(dp0
(VManual
p1
VLanguage Tutorials
p2
VBasic calculations
p3
L0L
tp4
(dp5
Vquery
p6
V1 + 2
p7
sVresults
p8
(lp9
(dp10
Vout
p11
(lp12
sVresult
p13
V3
p14
sVline
p15
L1L
sass(g1
g2
g3
L1L
tp16
(dp17
g6
V1 - 2 * (3 + 5) / 4
p18
sg8
(lp19
(dp20
g11
(lp21
sg13
V-3
p22
sg15
L2L
sass(g1
g2
g3
L2L
tp23
(dp24
g6
V1 - 2 (3 + 5) / 4
p25
sg8
(lp26
(dp27
g11
(lp28
sg13
V-3
p29
sg15
L3L
sass(g1
g2
g3
L3L
tp30
(dp31
g6
V2 4
p32
sg8
(lp33
(dp34
g11
(lp35
sg13
V8
p36
sg15
L4L
sass(g1
g2
g3
L4L
tp37
(dp38
g6
V3 ^ 4
p39
sg8
(lp40
(dp41
g11
(lp42
sg13
V81
p43
sg15
L5L
sass(g1
g2
g3
L5L
tp44
(dp45
g6
V6 / 4
p46
sg8
(lp47
(dp48
g11
(lp49
sg13
V\u005cfrac{3}{2}
p50
sg15
L6L
sass(g1
g2
g3
L6L
tp51
(dp52
g6
VN[6 / 4]
p53
sg8
(lp54
(dp55
g11
(lp56
sg13
V1.5
p57
sg15
L7L
sass(g1
g2
g3
L7L
tp58
(dp59
g6
VLog[E]
p60
sg8
(lp61
(dp62
g11
(lp63
sg13
V1
p64
sg15
L8L
sass(g1
g2
g3
L8L
tp65
(dp66
g6
VSin[Pi]
p67
sg8
(lp68
(dp69
g11
(lp70
sg13
V0
p71
sg15
L9L
sass(g1
g2
g3
L9L
tp72
(dp73
g6
VCos[0.5]
p74
sg8
(lp75
(dp76
g11
(lp77
sg13
V0.877583
p78
sg15
L10L
sass(g1
g2
g3
L10L
tp79
(dp80
g6
VSqrt[-4]
p81
sg8
(lp82
(dp83
g11
(lp84
sg13
V2 I
p85
sg15
L11L
sass(g1
g2
g3
L11L
tp86
(dp87
g6
VI ^ 2
p88
sg8
(lp89
(dp90
g11
(lp91
sg13
V-1
p92
sg15
L12L
sass(g1
g2
g3
L12L
tp93
(dp94
g6
V(3 + 2 I) ^ 4
p95
sg8
(lp96
(dp97
g11
(lp98
sg13
V-119+120 I
p99
sg15
L13L
sass(g1
g2
g3
L13L
tp100
(dp101
g6
V(3 + 2 I) ^ (2.5 - I)
p102
sg8
(lp103
(dp104
g11
(lp105
sg13
V43.663+8.28556 I
p106
sg15
L14L
sass(g1
g2
g3
L14L
tp107
(dp108
g6
VTan[I + 0.5]
p109
sg8
(lp110
(dp111
g11
(lp112
sg13
V0.195577+0.842966 I
p113
sg15
L15L
sass(g1
g2
g3
L15L
tp114
(dp115
g6
VAbs[-3]
p116
sg8
(lp117
(dp118
g11
(lp119
sg13
V3
p120
sg15
L16L
sass(g1
g2
g3
L16L
tp121
(dp122
g6
VAbs[3 + 4 I]
p123
sg8
(lp124
(dp125
g11
(lp126
sg13
V5
p127
sg15
L17L
sass(g1
g2
g3
L17L
tp128
(dp129
g6
V100!
p130
sg8
(lp131
(dp132
g11
(lp133
sg13
V93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
p134
sg15
L18L
sass(g1
g2
g3
L18L
tp135
(dp136
g6
VN[Pi, 100]
p137
sg8
(lp138
(dp139
g11
(lp140
sg13
V3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068
p141
sg15
L19L
sass(g1
g2
g3
L19L
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
L20L
sass(g1
g2
g3
L20L
tp159
(dp160
g6
VInfinity + 2 Infinity
p161
sg8
(lp162
(dp163
g11
(lp164
sg13
V\u005cinfty 
p165
sg15
L21L
sass(g1
g2
g3
L21L
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
L22L
sass(g1
g2
g3
L22L
tp178
(dp179
g6
V3 + 4
p180
sg8
(lp181
(dp182
g11
(lp183
sg13
V7
p184
sg15
L23L
sass(g1
g2
g3
L23L
tp185
(dp186
g6
V% ^ 2
p187
sg8
(lp188
(dp189
g11
(lp190
sg13
V49
p191
sg15
L24L
sass(g1
g2
VSymbols and Assignments
p192
L0L
tp193
(dp194
g6
Vx
p195
sg8
(lp196
(dp197
g11
(lp198
sg13
g195
sg15
L1L
sass(g1
g2
g192
L1L
tp199
(dp200
g6
Vx + 2 x
p201
sg8
(lp202
(dp203
g11
(lp204
sg13
V3 x
p205
sg15
L2L
sass(g1
g2
g192
L2L
tp206
(dp207
g6
ViAm1Symbol ^ 2
p208
sg8
(lp209
(dp210
g11
(lp211
sg13
V\u005ctext{iAm1Symbol}^2
p212
sg15
L3L
sass(g1
g2
g192
L3L
tp213
(dp214
g6
Va = 2
p215
sg8
(lp216
(dp217
g11
(lp218
sg13
V2
p219
sg15
L4L
sass(g1
g2
g192
L4L
tp220
(dp221
g6
Va ^ 3
p222
sg8
(lp223
(dp224
g11
(lp225
sg13
V8
p226
sg15
L5L
sass(g1
g2
g192
L5L
tp227
(dp228
g6
Va = 4
p229
sg8
(lp230
(dp231
g11
(lp232
sg13
V4
p233
sg15
L6L
sass(g1
g2
g192
L6L
tp234
(dp235
g6
Va ^ 3
p236
sg8
(lp237
(dp238
g11
(lp239
sg13
V64
p240
sg15
L7L
sass(g1
g2
g192
L7L
tp241
(dp242
g6
Va = 4;
p243
sg8
(lp244
(dp245
g11
(lp246
sg13
Nsg15
L8L
sass(g1
g2
g192
L8L
tp247
(dp248
g6
Vb = a;
p249
sg8
(lp250
(dp251
g11
(lp252
sg13
Nsg15
L9L
sass(g1
g2
g192
L9L
tp253
(dp254
g6
Va = 3;
p255
sg8
(lp256
(dp257
g11
(lp258
sg13
Nsg15
L10L
sass(g1
g2
g192
L10L
tp259
(dp260
g6
Vb
p261
sg8
(lp262
(dp263
g11
(lp264
sg13
V4
p265
sg15
L11L
sass(g1
g2
g192
L11L
tp266
(dp267
g6
Vb := a ^ 2
p268
sg8
(lp269
(dp270
g11
(lp271
sg13
Nsg15
L12L
sass(g1
g2
g192
L12L
tp272
(dp273
g6
g261
sg8
(lp274
(dp275
g11
(lp276
sg13
V9
p277
sg15
L13L
sass(g1
g2
g192
L13L
tp278
(dp279
g6
Va = 5;
p280
sg8
(lp281
(dp282
g11
(lp283
sg13
Nsg15
L14L
sass(g1
g2
g192
L14L
tp284
(dp285
g6
g261
sg8
(lp286
(dp287
g11
(lp288
sg13
V25
p289
sg15
L15L
sass(g1
g2
VComparisons and Boolean Logic
p290
L0L
tp291
(dp292
g6
V3 == 3
p293
sg8
(lp294
(dp295
g11
(lp296
sg13
V\u005ctext{True}
p297
sg15
L1L
sass(g1
g2
g290
L1L
tp298
(dp299
g6
V3 == 4
p300
sg8
(lp301
(dp302
g11
(lp303
sg13
V\u005ctext{False}
p304
sg15
L2L
sass(g1
g2
g290
L2L
tp305
(dp306
g6
V3 > 4
p307
sg8
(lp308
(dp309
g11
(lp310
sg13
V\u005ctext{False}
p311
sg15
L3L
sass(g1
g2
g290
L3L
tp312
(dp313
g6
V3 < 4 >= 2 != 1
p314
sg8
(lp315
(dp316
g11
(lp317
sg13
V\u005ctext{True}
p318
sg15
L4L
sass(g1
g2
g290
L4L
tp319
(dp320
g6
V!True
p321
sg8
(lp322
(dp323
g11
(lp324
sg13
V\u005ctext{False}
p325
sg15
L5L
sass(g1
g2
g290
L5L
tp326
(dp327
g6
V!False
p328
sg8
(lp329
(dp330
g11
(lp331
sg13
V\u005ctext{True}
p332
sg15
L6L
sass(g1
g2
g290
L6L
tp333
(dp334
g6
V3 < 4 && 6 > 5
p335
sg8
(lp336
(dp337
g11
(lp338
sg13
V\u005ctext{True}
p339
sg15
L7L
sass(g1
g2
g290
L7L
tp340
(dp341
g6
VTrue && True || False && False
p342
sg8
(lp343
(dp344
g11
(lp345
sg13
V\u005ctext{True}
p346
sg15
L8L
sass(g1
g2
g290
L8L
tp347
(dp348
g6
VTrue && (True || False) && False
p349
sg8
(lp350
(dp351
g11
(lp352
sg13
V\u005ctext{False}
p353
sg15
L9L
sass(g1
g2
VStrings
p354
L0L
tp355
(dp356
g6
V"Hello world!"
p357
sg8
(lp358
(dp359
g11
(lp360
sg13
V\u005ctext{Hello world!}
p361
sg15
L1L
sass(g1
g2
g354
L1L
tp362
(dp363
g6
VInputForm["Hello world!"]
p364
sg8
(lp365
(dp366
g11
(lp367
sg13
V\u005ctext{"Hello world!"}
p368
sg15
L2L
sass(g1
g2
g354
L2L
tp369
(dp370
g6
V"Hello" <> " " <> "world!"
p371
sg8
(lp372
(dp373
g11
(lp374
sg13
V\u005ctext{Hello world!}
p375
sg15
L3L
sass(g1
g2
g354
L3L
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
L4L
sass(g1
g2
g354
L4L
tp388
(dp389
g6
V"Debian" <> ToString[6]
p390
sg8
(lp391
(dp392
g11
(lp393
sg13
V\u005ctext{Debian6}
p394
sg15
L5L
sass(g1
g2
VLists
p395
L0L
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
L1L
sass(g1
g2
g395
L1L
tp403
(dp404
g6
VRange[5]
p405
sg8
(lp406
(dp407
g11
(lp408
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p409
sg15
L2L
sass(g1
g2
g395
L2L
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
L3L
sass(g1
g2
g395
L3L
tp417
(dp418
g6
VConstantArray[x, 4]
p419
sg8
(lp420
(dp421
g11
(lp422
sg13
V\u005cleft\u005c{x,x,x,x\u005cright\u005c}
p423
sg15
L4L
sass(g1
g2
g395
L4L
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
L5L
sass(g1
g2
g395
L5L
tp431
(dp432
g6
VLength[mylist]
p433
sg8
(lp434
(dp435
g11
(lp436
sg13
V4
p437
sg15
L6L
sass(g1
g2
g395
L6L
tp438
(dp439
g6
Vmylist[[3]]
p440
sg8
(lp441
(dp442
g11
(lp443
sg13
Vc
p444
sg15
L7L
sass(g1
g2
g395
L7L
tp445
(dp446
g6
Vmylist[[-3]]
p447
sg8
(lp448
(dp449
g11
(lp450
sg13
g261
sg15
L8L
sass(g1
g2
g395
L8L
tp451
(dp452
g6
Vmymatrix = {{1, 2}, {3, 4}, {5, 6}};
p453
sg8
(lp454
(dp455
g11
(lp456
sg13
Nsg15
L9L
sass(g1
g2
g395
L9L
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
L10L
sass(g1
g2
g395
L10L
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
L11L
sass(g1
g2
g395
L11L
tp471
(dp472
g6
Vmymatrix[[2, 1]]
p473
sg8
(lp474
(dp475
g11
(lp476
sg13
V3
p477
sg15
L12L
sass(g1
g2
g395
L12L
tp478
(dp479
g6
Vmymatrix[[;;, 2]]
p480
sg8
(lp481
(dp482
g11
(lp483
sg13
V\u005cleft\u005c{2,4,6\u005cright\u005c}
p484
sg15
L13L
sass(g1
g2
g395
L13L
tp485
(dp486
g6
VTake[mylist, 3]
p487
sg8
(lp488
(dp489
g11
(lp490
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p491
sg15
L14L
sass(g1
g2
g395
L14L
tp492
(dp493
g6
VTake[mylist, -2]
p494
sg8
(lp495
(dp496
g11
(lp497
sg13
V\u005cleft\u005c{c,d\u005cright\u005c}
p498
sg15
L15L
sass(g1
g2
g395
L15L
tp499
(dp500
g6
VDrop[mylist, 2]
p501
sg8
(lp502
(dp503
g11
(lp504
sg13
V\u005cleft\u005c{c,d\u005cright\u005c}
p505
sg15
L16L
sass(g1
g2
g395
L16L
tp506
(dp507
g6
VFirst[mymatrix]
p508
sg8
(lp509
(dp510
g11
(lp511
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p512
sg15
L17L
sass(g1
g2
g395
L17L
tp513
(dp514
g6
VLast[mylist]
p515
sg8
(lp516
(dp517
g11
(lp518
sg13
Vd
p519
sg15
L18L
sass(g1
g2
g395
L18L
tp520
(dp521
g6
VMost[mylist]
p522
sg8
(lp523
(dp524
g11
(lp525
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p526
sg15
L19L
sass(g1
g2
g395
L19L
tp527
(dp528
g6
VRest[mylist]
p529
sg8
(lp530
(dp531
g11
(lp532
sg13
V\u005cleft\u005c{b,c,d\u005cright\u005c}
p533
sg15
L20L
sass(g1
g2
g395
L20L
tp534
(dp535
g6
V{a, b} = {1, 2};
p536
sg8
(lp537
(dp538
g11
(lp539
sg13
Nsg15
L21L
sass(g1
g2
g395
L21L
tp540
(dp541
g6
Va
p542
sg8
(lp543
(dp544
g11
(lp545
sg13
V1
p546
sg15
L22L
sass(g1
g2
g395
L22L
tp547
(dp548
g6
g261
sg8
(lp549
(dp550
g11
(lp551
sg13
V2
p552
sg15
L23L
sass(g1
g2
g395
L23L
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
L24L
sass(g1
g2
g395
L24L
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
L25L
sass(g1
g2
g395
L25L
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
L26L
sass(g1
g2
VThe Structure of Things
p579
L0L
tp580
(dp581
g6
VFullForm[a + b + c]
p582
sg8
(lp583
(dp584
g11
(lp585
sg13
V\u005ctext{Plus}\u005cleft[a, b, c\u005cright]
p586
sg15
L1L
sass(g1
g2
g579
L1L
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
L2L
sass(g1
g2
g579
L2L
tp594
(dp595
g6
VFullForm[{1, 2, 3}]
p596
sg8
(lp597
(dp598
g11
(lp599
sg13
V\u005ctext{List}\u005cleft[1, 2, 3\u005cright]
p600
sg15
L3L
sass(g1
g2
g579
L3L
tp601
(dp602
g6
VHead[a + b + c]
p603
sg8
(lp604
(dp605
g11
(lp606
sg13
V\u005ctext{Plus}
p607
sg15
L4L
sass(g1
g2
g579
L4L
tp608
(dp609
g6
V(a + b + c)[[2]]
p610
sg8
(lp611
(dp612
g11
(lp613
sg13
g261
sg15
L5L
sass(g1
g2
g579
L5L
tp614
(dp615
g6
V(a + b + c)[[0]]
p616
sg8
(lp617
(dp618
g11
(lp619
sg13
V\u005ctext{Plus}
p620
sg15
L6L
sass(g1
g2
g579
L6L
tp621
(dp622
g6
VApply[g, f[x, y]]
p623
sg8
(lp624
(dp625
g11
(lp626
sg13
Vg\u005cleft[x,y\u005cright]
p627
sg15
L7L
sass(g1
g2
g579
L7L
tp628
(dp629
g6
VApply[Plus, a * b * c]
p630
sg8
(lp631
(dp632
g11
(lp633
sg13
Va+b+c
p634
sg15
L8L
sass(g1
g2
g579
L8L
tp635
(dp636
g6
VTimes @@ {1, 2, 3, 4}
p637
sg8
(lp638
(dp639
g11
(lp640
sg13
V24
p641
sg15
L9L
sass(g1
g2
g579
L9L
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
L10L
sass(g1
g2
g579
L10L
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
L11L
sass(g1
g2
g579
L11L
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
L12L
sass(g1
g2
g579
L12L
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
L13L
sass(g1
g2
g579
L13L
tp670
(dp671
g6
VAtomQ[5]
p672
sg8
(lp673
(dp674
g11
(lp675
sg13
V\u005ctext{True}
p676
sg15
L14L
sass(g1
g2
g579
L14L
tp677
(dp678
g6
VAtomQ[a + b]
p679
sg8
(lp680
(dp681
g11
(lp682
sg13
V\u005ctext{False}
p683
sg15
L15L
sass(g1
g2
g579
L15L
tp684
(dp685
g6
VFullForm[3 / 5]
p686
sg8
(lp687
(dp688
g11
(lp689
sg13
V\u005ctext{Rational}\u005cleft[3, 5\u005cright]
p690
sg15
L16L
sass(g1
g2
g579
L16L
tp691
(dp692
g6
VFullForm[3 + 4 I]
p693
sg8
(lp694
(dp695
g11
(lp696
sg13
V\u005ctext{Complex}\u005cleft[3, 4\u005cright]
p697
sg15
L17L
sass(g1
g2
g579
L17L
tp698
(dp699
g6
Vf @@ Complex[3, 4]
p700
sg8
(lp701
(dp702
g11
(lp703
sg13
V3+4 I
p704
sg15
L18L
sass(g1
g2
g579
L18L
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
L19L
sass(g1
g2
g579
L19L
tp712
(dp713
g6
V3 === 3
p714
sg8
(lp715
(dp716
g11
(lp717
sg13
V\u005ctext{True}
p718
sg15
L20L
sass(g1
g2
g579
L20L
tp719
(dp720
g6
V3 == 3.0
p721
sg8
(lp722
(dp723
g11
(lp724
sg13
V\u005ctext{True}
p725
sg15
L21L
sass(g1
g2
g579
L21L
tp726
(dp727
g6
V3 === 3.0
p728
sg8
(lp729
(dp730
g11
(lp731
sg13
V\u005ctext{False}
p732
sg15
L22L
sass(g1
g2
VFunctions and Patterns
p733
L0L
tp734
(dp735
g6
Vf[x_] := x ^ 2
p736
sg8
(lp737
(dp738
g11
(lp739
sg13
Nsg15
L1L
sass(g1
g2
g733
L1L
tp740
(dp741
g6
Vf[3]
p742
sg8
(lp743
(dp744
g11
(lp745
sg13
V9
p746
sg15
L2L
sass(g1
g2
g733
L2L
tp747
(dp748
g6
Vf[a]
p749
sg8
(lp750
(dp751
g11
(lp752
sg13
Va^2
p753
sg15
L3L
sass(g1
g2
g733
L3L
tp754
(dp755
g6
Vf[1, 2]
p756
sg8
(lp757
(dp758
g11
(lp759
sg13
Vf\u005cleft[1,2\u005cright]
p760
sg15
L4L
sass(g1
g2
g733
L4L
tp761
(dp762
g6
Vg[s___] := Plus[s] ^ 2
p763
sg8
(lp764
(dp765
g11
(lp766
sg13
Nsg15
L5L
sass(g1
g2
g733
L5L
tp767
(dp768
g6
Vg[1, 2, 3]
p769
sg8
(lp770
(dp771
g11
(lp772
sg13
V36
p773
sg15
L6L
sass(g1
g2
g733
L6L
tp774
(dp775
g6
VMatchQ[a + b, x_ + y_]
p776
sg8
(lp777
(dp778
g11
(lp779
sg13
V\u005ctext{True}
p780
sg15
L7L
sass(g1
g2
g733
L7L
tp781
(dp782
g6
VMatchQ[6, _Integer]
p783
sg8
(lp784
(dp785
g11
(lp786
sg13
V\u005ctext{True}
p787
sg15
L8L
sass(g1
g2
g733
L8L
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
L9L
sass(g1
g2
g733
L9L
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
L10L
sass(g1
g2
g733
L10L
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
L11L
sass(g1
g2
g733
L11L
tp809
(dp810
g6
Va :> 1 + 2
p811
sg8
(lp812
(dp813
g11
(lp814
sg13
Va\u005ctext{:>}1+2
p815
sg15
L12L
sass(g1
g2
g733
L12L
tp816
(dp817
g6
Va -> 1 + 2
p818
sg8
(lp819
(dp820
g11
(lp821
sg13
Va->3
p822
sg15
L13L
sass(g1
g2
g733
L13L
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
L14L
sass(g1
g2
g733
L14L
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
L15L
sass(g1
g2
g733
L15L
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
L16L
sass(g1
g2
g733
L16L
tp844
(dp845
g6
VReplaceAll[{a, b, c}, {___, x__, ___} -> {x}]
p846
sg8
(lp847
(dp848
g11
(lp849
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p850
sg15
L17L
sass(g1
g2
g733
L17L
tp851
(dp852
g6
Vh = # ^ 2 &;
p853
sg8
(lp854
(dp855
g11
(lp856
sg13
Nsg15
L18L
sass(g1
g2
g733
L18L
tp857
(dp858
g6
Vh[3]
p859
sg8
(lp860
(dp861
g11
(lp862
sg13
V9
p863
sg15
L19L
sass(g1
g2
g733
L19L
tp864
(dp865
g6
Vsum = #1 + #2 &;
p866
sg8
(lp867
(dp868
g11
(lp869
sg13
Nsg15
L20L
sass(g1
g2
g733
L20L
tp870
(dp871
g6
Vsum[4, 6]
p872
sg8
(lp873
(dp874
g11
(lp875
sg13
V10
p876
sg15
L21L
sass(g1
g2
g733
L21L
tp877
(dp878
g6
Vprod = Function[{x, y}, x * y];
p879
sg8
(lp880
(dp881
g11
(lp882
sg13
Nsg15
L22L
sass(g1
g2
g733
L22L
tp883
(dp884
g6
Vprod[4, 6]
p885
sg8
(lp886
(dp887
g11
(lp888
sg13
V24
p889
sg15
L23L
sass(g1
g2
g733
L23L
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
L24L
sass(g1
g2
g733
L24L
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
L25L
sass(g1
g2
g733
L25L
tp904
(dp905
g6
Vh @ 3
p906
sg8
(lp907
(dp908
g11
(lp909
sg13
V9
p910
sg15
L26L
sass(g1
g2
g733
L26L
tp911
(dp912
g6
V3 // h
p913
sg8
(lp914
(dp915
g11
(lp916
sg13
V9
p917
sg15
L27L
sass(g1
g2
VControl Statements
p918
L0L
tp919
(dp920
g6
VIf[2 < 3, a, b]
p921
sg8
(lp922
(dp923
g11
(lp924
sg13
g542
sg15
L1L
sass(g1
g2
g918
L1L
tp925
(dp926
g6
Vx = 3; Which[x < 2, a, x > 4, b, x < 5, c]
p927
sg8
(lp928
(dp929
g11
(lp930
sg13
g444
sg15
L2L
sass(g1
g2
g918
L2L
tp931
(dp932
g6
V1; 2; 3
p933
sg8
(lp934
(dp935
g11
(lp936
sg13
V3
p937
sg15
L3L
sass(g1
g2
g918
L3L
tp938
(dp939
g6
V1; 2; 3;
p940
sg8
(lp941
(dp942
g11
(lp943
sg13
Nsg15
L4L
sass(g1
g2
g918
L4L
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
L5L
sass(g1
g2
VScoping
p956
L0L
tp957
(dp958
g6
Vt = 3;
p959
sg8
(lp960
(dp961
g11
(lp962
sg13
Nsg15
L1L
sass(g1
g2
g956
L1L
tp963
(dp964
g6
VModule[{t}, t = 2]
p965
sg8
(lp966
(dp967
g11
(lp968
sg13
V2
p969
sg15
L2L
sass(g1
g2
g956
L2L
tp970
(dp971
g6
VBlock[{t}, t = 2]
p972
sg8
(lp973
(dp974
g11
(lp975
sg13
V2
p976
sg15
L3L
sass(g1
g2
g956
L3L
tp977
(dp978
g6
Vt
p979
sg8
(lp980
(dp981
g11
(lp982
sg13
V3
p983
sg15
L4L
sass(g1
g2
g956
L4L
tp984
(dp985
g6
Vy = x ^ 3;
p986
sg8
(lp987
(dp988
g11
(lp989
sg13
Nsg15
L5L
sass(g1
g2
g956
L5L
tp990
(dp991
g6
VModule[{x = 2}, x * y]
p992
sg8
(lp993
(dp994
g11
(lp995
sg13
V2 x^3
p996
sg15
L6L
sass(g1
g2
g956
L6L
tp997
(dp998
g6
VBlock[{x = 2}, x * y]
p999
sg8
(lp1000
(dp1001
g11
(lp1002
sg13
V16
p1003
sg15
L7L
sass(g1
g2
g956
L7L
tp1004
(dp1005
g6
Vexpr = x ^ 2 + x;
p1006
sg8
(lp1007
(dp1008
g11
(lp1009
sg13
Nsg15
L8L
sass(g1
g2
g956
L8L
tp1010
(dp1011
g6
VBlock[{x = 3}, expr]
p1012
sg8
(lp1013
(dp1014
g11
(lp1015
sg13
V12
p1016
sg15
L9L
sass(g1
g2
g956
L9L
tp1017
(dp1018
g6
g195
sg8
(lp1019
(dp1020
g11
(lp1021
sg13
g195
sg15
L10L
sass(g1
g2
g956
L10L
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
L11L
sass(g1
g2
g956
L11L
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
L12L
sass(g1
g2
g956
L12L
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
L13L
sass(g1
g2
g956
L13L
tp1052
(dp1053
g6
Vfac[10]
p1054
sg8
(lp1055
(dp1056
g11
(lp1057
sg13
V3628800
p1058
sg15
L14L
sass(g1
g2
g956
L14L
tp1059
(dp1060
g6
V10!
p1061
sg8
(lp1062
(dp1063
g11
(lp1064
sg13
V3628800
p1065
sg15
L15L
sass(g1
g2
VFormatting Output
p1066
L0L
tp1067
(dp1068
g6
VFormat[x] = "y";
p1069
sg8
(lp1070
(dp1071
g11
(lp1072
sg13
Nsg15
L1L
sass(g1
g2
g1066
L1L
tp1073
(dp1074
g6
g195
sg8
(lp1075
(dp1076
g11
(lp1077
sg13
V\u005ctext{y}
p1078
sg15
L2L
sass(g1
g2
g1066
L2L
tp1079
(dp1080
g6
Vx // InputForm
p1081
sg8
(lp1082
(dp1083
g11
(lp1084
sg13
g195
sg15
L3L
sass(g1
g2
g1066
L3L
tp1085
(dp1086
g6
VFormat[x, TeXForm] = "z";
p1087
sg8
(lp1088
(dp1089
g11
(lp1090
sg13
Nsg15
L4L
sass(g1
g2
g1066
L4L
tp1091
(dp1092
g6
Vx // TeXForm
p1093
sg8
(lp1094
(dp1095
g11
(lp1096
sg13
V\u005ctext{$\u005cbackslash$text\u005c{z\u005c}}
p1097
sg15
L5L
sass(g1
g2
g1066
L5L
tp1098
(dp1099
g6
VFormat[r[args___]] = "<an r object>";
p1100
sg8
(lp1101
(dp1102
g11
(lp1103
sg13
Nsg15
L6L
sass(g1
g2
g1066
L6L
tp1104
(dp1105
g6
Vr[1, 2, 3]
p1106
sg8
(lp1107
(dp1108
g11
(lp1109
sg13
V\u005ctext{<an r object>}
p1110
sg15
L7L
sass(g1
g2
g1066
L7L
tp1111
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g6
VFormat[r[args___]] = Infix[{args}, "~"];
p1113
sg8
(lp1114
(dp1115
g11
(lp1116
sg13
Nsg15
L8L
sass(g1
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g1066
L8L
tp1117
(dp1118
g6
Vr[1, 2, 3]
p1119
sg8
(lp1120
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g11
(lp1122
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V1\u005csim{}2\u005csim{}3
p1123
sg15
L9L
sass(g1
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L9L
tp1124
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VStringForm["`1` and `2`", n, m]
p1126
sg8
(lp1127
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g11
(lp1129
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Vn\u005ctext{ and }m
p1130
sg15
L10L
sass(g1
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L10L
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VGrid[{{a, b}, {c, d}}]
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sg8
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V\u005cbegin{array}{cc} a & b\u005c\u005c c & d\u005cend{array}
p1137
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L11L
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L11L
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VSubscript[a, 1, 2] // TeXForm
p1140
sg8
(lp1141
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g11
(lp1143
sg13
V\u005ctext{a\u005c_\u005c{1,2\u005c}}
p1144
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VMakeBoxes[b, StandardForm] = "c";
p1147
sg8
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g11
(lp1150
sg13
Nsg15
L13L
sass(g1
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L14L
sass(g1
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L14L
tp1156
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Vb // TeXForm
p1158
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(lp1161
sg13
g444
sg15
L15L
sass(g1
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Vb // OutputForm // TeXForm
p1164
sg8
(lp1165
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g11
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g261
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L16L
sass(g1
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VMakeBoxes[b, TeXForm] = "d";
p1170
sg8
(lp1171
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g11
(lp1173
sg13
Nsg15
L17L
sass(g1
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L17L
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Vb // TeXForm
p1176
sg8
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L18L
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L18L
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VMakeBoxes[c, MathMLForm] = "<not closed";
p1182
sg8
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g11
(lp1185
sg13
Nsg15
L19L
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L19L
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Vc // MathMLForm
p1188
sg8
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g11
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sg13
V\u005ctext{<not closed}
p1192
sg15
L20L
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Vc + 1 // MathMLForm
p1195
sg8
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g11
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V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mrow><mn>1</mn> <mo>+</mo> <mi>c</mi></mrow></mstyle></math>}
p1199
sg15
L21L
sass(g1
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VFormat[d, MathMLForm] = "<not closed";
p1202
sg8
(lp1203
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g11
(lp1205
sg13
Nsg15
L22L
sass(g1
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L22L
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Vd // MathMLForm
p1208
sg8
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g11
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sg13
V\u005ctext{<math display="block"><mtext>\u005c&lt;not\u005c&nbsp;closed</mtext></math>}
p1212
sg15
L23L
sass(g1
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L23L
tp1213
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Vd + 1 // MathMLForm
p1215
sg8
(lp1216
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g11
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sg13
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
L24L
sass(g1
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L24L
tp1220
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g6
VMakeBoxes[{items___}, StandardForm] := RowBox[{"[", Sequence @@ Riffle[MakeBoxes /@ {items}, " "], "]"}]
p1222
sg8
(lp1223
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g11
(lp1225
sg13
Nsg15
L25L
sass(g1
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L25L
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V{1, 2, 3}
p1228
sg8
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g11
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sg13
V\u005cleft[1 2 3\u005cright]
p1232
sg15
L26L
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L27L
tp1233
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V[1 2 3]
p1235
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g1066
L28L
tp1237
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VClear[MakeBoxes]
p1239
sg8
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g11
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Nsg15
L27L
sass(g1
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L29L
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g6
VAttributes[MakeBoxes]
p1245
sg8
(lp1246
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g11
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V\u005cleft[\u005ctext{HoldAllComplete} \u005cright]
p1249
sg15
L28L
sass(g1
g2
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L30L
tp1250
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g6
VMakeBoxes[squared[args___], StandardForm] := squared[args] ^ 2
p1252
sg8
(lp1253
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g11
(lp1255
sg13
Nsg15
L29L
sass(g1
g2
g1066
L31L
tp1256
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Vsquared[1, 2]
p1258
sg8
(lp1259
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g11
(lp1261
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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
L30L
sass(g1
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L32L
tp1268
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Vsquared[1, 2] // TeXForm
p1270
sg8
(lp1271
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g11
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g149
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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
L31L
sass(g1
g2
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L33L
tp1278
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g6
VMakeBoxes[squared[args___], StandardForm] := SuperscriptBox[RowBox[{MakeBoxes[squared], "[", RowBox[Riffle[MakeBoxes[#]& /@ {args}, ","]], "]"}], 2]
p1280
sg8
(lp1281
(dp1282
g11
(lp1283
sg13
Nsg15
L32L
sass(g1
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L34L
tp1284
(dp1285
g6
Vsquared[1, 2]
p1286
sg8
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V\u005ctext{squared}\u005cleft[1,2\u005cright]^2
p1290
sg15
L33L
sass(g1
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L36L
tp1291
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VToBoxes[m + n]
p1293
sg8
(lp1294
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g11
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sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{m},\u005ctext{+},\u005ctext{n}\u005cright\u005c}\u005cright]
p1297
sg15
L34L
sass(g1
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VInputForm[%]
p1300
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V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{"m"}, \u005ctext{"+"}, \u005ctext{"n"}\u005cright\u005c}\u005cright]
p1304
sg15
L35L
sass(g1
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VGraphics Introduction Examples
p1305
L0L
tp1306
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g6
VGraphics[{Circle[{0, 0}, 1]}]
p1308
sg8
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g11
(lp1311
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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
L1L
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VGraphics[{Line[{{0, 0}, {0, 1}, {1, 1}, {1, -1}}], Rectangle[{0, 0}, {-1, -1}]}]
p1315
sg8
(lp1316
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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
L2L
sass(g1
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L2L
tp1320
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g6
VGraphics[{Red, Disk[]}]
p1322
sg8
(lp1323
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g11
(lp1325
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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
L3L
sass(g1
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g1305
L3L
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
L4L
sass(g1
g2
g1305
L4L
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
L5L
sass(g1
g2
g1305
L5L
tp1341
(dp1342
g6
VHead[ToBoxes[Graphics[{Circle[]}]]]
p1343
sg8
(lp1344
(dp1345
g11
(lp1346
sg13
V\u005ctext{GraphicsBox}
p1347
sg15
L6L
sass(g1
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V3D Graphics
p1348
L0L
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
L1L
sass(g1
g2
g1348
L1L
tp1356
(dp1357
g6
VGraphics3D[{Orange, Polygon[{{0,0,0}, {1,1,1}, {1,0,0}}]}, Axes->True]
p1358
sg8
(lp1359
(dp1360
g11
(lp1361
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)--(1,1,1)--(1,0,0)--cycle;draw(surface(g), rgb(1, 0.5, 0), nullpen);\u000adraw(((0,0,0)--(1,0,0)), rgb(0, 0, 0)+linewidth(1.5));\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, 0, 0)+linewidth(1.5));\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, 0, 0)+linewidth(1.5));\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));\u000adraw(((0.0,0.0,0.0)--(0.0,0.0,0.05)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(0.0, 0.0, 0.0),S);\u000adraw(((0.2,0.0,0.0)--(0.2,0.0,0.05)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.2",(0.2, 0.0, 0.0),S);\u000adraw(((0.4,0.0,0.0)--(0.4,0.0,0.05)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.4",(0.4, 0.0, 0.0),S);\u000adraw(((0.6000000000000001,0.0,0.0)--(0.6000000000000001,0.0,0.05)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.6",(0.6000000000000001, 0.0, 0.0),S);\u000adraw(((0.8,0.0,0.0)--(0.8,0.0,0.05)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.8",(0.8, 0.0, 0.0),S);\u000adraw(((1.0,0.0,0.0)--(1.0,0.0,0.05)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("1",(1.0, 0.0, 0.0),S);\u000adraw(((0.05,0.0,0.0)--(0.05,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.1,0.0,0.0)--(0.1,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.15000000000000002,0.0,0.0)--(0.15000000000000002,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.25,0.0,0.0)--(0.25,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.30000000000000004,0.0,0.0)--(0.30000000000000004,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.35000000000000003,0.0,0.0)--(0.35000000000000003,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.45,0.0,0.0)--(0.45,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.5,0.0,0.0)--(0.5,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.55,0.0,0.0)--(0.55,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.65,0.0,0.0)--(0.65,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.7000000000000001,0.0,0.0)--(0.7000000000000001,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.75,0.0,0.0)--(0.75,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.8500000000000001,0.0,0.0)--(0.8500000000000001,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.9,0.0,0.0)--(0.9,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.9500000000000001,0.0,0.0)--(0.9500000000000001,0.0,0.025)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,1.0)--(0.0,0.0,0.95)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(0.0, 0.0, 1.0),NW);\u000adraw(((0.0,0.2,1.0)--(0.0,0.2,0.95)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.2",(0.0, 0.2, 1.0),NW);\u000adraw(((0.0,0.4,1.0)--(0.0,0.4,0.95)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.4",(0.0, 0.4, 1.0),NW);\u000adraw(((0.0,0.6000000000000001,1.0)--(0.0,0.6000000000000001,0.95)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.6",(0.0, 0.6000000000000001, 1.0),NW);\u000adraw(((0.0,0.8,1.0)--(0.0,0.8,0.95)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.8",(0.0, 0.8, 1.0),NW);\u000adraw(((0.0,1.0,1.0)--(0.0,1.0,0.95)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("1",(0.0, 1.0, 1.0),NW);\u000adraw(((0.0,0.05,1.0)--(0.0,0.05,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.1,1.0)--(0.0,0.1,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.15000000000000002,1.0)--(0.0,0.15000000000000002,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.25,1.0)--(0.0,0.25,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.30000000000000004,1.0)--(0.0,0.30000000000000004,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.35000000000000003,1.0)--(0.0,0.35000000000000003,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.45,1.0)--(0.0,0.45,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.5,1.0)--(0.0,0.5,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.55,1.0)--(0.0,0.55,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.65,1.0)--(0.0,0.65,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.7000000000000001,1.0)--(0.0,0.7000000000000001,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.75,1.0)--(0.0,0.75,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.8500000000000001,1.0)--(0.0,0.8500000000000001,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.9,1.0)--(0.0,0.9,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.9500000000000001,1.0)--(0.0,0.9500000000000001,0.975)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.0)--(0.0,0.05,0.0)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(0.0, 0.0, 0.0),W);\u000adraw(((0.0,0.0,0.2)--(0.0,0.05,0.2)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.2",(0.0, 0.0, 0.2),W);\u000adraw(((0.0,0.0,0.4)--(0.0,0.05,0.4)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.4",(0.0, 0.0, 0.4),W);\u000adraw(((0.0,0.0,0.6000000000000001)--(0.0,0.05,0.6000000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.6",(0.0, 0.0, 0.6000000000000001),W);\u000adraw(((0.0,0.0,0.8)--(0.0,0.05,0.8)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.8",(0.0, 0.0, 0.8),W);\u000adraw(((0.0,0.0,1.0)--(0.0,0.05,1.0)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("1",(0.0, 0.0, 1.0),W);\u000adraw(((0.0,0.0,0.05)--(0.0,0.025,0.05)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.1)--(0.0,0.025,0.1)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.15000000000000002)--(0.0,0.025,0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.25)--(0.0,0.025,0.25)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.30000000000000004)--(0.0,0.025,0.30000000000000004)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.35000000000000003)--(0.0,0.025,0.35000000000000003)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.45)--(0.0,0.025,0.45)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.5)--(0.0,0.025,0.5)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.55)--(0.0,0.025,0.55)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.65)--(0.0,0.025,0.65)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.7000000000000001)--(0.0,0.025,0.7000000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.75)--(0.0,0.025,0.75)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.8500000000000001)--(0.0,0.025,0.8500000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.9)--(0.0,0.025,0.9)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((0.0,0.0,0.9500000000000001)--(0.0,0.025,0.9500000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p1362
sg15
L2L
sass(g1
g2
g1348
L2L
tp1363
(dp1364
g6
VHead[ToBoxes[Graphics3D[{Polygon[]}]]]
p1365
sg8
(lp1366
(dp1367
g11
(lp1368
sg13
V\u005ctext{Graphics3DBox}
p1369
sg15
L3L
sass(g1
g2
VPlotting Introduction Examples
p1370
L0L
tp1371
(dp1372
g6
VPlot[Sin[x], {x, 0, 2 Pi}]
p1373
sg8
(lp1374
(dp1375
g11
(lp1376
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p1377
sg15
L1L
sass(g1
g2
g1370
L1L
tp1378
(dp1379
g6
VPlot[{Sin[x], Cos[x], x ^ 2}, {x, -1, 1}]
p1380
sg8
(lp1381
(dp1382
g11
(lp1383
sg13
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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
p1384
sg15
L2L
sass(g1
g2
g1370
L2L
tp1385
(dp1386
g6
VDensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p1387
sg8
(lp1388
(dp1389
g11
(lp1390
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
p1391
sg15
L3L
sass(g1
g2
g1370
L3L
tp1392
(dp1393
g6
VDensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}, ColorFunction -> (Blend[{Red, Green, Blue}, #]&)]
p1394
sg8
(lp1395
(dp1396
g11
(lp1397
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000agouraudshade((0,0)--(0,50)--(50,0)--cycle^^(0,50)--(50,0)--(50,50)--cycle^^(0,50)--(0,100)--(50,50)--cycle^^(0,100)--(50,50)--(50,100)--cycle^^(0,100)--(0,150)--(50,100)--cycle^^(0,150)--(50,100)--(50,150)--cycle^^(0,150)--(0,200)--(50,150)--cycle^^(0,200)--(50,150)--(50,200)--cycle^^(0,200)--(0,250)--(50,200)--cycle^^(0,250)--(50,200)--(50,250)--cycle^^(0,250)--(0,300)--(50,250)--cycle^^(0,300)--(50,250)--(50,300)--cycle^^(0,300)--(0,350)--(50,300)--cycle^^(0,350)--(50,300)--(50,350)--cycle^^(50,0)--(50,50)--(100,0)--cycle^^(50,50)--(100,0)--(100,50)--cycle^^(50,50)--(50,100)--(100,50)--cycle^^(50,100)--(100,50)--(100,100)--cycle^^(50,100)--(50,150)--(100,100)--cycle^^(50,150)--(100,100)--(100,150)--cycle^^(50,150)--(50,200)--(100,150)--cycle^^(50,200)--(100,150)--(100,200)--cycle^^(50,200)--(50,250)--(100,200)--cycle^^(50,250)--(100,200)--(100,250)--cycle^^(50,250)--(50,300)--(100,250)--cycle^^(50,300)--(100,250)--(100,300)--cycle^^(50,300)--(50,350)--(100,300)--cycle^^(50,350)--(100,300)--(100,350)--cycle^^(100,0)--(100,50)--(150,0)--cycle^^(100,50)--(150,0)--(150,50)--cycle^^(100,50)--(100,100)--(150,50)--cycle^^(100,100)--(150,50)--(150,100)--cycle^^(100,100)--(100,150)--(150,100)--cycle^^(100,150)--(150,100)--(150,150)--cycle^^(100,150)--(100,200)--(150,150)--cycle^^(100,200)--(150,150)--(150,200)--cycle^^(100,200)--(100,250)--(150,200)--cycle^^(100,250)--(150,200)--(150,250)--cycle^^(100,250)--(100,300)--(150,250)--cycle^^(100,300)--(150,250)--(150,300)--cycle^^(100,300)--(100,350)--(150,300)--cycle^^(100,350)--(150,300)--(150,350)--cycle^^(150,0)--(150,50)--(200,0)--cycle^^(150,50)--(200,0)--(200,50)--cycle^^(150,50)--(150,100)--(200,50)--cycle^^(150,100)--(200,50)--(200,100)--cycle^^(150,100)--(150,150)--(200,100)--cycle^^(150,150)--(200,100)--(200,150)--cycle^^(150,150)--(150,200)--(200,150)--cycle^^(150,200)--(200,150)--(200,200)--cycle^^(150,200)--(150,250)--(200,200)--cycle^^(150,250)--(200,200)--(200,250)--cycle^^(150,250)--(150,300)--(200,250)--cycle^^(150,300)--(200,250)--(200,300)--cycle^^(150,300)--(150,350)--(200,300)--cycle^^(150,350)--(200,300)--(200,350)--cycle^^(200,0)--(250,0)--(250,50)--cycle^^(200,0)--(200,50)--(250,50)--cycle^^(200,50)--(250,50)--(250,100)--cycle^^(200,50)--(200,100)--(250,100)--cycle^^(200,100)--(250,100)--(250,150)--cycle^^(200,100)--(200,150)--(250,150)--cycle^^(200,150)--(250,150)--(250,200)--cycle^^(200,150)--(200,200)--(250,200)--cycle^^(200,200)--(250,200)--(250,250)--cycle^^(200,200)--(200,250)--(250,250)--cycle^^(200,250)--(250,250)--(250,300)--cycle^^(200,250)--(200,300)--(250,300)--cycle^^(200,300)--(250,300)--(250,350)--cycle^^(200,300)--(200,350)--(250,350)--cycle^^(250,0)--(300,0)--(300,50)--cycle^^(250,0)--(250,50)--(300,50)--cycle^^(250,50)--(300,50)--(300,100)--cycle^^(250,50)--(250,100)--(300,100)--cycle^^(250,100)--(300,100)--(300,150)--cycle^^(250,100)--(250,150)--(300,150)--cycle^^(250,150)--(300,150)--(300,200)--cycle^^(250,150)--(250,200)--(300,200)--cycle^^(250,200)--(300,200)--(300,250)--cycle^^(250,200)--(250,250)--(300,250)--cycle^^(250,250)--(300,250)--(300,300)--cycle^^(250,250)--(250,300)--(300,300)--cycle^^(250,300)--(300,300)--(300,350)--cycle^^(250,300)--(250,350)--(300,350)--cycle^^(300,0)--(350,0)--(350,50)--cycle^^(300,0)--(300,50)--(350,50)--cycle^^(300,50)--(350,50)--(350,100)--cycle^^(300,50)--(300,100)--(350,100)--cycle^^(300,100)--(350,100)--(350,150)--cycle^^(300,100)--(300,150)--(350,150)--cycle^^(300,150)--(350,150)--(350,200)--cycle^^(300,150)--(300,200)--(350,200)--cycle^^(300,200)--(350,200)--(350,250)--cycle^^(300,200)--(300,250)--(350,250)--cycle^^(300,250)--(350,250)--(350,300)--cycle^^(300,250)--(300,300)--(350,300)--cycle^^(300,300)--(350,300)--(350,350)--cycle^^(300,300)--(300,350)--(350,350)--cycle, 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((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
p1398
sg15
L4L
sass(g1
g2
g1370
L4L
tp1399
(dp1400
g6
VPlot3D[Exp[x] Cos[y], {x, -2, 1}, {y, -Pi, 2 Pi}]
p1401
sg8
(lp1402
(dp1403
g11
(lp1404
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,-0.07357588823428847)--(-0.6666666666666666,-0.2833333333333333,-0.07357588823428847)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-1",(-0.6666666666666666, -0.3333333333333333, -0.07357588823428847),W);\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.0)--(-0.6666666666666666,-0.2833333333333333,0.0)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(-0.6666666666666666, -0.3333333333333333, 0.0),W);\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.07357588823428847)--(-0.6666666666666666,-0.2833333333333333,0.07357588823428847)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("1",(-0.6666666666666666, -0.3333333333333333, 0.07357588823428847),W);\u000adraw(((-0.6666666666666666,-0.3333333333333333,0.14715177646857694)--(-0.6666666666666666,-0.2833333333333333,0.14715177646857694)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("2",(-0.6666666666666666, -0.3333333333333333, 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
p1405
sg15
L5L
sass(g1
VExamples
p1406
VCurve sketching
p1407
L0L
tp1408
(dp1409
g6
Vf[x_] := 4 x / (x ^ 2 + 3 x + 5)
p1410
sg8
(lp1411
(dp1412
g11
(lp1413
sg13
Nsg15
L1L
sass(g1
g1406
g1407
L1L
tp1414
(dp1415
g6
V{f'[x], f''[x], f'''[x]} // Together
p1416
sg8
(lp1417
(dp1418
g11
(lp1419
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}
p1420
sg15
L2L
sass(g1
g1406
g1407
L2L
tp1421
(dp1422
g6
Vextremes = Solve[f'[x] == 0, x]
p1423
sg8
(lp1424
(dp1425
g11
(lp1426
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-\u005csqrt{5}\u005cright\u005c},\u005cleft\u005c{x->\u005csqrt{5}\u005cright\u005c}\u005cright\u005c}
p1427
sg15
L3L
sass(g1
g1406
g1407
L3L
tp1428
(dp1429
g6
Vf''[x] /. extremes // N
p1430
sg8
(lp1431
(dp1432
g11
(lp1433
sg13
V\u005cleft\u005c{1.65086,-0.064079\u005cright\u005c}
p1434
sg15
L4L
sass(g1
g1406
g1407
L4L
tp1435
(dp1436
g6
Vinflections = Solve[f''[x] == 0, x] // N // Chop
p1437
sg8
(lp1438
(dp1439
g11
(lp1440
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}
p1441
sg15
L5L
sass(g1
g1406
g1407
L5L
tp1442
(dp1443
g6
Vf'''[x] /. inflections
p1444
sg8
(lp1445
(dp1446
g11
(lp1447
sg13
V\u005cleft\u005c{-3.67683,0.694905,0.00671894\u005cright\u005c}
p1448
sg15
L6L
sass(g1
g1406
g1407
L6L
tp1449
(dp1450
g6
VSolve[Denominator[f[x]] == 0, x]
p1451
sg8
(lp1452
(dp1453
g11
(lp1454
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}
p1455
sg15
L7L
sass(g1
g1406
g1407
L7L
tp1456
(dp1457
g6
VLimit[f[x], x -> Infinity]
p1458
sg8
(lp1459
(dp1460
g11
(lp1461
sg13
V0
p1462
sg15
L8L
sass(g1
g1406
g1407
L8L
tp1463
(dp1464
g6
VLimit[f[x], x -> -Infinity]
p1465
sg8
(lp1466
(dp1467
g11
(lp1468
sg13
V0
p1469
sg15
L9L
sass(g1
g1406
g1407
L9L
tp1470
(dp1471
g6
VPlot[f[x], {x, -8, 6}]
p1472
sg8
(lp1473
(dp1474
g11
(lp1475
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, 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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
p1476
sg15
L10L
sass(g1
g1406
VLinear algebra
p1477
L0L
tp1478
(dp1479
g6
VA = {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}};
p1480
sg8
(lp1481
(dp1482
g11
(lp1483
sg13
Nsg15
L1L
sass(g1
g1406
g1477
L1L
tp1484
(dp1485
g6
VMatrixForm[A]
p1486
sg8
(lp1487
(dp1488
g11
(lp1489
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 1 & 0\u005c\u005c 1 & 0 & 1\u005c\u005c 0 & 1 & 1\u005cend{array}\u005cright)
p1490
sg15
L2L
sass(g1
g1406
g1477
L2L
tp1491
(dp1492
g6
VEigenvalues[A]
p1493
sg8
(lp1494
(dp1495
g11
(lp1496
sg13
V\u005cleft\u005c{2,-1,1\u005cright\u005c}
p1497
sg15
L3L
sass(g1
g1406
g1477
L3L
tp1498
(dp1499
g6
VEigenvectors[A]
p1500
sg8
(lp1501
(dp1502
g11
(lp1503
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}
p1504
sg15
L4L
sass(g1
g1406
g1477
L4L
tp1505
(dp1506
g6
VT = Transpose[Eigenvectors[A]]; MatrixForm[T]
p1507
sg8
(lp1508
(dp1509
g11
(lp1510
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 1 & -1\u005c\u005c 1 & -2 & 0\u005c\u005c 1 & 1 & 1\u005cend{array}\u005cright)
p1511
sg15
L5L
sass(g1
g1406
g1477
L5L
tp1512
(dp1513
g6
VInverse[T] . A . T // MatrixForm
p1514
sg8
(lp1515
(dp1516
g11
(lp1517
sg13
V\u005cleft(\u005cbegin{array}{ccc} 2 & 0 & 0\u005c\u005c 0 & -1 & 0\u005c\u005c 0 & 0 & 1\u005cend{array}\u005cright)
p1518
sg15
L6L
sass(g1
g1406
g1477
L6L
tp1519
(dp1520
g6
V% == DiagonalMatrix[Eigenvalues[A]]
p1521
sg8
(lp1522
(dp1523
g11
(lp1524
sg13
V\u005ctext{True}
p1525
sg15
L7L
sass(g1
g1406
g1477
L7L
tp1526
(dp1527
g6
VLinearSolve[A, {1, 2, 3}]
p1528
sg8
(lp1529
(dp1530
g11
(lp1531
sg13
V\u005cleft\u005c{0,1,2\u005cright\u005c}
p1532
sg15
L8L
sass(g1
g1406
g1477
L8L
tp1533
(dp1534
g6
VA . %
p1535
sg8
(lp1536
(dp1537
g11
(lp1538
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p1539
sg15
L9L
sass(g1
g1406
g1477
L9L
tp1540
(dp1541
g6
VNullSpace[A]
p1542
sg8
(lp1543
(dp1544
g11
(lp1545
sg13
V\u005cleft\u005c{\u005cright\u005c}
p1546
sg15
L10L
sass(g1
g1406
g1477
L10L
tp1547
(dp1548
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p1549
sg8
(lp1550
(dp1551
g11
(lp1552
sg13
Nsg15
L11L
sass(g1
g1406
g1477
L11L
tp1553
(dp1554
g6
VMatrixRank[B]
p1555
sg8
(lp1556
(dp1557
g11
(lp1558
sg13
V2
p1559
sg15
L12L
sass(g1
g1406
g1477
L12L
tp1560
(dp1561
g6
Vs = LinearSolve[B, {1, 2, 3}]
p1562
sg8
(lp1563
(dp1564
g11
(lp1565
sg13
V\u005cleft\u005c{-\u005cfrac{1}{3},\u005cfrac{2}{3},0\u005cright\u005c}
p1566
sg15
L13L
sass(g1
g1406
g1477
L13L
tp1567
(dp1568
g6
VNullSpace[B]
p1569
sg8
(lp1570
(dp1571
g11
(lp1572
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2,1\u005cright\u005c}\u005cright\u005c}
p1573
sg15
L14L
sass(g1
g1406
g1477
L14L
tp1574
(dp1575
g6
VB . (RandomInteger[100] * %[[1]] + s)
p1576
sg8
(lp1577
(dp1578
g11
(lp1579
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p1580
sg15
L15L
sass(g1
g1406
VDice
p1581
L0L
tp1582
(dp1583
g6
VDice[1, 6, 4, 4]
p1584
sg8
(lp1585
(dp1586
g11
(lp1587
sg13
V\u005ctext{Dice}\u005cleft[1,6,4,4\u005cright]
p1588
sg15
L1L
sass(g1
g1406
g1581
L1L
tp1589
(dp1590
g6
VSetAttributes[Dice, Orderless]
p1591
sg8
(lp1592
(dp1593
g11
(lp1594
sg13
Nsg15
L2L
sass(g1
g1406
g1581
L2L
tp1595
(dp1596
g6
VDice[1, 6, 4, 4]
p1597
sg8
(lp1598
(dp1599
g11
(lp1600
sg13
V\u005ctext{Dice}\u005cleft[1,4,4,6\u005cright]
p1601
sg15
L3L
sass(g1
g1406
g1581
L3L
tp1602
(dp1603
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]]
p1604
sg8
(lp1605
(dp1606
g11
(lp1607
sg13
Nsg15
L4L
sass(g1
g1406
g1581
L4L
tp1608
(dp1609
g6
VDice[1]
p1610
sg8
(lp1611
(dp1612
g11
(lp1613
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
p1614
sg15
L5L
sass(g1
g1406
g1581
L6L
tp1615
(dp1616
g6
VFormat[Dice[]] := Graphics[{EdgeForm[Black], White, Rectangle[]}, ImageSize -> Tiny]
p1617
sg8
(lp1618
(dp1619
g11
(lp1620
sg13
Nsg15
L6L
sass(g1
g1406
g1581
L7L
tp1621
(dp1622
g6
VDice[]
p1623
sg8
(lp1624
(dp1625
g11
(lp1626
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
p1627
sg15
L7L
sass(g1
g1406
g1581
L8L
tp1628
(dp1629
g6
VFormat[Dice[d___Integer?(1 <= # <= 6 &)]] := Row[Dice /@ {d}]
p1630
sg8
(lp1631
(dp1632
g11
(lp1633
sg13
Nsg15
L8L
sass(g1
g1406
g1581
L9L
tp1634
(dp1635
g6
VDice[1, 6, 4, 4]
p1636
sg8
(lp1637
(dp1638
g11
(lp1639
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
p1640
sg15
L9L
sass(g1
g1406
g1581
L10L
tp1641
(dp1642
g6
VDice[1, 6, 4, 4] // InputForm
p1643
sg8
(lp1644
(dp1645
g11
(lp1646
sg13
V\u005ctext{Dice}\u005cleft[1, 4, 4, 6\u005cright]
p1647
sg15
L10L
sass(g1
g1406
g1581
L11L
tp1648
(dp1649
g6
VDice[a___] + Dice[b___] ^:= Dice[Sequence @@ {a, b}]
p1650
sg8
(lp1651
(dp1652
g11
(lp1653
sg13
Nsg15
L11L
sass(g1
g1406
g1581
L12L
tp1654
(dp1655
g6
VDice[a___] + Dice[b___] := Dice[Sequence @@ {a, b}]
p1656
sg8
(lp1657
(dp1658
g11
(lp1659
(dp1660
g149
I01
sg150
VSetDelayed
p1661
sg152
Vwrite
p1662
sg154
VSetDelayed::write
p1663
sg156
VTag Plus in Dice[a___] + Dice[b___] is Protected.
p1664
sasg13
V\u005ctext{\u005c$Failed}
p1665
sg15
L12L
sass(g1
g1406
g1581
L13L
tp1666
(dp1667
g6
VDice[1, 5] + Dice[3, 2] + Dice[4]
p1668
sg8
(lp1669
(dp1670
g11
(lp1671
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
p1672
sg15
L13L
sass(g1
g1406
g1581
L15L
tp1673
(dp1674
g6
VDiceSum[Dice[d___]] := Plus @@ {d}
p1675
sg8
(lp1676
(dp1677
g11
(lp1678
sg13
Nsg15
L14L
sass(g1
g1406
g1581
L16L
tp1679
(dp1680
g6
VDiceSum @ Dice[1, 2, 5]
p1681
sg8
(lp1682
(dp1683
g11
(lp1684
sg13
V8
p1685
sg15
L15L
sass(g1
g1406
g1581
L17L
tp1686
(dp1687
g6
VTable[{Dice[Sequence @@ d], DiceSum @ Dice[Sequence @@ d]}, {d, {{1, 2}, {2, 2}, {2, 6}}}] // TableForm
p1688
sg8
(lp1689
(dp1690
g11
(lp1691
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}
p1692
sg15
L16L
sass(VReference of Built-in Symbols
p1693
VEvaluation
p1694
VEvaluate
p1695
L0L
tp1696
(dp1697
g6
VSetAttributes[f, HoldAll]
p1698
sg8
(lp1699
(dp1700
g11
(lp1701
sg13
Nsg15
L1L
sass(g1693
g1694
g1695
L1L
tp1702
(dp1703
g6
Vf[1 + 2]
p1704
sg8
(lp1705
(dp1706
g11
(lp1707
sg13
Vf\u005cleft[1+2\u005cright]
p1708
sg15
L2L
sass(g1693
g1694
g1695
L2L
tp1709
(dp1710
g6
Vf[Evaluate[1 + 2]]
p1711
sg8
(lp1712
(dp1713
g11
(lp1714
sg13
Vf\u005cleft[3\u005cright]
p1715
sg15
L3L
sass(g1693
g1694
g1695
L3L
tp1716
(dp1717
g6
VHold[Evaluate[1 + 2]]
p1718
sg8
(lp1719
(dp1720
g11
(lp1721
sg13
V\u005ctext{Hold}\u005cleft[3\u005cright]
p1722
sg15
L4L
sass(g1693
g1694
g1695
L4L
tp1723
(dp1724
g6
VHoldComplete[Evaluate[1 + 2]]
p1725
sg8
(lp1726
(dp1727
g11
(lp1728
sg13
V\u005ctext{HoldComplete}\u005cleft[\u005ctext{Evaluate}\u005cleft[1+2\u005cright]\u005cright]
p1729
sg15
L5L
sass(g1693
g1694
g1695
L5L
tp1730
(dp1731
g6
VEvaluate[Sequence[1, 2]]
p1732
sg8
(lp1733
(dp1734
g11
(lp1735
sg13
V\u005ctext{Sequence}\u005cleft[1,2\u005cright]
p1736
sg15
L6L
sass(g1693
g1694
V$HistoryLength
p1737
L0L
tp1738
(dp1739
g6
V$HistoryLength
p1740
sg8
(lp1741
(dp1742
g11
(lp1743
sg13
V100
p1744
sg15
L1L
sass(g1693
g1694
g1737
L1L
tp1745
(dp1746
g6
V$HistoryLength = 1;
p1747
sg8
(lp1748
(dp1749
g11
(lp1750
sg13
Nsg15
L2L
sass(g1693
g1694
g1737
L2L
tp1751
(dp1752
g6
V42
p1753
sg8
(lp1754
(dp1755
g11
(lp1756
sg13
V42
p1757
sg15
L3L
sass(g1693
g1694
g1737
L3L
tp1758
(dp1759
g6
V%
p1760
sg8
(lp1761
(dp1762
g11
(lp1763
sg13
V42
p1764
sg15
L4L
sass(g1693
g1694
g1737
L4L
tp1765
(dp1766
g6
V%%
p1767
sg8
(lp1768
(dp1769
g11
(lp1770
sg13
V\u005ctext{\u005c%3}
p1771
sg15
L5L
sass(g1693
g1694
g1737
L5L
tp1772
(dp1773
g6
V$HistoryLength = 0;
p1774
sg8
(lp1775
(dp1776
g11
(lp1777
sg13
Nsg15
L6L
sass(g1693
g1694
g1737
L6L
tp1778
(dp1779
g6
V42
p1780
sg8
(lp1781
(dp1782
g11
(lp1783
sg13
V42
p1784
sg15
L7L
sass(g1693
g1694
g1737
L7L
tp1785
(dp1786
g6
g1760
sg8
(lp1787
(dp1788
g11
(lp1789
sg13
V\u005ctext{\u005c%7}
p1790
sg15
L8L
sass(g1693
g1694
VHold
p1791
L0L
tp1792
(dp1793
g6
VAttributes[Hold]
p1794
sg8
(lp1795
(dp1796
g11
(lp1797
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p1798
sg15
L1L
sass(g1693
g1694
VHoldComplete
p1799
L0L
tp1800
(dp1801
g6
VAttributes[HoldComplete]
p1802
sg8
(lp1803
(dp1804
g11
(lp1805
sg13
V\u005cleft\u005c{\u005ctext{HoldAllComplete},\u005ctext{Protected}\u005cright\u005c}
p1806
sg15
L1L
sass(g1693
g1694
VHoldForm
p1807
L0L
tp1808
(dp1809
g6
VHoldForm[1 + 2 + 3]
p1810
sg8
(lp1811
(dp1812
g11
(lp1813
sg13
V1+2+3
p1814
sg15
L1L
sass(g1693
g1694
g1807
L1L
tp1815
(dp1816
g6
VAttributes[HoldForm]
p1817
sg8
(lp1818
(dp1819
g11
(lp1820
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p1821
sg15
L2L
sass(g1693
g1694
VIn
p1822
L0L
tp1823
(dp1824
g6
Vx = 1
p1825
sg8
(lp1826
(dp1827
g11
(lp1828
sg13
V1
p1829
sg15
L1L
sass(g1693
g1694
g1822
L1L
tp1830
(dp1831
g6
Vx = x + 1
p1832
sg8
(lp1833
(dp1834
g11
(lp1835
sg13
V2
p1836
sg15
L2L
sass(g1693
g1694
g1822
L2L
tp1837
(dp1838
g6
VDo[In[2], {3}]
p1839
sg8
(lp1840
(dp1841
g11
(lp1842
sg13
Nsg15
L3L
sass(g1693
g1694
g1822
L3L
tp1843
(dp1844
g6
g195
sg8
(lp1845
(dp1846
g11
(lp1847
sg13
V5
p1848
sg15
L4L
sass(g1693
g1694
g1822
L4L
tp1849
(dp1850
g6
VIn[-1]
p1851
sg8
(lp1852
(dp1853
g11
(lp1854
sg13
V5
p1855
sg15
L5L
sass(g1693
g1694
g1822
L5L
tp1856
(dp1857
g6
VDefinition[In]
p1858
sg8
(lp1859
(dp1860
g11
(lp1861
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}
p1862
sg15
L6L
sass(g1693
g1694
V$Line
p1863
L0L
tp1864
(dp1865
g6
V$Line
p1866
sg8
(lp1867
(dp1868
g11
(lp1869
sg13
V1
p1870
sg15
L1L
sass(g1693
g1694
g1863
L1L
tp1871
(dp1872
g6
V$Line
p1873
sg8
(lp1874
(dp1875
g11
(lp1876
sg13
V2
p1877
sg15
L2L
sass(g1693
g1694
g1863
L2L
tp1878
(dp1879
g6
V$Line = 12;
p1880
sg8
(lp1881
(dp1882
g11
(lp1883
sg13
Nsg15
L3L
sass(g1693
g1694
g1863
L3L
tp1884
(dp1885
g6
V2 * 5
p1886
sg8
(lp1887
(dp1888
g11
(lp1889
sg13
V10
p1890
sg15
L13L
sass(g1693
g1694
g1863
L4L
tp1891
(dp1892
g6
VOut[13]
p1893
sg8
(lp1894
(dp1895
g11
(lp1896
sg13
V10
p1897
sg15
L14L
sass(g1693
g1694
g1863
L5L
tp1898
(dp1899
g6
V$Line = -1;
p1900
sg8
(lp1901
(dp1902
g11
(lp1903
(dp1904
g149
I01
sg150
V$Line
p1905
sg152
Vintnn
p1906
sg154
V$Line::intnn
p1907
sg156
VNon-negative integer expected.
p1908
sasg13
Nsg15
L15L
sass(g1693
g1694
VOut
p1909
L0L
tp1910
(dp1911
g6
V42
p1912
sg8
(lp1913
(dp1914
g11
(lp1915
sg13
V42
p1916
sg15
L1L
sass(g1693
g1694
g1909
L1L
tp1917
(dp1918
g6
g1760
sg8
(lp1919
(dp1920
g11
(lp1921
sg13
V42
p1922
sg15
L2L
sass(g1693
g1694
g1909
L2L
tp1923
(dp1924
g6
V43;
p1925
sg8
(lp1926
(dp1927
g11
(lp1928
sg13
Nsg15
L3L
sass(g1693
g1694
g1909
L3L
tp1929
(dp1930
g6
g1760
sg8
(lp1931
(dp1932
g11
(lp1933
sg13
V43
p1934
sg15
L4L
sass(g1693
g1694
g1909
L4L
tp1935
(dp1936
g6
V44
p1937
sg8
(lp1938
(dp1939
g11
(lp1940
sg13
V44
p1941
sg15
L5L
sass(g1693
g1694
g1909
L5L
tp1942
(dp1943
g6
V%1
p1944
sg8
(lp1945
(dp1946
g11
(lp1947
sg13
V42
p1948
sg15
L6L
sass(g1693
g1694
g1909
L6L
tp1949
(dp1950
g6
V%%
p1951
sg8
(lp1952
(dp1953
g11
(lp1954
sg13
V44
p1955
sg15
L7L
sass(g1693
g1694
g1909
L7L
tp1956
(dp1957
g6
VHold[Out[-1]]
p1958
sg8
(lp1959
(dp1960
g11
(lp1961
sg13
V\u005ctext{Hold}\u005cleft[\u005c%\u005cright]
p1962
sg15
L8L
sass(g1693
g1694
g1909
L8L
tp1963
(dp1964
g6
VHold[%4]
p1965
sg8
(lp1966
(dp1967
g11
(lp1968
sg13
V\u005ctext{Hold}\u005cleft[\u005ctext{\u005c%4}\u005cright]
p1969
sg15
L9L
sass(g1693
g1694
g1909
L9L
tp1970
(dp1971
g6
VOut[0]
p1972
sg8
(lp1973
(dp1974
g11
(lp1975
sg13
V\u005ctext{Out}\u005cleft[0\u005cright]
p1976
sg15
L10L
sass(g1693
g1694
V$RecursionLimit
p1977
L0L
tp1978
(dp1979
g6
Va = a + a
p1980
sg8
(lp1981
(dp1982
g11
(lp1983
(dp1984
g149
I01
sg150
V$RecursionLimit
p1985
sg152
g1030
sg154
V$RecursionLimit::reclim
p1986
sg156
VRecursion depth of 200 exceeded.
p1987
sasg13
V\u005ctext{\u005c$Aborted}
p1988
sg15
L1L
sass(g1693
g1694
g1977
L1L
tp1989
(dp1990
g6
V$RecursionLimit
p1991
sg8
(lp1992
(dp1993
g11
(lp1994
sg13
V200
p1995
sg15
L2L
sass(g1693
g1694
g1977
L2L
tp1996
(dp1997
g6
V$RecursionLimit = x;
p1998
sg8
(lp1999
(dp2000
g11
(lp2001
(dp2002
g149
I01
sg150
V$RecursionLimit
p2003
sg152
Vlimset
p2004
sg154
V$RecursionLimit::limset
p2005
sg156
VCannot set $RecursionLimit to x; value must be an integer between 20 and 512; use the MATHICS_MAX_RECURSION_DEPTH environment variable to allow higher limits.
p2006
sasg13
Nsg15
L3L
sass(g1693
g1694
g1977
L3L
tp2007
(dp2008
g6
V$RecursionLimit = 512
p2009
sg8
(lp2010
(dp2011
g11
(lp2012
sg13
V512
p2013
sg15
L4L
sass(g1693
g1694
g1977
L4L
tp2014
(dp2015
g6
Va = a + a
p2016
sg8
(lp2017
(dp2018
g11
(lp2019
(dp2020
g149
I01
sg150
V$RecursionLimit
p2021
sg152
g1030
sg154
V$RecursionLimit::reclim
p2022
sg156
VRecursion depth of 512 exceeded.
p2023
sasg13
V\u005ctext{\u005c$Aborted}
p2024
sg15
L5L
sass(g1693
g1694
VReleaseHold
p2025
L0L
tp2026
(dp2027
g6
Vx = 3;
p2028
sg8
(lp2029
(dp2030
g11
(lp2031
sg13
Nsg15
L1L
sass(g1693
g1694
g2025
L1L
tp2032
(dp2033
g6
VHold[x]
p2034
sg8
(lp2035
(dp2036
g11
(lp2037
sg13
V\u005ctext{Hold}\u005cleft[x\u005cright]
p2038
sg15
L2L
sass(g1693
g1694
g2025
L2L
tp2039
(dp2040
g6
VReleaseHold[Hold[x]]
p2041
sg8
(lp2042
(dp2043
g11
(lp2044
sg13
V3
p2045
sg15
L3L
sass(g1693
g1694
g2025
L3L
tp2046
(dp2047
g6
VReleaseHold[y]
p2048
sg8
(lp2049
(dp2050
g11
(lp2051
sg13
Vy
p2052
sg15
L4L
sass(g1693
g1694
VSequence
p2053
L0L
tp2054
(dp2055
g6
Vf[x, Sequence[a, b], y]
p2056
sg8
(lp2057
(dp2058
g11
(lp2059
sg13
Vf\u005cleft[x,a,b,y\u005cright]
p2060
sg15
L1L
sass(g1693
g1694
g2053
L1L
tp2061
(dp2062
g6
VAttributes[Set]
p2063
sg8
(lp2064
(dp2065
g11
(lp2066
sg13
V\u005cleft\u005c{\u005ctext{HoldFirst},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p2067
sg15
L2L
sass(g1693
g1694
g2053
L2L
tp2068
(dp2069
g6
Va = Sequence[b, c];
p2070
sg8
(lp2071
(dp2072
g11
(lp2073
sg13
Nsg15
L3L
sass(g1693
g1694
g2053
L3L
tp2074
(dp2075
g6
g542
sg8
(lp2076
(dp2077
g11
(lp2078
sg13
V\u005ctext{Sequence}\u005cleft[b,c\u005cright]
p2079
sg15
L4L
sass(g1693
g1694
g2053
L4L
tp2080
(dp2081
g6
Vlist = {1, 2, 3};
p2082
sg8
(lp2083
(dp2084
g11
(lp2085
sg13
Nsg15
L5L
sass(g1693
g1694
g2053
L5L
tp2086
(dp2087
g6
Vf[Sequence @@ list]
p2088
sg8
(lp2089
(dp2090
g11
(lp2091
sg13
Vf\u005cleft[1,2,3\u005cright]
p2092
sg15
L6L
sass(g1693
g1694
g2053
L6L
tp2093
(dp2094
g6
VHold[a, Sequence[b, c], d]
p2095
sg8
(lp2096
(dp2097
g11
(lp2098
sg13
V\u005ctext{Hold}\u005cleft[a,b,c,d\u005cright]
p2099
sg15
L7L
sass(g1693
g1694
g2053
L7L
tp2100
(dp2101
g6
VHold[{a, Sequence[b, c], d}]
p2102
sg8
(lp2103
(dp2104
g11
(lp2105
sg13
V\u005ctext{Hold}\u005cleft[\u005cleft\u005c{a,\u005ctext{Sequence}\u005cleft[b,c\u005cright],d\u005cright\u005c}\u005cright]
p2106
sg15
L8L
sass(g1693
g1694
VUnevaluated
p2107
L0L
tp2108
(dp2109
g6
VSqrt[Unevaluated[x]]
p2110
sg8
(lp2111
(dp2112
g11
(lp2113
sg13
V\u005csqrt{x}
p2114
sg15
L1L
sass(g1693
g1694
g2107
L1L
tp2115
(dp2116
g6
VLength[Unevaluated[1+2+3+4]]
p2117
sg8
(lp2118
(dp2119
g11
(lp2120
sg13
V4
p2121
sg15
L2L
sass(g1693
g1694
g2107
L2L
tp2122
(dp2123
g6
VAttributes[Unevaluated]
p2124
sg8
(lp2125
(dp2126
g11
(lp2127
sg13
V\u005cleft\u005c{\u005ctext{HoldAllComplete},\u005ctext{Protected}\u005cright\u005c}
p2128
sg15
L3L
sass(g1693
g1694
g2107
L3L
tp2129
(dp2130
g6
Vf[Unevaluated[x]]
p2131
sg8
(lp2132
(dp2133
g11
(lp2134
sg13
Vf\u005cleft[\u005ctext{Unevaluated}\u005cleft[x\u005cright]\u005cright]
p2135
sg15
L4L
sass(g1693
g1694
g2107
L4L
tp2136
(dp2137
g6
VAttributes[f] = {Flat};
p2138
sg8
(lp2139
(dp2140
g11
(lp2141
sg13
Nsg15
L5L
sass(g1693
g1694
g2107
L5L
tp2142
(dp2143
g6
Vf[a, Unevaluated[f[b, c]]]
p2144
sg8
(lp2145
(dp2146
g11
(lp2147
sg13
Vf\u005cleft[a,\u005ctext{Unevaluated}\u005cleft[b\u005cright],\u005ctext{Unevaluated}\u005cleft[c\u005cright]\u005cright]
p2148
sg15
L6L
sass(g1693
g1694
g2107
L6L
tp2149
(dp2150
g6
Vg[a, Sequence[Unevaluated[b], Unevaluated[c]]]
p2151
sg8
(lp2152
(dp2153
g11
(lp2154
sg13
Vg\u005cleft[a,\u005ctext{Unevaluated}\u005cleft[b\u005cright],\u005ctext{Unevaluated}\u005cleft[c\u005cright]\u005cright]
p2155
sg15
L7L
sass(g1693
g1694
g2107
L7L
tp2156
(dp2157
g6
Vg[Unevaluated[Sequence[a, b, c]]]
p2158
sg8
(lp2159
(dp2160
g11
(lp2161
sg13
Vg\u005cleft[\u005ctext{Unevaluated}\u005cleft[\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]\u005cright]\u005cright]
p2162
sg15
L8L
sass(g1693
VControl Statements
p2163
VAbort
p2164
L0L
tp2165
(dp2166
g6
VPrint["a"]; Abort[]; Print["b"]
p2167
sg8
(lp2168
(dp2169
g11
(lp2170
(dp2171
g149
I00
sg156
g542
sasg13
V\u005ctext{\u005c$Aborted}
p2172
sg15
L1L
sass(g1693
g2163
VBreak
p2173
L0L
tp2174
(dp2175
g6
Vn = 0;
p2176
sg8
(lp2177
(dp2178
g11
(lp2179
sg13
Nsg15
L1L
sass(g1693
g2163
g2173
L1L
tp2180
(dp2181
g6
VWhile[True, If[n>10, Break[]]; n=n+1]
p2182
sg8
(lp2183
(dp2184
g11
(lp2185
sg13
Nsg15
L2L
sass(g1693
g2163
g2173
L2L
tp2186
(dp2187
g6
Vn
p2188
sg8
(lp2189
(dp2190
g11
(lp2191
sg13
V11
p2192
sg15
L3L
sass(g1693
g2163
VCompoundExpression
p2193
L0L
tp2194
(dp2195
g6
Va; b; c; d
p2196
sg8
(lp2197
(dp2198
g11
(lp2199
sg13
g519
sg15
L1L
sass(g1693
g2163
g2193
L1L
tp2200
(dp2201
g6
Va;
p2202
sg8
(lp2203
(dp2204
g11
(lp2205
sg13
Nsg15
L2L
sass(g1693
g2163
VContinue
p2206
L0L
tp2207
(dp2208
g6
VFor[i=1, i<=8, i=i+1, If[Mod[i,2] == 0, Continue[]]; Print[i]]
p2209
sg8
(lp2210
(dp2211
g11
(lp2212
(dp2213
g149
I00
sg156
V1
p2214
sa(dp2215
g149
I00
sg156
V3
p2216
sa(dp2217
g149
I00
sg156
V5
p2218
sa(dp2219
g149
I00
sg156
V7
p2220
sasg13
Nsg15
L1L
sass(g1693
g2163
VDo
p2221
L0L
tp2222
(dp2223
g6
VDo[Print[i], {i, 2, 4}]
p2224
sg8
(lp2225
(dp2226
g11
(lp2227
(dp2228
g149
I00
sg156
V2
p2229
sa(dp2230
g149
I00
sg156
V3
p2231
sa(dp2232
g149
I00
sg156
V4
p2233
sasg13
Nsg15
L1L
sass(g1693
g2163
g2221
L1L
tp2234
(dp2235
g6
VDo[Print[{i, j}], {i,1,2}, {j,3,5}]
p2236
sg8
(lp2237
(dp2238
g11
(lp2239
(dp2240
g149
I00
sg156
V{1, 3}
p2241
sa(dp2242
g149
I00
sg156
V{1, 4}
p2243
sa(dp2244
g149
I00
sg156
V{1, 5}
p2245
sa(dp2246
g149
I00
sg156
V{2, 3}
p2247
sa(dp2248
g149
I00
sg156
V{2, 4}
p2249
sa(dp2250
g149
I00
sg156
V{2, 5}
p2251
sasg13
Nsg15
L2L
sass(g1693
g2163
g2221
L2L
tp2252
(dp2253
g6
VDo[If[i > 10, Break[], If[Mod[i, 2] == 0, Continue[]]; Print[i]], {i, 5, 20}]
p2254
sg8
(lp2255
(dp2256
g11
(lp2257
(dp2258
g149
I00
sg156
V5
p2259
sa(dp2260
g149
I00
sg156
V7
p2261
sa(dp2262
g149
I00
sg156
V9
p2263
sasg13
Nsg15
L3L
sass(g1693
g2163
VFixedPoint
p2264
L0L
tp2265
(dp2266
g6
VFixedPoint[Cos, 1.0]
p2267
sg8
(lp2268
(dp2269
g11
(lp2270
sg13
V0.739085
p2271
sg15
L1L
sass(g1693
g2163
g2264
L1L
tp2272
(dp2273
g6
VFixedPoint[#+1 &, 1, 20]
p2274
sg8
(lp2275
(dp2276
g11
(lp2277
sg13
V21
p2278
sg15
L2L
sass(g1693
g2163
VFixedPointList
p2279
L0L
tp2280
(dp2281
g6
VFixedPointList[Cos, 1.0, 4]
p2282
sg8
(lp2283
(dp2284
g11
(lp2285
sg13
V\u005cleft\u005c{1.,0.540302,0.857553,0.65429,0.79348\u005cright\u005c}
p2286
sg15
L1L
sass(g1693
g2163
g2279
L1L
tp2287
(dp2288
g6
Vnewton[n_] := FixedPointList[.5(# + n/#) &, 1.];
p2289
sg8
(lp2290
(dp2291
g11
(lp2292
sg13
Nsg15
L2L
sass(g1693
g2163
g2279
L2L
tp2293
(dp2294
g6
Vnewton[9]
p2295
sg8
(lp2296
(dp2297
g11
(lp2298
sg13
V\u005cleft\u005c{1.,5.,3.4,3.02353,3.00009,3.,3.,3.\u005cright\u005c}
p2299
sg15
L3L
sass(g1693
g2163
g2279
L3L
tp2300
(dp2301
g6
Vcollatz[1] := 1;
p2302
sg8
(lp2303
(dp2304
g11
(lp2305
sg13
Nsg15
L4L
sass(g1693
g2163
g2279
L4L
tp2306
(dp2307
g6
Vcollatz[x_ ? EvenQ] := x / 2;
p2308
sg8
(lp2309
(dp2310
g11
(lp2311
sg13
Nsg15
L5L
sass(g1693
g2163
g2279
L5L
tp2312
(dp2313
g6
Vcollatz[x_] := 3 x + 1;
p2314
sg8
(lp2315
(dp2316
g11
(lp2317
sg13
Nsg15
L6L
sass(g1693
g2163
g2279
L6L
tp2318
(dp2319
g6
Vlist = FixedPointList[collatz, 14]
p2320
sg8
(lp2321
(dp2322
g11
(lp2323
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}
p2324
sg15
L7L
sass(g1693
g2163
g2279
L7L
tp2325
(dp2326
g6
VListLinePlot[list]
p2327
sg8
(lp2328
(dp2329
g11
(lp2330
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
p2331
sg15
L8L
sass(g1693
g2163
VFor
p2332
L0L
tp2333
(dp2334
g6
Vn := 1
p2335
sg8
(lp2336
(dp2337
g11
(lp2338
sg13
Nsg15
L1L
sass(g1693
g2163
g2332
L1L
tp2339
(dp2340
g6
VFor[i=1, i<=10, i=i+1, n = n * i]
p2341
sg8
(lp2342
(dp2343
g11
(lp2344
sg13
Nsg15
L2L
sass(g1693
g2163
g2332
L2L
tp2345
(dp2346
g6
g2188
sg8
(lp2347
(dp2348
g11
(lp2349
sg13
V3628800
p2350
sg15
L3L
sass(g1693
g2163
g2332
L3L
tp2351
(dp2352
g6
Vn == 10!
p2353
sg8
(lp2354
(dp2355
g11
(lp2356
sg13
V\u005ctext{True}
p2357
sg15
L4L
sass(g1693
g2163
VIf
p2358
L0L
tp2359
(dp2360
g6
VIf[1<2, a, b]
p2361
sg8
(lp2362
(dp2363
g11
(lp2364
sg13
g542
sg15
L1L
sass(g1693
g2163
g2358
L1L
tp2365
(dp2366
g6
VIf[1<2, a]
p2367
sg8
(lp2368
(dp2369
g11
(lp2370
sg13
g542
sg15
L2L
sass(g1693
g2163
g2358
L2L
tp2371
(dp2372
g6
VIf[False, a] //FullForm
p2373
sg8
(lp2374
(dp2375
g11
(lp2376
sg13
V\u005ctext{Null}
p2377
sg15
L3L
sass(g1693
g2163
g2358
L3L
tp2378
(dp2379
g6
VIf[a, (*then*) b, (*else*) c];
p2380
sg8
(lp2381
(dp2382
g11
(lp2383
sg13
Nsg15
L4L
sass(g1693
g2163
VInterrupt
p2384
L0L
tp2385
(dp2386
g6
VPrint["a"]; Interrupt[]; Print["b"]
p2387
sg8
(lp2388
(dp2389
g11
(lp2390
(dp2391
g149
I00
sg156
g542
sasg13
V\u005ctext{\u005c$Aborted}
p2392
sg15
L1L
sass(g1693
g2163
VNest
p2393
L0L
tp2394
(dp2395
g6
VNest[f, x, 3]
p2396
sg8
(lp2397
(dp2398
g11
(lp2399
sg13
Vf\u005cleft[f\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005cright]
p2400
sg15
L1L
sass(g1693
g2163
g2393
L1L
tp2401
(dp2402
g6
VNest[(1+#) ^ 2 &, x, 2]
p2403
sg8
(lp2404
(dp2405
g11
(lp2406
sg13
V{\u005cleft(1+\u005cleft(1+x\u005cright)^2\u005cright)}^2
p2407
sg15
L2L
sass(g1693
g2163
VNestList
p2408
L0L
tp2409
(dp2410
g6
VNestList[f, x, 3]
p2411
sg8
(lp2412
(dp2413
g11
(lp2414
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}
p2415
sg15
L1L
sass(g1693
g2163
g2408
L1L
tp2416
(dp2417
g6
VNestList[2 # &, 1, 8]
p2418
sg8
(lp2419
(dp2420
g11
(lp2421
sg13
V\u005cleft\u005c{1,2,4,8,16,32,64,128,256\u005cright\u005c}
p2422
sg15
L2L
sass(g1693
g2163
g2408
L2L
tp2423
(dp2424
g6
Vvertices = {{0,0}, {1,0}, {.5, .5 Sqrt[3]}};
p2425
sg8
(lp2426
(dp2427
g11
(lp2428
sg13
Nsg15
L3L
sass(g1693
g2163
g2408
L3L
tp2429
(dp2430
g6
Vpoints = NestList[.5(vertices[[ RandomInteger[{1,3}] ]] + #) &, {0.,0.}, 2000];
p2431
sg8
(lp2432
(dp2433
g11
(lp2434
sg13
Nsg15
L4L
sass(g1693
g2163
g2408
L4L
tp2435
(dp2436
g6
VGraphics[Point[points], ImageSize->Small]
p2437
sg8
(lp2438
(dp2439
g11
(lp2440
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 2.8865cm);\u000adot((0.0, 0.0), rgb(0, 0, 0));dot((50.039530356585, 86.67100896449054), rgb(0, 0, 0));dot((25.0197651782925, 43.33550448224527), rgb(0, 0, 0));dot((62.54941294573125, 108.33876120561317), rgb(0, 0, 0));dot((131.3537671860356, 54.169380602806584), rgb(0, 0, 0));dot((65.6768835930178, 27.084690301403292), rgb(0, 0, 0));dot((132.9175025096789, 13.542345150701646), rgb(0, 0, 0));dot((116.49828161142445, 93.44218153984136), rgb(0, 0, 0));dot((158.32820151888222, 46.72109076992068), rgb(0, 0, 0));dot((179.24316147261112, 23.36054538496034), rgb(0, 0, 0));dot((89.62158073630556, 11.68027269248017), rgb(0, 0, 0));dot((144.88985108132277, 5.840136346240085), rgb(0, 0, 0));dot((72.44492554066139, 2.9200681731200424), rgb(0, 0, 0));dot((136.3015234835007, 1.4600340865600212), rgb(0, 0, 0));dot((118.19029209833535, 87.40102600777054), rgb(0, 0, 0));dot((159.17420676233766, 43.70051300388527), rgb(0, 0, 0));dot((179.66616409433882, 21.850256501942635), rgb(0, 0, 0));dot((139.8726124037544, 97.59613721546185), rgb(0, 0, 0));dot((170.0153669150472, 48.798068607730926), rgb(0, 0, 0));dot((85.0076834575236, 24.399034303865463), rgb(0, 0, 0));dot((92.5433720853468, 98.87052611642328), rgb(0, 0, 0));dot((146.3507467558434, 49.43526305821164), rgb(0, 0, 0));dot((123.21490373450669, 111.38864049359637), rgb(0, 0, 0));dot((161.68651258042334, 55.694320246798185), rgb(0, 0, 0));dot((180.92231700338166, 27.847160123399092), rgb(0, 0, 0));dot((90.46115850169083, 13.923580061699546), rgb(0, 0, 0));dot((95.27010960743041, 93.63279899534031), rgb(0, 0, 0));dot((97.67458516030021, 133.48740846216072), rgb(0, 0, 0));dot((98.87682293673511, 153.4147131955709), rgb(0, 0, 0));dot((99.47794182495255, 163.37836556227603), rgb(0, 0, 0));dot((99.77850126906128, 168.36019174562855), rgb(0, 0, 0));dot((99.92878099111563, 170.85110483730483), rgb(0, 0, 0));dot((150.04345120872782, 85.42555241865242), rgb(0, 0, 0));dot((75.02172560436391, 42.71277620932621), rgb(0, 0, 0));dot((37.510862802181954, 21.356388104663104), rgb(0, 0, 0));dot((118.83449211426098, 10.678194052331552), rgb(0, 0, 0));dot((109.45677641371549, 92.01010599065631), rgb(0, 0, 0));dot((154.80744892002775, 46.00505299532816), rgb(0, 0, 0));dot((77.40372446001388, 23.00252649766408), rgb(0, 0, 0));dot((38.70186223000694, 11.50126324883204), rgb(0, 0, 0));dot((19.35093111500347, 5.75063162441602), rgb(0, 0, 0));dot((59.714995914086735, 89.54632477669855), rgb(0, 0, 0));dot((129.93655867021337, 44.77316238834928), rgb(0, 0, 0));dot((115.00780969169168, 109.05759015866518), rgb(0, 0, 0));dot((57.50390484584584, 54.52879507933259), rgb(0, 0, 0));dot((128.8310131360929, 27.264397539666295), rgb(0, 0, 0));dot((114.45503692463146, 100.30320773432368), rgb(0, 0, 0));dot((57.22751846231573, 50.15160386716184), rgb(0, 0, 0));dot((28.613759231157864, 25.07580193358092), rgb(0, 0, 0));dot((14.306879615578932, 12.53790096679046), rgb(0, 0, 0));dot((7.153439807789466, 6.26895048339523), rgb(0, 0, 0));dot((103.65578061706474, 3.134475241697615), rgb(0, 0, 0));dot((101.86742066511736, 88.23824658533934), rgb(0, 0, 0));dot((100.97324068914368, 130.7901322571602), rgb(0, 0, 0));dot((50.48662034457184, 65.3950661285801), rgb(0, 0, 0));dot((25.24331017228592, 32.69753306429005), rgb(0, 0, 0));dot((12.62165508614296, 16.348766532145024), rgb(0, 0, 0));dot((6.31082754307148, 8.174383266072512), rgb(0, 0, 0));dot((53.19494412812074, 90.7582005975268), rgb(0, 0, 0));dot((126.67653277723036, 45.3791002987634), rgb(0, 0, 0));dot((113.3777967452002, 109.36055911387223), rgb(0, 0, 0));dot((106.72842872918508, 141.35128852142665), rgb(0, 0, 0));dot((53.36421436459254, 70.67564426071333), rgb(0, 0, 0));dot((26.68210718229627, 35.33782213035666), rgb(0, 0, 0));dot((63.38058394773314, 104.33992002966889), rgb(0, 0, 0));dot((131.76935268703656, 52.169960014834444), rgb(0, 0, 0));dot((115.92420670010327, 112.75598897190775), rgb(0, 0, 0));dot((57.962103350051635, 56.37799448595388), rgb(0, 0, 0));dot((79.02058203161081, 114.86000620746748), rgb(0, 0, 0));dot((139.5893517289754, 57.43000310373374), rgb(0, 0, 0));dot((69.7946758644877, 28.71500155186687), rgb(0, 0, 0));dot((34.89733793224385, 14.357500775933435), rgb(0, 0, 0));dot((17.448668966121925, 7.178750387966717), rgb(0, 0, 0));dot((8.724334483060963, 3.5893751939833587), rgb(0, 0, 0));dot((54.401697598115476, 88.46569656148222), rgb(0, 0, 0));dot((77.24037915564273, 130.90385724523165), rgb(0, 0, 0));dot((38.620189577821364, 65.45192862261582), rgb(0, 0, 0));dot((119.38915550208068, 32.72596431130791), rgb(0, 0, 0));dot((159.77363846421034, 16.362982155653956), rgb(0, 0, 0));dot((79.88681923210517, 8.181491077826978), rgb(0, 0, 0));dot((140.02247032922259, 4.090745538913489), rgb(0, 0, 0));dot((120.0507655211963, 88.71638173394727), rgb(0, 0, 0));dot((110.06491311718314, 131.02919983146415), rgb(0, 0, 0));dot((105.07198691517658, 152.18560888022262), rgb(0, 0, 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94.79808096957173), rgb(0, 0, 0));dot((109.02685798266401, 134.0700494492764), rgb(0, 0, 0));dot((104.55295934791701, 153.70603368912876), rgb(0, 0, 0));dot((152.3555403871285, 76.85301684456438), rgb(0, 0, 0));dot((176.25683090673428, 38.42650842228219), rgb(0, 0, 0));dot((88.12841545336714, 19.213254211141095), rgb(0, 0, 0));dot((44.06420772668357, 9.606627105570547), rgb(0, 0, 0));dot((72.07163421992678, 91.47432251727582), rgb(0, 0, 0));dot((136.11487782313338, 45.73716125863791), rgb(0, 0, 0));dot((118.09696926815168, 109.53958959380951), rgb(0, 0, 0));dot((59.04848463407584, 54.769794796904755), rgb(0, 0, 0));dot((29.52424231703792, 27.384897398452377), rgb(0, 0, 0));dot((14.76212115851896, 13.692448699226189), rgb(0, 0, 0));dot((7.38106057925948, 6.846224349613094), rgb(0, 0, 0));dot((103.76959100279973, 3.423112174806547), rgb(0, 0, 0));dot((101.92432585798488, 88.38256505189382), rgb(0, 0, 0));dot((151.04122364216244, 44.19128252594691), rgb(0, 0, 0));dot((175.59967253425123, 22.095641262973455), rgb(0, 0, 0));dot((87.79983626712561, 11.047820631486728), rgb(0, 0, 0));dot((143.9789788467328, 5.523910315743364), rgb(0, 0, 0));dot((71.9894894233664, 2.761955157871682), rgb(0, 0, 0));dot((35.9947447116832, 1.380977578935841), rgb(0, 0, 0));dot((118.0764330690116, 0.6904887894679205), rgb(0, 0, 0));dot((59.0382165345058, 0.34524439473396024), rgb(0, 0, 0));dot((29.5191082672529, 0.17262219736698012), rgb(0, 0, 0));dot((114.83861484679645, 0.08631109868349006), rgb(0, 0, 0));dot((107.45883777998323, 86.71416451383229), rgb(0, 0, 0));dot((53.729418889991614, 43.357082256916144), rgb(0, 0, 0));dot((26.864709444995807, 21.678541128458072), rgb(0, 0, 0));dot((13.432354722497903, 10.839270564229036), rgb(0, 0, 0));dot((6.716177361248952, 5.419635282114518), rgb(0, 0, 0));dot((3.358088680624476, 2.709817641057259), rgb(0, 0, 0));dot((1.679044340312238, 1.3549088205286295), rgb(0, 0, 0));dot((0.839522170156119, 0.6774544102643147), rgb(0, 0, 0));dot((100.49882179824804, 0.33872720513215737), rgb(0, 0, 0));dot((50.24941089912402, 0.16936360256607869), rgb(0, 0, 0));dot((75.16423580614702, 86.7556907657736), rgb(0, 0, 0));dot((87.6216482596585, 130.04885434737733), rgb(0, 0, 0));dot((43.81082412982925, 65.02442717368866), rgb(0, 0, 0));dot((21.905412064914625, 32.51221358684433), rgb(0, 0, 0));dot((111.03176674562731, 16.256106793422166), rgb(0, 0, 0));dot((55.515883372813654, 8.128053396711083), rgb(0, 0, 0));dot((27.757941686406827, 4.0640266983555415), rgb(0, 0, 0));dot((63.91850119978841, 88.7030223136683), rgb(0, 0, 0));dot((132.0383113130642, 44.35151115683415), rgb(0, 0, 0));dot((166.0982163697021, 22.175755578417075), rgb(0, 0, 0));dot((183.12816889802104, 11.087877789208537), rgb(0, 0, 0));dot((141.60361480559553, 92.2149478590948), rgb(0, 0, 0));dot((120.84133775938277, 132.77848289403795), rgb(0, 0, 0));dot((60.420668879691384, 66.38924144701897), rgb(0, 0, 0));dot((130.28939515301568, 33.19462072350949), rgb(0, 0, 0));dot((65.14469757650784, 16.597310361754744), rgb(0, 0, 0));dot((132.65140950142393, 8.298655180877372), rgb(0, 0, 0));dot((116.36523510729695, 90.82033655492924), rgb(0, 0, 0));dot((58.18261755364848, 45.41016827746462), rgb(0, 0, 0));dot((29.09130877682424, 22.70508413873231), rgb(0, 0, 0));dot((64.58518474499712, 98.0235510338567), rgb(0, 0, 0));dot((132.37165308566856, 49.01177551692835), rgb(0, 0, 0));dot((66.18582654283428, 24.505887758464176), rgb(0, 0, 0));dot((133.17197398458714, 12.252943879232088), rgb(0, 0, 0));dot((166.66504770546356, 6.126471939616044), rgb(0, 0, 0));dot((83.33252385273178, 3.063235969808022), rgb(0, 0, 0));dot((91.7057922829509, 88.20262694939456), rgb(0, 0, 0));dot((45.85289614147545, 44.10131347469728), rgb(0, 0, 0));dot((123.00550878390773, 22.05065673734864), rgb(0, 0, 0));dot((161.58181510512387, 11.02532836867432), rgb(0, 0, 0));dot((180.86996826573193, 5.51266418433716), rgb(0, 0, 0));dot((90.43498413286596, 2.75633209216858), rgb(0, 0, 0));dot((145.296552779603, 1.37816604608429), rgb(0, 0, 0));dot((172.7273371029715, 0.689083023042145), rgb(0, 0, 0));dot((136.40319890807075, 87.01555047601161), rgb(0, 0, 0));dot((118.2411298106204, 130.17878420249636), rgb(0, 0, 0));dot((159.19962561848018, 65.08939210124818), rgb(0, 0, 0));dot((129.6393431658251, 119.21570501511464), rgb(0, 0, 0));dot((114.85920193949755, 146.27886147204785), rgb(0, 0, 0));dot((157.50866168291876, 73.13943073602393), rgb(0, 0, 0));dot((178.83339155462937, 36.56971536801196), rgb(0, 0, 0));dot((89.41669577731469, 18.28485768400598), rgb(0, 0, 0));dot((144.78740860182734, 9.14242884200299), rgb(0, 0, 0));dot((172.47276501408365, 4.571214421001495), rgb(0, 0, 0));dot((136.27591286362681, 88.95661617499128), rgb(0, 0, 0));dot((168.2170171449834, 44.47830808749564), rgb(0, 0, 0));dot((134.1480389290767, 108.91016300823836), rgb(0, 0, 0));dot((117.11354982112336, 141.1260904686097), rgb(0, 0, 0));dot((108.59630526714668, 157.2340541987954), rgb(0, 0, 0));dot((104.33768299015834, 165.28803606388823), rgb(0, 0, 0));dot((52.16884149507917, 82.64401803194411), rgb(0, 0, 0));dot((26.084420747539586, 41.32200901597206), rgb(0, 0, 0));dot((113.1212710869398, 20.66100450798603), rgb(0, 0, 0));dot((156.6396962566399, 10.330502253993014), rgb(0, 0, 0));dot((78.31984812831995, 5.165251126996507), rgb(0, 0, 0));dot((39.15992406415997, 2.5826255634982536), rgb(0, 0, 0));dot((69.61949238866498, 87.96232174623967), rgb(0, 0, 0));\u000aclip(box((-0.66667,-0.66667), (200.67,173.68)));\u000a\u005cend{asy}\u000a
p2441
sg15
L5L
sass(g1693
g2163
VNestWhile
p2442
L0L
tp2443
(dp2444
g6
VNestWhile[#/2&, 10000, IntegerQ]
p2445
sg8
(lp2446
(dp2447
g11
(lp2448
sg13
V\u005cfrac{625}{2}
p2449
sg15
L1L
sass(g1693
g2163
VReturn
p2450
L0L
tp2451
(dp2452
g6
Vf[x_] := (If[x < 0, Return[0]]; x)
p2453
sg8
(lp2454
(dp2455
g11
(lp2456
sg13
Nsg15
L1L
sass(g1693
g2163
g2450
L1L
tp2457
(dp2458
g6
Vf[-1]
p2459
sg8
(lp2460
(dp2461
g11
(lp2462
sg13
V0
p2463
sg15
L2L
sass(g1693
g2163
g2450
L2L
tp2464
(dp2465
g6
VDo[If[i > 3, Return[]]; Print[i], {i, 10}]
p2466
sg8
(lp2467
(dp2468
g11
(lp2469
(dp2470
g149
I00
sg156
V1
p2471
sa(dp2472
g149
I00
sg156
V2
p2473
sa(dp2474
g149
I00
sg156
V3
p2475
sasg13
Nsg15
L3L
sass(g1693
g2163
g2450
L3L
tp2476
(dp2477
g6
Vg[x_] := (Do[If[x < 0, Return[0]], {i, {2, 1, 0, -1}}]; x)
p2478
sg8
(lp2479
(dp2480
g11
(lp2481
sg13
Nsg15
L4L
sass(g1693
g2163
g2450
L4L
tp2482
(dp2483
g6
Vg[-1]
p2484
sg8
(lp2485
(dp2486
g11
(lp2487
sg13
V-1
p2488
sg15
L5L
sass(g1693
g2163
VSwitch
p2489
L0L
tp2490
(dp2491
g6
VSwitch[2, 1, x, 2, y, 3, z]
p2492
sg8
(lp2493
(dp2494
g11
(lp2495
sg13
g2052
sg15
L1L
sass(g1693
g2163
g2489
L1L
tp2496
(dp2497
g6
VSwitch[5, 1, x, 2, y]
p2498
sg8
(lp2499
(dp2500
g11
(lp2501
sg13
V\u005ctext{Switch}\u005cleft[5,1,x,2,y\u005cright]
p2502
sg15
L2L
sass(g1693
g2163
g2489
L2L
tp2503
(dp2504
g6
VSwitch[5, 1, x, 2, y, _, z]
p2505
sg8
(lp2506
(dp2507
g11
(lp2508
sg13
Vz
p2509
sg15
L3L
sass(g1693
g2163
g2489
L3L
tp2510
(dp2511
g6
VSwitch[2, 1]
p2512
sg8
(lp2513
(dp2514
g11
(lp2515
(dp2516
g149
I01
sg150
VSwitch
p2517
sg152
Vargct
p2518
sg154
VSwitch::argct
p2519
sg156
VSwitch called with 2 arguments. Switch must be called with an odd number of arguments.
p2520
sasg13
V\u005ctext{Switch}\u005cleft[2,1\u005cright]
p2521
sg15
L4L
sass(g1693
g2163
VWhich
p2522
L0L
tp2523
(dp2524
g6
Vn = 5;
p2525
sg8
(lp2526
(dp2527
g11
(lp2528
sg13
Nsg15
L1L
sass(g1693
g2163
g2522
L1L
tp2529
(dp2530
g6
VWhich[n == 3, x, n == 5, y]
p2531
sg8
(lp2532
(dp2533
g11
(lp2534
sg13
g2052
sg15
L2L
sass(g1693
g2163
g2522
L2L
tp2535
(dp2536
g6
Vf[x_] := Which[x < 0, -x, x == 0, 0, x > 0, x]
p2537
sg8
(lp2538
(dp2539
g11
(lp2540
sg13
Nsg15
L3L
sass(g1693
g2163
g2522
L3L
tp2541
(dp2542
g6
Vf[-3]
p2543
sg8
(lp2544
(dp2545
g11
(lp2546
sg13
V3
p2547
sg15
L4L
sass(g1693
g2163
g2522
L4L
tp2548
(dp2549
g6
VWhich[False, a]
p2550
sg8
(lp2551
(dp2552
g11
(lp2553
sg13
Nsg15
L5L
sass(g1693
g2163
g2522
L5L
tp2554
(dp2555
g6
VWhich[False, a, x, b, True, c]
p2556
sg8
(lp2557
(dp2558
g11
(lp2559
sg13
V\u005ctext{Which}\u005cleft[x,b,\u005ctext{True},c\u005cright]
p2560
sg15
L6L
sass(g1693
g2163
g2522
L6L
tp2561
(dp2562
g6
VWhich[a, b, c]
p2563
sg8
(lp2564
(dp2565
g11
(lp2566
(dp2567
g149
I01
sg150
VWhich
p2568
sg152
g2518
sg154
VWhich::argct
p2569
sg156
VWhich called with 3 arguments.
p2570
sasg13
V\u005ctext{Which}\u005cleft[a,b,c\u005cright]
p2571
sg15
L7L
sass(g1693
g2163
VWhile
p2572
L0L
tp2573
(dp2574
g6
V{a, b} = {27, 6};
p2575
sg8
(lp2576
(dp2577
g11
(lp2578
sg13
Nsg15
L1L
sass(g1693
g2163
g2572
L1L
tp2579
(dp2580
g6
VWhile[b != 0, {a, b} = {b, Mod[a, b]}];
p2581
sg8
(lp2582
(dp2583
g11
(lp2584
sg13
Nsg15
L2L
sass(g1693
g2163
g2572
L2L
tp2585
(dp2586
g6
g542
sg8
(lp2587
(dp2588
g11
(lp2589
sg13
V3
p2590
sg15
L3L
sass(g1693
VDate and Time
p2591
VAbsoluteTime
p2592
L0L
tp2593
(dp2594
g6
VAbsoluteTime[]
p2595
sg8
(lp2596
(dp2597
g11
(lp2598
sg13
V3.82644\u005ctimes 10^9
p2599
sg15
L1L
sass(g1693
g2591
g2592
L1L
tp2600
(dp2601
g6
VAbsoluteTime[{2000}]
p2602
sg8
(lp2603
(dp2604
g11
(lp2605
sg13
V3155673600
p2606
sg15
L2L
sass(g1693
g2591
g2592
L2L
tp2607
(dp2608
g6
VAbsoluteTime[{"01/02/03", {"Day", "Month", "YearShort"}}]
p2609
sg8
(lp2610
(dp2611
g11
(lp2612
sg13
V3253046400
p2613
sg15
L3L
sass(g1693
g2591
g2592
L3L
tp2614
(dp2615
g6
VAbsoluteTime["6 June 1991"]
p2616
sg8
(lp2617
(dp2618
g11
(lp2619
sg13
V2885155200
p2620
sg15
L4L
sass(g1693
g2591
g2592
L4L
tp2621
(dp2622
g6
VAbsoluteTime[{"6-6-91", {"Day", "Month", "YearShort"}}]
p2623
sg8
(lp2624
(dp2625
g11
(lp2626
sg13
V2885155200
p2627
sg15
L5L
sass(g1693
g2591
VAbsoluteTiming
p2628
L0L
tp2629
(dp2630
g6
VAbsoluteTiming[50!]
p2631
sg8
(lp2632
(dp2633
g11
(lp2634
sg13
V\u005cleft\u005c{0.000258684,30414093201713378043612608166064768844377641568960512000000000000\u005cright\u005c}
p2635
sg15
L1L
sass(g1693
g2591
g2628
L1L
tp2636
(dp2637
g6
VAttributes[AbsoluteTiming]
p2638
sg8
(lp2639
(dp2640
g11
(lp2641
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p2642
sg15
L2L
sass(g1693
g2591
VDateDifference
p2643
L0L
tp2644
(dp2645
g6
VDateDifference[{2042, 1, 4}, {2057, 1, 1}]
p2646
sg8
(lp2647
(dp2648
g11
(lp2649
sg13
V5476
p2650
sg15
L1L
sass(g1693
g2591
g2643
L1L
tp2651
(dp2652
g6
VDateDifference[{1936, 8, 14}, {2000, 12, 1}, "Year"]
p2653
sg8
(lp2654
(dp2655
g11
(lp2656
sg13
V\u005cleft\u005c{64.3425,\u005ctext{Year}\u005cright\u005c}
p2657
sg15
L2L
sass(g1693
g2591
g2643
L2L
tp2658
(dp2659
g6
VDateDifference[{2010, 6, 1}, {2015, 1, 1}, "Hour"]
p2660
sg8
(lp2661
(dp2662
g11
(lp2663
sg13
V\u005cleft\u005c{40200,\u005ctext{Hour}\u005cright\u005c}
p2664
sg15
L3L
sass(g1693
g2591
g2643
L3L
tp2665
(dp2666
g6
VDateDifference[{2003, 8, 11}, {2003, 10, 19}, {"Week", "Day"}]
p2667
sg8
(lp2668
(dp2669
g11
(lp2670
sg13
V\u005cleft\u005c{\u005cleft\u005c{9,\u005ctext{Week}\u005cright\u005c},\u005cleft\u005c{6,\u005ctext{Day}\u005cright\u005c}\u005cright\u005c}
p2671
sg15
L4L
sass(g1693
g2591
VDateList
p2672
L0L
tp2673
(dp2674
g6
VDateList[0]
p2675
sg8
(lp2676
(dp2677
g11
(lp2678
sg13
V\u005cleft\u005c{1900,1,1,0,0,0.\u005cright\u005c}
p2679
sg15
L1L
sass(g1693
g2591
g2672
L1L
tp2680
(dp2681
g6
VDateList[3155673600]
p2682
sg8
(lp2683
(dp2684
g11
(lp2685
sg13
V\u005cleft\u005c{2000,1,1,0,0,0.\u005cright\u005c}
p2686
sg15
L2L
sass(g1693
g2591
g2672
L2L
tp2687
(dp2688
g6
VDateList[{2003, 5, 0.5, 0.1, 0.767}]
p2689
sg8
(lp2690
(dp2691
g11
(lp2692
sg13
V\u005cleft\u005c{2003,4,30,12,6,46.02\u005cright\u005c}
p2693
sg15
L3L
sass(g1693
g2591
g2672
L3L
tp2694
(dp2695
g6
VDateList[{2012, 1, 300., 10}]
p2696
sg8
(lp2697
(dp2698
g11
(lp2699
sg13
V\u005cleft\u005c{2012,10,26,10,0,0.\u005cright\u005c}
p2700
sg15
L4L
sass(g1693
g2591
g2672
L4L
tp2701
(dp2702
g6
VDateList["31/10/1991"]
p2703
sg8
(lp2704
(dp2705
g11
(lp2706
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p2707
sg15
L5L
sass(g1693
g2591
g2672
L5L
tp2708
(dp2709
g6
VDateList["1/10/1991"]
p2710
sg8
(lp2711
(dp2712
g11
(lp2713
(dp2714
g149
I01
sg150
VDateList
p2715
sg152
Vambig
p2716
sg154
VDateList::ambig
p2717
sg156
VThe interpretation of 1/10/1991 is ambiguous.
