
VOpenRead["ExampleData/EinsteinSzilLetter.txt"]
p22245
sg8
(lp22246
(dp22247
g11
(lp22248
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{ExampleData/EinsteinSzilLetter.txt},390\u005cright]
p22249
sg15
I1
sass(g1696
g21465
g22242
I2
tp22250
(dp22251
g6
VOpenRead["https://raw.githubusercontent.com/mathics/Mathics/master/README.rst"]
p22252
sg8
(lp22253
(dp22254
g11
(lp22255
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{https://raw.githubusercontent.com/mathics/Mathics/master/README.rst},391\u005cright]
p22256
sg15
I2
sass(g1696
g21465
g22242
I3
tp22257
(dp22258
g6
VClose[%];
p22259
sg8
(lp22260
(dp22261
g11
(lp22262
sg13
Nsg15
I3
sass(g1696
g21465
VOpenWrite
p22263
I0
tp22264
(dp22265
g6
VOpenWrite[]
p22266
sg8
(lp22267
(dp22268
g11
(lp22269
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpyonawr4t},395\u005cright]
p22270
sg15
I1
sass(g1696
g21465
V$OperatingSystem
p22271
I0
tp22272
(dp22273
g6
V$OperatingSystem
p22274
sg8
(lp22275
(dp22276
g11
(lp22277
sg13
V\u005ctext{Unix}
p22278
sg15
I1
sass(g1696
g21465
VOutputStream
p22279
I0
tp22280
(dp22281
g6
VOpenWrite[]
p22282
sg8
(lp22283
(dp22284
g11
(lp22285
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpt\u005c_cpxqi1},398\u005cright]
p22286
sg15
I1
sass(g1696
g21465
g22279
I1
tp22287
(dp22288
g6
VClose[%]
p22289
sg8
(lp22290
(dp22291
g11
(lp22292
sg13
V\u005ctext{/tmp/tmpt\u005c_cpxqi1}
p22293
sg15
I2
sass(g1696
g21465
VParentDirectory
p22294
I0
tp22295
(dp22296
g6
VParentDirectory[]
p22297
sg8
(lp22298
(dp22299
g11
(lp22300
sg13
V\u005ctext{/src/external-vcs/github/mathics}
p22301
sg15
I1
sass(g1696
g21465
V$Path
p22302
I0
tp22303
(dp22304
g6
V$Path
p22305
sg8
(lp22306
(dp22307
g11
(lp22308
sg13
V\u005cleft\u005c{\u005ctext{.},\u005ctext{/home/rocky},\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data},\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages}\u005cright\u005c}
p22309
sg15
I1
sass(g1696
g21465
V$PathnameSeparator
p22310
I0
tp22311
(dp22312
g6
V$PathnameSeparator
p22313
sg8
(lp22314
(dp22315
g11
(lp22316
sg13
V\u005ctext{/}
p22317
sg15
I1
sass(g1696
g21465
VPut
p22318
I0
tp22319
(dp22320
g6
VPut[40!, fortyfactorial]
p22321
sg8
(lp22322
(dp22323
g11
(lp22324
(dp22325
g149
I01
sg150
VGeneral
p22326
sg152
Vstream
p22327
sg154
VGeneral::stream
p22328
sg156
Vfortyfactorial is not string, InputStream[], or OutputStream[]
p22329
sasg13
V815915283247897734345611269596115894272000000000\u005ctext{>>}\u005ctext{fortyfactorial}
p22330
sg15
I1
sass(g1696
g21465
g22318
I1
tp22331
(dp22332
g6
Vfilename = $TemporaryDirectory <> "/fortyfactorial";
p22333
sg8
(lp22334
(dp22335
g11
(lp22336
sg13
Nsg15
I2
sass(g1696
g21465
g22318
I2
tp22337
(dp22338
g6
VPut[40!, filename]
p22339
sg8
(lp22340
(dp22341
g11
(lp22342
sg13
Nsg15
I3
sass(g1696
g21465
g22318
I3
tp22343
(dp22344
g6
VFilePrint[filename]
p22345
sg8
(lp22346
(dp22347
g11
(lp22348
(dp22349
g149
I00
sg156
V815915283247897734345611269596115894272000000000
p22350
sasg13
Nsg15
I4
sass(g1696
g21465
g22318
I4
tp22351
(dp22352
g6
VGet[filename]
p22353
sg8
(lp22354
(dp22355
g11
(lp22356
sg13
V815915283247897734345611269596115894272000000000
p22357
sg15
I5
sass(g1696
g21465
g22318
I5
tp22358
(dp22359
g6
VDeleteFile[filename]
p22360
sg8
(lp22361
(dp22362
g11
(lp22363
sg13
Nsg15
I6
sass(g1696
g21465
g22318
I6
tp22364
(dp22365
g6
Vfilename = $TemporaryDirectory <> "/fiftyfactorial";
p22366
sg8
(lp22367
(dp22368
g11
(lp22369
sg13
Nsg15
I7
sass(g1696
g21465
g22318
I7
tp22370
(dp22371
g6
VPut[10!, 20!, 30!, filename]
p22372
sg8
(lp22373
(dp22374
g11
(lp22375
sg13
Nsg15
I8
sass(g1696
g21465
g22318
I8
tp22376
(dp22377
g6
VFilePrint[filename]
p22378
sg8
(lp22379
(dp22380
g11
(lp22381
(dp22382
g149
I00
sg156
V3628800
p22383
sa(dp22384
g149
I00
sg156
V2432902008176640000
p22385
sa(dp22386
g149
I00
sg156
V265252859812191058636308480000000
p22387
sasg13
Nsg15
I9
sass(g1696
g21465
g22318
I9
tp22388
(dp22389
g6
VDeleteFile[filename]
p22390
sg8
(lp22391
(dp22392
g11
(lp22393
sg13
Nsg15
I10
sass(g1696
g21465
g22318
I10
tp22394
(dp22395
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22396
sg8
(lp22397
(dp22398
g11
(lp22399
sg13
Nsg15
I11
sass(g1696
g21465
g22318
I11
tp22400
(dp22401
g6
VPut[x + y, 2x^2 + 4z!, Cos[x] + I Sin[x], filename]
p22402
sg8
(lp22403
(dp22404
g11
(lp22405
sg13
Nsg15
I12
sass(g1696
g21465
g22318
I12
tp22406
(dp22407
g6
VFilePrint[filename]
p22408
sg8
(lp22409
(dp22410
g11
(lp22411
(dp22412
g149
I00
sg156
Vx\u005ctext{ + }y
p22413
sa(dp22414
g149
I00
sg156
V2*x{}^{\u005cwedge}2\u005ctext{ + }4*z!