p2718
sasg13
V\u005cleft\u005c{1991,1,10,0,0,0.\u005cright\u005c}
p2719
sg15
L6L
sass(g1693
g2591
g2672
L8L
tp2720
(dp2721
g6
VDateList[{"31/10/91", {"Day", "Month", "YearShort"}}]
p2722
sg8
(lp2723
(dp2724
g11
(lp2725
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p2726
sg15
L7L
sass(g1693
g2591
g2672
L9L
tp2727
(dp2728
g6
VDateList[{"31 10/91", {"Day", " ", "Month", "/", "YearShort"}}]
p2729
sg8
(lp2730
(dp2731
g11
(lp2732
sg13
V\u005cleft\u005c{1991,10,31,0,0,0.\u005cright\u005c}
p2733
sg15
L8L
sass(g1693
g2591
g2672
L14L
tp2734
(dp2735
g6
VDateList[{"5/18", {"Month", "Day"}}]
p2736
sg8
(lp2737
(dp2738
g11
(lp2739
sg13
V\u005cleft\u005c{2021,5,18,0,0,0.\u005cright\u005c}
p2740
sg15
L9L
sass(g1693
g2591
VDatePlus
p2741
L0L
tp2742
(dp2743
g6
VDatePlus[{2010, 2, 5}, 73]
p2744
sg8
(lp2745
(dp2746
g11
(lp2747
sg13
V\u005cleft\u005c{2010,4,19\u005cright\u005c}
p2748
sg15
L1L
sass(g1693
g2591
g2741
L1L
tp2749
(dp2750
g6
VDatePlus[{2010, 2, 5}, {{8, "Week"}, {1, "Day"}}]
p2751
sg8
(lp2752
(dp2753
g11
(lp2754
sg13
V\u005cleft\u005c{2010,4,3\u005cright\u005c}
p2755
sg15
L2L
sass(g1693
g2591
VDateString
p2756
L0L
tp2757
(dp2758
g6
VDateString[];
p2759
sg8
(lp2760
(dp2761
g11
(lp2762
sg13
Nsg15
L1L
sass(g1693
g2591
g2756
L1L
tp2763
(dp2764
g6
VDateString[{1991, 10, 31, 0, 0}, {"Day", " ", "MonthName", " ", "Year"}]
p2765
sg8
(lp2766
(dp2767
g11
(lp2768
sg13
V\u005ctext{31 October 1991}
p2769
sg15
L2L
sass(g1693
g2591
g2756
L2L
tp2770
(dp2771
g6
VDateString[{2007, 4, 15, 0}]
p2772
sg8
(lp2773
(dp2774
g11
(lp2775
sg13
V\u005ctext{Sun 15 Apr 2007 00:00:00}
p2776
sg15
L3L
sass(g1693
g2591
g2756
L3L
tp2777
(dp2778
g6
VDateString[{1979, 3, 14}, {"DayName", "  ", "Month", "-", "YearShort"}]
p2779
sg8
(lp2780
(dp2781
g11
(lp2782
sg13
V\u005ctext{Wednesday  03-79}
p2783
sg15
L4L
sass(g1693
g2591
g2756
L4L
tp2784
(dp2785
g6
VDateString[{1991, 6, 6.5}]
p2786
sg8
(lp2787
(dp2788
g11
(lp2789
sg13
V\u005ctext{Thu 6 Jun 1991 12:00:00}
p2790
sg15
L5L
sass(g1693
g2591
V$DateStringFormat
p2791
L0L
tp2792
(dp2793
g6
V$DateStringFormat
p2794
sg8
(lp2795
(dp2796
g11
(lp2797
sg13
V\u005cleft\u005c{\u005ctext{DateTimeShort}\u005cright\u005c}
p2798
sg15
L1L
sass(g1693
g2591
VEasterSunday
p2799
L0L
tp2800
(dp2801
g6
VEasterSunday[2000]
p2802
sg8
(lp2803
(dp2804
g11
(lp2805
sg13
V\u005cleft\u005c{2000,4,23\u005cright\u005c}
p2806
sg15
L1L
sass(g1693
g2591
g2799
L1L
tp2807
(dp2808
g6
VEasterSunday[2030]
p2809
sg8
(lp2810
(dp2811
g11
(lp2812
sg13
V\u005cleft\u005c{2030,4,21\u005cright\u005c}
p2813
sg15
L2L
sass(g1693
g2591
VPause
p2814
L0L
tp2815
(dp2816
g6
VPause[0.5]
p2817
sg8
(lp2818
(dp2819
g11
(lp2820
sg13
Nsg15
L1L
sass(g1693
g2591
VSessionTime
p2821
L0L
tp2822
(dp2823
g6
VSessionTime[]
p2824
sg8
(lp2825
(dp2826
g11
(lp2827
sg13
V91.5767
p2828
sg15
L1L
sass(g1693
g2591
V$SystemTimeZone
p2829
L0L
tp2830
(dp2831
g6
V$SystemTimeZone
p2832
sg8
(lp2833
(dp2834
g11
(lp2835
sg13
V-5.
p2836
sg15
L1L
sass(g1693
g2591
VTimeConstrained
p2837
L0L
tp2838
(dp2839
g6
VTimeConstrained[Integrate[Sin[x]^1000000,x],1]
p2840
sg8
(lp2841
(dp2842
g11
(lp2843
sg13
V\u005ctext{\u005c$Aborted}
p2844
sg15
L1L
sass(g1693
g2591
g2837
L1L
tp2845
(dp2846
g6
VTimeConstrained[Integrate[Sin[x]^1000000,x], 1, Integrate[Cos[x],x]]
p2847
sg8
(lp2848
(dp2849
g11
(lp2850
sg13
V\u005ctext{Sin}\u005cleft[x\u005cright]
p2851
sg15
L2L
sass(g1693
g2591
g2837
L2L
tp2852
(dp2853
g6
Vs=TimeConstrained[Integrate[Sin[x] ^ 3, x], a]
p2854
sg8
(lp2855
(dp2856
g11
(lp2857
(dp2858
g149
I01
sg150
VTimeConstrained
p2859
sg152
Vtimc
p2860
sg154
VTimeConstrained::timc
p2861
sg156
VNumber of seconds a is not a positive machine-sized number or Infinity.
p2862
sasg13
V\u005ctext{TimeConstrained}\u005cleft[\u005cint \u005ctext{Sin}\u005cleft[x\u005cright]^3 \u005c, dx,a\u005cright]
p2863
sg15
L3L
sass(g1693
g2591
g2837
L3L
tp2864
(dp2865
g6
Va=1; s
p2866
sg8
(lp2867
(dp2868
g11
(lp2869
sg13
V-\u005ctext{Cos}\u005cleft[x\u005cright]+\u005cfrac{\u005ctext{Cos}\u005cleft[x\u005cright]^3}{3}
p2870
sg15
L4L
sass(g1693
g2591
VTimeRemaining
p2871
L0L
tp2872
(dp2873
g6
VTimeRemaining[]
p2874
sg8
(lp2875
(dp2876
g11
(lp2877
sg13
g165
sg15
L1L
sass(g1693
g2591
g2871
L1L
tp2878
(dp2879
g6
VTimeConstrained[1+2; Print[TimeRemaining[]], 0.9]
p2880
sg8
(lp2881
(dp2882
g11
(lp2883
(dp2884
g149
I00
sg156
V0.899237
p2885
sasg13
Nsg15
L2L
sass(g1693
g2591
VTimeUsed
p2886
L0L
tp2887
(dp2888
g6
VTimeUsed[]
p2889
sg8
(lp2890
(dp2891
g11
(lp2892
sg13
V325.067
p2893
sg15
L1L
sass(g1693
g2591
V$TimeZone
p2894
L0L
tp2895
(dp2896
g6
V$TimeZone
p2897
sg8
(lp2898
(dp2899
g11
(lp2900
sg13
V-5.
p2901
sg15
L1L
sass(g1693
g2591
VTiming
p2902
L0L
tp2903
(dp2904
g6
VTiming[50!]
p2905
sg8
(lp2906
(dp2907
g11
(lp2908
sg13
V\u005cleft\u005c{0.00023914,30414093201713378043612608166064768844377641568960512000000000000\u005cright\u005c}
p2909
sg15
L1L
sass(g1693
g2591
g2902
L1L
tp2910
(dp2911
g6
VAttributes[Timing]
p2912
sg8
(lp2913
(dp2914
g11
(lp2915
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p2916
sg15
L2L
sass(g1693
VGraphics (3D)
p2917
VCuboid
p2918
L0L
tp2919
(dp2920
g6
VGraphics3D[Cuboid[{0, 0, 1}]]
p2921
sg8
(lp2922
(dp2923
g11
(lp2924
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
p2925
sg15
L1L
sass(g1693
g2917
g2918
L1L
tp2926
(dp2927
g6
VGraphics3D[{Red, Cuboid[{0, 0, 0}, {1, 1, 0.5}], Blue, Cuboid[{0.25, 0.25, 0.5}, {0.75, 0.75, 1}]}]
p2928
sg8
(lp2929
(dp2930
g11
(lp2931
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)--(0,1,0)--(0,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,0,0)--(0,0,0.5)--(0,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(1,0,0)--(1,1,0)--(1,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(1,0,0)--(1,0,0.5)--(1,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,0,0)--(1,0,0)--(1,0,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,0,0)--(0,0,0.5)--(1,0,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,1,0)--(1,1,0)--(1,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,1,0)--(0,1,0.5)--(1,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,0,0)--(0,1,0)--(1,1,0)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,0,0)--(1,0,0)--(1,1,0)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,0,0.5)--(0,1,0.5)--(1,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);path3 g=(0,0,0.5)--(1,0,0.5)--(1,1,0.5)--cycle;draw(surface(g), rgb(1, 0, 0), nullpen);\u000apath3 g=(0.25,0.25,0.5)--(0.25,0.75,0.5)--(0.25,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.25,0.5)--(0.25,0.25,1)--(0.25,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.75,0.25,0.5)--(0.75,0.75,0.5)--(0.75,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.75,0.25,0.5)--(0.75,0.25,1)--(0.75,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.25,0.5)--(0.75,0.25,0.5)--(0.75,0.25,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.25,0.5)--(0.25,0.25,1)--(0.75,0.25,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.75,0.5)--(0.75,0.75,0.5)--(0.75,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.75,0.5)--(0.25,0.75,1)--(0.75,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.25,0.5)--(0.25,0.75,0.5)--(0.75,0.75,0.5)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.25,0.5)--(0.75,0.25,0.5)--(0.75,0.75,0.5)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.25,1)--(0.25,0.75,1)--(0.75,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 1), nullpen);path3 g=(0.25,0.25,1)--(0.75,0.25,1)--(0.75,0.75,1)--cycle;draw(surface(g), rgb(0, 0, 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
p2932
sg15
L2L
sass(g1693
g2917
VGraphics3D
p2933
L0L
tp2934
(dp2935
g6
VGraphics3D[Polygon[{{0,0,0}, {0,1,1}, {1,0,0}}]]
p2936
sg8
(lp2937
(dp2938
g11
(lp2939
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
p2940
sg15
L1L
sass(g1693
g2917
g2933
L1L
tp2941
(dp2942
g6
VGraphics3D[Sphere[]] // TeXForm
p2943
sg8
(lp2944
(dp2945
g11
(lp2946
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}
p2947
sg15
L2L
sass(g1693
g2917
VSphere
p2948
L0L
tp2949
(dp2950
g6
VGraphics3D[Sphere[{0, 0, 0}, 1]]
p2951
sg8
(lp2952
(dp2953
g11
(lp2954
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
p2955
sg15
L1L
sass(g1693
g2917
g2948
L1L
tp2956
(dp2957
g6
VGraphics3D[{Yellow, Sphere[{{-1, 0, 0}, {1, 0, 0}, {0, 0, Sqrt[3.]}}, 1]}]
p2958
sg8
(lp2959
(dp2960
g11
(lp2961
sg13
V\u000a\u005cbegin{asy}\u000aimport three;\u000aimport solids;\u000asize(6.6667cm, 6.6667cm);\u000acurrentprojection=perspective(5.2,-9.6,8.0);\u000acurrentlight=light(rgb(0.5,0.5,1), specular=red, (2,0,2), (2,2,2), (0,2,2));\u000adraw(surface(sphere((-1, 0, 0), 1)), rgb(1.0,1.0,0.0));draw(surface(sphere((1, 0, 0), 1)), rgb(1.0,1.0,0.0));draw(surface(sphere((0, 0, 1.7320508075688772), 1)), rgb(1.0,1.0,0.0));\u000adraw(((-2,-1,-1)--(2,-1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-2,1,-1)--(2,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-2,-1,2.7321)--(2,-1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-2,1,2.7321)--(2,1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-2,-1,-1)--(-2,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((2,-1,-1)--(2,1,-1)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-2,-1,2.7321)--(-2,1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((2,-1,2.7321)--(2,1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-2,-1,-1)--(-2,-1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((2,-1,-1)--(2,-1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-2,1,-1)--(-2,1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((2,1,-1)--(2,1,2.7321)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000a\u005cend{asy}\u000a
p2962
sg15
L2L
sass(g1693
VInput and Output
p2963
VBaseForm
p2964
L0L
tp2965
(dp2966
g6
VBaseForm[33, 2]
p2967
sg8
(lp2968
(dp2969
g11
(lp2970
sg13
V100001_2
p2971
sg15
L1L
sass(g1693
g2963
g2964
L1L
tp2972
(dp2973
g6
VBaseForm[234, 16]
p2974
sg8
(lp2975
(dp2976
g11
(lp2977
sg13
V\u005ctext{ea}_{16}
p2978
sg15
L2L
sass(g1693
g2963
g2964
L2L
tp2979
(dp2980
g6
VBaseForm[12.3, 2]
p2981
sg8
(lp2982
(dp2983
g11
(lp2984
sg13
V1100.01001100110011001_2
p2985
sg15
L3L
sass(g1693
g2963
g2964
L3L
tp2986
(dp2987
g6
VBaseForm[-42, 16]
p2988
sg8
(lp2989
(dp2990
g11
(lp2991
sg13
V-2a_{16}
p2992
sg15
L4L
sass(g1693
g2963
g2964
L4L
tp2993
(dp2994
g6
VBaseForm[x, 2]
p2995
sg8
(lp2996
(dp2997
g11
(lp2998
sg13
g195
sg15
L5L
sass(g1693
g2963
g2964
L5L
tp2999
(dp3000
g6
VBaseForm[12, 3] // FullForm
p3001
sg8
(lp3002
(dp3003
g11
(lp3004
sg13
V\u005ctext{BaseForm}\u005cleft[12, 3\u005cright]
p3005
sg15
L6L
sass(g1693
g2963
g2964
L6L
tp3006
(dp3007
g6
VBaseForm[12, -3]
p3008
sg8
(lp3009
(dp3010
g11
(lp3011
(dp3012
g149
I01
sg150
VBaseForm
p3013
sg152
Vintpm
p3014
sg154
VBaseForm::intpm
p3015
sg156
VPositive machine-sized integer expected at position 2 in BaseForm[12, -3].
p3016
sa(dp3017
g149
I01
sg150
VGeneral
p3018
sg152
g1264
sg154
VGeneral::notboxes
p3019
sg156
VMakeBoxes[BaseForm[12, -3], StandardForm] is not a valid box structure.
p3020
sasg13
g1267
sg15
L7L
sass(g1693
g2963
g2964
L7L
tp3021
(dp3022
g6
VBaseForm[12, 100]
p3023
sg8
(lp3024
(dp3025
g11
(lp3026
(dp3027
g149
I01
sg150
VBaseForm
p3028
sg152
Vbasf
p3029
sg154
VBaseForm::basf
p3030
sg156
VRequested base 100 must be between 2 and 36.
p3031
sa(dp3032
g149
I01
sg150
VGeneral
p3033
sg152
g1264
sg154
VGeneral::notboxes
p3034
sg156
VMakeBoxes[BaseForm[12, 100], StandardForm] is not a valid box structure.
p3035
sasg13
g1267
sg15
L8L
sass(g1693
g2963
VCheck
p3036
L0L
tp3037
(dp3038
g6
VCheck[1/0, err]
p3039
sg8
(lp3040
(dp3041
g11
(lp3042
(dp3043
g149
I01
sg150
VPower
p3044
sg152
g153
sg154
VPower::infy
p3045
sg156
VInfinite expression 1 / 0 encountered.
p3046
sasg13
V\u005ctext{err}
p3047
sg15
L1L
sass(g1693
g2963
g3036
L2L
tp3048
(dp3049
g6
VCheck[Sin[0^0], err, Sin::argx]
p3050
sg8
(lp3051
(dp3052
g11
(lp3053
(dp3054
g149
I01
sg150
VPower
p3055
sg152
g174
sg154
VPower::indet
p3056
sg156
VIndeterminate expression 0 ^ 0 encountered.
p3057
sasg13
V\u005ctext{Indeterminate}
p3058
sg15
L2L
sass(g1693
g2963
g3036
L3L
tp3059
(dp3060
g6
VCheck[1/0, err, Power::infy]
p3061
sg8
(lp3062
(dp3063
g11
(lp3064
(dp3065
g149
I01
sg150
VPower
p3066
sg152
g153
sg154
VPower::infy
p3067
sg156
VInfinite expression 1 / 0 encountered.
p3068
sasg13
V\u005ctext{err}
p3069
sg15
L3L
sass(g1693
g2963
VFormat
p3070
L0L
tp3071
(dp3072
g6
VFormat[f[x___]] := Infix[{x}, "~"]
p3073
sg8
(lp3074
(dp3075
g11
(lp3076
sg13
Nsg15
L1L
sass(g1693
g2963
g3070
L1L
tp3077
(dp3078
g6
Vf[1, 2, 3]
p3079
sg8
(lp3080
(dp3081
g11
(lp3082
sg13
V1\u005csim{}2\u005csim{}3
p3083
sg15
L2L
sass(g1693
g2963
g3070
L2L
tp3084
(dp3085
g6
Vf[1]
p3086
sg8
(lp3087
(dp3088
g11
(lp3089
sg13
V1
p3090
sg15
L3L
sass(g1693
g2963
g3070
L3L
tp3091
(dp3092
g6
VFormat[3] = "three";
p3093
sg8
(lp3094
(dp3095
g11
(lp3096
(dp3097
g149
I01
sg150
VSet
p3098
sg152
Vsetraw
p3099
sg154
VSet::setraw
p3100
sg156
VCannot assign to raw object 3.
p3101
sasg13
Nsg15
L4L
sass(g1693
g2963
g3070
L4L
tp3102
(dp3103
g6
VFormat[r, a + b] = "r";
p3104
sg8
(lp3105
(dp3106
g11
(lp3107
(dp3108
g149
I01
sg150
VFormat
p3109
sg152
Vfttp
p3110
sg154
VFormat::fttp
p3111
sg156
VFormat type a + b is not a symbol.
p3112
sasg13
Nsg15
L5L
sass(g1693
g2963
g3070
L5L
tp3113
(dp3114
g6
Vf /: Format[g[f]] = "my f";
p3115
sg8
(lp3116
(dp3117
g11
(lp3118
(dp3119
g149
I01
sg150
VTagSet
p3120
sg152
Vtagnfd
p3121
sg154
VTagSet::tagnfd
p3122
sg156
VTag f not found or too deep for an assigned rule.
p3123
sasg13
Nsg15
L6L
sass(g1693
g2963
VFullForm
p3124
L0L
tp3125
(dp3126
g6
VFullForm[a + b * c]
p3127
sg8
(lp3128
(dp3129
g11
(lp3130
sg13
V\u005ctext{Plus}\u005cleft[a, \u005ctext{Times}\u005cleft[b, c\u005cright]\u005cright]
p3131
sg15
L1L
sass(g1693
g2963
g3124
L1L
tp3132
(dp3133
g6
VFullForm[2/3]
p3134
sg8
(lp3135
(dp3136
g11
(lp3137
sg13
V\u005ctext{Rational}\u005cleft[2, 3\u005cright]
p3138
sg15
L2L
sass(g1693
g2963
g3124
L2L
tp3139
(dp3140
g6
VFullForm["A string"]
p3141
sg8
(lp3142
(dp3143
g11
(lp3144
sg13
V\u005ctext{"A string"}
p3145
sg15
L3L
sass(g1693
g2963
VGeneral
p3146
L0L
tp3147
(dp3148
g6
VGeneral::argr
p3149
sg8
(lp3150
(dp3151
g11
(lp3152
sg13
V\u005ctext{`1` called with 1 argument; `2` arguments are expected.}
p3153
sg15
L1L
sass(g1693
g2963
g3146
L1L
tp3154
(dp3155
g6
VMessage[Rule::argr, Rule, 2]
p3156
sg8
(lp3157
(dp3158
g11
(lp3159
(dp3160
g149
I01
sg150
VRule
p3161
sg152
Vargr
p3162
sg154
VRule::argr
p3163
sg156
VRule called with 1 argument; 2 arguments are expected.
p3164
sasg13
Nsg15
L2L
sass(g1693
g2963
VGrid
p3165
L0L
tp3166
(dp3167
g6
VGrid[{{a, b}, {c, d}}]
p3168
sg8
(lp3169
(dp3170
g11
(lp3171
sg13
V\u005cbegin{array}{cc} a & b\u005c\u005c c & d\u005cend{array}
p3172
sg15
L1L
sass(g1693
g2963
VInfix
p3173
L0L
tp3174
(dp3175
g6
VFormat[g[x_, y_]] := Infix[{x, y}, "#", 350, Left]
p3176
sg8
(lp3177
(dp3178
g11
(lp3179
sg13
Nsg15
L1L
sass(g1693
g2963
g3173
L1L
tp3180
(dp3181
g6
Vg[a, g[b, c]]
p3182
sg8
(lp3183
(dp3184
g11
(lp3185
sg13
Va\u005c#\u005cleft(b\u005c#c\u005cright)
p3186
sg15
L2L
sass(g1693
g2963
g3173
L2L
tp3187
(dp3188
g6
Vg[g[a, b], c]
p3189
sg8
(lp3190
(dp3191
g11
(lp3192
sg13
Va\u005c#b\u005c#c
p3193
sg15
L3L
sass(g1693
g2963
g3173
L3L
tp3194
(dp3195
g6
Vg[a + b, c]
p3196
sg8
(lp3197
(dp3198
g11
(lp3199
sg13
V\u005cleft(a+b\u005cright)\u005c#c
p3200
sg15
L4L
sass(g1693
g2963
g3173
L4L
tp3201
(dp3202
g6
Vg[a * b, c]
p3203
sg8
(lp3204
(dp3205
g11
(lp3206
sg13
Va b\u005c#c
p3207
sg15
L5L
sass(g1693
g2963
g3173
L5L
tp3208
(dp3209
g6
Vg[a, b] + c
p3210
sg8
(lp3211
(dp3212
g11
(lp3213
sg13
Vc+a\u005c#b
p3214
sg15
L6L
sass(g1693
g2963
g3173
L6L
tp3215
(dp3216
g6
Vg[a, b] * c
p3217
sg8
(lp3218
(dp3219
g11
(lp3220
sg13
Vc \u005cleft(a\u005c#b\u005cright)
p3221
sg15
L7L
sass(g1693
g2963
g3173
L7L
tp3222
(dp3223
g6
VInfix[{a, b, c}, {"+", "-"}]
p3224
sg8
(lp3225
(dp3226
g11
(lp3227
sg13
Va+b-c
p3228
sg15
L8L
sass(g1693
g2963
VInputForm
p3229
L0L
tp3230
(dp3231
g6
VInputForm[a + b * c]
p3232
sg8
(lp3233
(dp3234
g11
(lp3235
sg13
Va\u005ctext{ + }b*c
p3236
sg15
L1L
sass(g1693
g2963
g3229
L1L
tp3237
(dp3238
g6
VInputForm["A string"]
p3239
sg8
(lp3240
(dp3241
g11
(lp3242
sg13
V\u005ctext{"A string"}
p3243
sg15
L2L
sass(g1693
g2963
g3229
L2L
tp3244
(dp3245
g6
VInputForm[f'[x]]
p3246
sg8
(lp3247
(dp3248
g11
(lp3249
sg13
V\u005ctext{Derivative}\u005cleft[1\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p3250
sg15
L3L
sass(g1693
g2963
g3229
L3L
tp3251
(dp3252
g6
VInputForm[Derivative[1, 0][f][x]]
p3253
sg8
(lp3254
(dp3255
g11
(lp3256
sg13
V\u005ctext{Derivative}\u005cleft[1, 0\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p3257
sg15
L4L
sass(g1693
g2963
VMakeBoxes
p3258
L0L
tp3259
(dp3260
g6
V\u005c(x \u005c^ 2\u005c)
p3261
sg8
(lp3262
(dp3263
g11
(lp3264
sg13
V\u005ctext{SuperscriptBox}\u005cleft[\u005ctext{x},\u005ctext{2}\u005cright]
p3265
sg15
L1L
sass(g1693
g2963
g3258
L1L
tp3266
(dp3267
g6
V\u005c(x \u005c_ 2\u005c)
p3268
sg8
(lp3269
(dp3270
g11
(lp3271
sg13
V\u005ctext{SubscriptBox}\u005cleft[\u005ctext{x},\u005ctext{2}\u005cright]
p3272
sg15
L2L
sass(g1693
g2963
g3258
L2L
tp3273
(dp3274
g6
V\u005c( a \u005c+ b \u005c% c\u005c)
p3275
sg8
(lp3276
(dp3277
g11
(lp3278
sg13
V\u005ctext{UnderoverscriptBox}\u005cleft[\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright]
p3279
sg15
L3L
sass(g1693
g2963
g3258
L3L
tp3280
(dp3281
g6
V\u005c( a \u005c& b \u005c% c\u005c)
p3282
sg8
(lp3283
(dp3284
g11
(lp3285
sg13
V\u005ctext{UnderoverscriptBox}\u005cleft[\u005ctext{a},\u005ctext{c},\u005ctext{b}\u005cright]
p3286
sg15
L4L
sass(g1693
g2963
g3258
L5L
tp3287
(dp3288
g6
V\u005c(x \u005c& y \u005c)
p3289
sg8
(lp3290
(dp3291
g11
(lp3292
sg13
V\u005ctext{OverscriptBox}\u005cleft[\u005ctext{x},\u005ctext{y}\u005cright]
p3293
sg15
L5L
sass(g1693
g2963
g3258
L6L
tp3294
(dp3295
g6
V\u005c(x \u005c+ y \u005c)
p3296
sg8
(lp3297
(dp3298
g11
(lp3299
sg13
V\u005ctext{UnderscriptBox}\u005cleft[\u005ctext{x},\u005ctext{y}\u005cright]
p3300
sg15
L6L
sass(g1693
g2963
VMathMLForm
p3301
L0L
tp3302
(dp3303
g6
VMathMLForm[HoldForm[Sqrt[a^3]]]
p3304
sg8
(lp3305
(dp3306
g11
(lp3307
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><msqrt><msup><mi>a</mi> <mn>3</mn></msup></msqrt></mstyle></math>}
p3308
sg15
L1L
sass(g1693
g2963
g3301
L1L
tp3309
(dp3310
g6
VMathMLForm[\u005c[Mu]]
p3311
sg8
(lp3312
(dp3313
g11
(lp3314
sg13
V\u005ctext{<math display="block"><mstyle mathvariant="sans-serif"><mi>\u03bc</mi></mstyle></math>}
p3315
sg15
L2L
sass(g1693
g2963
VMatrixForm
p3316
L0L
tp3317
(dp3318
g6
VArray[a,{4,3}]//MatrixForm
p3319
sg8
(lp3320
(dp3321
g11
(lp3322
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)
p3323
sg15
L1L
sass(g1693
g2963
VMessage
p3324
L0L
tp3325
(dp3326
g6
Va::b = "Hello world!"
p3327
sg8
(lp3328
(dp3329
g11
(lp3330
sg13
V\u005ctext{Hello world!}
p3331
sg15
L1L
sass(g1693
g2963
g3324
L1L
tp3332
(dp3333
g6
VMessage[a::b]
p3334
sg8
(lp3335
(dp3336
g11
(lp3337
(dp3338
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p3339
sg156
VHello world!
p3340
sasg13
Nsg15
L2L
sass(g1693
g2963
g3324
L2L
tp3341
(dp3342
g6
Va::c := "Hello `1`, Mr 00`2`!"
p3343
sg8
(lp3344
(dp3345
g11
(lp3346
sg13
Nsg15
L3L
sass(g1693
g2963
g3324
L3L
tp3347
(dp3348
g6
VMessage[a::c, "you", 3 + 4]
p3349
sg8
(lp3350
(dp3351
g11
(lp3352
(dp3353
g149
I01
sg150
g542
sg152
g444
sg154
Va::c
p3354
sg156
VHello you, Mr 007!
p3355
sasg13
Nsg15
L4L
sass(g1693
g2963
VMessageName
p3356
L0L
tp3357
(dp3358
g6
VFullForm[a::b]
p3359
sg8
(lp3360
(dp3361
g11
(lp3362
sg13
V\u005ctext{MessageName}\u005cleft[a, \u005ctext{"b"}\u005cright]
p3363
sg15
L1L
sass(g1693
g2963
g3356
L1L
tp3364
(dp3365
g6
VFullForm[a::"b"]
p3366
sg8
(lp3367
(dp3368
g11
(lp3369
sg13
V\u005ctext{MessageName}\u005cleft[a, \u005ctext{"b"}\u005cright]
p3370
sg15
L2L
sass(g1693
g2963
VNumberForm
p3371
L0L
tp3372
(dp3373
g6
VNumberForm[N[Pi], 10]
p3374
sg8
(lp3375
(dp3376
g11
(lp3377
sg13
V3.141592654
p3378
sg15
L1L
sass(g1693
g2963
g3371
L1L
tp3379
(dp3380
g6
VNumberForm[N[Pi], {10, 5}]
p3381
sg8
(lp3382
(dp3383
g11
(lp3384
sg13
V3.14159
p3385
sg15
L2L
sass(g1693
g2963
VOff
p3386
L0L
tp3387
(dp3388
g6
VOff[Power::infy]
p3389
sg8
(lp3390
(dp3391
g11
(lp3392
sg13
Nsg15
L1L
sass(g1693
g2963
g3386
L1L
tp3393
(dp3394
g6
V1 / 0
p3395
sg8
(lp3396
(dp3397
g11
(lp3398
sg13
V\u005ctext{ComplexInfinity}
p3399
sg15
L2L
sass(g1693
g2963
g3386
L2L
tp3400
(dp3401
g6
VOff[Power::indet, Syntax::com]
p3402
sg8
(lp3403
(dp3404
g11
(lp3405
sg13
Nsg15
L3L
sass(g1693
g2963
g3386
L3L
tp3406
(dp3407
g6
V{0 ^ 0,}
p3408
sg8
(lp3409
(dp3410
g11
(lp3411
sg13
V\u005cleft\u005c{\u005ctext{Indeterminate},\u005ctext{Null}\u005cright\u005c}
p3412
sg15
L4L
sass(g1693
g2963
VOn
p3413
L0L
tp3414
(dp3415
g6
VOff[Power::infy]
p3416
sg8
(lp3417
(dp3418
g11
(lp3419
sg13
Nsg15
L1L
sass(g1693
g2963
g3413
L1L
tp3420
(dp3421
g6
V1 / 0
p3422
sg8
(lp3423
(dp3424
g11
(lp3425
sg13
V\u005ctext{ComplexInfinity}
p3426
sg15
L2L
sass(g1693
g2963
g3413
L2L
tp3427
(dp3428
g6
VOn[Power::infy]
p3429
sg8
(lp3430
(dp3431
g11
(lp3432
sg13
Nsg15
L3L
sass(g1693
g2963
g3413
L3L
tp3433
(dp3434
g6
V1 / 0
p3435
sg8
(lp3436
(dp3437
g11
(lp3438
(dp3439
g149
I01
sg150
VPower
p3440
sg152
g153
sg154
VPower::infy
p3441
sg156
VInfinite expression 1 / 0 encountered.
p3442
sasg13
V\u005ctext{ComplexInfinity}
p3443
sg15
L4L
sass(g1693
g2963
VOutputForm
p3444
L0L
tp3445
(dp3446
g6
VOutputForm[f'[x]]
p3447
sg8
(lp3448
(dp3449
g11
(lp3450
sg13
Vf'\u005cleft[x\u005cright]
p3451
sg15
L1L
sass(g1693
g2963
g3444
L1L
tp3452
(dp3453
g6
VOutputForm[Derivative[1, 0][f][x]]
p3454
sg8
(lp3455
(dp3456
g11
(lp3457
sg13
V\u005ctext{Derivative}\u005cleft[1, 0\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p3458
sg15
L2L
sass(g1693
g2963
g3444
L2L
tp3459
(dp3460
g6
VOutputForm["A string"]
p3461
sg8
(lp3462
(dp3463
g11
(lp3464
sg13
V\u005ctext{A string}
p3465
sg15
L3L
sass(g1693
g2963
g3444
L3L
tp3466
(dp3467
g6
VOutputForm[Graphics[Rectangle[]]]
p3468
sg8
(lp3469
(dp3470
g11
(lp3471
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
p3472
sg15
L4L
sass(g1693
g2963
VPostfix
p3473
L0L
tp3474
(dp3475
g6
Vb // a
p3476
sg8
(lp3477
(dp3478
g11
(lp3479
sg13
Va\u005cleft[b\u005cright]
p3480
sg15
L1L
sass(g1693
g2963
g3473
L1L
tp3481
(dp3482
g6
Vc // b // a
p3483
sg8
(lp3484
(dp3485
g11
(lp3486
sg13
Va\u005cleft[b\u005cleft[c\u005cright]\u005cright]
p3487
sg15
L2L
sass(g1693
g2963
g3473
L2L
tp3488
(dp3489
g6
VHold[x // a // b // c // d // e // f]
p3490
sg8
(lp3491
(dp3492
g11
(lp3493
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]
p3494
sg15
L3L
sass(g1693
g2963
VPrecedence
p3495
L0L
tp3496
(dp3497
g6
VPrecedence[Plus]
p3498
sg8
(lp3499
(dp3500
g11
(lp3501
sg13
V310.
p3502
sg15
L1L
sass(g1693
g2963
g3495
L1L
tp3503
(dp3504
g6
VPrecedence[Plus] < Precedence[Times]
p3505
sg8
(lp3506
(dp3507
g11
(lp3508
sg13
V\u005ctext{True}
p3509
sg15
L2L
sass(g1693
g2963
g3495
L2L
tp3510
(dp3511
g6
VPrecedence[f]
p3512
sg8
(lp3513
(dp3514
g11
(lp3515
sg13
V670.
p3516
sg15
L3L
sass(g1693
g2963
g3495
L3L
tp3517
(dp3518
g6
VPrecedence[a + b]
p3519
sg8
(lp3520
(dp3521
g11
(lp3522
sg13
V1000.
p3523
sg15
L4L
sass(g1693
g2963
VPrefix
p3524
L0L
tp3525
(dp3526
g6
Va @ b
p3527
sg8
(lp3528
(dp3529
g11
(lp3530
sg13
Va\u005cleft[b\u005cright]
p3531
sg15
L1L
sass(g1693
g2963
g3524
L1L
tp3532
(dp3533
g6
Va @ b @ c
p3534
sg8
(lp3535
(dp3536
g11
(lp3537
sg13
Va\u005cleft[b\u005cleft[c\u005cright]\u005cright]
p3538
sg15
L2L
sass(g1693
g2963
g3524
L2L
tp3539
(dp3540
g6
VFormat[p[x_]] := Prefix[{x}, "*"]
p3541
sg8
(lp3542
(dp3543
g11
(lp3544
sg13
Nsg15
L3L
sass(g1693
g2963
g3524
L3L
tp3545
(dp3546
g6
Vp[3]
p3547
sg8
(lp3548
(dp3549
g11
(lp3550
sg13
V*3
p3551
sg15
L4L
sass(g1693
g2963
g3524
L4L
tp3552
(dp3553
g6
VFormat[q[x_]] := Prefix[{x}, "~", 350]
p3554
sg8
(lp3555
(dp3556
g11
(lp3557
sg13
Nsg15
L5L
sass(g1693
g2963
g3524
L5L
tp3558
(dp3559
g6
Vq[a+b]
p3560
sg8
(lp3561
(dp3562
g11
(lp3563
sg13
V\u005csim{}\u005cleft(a+b\u005cright)
p3564
sg15
L6L
sass(g1693
g2963
g3524
L6L
tp3565
(dp3566
g6
Vq[a*b]
p3567
sg8
(lp3568
(dp3569
g11
(lp3570
sg13
V\u005csim{}a b
p3571
sg15
L7L
sass(g1693
g2963
g3524
L7L
tp3572
(dp3573
g6
Vq[a]+b
p3574
sg8
(lp3575
(dp3576
g11
(lp3577
sg13
Vb+\u005csim{}a
p3578
sg15
L8L
sass(g1693
g2963
g3524
L8L
tp3579
(dp3580
g6
VHold[a @ b @ c @ d @ e @ f @ x]
p3581
sg8
(lp3582
(dp3583
g11
(lp3584
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]
p3585
sg15
L9L
sass(g1693
g2963
VPrint
p3586
L0L
tp3587
(dp3588
g6
VPrint["Hello world!"]
p3589
sg8
(lp3590
(dp3591
g11
(lp3592
(dp3593
g149
I00
sg156
VHello world!
p3594
sasg13
Nsg15
L1L
sass(g1693
g2963
g3586
L1L
tp3595
(dp3596
g6
VPrint["The answer is ", 7 * 6, "."]
p3597
sg8
(lp3598
(dp3599
g11
(lp3600
(dp3601
g149
I00
sg156
VThe answer is 42.
p3602
sasg13
Nsg15
L2L
sass(g1693
g2963
VPythonForm
p3603
L0L
tp3604
(dp3605
g6
VPythonForm[Infinity]
p3606
sg8
(lp3607
(dp3608
g11
(lp3609
sg13
V\u005ctext{math.inf}
p3610
sg15
L1L
sass(g1693
g2963
g3603
L1L
tp3611
(dp3612
g6
VPythonForm[Pi]
p3613
sg8
(lp3614
(dp3615
g11
(lp3616
sg13
V\u005ctext{sympy.pi}
p3617
sg15
L2L
sass(g1693
g2963
g3603
L2L
tp3618
(dp3619
g6
VE // PythonForm
p3620
sg8
(lp3621
(dp3622
g11
(lp3623
sg13
V\u005ctext{sympy.E}
p3624
sg15
L3L
sass(g1693
g2963
g3603
L3L
tp3625
(dp3626
g6
V{1, 2, 3} // PythonForm
p3627
sg8
(lp3628
(dp3629
g11
(lp3630
sg13
V\u005ctext{[1, 2, 3]}
p3631
sg15
L4L
sass(g1693
g2963
VQuiet
p3632
L0L
tp3633
(dp3634
g6
Va::b = "Hello";
p3635
sg8
(lp3636
(dp3637
g11
(lp3638
sg13
Nsg15
L1L
sass(g1693
g2963
g3632
L1L
tp3639
(dp3640
g6
VQuiet[x+x, {a::b}]
p3641
sg8
(lp3642
(dp3643
g11
(lp3644
sg13
V2 x
p3645
sg15
L2L
sass(g1693
g2963
g3632
L2L
tp3646
(dp3647
g6
VQuiet[Message[a::b]; x+x, {a::b}]
p3648
sg8
(lp3649
(dp3650
g11
(lp3651
sg13
V2 x
p3652
sg15
L3L
sass(g1693
g2963
g3632
L3L
tp3653
(dp3654
g6
VMessage[a::b]; y=Quiet[Message[a::b]; x+x, {a::b}]; Message[a::b]; y
p3655
sg8
(lp3656
(dp3657
g11
(lp3658
(dp3659
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p3660
sg156
VHello
p3661
sa(dp3662
g149
I01
sg150
g542
sg152
g261
sg154
Va::b
p3663
sg156
g3661
sasg13
V2 x
p3664
sg15
L4L
sass(g1693
g2963
g3632
L4L
tp3665
(dp3666
g6
VQuiet[expr, All, All]
p3667
sg8
(lp3668
(dp3669
g11
(lp3670
(dp3671
g149
I01
sg150
VQuiet
p3672
sg152
Vallall
p3673
sg154
VQuiet::allall
p3674
sg156
VArguments 2 and 3 of Quiet[expr, All, All] should not both be All.
p3675
sasg13
V\u005ctext{Quiet}\u005cleft[\u005ctext{expr},\u005ctext{All},\u005ctext{All}\u005cright]
p3676
sg15
L5L
sass(g1693
g2963
g3632
L5L
tp3677
(dp3678
g6
VQuiet[x + x, {a::b}, {a::b}]
p3679
sg8
(lp3680
(dp3681
g11
(lp3682
(dp3683
g149
I01
sg150
VQuiet
p3684
sg152
Vconflict
p3685
sg154
VQuiet::conflict
p3686
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.
p3687
sasg13
V\u005ctext{Quiet}\u005cleft[x+x,\u005cleft\u005c{a\u005ctext{::}\u005ctext{b}\u005cright\u005c},\u005cleft\u005c{a\u005ctext{::}\u005ctext{b}\u005cright\u005c}\u005cright]
p3688
sg15
L6L
sass(g1693
g2963
VStandardForm
p3689
L0L
tp3690
(dp3691
g6
VStandardForm[a + b * c]
p3692
sg8
(lp3693
(dp3694
g11
(lp3695
sg13
Va+b c
p3696
sg15
L1L
sass(g1693
g2963
g3689
L1L
tp3697
(dp3698
g6
VStandardForm["A string"]
p3699
sg8
(lp3700
(dp3701
g11
(lp3702
sg13
V\u005ctext{A string}
p3703
sg15
L2L
sass(g1693
g2963
g3689
L2L
tp3704
(dp3705
g6
V"A string"
p3706
sg8
(lp3707
(dp3708
g11
(lp3709
sg13
V\u005ctext{A string}
p3710
sg15
L3L
sass(g1693
g2963
g3689
L3L
tp3711
(dp3712
g6
Vf'[x]
p3713
sg8
(lp3714
(dp3715
g11
(lp3716
sg13
Vf'\u005cleft[x\u005cright]
p3717
sg15
L4L
sass(g1693
g2963
VStringForm
p3718
L0L
tp3719
(dp3720
g6
VStringForm["`1` bla `2` blub `` bla `2`", a, b, c]
p3721
sg8
(lp3722
(dp3723
g11
(lp3724
sg13
Va\u005ctext{ bla }b\u005ctext{ blub }c\u005ctext{ bla }b
p3725
sg15
L1L
sass(g1693
g2963
VSubscript
p3726
L0L
tp3727
(dp3728
g6
VSubscript[x,1,2,3] // TeXForm
p3729
sg8
(lp3730
(dp3731
g11
(lp3732
sg13
V\u005ctext{x\u005c_\u005c{1,2,3\u005c}}
p3733
sg15
L1L
sass(g1693
g2963
VSubsuperscript
p3734
L0L
tp3735
(dp3736
g6
VSubsuperscript[a, b, c] // TeXForm
p3737
sg8
(lp3738
(dp3739
g11
(lp3740
sg13
V\u005ctext{a\u005c_b${}^{\u005cwedge}$c}
p3741
sg15
L1L
sass(g1693
g2963
VSuperscript
p3742
L0L
tp3743
(dp3744
g6
VSuperscript[x,3] // TeXForm
p3745
sg8
(lp3746
(dp3747
g11
(lp3748
sg13
V\u005ctext{x${}^{\u005cwedge}$3}
p3749
sg15
L1L
sass(g1693
g2963
VSympyForm
p3750
L0L
tp3751
(dp3752
g6
VSympyForm[Pi^2]
p3753
sg8
(lp3754
(dp3755
g11
(lp3756
sg13
V\u005ctext{pi**2}
p3757
sg15
L1L
sass(g1693
g2963
g3750
L1L
tp3758
(dp3759
g6
VE^2 + 3E // SympyForm
p3760
sg8
(lp3761
(dp3762
g11
(lp3763
sg13
V\u005ctext{exp(2) + 3*E}
p3764
sg15
L2L
sass(g1693
g2963
VSyntax
p3765
L0L
tp3766
(dp3767
g6
V1 +
p3768
sg8
(lp3769
ss(g1693
g2963
g3765
L1L
tp3770
(dp3771
g6
VSin[1)
p3772
sg8
(lp3773
ss(g1693
g2963
g3765
L2L
tp3774
(dp3775
g6
V^ 2
p3776
sg8
(lp3777
ss(g1693
g2963
g3765
L3L
tp3778
(dp3779
g6
V1.5``
p3780
sg8
(lp3781
ss(g1693
g2963
VTableForm
p3782
L0L
tp3783
(dp3784
g6
VTableForm[Array[a, {3,2}],TableDepth->1]
p3785
sg8
(lp3786
(dp3787
g11
(lp3788
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}
p3789
sg15
L1L
sass(g1693
g2963
g3782
L1L
tp3790
(dp3791
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
p3792
sg8
(lp3793
(dp3794
g11
(lp3795
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}
p3796
sg15
L2L
sass(g1693
g2963
VTeXForm
p3797
L0L
tp3798
(dp3799
g6
VTeXForm[HoldForm[Sqrt[a^3]]]
p3800
sg8
(lp3801
(dp3802
g11
(lp3803
sg13
V\u005ctext{$\u005cbackslash$sqrt\u005c{a${}^{\u005cwedge}$3\u005c}}
p3804
sg15
L1L
sass(g1693
g2963
VToBoxes
p3805
L0L
tp3806
(dp3807
g6
VToBoxes[a + a]
p3808
sg8
(lp3809
(dp3810
g11
(lp3811
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{2},\u005ctext{ },\u005ctext{a}\u005cright\u005c}\u005cright]
p3812
sg15
L1L
sass(g1693
g2963
g3805
L1L
tp3813
(dp3814
g6
VToBoxes[a + b]
p3815
sg8
(lp3816
(dp3817
g11
(lp3818
sg13
V\u005ctext{RowBox}\u005cleft[\u005cleft\u005c{\u005ctext{a},\u005ctext{+},\u005ctext{b}\u005cright\u005c}\u005cright]
p3819
sg15
L2L
sass(g1693
g2963
g3805
L2L
tp3820
(dp3821
g6
VToBoxes[a ^ b] // FullForm
p3822
sg8
(lp3823
(dp3824
g11
(lp3825
sg13
V\u005ctext{SuperscriptBox}\u005cleft[\u005ctext{"a"}, \u005ctext{"b"}\u005cright]
p3826
sg15
L3L
sass(g1693
g2963
V$UseSansSerif
p3827
L0L
tp3828
(dp3829
g6
V$UseSansSerif
p3830
sg8
(lp3831
(dp3832
g11
(lp3833
sg13
V\u005ctext{True}
p3834
sg15
L1L
sass(g1693
g2963
g3827
L1L
tp3835
(dp3836
g6
V$UseSansSerif = False
p3837
sg8
(lp3838
(dp3839
g11
(lp3840
sg13
V\u005ctext{False}
p3841
sg15
L2L
sass(g1693
VPlotting
p3842
VAxis
p3843
L0L
tp3844
(dp3845
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Axis]
p3846
sg8
(lp3847
(dp3848
g11
(lp3849
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
p3850
sg15
L1L
sass(g1693
g3842
VBarChart
p3851
L0L
tp3852
(dp3853
g6
VBarChart[{1, 4, 2}]
p3854
sg8
(lp3855
(dp3856
g11
(lp3857
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
p3858
sg15
L1L
sass(g1693
g3842
g3851
L1L
tp3859
(dp3860
g6
VBarChart[{1, 4, 2}, ChartStyle -> {Red, Green, Blue}]
p3861
sg8
(lp3862
(dp3863
g11
(lp3864
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
p3865
sg15
L2L
sass(g1693
g3842
g3851
L2L
tp3866
(dp3867
g6
VBarChart[{{1, 2, 3}, {2, 3, 4}}]
p3868
sg8
(lp3869
(dp3870
g11
(lp3871
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
p3872
sg15
L3L
sass(g1693
g3842
g3851
L3L
tp3873
(dp3874
g6
VBarChart[{{1, 2, 3}, {2, 3, 4}}, ChartLabels -> {"a", "b", "c"}]
p3875
sg8
(lp3876
(dp3877
g11
(lp3878
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
p3879
sg15
L4L
sass(g1693
g3842
g3851
L4L
tp3880
(dp3881
g6
VBarChart[{{1, 5}, {3, 4}}, ChartStyle -> {{EdgeForm[Thin], White}, {EdgeForm[Thick], White}}]
p3882
sg8
(lp3883
(dp3884
g11
(lp3885
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
p3886
sg15
L5L
sass(g1693
g3842
VBottom
p3887
L0L
tp3888
(dp3889
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Bottom]
p3890
sg8
(lp3891
(dp3892
g11
(lp3893
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
p3894
sg15
L1L
sass(g1693
g3842
VColorData
p3895
L0L
tp3896
(dp3897
g6
VUnprotect[ColorData]; ColorData["test"] := ColorDataFunction["test", "Gradients", {0, 1}, Blend[{Red, Green, Blue}, #1] &]; Protect[ColorData]
p3898
sg8
(lp3899
(dp3900
g11
(lp3901
sg13
Nsg15
L1L
sass(g1693
g3842
g3895
L1L
tp3902
(dp3903
g6
V{DensityPlot[x + y, {x, -1, 1}, {y, -1, 1}], DensityPlot[x + y, {x, -1, 1}, {y, -1, 1}, ColorFunction->"test"]}
p3904
sg8
(lp3905
(dp3906
g11
(lp3907
sg13
V\u005cleft\u005c{\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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new pen[] {rgb(0.29342, 0.057404, 0.52941),rgb(0.35136, 0.15815, 0.61086),rgb(0.35136, 0.15815, 0.61086),rgb(0.35136, 0.15815, 0.61086),rgb(0.35136, 0.15815, 0.61086),rgb(0.4093, 0.2589, 0.69231),rgb(0.35136, 0.15815, 0.61086),rgb(0.4093, 0.2589, 0.69231),rgb(0.4093, 0.2589, 0.69231),rgb(0.4093, 0.2589, 0.69231),rgb(0.4093, 0.2589, 0.69231),rgb(0.46725, 0.35965, 0.77375),rgb(0.4093, 0.2589, 0.69231),rgb(0.46725, 0.35965, 0.77375),rgb(0.46725, 0.35965, 0.77375),rgb(0.46725, 0.35965, 0.77375),rgb(0.46725, 0.35965, 0.77375),rgb(0.52519, 0.4604, 0.8552),rgb(0.46725, 0.35965, 0.77375),rgb(0.52519, 0.4604, 0.8552),rgb(0.52519, 0.4604, 0.8552),rgb(0.52519, 0.4604, 0.8552),rgb(0.52519, 0.4604, 0.8552),rgb(0.57802, 0.55038, 0.90982),rgb(0.52519, 0.4604, 0.8552),rgb(0.57802, 0.55038, 0.90982),rgb(0.57802, 0.55038, 0.90982),rgb(0.57802, 0.55038, 0.90982),rgb(0.57802, 0.55038, 0.90982),rgb(0.62062, 0.61883, 0.91079),rgb(0.57802, 0.55038, 0.90982),rgb(0.62062, 0.61883, 0.91079),rgb(0.62062, 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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}
p3908
sg15
L2L
sass(g1693
g3842
VDensityPlot
p3909
L0L
tp3910
(dp3911
g6
VDensityPlot[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p3912
sg8
(lp3913
(dp3914
g11
(lp3915
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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p3916
sg15
L1L
sass(g1693
g3842
g3909
L1L
tp3917
(dp3918
g6
VDensityPlot[1 / x, {x, 0, 1}, {y, 0, 1}]
p3919
sg8
(lp3920
(dp3921
g11
(lp3922
sg13
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nullpen);filldraw((175,150)--(175,200)--(233.33,150)--cycle, nullpen, nullpen);filldraw((175,200)--(233.33,150)--(233.33,200)--cycle, nullpen, nullpen);filldraw((175,200)--(175,250)--(233.33,200)--cycle, nullpen, nullpen);filldraw((175,250)--(233.33,200)--(233.33,250)--cycle, nullpen, nullpen);filldraw((175,250)--(175,300)--(233.33,250)--cycle, nullpen, nullpen);filldraw((175,300)--(233.33,250)--(233.33,300)--cycle, nullpen, nullpen);filldraw((175,300)--(175,350)--(233.33,300)--cycle, nullpen, nullpen);filldraw((175,350)--(233.33,300)--(233.33,350)--cycle, nullpen, nullpen);filldraw((233.33,0)--(233.33,50)--(291.67,0)--cycle, nullpen, nullpen);filldraw((233.33,50)--(291.67,0)--(291.67,50)--cycle, nullpen, nullpen);filldraw((233.33,50)--(233.33,100)--(291.67,50)--cycle, nullpen, nullpen);filldraw((233.33,100)--(291.67,50)--(291.67,100)--cycle, nullpen, nullpen);filldraw((233.33,100)--(233.33,150)--(291.67,100)--cycle, nullpen, 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nullpen);filldraw((291.67,100)--(291.67,150)--(350,100)--cycle, nullpen, nullpen);filldraw((291.67,150)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((291.67,150)--(291.67,200)--(350,150)--cycle, nullpen, nullpen);filldraw((291.67,200)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((291.67,200)--(291.67,250)--(350,200)--cycle, nullpen, nullpen);filldraw((291.67,250)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((291.67,250)--(291.67,300)--(350,250)--cycle, nullpen, nullpen);filldraw((291.67,300)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((291.67,300)--(291.67,350)--(350,300)--cycle, nullpen, nullpen);filldraw((291.67,350)--(350,300)--(350,350)--cycle, nullpen, nullpen);\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p3923
sg15
L2L
sass(g1693
g3842
g3909
L2L
tp3924
(dp3925
g6
VDensityPlot[Sqrt[x * y], {x, -1, 1}, {y, -1, 1}]
p3926
sg8
(lp3927
(dp3928
g11
(lp3929
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000agouraudshade((0,0)--(0,50)--(50,0)--cycle^^(0,50)--(50,0)--(50,50)--cycle^^(0,50)--(0,100)--(50,50)--cycle^^(0,100)--(50,50)--(50,100)--cycle^^(0,100)--(0,150)--(50,100)--cycle^^(0,150)--(50,100)--(50,150)--cycle^^(50,0)--(50,50)--(100,0)--cycle^^(50,50)--(100,0)--(100,50)--cycle^^(50,50)--(50,100)--(100,50)--cycle^^(50,100)--(100,50)--(100,100)--cycle^^(50,100)--(50,150)--(100,100)--cycle^^(50,150)--(100,100)--(100,150)--cycle^^(100,0)--(100,50)--(150,0)--cycle^^(100,50)--(150,0)--(150,50)--cycle^^(100,50)--(100,100)--(150,50)--cycle^^(100,100)--(150,50)--(150,100)--cycle^^(100,100)--(100,150)--(150,100)--cycle^^(100,150)--(150,100)--(150,150)--cycle^^(200,200)--(200,250)--(250,200)--cycle^^(200,250)--(250,200)--(250,250)--cycle^^(200,250)--(200,300)--(250,250)--cycle^^(200,300)--(250,250)--(250,300)--cycle^^(200,300)--(200,350)--(250,300)--cycle^^(200,350)--(250,300)--(250,350)--cycle^^(250,200)--(250,250)--(300,200)--cycle^^(250,250)--(300,200)--(300,250)--cycle^^(250,250)--(250,300)--(300,250)--cycle^^(250,300)--(300,250)--(300,300)--cycle^^(250,300)--(250,350)--(300,300)--cycle^^(250,350)--(300,300)--(300,350)--cycle^^(300,200)--(300,250)--(350,200)--cycle^^(300,250)--(350,200)--(350,250)--cycle^^(300,250)--(300,300)--(350,250)--cycle^^(300,300)--(350,250)--(350,300)--cycle^^(300,300)--(300,350)--(350,300)--cycle^^(300,350)--(350,300)--(350,350)--cycle, 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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
p3930
sg15
L3L
sass(g1693
g3842
g3909
L3L
tp3931
(dp3932
g6
VDensityPlot[1/(x^2 + y^2 + 1), {x, -1, 1}, {y, -2,2}, Mesh->Full]
p3933
sg8
(lp3934
(dp3935
g11
(lp3936
sg13
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nullpen, nullpen);filldraw((50,150)--(50,200)--(100,150)--cycle, nullpen, nullpen);filldraw((50,200)--(100,150)--(100,200)--cycle, nullpen, nullpen);filldraw((50,200)--(100,200)--(100,250)--cycle, nullpen, nullpen);filldraw((50,200)--(50,250)--(100,250)--cycle, nullpen, nullpen);filldraw((50,250)--(100,250)--(100,300)--cycle, nullpen, nullpen);filldraw((50,250)--(50,300)--(100,300)--cycle, nullpen, nullpen);filldraw((50,300)--(100,300)--(100,350)--cycle, nullpen, nullpen);filldraw((50,300)--(50,350)--(100,350)--cycle, nullpen, nullpen);filldraw((100,0)--(100,50)--(150,0)--cycle, nullpen, nullpen);filldraw((100,50)--(150,0)--(150,50)--cycle, nullpen, nullpen);filldraw((100,50)--(100,100)--(150,50)--cycle, nullpen, nullpen);filldraw((100,100)--(150,50)--(150,100)--cycle, nullpen, nullpen);filldraw((100,100)--(100,150)--(150,100)--cycle, nullpen, nullpen);filldraw((100,150)--(150,100)--(150,150)--cycle, nullpen, nullpen);filldraw((100,150)--(100,200)--(150,150)--cycle, nullpen, nullpen);filldraw((100,200)--(150,150)--(150,200)--cycle, nullpen, nullpen);filldraw((100,200)--(150,200)--(150,250)--cycle, nullpen, nullpen);filldraw((100,200)--(100,250)--(150,250)--cycle, nullpen, nullpen);filldraw((100,250)--(150,250)--(150,300)--cycle, nullpen, nullpen);filldraw((100,250)--(100,300)--(150,300)--cycle, nullpen, nullpen);filldraw((100,300)--(150,300)--(150,350)--cycle, nullpen, nullpen);filldraw((100,300)--(100,350)--(150,350)--cycle, nullpen, nullpen);filldraw((150,0)--(150,50)--(200,0)--cycle, nullpen, nullpen);filldraw((150,50)--(200,0)--(200,50)--cycle, nullpen, nullpen);filldraw((150,50)--(150,100)--(200,50)--cycle, nullpen, nullpen);filldraw((150,100)--(200,50)--(200,100)--cycle, nullpen, nullpen);filldraw((150,100)--(150,150)--(200,100)--cycle, nullpen, nullpen);filldraw((150,150)--(200,100)--(200,150)--cycle, nullpen, nullpen);filldraw((150,150)--(150,200)--(200,150)--cycle, nullpen, nullpen);filldraw((150,200)--(200,150)--(200,200)--cycle, nullpen, 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nullpen);filldraw((200,250)--(250,200)--(250,250)--cycle, nullpen, nullpen);filldraw((200,250)--(200,300)--(250,250)--cycle, nullpen, nullpen);filldraw((200,300)--(250,250)--(250,300)--cycle, nullpen, nullpen);filldraw((200,300)--(200,350)--(250,300)--cycle, nullpen, nullpen);filldraw((200,350)--(250,300)--(250,350)--cycle, nullpen, nullpen);filldraw((250,0)--(300,0)--(300,50)--cycle, nullpen, nullpen);filldraw((250,0)--(250,50)--(300,50)--cycle, nullpen, nullpen);filldraw((250,50)--(300,50)--(300,100)--cycle, nullpen, nullpen);filldraw((250,50)--(250,100)--(300,100)--cycle, nullpen, nullpen);filldraw((250,100)--(300,100)--(300,150)--cycle, nullpen, nullpen);filldraw((250,100)--(250,150)--(300,150)--cycle, nullpen, nullpen);filldraw((250,150)--(300,150)--(300,200)--cycle, nullpen, nullpen);filldraw((250,150)--(250,200)--(300,200)--cycle, nullpen, nullpen);filldraw((250,200)--(250,250)--(300,200)--cycle, nullpen, nullpen);filldraw((250,250)--(300,200)--(300,250)--cycle, nullpen, nullpen);filldraw((250,250)--(250,300)--(300,250)--cycle, nullpen, nullpen);filldraw((250,300)--(300,250)--(300,300)--cycle, nullpen, nullpen);filldraw((250,300)--(250,350)--(300,300)--cycle, nullpen, nullpen);filldraw((250,350)--(300,300)--(300,350)--cycle, nullpen, nullpen);filldraw((300,0)--(350,0)--(350,50)--cycle, nullpen, nullpen);filldraw((300,0)--(300,50)--(350,50)--cycle, nullpen, nullpen);filldraw((300,50)--(350,50)--(350,100)--cycle, nullpen, nullpen);filldraw((300,50)--(300,100)--(350,100)--cycle, nullpen, nullpen);filldraw((300,100)--(350,100)--(350,150)--cycle, nullpen, nullpen);filldraw((300,100)--(300,150)--(350,150)--cycle, nullpen, nullpen);filldraw((300,150)--(350,150)--(350,200)--cycle, nullpen, nullpen);filldraw((300,150)--(300,200)--(350,200)--cycle, nullpen, nullpen);filldraw((300,200)--(300,250)--(350,200)--cycle, nullpen, nullpen);filldraw((300,250)--(350,200)--(350,250)--cycle, nullpen, nullpen);filldraw((300,250)--(300,300)--(350,250)--cycle, nullpen, nullpen);filldraw((300,300)--(350,250)--(350,300)--cycle, nullpen, nullpen);filldraw((300,300)--(300,350)--(350,300)--cycle, nullpen, nullpen);filldraw((300,350)--(350,300)--(350,350)--cycle, nullpen, nullpen);\u000adraw((0,    0)--(0,   50)--(0,  100)--(0,  150)--(0,  200)--(0,  250)--(0,  300)--(0,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,    0)--(50,   50)--(50,  100)--(50,  150)--(50,  200)--(50,  250)--(50,  300)--(50,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,    0)--(100,   50)--(100,  100)--(100,  150)--(100,  200)--(100,  250)--(100,  300)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,    0)--(150,   50)--(150,  100)--(150,  150)--(150,  200)--(150,  250)--(150,  300)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(200,   50)--(200,  100)--(200,  150)--(200,  200)--(200,  250)--(200,  300)--(200,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(250,   50)--(250,  100)--(250,  150)--(250,  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
p3937
sg15
L4L
sass(g1693
g3842
g3909
L4L
tp3938
(dp3939
g6
VDensityPlot[x^2 y, {x, -1, 1}, {y, -1, 1}, Mesh->All]
p3940
sg8
(lp3941
(dp3942
g11
(lp3943
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 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200)--(300,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  200)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  300)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(50,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  150)--(200,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,    0)--(150,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  250)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  250)--(150,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,   50)--(50,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  250)--(50,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  150)--(300,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  150)--(150,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  100)--(50,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  150)--(50,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,   50)--(150,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  150)--(200,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  250)--(250,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,   50)--(200,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  350)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  250)--(200,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  150)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,    0)--(150,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  250)--(100,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  250)--(100,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,   50)--(200,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,   50)--(0,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  100)--(0,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  150)--(0,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(0,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(0,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  350)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  100)--(200,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  350)--(300,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  350)--(250,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  300)--(50,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  300)--(300,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(100,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  150)--(150,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,   50)--(250,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  350)--(250,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  350)--(200,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  150)--(100,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  300)--(100,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  150)--(250,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,   50)--(300,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,   50)--(300,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  300)--(300,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(0,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  250)--(150,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  300)--(150,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,   50)--(150,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  100)--(300,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  250)--(200,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  300)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  300)--(250,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  150)--(100,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,    0)--(350,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,   50)--(350,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  100)--(350,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  150)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  200)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  250)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  200)--(200,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,   50)--(250,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  250)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,    0)--(0,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(150,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  250)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,    0)--(100,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,   50)--(100,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  350)--(100,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(150,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(300,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,   50)--(300,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(50,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(50,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(100,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  250)--(300,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  350)--(300,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  100)--(150,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((350,  300)--(350,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(250,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  300)--(200,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(200,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  300)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,   50)--(150,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,    0)--(50,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,   50)--(100,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,    0)--(300,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,   50)--(350,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,   50)--(350,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,    0)--(50,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  150)--(50,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  100)--(100,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  300)--(250,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  300)--(250,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(250,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,    0)--(200,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(100,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  150)--(50,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(50,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  250)--(200,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(150,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  250)--(150,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  100)--(350,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  100)--(350,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  100)--(100,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,   50)--(200,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,   50)--(50,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  100)--(50,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(100,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  100)--(150,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  200)--(250,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  300)--(300,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  200)--(150,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  100)--(150,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  250)--(300,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(200,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  100)--(200,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  300)--(50,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  100)--(200,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  300)--(200,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,   50)--(50,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,    0)--(100,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  150)--(200,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(250,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,    0)--(300,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  300)--(350,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  300)--(350,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,   50)--(100,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,   50)--(250,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  100)--(250,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  250)--(300,  300), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  200)--(50,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,  250)--(50,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,  100)--(250,  100), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  150)--(300,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  350)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  300)--(150,  350), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  150)--(350,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  150)--(350,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((50,  200)--(50,  250), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,  100)--(300,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((100,  150)--(150,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,    0)--(200,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((250,  200)--(300,  200), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,    0)--(350,    0), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((150,  200)--(200,  150), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((300,    0)--(350,   50), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.66667,-0.66667), (350.67,350.67)));\u000a\u005cend{asy}\u000a
p3944
sg15
L5L
sass(g1693
g3842
VFilling
p3945
L0L
tp3946
(dp3947
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Axis]
p3948
sg8
(lp3949
(dp3950
g11
(lp3951
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
p3952
sg15
L1L
sass(g1693
g3842
VHistogram
p3953
L0L
tp3954
(dp3955
g6
VHistogram[{3, 8, 10, 100, 1000, 500, 300, 200, 10, 20, 200, 100, 200, 300, 500}]
p3956
sg8
(lp3957
(dp3958
g11
(lp3959
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
p3960
sg15
L1L
sass(g1693
g3842
g3953
L1L
tp3961
(dp3962
g6
VHistogram[{{1, 2, 10, 5, 50, 20}, {90, 100, 101, 120, 80}}]
p3963
sg8
(lp3964
(dp3965
g11
(lp3966
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
p3967
sg15
L2L
sass(g1693
g3842
VJoined
p3968
L0L
tp3969
(dp3970
g6
VListPlot[Table[n ^ 2, {n, 10}], Joined->True]
p3971
sg8
(lp3972
(dp3973
g11
(lp3974
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,11.237)--(58.586,18.0473)--(98.99,29.3978)--(139.39,45.2884)--(179.8,65.7193)--(220.2,90.6904)--(260.61,120.202)--(301.01,154.253)--(341.41,192.845)--(381.82,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,8.96688)--(416,8.96688), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$4$", (139.3939393939394,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$6$", (220.20202020202024,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$8$", (301.01010101010104,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (381.8181818181818,6.300217651284058), (0,-1), rgb(0, 0, 0));\u000adraw((139.39,8.96688)--(139.39,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((220.2,8.96688)--(220.2,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((301.01,8.96688)--(301.01,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,8.96688)--(381.82,15.6336), rgb(0, 0, 0)+linewidth(0.66667));draw((-2.0202,8.96688)--(-2.0202,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,8.96688)--(18.182,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((38.384,8.96688)--(38.384,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((78.788,8.96688)--(78.788,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((98.99,8.96688)--(98.99,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((119.19,8.96688)--(119.19,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((159.6,8.96688)--(159.6,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((179.8,8.96688)--(179.8,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((200,8.96688)--(200,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((240.4,8.96688)--(240.4,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((260.61,8.96688)--(260.61,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((280.81,8.96688)--(280.81,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((321.21,8.96688)--(321.21,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((341.41,8.96688)--(341.41,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((361.62,8.96688)--(361.62,12.9669), rgb(0, 0, 0)+linewidth(0.66667));draw((402.02,8.96688)--(402.02,12.9669), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((58.586,-12.9443)--(58.586,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$20$", (55.91919191919193,54.36883023162526), (-1,0), rgb(0, 0, 0));\u000alabel("$40$", (55.91919191919193,99.77077614529982), (-1,0), rgb(0, 0, 0));\u000alabel("$60$", (55.91919191919193,145.17272205897436), (-1,0), rgb(0, 0, 0));\u000alabel("$80$", (55.91919191919193,190.5746679726489), (-1,0), rgb(0, 0, 0));\u000alabel("$100$", (55.91919191919193,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((58.586,54.3688)--(65.253,54.3688), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,99.7708)--(65.253,99.7708), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,145.173)--(65.253,145.173), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,190.575)--(65.253,190.575), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,235.977)--(65.253,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,-2.3836)--(62.586,-2.3836), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,20.3174)--(62.586,20.3174), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,31.6679)--(62.586,31.6679), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,43.0183)--(62.586,43.0183), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,65.7193)--(62.586,65.7193), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,77.0698)--(62.586,77.0698), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,88.4203)--(62.586,88.4203), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,111.121)--(62.586,111.121), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,122.472)--(62.586,122.472), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,133.822)--(62.586,133.822), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,156.523)--(62.586,156.523), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,167.874)--(62.586,167.874), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,179.224)--(62.586,179.224), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,201.925)--(62.586,201.925), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,213.276)--(62.586,213.276), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,224.626)--(62.586,224.626), rgb(0, 0, 0)+linewidth(0.66667));draw((58.586,247.327)--(62.586,247.327), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p3975
sg15
L1L
sass(g1693
g3842
VListLinePlot
p3976
L0L
tp3977
(dp3978
g6
VListLinePlot[Table[{n, n ^ 0.5}, {n, 10}]]
p3979
sg8
(lp3980
(dp3981
g11
(lp3982
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
p3983
sg15
L1L
sass(g1693
g3842
g3976
L1L
tp3984
(dp3985
g6
VListLinePlot[{{-2, -1}, {-1, -1}}]
p3986
sg8
(lp3987
(dp3988
g11
(lp3989
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
p3990
sg15
L2L
sass(g1693
g3842
VListPlot
p3991
L0L
tp3992
(dp3993
g6
VListPlot[Table[n ^ 2, {n, 10}]]
p3994
sg8
(lp3995
(dp3996
g11
(lp3997
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
p3998
sg15
L1L
sass(g1693
g3842
VMesh
p3999
L0L
tp4000
(dp4001
g6
VPlot[Sin[Cos[x^2]],{x,-4,4},Mesh->All]
p4002
sg8
(lp4003
(dp4004
g11
(lp4005
sg13
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0.6));dot((396.42857142857144, 12.51822164560671), rgb(0.2472, 0.24, 0.6));dot((397.32142857142856, 10.376881032847248), rgb(0.2472, 0.24, 0.6));dot((397.7678571428571, 9.869317942565202), rgb(0.2472, 0.24, 0.6));dot((398.2142857142857, 9.726571354540944), rgb(0.2472, 0.24, 0.6));dot((399.1071428571429, 10.541699882593006), rgb(0.2472, 0.24, 0.6));dot((400.0, 12.900448208160531), rgb(0.2472, 0.24, 0.6));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,122.851)--(416,122.851), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (0.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (100.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (300.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,120.1838776149527), (0,-1), rgb(0, 0, 0));\u000adraw((0,122.851)--(0,129.517), rgb(0, 0, 0)+linewidth(0.66667));draw((100,122.851)--(100,129.517), rgb(0, 0, 0)+linewidth(0.66667));draw((300,122.851)--(300,129.517), rgb(0, 0, 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(197.33333333333334,55.63131055454669), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,190.06977800869208), (-1,0), rgb(0, 0, 0));\u000adraw((200,55.6313)--(206.67,55.6313), rgb(0, 0, 0)+linewidth(0.66667));draw((200,190.07)--(206.67,190.07), rgb(0, 0, 0)+linewidth(0.66667));draw((200,1.85592)--(204,1.85592), rgb(0, 0, 0)+linewidth(0.66667));draw((200,15.2998)--(204,15.2998), rgb(0, 0, 0)+linewidth(0.66667));draw((200,28.7436)--(204,28.7436), rgb(0, 0, 0)+linewidth(0.66667));draw((200,42.1875)--(204,42.1875), rgb(0, 0, 0)+linewidth(0.66667));draw((200,69.0752)--(204,69.0752), rgb(0, 0, 0)+linewidth(0.66667));draw((200,82.519)--(204,82.519), rgb(0, 0, 0)+linewidth(0.66667));draw((200,95.9629)--(204,95.9629), rgb(0, 0, 0)+linewidth(0.66667));draw((200,109.407)--(204,109.407), rgb(0, 0, 0)+linewidth(0.66667));draw((200,136.294)--(204,136.294), rgb(0, 0, 0)+linewidth(0.66667));draw((200,149.738)--(204,149.738), rgb(0, 0, 0)+linewidth(0.66667));draw((200,163.182)--(204,163.182), rgb(0, 0, 0)+linewidth(0.66667));draw((200,176.626)--(204,176.626), rgb(0, 0, 0)+linewidth(0.66667));draw((200,203.514)--(204,203.514), rgb(0, 0, 0)+linewidth(0.66667));draw((200,216.957)--(204,216.957), rgb(0, 0, 0)+linewidth(0.66667));draw((200,230.401)--(204,230.401), rgb(0, 0, 0)+linewidth(0.66667));draw((200,243.845)--(204,243.845), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4006
sg15
L1L
sass(g1693
g3842
g3999
L1L
tp4007
(dp4008
g6
VPlot[Sin[x], {x,0,4 Pi}, Mesh->Full]
p4009
sg8
(lp4010
(dp4011
g11
(lp4012
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
p4013
sg15
L2L
sass(g1693
g3842
g3999
L2L
tp4014
(dp4015
g6
VDensityPlot[Sin[x y], {x, -2, 2}, {y, -2, 2}, Mesh->Full]
p4016
sg8
(lp4017
(dp4018
g11
(lp4019
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
p4020
sg15
L3L
sass(g1693
g3842
g3999
L3L
tp4021
(dp4022
g6
VPlot3D[Sin[x y], {x, -2, 2}, {y, -2, 2}, Mesh->Full]
p4023
sg8
(lp4024
(dp4025
g11
(lp4026
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,-0.30000000000000004,0.2)--(-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));\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,-0.1402682655638229)--(-0.5,-0.475,-0.1402682655638229)), 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,-0.0801532946078988)--(-0.5,-0.475,-0.0801532946078988)), rgb(0, 0, 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,-0.0400766473039494)--(-0.5,-0.475,-0.0400766473039494)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.0200383236519747)--(-0.5,-0.475,-0.0200383236519747)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.0200383236519747)--(-0.5,-0.475,0.0200383236519747)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.0400766473039494)--(-0.5,-0.475,0.0400766473039494)), rgb(0, 0, 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
p4027
sg15
L4L
sass(g1693
g3842
VParametricPlot
p4028
L0L
tp4029
(dp4030
g6
VParametricPlot[{Sin[u], Cos[3 u]}, {u, 0, 2 Pi}]
p4031
sg8
(lp4032
(dp4033
g11
(lp4034
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
p4035
sg15
L1L
sass(g1693
g3842
g4028
L1L
tp4036
(dp4037
g6
VParametricPlot[{Cos[u] / u, Sin[u] / u}, {u, 0, 50}, PlotRange->0.5]
p4038
sg8
(lp4039
(dp4040
g11
(lp4041
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
p4042
sg15
L2L
sass(g1693
g3842
g4028
L2L
tp4043
(dp4044
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]
p4045
sg8
(lp4046
(dp4047
g11
(lp4048
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
p4049
sg15
L3L
sass(g1693
g3842
VPieChart
p4050
L0L
tp4051
(dp4052
g6
VPieChart[{1, 4, 2}]
p4053
sg8
(lp4054
(dp4055
g11
(lp4056
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
p4057
sg15
L1L
sass(g1693
g3842
g4050
L1L
tp4058
(dp4059
g6
VPieChart[{8, 16, 2}, SectorOrigin -> {Automatic, 1.5}]
p4060
sg8
(lp4061
(dp4062
g11
(lp4063
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
p4064
sg15
L2L
sass(g1693
g3842
g4050
L2L
tp4065
(dp4066
g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}]
p4067
sg8
(lp4068
(dp4069
g11
(lp4070
sg13
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)--(163.56,244.06)--arc((175,175), (163.56, 244.06), (105, 175))--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(241.26,152.43)--arc((175,175), (241.26, 152.43), (163.56, 244.06))--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(105,175)--arc((175,175), (105, 175), (241.26, 152.43))--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
p4071
sg15
L3L
sass(g1693
g3842
g4050
L3L
tp4072
(dp4073
g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}, SectorSpacing -> None]
p4074
sg8
(lp4075
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g11
(lp4077
sg13
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
p4078
sg15
L4L
sass(g1693
g3842
g4050
L4L
tp4079
(dp4080
g6
VPieChart[{{10, 20, 30}, {15, 22, 30}}, ChartLabels -> {a, b, c}]
p4081
sg8
(lp4082
(dp4083
g11
(lp4084
sg13
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)--(163.56,244.06)--arc((175,175), (163.56, 244.06), (105, 175))--cycle, rgb(0.94118, 0.64706, 0.6902), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(241.26,152.43)--arc((175,175), (241.26, 152.43), (163.56, 244.06))--cycle, rgb(0.54902, 0.52157, 0.21176), rgb(0, 0, 0)+linewidth(0.66667));\u000afilldraw((175,175)--(105,175)--arc((175,175), (105, 175), (241.26, 152.43))--cycle, rgb(0.98039, 0.81569, 0.38824), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$a$", (61.334165753292424,240.625), (0,0), rgb(0, 0, 0));\u000alabel("$b$", (240.625,288.66583424670756), (0,0), rgb(0, 0, 0));\u000alabel("$c$", (175.0,43.75), (0,0), rgb(0, 0, 0));\u000alabel("$a$", (148.30601876613665,197.63694692060196), (0,0), rgb(0, 0, 0));\u000alabel("$b$", (201.69398123386338,197.63694692060196), (0,0), rgb(0, 0, 0));\u000alabel("$c$", (169.28179233635143,140.47027221197087), (0,0), rgb(0, 0, 0));\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p4085
sg15
L5L
sass(g1693
g3842
g4050
L5L
tp4086
(dp4087
g6
VPieChart[{1, -1, 3}]
p4088
sg8
(lp4089
(dp4090
g11
(lp4091
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
p4092
sg15
L6L
sass(g1693
g3842
VPlot
p4093
L0L
tp4094
(dp4095
g6
VPlot[{Sin[x], Cos[x], x / 3}, {x, -Pi, Pi}]
p4096
sg8
(lp4097
(dp4098
g11
(lp4099
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
p4100
sg15
L1L
sass(g1693
g3842
g4093
L1L
tp4101
(dp4102
g6
VPlot[Sin[x], {x, 0, 4 Pi}, PlotRange->{{0, 4 Pi}, {0, 1.5}}]
p4103
sg8
(lp4104
(dp4105
g11
(lp4106
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
p4107
sg15
L2L
sass(g1693
g3842
g4093
L2L
tp4108
(dp4109
g6
VPlot[Tan[x], {x, -6, 6}, Mesh->Full]
p4110
sg8
(lp4111
(dp4112
g11
(lp4113
sg13
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p4114
sg15
L3L
sass(g1693
g3842
g4093
L3L
tp4115
(dp4116
g6
VPlot[x^2, {x, -1, 1}, MaxRecursion->5, Mesh->All]
p4117
sg8
(lp4118
(dp4119
g11
(lp4120
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
p4121
sg15
L4L
sass(g1693
g3842
g4093
L4L
tp4122
(dp4123
g6
VPlot[Log[x], {x, 0, 5}, MaxRecursion->0]
p4124
sg8
(lp4125
(dp4126
g11
(lp4127
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, 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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
p4128
sg15
L5L
sass(g1693
g3842
g4093
L5L
tp4129
(dp4130
g6
VPlot[Tan[x], {x, 0, 6}, Mesh->All, PlotRange->{{-1, 5}, {0, 15}}, MaxRecursion->10]
p4131
sg8
(lp4132
(dp4133
g11
(lp4134
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((66.667,    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(0,-1), rgb(0, 0, 0));\u000alabel("$2$", (200.0,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$3$", (266.6666666666667,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (333.3333333333333,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000alabel("$5$", (400.0,-2.6666666666666665), (0,-1), rgb(0, 0, 0));\u000adraw((0,    0)--(0,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((133.33,    0)--(133.33,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((200,    0)--(200,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((266.67,    0)--(266.67,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,    0)--(333.33,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((400,    0)--(400,6.66667), rgb(0, 0, 0)+linewidth(0.66667));draw((13.333,    0)--(13.333,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((26.667,    0)--(26.667,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((40,    0)--(40,    4), rgb(0, 0, 0)+linewidth(0.66667));draw((53.333,    0)--(53.333,    4), rgb(0, 0, 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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
p4135
sg15
L6L
sass(g1693
g3842
g4093
L6L
tp4136
(dp4137
g6
VPlot[3, {x, 0, 1}]
p4138
sg8
(lp4139
(dp4140
g11
(lp4141
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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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((0,57.6832)--(4,57.6832), rgb(0, 0, 0)+linewidth(0.66667));draw((0,65.9236)--(4,65.9236), rgb(0, 0, 0)+linewidth(0.66667));draw((0,74.1641)--(4,74.1641), rgb(0, 0, 0)+linewidth(0.66667));draw((0,90.645)--(4,90.645), rgb(0, 0, 0)+linewidth(0.66667));draw((0,98.8854)--(4,98.8854), rgb(0, 0, 0)+linewidth(0.66667));draw((0,107.126)--(4,107.126), 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((0,140.088)--(4,140.088), rgb(0, 0, 0)+linewidth(0.66667));draw((0,148.328)--(4,148.328), rgb(0, 0, 0)+linewidth(0.66667));draw((0,156.569)--(4,156.569), rgb(0, 0, 0)+linewidth(0.66667));draw((0,173.05)--(4,173.05), rgb(0, 0, 0)+linewidth(0.66667));draw((0,181.29)--(4,181.29), rgb(0, 0, 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
p4142
sg15
L7L
sass(g1693
g3842
VPlot3D
p4143
L0L
tp4144
(dp4145
g6
VPlot3D[x ^ 2 + 1 / y, {x, -1, 1}, {y, 1, 4}]
p4146
sg8
(lp4147
(dp4148
g11
(lp4149
sg13
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0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.16000000000000003)--(-0.5,0.35833333333333334,0.16000000000000003)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.18285714285714288)--(-0.5,0.35833333333333334,0.18285714285714288)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.20571428571428574)--(-0.5,0.35833333333333334,0.20571428571428574)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.25142857142857145)--(-0.5,0.35833333333333334,0.25142857142857145)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.27428571428571435)--(-0.5,0.35833333333333334,0.27428571428571435)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.29714285714285715)--(-0.5,0.35833333333333334,0.29714285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.32000000000000006)--(-0.5,0.35833333333333334,0.32000000000000006)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.36571428571428577)--(-0.5,0.35833333333333334,0.36571428571428577)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.3885714285714286)--(-0.5,0.35833333333333334,0.3885714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.4114285714285715)--(-0.5,0.35833333333333334,0.4114285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,0.3333333333333333,0.43428571428571433)--(-0.5,0.35833333333333334,0.43428571428571433)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4150
sg15
L1L
sass(g1693
g3842
g4143
L1L
tp4151
(dp4152
g6
VPlot3D[x y / (x ^ 2 + y ^ 2 + 1), {x, -2, 2}, {y, -2, 2}]
p4153
sg8
(lp4154
(dp4155
g11
(lp4156
sg13
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g=(-0.5,-0.21429,0.13452)--(-0.5,-0.071429,0.050602)--(-0.35714,-0.071429,0.058824)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,-0.071429,0.050602)--(-0.5,0.071429,-0.050602)--(-0.35714,-0.071429,0.058824)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,0.071429,-0.050602)--(-0.35714,-0.071429,0.058824)--(-0.35714,0.071429,-0.058824)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,0.071429,-0.050602)--(-0.5,0.21429,-0.13452)--(-0.35714,0.071429,-0.058824)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,0.21429,-0.13452)--(-0.35714,0.071429,-0.058824)--(-0.35714,0.21429,-0.14595)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,0.21429,-0.13452)--(-0.5,0.35714,-0.18261)--(-0.35714,0.21429,-0.14595)--cycle;draw(surface(g), rgb(1, 1, 1), nullpen);\u000apath3 g=(-0.5,0.35714,-0.18261)--(-0.35714,0.21429,-0.14595)--(-0.35714,0.35714,-0.18072)--cycle;draw(surface(g), rgb(1, 1, 1), 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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
p4157
sg15
L2L
sass(g1693
g3842
g4143
L2L
tp4158
(dp4159
g6
VPlot3D[x / (x ^ 2 + y ^ 2 + 1), {x, -2, 2}, {y, -2, 2}, Mesh->None]
p4160
sg8
(lp4161
(dp4162
g11
(lp4163
sg13
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0.4)+linewidth(1));\u000adraw(((0.5,-0.5,-0.2)--(0.5,0.5,-0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,0.2)--(-0.5,0.5,0.2)), rgb(0, 0, 0)+linewidth(1.5));\u000adraw(((0.5,-0.5,0.2)--(0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,-0.2)--(-0.5,-0.5,0.2)), rgb(0, 0, 0)+linewidth(1.5));\u000adraw(((0.5,-0.5,-0.2)--(0.5,-0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,0.5,-0.2)--(-0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((0.5,0.5,-0.2)--(0.5,0.5,0.2)), rgb(0.4, 0.4, 0.4)+linewidth(1));\u000adraw(((-0.5,-0.5,-0.2)--(-0.5,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-2",(-0.5, -0.5, -0.2),S);\u000adraw(((-0.25,-0.5,-0.2)--(-0.25,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("-1",(-0.25, -0.5, -0.2),S);\u000adraw(((0.0,-0.5,-0.2)--(0.0,-0.5,-0.15000000000000002)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0",(0.0, -0.5, 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0)+linewidth(1.2));\u000alabel("0.2",(-0.5, -0.5, 0.08071428571428572),W);\u000adraw(((-0.5,-0.5,0.16142857142857145)--(-0.5,-0.45,0.16142857142857145)), rgb(0, 0, 0)+linewidth(1.2));\u000alabel("0.4",(-0.5, -0.5, 0.16142857142857145),W);\u000adraw(((-0.5,-0.5,-0.18160714285714286)--(-0.5,-0.475,-0.18160714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.14125000000000001)--(-0.5,-0.475,-0.14125000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.1210714285714286)--(-0.5,-0.475,-0.1210714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.10089285714285715)--(-0.5,-0.475,-0.10089285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.0605357142857143)--(-0.5,-0.475,-0.0605357142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.04035714285714286)--(-0.5,-0.475,-0.04035714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,-0.02017857142857143)--(-0.5,-0.475,-0.02017857142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.02017857142857143)--(-0.5,-0.475,0.02017857142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.04035714285714286)--(-0.5,-0.475,0.04035714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.0605357142857143)--(-0.5,-0.475,0.0605357142857143)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.10089285714285715)--(-0.5,-0.475,0.10089285714285715)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.1210714285714286)--(-0.5,-0.475,0.1210714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.14125000000000001)--(-0.5,-0.475,0.14125000000000001)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.5,-0.5,0.18160714285714286)--(-0.5,-0.475,0.18160714285714286)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4164
sg15
L3L
sass(g1693
g3842
g4143
L3L
tp4165
(dp4166
g6
VPlot3D[Sin[x y] /(x y), {x, -3, 3}, {y, -3, 3}, Mesh->All]
p4167
sg8
(lp4168
(dp4169
g11
(lp4170
sg13
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0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4171
sg15
L4L
sass(g1693
g3842
g4143
L4L
tp4172
(dp4173
g6
VPlot3D[Log[x + y^2], {x, -1, 1}, {y, -1, 1}]
p4174
sg8
(lp4175
(dp4176
g11
(lp4177
sg13
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rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.10718002612701655)--(-0.48148148148148145,-0.475,-0.10718002612701655)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.09378252286113947)--(-0.48148148148148145,-0.475,-0.09378252286113947)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.08038501959526241)--(-0.48148148148148145,-0.475,-0.08038501959526241)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.053590013063508274)--(-0.48148148148148145,-0.475,-0.053590013063508274)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.040192509797631205)--(-0.48148148148148145,-0.475,-0.040192509797631205)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.026795006531754137)--(-0.48148148148148145,-0.475,-0.026795006531754137)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,-0.013397503265877068)--(-0.48148148148148145,-0.475,-0.013397503265877068)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,0.013397503265877068)--(-0.48148148148148145,-0.475,0.013397503265877068)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,0.026795006531754137)--(-0.48148148148148145,-0.475,0.026795006531754137)), rgb(0, 0, 0)+linewidth(1.2));\u000adraw(((-0.48148148148148145,-0.5,0.040192509797631205)--(-0.48148148148148145,-0.475,0.040192509797631205)), rgb(0, 0, 0)+linewidth(1.2));\u000a\u005cend{asy}\u000a
p4178
sg15
L5L
sass(g1693
g3842
VPlotPoints
p4179
L0L
tp4180
(dp4181
g6
VPlot[Sin[Cos[x^2]],{x,-4,4}, PlotPoints->22]
p4182
sg8
(lp4183
(dp4184
g11
(lp4185
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,122.874)--(416,122.874), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (0.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (100.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (300.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,120.20763495040968), (0,-1), rgb(0, 0, 0));\u000adraw((0,122.874)--(0,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((100,122.874)--(100,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((300,122.874)--(300,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((400,122.874)--(400,129.541), rgb(0, 0, 0)+linewidth(0.66667));draw((25,122.874)--(25,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((50,122.874)--(50,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((75,122.874)--(75,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((125,122.874)--(125,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((150,122.874)--(150,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((175,122.874)--(175,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((225,122.874)--(225,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((250,122.874)--(250,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((275,122.874)--(275,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((325,122.874)--(325,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((350,122.874)--(350,126.874), rgb(0, 0, 0)+linewidth(0.66667));draw((375,122.874)--(375,126.874), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.5$", (197.33333333333334,55.64076004204467), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,190.10784319210805), (-1,0), rgb(0, 0, 0));\u000adraw((200,55.6408)--(206.67,55.6408), rgb(0, 0, 0)+linewidth(0.66667));draw((200,190.108)--(206.67,190.108), rgb(0, 0, 0)+linewidth(0.66667));draw((200,1.85393)--(204,1.85393), rgb(0, 0, 0)+linewidth(0.66667));draw((200,15.3006)--(204,15.3006), rgb(0, 0, 0)+linewidth(0.66667));draw((200,28.7473)--(204,28.7473), rgb(0, 0, 0)+linewidth(0.66667));draw((200,42.1941)--(204,42.1941), rgb(0, 0, 0)+linewidth(0.66667));draw((200,69.0875)--(204,69.0875), rgb(0, 0, 0)+linewidth(0.66667));draw((200,82.5342)--(204,82.5342), rgb(0, 0, 0)+linewidth(0.66667));draw((200,95.9809)--(204,95.9809), rgb(0, 0, 0)+linewidth(0.66667));draw((200,109.428)--(204,109.428), rgb(0, 0, 0)+linewidth(0.66667));draw((200,136.321)--(204,136.321), rgb(0, 0, 0)+linewidth(0.66667));draw((200,149.768)--(204,149.768), rgb(0, 0, 0)+linewidth(0.66667));draw((200,163.214)--(204,163.214), rgb(0, 0, 0)+linewidth(0.66667));draw((200,176.661)--(204,176.661), rgb(0, 0, 0)+linewidth(0.66667));draw((200,203.555)--(204,203.555), rgb(0, 0, 0)+linewidth(0.66667));draw((200,217.001)--(204,217.001), rgb(0, 0, 0)+linewidth(0.66667));draw((200,230.448)--(204,230.448), rgb(0, 0, 0)+linewidth(0.66667));draw((200,243.895)--(204,243.895), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4186
sg15
L1L
sass(g1693
g3842
VPlotRange
p4187
L0L
tp4188
(dp4189
g6
VPlot[Sin[Cos[x^2]],{x,-4,4}, PlotRange -> All]
p4190
sg8
(lp4191
(dp4192
g11
(lp4193
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-4$", (0.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000alabel("$-2$", (100.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (300.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (400.0,120.94012671131404), (0,-1), rgb(0, 0, 0));\u000adraw((0,123.607)--(0,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((100,123.607)--(100,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((300,123.607)--(300,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((25,123.607)--(25,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((50,123.607)--(50,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((75,123.607)--(75,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((125,123.607)--(125,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((150,123.607)--(150,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((175,123.607)--(175,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((225,123.607)--(225,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((250,123.607)--(250,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((275,123.607)--(275,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((325,123.607)--(325,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((350,123.607)--(350,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((375,123.607)--(375,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-0.5$", (197.33333333333334,50.15993403665952), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,197.05365271930194), (-1,0), rgb(0, 0, 0));\u000adraw((200,50.1599)--(206.67,50.1599), rgb(0, 0, 0)+linewidth(0.66667));draw((200,197.054)--(206.67,197.054), rgb(0, 0, 0)+linewidth(0.66667));draw((200,6.09182)--(204,6.09182), rgb(0, 0, 0)+linewidth(0.66667));draw((200,20.7812)--(204,20.7812), rgb(0, 0, 0)+linewidth(0.66667));draw((200,35.4706)--(204,35.4706), rgb(0, 0, 0)+linewidth(0.66667));draw((200,64.8493)--(204,64.8493), rgb(0, 0, 0)+linewidth(0.66667));draw((200,79.5387)--(204,79.5387), rgb(0, 0, 0)+linewidth(0.66667));draw((200,94.228)--(204,94.228), rgb(0, 0, 0)+linewidth(0.66667));draw((200,108.917)--(204,108.917), rgb(0, 0, 0)+linewidth(0.66667));draw((200,138.296)--(204,138.296), rgb(0, 0, 0)+linewidth(0.66667));draw((200,152.986)--(204,152.986), rgb(0, 0, 0)+linewidth(0.66667));draw((200,167.675)--(204,167.675), rgb(0, 0, 0)+linewidth(0.66667));draw((200,182.364)--(204,182.364), rgb(0, 0, 0)+linewidth(0.66667));draw((200,211.743)--(204,211.743), rgb(0, 0, 0)+linewidth(0.66667));draw((200,226.432)--(204,226.432), rgb(0, 0, 0)+linewidth(0.66667));draw((200,241.122)--(204,241.122), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4194
sg15
L1L
sass(g1693
g3842
VPolarPlot
p4195
L0L
tp4196
(dp4197
g6
VPolarPlot[Cos[5t], {t, 0, Pi}]
p4198
sg8
(lp4199
(dp4200
g11
(lp4201
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
p4202
sg15
L1L
sass(g1693
g3842
g4195
L1L
tp4203
(dp4204
g6
VPolarPlot[{1, 1 + Sin[20 t] / 5}, {t, 0, 2 Pi}]
p4205
sg8
(lp4206
(dp4207
g11
(lp4208
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
p4209
sg15
L2L
sass(g1693
g3842
VTop
p4210
L0L
tp4211
(dp4212
g6
VListLinePlot[Table[Sin[x], {x, -5, 5, 0.5}], Filling->Axis|Top|Bottom]
p4213
sg8
(lp4214
(dp4215
g11
(lp4216
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 4.1202cm);\u000adraw((18.182,231.632)--(36.364,233.728)--(54.545,208.862)--(72.727,163.123)--(90.909,107.709)--(109.09,56.1877)--(127.27,21.1726)--(145.45,11.237)--(163.64,28.8134)--(181.82,69.5985)--(200,123.607)--(218.18,177.615)--(236.36,218.4)--(254.55,235.977)--(272.73,226.041)--(290.91,191.026)--(309.09,139.504)--(327.27,84.0904)--(345.45,38.3515)--(363.64,13.4861)--(381.82,15.582), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$5$", (90.9090909090909,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$10$", (181.8181818181818,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$15$", (272.72727272727275,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000alabel("$20$", (363.6363636363636,120.94013108331227), (0,-1), rgb(0, 0, 0));\u000adraw((90.909,123.607)--(90.909,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((181.82,123.607)--(181.82,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((272.73,123.607)--(272.73,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((363.64,123.607)--(363.64,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((18.182,123.607)--(18.182,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((36.364,123.607)--(36.364,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((54.545,123.607)--(54.545,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((72.727,123.607)--(72.727,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((109.09,123.607)--(109.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((127.27,123.607)--(127.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((145.45,123.607)--(145.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((163.64,123.607)--(163.64,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((200,123.607)--(200,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((218.18,123.607)--(218.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((236.36,123.607)--(236.36,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((254.55,123.607)--(254.55,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((290.91,123.607)--(290.91,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((309.09,123.607)--(309.09,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((327.27,123.607)--(327.27,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((345.45,123.607)--(345.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((381.82,123.607)--(381.82,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((400,123.607)--(400,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,10.954786817167548), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.28079228357325), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.93280321638466), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,236.25880868279035), (-1,0), rgb(0, 0, 0));\u000adraw((0,10.9548)--(6.6667,10.9548), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.2808)--(6.6667,67.2808), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.933)--(6.6667,179.933), rgb(0, 0, 0)+linewidth(0.66667));draw((0,236.259)--(6.6667,236.259), rgb(0, 0, 0)+linewidth(0.66667));draw((0,-0.310414)--(4,-0.310414), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.22)--(4,22.22), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.4852)--(4,33.4852), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.7504)--(4,44.7504), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.0156)--(4,56.0156), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.546)--(4,78.546), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8112)--(4,89.8112), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.076)--(4,101.076), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.342)--(4,112.342), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.872)--(4,134.872), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.137)--(4,146.137), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.402)--(4,157.402), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.668)--(4,168.668), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.198)--(4,191.198), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.463)--(4,202.463), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.728)--(4,213.728), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.994)--(4,224.994), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.524)--(4,247.524), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p4217
sg15
L1L
sass(g1693
VLogic
p4218
VAllTrue
p4219
L0L
tp4220
(dp4221
g6
VAllTrue[{2, 4, 6}, EvenQ]
p4222
sg8
(lp4223
(dp4224
g11
(lp4225
sg13
V\u005ctext{True}
p4226
sg15
L1L
sass(g1693
g4218
g4219
L1L
tp4227
(dp4228
g6
VAllTrue[{2, 4, 7}, EvenQ]
p4229
sg8
(lp4230
(dp4231
g11
(lp4232
sg13
V\u005ctext{False}
p4233
sg15
L2L
sass(g1693
g4218
VAnd
p4234
L0L
tp4235
(dp4236
g6
VTrue && True && False
p4237
sg8
(lp4238
(dp4239
g11
(lp4240
sg13
V\u005ctext{False}
p4241
sg15
L1L
sass(g1693
g4218
g4234
L1L
tp4242
(dp4243
g6
Va && b && True && c
p4244
sg8
(lp4245
(dp4246
g11
(lp4247
sg13
Va\u005ctext{\u005c&\u005c&}b\u005ctext{\u005c&\u005c&}c
p4248
sg15
L2L
sass(g1693
g4218
VAnyTrue
p4249
L0L
tp4250
(dp4251
g6
VAnyTrue[{1, 3, 5}, EvenQ]
p4252
sg8
(lp4253
(dp4254
g11
(lp4255
sg13
V\u005ctext{False}
p4256
sg15
L1L
sass(g1693
g4218
g4249
L1L
tp4257
(dp4258
g6
VAnyTrue[{1, 4, 5}, EvenQ]
p4259
sg8
(lp4260
(dp4261
g11
(lp4262
sg13
V\u005ctext{True}
p4263
sg15
L2L
sass(g1693
g4218
VEquivalent
p4264
L0L
tp4265
(dp4266
g6
VEquivalent[True, True, False]
p4267
sg8
(lp4268
(dp4269
g11
(lp4270
sg13
V\u005ctext{False}
p4271
sg15
L1L
sass(g1693
g4218
g4264
L1L
tp4272
(dp4273
g6
VEquivalent[a, b, c]
p4274
sg8
(lp4275
(dp4276
g11
(lp4277
sg13
Va\u29e6b\u29e6c
p4278
sg15
L2L
sass(g1693
g4218
g4264
L2L
tp4279
(dp4280
g6
VEquivalent[a, b, True, c]
p4281
sg8
(lp4282
(dp4283
g11
(lp4284
sg13
Va\u005ctext{\u005c&\u005c&}b\u005ctext{\u005c&\u005c&}c
p4285
sg15
L3L
sass(g1693
g4218
VImplies
p4286
L0L
tp4287
(dp4288
g6
VImplies[False, a]
p4289
sg8
(lp4290
(dp4291
g11
(lp4292
sg13
V\u005ctext{True}
p4293
sg15
L1L
sass(g1693
g4218
g4286
L1L
tp4294
(dp4295
g6
VImplies[True, a]
p4296
sg8
(lp4297
(dp4298
g11
(lp4299
sg13
g542
sg15
L2L
sass(g1693
g4218
g4286
L2L
tp4300
(dp4301
g6
VImplies[a, Implies[b, Implies[True, c]]]
p4302
sg8
(lp4303
(dp4304
g11
(lp4305
sg13
Va\uf523b\uf523c
p4306
sg15
L3L
sass(g1693
g4218
VNoneTrue
p4307
L0L
tp4308
(dp4309
g6
VNoneTrue[{1, 3, 5}, EvenQ]
p4310
sg8
(lp4311
(dp4312
g11
(lp4313
sg13
V\u005ctext{True}
p4314
sg15
L1L
sass(g1693
g4218
g4307
L1L
tp4315
(dp4316
g6
VNoneTrue[{1, 4, 5}, EvenQ]
p4317
sg8
(lp4318
(dp4319
g11
(lp4320
sg13
V\u005ctext{False}
p4321
sg15
L2L
sass(g1693
g4218
VNot
p4322
L0L
tp4323
(dp4324
g6
V!True
p4325
sg8
(lp4326
(dp4327
g11
(lp4328
sg13
V\u005ctext{False}
p4329
sg15
L1L
sass(g1693
g4218
g4322
L1L
tp4330
(dp4331
g6
V!False
p4332
sg8
(lp4333
(dp4334
g11
(lp4335
sg13
V\u005ctext{True}
p4336
sg15
L2L
sass(g1693
g4218
g4322
L2L
tp4337
(dp4338
g6
V!b
p4339
sg8
(lp4340
(dp4341
g11
(lp4342
sg13
V!b
p4343
sg15
L3L
sass(g1693
g4218
VOr
p4344
L0L
tp4345
(dp4346
g6
VFalse || True
p4347
sg8
(lp4348
(dp4349
g11
(lp4350
sg13
V\u005ctext{True}
p4351
sg15
L1L
sass(g1693
g4218
g4344
L1L
tp4352
(dp4353
g6
Va || False || b
p4354
sg8
(lp4355
(dp4356
g11
(lp4357
sg13
Va\u005ctext{$\u005cvert$$\u005cvert$}b
p4358
sg15
L2L
sass(g1693
g4218
VXor
p4359
L0L
tp4360
(dp4361
g6
VXor[False, True]
p4362
sg8
(lp4363
(dp4364
g11
(lp4365
sg13
V\u005ctext{True}
p4366
sg15
L1L
sass(g1693
g4218
g4359
L1L
tp4367
(dp4368
g6
VXor[True, True]
p4369
sg8
(lp4370
(dp4371
g11
(lp4372
sg13
V\u005ctext{False}
p4373
sg15
L2L
sass(g1693
g4218
g4359
L2L
tp4374
(dp4375
g6
VXor[a, False, b]
p4376
sg8
(lp4377
(dp4378
g11
(lp4379
sg13
Va\u22bbb
p4380
sg15
L3L
sass(g1693
VScoping
p4381
VBegin
p4382
L0L
tp4383
(dp4384
g6
VBegin["test`"]
p4385
sg8
(lp4386
(dp4387
g11
(lp4388
sg13
V\u005ctext{test`}
p4389
sg15
L1L
sass(g1693
g4381
g4382
L1L
tp4390
(dp4391
g6
V{$Context, $ContextPath}
p4392
sg8
(lp4393
(dp4394
g11
(lp4395
sg13
V\u005cleft\u005c{\u005ctext{test`},\u005cleft\u005c{\u005ctext{Global`},\u005ctext{System`}\u005cright\u005c}\u005cright\u005c}
p4396
sg15
L2L
sass(g1693
g4381
g4382
L2L
tp4397
(dp4398
g6
VContext[newsymbol]
p4399
sg8
(lp4400
(dp4401
g11
(lp4402
sg13
V\u005ctext{test`}
p4403
sg15
L3L
sass(g1693
g4381
g4382
L3L
tp4404
(dp4405
g6
VEnd[]
p4406
sg8
(lp4407
(dp4408
g11
(lp4409
sg13
V\u005ctext{test`}
p4410
sg15
L4L
sass(g1693
g4381
g4382
L4L
tp4411
(dp4412
g6
VEnd[]
p4413
sg8
(lp4414
(dp4415
g11
(lp4416
(dp4417
g149
I01
sg150
VEnd
p4418
sg152
Vnoctx
p4419
sg154
VEnd::noctx
p4420
sg156
VNo previous context defined.
p4421
sasg13
V\u005ctext{Global`}
p4422
sg15
L5L
sass(g1693
g4381
VBeginPackage
p4423
L0L
tp4424
(dp4425
g6
VBeginPackage["test`"]
p4426
sg8
(lp4427
(dp4428
g11
(lp4429
sg13
V\u005ctext{test`}
p4430
sg15
L1L
sass(g1693
g4381
VBlock
p4431
L0L
tp4432
(dp4433
g6
Vn = 10
p4434
sg8
(lp4435
(dp4436
g11
(lp4437
sg13
V10
p4438
sg15
L1L
sass(g1693
g4381
g4431
L1L
tp4439
(dp4440
g6
VBlock[{n = 5}, n ^ 2]
p4441
sg8
(lp4442
(dp4443
g11
(lp4444
sg13
V25
p4445
sg15
L2L
sass(g1693
g4381
g4431
L2L
tp4446
(dp4447
g6
g2188
sg8
(lp4448
(dp4449
g11
(lp4450
sg13
V10
p4451
sg15
L3L
sass(g1693
g4381
g4431
L3L
tp4452
(dp4453
g6
VBlock[{x = n+2, n}, {x, n}]
p4454
sg8
(lp4455
(dp4456
g11
(lp4457
sg13
V\u005cleft\u005c{12,10\u005cright\u005c}
p4458
sg15
L4L
sass(g1693
g4381
g4431
L4L
tp4459
(dp4460
g6
VBlock[{x + y}, x]
p4461
sg8
(lp4462
(dp4463
g11
(lp4464
(dp4465
g149
I01
sg150
VBlock
p4466
sg152
Vlvsym
p4467
sg154
VBlock::lvsym
p4468
sg156
VLocal variable specification contains x + y, which is not a symbol or an assignment to a symbol.
p4469
sasg13
g195
sg15
L5L
sass(g1693
g4381
g4431
L5L
tp4470
(dp4471
g6
VBlock[{x, x}, x]
p4472
sg8
(lp4473
(dp4474
g11
(lp4475
(dp4476
g149
I01
sg150
VBlock
p4477
sg152
Vdup
p4478
sg154
VBlock::dup
p4479
sg156
VDuplicate local variable x found in local variable specification.
p4480
sasg13
g195
sg15
L6L
sass(g1693
g4381
VContext
p4481
L0L
tp4482
(dp4483
g6
VContext[a]
p4484
sg8
(lp4485
(dp4486
g11
(lp4487
sg13
V\u005ctext{Global`}
p4488
sg15
L1L
sass(g1693
g4381
g4481
L1L
tp4489
(dp4490
g6
VContext[b`c]
p4491
sg8
(lp4492
(dp4493
g11
(lp4494
sg13
V\u005ctext{b`}
p4495
sg15
L2L
sass(g1693
g4381
g4481
L2L
tp4496
(dp4497
g6
VInputForm[Context[]]
p4498
sg8
(lp4499
(dp4500
g11
(lp4501
sg13
V\u005ctext{"Global`"}
p4502
sg15
L3L
sass(g1693
g4381
V$ContextPath
p4503
L0L
tp4504
(dp4505
g6
V$ContextPath // InputForm
p4506
sg8
(lp4507
(dp4508
g11
(lp4509
sg13
V\u005cleft\u005c{\u005ctext{"Global`"}, \u005ctext{"System`"}\u005cright\u005c}
p4510
sg15
L1L
sass(g1693
g4381
V$Context
p4511
L0L
tp4512
(dp4513
g6
V$Context
p4514
sg8
(lp4515
(dp4516
g11
(lp4517
sg13
V\u005ctext{Global`}
p4518
sg15
L1L
sass(g1693
g4381
VContexts
p4519
L0L
tp4520
(dp4521
g6
Vx = 5;
p4522
sg8
(lp4523
(dp4524
g11
(lp4525
sg13
Nsg15
L1L
sass(g1693
g4381
g4519
L1L
tp4526
(dp4527
g6
VContexts[] // InputForm
p4528
sg8
(lp4529
(dp4530
g11
(lp4531
sg13
V\u005cleft\u005c{\u005ctext{"CombinatoricaOld`"}, \u005ctext{"Global`"}, \u005ctext{"ImportExport`"}, \u005ctext{"Internal`"}, \u005ctext{"Settings`"}, \u005ctext{"System`"}, \u005ctext{"System`Convert`B64Dump`"}, \u005ctext{"System`Convert`CommonDump`"}, \u005ctext{"System`Convert`Image`"}, \u005ctext{"System`Convert`JSONDump`"}, \u005ctext{"System`Convert`TableDump`"}, \u005ctext{"System`Convert`TextDump`"}, \u005ctext{"System`ConvertersDump`"}, \u005ctext{"System`Private`"}, \u005ctext{"XML`"}, \u005ctext{"XML`Parser`"}\u005cright\u005c}
p4532
sg15
L2L
sass(g1693
g4381
VModule
p4533
L0L
tp4534
(dp4535
g6
Vx = 10;
p4536
sg8
(lp4537
(dp4538
g11
(lp4539
sg13
Nsg15
L1L
sass(g1693
g4381
g4533
L1L
tp4540
(dp4541
g6
VModule[{x=x}, x=x+1; x]
p4542
sg8
(lp4543
(dp4544
g11
(lp4545
sg13
V11
p4546
sg15
L2L
sass(g1693
g4381
g4533
L2L
tp4547
(dp4548
g6
g195
sg8
(lp4549
(dp4550
g11
(lp4551
sg13
V10
p4552
sg15
L3L
sass(g1693
g4381
g4533
L3L
tp4553
(dp4554
g6
Vt === Module[{t}, t]
p4555
sg8
(lp4556
(dp4557
g11
(lp4558
sg13
V\u005ctext{False}
p4559
sg15
L4L
sass(g1693
g4381
g4533
L4L
tp4560
(dp4561
g6
VModule[{t=x}, x = x + 1; t]
p4562
sg8
(lp4563
(dp4564
g11
(lp4565
sg13
V10
p4566
sg15
L5L
sass(g1693
g4381
g4533
L5L
tp4567
(dp4568
g6
g195
sg8
(lp4569
(dp4570
g11
(lp4571
sg13
V11
p4572
sg15
L6L
sass(g1693
g4381
g4533
L6L
tp4573
(dp4574
g6
VModule[{a}, Block[{a}, a]]
p4575
sg8
(lp4576
(dp4577
g11
(lp4578
sg13
g542
sg15
L7L
sass(g1693
g4381
g4533
L7L
tp4579
(dp4580
g6
VModule[{a}, Block[{}, a]]
p4581
sg8
(lp4582
(dp4583
g11
(lp4584
sg13
V\u005ctext{a\u005c$5}
p4585
sg15
L8L
sass(g1693
g4381
V$ModuleNumber
p4586
L0L
tp4587
(dp4588
g6
VUnprotect[$ModuleNumber]
p4589
sg8
(lp4590
(dp4591
g11
(lp4592
sg13
Nsg15
L1L
sass(g1693
g4381
g4586
L1L
tp4593
(dp4594
g6
V$ModuleNumber = 20;
p4595
sg8
(lp4596
(dp4597
g11
(lp4598
sg13
Nsg15
L2L
sass(g1693
g4381
g4586
L2L
tp4599
(dp4600
g6
VModule[{x}, x]
p4601
sg8
(lp4602
(dp4603
g11
(lp4604
sg13
V\u005ctext{x\u005c$20}
p4605
sg15
L3L
sass(g1693
g4381
g4586
L3L
tp4606
(dp4607
g6
V$ModuleNumber = x;
p4608
sg8
(lp4609
(dp4610
g11
(lp4611
(dp4612
g149
I01
sg150
V$ModuleNumber
p4613
sg152
Vset
p4614
sg154
V$ModuleNumber::set
p4615
sg156
VCannot set $ModuleNumber to x; value must be a positive integer.
p4616
sasg13
Nsg15
L4L
sass(g1693
g4381
VUnique
p4617
L0L
tp4618
(dp4619
g6
VUnique[]
p4620
sg8
(lp4621
(dp4622
g11
(lp4623
sg13
V\u005ctext{\u005c$9}
p4624
sg15
L1L
sass(g1693
g4381
g4617
L1L
tp4625
(dp4626
g6
VUnique[sym]
p4627
sg8
(lp4628
(dp4629
g11
(lp4630
sg13
V\u005ctext{sym\u005c$1}
p4631
sg15
L2L
sass(g1693
g4381
g4617
L2L
tp4632
(dp4633
g6
VUnique["x"]
p4634
sg8
(lp4635
(dp4636
g11
(lp4637
sg13
V\u005ctext{x10}
p4638
sg15
L3L
sass(g1693
g4381
g4617
L7L
tp4639
(dp4640
g6
V{$ModuleNumber, Unique[x], $ModuleNumber}
p4641
sg8
(lp4642
(dp4643
g11
(lp4644
sg13
V\u005cleft\u005c{2,\u005ctext{x\u005c$2},3\u005cright\u005c}
p4645
sg15
L4L
sass(g1693
g4381
g4617
L8L
tp4646
(dp4647
g6
V{Module[{x}, x], Unique[x]}
p4648
sg8
(lp4649
(dp4650
g11
(lp4651
sg13
V\u005cleft\u005c{\u005ctext{x\u005c$3},\u005ctext{x\u005c$4}\u005cright\u005c}
p4652
sg15
L5L
sass(g1693
g4381
g4617
L9L
tp4653
(dp4654
g6
VUnique[{x, "s"}, Flat ^ Listable ^ Orderless]
p4655
sg8
(lp4656
(dp4657
g11
(lp4658
(dp4659
g149
I01
sg150
VUnique
p4660
sg152
Vattnf
p4661
sg154
VUnique::attnf
p4662
sg156
VFlat ^ Listable ^ Orderless is not a known attribute.
p4663
sasg13
V\u005ctext{Unique}\u005cleft[\u005cleft\u005c{x,\u005ctext{s}\u005cright\u005c},\u005ctext{Flat}^{\u005ctext{Listable}^{\u005ctext{Orderless}}}\u005cright]
p4664
sg15
L6L
sass(g1693
g4381
g4617
L10L
tp4665
(dp4666
g6
VUnique[x + y]
p4667
sg8
(lp4668
(dp4669
g11
(lp4670
(dp4671
g149
I01
sg150
VUnique
p4672
sg152
Vusym
p4673
sg154
VUnique::usym
p4674
sg156
Vx + y is not a symbol or a valid symbol name.
p4675
sasg13
V\u005ctext{Unique}\u005cleft[x+y\u005cright]
p4676
sg15
L7L
sass(g1693
g4381
VWith
p4677
L0L
tp4678
(dp4679
g6
Vn = 10
p4680
sg8
(lp4681
(dp4682
g11
(lp4683
sg13
V10
p4684
sg15
L1L
sass(g1693
g4381
g4677
L1L
tp4685
(dp4686
g6
VWith[{x = a}, (1 + x^2) &]
p4687
sg8
(lp4688
(dp4689
g11
(lp4690
sg13
V1+a^2\u005c&
p4691
sg15
L2L
sass(g1693
g4381
g4677
L2L
tp4692
(dp4693
g6
VWith[{x=y}, Hold[x]]
p4694
sg8
(lp4695
(dp4696
g11
(lp4697
sg13
V\u005ctext{Hold}\u005cleft[y\u005cright]
p4698
sg15
L3L
sass(g1693
g4381
g4677
L3L
tp4699
(dp4700
g6
VTable[With[{i=j}, Hold[i]],{j,1,4}]
p4701
sg8
(lp4702
(dp4703
g11
(lp4704
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}
p4705
sg15
L4L
sass(g1693
g4381
g4677
L4L
tp4706
(dp4707
g6
Vx=5; With[{x=x}, Hold[x]]
p4708
sg8
(lp4709
(dp4710
g11
(lp4711
sg13
V\u005ctext{Hold}\u005cleft[5\u005cright]
p4712
sg15
L5L
sass(g1693
g4381
g4677
L5L
tp4713
(dp4714
g6
V{Block[{x = 3}, Hold[x]], With[{x = 3}, Hold[x]]}
p4715
sg8
(lp4716
(dp4717
g11
(lp4718
sg13
V\u005cleft\u005c{\u005ctext{Hold}\u005cleft[x\u005cright],\u005ctext{Hold}\u005cleft[3\u005cright]\u005cright\u005c}
p4719
sg15
L6L
sass(g1693
g4381
g4677
L6L
tp4720
(dp4721
g6
Vx=.; ReleaseHold /@ %
p4722
sg8
(lp4723
(dp4724
g11
(lp4725
sg13
V\u005cleft\u005c{x,3\u005cright\u005c}
p4726
sg15
L7L
sass(g1693
g4381
g4677
L7L
tp4727
(dp4728
g6
VWith[{e = y}, Function[{x,y}, e*x*y]]
p4729
sg8
(lp4730
(dp4731
g11
(lp4732
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{\u005ctext{x\u005c$},\u005ctext{y\u005c$}\u005cright\u005c},y \u005ctext{x\u005c$} \u005ctext{y\u005c$}\u005cright]
p4733
sg15
L8L
sass(g1693
VRandom number generation
p4734
VRandomChoice
p4735
L0L
tp4736
(dp4737
g6
VSeedRandom[42]
p4738
sg8
(lp4739
(dp4740
g11
(lp4741
sg13
Nsg15
L1L
sass(g1693
g4734
g4735
L1L
tp4742
(dp4743
g6
VRandomChoice[{a, b, c}]
p4744
sg8
(lp4745
(dp4746
g11
(lp4747
sg13
V\u005cleft\u005c{c\u005cright\u005c}
p4748
sg15
L2L
sass(g1693
g4734
g4735
L2L
tp4749
(dp4750
g6
VSeedRandom[42]
p4751
sg8
(lp4752
(dp4753
g11
(lp4754
sg13
Nsg15
L3L
sass(g1693
g4734
g4735
L3L
tp4755
(dp4756
g6
VRandomChoice[{a, b, c}, 20]
p4757
sg8
(lp4758
(dp4759
g11
(lp4760
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}
p4761
sg15
L4L
sass(g1693
g4734
g4735
L4L
tp4762
(dp4763
g6
VSeedRandom[42]
p4764
sg8
(lp4765
(dp4766
g11
(lp4767
sg13
Nsg15
L5L
sass(g1693
g4734
g4735
L5L
tp4768
(dp4769
g6
VRandomChoice[{"a", {1, 2}, x, {}}, 10]
p4770
sg8
(lp4771
(dp4772
g11
(lp4773
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}
p4774
sg15
L6L
sass(g1693
g4734
g4735
L6L
tp4775
(dp4776
g6
VSeedRandom[42]
p4777
sg8
(lp4778
(dp4779
g11
(lp4780
sg13
Nsg15
L7L
sass(g1693
g4734
g4735
L7L
tp4781
(dp4782
g6
VRandomChoice[{a, b, c}, {5, 2}]
p4783
sg8
(lp4784
(dp4785
g11
(lp4786
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}
p4787
sg15
L8L
sass(g1693
g4734
g4735
L8L
tp4788
(dp4789
g6
VSeedRandom[42]
p4790
sg8
(lp4791
(dp4792
g11
(lp4793
sg13
Nsg15
L9L
sass(g1693
g4734
g4735
L9L
tp4794
(dp4795
g6
VRandomChoice[{1, 100, 5} -> {a, b, c}, 20]
p4796
sg8
(lp4797
(dp4798
g11
(lp4799
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}
p4800
sg15
L10L
sass(g1693
g4734
VRandomComplex
p4801
L0L
tp4802
(dp4803
g6
VRandomComplex[]
p4804
sg8
(lp4805
(dp4806
g11
(lp4807
sg13
V0.23078+0.923057 I
p4808
sg15
L1L
sass(g1693
g4734
g4801
L2L
tp4809
(dp4810
g6
VRandomComplex[{1+I, 5+5I}]
p4811
sg8
(lp4812
(dp4813
g11
(lp4814
sg13
V3.73527+3.82022 I
p4815
sg15
L2L
sass(g1693
g4734
g4801
L4L
tp4816
(dp4817
g6
VRandomComplex[1+I, 5]
p4818
sg8
(lp4819
(dp4820
g11
(lp4821
sg13
V\u005cleft\u005c{0.225242+0.0753461 I,0.975284+0.584882 I,0.136398+0.122174 I,0.214556+0.474608 I,0.882926+0.441638 I\u005cright\u005c}
p4822
sg15
L3L
sass(g1693
g4734
g4801
L5L
tp4823
(dp4824
g6
VRandomComplex[{1+I, 2+2I}, {2, 2}]
p4825
sg8
(lp4826
(dp4827
g11
(lp4828
sg13
V\u005cleft\u005c{\u005cleft\u005c{1.67334+1.42782 I,1.25867+1.92694 I\u005cright\u005c},\u005cleft\u005c{1.75879+1.76973 I,1.45472+1.01958 I\u005cright\u005c}\u005cright\u005c}
p4829
sg15
L4L
sass(g1693
g4734
VRandomInteger
p4830
L0L
tp4831
(dp4832
g6
VRandomInteger[{1, 5}]
p4833
sg8
(lp4834
(dp4835
g11
(lp4836
sg13
V3
p4837
sg15
L1L
sass(g1693
g4734
g4830
L2L
tp4838
(dp4839
g6
VRandomInteger[100, {2, 3}] // TableForm
p4840
sg8
(lp4841
(dp4842
g11
(lp4843
sg13
V\u005cbegin{array}{ccc} 34 & 16 & 26\u005c\u005c 2 & 45 & 13\u005cend{array}
p4844
sg15
L2L
sass(g1693
g4734
g4830
L3L
tp4845
(dp4846
g6
VpreviousState = $RandomState;
p4847
sg8
(lp4848
(dp4849
g11
(lp4850
sg13
Nsg15
L3L
sass(g1693
g4734
g4830
L4L
tp4851
(dp4852
g6
VRandomInteger[]
p4853
sg8
(lp4854
(dp4855
g11
(lp4856
sg13
V1
p4857
sg15
L4L
sass(g1693
g4734
g4830
L5L
tp4858
(dp4859
g6
V$RandomState != previousState
p4860
sg8
(lp4861
(dp4862
g11
(lp4863
sg13
V\u005ctext{True}
p4864
sg15
L5L
sass(g1693
g4734
VRandomReal
p4865
L0L
tp4866
(dp4867
g6
VRandomReal[]
p4868
sg8
(lp4869
(dp4870
g11
(lp4871
sg13
V0.295547
p4872
sg15
L1L
sass(g1693
g4734
g4865
L2L
tp4873
(dp4874
g6
VRandomReal[{1, 5}]
p4875
sg8
(lp4876
(dp4877
g11
(lp4878
sg13
V2.60748
p4879
sg15
L2L
sass(g1693
g4734
VRandomSample
p4880
L0L
tp4881
(dp4882
g6
VSeedRandom[42]
p4883
sg8
(lp4884
(dp4885
g11
(lp4886
sg13
Nsg15
L1L
sass(g1693
g4734
g4880
L1L
tp4887
(dp4888
g6
VRandomSample[{a, b, c}]
p4889
sg8
(lp4890
(dp4891
g11
(lp4892
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p4893
sg15
L2L
sass(g1693
g4734
g4880
L2L
tp4894
(dp4895
g6
VSeedRandom[42]
p4896
sg8
(lp4897
(dp4898
g11
(lp4899
sg13
Nsg15
L3L
sass(g1693
g4734
g4880
L3L
tp4900
(dp4901
g6
VRandomSample[{a, b, c, d, e, f, g, h}, 7]
p4902
sg8
(lp4903
(dp4904
g11
(lp4905
sg13
V\u005cleft\u005c{b,f,a,h,c,e,d\u005cright\u005c}
p4906
sg15
L4L
sass(g1693
g4734
g4880
L4L
tp4907
(dp4908
g6
VSeedRandom[42]
p4909
sg8
(lp4910
(dp4911
g11
(lp4912
sg13
Nsg15
L5L
sass(g1693
g4734
g4880
L5L
tp4913
(dp4914
g6
VRandomSample[{"a", {1, 2}, x, {}}, 3]
p4915
sg8
(lp4916
(dp4917
g11
(lp4918
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{\u005cright\u005c},\u005ctext{a}\u005cright\u005c}
p4919
sg15
L6L
sass(g1693
g4734
g4880
L6L
tp4920
(dp4921
g6
VSeedRandom[42]
p4922
sg8
(lp4923
(dp4924
g11
(lp4925
sg13
Nsg15
L7L
sass(g1693
g4734
g4880
L7L
tp4926
(dp4927
g6
VRandomSample[Range[100], {2, 3}]
p4928
sg8
(lp4929
(dp4930
g11
(lp4931
sg13
V\u005cleft\u005c{\u005cleft\u005c{84,54,71\u005cright\u005c},\u005cleft\u005c{46,45,40\u005cright\u005c}\u005cright\u005c}
p4932
sg15
L8L
sass(g1693
g4734
g4880
L8L
tp4933
(dp4934
g6
VSeedRandom[42]
p4935
sg8
(lp4936
(dp4937
g11
(lp4938
sg13
Nsg15
L9L
sass(g1693
g4734
g4880
L9L
tp4939
(dp4940
g6
VRandomSample[Range[100] -> Range[100], 5]
p4941
sg8
(lp4942
(dp4943
g11
(lp4944
sg13
V\u005cleft\u005c{62,98,86,78,40\u005cright\u005c}
p4945
sg15
L10L
sass(g1693
g4734
V$RandomState
p4946
L0L
tp4947
(dp4948
g6
VMod[$RandomState, 10^100]
p4949
sg8
(lp4950
(dp4951
g11
(lp4952
sg13
V9051835796471849001661208618662374065714146061051684216078515899255168599331666073611903365905715246
p4953
sg15
L1L
sass(g1693
g4734
g4946
L1L
tp4954
(dp4955
g6
VIntegerLength[$RandomState]
p4956
sg8
(lp4957
(dp4958
g11
(lp4959
sg13
V6466
p4960
sg15
L2L
sass(g1693
g4734
g4946
L2L
tp4961
(dp4962
g6
V$RandomState = 42
p4963
sg8
(lp4964
(dp4965
g11
(lp4966
(dp4967
g149
I01
sg150
V$RandomState
p4968
sg152
Vrndst
p4969
sg154
V$RandomState::rndst
p4970
sg156
VIt is not possible to change the random state.
p4971
sasg13
V42
p4972
sg15
L3L
sass(g1693
g4734
g4946
L3L
tp4973
(dp4974
g6
V$RandomState = $RandomState;
p4975
sg8
(lp4976
(dp4977
g11
(lp4978
(dp4979
g149
I01
sg150
V$RandomState
p4980
sg152
g4969
sg154
V$RandomState::rndst
p4981
sg156
g4971
sasg13
Nsg15
L4L
sass(g1693
g4734
VSeedRandom
p4982
L0L
tp4983
(dp4984
g6
VSeedRandom[42]
p4985
sg8
(lp4986
(dp4987
g11
(lp4988
sg13
Nsg15
L1L
sass(g1693
g4734
g4982
L1L
tp4989
(dp4990
g6
VRandomInteger[100]
p4991
sg8
(lp4992
(dp4993
g11
(lp4994
sg13
V51
p4995
sg15
L2L
sass(g1693
g4734
g4982
L2L
tp4996
(dp4997
g6
VRandomInteger[100]
p4998
sg8
(lp4999
(dp5000
g11
(lp5001
sg13
V92
p5002
sg15
L3L
sass(g1693
g4734
g4982
L3L
tp5003
(dp5004
g6
VSeedRandom[42]
p5005
sg8
(lp5006
(dp5007
g11
(lp5008
sg13
Nsg15
L4L
sass(g1693
g4734
g4982
L4L
tp5009
(dp5010
g6
VRandomInteger[100]
p5011
sg8
(lp5012
(dp5013
g11
(lp5014
sg13
V51
p5015
sg15
L5L
sass(g1693
g4734
g4982
L5L
tp5016
(dp5017
g6
VRandomInteger[100]
p5018
sg8
(lp5019
(dp5020
g11
(lp5021
sg13
V92
p5022
sg15
L6L
sass(g1693
g4734
g4982
L6L
tp5023
(dp5024
g6
VSeedRandom["Mathics"]
p5025
sg8
(lp5026
(dp5027
g11
(lp5028
sg13
Nsg15
L7L
sass(g1693
g4734
g4982
L7L
tp5029
(dp5030
g6
VRandomInteger[100]
p5031
sg8
(lp5032
(dp5033
g11
(lp5034
sg13
V27
p5035
sg15
L8L
sass(g1693
g4734
g4982
L8L
tp5036
(dp5037
g6
VSeedRandom[]
p5038
sg8
(lp5039
(dp5040
g11
(lp5041
sg13
Nsg15
L9L
sass(g1693
g4734
g4982
L9L
tp5042
(dp5043
g6
VRandomInteger[100]
p5044
sg8
(lp5045
(dp5046
g11
(lp5047
sg13
V51
p5048
sg15
L10L
sass(g1693
VCombinatorial Functions
p5049
VBinomial
p5050
L0L
tp5051
(dp5052
g6
VBinomial[5, 3]
p5053
sg8
(lp5054
(dp5055
g11
(lp5056
sg13
V10
p5057
sg15
L1L
sass(g1693
g5049
g5050
L1L
tp5058
(dp5059
g6
VBinomial[10.5,3.2]
p5060
sg8
(lp5061
(dp5062
g11
(lp5063
sg13
V165.286
p5064
sg15
L2L
sass(g1693
g5049
g5050
L2L
tp5065
(dp5066
g6
VBinomial[10, -2]
p5067
sg8
(lp5068
(dp5069
g11
(lp5070
sg13
V0
p5071
sg15
L3L
sass(g1693
g5049
g5050
L3L
tp5072
(dp5073
g6
VBinomial[-10.5, -3.5]
p5074
sg8
(lp5075
(dp5076
g11
(lp5077
sg13
V0.
p5078
sg15
L4L
sass(g1693
g5049
VDiceDissimilarity
p5079
L0L
tp5080
(dp5081
g6
VDiceDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5082
sg8
(lp5083
(dp5084
g11
(lp5085
sg13
V\u005cfrac{1}{2}
p5086
sg15
L1L
sass(g1693
g5049
VFibonacci
p5087
L0L
tp5088
(dp5089
g6
VFibonacci[0]
p5090
sg8
(lp5091
(dp5092
g11
(lp5093
sg13
V0
p5094
sg15
L1L
sass(g1693
g5049
g5087
L1L
tp5095
(dp5096
g6
VFibonacci[1]
p5097
sg8
(lp5098
(dp5099
g11
(lp5100
sg13
V1
p5101
sg15
L2L
sass(g1693
g5049
g5087
L2L
tp5102
(dp5103
g6
VFibonacci[10]
p5104
sg8
(lp5105
(dp5106
g11
(lp5107
sg13
V55
p5108
sg15
L3L
sass(g1693
g5049
g5087
L3L
tp5109
(dp5110
g6
VFibonacci[200]
p5111
sg8
(lp5112
(dp5113
g11
(lp5114
sg13
V280571172992510140037611932413038677189525
p5115
sg15
L4L
sass(g1693
g5049
VJaccardDissimilarity
p5116
L0L
tp5117
(dp5118
g6
VJaccardDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5119
sg8
(lp5120
(dp5121
g11
(lp5122
sg13
V\u005cfrac{2}{3}
p5123
sg15
L1L
sass(g1693
g5049
VMatchingDissimilarity
p5124
L0L
tp5125
(dp5126
g6
VMatchingDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5127
sg8
(lp5128
(dp5129
g11
(lp5130
sg13
V\u005cfrac{4}{7}
p5131
sg15
L1L
sass(g1693
g5049
VMultinomial
p5132
L0L
tp5133
(dp5134
g6
VMultinomial[2, 3, 4, 5]
p5135
sg8
(lp5136
(dp5137
g11
(lp5138
sg13
V2522520
p5139
sg15
L1L
sass(g1693
g5049
g5132
L1L
tp5140
(dp5141
g6
VMultinomial[]
p5142
sg8
(lp5143
(dp5144
g11
(lp5145
sg13
V1
p5146
sg15
L2L
sass(g1693
g5049
g5132
L2L
tp5147
(dp5148
g6
VMultinomial[a, b, c]
p5149
sg8
(lp5150
(dp5151
g11
(lp5152
sg13
V\u005ctext{Binomial}\u005cleft[a,a\u005cright] \u005ctext{Binomial}\u005cleft[a+b,b\u005cright] \u005ctext{Binomial}\u005cleft[a+b+c,c\u005cright]
p5153
sg15
L3L
sass(g1693
g5049
g5132
L3L
tp5154
(dp5155
g6
VMultinomial[2, 3]
p5156
sg8
(lp5157
(dp5158
g11
(lp5159
sg13
V10
p5160
sg15
L4L
sass(g1693
g5049
VRogersTanimotoDissimilarity
p5161
L0L
tp5162
(dp5163
g6
VRogersTanimotoDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5164
sg8
(lp5165
(dp5166
g11
(lp5167
sg13
V\u005cfrac{8}{11}
p5168
sg15
L1L
sass(g1693
g5049
VRussellRaoDissimilarity
p5169
L0L
tp5170
(dp5171
g6
VRussellRaoDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5172
sg8
(lp5173
(dp5174
g11
(lp5175
sg13
V\u005cfrac{5}{7}
p5176
sg15
L1L
sass(g1693
g5049
VSokalSneathDissimilarity
p5177
L0L
tp5178
(dp5179
g6
VSokalSneathDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5180
sg8
(lp5181
(dp5182
g11
(lp5183
sg13
V\u005cfrac{4}{5}
p5184
sg15
L1L
sass(g1693
g5049
VStirlingS1
p5185
L0L
tp5186
(dp5187
g6
VStirlingS1[50, 1]
p5188
sg8
(lp5189
(dp5190
g11
(lp5191
sg13
V-608281864034267560872252163321295376887552831379210240000000000
p5192
sg15
L1L
sass(g1693
g5049
VStirlingS2
p5193
L0L
tp5194
(dp5195
g6
VTable[StirlingS2[10, m], {m, 10}]
p5196
sg8
(lp5197
(dp5198
g11
(lp5199
sg13
V\u005cleft\u005c{1,511,9330,34105,42525,22827,5880,750,45,1\u005cright\u005c}
p5200
sg15
L1L
sass(g1693
g5049
VSubsets
p5201
L0L
tp5202
(dp5203
g6
VSubsets[{a, b, c}]
p5204
sg8
(lp5205
(dp5206
g11
(lp5207
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}
p5208
sg15
L1L
sass(g1693
g5049
g5201
L1L
tp5209
(dp5210
g6
VSubsets[{a, b, c, d}, 2]
p5211
sg8
(lp5212
(dp5213
g11
(lp5214
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}
p5215
sg15
L2L
sass(g1693
g5049
g5201
L2L
tp5216
(dp5217
g6
VSubsets[{a, b, c, d}, {2}]
p5218
sg8
(lp5219
(dp5220
g11
(lp5221
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}
p5222
sg15
L3L
sass(g1693
g5049
g5201
L3L
tp5223
(dp5224
g6
VSubsets[{a, b, c, d, e}, {3}, 5]
p5225
sg8
(lp5226
(dp5227
g11
(lp5228
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}
p5229
sg15
L4L
sass(g1693
g5049
g5201
L4L
tp5230
(dp5231
g6
VSubsets[{a, b, c, d, e}, {0, 5, 2}]
p5232
sg8
(lp5233
(dp5234
g11
(lp5235
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}
p5236
sg15
L5L
sass(g1693
g5049
g5201
L5L
tp5237
(dp5238
g6
VSubsets[Range[5], All, {25}]
p5239
sg8
(lp5240
(dp5241
g11
(lp5242
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,4,5\u005cright\u005c}\u005cright\u005c}
p5243
sg15
L6L
sass(g1693
g5049
g5201
L6L
tp5244
(dp5245
g6
VSubsets[{a, b, c, d}, All, {15, 1, -2}]
p5246
sg8
(lp5247
(dp5248
g11
(lp5249
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}
p5250
sg15
L7L
sass(g1693
g5049
VYuleDissimilarity
p5251
L0L
tp5252
(dp5253
g6
VYuleDissimilarity[{1, 0, 1, 1, 0, 1, 1}, {0, 1, 1, 0, 0, 0, 1}]
p5254
sg8
(lp5255
(dp5256
g11
(lp5257
sg13
V\u005cfrac{6}{5}
p5258
sg15
L1L
sass(g1693
VGlobal System Information
p5259
V$ByteOrdering
p5260
L0L
tp5261
(dp5262
g6
V$ByteOrdering
p5263
sg8
(lp5264
(dp5265
g11
(lp5266
sg13
V-1
p5267
sg15
L1L
sass(g1693
g5259
V$CommandLine
p5268
L0L
tp5269
(dp5270
g6
V$CommandLine
p5271
sg8
(lp5272
(dp5273
g11
(lp5274
sg13
V\u005cleft\u005c{\u005ctext{mathics/test.py},\u005ctext{-ot},\u005ctext{-k}\u005cright\u005c}
p5275
sg15
L1L
sass(g1693
g5259
VEnvironment
p5276
L0L
tp5277
(dp5278
g6
VEnvironment["HOME"]
p5279
sg8
(lp5280
(dp5281
g11
(lp5282
sg13
V\u005ctext{/home/rocky}
p5283
sg15
L1L
sass(g1693
g5259
VGetEnvironment
p5284
L0L
tp5285
(dp5286
g6
VGetEnvironment["HOME"]
p5287
sg8
(lp5288
(dp5289
g11
(lp5290
sg13
V\u005ctext{HOME}->\u005ctext{/home/rocky}
p5291
sg15
L1L
sass(g1693
g5259
V$Machine
p5292
L0L
tp5293
(dp5294
g6
V$Machine
p5295
sg8
(lp5296
(dp5297
g11
(lp5298
sg13
V\u005ctext{linux}
p5299
sg15
L1L
sass(g1693
g5259
V$MachineName
p5300
L0L
tp5301
(dp5302
g6
V$MachineName
p5303
sg8
(lp5304
(dp5305
g11
(lp5306
sg13
V\u005ctext{muffin}
p5307
sg15
L1L
sass(g1693
g5259
VMathicsVersion
p5308
L0L
tp5309
(dp5310
g6
VMathicsVersion
p5311
sg8
(lp5312
(dp5313
g11
(lp5314
sg13
V\u005ctext{2.1.0.rc1}
p5315
sg15
L1L
sass(g1693
g5259
VNames
p5316
L0L
tp5317
(dp5318
g6
VNames["List"]
p5319
sg8
(lp5320
(dp5321
g11
(lp5322
sg13
V\u005cleft\u005c{\u005ctext{List}\u005cright\u005c}
p5323
sg15
L1L
sass(g1693
g5259
g5316
L1L
tp5324
(dp5325
g6
VNames["List*"]
p5326
sg8
(lp5327
(dp5328
g11
(lp5329
sg13
V\u005cleft\u005c{\u005ctext{List},\u005ctext{ListLinePlot},\u005ctext{ListPlot},\u005ctext{ListQ},\u005ctext{Listable}\u005cright\u005c}
p5330
sg15
L2L
sass(g1693
g5259
g5316
L2L
tp5331
(dp5332
g6
VNames["List@"]
p5333
sg8
(lp5334
(dp5335
g11
(lp5336
sg13
V\u005cleft\u005c{\u005ctext{Listable}\u005cright\u005c}
p5337
sg15
L3L
sass(g1693
g5259
g5316
L3L
tp5338
(dp5339
g6
Vx = 5;
p5340
sg8
(lp5341
(dp5342
g11
(lp5343
sg13
Nsg15
L4L
sass(g1693
g5259
g5316
L4L
tp5344
(dp5345
g6
VNames["Global`*"]
p5346
sg8
(lp5347
(dp5348
g11
(lp5349
sg13
V\u005cleft\u005c{\u005ctext{x}\u005cright\u005c}
p5350
sg15
L5L
sass(g1693
g5259
g5316
L5L
tp5351
(dp5352
g6
VLength[Names["System`*"]]
p5353
sg8
(lp5354
(dp5355
g11
(lp5356
sg13
V1088
p5357
sg15
L6L
sass(g1693
g5259
V$Packages
p5358
L0L
tp5359
(dp5360
g6
V$Packages
p5361
sg8
(lp5362
(dp5363
g11
(lp5364
sg13
V\u005cleft\u005c{\u005ctext{ImportExport`},\u005ctext{XML`},\u005ctext{Internal`},\u005ctext{System`},\u005ctext{Global`}\u005cright\u005c}
p5365
sg15
L1L
sass(g1693
g5259
V$ParentProcessID
p5366
L0L
tp5367
(dp5368
g6
V$ParentProcessID
p5369
sg8
(lp5370
(dp5371
g11
(lp5372
sg13
V3743390
p5373
sg15
L1L
sass(g1693
g5259
V$ProcessID
p5374
L0L
tp5375
(dp5376
g6
V$ProcessID
p5377
sg8
(lp5378
(dp5379
g11
(lp5380
sg13
V3743392
p5381
sg15
L1L
sass(g1693
g5259
V$ProcessorType
p5382
L0L
tp5383
(dp5384
g6
V$ProcessorType
p5385
sg8
(lp5386
(dp5387
g11
(lp5388
sg13
V\u005ctext{x86\u005c_64}
p5389
sg15
L1L
sass(g1693
g5259
VRun
p5390
L0L
tp5391
(dp5392
g6
VRun["date"]
p5393
sg8
(lp5394
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g11
(lp5396
sg13
V0
p5397
sg15
L1L
sass(g1693
g5259
V$ScriptCommandLine
p5398
L0L
tp5399
(dp5400
g6
V$ScriptCommandLine
p5401
sg8
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g11
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sg13
V\u005cleft\u005c{\u005cright\u005c}
p5405
sg15
L1L
sass(g1693
g5259
V$SystemID
p5406
L0L
tp5407
(dp5408
g6
V$SystemID
p5409
sg8
(lp5410
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g11
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sg13
V\u005ctext{linux}
p5413
sg15
L1L
sass(g1693
g5259
V$SystemWordLength
p5414
L0L
tp5415
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g6
V$SystemWordLength
p5417
sg8
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g11
(lp5420
sg13
V64
p5421
sg15
L1L
sass(g1693
g5259
V$UserName
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L0L
tp5423
(dp5424
g6
V$UserName
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sg8
(lp5426
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g11
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sg13
V\u005ctext{rocky}
p5429
sg15
L1L
sass(g1693
g5259
V$Version
p5430
L0L
tp5431
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g6
V$Version
p5433
sg8
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g11
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sg13
V\u005ctext{Mathics 2.1.0.rc1 on CPython 3.6.13 (default, Feb 23 2021, 10:08:17)  using SymPy 1.7.1, mpmath 1.2.1, numpy 1.19.5}
p5437
sg15
L1L
sass(g1693
g5259
V$VersionNumber
p5438
L0L
tp5439
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g6
V$VersionNumber
p5441
sg8
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g11
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sg13
V6.
p5445
sg15
L1L
sass(g1693
VThe Main Loop
p5446
V$Pre
p5447
L0L
tp5448
(dp5449
g6
V$Pre := (Print["[Processing input...]"];#1)&
p5450
sg8
(lp5451
(dp5452
g11
(lp5453
sg13
Nsg15
L1L
sass(g1693
g5446
g5447
L1L
tp5454
(dp5455
g6
V$Post := (Print["[Storing result...]"]; #1)&
p5456
sg8
(lp5457
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g11
(lp5459
(dp5460
g149
I00
sg156
V[Processing input...]
p5461
sa(dp5462
g149
I00
sg156
V[Storing result...]
p5463
sasg13
Nsg15
L2L
sass(g1693
g5446
g5447
L2L
tp5464
(dp5465
g6
V$PrePrint := (Print["The result is:"]; {TimeUsed[], #1})&
p5466
sg8
(lp5467
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g11
(lp5469
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g149
I00
sg156
V[Processing input...]
p5471
sa(dp5472
g149
I00
sg156
V[Storing result...]
p5473
sasg13
Nsg15
L3L
sass(g1693
g5446
g5447
L3L
tp5474
(dp5475
g6
V2 + 2
p5476
sg8
(lp5477
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g11
(lp5479
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g149
I00
sg156
V[Processing input...]
p5481
sa(dp5482
g149
I00
sg156
V[Storing result...]
p5483
sa(dp5484
g149
I00
sg156
VThe result is:
p5485
sasg13
V\u005cleft\u005c{406.13,4\u005cright\u005c}
p5486
sg15
L4L
sass(g1693
g5446
g5447
L4L
tp5487
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g6
V$Pre = .; $Post = .;  $PrePrint = .;  $EnlapsedTime = .;
p5489
sg8
(lp5490
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g11
(lp5492
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g149
I00
sg156
V[Processing input...]
p5494
sasg13
Nsg15
L5L
sass(g1693
g5446
g5447
L5L
tp5495
(dp5496
g6
V2 + 2
p5497
sg8
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g11
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sg13
V4
p5501
sg15
L6L
sass(g1693
VQuantities
p5502
VKnownUnitQ
p5503
L0L
tp5504
(dp5505
g6
VKnownUnitQ["Feet"]
p5506
sg8
(lp5507
(dp5508
g11
(lp5509
sg13
V\u005ctext{True}
p5510
sg15
L1L
sass(g1693
g5502
g5503
L1L
tp5511
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g6
VKnownUnitQ["Foo"]
p5513
sg8
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g11
(lp5516
sg13
V\u005ctext{False}
p5517
sg15
L2L
sass(g1693
g5502
VQuantity
p5518
L0L
tp5519
(dp5520
g6
VQuantity["Kilogram"]
p5521
sg8
(lp5522
(dp5523
g11
(lp5524
sg13
V1 \u005ctext{kilogram}
p5525
sg15
L1L
sass(g1693
g5502
g5518
L1L
tp5526
(dp5527
g6
VQuantity[10, "Meters"]
p5528
sg8
(lp5529
(dp5530
g11
(lp5531
sg13
V10 \u005ctext{meter}
p5532
sg15
L2L
sass(g1693
g5502
g5518
L2L
tp5533
(dp5534
g6
VQuantity[{10,20}, "Meters"]
p5535
sg8
(lp5536
(dp5537
g11
(lp5538
sg13
V\u005cleft\u005c{10 \u005ctext{meter},20 \u005ctext{meter}\u005cright\u005c}
p5539
sg15
L3L
sass(g1693
g5502
VQuantityMagnitude
p5540
L0L
tp5541
(dp5542
g6
VQuantityMagnitude[Quantity["Kilogram"]]
p5543
sg8
(lp5544
(dp5545
g11
(lp5546
sg13
V1
p5547
sg15
L1L
sass(g1693
g5502
g5540
L1L
tp5548
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g6
VQuantityMagnitude[Quantity[10, "Meters"]]
p5550
sg8
(lp5551
(dp5552
g11
(lp5553
sg13
V10
p5554
sg15
L2L
sass(g1693
g5502
g5540
L2L
tp5555
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g6
VQuantityMagnitude[Quantity[{10,20}, "Meters"]]
p5557
sg8
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g11
(lp5560
sg13
V\u005cleft\u005c{10,20\u005cright\u005c}
p5561
sg15
L3L
sass(g1693
g5502
VQuantityQ
p5562
L0L
tp5563
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g6
VQuantityQ[Quantity[3, "Meters"]]
p5565
sg8
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g11
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sg13
V\u005ctext{True}
p5569
sg15
L1L
sass(g1693
g5502
g5562
L1L
tp5570
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g6
VQuantityQ[Quantity[3, "Maters"]]
p5572
sg8
(lp5573
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g11
(lp5575
(dp5576
g149
I01
sg150
VQuantity
p5577
sg152
Vunkunit
p5578
sg154
VQuantity::unkunit
p5579
sg156
VUnable to interpret unit specification Maters.
p5580
sasg13
V\u005ctext{False}
p5581
sg15
L2L
sass(g1693
g5502
VQuantityUnit
p5582
L0L
tp5583
(dp5584
g6
VQuantityUnit[Quantity["Kilogram"]]
p5585
sg8
(lp5586
(dp5587
g11
(lp5588
sg13
V\u005ctext{kilogram}
p5589
sg15
L1L
sass(g1693
g5502
g5582
L1L
tp5590
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g6
VQuantityUnit[Quantity[10, "Meters"]]
p5592
sg8
(lp5593
(dp5594
g11
(lp5595
sg13
V\u005ctext{meter}
p5596
sg15
L2L
sass(g1693
g5502
g5582
L2L
tp5597
(dp5598
g6
VQuantityUnit[Quantity[{10,20}, "Meters"]]
p5599
sg8
(lp5600
(dp5601
g11
(lp5602
sg13
V\u005cleft\u005c{\u005ctext{meter},\u005ctext{meter}\u005cright\u005c}
p5603
sg15
L3L
sass(g1693
g5502
VUnitConvert
p5604
L0L
tp5605
(dp5606
g6
VUnitConvert[Quantity[5.2, "miles"], "kilometers"]
p5607
sg8
(lp5608
(dp5609
g11
(lp5610
sg13
V8.36859 \u005ctext{kilometer}
p5611
sg15
L1L
sass(g1693
g5502
g5604
L1L
tp5612
(dp5613
g6
VUnitConvert[Quantity[3.8, "Pounds"]]
p5614
sg8
(lp5615
(dp5616
g11
(lp5617
sg13
V1.72365 \u005ctext{kilogram}
p5618
sg15
L2L
sass(g1693
VSolving Recurrence Equations
p5619
VRSolve
p5620
L0L
tp5621
(dp5622
g6
VRSolve[a[n] == a[n+1], a[n], n]
p5623
sg8
(lp5624
(dp5625
g11
(lp5626
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cleft[n\u005cright]->C\u005cleft[0\u005cright]\u005cright\u005c}\u005cright\u005c}
p5627
sg15
L1L
sass(g1693
g5619
g5620
L1L
tp5628
(dp5629
g6
VRSolve[{a[n + 2] == a[n]}, a, n]
p5630
sg8
(lp5631
(dp5632
g11
(lp5633
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{}^{\u005cwedge}n\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p5634
sg15
L2L
sass(g1693
g5619
g5620
L2L
tp5635
(dp5636
g6
VRSolve[{a[n + 2] == a[n], a[0] == 1}, a, n]
p5637
sg8
(lp5638
(dp5639
g11
(lp5640
sg13
V\u005cleft\u005c{\u005cleft\u005c{a->\u005cleft(\u005ctext{Function}\u005cleft[\u005cleft\u005c{n\u005cright\u005c},C\u005cleft[0\u005cright]+\u005cleft(1-C\u005cleft[0\u005cright]\u005cright) -1{}^{\u005cwedge}n\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p5641
sg15
L3L
sass(g1693
g5619
g5620
L3L
tp5642
(dp5643
g6
VRSolve[{a[n + 2] == a[n], a[0] == 1, a[1] == 4}, a, n]
p5644
sg8
(lp5645
(dp5646
g11
(lp5647
sg13
V\u005cleft\u005c{\u005cleft\u005c{a->\u005cleft(\u005ctext{Function}\u005cleft[\u005cleft\u005c{n\u005cright\u005c},\u005cfrac{5}{2}-\u005cfrac{3 -1{}^{\u005cwedge}n}{2}\u005cright]\u005cright)\u005cright\u005c}\u005cright\u005c}
p5648
sg15
L4L
sass(g1693
VPatterns and Rules
p5649
g1267
L0L
tp5650
(dp5651
g6
Va + b + c /. a + b -> t
p5652
sg8
(lp5653
(dp5654
g11
(lp5655
sg13
Vc+t
p5656
sg15
L1L
sass(g1693
g5649
g1267
L1L
tp5657
(dp5658
g6
Va + 2 + b + c + x * y /. n_Integer + s__Symbol + rest_ -> {n, s, rest}
p5659
sg8
(lp5660
(dp5661
g11
(lp5662
sg13
V\u005cleft\u005c{2,a,b+c+x y\u005cright\u005c}
p5663
sg15
L2L
sass(g1693
g5649
g1267
L2L
tp5664
(dp5665
g6
Vf[a, b, c, d] /. f[first_, rest___] -> {first, {rest}}
p5666
sg8
(lp5667
(dp5668
g11
(lp5669
sg13
V\u005cleft\u005c{a,\u005cleft\u005c{b,c,d\u005cright\u005c}\u005cright\u005c}
p5670
sg15
L3L
sass(g1693
g5649
g1267
L3L
tp5671
(dp5672
g6
Vf[4] /. f[x_?(# > 0&)] -> x ^ 2
p5673
sg8
(lp5674
(dp5675
g11
(lp5676
sg13
V16
p5677
sg15
L4L
sass(g1693
g5649
g1267
L4L
tp5678
(dp5679
g6
Vf[4] /. f[x_] /; x > 0 -> x ^ 2
p5680
sg8
(lp5681
(dp5682
g11
(lp5683
sg13
V16
p5684
sg15
L5L
sass(g1693
g5649
g1267
L5L
tp5685
(dp5686
g6
Vf[a, b, c, d] /. f[start__, end__] -> {{start}, {end}}
p5687
sg8
(lp5688
(dp5689
g11
(lp5690
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{b,c,d\u005cright\u005c}\u005cright\u005c}
p5691
sg15
L6L
sass(g1693
g5649
g1267
L6L
tp5692
(dp5693
g6
Vf[a] /. f[x_, y_:3] -> {x, y}
p5694
sg8
(lp5695
(dp5696
g11
(lp5697
sg13
V\u005cleft\u005c{a,3\u005cright\u005c}
p5698
sg15
L7L
sass(g1693
g5649
g1267
L7L
tp5699
(dp5700
g6
Vf[y, a->3] /. f[x_, OptionsPattern[{a->2, b->5}]] -> {x, OptionValue[a], OptionValue[b]}
p5701
sg8
(lp5702
(dp5703
g11
(lp5704
sg13
V\u005cleft\u005c{y,3,5\u005cright\u005c}
p5705
sg15
L8L
sass(g1693
g5649
VAlternatives
p5706
L0L
tp5707
(dp5708
g6
Va+b+c+d/.(a|b)->t
p5709
sg8
(lp5710
(dp5711
g11
(lp5712
sg13
Vc+d+2 t
p5713
sg15
L1L
sass(g1693
g5649
g5706
L1L
tp5714
(dp5715
g6
VStringReplace["0123 3210", "1" | "2" -> "X"]
p5716
sg8
(lp5717
(dp5718
g11
(lp5719
sg13
V\u005ctext{0XX3 3XX0}
p5720
sg15
L2L
sass(g1693
g5649
VBlank
p5721
L0L
tp5722
(dp5723
g6
VMatchQ[a + b, _]
p5724
sg8
(lp5725
(dp5726
g11
(lp5727
sg13
V\u005ctext{True}
p5728
sg15
L1L
sass(g1693
g5649
g5721
L1L
tp5729
(dp5730
g6
VMatchQ[42, _Integer]
p5731
sg8
(lp5732
(dp5733
g11
(lp5734
sg13
V\u005ctext{True}
p5735
sg15
L2L
sass(g1693
g5649
g5721
L2L
tp5736
(dp5737
g6
VMatchQ[1.0, _Integer]
p5738
sg8
(lp5739
(dp5740
g11
(lp5741
sg13
V\u005ctext{False}
p5742
sg15
L3L
sass(g1693
g5649
g5721
L3L
tp5743
(dp5744
g6
V{42, 1.0, x} /. {_Integer -> "integer", _Real -> "real"} // InputForm
p5745
sg8
(lp5746
(dp5747
g11
(lp5748
sg13
V\u005cleft\u005c{\u005ctext{"integer"}, \u005ctext{"real"}, x\u005cright\u005c}
p5749
sg15
L4L
sass(g1693
g5649
g5721
L4L
tp5750
(dp5751
g6
VMatchQ[f[1, 2], f[_]]
p5752
sg8
(lp5753
(dp5754
g11
(lp5755
sg13
V\u005ctext{False}
p5756
sg15
L5L
sass(g1693
g5649
VBlankNullSequence
p5757
L0L
tp5758
(dp5759
g6
VMatchQ[f[], f[___]]
p5760
sg8
(lp5761
(dp5762
g11
(lp5763
sg13
V\u005ctext{True}
p5764
sg15
L1L
sass(g1693
g5649
VBlankSequence
p5765
L0L
tp5766
(dp5767
g6
VMatchQ[f[1, 2, 3], f[__]]
p5768
sg8
(lp5769
(dp5770
g11
(lp5771
sg13
V\u005ctext{True}
p5772
sg15
L1L
sass(g1693
g5649
g5765
L1L
tp5773
(dp5774
g6
VMatchQ[f[], f[__]]
p5775
sg8
(lp5776
(dp5777
g11
(lp5778
sg13
V\u005ctext{False}
p5779
sg15
L2L
sass(g1693
g5649
g5765
L2L
tp5780
(dp5781
g6
VMatchQ[f[1, 2, 3], f[__Integer]]
p5782
sg8
(lp5783
(dp5784
g11
(lp5785
sg13
V\u005ctext{True}
p5786
sg15
L3L
sass(g1693
g5649
g5765
L3L
tp5787
(dp5788
g6
VMatchQ[f[1, 2.0, 3], f[__Integer]]
p5789
sg8
(lp5790
(dp5791
g11
(lp5792
sg13
V\u005ctext{False}
p5793
sg15
L4L
sass(g1693
g5649
g5765
L4L
tp5794
(dp5795
g6
Vf[1, 2, 3] /. f[x__] -> x
p5796
sg8
(lp5797
(dp5798
g11
(lp5799
sg13
V\u005ctext{Sequence}\u005cleft[1,2,3\u005cright]
p5800
sg15
L5L
sass(g1693
g5649
VCondition
p5801
L0L
tp5802
(dp5803
g6
Vf[3] /. f[x_] /; x>0 -> t
p5804
sg8
(lp5805
(dp5806
g11
(lp5807
sg13
g979
sg15
L1L
sass(g1693
g5649
g5801
L1L
tp5808
(dp5809
g6
Vf[-3] /. f[x_] /; x>0 -> t
p5810
sg8
(lp5811
(dp5812
g11
(lp5813
sg13
Vf\u005cleft[-3\u005cright]
p5814
sg15
L2L
sass(g1693
g5649
g5801
L2L
tp5815
(dp5816
g6
Vf[x_] := p[x] /; x>0
p5817
sg8
(lp5818
(dp5819
g11
(lp5820
sg13
Nsg15
L3L
sass(g1693
g5649
g5801
L3L
tp5821
(dp5822
g6
Vf[3]
p5823
sg8
(lp5824
(dp5825
g11
(lp5826
sg13
Vp\u005cleft[3\u005cright]
p5827
sg15
L4L
sass(g1693
g5649
g5801
L4L
tp5828
(dp5829
g6
Vf[-3]
p5830
sg8
(lp5831
(dp5832
g11
(lp5833
sg13
Vf\u005cleft[-3\u005cright]
p5834
sg15
L5L
sass(g1693
g5649
VExcept
p5835
L0L
tp5836
(dp5837
g6
VCases[{x, a, b, x, c}, Except[x]]
p5838
sg8
(lp5839
(dp5840
g11
(lp5841
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p5842
sg15
L1L
sass(g1693
g5649
g5835
L1L
tp5843
(dp5844
g6
VCases[{a, 0, b, 1, c, 2, 3}, Except[1, _Integer]]
p5845
sg8
(lp5846
(dp5847
g11
(lp5848
sg13
V\u005cleft\u005c{0,2,3\u005cright\u005c}
p5849
sg15
L2L
sass(g1693
g5649
g5835
L2L
tp5850
(dp5851
g6
VStringReplace["Hello world!", Except[LetterCharacter] -> ""]
p5852
sg8
(lp5853
(dp5854
g11
(lp5855
sg13
V\u005ctext{Helloworld}
p5856
sg15
L3L
sass(g1693
g5649
VHoldPattern
p5857
L0L
tp5858
(dp5859
g6
VHoldPattern[x + x]
p5860
sg8
(lp5861
(dp5862
g11
(lp5863
sg13
V\u005ctext{HoldPattern}\u005cleft[x+x\u005cright]
p5864
sg15
L1L
sass(g1693
g5649
g5857
L1L
tp5865
(dp5866
g6
Vx /. HoldPattern[x] -> t
p5867
sg8
(lp5868
(dp5869
g11
(lp5870
sg13
g979
sg15
L2L
sass(g1693
g5649
g5857
L2L
tp5871
(dp5872
g6
VAttributes[HoldPattern]
p5873
sg8
(lp5874
(dp5875
g11
(lp5876
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p5877
sg15
L3L
sass(g1693
g5649
VLongest
p5878
L0L
tp5879
(dp5880
g6
VStringCases["aabaaab", Longest["a" ~~ __ ~~ "b"]]
p5881
sg8
(lp5882
(dp5883
g11
(lp5884
sg13
V\u005cleft\u005c{\u005ctext{aabaaab}\u005cright\u005c}
p5885
sg15
L1L
sass(g1693
g5649
g5878
L1L
tp5886
(dp5887
g6
VStringCases["aabaaab", Longest[RegularExpression["a+b"]]]
p5888
sg8
(lp5889
(dp5890
g11
(lp5891
sg13
V\u005cleft\u005c{\u005ctext{aab},\u005ctext{aaab}\u005cright\u005c}
p5892
sg15
L2L
sass(g1693
g5649
VMatchQ
p5893
L0L
tp5894
(dp5895
g6
VMatchQ[123, _Integer]
p5896
sg8
(lp5897
(dp5898
g11
(lp5899
sg13
V\u005ctext{True}
p5900
sg15
L1L
sass(g1693
g5649
g5893
L1L
tp5901
(dp5902
g6
VMatchQ[123, _Real]
p5903
sg8
(lp5904
(dp5905
g11
(lp5906
sg13
V\u005ctext{False}
p5907
sg15
L2L
sass(g1693
g5649
g5893
L2L
tp5908
(dp5909
g6
VMatchQ[_Integer][123]
p5910
sg8
(lp5911
(dp5912
g11
(lp5913
sg13
V\u005ctext{True}
p5914
sg15
L3L
sass(g1693
g5649
VOptional
p5915
L0L
tp5916
(dp5917
g6
Vf[x_, y_:1] := {x, y}
p5918
sg8
(lp5919
(dp5920
g11
(lp5921
sg13
Nsg15
L1L
sass(g1693
g5649
g5915
L1L
tp5922
(dp5923
g6
Vf[1, 2]
p5924
sg8
(lp5925
(dp5926
g11
(lp5927
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p5928
sg15
L2L
sass(g1693
g5649
g5915
L2L
tp5929
(dp5930
g6
Vf[a]
p5931
sg8
(lp5932
(dp5933
g11
(lp5934
sg13
V\u005cleft\u005c{a,1\u005cright\u005c}
p5935
sg15
L3L
sass(g1693
g5649
g5915
L3L
tp5936
(dp5937
g6
Vx:_ // FullForm
p5938
sg8
(lp5939
(dp5940
g11
(lp5941
sg13
V\u005ctext{Pattern}\u005cleft[x, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright]
p5942
sg15
L4L
sass(g1693
g5649
g5915
L4L
tp5943
(dp5944
g6
V_:d // FullForm
p5945
sg8
(lp5946
(dp5947
g11
(lp5948
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Blank}\u005cleft[\u005cright], d\u005cright]
p5949
sg15
L5L
sass(g1693
g5649
g5915
L5L
tp5950
(dp5951
g6
Vx:_+y_:d // FullForm
p5952
sg8
(lp5953
(dp5954
g11
(lp5955
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]
p5956
sg15
L6L
sass(g1693
g5649
g5915
L6L
tp5957
(dp5958
g6
VFullForm[s_.]
p5959
sg8
(lp5960
(dp5961
g11
(lp5962
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[s, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright]\u005cright]
p5963
sg15
L7L
sass(g1693
g5649
g5915
L7L
tp5964
(dp5965
g6
VDefault[h, k_] := k
p5966
sg8
(lp5967
(dp5968
g11
(lp5969
sg13
Nsg15
L8L
sass(g1693
g5649
g5915
L8L
tp5970
(dp5971
g6
Vh[a] /. h[x_, y_.] -> {x, y}
p5972
sg8
(lp5973
(dp5974
g11
(lp5975
sg13
V\u005cleft\u005c{a,2\u005cright\u005c}
p5976
sg15
L9L
sass(g1693
g5649
VOptionsPattern
p5977
L0L
tp5978
(dp5979
g6
Vf[x_, OptionsPattern[{n->2}]] := x ^ OptionValue[n]
p5980
sg8
(lp5981
(dp5982
g11
(lp5983
sg13
Nsg15
L1L
sass(g1693
g5649
g5977
L1L
tp5984
(dp5985
g6
Vf[x]
p5986
sg8
(lp5987
(dp5988
g11
(lp5989
sg13
Vx^2
p5990
sg15
L2L
sass(g1693
g5649
g5977
L2L
tp5991
(dp5992
g6
Vf[x, n->3]
p5993
sg8
(lp5994
(dp5995
g11
(lp5996
sg13
Vx^3
p5997
sg15
L3L
sass(g1693
g5649
g5977
L3L
tp5998
(dp5999
g6
Ve = f[x, n:>a]
p6000
sg8
(lp6001
(dp6002
g11
(lp6003
sg13
Vx^a
p6004
sg15
L4L
sass(g1693
g5649
g5977
L4L
tp6005
(dp6006
g6
Va = 5;
p6007
sg8
(lp6008
(dp6009
g11
(lp6010
sg13
Nsg15
L5L
sass(g1693
g5649
g5977
L5L
tp6011
(dp6012
g6
Ve
p6013
sg8
(lp6014
(dp6015
g11
(lp6016
sg13
Vx^5
p6017
sg15
L6L
sass(g1693
g5649
g5977
L6L
tp6018
(dp6019
g6
Vf[x, {{{n->4}}}]
p6020
sg8
(lp6021
(dp6022
g11
(lp6023
sg13
Vx^4
p6024
sg15
L7L
sass(g1693
g5649
VPatternTest
p6025
L0L
tp6026
(dp6027
g6
VMatchQ[3, _Integer?(#>0&)]
p6028
sg8
(lp6029
(dp6030
g11
(lp6031
sg13
V\u005ctext{True}
p6032
sg15
L1L
sass(g1693
g5649
g6025
L1L
tp6033
(dp6034
g6
VMatchQ[-3, _Integer?(#>0&)]
p6035
sg8
(lp6036
(dp6037
g11
(lp6038
sg13
V\u005ctext{False}
p6039
sg15
L2L
sass(g1693
g5649
VPattern
p6040
L0L
tp6041
(dp6042
g6
VFullForm[a_b]
p6043
sg8
(lp6044
(dp6045
g11
(lp6046
sg13
V\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[b\u005cright]\u005cright]
p6047
sg15
L1L
sass(g1693
g5649
g6040
L1L
tp6048
(dp6049
g6
VFullForm[a:_:b]
p6050
sg8
(lp6051
(dp6052
g11
(lp6053
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[\u005cright]\u005cright], b\u005cright]
p6054
sg15
L2L
sass(g1693
g5649
g6040
L2L
tp6055
(dp6056
g6
Vx = 2
p6057
sg8
(lp6058
(dp6059
g11
(lp6060
sg13
V2
p6061
sg15
L3L
sass(g1693
g5649
g6040
L3L
tp6062
(dp6063
g6
Vx_
p6064
sg8
(lp6065
(dp6066
g11
(lp6067
sg13
V\u005ctext{x\u005c_}
p6068
sg15
L4L
sass(g1693
g5649
g6040
L4L
tp6069
(dp6070
g6
Vf[y] /. f[a:b,_:d] -> {a, b}
p6071
sg8
(lp6072
(dp6073
g11
(lp6074
sg13
Vf\u005cleft[y\u005cright]
p6075
sg15
L5L
sass(g1693
g5649
g6040
L5L
tp6076
(dp6077
g6
Vf[a] /. f[a:_:b] -> {a, b}
p6078
sg8
(lp6079
(dp6080
g11
(lp6081
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p6082
sg15
L6L
sass(g1693
g5649
g6040
L6L
tp6083
(dp6084
g6
VFullForm[a:b:c:d:e]
p6085
sg8
(lp6086
(dp6087
g11
(lp6088
sg13
V\u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[a, b\u005cright], \u005ctext{Optional}\u005cleft[\u005ctext{Pattern}\u005cleft[c, d\u005cright], e\u005cright]\u005cright]
p6089
sg15
L7L
sass(g1693
g5649
g6040
L7L
tp6090
(dp6091
g6
Vf[] /. f[a:_:b] -> {a, b}
p6092
sg8
(lp6093
(dp6094
g11
(lp6095
sg13
V\u005cleft\u005c{b,b\u005cright\u005c}
p6096
sg15
L8L
sass(g1693
g5649
VRepeated
p6097
L0L
tp6098
(dp6099
g6
Va_Integer.. // FullForm
p6100
sg8
(lp6101
(dp6102
g11
(lp6103
sg13
V\u005ctext{Repeated}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{Blank}\u005cleft[\u005ctext{Integer}\u005cright]\u005cright]\u005cright]
p6104
sg15
L1L
sass(g1693
g5649
g6097
L1L
tp6105
(dp6106
g6
V0..1//FullForm
p6107
sg8
(lp6108
(dp6109
g11
(lp6110
sg13
V\u005ctext{Repeated}\u005cleft[0\u005cright]
p6111
sg15
L2L
sass(g1693
g5649
g6097
L2L
tp6112
(dp6113
g6
V{{}, {a}, {a, b}, {a, a, a}, {a, a, a, a}} /. {Repeated[x : a | b, 3]} -> x
p6114
sg8
(lp6115
(dp6116
g11
(lp6117
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}
p6118
sg15
L3L
sass(g1693
g5649
g6097
L3L
tp6119
(dp6120
g6
Vf[x, 0, 0, 0] /. f[x, s:0..] -> s
p6121
sg8
(lp6122
(dp6123
g11
(lp6124
sg13
V\u005ctext{Sequence}\u005cleft[0,0,0\u005cright]
p6125
sg15
L4L
sass(g1693
g5649
VRepeatedNull
p6126
L0L
tp6127
(dp6128
g6
Va___Integer...//FullForm
p6129
sg8
(lp6130
(dp6131
g11
(lp6132
sg13
V\u005ctext{RepeatedNull}\u005cleft[\u005ctext{Pattern}\u005cleft[a, \u005ctext{BlankNullSequence}\u005cleft[\u005ctext{Integer}\u005cright]\u005cright]\u005cright]
p6133
sg15
L1L
sass(g1693
g5649
g6126
L1L
tp6134
(dp6135
g6
Vf[x] /. f[x, 0...] -> t
p6136
sg8
(lp6137
(dp6138
g11
(lp6139
sg13
g979
sg15
L2L
sass(g1693
g5649
VReplace
p6140
L0L
tp6141
(dp6142
g6
VReplace[x, {x -> 2}]
p6143
sg8
(lp6144
(dp6145
g11
(lp6146
sg13
V2
p6147
sg15
L1L
sass(g1693
g5649
g6140
L1L
tp6148
(dp6149
g6
VReplace[1 + x, {x -> 2}]
p6150
sg8
(lp6151
(dp6152
g11
(lp6153
sg13
V1+x
p6154
sg15
L2L
sass(g1693
g5649
g6140
L2L
tp6155
(dp6156
g6
VReplace[x, {{x -> 1}, {x -> 2}}]
p6157
sg8
(lp6158
(dp6159
g11
(lp6160
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p6161
sg15
L3L
sass(g1693
g5649
g6140
L3L
tp6162
(dp6163
g6
VReplace[x, {x -> {}, _List -> y}]
p6164
sg8
(lp6165
(dp6166
g11
(lp6167
sg13
V\u005cleft\u005c{\u005cright\u005c}
p6168
sg15
L4L
sass(g1693
g5649
g6140
L4L
tp6169
(dp6170
g6
VReplace[x[1], {x[1] -> y, 1 -> 2}, All]
p6171
sg8
(lp6172
(dp6173
g11
(lp6174
sg13
Vx\u005cleft[2\u005cright]
p6175
sg15
L5L
sass(g1693
g5649
g6140
L5L
tp6176
(dp6177
g6
VReplace[x[x[y]], x -> z, All]
p6178
sg8
(lp6179
(dp6180
g11
(lp6181
sg13
Vx\u005cleft[x\u005cleft[y\u005cright]\u005cright]
p6182
sg15
L6L
sass(g1693
g5649
g6140
L6L
tp6183
(dp6184
g6
VReplace[x[x[y]], x -> z, All, Heads -> True]
p6185
sg8
(lp6186
(dp6187
g11
(lp6188
sg13
Vz\u005cleft[z\u005cleft[y\u005cright]\u005cright]
p6189
sg15
L7L
sass(g1693
g5649
g6140
L7L
tp6190
(dp6191
g6
VReplace[x[x[y]], x -> z, {1}, Heads -> True]
p6192
sg8
(lp6193
(dp6194
g11
(lp6195
sg13
Vz\u005cleft[x\u005cleft[y\u005cright]\u005cright]
p6196
sg15
L8L
sass(g1693
g5649
g6140
L8L
tp6197
(dp6198
g6
VReplace[{x_ -> x + 1}][10]
p6199
sg8
(lp6200
(dp6201
g11
(lp6202
sg13
V11
p6203
sg15
L9L
sass(g1693
g5649
VReplaceAll
p6204
L0L
tp6205
(dp6206
g6
Va+b+c /. c->d
p6207
sg8
(lp6208
(dp6209
g11
(lp6210
sg13
Va+b+d
p6211
sg15
L1L
sass(g1693
g5649
g6204
L1L
tp6212
(dp6213
g6
Vg[a+b+c,a]/.g[x_+y_,x_]->{x,y}
p6214
sg8
(lp6215
(dp6216
g11
(lp6217
sg13
V\u005cleft\u005c{a,b+c\u005cright\u005c}
p6218
sg15
L2L
sass(g1693
g5649
g6204
L2L
tp6219
(dp6220
g6
V{a, b} /. {{a->x, b->y}, {a->u, b->v}}
p6221
sg8
(lp6222
(dp6223
g11
(lp6224
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c},\u005cleft\u005c{u,v\u005cright\u005c}\u005cright\u005c}
p6225
sg15
L3L
sass(g1693
g5649
g6204
L3L
tp6226
(dp6227
g6
V{a, b} /. {{{a->x, b->y}, {a->w, b->z}}, {a->u, b->v}}
p6228
sg8
(lp6229
(dp6230
g11
(lp6231
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}
p6232
sg15
L4L
sass(g1693
g5649
g6204
L4L
tp6233
(dp6234
g6
V{a, b} /. {{{a->x, b->y}, a->w, b->z}, {a->u, b->v}}
p6235
sg8
(lp6236
(dp6237
g11
(lp6238
(dp6239
g149
I01
sg150
VReplaceAll
p6240
sg152
Vrmix
p6241
sg154
VReplaceAll::rmix
p6242
sg156
VElements of {{a -> x, b -> y}, a -> w, b -> z} are a mixture of lists and nonlists.
p6243
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}
p6244
sg15
L5L
sass(g1693
g5649
g6204
L5L
tp6245
(dp6246
g6
VReplaceAll[{a -> 1}][{a, b}]
p6247
sg8
(lp6248
(dp6249
g11
(lp6250
sg13
V\u005cleft\u005c{1,b\u005cright\u005c}
p6251
sg15
L6L
sass(g1693
g5649
g6204
L7L
tp6252
(dp6253
g6
VReplaceAll[x[1], {x[1] -> y, 1 -> 2}]
p6254
sg8
(lp6255
(dp6256
g11
(lp6257
sg13
g2052
sg15
L7L
sass(g1693
g5649
VReplaceList
p6258
L0L
tp6259
(dp6260
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}]
p6261
sg8
(lp6262
(dp6263
g11
(lp6264
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}
p6265
sg15
L1L
sass(g1693
g5649
g6258
L1L
tp6266
(dp6267
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}, 3]
p6268
sg8
(lp6269
(dp6270
g11
(lp6271
sg13
V\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c},\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{a,b,c\u005cright\u005c}\u005cright\u005c}
p6272
sg15
L2L
sass(g1693
g5649
g6258
L2L
tp6273
(dp6274
g6
VReplaceList[{a, b, c}, {___, x__, ___} -> {x}, 0]
p6275
sg8
(lp6276
(dp6277
g11
(lp6278
sg13
V\u005cleft\u005c{\u005cright\u005c}
p6279
sg15
L3L
sass(g1693
g5649
g6258
L3L
tp6280
(dp6281
g6
VReplaceList[a, b->x]
p6282
sg8
(lp6283
(dp6284
g11
(lp6285
sg13
V\u005cleft\u005c{\u005cright\u005c}
p6286
sg15
L4L
sass(g1693
g5649
g6258
L4L
tp6287
(dp6288
g6
VReplaceList[{a, b, c}, {{{___, x__, ___} -> {x}}, {{a, b, c} -> t}}, 2]
p6289
sg8
(lp6290
(dp6291
g11
(lp6292
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}
p6293
sg15
L5L
sass(g1693
g5649
g6258
L5L
tp6294
(dp6295
g6
VReplaceList[expr, {}, -1]
p6296
sg8
(lp6297
(dp6298
g11
(lp6299
(dp6300
g149
I01
sg150
VReplaceList
p6301
sg152
Vinnf
p6302
sg154
VReplaceList::innf
p6303
sg156
VNon-negative integer or Infinity expected at position 3.
p6304
sasg13
V\u005ctext{ReplaceList}\u005cleft[\u005ctext{expr},\u005cleft\u005c{\u005cright\u005c},-1\u005cright]
p6305
sg15
L6L
sass(g1693
g5649
g6258
L6L
tp6306
(dp6307
g6
VReplaceList[a + b + c, x_ + y_ -> {x, y}]
p6308
sg8
(lp6309
(dp6310
g11
(lp6311
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}
p6312
sg15
L7L
sass(g1693
g5649
VReplaceRepeated
p6313
L0L
tp6314
(dp6315
g6
Va+b+c //. c->d
p6316
sg8
(lp6317
(dp6318
g11
(lp6319
sg13
Va+b+d
p6320
sg15
L1L
sass(g1693
g5649
g6313
L1L
tp6321
(dp6322
g6
Vlogrules = {Log[x_ * y_] :> Log[x] + Log[y], Log[x_ ^ y_] :> y * Log[x]};
p6323
sg8
(lp6324
(dp6325
g11
(lp6326
sg13
Nsg15
L2L
sass(g1693
g5649
g6313
L2L
tp6327
(dp6328
g6
VLog[a * (b * c) ^ d ^ e * f] //. logrules
p6329
sg8
(lp6330
(dp6331
g11
(lp6332
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
p6333
sg15
L3L
sass(g1693
g5649
g6313
L3L
tp6334
(dp6335
g6
VLog[a * (b * c) ^ d ^ e * f] /. logrules
p6336
sg8
(lp6337
(dp6338
g11
(lp6339
sg13
V\u005ctext{Log}\u005cleft[a\u005cright]+\u005ctext{Log}\u005cleft[f \u005cleft(b c\u005cright)^{d^e}\u005cright]
p6340
sg15
L4L
sass(g1693
g5649
VRuleDelayed
p6341
L0L
tp6342
(dp6343
g6
VAttributes[RuleDelayed]
p6344
sg8
(lp6345
(dp6346
g11
(lp6347
sg13
V\u005cleft\u005c{\u005ctext{HoldRest},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p6348
sg15
L1L
sass(g1693
g5649
VRule
p6349
L0L
tp6350
(dp6351
g6
Va+b+c /. c->d
p6352
sg8
(lp6353
(dp6354
g11
(lp6355
sg13
Va+b+d
p6356
sg15
L1L
sass(g1693
g5649
g6349
L1L
tp6357
(dp6358
g6
V{x,x^2,y} /. x->3
p6359
sg8
(lp6360
(dp6361
g11
(lp6362
sg13
V\u005cleft\u005c{3,9,y\u005cright\u005c}
p6363
sg15
L2L
sass(g1693
g5649
VVerbatim
p6364
L0L
tp6365
(dp6366
g6
V_ /. Verbatim[_]->t
p6367
sg8
(lp6368
(dp6369
g11
(lp6370
sg13
g979
sg15
L1L
sass(g1693
g5649
g6364
L1L
tp6371
(dp6372
g6
Vx /. Verbatim[_]->t
p6373
sg8
(lp6374
(dp6375
g11
(lp6376
sg13
g195
sg15
L2L
sass(g1693
g5649
g6364
L2L
tp6377
(dp6378
g6
Vx /. _->t
p6379
sg8
(lp6380
(dp6381
g11
(lp6382
sg13
g979
sg15
L3L
sass(g1693
VMathematical Functions
p6383
VAbs
p6384
L0L
tp6385
(dp6386
g6
VAbs[-3]
p6387
sg8
(lp6388
(dp6389
g11
(lp6390
sg13
V3
p6391
sg15
L1L
sass(g1693
g6383
g6384
L1L
tp6392
(dp6393
g6
VAbs[3 + I]
p6394
sg8
(lp6395
(dp6396
g11
(lp6397
sg13
V\u005csqrt{10}
p6398
sg15
L2L
sass(g1693
g6383
g6384
L2L
tp6399
(dp6400
g6
VAbs[3.0 + I]
p6401
sg8
(lp6402
(dp6403
g11
(lp6404
sg13
V3.16228
p6405
sg15
L3L
sass(g1693
g6383
g6384
L3L
tp6406
(dp6407
g6
VPlot[Abs[x], {x, -4, 4}]
p6408
sg8
(lp6409
(dp6410
g11
(lp6411
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
p6412
sg15
L4L
sass(g1693
g6383
VBoole
p6413
L0L
tp6414
(dp6415
g6
VBoole[2 == 2]
p6416
sg8
(lp6417
(dp6418
g11
(lp6419
sg13
V1
p6420
sg15
L1L
sass(g1693
g6383
g6413
L1L
tp6421
(dp6422
g6
VBoole[7 < 5]
p6423
sg8
(lp6424
(dp6425
g11
(lp6426
sg13
V0
p6427
sg15
L2L
sass(g1693
g6383
g6413
L2L
tp6428
(dp6429
g6
VBoole[a == 7]
p6430
sg8
(lp6431
(dp6432
g11
(lp6433
sg13
V\u005ctext{Boole}\u005cleft[a\u005ctext{==}7\u005cright]
p6434
sg15
L3L
sass(g1693
g6383
VComplex
p6435
L0L
tp6436
(dp6437
g6
VHead[2 + 3*I]
p6438
sg8
(lp6439
(dp6440
g11
(lp6441
sg13
V\u005ctext{Complex}
p6442
sg15
L1L
sass(g1693
g6383
g6435
L1L
tp6443
(dp6444
g6
VComplex[1, 2/3]
p6445
sg8
(lp6446
(dp6447
g11
(lp6448
sg13
V1+\u005cfrac{2 I}{3}
p6449
sg15
L2L
sass(g1693
g6383
g6435
L2L
tp6450
(dp6451
g6
VAbs[Complex[3, 4]]
p6452
sg8
(lp6453
(dp6454
g11
(lp6455
sg13
V5
p6456
sg15
L3L
sass(g1693
g6383
VConjugate
p6457
L0L
tp6458
(dp6459
g6
VConjugate[3 + 4 I]
p6460
sg8
(lp6461
(dp6462
g11
(lp6463
sg13
V3-4 I
p6464
sg15
L1L
sass(g1693
g6383
g6457
L1L
tp6465
(dp6466
g6
VConjugate[3]
p6467
sg8
(lp6468
(dp6469
g11
(lp6470
sg13
V3
p6471
sg15
L2L
sass(g1693
g6383
g6457
L2L
tp6472
(dp6473
g6
VConjugate[a + b * I]
p6474
sg8
(lp6475
(dp6476
g11
(lp6477
sg13
V\u005ctext{Conjugate}\u005cleft[a\u005cright]-I \u005ctext{Conjugate}\u005cleft[b\u005cright]
p6478
sg15
L3L
sass(g1693
g6383
g6457
L3L
tp6479
(dp6480
g6
VConjugate[{{1, 2 + I 4, a + I b}, {I}}]
p6481
sg8
(lp6482
(dp6483
g11
(lp6484
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}
p6485
sg15
L4L
sass(g1693
g6383
g6457
L5L
tp6486
(dp6487
g6
VConjugate[1.5 + 2.5 I]
p6488
sg8
(lp6489
(dp6490
g11
(lp6491
sg13
V1.5-2.5 I
p6492
sg15
L5L
sass(g1693
g6383
VCubeRoot
p6493
L0L
tp6494
(dp6495
g6
VCubeRoot[16]
p6496
sg8
(lp6497
(dp6498
g11
(lp6499
sg13
V2 2^{\u005cfrac{1}{3}}
p6500
sg15
L1L
sass(g1693
g6383
VDirectedInfinity
p6501
L0L
tp6502
(dp6503
g6
VDirectedInfinity[1]
p6504
sg8
(lp6505
(dp6506
g11
(lp6507
sg13
g165
sg15
L1L
sass(g1693
g6383
g6501
L1L
tp6508
(dp6509
g6
VDirectedInfinity[]
p6510
sg8
(lp6511
(dp6512
g11
(lp6513
sg13
V\u005ctext{ComplexInfinity}
p6514
sg15
L2L
sass(g1693
g6383
g6501
L2L
tp6515
(dp6516
g6
VDirectedInfinity[1 + I]
p6517
sg8
(lp6518
(dp6519
g11
(lp6520
sg13
V\u005cleft(\u005cfrac{1}{2}+\u005cfrac{I}{2}\u005cright) \u005csqrt{2} \u005cinfty 
p6521
sg15
L3L
sass(g1693
g6383
g6501
L3L
tp6522
(dp6523
g6
V1 / DirectedInfinity[1 + I]
p6524
sg8
(lp6525
(dp6526
g11
(lp6527
sg13
V0
p6528
sg15
L4L
sass(g1693
g6383
g6501
L4L
tp6529
(dp6530
g6
VDirectedInfinity[1] + DirectedInfinity[-1]
p6531
sg8
(lp6532
(dp6533
g11
(lp6534
(dp6535
g149
I01
sg150
VInfinity
p6536
sg152
Vindet
p6537
sg154
VInfinity::indet
p6538
sg156
VIndeterminate expression -Infinity + Infinity encountered.
p6539
sasg13
V\u005ctext{Indeterminate}
p6540
sg15
L5L
sass(g1693
g6383
g6501
L5L
tp6541
(dp6542
g6
VDirectedInfinity[0]
p6543
sg8
(lp6544
(dp6545
g11
(lp6546
(dp6547
g149
I01
sg150
VInfinity
p6548
sg152
Vindet
p6549
sg154
VInfinity::indet
p6550
sg156
VIndeterminate expression 0 Infinity encountered.
p6551
sasg13
V\u005ctext{Indeterminate}
p6552
sg15
L6L
sass(g1693
g6383
VDivide
p6553
L0L
tp6554
(dp6555
g6
V30 / 5
p6556
sg8
(lp6557
(dp6558
g11
(lp6559
sg13
V6
p6560
sg15
L1L
sass(g1693
g6383
g6553
L1L
tp6561
(dp6562
g6
V1 / 8
p6563
sg8
(lp6564
(dp6565
g11
(lp6566
sg13
V\u005cfrac{1}{8}
p6567
sg15
L2L
sass(g1693
g6383
g6553
L2L
tp6568
(dp6569
g6
VPi / 4
p6570
sg8
(lp6571
(dp6572
g11
(lp6573
sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p6574
sg15
L3L
sass(g1693
g6383
g6553
L3L
tp6575
(dp6576
g6
VPi / 4.0
p6577
sg8
(lp6578
(dp6579
g11
(lp6580
sg13
V0.785398
p6581
sg15
L4L
sass(g1693
g6383
g6553
L4L
tp6582
(dp6583
g6
V1 / 8
p6584
sg8
(lp6585
(dp6586
g11
(lp6587
sg13
V\u005cfrac{1}{8}
p6588
sg15
L5L
sass(g1693
g6383
g6553
L5L
tp6589
(dp6590
g6
VN[%]
p6591
sg8
(lp6592
(dp6593
g11
(lp6594
sg13
V0.125
p6595
sg15
L6L
sass(g1693
g6383
g6553
L6L
tp6596
(dp6597
g6
Va / b / c
p6598
sg8
(lp6599
(dp6600
g11
(lp6601
sg13
V\u005cfrac{a}{b c}
p6602
sg15
L7L
sass(g1693
g6383
g6553
L7L
tp6603
(dp6604
g6
Va / (b / c)
p6605
sg8
(lp6606
(dp6607
g11
(lp6608
sg13
V\u005cfrac{a c}{b}
p6609
sg15
L8L
sass(g1693
g6383
g6553
L8L
tp6610
(dp6611
g6
Va / b / (c / (d / e))
p6612
sg8
(lp6613
(dp6614
g11
(lp6615
sg13
V\u005cfrac{a d}{b c e}
p6616
sg15
L9L
sass(g1693
g6383
g6553
L9L
tp6617
(dp6618
g6
Va / (b ^ 2 * c ^ 3 / e)
p6619
sg8
(lp6620
(dp6621
g11
(lp6622
sg13
V\u005cfrac{a e}{b^2 c^3}
p6623
sg15
L10L
sass(g1693
g6383
VExactNumberQ
p6624
L0L
tp6625
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g6
VExactNumberQ[10]
p6627
sg8
(lp6628
(dp6629
g11
(lp6630
sg13
V\u005ctext{True}
p6631
sg15
L1L
sass(g1693
g6383
g6624
L1L
tp6632
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g6
VExactNumberQ[4.0]
p6634
sg8
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g11
(lp6637
sg13
V\u005ctext{False}
p6638
sg15
L2L
sass(g1693
g6383
g6624
L2L
tp6639
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g6
VExactNumberQ[n]
p6641
sg8
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g11
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sg13
V\u005ctext{False}
p6645
sg15
L3L
sass(g1693
g6383
g6624
L3L
tp6646
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g6
VExactNumberQ[1 + I]
p6648
sg8
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g11
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sg13
V\u005ctext{True}
p6652
sg15
L4L
sass(g1693
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g6624
L4L
tp6653
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g6
VExactNumberQ[1 + 1. I]
p6655
sg8
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g11
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sg13
V\u005ctext{False}
p6659
sg15
L5L
sass(g1693
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p6660
L0L
tp6661
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g6
V20!
p6663
sg8
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g11
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sg13
V2432902008176640000
p6667
sg15
L1L
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g6660
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tp6668
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g6
V10.5!
p6670
sg8
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g11
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sg13
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sg15
L2L
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g6660
L2L
tp6675
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g6
V(-3.0+1.5*I)!
p6677
sg8
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g11
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sg13
V0.0427943-0.00461565 I
p6681
sg15
L3L
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g6383
g6660
L3L
tp6682
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g6
V(-1.)!
p6684
sg8
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g11
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sg13
V\u005ctext{ComplexInfinity}
p6688
sg15
L4L
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g6660
L4L
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V!a! //FullForm
p6691
sg8
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g11
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sg13
V\u005ctext{Not}\u005cleft[\u005ctext{Factorial}\u005cleft[a\u005cright]\u005cright]
p6695
sg15
L5L
sass(g1693
g6383
VGamma
p6696
L0L
tp6697
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g6
VSimplify[Gamma[z] - (z - 1)!]
p6699
sg8
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g11
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sg13
V0
p6703
sg15
L1L
sass(g1693
g6383
g6696
L1L
tp6704
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g6
VGamma[8]
p6706
sg8
(lp6707
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g11
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sg13
V5040
p6710
sg15
L2L
sass(g1693
g6383
g6696
L2L
tp6711
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g6
VGamma[1/2]
p6713
sg8
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g11
(lp6716
sg13
V\u005csqrt{\u005ctext{Pi}}
p6717
sg15
L3L
sass(g1693
g6383
g6696
L3L
tp6718
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g6
VGamma[1, x]
p6720
sg8
(lp6721
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g11
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sg13
VE^{-x}
p6724
sg15
L4L
sass(g1693
g6383
g6696
L4L
tp6725
(dp6726
g6
VGamma[0, x]
p6727
sg8
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g11
(lp6730
sg13
V\u005ctext{ExpIntegralE}\u005cleft[1,x\u005cright]
p6731
sg15
L5L
sass(g1693
g6383
g6696
L5L
tp6732
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g6
VGamma[123.78]
p6734
sg8
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g11
(lp6737
sg13
V4.21078\u005ctimes 10^{204}
p6738
sg15
L6L
sass(g1693
g6383
g6696
L6L
tp6739
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g6
VGamma[1. + I]
p6741
sg8
(lp6742
(dp6743
g11
(lp6744
sg13
V0.498016-0.15495 I
p6745
sg15
L7L
sass(g1693
g6383
g6696
L7L
tp6746
(dp6747
g6
VPlot[{Gamma[x], x!}, {x, 0, 4}]
p6748
sg8
(lp6749
(dp6750
g11
(lp6751
sg13
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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
p6752
sg15
L8L
sass(g1693
g6383
VHarmonicNumber
p6753
L0L
tp6754
(dp6755
g6
VTable[HarmonicNumber[n], {n, 8}]
p6756
sg8
(lp6757
(dp6758
g11
(lp6759
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}
p6760
sg15
L1L
sass(g1693
g6383
g6753
L1L
tp6761
(dp6762
g6
VHarmonicNumber[3.8]
p6763
sg8
(lp6764
(dp6765
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0.44289)+linewidth(0.66667));\u000aclip(box((-30.667,-13.611), (416.67,260.82)));\u000adraw((-16,123.607)--(416,123.607), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$1$", (63.66197723675813,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$2$", (127.32395447351627,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$3$", (190.9859317102744,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$4$", (254.64790894703253,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$5$", (318.3098861837907,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000alabel("$6$", (381.9718634205488,120.94013108331228), (0,-1), rgb(0, 0, 0));\u000adraw((63.662,123.607)--(63.662,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((127.32,123.607)--(127.32,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((190.99,123.607)--(190.99,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((254.65,123.607)--(254.65,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((318.31,123.607)--(318.31,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((381.97,123.607)--(381.97,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((12.732,123.607)--(12.732,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((25.465,123.607)--(25.465,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((38.197,123.607)--(38.197,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((50.93,123.607)--(50.93,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((76.394,123.607)--(76.394,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((89.127,123.607)--(89.127,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((101.86,123.607)--(101.86,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((114.59,123.607)--(114.59,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((140.06,123.607)--(140.06,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((152.79,123.607)--(152.79,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((165.52,123.607)--(165.52,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((178.25,123.607)--(178.25,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((203.72,123.607)--(203.72,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((216.45,123.607)--(216.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((229.18,123.607)--(229.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((241.92,123.607)--(241.92,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((267.38,123.607)--(267.38,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((280.11,123.607)--(280.11,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((292.85,123.607)--(292.85,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((305.58,123.607)--(305.58,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((331.04,123.607)--(331.04,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((343.77,123.607)--(343.77,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((356.51,123.607)--(356.51,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((369.24,123.607)--(369.24,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((394.7,123.607)--(394.7,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((407.44,123.607)--(407.44,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,11.23698161363446), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.42188968180672), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.7917058181512), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((0,11.237)--(6.6667,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.4219)--(6.6667,67.4219), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.792)--(6.6667,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((0,235.977)--(6.6667,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((0,    0)--(4,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.474)--(4,22.474), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.7109)--(4,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.9479)--(4,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.1849)--(4,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.6589)--(4,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8959)--(4,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.133)--(4,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.37)--(4,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.844)--(4,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.081)--(4,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.318)--(4,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.555)--(4,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.029)--(4,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.266)--(4,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.503)--(4,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.74)--(4,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.214)--(4,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p6797
sg15
L2L
sass(g1693
g6383
VInexactNumberQ
p6798
L0L
tp6799
(dp6800
g6
VInexactNumberQ[a]
p6801
sg8
(lp6802
(dp6803
g11
(lp6804
sg13
V\u005ctext{False}
p6805
sg15
L1L
sass(g1693
g6383
g6798
L1L
tp6806
(dp6807
g6
VInexactNumberQ[3.0]
p6808
sg8
(lp6809
(dp6810
g11
(lp6811
sg13
V\u005ctext{True}
p6812
sg15
L2L
sass(g1693
g6383
g6798
L2L
tp6813
(dp6814
g6
VInexactNumberQ[2/3]
p6815
sg8
(lp6816
(dp6817
g11
(lp6818
sg13
V\u005ctext{False}
p6819
sg15
L3L
sass(g1693
g6383
g6798
L3L
tp6820
(dp6821
g6
VInexactNumberQ[4.0+I]
p6822
sg8
(lp6823
(dp6824
g11
(lp6825
sg13
V\u005ctext{True}
p6826
sg15
L4L
sass(g1693
g6383
VIntegerQ
p6827
L0L
tp6828
(dp6829
g6
VIntegerQ[3]
p6830
sg8
(lp6831
(dp6832
g11
(lp6833
sg13
V\u005ctext{True}
p6834
sg15
L1L
sass(g1693
g6383
g6827
L1L
tp6835
(dp6836
g6
VIntegerQ[Pi]
p6837
sg8
(lp6838
(dp6839
g11
(lp6840
sg13
V\u005ctext{False}
p6841
sg15
L2L
sass(g1693
g6383
VInteger
p6842
L0L
tp6843
(dp6844
g6
VHead[5]
p6845
sg8
(lp6846
(dp6847
g11
(lp6848
sg13
V\u005ctext{Integer}
p6849
sg15
L1L
sass(g1693
g6383
VMachineNumberQ
p6850
L0L
tp6851
(dp6852
g6
VMachineNumberQ[3.14159265358979324]
p6853
sg8
(lp6854
(dp6855
g11
(lp6856
sg13
V\u005ctext{False}
p6857
sg15
L1L
sass(g1693
g6383
g6850
L1L
tp6858
(dp6859
g6
VMachineNumberQ[1.5 + 2.3 I]
p6860
sg8
(lp6861
(dp6862
g11
(lp6863
sg13
V\u005ctext{True}
p6864
sg15
L2L
sass(g1693
g6383
g6850
L2L
tp6865
(dp6866
g6
VMachineNumberQ[2.71828182845904524 + 3.14159265358979324 I]
p6867
sg8
(lp6868
(dp6869
g11
(lp6870
sg13
V\u005ctext{False}
p6871
sg15
L3L
sass(g1693
g6383
VMinus
p6872
L0L
tp6873
(dp6874
g6
V-a //FullForm
p6875
sg8
(lp6876
(dp6877
g11
(lp6878
sg13
V\u005ctext{Times}\u005cleft[-1, a\u005cright]
p6879
sg15
L1L
sass(g1693
g6383
g6872
L1L
tp6880
(dp6881
g6
V-(x - 2/3)
p6882
sg8
(lp6883
(dp6884
g11
(lp6885
sg13
V\u005cfrac{2}{3}-x
p6886
sg15
L2L
sass(g1693
g6383
g6872
L2L
tp6887
(dp6888
g6
V-Range[10]
p6889
sg8
(lp6890
(dp6891
g11
(lp6892
sg13
V\u005cleft\u005c{-1,-2,-3,-4,-5,-6,-7,-8,-9,-10\u005cright\u005c}
p6893
sg15
L3L
sass(g1693
g6383
VNumberQ
p6894
L0L
tp6895
(dp6896
g6
VNumberQ[3+I]
p6897
sg8
(lp6898
(dp6899
g11
(lp6900
sg13
V\u005ctext{True}
p6901
sg15
L1L
sass(g1693
g6383
g6894
L1L
tp6902
(dp6903
g6
VNumberQ[5!]