p22415
sa(dp22416
g149
I00
sg156
V\u005ctext{Cos}\u005cleft[x\u005cright]\u005ctext{ + }I*\u005ctext{Sin}\u005cleft[x\u005cright]
p22417
sasg13
Nsg15
I13
sass(g1696
g21465
g22318
I13
tp22418
(dp22419
g6
VDeleteFile[filename]
p22420
sg8
(lp22421
(dp22422
g11
(lp22423
sg13
Nsg15
I14
sass(g1696
g21465
g22318
I14
tp22424
(dp22425
g6
Vx >> /var/
p22426
sg8
(lp22427
(dp22428
g11
(lp22429
(dp22430
g149
I01
sg150
VGeneral
p22431
sg152
Vnoopen
p22432
sg154
VGeneral::noopen
p22433
sg156
VCannot open /var/.
p22434
sasg13
Vx\u005ctext{>>}\u005ctext{/var/}
p22435
sg15
I15
sass(g1696
g21465
g22318
I15
tp22436
(dp22437
g6
Vx >> /proc/uptime
p22438
sg8
(lp22439
(dp22440
g11
(lp22441
(dp22442
g149
I01
sg150
VGeneral
p22443
sg152
g22432
sg154
VGeneral::noopen
p22444
sg156
VCannot open /proc/uptime.
p22445
sasg13
Vx\u005ctext{>>}\u005ctext{/proc/uptime}
p22446
sg15
I16
sass(g1696
g21465
g22318
I16
tp22447
(dp22448
g6
Vx >> /dev/full
p22449
sg8
(lp22450
(dp22451
g11
(lp22452
(dp22453
g149
I01
sg150
VClose
p22454
sg152
Vclosex
p22455
sg154
VClose::closex
p22456
sg156
VNo space left on device.
p22457
sasg13
Nsg15
I17
sass(g1696
g21465
VPutAppend
p22458
I0
tp22459
(dp22460
g6
VPut[50!, "factorials"]
p22461
sg8
(lp22462
(dp22463
g11
(lp22464
sg13
Nsg15
I1
sass(g1696
g21465
g22458
I1
tp22465
(dp22466
g6
VFilePrint["factorials"]
p22467
sg8
(lp22468
(dp22469
g11
(lp22470
(dp22471
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22472
sasg13
Nsg15
I2
sass(g1696
g21465
g22458
I2
tp22473
(dp22474
g6
VPutAppend[10!, 20!, 30!, "factorials"]
p22475
sg8
(lp22476
(dp22477
g11
(lp22478
sg13
Nsg15
I3
sass(g1696
g21465
g22458
I3
tp22479
(dp22480
g6
VFilePrint["factorials"]
p22481
sg8
(lp22482
(dp22483
g11
(lp22484
(dp22485
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22486
sa(dp22487
g149
I00
sg156
V3628800
p22488
sa(dp22489
g149
I00
sg156
V2432902008176640000
p22490
sa(dp22491
g149
I00
sg156
V265252859812191058636308480000000
p22492
sasg13
Nsg15
I4
sass(g1696
g21465
g22458
I4
tp22493
(dp22494
g6
V60! >>> "factorials"
p22495
sg8
(lp22496
(dp22497
g11
(lp22498
sg13
Nsg15
I5
sass(g1696
g21465
g22458
I5
tp22499
(dp22500
g6
VFilePrint["factorials"]
p22501
sg8
(lp22502
(dp22503
g11
(lp22504
(dp22505
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22506
sa(dp22507
g149
I00
sg156
V3628800
p22508
sa(dp22509
g149
I00
sg156
V2432902008176640000
p22510
sa(dp22511
g149
I00
sg156
V265252859812191058636308480000000
p22512
sa(dp22513
g149
I00
sg156
V8320987112741390144276341183223364380754172606361245952449277696409600000000000000
p22514
sasg13
Nsg15
I6
sass(g1696
g21465
g22458
I6
tp22515
(dp22516
g6
V"string" >>> factorials
p22517
sg8
(lp22518
(dp22519
g11
(lp22520
sg13
Nsg15
I7
sass(g1696
g21465
g22458
I7
tp22521
(dp22522
g6
VFilePrint["factorials"]
p22523
sg8
(lp22524
(dp22525
g11
(lp22526
(dp22527
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22528
sa(dp22529
g149
I00
sg156
V3628800
p22530
sa(dp22531
g149
I00
sg156
V2432902008176640000
p22532
sa(dp22533
g149
I00
sg156
V265252859812191058636308480000000
p22534
sa(dp22535
g149
I00
sg156
V8320987112741390144276341183223364380754172606361245952449277696409600000000000000
p22536