p6904
sg8
(lp6905
(dp6906
g11
(lp6907
sg13
V\u005ctext{True}
p6908
sg15
L2L
sass(g1693
g6383
g6894
L2L
tp6909
(dp6910
g6
VNumberQ[Pi]
p6911
sg8
(lp6912
(dp6913
g11
(lp6914
sg13
V\u005ctext{False}
p6915
sg15
L3L
sass(g1693
g6383
VPiecewise
p6916
L0L
tp6917
(dp6918
g6
VPiecewise[{{0, x <= 0}}, 1]
p6919
sg8
(lp6920
(dp6921
g11
(lp6922
sg13
V\u005ctext{Piecewise}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{0,x\u005ctext{<=}0\u005cright\u005c}\u005cright\u005c},1\u005cright]
p6923
sg15
L1L
sass(g1693
g6383
g6916
L1L
tp6924
(dp6925
g6
VIntegrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], x]
p6926
sg8
(lp6927
(dp6928
g11
(lp6929
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]
p6930
sg15
L2L
sass(g1693
g6383
g6916
L2L
tp6931
(dp6932
g6
VIntegrate[Piecewise[{{1, x <= 0}, {-1, x > 0}}], {x, -1, 2}]
p6933
sg8
(lp6934
(dp6935
g11
(lp6936
sg13
V-1
p6937
sg15
L3L
sass(g1693
g6383
g6916
L3L
tp6938
(dp6939
g6
VPiecewise[{{1, False}}]
p6940
sg8
(lp6941
(dp6942
g11
(lp6943
sg13
V0
p6944
sg15
L4L
sass(g1693
g6383
g6916
L4L
tp6945
(dp6946
g6
VPlot[Piecewise[{{Log[x], x > 0}, {x*-0.5, x < 0}}], {x, -1, 1}]
p6947
sg8
(lp6948
(dp6949
g11
(lp6950
sg13
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0)+linewidth(0.66667));draw((120,190.035)--(120,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((140,190.035)--(140,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((160,190.035)--(160,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((180,190.035)--(180,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((220,190.035)--(220,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((240,190.035)--(240,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((260,190.035)--(260,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((280,190.035)--(280,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((320,190.035)--(320,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((340,190.035)--(340,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((360,190.035)--(360,194.035), rgb(0, 0, 0)+linewidth(0.66667));draw((380,190.035)--(380,194.035), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-2.0$", (197.33333333333334,6.266998061422463), (-1,0), rgb(0, 0, 0));\u000alabel("$-1.5$", (197.33333333333334,52.20892122640266), (-1,0), rgb(0, 0, 0));\u000alabel("$-1.0$", (197.33333333333334,98.15084439138285), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (197.33333333333334,144.09276755636304), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((200,6.267)--(206.67,6.267), rgb(0, 0, 0)+linewidth(0.66667));draw((200,52.2089)--(206.67,52.2089), rgb(0, 0, 0)+linewidth(0.66667));draw((200,98.1508)--(206.67,98.1508), rgb(0, 0, 0)+linewidth(0.66667));draw((200,144.093)--(206.67,144.093), rgb(0, 0, 0)+linewidth(0.66667));draw((200,235.977)--(206.67,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((200,-2.92139)--(204,-2.92139), rgb(0, 0, 0)+linewidth(0.66667));draw((200,15.4554)--(204,15.4554), rgb(0, 0, 0)+linewidth(0.66667));draw((200,24.6438)--(204,24.6438), rgb(0, 0, 0)+linewidth(0.66667));draw((200,33.8322)--(204,33.8322), rgb(0, 0, 0)+linewidth(0.66667));draw((200,43.0205)--(204,43.0205), rgb(0, 0, 0)+linewidth(0.66667));draw((200,61.3973)--(204,61.3973), rgb(0, 0, 0)+linewidth(0.66667));draw((200,70.5857)--(204,70.5857), rgb(0, 0, 0)+linewidth(0.66667));draw((200,79.7741)--(204,79.7741), rgb(0, 0, 0)+linewidth(0.66667));draw((200,88.9625)--(204,88.9625), rgb(0, 0, 0)+linewidth(0.66667));draw((200,107.339)--(204,107.339), rgb(0, 0, 0)+linewidth(0.66667));draw((200,116.528)--(204,116.528), rgb(0, 0, 0)+linewidth(0.66667));draw((200,125.716)--(204,125.716), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.904)--(204,134.904), rgb(0, 0, 0)+linewidth(0.66667));draw((200,153.281)--(204,153.281), rgb(0, 0, 0)+linewidth(0.66667));draw((200,162.47)--(204,162.47), rgb(0, 0, 0)+linewidth(0.66667));draw((200,171.658)--(204,171.658), rgb(0, 0, 0)+linewidth(0.66667));draw((200,180.846)--(204,180.846), rgb(0, 0, 0)+linewidth(0.66667));draw((200,199.223)--(204,199.223), rgb(0, 0, 0)+linewidth(0.66667));draw((200,208.411)--(204,208.411), rgb(0, 0, 0)+linewidth(0.66667));draw((200,217.6)--(204,217.6), rgb(0, 0, 0)+linewidth(0.66667));draw((200,226.788)--(204,226.788), rgb(0, 0, 0)+linewidth(0.66667));draw((200,245.165)--(204,245.165), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p6951
sg15
L5L
sass(g1693
g6383
g6916
L5L
tp6952
(dp6953
g6
VPiecewise[{{0 ^ 0, False}}, -1]
p6954
sg8
(lp6955
(dp6956
g11
(lp6957
sg13
V-1
p6958
sg15
L6L
sass(g1693
g6383
VPlus
p6959
L0L
tp6960
(dp6961
g6
V1 + 2
p6962
sg8
(lp6963
(dp6964
g11
(lp6965
sg13
V3
p6966
sg15
L1L
sass(g1693
g6383
g6959
L1L
tp6967
(dp6968
g6
Va + b + a
p6969
sg8
(lp6970
(dp6971
g11
(lp6972
sg13
V2 a+b
p6973
sg15
L2L
sass(g1693
g6383
g6959
L2L
tp6974
(dp6975
g6
Va + a + 3 * a
p6976
sg8
(lp6977
(dp6978
g11
(lp6979
sg13
V5 a
p6980
sg15
L3L
sass(g1693
g6383
g6959
L3L
tp6981
(dp6982
g6
Va + b + 4.5 + a + b + a + 2 + 1.5 b
p6983
sg8
(lp6984
(dp6985
g11
(lp6986
sg13
V6.5+3 a+3.5 b
p6987
sg15
L4L
sass(g1693
g6383
g6959
L4L
tp6988
(dp6989
g6
VPlus @@ {2, 4, 6}
p6990
sg8
(lp6991
(dp6992
g11
(lp6993
sg13
V12
p6994
sg15
L5L
sass(g1693
g6383
g6959
L5L
tp6995
(dp6996
g6
VPlus @@ Range[1000]
p6997
sg8
(lp6998
(dp6999
g11
(lp7000
sg13
V500500
p7001
sg15
L6L
sass(g1693
g6383
g6959
L6L
tp7002
(dp7003
g6
VDefaultValues[Plus]
p7004
sg8
(lp7005
(dp7006
g11
(lp7007
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Plus}\u005cright]\u005cright]\u005ctext{:>}0\u005cright\u005c}
p7008
sg15
L7L
sass(g1693
g6383
g6959
L7L
tp7009
(dp7010
g6
Va /. n_. + x_ :> {n, x}
p7011
sg8
(lp7012
(dp7013
g11
(lp7014
sg13
V\u005cleft\u005c{0,a\u005cright\u005c}
p7015
sg15
L8L
sass(g1693
g6383
g6959
L8L
tp7016
(dp7017
g6
V2 Graphics[{Red,Disk[]}] + 3 Graphics[{Red,Disk[]}]
p7018
sg8
(lp7019
(dp7020
g11
(lp7021
sg13
V5 \u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8333cm, 5.8333cm);\u000afilldraw(ellipse((175,175),175,175), rgb(1, 0, 0), nullpen);\u000aclip(box((0,0), (350,350)));\u000a\u005cend{asy}\u000a
p7022
sg15
L9L
sass(g1693
g6383
VPochhammer
p7023
L0L
tp7024
(dp7025
g6
VPochhammer[4, 8]
p7026
sg8
(lp7027
(dp7028
g11
(lp7029
sg13
V6652800
p7030
sg15
L1L
sass(g1693
g6383
VPossibleZeroQ
p7031
L0L
tp7032
(dp7033
g6
VPossibleZeroQ[E^(I Pi/4) - (-1)^(1/4)]
p7034
sg8
(lp7035
(dp7036
g11
(lp7037
sg13
V\u005ctext{True}
p7038
sg15
L1L
sass(g1693
g6383
g7031
L1L
tp7039
(dp7040
g6
VPossibleZeroQ[(x + 1) (x - 1) - x^2 + 1]
p7041
sg8
(lp7042
(dp7043
g11
(lp7044
sg13
V\u005ctext{True}
p7045
sg15
L2L
sass(g1693
g6383
g7031
L2L
tp7046
(dp7047
g6
VPossibleZeroQ[(E + Pi)^2 - E^2 - Pi^2 - 2 E Pi]
p7048
sg8
(lp7049
(dp7050
g11
(lp7051
sg13
V\u005ctext{True}
p7052
sg15
L3L
sass(g1693
g6383
g7031
L3L
tp7053
(dp7054
g6
VPossibleZeroQ[E^Pi - Pi^E]
p7055
sg8
(lp7056
(dp7057
g11
(lp7058
sg13
V\u005ctext{False}
p7059
sg15
L4L
sass(g1693
g6383
g7031
L4L
tp7060
(dp7061
g6
VPossibleZeroQ[1/x + 1/y - (x + y)/(x y)]
p7062
sg8
(lp7063
(dp7064
g11
(lp7065
sg13
V\u005ctext{True}
p7066
sg15
L5L
sass(g1693
g6383
g7031
L5L
tp7067
(dp7068
g6
VPossibleZeroQ[2^(2 I) - 2^(-2 I) - 2 I Sin[Log[4]]]
p7069
sg8
(lp7070
(dp7071
g11
(lp7072
sg13
V\u005ctext{True}
p7073
sg15
L6L
sass(g1693
g6383
g7031
L6L
tp7074
(dp7075
g6
VPossibleZeroQ[Sqrt[x^2] - x]
p7076
sg8
(lp7077
(dp7078
g11
(lp7079
sg13
V\u005ctext{False}
p7080
sg15
L7L
sass(g1693
g6383
VPower
p7081
L0L
tp7082
(dp7083
g6
V4 ^ (1/2)
p7084
sg8
(lp7085
(dp7086
g11
(lp7087
sg13
V2
p7088
sg15
L1L
sass(g1693
g6383
g7081
L1L
tp7089
(dp7090
g6
V4 ^ (1/3)
p7091
sg8
(lp7092
(dp7093
g11
(lp7094
sg13
V2^{\u005cfrac{2}{3}}
p7095
sg15
L2L
sass(g1693
g6383
g7081
L2L
tp7096
(dp7097
g6
V3^123
p7098
sg8
(lp7099
(dp7100
g11
(lp7101
sg13
V48519278097689642681155855396759336072749841943521979872827
p7102
sg15
L3L
sass(g1693
g6383
g7081
L3L
tp7103
(dp7104
g6
V(y ^ 2) ^ (1/2)
p7105
sg8
(lp7106
(dp7107
g11
(lp7108
sg13
V\u005csqrt{y^2}
p7109
sg15
L4L
sass(g1693
g6383
g7081
L4L
tp7110
(dp7111
g6
V(y ^ 2) ^ 3
p7112
sg8
(lp7113
(dp7114
g11
(lp7115
sg13
Vy^6
p7116
sg15
L5L
sass(g1693
g6383
g7081
L5L
tp7117
(dp7118
g6
VPlot[Evaluate[Table[x^y, {y, 1, 5}]], {x, -1.5, 1.5}, AspectRatio -> 1]
p7119
sg8
(lp7120
(dp7121
g11
(lp7122
sg13
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0)+linewidth(0.66667));draw((175,225.906)--(179,225.906), rgb(0, 0, 0)+linewidth(0.66667));draw((175,236.144)--(179,236.144), rgb(0, 0, 0)+linewidth(0.66667));draw((175,246.382)--(179,246.382), rgb(0, 0, 0)+linewidth(0.66667));draw((175,266.859)--(179,266.859), rgb(0, 0, 0)+linewidth(0.66667));draw((175,277.097)--(179,277.097), rgb(0, 0, 0)+linewidth(0.66667));draw((175,287.335)--(179,287.335), rgb(0, 0, 0)+linewidth(0.66667));draw((175,297.573)--(179,297.573), rgb(0, 0, 0)+linewidth(0.66667));draw((175,318.05)--(179,318.05), rgb(0, 0, 0)+linewidth(0.66667));draw((175,328.288)--(179,328.288), rgb(0, 0, 0)+linewidth(0.66667));draw((175,338.526)--(179,338.526), rgb(0, 0, 0)+linewidth(0.66667));draw((175,348.764)--(179,348.764), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p7123
sg15
L6L
sass(g1693
g6383
g7081
L6L
tp7124
(dp7125
g6
V4.0 ^ (1/3)
p7126
sg8
(lp7127
(dp7128
g11
(lp7129
sg13
V1.5874
p7130
sg15
L7L
sass(g1693
g6383
g7081
L7L
tp7131
(dp7132
g6
VDefaultValues[Power]
p7133
sg8
(lp7134
(dp7135
g11
(lp7136
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Power},2\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p7137
sg15
L8L
sass(g1693
g6383
g7081
L8L
tp7138
(dp7139
g6
Va /. x_ ^ n_. :> {x, n}
p7140
sg8
(lp7141
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g11
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rgb(0, 0, 0)+linewidth(0.66667));draw((381.97,123.607)--(381.97,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((12.732,123.607)--(12.732,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((25.465,123.607)--(25.465,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((38.197,123.607)--(38.197,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((50.93,123.607)--(50.93,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((76.394,123.607)--(76.394,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((89.127,123.607)--(89.127,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((101.86,123.607)--(101.86,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((114.59,123.607)--(114.59,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((140.06,123.607)--(140.06,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((152.79,123.607)--(152.79,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((165.52,123.607)--(165.52,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((178.25,123.607)--(178.25,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((203.72,123.607)--(203.72,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((216.45,123.607)--(216.45,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((229.18,123.607)--(229.18,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((241.92,123.607)--(241.92,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((267.38,123.607)--(267.38,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((280.11,123.607)--(280.11,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((292.85,123.607)--(292.85,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((305.58,123.607)--(305.58,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((331.04,123.607)--(331.04,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((343.77,123.607)--(343.77,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((356.51,123.607)--(356.51,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((369.24,123.607)--(369.24,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((394.7,123.607)--(394.7,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((407.44,123.607)--(407.44,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((0,-12.9443)--(0,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (-2.6666666666666665,11.23698161363446), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (-2.6666666666666665,67.42188968180672), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (-2.6666666666666665,179.7917058181512), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (-2.6666666666666665,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((0,11.237)--(6.6667,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((0,67.4219)--(6.6667,67.4219), rgb(0, 0, 0)+linewidth(0.66667));draw((0,179.792)--(6.6667,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((0,235.977)--(6.6667,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((0,    0)--(4,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((0,22.474)--(4,22.474), rgb(0, 0, 0)+linewidth(0.66667));draw((0,33.7109)--(4,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((0,44.9479)--(4,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((0,56.1849)--(4,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((0,78.6589)--(4,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((0,89.8959)--(4,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((0,101.133)--(4,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((0,112.37)--(4,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((0,134.844)--(4,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((0,146.081)--(4,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((0,157.318)--(4,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((0,168.555)--(4,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((0,191.029)--(4,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((0,202.266)--(4,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((0,213.503)--(4,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((0,224.74)--(4,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((0,247.214)--(4,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p7250
sg15
L2L
sass(g1693
g6383
VRealNumberQ
p7251
L0L
tp7252
(dp7253
g6
VRealNumberQ[10]
p7254
sg8
(lp7255
(dp7256
g11
(lp7257
sg13
V\u005ctext{True}
p7258
sg15
L1L
sass(g1693
g6383
g7251
L1L
tp7259
(dp7260
g6
VRealNumberQ[4.0]
p7261
sg8
(lp7262
(dp7263
g11
(lp7264
sg13
V\u005ctext{True}
p7265
sg15
L2L
sass(g1693
g6383
g7251
L2L
tp7266
(dp7267
g6
VRealNumberQ[1+I]
p7268
sg8
(lp7269
(dp7270
g11
(lp7271
sg13
V\u005ctext{False}
p7272
sg15
L3L
sass(g1693
g6383
g7251
L3L
tp7273
(dp7274
g6
VRealNumberQ[0 * I]
p7275
sg8
(lp7276
(dp7277
g11
(lp7278
sg13
V\u005ctext{True}
p7279
sg15
L4L
sass(g1693
g6383
g7251
L4L
tp7280
(dp7281
g6
VRealNumberQ[0.0 * I]
p7282
sg8
(lp7283
(dp7284
g11
(lp7285
sg13
V\u005ctext{True}
p7286
sg15
L5L
sass(g1693
g6383
VReal
p7287
L0L
tp7288
(dp7289
g6
Vx = 3. ^ -20;
p7290
sg8
(lp7291
(dp7292
g11
(lp7293
sg13
Nsg15
L1L
sass(g1693
g6383
g7287
L1L
tp7294
(dp7295
g6
VInputForm[x]
p7296
sg8
(lp7297
(dp7298
g11
(lp7299
sg13
V2.8679719907924413\u005ctext{*${}^{\u005cwedge}$}-10
p7300
sg15
L2L
sass(g1693
g6383
g7287
L2L
tp7301
(dp7302
g6
VHead[x]
p7303
sg8
(lp7304
(dp7305
g11
(lp7306
sg13
V\u005ctext{Real}
p7307
sg15
L3L
sass(g1693
g6383
VSign
p7308
L0L
tp7309
(dp7310
g6
VSign[19]
p7311
sg8
(lp7312
(dp7313
g11
(lp7314
sg13
V1
p7315
sg15
L1L
sass(g1693
g6383
g7308
L1L
tp7316
(dp7317
g6
VSign[-6]
p7318
sg8
(lp7319
(dp7320
g11
(lp7321
sg13
V-1
p7322
sg15
L2L
sass(g1693
g6383
g7308
L2L
tp7323
(dp7324
g6
VSign[0]
p7325
sg8
(lp7326
(dp7327
g11
(lp7328
sg13
V0
p7329
sg15
L3L
sass(g1693
g6383
g7308
L3L
tp7330
(dp7331
g6
VSign[{-5, -10, 15, 20, 0}]
p7332
sg8
(lp7333
(dp7334
g11
(lp7335
sg13
V\u005cleft\u005c{-1,-1,1,1,0\u005cright\u005c}
p7336
sg15
L4L
sass(g1693
g6383
g7308
L5L
tp7337
(dp7338
g6
VSign[3 - 4*I]
p7339
sg8
(lp7340
(dp7341
g11
(lp7342
sg13
V\u005cfrac{3}{5}-\u005cfrac{4 I}{5}
p7343
sg15
L5L
sass(g1693
g6383
VSqrt
p7344
L0L
tp7345
(dp7346
g6
VSqrt[4]
p7347
sg8
(lp7348
(dp7349
g11
(lp7350
sg13
V2
p7351
sg15
L1L
sass(g1693
g6383
g7344
L1L
tp7352
(dp7353
g6
VSqrt[5]
p7354
sg8
(lp7355
(dp7356
g11
(lp7357
sg13
V\u005csqrt{5}
p7358
sg15
L2L
sass(g1693
g6383
g7344
L2L
tp7359
(dp7360
g6
VSqrt[5] // N
p7361
sg8
(lp7362
(dp7363
g11
(lp7364
sg13
V2.23607
p7365
sg15
L3L
sass(g1693
g6383
g7344
L3L
tp7366
(dp7367
g6
VSqrt[a]^2
p7368
sg8
(lp7369
(dp7370
g11
(lp7371
sg13
g542
sg15
L4L
sass(g1693
g6383
g7344
L4L
tp7372
(dp7373
g6
VSqrt[-4]
p7374
sg8
(lp7375
(dp7376
g11
(lp7377
sg13
V2 I
p7378
sg15
L5L
sass(g1693
g6383
g7344
L5L
tp7379
(dp7380
g6
VI == Sqrt[-1]
p7381
sg8
(lp7382
(dp7383
g11
(lp7384
sg13
V\u005ctext{True}
p7385
sg15
L6L
sass(g1693
g6383
g7344
L6L
tp7386
(dp7387
g6
VPlot[Sqrt[a^2], {a, -2, 2}]
p7388
sg8
(lp7389
(dp7390
g11
(lp7391
sg13
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p7392
sg15
L7L
sass(g1693
g6383
VSubtract
p7393
L0L
tp7394
(dp7395
g6
V5 - 3
p7396
sg8
(lp7397
(dp7398
g11
(lp7399
sg13
V2
p7400
sg15
L1L
sass(g1693
g6383
g7393
L1L
tp7401
(dp7402
g6
Va - b // FullForm
p7403
sg8
(lp7404
(dp7405
g11
(lp7406
sg13
V\u005ctext{Plus}\u005cleft[a, \u005ctext{Times}\u005cleft[-1, b\u005cright]\u005cright]
p7407
sg15
L2L
sass(g1693
g6383
g7393
L2L
tp7408
(dp7409
g6
Va - b - c
p7410
sg8
(lp7411
(dp7412
g11
(lp7413
sg13
Va-b-c
p7414
sg15
L3L
sass(g1693
g6383
g7393
L3L
tp7415
(dp7416
g6
Va - (b - c)
p7417
sg8
(lp7418
(dp7419
g11
(lp7420
sg13
Va-b+c
p7421
sg15
L4L
sass(g1693
g6383
VSum
p7422
L0L
tp7423
(dp7424
g6
VSum[k, {k, 1, 10}]
p7425
sg8
(lp7426
(dp7427
g11
(lp7428
sg13
V55
p7429
sg15
L1L
sass(g1693
g6383
g7422
L1L
tp7430
(dp7431
g6
VSum[i * j, {i, 1, 10}, {j, 1, 10}]
p7432
sg8
(lp7433
(dp7434
g11
(lp7435
sg13
V3025
p7436
sg15
L2L
sass(g1693
g6383
g7422
L2L
tp7437
(dp7438
g6
VSum[k, {k, 1, n}]
p7439
sg8
(lp7440
(dp7441
g11
(lp7442
sg13
V\u005cfrac{n \u005cleft(1+n\u005cright)}{2}
p7443
sg15
L3L
sass(g1693
g6383
g7422
L3L
tp7444
(dp7445
g6
VSum[k, {k, n, 2 n}]
p7446
sg8
(lp7447
(dp7448
g11
(lp7449
sg13
V\u005cfrac{3 n \u005cleft(1+n\u005cright)}{2}
p7450
sg15
L4L
sass(g1693
g6383
g7422
L4L
tp7451
(dp7452
g6
VSum[k, {k, I, I + 1}]
p7453
sg8
(lp7454
(dp7455
g11
(lp7456
sg13
V1+2 I
p7457
sg15
L5L
sass(g1693
g6383
g7422
L5L
tp7458
(dp7459
g6
VSum[1 / k ^ 2, {k, 1, n}]
p7460
sg8
(lp7461
(dp7462
g11
(lp7463
sg13
V\u005ctext{HarmonicNumber}\u005cleft[n,2\u005cright]
p7464
sg15
L6L
sass(g1693
g6383
g7422
L6L
tp7465
(dp7466
g6
VSum[f[i], {i, 1, 7}]
p7467
sg8
(lp7468
(dp7469
g11
(lp7470
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]
p7471
sg15
L7L
sass(g1693
g6383
g7422
L7L
tp7472
(dp7473
g6
VSum[x ^ 2, {x, 1, y}] - y * (y + 1) * (2 * y + 1) / 6
p7474
sg8
(lp7475
(dp7476
g11
(lp7477
sg13
V0
p7478
sg15
L8L
sass(g1693
g6383
g7422
L8L
tp7479
(dp7480
g6
VSum[1 / 2 ^ i, {i, 1, Infinity}]
p7481
sg8
(lp7482
(dp7483
g11
(lp7484
sg13
V1
p7485
sg15
L9L
sass(g1693
g6383
g7422
L9L
tp7486
(dp7487
g6
VSum[1 / k ^ 2, {k, 1, Infinity}]
p7488
sg8
(lp7489
(dp7490
g11
(lp7491
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p7492
sg15
L10L
sass(g1693
g6383
VTimes
p7493
L0L
tp7494
(dp7495
g6
V10 * 2
p7496
sg8
(lp7497
(dp7498
g11
(lp7499
sg13
V20
p7500
sg15
L1L
sass(g1693
g6383
g7493
L1L
tp7501
(dp7502
g6
V10 2
p7503
sg8
(lp7504
(dp7505
g11
(lp7506
sg13
V20
p7507
sg15
L2L
sass(g1693
g6383
g7493
L2L
tp7508
(dp7509
g6
Va * a
p7510
sg8
(lp7511
(dp7512
g11
(lp7513
sg13
Va^2
p7514
sg15
L3L
sass(g1693
g6383
g7493
L3L
tp7515
(dp7516
g6
Vx ^ 10 * x ^ -2
p7517
sg8
(lp7518
(dp7519
g11
(lp7520
sg13
Vx^8
p7521
sg15
L4L
sass(g1693
g6383
g7493
L4L
tp7522
(dp7523
g6
V{1, 2, 3} * 4
p7524
sg8
(lp7525
(dp7526
g11
(lp7527
sg13
V\u005cleft\u005c{4,8,12\u005cright\u005c}
p7528
sg15
L5L
sass(g1693
g6383
g7493
L5L
tp7529
(dp7530
g6
VTimes @@ {1, 2, 3, 4}
p7531
sg8
(lp7532
(dp7533
g11
(lp7534
sg13
V24
p7535
sg15
L6L
sass(g1693
g6383
g7493
L6L
tp7536
(dp7537
g6
VIntegerLength[Times@@Range[5000]]
p7538
sg8
(lp7539
(dp7540
g11
(lp7541
sg13
V16326
p7542
sg15
L7L
sass(g1693
g6383
g7493
L7L
tp7543
(dp7544
g6
VDefaultValues[Times]
p7545
sg8
(lp7546
(dp7547
g11
(lp7548
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[\u005ctext{Times}\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p7549
sg15
L8L
sass(g1693
g6383
g7493
L8L
tp7550
(dp7551
g6
Va /. n_. * x_ :> {n, x}
p7552
sg8
(lp7553
(dp7554
g11
(lp7555
sg13
V\u005cleft\u005c{1,a\u005cright\u005c}
p7556
sg15
L9L
sass(g1693
VFunctional Programming
p7557
VComposition
p7558
L0L
tp7559
(dp7560
g6
VComposition[f, g][x]
p7561
sg8
(lp7562
(dp7563
g11
(lp7564
sg13
Vf\u005cleft[g\u005cleft[x\u005cright]\u005cright]
p7565
sg15
L1L
sass(g1693
g7557
g7558
L1L
tp7566
(dp7567
g6
VComposition[f, g, h][x, y, z]
p7568
sg8
(lp7569
(dp7570
g11
(lp7571
sg13
Vf\u005cleft[g\u005cleft[h\u005cleft[x,y,z\u005cright]\u005cright]\u005cright]
p7572
sg15
L2L
sass(g1693
g7557
g7558
L2L
tp7573
(dp7574
g6
VComposition[]
p7575
sg8
(lp7576
(dp7577
g11
(lp7578
sg13
V\u005ctext{Identity}
p7579
sg15
L3L
sass(g1693
g7557
g7558
L3L
tp7580
(dp7581
g6
VComposition[][x]
p7582
sg8
(lp7583
(dp7584
g11
(lp7585
sg13
g195
sg15
L4L
sass(g1693
g7557
g7558
L4L
tp7586
(dp7587
g6
VAttributes[Composition]
p7588
sg8
(lp7589
(dp7590
g11
(lp7591
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{OneIdentity},\u005ctext{Protected}\u005cright\u005c}
p7592
sg15
L5L
sass(g1693
g7557
g7558
L5L
tp7593
(dp7594
g6
VComposition[f, Composition[g, h]]
p7595
sg8
(lp7596
(dp7597
g11
(lp7598
sg13
V\u005ctext{Composition}\u005cleft[f,g,h\u005cright]
p7599
sg15
L6L
sass(g1693
g7557
VFunction
p7600
L0L
tp7601
(dp7602
g6
Vf := # ^ 2 &
p7603
sg8
(lp7604
(dp7605
g11
(lp7606
sg13
Nsg15
L1L
sass(g1693
g7557
g7600
L1L
tp7607
(dp7608
g6
Vf[3]
p7609
sg8
(lp7610
(dp7611
g11
(lp7612
sg13
V9
p7613
sg15
L2L
sass(g1693
g7557
g7600
L2L
tp7614
(dp7615
g6
V#^3& /@ {1, 2, 3}
p7616
sg8
(lp7617
(dp7618
g11
(lp7619
sg13
V\u005cleft\u005c{1,8,27\u005cright\u005c}
p7620
sg15
L3L
sass(g1693
g7557
g7600
L3L
tp7621
(dp7622
g6
V#1+#2&[4, 5]
p7623
sg8
(lp7624
(dp7625
g11
(lp7626
sg13
V9
p7627
sg15
L4L
sass(g1693
g7557
g7600
L4L
tp7628
(dp7629
g6
VFunction[{x, y}, x * y][2, 3]
p7630
sg8
(lp7631
(dp7632
g11
(lp7633
sg13
V6
p7634
sg15
L5L
sass(g1693
g7557
g7600
L5L
tp7635
(dp7636
g6
VFunction[{x}, Function[{y}, f[x, y]]][y]
p7637
sg8
(lp7638
(dp7639
g11
(lp7640
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{\u005ctext{y\u005c$}\u005cright\u005c},f\u005cleft[y,\u005ctext{y\u005c$}\u005cright]\u005cright]
p7641
sg15
L6L
sass(g1693
g7557
g7600
L6L
tp7642
(dp7643
g6
VFunction[{y}, f[x, y]] /. x->y
p7644
sg8
(lp7645
(dp7646
g11
(lp7647
sg13
V\u005ctext{Function}\u005cleft[\u005cleft\u005c{y\u005cright\u005c},f\u005cleft[y,y\u005cright]\u005cright]
p7648
sg15
L7L
sass(g1693
g7557
g7600
L7L
tp7649
(dp7650
g6
VFunction[y, Function[x, y^x]][x][y]
p7651
sg8
(lp7652
(dp7653
g11
(lp7654
sg13
Vx^y
p7655
sg15
L8L
sass(g1693
g7557
g7600
L8L
tp7656
(dp7657
g6
VFunction[x, Function[y, x^y]][x][y]
p7658
sg8
(lp7659
(dp7660
g11
(lp7661
sg13
Vx^y
p7662
sg15
L9L
sass(g1693
g7557
g7600
L9L
tp7663
(dp7664
g6
Vg[#] & [h[#]] & [5]
p7665
sg8
(lp7666
(dp7667
g11
(lp7668
sg13
Vg\u005cleft[h\u005cleft[5\u005cright]\u005cright]
p7669
sg15
L10L
sass(g1693
g7557
VIdentity
p7670
L0L
tp7671
(dp7672
g6
VIdentity[x]
p7673
sg8
(lp7674
(dp7675
g11
(lp7676
sg13
g195
sg15
L1L
sass(g1693
g7557
g7670
L1L
tp7677
(dp7678
g6
VIdentity[x, y]
p7679
sg8
(lp7680
(dp7681
g11
(lp7682
sg13
V\u005ctext{Identity}\u005cleft[x,y\u005cright]
p7683
sg15
L2L
sass(g1693
g7557
VSlot
p7684
L0L
tp7685
(dp7686
g6
V#
p7687
sg8
(lp7688
(dp7689
g11
(lp7690
sg13
V\u005ctext{\u005c#1}
p7691
sg15
L1L
sass(g1693
g7557
g7684
L1L
tp7692
(dp7693
g6
V{#1, #2, #3}&[1, 2, 3, 4, 5]
p7694
sg8
(lp7695
(dp7696
g11
(lp7697
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p7698
sg15
L2L
sass(g1693
g7557
g7684
L2L
tp7699
(dp7700
g6
VIf[#1<=1, 1, #1 #0[#1-1]]& [10]
p7701
sg8
(lp7702
(dp7703
g11
(lp7704
sg13
V3628800
p7705
sg15
L3L
sass(g1693
g7557
VSlotSequence
p7706
L0L
tp7707
(dp7708
g6
VPlus[##]& [1, 2, 3]
p7709
sg8
(lp7710
(dp7711
g11
(lp7712
sg13
V6
p7713
sg15
L1L
sass(g1693
g7557
g7706
L1L
tp7714
(dp7715
g6
VPlus[##2]& [1, 2, 3]
p7716
sg8
(lp7717
(dp7718
g11
(lp7719
sg13
V5
p7720
sg15
L2L
sass(g1693
g7557
g7706
L2L
tp7721
(dp7722
g6
VFullForm[##]
p7723
sg8
(lp7724
(dp7725
g11
(lp7726
sg13
V\u005ctext{SlotSequence}\u005cleft[1\u005cright]
p7727
sg15
L3L
sass(g1693
VCompilation
p7728
VCompile
p7729
L0L
tp7730
(dp7731
g6
Vcf = Compile[{x, y}, x + 2 y]
p7732
sg8
(lp7733
(dp7734
g11
(lp7735
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x,y\u005cright\u005c},x+2 y,-CompiledCode-\u005cright]
p7736
sg15
L1L
sass(g1693
g7728
g7729
L1L
tp7737
(dp7738
g6
Vcf[2.5, 4.3]
p7739
sg8
(lp7740
(dp7741
g11
(lp7742
sg13
V11.1
p7743
sg15
L2L
sass(g1693
g7728
g7729
L2L
tp7744
(dp7745
g6
Vcf = Compile[{{x, _Real}}, Sin[x]]
p7746
sg8
(lp7747
(dp7748
g11
(lp7749
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x\u005cright\u005c},\u005ctext{Sin}\u005cleft[x\u005cright],-CompiledCode-\u005cright]
p7750
sg15
L3L
sass(g1693
g7728
g7729
L3L
tp7751
(dp7752
g6
Vcf[1.4]
p7753
sg8
(lp7754
(dp7755
g11
(lp7756
sg13
V0.98545
p7757
sg15
L4L
sass(g1693
g7728
g7729
L12L
tp7758
(dp7759
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]
p7760
sg8
(lp7761
(dp7762
g11
(lp7763
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]
p7764
sg15
L5L
sass(g1693
g7728
g7729
L13L
tp7765
(dp7766
g6
Vcf[3.5, 2]
p7767
sg8
(lp7768
(dp7769
g11
(lp7770
sg13
V2.18888
p7771
sg15
L6L
sass(g1693
g7728
g7729
L15L
tp7772
(dp7773
g6
VCompile[{{a, _Integer}, {b, _Integer}}, While[b != 0, {a, b} = {b, Mod[a, b]}]; a]       (* GCD of a, b *)
p7774
sg8
(lp7775
(dp7776
g11
(lp7777
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{a,b\u005cright\u005c},a,-PythonizedCode-\u005cright]
p7778
sg15
L7L
sass(g1693
g7728
VCompiledFunction
p7779
L0L
tp7780
(dp7781
g6
Vsqr = Compile[{x}, x x]
p7782
sg8
(lp7783
(dp7784
g11
(lp7785
sg13
V\u005ctext{CompiledFunction}\u005cleft[\u005cleft\u005c{x\u005cright\u005c},x^2,-CompiledCode-\u005cright]
p7786
sg15
L1L
sass(g1693
g7728
g7779
L1L
tp7787
(dp7788
g6
VHead[sqr]
p7789
sg8
(lp7790
(dp7791
g11
(lp7792
sg13
V\u005ctext{CompiledFunction}
p7793
sg15
L2L
sass(g1693
g7728
g7779
L2L
tp7794
(dp7795
g6
Vsqr[2]
p7796
sg8
(lp7797
(dp7798
g11
(lp7799
sg13
V4.
p7800
sg15
L3L
sass(g1693
VOptions and Default Arguments
p7801
VDefault
p7802
L0L
tp7803
(dp7804
g6
VDefault[f] = 1
p7805
sg8
(lp7806
(dp7807
g11
(lp7808
sg13
V1
p7809
sg15
L1L
sass(g1693
g7801
g7802
L1L
tp7810
(dp7811
g6
Vf[x_.] := x ^ 2
p7812
sg8
(lp7813
(dp7814
g11
(lp7815
sg13
Nsg15
L2L
sass(g1693
g7801
g7802
L2L
tp7816
(dp7817
g6
Vf[]
p7818
sg8
(lp7819
(dp7820
g11
(lp7821
sg13
V1
p7822
sg15
L3L
sass(g1693
g7801
g7802
L3L
tp7823
(dp7824
g6
VDefaultValues[f]
p7825
sg8
(lp7826
(dp7827
g11
(lp7828
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[f\u005cright]\u005cright]\u005ctext{:>}1\u005cright\u005c}
p7829
sg15
L4L
sass(g1693
g7801
g7802
L4L
tp7830
(dp7831
g6
VDefault[h, k_, n_] := {k, n}
p7832
sg8
(lp7833
(dp7834
g11
(lp7835
sg13
Nsg15
L5L
sass(g1693
g7801
g7802
L5L
tp7836
(dp7837
g6
Vh[] /. h[___, ___, x_., y_., ___] -> {x, y}
p7838
sg8
(lp7839
(dp7840
g11
(lp7841
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,5\u005cright\u005c},\u005cleft\u005c{4,5\u005cright\u005c}\u005cright\u005c}
p7842
sg15
L6L
sass(g1693
g7801
VFilterRules
p7843
L0L
tp7844
(dp7845
g6
VFilterRules[{x -> 100, y -> 1000}, x]
p7846
sg8
(lp7847
(dp7848
g11
(lp7849
sg13
V\u005cleft\u005c{x->100\u005cright\u005c}
p7850
sg15
L1L
sass(g1693
g7801
g7843
L1L
tp7851
(dp7852
g6
VFilterRules[{x -> 100, y -> 1000, z -> 10000}, {a, b, x, z}]
p7853
sg8
(lp7854
(dp7855
g11
(lp7856
sg13
V\u005cleft\u005c{x->100,z->10000\u005cright\u005c}
p7857
sg15
L2L
sass(g1693
g7801
VNotOptionQ
p7858
L0L
tp7859
(dp7860
g6
VNotOptionQ[x]
p7861
sg8
(lp7862
(dp7863
g11
(lp7864
sg13
V\u005ctext{True}
p7865
sg15
L1L
sass(g1693
g7801
g7858
L1L
tp7866
(dp7867
g6
VNotOptionQ[2]
p7868
sg8
(lp7869
(dp7870
g11
(lp7871
sg13
V\u005ctext{True}
p7872
sg15
L2L
sass(g1693
g7801
g7858
L2L
tp7873
(dp7874
g6
VNotOptionQ["abc"]
p7875
sg8
(lp7876
(dp7877
g11
(lp7878
sg13
V\u005ctext{True}
p7879
sg15
L3L
sass(g1693
g7801
g7858
L3L
tp7880
(dp7881
g6
VNotOptionQ[a -> True]
p7882
sg8
(lp7883
(dp7884
g11
(lp7885
sg13
V\u005ctext{False}
p7886
sg15
L4L
sass(g1693
g7801
VOptionQ
p7887
L0L
tp7888
(dp7889
g6
VOptionQ[a -> True]
p7890
sg8
(lp7891
(dp7892
g11
(lp7893
sg13
V\u005ctext{True}
p7894
sg15
L1L
sass(g1693
g7801
g7887
L1L
tp7895
(dp7896
g6
VOptionQ[a :> True]
p7897
sg8
(lp7898
(dp7899
g11
(lp7900
sg13
V\u005ctext{True}
p7901
sg15
L2L
sass(g1693
g7801
g7887
L2L
tp7902
(dp7903
g6
VOptionQ[{a -> True}]
p7904
sg8
(lp7905
(dp7906
g11
(lp7907
sg13
V\u005ctext{True}
p7908
sg15
L3L
sass(g1693
g7801
g7887
L3L
tp7909
(dp7910
g6
VOptionQ[{a :> True}]
p7911
sg8
(lp7912
(dp7913
g11
(lp7914
sg13
V\u005ctext{True}
p7915
sg15
L4L
sass(g1693
g7801
g7887
L4L
tp7916
(dp7917
g6
VOptionQ[{a -> True, {b->1, "c"->2}}]
p7918
sg8
(lp7919
(dp7920
g11
(lp7921
sg13
V\u005ctext{True}
p7922
sg15
L5L
sass(g1693
g7801
g7887
L5L
tp7923
(dp7924
g6
VOptionQ[{a -> True, {b->1, c}}]
p7925
sg8
(lp7926
(dp7927
g11
(lp7928
sg13
V\u005ctext{False}
p7929
sg15
L6L
sass(g1693
g7801
g7887
L6L
tp7930
(dp7931
g6
VOptionQ[{a -> True, F[b->1,c->2]}]
p7932
sg8
(lp7933
(dp7934
g11
(lp7935
sg13
V\u005ctext{False}
p7936
sg15
L7L
sass(g1693
g7801
g7887
L7L
tp7937
(dp7938
g6
VOptionQ[x]
p7939
sg8
(lp7940
(dp7941
g11
(lp7942
sg13
V\u005ctext{False}
p7943
sg15
L8L
sass(g1693
g7801
VOptionValue
p7944
L0L
tp7945
(dp7946
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[a]}
p7947
sg8
(lp7948
(dp7949
g11
(lp7950
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p7951
sg15
L1L
sass(g1693
g7801
g7944
L1L
tp7952
(dp7953
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[b]}
p7954
sg8
(lp7955
(dp7956
g11
(lp7957
(dp7958
g149
I01
sg150
VOptionValue
p7959
sg152
Voptnf
p7960
sg154
VOptionValue::optnf
p7961
sg156
VOption name b not found.
p7962
sasg13
V\u005cleft\u005c{b\u005cright\u005c}
p7963
sg15
L2L
sass(g1693
g7801
g7944
L2L
tp7964
(dp7965
g6
Vf[a->3] /. f[OptionsPattern[{}]] -> {OptionValue[a+b]}
p7966
sg8
(lp7967
(dp7968
g11
(lp7969
(dp7970
g149
I01
sg150
VOptionValue
p7971
sg152
Vsym
p7972
sg154
VOptionValue::sym
p7973
sg156
VArgument a + b at position 1 is expected to be a symbol.
p7974
sasg13
V\u005cleft\u005c{\u005ctext{OptionValue}\u005cleft[a+b\u005cright]\u005cright\u005c}
p7975
sg15
L3L
sass(g1693
g7801
g7944
L3L
tp7976
(dp7977
g6
Vf[a->5] /. f[OptionsPattern[{}]] -> {OptionValue[Symbol["a"]]}
p7978
sg8
(lp7979
(dp7980
g11
(lp7981
sg13
V\u005cleft\u005c{5\u005cright\u005c}
p7982
sg15
L4L
sass(g1693
g7801
VOptions
p7983
L0L
tp7984
(dp7985
g6
VOptions[f] = {n -> 2}
p7986
sg8
(lp7987
(dp7988
g11
(lp7989
sg13
V\u005cleft\u005c{n->2\u005cright\u005c}
p7990
sg15
L1L
sass(g1693
g7801
g7983
L1L
tp7991
(dp7992
g6
VOptions[f]
p7993
sg8
(lp7994
(dp7995
g11
(lp7996
sg13
V\u005cleft\u005c{n\u005ctext{:>}2\u005cright\u005c}
p7997
sg15
L2L
sass(g1693
g7801
g7983
L2L
tp7998
(dp7999
g6
Vf[x_, OptionsPattern[f]] := x ^ OptionValue[n]
p8000
sg8
(lp8001
(dp8002
g11
(lp8003
sg13
Nsg15
L3L
sass(g1693
g7801
g7983
L3L
tp8004
(dp8005
g6
Vf[x]
p8006
sg8
(lp8007
(dp8008
g11
(lp8009
sg13
Vx^2
p8010
sg15
L4L
sass(g1693
g7801
g7983
L4L
tp8011
(dp8012
g6
Vf[x, n -> 3]
p8013
sg8
(lp8014
(dp8015
g11
(lp8016
sg13
Vx^3
p8017
sg15
L5L
sass(g1693
g7801
g7983
L8L
tp8018
(dp8019
g6
Vf[a :> Print["value"]] /. f[OptionsPattern[{}]] :> (OptionValue[a]; Print["between"]; OptionValue[a]);
p8020
sg8
(lp8021
(dp8022
g11
(lp8023
(dp8024
g149
I00
sg156
Vvalue
p8025
sa(dp8026
g149
I00
sg156
Vbetween
p8027
sa(dp8028
g149
I00
sg156
Vvalue
p8029
sasg13
Nsg15
L6L
sass(g1693
g7801
g7983
L9L
tp8030
(dp8031
g6
Vf[a -> Print["value"]] /. f[OptionsPattern[{}]] :> (OptionValue[a]; Print["between"]; OptionValue[a]);
p8032
sg8
(lp8033
(dp8034
g11
(lp8035
(dp8036
g149
I00
sg156
Vvalue
p8037
sa(dp8038
g149
I00
sg156
Vbetween
p8039
sasg13
Nsg15
L7L
sass(g1693
g7801
g7983
L10L
tp8040
(dp8041
g6
VOptions[f] = {a}
p8042
sg8
(lp8043
(dp8044
g11
(lp8045
(dp8046
g149
I01
sg150
VOptions
p8047
sg152
Voptions
p8048
sg154
VOptions::options
p8049
sg156
V{a} is not a valid list of option rules.
p8050
sasg13
V\u005cleft\u005c{a\u005cright\u005c}
p8051
sg15
L8L
sass(g1693
g7801
g7983
L11L
tp8052
(dp8053
g6
VOptions[f] = a -> b
p8054
sg8
(lp8055
(dp8056
g11
(lp8057
sg13
Va->b
p8058
sg15
L9L
sass(g1693
g7801
g7983
L12L
tp8059
(dp8060
g6
VOptions[f]
p8061
sg8
(lp8062
(dp8063
g11
(lp8064
sg13
V\u005cleft\u005c{a\u005ctext{:>}b\u005cright\u005c}
p8065
sg15
L10L
sass(g1693
g7801
g7983
L13L
tp8066
(dp8067
g6
VOptions[a + b] = {a -> b}
p8068
sg8
(lp8069
(dp8070
g11
(lp8071
(dp8072
g149
I01
sg150
VOptions
p8073
sg152
g7972
sg154
VOptions::sym
p8074
sg156
VArgument a + b at position 1 is expected to be a symbol.
p8075
sasg13
V\u005cleft\u005c{a->b\u005cright\u005c}
p8076
sg15
L11L
sass(g1693
VComparison
p8077
VBooleanQ
p8078
L0L
tp8079
(dp8080
g6
VBooleanQ[True]
p8081
sg8
(lp8082
(dp8083
g11
(lp8084
sg13
V\u005ctext{True}
p8085
sg15
L1L
sass(g1693
g8077
g8078
L1L
tp8086
(dp8087
g6
VBooleanQ[False]
p8088
sg8
(lp8089
(dp8090
g11
(lp8091
sg13
V\u005ctext{True}
p8092
sg15
L2L
sass(g1693
g8077
g8078
L2L
tp8093
(dp8094
g6
VBooleanQ[a]
p8095
sg8
(lp8096
(dp8097
g11
(lp8098
sg13
V\u005ctext{False}
p8099
sg15
L3L
sass(g1693
g8077
g8078
L3L
tp8100
(dp8101
g6
VBooleanQ[1 < 2]
p8102
sg8
(lp8103
(dp8104
g11
(lp8105
sg13
V\u005ctext{True}
p8106
sg15
L4L
sass(g1693
g8077
VEqual
p8107
L0L
tp8108
(dp8109
g6
Va==a
p8110
sg8
(lp8111
(dp8112
g11
(lp8113
sg13
V\u005ctext{True}
p8114
sg15
L1L
sass(g1693
g8077
g8107
L1L
tp8115
(dp8116
g6
Va==b
p8117
sg8
(lp8118
(dp8119
g11
(lp8120
sg13
Va\u005ctext{==}b
p8121
sg15
L2L
sass(g1693
g8077
g8107
L2L
tp8122
(dp8123
g6
V1==1.
p8124
sg8
(lp8125
(dp8126
g11
(lp8127
sg13
V\u005ctext{True}
p8128
sg15
L3L
sass(g1693
g8077
g8107
L3L
tp8129
(dp8130
g6
VEqual["11", "11"]
p8131
sg8
(lp8132
(dp8133
g11
(lp8134
sg13
V\u005ctext{True}
p8135
sg15
L4L
sass(g1693
g8077
g8107
L4L
tp8136
(dp8137
g6
VEqual["121", "11"]
p8138
sg8
(lp8139
(dp8140
g11
(lp8141
sg13
V\u005ctext{False}
p8142
sg15
L5L
sass(g1693
g8077
g8107
L5L
tp8143
(dp8144
g6
VEqual[11, "11"]
p8145
sg8
(lp8146
(dp8147
g11
(lp8148
sg13
V\u005ctext{False}
p8149
sg15
L6L
sass(g1693
g8077
g8107
L6L
tp8150
(dp8151
g6
V{{1}, {2}} == {{1}, {2}}
p8152
sg8
(lp8153
(dp8154
g11
(lp8155
sg13
V\u005ctext{True}
p8156
sg15
L7L
sass(g1693
g8077
g8107
L7L
tp8157
(dp8158
g6
V{1, 2} == {1, 2, 3}
p8159
sg8
(lp8160
(dp8161
g11
(lp8162
sg13
V\u005ctext{False}
p8163
sg15
L8L
sass(g1693
g8077
g8107
L8L
tp8164
(dp8165
g6
V0.739085133215160642 == 0.739085133215160641
p8166
sg8
(lp8167
(dp8168
g11
(lp8169
sg13
V\u005ctext{True}
p8170
sg15
L9L
sass(g1693
g8077
g8107
L9L
tp8171
(dp8172
g6
V0.73908513321516064200000000 == 0.73908513321516064100000000
p8173
sg8
(lp8174
(dp8175
g11
(lp8176
sg13
V\u005ctext{False}
p8177
sg15
L10L
sass(g1693
g8077
g8107
L13L
tp8178
(dp8179
g6
VN[E, 100] == N[E, 150]
p8180
sg8
(lp8181
(dp8182
g11
(lp8183
sg13
V\u005ctext{True}
p8184
sg15
L11L
sass(g1693
g8077
g8107
L14L
tp8185
(dp8186
g6
VE > 1
p8187
sg8
(lp8188
(dp8189
g11
(lp8190
sg13
V\u005ctext{True}
p8191
sg15
L12L
sass(g1693
g8077
g8107
L15L
tp8192
(dp8193
g6
VPi == 3.14
p8194
sg8
(lp8195
(dp8196
g11
(lp8197
sg13
V\u005ctext{False}
p8198
sg15
L13L
sass(g1693
g8077
VGreater
p8199
L0L
tp8200
(dp8201
g6
Va > b > c //FullForm
p8202
sg8
(lp8203
(dp8204
g11
(lp8205
sg13
V\u005ctext{Greater}\u005cleft[a, b, c\u005cright]
p8206
sg15
L1L
sass(g1693
g8077
g8199
L1L
tp8207
(dp8208
g6
VGreater[3, 2, 1]
p8209
sg8
(lp8210
(dp8211
g11
(lp8212
sg13
V\u005ctext{True}
p8213
sg15
L2L
sass(g1693
g8077
VInequality
p8214
L0L
tp8215
(dp8216
g6
Va < b <= c
p8217
sg8
(lp8218
(dp8219
g11
(lp8220
sg13
Va<b\u005ctext{\u005c&\u005c&}b\u005ctext{<=}c
p8221
sg15
L1L
sass(g1693
g8077
g8214
L1L
tp8222
(dp8223
g6
VInequality[a, Greater, b, LessEqual, c]
p8224
sg8
(lp8225
(dp8226
g11
(lp8227
sg13
Va>b\u005ctext{\u005c&\u005c&}b\u005ctext{<=}c
p8228
sg15
L2L
sass(g1693
g8077
g8214
L2L
tp8229
(dp8230
g6
V1 < 2 <= 3
p8231
sg8
(lp8232
(dp8233
g11
(lp8234
sg13
V\u005ctext{True}
p8235
sg15
L3L
sass(g1693
g8077
g8214
L3L
tp8236
(dp8237
g6
V1 < 2 > 0
p8238
sg8
(lp8239
(dp8240
g11
(lp8241
sg13
V\u005ctext{True}
p8242
sg15
L4L
sass(g1693
g8077
g8214
L4L
tp8243
(dp8244
g6
V1 < 2 < -1
p8245
sg8
(lp8246
(dp8247
g11
(lp8248
sg13
V\u005ctext{False}
p8249
sg15
L5L
sass(g1693
g8077
VMax
p8250
L0L
tp8251
(dp8252
g6
VMax[4, -8, 1]
p8253
sg8
(lp8254
(dp8255
g11
(lp8256
sg13
V4
p8257
sg15
L1L
sass(g1693
g8077
g8250
L1L
tp8258
(dp8259
g6
VMax[E - Pi, Pi, E + Pi, 2 E]
p8260
sg8
(lp8261
(dp8262
g11
(lp8263
sg13
VE+\u005ctext{Pi}
p8264
sg15
L2L
sass(g1693
g8077
g8250
L2L
tp8265
(dp8266
g6
VMax[{1,2},3,{-3,3.5,-Infinity},{{1/2}}]
p8267
sg8
(lp8268
(dp8269
g11
(lp8270
sg13
V3.5
p8271
sg15
L3L
sass(g1693
g8077
g8250
L3L
tp8272
(dp8273
g6
VMax[x, y]
p8274
sg8
(lp8275
(dp8276
g11
(lp8277
sg13
V\u005ctext{Max}\u005cleft[x,y\u005cright]
p8278
sg15
L4L
sass(g1693
g8077
g8250
L4L
tp8279
(dp8280
g6
VMax[5, x, -3, y, 40]
p8281
sg8
(lp8282
(dp8283
g11
(lp8284
sg13
V\u005ctext{Max}\u005cleft[40,x,y\u005cright]
p8285
sg15
L5L
sass(g1693
g8077
g8250
L5L
tp8286
(dp8287
g6
VMax[]
p8288
sg8
(lp8289
(dp8290
g11
(lp8291
sg13
V-\u005cinfty 
p8292
sg15
L6L
sass(g1693
g8077
VMin
p8293
L0L
tp8294
(dp8295
g6
VMin[4, -8, 1]
p8296
sg8
(lp8297
(dp8298
g11
(lp8299
sg13
V-8
p8300
sg15
L1L
sass(g1693
g8077
g8293
L1L
tp8301
(dp8302
g6
VMin[E - Pi, Pi, E + Pi, 2 E]
p8303
sg8
(lp8304
(dp8305
g11
(lp8306
sg13
VE-\u005ctext{Pi}
p8307
sg15
L2L
sass(g1693
g8077
g8293
L2L
tp8308
(dp8309
g6
VMin[{1,2},3,{-3,3.5,-Infinity},{{1/2}}]
p8310
sg8
(lp8311
(dp8312
g11
(lp8313
sg13
V-\u005cinfty 
p8314
sg15
L3L
sass(g1693
g8077
g8293
L3L
tp8315
(dp8316
g6
VMin[x, y]
p8317
sg8
(lp8318
(dp8319
g11
(lp8320
sg13
V\u005ctext{Min}\u005cleft[x,y\u005cright]
p8321
sg15
L4L
sass(g1693
g8077
g8293
L4L
tp8322
(dp8323
g6
VMin[5, x, -3, y, 40]
p8324
sg8
(lp8325
(dp8326
g11
(lp8327
sg13
V\u005ctext{Min}\u005cleft[-3,x,y\u005cright]
p8328
sg15
L5L
sass(g1693
g8077
g8293
L5L
tp8329
(dp8330
g6
VMin[]
p8331
sg8
(lp8332
(dp8333
g11
(lp8334
sg13
g165
sg15
L6L
sass(g1693
g8077
VNegative
p8335
L0L
tp8336
(dp8337
g6
VNegative[0]
p8338
sg8
(lp8339
(dp8340
g11
(lp8341
sg13
V\u005ctext{False}
p8342
sg15
L1L
sass(g1693
g8077
g8335
L1L
tp8343
(dp8344
g6
VNegative[-3]
p8345
sg8
(lp8346
(dp8347
g11
(lp8348
sg13
V\u005ctext{True}
p8349
sg15
L2L
sass(g1693
g8077
g8335
L2L
tp8350
(dp8351
g6
VNegative[10/7]
p8352
sg8
(lp8353
(dp8354
g11
(lp8355
sg13
V\u005ctext{False}
p8356
sg15
L3L
sass(g1693
g8077
g8335
L3L
tp8357
(dp8358
g6
VNegative[1+2I]
p8359
sg8
(lp8360
(dp8361
g11
(lp8362
sg13
V\u005ctext{False}
p8363
sg15
L4L
sass(g1693
g8077
g8335
L4L
tp8364
(dp8365
g6
VNegative[a + b]
p8366
sg8
(lp8367
(dp8368
g11
(lp8369
sg13
V\u005ctext{Negative}\u005cleft[a+b\u005cright]
p8370
sg15
L5L
sass(g1693
g8077
VNonNegative
p8371
L0L
tp8372
(dp8373
g6
V{Positive[0], NonNegative[0]}
p8374
sg8
(lp8375
(dp8376
g11
(lp8377
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p8378
sg15
L1L
sass(g1693
g8077
VNonPositive
p8379
L0L
tp8380
(dp8381
g6
V{Negative[0], NonPositive[0]}
p8382
sg8
(lp8383
(dp8384
g11
(lp8385
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p8386
sg15
L1L
sass(g1693
g8077
VPositive
p8387
L0L
tp8388
(dp8389
g6
VPositive[1]
p8390
sg8
(lp8391
(dp8392
g11
(lp8393
sg13
V\u005ctext{True}
p8394
sg15
L1L
sass(g1693
g8077
g8387
L1L
tp8395
(dp8396
g6
VPositive[0]
p8397
sg8
(lp8398
(dp8399
g11
(lp8400
sg13
V\u005ctext{False}
p8401
sg15
L2L
sass(g1693
g8077
g8387
L2L
tp8402
(dp8403
g6
VPositive[1 + 2 I]
p8404
sg8
(lp8405
(dp8406
g11
(lp8407
sg13
V\u005ctext{False}
p8408
sg15
L3L
sass(g1693
g8077
VSameQ
p8409
L0L
tp8410
(dp8411
g6
Va===a
p8412
sg8
(lp8413
(dp8414
g11
(lp8415
sg13
V\u005ctext{True}
p8416
sg15
L1L
sass(g1693
g8077
g8409
L1L
tp8417
(dp8418
g6
V{1==1., 1===1.}
p8419
sg8
(lp8420
(dp8421
g11
(lp8422
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False}\u005cright\u005c}
p8423
sg15
L2L
sass(g1693
g8077
VTrueQ
p8424
L0L
tp8425
(dp8426
g6
VTrueQ[True]
p8427
sg8
(lp8428
(dp8429
g11
(lp8430
sg13
V\u005ctext{True}
p8431
sg15
L1L
sass(g1693
g8077
g8424
L1L
tp8432
(dp8433
g6
VTrueQ[False]
p8434
sg8
(lp8435
(dp8436
g11
(lp8437
sg13
V\u005ctext{False}
p8438
sg15
L2L
sass(g1693
g8077
g8424
L2L
tp8439
(dp8440
g6
VTrueQ[a]
p8441
sg8
(lp8442
(dp8443
g11
(lp8444
sg13
V\u005ctext{False}
p8445
sg15
L3L
sass(g1693
g8077
VUnequal
p8446
L0L
tp8447
(dp8448
g6
V1 != 1.
p8449
sg8
(lp8450
(dp8451
g11
(lp8452
sg13
V\u005ctext{False}
p8453
sg15
L1L
sass(g1693
g8077
g8446
L1L
tp8454
(dp8455
g6
V{1} != {2}
p8456
sg8
(lp8457
(dp8458
g11
(lp8459
sg13
V\u005ctext{True}
p8460
sg15
L2L
sass(g1693
g8077
g8446
L2L
tp8461
(dp8462
g6
V{1, 2} != {1, 2}
p8463
sg8
(lp8464
(dp8465
g11
(lp8466
sg13
V\u005ctext{False}
p8467
sg15
L3L
sass(g1693
g8077
g8446
L3L
tp8468
(dp8469
g6
V{a} != {a}
p8470
sg8
(lp8471
(dp8472
g11
(lp8473
sg13
V\u005ctext{False}
p8474
sg15
L4L
sass(g1693
g8077
g8446
L4L
tp8475
(dp8476
g6
V"a" != "b"
p8477
sg8
(lp8478
(dp8479
g11
(lp8480
sg13
V\u005ctext{True}
p8481
sg15
L5L
sass(g1693
g8077
g8446
L5L
tp8482
(dp8483
g6
V"a" != "a"
p8484
sg8
(lp8485
(dp8486
g11
(lp8487
sg13
V\u005ctext{False}
p8488
sg15
L6L
sass(g1693
g8077
VUnsameQ
p8489
L0L
tp8490
(dp8491
g6
Va=!=a
p8492
sg8
(lp8493
(dp8494
g11
(lp8495
sg13
V\u005ctext{False}
p8496
sg15
L1L
sass(g1693
g8077
g8489
L1L
tp8497
(dp8498
g6
V1=!=1.
p8499
sg8
(lp8500
(dp8501
g11
(lp8502
sg13
V\u005ctext{True}
p8503
sg15
L2L
sass(g1693
g8077
VValueQ
p8504
L0L
tp8505
(dp8506
g6
VValueQ[x]
p8507
sg8
(lp8508
(dp8509
g11
(lp8510
sg13
V\u005ctext{False}
p8511
sg15
L1L
sass(g1693
g8077
g8504
L1L
tp8512
(dp8513
g6
Vx = 1;
p8514
sg8
(lp8515
(dp8516
g11
(lp8517
sg13
Nsg15
L2L
sass(g1693
g8077
g8504
L2L
tp8518
(dp8519
g6
VValueQ[x]
p8520
sg8
(lp8521
(dp8522
g11
(lp8523
sg13
V\u005ctext{True}
p8524
sg15
L3L
sass(g1693
VLinear algebra
p8525
VBrayCurtisDistance
p8526
L0L
tp8527
(dp8528
g6
VBrayCurtisDistance[-7, 5]
p8529
sg8
(lp8530
(dp8531
g11
(lp8532
sg13
V6
p8533
sg15
L1L
sass(g1693
g8525
g8526
L1L
tp8534
(dp8535
g6
VBrayCurtisDistance[{-1, -1}, {10, 10}]
p8536
sg8
(lp8537
(dp8538
g11
(lp8539
sg13
V\u005cfrac{11}{9}
p8540
sg15
L2L
sass(g1693
g8525
VCanberraDistance
p8541
L0L
tp8542
(dp8543
g6
VCanberraDistance[-7, 5]
p8544
sg8
(lp8545
(dp8546
g11
(lp8547
sg13
V1
p8548
sg15
L1L
sass(g1693
g8525
g8541
L1L
tp8549
(dp8550
g6
VCanberraDistance[{-1, -1}, {1, 1}]
p8551
sg8
(lp8552
(dp8553
g11
(lp8554
sg13
V2
p8555
sg15
L2L
sass(g1693
g8525
VChessboardDistance
p8556
L0L
tp8557
(dp8558
g6
VChessboardDistance[-7, 5]
p8559
sg8
(lp8560
(dp8561
g11
(lp8562
sg13
V12
p8563
sg15
L1L
sass(g1693
g8525
g8556
L1L
tp8564
(dp8565
g6
VChessboardDistance[{-1, -1}, {1, 1}]
p8566
sg8
(lp8567
(dp8568
g11
(lp8569
sg13
V2
p8570
sg15
L2L
sass(g1693
g8525
VCosineDistance
p8571
L0L
tp8572
(dp8573
g6
VN[CosineDistance[{7, 9}, {71, 89}]]
p8574
sg8
(lp8575
(dp8576
g11
(lp8577
sg13
V0.0000759646
p8578
sg15
L1L
sass(g1693
g8525
g8571
L1L
tp8579
(dp8580
g6
VCosineDistance[{a, b}, {c, d}]
p8581
sg8
(lp8582
(dp8583
g11
(lp8584
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}}
p8585
sg15
L2L
sass(g1693
g8525
VCross
p8586
L0L
tp8587
(dp8588
g6
VCross[{x1, y1, z1}, {x2, y2, z2}]
p8589
sg8
(lp8590
(dp8591
g11
(lp8592
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}
p8593
sg15
L1L
sass(g1693
g8525
g8586
L1L
tp8594
(dp8595
g6
VCross[{x, y}]
p8596
sg8
(lp8597
(dp8598
g11
(lp8599
sg13
V\u005cleft\u005c{-y,x\u005cright\u005c}
p8600
sg15
L2L
sass(g1693
g8525
g8586
L2L
tp8601
(dp8602
g6
VCross[{1, 2}, {3, 4, 5}]
p8603
sg8
(lp8604
(dp8605
g11
(lp8606
(dp8607
g149
I01
sg150
VCross
p8608
sg152
Vnonn1
p8609
sg154
VCross::nonn1
p8610
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.
p8611
sasg13
V\u005ctext{Cross}\u005cleft[\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{3,4,5\u005cright\u005c}\u005cright]
p8612
sg15
L3L
sass(g1693
g8525
VDesignMatrix
p8613
L0L
tp8614
(dp8615
g6
VDesignMatrix[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, x, x]
p8616
sg8
(lp8617
(dp8618
g11
(lp8619
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}
p8620
sg15
L1L
sass(g1693
g8525
g8613
L1L
tp8621
(dp8622
g6
VDesignMatrix[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, f[x], x]
p8623
sg8
(lp8624
(dp8625
g11
(lp8626
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}
p8627
sg15
L2L
sass(g1693
g8525
VDet
p8628
L0L
tp8629
(dp8630
g6
VDet[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8631
sg8
(lp8632
(dp8633
g11
(lp8634
sg13
V-2
p8635
sg15
L1L
sass(g1693
g8525
g8628
L1L
tp8636
(dp8637
g6
VDet[{{a, b, c}, {d, e, f}, {g, h, i}}]
p8638
sg8
(lp8639
(dp8640
g11
(lp8641
sg13
Va e i-a f h-b d i+b f g+c d h-c e g
p8642
sg15
L2L
sass(g1693
g8525
VEigensystem
p8643
L0L
tp8644
(dp8645
g6
VEigensystem[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8646
sg8
(lp8647
(dp8648
g11
(lp8649
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}
p8650
sg15
L1L
sass(g1693
g8525
VEigenvalues
p8651
L0L
tp8652
(dp8653
g6
VEigenvalues[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8654
sg8
(lp8655
(dp8656
g11
(lp8657
sg13
V\u005cleft\u005c{2,-1,1\u005cright\u005c}
p8658
sg15
L1L
sass(g1693
g8525
g8651
L1L
tp8659
(dp8660
g6
VEigenvalues[{{Cos[theta],Sin[theta],0},{-Sin[theta],Cos[theta],0},{0,0,1}}] // Sort
p8661
sg8
(lp8662
(dp8663
g11
(lp8664
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}
p8665
sg15
L2L
sass(g1693
g8525
g8651
L2L
tp8666
(dp8667
g6
VEigenvalues[{{7, 1}, {-4, 3}}]
p8668
sg8
(lp8669
(dp8670
g11
(lp8671
sg13
V\u005cleft\u005c{5,5\u005cright\u005c}
p8672
sg15
L3L
sass(g1693
g8525
g8651
L3L
tp8673
(dp8674
g6
VEigenvalues[{{7, 1}, {-4, 3}}]
p8675
sg8
(lp8676
(dp8677
g11
(lp8678
sg13
V\u005cleft\u005c{5,5\u005cright\u005c}
p8679
sg15
L4L
sass(g1693
g8525
VEigenvectors
p8680
L0L
tp8681
(dp8682
g6
VEigenvectors[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8683
sg8
(lp8684
(dp8685
g11
(lp8686
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}
p8687
sg15
L1L
sass(g1693
g8525
g8680
L1L
tp8688
(dp8689
g6
VEigenvectors[{{1, 0, 0}, {0, 1, 0}, {0, 0, 0}}]
p8690
sg8
(lp8691
(dp8692
g11
(lp8693
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}
p8694
sg15
L2L
sass(g1693
g8525
g8680
L2L
tp8695
(dp8696
g6
VEigenvectors[{{2, 0, 0}, {0, -1, 0}, {0, 0, 0}}]
p8697
sg8
(lp8698
(dp8699
g11
(lp8700
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}
p8701
sg15
L3L
sass(g1693
g8525
g8680
L3L
tp8702
(dp8703
g6
VEigenvectors[{{0.1, 0.2}, {0.8, 0.5}}]
p8704
sg8
(lp8705
(dp8706
g11
(lp8707
sg13
V\u005cleft\u005c{\u005cleft\u005c{-0.35551821648126701667629755950170592989606280589715350020912090983973841140652893955120816826820373535156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,-1.1504811157728661188342365499725064786116887895897145343947079801361077500132523709908127784729003906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\u005cright\u005c},\u005cleft\u005c{-0.62896016964509404573174568430210422490192931465354385090170814777074670409717782604275271296501159667968750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,0.77743752482113604144795838608717483114782293468270888521495434872118912572602766886120662093162536621093750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\u005cright\u005c}\u005cright\u005c}
p8708
sg15
L4L
sass(g1693
g8525
VEuclideanDistance
p8709
L0L
tp8710
(dp8711
g6
VEuclideanDistance[-7, 5]
p8712
sg8
(lp8713
(dp8714
g11
(lp8715
sg13
V12
p8716
sg15
L1L
sass(g1693
g8525
g8709
L1L
tp8717
(dp8718
g6
VEuclideanDistance[{-1, -1}, {1, 1}]
p8719
sg8
(lp8720
(dp8721
g11
(lp8722
sg13
V2 \u005csqrt{2}
p8723
sg15
L2L
sass(g1693
g8525
g8709
L2L
tp8724
(dp8725
g6
VEuclideanDistance[{a, b}, {c, d}]
p8726
sg8
(lp8727
(dp8728
g11
(lp8729
sg13
V\u005csqrt{\u005ctext{Abs}\u005cleft[a-c\u005cright]^2+\u005ctext{Abs}\u005cleft[b-d\u005cright]^2}
p8730
sg15
L3L
sass(g1693
g8525
VInverse
p8731
L0L
tp8732
(dp8733
g6
VInverse[{{1, 2, 0}, {2, 3, 0}, {3, 4, 1}}]
p8734
sg8
(lp8735
(dp8736
g11
(lp8737
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}
p8738
sg15
L1L
sass(g1693
g8525
g8731
L1L
tp8739
(dp8740
g6
VInverse[{{1, 0}, {0, 0}}]
p8741
sg8
(lp8742
(dp8743
g11
(lp8744
(dp8745
g149
I01
sg150
VInverse
p8746
sg152
Vsing
p8747
sg154
VInverse::sing
p8748
sg156
VThe matrix {{1, 0}, {0, 0}} is singular.
p8749
sasg13
V\u005ctext{Inverse}\u005cleft[\u005cleft\u005c{\u005cleft\u005c{1,0\u005cright\u005c},\u005cleft\u005c{0,0\u005cright\u005c}\u005cright\u005c}\u005cright]
p8750
sg15
L2L
sass(g1693
g8525
g8731
L2L
tp8751
(dp8752
g6
VInverse[{{1, 0, 0}, {0, Sqrt[3]/2, 1/2}, {0,-1 / 2, Sqrt[3]/2}}]
p8753
sg8
(lp8754
(dp8755
g11
(lp8756
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}
p8757
sg15
L3L
sass(g1693
g8525
VLeastSquares
p8758
L0L
tp8759
(dp8760
g6
VLeastSquares[{{1, 2}, {2, 3}, {5, 6}}, {1, 5, 3}]
p8761
sg8
(lp8762
(dp8763
g11
(lp8764
sg13
V\u005cleft\u005c{-\u005cfrac{28}{13},\u005cfrac{31}{13}\u005cright\u005c}
p8765
sg15
L1L
sass(g1693
g8525
g8758
L1L
tp8766
(dp8767
g6
VSimplify[LeastSquares[{{1, 2}, {2, 3}, {5, 6}}, {1, x, 3}]]
p8768
sg8
(lp8769
(dp8770
g11
(lp8771
sg13
V\u005cleft\u005c{\u005cfrac{12}{13}-\u005cfrac{8 x}{13},-\u005cfrac{4}{13}+\u005cfrac{7 x}{13}\u005cright\u005c}
p8772
sg15
L2L
sass(g1693
g8525
g8758
L2L
tp8773
(dp8774
g6
VLeastSquares[{{1, 1, 1}, {1, 1, 2}}, {1, 3}]
p8775
sg8
(lp8776
(dp8777
g11
(lp8778
(dp8779
g149
I01
sg150
VLeastSquares
p8780
sg152
Vunderdetermined
p8781
sg154
VLeastSquares::underdetermined
p8782
sg156
VSolving for underdetermined system not implemented.
p8783
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]
p8784
sg15
L3L
sass(g1693
g8525
VLinearModelFit
p8785
L0L
tp8786
(dp8787
g6
Vm = LinearModelFit[{{2, 1}, {3, 4}, {5, 3}, {7, 6}}, x, x];
p8788
sg8
(lp8789
(dp8790
g11
(lp8791
sg13
Nsg15
L1L
sass(g1693
g8525
g8785
L1L
tp8792
(dp8793
g6
Vm["BasisFunctions"]
p8794
sg8
(lp8795
(dp8796
g11
(lp8797
sg13
V\u005cleft\u005c{1,x\u005cright\u005c}
p8798
sg15
L2L
sass(g1693
g8525
g8785
L2L
tp8799
(dp8800
g6
Vm["BestFit"]
p8801
sg8
(lp8802
(dp8803
g11
(lp8804
sg13
V0.186441+0.779661 x
p8805
sg15
L3L
sass(g1693
g8525
g8785
L3L
tp8806
(dp8807
g6
Vm["BestFitParameters"]
p8808
sg8
(lp8809
(dp8810
g11
(lp8811
sg13
V\u005cleft\u005c{0.186441,0.779661\u005cright\u005c}
p8812
sg15
L4L
sass(g1693
g8525
g8785
L4L
tp8813
(dp8814
g6
Vm["DesignMatrix"]
p8815
sg8
(lp8816
(dp8817
g11
(lp8818
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}
p8819
sg15
L5L
sass(g1693
g8525
g8785
L5L
tp8820
(dp8821
g6
Vm["Function"]
p8822
sg8
(lp8823
(dp8824
g11
(lp8825
sg13
V0.186441+0.779661 \u005ctext{\u005c#1}\u005c&
p8826
sg15
L6L
sass(g1693
g8525
g8785
L6L
tp8827
(dp8828
g6
Vm["Response"]
p8829
sg8
(lp8830
(dp8831
g11
(lp8832
sg13
V\u005cleft\u005c{1,4,3,6\u005cright\u005c}
p8833
sg15
L7L
sass(g1693
g8525
g8785
L7L
tp8834
(dp8835
g6
Vm["FitResiduals"]
p8836
sg8
(lp8837
(dp8838
g11
(lp8839
sg13
V\u005cleft\u005c{-0.745763,1.47458,-1.08475,0.355932\u005cright\u005c}
p8840
sg15
L8L
sass(g1693
g8525
g8785
L8L
tp8841
(dp8842
g6
Vm = LinearModelFit[{{2, 2, 1}, {3, 2, 4}, {5, 6, 3}, {7, 9, 6}}, {Sin[x], Cos[y]}, {x, y}];
p8843
sg8
(lp8844
(dp8845
g11
(lp8846
sg13
Nsg15
L9L
sass(g1693
g8525
g8785
L9L
tp8847
(dp8848
g6
Vm["BasisFunctions"]
p8849
sg8
(lp8850
(dp8851
g11
(lp8852
sg13
V\u005cleft\u005c{1,\u005ctext{Sin}\u005cleft[x\u005cright],\u005ctext{Cos}\u005cleft[y\u005cright]\u005cright\u005c}
p8853
sg15
L10L
sass(g1693
g8525
g8785
L10L
tp8854
(dp8855
g6
Vm["Function"]
p8856
sg8
(lp8857
(dp8858
g11
(lp8859
sg13
V3.33077-5.65221 \u005ctext{Cos}\u005cleft[\u005ctext{\u005c#2}\u005cright]-5.01042 \u005ctext{Sin}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p8860
sg15
L11L
sass(g1693
g8525
g8785
L11L
tp8861
(dp8862
g6
Vm = LinearModelFit[{{{1, 4}, {1, 5}, {1, 7}}, {1, 2, 3}}];
p8863
sg8
(lp8864
(dp8865
g11
(lp8866
sg13
Nsg15
L12L
sass(g1693
g8525
g8785
L12L
tp8867
(dp8868
g6
Vm["BasisFunctions"]
p8869
sg8
(lp8870
(dp8871
g11
(lp8872
sg13
V\u005cleft\u005c{\u005ctext{\u005c#1},\u005ctext{\u005c#2}\u005cright\u005c}
p8873
sg15
L13L
sass(g1693
g8525
g8785
L13L
tp8874
(dp8875
g6
Vm["FitResiduals"]
p8876
sg8
(lp8877
(dp8878
g11
(lp8879
sg13
V\u005cleft\u005c{-0.142857,0.214286,-0.0714286\u005cright\u005c}
p8880
sg15
L14L
sass(g1693
g8525
VLinearSolve
p8881
L0L
tp8882
(dp8883
g6
VLinearSolve[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}, {1, 2, 3}]
p8884
sg8
(lp8885
(dp8886
g11
(lp8887
sg13
V\u005cleft\u005c{0,1,2\u005cright\u005c}
p8888
sg15
L1L
sass(g1693
g8525
g8881
L1L
tp8889
(dp8890
g6
V{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}} . {0, 1, 2}
p8891
sg8
(lp8892
(dp8893
g11
(lp8894
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p8895
sg15
L2L
sass(g1693
g8525
g8881
L2L
tp8896
(dp8897
g6
VLinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, 1, 1}]
p8898
sg8
(lp8899
(dp8900
g11
(lp8901
sg13
V\u005cleft\u005c{-1,1,0\u005cright\u005c}
p8902
sg15
L3L
sass(g1693
g8525
g8881
L3L
tp8903
(dp8904
g6
VLinearSolve[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}, {1, -2, 3}]
p8905
sg8
(lp8906
(dp8907
g11
(lp8908
(dp8909
g149
I01
sg150
VLinearSolve
p8910
sg152
Vnosol
p8911
sg154
VLinearSolve::nosol
p8912
sg156
VLinear equation encountered that has no solution.
p8913
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]
p8914
sg15
L4L
sass(g1693
g8525
VManhattanDistance
p8915
L0L
tp8916
(dp8917
g6
VManhattanDistance[-7, 5]
p8918
sg8
(lp8919
(dp8920
g11
(lp8921
sg13
V12
p8922
sg15
L1L
sass(g1693
g8525
g8915
L1L
tp8923
(dp8924
g6
VManhattanDistance[{-1, -1}, {1, 1}]
p8925
sg8
(lp8926
(dp8927
g11
(lp8928
sg13
V4
p8929
sg15
L2L
sass(g1693
g8525
VMatrixExp
p8930
L0L
tp8931
(dp8932
g6
VMatrixExp[{{0, 2}, {0, 1}}]
p8933
sg8
(lp8934
(dp8935
g11
(lp8936
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2+2 E\u005cright\u005c},\u005cleft\u005c{0,E\u005cright\u005c}\u005cright\u005c}
p8937
sg15
L1L
sass(g1693
g8525
g8930
L1L
tp8938
(dp8939
g6
VMatrixExp[{{1.5, 0.5}, {0.5, 2.0}}]
p8940
sg8
(lp8941
(dp8942
g11
(lp8943
sg13
V\u005cleft\u005c{\u005cleft\u005c{5.16266,3.02952\u005cright\u005c},\u005cleft\u005c{3.02952,8.19218\u005cright\u005c}\u005cright\u005c}
p8944
sg15
L2L
sass(g1693
g8525
VMatrixPower
p8945
L0L
tp8946
(dp8947
g6
VMatrixPower[{{1, 2}, {1, 1}}, 10]
p8948
sg8
(lp8949
(dp8950
g11
(lp8951
sg13
V\u005cleft\u005c{\u005cleft\u005c{3363,4756\u005cright\u005c},\u005cleft\u005c{2378,3363\u005cright\u005c}\u005cright\u005c}
p8952
sg15
L1L
sass(g1693
g8525
g8945
L1L
tp8953
(dp8954
g6
VMatrixPower[{{1, 2}, {2, 5}}, -3]
p8955
sg8
(lp8956
(dp8957
g11
(lp8958
sg13
V\u005cleft\u005c{\u005cleft\u005c{169,-70\u005cright\u005c},\u005cleft\u005c{-70,29\u005cright\u005c}\u005cright\u005c}
p8959
sg15
L2L
sass(g1693
g8525
VMatrixRank
p8960
L0L
tp8961
(dp8962
g6
VMatrixRank[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p8963
sg8
(lp8964
(dp8965
g11
(lp8966
sg13
V2
p8967
sg15
L1L
sass(g1693
g8525
g8960
L1L
tp8968
(dp8969
g6
VMatrixRank[{{1, 1, 0}, {1, 0, 1}, {0, 1, 1}}]
p8970
sg8
(lp8971
(dp8972
g11
(lp8973
sg13
V3
p8974
sg15
L2L
sass(g1693
g8525
g8960
L2L
tp8975
(dp8976
g6
VMatrixRank[{{a, b}, {3 a, 3 b}}]
p8977
sg8
(lp8978
(dp8979
g11
(lp8980
sg13
V1
p8981
sg15
L3L
sass(g1693
g8525
VNorm
p8982
L0L
tp8983
(dp8984
g6
VNorm[{1, 2, 3, 4}, 2]
p8985
sg8
(lp8986
(dp8987
g11
(lp8988
sg13
V\u005csqrt{30}
p8989
sg15
L1L
sass(g1693
g8525
g8982
L1L
tp8990
(dp8991
g6
VNorm[{10, 100, 200}, 1]
p8992
sg8
(lp8993
(dp8994
g11
(lp8995
sg13
V310
p8996
sg15
L2L
sass(g1693
g8525
g8982
L2L
tp8997
(dp8998
g6
VNorm[{a, b, c}]
p8999
sg8
(lp9000
(dp9001
g11
(lp9002
sg13
V\u005csqrt{\u005ctext{Abs}\u005cleft[a\u005cright]^2+\u005ctext{Abs}\u005cleft[b\u005cright]^2+\u005ctext{Abs}\u005cleft[c\u005cright]^2}
p9003
sg15
L3L
sass(g1693
g8525
g8982
L3L
tp9004
(dp9005
g6
VNorm[{-100, 2, 3, 4}, Infinity]
p9006
sg8
(lp9007
(dp9008
g11
(lp9009
sg13
V100
p9010
sg15
L4L
sass(g1693
g8525
g8982
L4L
tp9011
(dp9012
g6
VNorm[1 + I]
p9013
sg8
(lp9014
(dp9015
g11
(lp9016
sg13
V\u005csqrt{2}
p9017
sg15
L5L
sass(g1693
g8525
VNormalize
p9018
L0L
tp9019
(dp9020
g6
VNormalize[{1, 1, 1, 1}]
p9021
sg8
(lp9022
(dp9023
g11
(lp9024
sg13
V\u005cleft\u005c{\u005cfrac{1}{2},\u005cfrac{1}{2},\u005cfrac{1}{2},\u005cfrac{1}{2}\u005cright\u005c}
p9025
sg15
L1L
sass(g1693
g8525
g9018
L1L
tp9026
(dp9027
g6
VNormalize[1 + I]
p9028
sg8
(lp9029
(dp9030
g11
(lp9031
sg13
V\u005cleft(\u005cfrac{1}{2}+\u005cfrac{I}{2}\u005cright) \u005csqrt{2}
p9032
sg15
L2L
sass(g1693
g8525
VNullSpace
p9033
L0L
tp9034
(dp9035
g6
VNullSpace[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p9036
sg8
(lp9037
(dp9038
g11
(lp9039
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-2,1\u005cright\u005c}\u005cright\u005c}
p9040
sg15
L1L
sass(g1693
g8525
g9033
L1L
tp9041
(dp9042
g6
VA = {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}};
p9043
sg8
(lp9044
(dp9045
g11
(lp9046
sg13
Nsg15
L2L
sass(g1693
g8525
g9033
L2L
tp9047
(dp9048
g6
VNullSpace[A]
p9049
sg8
(lp9050
(dp9051
g11
(lp9052
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9053
sg15
L3L
sass(g1693
g8525
g9033
L3L
tp9054
(dp9055
g6
VMatrixRank[A]
p9056
sg8
(lp9057
(dp9058
g11
(lp9059
sg13
V3
p9060
sg15
L4L
sass(g1693
g8525
VPseudoInverse
p9061
L0L
tp9062
(dp9063
g6
VPseudoInverse[{{1, 2}, {2, 3}, {3, 4}}]
p9064
sg8
(lp9065
(dp9066
g11
(lp9067
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}
p9068
sg15
L1L
sass(g1693
g8525
g9061
L1L
tp9069
(dp9070
g6
VPseudoInverse[{{1, 2, 0}, {2, 3, 0}, {3, 4, 1}}]
p9071
sg8
(lp9072
(dp9073
g11
(lp9074
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}
p9075
sg15
L2L
sass(g1693
g8525
g9061
L2L
tp9076
(dp9077
g6
VPseudoInverse[{{1.0, 2.5}, {2.5, 1.0}}]
p9078
sg8
(lp9079
(dp9080
g11
(lp9081
sg13
V\u005cleft\u005c{\u005cleft\u005c{-0.190476,0.47619\u005cright\u005c},\u005cleft\u005c{0.47619,-0.190476\u005cright\u005c}\u005cright\u005c}
p9082
sg15
L3L
sass(g1693
g8525
VQRDecomposition
p9083
L0L
tp9084
(dp9085
g6
VQRDecomposition[{{1, 2}, {3, 4}, {5, 6}}]
p9086
sg8
(lp9087
(dp9088
g11
(lp9089
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}
p9090
sg15
L1L
sass(g1693
g8525
VRowReduce
p9091
L0L
tp9092
(dp9093
g6
VRowReduce[{{1, 0, a}, {1, 1, b}}]
p9094
sg8
(lp9095
(dp9096
g11
(lp9097
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,0,a\u005cright\u005c},\u005cleft\u005c{0,1,-a+b\u005cright\u005c}\u005cright\u005c}
p9098
sg15
L1L
sass(g1693
g8525
g9091
L1L
tp9099
(dp9100
g6
VRowReduce[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}] // MatrixForm
p9101
sg8
(lp9102
(dp9103
g11
(lp9104
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 0 & -1\u005c\u005c 0 & 1 & 2\u005c\u005c 0 & 0 & 0\u005cend{array}\u005cright)
p9105
sg15
L2L
sass(g1693
g8525
VSingularValueDecomposition
p9106
L0L
tp9107
(dp9108
g6
VSingularValueDecomposition[{{1.5, 2.0}, {2.5, 3.0}}]
p9109
sg8
(lp9110
(dp9111
g11
(lp9112
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}
p9113
sg15
L1L
sass(g1693
g8525
VSquaredEuclideanDistance
p9114
L0L
tp9115
(dp9116
g6
VSquaredEuclideanDistance[-7, 5]
p9117
sg8
(lp9118
(dp9119
g11
(lp9120
sg13
V144
p9121
sg15
L1L
sass(g1693
g8525
g9114
L1L
tp9122
(dp9123
g6
VSquaredEuclideanDistance[{-1, -1}, {1, 1}]
p9124
sg8
(lp9125
(dp9126
g11
(lp9127
sg13
V8
p9128
sg15
L2L
sass(g1693
g8525
VTr
p9129
L0L
tp9130
(dp9131
g6
VTr[{{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}]
p9132
sg8
(lp9133
(dp9134
g11
(lp9135
sg13
V15
p9136
sg15
L1L
sass(g1693
g8525
g9129
L1L
tp9137
(dp9138
g6
VTr[{{a, b, c}, {d, e, f}, {g, h, i}}]
p9139
sg8
(lp9140
(dp9141
g11
(lp9142
sg13
Va+e+i
p9143
sg15
L2L
sass(g1693
g8525
VVectorAngle
p9144
L0L
tp9145
(dp9146
g6
VVectorAngle[{1, 0}, {0, 1}]
p9147
sg8
(lp9148
(dp9149
g11
(lp9150
sg13
V\u005cfrac{\u005ctext{Pi}}{2}
p9151
sg15
L1L
sass(g1693
g8525
g9144
L1L
tp9152
(dp9153
g6
VVectorAngle[{1, 2}, {3, 1}]
p9154
sg8
(lp9155
(dp9156
g11
(lp9157
sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p9158
sg15
L2L
sass(g1693
g8525
g9144
L2L
tp9159
(dp9160
g6
VVectorAngle[{1, 1, 0}, {1, 0, 1}]
p9161
sg8
(lp9162
(dp9163
g11
(lp9164
sg13
V\u005cfrac{\u005ctext{Pi}}{3}
p9165
sg15
L3L
sass(g1693
VAttributes
p9166
VAttributes
p9167
L0L
tp9168
(dp9169
g6
VAttributes[Plus]
p9170
sg8
(lp9171
(dp9172
g11
(lp9173
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Listable},\u005ctext{NumericFunction},\u005ctext{OneIdentity},\u005ctext{Orderless},\u005ctext{Protected}\u005cright\u005c}
p9174
sg15
L1L
sass(g1693
g9166
g9167
L1L
tp9175
(dp9176
g6
VAttributes[a + b + c]
p9177
sg8
(lp9178
(dp9179
g11
(lp9180
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Listable},\u005ctext{NumericFunction},\u005ctext{OneIdentity},\u005ctext{Orderless},\u005ctext{Protected}\u005cright\u005c}
p9181
sg15
L2L
sass(g1693
g9166
g9167
L2L
tp9182
(dp9183
g6
VAttributes[f] = {Flat, Orderless}
p9184
sg8
(lp9185
(dp9186
g11
(lp9187
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p9188
sg15
L3L
sass(g1693
g9166
g9167
L3L
tp9189
(dp9190
g6
Vf[b, f[a, c]]
p9191
sg8
(lp9192
(dp9193
g11
(lp9194
sg13
Vf\u005cleft[a,b,c\u005cright]
p9195
sg15
L4L
sass(g1693
g9166
g9167
L4L
tp9196
(dp9197
g6
VAttributes[f] := {a + b}
p9198
sg8
(lp9199
(dp9200
g11
(lp9201
(dp9202
g149
I01
sg150
VAttributes
p9203
sg152
g7972
sg154
VAttributes::sym
p9204
sg156
VArgument a + b at position 1 is expected to be a symbol.
p9205
sasg13
V\u005ctext{\u005c$Failed}
p9206
sg15
L5L
sass(g1693
g9166
g9167
L5L
tp9207
(dp9208
g6
VAttributes[f] = Symbol["Listable"]
p9209
sg8
(lp9210
(dp9211
g11
(lp9212
sg13
V\u005ctext{Listable}
p9213
sg15
L6L
sass(g1693
g9166
g9167
L6L
tp9214
(dp9215
g6
VAttributes[f]
p9216
sg8
(lp9217
(dp9218
g11
(lp9219
sg13
V\u005cleft\u005c{\u005ctext{Listable}\u005cright\u005c}
p9220
sg15
L7L
sass(g1693
g9166
VClearAttributes
p9221
L0L
tp9222
(dp9223
g6
VSetAttributes[f, Flat]
p9224
sg8
(lp9225
(dp9226
g11
(lp9227
sg13
Nsg15
L1L
sass(g1693
g9166
g9221
L1L
tp9228
(dp9229
g6
VAttributes[f]
p9230
sg8
(lp9231
(dp9232
g11
(lp9233
sg13
V\u005cleft\u005c{\u005ctext{Flat}\u005cright\u005c}
p9234
sg15
L2L
sass(g1693
g9166
g9221
L2L
tp9235
(dp9236
g6
VClearAttributes[f, Flat]
p9237
sg8
(lp9238
(dp9239
g11
(lp9240
sg13
Nsg15
L3L
sass(g1693
g9166
g9221
L3L
tp9241
(dp9242
g6
VAttributes[f]
p9243
sg8
(lp9244
(dp9245
g11
(lp9246
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9247
sg15
L4L
sass(g1693
g9166
g9221
L4L
tp9248
(dp9249
g6
VClearAttributes[{f}, {Flat}]
p9250
sg8
(lp9251
(dp9252
g11
(lp9253
sg13
Nsg15
L5L
sass(g1693
g9166
g9221
L5L
tp9254
(dp9255
g6
VAttributes[f]
p9256
sg8
(lp9257
(dp9258
g11
(lp9259
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9260
sg15
L6L
sass(g1693
g9166
VConstant
p9261
L0L
tp9262
(dp9263
g6
VAttributes[E]
p9264
sg8
(lp9265
(dp9266
g11
(lp9267
sg13
V\u005cleft\u005c{\u005ctext{Constant},\u005ctext{Protected},\u005ctext{ReadProtected}\u005cright\u005c}
p9268
sg15
L1L
sass(g1693
g9166
g9261
L1L
tp9269
(dp9270
g6
VSolve[x + E == 0, E]
p9271
sg8
(lp9272
(dp9273
g11
(lp9274
(dp9275
g149
I01
sg150
VSolve
p9276
sg152
Vivar
p9277
sg154
VSolve::ivar
p9278
sg156
VE is not a valid variable.
p9279
sasg13
V\u005ctext{Solve}\u005cleft[E+x\u005ctext{==}0,E\u005cright]
p9280
sg15
L2L
sass(g1693
g9166
VFlat
p9281
L0L
tp9282
(dp9283
g6
VSetAttributes[f, Flat]
p9284
sg8
(lp9285
(dp9286
g11
(lp9287
sg13
Nsg15
L1L
sass(g1693
g9166
g9281
L1L
tp9288
(dp9289
g6
Vf[a, f[b, c]]
p9290
sg8
(lp9291
(dp9292
g11
(lp9293
sg13
Vf\u005cleft[a,b,c\u005cright]
p9294
sg15
L2L
sass(g1693
g9166
g9281
L2L
tp9295
(dp9296
g6
Vf[a, b, c] /. f[a, b] -> d
p9297
sg8
(lp9298
(dp9299
g11
(lp9300
sg13
Vf\u005cleft[d,c\u005cright]
p9301
sg15
L3L
sass(g1693
g9166
VHoldAll
p9302
L0L
tp9303
(dp9304
g6
VAttributes[Function]
p9305
sg8
(lp9306
(dp9307
g11
(lp9308
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected}\u005cright\u005c}
p9309
sg15
L1L
sass(g1693
g9166
VHoldAllComplete
p9310
L0L
tp9311
(dp9312
g6
VSetAttributes[f, HoldAllComplete]
p9313
sg8
(lp9314
(dp9315
g11
(lp9316
sg13
Nsg15
L1L
sass(g1693
g9166
g9310
L1L
tp9317
(dp9318
g6
Vf[a] ^= 3;
p9319
sg8
(lp9320
(dp9321
g11
(lp9322
sg13
Nsg15
L2L
sass(g1693
g9166
g9310
L2L
tp9323
(dp9324
g6
Vf[a]
p9325
sg8
(lp9326
(dp9327
g11
(lp9328
sg13
Vf\u005cleft[a\u005cright]
p9329
sg15
L3L
sass(g1693
g9166
g9310
L3L
tp9330
(dp9331
g6
Vf[Sequence[a, b]]
p9332
sg8
(lp9333
(dp9334
g11
(lp9335
sg13
Vf\u005cleft[\u005ctext{Sequence}\u005cleft[a,b\u005cright]\u005cright]
p9336
sg15
L4L
sass(g1693
g9166
VHoldFirst
p9337
L0L
tp9338
(dp9339
g6
VAttributes[Set]
p9340
sg8
(lp9341
(dp9342
g11
(lp9343
sg13
V\u005cleft\u005c{\u005ctext{HoldFirst},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p9344
sg15
L1L
sass(g1693
g9166
VHoldRest
p9345
L0L
tp9346
(dp9347
g6
VAttributes[If]
p9348
sg8
(lp9349
(dp9350
g11
(lp9351
sg13
V\u005cleft\u005c{\u005ctext{HoldRest},\u005ctext{Protected}\u005cright\u005c}
p9352
sg15
L1L
sass(g1693
g9166
VListable
p9353
L0L
tp9354
(dp9355
g6
VSetAttributes[f, Listable]
p9356
sg8
(lp9357
(dp9358
g11
(lp9359
sg13
Nsg15
L1L
sass(g1693
g9166
g9353
L1L
tp9360
(dp9361
g6
Vf[{1, 2, 3}, {4, 5, 6}]
p9362
sg8
(lp9363
(dp9364
g11
(lp9365
sg13
V\u005cleft\u005c{f\u005cleft[1,4\u005cright],f\u005cleft[2,5\u005cright],f\u005cleft[3,6\u005cright]\u005cright\u005c}
p9366
sg15
L2L
sass(g1693
g9166
g9353
L2L
tp9367
(dp9368
g6
Vf[{1, 2, 3}, 4]
p9369
sg8
(lp9370
(dp9371
g11
(lp9372
sg13
V\u005cleft\u005c{f\u005cleft[1,4\u005cright],f\u005cleft[2,4\u005cright],f\u005cleft[3,4\u005cright]\u005cright\u005c}
p9373
sg15
L3L
sass(g1693
g9166
g9353
L3L
tp9374
(dp9375
g6
V{{1, 2}, {3, 4}} + {5, 6}
p9376
sg8
(lp9377
(dp9378
g11
(lp9379
sg13
V\u005cleft\u005c{\u005cleft\u005c{6,7\u005cright\u005c},\u005cleft\u005c{9,10\u005cright\u005c}\u005cright\u005c}
p9380
sg15
L4L
sass(g1693
g9166
VLocked
p9381
L0L
tp9382
(dp9383
g6
VAttributes[lock] = {Flat, Locked};
p9384
sg8
(lp9385
(dp9386
g11
(lp9387
sg13
Nsg15
L1L
sass(g1693
g9166
g9381
L1L
tp9388
(dp9389
g6
VSetAttributes[lock, {}]
p9390
sg8
(lp9391
(dp9392
g11
(lp9393
(dp9394
g149
I01
sg150
VSetAttributes
p9395
sg152
Vlocked
p9396
sg154
VSetAttributes::locked
p9397
sg156
VSymbol lock is locked.
p9398
sasg13
Nsg15
L2L
sass(g1693
g9166
g9381
L2L
tp9399
(dp9400
g6
VClearAttributes[lock, Flat]
p9401
sg8
(lp9402
(dp9403
g11
(lp9404
(dp9405
g149
I01
sg150
VClearAttributes
p9406
sg152
g9396
sg154
VClearAttributes::locked
p9407
sg156
VSymbol lock is locked.
p9408
sasg13
Nsg15
L3L
sass(g1693
g9166
g9381
L3L
tp9409
(dp9410
g6
VAttributes[lock] = {}
p9411
sg8
(lp9412
(dp9413
g11
(lp9414
(dp9415
g149
I01
sg150
VAttributes
p9416
sg152
g9396
sg154
VAttributes::locked
p9417
sg156
VSymbol lock is locked.
p9418
sasg13
V\u005cleft\u005c{\u005cright\u005c}
p9419
sg15
L4L
sass(g1693
g9166
g9381
L4L
tp9420
(dp9421
g6
VAttributes[lock]
p9422
sg8
(lp9423
(dp9424
g11
(lp9425
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Locked}\u005cright\u005c}
p9426
sg15
L5L
sass(g1693
g9166
g9381
L5L
tp9427
(dp9428
g6
Vlock = 3
p9429
sg8
(lp9430
(dp9431
g11
(lp9432
sg13
V3
p9433
sg15
L6L
sass(g1693
g9166
VNHoldAll
p9434
L0L
tp9435
(dp9436
g6
VN[f[2, 3]]
p9437
sg8
(lp9438
(dp9439
g11
(lp9440
sg13
Vf\u005cleft[2.,3.\u005cright]
p9441
sg15
L1L
sass(g1693
g9166
g9434
L1L
tp9442
(dp9443
g6
VSetAttributes[f, NHoldAll]
p9444
sg8
(lp9445
(dp9446
g11
(lp9447
sg13
Nsg15
L2L
sass(g1693
g9166
g9434
L2L
tp9448
(dp9449
g6
VN[f[2, 3]]
p9450
sg8
(lp9451
(dp9452
g11
(lp9453
sg13
Vf\u005cleft[2,3\u005cright]
p9454
sg15
L3L
sass(g1693
g9166
VOneIdentity
p9455
L0L
tp9456
(dp9457
g6
VSetAttributes[f, OneIdentity]
p9458
sg8
(lp9459
(dp9460
g11
(lp9461
sg13
Nsg15
L1L
sass(g1693
g9166
g9455
L1L
tp9462
(dp9463
g6
Va /. f[args___] -> {args}
p9464
sg8
(lp9465
(dp9466
g11
(lp9467
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p9468
sg15
L2L
sass(g1693
g9166
g9455
L2L
tp9469
(dp9470
g6
Vf[a]
p9471
sg8
(lp9472
(dp9473
g11
(lp9474
sg13
Vf\u005cleft[a\u005cright]
p9475
sg15
L3L
sass(g1693
g9166
VOrderless
p9476
L0L
tp9477
(dp9478
g6
VSetAttributes[f, Orderless]
p9479
sg8
(lp9480
(dp9481
g11
(lp9482
sg13
Nsg15
L1L
sass(g1693
g9166
g9476
L1L
tp9483
(dp9484
g6
Vf[c, a, b, a + b, 3, 1.0]
p9485
sg8
(lp9486
(dp9487
g11
(lp9488
sg13
Vf\u005cleft[1.,3,a,b,c,a+b\u005cright]
p9489
sg15
L2L
sass(g1693
g9166
g9476
L2L
tp9490
(dp9491
g6
Vf[a, b] == f[b, a]
p9492
sg8
(lp9493
(dp9494
g11
(lp9495
sg13
V\u005ctext{True}
p9496
sg15
L3L
sass(g1693
g9166
g9476
L3L
tp9497
(dp9498
g6
VSetAttributes[f, Flat]
p9499
sg8
(lp9500
(dp9501
g11
(lp9502
sg13
Nsg15
L4L
sass(g1693
g9166
g9476
L4L
tp9503
(dp9504
g6
Vf[a, b, c] /. f[a, c] -> d
p9505
sg8
(lp9506
(dp9507
g11
(lp9508
sg13
Vf\u005cleft[b,d\u005cright]
p9509
sg15
L5L
sass(g1693
g9166
VProtect
p9510
L0L
tp9511
(dp9512
g6
VA = {1, 2, 3};
p9513
sg8
(lp9514
(dp9515
g11
(lp9516
sg13
Nsg15
L1L
sass(g1693
g9166
g9510
L1L
tp9517
(dp9518
g6
VProtect[A]
p9519
sg8
(lp9520
(dp9521
g11
(lp9522
sg13
Nsg15
L2L
sass(g1693
g9166
g9510
L2L
tp9523
(dp9524
g6
VA[[2]] = 4;
p9525
sg8
(lp9526
(dp9527
g11
(lp9528
(dp9529
g149
I01
sg150
VSet
p9530
sg152
Vwrsym
p9531
sg154
VSet::wrsym
p9532
sg156
VSymbol A is Protected.
p9533
sasg13
Nsg15
L3L
sass(g1693
g9166
g9510
L3L
tp9534
(dp9535
g6
VA
p9536
sg8
(lp9537
(dp9538
g11
(lp9539
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p9540
sg15
L4L
sass(g1693
g9166
VProtected
p9541
L0L
tp9542
(dp9543
g6
VAttributes[p] = {Protected};
p9544
sg8
(lp9545
(dp9546
g11
(lp9547
sg13
Nsg15
L1L
sass(g1693
g9166
g9541
L1L
tp9548
(dp9549
g6
Vp = 2;
p9550
sg8
(lp9551
(dp9552
g11
(lp9553
(dp9554
g149
I01
sg150
VSet
p9555
sg152
g9531
sg154
VSet::wrsym
p9556
sg156
VSymbol p is Protected.
p9557
sasg13
Nsg15
L2L
sass(g1693
g9166
g9541
L2L
tp9558
(dp9559
g6
Vf[p] ^= 3;
p9560
sg8
(lp9561
(dp9562
g11
(lp9563
(dp9564
g149
I01
sg150
VUpSet
p9565
sg152
g1662
sg154
VUpSet::write
p9566
sg156
VTag p in f[p] is Protected.
p9567
sasg13
Nsg15
L3L
sass(g1693
g9166
g9541
L3L
tp9568
(dp9569
g6
VFormat[p] = "text";
p9570
sg8
(lp9571
(dp9572
g11
(lp9573
(dp9574
g149
I01
sg150
VSet
p9575
sg152
g9531
sg154
VSet::wrsym
p9576
sg156
VSymbol p is Protected.
p9577
sasg13
Nsg15
L4L
sass(g1693
g9166
g9541
L4L
tp9578
(dp9579
g6
VSetAttributes[p, Flat]
p9580
sg8
(lp9581
(dp9582
g11
(lp9583
sg13
Nsg15
L5L
sass(g1693
g9166
g9541
L5L
tp9584
(dp9585
g6
VAttributes[p]
p9586
sg8
(lp9587
(dp9588
g11
(lp9589
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Protected}\u005cright\u005c}
p9590
sg15
L6L
sass(g1693
g9166
g9541
L6L
tp9591
(dp9592
g6
VAttributes[p] = {};
p9593
sg8
(lp9594
(dp9595
g11
(lp9596
sg13
Nsg15
L7L
sass(g1693
g9166
g9541
L7L
tp9597
(dp9598
g6
Vp = 2
p9599
sg8
(lp9600
(dp9601
g11
(lp9602
sg13
V2
p9603
sg15
L8L
sass(g1693
g9166
g9541
L8L
tp9604
(dp9605
g6
VProtect[p]
p9606
sg8
(lp9607
(dp9608
g11
(lp9609
sg13
Nsg15
L9L
sass(g1693
g9166
g9541
L9L
tp9610
(dp9611
g6
VAttributes[p]
p9612
sg8
(lp9613
(dp9614
g11
(lp9615
sg13
V\u005cleft\u005c{\u005ctext{Protected}\u005cright\u005c}
p9616
sg15
L10L
sass(g1693
g9166
g9541
L10L
tp9617
(dp9618
g6
VUnprotect[p]
p9619
sg8
(lp9620
(dp9621
g11
(lp9622
sg13
Nsg15
L11L
sass(g1693
g9166
g9541
L11L
tp9623
(dp9624
g6
VSetAttributes[p, {Protected, Locked}]
p9625
sg8
(lp9626
(dp9627
g11
(lp9628
sg13
Nsg15
L12L
sass(g1693
g9166
g9541
L12L
tp9629
(dp9630
g6
Vp = 2
p9631
sg8
(lp9632
(dp9633
g11
(lp9634
(dp9635
g149
I01
sg150
VSet
p9636
sg152
g9531
sg154
VSet::wrsym
p9637
sg156
VSymbol p is Protected.
p9638
sasg13
V2
p9639
sg15
L13L
sass(g1693
g9166
g9541
L13L
tp9640
(dp9641
g6
VUnprotect[p]
p9642
sg8
(lp9643
(dp9644
g11
(lp9645
(dp9646
g149
I01
sg150
VClearAttributes
p9647
sg152
g9396
sg154
VClearAttributes::locked
p9648
sg156
VSymbol p is locked.
p9649
sasg13
Nsg15
L14L
sass(g1693
g9166
VReadProtected
p9650
L0L
tp9651
(dp9652
g6
VClearAll[p]
p9653
sg8
(lp9654
(dp9655
g11
(lp9656
sg13
Nsg15
L1L
sass(g1693
g9166
g9650
L1L
tp9657
(dp9658
g6
Vp = 3;
p9659
sg8
(lp9660
(dp9661
g11
(lp9662
sg13
Nsg15
L2L
sass(g1693
g9166
g9650
L2L
tp9663
(dp9664
g6
VDefinition[p]
p9665
sg8
(lp9666
(dp9667
g11
(lp9668
sg13
V\u005cbegin{array}{l} p=3\u005cend{array}
p9669
sg15
L3L
sass(g1693
g9166
g9650
L3L
tp9670
(dp9671
g6
VSetAttributes[p, ReadProtected]
p9672
sg8
(lp9673
(dp9674
g11
(lp9675
sg13
Nsg15
L4L
sass(g1693
g9166
g9650
L4L
tp9676
(dp9677
g6
VDefinition[p]
p9678
sg8
(lp9679
(dp9680
g11
(lp9681
sg13
V\u005cbegin{array}{l} \u005ctext{Attributes}\u005cleft[p\u005cright]=\u005cleft\u005c{\u005ctext{ReadProtected}\u005cright\u005c}\u005cend{array}
p9682
sg15
L5L
sass(g1693
g9166
VSequenceHold
p9683
L0L
tp9684
(dp9685
g6
Vf[Sequence[a, b]]
p9686
sg8
(lp9687
(dp9688
g11
(lp9689
sg13
Vf\u005cleft[a,b\u005cright]
p9690
sg15
L1L
sass(g1693
g9166
g9683
L1L
tp9691
(dp9692
g6
VSetAttributes[f, SequenceHold]
p9693
sg8
(lp9694
(dp9695
g11
(lp9696
sg13
Nsg15
L2L
sass(g1693
g9166
g9683
L2L
tp9697
(dp9698
g6
Vf[Sequence[a, b]]
p9699
sg8
(lp9700
(dp9701
g11
(lp9702
sg13
Vf\u005cleft[\u005ctext{Sequence}\u005cleft[a,b\u005cright]\u005cright]
p9703
sg15
L3L
sass(g1693
g9166
g9683
L3L
tp9704
(dp9705
g6
Vs = Sequence[a, b];
p9706
sg8
(lp9707
(dp9708
g11
(lp9709
sg13
Nsg15
L4L
sass(g1693
g9166
g9683
L4L
tp9710
(dp9711
g6
Vs
p9712
sg8
(lp9713
(dp9714
g11
(lp9715
sg13
V\u005ctext{Sequence}\u005cleft[a,b\u005cright]
p9716
sg15
L5L
sass(g1693
g9166
g9683
L5L
tp9717
(dp9718
g6
VPlus[s]
p9719
sg8
(lp9720
(dp9721
g11
(lp9722
sg13
Va+b
p9723
sg15
L6L
sass(g1693
g9166
VSetAttributes
p9724
L0L
tp9725
(dp9726
g6
VSetAttributes[f, Flat]
p9727
sg8
(lp9728
(dp9729
g11
(lp9730
sg13
Nsg15
L1L
sass(g1693
g9166
g9724
L1L
tp9731
(dp9732
g6
VAttributes[f]
p9733
sg8
(lp9734
(dp9735
g11
(lp9736
sg13
V\u005cleft\u005c{\u005ctext{Flat}\u005cright\u005c}
p9737
sg15
L2L
sass(g1693
g9166
g9724
L2L
tp9738
(dp9739
g6
VSetAttributes[{f, g}, {Flat, Orderless}]
p9740
sg8
(lp9741
(dp9742
g11
(lp9743
sg13
Nsg15
L3L
sass(g1693
g9166
g9724
L3L
tp9744
(dp9745
g6
VAttributes[g]
p9746
sg8
(lp9747
(dp9748
g11
(lp9749
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p9750
sg15
L4L
sass(g1693
VAssignment
p9751
VAddTo
p9752
L0L
tp9753
(dp9754
g6
Va = 10;
p9755
sg8
(lp9756
(dp9757
g11
(lp9758
sg13
Nsg15
L1L
sass(g1693
g9751
g9752
L1L
tp9759
(dp9760
g6
Va += 2
p9761
sg8
(lp9762
(dp9763
g11
(lp9764
sg13
V12
p9765
sg15
L2L
sass(g1693
g9751
g9752
L2L
tp9766
(dp9767
g6
g542
sg8
(lp9768
(dp9769
g11
(lp9770
sg13
V12
p9771
sg15
L3L
sass(g1693
g9751
VClear
p9772
L0L
tp9773
(dp9774
g6
Vx = 2;
p9775
sg8
(lp9776
(dp9777
g11
(lp9778
sg13
Nsg15
L1L
sass(g1693
g9751
g9772
L1L
tp9779
(dp9780
g6
VClear[x]
p9781
sg8
(lp9782
(dp9783
g11
(lp9784
sg13
Nsg15
L2L
sass(g1693
g9751
g9772
L2L
tp9785
(dp9786
g6
g195
sg8
(lp9787
(dp9788
g11
(lp9789
sg13
g195
sg15
L3L
sass(g1693
g9751
g9772
L3L
tp9790
(dp9791
g6
Vx = 2;
p9792
sg8
(lp9793
(dp9794
g11
(lp9795
sg13
Nsg15
L4L
sass(g1693
g9751
g9772
L4L
tp9796
(dp9797
g6
Vy = 3;
p9798
sg8
(lp9799
(dp9800
g11
(lp9801
sg13
Nsg15
L5L
sass(g1693
g9751
g9772
L5L
tp9802
(dp9803
g6
VClear["Global`*"]
p9804
sg8
(lp9805
(dp9806
g11
(lp9807
sg13
Nsg15
L6L
sass(g1693
g9751
g9772
L6L
tp9808
(dp9809
g6
g195
sg8
(lp9810
(dp9811
g11
(lp9812
sg13
g195
sg15
L7L
sass(g1693
g9751
g9772
L7L
tp9813
(dp9814
g6
g2052
sg8
(lp9815
(dp9816
g11
(lp9817
sg13
g2052
sg15
L8L
sass(g1693
g9751
g9772
L8L
tp9818
(dp9819
g6
VClear[Sin]
p9820
sg8
(lp9821
(dp9822
g11
(lp9823
(dp9824
g149
I01
sg150
VClear
p9825
sg152
g9531
sg154
VClear::wrsym
p9826
sg156
VSymbol Sin is Protected.
p9827
sasg13
Nsg15
L9L
sass(g1693
g9751
g9772
L9L
tp9828
(dp9829
g6
VUnprotect[Sin]
p9830
sg8
(lp9831
(dp9832
g11
(lp9833
sg13
Nsg15
L10L
sass(g1693
g9751
g9772
L10L
tp9834
(dp9835
g6
VClear[Sin]
p9836
sg8
(lp9837
(dp9838
g11
(lp9839
sg13
Nsg15
L11L
sass(g1693
g9751
g9772
L11L
tp9840
(dp9841
g6
VSin[Pi]
p9842
sg8
(lp9843
(dp9844
g11
(lp9845
sg13
V0
p9846
sg15
L12L
sass(g1693
g9751
g9772
L12L
tp9847
(dp9848
g6
VAttributes[r] = {Flat, Orderless};
p9849
sg8
(lp9850
(dp9851
g11
(lp9852
sg13
Nsg15
L13L
sass(g1693
g9751
g9772
L13L
tp9853
(dp9854
g6
VClear["r"]
p9855
sg8
(lp9856
(dp9857
g11
(lp9858
sg13
Nsg15
L14L
sass(g1693
g9751
g9772
L14L
tp9859
(dp9860
g6
VAttributes[r]
p9861
sg8
(lp9862
(dp9863
g11
(lp9864
sg13
V\u005cleft\u005c{\u005ctext{Flat},\u005ctext{Orderless}\u005cright\u005c}
p9865
sg15
L15L
sass(g1693
g9751
VClearAll
p9866
L0L
tp9867
(dp9868
g6
Vx = 2;
p9869
sg8
(lp9870
(dp9871
g11
(lp9872
sg13
Nsg15
L1L
sass(g1693
g9751
g9866
L1L
tp9873
(dp9874
g6
VClearAll[x]
p9875
sg8
(lp9876
(dp9877
g11
(lp9878
sg13
Nsg15
L2L
sass(g1693
g9751
g9866
L2L
tp9879
(dp9880
g6
g195
sg8
(lp9881
(dp9882
g11
(lp9883
sg13
g195
sg15
L3L
sass(g1693
g9751
g9866
L3L
tp9884
(dp9885
g6
VAttributes[r] = {Flat, Orderless};
p9886
sg8
(lp9887
(dp9888
g11
(lp9889
sg13
Nsg15
L4L
sass(g1693
g9751
g9866
L4L
tp9890
(dp9891
g6
VClearAll[r]
p9892
sg8
(lp9893
(dp9894
g11
(lp9895
sg13
Nsg15
L5L
sass(g1693
g9751
g9866
L5L
tp9896
(dp9897
g6
VAttributes[r]
p9898
sg8
(lp9899
(dp9900
g11
(lp9901
sg13
V\u005cleft\u005c{\u005cright\u005c}
p9902
sg15
L6L
sass(g1693
g9751
g9866
L6L
tp9903
(dp9904
g6
VAttributes[lock] = {Locked};
p9905
sg8
(lp9906
(dp9907
g11
(lp9908
sg13
Nsg15
L7L
sass(g1693
g9751
g9866
L7L
tp9909
(dp9910
g6
VClearAll[lock]
p9911
sg8
(lp9912
(dp9913
g11
(lp9914
(dp9915
g149
I01
sg150
VClear
p9916
sg152
g9396
sg154
VClear::locked
p9917
sg156
VSymbol lock is locked.
p9918
sasg13
Nsg15
L8L
sass(g1693
g9751
VDecrement
p9919
L0L
tp9920
(dp9921
g6
Va = 5;
p9922
sg8
(lp9923
(dp9924
g11
(lp9925
sg13
Nsg15
L1L
sass(g1693
g9751
g9919
L1L
tp9926
(dp9927
g6
Va--
p9928
sg8
(lp9929
(dp9930
g11
(lp9931
sg13
V5
p9932
sg15
L2L
sass(g1693
g9751
g9919
L2L
tp9933
(dp9934
g6
g542
sg8
(lp9935
(dp9936
g11
(lp9937
sg13
V4
p9938
sg15
L3L
sass(g1693
g9751
VDefaultValues
p9939
L0L
tp9940
(dp9941
g6
VDefault[f, 1] = 4
p9942
sg8
(lp9943
(dp9944
g11
(lp9945
sg13
V4
p9946
sg15
L1L
sass(g1693
g9751
g9939
L1L
tp9947
(dp9948
g6
VDefaultValues[f]
p9949
sg8
(lp9950
(dp9951
g11
(lp9952
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{Default}\u005cleft[f,1\u005cright]\u005cright]\u005ctext{:>}4\u005cright\u005c}
p9953
sg15
L2L
sass(g1693
g9751
g9939
L2L
tp9954
(dp9955
g6
VDefaultValues[g] = {Default[g] -> 3};
p9956
sg8
(lp9957
(dp9958
g11
(lp9959
sg13
Nsg15
L3L
sass(g1693
g9751
g9939
L3L
tp9960
(dp9961
g6
VDefault[g, 1]
p9962
sg8
(lp9963
(dp9964
g11
(lp9965
sg13
V3
p9966
sg15
L4L
sass(g1693
g9751
g9939
L4L
tp9967
(dp9968
g6
Vg[x_.] := {x}
p9969
sg8
(lp9970
(dp9971
g11
(lp9972
sg13
Nsg15
L5L
sass(g1693
g9751
g9939
L5L
tp9973
(dp9974
g6
Vg[a]
p9975
sg8
(lp9976
(dp9977
g11
(lp9978
sg13
V\u005cleft\u005c{a\u005cright\u005c}
p9979
sg15
L6L
sass(g1693
g9751
g9939
L6L
tp9980
(dp9981
g6
Vg[]
p9982
sg8
(lp9983
(dp9984
g11
(lp9985
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p9986
sg15
L7L
sass(g1693
g9751
VDefinition
p9987
L0L
tp9988
(dp9989
g6
Va = 2;
p9990
sg8
(lp9991
(dp9992
g11
(lp9993
sg13
Nsg15
L1L
sass(g1693
g9751
g9987
L1L
tp9994
(dp9995
g6
VDefinition[a]
p9996
sg8
(lp9997
(dp9998
g11
(lp9999
sg13
V\u005cbegin{array}{l} a=2\u005cend{array}
p10000
sg15
L2L
sass(g1693
g9751
g9987
L2L
tp10001
(dp10002
g6
Vf[x_] := x ^ 2
p10003
sg8
(lp10004
(dp10005
g11
(lp10006
sg13
Nsg15
L3L
sass(g1693
g9751
g9987
L3L
tp10007
(dp10008
g6
Vg[f] ^:= 2
p10009
sg8
(lp10010
(dp10011
g11
(lp10012
sg13
Nsg15
L4L
sass(g1693
g9751
g9987
L4L
tp10013
(dp10014
g6
VDefinition[f]
p10015
sg8
(lp10016
(dp10017
g11
(lp10018
sg13
V\u005cbegin{array}{l} f\u005cleft[\u005ctext{x\u005c_}\u005cright]=x^2\u005c\u005c g\u005cleft[f\u005cright]\u005ctext{${}^{\u005cwedge}$=}2\u005cend{array}
p10019
sg15
L5L
sass(g1693
g9751
g9987
L5L
tp10020
(dp10021
g6
VAttributes[r] := {Orderless}
p10022
sg8
(lp10023
(dp10024
g11
(lp10025
sg13
Nsg15
L6L
sass(g1693
g9751
g9987
L6L
tp10026
(dp10027
g6
VFormat[r[args___]] := Infix[{args}, "~"]
p10028
sg8
(lp10029
(dp10030
g11
(lp10031
sg13
Nsg15
L7L
sass(g1693
g9751
g9987
L7L
tp10032
(dp10033
g6
VN[r] := 3.5
p10034
sg8
(lp10035
(dp10036
g11
(lp10037
sg13
Nsg15
L8L
sass(g1693
g9751
g9987
L8L
tp10038
(dp10039
g6
VDefault[r, 1] := 2
p10040
sg8
(lp10041
(dp10042
g11
(lp10043
sg13
Nsg15
L9L
sass(g1693
g9751
g9987
L9L
tp10044
(dp10045
g6
Vr::msg := "My message"
p10046
sg8
(lp10047
(dp10048
g11
(lp10049
sg13
Nsg15
L10L
sass(g1693
g9751
g9987
L10L
tp10050
(dp10051
g6
VOptions[r] := {Opt -> 3}
p10052
sg8
(lp10053
(dp10054
g11
(lp10055
sg13
Nsg15
L11L
sass(g1693
g9751
g9987
L11L
tp10056
(dp10057
g6
Vr[arg_., OptionsPattern[r]] := {arg, OptionValue[Opt]}
p10058
sg8
(lp10059
(dp10060
g11
(lp10061
sg13
Nsg15
L12L
sass(g1693
g9751
g9987
L12L
tp10062
(dp10063
g6
Vr[z, x, y]
p10064
sg8
(lp10065
(dp10066
g11
(lp10067
sg13
Vx\u005csim{}y\u005csim{}z
p10068
sg15
L13L
sass(g1693
g9751
g9987
L13L
tp10069
(dp10070
g6
VN[r]
p10071
sg8
(lp10072
(dp10073
g11
(lp10074
sg13
V3.5
p10075
sg15
L14L
sass(g1693
g9751
g9987
L14L
tp10076
(dp10077
g6
Vr[]
p10078
sg8
(lp10079
(dp10080
g11
(lp10081
sg13
V\u005cleft\u005c{2,3\u005cright\u005c}
p10082
sg15
L15L
sass(g1693
g9751
g9987
L15L
tp10083
(dp10084
g6
Vr[5, Opt->7]
p10085
sg8
(lp10086
(dp10087
g11
(lp10088
sg13
V\u005cleft\u005c{5,7\u005cright\u005c}
p10089
sg15
L16L
sass(g1693
g9751
g9987
L16L
tp10090
(dp10091
g6
VDefinition[r]
p10092
sg8
(lp10093
(dp10094
g11
(lp10095
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}
p10096
sg15
L17L
sass(g1693
g9751
g9987
L17L
tp10097
(dp10098
g6
VSetAttributes[r, ReadProtected]
p10099
sg8
(lp10100
(dp10101
g11
(lp10102
sg13
Nsg15
L18L
sass(g1693
g9751
g9987
L18L
tp10103
(dp10104
g6
VDefinition[r]
p10105
sg8
(lp10106
(dp10107
g11
(lp10108
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}
p10109
sg15
L19L
sass(g1693
g9751
g9987
L19L
tp10110
(dp10111
g6
VDefinition[Plus]
p10112
sg8
(lp10113
(dp10114
g11
(lp10115
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}
p10116
sg15
L20L
sass(g1693
g9751
g9987
L20L
tp10117
(dp10118
g6
VDefinition[Level]
p10119
sg8
(lp10120
(dp10121
g11
(lp10122
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}
p10123
sg15
L21L
sass(g1693
g9751
g9987
L21L
tp10124
(dp10125
g6
VClearAttributes[r, ReadProtected]
p10126
sg8
(lp10127
(dp10128
g11
(lp10129
sg13
Nsg15
L22L
sass(g1693
g9751
g9987
L22L
tp10130
(dp10131
g6
VClear[r]
p10132
sg8
(lp10133
(dp10134
g11
(lp10135
sg13
Nsg15
L23L
sass(g1693
g9751
g9987
L23L
tp10136
(dp10137
g6
VDefinition[r]
p10138
sg8
(lp10139
(dp10140
g11
(lp10141
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}
p10142
sg15
L24L
sass(g1693
g9751
g9987
L24L
tp10143
(dp10144
g6
VClearAll[r]
p10145
sg8
(lp10146
(dp10147
g11
(lp10148
sg13
Nsg15
L25L
sass(g1693
g9751
g9987
L25L
tp10149
(dp10150
g6
VDefinition[r]
p10151
sg8
(lp10152
(dp10153
g11
(lp10154
sg13
V\u005ctext{Null}
p10155
sg15
L26L
sass(g1693
g9751
g9987
L26L
tp10156
(dp10157
g6
VDefinition[x]
p10158
sg8
(lp10159
(dp10160
g11
(lp10161
sg13
V\u005ctext{Null}
p10162
sg15
L27L
sass(g1693
g9751
VDivideBy
p10163
L0L
tp10164
(dp10165
g6
Va = 10;
p10166
sg8
(lp10167
(dp10168
g11
(lp10169
sg13
Nsg15
L1L
sass(g1693
g9751
g10163
L1L
tp10170
(dp10171
g6
Va /= 2
p10172
sg8
(lp10173
(dp10174
g11
(lp10175
sg13
V5
p10176
sg15
L2L
sass(g1693
g9751
g10163
L2L
tp10177
(dp10178
g6
g542
sg8
(lp10179
(dp10180
g11
(lp10181
sg13
V5
p10182
sg15
L3L
sass(g1693
g9751
VDownValues
p10183
L0L
tp10184
(dp10185
g6
Vf[x_] := x ^ 2
p10186
sg8
(lp10187
(dp10188
g11
(lp10189
sg13
Nsg15
L1L
sass(g1693
g9751
g10183
L1L
tp10190
(dp10191
g6
VDownValues[f]
p10192
sg8
(lp10193
(dp10194
g11
(lp10195
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[\u005ctext{x\u005c_}\u005cright]\u005cright]\u005ctext{:>}x^2\u005cright\u005c}
p10196
sg15
L2L
sass(g1693
g9751
g10183
L2L
tp10197
(dp10198
g6
Vf[x_Integer] := 2
p10199
sg8
(lp10200
(dp10201
g11
(lp10202
sg13
Nsg15
L3L
sass(g1693
g9751
g10183
L3L
tp10203
(dp10204
g6
Vf[x_Real] := 3
p10205
sg8
(lp10206
(dp10207
g11
(lp10208
sg13
Nsg15
L4L
sass(g1693
g9751
g10183
L4L
tp10209
(dp10210
g6
VDownValues[f]
p10211
sg8
(lp10212
(dp10213
g11
(lp10214
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}
p10215
sg15
L5L
sass(g1693
g9751
g10183
L5L
tp10216
(dp10217
g6
Vf[3]
p10218
sg8
(lp10219
(dp10220
g11
(lp10221
sg13
V2
p10222
sg15
L6L
sass(g1693
g9751
g10183
L6L
tp10223
(dp10224
g6
Vf[3.]
p10225
sg8
(lp10226
(dp10227
g11
(lp10228
sg13
V3
p10229
sg15
L7L
sass(g1693
g9751
g10183
L7L
tp10230
(dp10231
g6
Vf[a]
p10232
sg8
(lp10233
(dp10234
g11
(lp10235
sg13
Va^2
p10236
sg15
L8L
sass(g1693
g9751
g10183
L8L
tp10237
(dp10238
g6
VSort[{x_, x_Integer}, PatternsOrderedQ]
p10239
sg8
(lp10240
(dp10241
g11
(lp10242
sg13
V\u005cleft\u005c{\u005ctext{x\u005c_Integer},\u005ctext{x\u005c_}\u005cright\u005c}
p10243
sg15
L9L
sass(g1693
g9751
g10183
L9L
tp10244
(dp10245
g6
VDownValues[g] := {g[x_] :> x ^ 2, g[x_Integer] :> x}
p10246
sg8
(lp10247
(dp10248
g11
(lp10249
sg13
Nsg15
L10L
sass(g1693
g9751
g10183
L10L
tp10250
(dp10251
g6
Vg[2]
p10252
sg8
(lp10253
(dp10254
g11
(lp10255
sg13
V4
p10256
sg15
L11L
sass(g1693
g9751
g10183
L11L
tp10257
(dp10258
g6
VDownValues[fib] := {fib[0] -> 0, fib[1] -> 1, fib[n_] :> fib[n - 1] + fib[n - 2]}
p10259
sg8
(lp10260
(dp10261
g11
(lp10262
sg13
Nsg15
L12L
sass(g1693
g9751
g10183
L12L
tp10263
(dp10264
g6
Vfib[5]
p10265
sg8
(lp10266
(dp10267
g11
(lp10268
sg13
V5
p10269
sg15
L13L
sass(g1693
g9751
VIncrement
p10270
L0L
tp10271
(dp10272
g6
Va = 2;
p10273
sg8
(lp10274
(dp10275
g11
(lp10276
sg13
Nsg15
L1L
sass(g1693
g9751
g10270
L1L
tp10277
(dp10278
g6
Va++
p10279
sg8
(lp10280
(dp10281
g11
(lp10282
sg13
V2
p10283
sg15
L2L
sass(g1693
g9751
g10270
L2L
tp10284
(dp10285
g6
g542
sg8
(lp10286
(dp10287
g11
(lp10288
sg13
V3
p10289
sg15
L3L
sass(g1693
g9751
g10270
L3L
tp10290
(dp10291
g6
V++++a+++++2//Hold//FullForm
p10292
sg8
(lp10293
(dp10294
g11
(lp10295
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]
p10296
sg15
L4L
sass(g1693
g9751
VLoadModule
p10297
L0L
tp10298
(dp10299
g6
VLoadModule["nomodule"]
p10300
sg8
(lp10301
(dp10302
g11
(lp10303
(dp10304
g149
I01
sg150
VLoadModule
p10305
sg152
Vnotfound
p10306
sg154
VLoadModule::notfound
p10307
sg156
VPython module nomodule does not exist.
p10308
sasg13
V\u005ctext{\u005c$Failed}
p10309
sg15
L1L
sass(g1693
g9751
g10297
L1L
tp10310
(dp10311
g6
VLoadModule["sys"]
p10312
sg8
(lp10313
(dp10314
g11
(lp10315
(dp10316
g149
I01
sg150
VLoadModule
p10317
sg152
Vnotmathicslib
p10318
sg154
VLoadModule::notmathicslib
p10319
sg156
VPython module sys is not a pymathics module.
p10320
sasg13
V\u005ctext{\u005c$Failed}
p10321
sg15
L2L
sass(g1693
g9751
VMessages
p10322
L0L
tp10323
(dp10324
g6
Va::b = "foo"
p10325
sg8
(lp10326
(dp10327
g11
(lp10328
sg13
V\u005ctext{foo}
p10329
sg15
L1L
sass(g1693
g9751
g10322
L1L
tp10330
(dp10331
g6
VMessages[a]
p10332
sg8
(lp10333
(dp10334
g11
(lp10335
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005ctext{::}\u005ctext{b}\u005cright]\u005ctext{:>}\u005ctext{foo}\u005cright\u005c}
p10336
sg15
L2L
sass(g1693
g9751
g10322
L2L
tp10337
(dp10338
g6
VMessages[a] = {a::c :> "bar"};
p10339
sg8
(lp10340
(dp10341
g11
(lp10342
sg13
Nsg15
L3L
sass(g1693
g9751
g10322
L3L
tp10343
(dp10344
g6
Va::c // InputForm
p10345
sg8
(lp10346
(dp10347
g11
(lp10348
sg13
V\u005ctext{"bar"}
p10349
sg15
L4L
sass(g1693
g9751
g10322
L4L
tp10350
(dp10351
g6
VMessage[a::c]
p10352
sg8
(lp10353
(dp10354
g11
(lp10355
(dp10356
g149
I01
sg150
g542
sg152
g444
sg154
Va::c
p10357
sg156
Vbar
p10358
sasg13
Nsg15
L5L
sass(g1693
g9751
VNValues
p10359
L0L
tp10360
(dp10361
g6
VNValues[a]
p10362
sg8
(lp10363
(dp10364
g11
(lp10365
sg13
V\u005cleft\u005c{\u005cright\u005c}
p10366
sg15
L1L
sass(g1693
g9751
g10359
L1L
tp10367
(dp10368
g6
VN[a] = 3;
p10369
sg8
(lp10370
(dp10371
g11
(lp10372
sg13
Nsg15
L2L
sass(g1693
g9751
g10359
L2L
tp10373
(dp10374
g6
VNValues[a]
p10375
sg8
(lp10376
(dp10377
g11
(lp10378
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[N\u005cleft[a,\u005ctext{MachinePrecision}\u005cright]\u005cright]\u005ctext{:>}3\u005cright\u005c}
p10379
sg15
L3L
sass(g1693
g9751
g10359
L3L
tp10380
(dp10381
g6
VNValues[b] := {N[b, MachinePrecision] :> 2}
p10382
sg8
(lp10383
(dp10384
g11
(lp10385
sg13
Nsg15
L4L
sass(g1693
g9751
g10359
L4L
tp10386
(dp10387
g6
VN[b]
p10388
sg8
(lp10389
(dp10390
g11
(lp10391
sg13
V2.
p10392
sg15
L5L
sass(g1693
g9751
g10359
L5L
tp10393
(dp10394
g6
VNValues[c] := {N[c] :> 3}
p10395
sg8
(lp10396
(dp10397
g11
(lp10398
sg13
Nsg15
L6L
sass(g1693
g9751
g10359
L6L
tp10399
(dp10400
g6
VN[c]
p10401
sg8
(lp10402
(dp10403
g11
(lp10404
sg13
g444
sg15
L7L
sass(g1693
g9751
g10359
L7L
tp10405
(dp10406
g6
VNValues[d] = {foo -> bar};
p10407
sg8
(lp10408
(dp10409
g11
(lp10410
sg13
Nsg15
L8L
sass(g1693
g9751
g10359
L8L
tp10411
(dp10412
g6
VNValues[d]
p10413
sg8
(lp10414
(dp10415
g11
(lp10416
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[\u005ctext{foo}\u005cright]\u005ctext{:>}\u005ctext{bar}\u005cright\u005c}
p10417
sg15
L9L
sass(g1693
g9751
g10359
L9L
tp10418
(dp10419
g6
VN[d]
p10420
sg8
(lp10421
(dp10422
g11
(lp10423
sg13
g519
sg15
L10L
sass(g1693
g9751
VOwnValues
p10424
L0L
tp10425
(dp10426
g6
Vx = 3;
p10427
sg8
(lp10428
(dp10429
g11
(lp10430
sg13
Nsg15
L1L
sass(g1693
g9751
g10424
L1L
tp10431
(dp10432
g6
Vx = 2;
p10433
sg8
(lp10434
(dp10435
g11
(lp10436
sg13
Nsg15
L2L
sass(g1693
g9751
g10424
L2L
tp10437
(dp10438
g6
VOwnValues[x]
p10439
sg8
(lp10440
(dp10441
g11
(lp10442
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}2\u005cright\u005c}
p10443
sg15
L3L
sass(g1693
g9751
g10424
L3L
tp10444
(dp10445
g6
Vx := y
p10446
sg8
(lp10447
(dp10448
g11
(lp10449
sg13
Nsg15
L4L
sass(g1693
g9751
g10424
L4L
tp10450
(dp10451
g6
VOwnValues[x]
p10452
sg8
(lp10453
(dp10454
g11
(lp10455
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}y\u005cright\u005c}
p10456
sg15
L5L
sass(g1693
g9751
g10424
L5L
tp10457
(dp10458
g6
Vy = 5;
p10459
sg8
(lp10460
(dp10461
g11
(lp10462
sg13
Nsg15
L6L
sass(g1693
g9751
g10424
L6L
tp10463
(dp10464
g6
VOwnValues[x]
p10465
sg8
(lp10466
(dp10467
g11
(lp10468
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[x\u005cright]\u005ctext{:>}y\u005cright\u005c}
p10469
sg15
L7L
sass(g1693
g9751
g10424
L7L
tp10470
(dp10471
g6
VHold[x] /. OwnValues[x]
p10472
sg8
(lp10473
(dp10474
g11
(lp10475
sg13
V\u005ctext{Hold}\u005cleft[y\u005cright]
p10476
sg15
L8L
sass(g1693
g9751
g10424
L8L
tp10477
(dp10478
g6
VHold[x] /. OwnValues[x] // ReleaseHold
p10479
sg8
(lp10480
(dp10481
g11
(lp10482
sg13
V5
p10483
sg15
L9L
sass(g1693
g9751
VPreDecrement
p10484
L0L
tp10485
(dp10486
g6
Va = 2;
p10487
sg8
(lp10488
(dp10489
g11
(lp10490
sg13
Nsg15
L1L
sass(g1693
g9751
g10484
L1L
tp10491
(dp10492
g6
V--a
p10493
sg8
(lp10494
(dp10495
g11
(lp10496
sg13
V1
p10497
sg15
L2L
sass(g1693
g9751
g10484
L2L
tp10498
(dp10499
g6
g542
sg8
(lp10500
(dp10501
g11
(lp10502
sg13
V1
p10503
sg15
L3L
sass(g1693
g9751
VPreIncrement
p10504
L0L
tp10505
(dp10506
g6
Va = 2;
p10507
sg8
(lp10508
(dp10509
g11
(lp10510
sg13
Nsg15
L1L
sass(g1693
g9751
g10504
L1L
tp10511
(dp10512
g6
V++a
p10513
sg8
(lp10514
(dp10515
g11
(lp10516
sg13
V3
p10517
sg15
L2L
sass(g1693
g9751
g10504
L2L
tp10518
(dp10519
g6
g542
sg8
(lp10520
(dp10521
g11
(lp10522
sg13
V3
p10523
sg15
L3L
sass(g1693
g9751
VSet
p10524
L0L
tp10525
(dp10526
g6
Va = 3
p10527
sg8
(lp10528
(dp10529
g11
(lp10530
sg13
V3
p10531
sg15
L1L
sass(g1693
g9751
g10524
L1L
tp10532
(dp10533
g6
g542
sg8
(lp10534
(dp10535
g11
(lp10536
sg13
V3
p10537
sg15
L2L
sass(g1693
g9751
g10524
L2L
tp10538
(dp10539
g6
VOwnValues[a]
p10540
sg8
(lp10541
(dp10542
g11
(lp10543
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cright]\u005ctext{:>}3\u005cright\u005c}
p10544
sg15
L3L
sass(g1693
g9751
g10524
L3L
tp10545
(dp10546
g6
V{a, b, c} = {10, 2, 3}
p10547
sg8
(lp10548
(dp10549
g11
(lp10550
sg13
V\u005cleft\u005c{10,2,3\u005cright\u005c}
p10551
sg15
L4L
sass(g1693
g9751
g10524
L4L
tp10552
(dp10553
g6
V{a, b, {c, {d}}} = {1, 2, {{c1, c2}, {a}}}
p10554
sg8
(lp10555
(dp10556
g11
(lp10557
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}
p10558
sg15
L5L
sass(g1693
g9751
g10524
L5L
tp10559
(dp10560
g6
g519
sg8
(lp10561
(dp10562
g11
(lp10563
sg13
V10
p10564
sg15
L6L
sass(g1693
g9751
g10524
L6L
tp10565
(dp10566
g6
g542
sg8
(lp10567
(dp10568
g11
(lp10569
sg13
V1
p10570
sg15
L7L
sass(g1693
g9751
g10524
L7L
tp10571
(dp10572
g6
Vx = a
p10573
sg8
(lp10574
(dp10575
g11
(lp10576
sg13
V1
p10577
sg15
L8L
sass(g1693
g9751
g10524
L8L
tp10578
(dp10579
g6
Va = 2
p10580
sg8
(lp10581
(dp10582
g11
(lp10583
sg13
V2
p10584
sg15
L9L
sass(g1693
g9751
g10524
L9L
tp10585
(dp10586
g6
g195
sg8
(lp10587
(dp10588
g11
(lp10589
sg13
V1
p10590
sg15
L10L
sass(g1693
g9751
g10524
L10L
tp10591
(dp10592
g6
Va = b = c = 2;
p10593
sg8
(lp10594
(dp10595
g11
(lp10596
sg13
Nsg15
L11L
sass(g1693
g9751
g10524
L11L
tp10597
(dp10598
g6
Va == b == c == 2
p10599
sg8
(lp10600
(dp10601
g11
(lp10602
sg13
V\u005ctext{True}
p10603
sg15
L12L
sass(g1693
g9751
g10524
L12L
tp10604
(dp10605
g6
VA = {{1, 2}, {3, 4}};
p10606
sg8
(lp10607
(dp10608
g11
(lp10609
sg13
Nsg15
L13L
sass(g1693
g9751
g10524
L13L
tp10610
(dp10611
g6
VA[[1, 2]] = 5
p10612
sg8
(lp10613
(dp10614
g11
(lp10615
sg13
V5
p10616
sg15
L14L
sass(g1693
g9751
g10524
L14L
tp10617
(dp10618
g6
g9536
sg8
(lp10619
(dp10620
g11
(lp10621
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,5\u005cright\u005c},\u005cleft\u005c{3,4\u005cright\u005c}\u005cright\u005c}
p10622
sg15
L15L
sass(g1693
g9751
g10524
L15L
tp10623
(dp10624
g6
VA[[;;, 2]] = {6, 7}
p10625
sg8
(lp10626
(dp10627
g11
(lp10628
sg13
V\u005cleft\u005c{6,7\u005cright\u005c}
p10629
sg15
L16L
sass(g1693
g9751
g10524
L16L
tp10630
(dp10631
g6
g9536
sg8
(lp10632
(dp10633
g11
(lp10634
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,6\u005cright\u005c},\u005cleft\u005c{3,7\u005cright\u005c}\u005cright\u005c}
p10635
sg15
L17L
sass(g1693
g9751
g10524
L17L
tp10636
(dp10637
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p10638
sg8
(lp10639
(dp10640
g11
(lp10641
sg13
Nsg15
L18L
sass(g1693
g9751
g10524
L18L
tp10642
(dp10643
g6
VB[[1;;2, 2;;-1]] = {{t, u}, {y, z}};
p10644
sg8
(lp10645
(dp10646
g11
(lp10647
sg13
Nsg15
L19L
sass(g1693
g9751
g10524
L19L
tp10648
(dp10649
g6
VB
p10650
sg8
(lp10651
(dp10652
g11
(lp10653
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}
p10654
sg15
L20L
sass(g1693
g9751
VSetDelayed
p10655
L0L
tp10656
(dp10657
g6
VAttributes[SetDelayed]
p10658
sg8
(lp10659
(dp10660
g11
(lp10661
sg13
V\u005cleft\u005c{\u005ctext{HoldAll},\u005ctext{Protected},\u005ctext{SequenceHold}\u005cright\u005c}
p10662
sg15
L1L
sass(g1693
g9751
g10655
L1L
tp10663
(dp10664
g6
Va = 1
p10665
sg8
(lp10666
(dp10667
g11
(lp10668
sg13
V1
p10669
sg15
L2L
sass(g1693
g9751
g10655
L2L
tp10670
(dp10671
g6
Vx := a
p10672
sg8
(lp10673
(dp10674
g11
(lp10675
sg13
Nsg15
L3L
sass(g1693
g9751
g10655
L3L
tp10676
(dp10677
g6
g195
sg8
(lp10678
(dp10679
g11
(lp10680
sg13
V1
p10681
sg15
L4L
sass(g1693
g9751
g10655
L4L
tp10682
(dp10683
g6
Va = 2
p10684
sg8
(lp10685
(dp10686
g11
(lp10687
sg13
V2
p10688
sg15
L5L
sass(g1693
g9751
g10655
L5L
tp10689
(dp10690
g6
g195
sg8
(lp10691
(dp10692
g11
(lp10693
sg13
V2
p10694
sg15
L6L
sass(g1693
g9751
g10655
L6L
tp10695
(dp10696
g6
Vf[x_] := p[x] /; x>0
p10697
sg8
(lp10698
(dp10699
g11
(lp10700
sg13
Nsg15
L7L
sass(g1693
g9751
g10655
L7L
tp10701
(dp10702
g6
Vf[3]
p10703
sg8
(lp10704
(dp10705
g11
(lp10706
sg13
Vp\u005cleft[3\u005cright]
p10707
sg15
L8L
sass(g1693
g9751
g10655
L8L
tp10708
(dp10709
g6
Vf[-3]
p10710
sg8
(lp10711
(dp10712
g11
(lp10713
sg13
Vf\u005cleft[-3\u005cright]
p10714
sg15
L9L
sass(g1693
g9751
g10655
L9L
tp10715
(dp10716
g6
VF[x_, y_] /; x < y /; x>0  := x / y;
p10717
sg8
(lp10718
(dp10719
g11
(lp10720
sg13
Nsg15
L10L
sass(g1693
g9751
g10655
L10L
tp10721
(dp10722
g6
VF[x_, y_] := y / x;
p10723
sg8
(lp10724
(dp10725
g11
(lp10726
sg13
Nsg15
L11L
sass(g1693
g9751
g10655
L11L
tp10727
(dp10728
g6
VF[2, 3]
p10729
sg8
(lp10730
(dp10731
g11
(lp10732
sg13
V\u005cfrac{2}{3}
p10733
sg15
L12L
sass(g1693
g9751
g10655
L12L
tp10734
(dp10735
g6
VF[3, 2]
p10736
sg8
(lp10737
(dp10738
g11
(lp10739
sg13
V\u005cfrac{2}{3}
p10740
sg15
L13L
sass(g1693
g9751
g10655
L13L
tp10741
(dp10742
g6
VF[-3, 2]
p10743
sg8
(lp10744
(dp10745
g11
(lp10746
sg13
V-\u005cfrac{2}{3}
p10747
sg15
L14L
sass(g1693
g9751
VSubValues
p10748
L0L
tp10749
(dp10750
g6
Vf[1][x_] := x
p10751
sg8
(lp10752
(dp10753
g11
(lp10754
sg13
Nsg15
L1L
sass(g1693
g9751
g10748
L1L
tp10755
(dp10756
g6
Vf[2][x_] := x ^ 2
p10757
sg8
(lp10758
(dp10759
g11
(lp10760
sg13
Nsg15
L2L
sass(g1693
g9751
g10748
L2L
tp10761
(dp10762
g6
VSubValues[f]
p10763
sg8
(lp10764
(dp10765
g11
(lp10766
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}
p10767
sg15
L3L
sass(g1693
g9751
g10748
L3L
tp10768
(dp10769
g6
VDefinition[f]
p10770
sg8
(lp10771
(dp10772
g11
(lp10773
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}
p10774
sg15
L4L
sass(g1693
g9751
VSubtractFrom
p10775
L0L
tp10776
(dp10777
g6
Va = 10;
p10778
sg8
(lp10779
(dp10780
g11
(lp10781
sg13
Nsg15
L1L
sass(g1693
g9751
g10775
L1L
tp10782
(dp10783
g6
Va -= 2
p10784
sg8
(lp10785
(dp10786
g11
(lp10787
sg13
V8
p10788
sg15
L2L
sass(g1693
g9751
g10775
L2L
tp10789
(dp10790
g6
g542
sg8
(lp10791
(dp10792
g11
(lp10793
sg13
V8
p10794
sg15
L3L
sass(g1693
g9751
VTagSet
p10795
L0L
tp10796
(dp10797
g6
Vx /: f[x] = 2
p10798
sg8
(lp10799
(dp10800
g11
(lp10801
sg13
V2
p10802
sg15
L1L
sass(g1693
g9751
g10795
L1L
tp10803
(dp10804
g6
Vf[x]
p10805
sg8
(lp10806
(dp10807
g11
(lp10808
sg13
V2
p10809
sg15
L2L
sass(g1693
g9751
g10795
L2L
tp10810
(dp10811
g6
VDownValues[f]
p10812
sg8
(lp10813
(dp10814
g11
(lp10815
sg13
V\u005cleft\u005c{\u005cright\u005c}
p10816
sg15
L3L
sass(g1693
g9751
g10795
L3L
tp10817
(dp10818
g6
VUpValues[x]
p10819
sg8
(lp10820
(dp10821
g11
(lp10822
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[f\u005cleft[x\u005cright]\u005cright]\u005ctext{:>}2\u005cright\u005c}
p10823
sg15
L4L
sass(g1693
g9751
g10795
L4L
tp10824
(dp10825
g6
Vx /: f[g[x]] = 3;
p10826
sg8
(lp10827
(dp10828
g11
(lp10829
(dp10830
g149
I01
sg150
VTagSet
p10831
sg152
g3121
sg154
VTagSet::tagnfd
p10832
sg156
VTag x not found or too deep for an assigned rule.
p10833
sasg13
Nsg15
L5L
sass(g1693
g9751
g10795
L5L
tp10834
(dp10835
g6
Vg /: f[g[x]] = 3;
p10836
sg8
(lp10837
(dp10838
g11
(lp10839
sg13
Nsg15
L6L
sass(g1693
g9751
g10795
L6L
tp10840
(dp10841
g6
Vf[g[x]]
p10842
sg8
(lp10843
(dp10844
g11
(lp10845
sg13
V3
p10846
sg15
L7L
sass(g1693
g9751
VTimesBy
p10847
L0L
tp10848
(dp10849
g6
Va = 10;
p10850
sg8
(lp10851
(dp10852
g11
(lp10853
sg13
Nsg15
L1L
sass(g1693
g9751
g10847
L1L
tp10854
(dp10855
g6
Va *= 2
p10856
sg8
(lp10857
(dp10858
g11
(lp10859
sg13
V20
p10860
sg15
L2L
sass(g1693
g9751
g10847
L2L
tp10861
(dp10862
g6
g542
sg8
(lp10863
(dp10864
g11
(lp10865
sg13
V20
p10866
sg15
L3L
sass(g1693
g9751
VUnset
p10867
L0L
tp10868
(dp10869
g6
Va = 2
p10870
sg8
(lp10871
(dp10872
g11
(lp10873
sg13
V2
p10874
sg15
L1L
sass(g1693
g9751
g10867
L1L
tp10875
(dp10876
g6
Va =.
p10877
sg8
(lp10878
(dp10879
g11
(lp10880
sg13
Nsg15
L2L
sass(g1693
g9751
g10867
L2L
tp10881
(dp10882
g6
g542
sg8
(lp10883
(dp10884
g11
(lp10885
sg13
g542
sg15
L3L
sass(g1693
g9751
g10867
L3L
tp10886
(dp10887
g6
Va =.
p10888
sg8
(lp10889
(dp10890
g11
(lp10891
sg13
Nsg15
L4L
sass(g1693
g9751
g10867
L4L
tp10892
(dp10893
g6
Vb =.
p10894
sg8
(lp10895
(dp10896
g11
(lp10897
sg13
Nsg15
L5L
sass(g1693
g9751
g10867
L5L
tp10898
(dp10899
g6
Vf[x_] =.
p10900
sg8
(lp10901
(dp10902
g11
(lp10903
(dp10904
g149
I01
sg150
VUnset
p10905
sg152
Vnorep
p10906
sg154
VUnset::norep
p10907
sg156
VAssignment on f for f[x_] not found.
p10908
sasg13
V\u005ctext{\u005c$Failed}
p10909
sg15
L6L
sass(g1693
g9751
g10867
L6L
tp10910
(dp10911
g6
Vf[x_] := x ^ 2
p10912
sg8
(lp10913
(dp10914
g11
(lp10915
sg13
Nsg15
L7L
sass(g1693
g9751
g10867
L7L
tp10916
(dp10917
g6
Vf[3]
p10918
sg8
(lp10919
(dp10920
g11
(lp10921
sg13
V9
p10922
sg15
L8L
sass(g1693
g9751
g10867
L8L
tp10923
(dp10924
g6
Vf[x_] =.
p10925
sg8
(lp10926
(dp10927
g11
(lp10928
sg13
Nsg15
L9L
sass(g1693
g9751
g10867
L9L
tp10929
(dp10930
g6
Vf[3]
p10931
sg8
(lp10932
(dp10933
g11
(lp10934
sg13
Vf\u005cleft[3\u005cright]
p10935
sg15
L10L
sass(g1693
g9751
g10867
L10L
tp10936
(dp10937
g6
Vf[x_] = x; f[0] = 1;
p10938
sg8
(lp10939
(dp10940
g11
(lp10941
sg13
Nsg15
L11L
sass(g1693
g9751
g10867
L11L
tp10942
(dp10943
g6
VDownValues[f] =.
p10944
sg8
(lp10945
(dp10946
g11
(lp10947
sg13
Nsg15
L12L
sass(g1693
g9751
g10867
L12L
tp10948
(dp10949
g6
Vf[2]
p10950
sg8
(lp10951
(dp10952
g11
(lp10953
sg13
Vf\u005cleft[2\u005cright]
p10954
sg15
L13L
sass(g1693
g9751
g10867
L13L
tp10955
(dp10956
g6
Va = b = 3;
p10957
sg8
(lp10958
(dp10959
g11
(lp10960
sg13
Nsg15
L14L
sass(g1693
g9751
g10867
L14L
tp10961
(dp10962
g6
V{a, {b}} =.
p10963
sg8
(lp10964
(dp10965
g11
(lp10966
sg13
V\u005cleft\u005c{\u005ctext{Null},\u005cleft\u005c{\u005ctext{Null}\u005cright\u005c}\u005cright\u005c}
p10967
sg15
L15L
sass(g1693
g9751
VUpSet
p10968
L0L
tp10969
(dp10970
g6
Va[b] ^= 3;
p10971
sg8
(lp10972
(dp10973
g11
(lp10974
sg13
Nsg15
L1L
sass(g1693
g9751
g10968
L1L
tp10975
(dp10976
g6
VDownValues[a]
p10977
sg8
(lp10978
(dp10979
g11
(lp10980
sg13
V\u005cleft\u005c{\u005cright\u005c}
p10981
sg15
L2L
sass(g1693
g9751
g10968
L2L
tp10982
(dp10983
g6
VUpValues[b]
p10984
sg8
(lp10985
(dp10986
g11
(lp10987
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cleft[b\u005cright]\u005cright]\u005ctext{:>}3\u005cright\u005c}
p10988
sg15
L3L
sass(g1693
g9751
g10968
L3L
tp10989
(dp10990
g6
Va ^= 3
p10991
sg8
(lp10992
(dp10993
g11
(lp10994
(dp10995
g149
I01
sg150
VUpSet
p10996
sg152
Vnormal
p10997
sg154
VUpSet::normal
p10998
sg156
VNonatomic expression expected.
p10999
sasg13
V3
p11000
sg15
L4L
sass(g1693
g9751
g10968
L4L
tp11001
(dp11002
g6
VFormat[r] ^= "custom";
p11003
sg8
(lp11004
(dp11005
g11
(lp11006
sg13
Nsg15
L5L
sass(g1693
g9751
g10968
L5L
tp11007
(dp11008
g6
Vr
p11009
sg8
(lp11010
(dp11011
g11
(lp11012
sg13
V\u005ctext{custom}
p11013
sg15
L6L
sass(g1693
g9751
g10968
L6L
tp11014
(dp11015
g6
VUpValues[r]
p11016
sg8
(lp11017
(dp11018
g11
(lp11019
sg13
V\u005cleft\u005c{\u005cright\u005c}
p11020
sg15
L7L
sass(g1693
g9751
VUpSetDelayed
p11021
L0L
tp11022
(dp11023
g6
Va[b] ^:= x
p11024
sg8
(lp11025
(dp11026
g11
(lp11027
sg13
Nsg15
L1L
sass(g1693
g9751
g11021
L1L
tp11028
(dp11029
g6
Vx = 2;
p11030
sg8
(lp11031
(dp11032
g11
(lp11033
sg13
Nsg15
L2L
sass(g1693
g9751
g11021
L2L
tp11034
(dp11035
g6
Va[b]
p11036
sg8
(lp11037
(dp11038
g11
(lp11039
sg13
V2
p11040
sg15
L3L
sass(g1693
g9751
g11021
L3L
tp11041
(dp11042
g6
VUpValues[b]
p11043
sg8
(lp11044
(dp11045
g11
(lp11046
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a\u005cleft[b\u005cright]\u005cright]\u005ctext{:>}x\u005cright\u005c}
p11047
sg15
L4L
sass(g1693
g9751
VUpValues
p11048
L0L
tp11049
(dp11050
g6
Va + b ^= 2
p11051
sg8
(lp11052
(dp11053
g11
(lp11054
sg13
V2
p11055
sg15
L1L
sass(g1693
g9751
g11048
L1L
tp11056
(dp11057
g6
VUpValues[a]
p11058
sg8
(lp11059
(dp11060
g11
(lp11061
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a+b\u005cright]\u005ctext{:>}2\u005cright\u005c}
p11062
sg15
L2L
sass(g1693
g9751
g11048
L2L
tp11063
(dp11064
g6
VUpValues[b]
p11065
sg8
(lp11066
(dp11067
g11
(lp11068
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[a+b\u005cright]\u005ctext{:>}2\u005cright\u005c}
p11069
sg15
L3L
sass(g1693
g9751
g11048
L3L
tp11070
(dp11071
g6
VUpValues[pi] := {Sin[pi] :> 0}
p11072
sg8
(lp11073
(dp11074
g11
(lp11075
sg13
Nsg15
L4L
sass(g1693
g9751
g11048
L4L
tp11076
(dp11077
g6
VSin[pi]
p11078
sg8
(lp11079
(dp11080
g11
(lp11081
sg13
V0
p11082
sg15
L5L
sass(g1693
VTensors
p11083
VArrayDepth
p11084
L0L
tp11085
(dp11086
g6
VArrayDepth[{{a,b},{c,d}}]
p11087
sg8
(lp11088
(dp11089
g11
(lp11090
sg13
V2
p11091
sg15
L1L
sass(g1693
g11083
g11084
L1L
tp11092
(dp11093
g6
VArrayDepth[x]
p11094
sg8
(lp11095
(dp11096
g11
(lp11097
sg13
V0
p11098
sg15
L2L
sass(g1693
g11083
VArrayQ
p11099
L0L
tp11100
(dp11101
g6
VArrayQ[a]
p11102
sg8
(lp11103
(dp11104
g11
(lp11105
sg13
V\u005ctext{False}
p11106
sg15
L1L
sass(g1693
g11083
g11099
L1L
tp11107
(dp11108
g6
VArrayQ[{a}]
p11109
sg8
(lp11110
(dp11111
g11
(lp11112
sg13
V\u005ctext{True}
p11113
sg15
L2L
sass(g1693
g11083
g11099
L2L
tp11114
(dp11115
g6
VArrayQ[{{{a}},{{b,c}}}]
p11116
sg8
(lp11117
(dp11118
g11
(lp11119
sg13
V\u005ctext{False}
p11120
sg15
L3L
sass(g1693
g11083
g11099
L3L
tp11121
(dp11122
g6
VArrayQ[{{a, b}, {c, d}}, 2, SymbolQ]
p11123
sg8
(lp11124
(dp11125
g11
(lp11126
sg13
V\u005ctext{True}
p11127
sg15
L4L
sass(g1693
g11083
VDiagonalMatrix
p11128
L0L
tp11129
(dp11130
g6
VDiagonalMatrix[{1, 2, 3}]
p11131
sg8
(lp11132
(dp11133
g11
(lp11134
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}
p11135
sg15
L1L
sass(g1693
g11083
g11128
L1L
tp11136
(dp11137
g6
VMatrixForm[%]
p11138
sg8
(lp11139
(dp11140
g11
(lp11141
sg13
V\u005cleft(\u005cbegin{array}{ccc} 1 & 0 & 0\u005c\u005c 0 & 2 & 0\u005c\u005c 0 & 0 & 3\u005cend{array}\u005cright)
p11142
sg15
L2L
sass(g1693
g11083
VDimensions
p11143
L0L
tp11144
(dp11145
g6
VDimensions[{a, b, c}]
p11146
sg8
(lp11147
(dp11148
g11
(lp11149
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p11150
sg15
L1L
sass(g1693
g11083
g11143
L1L
tp11151
(dp11152
g6
VDimensions[{{a, b}, {c, d}, {e, f}}]
p11153
sg8
(lp11154
(dp11155
g11
(lp11156
sg13
V\u005cleft\u005c{3,2\u005cright\u005c}
p11157
sg15
L2L
sass(g1693
g11083
g11143
L2L
tp11158
(dp11159
g6
VDimensions[{{a, b}, {b, c}, {c, d, e}}]
p11160
sg8
(lp11161
(dp11162
g11
(lp11163
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p11164
sg15
L3L
sass(g1693
g11083
g11143
L3L
tp11165
(dp11166
g6
VDimensions[f[f[a, b, c]]]
p11167
sg8
(lp11168
(dp11169
g11
(lp11170
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p11171
sg15
L4L
sass(g1693
g11083
VDot
p11172
L0L
tp11173
(dp11174
g6
V{a, b, c} . {x, y, z}
p11175
sg8
(lp11176
(dp11177
g11
(lp11178
sg13
Va x+b y+c z
p11179
sg15
L1L
sass(g1693
g11083
g11172
L1L
tp11180
(dp11181
g6
V{{a, b}, {c, d}} . {x, y}
p11182
sg8
(lp11183
(dp11184
g11
(lp11185
sg13
V\u005cleft\u005c{a x+b y,c x+d y\u005cright\u005c}
p11186
sg15
L2L
sass(g1693
g11083
g11172
L2L
tp11187
(dp11188
g6
V{{a, b}, {c, d}} . {{r, s}, {t, u}}
p11189
sg8
(lp11190
(dp11191
g11
(lp11192
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}
p11193
sg15
L3L
sass(g1693
g11083
g11172
L3L
tp11194
(dp11195
g6
Va . b
p11196
sg8
(lp11197
(dp11198
g11
(lp11199
sg13
Va.b
p11200
sg15
L4L
sass(g1693
g11083
VIdentityMatrix
p11201
L0L
tp11202
(dp11203
g6
VIdentityMatrix[3]
p11204
sg8
(lp11205
(dp11206
g11
(lp11207
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}
p11208
sg15
L1L
sass(g1693
g11083
VInner
p11209
L0L
tp11210
(dp11211
g6
VInner[f, {a, b}, {x, y}, g]
p11212
sg8
(lp11213
(dp11214
g11
(lp11215
sg13
Vg\u005cleft[f\u005cleft[a,x\u005cright],f\u005cleft[b,y\u005cright]\u005cright]
p11216
sg15
L1L
sass(g1693
g11083
g11209
L1L
tp11217
(dp11218
g6
VInner[Times, {a, b}, {c, d}, Plus] == {a, b} . {c, d}
p11219
sg8
(lp11220
(dp11221
g11
(lp11222
sg13
V\u005ctext{True}
p11223
sg15
L2L
sass(g1693
g11083
g11209
L2L
tp11224
(dp11225
g6
VInner[And, {{False, False}, {False, True}}, {{True, False}, {True, True}}, Or]
p11226
sg8
(lp11227
(dp11228
g11
(lp11229
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{False},\u005ctext{False}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c}\u005cright\u005c}
p11230
sg15
L3L
sass(g1693
g11083
g11209
L3L
tp11231
(dp11232
g6
VInner[f, {{{a, b}}, {{c, d}}}, {{1}, {2}}, g]
p11233
sg8
(lp11234
(dp11235
g11
(lp11236
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}
p11237
sg15
L4L
sass(g1693
g11083
VMatrixQ
p11238
L0L
tp11239
(dp11240
g6
VMatrixQ[{{1, 3}, {4.0, 3/2}}, NumberQ]
p11241
sg8
(lp11242
(dp11243
g11
(lp11244
sg13
V\u005ctext{True}
p11245
sg15
L1L
sass(g1693
g11083
VOuter
p11246
L0L
tp11247
(dp11248
g6
VOuter[f, {a, b}, {1, 2, 3}]
p11249
sg8
(lp11250
(dp11251
g11
(lp11252
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}
p11253
sg15
L1L
sass(g1693
g11083
g11246
L1L
tp11254
(dp11255
g6
VOuter[Times, {{a, b}, {c, d}}, {{1, 2}, {3, 4}}]
p11256
sg8
(lp11257
(dp11258
g11
(lp11259
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}
p11260
sg15
L2L
sass(g1693
g11083
g11246
L2L
tp11261
(dp11262
g6
VOuter[f, {a, b}, {x, y, z}, {1, 2}]
p11263
sg8
(lp11264
(dp11265
g11
(lp11266
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}
p11267
sg15
L3L
sass(g1693
g11083
g11246
L3L
tp11268
(dp11269
g6
VOuter[Times, {{1, 2}}, {{a, b}, {c, d, e}}]
p11270
sg8
(lp11271
(dp11272
g11
(lp11273
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}
p11274
sg15
L4L
sass(g1693
g11083
g11246
L4L
tp11275
(dp11276
g6
VOuter[StringJoin, {"", "re", "un"}, {"cover", "draw", "wind"}, {"", "ing", "s"}] // InputForm
p11277
sg8
(lp11278
(dp11279
g11
(lp11280
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}
p11281
sg15
L5L
sass(g1693
g11083
g11246
L5L
tp11282
(dp11283
g6
Vtrigs = Outer[Composition, {Sin, Cos, Tan}, {ArcSin, ArcCos, ArcTan}]
p11284
sg8
(lp11285
(dp11286
g11
(lp11287
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}
p11288
sg15
L6L
sass(g1693
g11083
g11246
L6L
tp11289
(dp11290
g6
VMap[#[0] &, trigs, {2}]
p11291
sg8
(lp11292
(dp11293
g11
(lp11294
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}
p11295
sg15
L7L
sass(g1693
g11083
VTranspose
p11296
L0L
tp11297
(dp11298
g6
VTranspose[{{1, 2, 3}, {4, 5, 6}}]
p11299
sg8
(lp11300
(dp11301
g11
(lp11302
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,4\u005cright\u005c},\u005cleft\u005c{2,5\u005cright\u005c},\u005cleft\u005c{3,6\u005cright\u005c}\u005cright\u005c}
p11303
sg15
L1L
sass(g1693
g11083
g11296
L1L
tp11304
(dp11305
g6
VMatrixForm[%]
p11306
sg8
(lp11307
(dp11308
g11
(lp11309
sg13
V\u005cleft(\u005cbegin{array}{cc} 1 & 4\u005c\u005c 2 & 5\u005c\u005c 3 & 6\u005cend{array}\u005cright)
p11310
sg15
L2L
sass(g1693
g11083
VVectorQ
p11311
L0L
tp11312
(dp11313
g6
VVectorQ[{a, b, c}]
p11314
sg8
(lp11315
(dp11316
g11
(lp11317
sg13
V\u005ctext{True}
p11318
sg15
L1L
sass(g1693
VStructure
p11319
VApply
p11320
L0L
tp11321
(dp11322
g6
Vf @@ {1, 2, 3}
p11323
sg8
(lp11324
(dp11325
g11
(lp11326
sg13
Vf\u005cleft[1,2,3\u005cright]
p11327
sg15
L1L
sass(g1693
g11319
g11320
L1L
tp11328
(dp11329
g6
VPlus @@ {1, 2, 3}
p11330
sg8
(lp11331
(dp11332
g11
(lp11333
sg13
V6
p11334
sg15
L2L
sass(g1693
g11319
g11320
L2L
tp11335
(dp11336
g6
Vf @@ (a + b + c)
p11337
sg8
(lp11338
(dp11339
g11
(lp11340
sg13
Vf\u005cleft[a,b,c\u005cright]
p11341
sg15
L3L
sass(g1693
g11319
g11320
L3L
tp11342
(dp11343
g6
VApply[f, {a + b, g[c, d, e * f], 3}, {1}]
p11344
sg8
(lp11345
(dp11346
g11
(lp11347
sg13
V\u005cleft\u005c{f\u005cleft[a,b\u005cright],f\u005cleft[c,d,e f\u005cright],3\u005cright\u005c}
p11348
sg15
L4L
sass(g1693
g11319
g11320
L4L
tp11349
(dp11350
g6
VApply[f, {a, b, c}, {0}]
p11351
sg8
(lp11352
(dp11353
g11
(lp11354
sg13
Vf\u005cleft[a,b,c\u005cright]
p11355
sg15
L5L
sass(g1693
g11319
g11320
L5L
tp11356
(dp11357
g6
VApply[f, {{{{{a}}}}}, {2, -3}]
p11358
sg8
(lp11359
(dp11360
g11
(lp11361
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[f\u005cleft[\u005cleft\u005c{a\u005cright\u005c}\u005cright]\u005cright]\u005cright\u005c}\u005cright\u005c}
p11362
sg15
L6L
sass(g1693
g11319
g11320
L6L
tp11363
(dp11364
g6
VApply[List, a + b * c ^ e * f[g], {0, Infinity}]
p11365
sg8
(lp11366
(dp11367
g11
(lp11368
sg13
V\u005cleft\u005c{a,\u005cleft\u005c{b,\u005cleft\u005c{g\u005cright\u005c},\u005cleft\u005c{c,e\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p11369
sg15
L7L
sass(g1693
g11319
VApplyLevel
p11370
L0L
tp11371
(dp11372
g6
Vf @@@ {{a, b}, {c, d}}
p11373
sg8
(lp11374
(dp11375
g11
(lp11376
sg13
V\u005cleft\u005c{f\u005cleft[a,b\u005cright],f\u005cleft[c,d\u005cright]\u005cright\u005c}
p11377
sg15
L1L
sass(g1693
g11319
VAtomQ
p11378
L0L
tp11379
(dp11380
g6
VAtomQ[x]
p11381
sg8
(lp11382
(dp11383
g11
(lp11384
sg13
V\u005ctext{True}
p11385
sg15
L1L
sass(g1693
g11319
g11378
L1L
tp11386
(dp11387
g6
VAtomQ[1.2]
p11388
sg8
(lp11389
(dp11390
g11
(lp11391
sg13
V\u005ctext{True}
p11392
sg15
L2L
sass(g1693
g11319
g11378
L2L
tp11393
(dp11394
g6
VAtomQ[2 + I]
p11395
sg8
(lp11396
(dp11397
g11
(lp11398
sg13
V\u005ctext{True}
p11399
sg15
L3L
sass(g1693
g11319
g11378
L3L
tp11400
(dp11401
g6
VAtomQ[2 / 3]
p11402
sg8
(lp11403
(dp11404
g11
(lp11405
sg13
V\u005ctext{True}
p11406
sg15
L4L
sass(g1693
g11319
g11378
L4L
tp11407
(dp11408
g6
VAtomQ[x + y]
p11409
sg8
(lp11410
(dp11411
g11
(lp11412
sg13
V\u005ctext{False}
p11413
sg15
L5L
sass(g1693
g11319
VCombinatoricaOld`BinarySearch
p11414
L0L
tp11415
(dp11416
g6
VCombinatoricaOld`BinarySearch[{3, 4, 10, 100, 123}, 100]
p11417
sg8
(lp11418
(dp11419
g11
(lp11420
sg13
V4
p11421
sg15
L1L
sass(g1693
g11319
g11414
L1L
tp11422
(dp11423
g6
VCombinatoricaOld`BinarySearch[{2, 3, 9}, 7] // N
p11424
sg8
(lp11425
(dp11426
g11
(lp11427
sg13
V2.5
p11428
sg15
L2L
sass(g1693
g11319
g11414
L2L
tp11429
(dp11430
g6
VCombinatoricaOld`BinarySearch[{2, 7, 9, 10}, 3] // N
p11431
sg8
(lp11432
(dp11433
g11
(lp11434
sg13
V1.5
p11435
sg15
L3L
sass(g1693
g11319
g11414
L3L
tp11436
(dp11437
g6
VCombinatoricaOld`BinarySearch[{-10, 5, 8, 10}, -100] // N
p11438
sg8
(lp11439
(dp11440
g11
(lp11441
sg13
V0.5
p11442
sg15
L4L
sass(g1693
g11319
g11414
L4L
tp11443
(dp11444
g6
VCombinatoricaOld`BinarySearch[{-10, 5, 8, 10}, 20] // N
p11445
sg8
(lp11446
(dp11447
g11
(lp11448
sg13
V4.5
p11449
sg15
L5L
sass(g1693
g11319
g11414
L5L
tp11450
(dp11451
g6
VCombinatoricaOld`BinarySearch[{{a, 1}, {b, 7}}, 7, #[[2]]&]
p11452
sg8
(lp11453
(dp11454
g11
(lp11455
sg13
V2
p11456
sg15
L6L
sass(g1693
g11319
VDepth
p11457
L0L
tp11458
(dp11459
g6
VDepth[x]
p11460
sg8
(lp11461
(dp11462
g11
(lp11463
sg13
V1
p11464
sg15
L1L
sass(g1693
g11319
g11457
L1L
tp11465
(dp11466
g6
VDepth[x + y]
p11467
sg8
(lp11468
(dp11469
g11
(lp11470
sg13
V2
p11471
sg15
L2L
sass(g1693
g11319
g11457
L2L
tp11472
(dp11473
g6
VDepth[{{{{x}}}}]
p11474
sg8
(lp11475
(dp11476
g11
(lp11477
sg13
V5
p11478
sg15
L3L
sass(g1693
g11319
g11457
L3L
tp11479
(dp11480
g6
VDepth[1 + 2 I]
p11481
sg8
(lp11482
(dp11483
g11
(lp11484
sg13
V1
p11485
sg15
L4L
sass(g1693
g11319
g11457
L4L
tp11486
(dp11487
g6
VDepth[f[a, b][c]]
p11488
sg8
(lp11489
(dp11490
g11
(lp11491
sg13
V2
p11492
sg15
L5L
sass(g1693
g11319
VFlatten
p11493
L0L
tp11494
(dp11495
g6
VFlatten[{{a, b}, {c, {d}, e}, {f, {g, h}}}]
p11496
sg8
(lp11497
(dp11498
g11
(lp11499
sg13
V\u005cleft\u005c{a,b,c,d,e,f,g,h\u005cright\u005c}
p11500
sg15
L1L
sass(g1693
g11319
g11493
L1L
tp11501
(dp11502
g6
VFlatten[{{a, b}, {c, {e}, e}, {f, {g, h}}}, 1]
p11503
sg8
(lp11504
(dp11505
g11
(lp11506
sg13
V\u005cleft\u005c{a,b,c,\u005cleft\u005c{e\u005cright\u005c},e,f,\u005cleft\u005c{g,h\u005cright\u005c}\u005cright\u005c}
p11507
sg15
L2L
sass(g1693
g11319
g11493
L2L
tp11508
(dp11509
g6
VFlatten[f[a, f[b, f[c, d]], e], Infinity, f]
p11510
sg8
(lp11511
(dp11512
g11
(lp11513
sg13
Vf\u005cleft[a,b,c,d,e\u005cright]
p11514
sg15
L3L
sass(g1693
g11319
g11493
L3L
tp11515
(dp11516
g6
VFlatten[{{a, b}, {c, d}}, {{2}, {1}}]
p11517
sg8
(lp11518
(dp11519
g11
(lp11520
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,c\u005cright\u005c},\u005cleft\u005c{b,d\u005cright\u005c}\u005cright\u005c}
p11521
sg15
L4L
sass(g1693
g11319
g11493
L4L
tp11522
(dp11523
g6
VFlatten[{{a, b}, {c, d}}, {{1, 2}}]
p11524
sg8
(lp11525
(dp11526
g11
(lp11527
sg13
V\u005cleft\u005c{a,b,c,d\u005cright\u005c}
p11528
sg15
L5L
sass(g1693
g11319
g11493
L5L
tp11529
(dp11530
g6
VFlatten[{{1, 2, 3}, {4}, {6, 7}, {8, 9, 10}}, {{2}, {1}}]
p11531
sg8
(lp11532
(dp11533
g11
(lp11534
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}
p11535
sg15
L6L
sass(g1693
g11319
VFreeQ
p11536
L0L
tp11537
(dp11538
g6
VFreeQ[y, x]
p11539
sg8
(lp11540
(dp11541
g11
(lp11542
sg13
V\u005ctext{True}
p11543
sg15
L1L
sass(g1693
g11319
g11536
L1L
tp11544
(dp11545
g6
VFreeQ[a+b+c, a+b]
p11546
sg8
(lp11547
(dp11548
g11
(lp11549
sg13
V\u005ctext{False}
p11550
sg15
L2L
sass(g1693
g11319
g11536
L2L
tp11551
(dp11552
g6
VFreeQ[{1, 2, a^(a+b)}, Plus]
p11553
sg8
(lp11554
(dp11555
g11
(lp11556
sg13
V\u005ctext{False}
p11557
sg15
L3L
sass(g1693
g11319
g11536
L3L
tp11558
(dp11559
g6
VFreeQ[a+b, x_+y_+z_]
p11560
sg8
(lp11561
(dp11562
g11
(lp11563
sg13
V\u005ctext{True}
p11564
sg15
L4L
sass(g1693
g11319
g11536
L4L
tp11565
(dp11566
g6
VFreeQ[a+b+c, x_+y_+z_]
p11567
sg8
(lp11568
(dp11569
g11
(lp11570
sg13
V\u005ctext{False}
p11571
sg15
L5L
sass(g1693
g11319
g11536
L5L
tp11572
(dp11573
g6
VFreeQ[x_+y_+z_][a+b]
p11574
sg8
(lp11575
(dp11576
g11
(lp11577
sg13
V\u005ctext{True}
p11578
sg15
L6L
sass(g1693
g11319
VHead
p11579
L0L
tp11580
(dp11581
g6
VHead[a * b]
p11582
sg8
(lp11583
(dp11584
g11
(lp11585
sg13
V\u005ctext{Times}
p11586
sg15
L1L
sass(g1693
g11319
g11579
L1L
tp11587
(dp11588
g6
VHead[6]
p11589
sg8
(lp11590
(dp11591
g11
(lp11592
sg13
V\u005ctext{Integer}
p11593
sg15
L2L
sass(g1693
g11319
g11579
L2L
tp11594
(dp11595
g6
VHead[x]
p11596
sg8
(lp11597
(dp11598
g11
(lp11599
sg13
V\u005ctext{Symbol}
p11600
sg15
L3L
sass(g1693
g11319
VMap
p11601
L0L
tp11602
(dp11603
g6
Vf /@ {1, 2, 3}
p11604
sg8
(lp11605
(dp11606
g11
(lp11607
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright]\u005cright\u005c}
p11608
sg15
L1L
sass(g1693
g11319
g11601
L1L
tp11609
(dp11610
g6
V#^2& /@ {1, 2, 3, 4}
p11611
sg8
(lp11612
(dp11613
g11
(lp11614
sg13
V\u005cleft\u005c{1,4,9,16\u005cright\u005c}
p11615
sg15
L2L
sass(g1693
g11319
g11601
L2L
tp11616
(dp11617
g6
VMap[f, {{a, b}, {c, d, e}}, {2}]
p11618
sg8
(lp11619
(dp11620
g11
(lp11621
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}
p11622
sg15
L3L
sass(g1693
g11319
g11601
L3L
tp11623
(dp11624
g6
VMap[f, a + b + c, Heads->True]
p11625
sg8
(lp11626
(dp11627
g11
(lp11628
sg13
Vf\u005cleft[\u005ctext{Plus}\u005cright]\u005cleft[f\u005cleft[a\u005cright],f\u005cleft[b\u005cright],f\u005cleft[c\u005cright]\u005cright]
p11629
sg15
L4L
sass(g1693
g11319
VMapAt
p11630
L0L
tp11631
(dp11632
g6
VMapAt[f, {a, b, c, d}, 2]
p11633
sg8
(lp11634
(dp11635
g11
(lp11636
sg13
V\u005cleft\u005c{a,f\u005cleft[b\u005cright],c,d\u005cright\u005c}
p11637
sg15
L1L
sass(g1693
g11319
g11630
L1L
tp11638
(dp11639
g6
VMapAt[f, {a, b, c, d}, {{1}, {4}}]
p11640
sg8
(lp11641
(dp11642
g11
(lp11643
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],b,c,f\u005cleft[d\u005cright]\u005cright\u005c}
p11644
sg15
L2L
sass(g1693
g11319
g11630
L2L
tp11645
(dp11646
g6
VMapAt[f, {a, b, c, d}, -1]
p11647
sg8
(lp11648
(dp11649
g11
(lp11650
sg13
V\u005cleft\u005c{a,b,c,f\u005cleft[d\u005cright]\u005cright\u005c}
p11651
sg15
L3L
sass(g1693
g11319
g11630
L3L
tp11652
(dp11653
g6
VMapAt[f, <|"a" -> 1, "b" -> 2, "c" -> 3, "d" -> 4, "e" -> 5|>, 3]
p11654
sg8
(lp11655
(dp11656
g11
(lp11657
sg13
V\u005cleft\u005c{\u005ctext{a}->1,\u005ctext{b}->2,\u005ctext{c}->f\u005cleft[3\u005cright],\u005ctext{d}->4,\u005ctext{e}->5\u005cright\u005c}
p11658
sg15
L4L
sass(g1693
g11319
g11630
L4L
tp11659
(dp11660
g6
VMapAt[f, <|"a" -> 1, "b" -> 2, "c" -> 3, "d" -> 4|>, -3]
p11661
sg8
(lp11662
(dp11663
g11
(lp11664
sg13
V\u005cleft\u005c{\u005ctext{a}->1,\u005ctext{b}->f\u005cleft[2\u005cright],\u005ctext{c}->3,\u005ctext{d}->4\u005cright\u005c}
p11665
sg15
L5L
sass(g1693
g11319
g11630
L5L
tp11666
(dp11667
g6
VMapAt[f, 1][{a, b, c, d}]
p11668
sg8
(lp11669
(dp11670
g11
(lp11671
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],b,c,d\u005cright\u005c}
p11672
sg15
L6L
sass(g1693
g11319
VMapIndexed
p11673
L0L
tp11674
(dp11675
g6
VMapIndexed[f, {a, b, c}]
p11676
sg8
(lp11677
(dp11678
g11
(lp11679
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}
p11680
sg15
L1L
sass(g1693
g11319
g11673
L1L
tp11681
(dp11682
g6
VMapIndexed[f, {a, b, c}, Heads->True]
p11683
sg8
(lp11684
(dp11685
g11
(lp11686
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]
p11687
sg15
L2L
sass(g1693
g11319
g11673
L2L
tp11688
(dp11689
g6
VMapIndexed[f, a + b + c * d, {0, 1}]
p11690
sg8
(lp11691
(dp11692
g11
(lp11693
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]
p11694
sg15
L3L
sass(g1693
g11319
g11673
L3L
tp11695
(dp11696
g6
Vexpr = a + b * f[g] * c ^ e;
p11697
sg8
(lp11698
(dp11699
g11
(lp11700
sg13
Nsg15
L4L
sass(g1693
g11319
g11673
L4L
tp11701
(dp11702
g6
Vlistified = Apply[List, expr, {0, Infinity}];
p11703
sg8
(lp11704
(dp11705
g11
(lp11706
sg13
Nsg15
L5L
sass(g1693
g11319
g11673
L5L
tp11707
(dp11708
g6
VMapIndexed[#2 &, listified, {-1}]
p11709
sg8
(lp11710
(dp11711
g11
(lp11712
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}
p11713
sg15
L6L
sass(g1693
g11319
g11673
L6L
tp11714
(dp11715
g6
VMapIndexed[#2 &, listified, {-1}, Heads -> True]
p11716
sg8
(lp11717
(dp11718
g11
(lp11719
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]
p11720
sg15
L7L
sass(g1693
g11319
g11673
L7L
tp11721
(dp11722
g6
VMapIndexed[Extract[expr, #2] &, listified, {-1}, Heads -> True]
p11723
sg8
(lp11724
(dp11725
g11
(lp11726
sg13
Va+b f\u005cleft[g\u005cright] c^e
p11727
sg15
L8L
sass(g1693
g11319
VMapThread
p11728
L0L
tp11729
(dp11730
g6
VMapThread[f, {{a, b, c}, {1, 2, 3}}]
p11731
sg8
(lp11732
(dp11733
g11
(lp11734
sg13
V\u005cleft\u005c{f\u005cleft[a,1\u005cright],f\u005cleft[b,2\u005cright],f\u005cleft[c,3\u005cright]\u005cright\u005c}
p11735
sg15
L1L
sass(g1693
g11319
g11728
L1L
tp11736
(dp11737
g6
VMapThread[f, {{{a, b}, {c, d}}, {{e, f}, {g, h}}}, 2]
p11738
sg8
(lp11739
(dp11740
g11
(lp11741
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}
p11742
sg15
L2L
sass(g1693
g11319
VNull
p11743
L0L
tp11744
(dp11745
g6
VFullForm[a:=b]
p11746
sg8
(lp11747
(dp11748
g11
(lp11749
sg13
V\u005ctext{Null}
p11750
sg15
L1L
sass(g1693
g11319
g11743
L1L
tp11751
(dp11752
g6
Va:=b
p11753
sg8
(lp11754
(dp11755
g11
(lp11756
sg13
Nsg15
L2L
sass(g1693
g11319
g11743
L2L
tp11757
(dp11758
g6
V""
p11759
sg8
(lp11760
(dp11761
g11
(lp11762
sg13
V\u005ctext{}
p11763
sg15
L3L
sass(g1693
g11319
VOperate
p11764
L0L
tp11765
(dp11766
g6
VOperate[p, f[a, b]]
p11767
sg8
(lp11768
(dp11769
g11
(lp11770
sg13
Vp\u005cleft[f\u005cright]\u005cleft[a,b\u005cright]
p11771
sg15
L1L
sass(g1693
g11319
g11764
L1L
tp11772
(dp11773
g6
VOperate[p, f[a, b], 1]
p11774
sg8
(lp11775
(dp11776
g11
(lp11777
sg13
Vp\u005cleft[f\u005cright]\u005cleft[a,b\u005cright]
p11778
sg15
L2L
sass(g1693
g11319
g11764
L2L
tp11779
(dp11780
g6
VOperate[p, f[a][b][c], 0]
p11781
sg8
(lp11782
(dp11783
g11
(lp11784
sg13
Vp\u005cleft[f\u005cleft[a\u005cright]\u005cleft[b\u005cright]\u005cleft[c\u005cright]\u005cright]
p11785
sg15
L3L
sass(g1693
g11319
VOrder
p11786
L0L
tp11787
(dp11788
g6
VOrder[7, 11]
p11789
sg8
(lp11790
(dp11791
g11
(lp11792
sg13
V1
p11793
sg15
L1L
sass(g1693
g11319
g11786
L1L
tp11794
(dp11795
g6
VOrder[100, 10]
p11796
sg8
(lp11797
(dp11798
g11
(lp11799
sg13
V-1
p11800
sg15
L2L
sass(g1693
g11319
g11786
L2L
tp11801
(dp11802
g6
VOrder[x, z]
p11803
sg8
(lp11804
(dp11805
g11
(lp11806
sg13
V1
p11807
sg15
L3L
sass(g1693
g11319
g11786
L3L
tp11808
(dp11809
g6
VOrder[x, x]
p11810
sg8
(lp11811
(dp11812
g11
(lp11813
sg13
V0
p11814
sg15
L4L
sass(g1693
g11319
VOrderedQ
p11815
L0L
tp11816
(dp11817
g6
VOrderedQ[a, b]
p11818
sg8
(lp11819
(dp11820
g11
(lp11821
sg13
V\u005ctext{True}
p11822
sg15
L1L
sass(g1693
g11319
g11815
L1L
tp11823
(dp11824
g6
VOrderedQ[b, a]
p11825
sg8
(lp11826
(dp11827
g11
(lp11828
sg13
V\u005ctext{False}
p11829
sg15
L2L
sass(g1693
g11319
VPatternsOrderedQ
p11830
L0L
tp11831
(dp11832
g6
VPatternsOrderedQ[x__, x_]
p11833
sg8
(lp11834
(dp11835
g11
(lp11836
sg13
V\u005ctext{False}
p11837
sg15
L1L
sass(g1693
g11319
g11830
L1L
tp11838
(dp11839
g6
VPatternsOrderedQ[x_, x__]
p11840
sg8
(lp11841
(dp11842
g11
(lp11843
sg13
V\u005ctext{True}
p11844
sg15
L2L
sass(g1693
g11319
g11830
L2L
tp11845
(dp11846
g6
VPatternsOrderedQ[b, a]
p11847
sg8
(lp11848
(dp11849
g11
(lp11850
sg13
V\u005ctext{True}
p11851
sg15
L3L
sass(g1693
g11319
VScan
p11852
L0L
tp11853
(dp11854
g6
VScan[Print, {1, 2, 3}]
p11855
sg8
(lp11856
(dp11857
g11
(lp11858
(dp11859
g149
I00
sg156
V1
p11860
sa(dp11861
g149
I00
sg156
V2
p11862
sa(dp11863
g149
I00
sg156
V3
p11864
sasg13
Nsg15
L1L
sass(g1693
g11319
VSort
p11865
L0L
tp11866
(dp11867
g6
VSort[{4, 1.0, a, 3+I}]
p11868
sg8
(lp11869
(dp11870
g11
(lp11871
sg13
V\u005cleft\u005c{1.,3+I,4,a\u005cright\u005c}
p11872
sg15
L1L
sass(g1693
g11319
g11865
L1L
tp11873
(dp11874
g6
VSort[{items___, item_, OptionsPattern[], item_symbol, item_?test}, PatternsOrderedQ]
p11875
sg8
(lp11876
(dp11877
g11
(lp11878
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}
p11879
sg15
L2L
sass(g1693
g11319
g11865
L2L
tp11880
(dp11881
g6
VSort[{a, b/;t}, PatternsOrderedQ]
p11882
sg8
(lp11883
(dp11884
g11
(lp11885
sg13
V\u005cleft\u005c{b\u005ctext{/;}t,a\u005cright\u005c}
p11886
sg15
L3L
sass(g1693
g11319
g11865
L3L
tp11887
(dp11888
g6
VSort[{2+c_, 1+b__}, PatternsOrderedQ]
p11889
sg8
(lp11890
(dp11891
g11
(lp11892
sg13
V\u005cleft\u005c{2+\u005ctext{c\u005c_},1+\u005ctext{b\u005c_\u005c_}\u005cright\u005c}
p11893
sg15
L4L
sass(g1693
g11319
g11865
L4L
tp11894
(dp11895
g6
VSort[{x_ + n_*y_, x_ + y_}, PatternsOrderedQ]
p11896
sg8
(lp11897
(dp11898
g11
(lp11899
sg13
V\u005cleft\u005c{\u005ctext{x\u005c_}+\u005ctext{n\u005c_} \u005ctext{y\u005c_},\u005ctext{x\u005c_}+\u005ctext{y\u005c_}\u005cright\u005c}
p11900
sg15
L5L
sass(g1693
g11319
VSortBy
p11901
L0L
tp11902
(dp11903
g6
VSortBy[{{5, 1}, {10, -1}}, Last]
p11904
sg8
(lp11905
(dp11906
g11
(lp11907
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,-1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p11908
sg15
L1L
sass(g1693
g11319
g11901
L1L
tp11909
(dp11910
g6
VSortBy[Total][{{5, 1}, {10, -9}}]
p11911
sg8
(lp11912
(dp11913
g11
(lp11914
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,-9\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p11915
sg15
L2L
sass(g1693
g11319
VSymbolName
p11916
L0L
tp11917
(dp11918
g6
VSymbolName[x] // InputForm
p11919
sg8
(lp11920
(dp11921
g11
(lp11922
sg13
V\u005ctext{"x"}
p11923
sg15
L1L
sass(g1693
g11319
VSymbolQ
p11924
L0L
tp11925
(dp11926
g6
VSymbolQ[a]
p11927
sg8
(lp11928
(dp11929
g11
(lp11930
sg13
V\u005ctext{True}
p11931
sg15
L1L
sass(g1693
g11319
g11924
L1L
tp11932
(dp11933
g6
VSymbolQ[1]
p11934
sg8
(lp11935
(dp11936
g11
(lp11937
sg13
V\u005ctext{False}
p11938
sg15
L2L
sass(g1693
g11319
g11924
L2L
tp11939
(dp11940
g6
VSymbolQ[a + b]
p11941
sg8
(lp11942
(dp11943
g11
(lp11944
sg13
V\u005ctext{False}
p11945
sg15
L3L
sass(g1693
g11319
VSymbol
p11946
L0L
tp11947
(dp11948
g6
VHead[x]
p11949
sg8
(lp11950
(dp11951
g11
(lp11952
sg13
V\u005ctext{Symbol}
p11953
sg15
L1L
sass(g1693
g11319
g11946
L1L
tp11954
(dp11955
g6
VSymbol["x"] + Symbol["x"]
p11956
sg8
(lp11957
(dp11958
g11
(lp11959
sg13
V2 x
p11960
sg15
L2L
sass(g1693
g11319
VThread
p11961
L0L
tp11962
(dp11963
g6
VThread[f[{a, b, c}]]
p11964
sg8
(lp11965
(dp11966
g11
(lp11967
sg13
V\u005cleft\u005c{f\u005cleft[a\u005cright],f\u005cleft[b\u005cright],f\u005cleft[c\u005cright]\u005cright\u005c}
p11968
sg15
L1L
sass(g1693
g11319
g11961
L1L
tp11969
(dp11970
g6
VThread[f[{a, b, c}, t]]
p11971
sg8
(lp11972
(dp11973
g11
(lp11974
sg13
V\u005cleft\u005c{f\u005cleft[a,t\u005cright],f\u005cleft[b,t\u005cright],f\u005cleft[c,t\u005cright]\u005cright\u005c}
p11975
sg15
L2L
sass(g1693
g11319
g11961
L2L
tp11976
(dp11977
g6
VThread[f[a + b + c], Plus]
p11978
sg8
(lp11979
(dp11980
g11
(lp11981
sg13
Vf\u005cleft[a\u005cright]+f\u005cleft[b\u005cright]+f\u005cleft[c\u005cright]
p11982
sg15
L3L
sass(g1693
g11319
g11961
L3L
tp11983
(dp11984
g6
V{a, b, c} + {d, e, f} + g
p11985
sg8
(lp11986
(dp11987
g11
(lp11988
sg13
V\u005cleft\u005c{a+d+g,b+e+g,c+f+g\u005cright\u005c}
p11989
sg15
L4L
sass(g1693
g11319
VThrough
p11990
L0L
tp11991
(dp11992
g6
VThrough[f[g][x]]
p11993
sg8
(lp11994
(dp11995
g11
(lp11996
sg13
Vf\u005cleft[g\u005cleft[x\u005cright]\u005cright]
p11997
sg15
L1L
sass(g1693
g11319
g11990
L1L
tp11998
(dp11999
g6
VThrough[p[f, g][x]]
p12000
sg8
(lp12001
(dp12002
g11
(lp12003
sg13
Vp\u005cleft[f\u005cleft[x\u005cright],g\u005cleft[x\u005cright]\u005cright]
p12004
sg15
L2L
sass(g1693
VExponential, Trigonometric and Hyperbolic Functions
p12005
VAnglePath
p12006
L0L
tp12007
(dp12008
g6
VAnglePath[{90 Degree, 90 Degree, 90 Degree, 90 Degree}]
p12009
sg8
(lp12010
(dp12011
g11
(lp12012
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}
p12013
sg15
L1L
sass(g1693
g12005
g12006
L1L
tp12014
(dp12015
g6
VAnglePath[{{1, 1}, 90 Degree}, {{1, 90 Degree}, {2, 90 Degree}, {1, 90 Degree}, {2, 90 Degree}}]
p12016
sg8
(lp12017
(dp12018
g11
(lp12019
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}
p12020
sg15
L2L
sass(g1693
g12005
g12006
L2L
tp12021
(dp12022
g6
VAnglePath[{a, b}]
p12023
sg8
(lp12024
(dp12025
g11
(lp12026
sg13
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p12027
sg15
L3L
sass(g1693
g12005
g12006
L3L
tp12028
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g6
VPrecision[Part[AnglePath[{N[1/3, 100], N[2/3, 100]}], 2, 1]]
p12030
sg8
(lp12031
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g11
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V100.
p12034
sg15
L4L
sass(g1693
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g12006
L4L
tp12035
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g6
VGraphics[Line[AnglePath[Table[1.7, {50}]]]]
p12037
sg8
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g11
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p12041
sg15
L5L
sass(g1693
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g12006
L5L
tp12042
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g6
VGraphics[Line[AnglePath[RandomReal[{-1, 1}, {100}]]]]
p12044
sg8
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g11
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sg13
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p12048
sg15
L6L
sass(g1693
g12005
VAngleVector
p12049
L0L
tp12050
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g6
VAngleVector[90 Degree]
p12052
sg8
(lp12053
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g11
(lp12055
sg13
V\u005cleft\u005c{0,1\u005cright\u005c}
p12056
sg15
L1L
sass(g1693
g12005
g12049
L1L
tp12057
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g6
VAngleVector[{1, 10}, a]
p12059
sg8
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g11
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sg13
V\u005cleft\u005c{1+\u005ctext{Cos}\u005cleft[a\u005cright],10+\u005ctext{Sin}\u005cleft[a\u005cright]\u005cright\u005c}
p12063
sg15
L2L
sass(g1693
g12005
VArcCos
p12064
L0L
tp12065
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g6
VArcCos[1]
p12067
sg8
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p12071
sg15
L1L
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L1L
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g6
VArcCos[0]
p12074
sg8
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g11
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sg13
V\u005cfrac{\u005ctext{Pi}}{2}
p12078
sg15
L2L
sass(g1693
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g12064
L2L
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g6
VIntegrate[ArcCos[x], {x, -1, 1}]
p12081
sg8
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g11
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sg13
V\u005ctext{Pi}
p12085
sg15
L3L
sass(g1693
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VArcCosh
p12086
L0L
tp12087
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g6
VArcCosh[0]
p12089
sg8
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g11
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V\u005cfrac{I}{2} \u005ctext{Pi}
p12093
sg15
L1L
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VArcCosh[0.]
p12096
sg8
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V0.+1.5708 I
p12100
sg15
L2L
sass(g1693
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g12086
L2L
tp12101
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VArcCosh[0.00000000000000000000000000000000000000]
p12103
sg8
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sg13
V1.5707963267948966192313216916397514421 I
p12107
sg15
L3L
sass(g1693
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VArcCot
p12108
L0L
tp12109
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g6
VArcCot[0]
p12111
sg8
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p12115
sg15
L1L
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VArcCot[1]
p12118
sg8
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V\u005cfrac{\u005ctext{Pi}}{4}
p12122
sg15
L2L
sass(g1693
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VArcCoth
p12123
L0L
tp12124
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g6
VArcCoth[0]
p12126
sg8
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sg13
V\u005cfrac{I}{2} \u005ctext{Pi}
p12130
sg15
L1L
sass(g1693
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g12123
L1L
tp12131
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VArcCoth[1]
p12133
sg8
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L2L
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L2L
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VArcCoth[0.0]
p12139
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V0.+1.5708 I
p12143
sg15
L3L
sass(g1693
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L3L
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g6
VArcCoth[0.5]
p12146
sg8
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g11
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sg13
V0.549306-1.5708 I
p12150
sg15
L4L
sass(g1693
g12005
VArcCsc
p12151
L0L
tp12152
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g6
VArcCsc[1]
p12154
sg8
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g11
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sg13
V\u005cfrac{\u005ctext{Pi}}{2}
p12158
sg15
L1L
sass(g1693
g12005
g12151
L1L
tp12159
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g6
VArcCsc[-1]
p12161
sg8
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g11
(lp12164
sg13
V-\u005cfrac{\u005ctext{Pi}}{2}
p12165
sg15
L2L
sass(g1693
g12005
VArcCsch
p12166
L0L
tp12167
(dp12168
g6
VArcCsch[0]
p12169
sg8
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(dp12171
g11
(lp12172
sg13
V\u005ctext{ComplexInfinity}
p12173
sg15
L1L
sass(g1693
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g12166
L1L
tp12174
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g6
VArcCsch[1.0]
p12176
sg8
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g11
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sg13
V0.881374
p12180
sg15
L2L
sass(g1693
g12005
VArcSec
p12181
L0L
tp12182
(dp12183
g6
VArcSec[1]
p12184
sg8
(lp12185
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g11
(lp12187
sg13
V0
p12188
sg15
L1L
sass(g1693
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g12181
L1L
tp12189
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g6
VArcSec[-1]
p12191
sg8
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g11
(lp12194
sg13
V\u005ctext{Pi}
p12195
sg15
L2L
sass(g1693
g12005
VArcSech
p12196
L0L
tp12197
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g6
VArcSech[0]
p12199
sg8
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g11
(lp12202
sg13
g165
sg15
L1L
sass(g1693
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g12196
L1L
tp12203
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g6
VArcSech[1]
p12205
sg8
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g11
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sg13
V0
p12209
sg15
L2L
sass(g1693
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g12196
L2L
tp12210
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g6
VArcSech[0.5]
p12212
sg8
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g11
(lp12215
sg13
V1.31696
p12216
sg15
L3L
sass(g1693
g12005
VArcSin
p12217
L0L
tp12218
(dp12219
g6
VArcSin[0]
p12220
sg8
(lp12221
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g11
(lp12223
sg13
V0
p12224
sg15
L1L
sass(g1693
g12005
g12217
L1L
tp12225
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g6
VArcSin[1]
p12227
sg8
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(dp12229
g11
(lp12230
sg13
V\u005cfrac{\u005ctext{Pi}}{2}
p12231
sg15
L2L
sass(g1693
g12005
VArcSinh
p12232
L0L
tp12233
(dp12234
g6
VArcSinh[0]
p12235
sg8
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g11
(lp12238
sg13
V0
p12239
sg15
L1L
sass(g1693
g12005
g12232
L1L
tp12240
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g6
VArcSinh[0.]
p12242
sg8
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g11
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sg13
V0.
p12246
sg15
L2L
sass(g1693
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g12232
L2L
tp12247
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g6
VArcSinh[1.0]
p12249
sg8
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g11
(lp12252
sg13
V0.881374
p12253
sg15
L3L
sass(g1693
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VArcTan
p12254
L0L
tp12255
(dp12256
g6
VArcTan[1]
p12257
sg8
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g11
(lp12260
sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p12261
sg15
L1L
sass(g1693
g12005
g12254
L1L
tp12262
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g6
VArcTan[1.0]
p12264
sg8
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g11
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sg13
V0.785398
p12268
sg15
L2L
sass(g1693
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L2L
tp12269
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g6
VArcTan[-1.0]
p12271
sg8
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g11
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sg13
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p12275
sg15
L3L
sass(g1693
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L3L
tp12276
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g6
VArcTan[1, 1]
p12278
sg8
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g11
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sg13
V\u005cfrac{\u005ctext{Pi}}{4}
p12282
sg15
L4L
sass(g1693
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VArcTanh
p12283
L0L
tp12284
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g6
VArcTanh[0]
p12286
sg8
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g11
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sg13
V0
p12290
sg15
L1L
sass(g1693
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g12283
L1L
tp12291
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VArcTanh[1]
p12293
sg8
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g11
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sg13
g165
sg15
L2L
sass(g1693
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L2L
tp12297
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VArcTanh[0]
p12299
sg8
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p12303
sg15
L3L
sass(g1693
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L3L
tp12304
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g6
VArcTanh[.5 + 2 I]
p12306
sg8
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g11
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sg13
V0.0964156+1.12656 I
p12310
sg15
L4L
sass(g1693
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g12283
L4L
tp12311
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g6
VArcTanh[2 + I]
p12313
sg8
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g11
(lp12316
sg13
V\u005ctext{ArcTanh}\u005cleft[2+I\u005cright]
p12317
sg15
L5L
sass(g1693
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L0L
tp12319
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VCos[3 Pi]
p12321
sg8
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sg15
L1L
sass(g1693
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VCosh
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L0L
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VCosh[0]
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sg8
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p12333
sg15
L1L
sass(g1693
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p12334
L0L
tp12335
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VCot[0]
p12337
sg8
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g11
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sg13
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p12341
sg15
L1L
sass(g1693
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VCot[1.]
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sg8
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sg15
L2L
sass(g1693
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p12349
L0L
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VCoth[0]
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sg8
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p12356
sg15
L1L
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L0L
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p12364
sg15
L1L
sass(g1693
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L1L
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VCsc[1] (* Csc[1] in Mathematica *)
p12367
sg8
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V\u005cfrac{1}{\u005ctext{Sin}\u005cleft[1\u005cright]}
p12371
sg15
L2L
sass(g1693
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sg15
L3L
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p12379
L0L
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VCsch[0]
p12382
sg8
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V\u005ctext{ComplexInfinity}
p12386
sg15
L1L
sass(g1693
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VExp
p12387
L0L
tp12388
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VExp[1]
p12390
sg8
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p12394
sg15
L1L
sass(g1693
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VExp[10.0]
p12397
sg8
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p12401
sg15
L2L
sass(g1693
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VExp[x] //FullForm
p12404
sg8
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sg13
V\u005ctext{Power}\u005cleft[E, x\u005cright]
p12408
sg15
L3L
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VPlot[Exp[x], {x, 0, 3}]
p12411
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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), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,-2.71893)--(416,-2.71893), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$0.5$", (66.66666666666667,-5.38559608171709), (0,-1), rgb(0, 0, 0));\u000alabel("$1.0$", (133.33333333333334,-5.38559608171709), (0,-1), rgb(0, 0, 0));\u000alabel("$1.5$", (200.0,-5.38559608171709), (0,-1), rgb(0, 0, 0));\u000alabel("$2.0$", (266.6666666666667,-5.38559608171709), (0,-1), rgb(0, 0, 0));\u000alabel("$2.5$", (333.3333333333333,-5.38559608171709), (0,-1), rgb(0, 0, 0));\u000alabel("$3.0$", (400.0,-5.38559608171709), (0,-1), rgb(0, 0, 0));\u000adraw((66.667,-2.71893)--(66.667,3.94774), rgb(0, 0, 0)+linewidth(0.66667));draw((133.33,-2.71893)--(133.33,3.94774), rgb(0, 0, 0)+linewidth(0.66667));draw((200,-2.71893)--(200,3.94774), rgb(0, 0, 0)+linewidth(0.66667));draw((266.67,-2.71893)--(266.67,3.94774), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,-2.71893)--(333.33,3.94774), rgb(0, 0, 0)+linewidth(0.66667));draw((400,-2.71893)--(400,3.94774), rgb(0, 0, 0)+linewidth(0.66667));draw((13.333,-2.71893)--(13.333,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((26.667,-2.71893)--(26.667,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((40,-2.71893)--(40,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((53.333,-2.71893)--(53.333,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((80,-2.71893)--(80,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((93.333,-2.71893)--(93.333,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((106.67,-2.71893)--(106.67,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((120,-2.71893)--(120,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((146.67,-2.71893)--(146.67,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((160,-2.71893)--(160,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((173.33,-2.71893)--(173.33,1.28107), rgb(0, 0, 0)+linewidth(0.66667));draw((186.67,-2.71893)--(186.67,1.28107), rgb(0, 0, 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
p12415
sg15
L4L
sass(g1693
g12005
VHaversine
p12416
L0L
tp12417
(dp12418
g6
VHaversine[1.5]
p12419
sg8
(lp12420
(dp12421
g11
(lp12422
sg13
V0.464631
p12423
sg15
L1L
sass(g1693
g12005
g12416
L1L
tp12424
(dp12425
g6
VHaversine[0.5 + 2I]
p12426
sg8
(lp12427
(dp12428
g11
(lp12429
sg13
V-1.15082+0.869405 I
p12430
sg15
L2L
sass(g1693
g12005
VInverseHaversine
p12431
L0L
tp12432
(dp12433
g6
VInverseHaversine[0.5]
p12434
sg8
(lp12435
(dp12436
g11
(lp12437
sg13
V1.5708
p12438
sg15
L1L
sass(g1693
g12005
g12431
L1L
tp12439
(dp12440
g6
VInverseHaversine[1 + 2.5 I]
p12441
sg8
(lp12442
(dp12443
g11
(lp12444
sg13
V1.76459+2.33097 I
p12445
sg15
L2L
sass(g1693
g12005
VLog
p12446
L0L
tp12447
(dp12448
g6
VLog[{0, 1, E, E * E, E ^ 3, E ^ x}]
p12449
sg8
(lp12450
(dp12451
g11
(lp12452
sg13
V\u005cleft\u005c{-\u005cinfty ,0,1,2,3,\u005ctext{Log}\u005cleft[E^x\u005cright]\u005cright\u005c}
p12453
sg15
L1L
sass(g1693
g12005
g12446
L1L
tp12454
(dp12455
g6
VLog[0.]
p12456
sg8
(lp12457
(dp12458
g11
(lp12459
sg13
V\u005ctext{Indeterminate}
p12460
sg15
L2L
sass(g1693
g12005
g12446
L2L
tp12461
(dp12462
g6
VPlot[Log[x], {x, 0, 5}]
p12463
sg8
(lp12464
(dp12465
g11
(lp12466
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
p12467
sg15
L3L
sass(g1693
g12005
VLog10
p12468
L0L
tp12469
(dp12470
g6
VLog10[1000]
p12471
sg8
(lp12472
(dp12473
g11
(lp12474
sg13
V3
p12475
sg15
L1L
sass(g1693
g12005
g12468
L1L
tp12476
(dp12477
g6
VLog10[{2., 5.}]
p12478
sg8
(lp12479
(dp12480
g11
(lp12481
sg13
V\u005cleft\u005c{0.30103,0.69897\u005cright\u005c}
p12482
sg15
L2L
sass(g1693
g12005
g12468
L2L
tp12483
(dp12484
g6
VLog10[E ^ 3]
p12485
sg8
(lp12486
(dp12487
g11
(lp12488
sg13
V\u005cfrac{3}{\u005ctext{Log}\u005cleft[10\u005cright]}
p12489
sg15
L3L
sass(g1693
g12005
VLog2
p12490
L0L
tp12491
(dp12492
g6
VLog2[4 ^ 8]
p12493
sg8
(lp12494
(dp12495
g11
(lp12496
sg13
V16
p12497
sg15
L1L
sass(g1693
g12005
g12490
L1L
tp12498
(dp12499
g6
VLog2[5.6]
p12500
sg8
(lp12501
(dp12502
g11
(lp12503
sg13
V2.48543
p12504
sg15
L2L
sass(g1693
g12005
g12490
L2L
tp12505
(dp12506
g6
VLog2[E ^ 2]
p12507
sg8
(lp12508
(dp12509
g11
(lp12510
sg13
V\u005cfrac{2}{\u005ctext{Log}\u005cleft[2\u005cright]}
p12511
sg15
L3L
sass(g1693
g12005
VLogisticSigmoid
p12512
L0L
tp12513
(dp12514
g6
VLogisticSigmoid[0.5]
p12515
sg8
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g11
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V0.622459
p12519
sg15
L1L
sass(g1693
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g12512
L1L
tp12520
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g6
VLogisticSigmoid[0.5 + 2.3 I]
p12522
sg8
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(dp12524
g11
(lp12525
sg13
V1.06475+0.808177 I
p12526
sg15
L2L
sass(g1693
g12005
g12512
L2L
tp12527
(dp12528
g6
VLogisticSigmoid[{-0.2, 0.1, 0.3}]
p12529
sg8
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p12533
sg15
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p12534
L0L
tp12535
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p12537
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p12541
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L1L
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p12544
sg8
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g11
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sg13
V\u005cfrac{1}{\u005ctext{Cos}\u005cleft[1\u005cright]}
p12548
sg15
L2L
sass(g1693
g12005
g12534
L2L
tp12549
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g6
VSec[1.]