sa(dp22537
g149
I00
sg156
V"string"
p22538
sasg13
Nsg15
I8
sass(g1696
g21465
VRead
p22539
I2
tp22540
(dp22541
g6
Vstr = StringToStream["abc123"];
p22542
sg8
(lp22543
(dp22544
g11
(lp22545
sg13
Nsg15
I1
sass(g1696
g21465
g22539
I3
tp22546
(dp22547
g6
VRead[str, String]
p22548
sg8
(lp22549
(dp22550
g11
(lp22551
sg13
V\u005ctext{abc123}
p22552
sg15
I2
sass(g1696
g21465
g22539
I6
tp22553
(dp22554
g6
Vstr = StringToStream["abc 123"];
p22555
sg8
(lp22556
(dp22557
g11
(lp22558
sg13
Nsg15
I3
sass(g1696
g21465
g22539
I7
tp22559
(dp22560
g6
VRead[str, Word]
p22561
sg8
(lp22562
(dp22563
g11
(lp22564
sg13
V\u005ctext{abc}
p22565
sg15
I4
sass(g1696
g21465
g22539
I8
tp22566
(dp22567
g6
VRead[str, Word]
p22568
sg8
(lp22569
(dp22570
g11
(lp22571
sg13
V\u005ctext{123}
p22572
sg15
I5
sass(g1696
g21465
g22539
I15
tp22573
(dp22574
g6
Vstr = StringToStream["123, 4"];
p22575
sg8
(lp22576
(dp22577
g11
(lp22578
sg13
Nsg15
I6
sass(g1696
g21465
g22539
I16
tp22579
(dp22580
g6
VRead[str, Number]
p22581
sg8
(lp22582
(dp22583
g11
(lp22584
sg13
V123
p22585
sg15
I7
sass(g1696
g21465
g22539
I17
tp22586
(dp22587
g6
VRead[str, Number]
p22588
sg8
(lp22589
(dp22590
g11
(lp22591
sg13
V4
p22592
sg15
I8
sass(g1696
g21465
g22539
I38
tp22593
(dp22594
g6
Vstr = StringToStream["123 abc"];
p22595
sg8
(lp22596
(dp22597
g11
(lp22598
sg13
Nsg15
I9
sass(g1696
g21465
g22539
I39
tp22599
(dp22600
g6
VRead[str, {Number, Word}]
p22601
sg8
(lp22602
(dp22603
g11
(lp22604
sg13
V\u005cleft\u005c{123,\u005ctext{abc}\u005cright\u005c}
p22605
sg15
I10
sass(g1696
g21465
VReadList
p22606
I0
tp22607
(dp22608
g6
VReadList[StringToStream["a 1 b 2"], {Word, Number}]
p22609
sg8
(lp22610
(dp22611
g11
(lp22612
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{a},1\u005cright\u005c},\u005cleft\u005c{\u005ctext{b},2\u005cright\u005c}\u005cright\u005c}
p22613
sg15
I1
sass(g1696
g21465
g22606
I1
tp22614
(dp22615
g6
Vstr = StringToStream["abc123"];
p22616
sg8
(lp22617
(dp22618
g11
(lp22619
sg13
Nsg15
I2
sass(g1696
g21465
g22606
I2
tp22620
(dp22621
g6
VReadList[str]
p22622
sg8
(lp22623
(dp22624
g11
(lp22625
sg13
V\u005cleft\u005c{\u005ctext{abc123}\u005cright\u005c}
p22626
sg15
I3
sass(g1696
g21465
g22606
I3
tp22627
(dp22628
g6
VInputForm[%]
p22629
sg8
(lp22630
(dp22631
g11
(lp22632
sg13
V\u005cleft\u005c{\u005ctext{"abc123"}\u005cright\u005c}
p22633
sg15
I4
sass(g1696
g21465
VRenameFile
p22634
I0
tp22635
(dp22636
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"]
p22637
sg8
(lp22638
(dp22639
g11
(lp22640
sg13
V\u005ctext{MathicsSunflowers.jpg}
p22641
sg15
I1
sass(g1696
g21465
g22634
I1
tp22642
(dp22643
g6
VRenameFile["MathicsSunflowers.jpg", "MathicsSunnyFlowers.jpg"]
p22644
sg8
(lp22645
(dp22646
g11
(lp22647
sg13
V\u005ctext{MathicsSunnyFlowers.jpg}
p22648
sg15
I2
sass(g1696
g21465
g22634
I2
tp22649
(dp22650
g6
VDeleteFile["MathicsSunnyFlowers.jpg"]
p22651
sg8
(lp22652
(dp22653
g11
(lp22654
sg13
Nsg15
I3
sass(g1696
g21465
VResetDirectory
p22655
I0
tp22656
(dp22657
g6
VResetDirectory[]
p22658
sg8
(lp22659
(dp22660
g11
(lp22661
(dp22662
g149
I01
sg150
VResetDirectory
p22663
sg152
Vdtop
p22664
sg154
VResetDirectory::dtop
p22665
sg156
VDirectory stack is empty.