p12551
sg8
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g11
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sg13
V1.85082
p12555
sg15
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p12556
L0L
tp12557
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VSech[0]
p12559
sg8
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p12563
sg15
L1L
sass(g1693
g12005
VSin
p12564
L0L
tp12565
(dp12566
g6
VSin[0]
p12567
sg8
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g11
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V0
p12571
sg15
L1L
sass(g1693
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L1L
tp12572
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VSin[0.5]
p12574
sg8
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V0.479426
p12578
sg15
L2L
sass(g1693
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tp12579
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g6
VSin[3 Pi]
p12581
sg8
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p12585
sg15
L3L
sass(g1693
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tp12586
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g6
VSin[1.0 + I]
p12588
sg8
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g11
(lp12591
sg13
V1.29846+0.634964 I
p12592
sg15
L4L
sass(g1693
g12005
g12564
L4L
tp12593
(dp12594
g6
VPlot[Sin[x], {x, -Pi, Pi}]
p12595
sg8
(lp12596
(dp12597
g11
(lp12598
sg13
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0)+linewidth(0.66667));draw((327.32,123.607)--(327.32,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((390.99,123.607)--(390.99,130.273), rgb(0, 0, 0)+linewidth(0.66667));draw((-3.7183,123.607)--(-3.7183,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((21.746,123.607)--(21.746,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((34.479,123.607)--(34.479,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((47.211,123.607)--(47.211,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((59.944,123.607)--(59.944,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((85.408,123.607)--(85.408,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((98.141,123.607)--(98.141,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((110.87,123.607)--(110.87,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((123.61,123.607)--(123.61,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((149.07,123.607)--(149.07,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((161.8,123.607)--(161.8,127.607), rgb(0, 0, 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0)+linewidth(0.66667));draw((378.25,123.607)--(378.25,127.607), rgb(0, 0, 0)+linewidth(0.66667));draw((403.72,123.607)--(403.72,127.607), rgb(0, 0, 0)+linewidth(0.66667));\u000adraw((200,-12.9443)--(200,260.158), rgb(0, 0, 0)+linewidth(0.66667));\u000alabel("$-1.0$", (197.33333333333334,11.23698161363446), (-1,0), rgb(0, 0, 0));\u000alabel("$-0.5$", (197.33333333333334,67.42188968180672), (-1,0), rgb(0, 0, 0));\u000alabel("$0.5$", (197.33333333333334,179.7917058181512), (-1,0), rgb(0, 0, 0));\u000alabel("$1.0$", (197.33333333333334,235.97661388632346), (-1,0), rgb(0, 0, 0));\u000adraw((200,11.237)--(206.67,11.237), rgb(0, 0, 0)+linewidth(0.66667));draw((200,67.4219)--(206.67,67.4219), rgb(0, 0, 0)+linewidth(0.66667));draw((200,179.792)--(206.67,179.792), rgb(0, 0, 0)+linewidth(0.66667));draw((200,235.977)--(206.67,235.977), rgb(0, 0, 0)+linewidth(0.66667));draw((200,    0)--(204,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((200,22.474)--(204,22.474), rgb(0, 0, 0)+linewidth(0.66667));draw((200,33.7109)--(204,33.7109), rgb(0, 0, 0)+linewidth(0.66667));draw((200,44.9479)--(204,44.9479), rgb(0, 0, 0)+linewidth(0.66667));draw((200,56.1849)--(204,56.1849), rgb(0, 0, 0)+linewidth(0.66667));draw((200,78.6589)--(204,78.6589), rgb(0, 0, 0)+linewidth(0.66667));draw((200,89.8959)--(204,89.8959), rgb(0, 0, 0)+linewidth(0.66667));draw((200,101.133)--(204,101.133), rgb(0, 0, 0)+linewidth(0.66667));draw((200,112.37)--(204,112.37), rgb(0, 0, 0)+linewidth(0.66667));draw((200,134.844)--(204,134.844), rgb(0, 0, 0)+linewidth(0.66667));draw((200,146.081)--(204,146.081), rgb(0, 0, 0)+linewidth(0.66667));draw((200,157.318)--(204,157.318), rgb(0, 0, 0)+linewidth(0.66667));draw((200,168.555)--(204,168.555), rgb(0, 0, 0)+linewidth(0.66667));draw((200,191.029)--(204,191.029), rgb(0, 0, 0)+linewidth(0.66667));draw((200,202.266)--(204,202.266), rgb(0, 0, 0)+linewidth(0.66667));draw((200,213.503)--(204,213.503), rgb(0, 0, 0)+linewidth(0.66667));draw((200,224.74)--(204,224.74), rgb(0, 0, 0)+linewidth(0.66667));draw((200,247.214)--(204,247.214), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p12599
sg15
L5L
sass(g1693
g12005
VSinh
p12600
L0L
tp12601
(dp12602
g6
VSinh[0]
p12603
sg8
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g11
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V0
p12607
sg15
L1L
sass(g1693
g12005
VTan
p12608
L0L
tp12609
(dp12610
g6
VTan[0]
p12611
sg8
(lp12612
(dp12613
g11
(lp12614
sg13
V0
p12615
sg15
L1L
sass(g1693
g12005
g12608
L1L
tp12616
(dp12617
g6
VTan[Pi / 2]
p12618
sg8
(lp12619
(dp12620
g11
(lp12621
sg13
V\u005ctext{ComplexInfinity}
p12622
sg15
L2L
sass(g1693
g12005
VTanh
p12623
L0L
tp12624
(dp12625
g6
VTanh[0]
p12626
sg8
(lp12627
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g11
(lp12629
sg13
V0
p12630
sg15
L1L
sass(g1693
VDrawing Graphics
p12631
VAbsoluteThickness
p12632
L0L
tp12633
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g6
VGraphics[Table[{AbsoluteThickness[t], Line[{{20 t, 10}, {20 t, 80}}], Text[ToString[t]<>"pt", {20 t, 0}]}, {t, 0, 10}]]
p12635
sg8
(lp12636
(dp12637
g11
(lp12638
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 2.9473cm);\u000adraw((18.708,40.0891)--(18.708,164.811), rgb(0, 0, 0)+linewidth(0));\u000alabel("$\u005ctext{0pt}$", (18.70824053452116,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((54.343,40.0891)--(54.343,164.811), rgb(0, 0, 0)+linewidth(1.3333));\u000alabel("$\u005ctext{1pt}$", (54.342984409799556,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((89.978,40.0891)--(89.978,164.811), rgb(0, 0, 0)+linewidth(2.6667));\u000alabel("$\u005ctext{2pt}$", (89.97772828507794,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((125.61,40.0891)--(125.61,164.811), rgb(0, 0, 0)+linewidth(4));\u000alabel("$\u005ctext{3pt}$", (125.61247216035635,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((161.25,40.0891)--(161.25,164.811), rgb(0, 0, 0)+linewidth(5.3333));\u000alabel("$\u005ctext{4pt}$", (161.24721603563475,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((196.88,40.0891)--(196.88,164.811), rgb(0, 0, 0)+linewidth(6.6667));\u000alabel("$\u005ctext{5pt}$", (196.88195991091314,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((232.52,40.0891)--(232.52,164.811), rgb(0, 0, 0)+linewidth(8));\u000alabel("$\u005ctext{6pt}$", (232.51670378619153,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((268.15,40.0891)--(268.15,164.811), rgb(0, 0, 0)+linewidth(9.3333));\u000alabel("$\u005ctext{7pt}$", (268.15144766146994,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((303.79,40.0891)--(303.79,164.811), rgb(0, 0, 0)+linewidth(10.667));\u000alabel("$\u005ctext{8pt}$", (303.78619153674833,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((339.42,40.0891)--(339.42,164.811), rgb(0, 0, 0)+linewidth(12));\u000alabel("$\u005ctext{9pt}$", (339.4209354120267,22.271714922049), (0,0), rgb(0, 0, 0));\u000adraw((375.06,40.0891)--(375.06,164.811), rgb(0, 0, 0)+linewidth(13.333));\u000alabel("$\u005ctext{10pt}$", (375.0556792873051,22.271714922049), (0,0), rgb(0, 0, 0));\u000aclip(box((8.2082,9.7717), (389.06,178.14)));\u000a\u005cend{asy}\u000a
p12639
sg15
L1L
sass(g1693
g12631
VArrow
p12640
L0L
tp12641
(dp12642
g6
VGraphics[Arrow[{{0,0}, {1,1}}]]
p12643
sg8
(lp12644
(dp12645
g11
(lp12646
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
p12647
sg15
L1L
sass(g1693
g12631
g12640
L1L
tp12648
(dp12649
g6
VGraphics[{Circle[], Arrow[{{2, 1}, {0, 0}}, 1]}]
p12650
sg8
(lp12651
(dp12652
g11
(lp12653
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
p12654
sg15
L2L
sass(g1693
g12631
g12640
L2L
tp12655
(dp12656
g6
VTable[Graphics[{Circle[], Arrow[Table[{Cos[phi],Sin[phi]},{phi,0,2*Pi,Pi/2}],{d, d}]}],{d,0,2,0.5}]
p12657
sg8
(lp12658
(dp12659
g11
(lp12660
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}
p12661
sg15
L3L
sass(g1693
g12631
VArrowheads
p12662
L0L
tp12663
(dp12664
g6
VGraphics[{Circle[],Arrowheads[{-0.04, 0.04}], Arrow[{{0, 0}, {2, 2}}, {1,1}]}]
p12665
sg8
(lp12666
(dp12667
g11
(lp12668
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
p12669
sg15
L1L
sass(g1693
g12631
g12662
L1L
tp12670
(dp12671
g6
VGraphics[{Circle[], Arrowheads[{{0.04, 1, Graphics[{Red, Disk[]}]}}], Arrow[{{0, 0}, {Cos[Pi/3],Sin[Pi/3]}}]}]
p12672
sg8
(lp12673
(dp12674
g11
(lp12675
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
p12676
sg15
L2L
sass(g1693
g12631
g12662
L2L
tp12677
(dp12678
g6
VGraphics[{Arrowheads[Table[{0.04, i/10, Graphics[Disk[]]},{i,1,10}]], Arrow[{{0, 0}, {6, 5}, {1, -3}, {-2, 2}}]}]
p12679
sg8
(lp12680
(dp12681
g11
(lp12682
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
p12683
sg15
L3L
sass(g1693
g12631
VAutomatic
p12684
L0L
tp12685
(dp12686
g6
VCases[Options[Plot], HoldPattern[_ :> Automatic]]
p12687
sg8
(lp12688
(dp12689
g11
(lp12690
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}
p12691
sg15
L1L
sass(g1693
g12631
VBezierCurve
p12692
L0L
tp12693
(dp12694
g6
VGraphics[BezierCurve[{{0, 0},{1, 1},{2, -1},{3, 0}}]]
p12695
sg8
(lp12696
(dp12697
g11
(lp12698
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
p12699
sg15
L1L
sass(g1693
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g12692
L1L
tp12700
(dp12701
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}]]}]]
p12702
sg8
(lp12703
(dp12704
g11
(lp12705
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, 125.2), rgb(1, 0, 0));dot((126.40000000000002, 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, 74.8), 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
p12706
sg15
L2L
sass(g1693
g12631
VBlack
p12707
L0L
tp12708
(dp12709
g6
VGraphics[{EdgeForm[Black], Black, Disk[]}, ImageSize->Small]
p12710
sg8
(lp12711
(dp12712
g11
(lp12713
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
p12714
sg15
L1L
sass(g1693
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g12707
L1L
tp12715
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g6
VBlack // ToBoxes
p12717
sg8
(lp12718
(dp12719
g11
(lp12720
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{GrayLevel}\u005cleft[0\u005cright],\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]
p12721
sg15
L2L
sass(g1693
g12631
g12707
L2L
tp12722
(dp12723
g6
VBlack
p12724
sg8
(lp12725
(dp12726
g11
(lp12727
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
p12728
sg15
L3L
sass(g1693
g12631
VBlend
p12729
L0L
tp12730
(dp12731
g6
VBlend[{Red, Blue}]
p12732
sg8
(lp12733
(dp12734
g11
(lp12735
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
p12736
sg15
L1L
sass(g1693
g12631
g12729
L1L
tp12737
(dp12738
g6
VBlend[{Red, Blue}, 0.3]
p12739
sg8
(lp12740
(dp12741
g11
(lp12742
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
p12743
sg15
L2L
sass(g1693
g12631
g12729
L2L
tp12744
(dp12745
g6
VBlend[{Red, Blue, Green}, 0.75]
p12746
sg8
(lp12747
(dp12748
g11
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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
p12750
sg15
L3L
sass(g1693
g12631
g12729
L3L
tp12751
(dp12752
g6
VGraphics[Table[{Blend[{Red, Green, Blue}, x], Rectangle[{10 x, 0}]}, {x, 0, 1, 1/10}]]
p12753
sg8
(lp12754
(dp12755
g11
(lp12756
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
p12757
sg15
L4L
sass(g1693
g12631
g12729
L4L
tp12758
(dp12759
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}]]
p12760
sg8
(lp12761
(dp12762
g11
(lp12763
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
p12764
sg15
L5L
sass(g1693
g12631
VBlue
p12765
L0L
tp12766
(dp12767
g6
VGraphics[{EdgeForm[Black], Blue, Disk[]}, ImageSize->Small]
p12768
sg8
(lp12769
(dp12770
g11
(lp12771
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
p12772
sg15
L1L
sass(g1693
g12631
g12765
L1L
tp12773
(dp12774
g6
VBlue // ToBoxes
p12775
sg8
(lp12776
(dp12777
g11
(lp12778
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[0,0,1\u005cright],\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]
p12779
sg15
L2L
sass(g1693
g12631
g12765
L2L
tp12780
(dp12781
g6
VBlue
p12782
sg8
(lp12783
(dp12784
g11
(lp12785
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
p12786
sg15
L3L
sass(g1693
g12631
VCMYKColor
p12787
L0L
tp12788
(dp12789
g6
VGraphics[MapIndexed[{CMYKColor @@ #1, Disk[2*#2 ~Join~ {0}]} &, IdentityMatrix[4]], ImageSize->Small]
p12790
sg8
(lp12791
(dp12792
g11
(lp12793
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
p12794
sg15
L1L
sass(g1693
g12631
VCircle
p12795
L0L
tp12796
(dp12797
g6
VGraphics[{Red, Circle[{0, 0}, {2, 1}]}]
p12798
sg8
(lp12799
(dp12800
g11
(lp12801
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
p12802
sg15
L1L
sass(g1693
g12631
g12795
L1L
tp12803
(dp12804
g6
VGraphics[{Circle[], Disk[{0, 0}, {1, 1}, {0, 2.1}]}]
p12805
sg8
(lp12806
(dp12807
g11
(lp12808
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
p12809
sg15
L2L
sass(g1693
g12631
VColorDistance
p12810
L0L
tp12811
(dp12812
g6
VColorDistance[Magenta, Green]
p12813
sg8
(lp12814
(dp12815
g11
(lp12816
sg13
V2.2507
p12817
sg15
L1L
sass(g1693
g12631
g12810
L1L
tp12818
(dp12819
g6
VColorDistance[{Red, Blue}, {Green, Yellow}, DistanceFunction -> {"CMC", "Perceptibility"}]
p12820
sg8
(lp12821
(dp12822
g11
(lp12823
sg13
V\u005cleft\u005c{1.0495,1.27455\u005cright\u005c}
p12824
sg15
L2L
sass(g1693
g12631
VCyan
p12825
L0L
tp12826
(dp12827
g6
VGraphics[{EdgeForm[Black], Cyan, Disk[]}, ImageSize->Small]
p12828
sg8
(lp12829
(dp12830
g11
(lp12831
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
p12832
sg15
L1L
sass(g1693
g12631
g12825
L1L
tp12833
(dp12834
g6
VCyan // ToBoxes
p12835
sg8
(lp12836
(dp12837
g11
(lp12838
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[0,1,1\u005cright],\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]
p12839
sg15
L2L
sass(g1693
g12631
g12825
L2L
tp12840
(dp12841
g6
VCyan
p12842
sg8
(lp12843
(dp12844
g11
(lp12845
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
p12846
sg15
L3L
sass(g1693
g12631
VDarker
p12847
L0L
tp12848
(dp12849
g6
VGraphics[Table[{Darker[Yellow, x], Disk[{12x, 0}]}, {x, 0, 1, 1/6}]]
p12850
sg8
(lp12851
(dp12852
g11
(lp12853
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
p12854
sg15
L1L
sass(g1693
g12631
VDisk
p12855
L0L
tp12856
(dp12857
g6
VGraphics[{Blue, Disk[{0, 0}, {2, 1}]}]
p12858
sg8
(lp12859
(dp12860
g11
(lp12861
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
p12862
sg15
L1L
sass(g1693
g12631
g12855
L1L
tp12863
(dp12864
g6
VGraphics[{EdgeForm[Black], Red, Disk[]}]
p12865
sg8
(lp12866
(dp12867
g11
(lp12868
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
p12869
sg15
L2L
sass(g1693
g12631
g12855
L2L
tp12870
(dp12871
g6
VGraphics[Disk[{0, 0}, 1, {Pi / 3, 2 Pi / 3}]]
p12872
sg8
(lp12873
(dp12874
g11
(lp12875
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
p12876
sg15
L3L
sass(g1693
g12631
g12855
L3L
tp12877
(dp12878
g6
VGraphics[{Blue, Disk[{0, 0}, {1, 2}, {Pi / 3, 5 Pi / 3}]}]
p12879
sg8
(lp12880
(dp12881
g11
(lp12882
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
p12883
sg15
L4L
sass(g1693
g12631
VEdgeForm
p12884
L0L
tp12885
(dp12886
g6
VGraphics[{EdgeForm[{Thick, Green}], Disk[]}]
p12887
sg8
(lp12888
(dp12889
g11
(lp12890
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
p12891
sg15
L1L
sass(g1693
g12631
g12884
L1L
tp12892
(dp12893
g6
VGraphics[{Style[Disk[],EdgeForm[{Thick,Red}]], Circle[{1,1}]}]
p12894
sg8
(lp12895
(dp12896
g11
(lp12897
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
p12898
sg15
L2L
sass(g1693
g12631
VFilledCurve
p12899
L0L
tp12900
(dp12901
g6
VGraphics[FilledCurve[{Line[{{0, 0}, {1, 1}, {2, 0}}]}]]
p12902
sg8
(lp12903
(dp12904
g11
(lp12905
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
p12906
sg15
L1L
sass(g1693
g12631
g12899
L1L
tp12907
(dp12908
g6
VGraphics[FilledCurve[{BezierCurve[{{0, 0}, {1, 1}, {2, 0}}], Line[{{3, 0}, {0, 2}}]}]]
p12909
sg8
(lp12910
(dp12911
g11
(lp12912
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
p12913
sg15
L2L
sass(g1693
g12631
VGraphics
p12914
L0L
tp12915
(dp12916
g6
VGraphics[{Blue, Line[{{0,0}, {1,1}}]}]
p12917
sg8
(lp12918
(dp12919
g11
(lp12920
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
p12921
sg15
L1L
sass(g1693
g12631
g12914
L1L
tp12922
(dp12923
g6
VGraphics[{Rectangle[{1, 1}]}, Axes -> True, PlotRange -> {{-2, 1.5}, {-1, 1.5}}]
p12924
sg8
(lp12925
(dp12926
g11
(lp12927
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), (-1,0), rgb(0, 0, 0));\u000adraw((228.57,    0)--(235.24,    0), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,57.1429)--(235.24,57.1429), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,171.429)--(235.24,171.429), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,228.571)--(235.24,228.571), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,285.714)--(235.24,285.714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,11.4286)--(232.57,11.4286), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,22.8571)--(232.57,22.8571), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,34.2857)--(232.57,34.2857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,45.7143)--(232.57,45.7143), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,68.5714)--(232.57,68.5714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,   80)--(232.57,   80), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,91.4286)--(232.57,91.4286), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,102.857)--(232.57,102.857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,125.714)--(232.57,125.714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,137.143)--(232.57,137.143), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,148.571)--(232.57,148.571), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,  160)--(232.57,  160), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,182.857)--(232.57,182.857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,194.286)--(232.57,194.286), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,205.714)--(232.57,205.714), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,217.143)--(232.57,217.143), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,  240)--(232.57,  240), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,251.429)--(232.57,251.429), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,262.857)--(232.57,262.857), rgb(0, 0, 0)+linewidth(0.66667));draw((228.57,274.286)--(232.57,274.286), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p12928
sg15
L2L
sass(g1693
g12631
g12914
L2L
tp12929
(dp12930
g6
VGraphics[{Rectangle[],Red,Disk[{1,0}]},PlotRange->{{0,1},{0,1}}]
p12931
sg8
(lp12932
(dp12933
g11
(lp12934
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
p12935
sg15
L3L
sass(g1693
g12631
g12914
L3L
tp12936
(dp12937
g6
VGraphics[Rectangle[]] // ToBoxes // Head
p12938
sg8
(lp12939
(dp12940
g11
(lp12941
sg13
V\u005ctext{GraphicsBox}
p12942
sg15
L4L
sass(g1693
g12631
g12914
L4L
tp12943
(dp12944
g6
VGraphics[Circle[]] // TeXForm
p12945
sg8
(lp12946
(dp12947
g11
(lp12948
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}
p12949
sg15
L5L
sass(g1693
g12631
VGray
p12950
L0L
tp12951
(dp12952
g6
VGraphics[{EdgeForm[Black], Gray, Disk[]}, ImageSize->Small]
p12953
sg8
(lp12954
(dp12955
g11
(lp12956
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
p12957
sg15
L1L
sass(g1693
g12631
g12950
L1L
tp12958
(dp12959
g6
VGray // ToBoxes
p12960
sg8
(lp12961
(dp12962
g11
(lp12963
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{GrayLevel}\u005cleft[0.5\u005cright],\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p12964
sg15
L2L
sass(g1693
g12631
g12950
L2L
tp12965
(dp12966
g6
VGray
p12967
sg8
(lp12968
(dp12969
g11
(lp12970
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(0.5, 0.5, 0.5), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p12971
sg15
L3L
sass(g1693
g12631
VGreen
p12972
L0L
tp12973
(dp12974
g6
VGraphics[{EdgeForm[Black], Green, Disk[]}, ImageSize->Small]
p12975
sg8
(lp12976
(dp12977
g11
(lp12978
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(0, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p12979
sg15
L1L
sass(g1693
g12631
g12972
L1L
tp12980
(dp12981
g6
VGreen // ToBoxes
p12982
sg8
(lp12983
(dp12984
g11
(lp12985
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[0,1,0\u005cright],\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$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]
p12986
sg15
L2L
sass(g1693
g12631
g12972
L2L
tp12987
(dp12988
g6
VGreen
p12989
sg8
(lp12990
(dp12991
g11
(lp12992
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
p12993
sg15
L3L
sass(g1693
g12631
VHue
p12994
L0L
tp12995
(dp12996
g6
VGraphics[Table[{EdgeForm[Gray], Hue[h, s], Disk[{12h, 8s}]}, {h, 0, 1, 1/6}, {s, 0, 1, 1/4}]]
p12997
sg8
(lp12998
(dp12999
g11
(lp13000
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
p13001
sg15
L1L
sass(g1693
g12631
g12994
L1L
tp13002
(dp13003
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}]]
p13004
sg8
(lp13005
(dp13006
g11
(lp13007
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(5.8556cm, 5.8333cm);\u000afilldraw(ellipse((288.67,240.62),43.75,43.75), rgb(1, 0, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((240.62,288.67),43.75,43.75), rgb(1, 0.083333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,306.25),43.75,43.75), rgb(1, 0.16667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((109.38,288.67),43.75,43.75), rgb(1, 0.25, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((61.334,240.62),43.75,43.75), rgb(1, 0.33333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((43.75,175),43.75,43.75), rgb(1, 0.41667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((61.334,109.38),43.75,43.75), rgb(1, 0.5, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((109.38,61.334),43.75,43.75), rgb(1, 0.58333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,43.75),43.75,43.75), rgb(1, 0.66667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((240.62,61.334),43.75,43.75), rgb(1, 0.75, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((288.67,109.38),43.75,43.75), rgb(1, 0.83333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((306.25,175),43.75,43.75), rgb(1, 0.91667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((272.43,231.25),37.5,37.5), rgb(1, 0.83333, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((231.25,272.43),37.5,37.5), rgb(1, 0.91667, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,287.5),37.5,37.5), rgb(1, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((118.75,272.43),37.5,37.5), rgb(0.91667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((77.572,231.25),37.5,37.5), rgb(0.83333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((62.5,175),37.5,37.5), rgb(0.75, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((77.572,118.75),37.5,37.5), rgb(0.66667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((118.75,77.572),37.5,37.5), rgb(0.58333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,62.5),37.5,37.5), rgb(0.5, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((231.25,77.572),37.5,37.5), rgb(0.41667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((272.43,118.75),37.5,37.5), rgb(0.33333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((287.5,175),37.5,37.5), rgb(0.25, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((256.19,221.88),31.25,31.25), rgb(0.33333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((221.88,256.19),31.25,31.25), rgb(0.25, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,268.75),31.25,31.25), rgb(0.16667, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((128.12,256.19),31.25,31.25), rgb(0.083333, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((93.81,221.88),31.25,31.25), rgb(0, 1, 0)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((81.25,175),31.25,31.25), rgb(0, 1, 0.083333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((93.81,128.12),31.25,31.25), rgb(0, 1, 0.16667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((128.12,93.81),31.25,31.25), rgb(0, 1, 0.25)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,81.25),31.25,31.25), rgb(0, 1, 0.33333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((221.88,93.81),31.25,31.25), rgb(0, 1, 0.41667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((256.19,128.12),31.25,31.25), rgb(0, 1, 0.5)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((268.75,175),31.25,31.25), rgb(0, 1, 0.58333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((239.95,212.5),25,25), rgb(0, 1, 0.5)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((212.5,239.95),25,25), rgb(0, 1, 0.58333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,250),25,25), rgb(0, 1, 0.66667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((137.5,239.95),25,25), rgb(0, 1, 0.75)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((110.05,212.5),25,25), rgb(0, 1, 0.83333)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((100,175),25,25), rgb(0, 1, 0.91667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((110.05,137.5),25,25), rgb(0, 1, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((137.5,110.05),25,25), rgb(0, 0.91667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,100),25,25), rgb(0, 0.83333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((212.5,110.05),25,25), rgb(0, 0.75, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((239.95,137.5),25,25), rgb(0, 0.66667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((250,175),25,25), rgb(0, 0.58333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((223.71,203.12),18.75,18.75), rgb(0, 0.66667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((203.12,223.71),18.75,18.75), rgb(0, 0.58333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,231.25),18.75,18.75), rgb(0, 0.5, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((146.88,223.71),18.75,18.75), rgb(0, 0.41667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((126.29,203.12),18.75,18.75), rgb(0, 0.33333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((118.75,175),18.75,18.75), rgb(0, 0.25, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((126.29,146.88),18.75,18.75), rgb(0, 0.16667, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((146.88,126.29),18.75,18.75), rgb(0, 0.083333, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,118.75),18.75,18.75), rgb(0, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((203.12,126.29),18.75,18.75), rgb(0.083333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((223.71,146.88),18.75,18.75), rgb(0.16667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((231.25,175),18.75,18.75), rgb(0.25, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((207.48,193.75),12.5,12.5), rgb(0.16667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((193.75,207.48),12.5,12.5), rgb(0.25, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,212.5),12.5,12.5), rgb(0.33333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((156.25,207.48),12.5,12.5), rgb(0.41667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.52,193.75),12.5,12.5), rgb(0.5, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((137.5,175),12.5,12.5), rgb(0.58333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((142.52,156.25),12.5,12.5), rgb(0.66667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((156.25,142.52),12.5,12.5), rgb(0.75, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((175,137.5),12.5,12.5), rgb(0.83333, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((193.75,142.52),12.5,12.5), rgb(0.91667, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((207.48,156.25),12.5,12.5), rgb(1, 0, 1)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000afilldraw(ellipse((212.5,175),12.5,12.5), rgb(1, 0, 0.91667)+opacity(0.6), rgb(0, 0, 0)+opacity(0.5)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (350.33,349.67)));\u000a\u005cend{asy}\u000a
p13008
sg15
L2L
sass(g1693
g12631
VLightRed
p13009
L0L
tp13010
(dp13011
g6
VGraphics[{EdgeForm[Black], LightRed, Disk[]}, ImageSize->Small]
p13012
sg8
(lp13013
(dp13014
g11
(lp13015
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 0.85, 0.85), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13016
sg15
L1L
sass(g1693
g12631
g13009
L1L
tp13017
(dp13018
g6
VLightRed // ToBoxes
p13019
sg8
(lp13020
(dp13021
g11
(lp13022
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[1.,0.85,0.85\u005cright],\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13023
sg15
L2L
sass(g1693
g12631
VLighter
p13024
L0L
tp13025
(dp13026
g6
VLighter[Orange, 1/4]
p13027
sg8
(lp13028
(dp13029
g11
(lp13030
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
p13031
sg15
L1L
sass(g1693
g12631
g13024
L1L
tp13032
(dp13033
g6
VGraphics[{Lighter[Orange, 1/4], Disk[]}]
p13034
sg8
(lp13035
(dp13036
g11
(lp13037
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
p13038
sg15
L2L
sass(g1693
g12631
g13024
L2L
tp13039
(dp13040
g6
VGraphics[Table[{Lighter[Orange, x], Disk[{12x, 0}]}, {x, 0, 1, 1/6}]]
p13041
sg8
(lp13042
(dp13043
g11
(lp13044
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
p13045
sg15
L3L
sass(g1693
g12631
VLine
p13046
L0L
tp13047
(dp13048
g6
VGraphics[Line[{{0,1},{0,0},{1,0},{1,1}}]]
p13049
sg8
(lp13050
(dp13051
g11
(lp13052
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
p13053
sg15
L1L
sass(g1693
g12631
g13046
L1L
tp13054
(dp13055
g6
VGraphics3D[Line[{{0,0,0},{0,1,1},{1,0,0}}]]
p13056
sg8
(lp13057
(dp13058
g11
(lp13059
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
p13060
sg15
L2L
sass(g1693
g12631
VMagenta
p13061
L0L
tp13062
(dp13063
g6
VGraphics[{EdgeForm[Black], Magenta, Disk[]}, ImageSize->Small]
p13064
sg8
(lp13065
(dp13066
g11
(lp13067
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
p13068
sg15
L1L
sass(g1693
g12631
g13061
L1L
tp13069
(dp13070
g6
VMagenta // ToBoxes
p13071
sg8
(lp13072
(dp13073
g11
(lp13074
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[1,0,1\u005cright],\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]
p13075
sg15
L2L
sass(g1693
g12631
g13061
L2L
tp13076
(dp13077
g6
VMagenta
p13078
sg8
(lp13079
(dp13080
g11
(lp13081
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
p13082
sg15
L3L
sass(g1693
g12631
VOrange
p13083
L0L
tp13084
(dp13085
g6
VGraphics[{EdgeForm[Black], Orange, Disk[]}, ImageSize->Small]
p13086
sg8
(lp13087
(dp13088
g11
(lp13089
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(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
p13090
sg15
L1L
sass(g1693
g12631
g13083
L1L
tp13091
(dp13092
g6
VOrange // ToBoxes
p13093
sg8
(lp13094
(dp13095
g11
(lp13096
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[1,0.5,0\u005cright],\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13097
sg15
L2L
sass(g1693
g12631
VPoint
p13098
L0L
tp13099
(dp13100
g6
VGraphics[Point[{0,0}]]
p13101
sg8
(lp13102
(dp13103
g11
(lp13104
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
p13105
sg15
L1L
sass(g1693
g12631
g13098
L1L
tp13106
(dp13107
g6
VGraphics[Point[Table[{Sin[t], Cos[t]}, {t, 0, 2. Pi, Pi / 15.}]]]
p13108
sg8
(lp13109
(dp13110
g11
(lp13111
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
p13112
sg15
L2L
sass(g1693
g12631
g13098
L2L
tp13113
(dp13114
g6
VGraphics3D[Point[Table[{Sin[t], Cos[t], 0}, {t, 0, 2. Pi, Pi / 15.}]]]
p13115
sg8
(lp13116
(dp13117
g11
(lp13118
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
p13119
sg15
L3L
sass(g1693
g12631
VPolygon
p13120
L0L
tp13121
(dp13122
g6
VGraphics[Polygon[{{1,0},{0,0},{0,1}}]]
p13123
sg8
(lp13124
(dp13125
g11
(lp13126
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
p13127
sg15
L1L
sass(g1693
g12631
g13120
L1L
tp13128
(dp13129
g6
VGraphics3D[Polygon[{{0,0,0},{0,1,1},{1,0,0}}]]
p13130
sg8
(lp13131
(dp13132
g11
(lp13133
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
p13134
sg15
L2L
sass(g1693
g12631
VPurple
p13135
L0L
tp13136
(dp13137
g6
VGraphics[{EdgeForm[Black], Purple, Disk[]}, ImageSize->Small]
p13138
sg8
(lp13139
(dp13140
g11
(lp13141
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(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
p13142
sg15
L1L
sass(g1693
g12631
g13135
L1L
tp13143
(dp13144
g6
VPurple // ToBoxes
p13145
sg8
(lp13146
(dp13147
g11
(lp13148
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[0.5,0,0.5\u005cright],\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13149
sg15
L2L
sass(g1693
g12631
VRGBColor
p13150
L0L
tp13151
(dp13152
g6
VGraphics[MapIndexed[{RGBColor @@ #1, Disk[2*#2 ~Join~ {0}]} &, IdentityMatrix[3]], ImageSize->Small]
p13153
sg8
(lp13154
(dp13155
g11
(lp13156
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
p13157
sg15
L1L
sass(g1693
g12631
g13150
L1L
tp13158
(dp13159
g6
VRGBColor[0, 1, 0]
p13160
sg8
(lp13161
(dp13162
g11
(lp13163
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
p13164
sg15
L2L
sass(g1693
g12631
g13150
L2L
tp13165
(dp13166
g6
VRGBColor[0, 1, 0] // ToBoxes
p13167
sg8
(lp13168
(dp13169
g11
(lp13170
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[0,1,0\u005cright],\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]
p13171
sg15
L3L
sass(g1693
g12631
VRectangle
p13172
L0L
tp13173
(dp13174
g6
VGraphics[Rectangle[]]
p13175
sg8
(lp13176
(dp13177
g11
(lp13178
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
p13179
sg15
L1L
sass(g1693
g12631
g13172
L1L
tp13180
(dp13181
g6
VGraphics[{Blue, Rectangle[{0.5, 0}], Orange, Rectangle[{0, 0.5}]}]
p13182
sg8
(lp13183
(dp13184
g11
(lp13185
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
p13186
sg15
L2L
sass(g1693
g12631
VRed
p13187
L0L
tp13188
(dp13189
g6
VGraphics[{EdgeForm[Black], Red, Disk[]}, ImageSize->Small]
p13190
sg8
(lp13191
(dp13192
g11
(lp13193
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
p13194
sg15
L1L
sass(g1693
g12631
g13187
L1L
tp13195
(dp13196
g6
VRed // ToBoxes
p13197
sg8
(lp13198
(dp13199
g11
(lp13200
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[1,0,0\u005cright],\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]
p13201
sg15
L2L
sass(g1693
g12631
g13187
L2L
tp13202
(dp13203
g6
VRed
p13204
sg8
(lp13205
(dp13206
g11
(lp13207
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
p13208
sg15
L3L
sass(g1693
g12631
VRegularPolygon
p13209
L0L
tp13210
(dp13211
g6
VGraphics[RegularPolygon[5]]
p13212
sg8
(lp13213
(dp13214
g11
(lp13215
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
p13216
sg15
L1L
sass(g1693
g12631
g13209
L1L
tp13217
(dp13218
g6
VGraphics[{Yellow, Rectangle[], Orange, RegularPolygon[{1, 1}, {0.25, 0}, 3]}]
p13219
sg8
(lp13220
(dp13221
g11
(lp13222
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
p13223
sg15
L2L
sass(g1693
g12631
VText
p13224
L0L
tp13225
(dp13226
g6
VGraphics[{Text["First", {0, 0}], Text["Second", {1, 1}]}, Axes->True, PlotRange->{{-2, 2}, {-2, 2}}]
p13227
sg8
(lp13228
(dp13229
g11
(lp13230
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
p13231
sg15
L1L
sass(g1693
g12631
VThickness
p13232
L0L
tp13233
(dp13234
g6
VGraphics[{Thickness[0.2], Line[{{0, 0}, {0, 5}}]}, Axes->True, PlotRange->{{-5, 5}, {-5, 5}}]
p13235
sg8
(lp13236
(dp13237
g11
(lp13238
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
p13239
sg15
L1L
sass(g1693
g12631
VWhite
p13240
L0L
tp13241
(dp13242
g6
VGraphics[{EdgeForm[Black], White, Disk[]}, ImageSize->Small]
p13243
sg8
(lp13244
(dp13245
g11
(lp13246
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
p13247
sg15
L1L
sass(g1693
g12631
g13240
L1L
tp13248
(dp13249
g6
VWhite // ToBoxes
p13250
sg8
(lp13251
(dp13252
g11
(lp13253
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{GrayLevel}\u005cleft[1\u005cright],\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$OptionSyntax}->\u005ctext{Ignore},\u005ctext{AspectRatio}->\u005ctext{Automatic},\u005ctext{Axes}->\u005ctext{False},\u005ctext{AxesStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{Background}->\u005ctext{Automatic},\u005ctext{ImageSize}->16,\u005ctext{LabelStyle}->\u005cleft\u005c{\u005cright\u005c},\u005ctext{PlotRange}->\u005ctext{Automatic},\u005ctext{PlotRangePadding}->\u005ctext{Automatic},\u005ctext{TicksStyle}->\u005cleft\u005c{\u005cright\u005c}\u005cright],\u005ctext{ImageSizeMultipliers}->\u005cleft\u005c{1,1\u005cright\u005c}\u005cright]
p13254
sg15
L2L
sass(g1693
g12631
g13240
L2L
tp13255
(dp13256
g6
VWhite
p13257
sg8
(lp13258
(dp13259
g11
(lp13260
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(0.26667cm, 0.26667cm);\u000afilldraw((0,0)--(16,0)--(16,16)--(0,16)--cycle, rgb(1, 1, 1), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,-0.33333), (16.333,16.333)));\u000a\u005cend{asy}\u000a
p13261
sg15
L3L
sass(g1693
g12631
VYellow
p13262
L0L
tp13263
(dp13264
g6
VGraphics[{EdgeForm[Black], Yellow, Disk[]}, ImageSize->Small]
p13265
sg8
(lp13266
(dp13267
g11
(lp13268
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(3.3333cm, 3.3112cm);\u000afilldraw(ellipse((100,100),100,100), rgb(1, 1, 0), rgb(0, 0, 0)+linewidth(0.66667));\u000aclip(box((-0.33333,0.33333), (200.33,199.67)));\u000a\u005cend{asy}\u000a
p13269
sg15
L1L
sass(g1693
g12631
g13262
L1L
tp13270
(dp13271
g6
VYellow // ToBoxes
p13272
sg8
(lp13273
(dp13274
g11
(lp13275
sg13
V\u005ctext{StyleBox}\u005cleft[\u005ctext{GraphicsBox}\u005cleft[\u005cleft\u005c{\u005ctext{EdgeForm}\u005cleft[\u005ctext{GrayLevel}\u005cleft[0\u005cright]\u005cright],\u005ctext{RGBColor}\u005cleft[1,1,0\u005cright],\u005ctext{RectangleBox}\u005cleft[\u005cleft\u005c{0,0\u005cright\u005c}\u005cright]\u005cright\u005c},\u005ctext{\u005c$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]
p13276
sg15
L2L
sass(g1693
g12631
g13262
L2L
tp13277
(dp13278
g6
VYellow
p13279
sg8
(lp13280
(dp13281
g11
(lp13282
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
p13283
sg15
L3L
sass(g1693
VNumber theoretic functions
p13284
VContinuedFraction
p13285
L0L
tp13286
(dp13287
g6
VContinuedFraction[Pi, 10]
p13288
sg8
(lp13289
(dp13290
g11
(lp13291
sg13
V\u005cleft\u005c{3,7,15,1,292,1,1,1,2,1\u005cright\u005c}
p13292
sg15
L1L
sass(g1693
g13284
g13285
L1L
tp13293
(dp13294
g6
VContinuedFraction[(1 + 2 Sqrt[3])/5]
p13295
sg8
(lp13296
(dp13297
g11
(lp13298
sg13
V\u005cleft\u005c{0,1,\u005cleft\u005c{8,3,34,3\u005cright\u005c}\u005cright\u005c}
p13299
sg15
L2L
sass(g1693
g13284
g13285
L2L
tp13300
(dp13301
g6
VContinuedFraction[Sqrt[70]]
p13302
sg8
(lp13303
(dp13304
g11
(lp13305
sg13
V\u005cleft\u005c{8,\u005cleft\u005c{2,1,2,1,2,16\u005cright\u005c}\u005cright\u005c}
p13306
sg15
L3L
sass(g1693
g13284
VCoprimeQ
p13307
L0L
tp13308
(dp13309
g6
VCoprimeQ[7, 9]
p13310
sg8
(lp13311
(dp13312
g11
(lp13313
sg13
V\u005ctext{True}
p13314
sg15
L1L
sass(g1693
g13284
g13307
L1L
tp13315
(dp13316
g6
VCoprimeQ[-4, 9]
p13317
sg8
(lp13318
(dp13319
g11
(lp13320
sg13
V\u005ctext{True}
p13321
sg15
L2L
sass(g1693
g13284
g13307
L2L
tp13322
(dp13323
g6
VCoprimeQ[12, 15]
p13324
sg8
(lp13325
(dp13326
g11
(lp13327
sg13
V\u005ctext{False}
p13328
sg15
L3L
sass(g1693
g13284
g13307
L3L
tp13329
(dp13330
g6
VCoprimeQ[1+2I, 1-I]
p13331
sg8
(lp13332
(dp13333
g11
(lp13334
sg13
V\u005ctext{True}
p13335
sg15
L4L
sass(g1693
g13284
g13307
L4L
tp13336
(dp13337
g6
VCoprimeQ[4+2I, 6+3I]
p13338
sg8
(lp13339
(dp13340
g11
(lp13341
sg13
V\u005ctext{True}
p13342
sg15
L5L
sass(g1693
g13284
g13307
L5L
tp13343
(dp13344
g6
VCoprimeQ[2, 3, 5]
p13345
sg8
(lp13346
(dp13347
g11
(lp13348
sg13
V\u005ctext{True}
p13349
sg15
L6L
sass(g1693
g13284
g13307
L6L
tp13350
(dp13351
g6
VCoprimeQ[2, 4, 5]
p13352
sg8
(lp13353
(dp13354
g11
(lp13355
sg13
V\u005ctext{False}
p13356
sg15
L7L
sass(g1693
g13284
VDivisors
p13357
L0L
tp13358
(dp13359
g6
VDivisors[96]
p13360
sg8
(lp13361
(dp13362
g11
(lp13363
sg13
V\u005cleft\u005c{1,2,3,4,6,8,12,16,24,32,48,96\u005cright\u005c}
p13364
sg15
L1L
sass(g1693
g13284
g13357
L1L
tp13365
(dp13366
g6
VDivisors[704]
p13367
sg8
(lp13368
(dp13369
g11
(lp13370
sg13
V\u005cleft\u005c{1,2,4,8,11,16,22,32,44,64,88,176,352,704\u005cright\u005c}
p13371
sg15
L2L
sass(g1693
g13284
g13357
L2L
tp13372
(dp13373
g6
VDivisors[{87, 106, 202, 305}]
p13374
sg8
(lp13375
(dp13376
g11
(lp13377
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}
p13378
sg15
L3L
sass(g1693
g13284
VEvenQ
p13379
L0L
tp13380
(dp13381
g6
VEvenQ[4]
p13382
sg8
(lp13383
(dp13384
g11
(lp13385
sg13
V\u005ctext{True}
p13386
sg15
L1L
sass(g1693
g13284
g13379
L1L
tp13387
(dp13388
g6
VEvenQ[-3]
p13389
sg8
(lp13390
(dp13391
g11
(lp13392
sg13
V\u005ctext{False}
p13393
sg15
L2L
sass(g1693
g13284
g13379
L2L
tp13394
(dp13395
g6
VEvenQ[n]
p13396
sg8
(lp13397
(dp13398
g11
(lp13399
sg13
V\u005ctext{False}
p13400
sg15
L3L
sass(g1693
g13284
VFactorInteger
p13401
L0L
tp13402
(dp13403
g6
Vfactors = FactorInteger[2010]
p13404
sg8
(lp13405
(dp13406
g11
(lp13407
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}
p13408
sg15
L1L
sass(g1693
g13284
g13401
L1L
tp13409
(dp13410
g6
VTimes @@ Power @@@ factors
p13411
sg8
(lp13412
(dp13413
g11
(lp13414
sg13
V2010
p13415
sg15
L2L
sass(g1693
g13284
g13401
L2L
tp13416
(dp13417
g6
VFactorInteger[2010 / 2011]
p13418
sg8
(lp13419
(dp13420
g11
(lp13421
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}
p13422
sg15
L3L
sass(g1693
g13284
VFractionalPart
p13423
L0L
tp13424
(dp13425
g6
VFractionalPart[4.1]
p13426
sg8
(lp13427
(dp13428
g11
(lp13429
sg13
V0.1
p13430
sg15
L1L
sass(g1693
g13284
g13423
L1L
tp13431
(dp13432
g6
VFractionalPart[-5.25]
p13433
sg8
(lp13434
(dp13435
g11
(lp13436
sg13
V-0.25
p13437
sg15
L2L
sass(g1693
g13284
VFromContinuedFraction
p13438
L0L
tp13439
(dp13440
g6
VFromContinuedFraction[{3, 7, 15, 1, 292, 1, 1, 1, 2, 1}]
p13441
sg8
(lp13442
(dp13443
g11
(lp13444
sg13
V\u005cfrac{1146408}{364913}
p13445
sg15
L1L
sass(g1693
g13284
g13438
L1L
tp13446
(dp13447
g6
VFromContinuedFraction[Range[5]]
p13448
sg8
(lp13449
(dp13450
g11
(lp13451
sg13
V\u005cfrac{225}{157}
p13452
sg15
L2L
sass(g1693
g13284
VGCD
p13453
L0L
tp13454
(dp13455
g6
VGCD[20, 30]
p13456
sg8
(lp13457
(dp13458
g11
(lp13459
sg13
V10
p13460
sg15
L1L
sass(g1693
g13284
g13453
L1L
tp13461
(dp13462
g6
VGCD[10, y]
p13463
sg8
(lp13464
(dp13465
g11
(lp13466
sg13
V\u005ctext{GCD}\u005cleft[10,y\u005cright]
p13467
sg15
L2L
sass(g1693
g13284
g13453
L2L
tp13468
(dp13469
g6
VGCD[4, {10, 11, 12, 13, 14}]
p13470
sg8
(lp13471
(dp13472
g11
(lp13473
sg13
V\u005cleft\u005c{2,1,4,1,2\u005cright\u005c}
p13474
sg15
L3L
sass(g1693
g13284
VIntegerExponent
p13475
L0L
tp13476
(dp13477
g6
VIntegerExponent[16, 2]
p13478
sg8
(lp13479
(dp13480
g11
(lp13481
sg13
V4
p13482
sg15
L1L
sass(g1693
g13284
g13475
L1L
tp13483
(dp13484
g6
VIntegerExponent[-510000]
p13485
sg8
(lp13486
(dp13487
g11
(lp13488
sg13
V4
p13489
sg15
L2L
sass(g1693
g13284
g13475
L2L
tp13490
(dp13491
g6
VIntegerExponent[10, b]
p13492
sg8
(lp13493
(dp13494
g11
(lp13495
sg13
V\u005ctext{IntegerExponent}\u005cleft[10,b\u005cright]
p13496
sg15
L3L
sass(g1693
g13284
VLCM
p13497
L0L
tp13498
(dp13499
g6
VLCM[15, 20]
p13500
sg8
(lp13501
(dp13502
g11
(lp13503
sg13
V60
p13504
sg15
L1L
sass(g1693
g13284
g13497
L1L
tp13505
(dp13506
g6
VLCM[20, 30, 40, 50]
p13507
sg8
(lp13508
(dp13509
g11
(lp13510
sg13
V600
p13511
sg15
L2L
sass(g1693
g13284
VMantissaExponent
p13512
L0L
tp13513
(dp13514
g6
VMantissaExponent[2.5*10^20]
p13515
sg8
(lp13516
(dp13517
g11
(lp13518
sg13
V\u005cleft\u005c{0.25,21\u005cright\u005c}
p13519
sg15
L1L
sass(g1693
g13284
g13512
L1L
tp13520
(dp13521
g6
VMantissaExponent[125.24]
p13522
sg8
(lp13523
(dp13524
g11
(lp13525
sg13
V\u005cleft\u005c{0.12524,3\u005cright\u005c}
p13526
sg15
L2L
sass(g1693
g13284
g13512
L2L
tp13527
(dp13528
g6
VMantissaExponent[125., 2]
p13529
sg8
(lp13530
(dp13531
g11
(lp13532
sg13
V\u005cleft\u005c{0.976563,7\u005cright\u005c}
p13533
sg15
L3L
sass(g1693
g13284
g13512
L3L
tp13534
(dp13535
g6
VMantissaExponent[10, b]
p13536
sg8
(lp13537
(dp13538
g11
(lp13539
sg13
V\u005ctext{MantissaExponent}\u005cleft[10,b\u005cright]
p13540
sg15
L4L
sass(g1693
g13284
VMod
p13541
L0L
tp13542
(dp13543
g6
VMod[14, 6]
p13544
sg8
(lp13545
(dp13546
g11
(lp13547
sg13
V2
p13548
sg15
L1L
sass(g1693
g13284
g13541
L1L
tp13549
(dp13550
g6
VMod[-3, 4]
p13551
sg8
(lp13552
(dp13553
g11
(lp13554
sg13
V1
p13555
sg15
L2L
sass(g1693
g13284
g13541
L2L
tp13556
(dp13557
g6
VMod[-3, -4]
p13558
sg8
(lp13559
(dp13560
g11
(lp13561
sg13
V-3
p13562
sg15
L3L
sass(g1693
g13284
g13541
L3L
tp13563
(dp13564
g6
VMod[5, 0]
p13565
sg8
(lp13566
(dp13567
g11
(lp13568
(dp13569
g149
I01
sg150
VMod
p13570
sg152
Vdivz
p13571
sg154
VMod::divz
p13572
sg156
VThe argument 0 should be nonzero.
p13573
sasg13
V\u005ctext{Mod}\u005cleft[5,0\u005cright]
p13574
sg15
L4L
sass(g1693
g13284
VNextPrime
p13575
L0L
tp13576
(dp13577
g6
VNextPrime[10000]
p13578
sg8
(lp13579
(dp13580
g11
(lp13581
sg13
V10007
p13582
sg15
L1L
sass(g1693
g13284
g13575
L1L
tp13583
(dp13584
g6
VNextPrime[100, -5]
p13585
sg8
(lp13586
(dp13587
g11
(lp13588
sg13
V73
p13589
sg15
L2L
sass(g1693
g13284
g13575
L2L
tp13590
(dp13591
g6
VNextPrime[10, -5]
p13592
sg8
(lp13593
(dp13594
g11
(lp13595
sg13
V-2
p13596
sg15
L3L
sass(g1693
g13284
g13575
L3L
tp13597
(dp13598
g6
VNextPrime[100, 5]
p13599
sg8
(lp13600
(dp13601
g11
(lp13602
sg13
V113
p13603
sg15
L4L
sass(g1693
g13284
g13575
L4L
tp13604
(dp13605
g6
VNextPrime[5.5, 100]
p13606
sg8
(lp13607
(dp13608
g11
(lp13609
sg13
V563
p13610
sg15
L5L
sass(g1693
g13284
g13575
L5L
tp13611
(dp13612
g6
VNextPrime[5, 10.5]
p13613
sg8
(lp13614
(dp13615
g11
(lp13616
sg13
V\u005ctext{NextPrime}\u005cleft[5,10.5\u005cright]
p13617
sg15
L6L
sass(g1693
g13284
VOddQ
p13618
L0L
tp13619
(dp13620
g6
VOddQ[-3]
p13621
sg8
(lp13622
(dp13623
g11
(lp13624
sg13
V\u005ctext{True}
p13625
sg15
L1L
sass(g1693
g13284
g13618
L1L
tp13626
(dp13627
g6
VOddQ[0]
p13628
sg8
(lp13629
(dp13630
g11
(lp13631
sg13
V\u005ctext{False}
p13632
sg15
L2L
sass(g1693
g13284
VPartitionsP
p13633
L0L
tp13634
(dp13635
g6
VTable[PartitionsP[k], {k, -2, 12}]
p13636
sg8
(lp13637
(dp13638
g11
(lp13639
sg13
V\u005cleft\u005c{0,0,1,1,2,3,5,7,11,15,22,30,42,56,77\u005cright\u005c}
p13640
sg15
L1L
sass(g1693
g13284
VPowerMod
p13641
L0L
tp13642
(dp13643
g6
VPowerMod[2, 10000000, 3]
p13644
sg8
(lp13645
(dp13646
g11
(lp13647
sg13
V1
p13648
sg15
L1L
sass(g1693
g13284
g13641
L1L
tp13649
(dp13650
g6
VPowerMod[3, -2, 10]
p13651
sg8
(lp13652
(dp13653
g11
(lp13654
sg13
V9
p13655
sg15
L2L
sass(g1693
g13284
g13641
L2L
tp13656
(dp13657
g6
VPowerMod[0, -1, 2]
p13658
sg8
(lp13659
(dp13660
g11
(lp13661
(dp13662
g149
I01
sg150
VPowerMod
p13663
sg152
Vninv
p13664
sg154
VPowerMod::ninv
p13665
sg156
V0 is not invertible modulo 2.
p13666
sasg13
V\u005ctext{PowerMod}\u005cleft[0,-1,2\u005cright]
p13667
sg15
L3L
sass(g1693
g13284
g13641
L3L
tp13668
(dp13669
g6
VPowerMod[5, 2, 0]
p13670
sg8
(lp13671
(dp13672
g11
(lp13673
(dp13674
g149
I01
sg150
VPowerMod
p13675
sg152
g13571
sg154
VPowerMod::divz
p13676
sg156
VThe argument 0 should be nonzero.
p13677
sasg13
V\u005ctext{PowerMod}\u005cleft[5,2,0\u005cright]
p13678
sg15
L4L
sass(g1693
g13284
VPrime
p13679
L0L
tp13680
(dp13681
g6
VPrime[1]
p13682
sg8
(lp13683
(dp13684
g11
(lp13685
sg13
V2
p13686
sg15
L1L
sass(g1693
g13284
g13679
L1L
tp13687
(dp13688
g6
VPrime[167]
p13689
sg8
(lp13690
(dp13691
g11
(lp13692
sg13
V991
p13693
sg15
L2L
sass(g1693
g13284
VPrimePi
p13694
L0L
tp13695
(dp13696
g6
VPrimePi[100]
p13697
sg8
(lp13698
(dp13699
g11
(lp13700
sg13
V25
p13701
sg15
L1L
sass(g1693
g13284
g13694
L1L
tp13702
(dp13703
g6
VPrimePi[-1]
p13704
sg8
(lp13705
(dp13706
g11
(lp13707
sg13
V0
p13708
sg15
L2L
sass(g1693
g13284
g13694
L2L
tp13709
(dp13710
g6
VPrimePi[3.5]
p13711
sg8
(lp13712
(dp13713
g11
(lp13714
sg13
V2
p13715
sg15
L3L
sass(g1693
g13284
g13694
L3L
tp13716
(dp13717
g6
VPrimePi[E]
p13718
sg8
(lp13719
(dp13720
g11
(lp13721
sg13
V1
p13722
sg15
L4L
sass(g1693
g13284
VPrimePowerQ
p13723
L0L
tp13724
(dp13725
g6
VPrimePowerQ[9]
p13726
sg8
(lp13727
(dp13728
g11
(lp13729
sg13
V\u005ctext{True}
p13730
sg15
L1L
sass(g1693
g13284
g13723
L1L
tp13731
(dp13732
g6
VPrimePowerQ[52142]
p13733
sg8
(lp13734
(dp13735
g11
(lp13736
sg13
V\u005ctext{False}
p13737
sg15
L2L
sass(g1693
g13284
g13723
L2L
tp13738
(dp13739
g6
VPrimePowerQ[-8]
p13740
sg8
(lp13741
(dp13742
g11
(lp13743
sg13
V\u005ctext{True}
p13744
sg15
L3L
sass(g1693
g13284
g13723
L3L
tp13745
(dp13746
g6
VPrimePowerQ[371293]
p13747
sg8
(lp13748
(dp13749
g11
(lp13750
sg13
V\u005ctext{True}
p13751
sg15
L4L
sass(g1693
g13284
VPrimeQ
p13752
L0L
tp13753
(dp13754
g6
VPrimeQ[2]
p13755
sg8
(lp13756
(dp13757
g11
(lp13758
sg13
V\u005ctext{True}
p13759
sg15
L1L
sass(g1693
g13284
g13752
L1L
tp13760
(dp13761
g6
VPrimeQ[-3]
p13762
sg8
(lp13763
(dp13764
g11
(lp13765
sg13
V\u005ctext{True}
p13766
sg15
L2L
sass(g1693
g13284
g13752
L2L
tp13767
(dp13768
g6
VPrimeQ[137]
p13769
sg8
(lp13770
(dp13771
g11
(lp13772
sg13
V\u005ctext{True}
p13773
sg15
L3L
sass(g1693
g13284
g13752
L3L
tp13774
(dp13775
g6
VPrimeQ[2 ^ 127 - 1]
p13776
sg8
(lp13777
(dp13778
g11
(lp13779
sg13
V\u005ctext{True}
p13780
sg15
L4L
sass(g1693
g13284
g13752
L6L
tp13781
(dp13782
g6
VSelect[Range[100], PrimeQ]
p13783
sg8
(lp13784
(dp13785
g11
(lp13786
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}
p13787
sg15
L5L
sass(g1693
g13284
g13752
L7L
tp13788
(dp13789
g6
VPrimeQ[Range[20]]
p13790
sg8
(lp13791
(dp13792
g11
(lp13793
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}
p13794
sg15
L6L
sass(g1693
g13284
VQuotient
p13795
L0L
tp13796
(dp13797
g6
VQuotient[23, 7]
p13798
sg8
(lp13799
(dp13800
g11
(lp13801
sg13
V3
p13802
sg15
L1L
sass(g1693
g13284
VQuotientRemainder
p13803
L0L
tp13804
(dp13805
g6
VQuotientRemainder[23, 7]
p13806
sg8
(lp13807
(dp13808
g11
(lp13809
sg13
V\u005cleft\u005c{3,2\u005cright\u005c}
p13810
sg15
L1L
sass(g1693
g13284
VRandomPrime
p13811
L0L
tp13812
(dp13813
g6
VRandomPrime[{14, 17}]
p13814
sg8
(lp13815
(dp13816
g11
(lp13817
sg13
V17
p13818
sg15
L1L
sass(g1693
g13284
g13811
L1L
tp13819
(dp13820
g6
VRandomPrime[{14, 16}, 1]
p13821
sg8
(lp13822
(dp13823
g11
(lp13824
(dp13825
g149
I01
sg150
VRandomPrime
p13826
sg152
Vnoprime
p13827
sg154
VRandomPrime::noprime
p13828
sg156
VThere are no primes in the specified interval.
p13829
sasg13
V\u005ctext{RandomPrime}\u005cleft[\u005cleft\u005c{14,16\u005cright\u005c},1\u005cright]
p13830
sg15
L2L
sass(g1693
g13284
g13811
L2L
tp13831
(dp13832
g6
VRandomPrime[{8,12}, 3]
p13833
sg8
(lp13834
(dp13835
g11
(lp13836
sg13
V\u005cleft\u005c{11,11,11\u005cright\u005c}
p13837
sg15
L3L
sass(g1693
g13284
g13811
L3L
tp13838
(dp13839
g6
VRandomPrime[{10,30}, {2,5}]
p13840
sg8
(lp13841
(dp13842
g11
(lp13843
sg13
V\u005cleft\u005c{\u005cleft\u005c{19,19,19,19,19\u005cright\u005c},\u005cleft\u005c{19,19,19,19,19\u005cright\u005c}\u005cright\u005c}
p13844
sg15
L4L
sass(g1693
VXML
p13845
VXML`PlaintextImport
p13846
L0L
tp13847
(dp13848
g6
VStringReplace[StringTake[Import["ExampleData/InventionNo1.xml", "Plaintext"],31],FromCharacterCode[10]->"/"]
p13849
sg8
(lp13850
(dp13851
g11
(lp13852
sg13
V\u005ctext{MuseScore 1.2/2012-09-12/5.7/40}
p13853
sg15
L1L
sass(g1693
g13845
VXML`TagsImport
p13854
L0L
tp13855
(dp13856
g6
VTake[Import["ExampleData/InventionNo1.xml", "Tags"], 10]
p13857
sg8
(lp13858
(dp13859
g11
(lp13860
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}
p13861
sg15
L1L
sass(g1693
g13845
VXML`Parser`XMLGetString
p13862
L0L
tp13863
(dp13864
g6
VHead[XML`Parser`XMLGetString["<a></a>"]]
p13865
sg8
(lp13866
(dp13867
g11
(lp13868
sg13
V\u005ctext{XMLObject}\u005cleft[\u005ctext{Document}\u005cright]
p13869
sg15
L1L
sass(g1693
g13845
VXML`XMLObjectImport
p13870
L0L
tp13871
(dp13872
g6
VPart[Import["ExampleData/InventionNo1.xml", "XMLObject"], 2, 3, 1]
p13873
sg8
(lp13874
(dp13875
g11
(lp13876
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]
p13877
sg15
L1L
sass(g1693
g13845
g13870
L1L
tp13878
(dp13879
g6
VPart[Import["ExampleData/Namespaces.xml"], 2]
p13880
sg8
(lp13881
(dp13882
g11
(lp13883
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]
p13884
sg15
L2L
sass(g1693
VDifferential Equations
p13885
VDSolve
p13886
L0L
tp13887
(dp13888
g6
VDSolve[y''[x] == 0, y[x], x]
p13889
sg8
(lp13890
(dp13891
g11
(lp13892
sg13
V\u005cleft\u005c{\u005cleft\u005c{y\u005cleft[x\u005cright]->x C\u005cleft[2\u005cright]+C\u005cleft[1\u005cright]\u005cright\u005c}\u005cright\u005c}
p13893
sg15
L1L
sass(g1693
g13885
g13886
L1L
tp13894
(dp13895
g6
VDSolve[y''[x] == y[x], y[x], x]
p13896
sg8
(lp13897
(dp13898
g11
(lp13899
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}
p13900
sg15
L2L
sass(g1693
g13885
g13886
L2L
tp13901
(dp13902
g6
VDSolve[y''[x] == y[x], y, x]
p13903
sg8
(lp13904
(dp13905
g11
(lp13906
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}
p13907
sg15
L3L
sass(g1693
g13885
g13886
L3L
tp13908
(dp13909
g6
VDSolve[D[f[x, y], x] / f[x, y] + 3 D[f[x, y], y] / f[x, y] == 2, f, {x, y}]
p13910
sg8
(lp13911
(dp13912
g11
(lp13913
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}
p13914
sg15
L4L
sass(g1693
g13885
g13886
L4L
tp13915
(dp13916
g6
VDSolve[D[f[x, y], x] x + D[f[x, y], y] y == 2, f[x, y], {x, y}]
p13917
sg8
(lp13918
(dp13919
g11
(lp13920
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}
p13921
sg15
L5L
sass(g1693
g13885
g13886
L5L
tp13922
(dp13923
g6
VDSolve[D[y[x, t], t] + 2 D[y[x, t], x] == 0, y[x, t], {x, t}]
p13924
sg8
(lp13925
(dp13926
g11
(lp13927
sg13
V\u005cleft\u005c{\u005cleft\u005c{y\u005cleft[x,t\u005cright]->C\u005cleft[1\u005cright]\u005cleft[-2 t+x\u005cright]\u005cright\u005c}\u005cright\u005c}
p13928
sg15
L6L
sass(g1693
VStrings and Characters
p13929
VCharacterRange
p13930
L0L
tp13931
(dp13932
g6
VCharacterRange["a", "e"]
p13933
sg8
(lp13934
(dp13935
g11
(lp13936
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d},\u005ctext{e}\u005cright\u005c}
p13937
sg15
L1L
sass(g1693
g13929
g13930
L1L
tp13938
(dp13939
g6
VCharacterRange["b", "a"]
p13940
sg8
(lp13941
(dp13942
g11
(lp13943
sg13
V\u005cleft\u005c{\u005cright\u005c}
p13944
sg15
L2L
sass(g1693
g13929
VCharacters
p13945
L0L
tp13946
(dp13947
g6
VCharacters["abc"]
p13948
sg8
(lp13949
(dp13950
g11
(lp13951
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p13952
sg15
L1L
sass(g1693
g13929
VDamerauLevenshteinDistance
p13953
L0L
tp13954
(dp13955
g6
VDamerauLevenshteinDistance["kitten", "kitchen"]
p13956
sg8
(lp13957
(dp13958
g11
(lp13959
sg13
V2
p13960
sg15
L1L
sass(g1693
g13929
g13953
L1L
tp13961
(dp13962
g6
VDamerauLevenshteinDistance["abc", "ac"]
p13963
sg8
(lp13964
(dp13965
g11
(lp13966
sg13
V1
p13967
sg15
L2L
sass(g1693
g13929
g13953
L2L
tp13968
(dp13969
g6
VDamerauLevenshteinDistance["abc", "acb"]
p13970
sg8
(lp13971
(dp13972
g11
(lp13973
sg13
V1
p13974
sg15
L3L
sass(g1693
g13929
g13953
L3L
tp13975
(dp13976
g6
VDamerauLevenshteinDistance["azbc", "abxyc"]
p13977
sg8
(lp13978
(dp13979
g11
(lp13980
sg13
V3
p13981
sg15
L4L
sass(g1693
g13929
g13953
L4L
tp13982
(dp13983
g6
VDamerauLevenshteinDistance["time", "Thyme"]
p13984
sg8
(lp13985
(dp13986
g11
(lp13987
sg13
V3
p13988
sg15
L5L
sass(g1693
g13929
g13953
L5L
tp13989
(dp13990
g6
VDamerauLevenshteinDistance["time", "Thyme", IgnoreCase -> True]
p13991
sg8
(lp13992
(dp13993
g11
(lp13994
sg13
V2
p13995
sg15
L6L
sass(g1693
g13929
g13953
L6L
tp13996
(dp13997
g6
VDamerauLevenshteinDistance[{1, E, 2, Pi}, {1, E, Pi, 2}]
p13998
sg8
(lp13999
(dp14000
g11
(lp14001
sg13
V1
p14002
sg15
L7L
sass(g1693
g13929
VDigitCharacter
p14003
L0L
tp14004
(dp14005
g6
VStringMatchQ["1", DigitCharacter]
p14006
sg8
(lp14007
(dp14008
g11
(lp14009
sg13
V\u005ctext{True}
p14010
sg15
L1L
sass(g1693
g13929
g14003
L1L
tp14011
(dp14012
g6
VStringMatchQ["a", DigitCharacter]
p14013
sg8
(lp14014
(dp14015
g11
(lp14016
sg13
V\u005ctext{False}
p14017
sg15
L2L
sass(g1693
g13929
g14003
L2L
tp14018
(dp14019
g6
VStringMatchQ["12", DigitCharacter]
p14020
sg8
(lp14021
(dp14022
g11
(lp14023
sg13
V\u005ctext{False}
p14024
sg15
L3L
sass(g1693
g13929
g14003
L3L
tp14025
(dp14026
g6
VStringMatchQ["123245", DigitCharacter..]
p14027
sg8
(lp14028
(dp14029
g11
(lp14030
sg13
V\u005ctext{True}
p14031
sg15
L4L
sass(g1693
g13929
VDigitQ
p14032
L0L
tp14033
(dp14034
g6
VDigitQ["9"]
p14035
sg8
(lp14036
(dp14037
g11
(lp14038
sg13
V\u005ctext{True}
p14039
sg15
L1L
sass(g1693
g13929
g14032
L1L
tp14040
(dp14041
g6
VDigitQ["a"]
p14042
sg8
(lp14043
(dp14044
g11
(lp14045
sg13
V\u005ctext{False}
p14046
sg15
L2L
sass(g1693
g13929
g14032
L2L
tp14047
(dp14048
g6
VDigitQ["01001101011000010111010001101000011010010110001101110011"]
p14049
sg8
(lp14050
(dp14051
g11
(lp14052
sg13
V\u005ctext{True}
p14053
sg15
L3L
sass(g1693
g13929
g14032
L3L
tp14054
(dp14055
g6
VDigitQ["-123456789"]
p14056
sg8
(lp14057
(dp14058
g11
(lp14059
sg13
V\u005ctext{False}
p14060
sg15
L4L
sass(g1693
g13929
VEditDistance
p14061
L0L
tp14062
(dp14063
g6
VEditDistance["kitten", "kitchen"]
p14064
sg8
(lp14065
(dp14066
g11
(lp14067
sg13
V2
p14068
sg15
L1L
sass(g1693
g13929
g14061
L1L
tp14069
(dp14070
g6
VEditDistance["abc", "ac"]
p14071
sg8
(lp14072
(dp14073
g11
(lp14074
sg13
V1
p14075
sg15
L2L
sass(g1693
g13929
g14061
L2L
tp14076
(dp14077
g6
VEditDistance["abc", "acb"]
p14078
sg8
(lp14079
(dp14080
g11
(lp14081
sg13
V2
p14082
sg15
L3L
sass(g1693
g13929
g14061
L3L
tp14083
(dp14084
g6
VEditDistance["azbc", "abxyc"]
p14085
sg8
(lp14086
(dp14087
g11
(lp14088
sg13
V3
p14089
sg15
L4L
sass(g1693
g13929
g14061
L4L
tp14090
(dp14091
g6
VEditDistance["time", "Thyme"]
p14092
sg8
(lp14093
(dp14094
g11
(lp14095
sg13
V3
p14096
sg15
L5L
sass(g1693
g13929
g14061
L5L
tp14097
(dp14098
g6
VEditDistance["time", "Thyme", IgnoreCase -> True]
p14099
sg8
(lp14100
(dp14101
g11
(lp14102
sg13
V2
p14103
sg15
L6L
sass(g1693
g13929
g14061
L6L
tp14104
(dp14105
g6
VEditDistance[{1, E, 2, Pi}, {1, E, Pi, 2}]
p14106
sg8
(lp14107
(dp14108
g11
(lp14109
sg13
V2
p14110
sg15
L7L
sass(g1693
g13929
VEndOfLine
p14111
L0L
tp14112
(dp14113
g6
VStringReplace["aba\u005cnbba\u005cna\u005cnab", "a" ~~ EndOfLine -> "c"]
p14114
sg8
(lp14115
(dp14116
g11
(lp14117
sg13
V\u005ctext{abc\u005cnewline\u000abbc\u005cnewline\u000ac\u005cnewline\u000aab}
p14118
sg15
L1L
sass(g1693
g13929
g14111
L1L
tp14119
(dp14120
g6
VStringSplit["abc\u005cndef\u005cnhij", EndOfLine]
p14121
sg8
(lp14122
(dp14123
g11
(lp14124
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{\u005cnewline\u000adef},\u005ctext{\u005cnewline\u000ahij}\u005cright\u005c}
p14125
sg15
L2L
sass(g1693
g13929
VEndOfString
p14126
L0L
tp14127
(dp14128
g6
VStringMatchQ[#, __ ~~ "e" ~~ EndOfString] &/@ {"apple", "banana", "artichoke"}
p14129
sg8
(lp14130
(dp14131
g11
(lp14132
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p14133
sg15
L1L
sass(g1693
g13929
g14126
L1L
tp14134
(dp14135
g6
VStringReplace["aab\u005cnabb", "b" ~~ EndOfString -> "c"]
p14136
sg8
(lp14137
(dp14138
g11
(lp14139
sg13
V\u005ctext{aab\u005cnewline\u000aabc}
p14140
sg15
L2L
sass(g1693
g13929
VFromCharacterCode
p14141
L0L
tp14142
(dp14143
g6
VFromCharacterCode[100]
p14144
sg8
(lp14145
(dp14146
g11
(lp14147
sg13
V\u005ctext{d}
p14148
sg15
L1L
sass(g1693
g13929
g14141
L1L
tp14149
(dp14150
g6
VFromCharacterCode[228, "ISO8859-1"]
p14151
sg8
(lp14152
(dp14153
g11
(lp14154
sg13
V\u005ctext{}
p14155
sg15
L2L
sass(g1693
g13929
g14141
L2L
tp14156
(dp14157
g6
VFromCharacterCode[{100, 101, 102}]
p14158
sg8
(lp14159
(dp14160
g11
(lp14161
sg13
V\u005ctext{def}
p14162
sg15
L3L
sass(g1693
g13929
g14141
L3L
tp14163
(dp14164
g6
VToCharacterCode[%]
p14165
sg8
(lp14166
(dp14167
g11
(lp14168
sg13
V\u005cleft\u005c{100,101,102\u005cright\u005c}
p14169
sg15
L4L
sass(g1693
g13929
g14141
L4L
tp14170
(dp14171
g6
VFromCharacterCode[{{97, 98, 99}, {100, 101, 102}}]
p14172
sg8
(lp14173
(dp14174
g11
(lp14175
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{def}\u005cright\u005c}
p14176
sg15
L5L
sass(g1693
g13929
g14141
L5L
tp14177
(dp14178
g6
VToCharacterCode["abc 123"] // FromCharacterCode
p14179
sg8
(lp14180
(dp14181
g11
(lp14182
sg13
V\u005ctext{abc 123}
p14183
sg15
L6L
sass(g1693
g13929
VHammingDistance
p14184
L0L
tp14185
(dp14186
g6
VHammingDistance[{1, 0, 1, 0}, {1, 0, 0, 1}]
p14187
sg8
(lp14188
(dp14189
g11
(lp14190
sg13
V2
p14191
sg15
L1L
sass(g1693
g13929
g14184
L1L
tp14192
(dp14193
g6
VHammingDistance["time", "dime"]
p14194
sg8
(lp14195
(dp14196
g11
(lp14197
sg13
V1
p14198
sg15
L2L
sass(g1693
g13929
g14184
L2L
tp14199
(dp14200
g6
VHammingDistance["TIME", "dime", IgnoreCase -> True]
p14201
sg8
(lp14202
(dp14203
g11
(lp14204
sg13
V1
p14205
sg15
L3L
sass(g1693
g13929
VHexidecimalCharacter
p14206
L0L
tp14207
(dp14208
g6
VStringMatchQ[#, HexidecimalCharacter] & /@ {"a", "1", "A", "x", "H", " ", "."}
p14209
sg8
(lp14210
(dp14211
g11
(lp14212
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14213
sg15
L1L
sass(g1693
g13929
VLetterCharacter
p14214
L0L
tp14215
(dp14216
g6
VStringMatchQ[#, LetterCharacter] & /@ {"a", "1", "A", " ", "."}
p14217
sg8
(lp14218
(dp14219
g11
(lp14220
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14221
sg15
L1L
sass(g1693
g13929
g14214
L1L
tp14222
(dp14223
g6
VStringMatchQ["\u005c[Lambda]", LetterCharacter]
p14224
sg8
(lp14225
(dp14226
g11
(lp14227
sg13
V\u005ctext{True}
p14228
sg15
L2L
sass(g1693
g13929
VLetterQ
p14229
L0L
tp14230
(dp14231
g6
VLetterQ["m"]
p14232
sg8
(lp14233
(dp14234
g11
(lp14235
sg13
V\u005ctext{True}
p14236
sg15
L1L
sass(g1693
g13929
g14229
L1L
tp14237
(dp14238
g6
VLetterQ["9"]
p14239
sg8
(lp14240
(dp14241
g11
(lp14242
sg13
V\u005ctext{False}
p14243
sg15
L2L
sass(g1693
g13929
g14229
L2L
tp14244
(dp14245
g6
VLetterQ["Mathics"]
p14246
sg8
(lp14247
(dp14248
g11
(lp14249
sg13
V\u005ctext{True}
p14250
sg15
L3L
sass(g1693
g13929
g14229
L3L
tp14251
(dp14252
g6
VLetterQ["Welcome to Mathics"]
p14253
sg8
(lp14254
(dp14255
g11
(lp14256
sg13
V\u005ctext{False}
p14257
sg15
L4L
sass(g1693
g13929
VLowerCaseQ
p14258
L0L
tp14259
(dp14260
g6
VLowerCaseQ["abc"]
p14261
sg8
(lp14262
(dp14263
g11
(lp14264
sg13
V\u005ctext{True}
p14265
sg15
L1L
sass(g1693
g13929
g14258
L1L
tp14266
(dp14267
g6
VLowerCaseQ[""]
p14268
sg8
(lp14269
(dp14270
g11
(lp14271
sg13
V\u005ctext{True}
p14272
sg15
L2L
sass(g1693
g13929
VNumberString
p14273
L0L
tp14274
(dp14275
g6
VStringMatchQ["1234", NumberString]
p14276
sg8
(lp14277
(dp14278
g11
(lp14279
sg13
V\u005ctext{True}
p14280
sg15
L1L
sass(g1693
g13929
g14273
L1L
tp14281
(dp14282
g6
VStringMatchQ["1234.5", NumberString]
p14283
sg8
(lp14284
(dp14285
g11
(lp14286
sg13
V\u005ctext{True}
p14287
sg15
L2L
sass(g1693
g13929
g14273
L2L
tp14288
(dp14289
g6
VStringMatchQ["1.2`20", NumberString]
p14290
sg8
(lp14291
(dp14292
g11
(lp14293
sg13
V\u005ctext{False}
p14294
sg15
L3L
sass(g1693
g13929
VRegularExpression
p14295
L0L
tp14296
(dp14297
g6
VStringSplit["1.23, 4.56  7.89", RegularExpression["(\u005c\u005cs|,)+"]]
p14298
sg8
(lp14299
(dp14300
g11
(lp14301
sg13
V\u005cleft\u005c{\u005ctext{1.23},\u005ctext{4.56},\u005ctext{7.89}\u005cright\u005c}
p14302
sg15
L1L
sass(g1693
g13929
VRemoveDiacritics
p14303
L0L
tp14304
(dp14305
g6
VRemoveDiacritics["en prononant pcher et pcher"]
p14306
sg8
(lp14307
(dp14308
g11
(lp14309
sg13
V\u005ctext{en prononcant pecher et pecher}
p14310
sg15
L1L
sass(g1693
g13929
g14303
L1L
tp14311
(dp14312
g6
VRemoveDiacritics["piata"]
p14313
sg8
(lp14314
(dp14315
g11
(lp14316
sg13
V\u005ctext{pinata}
p14317
sg15
L2L
sass(g1693
g13929
VStartOfLine
p14318
L0L
tp14319
(dp14320
g6
VStringReplace["aba\u005cnbba\u005cna\u005cnab", StartOfLine ~~ "a" -> "c"]
p14321
sg8
(lp14322
(dp14323
g11
(lp14324
sg13
V\u005ctext{cba\u005cnewline\u000abba\u005cnewline\u000ac\u005cnewline\u000acb}
p14325
sg15
L1L
sass(g1693
g13929
g14318
L1L
tp14326
(dp14327
g6
VStringSplit["abc\u005cndef\u005cnhij", StartOfLine]
p14328
sg8
(lp14329
(dp14330
g11
(lp14331
sg13
V\u005cleft\u005c{\u005ctext{abc\u005cnewline\u000a},\u005ctext{def\u005cnewline\u000a},\u005ctext{hij}\u005cright\u005c}
p14332
sg15
L2L
sass(g1693
g13929
VStartOfString
p14333
L0L
tp14334
(dp14335
g6
VStringMatchQ[#, StartOfString ~~ "a" ~~ __] &/@ {"apple", "banana", "artichoke"}
p14336
sg8
(lp14337
(dp14338
g11
(lp14339
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p14340
sg15
L1L
sass(g1693
g13929
g14333
L1L
tp14341
(dp14342
g6
VStringReplace["aba\u005cnabb", StartOfString ~~ "a" -> "c"]
p14343
sg8
(lp14344
(dp14345
g11
(lp14346
sg13
V\u005ctext{cba\u005cnewline\u000aabb}
p14347
sg15
L2L
sass(g1693
g13929
VStringCases
p14348
L0L
tp14349
(dp14350
g6
VStringCases["axbaxxb", "a" ~~ x_ ~~ "b"]
p14351
sg8
(lp14352
(dp14353
g11
(lp14354
sg13
V\u005cleft\u005c{\u005ctext{axb}\u005cright\u005c}
p14355
sg15
L1L
sass(g1693
g13929
g14348
L1L
tp14356
(dp14357
g6
VStringCases["axbaxxb", "a" ~~ x__ ~~ "b"]
p14358
sg8
(lp14359
(dp14360
g11
(lp14361
sg13
V\u005cleft\u005c{\u005ctext{axbaxxb}\u005cright\u005c}
p14362
sg15
L2L
sass(g1693
g13929
g14348
L2L
tp14363
(dp14364
g6
VStringCases["axbaxxb", Shortest["a" ~~ x__ ~~ "b"]]
p14365
sg8
(lp14366
(dp14367
g11
(lp14368
sg13
V\u005cleft\u005c{\u005ctext{axb},\u005ctext{axxb}\u005cright\u005c}
p14369
sg15
L3L
sass(g1693
g13929
g14348
L3L
tp14370
(dp14371
g6
VStringCases["-abc- def -uvw- xyz", Shortest["-" ~~ x__ ~~ "-"] -> x]
p14372
sg8
(lp14373
(dp14374
g11
(lp14375
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{uvw}\u005cright\u005c}
p14376
sg15
L4L
sass(g1693
g13929
g14348
L4L
tp14377
(dp14378
g6
VStringCases["-hi- -abc- -.-", "-" ~~ x : WordCharacter .. ~~ "-" -> x]
p14379
sg8
(lp14380
(dp14381
g11
(lp14382
sg13
V\u005cleft\u005c{\u005ctext{hi},\u005ctext{abc}\u005cright\u005c}
p14383
sg15
L5L
sass(g1693
g13929
g14348
L5L
tp14384
(dp14385
g6
VStringCases["abc-abc xyz-uvw", Shortest[x : WordCharacter .. ~~ "-" ~~ x_] -> x]
p14386
sg8
(lp14387
(dp14388
g11
(lp14389
sg13
V\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}
p14390
sg15
L6L
sass(g1693
g13929
g14348
L7L
tp14391
(dp14392
g6
VStringCases["abba", {"a" -> 10, "b" -> 20}, 2]
p14393
sg8
(lp14394
(dp14395
g11
(lp14396
sg13
V\u005cleft\u005c{10,20\u005cright\u005c}
p14397
sg15
L7L
sass(g1693
g13929
g14348
L8L
tp14398
(dp14399
g6
VStringCases["a#_123", WordCharacter]
p14400
sg8
(lp14401
(dp14402
g11
(lp14403
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{},\u005ctext{1},\u005ctext{2},\u005ctext{3}\u005cright\u005c}
p14404
sg15
L8L
sass(g1693
g13929
g14348
L9L
tp14405
(dp14406
g6
VStringCases["a#_123", LetterCharacter]
p14407
sg8
(lp14408
(dp14409
g11
(lp14410
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{}\u005cright\u005c}
p14411
sg15
L9L
sass(g1693
g13929
VStringContainsQ
p14412
L0L
tp14413
(dp14414
g6
VStringContainsQ["mathics", "m" ~~ __ ~~ "s"]
p14415
sg8
(lp14416
(dp14417
g11
(lp14418
sg13
V\u005ctext{True}
p14419
sg15
L1L
sass(g1693
g13929
g14412
L1L
tp14420
(dp14421
g6
VStringContainsQ["mathics", "a" ~~ __ ~~ "m"]
p14422
sg8
(lp14423
(dp14424
g11
(lp14425
sg13
V\u005ctext{False}
p14426
sg15
L2L
sass(g1693
g13929
g14412
L5L
tp14427
(dp14428
g6
VStringContainsQ["Mathics", "MA" , IgnoreCase -> True]
p14429
sg8
(lp14430
(dp14431
g11
(lp14432
sg13
V\u005ctext{True}
p14433
sg15
L3L
sass(g1693
g13929
g14412
L11L
tp14434
(dp14435
g6
VStringContainsQ[{"g", "a", "laxy", "universe", "sun"}, "u"]
p14436
sg8
(lp14437
(dp14438
g11
(lp14439
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{True}\u005cright\u005c}
p14440
sg15
L4L
sass(g1693
g13929
g14412
L13L
tp14441
(dp14442
g6
VStringContainsQ["e" ~~ ___ ~~ "u"] /@ {"The Sun", "Mercury", "Venus", "Earth", "Mars", "Jupiter", "Saturn", "Uranus", "Neptune"}
p14443
sg8
(lp14444
(dp14445
g11
(lp14446
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True}\u005cright\u005c}
p14447
sg15
L5L
sass(g1693
g13929
VStringDrop
p14448
L0L
tp14449
(dp14450
g6
VStringDrop["abcde", 2]
p14451
sg8
(lp14452
(dp14453
g11
(lp14454
sg13
V\u005ctext{cde}
p14455
sg15
L1L
sass(g1693
g13929
g14448
L1L
tp14456
(dp14457
g6
VStringDrop["abcde", -2]
p14458
sg8
(lp14459
(dp14460
g11
(lp14461
sg13
V\u005ctext{abc}
p14462
sg15
L2L
sass(g1693
g13929
g14448
L2L
tp14463
(dp14464
g6
VStringDrop["abcde", {2}]
p14465
sg8
(lp14466
(dp14467
g11
(lp14468
sg13
V\u005ctext{acde}
p14469
sg15
L3L
sass(g1693
g13929
g14448
L3L
tp14470
(dp14471
g6
VStringDrop["abcde", {2,3}]
p14472
sg8
(lp14473
(dp14474
g11
(lp14475
sg13
V\u005ctext{ade}
p14476
sg15
L4L
sass(g1693
g13929
g14448
L4L
tp14477
(dp14478
g6
VStringDrop["abcd",{3,2}]
p14479
sg8
(lp14480
(dp14481
g11
(lp14482
sg13
V\u005ctext{abcd}
p14483
sg15
L5L
sass(g1693
g13929
g14448
L5L
tp14484
(dp14485
g6
VStringDrop["abcd",0]
p14486
sg8
(lp14487
(dp14488
g11
(lp14489
sg13
V\u005ctext{abcd}
p14490
sg15
L6L
sass(g1693
g13929
VStringExpression
p14491
L0L
tp14492
(dp14493
g6
V"a" ~~ "b" // FullForm
p14494
sg8
(lp14495
(dp14496
g11
(lp14497
sg13
V\u005ctext{"ab"}
p14498
sg15
L1L
sass(g1693
g13929
VStringFreeQ
p14499
L0L
tp14500
(dp14501
g6
VStringFreeQ["mathics", "m" ~~ __ ~~ "s"]
p14502
sg8
(lp14503
(dp14504
g11
(lp14505
sg13
V\u005ctext{False}
p14506
sg15
L1L
sass(g1693
g13929
g14499
L1L
tp14507
(dp14508
g6
VStringFreeQ["mathics", "a" ~~ __ ~~ "m"]
p14509
sg8
(lp14510
(dp14511
g11
(lp14512
sg13
V\u005ctext{True}
p14513
sg15
L2L
sass(g1693
g13929
g14499
L5L
tp14514
(dp14515
g6
VStringFreeQ["Mathics", "MA" , IgnoreCase -> True]
p14516
sg8
(lp14517
(dp14518
g11
(lp14519
sg13
V\u005ctext{False}
p14520
sg15
L3L
sass(g1693
g13929
g14499
L11L
tp14521
(dp14522
g6
VStringFreeQ[{"g", "a", "laxy", "universe", "sun"}, "u"]
p14523
sg8
(lp14524
(dp14525
g11
(lp14526
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14527
sg15
L4L
sass(g1693
g13929
g14499
L13L
tp14528
(dp14529
g6
VStringFreeQ["e" ~~ ___ ~~ "u"] /@ {"The Sun", "Mercury", "Venus", "Earth", "Mars", "Jupiter", "Saturn", "Uranus", "Neptune"}
p14530
sg8
(lp14531
(dp14532
g11
(lp14533
sg13
V\u005cleft\u005c{\u005ctext{False},\u005ctext{False},\u005ctext{False},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False}\u005cright\u005c}
p14534
sg15
L5L
sass(g1693
g13929
g14499
L15L
tp14535
(dp14536
g6
VStringFreeQ[{"A", "Galaxy", "Far", "Far", "Away"}, {"F" ~~ __ ~~ "r", "aw" ~~ ___}, IgnoreCase -> True]
p14537
sg8
(lp14538
(dp14539
g11
(lp14540
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p14541
sg15
L6L
sass(g1693
g13929
VStringInsert
p14542
L0L
tp14543
(dp14544
g6
VStringInsert["noting", "h", 4]
p14545
sg8
(lp14546
(dp14547
g11
(lp14548
sg13
V\u005ctext{nothing}
p14549
sg15
L1L
sass(g1693
g13929
g14542
L6L
tp14550
(dp14551
g6
VStringInsert["note", "d", -1]
p14552
sg8
(lp14553
(dp14554
g11
(lp14555
sg13
V\u005ctext{noted}
p14556
sg15
L2L
sass(g1693
g13929
g14542
L7L
tp14557
(dp14558
g6
VStringInsert["here", "t", -5]
p14559
sg8
(lp14560
(dp14561
g11
(lp14562
sg13
V\u005ctext{there}
p14563
sg15
L3L
sass(g1693
g13929
g14542
L9L
tp14564
(dp14565
g6
VStringInsert["adac", "he", {1, 5}]
p14566
sg8
(lp14567
(dp14568
g11
(lp14569
sg13
V\u005ctext{headache}
p14570
sg15
L4L
sass(g1693
g13929
g14542
L18L
tp14571
(dp14572
g6
VStringInsert[{"something", "sometimes"}, " ", 5]
p14573
sg8
(lp14574
(dp14575
g11
(lp14576
sg13
V\u005cleft\u005c{\u005ctext{some thing},\u005ctext{some times}\u005cright\u005c}
p14577
sg15
L5L
sass(g1693
g13929
g14542
L24L
tp14578
(dp14579
g6
VStringInsert["1234567890123456", ".", Range[-16, -4, 3]]
p14580
sg8
(lp14581
(dp14582
g11
(lp14583
sg13
V\u005ctext{1.234.567.890.123.456}
p14584
sg15
L6L
sass(g1693
g13929
VStringJoin
p14585
L0L
tp14586
(dp14587
g6
VStringJoin["a", "b", "c"]
p14588
sg8
(lp14589
(dp14590
g11
(lp14591
sg13
V\u005ctext{abc}
p14592
sg15
L1L
sass(g1693
g13929
g14585
L1L
tp14593
(dp14594
g6
V"a" <> "b" <> "c" // InputForm
p14595
sg8
(lp14596
(dp14597
g11
(lp14598
sg13
V\u005ctext{"abc"}
p14599
sg15
L2L
sass(g1693
g13929
g14585
L2L
tp14600
(dp14601
g6
VStringJoin[{"a", "b"}] // InputForm
p14602
sg8
(lp14603
(dp14604
g11
(lp14605
sg13
V\u005ctext{"ab"}
p14606
sg15
L3L
sass(g1693
g13929
g14585
L3L
tp14607
(dp14608
g6
VPrint[StringJoin[{"Hello", " ", {"world"}}, "!"]]
p14609
sg8
(lp14610
(dp14611
g11
(lp14612
(dp14613
g149
I00
sg156
VHello world!
p14614
sasg13
Nsg15
L4L
sass(g1693
g13929
VStringLength
p14615
L0L
tp14616
(dp14617
g6
VStringLength["abc"]
p14618
sg8
(lp14619
(dp14620
g11
(lp14621
sg13
V3
p14622
sg15
L1L
sass(g1693
g13929
g14615
L1L
tp14623
(dp14624
g6
VStringLength[{"a", "bc"}]
p14625
sg8
(lp14626
(dp14627
g11
(lp14628
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p14629
sg15
L2L
sass(g1693
g13929
g14615
L2L
tp14630
(dp14631
g6
VStringLength[x]
p14632
sg8
(lp14633
(dp14634
g11
(lp14635
(dp14636
g149
I01
sg150
VStringLength
p14637
sg152
g384
sg154
VStringLength::string
p14638
sg156
g386
sasg13
V\u005ctext{StringLength}\u005cleft[x\u005cright]
p14639
sg15
L3L
sass(g1693
g13929
VStringMatchQ
p14640
L0L
tp14641
(dp14642
g6
VStringMatchQ["abc", "abc"]
p14643
sg8
(lp14644
(dp14645
g11
(lp14646
sg13
V\u005ctext{True}
p14647
sg15
L1L
sass(g1693
g13929
g14640
L1L
tp14648
(dp14649
g6
VStringMatchQ["abc", "abd"]
p14650
sg8
(lp14651
(dp14652
g11
(lp14653
sg13
V\u005ctext{False}
p14654
sg15
L2L
sass(g1693
g13929
g14640
L2L
tp14655
(dp14656
g6
VStringMatchQ["15a94xcZ6", (DigitCharacter | LetterCharacter)..]
p14657
sg8
(lp14658
(dp14659
g11
(lp14660
sg13
V\u005ctext{True}
p14661
sg15
L3L
sass(g1693
g13929
g14640
L8L
tp14662
(dp14663
g6
VStringMatchQ[LetterCharacter]["a"]
p14664
sg8
(lp14665
(dp14666
g11
(lp14667
sg13
V\u005ctext{True}
p14668
sg15
L4L
sass(g1693
g13929
VStringPosition
p14669
L0L
tp14670
(dp14671
g6
VStringPosition["123ABCxyABCzzzABCABC", "ABC"]
p14672
sg8
(lp14673
(dp14674
g11
(lp14675
sg13
V\u005cleft\u005c{\u005cleft\u005c{4,6\u005cright\u005c},\u005cleft\u005c{9,11\u005cright\u005c},\u005cleft\u005c{15,17\u005cright\u005c},\u005cleft\u005c{18,20\u005cright\u005c}\u005cright\u005c}
p14676
sg15
L1L
sass(g1693
g13929
g14669
L1L
tp14677
(dp14678
g6
VStringPosition["123ABCxyABCzzzABCABC", "ABC", 2]
p14679
sg8
(lp14680
(dp14681
g11
(lp14682
sg13
V\u005cleft\u005c{\u005cleft\u005c{4,6\u005cright\u005c},\u005cleft\u005c{9,11\u005cright\u005c}\u005cright\u005c}
p14683
sg15
L2L
sass(g1693
g13929
g14669
L2L
tp14684
(dp14685
g6
Vdata = Import["ExampleData/EinsteinSzilLetter.txt"];
p14686
sg8
(lp14687
(dp14688
g11
(lp14689
sg13
Nsg15
L3L
sass(g1693
g13929
g14669
L3L
tp14690
(dp14691
g6
VStringPosition[data, "uranium"]
p14692
sg8
(lp14693
(dp14694
g11
(lp14695
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}
p14696
sg15
L4L
sass(g1693
g13929
VStringQ
p14697
L0L
tp14698
(dp14699
g6
VStringQ["abc"]
p14700
sg8
(lp14701
(dp14702
g11
(lp14703
sg13
V\u005ctext{True}
p14704
sg15
L1L
sass(g1693
g13929
g14697
L1L
tp14705
(dp14706
g6
VStringQ[1.5]
p14707
sg8
(lp14708
(dp14709
g11
(lp14710
sg13
V\u005ctext{False}
p14711
sg15
L2L
sass(g1693
g13929
g14697
L2L
tp14712
(dp14713
g6
VSelect[{"12", 1, 3, 5, "yz", x, y}, StringQ]
p14714
sg8
(lp14715
(dp14716
g11
(lp14717
sg13
V\u005cleft\u005c{\u005ctext{12},\u005ctext{yz}\u005cright\u005c}
p14718
sg15
L3L
sass(g1693
g13929
VStringRepeat
p14719
L0L
tp14720
(dp14721
g6
VStringRepeat["abc", 3]
p14722
sg8
(lp14723
(dp14724
g11
(lp14725
sg13
V\u005ctext{abcabcabc}
p14726
sg15
L1L
sass(g1693
g13929
g14719
L1L
tp14727
(dp14728
g6
VStringRepeat["abc", 10, 7]
p14729
sg8
(lp14730
(dp14731
g11
(lp14732
sg13
V\u005ctext{abcabca}
p14733
sg15
L2L
sass(g1693
g13929
VStringReplace
p14734
L0L
tp14735
(dp14736
g6
VStringReplace["xyxyxyyyxxxyyxy", "xy" -> "A"]
p14737
sg8
(lp14738
(dp14739
g11
(lp14740
sg13
V\u005ctext{AAAyyxxAyA}
p14741
sg15
L1L
sass(g1693
g13929
g14734
L1L
tp14742
(dp14743
g6
VStringReplace["xyzwxyzwxxyzxyzw", {"xyz" -> "A", "w" -> "BCD"}]
p14744
sg8
(lp14745
(dp14746
g11
(lp14747
sg13
V\u005ctext{ABCDABCDxAABCD}
p14748
sg15
L2L
sass(g1693
g13929
g14734
L2L
tp14749
(dp14750
g6
VStringReplace["xyxyxyyyxxxyyxy", "xy" -> "A", 2]
p14751
sg8
(lp14752
(dp14753
g11
(lp14754
sg13
V\u005ctext{AAxyyyxxxyyxy}
p14755
sg15
L3L
sass(g1693
g13929
g14734
L3L
tp14756
(dp14757
g6
VStringReplace["abba", {"a" -> "A", "b" -> "B"}, 2]
p14758
sg8
(lp14759
(dp14760
g11
(lp14761
sg13
V\u005ctext{ABba}
p14762
sg15
L4L
sass(g1693
g13929
g14734
L4L
tp14763
(dp14764
g6
VStringReplace[{"xyxyxxy", "yxyxyxxxyyxy"}, "xy" -> "A"]
p14765
sg8
(lp14766
(dp14767
g11
(lp14768
sg13
V\u005cleft\u005c{\u005ctext{AAxA},\u005ctext{yAAxxAyA}\u005cright\u005c}
p14769
sg15
L5L
sass(g1693
g13929
g14734
L20L
tp14770
(dp14771
g6
VStringReplace["y" -> "ies"]["city"]
p14772
sg8
(lp14773
(dp14774
g11
(lp14775
sg13
V\u005ctext{cities}
p14776
sg15
L6L
sass(g1693
g13929
VStringRiffle
p14777
L0L
tp14778
(dp14779
g6
VStringRiffle[{"a", "b", "c", "d", "e"}]
p14780
sg8
(lp14781
(dp14782
g11
(lp14783
sg13
V\u005ctext{a b c d e}
p14784
sg15
L1L
sass(g1693
g13929
g14777
L5L
tp14785
(dp14786
g6
VStringRiffle[{"a", "b", "c", "d", "e"}, ", "]
p14787
sg8
(lp14788
(dp14789
g11
(lp14790
sg13
V\u005ctext{a, b, c, d, e}
p14791
sg15
L2L
sass(g1693
g13929
g14777
L7L
tp14792
(dp14793
g6
VStringRiffle[{"a", "b", "c", "d", "e"}, {"(", " ", ")"}]
p14794
sg8
(lp14795
(dp14796
g11
(lp14797
sg13
V\u005ctext{(a b c d e)}
p14798
sg15
L3L
sass(g1693
g13929
VStringSplit
p14799
L0L
tp14800
(dp14801
g6
VStringSplit["abc,123", ","]
p14802
sg8
(lp14803
(dp14804
g11
(lp14805
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123}\u005cright\u005c}
p14806
sg15
L1L
sass(g1693
g13929
g14799
L1L
tp14807
(dp14808
g6
VStringSplit["abc 123"]
p14809
sg8
(lp14810
(dp14811
g11
(lp14812
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123}\u005cright\u005c}
p14813
sg15
L2L
sass(g1693
g13929
g14799
L3L
tp14814
(dp14815
g6
VStringSplit["abc,123.456", {",", "."}]
p14816
sg8
(lp14817
(dp14818
g11
(lp14819
sg13
V\u005cleft\u005c{\u005ctext{abc},\u005ctext{123},\u005ctext{456}\u005cright\u005c}
p14820
sg15
L3L
sass(g1693
g13929
g14799
L4L
tp14821
(dp14822
g6
VStringSplit["a  b    c", RegularExpression[" +"]]
p14823
sg8
(lp14824
(dp14825
g11
(lp14826
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p14827
sg15
L4L
sass(g1693
g13929
g14799
L5L
tp14828
(dp14829
g6
VStringSplit[{"a  b", "c  d"}, RegularExpression[" +"]]
p14830
sg8
(lp14831
(dp14832
g11
(lp14833
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{a},\u005ctext{b}\u005cright\u005c},\u005cleft\u005c{\u005ctext{c},\u005ctext{d}\u005cright\u005c}\u005cright\u005c}
p14834
sg15
L5L
sass(g1693
g13929
VStringTake
p14835
L0L
tp14836
(dp14837
g6
VStringTake["abcde", 2]
p14838
sg8
(lp14839
(dp14840
g11
(lp14841
sg13
V\u005ctext{ab}
p14842
sg15
L1L
sass(g1693
g13929
g14835
L1L
tp14843
(dp14844
g6
VStringTake["abcde", 0]
p14845
sg8
(lp14846
(dp14847
g11
(lp14848
sg13
V\u005ctext{}
p14849
sg15
L2L
sass(g1693
g13929
g14835
L2L
tp14850
(dp14851
g6
VStringTake["abcde", -2]
p14852
sg8
(lp14853
(dp14854
g11
(lp14855
sg13
V\u005ctext{de}
p14856
sg15
L3L
sass(g1693
g13929
g14835
L3L
tp14857
(dp14858
g6
VStringTake["abcde", {2}]
p14859
sg8
(lp14860
(dp14861
g11
(lp14862
sg13
V\u005ctext{b}
p14863
sg15
L4L
sass(g1693
g13929
g14835
L4L
tp14864
(dp14865
g6
VStringTake["abcd", {2,3}]
p14866
sg8
(lp14867
(dp14868
g11
(lp14869
sg13
V\u005ctext{bc}
p14870
sg15
L5L
sass(g1693
g13929
g14835
L5L
tp14871
(dp14872
g6
VStringTake["abcdefgh", {1, 5, 2}]
p14873
sg8
(lp14874
(dp14875
g11
(lp14876
sg13
V\u005ctext{ace}
p14877
sg15
L6L
sass(g1693
g13929
g14835
L6L
tp14878
(dp14879
g6
VStringTake["abcdef", All]
p14880
sg8
(lp14881
(dp14882
g11
(lp14883
sg13
V\u005ctext{abcdef}
p14884
sg15
L7L
sass(g1693
g13929
VStringTrim
p14885
L0L
tp14886
(dp14887
g6
VStringJoin["a", StringTrim["  \u005ctb\u005cn "], "c"]
p14888
sg8
(lp14889
(dp14890
g11
(lp14891
sg13
V\u005ctext{abc}
p14892
sg15
L1L
sass(g1693
g13929
g14885
L1L
tp14893
(dp14894
g6
VStringTrim["ababaxababyaabab", RegularExpression["(ab)+"]]
p14895
sg8
(lp14896
(dp14897
g11
(lp14898
sg13
V\u005ctext{axababya}
p14899
sg15
L2L
sass(g1693
g13929
VString
p14900
L0L
tp14901
(dp14902
g6
VHead["abc"]
p14903
sg8
(lp14904
(dp14905
g11
(lp14906
sg13
V\u005ctext{String}
p14907
sg15
L1L
sass(g1693
g13929
g14900
L1L
tp14908
(dp14909
g6
V"abc"
p14910
sg8
(lp14911
(dp14912
g11
(lp14913
sg13
V\u005ctext{abc}
p14914
sg15
L2L
sass(g1693
g13929
g14900
L2L
tp14915
(dp14916
g6
VInputForm["abc"]
p14917
sg8
(lp14918
(dp14919
g11
(lp14920
sg13
V\u005ctext{"abc"}
p14921
sg15
L3L
sass(g1693
g13929
g14900
L3L
tp14922
(dp14923
g6
VFullForm["abc" + 2]
p14924
sg8
(lp14925
(dp14926
g11
(lp14927
sg13
V\u005ctext{Plus}\u005cleft[2, \u005ctext{"abc"}\u005cright]
p14928
sg15
L4L
sass(g1693
g13929
VToCharacterCode
p14929
L0L
tp14930
(dp14931
g6
VToCharacterCode["abc"]
p14932
sg8
(lp14933
(dp14934
g11
(lp14935
sg13
V\u005cleft\u005c{97,98,99\u005cright\u005c}
p14936
sg15
L1L
sass(g1693
g13929
g14929
L1L
tp14937
(dp14938
g6
VFromCharacterCode[%]
p14939
sg8
(lp14940
(dp14941
g11
(lp14942
sg13
V\u005ctext{abc}
p14943
sg15
L2L
sass(g1693
g13929
g14929
L2L
tp14944
(dp14945
g6
VToCharacterCode["\u005c[Alpha]\u005c[Beta]\u005c[Gamma]"]
p14946
sg8
(lp14947
(dp14948
g11
(lp14949
sg13
V\u005cleft\u005c{945,946,947\u005cright\u005c}
p14950
sg15
L3L
sass(g1693
g13929
g14929
L3L
tp14951
(dp14952
g6
VToCharacterCode["", "UTF8"]
p14953
sg8
(lp14954
(dp14955
g11
(lp14956
sg13
V\u005cleft\u005c{195,164\u005cright\u005c}
p14957
sg15
L4L
sass(g1693
g13929
g14929
L4L
tp14958
(dp14959
g6
VToCharacterCode["", "ISO8859-1"]
p14960
sg8
(lp14961
(dp14962
g11
(lp14963
sg13
V\u005cleft\u005c{228\u005cright\u005c}
p14964
sg15
L5L
sass(g1693
g13929
g14929
L5L
tp14965
(dp14966
g6
VToCharacterCode[{"ab", "c"}]
p14967
sg8
(lp14968
(dp14969
g11
(lp14970
sg13
V\u005cleft\u005c{\u005cleft\u005c{97,98\u005cright\u005c},\u005cleft\u005c{99\u005cright\u005c}\u005cright\u005c}
p14971
sg15
L6L
sass(g1693
g13929
g14929
L8L
tp14972
(dp14973
g6
VToCharacterCode[{"ab", x}]
p14974
sg8
(lp14975
(dp14976
g11
(lp14977
(dp14978
g149
I01
sg150
VToCharacterCode
p14979
sg152
Vstrse
p14980
sg154
VToCharacterCode::strse
p14981
sg156
VString or list of strings expected at position 1 in ToCharacterCode[{ab, x}].
p14982
sasg13
V\u005ctext{ToCharacterCode}\u005cleft[\u005cleft\u005c{\u005ctext{ab},x\u005cright\u005c}\u005cright]
p14983
sg15
L7L
sass(g1693
g13929
g14929
L9L
tp14984
(dp14985
g6
VListPlot[ToCharacterCode["plot this string"], Filling -> Axis]
p14986
sg8
(lp14987
(dp14988
g11
(lp14989
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
p14990
sg15
L8L
sass(g1693
g13929
VToExpression
p14991
L0L
tp14992
(dp14993
g6
VToExpression["1 + 2"]
p14994
sg8
(lp14995
(dp14996
g11
(lp14997
sg13
V3
p14998
sg15
L1L
sass(g1693
g13929
g14991
L1L
tp14999
(dp15000
g6
VToExpression["{2, 3, 1}", InputForm, Max]
p15001
sg8
(lp15002
(dp15003
g11
(lp15004
sg13
V3
p15005
sg15
L2L
sass(g1693
g13929
VToLowerCase
p15006
L0L
tp15007
(dp15008
g6
VToLowerCase["New York"]
p15009
sg8
(lp15010
(dp15011
g11
(lp15012
sg13
V\u005ctext{new york}
p15013
sg15
L1L
sass(g1693
g13929
VToString
p15014
L0L
tp15015
(dp15016
g6
VToString[2]
p15017
sg8
(lp15018
(dp15019
g11
(lp15020
sg13
V\u005ctext{2}
p15021
sg15
L1L
sass(g1693
g13929
g15014
L1L
tp15022
(dp15023
g6
VToString[2] // InputForm
p15024
sg8
(lp15025
(dp15026
g11
(lp15027
sg13
V\u005ctext{"2"}
p15028
sg15
L2L
sass(g1693
g13929
g15014
L2L
tp15029
(dp15030
g6
VToString[a+b]
p15031
sg8
(lp15032
(dp15033
g11
(lp15034
sg13
V\u005ctext{a + b}
p15035
sg15
L3L
sass(g1693
g13929
g15014
L3L
tp15036
(dp15037
g6
V"U" <> 2
p15038
sg8
(lp15039
(dp15040
g11
(lp15041
(dp15042
g149
I01
sg150
VStringJoin
p15043
sg152
g384
sg154
VStringJoin::string
p15044
sg156
g386
sasg13
V\u005ctext{U}\u005ctext{<>}2
p15045
sg15
L4L
sass(g1693
g13929
g15014
L4L
tp15046
(dp15047
g6
V"U" <> ToString[2]
p15048
sg8
(lp15049
(dp15050
g11
(lp15051
sg13
V\u005ctext{U2}
p15052
sg15
L5L
sass(g1693
g13929
VToUpperCase
p15053
L0L
tp15054
(dp15055
g6
VToUpperCase["New York"]
p15056
sg8
(lp15057
(dp15058
g11
(lp15059
sg13
V\u005ctext{NEW YORK}
p15060
sg15
L1L
sass(g1693
g13929
VUpperCaseQ
p15061
L0L
tp15062
(dp15063
g6
VUpperCaseQ["ABC"]
p15064
sg8
(lp15065
(dp15066
g11
(lp15067
sg13
V\u005ctext{True}
p15068
sg15
L1L
sass(g1693
g13929
g15061
L1L
tp15069
(dp15070
g6
VUpperCaseQ[""]
p15071
sg8
(lp15072
(dp15073
g11
(lp15074
sg13
V\u005ctext{True}
p15075
sg15
L2L
sass(g1693
g13929
VWhitespace
p15076
L0L
tp15077
(dp15078
g6
VStringMatchQ["\u005cr \u005cn", Whitespace]
p15079
sg8
(lp15080
(dp15081
g11
(lp15082
sg13
V\u005ctext{True}
p15083
sg15
L1L
sass(g1693
g13929
g15076
L1L
tp15084
(dp15085
g6
VStringSplit["a  \u005cn b \u005cr\u005cn c d", Whitespace]
p15086
sg8
(lp15087
(dp15088
g11
(lp15089
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d}\u005cright\u005c}
p15090
sg15
L2L
sass(g1693
g13929
g15076
L2L
tp15091
(dp15092
g6
VStringReplace[" this has leading and trailing whitespace \u005cn ", (StartOfString ~~ Whitespace) | (Whitespace ~~ EndOfString) -> ""] <> " removed" // FullForm
p15093
sg8
(lp15094
(dp15095
g11
(lp15096
sg13
V\u005ctext{"this has leading and trailing whitespace removed"}
p15097
sg15
L3L
sass(g1693
g13929
VWhitespaceCharacter
p15098
L0L
tp15099
(dp15100
g6
VStringMatchQ["\u005cn", WhitespaceCharacter]
p15101
sg8
(lp15102
(dp15103
g11
(lp15104
sg13
V\u005ctext{True}
p15105
sg15
L1L
sass(g1693
g13929
g15098
L1L
tp15106
(dp15107
g6
VStringSplit["a\u005cnb\u005cr\u005cnc\u005crd", WhitespaceCharacter]
p15108
sg8
(lp15109
(dp15110
g11
(lp15111
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{d}\u005cright\u005c}
p15112
sg15
L2L
sass(g1693
g13929
g15098
L2L
tp15113
(dp15114
g6
VStringMatchQ[" \u005cn", WhitespaceCharacter]
p15115
sg8
(lp15116
(dp15117
g11
(lp15118
sg13
V\u005ctext{False}
p15119
sg15
L3L
sass(g1693
g13929
g15098
L3L
tp15120
(dp15121
g6
VStringMatchQ[" \u005cn", Whitespace]
p15122
sg8
(lp15123
(dp15124
g11
(lp15125
sg13
V\u005ctext{True}
p15126
sg15
L4L
sass(g1693
g13929
VWordBoundary
p15127
L0L
tp15128
(dp15129
g6
VStringReplace["apple banana orange artichoke", "e" ~~ WordBoundary -> "E"]
p15130
sg8
(lp15131
(dp15132
g11
(lp15133
sg13
V\u005ctext{applE banana orangE artichokE}
p15134
sg15
L1L
sass(g1693
g13929
VWordCharacter
p15135
L0L
tp15136
(dp15137
g6
VStringMatchQ[#, WordCharacter] &/@ {"1", "a", "A", ",", " "}
p15138
sg8
(lp15139
(dp15140
g11
(lp15141
sg13
V\u005cleft\u005c{\u005ctext{True},\u005ctext{True},\u005ctext{True},\u005ctext{False},\u005ctext{False}\u005cright\u005c}
p15142
sg15
L1L
sass(g1693
g13929
g15135
L1L
tp15143
(dp15144
g6
VStringMatchQ["abc123DEF", WordCharacter..]
p15145
sg8
(lp15146
(dp15147
g11
(lp15148
sg13
V\u005ctext{True}
p15149
sg15
L2L
sass(g1693
g13929
g15135
L2L
tp15150
(dp15151
g6
VStringMatchQ["$b;123", WordCharacter..]
p15152
sg8
(lp15153
(dp15154
g11
(lp15155
sg13
V\u005ctext{False}
p15156
sg15
L3L
sass(g1693
VOptimization
p15157
VMaximize
p15158
L0L
tp15159
(dp15160
g6
VMaximize[-2 x^2 - 3 x + 5, x]
p15161
sg8
(lp15162
(dp15163
g11
(lp15164
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{49}{8},\u005cleft\u005c{x->-\u005cfrac{3}{4}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p15165
sg15
L1L
sass(g1693
g15157
VMinimize
p15166
L0L
tp15167
(dp15168
g6
VMinimize[2 x^2 - 3 x + 5, x]
p15169
sg8
(lp15170
(dp15171
g11
(lp15172
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{31}{8},\u005cleft\u005c{x->\u005cfrac{3}{4}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p15173
sg15
L1L
sass(g1693
VImage[] and image related functions.
p15174
VBinarize
p15175
L0L
tp15176
(dp15177
g6
Vimg = Import["ExampleData/lena.tif"];
p15178
sg8
(lp15179
(dp15180
g11
(lp15181
sg13
Nsg15
L1L
sass(g1693
g15174
g15175
L1L
tp15182
(dp15183
g6
VBinarize[img]
p15184
sg8
(lp15185
(dp15186
g11
(lp15187
sg13
V-Image-
p15188
sg15
L2L
sass(g1693
g15174
g15175
L2L
tp15189
(dp15190
g6
VBinarize[img, 0.7]
p15191
sg8
(lp15192
(dp15193
g11
(lp15194
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15175
L3L
tp15195
(dp15196
g6
VBinarize[img, {0.2, 0.6}]
p15197
sg8
(lp15198
(dp15199
g11
(lp15200
sg13
g15188
sg15
L4L
sass(g1693
g15174
VBinaryImageQ
p15201
L0L
tp15202
(dp15203
g6
Vimg = Import["ExampleData/lena.tif"];
p15204
sg8
(lp15205
(dp15206
g11
(lp15207
sg13
Nsg15
L1L
sass(g1693
g15174
g15201
L1L
tp15208
(dp15209
g6
VBinaryImageQ[img]
p15210
sg8
(lp15211
(dp15212
g11
(lp15213
sg13
V\u005ctext{False}
p15214
sg15
L2L
sass(g1693
g15174
g15201
L2L
tp15215
(dp15216
g6
VBinaryImageQ[Binarize[img]]
p15217
sg8
(lp15218
(dp15219
g11
(lp15220
sg13
V\u005ctext{True}
p15221
sg15
L3L
sass(g1693
g15174
VBlur
p15222
L0L
tp15223
(dp15224
g6
Vlena = Import["ExampleData/lena.tif"];
p15225
sg8
(lp15226
(dp15227
g11
(lp15228
sg13
Nsg15
L1L
sass(g1693
g15174
g15222
L1L
tp15229
(dp15230
g6
VBlur[lena]
p15231
sg8
(lp15232
(dp15233
g11
(lp15234
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15222
L2L
tp15235
(dp15236
g6
VBlur[lena, 5]
p15237
sg8
(lp15238
(dp15239
g11
(lp15240
sg13
g15188
sg15
L3L
sass(g1693
g15174
VBoxMatrix
p15241
L0L
tp15242
(dp15243
g6
VBoxMatrix[3]
p15244
sg8
(lp15245
(dp15246
g11
(lp15247
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}
p15248
sg15
L1L
sass(g1693
g15174
VClosing
p15249
L0L
tp15250
(dp15251
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15252
sg8
(lp15253
(dp15254
g11
(lp15255
sg13
Nsg15
L1L
sass(g1693
g15174
g15249
L1L
tp15256
(dp15257
g6
VClosing[ein, 2.5]
p15258
sg8
(lp15259
(dp15260
g11
(lp15261
sg13
g15188
sg15
L2L
sass(g1693
g15174
VColorCombine
p15262
L0L
tp15263
(dp15264
g6
VColorCombine[{{{1, 0}, {0, 0.75}}, {{0, 1}, {0, 0.25}}, {{0, 0}, {1, 0.5}}}, "RGB"]
p15265
sg8
(lp15266
(dp15267
g11
(lp15268
sg13
g15188
sg15
L1L
sass(g1693
g15174
VColorQuantize
p15269
L0L
tp15270
(dp15271
g6
Vimg = Import["ExampleData/lena.tif"];
p15272
sg8
(lp15273
(dp15274
g11
(lp15275
sg13
Nsg15
L1L
sass(g1693
g15174
g15269
L1L
tp15276
(dp15277
g6
VColorQuantize[img, 6]
p15278
sg8
(lp15279
(dp15280
g11
(lp15281
sg13
g15188
sg15
L2L
sass(g1693
g15174
VColorize
p15282
L0L
tp15283
(dp15284
g6
VColorize[{{1.3, 2.1, 1.5}, {1.3, 1.3, 2.1}, {1.3, 2.1, 1.5}}]
p15285
sg8
(lp15286
(dp15287
g11
(lp15288
sg13
g15188
sg15
L1L
sass(g1693
g15174
g15282
L1L
tp15289
(dp15290
g6
VColorize[{{1, 2}, {2, 2}, {2, 3}}, ColorFunction -> (Blend[{White, Blue}, #]&)]
p15291
sg8
(lp15292
(dp15293
g11
(lp15294
sg13
g15188
sg15
L2L
sass(g1693
g15174
VDiamondMatrix
p15295
L0L
tp15296
(dp15297
g6
VDiamondMatrix[3]
p15298
sg8
(lp15299
(dp15300
g11
(lp15301
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}
p15302
sg15
L1L
sass(g1693
g15174
VDilation
p15303
L0L
tp15304
(dp15305
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15306
sg8
(lp15307
(dp15308
g11
(lp15309
sg13
Nsg15
L1L
sass(g1693
g15174
g15303
L1L
tp15310
(dp15311
g6
VDilation[ein, 2.5]
p15312
sg8
(lp15313
(dp15314
g11
(lp15315
sg13
g15188
sg15
L2L
sass(g1693
g15174
VDiskMatrix
p15316
L0L
tp15317
(dp15318
g6
VDiskMatrix[3]
p15319
sg8
(lp15320
(dp15321
g11
(lp15322
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}
p15323
sg15
L1L
sass(g1693
g15174
VDominantColors
p15324
L0L
tp15325
(dp15326
g6
Vimg = Import["ExampleData/lena.tif"]
p15327
sg8
(lp15328
(dp15329
g11
(lp15330
sg13
g15188
sg15
L1L
sass(g1693
g15174
g15324
L1L
tp15331
(dp15332
g6
VDominantColors[img]
p15333
sg8
(lp15334
(dp15335
g11
(lp15336
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}
p15337
sg15
L2L
sass(g1693
g15174
g15324
L2L
tp15338
(dp15339
g6
VDominantColors[img, 3]
p15340
sg8
(lp15341
(dp15342
g11
(lp15343
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}
p15344
sg15
L3L
sass(g1693
g15174
g15324
L3L
tp15345
(dp15346
g6
VDominantColors[img, 3, "Coverage"]
p15347
sg8
(lp15348
(dp15349
g11
(lp15350
sg13
V\u005cleft\u005c{\u005cfrac{28579}{131072},\u005cfrac{751}{4096},\u005cfrac{23841}{131072}\u005cright\u005c}
p15351
sg15
L4L
sass(g1693
g15174
g15324
L4L
tp15352
(dp15353
g6
VDominantColors[img, 3, "CoverageImage"]
p15354
sg8
(lp15355
(dp15356
g11
(lp15357
sg13
V\u005cleft\u005c{-Image-,-Image-,-Image-\u005cright\u005c}
p15358
sg15
L5L
sass(g1693
g15174
g15324
L5L
tp15359
(dp15360
g6
VDominantColors[img, 3, "Count"]
p15361
sg8
(lp15362
(dp15363
g11
(lp15364
sg13
V\u005cleft\u005c{57158,48064,47682\u005cright\u005c}
p15365
sg15
L6L
sass(g1693
g15174
g15324
L6L
tp15366
(dp15367
g6
VDominantColors[img, 2, "LABColor"]
p15368
sg8
(lp15369
(dp15370
g11
(lp15371
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}
p15372
sg15
L7L
sass(g1693
g15174
g15324
L7L
tp15373
(dp15374
g6
VDominantColors[img, MinColorDistance -> 0.5]
p15375
sg8
(lp15376
(dp15377
g11
(lp15378
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}
p15379
sg15
L8L
sass(g1693
g15174
g15324
L8L
tp15380
(dp15381
g6
VDominantColors[img, ColorCoverage -> 0.15]
p15382
sg8
(lp15383
(dp15384
g11
(lp15385
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}
p15386
sg15
L9L
sass(g1693
g15174
VEdgeDetect
p15387
L0L
tp15388
(dp15389
g6
Vlena = Import["ExampleData/lena.tif"];
p15390
sg8
(lp15391
(dp15392
g11
(lp15393
sg13
Nsg15
L1L
sass(g1693
g15174
g15387
L1L
tp15394
(dp15395
g6
VEdgeDetect[lena]
p15396
sg8
(lp15397
(dp15398
g11
(lp15399
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15387
L2L
tp15400
(dp15401
g6
VEdgeDetect[lena, 5]
p15402
sg8
(lp15403
(dp15404
g11
(lp15405
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15387
L3L
tp15406
(dp15407
g6
VEdgeDetect[lena, 4, 0.5]
p15408
sg8
(lp15409
(dp15410
g11
(lp15411
sg13
g15188
sg15
L4L
sass(g1693
g15174
VErosion
p15412
L0L
tp15413
(dp15414
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15415
sg8
(lp15416
(dp15417
g11
(lp15418
sg13
Nsg15
L1L
sass(g1693
g15174
g15412
L1L
tp15419
(dp15420
g6
VErosion[ein, 2.5]
p15421
sg8
(lp15422
(dp15423
g11
(lp15424
sg13
g15188
sg15
L2L
sass(g1693
g15174
VGaussianFilter
p15425
L0L
tp15426
(dp15427
g6
Vlena = Import["ExampleData/lena.tif"];
p15428
sg8
(lp15429
(dp15430
g11
(lp15431
sg13
Nsg15
L1L
sass(g1693
g15174
g15425
L1L
tp15432
(dp15433
g6
VGaussianFilter[lena, 2.5]
p15434
sg8
(lp15435
(dp15436
g11
(lp15437
sg13
g15188
sg15
L2L
sass(g1693
g15174
VImageAdd
p15438
L0L
tp15439
(dp15440
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p15441
sg8
(lp15442
(dp15443
g11
(lp15444
sg13
Nsg15
L1L
sass(g1693
g15174
g15438
L1L
tp15445
(dp15446
g6
VImageAdd[i, 0.5]
p15447
sg8
(lp15448
(dp15449
g11
(lp15450
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15438
L2L
tp15451
(dp15452
g6
VImageAdd[i, i]
p15453
sg8
(lp15454
(dp15455
g11
(lp15456
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15438
L5L
tp15457
(dp15458
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15459
sg8
(lp15460
(dp15461
g11
(lp15462
sg13
Nsg15
L4L
sass(g1693
g15174
g15438
L6L
tp15463
(dp15464
g6
Vnoise = RandomImage[{-0.1, 0.1}, ImageDimensions[ein]];
p15465
sg8
(lp15466
(dp15467
g11
(lp15468
sg13
Nsg15
L5L
sass(g1693
g15174
g15438
L7L
tp15469
(dp15470
g6
VImageAdd[noise, ein]
p15471
sg8
(lp15472
(dp15473
g11
(lp15474
sg13
g15188
sg15
L6L
sass(g1693
g15174
g15438
L8L
tp15475
(dp15476
g6
Vlena = Import["ExampleData/lena.tif"];
p15477
sg8
(lp15478
(dp15479
g11
(lp15480
sg13
Nsg15
L7L
sass(g1693
g15174
g15438
L9L
tp15481
(dp15482
g6
Vnoise = RandomImage[{-0.2, 0.2}, ImageDimensions[lena], ColorSpace -> "RGB"];
p15483
sg8
(lp15484
(dp15485
g11
(lp15486
sg13
Nsg15
L8L
sass(g1693
g15174
g15438
L10L
tp15487
(dp15488
g6
VImageAdd[noise, lena]
p15489
sg8
(lp15490
(dp15491
g11
(lp15492
sg13
g15188
sg15
L9L
sass(g1693
g15174
VImageAdjust
p15493
L0L
tp15494
(dp15495
g6
Vlena = Import["ExampleData/lena.tif"];
p15496
sg8
(lp15497
(dp15498
g11
(lp15499
sg13
Nsg15
L1L
sass(g1693
g15174
g15493
L1L
tp15500
(dp15501
g6
VImageAdjust[lena]
p15502
sg8
(lp15503
(dp15504
g11
(lp15505
sg13
g15188
sg15
L2L
sass(g1693
g15174
VImageAspectRatio
p15506
L0L
tp15507
(dp15508
g6
Vimg = Import["ExampleData/lena.tif"];
p15509
sg8
(lp15510
(dp15511
g11
(lp15512
sg13
Nsg15
L1L
sass(g1693
g15174
g15506
L1L
tp15513
(dp15514
g6
VImageAspectRatio[img]
p15515
sg8
(lp15516
(dp15517
g11
(lp15518
sg13
V1
p15519
sg15
L2L
sass(g1693
g15174
g15506
L2L
tp15520
(dp15521
g6
VImageAspectRatio[Image[{{0, 1}, {1, 0}, {1, 1}}]]
p15522
sg8
(lp15523
(dp15524
g11
(lp15525
sg13
V\u005cfrac{3}{2}
p15526
sg15
L3L
sass(g1693
g15174
VImageChannels
p15527
L0L
tp15528
(dp15529
g6
VImageChannels[Image[{{0, 1}, {1, 0}}]]
p15530
sg8
(lp15531
(dp15532
g11
(lp15533
sg13
V1
p15534
sg15
L1L
sass(g1693
g15174
g15527
L1L
tp15535
(dp15536
g6
Vimg = Import["ExampleData/lena.tif"];
p15537
sg8
(lp15538
(dp15539
g11
(lp15540
sg13
Nsg15
L2L
sass(g1693
g15174
g15527
L2L
tp15541
(dp15542
g6
VImageChannels[img]
p15543
sg8
(lp15544
(dp15545
g11
(lp15546
sg13
V3
p15547
sg15
L3L
sass(g1693
g15174
VImageColorSpace
p15548
L0L
tp15549
(dp15550
g6
Vimg = Import["ExampleData/lena.tif"];
p15551
sg8
(lp15552
(dp15553
g11
(lp15554
sg13
Nsg15
L1L
sass(g1693
g15174
g15548
L1L
tp15555
(dp15556
g6
VImageColorSpace[img]
p15557
sg8
(lp15558
(dp15559
g11
(lp15560
sg13
V\u005ctext{RGB}
p15561
sg15
L2L
sass(g1693
g15174
VImageConvolve
p15562
L0L
tp15563
(dp15564
g6
Vimg = Import["ExampleData/lena.tif"];
p15565
sg8
(lp15566
(dp15567
g11
(lp15568
sg13
Nsg15
L1L
sass(g1693
g15174
g15562
L1L
tp15569
(dp15570
g6
VImageConvolve[img, DiamondMatrix[5] / 61]
p15571
sg8
(lp15572
(dp15573
g11
(lp15574
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15562
L2L
tp15575
(dp15576
g6
VImageConvolve[img, DiskMatrix[5] / 97]
p15577
sg8
(lp15578
(dp15579
g11
(lp15580
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15562
L3L
tp15581
(dp15582
g6
VImageConvolve[img, BoxMatrix[5] / 121]
p15583
sg8
(lp15584
(dp15585
g11
(lp15586
sg13
g15188
sg15
L4L
sass(g1693
g15174
VImageData
p15587
L0L
tp15588
(dp15589
g6
Vimg = Image[{{0.2, 0.4}, {0.9, 0.6}, {0.5, 0.8}}];
p15590
sg8
(lp15591
(dp15592
g11
(lp15593
sg13
Nsg15
L1L
sass(g1693
g15174
g15587
L1L
tp15594
(dp15595
g6
VImageData[img]
p15596
sg8
(lp15597
(dp15598
g11
(lp15599
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}
p15600
sg15
L2L
sass(g1693
g15174
g15587
L2L
tp15601
(dp15602
g6
VImageData[img, "Byte"]
p15603
sg8
(lp15604
(dp15605
g11
(lp15606
sg13
V\u005cleft\u005c{\u005cleft\u005c{51,102\u005cright\u005c},\u005cleft\u005c{229,153\u005cright\u005c},\u005cleft\u005c{127,204\u005cright\u005c}\u005cright\u005c}
p15607
sg15
L3L
sass(g1693
g15174
g15587
L3L
tp15608
(dp15609
g6
VImageData[Image[{{0, 1}, {1, 0}, {1, 1}}], "Bit"]
p15610
sg8
(lp15611
(dp15612
g11
(lp15613
sg13
V\u005cleft\u005c{\u005cleft\u005c{0,1\u005cright\u005c},\u005cleft\u005c{1,0\u005cright\u005c},\u005cleft\u005c{1,1\u005cright\u005c}\u005cright\u005c}
p15614
sg15
L4L
sass(g1693
g15174
VImageDimensions
p15615
L0L
tp15616
(dp15617
g6
Vlena = Import["ExampleData/lena.tif"];
p15618
sg8
(lp15619
(dp15620
g11
(lp15621
sg13
Nsg15
L1L
sass(g1693
g15174
g15615
L1L
tp15622
(dp15623
g6
VImageDimensions[lena]
p15624
sg8
(lp15625
(dp15626
g11
(lp15627
sg13
V\u005cleft\u005c{512,512\u005cright\u005c}
p15628
sg15
L2L
sass(g1693
g15174
g15615
L2L
tp15629
(dp15630
g6
VImageDimensions[RandomImage[1, {50, 70}]]
p15631
sg8
(lp15632
(dp15633
g11
(lp15634
sg13
V\u005cleft\u005c{50,70\u005cright\u005c}
p15635
sg15
L3L
sass(g1693
g15174
VImageImport
p15636
L0L
tp15637
(dp15638
g6
VImport["ExampleData/Einstein.jpg"]
p15639
sg8
(lp15640
(dp15641
g11
(lp15642
sg13
g15188
sg15
L1L
sass(g1693
g15174
g15636
L2L
tp15643
(dp15644
g6
VImport["ExampleData/MadTeaParty.gif"]
p15645
sg8
(lp15646
(dp15647
g11
(lp15648
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15636
L3L
tp15649
(dp15650
g6
VImport["ExampleData/moon.tif"]
p15651
sg8
(lp15652
(dp15653
g11
(lp15654
sg13
g15188
sg15
L3L
sass(g1693
g15174
VImageMultiply
p15655
L0L
tp15656
(dp15657
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p15658
sg8
(lp15659
(dp15660
g11
(lp15661
sg13
Nsg15
L1L
sass(g1693
g15174
g15655
L1L
tp15662
(dp15663
g6
VImageMultiply[i, 0.2]
p15664
sg8
(lp15665
(dp15666
g11
(lp15667
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15655
L2L
tp15668
(dp15669
g6
VImageMultiply[i, i]
p15670
sg8
(lp15671
(dp15672
g11
(lp15673
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15655
L5L
tp15674
(dp15675
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15676
sg8
(lp15677
(dp15678
g11
(lp15679
sg13
Nsg15
L4L
sass(g1693
g15174
g15655
L6L
tp15680
(dp15681
g6
Vnoise = RandomImage[{0.7, 1.3}, ImageDimensions[ein]];
p15682
sg8
(lp15683
(dp15684
g11
(lp15685
sg13
Nsg15
L5L
sass(g1693
g15174
g15655
L7L
tp15686
(dp15687
g6
VImageMultiply[noise, ein]
p15688
sg8
(lp15689
(dp15690
g11
(lp15691
sg13
g15188
sg15
L6L
sass(g1693
g15174
VImagePartition
p15692
L0L
tp15693
(dp15694
g6
Vlena = Import["ExampleData/lena.tif"];
p15695
sg8
(lp15696
(dp15697
g11
(lp15698
sg13
Nsg15
L1L
sass(g1693
g15174
g15692
L1L
tp15699
(dp15700
g6
VImageDimensions[lena]
p15701
sg8
(lp15702
(dp15703
g11
(lp15704
sg13
V\u005cleft\u005c{512,512\u005cright\u005c}
p15705
sg15
L2L
sass(g1693
g15174
g15692
L2L
tp15706
(dp15707
g6
VImagePartition[lena, 256]
p15708
sg8
(lp15709
(dp15710
g11
(lp15711
sg13
V\u005cleft\u005c{\u005cleft\u005c{-Image-,-Image-\u005cright\u005c},\u005cleft\u005c{-Image-,-Image-\u005cright\u005c}\u005cright\u005c}
p15712
sg15
L3L
sass(g1693
g15174
g15692
L3L
tp15713
(dp15714
g6
VImagePartition[lena, {512, 128}]
p15715
sg8
(lp15716
(dp15717
g11
(lp15718
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}
p15719
sg15
L4L
sass(g1693
g15174
VImageQ
p15720
L0L
tp15721
(dp15722
g6
VImageQ[Image[{{0, 1}, {1, 0}}]]
p15723
sg8
(lp15724
(dp15725
g11
(lp15726
sg13
V\u005ctext{True}
p15727
sg15
L1L
sass(g1693
g15174
g15720
L1L
tp15728
(dp15729
g6
VImageQ[Image[{{{0, 0, 0}, {0, 1, 0}}, {{0, 1, 0}, {0, 1, 1}}}]]
p15730
sg8
(lp15731
(dp15732
g11
(lp15733
sg13
V\u005ctext{True}
p15734
sg15
L2L
sass(g1693
g15174
g15720
L2L
tp15735
(dp15736
g6
VImageQ[Image[{{{0, 0, 0}, {0, 1}}, {{0, 1, 0}, {0, 1, 1}}}]]
p15737
sg8
(lp15738
(dp15739
g11
(lp15740
sg13
V\u005ctext{False}
p15741
sg15
L3L
sass(g1693
g15174
g15720
L3L
tp15742
(dp15743
g6
VImageQ[Image[{1, 0, 1}]]
p15744
sg8
(lp15745
(dp15746
g11
(lp15747
sg13
V\u005ctext{False}
p15748
sg15
L4L
sass(g1693
g15174
g15720
L4L
tp15749
(dp15750
g6
VImageQ["abc"]
p15751
sg8
(lp15752
(dp15753
g11
(lp15754
sg13
V\u005ctext{False}
p15755
sg15
L5L
sass(g1693
g15174
VImageReflect
p15756
L0L
tp15757
(dp15758
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15759
sg8
(lp15760
(dp15761
g11
(lp15762
sg13
Nsg15
L1L
sass(g1693
g15174
g15756
L1L
tp15763
(dp15764
g6
VImageReflect[ein]
p15765
sg8
(lp15766
(dp15767
g11
(lp15768
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15756
L2L
tp15769
(dp15770
g6
VImageReflect[ein, Left]
p15771
sg8
(lp15772
(dp15773
g11
(lp15774
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15756
L3L
tp15775
(dp15776
g6
VImageReflect[ein, Left -> Top]
p15777
sg8
(lp15778
(dp15779
g11
(lp15780
sg13
g15188
sg15
L4L
sass(g1693
g15174
VImageResize
p15781
L0L
tp15782
(dp15783
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15784
sg8
(lp15785
(dp15786
g11
(lp15787
sg13
Nsg15
L1L
sass(g1693
g15174
g15781
L1L
tp15788
(dp15789
g6
VImageDimensions[ein]
p15790
sg8
(lp15791
(dp15792
g11
(lp15793
sg13
V\u005cleft\u005c{615,768\u005cright\u005c}
p15794
sg15
L2L
sass(g1693
g15174
g15781
L2L
tp15795
(dp15796
g6
VImageResize[ein, {400, 600}]
p15797
sg8
(lp15798
(dp15799
g11
(lp15800
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15781
L4L
tp15801
(dp15802
g6
VImageResize[ein, 256]
p15803
sg8
(lp15804
(dp15805
g11
(lp15806
sg13
g15188
sg15
L4L
sass(g1693
g15174
g15781
L5L
tp15807
(dp15808
g6
VImageDimensions[%]
p15809
sg8
(lp15810
(dp15811
g11
(lp15812
sg13
V\u005cleft\u005c{256,320\u005cright\u005c}
p15813
sg15
L5L
sass(g1693
g15174
g15781
L6L
tp15814
(dp15815
g6
VImageResize[ein, 256, Resampling -> "Bicubic"]
p15816
sg8
(lp15817
(dp15818
g11
(lp15819
sg13
g15188
sg15
L6L
sass(g1693
g15174
g15781
L8L
tp15820
(dp15821
g6
VImageResize[ein, 256, Resampling -> "Nearest"]
p15822
sg8
(lp15823
(dp15824
g11
(lp15825
sg13
g15188
sg15
L7L
sass(g1693
g15174
g15781
L10L
tp15826
(dp15827
g6
VImageResize[ein, 256, Resampling -> "Gaussian"]
p15828
sg8
(lp15829
(dp15830
g11
(lp15831
sg13
g15188
sg15
L8L
sass(g1693
g15174
VImageRotate
p15832
L0L
tp15833
(dp15834
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15835
sg8
(lp15836
(dp15837
g11
(lp15838
sg13
Nsg15
L1L
sass(g1693
g15174
g15832
L1L
tp15839
(dp15840
g6
VImageRotate[ein]
p15841
sg8
(lp15842
(dp15843
g11
(lp15844
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15832
L2L
tp15845
(dp15846
g6
VImageRotate[ein, 45 Degree]
p15847
sg8
(lp15848
(dp15849
g11
(lp15850
sg13
g15188
sg15
L3L
sass(g1693
g15174
g15832
L3L
tp15851
(dp15852
g6
VImageRotate[ein, Pi / 2]
p15853
sg8
(lp15854
(dp15855
g11
(lp15856
sg13
g15188
sg15
L4L
sass(g1693
g15174
VImageSubtract
p15857
L0L
tp15858
(dp15859
g6
Vi = Image[{{0, 0.5, 0.2, 0.1, 0.9}, {1.0, 0.1, 0.3, 0.8, 0.6}}];
p15860
sg8
(lp15861
(dp15862
g11
(lp15863
sg13
Nsg15
L1L
sass(g1693
g15174
g15857
L1L
tp15864
(dp15865
g6
VImageSubtract[i, 0.2]
p15866
sg8
(lp15867
(dp15868
g11
(lp15869
sg13
g15188
sg15
L2L
sass(g1693
g15174
g15857
L2L
tp15870
(dp15871
g6
VImageSubtract[i, i]
p15872
sg8
(lp15873
(dp15874
g11
(lp15875
sg13
g15188
sg15
L3L
sass(g1693
g15174
VImageType
p15876
L0L
tp15877
(dp15878
g6
Vimg = Import["ExampleData/lena.tif"];
p15879
sg8
(lp15880
(dp15881
g11
(lp15882
sg13
Nsg15
L1L
sass(g1693
g15174
g15876
L1L
tp15883
(dp15884
g6
VImageType[img]
p15885
sg8
(lp15886
(dp15887
g11
(lp15888
sg13
V\u005ctext{Byte}
p15889
sg15
L2L
sass(g1693
g15174
g15876
L2L
tp15890
(dp15891
g6
VImageType[Image[{{0, 1}, {1, 0}}]]
p15892
sg8
(lp15893
(dp15894
g11
(lp15895
sg13
V\u005ctext{Real}
p15896
sg15
L3L
sass(g1693
g15174
g15876
L3L
tp15897
(dp15898
g6
VImageType[Binarize[img]]
p15899
sg8
(lp15900
(dp15901
g11
(lp15902
sg13
V\u005ctext{Bit}
p15903
sg15
L4L
sass(g1693
g15174
VMaxFilter
p15904
L0L
tp15905
(dp15906
g6
Vlena = Import["ExampleData/lena.tif"];
p15907
sg8
(lp15908
(dp15909
g11
(lp15910
sg13
Nsg15
L1L
sass(g1693
g15174
g15904
L1L
tp15911
(dp15912
g6
VMaxFilter[lena, 5]
p15913
sg8
(lp15914
(dp15915
g11
(lp15916
sg13
g15188
sg15
L2L
sass(g1693
g15174
VMedianFilter
p15917
L0L
tp15918
(dp15919
g6
Vlena = Import["ExampleData/lena.tif"];
p15920
sg8
(lp15921
(dp15922
g11
(lp15923
sg13
Nsg15
L1L
sass(g1693
g15174
g15917
L1L
tp15924
(dp15925
g6
VMedianFilter[lena, 5]
p15926
sg8
(lp15927
(dp15928
g11
(lp15929
sg13
g15188
sg15
L2L
sass(g1693
g15174
VMinFilter
p15930
L0L
tp15931
(dp15932
g6
Vlena = Import["ExampleData/lena.tif"];
p15933
sg8
(lp15934
(dp15935
g11
(lp15936
sg13
Nsg15
L1L
sass(g1693
g15174
g15930
L1L
tp15937
(dp15938
g6
VMinFilter[lena, 5]
p15939
sg8
(lp15940
(dp15941
g11
(lp15942
sg13
g15188
sg15
L2L
sass(g1693
g15174
VOpening
p15943
L0L
tp15944
(dp15945
g6
Vein = Import["ExampleData/Einstein.jpg"];
p15946
sg8
(lp15947
(dp15948
g11
(lp15949
sg13
Nsg15
L1L
sass(g1693
g15174
g15943
L1L
tp15950
(dp15951
g6
VOpening[ein, 2.5]
p15952
sg8
(lp15953
(dp15954
g11
(lp15955
sg13
g15188
sg15
L2L
sass(g1693
g15174
VPixelValue
p15956
L0L
tp15957
(dp15958
g6
Vlena = Import["ExampleData/lena.tif"];
p15959
sg8
(lp15960
(dp15961
g11
(lp15962
sg13
Nsg15
L1L
sass(g1693
g15174
g15956
L1L
tp15963
(dp15964
g6
VPixelValue[lena, {1, 1}]
p15965
sg8
(lp15966
(dp15967
g11
(lp15968
sg13
V\u005cleft\u005c{0.321569,0.0862745,0.223529\u005cright\u005c}
p15969
sg15
L2L
sass(g1693
g15174
VPixelValuePositions
p15970
L0L
tp15971
(dp15972
g6
VPixelValuePositions[Image[{{0, 1}, {1, 0}, {1, 1}}], 1]
p15973
sg8
(lp15974
(dp15975
g11
(lp15976
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}
p15977
sg15
L1L
sass(g1693
g15174
g15970
L1L
tp15978
(dp15979
g6
VPixelValuePositions[Image[{{0.2, 0.4}, {0.9, 0.6}, {0.3, 0.8}}], 0.5, 0.15]
p15980
sg8
(lp15981
(dp15982
g11
(lp15983
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,2\u005cright\u005c},\u005cleft\u005c{2,3\u005cright\u005c}\u005cright\u005c}
p15984
sg15
L2L
sass(g1693
g15174
g15970
L2L
tp15985
(dp15986
g6
Vimg = Import["ExampleData/lena.tif"];
p15987
sg8
(lp15988
(dp15989
g11
(lp15990
sg13
Nsg15
L3L
sass(g1693
g15174
g15970
L3L
tp15991
(dp15992
g6
VPixelValuePositions[img, 3 / 255, 0.5 / 255]
p15993
sg8
(lp15994
(dp15995
g11
(lp15996
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}
p15997
sg15
L4L
sass(g1693
g15174
g15970
L4L
tp15998
(dp15999
g6
VPixelValue[img, {180, 192}]
p16000
sg8
(lp16001
(dp16002
g11
(lp16003
sg13
V\u005cleft\u005c{0.25098,0.0117647,0.215686\u005cright\u005c}
p16004
sg15
L5L
sass(g1693
g15174
VRandomImage
p16005
L0L
tp16006
(dp16007
g6
VRandomImage[1, {100, 100}]
p16008
sg8
(lp16009
(dp16010
g11
(lp16011
sg13
g15188
sg15
L1L
sass(g1693
g15174
VSharpen
p16012
L0L
tp16013
(dp16014
g6
Vlena = Import["ExampleData/lena.tif"];
p16015
sg8
(lp16016
(dp16017
g11
(lp16018
sg13
Nsg15
L1L
sass(g1693
g15174
g16012
L1L
tp16019
(dp16020
g6
VSharpen[lena]
p16021
sg8
(lp16022
(dp16023
g11
(lp16024
sg13
g15188
sg15
L2L
sass(g1693
g15174
g16012
L2L
tp16025
(dp16026
g6
VSharpen[lena, 5]
p16027
sg8
(lp16028
(dp16029
g11
(lp16030
sg13
g15188
sg15
L3L
sass(g1693
g15174
VThreshold
p16031
L0L
tp16032
(dp16033
g6
Vimg = Import["ExampleData/lena.tif"];
p16034
sg8
(lp16035
(dp16036
g11
(lp16037
sg13
Nsg15
L1L
sass(g1693
g15174
g16031
L1L
tp16038
(dp16039
g6
VThreshold[img]
p16040
sg8
(lp16041
(dp16042
g11
(lp16043
sg13
V0.456739
p16044
sg15
L2L
sass(g1693
g15174
g16031
L2L
tp16045
(dp16046
g6
VBinarize[img, %]
p16047
sg8
(lp16048
(dp16049
g11
(lp16050
sg13
g15188
sg15
L3L
sass(g1693
g15174
g16031
L3L
tp16051
(dp16052
g6
VThreshold[img, Method -> "Mean"]
p16053
sg8
(lp16054
(dp16055
g11
(lp16056
sg13
V0.486458
p16057
sg15
L4L
sass(g1693
g15174
g16031
L4L
tp16058
(dp16059
g6
VThreshold[img, Method -> "Median"]
p16060
sg8
(lp16061
(dp16062
g11
(lp16063
sg13
V0.504726
p16064
sg15
L5L
sass(g1693
g15174
VWordCloud
p16065
L0L
tp16066
(dp16067
g6
VWordCloud[StringSplit[Import["ExampleData/EinsteinSzilLetter.txt"]]]
p16068
sg8
(lp16069
(dp16070
g11
(lp16071
sg13
g15188
sg15
L1L
sass(g1693
g15174
g16065
L1L
tp16072
(dp16073
g6
VWordCloud[Range[50] -> ToString /@ Range[50]]
p16074
sg8
(lp16075
(dp16076
g11
(lp16077
sg13
g15188
sg15
L2L
sass(g1693
VSpecial Functions
p16078
VAiryAi
p16079
L0L
tp16080
(dp16081
g6
VAiryAi[0]
p16082
sg8
(lp16083
(dp16084
g11
(lp16085
sg13
V\u005cfrac{3^{\u005cfrac{1}{3}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{2}{3}\u005cright]}
p16086
sg15
L1L
sass(g1693
g16078
g16079
L1L
tp16087
(dp16088
g6
VAiryAi[0.5]
p16089
sg8
(lp16090
(dp16091
g11
(lp16092
sg13
V0.231694
p16093
sg15
L2L
sass(g1693
g16078
g16079
L2L
tp16094
(dp16095
g6
VAiryAi[0.5 + I]
p16096
sg8
(lp16097
(dp16098
g11
(lp16099
sg13
V0.157118-0.24104 I
p16100
sg15
L3L
sass(g1693
g16078
g16079
L3L
tp16101
(dp16102
g6
VPlot[AiryAi[x], {x, -10, 10}]
p16103
sg8
(lp16104
(dp16105
g11
(lp16106
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,-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
p16107
sg15
L4L
sass(g1693
g16078
VAiryAiPrime
p16108
L0L
tp16109
(dp16110
g6
VAiryAiPrime[0]
p16111
sg8
(lp16112
(dp16113
g11
(lp16114
sg13
V-\u005cfrac{3^{\u005cfrac{2}{3}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{1}{3}\u005cright]}
p16115
sg15
L1L
sass(g1693
g16078
g16108
L1L
tp16116
(dp16117
g6
VAiryAiPrime[0.5]
p16118
sg8
(lp16119
(dp16120
g11
(lp16121
sg13
V-0.224911
p16122
sg15
L2L
sass(g1693
g16078
VAiryAiZero
p16123
L0L
tp16124
(dp16125
g6
VN[AiryAiZero[1]]
p16126
sg8
(lp16127
(dp16128
g11
(lp16129
sg13
V-2.33811
p16130
sg15
L1L
sass(g1693
g16078
VAiryBi
p16131
L0L
tp16132
(dp16133
g6
VAiryBi[0]
p16134
sg8
(lp16135
(dp16136
g11
(lp16137
sg13
V\u005cfrac{3^{\u005cfrac{5}{6}}}{3 \u005ctext{Gamma}\u005cleft[\u005cfrac{2}{3}\u005cright]}
p16138
sg15
L1L
sass(g1693
g16078
g16131
L1L
tp16139
(dp16140
g6
VAiryBi[0.5]
p16141
sg8
(lp16142
(dp16143
g11
(lp16144
sg13
V0.854277
p16145
sg15
L2L
sass(g1693
g16078
g16131
L2L
tp16146
(dp16147
g6
VAiryBi[0.5 + I]
p16148
sg8
(lp16149
(dp16150
g11
(lp16151
sg13
V0.688145+0.370815 I
p16152
sg15
L3L
sass(g1693
g16078
g16131
L3L
tp16153
(dp16154
g6
VPlot[AiryBi[x], {x, -10, 2}]
p16155
sg8
(lp16156
(dp16157
g11
(lp16158
sg13
V\u000a\u005cbegin{asy}\u000ausepackage("amsmath");\u000asize(6.6667cm, 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0)+linewidth(0.66667));draw((333.33,221.35)--(340,221.35), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,-4.35786)--(337.33,-4.35786), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,17.1381)--(337.33,17.1381), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,27.8861)--(337.33,27.8861), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,38.6341)--(337.33,38.6341), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,49.3821)--(337.33,49.3821), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,70.8781)--(337.33,70.8781), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,81.6261)--(337.33,81.6261), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,92.3741)--(337.33,92.3741), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,103.122)--(337.33,103.122), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,124.618)--(337.33,124.618), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,135.366)--(337.33,135.366), rgb(0, 0, 0)+linewidth(0.66667));draw((333.33,146.114)--(337.33,146.114), rgb(0, 0, 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
p16159
sg15
L4L
sass(g1693
g16078
VAiryBiPrime
p16160
L0L
tp16161
(dp16162
g6
VAiryBiPrime[0]
p16163
sg8
(lp16164
(dp16165
g11
(lp16166
sg13
V\u005cfrac{3^{\u005cfrac{1}{6}}}{\u005ctext{Gamma}\u005cleft[\u005cfrac{1}{3}\u005cright]}
p16167
sg15
L1L
sass(g1693
g16078
g16160
L1L
tp16168
(dp16169
g6
VAiryBiPrime[0.5]
p16170
sg8
(lp16171
(dp16172
g11
(lp16173
sg13
V0.544573
p16174
sg15
L2L
sass(g1693
g16078
VAiryBiZero
p16175
L0L
tp16176
(dp16177
g6
VN[AiryBiZero[1]]
p16178
sg8
(lp16179
(dp16180
g11
(lp16181
sg13
V-1.17371
p16182
sg15
L1L
sass(g1693
g16078
VAngerJ
p16183
L0L
tp16184
(dp16185
g6
VAngerJ[1.5, 3.5]
p16186
sg8
(lp16187
(dp16188
g11
(lp16189
sg13
V0.294479
p16190
sg15
L1L
sass(g1693
g16078
g16183
L1L
tp16191
(dp16192
g6
VPlot[AngerJ[1, x], {x, -10, 10}]
p16193
sg8
(lp16194
(dp16195
g11
(lp16196
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
p16197
sg15
L2L
sass(g1693
g16078
VBesselI
p16198
L0L
tp16199
(dp16200
g6
VBesselI[1.5, 4]
p16201
sg8
(lp16202
(dp16203
g11
(lp16204
sg13
V8.17263
p16205
sg15
L1L
sass(g1693
g16078
g16198
L1L
tp16206
(dp16207
g6
VPlot[BesselI[0, x], {x, 0, 5}]
p16208
sg8
(lp16209
(dp16210
g11
(lp16211
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, 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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
p16212
sg15
L2L
sass(g1693
g16078
VBesselJ
p16213
L0L
tp16214
(dp16215
g6
VBesselJ[0, 5.2]
p16216
sg8
(lp16217
(dp16218
g11
(lp16219
sg13
V-0.11029
p16220
sg15
L1L
sass(g1693
g16078
g16213
L3L
tp16221
(dp16222
g6
VPlot[BesselJ[0, x], {x, 0, 10}]
p16223
sg8
(lp16224
(dp16225
g11
(lp16226
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
p16227
sg15
L2L
sass(g1693
g16078
VBesselJZero
p16228
L0L
tp16229
(dp16230
g6
VN[BesselJZero[0, 1]]
p16231
sg8
(lp16232
(dp16233
g11
(lp16234
sg13
V2.40483
p16235
sg15
L1L
sass(g1693
g16078
VBesselK
p16236
L0L
tp16237
(dp16238
g6
VBesselK[1.5, 4]
p16239
sg8
(lp16240
(dp16241
g11
(lp16242
sg13
V0.014347
p16243
sg15
L1L
sass(g1693
g16078
g16236
L1L
tp16244
(dp16245
g6
VPlot[BesselK[0, x], {x, 0, 5}]
p16246
sg8
(lp16247
(dp16248
g11
(lp16249
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
p16250
sg15
L2L
sass(g1693
g16078
VBesselY
p16251
L0L
tp16252
(dp16253
g6
VBesselY[1.5, 4]
p16254
sg8
(lp16255
(dp16256
g11
(lp16257
sg13
V0.367112
p16258
sg15
L1L
sass(g1693
g16078
g16251
L1L
tp16259
(dp16260
g6
VPlot[BesselY[0, x], {x, 0, 10}]
p16261
sg8
(lp16262
(dp16263
g11
(lp16264
sg13
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p16265
sg15
L2L
sass(g1693
g16078
VBesselYZero
p16266
L0L
tp16267
(dp16268
g6
VN[BesselYZero[0, 1]]
p16269
sg8
(lp16270
(dp16271
g11
(lp16272
sg13
V0.893577
p16273
sg15
L1L
sass(g1693
g16078
VChebyshevT
p16274
L0L
tp16275
(dp16276
g6
VChebyshevT[8, x]
p16277
sg8
(lp16278
(dp16279
g11
(lp16280
sg13
V1-32 x^2+160 x^4-256 x^6+128 x^8
p16281
sg15
L1L
sass(g1693
g16078
g16274
L1L
tp16282
(dp16283
g6
VChebyshevT[1 - I, 0.5]
p16284
sg8
(lp16285
(dp16286
g11
(lp16287
sg13
V0.800143+1.08198 I
p16288
sg15
L2L
sass(g1693
g16078
VChebyshevU
p16289
L0L
tp16290
(dp16291
g6
VChebyshevU[8, x]
p16292
sg8
(lp16293
(dp16294
g11
(lp16295
sg13
V1-40 x^2+240 x^4-448 x^6+256 x^8
p16296
sg15
L1L
sass(g1693
g16078
g16289
L1L
tp16297
(dp16298
g6
VChebyshevU[1 - I, 0.5]
p16299
sg8
(lp16300
(dp16301
g11
(lp16302
sg13
V1.60029+0.721322 I
p16303
sg15
L2L
sass(g1693
g16078
VErf
p16304
L0L
tp16305
(dp16306
g6
VErf[-x]
p16307
sg8
(lp16308
(dp16309
g11
(lp16310
sg13
V-\u005ctext{Erf}\u005cleft[x\u005cright]
p16311
sg15
L1L
sass(g1693
g16078
g16304
L1L
tp16312
(dp16313
g6
VErf[1.0]
p16314
sg8
(lp16315
(dp16316
g11
(lp16317
sg13
V0.842701
p16318
sg15
L2L
sass(g1693
g16078
g16304
L2L
tp16319
(dp16320
g6
VErf[0]
p16321
sg8
(lp16322
(dp16323
g11
(lp16324
sg13
V0
p16325
sg15
L3L
sass(g1693
g16078
g16304
L3L
tp16326
(dp16327
g6
V{Erf[0, x], Erf[x, 0]}
p16328
sg8
(lp16329
(dp16330
g11
(lp16331
sg13
V\u005cleft\u005c{\u005ctext{Erf}\u005cleft[x\u005cright],-\u005ctext{Erf}\u005cleft[x\u005cright]\u005cright\u005c}
p16332
sg15
L4L
sass(g1693
g16078
g16304
L4L
tp16333
(dp16334
g6
VPlot[Erf[x], {x, -2, 2}]
p16335
sg8
(lp16336
(dp16337
g11
(lp16338
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
p16339
sg15
L5L
sass(g1693
g16078
VErfc
p16340
L0L
tp16341
(dp16342
g6
VErfc[-x] / 2
p16343
sg8
(lp16344
(dp16345
g11
(lp16346
sg13
V\u005cfrac{2-\u005ctext{Erfc}\u005cleft[x\u005cright]}{2}
p16347
sg15
L1L
sass(g1693
g16078
g16340
L1L
tp16348
(dp16349
g6
VErfc[1.0]
p16350
sg8
(lp16351
(dp16352
g11
(lp16353
sg13
V0.157299
p16354
sg15
L2L
sass(g1693
g16078
g16340
L2L
tp16355
(dp16356
g6
VErfc[0]
p16357
sg8
(lp16358
(dp16359
g11
(lp16360
sg13
V1
p16361
sg15
L3L
sass(g1693
g16078
g16340
L3L
tp16362
(dp16363
g6
VPlot[Erfc[x], {x, -2, 2}]
p16364
sg8
(lp16365
(dp16366
g11
(lp16367
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
p16368
sg15
L4L
sass(g1693
g16078
VExpIntegralE
p16369
L0L
tp16370
(dp16371
g6
VExpIntegralE[2.0, 2.0]
p16372
sg8
(lp16373
(dp16374
g11
(lp16375
sg13
V0.0375343
p16376
sg15
L1L
sass(g1693
g16078
VExpIntegralEi
p16377
L0L
tp16378
(dp16379
g6
VExpIntegralEi[2.0]
p16380
sg8
(lp16381
(dp16382
g11
(lp16383
sg13
V4.95423
p16384
sg15
L1L
sass(g1693
g16078
VFresnelC
p16385
L0L
tp16386
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g6
VFresnelC[{0, Infinity}]
p16388
sg8
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g11
(lp16391
sg13
V\u005cleft\u005c{0,\u005cfrac{1}{2}\u005cright\u005c}
p16392
sg15
L1L
sass(g1693
g16078
g16385
L1L
tp16393
(dp16394
g6
VIntegrate[Cos[x^2 Pi/2], {x, 0, z}]
p16395
sg8
(lp16396
(dp16397
g11
(lp16398
sg13
V\u005cfrac{\u005ctext{FresnelC}\u005cleft[z\u005cright] \u005ctext{Gamma}\u005cleft[\u005cfrac{1}{4}\u005cright]}{4 \u005ctext{Gamma}\u005cleft[\u005cfrac{5}{4}\u005cright]}
p16399
sg15
L2L
sass(g1693
g16078
VFresnelS
p16400
L0L
tp16401
(dp16402
g6
VFresnelS[{0, Infinity}]
p16403
sg8
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g11
(lp16406
sg13
V\u005cleft\u005c{0,\u005cfrac{1}{2}\u005cright\u005c}
p16407
sg15
L1L
sass(g1693
g16078
g16400
L1L
tp16408
(dp16409
g6
VIntegrate[Sin[x^2 Pi/2], {x, 0, z}]
p16410
sg8
(lp16411
(dp16412
g11
(lp16413
sg13
V\u005cfrac{3 \u005ctext{FresnelS}\u005cleft[z\u005cright] \u005ctext{Gamma}\u005cleft[\u005cfrac{3}{4}\u005cright]}{4 \u005ctext{Gamma}\u005cleft[\u005cfrac{7}{4}\u005cright]}
p16414
sg15
L2L
sass(g1693
g16078
VGegenbauerC
p16415
L0L
tp16416
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g6
VGegenbauerC[6, 1, x]
p16418
sg8
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g11
(lp16421
sg13
V-1+24 x^2-80 x^4+64 x^6
p16422
sg15
L1L
sass(g1693
g16078
g16415
L1L
tp16423
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g6
VGegenbauerC[4 - I, 1 + 2 I, 0.7]
p16425
sg8
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g11
(lp16428
sg13
V-3.2621-24.9739 I
p16429
sg15
L2L
sass(g1693
g16078
VHankelH1
p16430
L0L
tp16431
(dp16432
g6
VHankelH1[1.5, 4]
p16433
sg8
(lp16434
(dp16435
g11
(lp16436
sg13
V0.185286+0.367112 I
p16437
sg15
L1L
sass(g1693
g16078
VHankelH2
p16438
L0L
tp16439
(dp16440
g6
VHankelH2[1.5, 4]
p16441
sg8
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g11
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sg13
V0.185286-0.367112 I
p16445
sg15
L1L
sass(g1693
g16078
VHermiteH
p16446
L0L
tp16447
(dp16448
g6
VHermiteH[8, x]
p16449
sg8
(lp16450
(dp16451
g11
(lp16452
sg13
V1680-13440 x^2+13440 x^4-3584 x^6+256 x^8
p16453
sg15
L1L
sass(g1693
g16078
g16446
L1L
tp16454
(dp16455
g6
VHermiteH[3, 1 + I]
p16456
sg8
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g11
(lp16459
sg13
V-28+4 I
p16460
sg15
L2L
sass(g1693
g16078
g16446
L2L
tp16461
(dp16462
g6
VHermiteH[4.2, 2]
p16463
sg8
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g11
(lp16466
sg13
V77.5291
p16467
sg15
L3L
sass(g1693
g16078
VInverseErf
p16468
L0L
tp16469
(dp16470
g6
VInverseErf /@ {-1, 0, 1}
p16471
sg8
(lp16472
(dp16473
g11
(lp16474
sg13
V\u005cleft\u005c{-\u005cinfty ,0,\u005cinfty \u005cright\u005c}
p16475
sg15
L1L
sass(g1693
g16078
g16468
L1L
tp16476
(dp16477
g6
VPlot[InverseErf[x], {x, -1, 1}]
p16478
sg8
(lp16479
(dp16480
g11
(lp16481
sg13
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p16482
sg15
L2L
sass(g1693
g16078
g16468
L2L
tp16483
(dp16484
g6
VInverseErf /@ {0.9, 1.0, 1.1}
p16485
sg8
(lp16486
(dp16487
g11
(lp16488
sg13
V\u005cleft\u005c{1.16309,\u005cinfty ,\u005ctext{InverseErf}\u005cleft[1.1\u005cright]\u005cright\u005c}
p16489
sg15
L3L
sass(g1693
g16078
VInverseErfc
p16490
L0L
tp16491
(dp16492
g6
VInverseErfc /@ {0, 1, 2}
p16493
sg8
(lp16494
(dp16495
g11
(lp16496
sg13
V\u005cleft\u005c{\u005cinfty ,0,-\u005cinfty \u005cright\u005c}
p16497
sg15
L1L
sass(g1693
g16078
VJacobiP
p16498
L0L
tp16499
(dp16500
g6
VJacobiP[1, a, b, z]
p16501
sg8
(lp16502
(dp16503
g11
(lp16504
sg13
V\u005cfrac{a}{2}-\u005cfrac{b}{2}+z \u005cleft(1+\u005cfrac{a}{2}+\u005cfrac{b}{2}\u005cright)
p16505
sg15
L1L
sass(g1693
g16078
g16498
L1L
tp16506
(dp16507
g6
VJacobiP[3.5 + I, 3, 2, 4 - I]
p16508
sg8
(lp16509
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g11
(lp16511
sg13
V1410.02+5797.3 I
p16512
sg15
L2L
sass(g1693
g16078
VKelvinBei
p16513
L0L
tp16514
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g6
VKelvinBei[0.5]
p16516
sg8
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g11
(lp16519
sg13
V0.0624932
p16520
sg15
L1L
sass(g1693
g16078
g16513
L1L
tp16521
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g6
VKelvinBei[1.5 + I]
p16523
sg8
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g11
(lp16526
sg13
V0.326323+0.755606 I
p16527
sg15
L2L
sass(g1693
g16078
g16513
L2L
tp16528
(dp16529
g6
VKelvinBei[0.5, 0.25]
p16530
sg8
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g11
(lp16533
sg13
V0.370153
p16534
sg15
L3L
sass(g1693
g16078
g16513
L3L
tp16535
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g6
VPlot[KelvinBei[x], {x, 0, 10}]
p16537
sg8
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g11
(lp16540
sg13
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0)+linewidth(0.66667));draw((0,228.616)--(4,228.616), rgb(0, 0, 0)+linewidth(0.66667));draw((0,237.295)--(4,237.295), rgb(0, 0, 0)+linewidth(0.66667));draw((0,245.973)--(4,245.973), rgb(0, 0, 0)+linewidth(0.66667));\u000a\u005cend{asy}\u000a
p16541
sg15
L4L
sass(g1693
g16078
VKelvinBer
p16542
L0L
tp16543
(dp16544
g6
VKelvinBer[0.5]
p16545
sg8
(lp16546
(dp16547
g11
(lp16548
sg13
V0.999023
p16549
sg15
L1L
sass(g1693
g16078
g16542
L1L
tp16550
(dp16551
g6
VKelvinBer[1.5 + I]
p16552
sg8
(lp16553
(dp16554
g11
(lp16555
sg13
V1.1162-0.117944 I
p16556
sg15
L2L
sass(g1693
g16078
g16542
L2L
tp16557
(dp16558
g6
VKelvinBer[0.5, 0.25]
p16559
sg8
(lp16560
(dp16561
g11
(lp16562
sg13
V0.148824
p16563
sg15
L3L
sass(g1693
g16078
g16542
L3L
tp16564
(dp16565
g6
VPlot[KelvinBer[x], {x, 0, 10}]
p16566
sg8
(lp16567
(dp16568
g11
(lp16569
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
p16570
sg15
L4L
sass(g1693
g16078
VKelvinKei
p16571
L0L
tp16572
(dp16573
g6
VKelvinKei[0.5]
p16574
sg8
(lp16575
(dp16576
g11
(lp16577
sg13
V-0.671582
p16578
sg15
L1L
sass(g1693
g16078
g16571
L1L
tp16579
(dp16580
g6
VKelvinKei[1.5 + I]
p16581
sg8
(lp16582
(dp16583
g11
(lp16584
sg13
V-0.248994+0.303326 I
p16585
sg15
L2L
sass(g1693
g16078
g16571
L2L
tp16586
(dp16587
g6
VKelvinKei[0.5, 0.25]
p16588
sg8
(lp16589
(dp16590
g11
(lp16591
sg13
V-2.0517
p16592
sg15
L3L
sass(g1693
g16078
g16571
L3L
tp16593
(dp16594
g6
VPlot[KelvinKei[x], {x, 0, 10}]
p16595
sg8
(lp16596
(dp16597
g11
(lp16598
sg13
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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
p16599
sg15
L4L
sass(g1693
g16078
VKelvinKer
p16600
L0L
tp16601
(dp16602
g6
VKelvinKer[0.5]
p16603
sg8
(lp16604
(dp16605
g11
(lp16606
sg13
V0.855906
p16607
sg15
L1L
sass(g1693
g16078
g16600
L1L
tp16608
(dp16609
g6
VKelvinKer[1.5 + I]
p16610
sg8
(lp16611
(dp16612
g11
(lp16613
sg13
V-0.167162-0.184404 I
p16614
sg15
L2L
sass(g1693
g16078
g16600
L2L
tp16615
(dp16616
g6
VKelvinKer[0.5, 0.25]
p16617
sg8
(lp16618
(dp16619
g11
(lp16620
sg13
V0.450023
p16621
sg15
L3L
sass(g1693
g16078
g16600
L3L
tp16622
(dp16623
g6
VPlot[KelvinKer[x], {x, 0, 10}]
p16624
sg8
(lp16625
(dp16626
g11
(lp16627
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
p16628
sg15
L4L
sass(g1693
g16078
VLaguerreL
p16629
L0L
tp16630
(dp16631
g6
VLaguerreL[8, x]
p16632
sg8
(lp16633
(dp16634
g11
(lp16635
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}
p16636
sg15
L1L
sass(g1693
g16078
g16629
L1L
tp16637
(dp16638
g6
VLaguerreL[3/2, 1.7]
p16639
sg8
(lp16640
(dp16641
g11
(lp16642
sg13
V-0.947134
p16643
sg15
L2L
sass(g1693
g16078
g16629
L2L
tp16644
(dp16645
g6
VLaguerreL[5, 2, x]
p16646
sg8
(lp16647
(dp16648
g11
(lp16649
sg13
V21-35 x+\u005cfrac{35 x^2}{2}-\u005cfrac{7 x^3}{2}+\u005cfrac{7 x^4}{24}-\u005cfrac{x^5}{120}
p16650
sg15
L3L
sass(g1693
g16078
VLegendreP
p16651
L0L
tp16652
(dp16653
g6
VLegendreP[4, x]
p16654
sg8
(lp16655
(dp16656
g11
(lp16657
sg13
V\u005cfrac{3}{8}-\u005cfrac{15 x^2}{4}+\u005cfrac{35 x^4}{8}
p16658
sg15
L1L
sass(g1693
g16078
g16651
L1L
tp16659
(dp16660
g6
VLegendreP[5/2, 1.5]
p16661
sg8
(lp16662
(dp16663
g11
(lp16664
sg13
V4.17762
p16665
sg15
L2L
sass(g1693
g16078
g16651
L2L
tp16666
(dp16667
g6
VLegendreP[1.75, 1.4, 0.53]
p16668
sg8
(lp16669
(dp16670
g11
(lp16671
sg13
V-1.32619
p16672
sg15
L3L
sass(g1693
g16078
g16651
L3L
tp16673
(dp16674
g6
VLegendreP[1.6, 3.1, 1.5]
p16675
sg8
(lp16676
(dp16677
g11
(lp16678
sg13
V-0.303998-1.91937 I
p16679
sg15
L4L
sass(g1693
g16078
g16651
L4L
tp16680
(dp16681
g6
VParametricPlot[ {LegendreP[7, x], LegendreP[5, x]}, {x, -1, 1}]
p16682
sg8
(lp16683
(dp16684
g11
(lp16685
sg13
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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
p16686
sg15
L5L
sass(g1693
g16078
VLegendreQ
p16687
L0L
tp16688
(dp16689
g6
VLegendreQ[5/2, 1.5]
p16690
sg8
(lp16691
(dp16692
g11
(lp16693
sg13
V0.036211-6.56219 I
p16694
sg15
L1L
sass(g1693
g16078
g16687
L1L
tp16695
(dp16696
g6
VLegendreQ[1.75, 1.4, 0.53]
p16697
sg8
(lp16698
(dp16699
g11
(lp16700
sg13
V2.05499
p16701
sg15
L2L
sass(g1693
g16078
g16687
L2L
tp16702
(dp16703
g6
VLegendreQ[1.6, 3.1, 1.5]
p16704
sg8
(lp16705
(dp16706
g11
(lp16707
sg13
V-1.71931-7.70273 I
p16708
sg15
L3L
sass(g1693
g16078
VLerchPhi
p16709
L0L
tp16710
(dp16711
g6
VLerchPhi[2, 3, -1.5]
p16712
sg8
(lp16713
(dp16714
g11
(lp16715
sg13
V19.3893-2.1346 I
p16716
sg15
L1L
sass(g1693
g16078
g16709
L1L
tp16717
(dp16718
g6
VLerchPhi[1, 2, 1/4]
p16719
sg8
(lp16720
(dp16721
g11
(lp16722
sg13
V17.1973
p16723
sg15
L2L
sass(g1693
g16078
VProductLog
p16724
L0L
tp16725
(dp16726
g6
Vz == ProductLog[z] * E ^ ProductLog[z]
p16727
sg8
(lp16728
(dp16729
g11
(lp16730
sg13
V\u005ctext{True}
p16731
sg15
L1L
sass(g1693
g16078
g16724
L1L
tp16732
(dp16733
g6
VProductLog[0]
p16734
sg8
(lp16735
(dp16736
g11
(lp16737
sg13
V0
p16738
sg15
L2L
sass(g1693
g16078
g16724
L2L
tp16739
(dp16740
g6
VProductLog[E]
p16741
sg8
(lp16742
(dp16743
g11
(lp16744
sg13
V1
p16745
sg15
L3L
sass(g1693
g16078
g16724
L3L
tp16746
(dp16747
g6
VPlot[ProductLog[x], {x, -1/E, E}]
p16748
sg8
(lp16749
(dp16750
g11
(lp16751
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,  105)--(105.36,106.452)--(107.14,107.886)--(110.71,110.697)--(112.5,112.076)--(114.29,113.438)--(117.86,116.112)--(121.43,118.723)--(125,121.274)--(128.57,123.769)--(132.14,126.208)--(135.71,128.596)--(139.29,130.935)--(142.86,133.226)--(146.43,135.471)--(150,137.674)--(153.57,139.834)--(157.14,141.955)--(160.71,144.037)--(164.29,146.082)--(171.43,150.067)--(178.57,153.92)--(185.71,157.65)--(192.86,161.265)--(200,164.773)--(207.14,168.179)--(214.29,171.491)--(221.43,174.713)--(228.57,177.851)--(235.71,180.909)--(242.86,183.891)--(250,186.802)--(257.14,189.644)--(264.29,192.422)--(271.43,195.138)--(278.57,197.795)--(285.71,200.396)--(292.86,202.943)--(300,205.438)--(307.14,207.885)--(314.29,210.284)--(321.43,212.637)--(328.57,214.947)--(335.71,217.216)--(342.86,219.443)--(350,221.632)--(357.14,223.784)--(364.29,225.899)--(371.43,227.98)--(378.57,230.027)--(385.71,232.041)--(392.86,234.024)--(400,235.977), rgb(0.2472, 0.24, 0.6)+linewidth(0.66667));\u000aclip(box((-16.667,-13.611), (416.67,260.82)));\u000adraw((-16,44.8345)--(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
p16752
sg15
L4L
sass(g1693
g16078
VSphericalHarmonicY
p16753
L0L
tp16754
(dp16755
g6
VSphericalHarmonicY[3/4, 0.5, Pi/5, Pi/3]
p16756
sg8
(lp16757
(dp16758
g11
(lp16759
sg13
V0.254247+0.14679 I
p16760
sg15
L1L
sass(g1693
g16078
g16753
L1L
tp16761
(dp16762
g6
VSphericalHarmonicY[3, 1, theta, phi]
p16763
sg8
(lp16764
(dp16765
g11
(lp16766
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}}}
p16767
sg15
L2L
sass(g1693
g16078
VStruveH
p16768
L0L
tp16769
(dp16770
g6
VStruveH[1.5, 3.5]
p16771
sg8
(lp16772
(dp16773
g11
(lp16774
sg13
V1.13192
p16775
sg15
L1L
sass(g1693
g16078
g16768
L1L
tp16776
(dp16777
g6
VPlot[StruveH[0, x], {x, 0, 20}]
p16778
sg8
(lp16779
(dp16780
g11
(lp16781
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
p16782
sg15
L2L
sass(g1693
g16078
VStruveL
p16783
L0L
tp16784
(dp16785
g6
VStruveL[1.5, 3.5]
p16786
sg8
(lp16787
(dp16788
g11
(lp16789
sg13
V4.41126
p16790
sg15
L1L
sass(g1693
g16078
g16783
L1L
tp16791
(dp16792
g6
VPlot[StruveL[0, x], {x, 0, 5}]
p16793
sg8
(lp16794
(dp16795
g11
(lp16796
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
p16797
sg15
L2L
sass(g1693
g16078
VWeberE
p16798
L0L
tp16799
(dp16800
g6
VWeberE[1.5, 3.5]
p16801
sg8
(lp16802
(dp16803
g11
(lp16804
sg13
V-0.397256
p16805
sg15
L1L
sass(g1693
g16078
g16798
L1L
tp16806
(dp16807
g6
VPlot[WeberE[1, x], {x, -10, 10}]
p16808
sg8
(lp16809
(dp16810
g11
(lp16811
sg13
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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
p16812
sg15
L2L
sass(g1693
g16078
VZeta
p16813
L0L
tp16814
(dp16815
g6
VZeta[2]
p16816
sg8
(lp16817
(dp16818
g11
(lp16819
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p16820
sg15
L1L
sass(g1693
g16078
g16813
L1L
tp16821
(dp16822
g6
VZeta[-2.5 + I]
p16823
sg8
(lp16824
(dp16825
g11
(lp16826
sg13
V0.0235936+0.0014078 I
p16827
sg15
L2L
sass(g1693
VPhysical and Chemical data
p16828
VElementData
p16829
L0L
tp16830
(dp16831
g6
VElementData[74]
p16832
sg8
(lp16833
(dp16834
g11
(lp16835
sg13
V\u005ctext{Tungsten}
p16836
sg15
L1L
sass(g1693
g16828
g16829
L1L
tp16837
(dp16838
g6
VElementData["He", "AbsoluteBoilingPoint"]
p16839
sg8
(lp16840
(dp16841
g11
(lp16842
sg13
V4.22
p16843
sg15
L2L
sass(g1693
g16828
g16829
L2L
tp16844
(dp16845
g6
VElementData["Carbon", "IonizationEnergies"]
p16846
sg8
(lp16847
(dp16848
g11
(lp16849
sg13
V\u005cleft\u005c{1086.5,2352.6,4620.5,6222.7,37831,47277.\u005cright\u005c}
p16850
sg15
L3L
sass(g1693
g16828
g16829
L3L
tp16851
(dp16852
g6
VElementData[16, "ElectronConfigurationString"]
p16853
sg8
(lp16854
(dp16855
g11
(lp16856
sg13
V\u005ctext{[Ne] 3s2 3p4}
p16857
sg15
L4L
sass(g1693
g16828
g16829
L4L
tp16858
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g6
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p16864
sg15
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sg8
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sg15
L6L
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g6
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sg8
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g11
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sg13
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p16878
sg15
L7L
sass(g1693
g16828
g16829
L7L
tp16879
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g6
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p16881
sg8
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g11
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sg13
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p16885
sg15
L8L
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g16828
g16829
L8L
tp16886
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p16888
sg8
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g11
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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}
p16892
sg15
L9L
sass(g1693
g16828
g16829
L9L
tp16893
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g6
VListPlot[Table[ElementData[z, "AtomicWeight"], {z, 118}]]
p16895
sg8
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g11
(lp16898
sg13
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p16899
sg15
L10L
sass(g1693
VCalculus
p16900
VD
p16901
L0L
tp16902
(dp16903
g6
VD[x^3 + x^2, x]
p16904
sg8
(lp16905
(dp16906
g11
(lp16907
sg13
V2 x+3 x^2
p16908
sg15
L1L
sass(g1693
g16900
g16901
L1L
tp16909
(dp16910
g6
VD[x^3 + x^2, {x, 2}]
p16911
sg8
(lp16912
(dp16913
g11
(lp16914
sg13
V2+6 x
p16915
sg15
L2L
sass(g1693
g16900
g16901
L2L
tp16916
(dp16917
g6
VD[Sin[Cos[x]], x]
p16918
sg8
(lp16919
(dp16920
g11
(lp16921
sg13
V-\u005ctext{Cos}\u005cleft[\u005ctext{Cos}\u005cleft[x\u005cright]\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright]
p16922
sg15
L3L
sass(g1693
g16900
g16901
L3L
tp16923
(dp16924
g6
VD[Sin[x], {x, 2}]
p16925
sg8
(lp16926
(dp16927
g11
(lp16928
sg13
V-\u005ctext{Sin}\u005cleft[x\u005cright]
p16929
sg15
L4L
sass(g1693
g16900
g16901
L4L
tp16930
(dp16931
g6
VD[Cos[t], {t, 2}]
p16932
sg8
(lp16933
(dp16934
g11
(lp16935
sg13
V-\u005ctext{Cos}\u005cleft[t\u005cright]
p16936
sg15
L5L
sass(g1693
g16900
g16901
L5L
tp16937
(dp16938
g6
VD[y, x]
p16939
sg8
(lp16940
(dp16941
g11
(lp16942
sg13
V0
p16943
sg15
L6L
sass(g1693
g16900
g16901
L6L
tp16944
(dp16945
g6
VD[x, x]
p16946
sg8
(lp16947
(dp16948
g11
(lp16949
sg13
V1
p16950
sg15
L7L
sass(g1693
g16900
g16901
L7L
tp16951
(dp16952
g6
VD[x + y, x]
p16953
sg8
(lp16954
(dp16955
g11
(lp16956
sg13
V1
p16957
sg15
L8L
sass(g1693
g16900
g16901
L8L
tp16958
(dp16959
g6
VD[f[x], x]
p16960
sg8
(lp16961
(dp16962
g11
(lp16963
sg13
Vf'\u005cleft[x\u005cright]
p16964
sg15
L9L
sass(g1693
g16900
g16901
L9L
tp16965
(dp16966
g6
VD[f[x, x], x]
p16967
sg8
(lp16968
(dp16969
g11
(lp16970
sg13
Vf^{\u005cleft(0,1\u005cright)}\u005cleft[x,x\u005cright]+f^{\u005cleft(1,0\u005cright)}\u005cleft[x,x\u005cright]
p16971
sg15
L10L
sass(g1693
g16900
g16901
L10L
tp16972
(dp16973
g6
VD[f[x, x], x] // InputForm
p16974
sg8
(lp16975
(dp16976
g11
(lp16977
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]
p16978
sg15
L11L
sass(g1693
g16900
g16901
L11L
tp16979
(dp16980
g6
VD[f[2x+1, 2y, x+y], x]
p16981
sg8
(lp16982
(dp16983
g11
(lp16984
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]
p16985
sg15
L12L
sass(g1693
g16900
g16901
L12L
tp16986
(dp16987
g6
VD[f[x^2, x, 2y], {x,2}, y] // Expand
p16988
sg8
(lp16989
(dp16990
g11
(lp16991
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]
p16992
sg15
L13L
sass(g1693
g16900
g16901
L13L
tp16993
(dp16994
g6
VD[x ^ 3 * Cos[y], {{x, y}}]
p16995
sg8
(lp16996
(dp16997
g11
(lp16998
sg13
V\u005cleft\u005c{3 x^2 \u005ctext{Cos}\u005cleft[y\u005cright],-x^3 \u005ctext{Sin}\u005cleft[y\u005cright]\u005cright\u005c}
p16999
sg15
L14L
sass(g1693
g16900
g16901
L14L
tp17000
(dp17001
g6
VD[Sin[x] * Cos[y], {{x,y}, 2}]
p17002
sg8
(lp17003
(dp17004
g11
(lp17005
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}
p17006
sg15
L15L
sass(g1693
g16900
VDerivative
p17007
L0L
tp17008
(dp17009
g6
VDerivative[1][Sin]
p17010
sg8
(lp17011
(dp17012
g11
(lp17013
sg13
V\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p17014
sg15
L1L
sass(g1693
g16900
g17007
L1L
tp17015
(dp17016
g6
VDerivative[3][Sin]
p17017
sg8
(lp17018
(dp17019
g11
(lp17020
sg13
V-\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright]\u005c&
p17021
sg15
L2L
sass(g1693
g16900
g17007
L2L
tp17022
(dp17023
g6
VDerivative[2][# ^ 3&]
p17024
sg8
(lp17025
(dp17026
g11
(lp17027
sg13
V6 \u005ctext{\u005c#1}\u005c&
p17028
sg15
L3L
sass(g1693
g16900
g17007
L3L
tp17029
(dp17030
g6
VSin'[x]
p17031
sg8
(lp17032
(dp17033
g11
(lp17034
sg13
V\u005ctext{Cos}\u005cleft[x\u005cright]
p17035
sg15
L4L
sass(g1693
g16900
g17007
L4L
tp17036
(dp17037
g6
V(# ^ 4&)''
p17038
sg8
(lp17039
(dp17040
g11
(lp17041
sg13
V12 \u005ctext{\u005c#1}^2\u005c&
p17042
sg15
L5L
sass(g1693
g16900
g17007
L5L
tp17043
(dp17044
g6
Vf'[x] // InputForm
p17045
sg8
(lp17046
(dp17047
g11
(lp17048
sg13
V\u005ctext{Derivative}\u005cleft[1\u005cright]\u005cleft[f\u005cright]\u005cleft[x\u005cright]
p17049
sg15
L6L
sass(g1693
g16900
g17007
L6L
tp17050
(dp17051
g6
VDerivative[1][#2 Sin[#1]+Cos[#2]&]
p17052
sg8
(lp17053
(dp17054
g11
(lp17055
sg13
V\u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright] \u005ctext{\u005c#2}\u005c&
p17056
sg15
L7L
sass(g1693
g16900
g17007
L7L
tp17057
(dp17058
g6
VDerivative[1,2][#2^3 Sin[#1]+Cos[#2]&]
p17059
sg8
(lp17060
(dp17061
g11
(lp17062
sg13
V6 \u005ctext{Cos}\u005cleft[\u005ctext{\u005c#1}\u005cright] \u005ctext{\u005c#2}\u005c&
p17063
sg15
L8L
sass(g1693
g16900
g17007
L8L
tp17064
(dp17065
g6
VDerivative[1,2,1][#2^3 Sin[#1]+Cos[#2]&]
p17066
sg8
(lp17067
(dp17068
g11
(lp17069
sg13
V0\u005c&
p17070
sg15
L9L
sass(g1693
g16900
g17007
L9L
tp17071
(dp17072
g6
VDerivative[0,0,0][a+b+c]
p17073
sg8
(lp17074
(dp17075
g11
(lp17076
sg13
Va+b+c
p17077
sg15
L10L
sass(g1693
g16900
g17007
L10L
tp17078
(dp17079
g6
Vf[x_] := x ^ 2
p17080
sg8
(lp17081
(dp17082
g11
(lp17083
sg13
Nsg15
L11L
sass(g1693
g16900
g17007
L11L
tp17084
(dp17085
g6
Vf'[x]
p17086
sg8
(lp17087
(dp17088
g11
(lp17089
sg13
V2 x
p17090
sg15
L12L
sass(g1693
g16900
g17007
L12L
tp17091
(dp17092
g6
VDerivative[2, 1][h]
p17093
sg8
(lp17094
(dp17095
g11
(lp17096
sg13
Vh^{\u005cleft(2,1\u005cright)}
p17097
sg15
L13L
sass(g1693
g16900
g17007
L13L
tp17098
(dp17099
g6
VDerivative[2, 0, 1, 0][h[g]]
p17100
sg8
(lp17101
(dp17102
g11
(lp17103
sg13
Vh\u005cleft[g\u005cright]^{\u005cleft(2,0,1,0\u005cright)}
p17104
sg15
L14L
sass(g1693
g16900
VDiscreteLimit
p17105
L0L
tp17106
(dp17107
g6
VDiscreteLimit[n/(n + 1), n -> Infinity]
p17108
sg8
(lp17109
(dp17110
g11
(lp17111
sg13
V1
p17112
sg15
L1L
sass(g1693
g16900
g17105
L1L
tp17113
(dp17114
g6
VDiscreteLimit[f[n], n -> Infinity]
p17115
sg8
(lp17116
(dp17117
g11
(lp17118
sg13
Vf\u005cleft[\u005cinfty \u005cright]
p17119
sg15
L2L
sass(g1693
g16900
VFindRoot
p17120
L0L
tp17121
(dp17122
g6
VFindRoot[Cos[x], {x, 1}]
p17123
sg8
(lp17124
(dp17125
g11
(lp17126
sg13
V\u005cleft\u005c{x->1.5708\u005cright\u005c}
p17127
sg15
L1L
sass(g1693
g16900
g17120
L1L
tp17128
(dp17129
g6
VFindRoot[Sin[x] + Exp[x],{x, 0}]
p17130
sg8
(lp17131
(dp17132
g11
(lp17133
sg13
V\u005cleft\u005c{x->-0.588533\u005cright\u005c}
p17134
sg15
L2L
sass(g1693
g16900
g17120
L2L
tp17135
(dp17136
g6
VFindRoot[Sin[x] + Exp[x] == Pi,{x, 0}]
p17137
sg8
(lp17138
(dp17139
g11
(lp17140
sg13
V\u005cleft\u005c{x->0.866815\u005cright\u005c}
p17141
sg15
L3L
sass(g1693
g16900
g17120
L3L
tp17142
(dp17143
g6
Vx = 3;
p17144
sg8
(lp17145
(dp17146
g11
(lp17147
sg13
Nsg15
L4L
sass(g1693
g16900
g17120
L4L
tp17148
(dp17149
g6
VFindRoot[Tan[x] + Sin[x] == Pi, {x, 1}]
p17150
sg8
(lp17151
(dp17152
g11
(lp17153
sg13
V\u005cleft\u005c{3->1.14911\u005cright\u005c}
p17154
sg15
L5L
sass(g1693
g16900
g17120
L5L
tp17155
(dp17156
g6
VClear[x]
p17157
sg8
(lp17158
(dp17159
g11
(lp17160
sg13
Nsg15
L6L
sass(g1693
g16900
g17120
L6L
tp17161
(dp17162
g6
VFindRoot[x^2 + x + 1, {x, 1}]
p17163
sg8
(lp17164
(dp17165
g11
(lp17166
(dp17167
g149
I01
sg150
VFindRoot
p17168
sg152
Vmaxiter
p17169
sg154
VFindRoot::maxiter
p17170
sg156
VThe maximum number of iterations was exceeded. The result might be inaccurate.
p17171
sasg13
V\u005cleft\u005c{x->-1.\u005cright\u005c}
p17172
sg15
L7L
sass(g1693
g16900
g17120
L7L
tp17173
(dp17174
g6
VFindRoot[x ^ 2 + x + 1, {x, -I}]
p17175
sg8
(lp17176
(dp17177
g11
(lp17178
sg13
V\u005cleft\u005c{x->-0.5-0.866025 I\u005cright\u005c}
p17179
sg15
L8L
sass(g1693
g16900
g17120
L8L
tp17180
(dp17181
g6
VFindRoot[f[x] == 0, {x, 0}]
p17182
sg8
(lp17183
(dp17184
g11
(lp17185
(dp17186
g149
I01
sg150
VFindRoot
p17187
sg152
Vnnum
p17188
sg154
VFindRoot::nnum
p17189
sg156
VThe function value is not a number at x = 0..
p17190
sasg13
V\u005ctext{FindRoot}\u005cleft[f\u005cleft[x\u005cright]-0,\u005cleft\u005c{x,0\u005cright\u005c}\u005cright]
p17191
sg15
L9L
sass(g1693
g16900
g17120
L9L
tp17192
(dp17193
g6
VFindRoot[Sin[x] == x, {x, 0}]
p17194
sg8
(lp17195
(dp17196
g11
(lp17197
(dp17198
g149
I01
sg150
VFindRoot
p17199
sg152
Vdsing
p17200
sg154
VFindRoot::dsing
p17201
sg156
VEncountered a singular derivative at the point x = 0..
p17202
sasg13
V\u005ctext{FindRoot}\u005cleft[\u005ctext{Sin}\u005cleft[x\u005cright]-x,\u005cleft\u005c{x,0\u005cright\u005c}\u005cright]
p17203
sg15
L10L
sass(g1693
g16900
VIntegers
p17204
L0L
tp17205
(dp17206
g6
VSolve[-4 - 4 x + x^4 + x^5 == 0, x, Integers]
p17207
sg8
(lp17208
(dp17209
g11
(lp17210
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c}\u005cright\u005c}
p17211
sg15
L1L
sass(g1693
g16900
g17204
L1L
tp17212
(dp17213
g6
VSolve[x^4 == 4, x, Integers]
p17214
sg8
(lp17215
(dp17216
g11
(lp17217
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17218
sg15
L2L
sass(g1693
g16900
VIntegrate
p17219
L0L
tp17220
(dp17221
g6
VIntegrate[6 x ^ 2 + 3 x ^ 2 - 4 x + 10, x]
p17222
sg8
(lp17223
(dp17224
g11
(lp17225
sg13
V10 x-2 x^2+3 x^3
p17226
sg15
L1L
sass(g1693
g16900
g17219
L1L
tp17227
(dp17228
g6
VIntegrate[Sin[x] ^ 5, x]
p17229
sg8
(lp17230
(dp17231
g11
(lp17232
sg13
V-\u005ctext{Cos}\u005cleft[x\u005cright]-\u005cfrac{\u005ctext{Cos}\u005cleft[x\u005cright]^5}{5}+\u005cfrac{2 \u005ctext{Cos}\u005cleft[x\u005cright]^3}{3}
p17233
sg15
L2L
sass(g1693
g16900
g17219
L2L
tp17234
(dp17235
g6
VIntegrate[x ^ 2 + x, {x, 1, 3}]
p17236
sg8
(lp17237
(dp17238
g11
(lp17239
sg13
V\u005cfrac{38}{3}
p17240
sg15
L3L
sass(g1693
g16900
g17219
L3L
tp17241
(dp17242
g6
VIntegrate[Sin[x], {x, 0, Pi/2}]
p17243
sg8
(lp17244
(dp17245
g11
(lp17246
sg13
V1
p17247
sg15
L4L
sass(g1693
g16900
g17219
L4L
tp17248
(dp17249
g6
VIntegrate[1 / (1 - 4 x + x^2), x]
p17250
sg8
(lp17251
(dp17252
g11
(lp17253
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}
p17254
sg15
L5L
sass(g1693
g16900
g17219
L5L
tp17255
(dp17256
g6
VIntegrate[4 Sin[x] Cos[x], x]
p17257
sg8
(lp17258
(dp17259
g11
(lp17260
sg13
V2 \u005ctext{Sin}\u005cleft[x\u005cright]^2
p17261
sg15
L6L
sass(g1693
g16900
g17219
L7L
tp17262
(dp17263
g6
VIntegrate[f[x], {x, a, b}] // TeXForm
p17264
sg8
(lp17265
(dp17266
g11
(lp17267
sg13
V\u005ctext{$\u005cbackslash$int\u005c_a${}^{\u005cwedge}$b f$\u005cbackslash$left[x$\u005cbackslash$right] $\u005cbackslash$, dx}
p17268
sg15
L7L
sass(g1693
g16900
g17219
L13L
tp17269
(dp17270
g6
VIntegrate[Abs[Sin[phi]], {phi, 0, 2Pi}] // N
p17271
sg8
(lp17272
(dp17273
g11
(lp17274
sg13
V4.
p17275
sg15
L8L
sass(g1693
g16900
g17219
L14L
tp17276
(dp17277
g6
V% // Precision
p17278
sg8
(lp17279
(dp17280
g11
(lp17281
sg13
V\u005ctext{MachinePrecision}
p17282
sg15
L9L
sass(g1693
g16900
g17219
L20L
tp17283
(dp17284
g6
VIntegrate[ArcSin[x / 3], x]
p17285
sg8
(lp17286
(dp17287
g11
(lp17288
sg13
Vx \u005ctext{ArcSin}\u005cleft[\u005cfrac{x}{3}\u005cright]+\u005csqrt{9-x^2}
p17289
sg15
L10L
sass(g1693
g16900
g17219
L21L
tp17290
(dp17291
g6
VIntegrate[f'[x], {x, a, b}]
p17292
sg8
(lp17293
(dp17294
g11
(lp17295
sg13
Vf\u005cleft[b\u005cright]-f\u005cleft[a\u005cright]
p17296
sg15
L11L
sass(g1693
g16900
VLimit
p17297
L0L
tp17298
(dp17299
g6
VLimit[x, x->2]
p17300
sg8
(lp17301
(dp17302
g11
(lp17303
sg13
V2
p17304
sg15
L1L
sass(g1693
g16900
g17297
L1L
tp17305
(dp17306
g6
VLimit[Sin[x] / x, x->0]
p17307
sg8
(lp17308
(dp17309
g11
(lp17310
sg13
V1
p17311
sg15
L2L
sass(g1693
g16900
g17297
L2L
tp17312
(dp17313
g6
VLimit[1/x, x->0, Direction->-1]
p17314
sg8
(lp17315
(dp17316
g11
(lp17317
sg13
g165
sg15
L3L
sass(g1693
g16900
g17297
L3L
tp17318
(dp17319
g6
VLimit[1/x, x->0, Direction->1]
p17320
sg8
(lp17321
(dp17322
g11
(lp17323
sg13
V-\u005cinfty 
p17324
sg15
L4L
sass(g1693
g16900
VReals
p17325
L0L
tp17326
(dp17327
g6
VSolve[x^3 == 1, x, Reals]
p17328
sg8
(lp17329
(dp17330
g11
(lp17331
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p17332
sg15
L1L
sass(g1693
g16900
VRoot
p17333
L0L
tp17334
(dp17335
g6
VRoot[#1 ^ 2 - 1&, 1]
p17336
sg8
(lp17337
(dp17338
g11
(lp17339
sg13
V-1
p17340
sg15
L1L
sass(g1693
g16900
g17333
L1L
tp17341
(dp17342
g6
VRoot[#1 ^ 2 - 1&, 2]
p17343
sg8
(lp17344
(dp17345
g11
(lp17346
sg13
V1
p17347
sg15
L2L
sass(g1693
g16900
g17333
L2L
tp17348
(dp17349
g6
VRoot[#1 ^ 5 + 2 #1 + 1&, 2]
p17350
sg8
(lp17351
(dp17352
g11
(lp17353
sg13
V\u005ctext{Root}\u005cleft[\u005ctext{\u005c#1}^5+2 \u005ctext{\u005c#1}+1\u005c&,2\u005cright]
p17354
sg15
L3L
sass(g1693
g16900
VSolve
p17355
L0L
tp17356
(dp17357
g6
VSolve[x ^ 2 - 3 x == 4, x]
p17358
sg8
(lp17359
(dp17360
g11
(lp17361
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->4\u005cright\u005c}\u005cright\u005c}
p17362
sg15
L1L
sass(g1693
g16900
g17355
L1L
tp17363
(dp17364
g6
VSolve[4 y - 8 == 0, y]
p17365
sg8
(lp17366
(dp17367
g11
(lp17368
sg13
V\u005cleft\u005c{\u005cleft\u005c{y->2\u005cright\u005c}\u005cright\u005c}
p17369
sg15
L2L
sass(g1693
g16900
g17355
L2L
tp17370
(dp17371
g6
Vsol = Solve[2 x^2 - 10 x - 12 == 0, x]
p17372
sg8
(lp17373
(dp17374
g11
(lp17375
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->6\u005cright\u005c}\u005cright\u005c}
p17376
sg15
L3L
sass(g1693
g16900
g17355
L3L
tp17377
(dp17378
g6
Vx /. sol
p17379
sg8
(lp17380
(dp17381
g11
(lp17382
sg13
V\u005cleft\u005c{-1,6\u005cright\u005c}
p17383
sg15
L4L
sass(g1693
g16900
g17355
L4L
tp17384
(dp17385
g6
VSolve[x + 1 == x, x]
p17386
sg8
(lp17387
(dp17388
g11
(lp17389
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17390
sg15
L5L
sass(g1693
g16900
g17355
L5L
tp17391
(dp17392
g6
VSolve[x ^ 2 == x ^ 2, x]
p17393
sg8
(lp17394
(dp17395
g11
(lp17396
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p17397
sg15
L6L
sass(g1693
g16900
g17355
L6L
tp17398
(dp17399
g6
VSolve[x / (x ^ 2 + 1) == 1, x]
p17400
sg8
(lp17401
(dp17402
g11
(lp17403
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}
p17404
sg15
L7L
sass(g1693
g16900
g17355
L7L
tp17405
(dp17406
g6
VSolve[(x^2 + 3 x + 2)/(4 x - 2) == 0, x]
p17407
sg8
(lp17408
(dp17409
g11
(lp17410
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-2\u005cright\u005c},\u005cleft\u005c{x->-1\u005cright\u005c}\u005cright\u005c}
p17411
sg15
L8L
sass(g1693
g16900
g17355
L8L
tp17412
(dp17413
g6
VSolve[Cos[x] == 0, x]
p17414
sg8
(lp17415
(dp17416
g11
(lp17417
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}
p17418
sg15
L9L
sass(g1693
g16900
g17355
L9L
tp17419
(dp17420
g6
VSolve[f[x + y] == 3, f[x + y]]
p17421
sg8
(lp17422
(dp17423
g11
(lp17424
sg13
V\u005cleft\u005c{\u005cleft\u005c{f\u005cleft[x+y\u005cright]->3\u005cright\u005c}\u005cright\u005c}
p17425
sg15
L10L
sass(g1693
g16900
g17355
L10L
tp17426
(dp17427
g6
VSolve[a + b == 2, a + b]
p17428
sg8
(lp17429
(dp17430
g11
(lp17431
(dp17432
g149
I01
sg150
VSolve
p17433
sg152
g9277
sg154
VSolve::ivar
p17434
sg156
Va + b is not a valid variable.
p17435
sasg13
V\u005ctext{Solve}\u005cleft[a+b\u005ctext{==}2,a+b\u005cright]
p17436
sg15
L11L
sass(g1693
g16900
g17355
L11L
tp17437
(dp17438
g6
Vx = 3;
p17439
sg8
(lp17440
(dp17441
g11
(lp17442
sg13
Nsg15
L12L
sass(g1693
g16900
g17355
L12L
tp17443
(dp17444
g6
VSolve[x == 2, x]
p17445
sg8
(lp17446
(dp17447
g11
(lp17448
(dp17449
g149
I01
sg150
VSolve
p17450
sg152
g9277
sg154
VSolve::ivar
p17451
sg156
V3 is not a valid variable.
p17452
sasg13
V\u005ctext{Solve}\u005cleft[\u005ctext{False},3\u005cright]
p17453
sg15
L13L
sass(g1693
g16900
g17355
L13L
tp17454
(dp17455
g6
VClear[x]
p17456
sg8
(lp17457
(dp17458
g11
(lp17459
sg13
Nsg15
L14L
sass(g1693
g16900
g17355
L14L
tp17460
(dp17461
g6
VSolve[a < b, a]
p17462
sg8
(lp17463
(dp17464
g11
(lp17465
(dp17466
g149
I01
sg150
VSolve
p17467
sg152
Veqf
p17468
sg154
VSolve::eqf
p17469
sg156
Va < b is not a well-formed equation.
p17470
sasg13
V\u005ctext{Solve}\u005cleft[a<b,a\u005cright]
p17471
sg15
L15L
sass(g1693
g16900
g17355
L15L
tp17472
(dp17473
g6
Veqs = {3 x ^ 2 - 3 y == 0, 3 y ^ 2 - 3 x == 0};
p17474
sg8
(lp17475
(dp17476
g11
(lp17477
sg13
Nsg15
L16L
sass(g1693
g16900
g17355
L16L
tp17478
(dp17479
g6
Vsol = Solve[eqs, {x, y}] // Simplify
p17480
sg8
(lp17481
(dp17482
g11
(lp17483
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}
p17484
sg15
L17L
sass(g1693
g16900
g17355
L17L
tp17485
(dp17486
g6
Veqs /. sol // Simplify
p17487
sg8
(lp17488
(dp17489
g11
(lp17490
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c},\u005cleft\u005c{\u005ctext{False},\u005ctext{False}\u005cright\u005c},\u005cleft\u005c{\u005ctext{True},\u005ctext{True}\u005cright\u005c}\u005cright\u005c}
p17491
sg15
L18L
sass(g1693
g16900
g17355
L18L
tp17492
(dp17493
g6
VSolve[x^2 == 1 && z^2 == -1, {x, y, z}]
p17494
sg8
(lp17495
(dp17496
g11
(lp17497
(dp17498
g149
I01
sg150
VSolve
p17499
sg152
Vsvars
p17500
sg154
VSolve::svars
p17501
sg156
VEquations may not give solutions for all "solve" variables.
p17502
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}
p17503
sg15
L19L
sass(g1693
g16900
g17355
L19L
tp17504
(dp17505
g6
VSolve[x^2 == -1, x, Reals]
p17506
sg8
(lp17507
(dp17508
g11
(lp17509
sg13
V\u005cleft\u005c{\u005cright\u005c}
p17510
sg15
L20L
sass(g1693
g16900
g17355
L20L
tp17511
(dp17512
g6
VSolve[x^2 == 1, x, Reals]
p17513
sg8
(lp17514
(dp17515
g11
(lp17516
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p17517
sg15
L21L
sass(g1693
g16900
g17355
L21L
tp17518
(dp17519
g6
VSolve[x^2 == -1, x, Complexes]
p17520
sg8
(lp17521
(dp17522
g11
(lp17523
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-I\u005cright\u005c},\u005cleft\u005c{x->I\u005cright\u005c}\u005cright\u005c}
p17524
sg15
L22L
sass(g1693
g16900
g17355
L22L
tp17525
(dp17526
g6
VSolve[4 - 4 * x^2 - x^4 + x^6 == 0, x, Integers]
p17527
sg8
(lp17528
(dp17529
g11
(lp17530
sg13
V\u005cleft\u005c{\u005cleft\u005c{x->-1\u005cright\u005c},\u005cleft\u005c{x->1\u005cright\u005c}\u005cright\u005c}
p17531
sg15
L23L
sass(g1693
VInteger Functions
p17532
VBitLength
p17533
L0L
tp17534
(dp17535
g6
VBitLength[1023]
p17536
sg8
(lp17537
(dp17538
g11
(lp17539
sg13
V10
p17540
sg15
L1L
sass(g1693
g17532
g17533
L1L
tp17541
(dp17542
g6
VBitLength[100]
p17543
sg8
(lp17544
(dp17545
g11
(lp17546
sg13
V7
p17547
sg15
L2L
sass(g1693
g17532
g17533
L2L
tp17548
(dp17549
g6
VBitLength[-5]
p17550
sg8
(lp17551
(dp17552
g11
(lp17553
sg13
V3
p17554
sg15
L3L
sass(g1693
g17532
g17533
L3L
tp17555
(dp17556
g6
VBitLength[0]
p17557
sg8
(lp17558
(dp17559
g11
(lp17560
sg13
V0
p17561
sg15
L4L
sass(g1693
g17532
VCeiling
p17562
L0L
tp17563
(dp17564
g6
VCeiling[1.2]
p17565
sg8
(lp17566
(dp17567
g11
(lp17568
sg13
V2
p17569
sg15
L1L
sass(g1693
g17532
g17562
L1L
tp17570
(dp17571
g6
VCeiling[3/2]
p17572
sg8
(lp17573
(dp17574
g11
(lp17575
sg13
V2
p17576
sg15
L2L
sass(g1693
g17532
g17562
L2L
tp17577
(dp17578
g6
VCeiling[1.3 + 0.7 I]
p17579
sg8
(lp17580
(dp17581
g11
(lp17582
sg13
V2+I
p17583
sg15
L3L
sass(g1693
g17532
VDigitCount
p17584
L0L
tp17585
(dp17586
g6
VDigitCount[1022]
p17587
sg8
(lp17588
(dp17589
g11
(lp17590
sg13
V\u005cleft\u005c{1,2,0,0,0,0,0,0,0,1\u005cright\u005c}
p17591
sg15
L1L
sass(g1693
g17532
g17584
L1L
tp17592
(dp17593
g6
VDigitCount[Floor[Pi * 10^100]]
p17594
sg8
(lp17595
(dp17596
g11
(lp17597
sg13
V\u005cleft\u005c{8,12,12,10,8,9,8,12,14,8\u005cright\u005c}
p17598
sg15
L2L
sass(g1693
g17532
g17584
L2L
tp17599
(dp17600
g6
VDigitCount[1022, 2]
p17601
sg8
(lp17602
(dp17603
g11
(lp17604
sg13
V\u005cleft\u005c{9,1\u005cright\u005c}
p17605
sg15
L3L
sass(g1693
g17532
g17584
L3L
tp17606
(dp17607
g6
VDigitCount[1022, 2, 1]
p17608
sg8
(lp17609
(dp17610
g11
(lp17611
sg13
V9
p17612
sg15
L4L
sass(g1693
g17532
VFloor
p17613
L0L
tp17614
(dp17615
g6
VFloor[10.4]
p17616
sg8
(lp17617
(dp17618
g11
(lp17619
sg13
V10
p17620
sg15
L1L
sass(g1693
g17532
g17613
L1L
tp17621
(dp17622
g6
VFloor[10/3]
p17623
sg8
(lp17624
(dp17625
g11
(lp17626
sg13
V3
p17627
sg15
L2L
sass(g1693
g17532
g17613
L2L
tp17628
(dp17629
g6
VFloor[10]
p17630
sg8
(lp17631
(dp17632
g11
(lp17633
sg13
V10
p17634
sg15
L3L
sass(g1693
g17532
g17613
L3L
tp17635
(dp17636
g6
VFloor[21, 2]
p17637
sg8
(lp17638
(dp17639
g11
(lp17640
sg13
V20
p17641
sg15
L4L
sass(g1693
g17532
g17613
L4L
tp17642
(dp17643
g6
VFloor[2.6, 0.5]
p17644
sg8
(lp17645
(dp17646
g11
(lp17647
sg13
V2.5
p17648
sg15
L5L
sass(g1693
g17532
g17613
L5L
tp17649
(dp17650
g6
VFloor[-10.4]
p17651
sg8
(lp17652
(dp17653
g11
(lp17654
sg13
V-11
p17655
sg15
L6L
sass(g1693
g17532
g17613
L6L
tp17656
(dp17657
g6
VFloor[1.5 + 2.7 I]
p17658
sg8
(lp17659
(dp17660
g11
(lp17661
sg13
V1+2 I
p17662
sg15
L7L
sass(g1693
g17532
g17613
L7L
tp17663
(dp17664
g6
VFloor[10.4, -1]
p17665
sg8
(lp17666
(dp17667
g11
(lp17668
sg13
V11
p17669
sg15
L8L
sass(g1693
g17532
g17613
L8L
tp17670
(dp17671
g6
VFloor[-10.4, -1]
p17672
sg8
(lp17673
(dp17674
g11
(lp17675
sg13
V-10
p17676
sg15
L9L
sass(g1693
g17532
VFromDigits
p17677
L0L
tp17678
(dp17679
g6
VFromDigits["123"]
p17680
sg8
(lp17681
(dp17682
g11
(lp17683
sg13
V123
p17684
sg15
L1L
sass(g1693
g17532
g17677
L1L
tp17685
(dp17686
g6
VFromDigits[{1, 2, 3}]
p17687
sg8
(lp17688
(dp17689
g11
(lp17690
sg13
V123
p17691
sg15
L2L
sass(g1693
g17532
g17677
L2L
tp17692
(dp17693
g6
VFromDigits[{1, 0, 1}, 1000]
p17694
sg8
(lp17695
(dp17696
g11
(lp17697
sg13
V1000001
p17698
sg15
L3L
sass(g1693
g17532
g17677
L3L
tp17699
(dp17700
g6
VFromDigits[{a, b, c}, 5]
p17701
sg8
(lp17702
(dp17703
g11
(lp17704
sg13
Vc+5 \u005cleft(5 a+b\u005cright)
p17705
sg15
L4L
sass(g1693
g17532
g17677
L4L
tp17706
(dp17707
g6
VFromDigits["a0"]
p17708
sg8
(lp17709
(dp17710
g11
(lp17711
sg13
V100
p17712
sg15
L5L
sass(g1693
g17532
g17677
L5L
tp17713
(dp17714
g6
VFromDigits["a0", 16]
p17715
sg8
(lp17716
(dp17717
g11
(lp17718
sg13
V160
p17719
sg15
L6L
sass(g1693
g17532
g17677
L6L
tp17720
(dp17721
g6
VFromDigits[{}]
p17722
sg8
(lp17723
(dp17724
g11
(lp17725
sg13
V0
p17726
sg15
L7L
sass(g1693
g17532
g17677
L7L
tp17727
(dp17728
g6
VFromDigits[""]
p17729
sg8
(lp17730
(dp17731
g11
(lp17732
sg13
V0
p17733
sg15
L8L
sass(g1693
g17532
VIntegerDigits
p17734
L0L
tp17735
(dp17736
g6
VIntegerDigits[12345]
p17737
sg8
(lp17738
(dp17739
g11
(lp17740
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p17741
sg15
L1L
sass(g1693
g17532
g17734
L1L
tp17742
(dp17743
g6
VIntegerDigits[-500]
p17744
sg8
(lp17745
(dp17746
g11
(lp17747
sg13
V\u005cleft\u005c{5,0,0\u005cright\u005c}
p17748
sg15
L2L
sass(g1693
g17532
g17734
L2L
tp17749
(dp17750
g6
VIntegerDigits[12345, 10, 8]
p17751
sg8
(lp17752
(dp17753
g11
(lp17754
sg13
V\u005cleft\u005c{0,0,0,1,2,3,4,5\u005cright\u005c}
p17755
sg15
L3L
sass(g1693
g17532
g17734
L3L
tp17756
(dp17757
g6
VIntegerDigits[12345, 10, 3]
p17758
sg8
(lp17759
(dp17760
g11
(lp17761
sg13
V\u005cleft\u005c{3,4,5\u005cright\u005c}
p17762
sg15
L4L
sass(g1693
g17532
g17734
L4L
tp17763
(dp17764
g6
VIntegerDigits[11, 2]
p17765
sg8
(lp17766
(dp17767
g11
(lp17768
sg13
V\u005cleft\u005c{1,0,1,1\u005cright\u005c}
p17769
sg15
L5L
sass(g1693
g17532
g17734
L5L
tp17770
(dp17771
g6
VIntegerDigits[123, 8]
p17772
sg8
(lp17773
(dp17774
g11
(lp17775
sg13
V\u005cleft\u005c{1,7,3\u005cright\u005c}
p17776
sg15
L6L
sass(g1693
g17532
g17734
L6L
tp17777
(dp17778
g6
VIntegerDigits[98765, 20]
p17779
sg8
(lp17780
(dp17781
g11
(lp17782
sg13
V\u005cleft\u005c{12,6,18,5\u005cright\u005c}
p17783
sg15
L7L
sass(g1693
g17532
VIntegerLength
p17784
L0L
tp17785
(dp17786
g6
VIntegerLength[123456]
p17787
sg8
(lp17788
(dp17789
g11
(lp17790
sg13
V6
p17791
sg15
L1L
sass(g1693
g17532
g17784
L1L
tp17792
(dp17793
g6
VIntegerLength[10^10000]
p17794
sg8
(lp17795
(dp17796
g11
(lp17797
sg13
V10001
p17798
sg15
L2L
sass(g1693
g17532
g17784
L2L
tp17799
(dp17800
g6
VIntegerLength[-10^1000]
p17801
sg8
(lp17802
(dp17803
g11
(lp17804
sg13
V1001
p17805
sg15
L3L
sass(g1693
g17532
g17784
L3L
tp17806
(dp17807
g6
VIntegerLength[8, 2]
p17808
sg8
(lp17809
(dp17810
g11
(lp17811
sg13
V4
p17812
sg15
L4L
sass(g1693
g17532
g17784
L4L
tp17813
(dp17814
g6
VIntegerLength /@ (10 ^ Range[100]) == Range[2, 101]
p17815
sg8
(lp17816
(dp17817
g11
(lp17818
sg13
V\u005ctext{True}
p17819
sg15
L5L
sass(g1693
g17532
g17784
L5L
tp17820
(dp17821
g6
VIntegerLength[3, -2]
p17822
sg8
(lp17823
(dp17824
g11
(lp17825
(dp17826
g149
I01
sg150
VIntegerLength
p17827
sg152
Vbase
p17828
sg154
VIntegerLength::base
p17829
sg156
VBase -2 is not an integer greater than 1.
p17830
sasg13
V\u005ctext{IntegerLength}\u005cleft[3,-2\u005cright]
p17831
sg15
L6L
sass(g1693
g17532
g17784
L6L
tp17832
(dp17833
g6
VIntegerLength[0]
p17834
sg8
(lp17835
(dp17836
g11
(lp17837
sg13
V0
p17838
sg15
L7L
sass(g1693
g17532
VIntegerReverse
p17839
L0L
tp17840
(dp17841
g6
VIntegerReverse[1234]
p17842
sg8
(lp17843
(dp17844
g11
(lp17845
sg13
V4321
p17846
sg15
L1L
sass(g1693
g17532
g17839
L1L
tp17847
(dp17848
g6
VIntegerReverse[1022, 2]
p17849
sg8
(lp17850
(dp17851
g11
(lp17852
sg13
V511
p17853
sg15
L2L
sass(g1693
g17532
g17839
L2L
tp17854
(dp17855
g6
VIntegerReverse[-123]
p17856
sg8
(lp17857
(dp17858
g11
(lp17859
sg13
V321
p17860
sg15
L3L
sass(g1693
g17532
VIntegerString
p17861
L0L
tp17862
(dp17863
g6
VIntegerString[12345]
p17864
sg8
(lp17865
(dp17866
g11
(lp17867
sg13
V\u005ctext{12345}
p17868
sg15
L1L
sass(g1693
g17532
g17861
L1L
tp17869
(dp17870
g6
VIntegerString[-500]
p17871
sg8
(lp17872
(dp17873
g11
(lp17874
sg13
V\u005ctext{500}
p17875
sg15
L2L
sass(g1693
g17532
g17861
L2L
tp17876
(dp17877
g6
VIntegerString[12345, 10, 8]
p17878
sg8
(lp17879
(dp17880
g11
(lp17881
sg13
V\u005ctext{00012345}
p17882
sg15
L3L
sass(g1693
g17532
g17861
L3L
tp17883
(dp17884
g6
VIntegerString[12345, 10, 3]
p17885
sg8
(lp17886
(dp17887
g11
(lp17888
sg13
V\u005ctext{345}
p17889
sg15
L4L
sass(g1693
g17532
g17861
L4L
tp17890
(dp17891
g6
VIntegerString[11, 2]
p17892
sg8
(lp17893
(dp17894
g11
(lp17895
sg13
V\u005ctext{1011}
p17896
sg15
L5L
sass(g1693
g17532
g17861
L5L
tp17897
(dp17898
g6
VIntegerString[123, 8]
p17899
sg8
(lp17900
(dp17901
g11
(lp17902
sg13
V\u005ctext{173}
p17903
sg15
L6L
sass(g1693
g17532
g17861
L6L
tp17904
(dp17905
g6
VIntegerString[32767, 16]
p17906
sg8
(lp17907
(dp17908
g11
(lp17909
sg13
V\u005ctext{7fff}
p17910
sg15
L7L
sass(g1693
g17532
g17861
L7L
tp17911
(dp17912
g6
VIntegerString[98765, 20]
p17913
sg8
(lp17914
(dp17915
g11
(lp17916
sg13
V\u005ctext{c6i5}
p17917
sg15
L8L
sass(g1693
VList Functions
p17918
VAccumulate
p17919
L0L
tp17920
(dp17921
g6
VAccumulate[{1, 2, 3}]
p17922
sg8
(lp17923
(dp17924
g11
(lp17925
sg13
V\u005cleft\u005c{1,3,6\u005cright\u005c}
p17926
sg15
L1L
sass(g1693
g17918
VAppend
p17927
L0L
tp17928
(dp17929
g6
VAppend[{1, 2, 3}, 4]
p17930
sg8
(lp17931
(dp17932
g11
(lp17933
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p17934
sg15
L1L
sass(g1693
g17918
g17927
L1L
tp17935
(dp17936
g6
VAppend[f[a, b], c]
p17937
sg8
(lp17938
(dp17939
g11
(lp17940
sg13
Vf\u005cleft[a,b,c\u005cright]
p17941
sg15
L2L
sass(g1693
g17918
g17927
L2L
tp17942
(dp17943
g6
VAppend[{a, b}, {c, d}]
p17944
sg8
(lp17945
(dp17946
g11
(lp17947
sg13
V\u005cleft\u005c{a,b,\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}
p17948
sg15
L3L
sass(g1693
g17918
VAppendTo
p17949
L0L
tp17950
(dp17951
g6
Vs = {};
p17952
sg8
(lp17953
(dp17954
g11
(lp17955
sg13
Nsg15
L1L
sass(g1693
g17918
g17949
L1L
tp17956
(dp17957
g6
VAppendTo[s, 1]
p17958
sg8
(lp17959
(dp17960
g11
(lp17961
sg13
V\u005cleft\u005c{1\u005cright\u005c}
p17962
sg15
L2L
sass(g1693
g17918
g17949
L2L
tp17963
(dp17964
g6
g9712
sg8
(lp17965
(dp17966
g11
(lp17967
sg13
V\u005cleft\u005c{1\u005cright\u005c}
p17968
sg15
L3L
sass(g1693
g17918
g17949
L3L
tp17969
(dp17970
g6
Vy = f[];
p17971
sg8
(lp17972
(dp17973
g11
(lp17974
sg13
Nsg15
L4L
sass(g1693
g17918
g17949
L4L
tp17975
(dp17976
g6
VAppendTo[y, x]
p17977
sg8
(lp17978
(dp17979
g11
(lp17980
sg13
Vf\u005cleft[x\u005cright]
p17981
sg15
L5L
sass(g1693
g17918
g17949
L5L
tp17982
(dp17983
g6
g2052
sg8
(lp17984
(dp17985
g11
(lp17986
sg13
Vf\u005cleft[x\u005cright]
p17987
sg15
L6L
sass(g1693
g17918
VArray
p17988
L0L
tp17989
(dp17990
g6
VArray[f, 4]
p17991
sg8
(lp17992
(dp17993
g11
(lp17994
sg13
V\u005cleft\u005c{f\u005cleft[1\u005cright],f\u005cleft[2\u005cright],f\u005cleft[3\u005cright],f\u005cleft[4\u005cright]\u005cright\u005c}
p17995
sg15
L1L
sass(g1693
g17918
g17988
L1L
tp17996
(dp17997
g6
VArray[f, {2, 3}]
p17998
sg8
(lp17999
(dp18000
g11
(lp18001
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}
p18002
sg15
L2L
sass(g1693
g17918
g17988
L2L
tp18003
(dp18004
g6
VArray[f, {2, 3}, 3]
p18005
sg8
(lp18006
(dp18007
g11
(lp18008
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}
p18009
sg15
L3L
sass(g1693
g17918
g17988
L3L
tp18010
(dp18011
g6
VArray[f, {2, 3}, {4, 6}]
p18012
sg8
(lp18013
(dp18014
g11
(lp18015
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}
p18016
sg15
L4L
sass(g1693
g17918
g17988
L4L
tp18017
(dp18018
g6
VArray[f, {2, 3}, 1, Plus]
p18019
sg8
(lp18020
(dp18021
g11
(lp18022
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]
p18023
sg15
L5L
sass(g1693
g17918
VAssociation
p18024
L0L
tp18025
(dp18026
g6
VHead[<|a -> x, b -> y, c -> z|>]
p18027
sg8
(lp18028
(dp18029
g11
(lp18030
sg13
V\u005ctext{Association}
p18031
sg15
L1L
sass(g1693
g17918
g18024
L1L
tp18032
(dp18033
g6
V<|a -> x, b -> y|>
p18034
sg8
(lp18035
(dp18036
g11
(lp18037
sg13
V\u005ctext{<$\u005cvert$}a->x,b->y\u005ctext{$\u005cvert$>}
p18038
sg15
L2L
sass(g1693
g17918
g18024
L2L
tp18039
(dp18040
g6
VAssociation[{a -> x, b -> y}]
p18041
sg8
(lp18042
(dp18043
g11
(lp18044
sg13
V\u005ctext{<$\u005cvert$}a->x,b->y\u005ctext{$\u005cvert$>}
p18045
sg15
L3L
sass(g1693
g17918
g18024
L3L
tp18046
(dp18047
g6
V<|a -> x, b -> y, <|a -> z, d -> t|>|>
p18048
sg8
(lp18049
(dp18050
g11
(lp18051
sg13
V\u005ctext{<$\u005cvert$}a->z,b->y,d->t\u005ctext{$\u005cvert$>}
p18052
sg15
L4L
sass(g1693
g17918
VAssociationQ
p18053
L0L
tp18054
(dp18055
g6
VAssociationQ[<|a -> 1, b :> 2|>]
p18056
sg8
(lp18057
(dp18058
g11
(lp18059
sg13
V\u005ctext{True}
p18060
sg15
L1L
sass(g1693
g17918
g18053
L1L
tp18061
(dp18062
g6
VAssociationQ[<|a, b|>]
p18063
sg8
(lp18064
(dp18065
g11
(lp18066
sg13
V\u005ctext{False}
p18067
sg15
L2L
sass(g1693
g17918
VByteArray
p18068
L0L
tp18069
(dp18070
g6
VA=ByteArray[{1, 25, 3}]
p18071
sg8
(lp18072
(dp18073
g11
(lp18074
sg13
V\u005ctext{ByteArray}\u005cleft[\u005ctext{"ARkD"}\u005cright]
p18075
sg15
L1L
sass(g1693
g17918
g18068
L1L
tp18076
(dp18077
g6
VA[[2]]
p18078
sg8
(lp18079
(dp18080
g11
(lp18081
sg13
V25
p18082
sg15
L2L
sass(g1693
g17918
g18068
L2L
tp18083
(dp18084
g6
VNormal[A]
p18085
sg8
(lp18086
(dp18087
g11
(lp18088
sg13
V\u005cleft\u005c{1,25,3\u005cright\u005c}
p18089
sg15
L3L
sass(g1693
g17918
g18068
L3L
tp18090
(dp18091
g6
VToString[A]
p18092
sg8
(lp18093
(dp18094
g11
(lp18095
sg13
V\u005ctext{ByteArray["ARkD"]}
p18096
sg15
L4L
sass(g1693
g17918
g18068
L4L
tp18097
(dp18098
g6
VByteArray["ARkD"]
p18099
sg8
(lp18100
(dp18101
g11
(lp18102
sg13
V\u005ctext{ByteArray}\u005cleft[\u005ctext{"ARkD"}\u005cright]
p18103
sg15
L5L
sass(g1693
g17918
g18068
L5L
tp18104
(dp18105
g6
VB=ByteArray["asy"]
p18106
sg8
(lp18107
(dp18108
g11
(lp18109
(dp18110
g149
I01
sg150
VByteArray
p18111
sg152
Vlend
p18112
sg154
VByteArray::lend
p18113
sg156
VThe first argument in Bytearray[asy] should be a B64 enconded string or a vector of integers.
p18114
sasg13
V\u005ctext{\u005c$Failed}
p18115
sg15
L6L
sass(g1693
g17918
VCases
p18116
L0L
tp18117
(dp18118
g6
VCases[{a, 1, 2.5, "string"}, _Integer|_Real]
p18119
sg8
(lp18120
(dp18121
g11
(lp18122
sg13
V\u005cleft\u005c{1,2.5\u005cright\u005c}
p18123
sg15
L1L
sass(g1693
g17918
g18116
L1L
tp18124
(dp18125
g6
VCases[_Complex][{1, 2I, 3, 4-I, 5}]
p18126
sg8
(lp18127
(dp18128
g11
(lp18129
sg13
V\u005cleft\u005c{2 I,4-I\u005cright\u005c}
p18130
sg15
L2L
sass(g1693
g17918
VCatenate
p18131
L0L
tp18132
(dp18133
g6
VCatenate[{{1, 2, 3}, {4, 5}}]
p18134
sg8
(lp18135
(dp18136
g11
(lp18137
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p18138
sg15
L1L
sass(g1693
g17918
VCentralMoment
p18139
L0L
tp18140
(dp18141
g6
VCentralMoment[{1.1, 1.2, 1.4, 2.1, 2.4}, 4]
p18142
sg8
(lp18143
(dp18144
g11
(lp18145
sg13
V0.100845
p18146
sg15
L1L
sass(g1693
g17918
VClusteringComponents
p18147
L0L
tp18148
(dp18149
g6
VClusteringComponents[{1, 2, 3, 1, 2, 10, 100}]
p18150
sg8
(lp18151
(dp18152
g11
(lp18153
sg13
V\u005cleft\u005c{1,1,1,1,1,1,2\u005cright\u005c}
p18154
sg15
L1L
sass(g1693
g17918
g18147
L1L
tp18155
(dp18156
g6
VClusteringComponents[{10, 100, 20}, Method -> "KMeans"]
p18157
sg8
(lp18158
(dp18159
g11
(lp18160
sg13
V\u005cleft\u005c{1,0,1\u005cright\u005c}
p18161
sg15
L2L
sass(g1693
g17918
VComplement
p18162
L0L
tp18163
(dp18164
g6
VComplement[{a, b, c}, {a, c}]
p18165
sg8
(lp18166
(dp18167
g11
(lp18168
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p18169
sg15
L1L
sass(g1693
g17918
g18162
L1L
tp18170
(dp18171
g6
VComplement[{a, b, c}, {a, c}, {b}]
p18172
sg8
(lp18173
(dp18174
g11
(lp18175
sg13
V\u005cleft\u005c{\u005cright\u005c}
p18176
sg15
L2L
sass(g1693
g17918
g18162
L2L
tp18177
(dp18178
g6
VComplement[f[z, y, x, w], f[x], f[x, z]]
p18179
sg8
(lp18180
(dp18181
g11
(lp18182
sg13
Vf\u005cleft[w,y\u005cright]
p18183
sg15
L3L
sass(g1693
g17918
g18162
L3L
tp18184
(dp18185
g6
VComplement[{c, b, a}]
p18186
sg8
(lp18187
(dp18188
g11
(lp18189
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p18190
sg15
L4L
sass(g1693
g17918
VConstantArray
p18191
L0L
tp18192
(dp18193
g6
VConstantArray[a, 3]
p18194
sg8
(lp18195
(dp18196
g11
(lp18197
sg13
V\u005cleft\u005c{a,a,a\u005cright\u005c}
p18198
sg15
L1L
sass(g1693
g17918
g18191
L1L
tp18199
(dp18200
g6
VConstantArray[a, {2, 3}]
p18201
sg8
(lp18202
(dp18203
g11
(lp18204
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,a,a\u005cright\u005c},\u005cleft\u005c{a,a,a\u005cright\u005c}\u005cright\u005c}
p18205
sg15
L2L
sass(g1693
g17918
VContainsOnly
p18206
L0L
tp18207
(dp18208
g6
VContainsOnly[{b, a, a}, {a, b, c}]
p18209
sg8
(lp18210
(dp18211
g11
(lp18212
sg13
V\u005ctext{True}
p18213
sg15
L1L
sass(g1693
g17918
g18206
L1L
tp18214
(dp18215
g6
VContainsOnly[{b, a, d}, {a, b, c}]
p18216
sg8
(lp18217
(dp18218
g11
(lp18219
sg13
V\u005ctext{False}
p18220
sg15
L2L
sass(g1693
g17918
g18206
L2L
tp18221
(dp18222
g6
VContainsOnly[{}, {a, b, c}]
p18223
sg8
(lp18224
(dp18225
g11
(lp18226
sg13
V\u005ctext{True}
p18227
sg15
L3L
sass(g1693
g17918
g18206
L5L
tp18228
(dp18229
g6
VContainsOnly[{a, 1.0}, {1, a, b}, {SameTest -> Equal}]
p18230
sg8
(lp18231
(dp18232
g11
(lp18233
sg13
V\u005ctext{True}
p18234
sg15
L4L
sass(g1693
g17918
VCorrelation
p18235
L0L
tp18236
(dp18237
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}]
p18238
sg8
(lp18239
(dp18240
g11
(lp18241
sg13
V0.816421
p18242
sg15
L1L
sass(g1693
g17918
VCount
p18243
L0L
tp18244
(dp18245
g6
VCount[{3, 7, 10, 7, 5, 3, 7, 10}, 3]
p18246
sg8
(lp18247
(dp18248
g11
(lp18249
sg13
V2
p18250
sg15
L1L
sass(g1693
g17918
g18243
L1L
tp18251
(dp18252
g6
VCount[{{a, a}, {a, a, a}, a}, a, {2}]
p18253
sg8
(lp18254
(dp18255
g11
(lp18256
sg13
V5
p18257
sg15
L2L
sass(g1693
g17918
VCovariance
p18258
L0L
tp18259
(dp18260
g6
VCovariance[{0.2, 0.3, 0.1}, {0.3, 0.3, -0.2}]
p18261
sg8
(lp18262
(dp18263
g11
(lp18264
sg13
V0.025
p18265
sg15
L1L
sass(g1693
g17918
VDelete
p18266
L0L
tp18267
(dp18268
g6
VDelete[{a, b, c, d}, 3]
p18269
sg8
(lp18270
(dp18271
g11
(lp18272
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p18273
sg15
L1L
sass(g1693
g17918
g18266
L1L
tp18274
(dp18275
g6
VDelete[{a, b, c, d}, -2]
p18276
sg8
(lp18277
(dp18278
g11
(lp18279
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p18280
sg15
L2L
sass(g1693
g17918
g18266
L2L
tp18281
(dp18282
g6
VDelete[{a, b, c, d}, {{1}, {3}}]
p18283
sg8
(lp18284
(dp18285
g11
(lp18286
sg13
V\u005cleft\u005c{b,d\u005cright\u005c}
p18287
sg15
L3L
sass(g1693
g17918
g18266
L3L
tp18288
(dp18289
g6
VDelete[{{a, b}, {c, d}}, {2, 1}]
p18290
sg8
(lp18291
(dp18292
g11
(lp18293
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{d\u005cright\u005c}\u005cright\u005c}
p18294
sg15
L4L
sass(g1693
g17918
g18266
L4L
tp18295
(dp18296
g6
VDelete[{a, b, c}, 0]
p18297
sg8
(lp18298
(dp18299
g11
(lp18300
sg13
V\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]
p18301
sg15
L5L
sass(g1693
g17918
g18266
L5L
tp18302
(dp18303
g6
VDelete[f[a, b, c, d], 3]
p18304
sg8
(lp18305
(dp18306
g11
(lp18307
sg13
Vf\u005cleft[a,b,d\u005cright]
p18308
sg15
L6L
sass(g1693
g17918
g18266
L6L
tp18309
(dp18310
g6
VDelete[f[a, b, u + v, c], {3, 0}]
p18311
sg8
(lp18312
(dp18313
g11
(lp18314
sg13
Vf\u005cleft[a,b,u,v,c\u005cright]
p18315
sg15
L7L
sass(g1693
g17918
g18266
L7L
tp18316
(dp18317
g6
VDelete[{a, b, c}, 0]
p18318
sg8
(lp18319
(dp18320
g11
(lp18321
sg13
V\u005ctext{Sequence}\u005cleft[a,b,c\u005cright]
p18322
sg15
L8L
sass(g1693
g17918
g18266
L11L
tp18323
(dp18324
g6
VDelete[{a, b, c, d}]
p18325
sg8
(lp18326
(dp18327
g11
(lp18328
(dp18329
g149
I01
sg150
VDelete
p18330
sg152
Vargr
p18331
sg154
VDelete::argr
p18332
sg156
VDelete called with 1 argument; 2 arguments are expected.
p18333
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c}\u005cright]
p18334
sg15
L9L
sass(g1693
g17918
g18266
L12L
tp18335
(dp18336
g6
VDelete[{a, b, c, d}, 1, 2]
p18337
sg8
(lp18338
(dp18339
g11
(lp18340
(dp18341
g149
I01
sg150
VDelete
p18342
sg152
Vargt
p18343
sg154
VDelete::argt
p18344
sg156
VDelete called with 3 arguments; 2 arguments are expected.
p18345
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},1,2\u005cright]
p18346
sg15
L10L
sass(g1693
g17918
g18266
L13L
tp18347
(dp18348
g6
VDelete[{a, b, c, d}, 5]
p18349
sg8
(lp18350
(dp18351
g11
(lp18352
(dp18353
g149
I01
sg150
VPart
p18354
sg152
Vpartw
p18355
sg154
VPart::partw
p18356
sg156
VPart {5} of {a, b, c, d} does not exist.
p18357
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},5\u005cright]
p18358
sg15
L11L
sass(g1693
g17918
g18266
L15L
tp18359
(dp18360
g6
VDelete[{a, b, c, d}, {1, n}]
p18361
sg8
(lp18362
(dp18363
g11
(lp18364
(dp18365
g149
I01
sg150
VDelete
p18366
sg152
Vpsl
p18367
sg154
VDelete::psl
p18368
sg156
VPosition specification n in {a, b, c, d} is not a machine-sized integer or a list of machine-sized integers.