p22666
sasg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p22667
sg15
I1
sass(g1696
g21465
V$RootDirectory
p22668
I0
tp22669
(dp22670
g6
V$RootDirectory
p22671
sg8
(lp22672
(dp22673
g11
(lp22674
sg13
V\u005ctext{/}
p22675
sg15
I1
sass(g1696
g21465
VSetDirectory
p22676
I0
tp22677
(dp22678
g6
VSetDirectory[]
p22679
sg8
(lp22680
(dp22681
g11
(lp22682
sg13
V\u005ctext{/home/rocky}
p22683
sg15
I1
sass(g1696
g21465
VSetFileDate
p22684
I0
tp22685
(dp22686
g6
Vtmpfilename = $TemporaryDirectory <> "/tmp0";
p22687
sg8
(lp22688
(dp22689
g11
(lp22690
sg13
Nsg15
I1
sass(g1696
g21465
g22684
I1
tp22691
(dp22692
g6
VClose[OpenWrite[tmpfilename]];
p22693
sg8
(lp22694
(dp22695
g11
(lp22696
sg13
Nsg15
I2
sass(g1696
g21465
g22684
I2
tp22697
(dp22698
g6
VSetFileDate[tmpfilename, {2000, 1, 1, 0, 0, 0.}, "Access"];
p22699
sg8
(lp22700
(dp22701
g11
(lp22702
sg13
Nsg15
I3
sass(g1696
g21465
g22684
I3
tp22703
(dp22704
g6
VFileDate[tmpfilename, "Access"]
p22705
sg8
(lp22706
(dp22707
g11
(lp22708
sg13
V\u005cleft\u005c{2000,1,1,0,0,0.\u005cright\u005c}
p22709
sg15
I4
sass(g1696
g21465
VSetStreamPosition
p22710
I0
tp22711
(dp22712
g6
Vstr = StringToStream["Mathics is cool!"]
p22713
sg8
(lp22714
(dp22715
g11
(lp22716
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},481\u005cright]
p22717
sg15
I1
sass(g1696
g21465
g22710
I1
tp22718
(dp22719
g6
VSetStreamPosition[str, 8]
p22720
sg8
(lp22721
(dp22722
g11
(lp22723
sg13
V8
p22724
sg15
I2
sass(g1696
g21465
g22710
I2
tp22725
(dp22726
g6
VRead[str, Word]
p22727
sg8
(lp22728
(dp22729
g11
(lp22730
sg13
V\u005ctext{is}
p22731
sg15
I3
sass(g1696
g21465
g22710
I4
tp22732
(dp22733
g6
VSetStreamPosition[str, Infinity]
p22734
sg8
(lp22735
(dp22736
g11
(lp22737
sg13
V16
p22738
sg15
I4
sass(g1696
g21465
VSkip
p22739
I0
tp22740
(dp22741
g6
Vstr = StringToStream["a b c d"];
p22742
sg8
(lp22743
(dp22744
g11
(lp22745
sg13
Nsg15
I1
sass(g1696
g21465
g22739
I1
tp22746
(dp22747
g6
VRead[str, Word]
p22748
sg8
(lp22749
(dp22750
g11
(lp22751
sg13
V\u005ctext{a}
p22752
sg15
I2
sass(g1696
g21465
g22739
I2
tp22753
(dp22754
g6
VSkip[str, Word]
p22755
sg8
(lp22756
(dp22757
g11
(lp22758
sg13
Nsg15
I3
sass(g1696
g21465
g22739
I3
tp22759
(dp22760
g6
VRead[str, Word]
p22761
sg8
(lp22762
(dp22763
g11
(lp22764
sg13
V\u005ctext{c}
p22765
sg15
I4
sass(g1696
g21465
g22739
I5
tp22766
(dp22767
g6
Vstr = StringToStream["a b c d"];
p22768
sg8
(lp22769
(dp22770
g11
(lp22771
sg13
Nsg15
I5
sass(g1696
g21465
g22739
I6
tp22772
(dp22773
g6
VRead[str, Word]
p22774
sg8
(lp22775
(dp22776
g11
(lp22777
sg13
V\u005ctext{a}
p22778
sg15
I6
sass(g1696
g21465
g22739
I7
tp22779
(dp22780
g6
VSkip[str, Word, 2]
p22781
sg8
(lp22782
(dp22783
g11
(lp22784
sg13
Nsg15
I7
sass(g1696
g21465
g22739
I8
tp22785
(dp22786
g6
VRead[str, Word]
p22787
sg8
(lp22788
(dp22789
g11
(lp22790
sg13
V\u005ctext{d}
p22791
sg15
I8
sass(g1696
g21465
VStreamPosition
p22792
I0
tp22793
(dp22794
g6
Vstr = StringToStream["Mathics is cool!"]
p22795
sg8
(lp22796
(dp22797
g11
(lp22798
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},490\u005cright]
p22799
sg15
I1
sass(g1696
g21465
g22792
I1
tp22800
(dp22801
g6
VRead[str, Word]
p22802
sg8
(lp22803
(dp22804
g11
(lp22805
sg13
V\u005ctext{Mathics}
p22806
sg15
I2
sass(g1696
g21465
g22792
I2
tp22807
(dp22808
g6
VStreamPosition[str]
p22809
sg8
(lp22810
(dp22811
g11
(lp22812
sg13
V7
p22813
sg15
I3
sass(g1696
g21465
VStreams
p22814
I0
tp22815
(dp22816
g6
VStreams[]
p22817
sg8
(lp22818
(dp22819
g11
(lp22820
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},382\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpnpdgqy9g},383\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmptgv5l454},384\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/EinsteinSzilLetter.txt},388\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/EinsteinSzilLetter.txt},390\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpcx29d0t9},394\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpyonawr4t},395\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},451\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},461\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},471\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},479\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},480\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},481\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},484\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{OutputStream}\u005cleft[\u005ctext{/tmp/tmpv30\u005c_2eum},491\u005cright]\u005cright\u005c}
p22821
sg15
I1
sass(g1696
g21465
VStringToStream
p22822
I0
tp22823
(dp22824
g6
Vstrm = StringToStream["abc 123"]
p22825
sg8
(lp22826
(dp22827
g11
(lp22828
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},494\u005cright]
p22829
sg15
I1
sass(g1696
g21465
V$TemporaryDirectory
p22830
I0
tp22831
(dp22832
g6
V$TemporaryDirectory
p22833
sg8
(lp22834
(dp22835
g11
(lp22836
sg13
V\u005ctext{/tmp}
p22837
sg15
I1
sass(g1696
g21465
VToFileName
p22838
I1
tp22839
(dp22840
g6
VToFileName[{"dir1", "dir2"}, "file"]
p22841
sg8
(lp22842
(dp22843
g11
(lp22844
sg13
V\u005ctext{dir1/dir2/file}
p22845
sg15
I1
sass(g1696
g21465
g22838
I2
tp22846
(dp22847
g6
VToFileName["dir1", "file"]
p22848
sg8
(lp22849
(dp22850
g11
(lp22851
sg13
V\u005ctext{dir1/file}
p22852
sg15
I2
sass(g1696
g21465
g22838
I3
tp22853
(dp22854
g6
VToFileName[{"dir1", "dir2", "dir3"}]
p22855
sg8
(lp22856
(dp22857
g11
(lp22858
sg13
V\u005ctext{dir1/dir2/dir3}
p22859
sg15
I3
sass(g1696
g21465
VUncompress
p22860
I0
tp22861
(dp22862
g6
VCompress["Mathics is cool"]
p22863
sg8
(lp22864
(dp22865
g11
(lp22866
sg13
V\u005ctext{eJxT8k0sychMLlbILFZIzs/PUQIANFwF1w==\u005cnewline\u000a}
p22867
sg15
I1
sass(g1696
g21465
g22860
I1
tp22868
(dp22869
g6
VUncompress[%]
p22870
sg8
(lp22871
(dp22872
g11
(lp22873
sg13
V\u005ctext{Mathics is cool}
p22874
sg15
I2
sass(g1696
g21465
g22860
I2
tp22875
(dp22876
g6
Va = x ^ 2 + y Sin[x] + 10 Log[15];
p22877
sg8
(lp22878
(dp22879
g11
(lp22880
sg13
Nsg15
I3
sass(g1696
g21465
g22860
I3
tp22881
(dp22882
g6
Vb = Compress[a];
p22883
sg8
(lp22884
(dp22885
g11
(lp22886
sg13
Nsg15
I4
sass(g1696
g21465
g22860
I4
tp22887
(dp22888
g6
VUncompress[b]
p22889
sg8
(lp22890
(dp22891
g11
(lp22892
sg13
Vx^2+y \u005ctext{Sin}\u005cleft[x\u005cright]+10 \u005ctext{Log}\u005cleft[15\u005cright]
p22893
sg15
I5
sass(g1696
g21465
VWrite
p22894
I0
tp22895
(dp22896
g6
Vstr = OpenWrite[]
p22897
sg8
(lp22898
(dp22899
g11
(lp22900
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmp9ag3w7m8},499\u005cright]
p22901
sg15
I1
sass(g1696
g21465
g22894
I1
tp22902
(dp22903
g6
VWrite[str, 10 x + 15 y ^ 2]
p22904
sg8
(lp22905
(dp22906
g11
(lp22907
sg13
Nsg15
I2
sass(g1696
g21465
g22894
I2
tp22908
(dp22909
g6
VWrite[str, 3 Sin[z]]
p22910
sg8
(lp22911
(dp22912
g11
(lp22913
sg13
Nsg15
I3
sass(g1696
g21465
g22894
I3
tp22914
(dp22915
g6
VClose[str]
p22916
sg8
(lp22917
(dp22918
g11
(lp22919
sg13
V\u005ctext{/tmp/tmp9ag3w7m8}
p22920
sg15
I4
sass(g1696
g21465
g22894
I4
tp22921
(dp22922
g6
Vstr = OpenRead[%];
p22923
sg8
(lp22924
(dp22925
g11
(lp22926
sg13
Nsg15
I5
sass(g1696
g21465
g22894
I5
tp22927
(dp22928
g6
VReadList[str]
p22929
sg8
(lp22930
(dp22931
g11
(lp22932
sg13
V\u005cleft\u005c{\u005ctext{10 x + 15 y ${}^{\u005cwedge}$ 2},\u005ctext{3 Sin[z]}\u005cright\u005c}
p22933
sg15
I6
sass(g1696
g21465
VWriteString
p22934
I0
tp22935
(dp22936
g6
Vstr = OpenWrite[];
p22937
sg8
(lp22938
(dp22939
g11
(lp22940
sg13
Nsg15
I1
sass(g1696
g21465
g22934
I1
tp22941
(dp22942
g6
VWriteString[str, "This is a test 1"]
p22943
sg8
(lp22944
(dp22945
g11
(lp22946
sg13
Nsg15
I2
sass(g1696
g21465
g22934
I2
tp22947
(dp22948
g6
VWriteString[str, "This is also a test 2"]
p22949
sg8
(lp22950
(dp22951
g11
(lp22952
sg13
Nsg15
I3
sass(g1696
g21465
g22934
I3
tp22953
(dp22954
g6
VClose[str]
p22955
sg8
(lp22956
(dp22957
g11
(lp22958
sg13
V\u005ctext{/tmp/tmpmuvpmo2j}
p22959
sg15
I4
sass(g1696
g21465
g22934
I4
tp22960
(dp22961
g6
VFilePrint[%]
p22962
sg8
(lp22963
(dp22964
g11
(lp22965
(dp22966
g149
I00
sg156
VThis is a test 1This is also a test 2
p22967
sasg13
Nsg15
I5
sass(g1696
g21465
g22934
I5
tp22968
(dp22969
g6
Vstr = OpenWrite[];
p22970
sg8
(lp22971
(dp22972
g11
(lp22973
sg13
Nsg15
I6
sass(g1696
g21465
g22934
I6
tp22974
(dp22975
g6
VWriteString[str, "This is a test 1", "This is also a test 2"]
p22976
sg8
(lp22977
(dp22978
g11
(lp22979
sg13
Nsg15
I7
sass(g1696
g21465
g22934
I7
tp22980
(dp22981
g6
VClose[str]
p22982
sg8
(lp22983
(dp22984
g11
(lp22985
sg13
V\u005ctext{/tmp/tmp6i43e84d}
p22986
sg15
I8
sass(g1696
g21465
g22934
I8
tp22987
(dp22988
g6
VFilePrint[%]
p22989
sg8
(lp22990
(dp22991
g11
(lp22992
(dp22993
g149
I00
sg156
VThis is a test 1This is also a test 2
p22994
sasg13
Nsg15
I9
sass(g1696
VImporting and Exporting
p22995
VSystem`Convert`B64Dump`B64Decode
p22996
I0
tp22997
(dp22998
g6
VSystem`Convert`B64Dump`B64Decode["R!="]
p22999
sg8
(lp23000
(dp23001
g11
(lp23002
(dp23003
g149
I01
sg150
VSystem`Convert`B64Dump`B64Decode
p23004
sg152
Vb64invalidstr
p23005
sg154
VSystem`Convert`B64Dump`B64Decode::b64invalidstr
p23006
sg156
VString "R!=" is not a valid b64 encoded string.
p23007
sasg13
V\u005ctext{\u005c$Failed}
p23008
sg15
I1
sass(g1696
g22995
VSystem`Convert`B64Dump`B64Encode
p23009
I0
tp23010
(dp23011
g6
VSystem`Convert`B64Dump`B64Encode["Hello world"]
p23012
sg8
(lp23013
(dp23014
g11
(lp23015
sg13
V\u005ctext{SGVsbG8gd29ybGQ=}
p23016
sg15
I1
sass(g1696
g22995
g23009
I1
tp23017
(dp23018
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23019
sg8
(lp23020
(dp23021
g11
(lp23022
sg13
V\u005ctext{Hello world}
p23023
sg15
I2
sass(g1696
g22995
g23009
I2
tp23024
(dp23025
g6
VSystem`Convert`B64Dump`B64Encode[Integrate[f[x],{x,0,2}]]
p23026
sg8
(lp23027
(dp23028
g11
(lp23029
sg13
V\u005ctext{SW50ZWdyYXRlW2ZbeF0sIHt4LCAwLCAyfV0=}
p23030
sg15
I3
sass(g1696
g22995
g23009
I3
tp23031
(dp23032
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23033
sg8
(lp23034
(dp23035
g11
(lp23036
sg13
V\u005ctext{Integrate[f[x], \u005c{x, 0, 2\u005c}]}
p23037
sg15
I4
sass(g1696
g22995
g23009
I4
tp23038
(dp23039
g6
VSystem`Convert`B64Dump`B64Encode["\u222b f \uf74c x"]
p23040
sg8
(lp23041
(dp23042
g11
(lp23043
sg13
V\u005ctext{4oirIGYg752MIHg=}
p23044
sg15
I5
sass(g1696
g22995
g23009
I5
tp23045
(dp23046
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23047
sg8
(lp23048
(dp23049
g11
(lp23050
sg13
V\u005ctext{\u222b f \u005c, d x}
p23051
sg15
I6
sass(g1696
g22995
V$ExportFormats
p23052
I0
tp23053
(dp23054
g6
V$ExportFormats
p23055
sg8
(lp23056
(dp23057
g11
(lp23058
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}
p23059
sg15
I1
sass(g1696
g22995
VExportString
p23060
I0
tp23061
(dp23062
g6
VExportString[{{1,2,3,4},{3},{2},{4}}, "CSV"]
p23063
sg8
(lp23064
(dp23065
g11
(lp23066
sg13
V\u005ctext{1,2,3,4\u005cnewline\u000a3,\u005cnewline\u000a2,\u005cnewline\u000a4,}
p23067
sg15
I1
sass(g1696
g22995
g23060
I1
tp23068
(dp23069
g6
VExportString[{1,2,3,4}, "CSV"]
p23070
sg8
(lp23071
(dp23072
g11
(lp23073
sg13
V\u005ctext{1,\u005cnewline\u000a2,\u005cnewline\u000a3,\u005cnewline\u000a4,}
p23074
sg15
I2
sass(g1696
g22995
g23060
I2
tp23075
(dp23076
g6
VExportString[Integrate[f[x],{x,0,2}], "SVG"]
p23077
sg8
(lp23078
(dp23079
g11
(lp23080
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>}
p23081
sg15
I3
sass(g1696
g22995
VFileFormat
p23082
I0
tp23083
(dp23084
g6
VFileFormat["ExampleData/sunflowers.jpg"]
p23085
sg8
(lp23086
(dp23087
g11
(lp23088
sg13
V\u005ctext{JPEG}
p23089
sg15
I1
sass(g1696
g22995
g23082
I1
tp23090
(dp23091
g6
VFileFormat["ExampleData/EinsteinSzilLetter.txt"]
p23092
sg8
(lp23093
(dp23094
g11
(lp23095
sg13
V\u005ctext{Text}
p23096
sg15
I2
sass(g1696
g22995
g23082
I2
tp23097
(dp23098
g6
VFileFormat["ExampleData/lena.tif"]
p23099
sg8
(lp23100
(dp23101
g11
(lp23102
sg13
V\u005ctext{TIFF}
p23103
sg15
I3
sass(g1696
g22995
g23082
I9
tp23104
(dp23105
g6
VFileFormat["ExampleData/benzene.xyz"]
p23106
sg8
(lp23107
(dp23108
g11
(lp23109
sg13
V\u005ctext{XYZ}
p23110
sg15
I4
sass(g1696
g22995
VImport
p23111
I6
tp23112
(dp23113
g6
VImport["ExampleData/ExampleData.txt", "Elements"]
p23114
sg8
(lp23115
(dp23116
g11
(lp23117
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Lines},\u005ctext{Plaintext},\u005ctext{String},\u005ctext{Words}\u005cright\u005c}
p23118
sg15
I1
sass(g1696
g22995
g23111
I7
tp23119
(dp23120
g6
VImport["ExampleData/ExampleData.txt", "Lines"]
p23121
sg8
(lp23122
(dp23123
g11
(lp23124
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}
p23125
sg15
I2
sass(g1696
g22995
g23111
I10
tp23126
(dp23127
g6
VImport["ExampleData/colors.json"]
p23128
sg8
(lp23129
(dp23130
g11
(lp23131
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}
p23132
sg15
I3
sass(g1696
g22995
V$ImportFormats
p23133
I0
tp23134
(dp23135
g6
V$ImportFormats
p23136
sg8
(lp23137
(dp23138
g11
(lp23139
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}
p23140
sg15
I1
sass(g1696
g22995
VImportString
p23141
I7
tp23142
(dp23143
g6
Vstr = "Hello!\u005cn    This is a testing text\u005cn";
p23144
sg8
(lp23145
(dp23146
g11
(lp23147
sg13
Nsg15
I1
sass(g1696
g22995
g23141
I8
tp23148
(dp23149
g6
VImportString[str, "Elements"]
p23150
sg8
(lp23151
(dp23152
g11
(lp23153
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Lines},\u005ctext{Plaintext},\u005ctext{String},\u005ctext{Words}\u005cright\u005c}
p23154
sg15
I2
sass(g1696
g22995
g23141
I9
tp23155
(dp23156
g6
VImportString[str, "Lines"]
p23157
sg8
(lp23158
(dp23159
g11
(lp23160
sg13
V\u005cleft\u005c{\u005ctext{Hello!},\u005ctext{    This is a testing text}\u005cright\u005c}
p23161
sg15
I3
sass(g1696
g22995
VImportExport`RegisterExport
p23162
I0
tp23163
(dp23164
g6
VExampleExporter1[filename_, data_, opts___] := Module[{strm = OpenWrite[filename], char = data}, WriteString[strm, char]; Close[strm]]
p23165
sg8
(lp23166
(dp23167
g11
(lp23168
sg13
Nsg15
I1
sass(g1696
g22995
g23162
I1
tp23169
(dp23170
g6
VImportExport`RegisterExport["ExampleFormat1", ExampleExporter1]
p23171
sg8
(lp23172
(dp23173
g11
(lp23174
sg13
Nsg15
I2
sass(g1696
g22995
g23162
I2
tp23175
(dp23176
g6
VExport["sample.txt", "Encode this string!", "ExampleFormat1"];
p23177
sg8
(lp23178
(dp23179
g11
(lp23180
sg13
Nsg15
I3
sass(g1696
g22995
g23162
I3
tp23181
(dp23182
g6
VFilePrint["sample.txt"]
p23183
sg8
(lp23184
(dp23185
g11
(lp23186
(dp23187
g149
I00
sg156
VEncode this string!
p23188
sasg13
Nsg15
I4
sass(g1696
g22995
g23162
I5
tp23189
(dp23190
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]]
p23191
sg8
(lp23192
(dp23193
g11
(lp23194
sg13
Nsg15
I5
sass(g1696
g22995
g23162
I6
tp23195
(dp23196
g6
VImportExport`RegisterExport["ExampleFormat2", ExampleExporter2]
p23197
sg8
(lp23198
(dp23199
g11
(lp23200
sg13
Nsg15
I6
sass(g1696
g22995
g23162
I7
tp23201
(dp23202
g6
VExport["sample.txt", "encodethisstring", "ExampleFormat2"];
p23203
sg8
(lp23204
(dp23205
g11
(lp23206
sg13
Nsg15
I7
sass(g1696
g22995
g23162
I8
tp23207
(dp23208
g6
VFilePrint["sample.txt"]
p23209
sg8
(lp23210
(dp23211
g11
(lp23212
(dp23213
g149
I00
sg156
Vrapbqrguvffgevat
p23214
sasg13
Nsg15
I8
sass(g1696
g22995
VImportExport`RegisterImport
p23215
I0
tp23216
(dp23217
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}]
p23218
sg8
(lp23219
(dp23220
g11
(lp23221
sg13
Nsg15
I1
sass(g1696
g22995
g23215
I1
tp23222
(dp23223
g6
VImportExport`RegisterImport["ExampleFormat1", ExampleFormat1Import]
p23224
sg8
(lp23225
(dp23226
g11
(lp23227
sg13
Nsg15
I2
sass(g1696
g22995
g23215
I2
tp23228
(dp23229
g6
VFilePrint["ExampleData/ExampleData.txt"]
p23230
sg8
(lp23231
(dp23232
g11
(lp23233
(dp23234
g149
I00
sg156
VExample File Format
p23235
sa(dp23236
g149
I00
sg156
VCreated by Angus
p23237
sa(dp23238
g149
I00
sg156
V0.629452	0.586355
p23239
sa(dp23240
g149
I00
sg156
V0.711009	0.687453
p23241
sa(dp23242
g149
I00
sg156
V0.246540	0.433973
p23243
sa(dp23244
g149
I00
sg156
V0.926871	0.887255
p23245
sa(dp23246
g149
I00
sg156
V0.825141	0.940900
p23247
sa(dp23248
g149
I00
sg156
V0.847035	0.127464
p23249
sa(dp23250
g149
I00
sg156
V0.054348	0.296494
p23251
sa(dp23252
g149
I00
sg156
V0.838545	0.247025
p23253
sa(dp23254
g149
I00
sg156
V0.838697	0.436220
p23255
sa(dp23256
g149
I00
sg156
V0.309496	0.833591
p23257
sasg13
Nsg15
I3
sass(g1696
g22995
g23215
I3
tp23258
(dp23259
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat1", "Elements"}]
p23260
sg8
(lp23261
(dp23262
g11
(lp23263
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Header}\u005cright\u005c}
p23264
sg15
I4
sass(g1696
g22995
g23215
I4
tp23265
(dp23266
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat1", "Header"}]
p23267
sg8
(lp23268
(dp23269
g11
(lp23270
sg13
V\u005cleft\u005c{\u005ctext{Example File Format},\u005ctext{Created by Angus}\u005cright\u005c}
p23271
sg15
I5
sass(g1696
g22995
g23215
I5
tp23272
(dp23273
g6
VExampleFormat2DefaultImport[filename_String] := Module[{stream, head}, stream = OpenRead[filename]; head = ReadList[stream, String, 2]; Close[stream]; {"Header" -> head}]
p23274
sg8
(lp23275
(dp23276
g11
(lp23277
sg13
Nsg15
I6
sass(g1696
g22995
g23215
I6
tp23278
(dp23279
g6
VExampleFormat2DataImport[filename_String] := Module[{stream, data}, stream = OpenRead[filename]; Skip[stream, String, 2]; data = Partition[ReadList[stream, Number], 2]; Close[stream]; {"Data" -> data}]
p23280
sg8
(lp23281
(dp23282
g11
(lp23283
sg13
Nsg15
I7
sass(g1696
g22995
g23215
I7
tp23284
(dp23285
g6
VImportExport`RegisterImport["ExampleFormat2", {"Data" :> ExampleFormat2DataImport, ExampleFormat2DefaultImport}]
p23286
sg8
(lp23287
(dp23288
g11
(lp23289
sg13
Nsg15
I8
sass(g1696
g22995
g23215
I8
tp23290
(dp23291
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Elements"}]
p23292
sg8
(lp23293
(dp23294
g11
(lp23295
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Header}\u005cright\u005c}
p23296
sg15
I9
sass(g1696
g22995
g23215
I9
tp23297
(dp23298
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Header"}]
p23299
sg8
(lp23300
(dp23301
g11
(lp23302
sg13
V\u005cleft\u005c{\u005ctext{Example File Format},\u005ctext{Created by Angus}\u005cright\u005c}
p23303
sg15
I10
sass(g1696
g22995
g23215
I10
tp23304
(dp23305
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Data"}] // Grid
p23306
sg8
(lp23307
(dp23308
g11
(lp23309
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}
p23310
sg15
I11
sass.