p18369
sasg13
V\u005ctext{Delete}\u005cleft[\u005cleft\u005c{a,b,c,d\u005cright\u005c},\u005cleft\u005c{1,n\u005cright\u005c}\u005cright]
p18370
sg15
L12L
sass(g1693
g17918
VDeleteCases
p18371
L0L
tp18372
(dp18373
g6
VDeleteCases[{a, 1, 2.5, "string"}, _Integer|_Real]
p18374
sg8
(lp18375
(dp18376
g11
(lp18377
sg13
V\u005cleft\u005c{a,\u005ctext{string}\u005cright\u005c}
p18378
sg15
L1L
sass(g1693
g17918
g18371
L1L
tp18379
(dp18380
g6
VDeleteCases[{a, b, 1, c, 2, 3}, _Symbol]
p18381
sg8
(lp18382
(dp18383
g11
(lp18384
sg13
V\u005cleft\u005c{1,2,3\u005cright\u005c}
p18385
sg15
L2L
sass(g1693
g17918
VDeleteDuplicates
p18386
L0L
tp18387
(dp18388
g6
VDeleteDuplicates[{1, 7, 8, 4, 3, 4, 1, 9, 9, 2, 1}]
p18389
sg8
(lp18390
(dp18391
g11
(lp18392
sg13
V\u005cleft\u005c{1,7,8,4,3,9,2\u005cright\u005c}
p18393
sg15
L1L
sass(g1693
g17918
g18386
L1L
tp18394
(dp18395
g6
VDeleteDuplicates[{3,2,1,2,3,4}, Less]
p18396
sg8
(lp18397
(dp18398
g11
(lp18399
sg13
V\u005cleft\u005c{3,2,1\u005cright\u005c}
p18400
sg15
L2L
sass(g1693
g17918
VDrop
p18401
L0L
tp18402
(dp18403
g6
VDrop[{a, b, c, d}, 3]
p18404
sg8
(lp18405
(dp18406
g11
(lp18407
sg13
V\u005cleft\u005c{d\u005cright\u005c}
p18408
sg15
L1L
sass(g1693
g17918
g18401
L1L
tp18409
(dp18410
g6
VDrop[{a, b, c, d}, -2]
p18411
sg8
(lp18412
(dp18413
g11
(lp18414
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p18415
sg15
L2L
sass(g1693
g17918
g18401
L2L
tp18416
(dp18417
g6
VDrop[{a, b, c, d, e}, {2, -2}]
p18418
sg8
(lp18419
(dp18420
g11
(lp18421
sg13
V\u005cleft\u005c{a,e\u005cright\u005c}
p18422
sg15
L3L
sass(g1693
g17918
g18401
L3L
tp18423
(dp18424
g6
VA = Table[i*10 + j, {i, 4}, {j, 4}]
p18425
sg8
(lp18426
(dp18427
g11
(lp18428
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}
p18429
sg15
L4L
sass(g1693
g17918
g18401
L4L
tp18430
(dp18431
g6
VDrop[A, {2, 3}, {2, 3}]
p18432
sg8
(lp18433
(dp18434
g11
(lp18435
sg13
V\u005cleft\u005c{\u005cleft\u005c{11,14\u005cright\u005c},\u005cleft\u005c{41,44\u005cright\u005c}\u005cright\u005c}
p18436
sg15
L5L
sass(g1693
g17918
VExtract
p18437
L0L
tp18438
(dp18439
g6
VExtract[a + b + c, {2}]
p18440
sg8
(lp18441
(dp18442
g11
(lp18443
sg13
g261
sg15
L1L
sass(g1693
g17918
g18437
L1L
tp18444
(dp18445
g6
VExtract[{{a, b}, {c, d}}, {{1}, {2, 2}}]
p18446
sg8
(lp18447
(dp18448
g11
(lp18449
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},d\u005cright\u005c}
p18450
sg15
L2L
sass(g1693
g17918
VFindClusters
p18451
L0L
tp18452
(dp18453
g6
VFindClusters[{1, 2, 20, 10, 11, 40, 19, 42}]
p18454
sg8
(lp18455
(dp18456
g11
(lp18457
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,20,10,11,19\u005cright\u005c},\u005cleft\u005c{40,42\u005cright\u005c}\u005cright\u005c}
p18458
sg15
L1L
sass(g1693
g17918
g18451
L1L
tp18459
(dp18460
g6
VFindClusters[{25, 100, 17, 20}]
p18461
sg8
(lp18462
(dp18463
g11
(lp18464
sg13
V\u005cleft\u005c{\u005cleft\u005c{25,17,20\u005cright\u005c},\u005cleft\u005c{100\u005cright\u005c}\u005cright\u005c}
p18465
sg15
L2L
sass(g1693
g17918
g18451
L2L
tp18466
(dp18467
g6
VFindClusters[{3, 6, 1, 100, 20, 5, 25, 17, -10, 2}]
p18468
sg8
(lp18469
(dp18470
g11
(lp18471
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}
p18472
sg15
L3L
sass(g1693
g17918
g18451
L3L
tp18473
(dp18474
g6
VFindClusters[{1, 2, 10, 11, 20, 21}]
p18475
sg8
(lp18476
(dp18477
g11
(lp18478
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{10,11\u005cright\u005c},\u005cleft\u005c{20,21\u005cright\u005c}\u005cright\u005c}
p18479
sg15
L4L
sass(g1693
g17918
g18451
L4L
tp18480
(dp18481
g6
VFindClusters[{1, 2, 10, 11, 20, 21}, 2]
p18482
sg8
(lp18483
(dp18484
g11
(lp18485
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,10,11\u005cright\u005c},\u005cleft\u005c{20,21\u005cright\u005c}\u005cright\u005c}
p18486
sg15
L5L
sass(g1693
g17918
g18451
L5L
tp18487
(dp18488
g6
VFindClusters[{1 -> a, 2 -> b, 10 -> c}]
p18489
sg8
(lp18490
(dp18491
g11
(lp18492
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p18493
sg15
L6L
sass(g1693
g17918
g18451
L6L
tp18494
(dp18495
g6
VFindClusters[{1, 2, 5} -> {a, b, c}]
p18496
sg8
(lp18497
(dp18498
g11
(lp18499
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c\u005cright\u005c}\u005cright\u005c}
p18500
sg15
L7L
sass(g1693
g17918
g18451
L7L
tp18501
(dp18502
g6
VFindClusters[{1, 2, 3, 1, 2, 10, 100}, Method -> "Agglomerate"]
p18503
sg8
(lp18504
(dp18505
g11
(lp18506
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3,1,2,10\u005cright\u005c},\u005cleft\u005c{100\u005cright\u005c}\u005cright\u005c}
p18507
sg15
L8L
sass(g1693
g17918
g18451
L8L
tp18508
(dp18509
g6
VFindClusters[{1, 2, 3, 10, 17, 18}, Method -> "Agglomerate"]
p18510
sg8
(lp18511
(dp18512
g11
(lp18513
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,3\u005cright\u005c},\u005cleft\u005c{10\u005cright\u005c},\u005cleft\u005c{17,18\u005cright\u005c}\u005cright\u005c}
p18514
sg15
L9L
sass(g1693
g17918
g18451
L9L
tp18515
(dp18516
g6
VFindClusters[{{1}, {5, 6}, {7}, {2, 4}}, DistanceFunction -> (Abs[Length[#1] - Length[#2]]&)]
p18517
sg8
(lp18518
(dp18519
g11
(lp18520
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}
p18521
sg15
L10L
sass(g1693
g17918
g18451
L10L
tp18522
(dp18523
g6
VFindClusters[{"meep", "heap", "deep", "weep", "sheep", "leap", "keep"}, 3]
p18524
sg8
(lp18525
(dp18526
g11
(lp18527
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}
p18528
sg15
L11L
sass(g1693
g17918
VFirst
p18529
L0L
tp18530
(dp18531
g6
VFirst[{a, b, c}]
p18532
sg8
(lp18533
(dp18534
g11
(lp18535
sg13
g542
sg15
L1L
sass(g1693
g17918
g18529
L1L
tp18536
(dp18537
g6
VFirst[a + b + c]
p18538
sg8
(lp18539
(dp18540
g11
(lp18541
sg13
g542
sg15
L2L
sass(g1693
g17918
g18529
L2L
tp18542
(dp18543
g6
VFirst[x]
p18544
sg8
(lp18545
(dp18546
g11
(lp18547
(dp18548
g149
I01
sg150
VFirst
p18549
sg152
g10997
sg154
VFirst::normal
p18550
sg156
g10999
sasg13
V\u005ctext{First}\u005cleft[x\u005cright]
p18551
sg15
L3L
sass(g1693
g17918
VFirstPosition
p18552
L0L
tp18553
(dp18554
g6
VFirstPosition[{a, b, a, a, b, c, b}, b]
p18555
sg8
(lp18556
(dp18557
g11
(lp18558
sg13
V\u005cleft\u005c{2\u005cright\u005c}
p18559
sg15
L1L
sass(g1693
g17918
g18552
L1L
tp18560
(dp18561
g6
VFirstPosition[{{a, a, b}, {b, a, a}, {a, b, a}}, b]
p18562
sg8
(lp18563
(dp18564
g11
(lp18565
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p18566
sg15
L2L
sass(g1693
g17918
g18552
L2L
tp18567
(dp18568
g6
VFirstPosition[{x, y, z}, b]
p18569
sg8
(lp18570
(dp18571
g11
(lp18572
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotFound}\u005cright]
p18573
sg15
L3L
sass(g1693
g17918
g18552
L3L
tp18574
(dp18575
g6
VFirstPosition[{1 + x^2, 5, x^4, a + (1 + x^2)^2}, x^2]
p18576
sg8
(lp18577
(dp18578
g11
(lp18579
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p18580
sg15
L4L
sass(g1693
g17918
VFold
p18581
L0L
tp18582
(dp18583
g6
VFold[Plus, 5, {1, 1, 1}]
p18584
sg8
(lp18585
(dp18586
g11
(lp18587
sg13
V8
p18588
sg15
L1L
sass(g1693
g17918
g18581
L1L
tp18589
(dp18590
g6
VFold[f, 5, {1, 2, 3}]
p18591
sg8
(lp18592
(dp18593
g11
(lp18594
sg13
Vf\u005cleft[f\u005cleft[f\u005cleft[5,1\u005cright],2\u005cright],3\u005cright]
p18595
sg15
L2L
sass(g1693
g17918
VFoldList
p18596
L0L
tp18597
(dp18598
g6
VFoldList[f, x, {1, 2, 3}]
p18599
sg8
(lp18600
(dp18601
g11
(lp18602
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}
p18603
sg15
L1L
sass(g1693
g17918
g18596
L1L
tp18604
(dp18605
g6
VFoldList[Times, {1, 2, 3}]
p18606
sg8
(lp18607
(dp18608
g11
(lp18609
sg13
V\u005cleft\u005c{1,2,6\u005cright\u005c}
p18610
sg15
L2L
sass(g1693
g17918
VGather
p18611
L0L
tp18612
(dp18613
g6
VGather[{1, 7, 3, 7, 2, 3, 9}]
p18614
sg8
(lp18615
(dp18616
g11
(lp18617
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}
p18618
sg15
L1L
sass(g1693
g17918
g18611
L1L
tp18619
(dp18620
g6
VGather[{1/3, 2/6, 1/9}]
p18621
sg8
(lp18622
(dp18623
g11
(lp18624
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cfrac{1}{3},\u005cfrac{1}{3}\u005cright\u005c},\u005cleft\u005c{\u005cfrac{1}{9}\u005cright\u005c}\u005cright\u005c}
p18625
sg15
L2L
sass(g1693
g17918
VGatherBy
p18626
L0L
tp18627
(dp18628
g6
VGatherBy[{{1, 3}, {2, 2}, {1, 1}}, Total]
p18629
sg8
(lp18630
(dp18631
g11
(lp18632
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}
p18633
sg15
L1L
sass(g1693
g17918
g18626
L1L
tp18634
(dp18635
g6
VGatherBy[{"xy", "abc", "ab"}, StringLength]
p18636
sg8
(lp18637
(dp18638
g11
(lp18639
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{xy},\u005ctext{ab}\u005cright\u005c},\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}\u005cright\u005c}
p18640
sg15
L2L
sass(g1693
g17918
g18626
L2L
tp18641
(dp18642
g6
VGatherBy[{{2, 0}, {1, 5}, {1, 0}}, Last]
p18643
sg8
(lp18644
(dp18645
g11
(lp18646
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}
p18647
sg15
L3L
sass(g1693
g17918
g18626
L3L
tp18648
(dp18649
g6
VGatherBy[{{1, 2}, {2, 1}, {3, 5}, {5, 1}, {2, 2, 2}}, {Total, Length}]
p18650
sg8
(lp18651
(dp18652
g11
(lp18653
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}
p18654
sg15
L4L
sass(g1693
g17918
VInsert
p18655
L0L
tp18656
(dp18657
g6
VInsert[{a,b,c,d,e}, x, 3]
p18658
sg8
(lp18659
(dp18660
g11
(lp18661
sg13
V\u005cleft\u005c{a,b,x,c,d,e\u005cright\u005c}
p18662
sg15
L1L
sass(g1693
g17918
g18655
L1L
tp18663
(dp18664
g6
VInsert[{a,b,c,d,e}, x, -2]
p18665
sg8
(lp18666
(dp18667
g11
(lp18668
sg13
V\u005cleft\u005c{a,b,c,d,x,e\u005cright\u005c}
p18669
sg15
L2L
sass(g1693
g17918
VIntersection
p18670
L0L
tp18671
(dp18672
g6
VIntersection[{1000, 100, 10, 1}, {1, 5, 10, 15}]
p18673
sg8
(lp18674
(dp18675
g11
(lp18676
sg13
V\u005cleft\u005c{1,10\u005cright\u005c}
p18677
sg15
L1L
sass(g1693
g17918
g18670
L1L
tp18678
(dp18679
g6
VIntersection[{{a, b}, {x, y}}, {{x, x}, {x, y}, {x, z}}]
p18680
sg8
(lp18681
(dp18682
g11
(lp18683
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c}\u005cright\u005c}
p18684
sg15
L2L
sass(g1693
g17918
g18670
L2L
tp18685
(dp18686
g6
VIntersection[{c, b, a}]
p18687
sg8
(lp18688
(dp18689
g11
(lp18690
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p18691
sg15
L3L
sass(g1693
g17918
g18670
L3L
tp18692
(dp18693
g6
VIntersection[{1, 2, 3}, {2, 3, 4}, SameTest->Less]
p18694
sg8
(lp18695
(dp18696
g11
(lp18697
sg13
V\u005cleft\u005c{3\u005cright\u005c}
p18698
sg15
L4L
sass(g1693
g17918
VJoin
p18699
L0L
tp18700
(dp18701
g6
VJoin[{a, b}, {c, d, e}]
p18702
sg8
(lp18703
(dp18704
g11
(lp18705
sg13
V\u005cleft\u005c{a,b,c,d,e\u005cright\u005c}
p18706
sg15
L1L
sass(g1693
g17918
g18699
L1L
tp18707
(dp18708
g6
VJoin[{{a, b}, {c, d}}, {{1, 2}, {3, 4}}]
p18709
sg8
(lp18710
(dp18711
g11
(lp18712
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}
p18713
sg15
L2L
sass(g1693
g17918
g18699
L2L
tp18714
(dp18715
g6
VJoin[a + b, c + d, e + f]
p18716
sg8
(lp18717
(dp18718
g11
(lp18719
sg13
Va+b+c+d+e+f
p18720
sg15
L3L
sass(g1693
g17918
g18699
L3L
tp18721
(dp18722
g6
VJoin[a + b, c * d]
p18723
sg8
(lp18724
(dp18725
g11
(lp18726
(dp18727
g149
I01
sg150
VJoin
p18728
sg152
Vheads
p18729
sg154
VJoin::heads
p18730
sg156
VHeads Plus and Times are expected to be the same.
p18731
sasg13
V\u005ctext{Join}\u005cleft[a+b,c d\u005cright]
p18732
sg15
L4L
sass(g1693
g17918
VKeys
p18733
L0L
tp18734
(dp18735
g6
VKeys[<|a -> x, b -> y|>]
p18736
sg8
(lp18737
(dp18738
g11
(lp18739
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p18740
sg15
L1L
sass(g1693
g17918
g18733
L1L
tp18741
(dp18742
g6
VKeys[{a -> x, b -> y}]
p18743
sg8
(lp18744
(dp18745
g11
(lp18746
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p18747
sg15
L2L
sass(g1693
g17918
g18733
L2L
tp18748
(dp18749
g6
VKeys[{<|a -> x, b -> y|>, {w -> z, {}}}]
p18750
sg8
(lp18751
(dp18752
g11
(lp18753
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{w,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18754
sg15
L3L
sass(g1693
g17918
g18733
L3L
tp18755
(dp18756
g6
VKeys[{c -> z, b -> y, a -> x}]
p18757
sg8
(lp18758
(dp18759
g11
(lp18760
sg13
V\u005cleft\u005c{c,b,a\u005cright\u005c}
p18761
sg15
L4L
sass(g1693
g17918
VKurtosis
p18762
L0L
tp18763
(dp18764
g6
VKurtosis[{1.1, 1.2, 1.4, 2.1, 2.4}]
p18765
sg8
(lp18766
(dp18767
g11
(lp18768
sg13
V1.42098
p18769
sg15
L1L
sass(g1693
g17918
VLast
p18770
L0L
tp18771
(dp18772
g6
VLast[{a, b, c}]
p18773
sg8
(lp18774
(dp18775
g11
(lp18776
sg13
g444
sg15
L1L
sass(g1693
g17918
g18770
L1L
tp18777
(dp18778
g6
VLast[x]
p18779
sg8
(lp18780
(dp18781
g11
(lp18782
(dp18783
g149
I01
sg150
VLast
p18784
sg152
g10997
sg154
VLast::normal
p18785
sg156
g10999
sasg13
V\u005ctext{Last}\u005cleft[x\u005cright]
p18786
sg15
L2L
sass(g1693
g17918
VLeafCount
p18787
L0L
tp18788
(dp18789
g6
VLeafCount[1 + x + y^a]
p18790
sg8
(lp18791
(dp18792
g11
(lp18793
sg13
V6
p18794
sg15
L1L
sass(g1693
g17918
g18787
L1L
tp18795
(dp18796
g6
VLeafCount[f[x, y]]
p18797
sg8
(lp18798
(dp18799
g11
(lp18800
sg13
V3
p18801
sg15
L2L
sass(g1693
g17918
g18787
L2L
tp18802
(dp18803
g6
VLeafCount[{1 / 3, 1 + I}]
p18804
sg8
(lp18805
(dp18806
g11
(lp18807
sg13
V7
p18808
sg15
L3L
sass(g1693
g17918
g18787
L3L
tp18809
(dp18810
g6
VLeafCount[Sqrt[2]]
p18811
sg8
(lp18812
(dp18813
g11
(lp18814
sg13
V5
p18815
sg15
L4L
sass(g1693
g17918
g18787
L4L
tp18816
(dp18817
g6
VLeafCount[100!]
p18818
sg8
(lp18819
(dp18820
g11
(lp18821
sg13
V1
p18822
sg15
L5L
sass(g1693
g17918
VLength
p18823
L0L
tp18824
(dp18825
g6
VLength[{1, 2, 3}]
p18826
sg8
(lp18827
(dp18828
g11
(lp18829
sg13
V3
p18830
sg15
L1L
sass(g1693
g17918
g18823
L1L
tp18831
(dp18832
g6
VLength[Exp[x]]
p18833
sg8
(lp18834
(dp18835
g11
(lp18836
sg13
V2
p18837
sg15
L2L
sass(g1693
g17918
g18823
L2L
tp18838
(dp18839
g6
VFullForm[Exp[x]]
p18840
sg8
(lp18841
(dp18842
g11
(lp18843
sg13
V\u005ctext{Power}\u005cleft[E, x\u005cright]
p18844
sg15
L3L
sass(g1693
g17918
g18823
L3L
tp18845
(dp18846
g6
VLength[a]
p18847
sg8
(lp18848
(dp18849
g11
(lp18850
sg13
V0
p18851
sg15
L4L
sass(g1693
g17918
g18823
L4L
tp18852
(dp18853
g6
VLength[1/3]
p18854
sg8
(lp18855
(dp18856
g11
(lp18857
sg13
V0
p18858
sg15
L5L
sass(g1693
g17918
g18823
L5L
tp18859
(dp18860
g6
VFullForm[1/3]
p18861
sg8
(lp18862
(dp18863
g11
(lp18864
sg13
V\u005ctext{Rational}\u005cleft[1, 3\u005cright]
p18865
sg15
L6L
sass(g1693
g17918
VLevel
p18866
L0L
tp18867
(dp18868
g6
VLevel[a + b ^ 3 * f[2 x ^ 2], {-1}]
p18869
sg8
(lp18870
(dp18871
g11
(lp18872
sg13
V\u005cleft\u005c{a,b,3,2,x,2\u005cright\u005c}
p18873
sg15
L1L
sass(g1693
g17918
g18866
L1L
tp18874
(dp18875
g6
VLevel[{{{{a}}}}, 3]
p18876
sg8
(lp18877
(dp18878
g11
(lp18879
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}
p18880
sg15
L2L
sass(g1693
g17918
g18866
L2L
tp18881
(dp18882
g6
VLevel[{{{{a}}}}, -4]
p18883
sg8
(lp18884
(dp18885
g11
(lp18886
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{\u005cleft\u005c{a\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18887
sg15
L3L
sass(g1693
g17918
g18866
L3L
tp18888
(dp18889
g6
VLevel[{{{{a}}}}, -5]
p18890
sg8
(lp18891
(dp18892
g11
(lp18893
sg13
V\u005cleft\u005c{\u005cright\u005c}
p18894
sg15
L4L
sass(g1693
g17918
g18866
L4L
tp18895
(dp18896
g6
VLevel[h0[h1[h2[h3[a]]]], {0, -1}]
p18897
sg8
(lp18898
(dp18899
g11
(lp18900
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}
p18901
sg15
L5L
sass(g1693
g17918
g18866
L5L
tp18902
(dp18903
g6
VLevel[{{{{a}}}}, 3, Heads -> True]
p18904
sg8
(lp18905
(dp18906
g11
(lp18907
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}
p18908
sg15
L6L
sass(g1693
g17918
g18866
L6L
tp18909
(dp18910
g6
VLevel[x^2 + y^3, 3, Heads -> True]
p18911
sg8
(lp18912
(dp18913
g11
(lp18914
sg13
V\u005cleft\u005c{\u005ctext{Plus},\u005ctext{Power},x,2,x^2,\u005ctext{Power},y,3,y^3\u005cright\u005c}
p18915
sg15
L7L
sass(g1693
g17918
g18866
L7L
tp18916
(dp18917
g6
VLevel[a ^ 2 + 2 * b, {-1}, Heads -> True]
p18918
sg8
(lp18919
(dp18920
g11
(lp18921
sg13
V\u005cleft\u005c{\u005ctext{Plus},\u005ctext{Power},a,2,\u005ctext{Times},2,b\u005cright\u005c}
p18922
sg15
L8L
sass(g1693
g17918
g18866
L8L
tp18923
(dp18924
g6
VLevel[f[g[h]][x], {-1}, Heads -> True]
p18925
sg8
(lp18926
(dp18927
g11
(lp18928
sg13
V\u005cleft\u005c{f,g,h,x\u005cright\u005c}
p18929
sg15
L9L
sass(g1693
g17918
g18866
L9L
tp18930
(dp18931
g6
VLevel[f[g[h]][x], {-2, -1}, Heads -> True]
p18932
sg8
(lp18933
(dp18934
g11
(lp18935
sg13
V\u005cleft\u005c{f,g,h,g\u005cleft[h\u005cright],x,f\u005cleft[g\u005cleft[h\u005cright]\u005cright]\u005cleft[x\u005cright]\u005cright\u005c}
p18936
sg15
L10L
sass(g1693
g17918
VLevelQ
p18937
L0L
tp18938
(dp18939
g6
VLevelQ[2]
p18940
sg8
(lp18941
(dp18942
g11
(lp18943
sg13
V\u005ctext{True}
p18944
sg15
L1L
sass(g1693
g17918
g18937
L1L
tp18945
(dp18946
g6
VLevelQ[{2, 4}]
p18947
sg8
(lp18948
(dp18949
g11
(lp18950
sg13
V\u005ctext{True}
p18951
sg15
L2L
sass(g1693
g17918
g18937
L2L
tp18952
(dp18953
g6
VLevelQ[Infinity]
p18954
sg8
(lp18955
(dp18956
g11
(lp18957
sg13
V\u005ctext{True}
p18958
sg15
L3L
sass(g1693
g17918
g18937
L3L
tp18959
(dp18960
g6
VLevelQ[a + b]
p18961
sg8
(lp18962
(dp18963
g11
(lp18964
sg13
V\u005ctext{False}
p18965
sg15
L4L
sass(g1693
g17918
VList
p18966
L0L
tp18967
(dp18968
g6
VHead[{1, 2, 3}]
p18969
sg8
(lp18970
(dp18971
g11
(lp18972
sg13
V\u005ctext{List}
p18973
sg15
L1L
sass(g1693
g17918
g18966
L1L
tp18974
(dp18975
g6
V{{a, b, {c, d}}}
p18976
sg8
(lp18977
(dp18978
g11
(lp18979
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b,\u005cleft\u005c{c,d\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p18980
sg15
L2L
sass(g1693
g17918
VListQ
p18981
L0L
tp18982
(dp18983
g6
VListQ[{1, 2, 3}]
p18984
sg8
(lp18985
(dp18986
g11
(lp18987
sg13
V\u005ctext{True}
p18988
sg15
L1L
sass(g1693
g17918
g18981
L1L
tp18989
(dp18990
g6
VListQ[{{1, 2}, {3, 4}}]
p18991
sg8
(lp18992
(dp18993
g11
(lp18994
sg13
V\u005ctext{True}
p18995
sg15
L2L
sass(g1693
g17918
g18981
L2L
tp18996
(dp18997
g6
VListQ[x]
p18998
sg8
(lp18999
(dp19000
g11
(lp19001
sg13
V\u005ctext{False}
p19002
sg15
L3L
sass(g1693
g17918
VMean
p19003
L0L
tp19004
(dp19005
g6
VMean[{26, 64, 36}]
p19006
sg8
(lp19007
(dp19008
g11
(lp19009
sg13
V42
p19010
sg15
L1L
sass(g1693
g17918
g19003
L1L
tp19011
(dp19012
g6
VMean[{1, 1, 2, 3, 5, 8}]
p19013
sg8
(lp19014
(dp19015
g11
(lp19016
sg13
V\u005cfrac{10}{3}
p19017
sg15
L2L
sass(g1693
g17918
g19003
L2L
tp19018
(dp19019
g6
VMean[{a, b}]
p19020
sg8
(lp19021
(dp19022
g11
(lp19023
sg13
V\u005cfrac{a+b}{2}
p19024
sg15
L3L
sass(g1693
g17918
VMedian
p19025
L0L
tp19026
(dp19027
g6
VMedian[{26, 64, 36}]
p19028
sg8
(lp19029
(dp19030
g11
(lp19031
sg13
V36
p19032
sg15
L1L
sass(g1693
g17918
g19025
L1L
tp19033
(dp19034
g6
VMedian[{-11, 38, 501, 1183}]
p19035
sg8
(lp19036
(dp19037
g11
(lp19038
sg13
V\u005cfrac{539}{2}
p19039
sg15
L2L
sass(g1693
g17918
g19025
L2L
tp19040
(dp19041
g6
VMedian[{{100, 1, 10, 50}, {-1, 1, -2, 2}}]
p19042
sg8
(lp19043
(dp19044
g11
(lp19045
sg13
V\u005cleft\u005c{\u005cfrac{99}{2},1,4,26\u005cright\u005c}
p19046
sg15
L3L
sass(g1693
g17918
VMemberQ
p19047
L0L
tp19048
(dp19049
g6
VMemberQ[{a, b, c}, b]
p19050
sg8
(lp19051
(dp19052
g11
(lp19053
sg13
V\u005ctext{True}
p19054
sg15
L1L
sass(g1693
g17918
g19047
L1L
tp19055
(dp19056
g6
VMemberQ[{a, b, c}, d]
p19057
sg8
(lp19058
(dp19059
g11
(lp19060
sg13
V\u005ctext{False}
p19061
sg15
L2L
sass(g1693
g17918
g19047
L2L
tp19062
(dp19063
g6
VMemberQ[{"a", b, f[x]}, _?NumericQ]
p19064
sg8
(lp19065
(dp19066
g11
(lp19067
sg13
V\u005ctext{False}
p19068
sg15
L3L
sass(g1693
g17918
g19047
L3L
tp19069
(dp19070
g6
VMemberQ[_List][{{}}]
p19071
sg8
(lp19072
(dp19073
g11
(lp19074
sg13
V\u005ctext{True}
p19075
sg15
L4L
sass(g1693
g17918
VMost
p19076
L0L
tp19077
(dp19078
g6
VMost[{a, b, c}]
p19079
sg8
(lp19080
(dp19081
g11
(lp19082
sg13
V\u005cleft\u005c{a,b\u005cright\u005c}
p19083
sg15
L1L
sass(g1693
g17918
g19076
L1L
tp19084
(dp19085
g6
VMost[a + b + c]
p19086
sg8
(lp19087
(dp19088
g11
(lp19089
sg13
Va+b
p19090
sg15
L2L
sass(g1693
g17918
g19076
L2L
tp19091
(dp19092
g6
VMost[x]
p19093
sg8
(lp19094
(dp19095
g11
(lp19096
(dp19097
g149
I01
sg150
VMost
p19098
sg152
g10997
sg154
VMost::normal
p19099
sg156
g10999
sasg13
V\u005ctext{Most}\u005cleft[x\u005cright]
p19100
sg15
L3L
sass(g1693
g17918
VNearest
p19101
L0L
tp19102
(dp19103
g6
VNearest[{5, 2.5, 10, 11, 15, 8.5, 14}, 12]
p19104
sg8
(lp19105
(dp19106
g11
(lp19107
sg13
V\u005cleft\u005c{11\u005cright\u005c}
p19108
sg15
L1L
sass(g1693
g17918
g19101
L1L
tp19109
(dp19110
g6
VNearest[{5, 2.5, 10, 11, 15, 8.5, 14}, 12, {All, 5}]
p19111
sg8
(lp19112
(dp19113
g11
(lp19114
sg13
V\u005cleft\u005c{11,10,14\u005cright\u005c}
p19115
sg15
L2L
sass(g1693
g17918
g19101
L2L
tp19116
(dp19117
g6
VNearest[{Blue -> "blue", White -> "white", Red -> "red", Green -> "green"}, {Orange, Gray}]
p19118
sg8
(lp19119
(dp19120
g11
(lp19121
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{red}\u005cright\u005c},\u005cleft\u005c{\u005ctext{white}\u005cright\u005c}\u005cright\u005c}
p19122
sg15
L3L
sass(g1693
g17918
g19101
L3L
tp19123
(dp19124
g6
VNearest[{{0, 1}, {1, 2}, {2, 3}} -> {a, b, c}, {1.1, 2}]
p19125
sg8
(lp19126
(dp19127
g11
(lp19128
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p19129
sg15
L4L
sass(g1693
g17918
VPadLeft
p19130
L0L
tp19131
(dp19132
g6
VPadLeft[{1, 2, 3}, 5]
p19133
sg8
(lp19134
(dp19135
g11
(lp19136
sg13
V\u005cleft\u005c{0,0,1,2,3\u005cright\u005c}
p19137
sg15
L1L
sass(g1693
g17918
g19130
L1L
tp19138
(dp19139
g6
VPadLeft[x[a, b, c], 5]
p19140
sg8
(lp19141
(dp19142
g11
(lp19143
sg13
Vx\u005cleft[0,0,a,b,c\u005cright]
p19144
sg15
L2L
sass(g1693
g17918
g19130
L2L
tp19145
(dp19146
g6
VPadLeft[{1, 2, 3}, 2]
p19147
sg8
(lp19148
(dp19149
g11
(lp19150
sg13
V\u005cleft\u005c{2,3\u005cright\u005c}
p19151
sg15
L3L
sass(g1693
g17918
g19130
L3L
tp19152
(dp19153
g6
VPadLeft[{{}, {1, 2}, {1, 2, 3}}]
p19154
sg8
(lp19155
(dp19156
g11
(lp19157
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}
p19158
sg15
L4L
sass(g1693
g17918
g19130
L4L
tp19159
(dp19160
g6
VPadLeft[{1, 2, 3}, 10, {a, b, c}, 2]
p19161
sg8
(lp19162
(dp19163
g11
(lp19164
sg13
V\u005cleft\u005c{b,c,a,b,c,1,2,3,a,b\u005cright\u005c}
p19165
sg15
L5L
sass(g1693
g17918
g19130
L5L
tp19166
(dp19167
g6
VPadLeft[{{1, 2, 3}}, {5, 2}, x, 1]
p19168
sg8
(lp19169
(dp19170
g11
(lp19171
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}
p19172
sg15
L6L
sass(g1693
g17918
VPadRight
p19173
L0L
tp19174
(dp19175
g6
VPadRight[{1, 2, 3}, 5]
p19176
sg8
(lp19177
(dp19178
g11
(lp19179
sg13
V\u005cleft\u005c{1,2,3,0,0\u005cright\u005c}
p19180
sg15
L1L
sass(g1693
g17918
g19173
L1L
tp19181
(dp19182
g6
VPadRight[x[a, b, c], 5]
p19183
sg8
(lp19184
(dp19185
g11
(lp19186
sg13
Vx\u005cleft[a,b,c,0,0\u005cright]
p19187
sg15
L2L
sass(g1693
g17918
g19173
L2L
tp19188
(dp19189
g6
VPadRight[{1, 2, 3}, 2]
p19190
sg8
(lp19191
(dp19192
g11
(lp19193
sg13
V\u005cleft\u005c{1,2\u005cright\u005c}
p19194
sg15
L3L
sass(g1693
g17918
g19173
L3L
tp19195
(dp19196
g6
VPadRight[{{}, {1, 2}, {1, 2, 3}}]
p19197
sg8
(lp19198
(dp19199
g11
(lp19200
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}
p19201
sg15
L4L
sass(g1693
g17918
g19173
L4L
tp19202
(dp19203
g6
VPadRight[{1, 2, 3}, 10, {a, b, c}, 2]
p19204
sg8
(lp19205
(dp19206
g11
(lp19207
sg13
V\u005cleft\u005c{b,c,1,2,3,a,b,c,a,b\u005cright\u005c}
p19208
sg15
L5L
sass(g1693
g17918
g19173
L5L
tp19209
(dp19210
g6
VPadRight[{{1, 2, 3}}, {5, 2}, x, 1]
p19211
sg8
(lp19212
(dp19213
g11
(lp19214
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}
p19215
sg15
L6L
sass(g1693
g17918
VPart
p19216
L0L
tp19217
(dp19218
g6
VA = {a, b, c, d};
p19219
sg8
(lp19220
(dp19221
g11
(lp19222
sg13
Nsg15
L1L
sass(g1693
g17918
g19216
L1L
tp19223
(dp19224
g6
VA[[3]]
p19225
sg8
(lp19226
(dp19227
g11
(lp19228
sg13
g444
sg15
L2L
sass(g1693
g17918
g19216
L2L
tp19229
(dp19230
g6
V{a, b, c}[[-2]]
p19231
sg8
(lp19232
(dp19233
g11
(lp19234
sg13
g261
sg15
L3L
sass(g1693
g17918
g19216
L3L
tp19235
(dp19236
g6
V(a + b + c)[[2]]
p19237
sg8
(lp19238
(dp19239
g11
(lp19240
sg13
g261
sg15
L4L
sass(g1693
g17918
g19216
L4L
tp19241
(dp19242
g6
V(a + b + c)[[0]]
p19243
sg8
(lp19244
(dp19245
g11
(lp19246
sg13
V\u005ctext{Plus}
p19247
sg15
L5L
sass(g1693
g17918
g19216
L5L
tp19248
(dp19249
g6
VM = {{a, b}, {c, d}};
p19250
sg8
(lp19251
(dp19252
g11
(lp19253
sg13
Nsg15
L6L
sass(g1693
g17918
g19216
L6L
tp19254
(dp19255
g6
VM[[1, 2]]
p19256
sg8
(lp19257
(dp19258
g11
(lp19259
sg13
g261
sg15
L7L
sass(g1693
g17918
g19216
L7L
tp19260
(dp19261
g6
V{1, 2, 3, 4}[[2;;4]]
p19262
sg8
(lp19263
(dp19264
g11
(lp19265
sg13
V\u005cleft\u005c{2,3,4\u005cright\u005c}
p19266
sg15
L8L
sass(g1693
g17918
g19216
L8L
tp19267
(dp19268
g6
V{1, 2, 3, 4}[[2;;-1]]
p19269
sg8
(lp19270
(dp19271
g11
(lp19272
sg13
V\u005cleft\u005c{2,3,4\u005cright\u005c}
p19273
sg15
L9L
sass(g1693
g17918
g19216
L9L
tp19274
(dp19275
g6
V{a, b, c, d}[[{1, 3, 3}]]
p19276
sg8
(lp19277
(dp19278
g11
(lp19279
sg13
V\u005cleft\u005c{a,c,c\u005cright\u005c}
p19280
sg15
L10L
sass(g1693
g17918
g19216
L10L
tp19281
(dp19282
g6
VB = {{a, b, c}, {d, e, f}, {g, h, i}};
p19283
sg8
(lp19284
(dp19285
g11
(lp19286
sg13
Nsg15
L11L
sass(g1693
g17918
g19216
L11L
tp19287
(dp19288
g6
VB[[;;, 2]]
p19289
sg8
(lp19290
(dp19291
g11
(lp19292
sg13
V\u005cleft\u005c{b,e,h\u005cright\u005c}
p19293
sg15
L12L
sass(g1693
g17918
g19216
L12L
tp19294
(dp19295
g6
VB = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
p19296
sg8
(lp19297
(dp19298
g11
(lp19299
sg13
Nsg15
L13L
sass(g1693
g17918
g19216
L13L
tp19300
(dp19301
g6
VB[[{1, 3}, -2;;-1]]
p19302
sg8
(lp19303
(dp19304
g11
(lp19305
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,3\u005cright\u005c},\u005cleft\u005c{8,9\u005cright\u005c}\u005cright\u005c}
p19306
sg15
L14L
sass(g1693
g17918
g19216
L14L
tp19307
(dp19308
g6
V(a+b+c+d)[[-1;;-2]]
p19309
sg8
(lp19310
(dp19311
g11
(lp19312
sg13
V0
p19313
sg15
L15L
sass(g1693
g17918
g19216
L15L
tp19314
(dp19315
g6
Vx[[2]]
p19316
sg8
(lp19317
(dp19318
g11
(lp19319
(dp19320
g149
I01
sg150
VPart
p19321
sg152
Vpartd
p19322
sg154
VPart::partd
p19323
sg156
VPart specification is longer than depth of object.
p19324
sasg13
Vx\u005cleft[\u005cleft[2\u005cright]\u005cright]
p19325
sg15
L16L
sass(g1693
g17918
g19216
L16L
tp19326
(dp19327
g6
VB[[;;, 2]] = {10, 11, 12}
p19328
sg8
(lp19329
(dp19330
g11
(lp19331
sg13
V\u005cleft\u005c{10,11,12\u005cright\u005c}
p19332
sg15
L17L
sass(g1693
g17918
g19216
L17L
tp19333
(dp19334
g6
g10650
sg8
(lp19335
(dp19336
g11
(lp19337
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}
p19338
sg15
L18L
sass(g1693
g17918
g19216
L18L
tp19339
(dp19340
g6
VB[[;;, 3]] = 13
p19341
sg8
(lp19342
(dp19343
g11
(lp19344
sg13
V13
p19345
sg15
L19L
sass(g1693
g17918
g19216
L19L
tp19346
(dp19347
g6
g10650
sg8
(lp19348
(dp19349
g11
(lp19350
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}
p19351
sg15
L20L
sass(g1693
g17918
g19216
L20L
tp19352
(dp19353
g6
VB[[1;;-2]] = t;
p19354
sg8
(lp19355
(dp19356
g11
(lp19357
sg13
Nsg15
L21L
sass(g1693
g17918
g19216
L21L
tp19358
(dp19359
g6
g10650
sg8
(lp19360
(dp19361
g11
(lp19362
sg13
V\u005cleft\u005c{t,t,\u005cleft\u005c{7,12,13\u005cright\u005c}\u005cright\u005c}
p19363
sg15
L22L
sass(g1693
g17918
g19216
L22L
tp19364
(dp19365
g6
VF = Table[i*j*k, {i, 1, 3}, {j, 1, 3}, {k, 1, 3}];
p19366
sg8
(lp19367
(dp19368
g11
(lp19369
sg13
Nsg15
L23L
sass(g1693
g17918
g19216
L23L
tp19370
(dp19371
g6
VF[[;; All, 2 ;; 3, 2]] = t;
p19372
sg8
(lp19373
(dp19374
g11
(lp19375
sg13
Nsg15
L24L
sass(g1693
g17918
g19216
L24L
tp19376
(dp19377
g6
VF
p19378
sg8
(lp19379
(dp19380
g11
(lp19381
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}
p19382
sg15
L25L
sass(g1693
g17918
g19216
L25L
tp19383
(dp19384
g6
VF[[;; All, 1 ;; 2, 3 ;; 3]] = k;
p19385
sg8
(lp19386
(dp19387
g11
(lp19388
sg13
Nsg15
L26L
sass(g1693
g17918
g19216
L26L
tp19389
(dp19390
g6
g19378
sg8
(lp19391
(dp19392
g11
(lp19393
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}
p19394
sg15
L27L
sass(g1693
g17918
g19216
L27L
tp19395
(dp19396
g6
VA[[1]] + B[[2]] + C[[3]] // Hold // FullForm
p19397
sg8
(lp19398
(dp19399
g11
(lp19400
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]
p19401
sg15
L28L
sass(g1693
g17918
VPartition
p19402
L0L
tp19403
(dp19404
g6
VPartition[{a, b, c, d, e, f}, 2]
p19405
sg8
(lp19406
(dp19407
g11
(lp19408
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{c,d\u005cright\u005c},\u005cleft\u005c{e,f\u005cright\u005c}\u005cright\u005c}
p19409
sg15
L1L
sass(g1693
g17918
g19402
L1L
tp19410
(dp19411
g6
VPartition[{a, b, c, d, e, f}, 3, 1]
p19412
sg8
(lp19413
(dp19414
g11
(lp19415
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}
p19416
sg15
L2L
sass(g1693
g17918
VPermutations
p19417
L0L
tp19418
(dp19419
g6
VPermutations[{y, 1, x}]
p19420
sg8
(lp19421
(dp19422
g11
(lp19423
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}
p19424
sg15
L1L
sass(g1693
g17918
g19417
L1L
tp19425
(dp19426
g6
VPermutations[{a, b, b}]
p19427
sg8
(lp19428
(dp19429
g11
(lp19430
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}
p19431
sg15
L2L
sass(g1693
g17918
g19417
L2L
tp19432
(dp19433
g6
VPermutations[{1, 2, 3}, 2]
p19434
sg8
(lp19435
(dp19436
g11
(lp19437
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}
p19438
sg15
L3L
sass(g1693
g17918
g19417
L3L
tp19439
(dp19440
g6
VPermutations[{1, 2, 3}, {2}]
p19441
sg8
(lp19442
(dp19443
g11
(lp19444
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}
p19445
sg15
L4L
sass(g1693
g17918
VPick
p19446
L0L
tp19447
(dp19448
g6
VPick[{a, b, c}, {False, True, False}]
p19449
sg8
(lp19450
(dp19451
g11
(lp19452
sg13
V\u005cleft\u005c{b\u005cright\u005c}
p19453
sg15
L1L
sass(g1693
g17918
g19446
L1L
tp19454
(dp19455
g6
VPick[f[g[1, 2], h[3, 4]], {{True, False}, {False, True}}]
p19456
sg8
(lp19457
(dp19458
g11
(lp19459
sg13
Vf\u005cleft[g\u005cleft[1\u005cright],h\u005cleft[4\u005cright]\u005cright]
p19460
sg15
L2L
sass(g1693
g17918
g19446
L2L
tp19461
(dp19462
g6
VPick[{a, b, c, d, e}, {1, 2, 3.5, 4, 5.5}, _Integer]
p19463
sg8
(lp19464
(dp19465
g11
(lp19466
sg13
V\u005cleft\u005c{a,b,d\u005cright\u005c}
p19467
sg15
L3L
sass(g1693
g17918
VPosition
p19468
L0L
tp19469
(dp19470
g6
VPosition[{1, 2, 2, 1, 2, 3, 2}, 2]
p19471
sg8
(lp19472
(dp19473
g11
(lp19474
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}
p19475
sg15
L1L
sass(g1693
g17918
g19468
L1L
tp19476
(dp19477
g6
VPosition[{1 + Sin[x], x, (Tan[x] - y)^2}, x, 3]
p19478
sg8
(lp19479
(dp19480
g11
(lp19481
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2,1\u005cright\u005c},\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c}
p19482
sg15
L2L
sass(g1693
g17918
g19468
L2L
tp19483
(dp19484
g6
VPosition[{1 + x^2, x y ^ 2,  4 y,  x ^ z}, x^_]
p19485
sg8
(lp19486
(dp19487
g11
(lp19488
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,2\u005cright\u005c},\u005cleft\u005c{4\u005cright\u005c}\u005cright\u005c}
p19489
sg15
L3L
sass(g1693
g17918
g19468
L3L
tp19490
(dp19491
g6
VPosition[_Integer][{1.5, 2, 2.5}]
p19492
sg8
(lp19493
(dp19494
g11
(lp19495
sg13
V\u005cleft\u005c{\u005cleft\u005c{2\u005cright\u005c}\u005cright\u005c}
p19496
sg15
L4L
sass(g1693
g17918
VPrepend
p19497
L0L
tp19498
(dp19499
g6
VPrepend[{2, 3, 4}, 1]
p19500
sg8
(lp19501
(dp19502
g11
(lp19503
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p19504
sg15
L1L
sass(g1693
g17918
g19497
L1L
tp19505
(dp19506
g6
VPrepend[f[b, c], a]
p19507
sg8
(lp19508
(dp19509
g11
(lp19510
sg13
Vf\u005cleft[a,b,c\u005cright]
p19511
sg15
L2L
sass(g1693
g17918
g19497
L2L
tp19512
(dp19513
g6
VPrepend[{c, d}, {a, b}]
p19514
sg8
(lp19515
(dp19516
g11
(lp19517
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},c,d\u005cright\u005c}
p19518
sg15
L3L
sass(g1693
g17918
VPrependTo
p19519
L0L
tp19520
(dp19521
g6
Vs = {1, 2, 4, 9}
p19522
sg8
(lp19523
(dp19524
g11
(lp19525
sg13
V\u005cleft\u005c{1,2,4,9\u005cright\u005c}
p19526
sg15
L1L
sass(g1693
g17918
g19519
L1L
tp19527
(dp19528
g6
VPrependTo[s, 0]
p19529
sg8
(lp19530
(dp19531
g11
(lp19532
sg13
V\u005cleft\u005c{0,1,2,4,9\u005cright\u005c}
p19533
sg15
L2L
sass(g1693
g17918
g19519
L2L
tp19534
(dp19535
g6
g9712
sg8
(lp19536
(dp19537
g11
(lp19538
sg13
V\u005cleft\u005c{0,1,2,4,9\u005cright\u005c}
p19539
sg15
L3L
sass(g1693
g17918
g19519
L3L
tp19540
(dp19541
g6
Vy = f[a, b, c];
p19542
sg8
(lp19543
(dp19544
g11
(lp19545
sg13
Nsg15
L4L
sass(g1693
g17918
g19519
L4L
tp19546
(dp19547
g6
VPrependTo[y, x]
p19548
sg8
(lp19549
(dp19550
g11
(lp19551
sg13
Vf\u005cleft[x,a,b,c\u005cright]
p19552
sg15
L5L
sass(g1693
g17918
g19519
L5L
tp19553
(dp19554
g6
g2052
sg8
(lp19555
(dp19556
g11
(lp19557
sg13
Vf\u005cleft[x,a,b,c\u005cright]
p19558
sg15
L6L
sass(g1693
g17918
VQuantile
p19559
L0L
tp19560
(dp19561
g6
VQuantile[Range[11], 1/3]
p19562
sg8
(lp19563
(dp19564
g11
(lp19565
sg13
V4
p19566
sg15
L1L
sass(g1693
g17918
g19559
L1L
tp19567
(dp19568
g6
VQuantile[Range[16], 1/4]
p19569
sg8
(lp19570
(dp19571
g11
(lp19572
sg13
V5
p19573
sg15
L2L
sass(g1693
g17918
VQuartiles
p19574
L0L
tp19575
(dp19576
g6
VQuartiles[Range[25]]
p19577
sg8
(lp19578
(dp19579
g11
(lp19580
sg13
V\u005cleft\u005c{\u005cfrac{27}{4},13,\u005cfrac{77}{4}\u005cright\u005c}
p19581
sg15
L1L
sass(g1693
g17918
VRange
p19582
L0L
tp19583
(dp19584
g6
VRange[5]
p19585
sg8
(lp19586
(dp19587
g11
(lp19588
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p19589
sg15
L1L
sass(g1693
g17918
g19582
L1L
tp19590
(dp19591
g6
VRange[-3, 2]
p19592
sg8
(lp19593
(dp19594
g11
(lp19595
sg13
V\u005cleft\u005c{-3,-2,-1,0,1,2\u005cright\u005c}
p19596
sg15
L2L
sass(g1693
g17918
g19582
L2L
tp19597
(dp19598
g6
VRange[0, 2, 1/3]
p19599
sg8
(lp19600
(dp19601
g11
(lp19602
sg13
V\u005cleft\u005c{0,\u005cfrac{1}{3},\u005cfrac{2}{3},1,\u005cfrac{4}{3},\u005cfrac{5}{3},2\u005cright\u005c}
p19603
sg15
L3L
sass(g1693
g17918
VRankedMax
p19604
L0L
tp19605
(dp19606
g6
VRankedMax[{482, 17, 181, -12}, 2]
p19607
sg8
(lp19608
(dp19609
g11
(lp19610
sg13
V181
p19611
sg15
L1L
sass(g1693
g17918
VRankedMin
p19612
L0L
tp19613
(dp19614
g6
VRankedMin[{482, 17, 181, -12}, 2]
p19615
sg8
(lp19616
(dp19617
g11
(lp19618
sg13
V17
p19619
sg15
L1L
sass(g1693
g17918
VReap
p19620
L0L
tp19621
(dp19622
g6
VReap[Sow[3]; Sow[1]]
p19623
sg8
(lp19624
(dp19625
g11
(lp19626
sg13
V\u005cleft\u005c{1,\u005cleft\u005c{\u005cleft\u005c{3,1\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p19627
sg15
L1L
sass(g1693
g17918
g19620
L1L
tp19628
(dp19629
g6
VReap[Sow[2, {x, x, x}]; Sow[3, x]; Sow[4, y]; Sow[4, 1], {_Symbol, _Integer, x}, f]
p19630
sg8
(lp19631
(dp19632
g11
(lp19633
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}
p19634
sg15
L2L
sass(g1693
g17918
g19620
L2L
tp19635
(dp19636
g6
VReap[Sow[Null, {a, a, b, d, c, a}], _, # &][[2]]
p19637
sg8
(lp19638
(dp19639
g11
(lp19640
sg13
V\u005cleft\u005c{a,b,d,c\u005cright\u005c}
p19641
sg15
L3L
sass(g1693
g17918
g19620
L3L
tp19642
(dp19643
g6
VReap[Reap[Sow[a, x]; Sow[b, 1], _Symbol, Print["Inner: ", #1]&];, _, f]
p19644
sg8
(lp19645
(dp19646
g11
(lp19647
(dp19648
g149
I00
sg156
VInner: x
p19649
sasg13
V\u005cleft\u005c{\u005ctext{Null},\u005cleft\u005c{f\u005cleft[1,\u005cleft\u005c{b\u005cright\u005c}\u005cright]\u005cright\u005c}\u005cright\u005c}
p19650
sg15
L4L
sass(g1693
g17918
g19620
L4L
tp19651
(dp19652
g6
VReap[x]
p19653
sg8
(lp19654
(dp19655
g11
(lp19656
sg13
V\u005cleft\u005c{x,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p19657
sg15
L5L
sass(g1693
g17918
VReplacePart
p19658
L0L
tp19659
(dp19660
g6
VReplacePart[{a, b, c}, 1 -> t]
p19661
sg8
(lp19662
(dp19663
g11
(lp19664
sg13
V\u005cleft\u005c{t,b,c\u005cright\u005c}
p19665
sg15
L1L
sass(g1693
g17918
g19658
L1L
tp19666
(dp19667
g6
VReplacePart[{{a, b}, {c, d}}, {2, 1} -> t]
p19668
sg8
(lp19669
(dp19670
g11
(lp19671
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{t,d\u005cright\u005c}\u005cright\u005c}
p19672
sg15
L2L
sass(g1693
g17918
g19658
L2L
tp19673
(dp19674
g6
VReplacePart[{{a, b}, {c, d}}, {{2, 1} -> t, {1, 1} -> t}]
p19675
sg8
(lp19676
(dp19677
g11
(lp19678
sg13
V\u005cleft\u005c{\u005cleft\u005c{t,b\u005cright\u005c},\u005cleft\u005c{t,d\u005cright\u005c}\u005cright\u005c}
p19679
sg15
L3L
sass(g1693
g17918
g19658
L3L
tp19680
(dp19681
g6
VReplacePart[{a, b, c}, {{1}, {2}} -> t]
p19682
sg8
(lp19683
(dp19684
g11
(lp19685
sg13
V\u005cleft\u005c{t,t,c\u005cright\u005c}
p19686
sg15
L4L
sass(g1693
g17918
g19658
L4L
tp19687
(dp19688
g6
Vn = 1;
p19689
sg8
(lp19690
(dp19691
g11
(lp19692
sg13
Nsg15
L5L
sass(g1693
g17918
g19658
L5L
tp19693
(dp19694
g6
VReplacePart[{a, b, c, d}, {{1}, {3}} :> n++]
p19695
sg8
(lp19696
(dp19697
g11
(lp19698
sg13
V\u005cleft\u005c{1,b,2,d\u005cright\u005c}
p19699
sg15
L6L
sass(g1693
g17918
g19658
L6L
tp19700
(dp19701
g6
VReplacePart[{a, b, c}, 4 -> t]
p19702
sg8
(lp19703
(dp19704
g11
(lp19705
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p19706
sg15
L7L
sass(g1693
g17918
g19658
L7L
tp19707
(dp19708
g6
VReplacePart[{a, b, c}, 0 -> Times]
p19709
sg8
(lp19710
(dp19711
g11
(lp19712
sg13
Va b c
p19713
sg15
L8L
sass(g1693
g17918
g19658
L8L
tp19714
(dp19715
g6
VReplacePart[{a, b, c}, -1 -> t]
p19716
sg8
(lp19717
(dp19718
g11
(lp19719
sg13
V\u005cleft\u005c{a,b,t\u005cright\u005c}
p19720
sg15
L9L
sass(g1693
g17918
VRest
p19721
L0L
tp19722
(dp19723
g6
VRest[{a, b, c}]
p19724
sg8
(lp19725
(dp19726
g11
(lp19727
sg13
V\u005cleft\u005c{b,c\u005cright\u005c}
p19728
sg15
L1L
sass(g1693
g17918
g19721
L1L
tp19729
(dp19730
g6
VRest[a + b + c]
p19731
sg8
(lp19732
(dp19733
g11
(lp19734
sg13
Vb+c
p19735
sg15
L2L
sass(g1693
g17918
g19721
L2L
tp19736
(dp19737
g6
VRest[x]
p19738
sg8
(lp19739
(dp19740
g11
(lp19741
(dp19742
g149
I01
sg150
VRest
p19743
sg152
g10997
sg154
VRest::normal
p19744
sg156
g10999
sasg13
V\u005ctext{Rest}\u005cleft[x\u005cright]
p19745
sg15
L3L
sass(g1693
g17918
VReverse
p19746
L0L
tp19747
(dp19748
g6
VReverse[{1, 2, 3}]
p19749
sg8
(lp19750
(dp19751
g11
(lp19752
sg13
V\u005cleft\u005c{3,2,1\u005cright\u005c}
p19753
sg15
L1L
sass(g1693
g17918
g19746
L1L
tp19754
(dp19755
g6
VReverse[x[a, b, c]]
p19756
sg8
(lp19757
(dp19758
g11
(lp19759
sg13
Vx\u005cleft[c,b,a\u005cright]
p19760
sg15
L2L
sass(g1693
g17918
g19746
L2L
tp19761
(dp19762
g6
VReverse[{{1, 2}, {3, 4}}, 1]
p19763
sg8
(lp19764
(dp19765
g11
(lp19766
sg13
V\u005cleft\u005c{\u005cleft\u005c{3,4\u005cright\u005c},\u005cleft\u005c{1,2\u005cright\u005c}\u005cright\u005c}
p19767
sg15
L3L
sass(g1693
g17918
g19746
L3L
tp19768
(dp19769
g6
VReverse[{{1, 2}, {3, 4}}, 2]
p19770
sg8
(lp19771
(dp19772
g11
(lp19773
sg13
V\u005cleft\u005c{\u005cleft\u005c{2,1\u005cright\u005c},\u005cleft\u005c{4,3\u005cright\u005c}\u005cright\u005c}
p19774
sg15
L4L
sass(g1693
g17918
g19746
L4L
tp19775
(dp19776
g6
VReverse[{{1, 2}, {3, 4}}, {1, 2}]
p19777
sg8
(lp19778
(dp19779
g11
(lp19780
sg13
V\u005cleft\u005c{\u005cleft\u005c{4,3\u005cright\u005c},\u005cleft\u005c{2,1\u005cright\u005c}\u005cright\u005c}
p19781
sg15
L5L
sass(g1693
g17918
VRiffle
p19782
L0L
tp19783
(dp19784
g6
VRiffle[{a, b, c}, x]
p19785
sg8
(lp19786
(dp19787
g11
(lp19788
sg13
V\u005cleft\u005c{a,x,b,x,c\u005cright\u005c}
p19789
sg15
L1L
sass(g1693
g17918
g19782
L1L
tp19790
(dp19791
g6
VRiffle[{a, b, c}, {x, y, z}]
p19792
sg8
(lp19793
(dp19794
g11
(lp19795
sg13
V\u005cleft\u005c{a,x,b,y,c,z\u005cright\u005c}
p19796
sg15
L2L
sass(g1693
g17918
g19782
L2L
tp19797
(dp19798
g6
VRiffle[{a, b, c, d, e, f}, {x, y, z}]
p19799
sg8
(lp19800
(dp19801
g11
(lp19802
sg13
V\u005cleft\u005c{a,x,b,y,c,z,d,x,e,y,f\u005cright\u005c}
p19803
sg15
L3L
sass(g1693
g17918
VRotateLeft
p19804
L0L
tp19805
(dp19806
g6
VRotateLeft[{1, 2, 3}]
p19807
sg8
(lp19808
(dp19809
g11
(lp19810
sg13
V\u005cleft\u005c{2,3,1\u005cright\u005c}
p19811
sg15
L1L
sass(g1693
g17918
g19804
L1L
tp19812
(dp19813
g6
VRotateLeft[Range[10], 3]
p19814
sg8
(lp19815
(dp19816
g11
(lp19817
sg13
V\u005cleft\u005c{4,5,6,7,8,9,10,1,2,3\u005cright\u005c}
p19818
sg15
L2L
sass(g1693
g17918
g19804
L2L
tp19819
(dp19820
g6
VRotateLeft[x[a, b, c], 2]
p19821
sg8
(lp19822
(dp19823
g11
(lp19824
sg13
Vx\u005cleft[c,a,b\u005cright]
p19825
sg15
L3L
sass(g1693
g17918
g19804
L3L
tp19826
(dp19827
g6
VRotateLeft[{{a, b, c}, {d, e, f}, {g, h, i}}, {1, 2}]
p19828
sg8
(lp19829
(dp19830
g11
(lp19831
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}
p19832
sg15
L4L
sass(g1693
g17918
VRotateRight
p19833
L0L
tp19834
(dp19835
g6
VRotateRight[{1, 2, 3}]
p19836
sg8
(lp19837
(dp19838
g11
(lp19839
sg13
V\u005cleft\u005c{3,1,2\u005cright\u005c}
p19840
sg15
L1L
sass(g1693
g17918
g19833
L1L
tp19841
(dp19842
g6
VRotateRight[Range[10], 3]
p19843
sg8
(lp19844
(dp19845
g11
(lp19846
sg13
V\u005cleft\u005c{8,9,10,1,2,3,4,5,6,7\u005cright\u005c}
p19847
sg15
L2L
sass(g1693
g17918
g19833
L2L
tp19848
(dp19849
g6
VRotateRight[x[a, b, c], 2]
p19850
sg8
(lp19851
(dp19852
g11
(lp19853
sg13
Vx\u005cleft[b,c,a\u005cright]
p19854
sg15
L3L
sass(g1693
g17918
g19833
L3L
tp19855
(dp19856
g6
VRotateRight[{{a, b, c}, {d, e, f}, {g, h, i}}, {1, 2}]
p19857
sg8
(lp19858
(dp19859
g11
(lp19860
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}
p19861
sg15
L4L
sass(g1693
g17918
VSelect
p19862
L0L
tp19863
(dp19864
g6
VSelect[{-3, 0, 1, 3, a}, #>0&]
p19865
sg8
(lp19866
(dp19867
g11
(lp19868
sg13
V\u005cleft\u005c{1,3\u005cright\u005c}
p19869
sg15
L1L
sass(g1693
g17918
g19862
L1L
tp19870
(dp19871
g6
VSelect[f[a, 2, 3], NumberQ]
p19872
sg8
(lp19873
(dp19874
g11
(lp19875
sg13
Vf\u005cleft[2,3\u005cright]
p19876
sg15
L2L
sass(g1693
g17918
g19862
L2L
tp19877
(dp19878
g6
VSelect[a, True]
p19879
sg8
(lp19880
(dp19881
g11
(lp19882
(dp19883
g149
I01
sg150
VSelect
p19884
sg152
g10997
sg154
VSelect::normal
p19885
sg156
g10999
sasg13
V\u005ctext{Select}\u005cleft[a,\u005ctext{True}\u005cright]
p19886
sg15
L3L
sass(g1693
g17918
VSkewness
p19887
L0L
tp19888
(dp19889
g6
VSkewness[{1.1, 1.2, 1.4, 2.1, 2.4}]
p19890
sg8
(lp19891
(dp19892
g11
(lp19893
sg13
V0.407041
p19894
sg15
L1L
sass(g1693
g17918
VSpan
p19895
L0L
tp19896
(dp19897
g6
V;; // FullForm
p19898
sg8
(lp19899
(dp19900
g11
(lp19901
sg13
V\u005ctext{Span}\u005cleft[1, \u005ctext{All}\u005cright]
p19902
sg15
L1L
sass(g1693
g17918
g19895
L1L
tp19903
(dp19904
g6
V1;;4;;2 // FullForm
p19905
sg8
(lp19906
(dp19907
g11
(lp19908
sg13
V\u005ctext{Span}\u005cleft[1, 4, 2\u005cright]
p19909
sg15
L2L
sass(g1693
g17918
g19895
L2L
tp19910
(dp19911
g6
V2;;-2 // FullForm
p19912
sg8
(lp19913
(dp19914
g11
(lp19915
sg13
V\u005ctext{Span}\u005cleft[2, -2\u005cright]
p19916
sg15
L3L
sass(g1693
g17918
g19895
L3L
tp19917
(dp19918
g6
V;;3 // FullForm
p19919
sg8
(lp19920
(dp19921
g11
(lp19922
sg13
V\u005ctext{Span}\u005cleft[1, 3\u005cright]
p19923
sg15
L4L
sass(g1693
g17918
VSplit
p19924
L0L
tp19925
(dp19926
g6
VSplit[{x, x, x, y, x, y, y, z}]
p19927
sg8
(lp19928
(dp19929
g11
(lp19930
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}
p19931
sg15
L1L
sass(g1693
g17918
g19924
L2L
tp19932
(dp19933
g6
VSplit[{1, 5, 6, 3, 6, 1, 6, 3, 4, 5, 4}, Less]
p19934
sg8
(lp19935
(dp19936
g11
(lp19937
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}
p19938
sg15
L2L
sass(g1693
g17918
g19924
L3L
tp19939
(dp19940
g6
VSplit[{1, 5, 6, 3, 6, 1, 6, 3, 4, 5, 4}, Greater]
p19941
sg8
(lp19942
(dp19943
g11
(lp19944
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}
p19945
sg15
L3L
sass(g1693
g17918
g19924
L4L
tp19946
(dp19947
g6
VSplit[{x -> a, x -> y, 2 -> a, z -> c, z -> a}, First[#1] === First[#2] &]
p19948
sg8
(lp19949
(dp19950
g11
(lp19951
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}
p19952
sg15
L4L
sass(g1693
g17918
VSplitBy
p19953
L0L
tp19954
(dp19955
g6
VSplitBy[Range[1, 3, 1/3], Round]
p19956
sg8
(lp19957
(dp19958
g11
(lp19959
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}
p19960
sg15
L1L
sass(g1693
g17918
g19953
L1L
tp19961
(dp19962
g6
VSplitBy[{1, 2, 1, 1.2}, {Round, Identity}]
p19963
sg8
(lp19964
(dp19965
g11
(lp19966
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}
p19967
sg15
L2L
sass(g1693
g17918
VStandardDeviation
p19968
L0L
tp19969
(dp19970
g6
VStandardDeviation[{1, 2, 3}]
p19971
sg8
(lp19972
(dp19973
g11
(lp19974
sg13
V1
p19975
sg15
L1L
sass(g1693
g17918
g19968
L1L
tp19976
(dp19977
g6
VStandardDeviation[{7, -5, 101, 100}]
p19978
sg8
(lp19979
(dp19980
g11
(lp19981
sg13
V\u005cfrac{\u005csqrt{13297}}{2}
p19982
sg15
L2L
sass(g1693
g17918
g19968
L2L
tp19983
(dp19984
g6
VStandardDeviation[{a, a}]
p19985
sg8
(lp19986
(dp19987
g11
(lp19988
sg13
V0
p19989
sg15
L3L
sass(g1693
g17918
g19968
L3L
tp19990
(dp19991
g6
VStandardDeviation[{{1, 10}, {-1, 20}}]
p19992
sg8
(lp19993
(dp19994
g11
(lp19995
sg13
V\u005cleft\u005c{\u005csqrt{2},5 \u005csqrt{2}\u005cright\u005c}
p19996
sg15
L4L
sass(g1693
g17918
VSubsetQ
p19997
L0L
tp19998
(dp19999
g6
VSubsetQ[{1, 2, 3}, {3, 1}]
p20000
sg8
(lp20001
(dp20002
g11
(lp20003
sg13
V\u005ctext{True}
p20004
sg15
L1L
sass(g1693
g17918
g19997
L1L
tp20005
(dp20006
g6
VSubsetQ[{}, {}]
p20007
sg8
(lp20008
(dp20009
g11
(lp20010
sg13
V\u005ctext{True}
p20011
sg15
L2L
sass(g1693
g17918
g19997
L2L
tp20012
(dp20013
g6
VSubsetQ[{1, 2, 3}, {}]
p20014
sg8
(lp20015
(dp20016
g11
(lp20017
sg13
V\u005ctext{True}
p20018
sg15
L3L
sass(g1693
g17918
g19997
L3L
tp20019
(dp20020
g6
VSubsetQ[{1, 2, 3}, {1, 2, 3}]
p20021
sg8
(lp20022
(dp20023
g11
(lp20024
sg13
V\u005ctext{True}
p20025
sg15
L4L
sass(g1693
g17918
VTable
p20026
L0L
tp20027
(dp20028
g6
VTable[x, {4}]
p20029
sg8
(lp20030
(dp20031
g11
(lp20032
sg13
V\u005cleft\u005c{x,x,x,x\u005cright\u005c}
p20033
sg15
L1L
sass(g1693
g17918
g20026
L1L
tp20034
(dp20035
g6
Vn = 0;
p20036
sg8
(lp20037
(dp20038
g11
(lp20039
sg13
Nsg15
L2L
sass(g1693
g17918
g20026
L2L
tp20040
(dp20041
g6
VTable[n = n + 1, {5}]
p20042
sg8
(lp20043
(dp20044
g11
(lp20045
sg13
V\u005cleft\u005c{1,2,3,4,5\u005cright\u005c}
p20046
sg15
L3L
sass(g1693
g17918
g20026
L3L
tp20047
(dp20048
g6
VTable[i, {i, 4}]
p20049
sg8
(lp20050
(dp20051
g11
(lp20052
sg13
V\u005cleft\u005c{1,2,3,4\u005cright\u005c}
p20053
sg15
L4L
sass(g1693
g17918
g20026
L4L
tp20054
(dp20055
g6
VTable[i, {i, 2, 5}]
p20056
sg8
(lp20057
(dp20058
g11
(lp20059
sg13
V\u005cleft\u005c{2,3,4,5\u005cright\u005c}
p20060
sg15
L5L
sass(g1693
g17918
g20026
L5L
tp20061
(dp20062
g6
VTable[i, {i, 2, 6, 2}]
p20063
sg8
(lp20064
(dp20065
g11
(lp20066
sg13
V\u005cleft\u005c{2,4,6\u005cright\u005c}
p20067
sg15
L6L
sass(g1693
g17918
g20026
L6L
tp20068
(dp20069
g6
VTable[i, {i, Pi, 2 Pi, Pi / 2}]
p20070
sg8
(lp20071
(dp20072
g11
(lp20073
sg13
V\u005cleft\u005c{\u005ctext{Pi},\u005cfrac{3 \u005ctext{Pi}}{2},2 \u005ctext{Pi}\u005cright\u005c}
p20074
sg15
L7L
sass(g1693
g17918
g20026
L7L
tp20075
(dp20076
g6
VTable[x^2, {x, {a, b, c}}]
p20077
sg8
(lp20078
(dp20079
g11
(lp20080
sg13
V\u005cleft\u005c{a^2,b^2,c^2\u005cright\u005c}
p20081
sg15
L8L
sass(g1693
g17918
g20026
L8L
tp20082
(dp20083
g6
VTable[{i, j}, {i, {a, b}}, {j, 1, 2}]
p20084
sg8
(lp20085
(dp20086
g11
(lp20087
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}
p20088
sg15
L9L
sass(g1693
g17918
VTake
p20089
L0L
tp20090
(dp20091
g6
VTake[{a, b, c, d}, 3]
p20092
sg8
(lp20093
(dp20094
g11
(lp20095
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p20096
sg15
L1L
sass(g1693
g17918
g20089
L1L
tp20097
(dp20098
g6
VTake[{a, b, c, d}, -2]
p20099
sg8
(lp20100
(dp20101
g11
(lp20102
sg13
V\u005cleft\u005c{c,d\u005cright\u005c}
p20103
sg15
L2L
sass(g1693
g17918
g20089
L2L
tp20104
(dp20105
g6
VTake[{a, b, c, d, e}, {2, -2}]
p20106
sg8
(lp20107
(dp20108
g11
(lp20109
sg13
V\u005cleft\u005c{b,c,d\u005cright\u005c}
p20110
sg15
L3L
sass(g1693
g17918
g20089
L3L
tp20111
(dp20112
g6
VA = {{a, b, c}, {d, e, f}};
p20113
sg8
(lp20114
(dp20115
g11
(lp20116
sg13
Nsg15
L4L
sass(g1693
g17918
g20089
L4L
tp20117
(dp20118
g6
VTake[A, 2, 2]
p20119
sg8
(lp20120
(dp20121
g11
(lp20122
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,b\u005cright\u005c},\u005cleft\u005c{d,e\u005cright\u005c}\u005cright\u005c}
p20123
sg15
L5L
sass(g1693
g17918
g20089
L5L
tp20124
(dp20125
g6
VTake[A, All, {2}]
p20126
sg8
(lp20127
(dp20128
g11
(lp20129
sg13
V\u005cleft\u005c{\u005cleft\u005c{b\u005cright\u005c},\u005cleft\u005c{e\u005cright\u005c}\u005cright\u005c}
p20130
sg15
L6L
sass(g1693
g17918
VTakeLargest
p20131
L0L
tp20132
(dp20133
g6
VTakeLargest[{100, -1, 50, 10}, 2]
p20134
sg8
(lp20135
(dp20136
g11
(lp20137
sg13
V\u005cleft\u005c{100,50\u005cright\u005c}
p20138
sg15
L1L
sass(g1693
g17918
g20131
L1L
tp20139
(dp20140
g6
VTakeLargest[{-8, 150, Missing[abc]}, 2]
p20141
sg8
(lp20142
(dp20143
g11
(lp20144
sg13
V\u005cleft\u005c{150,-8\u005cright\u005c}
p20145
sg15
L2L
sass(g1693
g17918
g20131
L2L
tp20146
(dp20147
g6
VTakeLargest[{-8, 150, Missing[abc]}, 2, ExcludedForms -> {}]
p20148
sg8
(lp20149
(dp20150
g11
(lp20151
sg13
V\u005cleft\u005c{\u005ctext{Missing}\u005cleft[\u005ctext{abc}\u005cright],150\u005cright\u005c}
p20152
sg15
L3L
sass(g1693
g17918
VTakeLargestBy
p20153
L0L
tp20154
(dp20155
g6
VTakeLargestBy[{{1, -1}, {10, 100}, {23, 7, 8}, {5, 1}}, Total, 2]
p20156
sg8
(lp20157
(dp20158
g11
(lp20159
sg13
V\u005cleft\u005c{\u005cleft\u005c{10,100\u005cright\u005c},\u005cleft\u005c{23,7,8\u005cright\u005c}\u005cright\u005c}
p20160
sg15
L1L
sass(g1693
g17918
g20153
L1L
tp20161
(dp20162
g6
VTakeLargestBy[{"abc", "ab", "x"}, StringLength, 1]
p20163
sg8
(lp20164
(dp20165
g11
(lp20166
sg13
V\u005cleft\u005c{\u005ctext{abc}\u005cright\u005c}
p20167
sg15
L2L
sass(g1693
g17918
VTakeSmallest
p20168
L0L
tp20169
(dp20170
g6
VTakeSmallest[{100, -1, 50, 10}, 2]
p20171
sg8
(lp20172
(dp20173
g11
(lp20174
sg13
V\u005cleft\u005c{-1,10\u005cright\u005c}
p20175
sg15
L1L
sass(g1693
g17918
VTakeSmallestBy
p20176
L0L
tp20177
(dp20178
g6
VTakeSmallestBy[{{1, -1}, {10, 100}, {23, 7, 8}, {5, 1}}, Total, 2]
p20179
sg8
(lp20180
(dp20181
g11
(lp20182
sg13
V\u005cleft\u005c{\u005cleft\u005c{1,-1\u005cright\u005c},\u005cleft\u005c{5,1\u005cright\u005c}\u005cright\u005c}
p20183
sg15
L1L
sass(g1693
g17918
g20176
L1L
tp20184
(dp20185
g6
VTakeSmallestBy[{"abc", "ab", "x"}, StringLength, 1]
p20186
sg8
(lp20187
(dp20188
g11
(lp20189
sg13
V\u005cleft\u005c{\u005ctext{x}\u005cright\u005c}
p20190
sg15
L2L
sass(g1693
g17918
VTally
p20191
L0L
tp20192
(dp20193
g6
VTally[{a, b, c, b, a}]
p20194
sg8
(lp20195
(dp20196
g11
(lp20197
sg13
V\u005cleft\u005c{\u005cleft\u005c{a,2\u005cright\u005c},\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{c,1\u005cright\u005c}\u005cright\u005c}
p20198
sg15
L1L
sass(g1693
g17918
g20191
L1L
tp20199
(dp20200
g6
VTally[{b, b, a, a, a, d, d, d, d, c}]
p20201
sg8
(lp20202
(dp20203
g11
(lp20204
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}
p20205
sg15
L2L
sass(g1693
g17918
VTotal
p20206
L0L
tp20207
(dp20208
g6
VTotal[{1, 2, 3}]
p20209
sg8
(lp20210
(dp20211
g11
(lp20212
sg13
V6
p20213
sg15
L1L
sass(g1693
g17918
g20206
L1L
tp20214
(dp20215
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}]
p20216
sg8
(lp20217
(dp20218
g11
(lp20219
sg13
V\u005cleft\u005c{12,15,18\u005cright\u005c}
p20220
sg15
L2L
sass(g1693
g17918
g20206
L2L
tp20221
(dp20222
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}, 2]
p20223
sg8
(lp20224
(dp20225
g11
(lp20226
sg13
V45
p20227
sg15
L3L
sass(g1693
g17918
g20206
L3L
tp20228
(dp20229
g6
VTotal[{{1, 2, 3}, {4, 5, 6}, {7, 8 ,9}}, {2}]
p20230
sg8
(lp20231
(dp20232
g11
(lp20233
sg13
V\u005cleft\u005c{6,15,24\u005cright\u005c}
p20234
sg15
L4L
sass(g1693
g17918
VTuples
p20235
L0L
tp20236
(dp20237
g6
VTuples[{a, b, c}, 2]
p20238
sg8
(lp20239
(dp20240
g11
(lp20241
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}
p20242
sg15
L1L
sass(g1693
g17918
g20235
L1L
tp20243
(dp20244
g6
VTuples[{}, 2]
p20245
sg8
(lp20246
(dp20247
g11
(lp20248
sg13
V\u005cleft\u005c{\u005cright\u005c}
p20249
sg15
L2L
sass(g1693
g17918
g20235
L2L
tp20250
(dp20251
g6
VTuples[{a, b, c}, 0]
p20252
sg8
(lp20253
(dp20254
g11
(lp20255
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}
p20256
sg15
L3L
sass(g1693
g17918
g20235
L3L
tp20257
(dp20258
g6
VTuples[{{a, b}, {1, 2, 3}}]
p20259
sg8
(lp20260
(dp20261
g11
(lp20262
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}
p20263
sg15
L4L
sass(g1693
g17918
g20235
L4L
tp20264
(dp20265
g6
VTuples[f[a, b, c], 2]
p20266
sg8
(lp20267
(dp20268
g11
(lp20269
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}
p20270
sg15
L5L
sass(g1693
g17918
g20235
L5L
tp20271
(dp20272
g6
VTuples[{f[a, b], g[c, d]}]
p20273
sg8
(lp20274
(dp20275
g11
(lp20276
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}
p20277
sg15
L6L
sass(g1693
g17918
VUnion
p20278
L0L
tp20279
(dp20280
g6
VUnion[{5, 1, 3, 7, 1, 8, 3}]
p20281
sg8
(lp20282
(dp20283
g11
(lp20284
sg13
V\u005cleft\u005c{1,3,5,7,8\u005cright\u005c}
p20285
sg15
L1L
sass(g1693
g17918
g20278
L1L
tp20286
(dp20287
g6
VUnion[{a, b, c}, {c, d, e}]
p20288
sg8
(lp20289
(dp20290
g11
(lp20291
sg13
V\u005cleft\u005c{a,b,c,d,e\u005cright\u005c}
p20292
sg15
L2L
sass(g1693
g17918
g20278
L2L
tp20293
(dp20294
g6
VUnion[{c, b, a}]
p20295
sg8
(lp20296
(dp20297
g11
(lp20298
sg13
V\u005cleft\u005c{a,b,c\u005cright\u005c}
p20299
sg15
L3L
sass(g1693
g17918
g20278
L3L
tp20300
(dp20301
g6
VUnion[{{a, 1}, {b, 2}}, {{c, 1}, {d, 3}}, SameTest->(SameQ[Last[#1],Last[#2]]&)]
p20302
sg8
(lp20303
(dp20304
g11
(lp20305
sg13
V\u005cleft\u005c{\u005cleft\u005c{b,2\u005cright\u005c},\u005cleft\u005c{c,1\u005cright\u005c},\u005cleft\u005c{d,3\u005cright\u005c}\u005cright\u005c}
p20306
sg15
L4L
sass(g1693
g17918
g20278
L4L
tp20307
(dp20308
g6
VUnion[{1, 2, 3}, {2, 3, 4}, SameTest->Less]
p20309
sg8
(lp20310
(dp20311
g11
(lp20312
sg13
V\u005cleft\u005c{1,2,2,3,4\u005cright\u005c}
p20313
sg15
L5L
sass(g1693
g17918
VUnitVector
p20314
L0L
tp20315
(dp20316
g6
VUnitVector[2]
p20317
sg8
(lp20318
(dp20319
g11
(lp20320
sg13
V\u005cleft\u005c{0,1\u005cright\u005c}
p20321
sg15
L1L
sass(g1693
g17918
g20314
L1L
tp20322
(dp20323
g6
VUnitVector[4, 3]
p20324
sg8
(lp20325
(dp20326
g11
(lp20327
sg13
V\u005cleft\u005c{0,0,1,0\u005cright\u005c}
p20328
sg15
L2L
sass(g1693
g17918
VValues
p20329
L0L
tp20330
(dp20331
g6
VValues[<|a -> x, b -> y|>]
p20332
sg8
(lp20333
(dp20334
g11
(lp20335
sg13
V\u005cleft\u005c{x,y\u005cright\u005c}
p20336
sg15
L1L
sass(g1693
g17918
g20329
L1L
tp20337
(dp20338
g6
VValues[{a -> x, b -> y}]
p20339
sg8
(lp20340
(dp20341
g11
(lp20342
sg13
V\u005cleft\u005c{x,y\u005cright\u005c}
p20343
sg15
L2L
sass(g1693
g17918
g20329
L2L
tp20344
(dp20345
g6
VValues[{<|a -> x, b -> y|>, {c -> z, {}}}]
p20346
sg8
(lp20347
(dp20348
g11
(lp20349
sg13
V\u005cleft\u005c{\u005cleft\u005c{x,y\u005cright\u005c},\u005cleft\u005c{z,\u005cleft\u005c{\u005cright\u005c}\u005cright\u005c}\u005cright\u005c}
p20350
sg15
L3L
sass(g1693
g17918
g20329
L3L
tp20351
(dp20352
g6
VValues[{c -> z, b -> y, a -> x}]
p20353
sg8
(lp20354
(dp20355
g11
(lp20356
sg13
V\u005cleft\u005c{z,y,x\u005cright\u005c}
p20357
sg15
L4L
sass(g1693
g17918
VVariance
p20358
L0L
tp20359
(dp20360
g6
VVariance[{1, 2, 3}]
p20361
sg8
(lp20362
(dp20363
g11
(lp20364
sg13
V1
p20365
sg15
L1L
sass(g1693
g17918
g20358
L1L
tp20366
(dp20367
g6
VVariance[{7, -5, 101, 3}]
p20368
sg8
(lp20369
(dp20370
g11
(lp20371
sg13
V\u005cfrac{7475}{3}
p20372
sg15
L2L
sass(g1693
g17918
g20358
L2L
tp20373
(dp20374
g6
VVariance[{1 + 2I, 3 - 10I}]
p20375
sg8
(lp20376
(dp20377
g11
(lp20378
sg13
V74
p20379
sg15
L3L
sass(g1693
g17918
g20358
L3L
tp20380
(dp20381
g6
VVariance[{a, a}]
p20382
sg8
(lp20383
(dp20384
g11
(lp20385
sg13
V0
p20386
sg15
L4L
sass(g1693
g17918
g20358
L4L
tp20387
(dp20388
g6
VVariance[{{1, 3, 5}, {4, 10, 100}}]
p20389
sg8
(lp20390
(dp20391
g11
(lp20392
sg13
V\u005cleft\u005c{\u005cfrac{9}{2},\u005cfrac{49}{2},\u005cfrac{9025}{2}\u005cright\u005c}
p20393
sg15
L5L
sass(g1693
VMathematical Constants
p20394
VCatalan
p20395
L0L
tp20396
(dp20397
g6
VCatalan // N
p20398
sg8
(lp20399
(dp20400
g11
(lp20401
sg13
V0.915965594177219
p20402
sg15
L1L
sass(g1693
g20394
g20395
L1L
tp20403
(dp20404
g6
VN[Catalan, 20]
p20405
sg8
(lp20406
(dp20407
g11
(lp20408
sg13
V0.91596559417721901505
p20409
sg15
L2L
sass(g1693
g20394
VComplexInfinity
p20410
L0L
tp20411
(dp20412
g6
V1 / ComplexInfinity
p20413
sg8
(lp20414
(dp20415
g11
(lp20416
sg13
V0
p20417
sg15
L1L
sass(g1693
g20394
g20410
L1L
tp20418
(dp20419
g6
VComplexInfinity * Infinity
p20420
sg8
(lp20421
(dp20422
g11
(lp20423
sg13
V\u005ctext{ComplexInfinity}
p20424
sg15
L2L
sass(g1693
g20394
g20410
L2L
tp20425
(dp20426
g6
VFullForm[ComplexInfinity]
p20427
sg8
(lp20428
(dp20429
g11
(lp20430
sg13
V\u005ctext{DirectedInfinity}\u005cleft[\u005cright]
p20431
sg15
L3L
sass(g1693
g20394
VDegree
p20432
L0L
tp20433
(dp20434
g6
VCos[60 Degree]
p20435
sg8
(lp20436
(dp20437
g11
(lp20438
sg13
V\u005cfrac{1}{2}
p20439
sg15
L1L
sass(g1693
g20394
g20432
L1L
tp20440
(dp20441
g6
VDegree == Pi / 180
p20442
sg8
(lp20443
(dp20444
g11
(lp20445
sg13
V\u005ctext{True}
p20446
sg15
L2L
sass(g1693
g20394
g12394
L0L
tp20447
(dp20448
g6
VN[E]
p20449
sg8
(lp20450
(dp20451
g11
(lp20452
sg13
V2.71828
p20453
sg15
L1L
sass(g1693
g20394
g12394
L1L
tp20454
(dp20455
g6
VN[E, 50]
p20456
sg8
(lp20457
(dp20458
g11
(lp20459
sg13
V2.7182818284590452353602874713526624977572470937000
p20460
sg15
L2L
sass(g1693
g20394
VEulerGamma
p20461
L0L
tp20462
(dp20463
g6
VEulerGamma // N
p20464
sg8
(lp20465
(dp20466
g11
(lp20467
sg13
V0.577216
p20468
sg15
L1L
sass(g1693
g20394
g20461
L1L
tp20469
(dp20470
g6
VN[EulerGamma, 40]
p20471
sg8
(lp20472
(dp20473
g11
(lp20474
sg13
V0.5772156649015328606065120900824024310422
p20475
sg15
L2L
sass(g1693
g20394
VGlaisher
p20476
L0L
tp20477
(dp20478
g6
VN[Glaisher]
p20479
sg8
(lp20480
(dp20481
g11
(lp20482
sg13
V1.28242712910062
p20483
sg15
L1L
sass(g1693
g20394
g20476
L1L
tp20484
(dp20485
g6
VN[Glaisher, 50]
p20486
sg8
(lp20487
(dp20488
g11
(lp20489
sg13
V1.2824271291006226368753425688697917277676889273250
p20490
sg15
L2L
sass(g1693
g20394
VGoldenRatio
p20491
L0L
tp20492
(dp20493
g6
VGoldenRatio // N
p20494
sg8
(lp20495
(dp20496
g11
(lp20497
sg13
V1.61803398874989
p20498
sg15
L1L
sass(g1693
g20394
g20491
L1L
tp20499
(dp20500
g6
VN[GoldenRatio, 40]
p20501
sg8
(lp20502
(dp20503
g11
(lp20504
sg13
V1.618033988749894848204586834365638117720
p20505
sg15
L2L
sass(g1693
g20394
VIndeterminate
p20506
L0L
tp20507
(dp20508
g6
V0^0
p20509
sg8
(lp20510
(dp20511
g11
(lp20512
(dp20513
g149
I01
sg150
VPower
p20514
sg152
g174
sg154
VPower::indet
p20515
sg156
VIndeterminate expression 0 ^ 0 encountered.
p20516
sasg13
V\u005ctext{Indeterminate}
p20517
sg15
L1L
sass(g1693
g20394
g20506
L1L
tp20518
(dp20519
g6
VTan[Indeterminate]
p20520
sg8
(lp20521
(dp20522
g11
(lp20523
sg13
V\u005ctext{Indeterminate}
p20524
sg15
L2L
sass(g1693
g20394
VInfinity
p20525
L0L
tp20526
(dp20527
g6
V1 / Infinity
p20528
sg8
(lp20529
(dp20530
g11
(lp20531
sg13
V0
p20532
sg15
L1L
sass(g1693
g20394
g20525
L1L
tp20533
(dp20534
g6
VInfinity + 100
p20535
sg8
(lp20536
(dp20537
g11
(lp20538
sg13
g165
sg15
L2L
sass(g1693
g20394
g20525
L2L
tp20539
(dp20540
g6
VSum[1/x^2, {x, 1, Infinity}]
p20541
sg8
(lp20542
(dp20543
g11
(lp20544
sg13
V\u005cfrac{\u005ctext{Pi}^2}{6}
p20545
sg15
L3L
sass(g1693
g20394
VKhinchin
p20546
L0L
tp20547
(dp20548
g6
VN[Khinchin]
p20549
sg8
(lp20550
(dp20551
g11
(lp20552
sg13
V2.68545200106531
p20553
sg15
L1L
sass(g1693
g20394
g20546
L1L
tp20554
(dp20555
g6
VN[Khinchin, 50]
p20556
sg8
(lp20557
(dp20558
g11
(lp20559
sg13
V2.6854520010653064453097148354817956938203822939945
p20560
sg15
L2L
sass(g1693
g20394
VPi
p20561
L0L
tp20562
(dp20563
g6
VN[Pi]
p20564
sg8
(lp20565
(dp20566
g11
(lp20567
sg13
V3.14159
p20568
sg15
L1L
sass(g1693
g20394
g20561
L1L
tp20569
(dp20570
g6
VN[Pi, Method->"numpy"]
p20571
sg8
(lp20572
(dp20573
g11
(lp20574
sg13
V3.14159
p20575
sg15
L2L
sass(g1693
g20394
g20561
L2L
tp20576
(dp20577
g6
VN[Pi, 3, Method->"sympy"]
p20578
sg8
(lp20579
(dp20580
g11
(lp20581
sg13
V3.14
p20582
sg15
L3L
sass(g1693
g20394
g20561
L3L
tp20583
(dp20584
g6
VN[Pi, 50]
p20585
sg8
(lp20586
(dp20587
g11
(lp20588
sg13
V3.1415926535897932384626433832795028841971693993751
p20589
sg15
L4L
sass(g1693
g20394
g20561
L4L
tp20590
(dp20591
g6
VAttributes[Pi]
p20592
sg8
(lp20593
(dp20594
g11
(lp20595
sg13
V\u005cleft\u005c{\u005ctext{Constant},\u005ctext{Protected},\u005ctext{ReadProtected}\u005cright\u005c}
p20596
sg15
L5L
sass(g1693
VAlgebraic Manipulation
p20597
VApart
p20598
L0L
tp20599
(dp20600
g6
VApart[1 / (x^2 + 5x + 6)]
p20601
sg8
(lp20602
(dp20603
g11
(lp20604
sg13
V\u005cfrac{1}{2+x}-\u005cfrac{1}{3+x}
p20605
sg15
L1L
sass(g1693
g20597
g20598
L1L
tp20606
(dp20607
g6
VApart[1 / (x^2 - y^2), x]
p20608
sg8
(lp20609
(dp20610
g11
(lp20611
sg13
V-\u005cfrac{1}{2 y \u005cleft(x+y\u005cright)}+\u005cfrac{1}{2 y \u005cleft(x-y\u005cright)}
p20612
sg15
L2L
sass(g1693
g20597
g20598
L2L
tp20613
(dp20614
g6
VApart[1 / (x^2 - y^2), y]
p20615
sg8
(lp20616
(dp20617
g11
(lp20618
sg13
V\u005cfrac{1}{2 x \u005cleft(x+y\u005cright)}+\u005cfrac{1}{2 x \u005cleft(x-y\u005cright)}
p20619
sg15
L3L
sass(g1693
g20597
g20598
L3L
tp20620
(dp20621
g6
VApart[{1 / (x^2 + 5x + 6)}]
p20622
sg8
(lp20623
(dp20624
g11
(lp20625
sg13
V\u005cleft\u005c{\u005cfrac{1}{2+x}-\u005cfrac{1}{3+x}\u005cright\u005c}
p20626
sg15
L4L
sass(g1693
g20597
g20598
L4L
tp20627
(dp20628
g6
VSin[1 / (x ^ 2 - y ^ 2)] // Apart
p20629
sg8
(lp20630
(dp20631
g11
(lp20632
sg13
V\u005ctext{Sin}\u005cleft[\u005cfrac{1}{x^2-y^2}\u005cright]
p20633
sg15
L5L
sass(g1693
g20597
VCancel
p20634
L0L
tp20635
(dp20636
g6
VCancel[x / x ^ 2]
p20637
sg8
(lp20638
(dp20639
g11
(lp20640
sg13
V\u005cfrac{1}{x}
p20641
sg15
L1L
sass(g1693
g20597
g20634
L1L
tp20642
(dp20643
g6
VCancel[x / x ^ 2 + y / y ^ 2]
p20644
sg8
(lp20645
(dp20646
g11
(lp20647
sg13
V\u005cfrac{1}{x}+\u005cfrac{1}{y}
p20648
sg15
L2L
sass(g1693
g20597
g20634
L2L
tp20649
(dp20650
g6
VCancel[f[x] / x + x * f[x] / x ^ 2]
p20651
sg8
(lp20652
(dp20653
g11
(lp20654
sg13
V\u005cfrac{2 f\u005cleft[x\u005cright]}{x}
p20655
sg15
L3L
sass(g1693
g20597
VCoefficient
p20656
L0L
tp20657
(dp20658
g6
VCoefficient[(x + y)^4, (x^2) * (y^2)]
p20659
sg8
(lp20660
(dp20661
g11
(lp20662
sg13
V6
p20663
sg15
L1L
sass(g1693
g20597
g20656
L1L
tp20664
(dp20665
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, x]
p20666
sg8
(lp20667
(dp20668
g11
(lp20669
sg13
g444
sg15
L2L
sass(g1693
g20597
g20656
L2L
tp20670
(dp20671
g6
VCoefficient[(x + 3 y)^5, x]
p20672
sg8
(lp20673
(dp20674
g11
(lp20675
sg13
V405 y^4
p20676
sg15
L3L
sass(g1693
g20597
g20656
L3L
tp20677
(dp20678
g6
VCoefficient[(x + 3 y)^5, x * y^4]
p20679
sg8
(lp20680
(dp20681
g11
(lp20682
sg13
V405
p20683
sg15
L4L
sass(g1693
g20597
g20656
L4L
tp20684
(dp20685
g6
VCoefficient[(x + 2)/(y - 3) + (x + 3)/(y - 2), x]
p20686
sg8
(lp20687
(dp20688
g11
(lp20689
sg13
V\u005cfrac{1}{-3+y}+\u005cfrac{1}{-2+y}
p20690
sg15
L5L
sass(g1693
g20597
g20656
L12L
tp20691
(dp20692
g6
VCoefficient[x*Cos[x + 3] + 6*y, x]
p20693
sg8
(lp20694
(dp20695
g11
(lp20696
sg13
V\u005ctext{Cos}\u005cleft[3+x\u005cright]
p20697
sg15
L6L
sass(g1693
g20597
g20656
L13L
tp20698
(dp20699
g6
VCoefficient[(x + 1)^3, x, 2]
p20700
sg8
(lp20701
(dp20702
g11
(lp20703
sg13
V3
p20704
sg15
L7L
sass(g1693
g20597
g20656
L14L
tp20705
(dp20706
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, y, 3]
p20707
sg8
(lp20708
(dp20709
g11
(lp20710
sg13
g261
sg15
L8L
sass(g1693
g20597
g20656
L15L
tp20711
(dp20712
g6
VCoefficient[(x + 2)^3 + (x + 3)^2, x, 0]
p20713
sg8
(lp20714
(dp20715
g11
(lp20716
sg13
V17
p20717
sg15
L9L
sass(g1693
g20597
g20656
L16L
tp20718
(dp20719
g6
VCoefficient[(x + 2)^3 + (x + 3)^2, y, 0]
p20720
sg8
(lp20721
(dp20722
g11
(lp20723
sg13
V\u005cleft(2+x\u005cright)^3+\u005cleft(3+x\u005cright)^2
p20724
sg15
L10L
sass(g1693
g20597
g20656
L17L
tp20725
(dp20726
g6
VCoefficient[a x^2 + b y^3 + c x + d y + 5, x, 0]
p20727
sg8
(lp20728
(dp20729
g11
(lp20730
sg13
V5+b y^3+d y
p20731
sg15
L11L
sass(g1693
g20597
VCoefficientList
p20732
L0L
tp20733
(dp20734
g6
VCoefficientList[(x + 3)^5, x]
p20735
sg8
(lp20736
(dp20737
g11
(lp20738
sg13
V\u005cleft\u005c{243,405,270,90,15,1\u005cright\u005c}
p20739
sg15
L1L
sass(g1693
g20597
g20732
L1L
tp20740
(dp20741
g6
VCoefficientList[(x + y)^4, x]
p20742
sg8
(lp20743
(dp20744
g11
(lp20745
sg13
V\u005cleft\u005c{y^4,4 y^3,6 y^2,4 y,1\u005cright\u005c}
p20746
sg15
L2L
sass(g1693
g20597
g20732
L2L
tp20747
(dp20748
g6
VCoefficientList[a x^2 + b y^3 + c x + d y + 5, x]
p20749
sg8
(lp20750
(dp20751
g11
(lp20752
sg13
V\u005cleft\u005c{5+b y^3+d y,c,a\u005cright\u005c}
p20753
sg15
L3L
sass(g1693
g20597
g20732
L3L
tp20754
(dp20755
g6
VCoefficientList[(x + 2)/(y - 3) + x/(y - 2), x]
p20756
sg8
(lp20757
(dp20758
g11
(lp20759
sg13
V\u005cleft\u005c{\u005cfrac{2}{-3+y},\u005cfrac{1}{-3+y}+\u005cfrac{1}{-2+y}\u005cright\u005c}
p20760
sg15
L4L
sass(g1693
g20597
g20732
L4L
tp20761
(dp20762
g6
VCoefficientList[(x + y)^3, z]
p20763
sg8
(lp20764
(dp20765
g11
(lp20766
sg13
V\u005cleft\u005c{\u005cleft(x+y\u005cright)^3\u005cright\u005c}
p20767
sg15
L5L
sass(g1693
g20597
g20732
L12L
tp20768
(dp20769
g6
VCoefficientList[a x^2 + b y^3 + c x + d y + 5, {x, y}]
p20770
sg8
(lp20771
(dp20772
g11
(lp20773
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}
p20774
sg15
L6L
sass(g1693
g20597
g20732
L18L
tp20775
(dp20776
g6
VCoefficientList[(x - 2 y + 3 z)^3, {x, y, z}]
p20777
sg8
(lp20778
(dp20779
g11
(lp20780
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}
p20781
sg15
L7L
sass(g1693
g20597
VDenominator
p20782
L0L
tp20783
(dp20784
g6
VDenominator[a / b]
p20785
sg8
(lp20786
(dp20787
g11
(lp20788
sg13
g261
sg15
L1L
sass(g1693
g20597
g20782
L1L
tp20789
(dp20790
g6
VDenominator[2 / 3]
p20791
sg8
(lp20792
(dp20793
g11
(lp20794
sg13
V3
p20795
sg15
L2L
sass(g1693
g20597
g20782
L2L
tp20796
(dp20797
g6
VDenominator[a + b]
p20798
sg8
(lp20799
(dp20800
g11
(lp20801
sg13
V1
p20802
sg15
L3L
sass(g1693
g20597
VExpand
p20803
L0L
tp20804
(dp20805
g6
VExpand[(x + y) ^ 3]
p20806
sg8
(lp20807
(dp20808
g11
(lp20809
sg13
Vx^3+3 x^2 y+3 x y^2+y^3
p20810
sg15
L1L
sass(g1693
g20597
g20803
L1L
tp20811
(dp20812
g6
VExpand[(a + b) (a + c + d)]
p20813
sg8
(lp20814
(dp20815
g11
(lp20816
sg13
Va^2+a b+a c+a d+b c+b d
p20817
sg15
L2L
sass(g1693
g20597
g20803
L2L
tp20818
(dp20819
g6
VExpand[(a + b) (a + c + d) (e + f) + e a a]
p20820
sg8
(lp20821
(dp20822
g11
(lp20823
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
p20824
sg15
L3L
sass(g1693
g20597
g20803
L3L
tp20825
(dp20826
g6
VExpand[(a + b) ^ 2 * (c + d)]
p20827
sg8
(lp20828
(dp20829
g11
(lp20830
sg13
Va^2 c+a^2 d+2 a b c+2 a b d+b^2 c+b^2 d
p20831
sg15
L4L
sass(g1693
g20597
g20803
L4L
tp20832
(dp20833
g6
VExpand[(x + y) ^ 2 + x y]
p20834
sg8
(lp20835
(dp20836
g11
(lp20837
sg13
Vx^2+3 x y+y^2
p20838
sg15
L5L
sass(g1693
g20597
g20803
L5L
tp20839
(dp20840
g6
VExpand[((a + b) (c + d)) ^ 2 + b (1 + a)]
p20841
sg8
(lp20842
(dp20843
g11
(lp20844
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
p20845
sg15
L6L
sass(g1693
g20597
g20803
L6L
tp20846
(dp20847
g6
VExpand[{4 (x + y), 2 (x + y) -> 4 (x + y)}]
p20848
sg8
(lp20849
(dp20850
g11
(lp20851
sg13
V\u005cleft\u005c{4 x+4 y,2 x+2 y->4 x+4 y\u005cright\u005c}
p20852
sg15
L7L
sass(g1693
g20597
g20803
L7L
tp20853
(dp20854
g6
VExpand[Sin[x + y], Trig -> True]
p20855
sg8
(lp20856
(dp20857
g11
(lp20858
sg13
V\u005ctext{Cos}\u005cleft[x\u005cright] \u005ctext{Sin}\u005cleft[y\u005cright]+\u005ctext{Cos}\u005cleft[y\u005cright] \u005ctext{Sin}\u005cleft[x\u005cright]
p20859
sg15
L8L
sass(g1693
g20597
g20803
L8L
tp20860
(dp20861
g6
VExpand[Sin[x (1 + y)]]
p20862
sg8
(lp20863
(dp20864
g11
(lp20865
sg13
V\u005ctext{Sin}\u005cleft[x \u005cleft(1+y\u005cright)\u005cright]
p20866
sg15
L9L
sass(g1693
g20597
g20803
L9L
tp20867
(dp20868
g6
VExpand[(1 + a)^12, Modulus -> 3]
p20869
sg8
(lp20870
(dp20871
g11
(lp20872
sg13
V1+a^3+a^9+a^{12}
p20873
sg15
L10L
sass(g1693
g20597
g20803
L10L
tp20874
(dp20875
g6
VExpand[(1 + a)^12, Modulus -> 4]
p20876
sg8
(lp20877
(dp20878
g11
(lp20879
sg13
V1+2 a^2+3 a^4+3 a^8+2 a^{10}+a^{12}
p20880
sg15
L11L
sass(g1693
g20597
VExpandAll
p20881
L0L
tp20882
(dp20883
g6
VExpandAll[(a + b) ^ 2 / (c + d)^2]
p20884
sg8
(lp20885
(dp20886
g11
(lp20887
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}
p20888
sg15
L1L
sass(g1693
g20597
g20881
L1L
tp20889
(dp20890
g6
VExpandAll[(a + Sin[x (1 + y)])^2]
p20891
sg8
(lp20892
(dp20893
g11
(lp20894
sg13
V2 a \u005ctext{Sin}\u005cleft[x+x y\u005cright]+a^2+\u005ctext{Sin}\u005cleft[x+x y\u005cright]^2
p20895
sg15
L2L
sass(g1693
g20597
g20881
L2L
tp20896
(dp20897
g6
VExpandAll[((1 + x)(1 + y))[x]]
p20898
sg8
(lp20899
(dp20900
g11
(lp20901
sg13
V\u005cleft(1+x+y+x y\u005cright)\u005cleft[x\u005cright]
p20902
sg15
L3L
sass(g1693
g20597
g20881
L3L
tp20903
(dp20904
g6
VExpandAll[(1 + a) ^ 6 / (x + y)^3, Modulus -> 3]
p20905
sg8
(lp20906
(dp20907
g11
(lp20908
sg13
V\u005cfrac{1+2 a^3+a^6}{x^3+y^3}
p20909
sg15
L4L
sass(g1693
g20597
VExpandDenominator
p20910
L0L
tp20911
(dp20912
g6
VExpandDenominator[(a + b) ^ 2 / ((c + d)^2 (e + f))]
p20913
sg8
(lp20914
(dp20915
g11
(lp20916
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}
p20917
sg15
L1L
sass(g1693
g20597
VExponent
p20918
L0L
tp20919
(dp20920
g6
VExponent[5 x^2 - 3 x + 7, x]
p20921
sg8
(lp20922
(dp20923
g11
(lp20924
sg13
V2
p20925
sg15
L1L
sass(g1693
g20597
g20918
L2L
tp20926
(dp20927
g6
VExponent[(x^3 + 1)^2 + 1, x]
p20928
sg8
(lp20929
(dp20930
g11
(lp20931
sg13
V6
p20932
sg15
L2L
sass(g1693
g20597
g20918
L5L
tp20933
(dp20934
g6
VExponent[x^(n + 1) + Sqrt[x] + 1, x]
p20935
sg8
(lp20936
(dp20937
g11
(lp20938
sg13
V\u005ctext{Max}\u005cleft[\u005cfrac{1}{2},1+n\u005cright]
p20939
sg15
L3L
sass(g1693
g20597
g20918
L9L
tp20940
(dp20941
g6
VExponent[x / y, y]
p20942
sg8
(lp20943
(dp20944
g11
(lp20945
sg13
V-1
p20946
sg15
L4L
sass(g1693
g20597
g20918
L10L
tp20947
(dp20948
g6
VExponent[(x^2 + 1)^3 - 1, x, Min]
p20949
sg8
(lp20950
(dp20951
g11
(lp20952
sg13
V2
p20953
sg15
L5L
sass(g1693
g20597
g20918
L12L
tp20954
(dp20955
g6
VExponent[1 - 2 x^2 + a x^3, x, List]
p20956
sg8
(lp20957
(dp20958
g11
(lp20959
sg13
V\u005cleft\u005c{0,2,3\u005cright\u005c}
p20960
sg15
L6L
sass(g1693
g20597
g20918
L23L
tp20961
(dp20962
g6
VExponent[0, x]
p20963
sg8
(lp20964
(dp20965
g11
(lp20966
sg13
V-\u005cinfty 
p20967
sg15
L7L
sass(g1693
g20597
g20918
L24L
tp20968
(dp20969
g6
VExponent[1, x]
p20970
sg8
(lp20971
(dp20972
g11
(lp20973
sg13
V0
p20974
sg15
L8L
sass(g1693
g20597
VFactor
p20975
L0L
tp20976
(dp20977
g6
VFactor[x ^ 2 + 2 x + 1]
p20978
sg8
(lp20979
(dp20980
g11
(lp20981
sg13
V\u005cleft(1+x\u005cright)^2
p20982
sg15
L1L
sass(g1693
g20597
g20975
L1L
tp20983
(dp20984
g6
VFactor[1 / (x^2+2x+1) + 1 / (x^4+2x^2+1)]
p20985
sg8
(lp20986
(dp20987
g11
(lp20988
sg13
V\u005cfrac{2+2 x+3 x^2+x^4}{\u005cleft(1+x\u005cright)^2 {\u005cleft(1+x^2\u005cright)}^2}
p20989
sg15
L2L
sass(g1693
g20597
VFactorTermsList
p20990
L0L
tp20991
(dp20992
g6
VFactorTermsList[2 x^2 - 2]
p20993
sg8
(lp20994
(dp20995
g11
(lp20996
sg13
V\u005cleft\u005c{2,-1+x^2\u005cright\u005c}
p20997
sg15
L1L
sass(g1693
g20597
g20990
L1L
tp20998
(dp20999
g6
VFactorTermsList[x^2 - 2 x + 1]
p21000
sg8
(lp21001
(dp21002
g11
(lp21003
sg13
V\u005cleft\u005c{1,1-2 x+x^2\u005cright\u005c}
p21004
sg15
L2L
sass(g1693
g20597
g20990
L3L
tp21005
(dp21006
g6
Vf = 3 (-1 + 2 x) (-1 + y) (1 - a)
p21007
sg8
(lp21008
(dp21009
g11
(lp21010
sg13
V3 \u005cleft(-1+2 x\u005cright) \u005cleft(-1+y\u005cright) \u005cleft(1-a\u005cright)
p21011
sg15
L3L
sass(g1693
g20597
g20990
L4L
tp21012
(dp21013
g6
VFactorTermsList[f]
p21014
sg8
(lp21015
(dp21016
g11
(lp21017
sg13
V\u005cleft\u005c{-3,-1+a-2 a x-a y+2 x+y-2 x y+2 a x y\u005cright\u005c}
p21018
sg15
L4L
sass(g1693
g20597
g20990
L5L
tp21019
(dp21020
g6
VFactorTermsList[f, x]
p21021
sg8
(lp21022
(dp21023
g11
(lp21024
sg13
V\u005cleft\u005c{-3,1-a-y+a y,-1+2 x\u005cright\u005c}
p21025
sg15
L5L
sass(g1693
g20597
g20990
L7L
tp21026
(dp21027
g6
VFactorTermsList[f, {x, y}]
p21028
sg8
(lp21029
(dp21030
g11
(lp21031
sg13
V\u005cleft\u005c{-3,-1+a,-1+y,-1+2 x\u005cright\u005c}
p21032
sg15
L6L
sass(g1693
g20597
VMinimalPolynomial
p21033
L0L
tp21034
(dp21035
g6
VMinimalPolynomial[7, x]
p21036
sg8
(lp21037
(dp21038
g11
(lp21039
sg13
V-7+x
p21040
sg15
L1L
sass(g1693
g20597
g21033
L1L
tp21041
(dp21042
g6
VMinimalPolynomial[Sqrt[2] + Sqrt[3], x]
p21043
sg8
(lp21044
(dp21045
g11
(lp21046
sg13
V1-10 x^2+x^4
p21047
sg15
L2L
sass(g1693
g20597
g21033
L2L
tp21048
(dp21049
g6
VMinimalPolynomial[Sqrt[1 + Sqrt[3]], x]
p21050
sg8
(lp21051
(dp21052
g11
(lp21053
sg13
V-2-2 x^2+x^4
p21054
sg15
L3L
sass(g1693
g20597
g21033
L3L
tp21055
(dp21056
g6
VMinimalPolynomial[Sqrt[I + Sqrt[6]], x]
p21057
sg8
(lp21058
(dp21059
g11
(lp21060
sg13
V49-10 x^4+x^8
p21061
sg15
L4L
sass(g1693
g20597
VNumerator
p21062
L0L
tp21063
(dp21064
g6
VNumerator[a / b]
p21065
sg8
(lp21066
(dp21067
g11
(lp21068
sg13
g542
sg15
L1L
sass(g1693
g20597
g21062
L1L
tp21069
(dp21070
g6
VNumerator[2 / 3]
p21071
sg8
(lp21072
(dp21073
g11
(lp21074
sg13
V2
p21075
sg15
L2L
sass(g1693
g20597
g21062
L2L
tp21076
(dp21077
g6
VNumerator[a + b]
p21078
sg8
(lp21079
(dp21080
g11
(lp21081
sg13
Va+b
p21082
sg15
L3L
sass(g1693
g20597
VPolynomialQ
p21083
L0L
tp21084
(dp21085
g6
VPolynomialQ[x^3 - 2 x/y + 3xz, x]
p21086
sg8
(lp21087
(dp21088
g11
(lp21089
sg13
V\u005ctext{True}
p21090
sg15
L1L
sass(g1693
g20597
g21083
L1L
tp21091
(dp21092
g6
VPolynomialQ[x^3 - 2 x/y + 3xz, y]
p21093
sg8
(lp21094
(dp21095
g11
(lp21096
sg13
V\u005ctext{False}
p21097
sg15
L2L
sass(g1693
g20597
g21083
L2L
tp21098
(dp21099
g6
VPolynomialQ[f[a] + f[a]^2, f[a]]
p21100
sg8
(lp21101
(dp21102
g11
(lp21103
sg13
V\u005ctext{True}
p21104
sg15
L3L
sass(g1693
g20597
g21083
L3L
tp21105
(dp21106
g6
VPolynomialQ[x^2 + axy^2 - bSin[c], {x, y}]
p21107
sg8
(lp21108
(dp21109
g11
(lp21110
sg13
V\u005ctext{True}
p21111
sg15
L4L
sass(g1693
g20597
g21083
L4L
tp21112
(dp21113
g6
VPolynomialQ[x^2 + axy^2 - bSin[c], {a, b, c}]
p21114
sg8
(lp21115
(dp21116
g11
(lp21117
sg13
V\u005ctext{False}
p21118
sg15
L5L
sass(g1693
g20597
VPowerExpand
p21119
L0L
tp21120
(dp21121
g6
VPowerExpand[(a ^ b) ^ c]
p21122
sg8
(lp21123
(dp21124
g11
(lp21125
sg13
Va^{b c}
p21126
sg15
L1L
sass(g1693
g20597
g21119
L1L
tp21127
(dp21128
g6
VPowerExpand[(a * b) ^ c]
p21129
sg8
(lp21130
(dp21131
g11
(lp21132
sg13
Va^c b^c
p21133
sg15
L2L
sass(g1693
g20597
g21119
L2L
tp21134
(dp21135
g6
VPowerExpand[(x ^ 2) ^ (1/2)]
p21136
sg8
(lp21137
(dp21138
g11
(lp21139
sg13
g195
sg15
L3L
sass(g1693
g20597
VSimplify
p21140
L0L
tp21141
(dp21142
g6
VSimplify[2*Sin[x]^2 + 2*Cos[x]^2]
p21143
sg8
(lp21144
(dp21145
g11
(lp21146
sg13
V2
p21147
sg15
L1L
sass(g1693
g20597
g21140
L1L
tp21148
(dp21149
g6
VSimplify[x]
p21150
sg8
(lp21151
(dp21152
g11
(lp21153
sg13
g195
sg15
L2L
sass(g1693
g20597
g21140
L2L
tp21154
(dp21155
g6
VSimplify[f[x]]
p21156
sg8
(lp21157
(dp21158
g11
(lp21159
sg13
Vf\u005cleft[x\u005cright]
p21160
sg15
L3L
sass(g1693
g20597
VTogether
p21161
L0L
tp21162
(dp21163
g6
VTogether[a / c + b / c]
p21164
sg8
(lp21165
(dp21166
g11
(lp21167
sg13
V\u005cfrac{a+b}{c}
p21168
sg15
L1L
sass(g1693
g20597
g21161
L1L
tp21169
(dp21170
g6
VTogether[{x / (y+1) + x / (y+1)^2}]
p21171
sg8
(lp21172
(dp21173
g11
(lp21174
sg13
V\u005cleft\u005c{\u005cfrac{x \u005cleft(2+y\u005cright)}{\u005cleft(1+y\u005cright)^2}\u005cright\u005c}
p21175
sg15
L2L
sass(g1693
g20597
g21161
L2L
tp21176
(dp21177
g6
VTogether[f[a / c + b / c]]
p21178
sg8
(lp21179
(dp21180
g11
(lp21181
sg13
Vf\u005cleft[\u005cfrac{a}{c}+\u005cfrac{b}{c}\u005cright]
p21182
sg15
L3L
sass(g1693
g20597
VVariables
p21183
L0L
tp21184
(dp21185
g6
VVariables[a x^2 + b x + c]
p21186
sg8
(lp21187
(dp21188
g11
(lp21189
sg13
V\u005cleft\u005c{a,b,c,x\u005cright\u005c}
p21190
sg15
L1L
sass(g1693
g20597
g21183
L1L
tp21191
(dp21192
g6
VVariables[{a + b x, c y^2 + x/2}]
p21193
sg8
(lp21194
(dp21195
g11
(lp21196
sg13
V\u005cleft\u005c{a,b,c,x,y\u005cright\u005c}
p21197
sg15
L2L
sass(g1693
g20597
g21183
L2L
tp21198
(dp21199
g6
VVariables[x + Sin[y]]
p21200
sg8
(lp21201
(dp21202
g11
(lp21203
sg13
V\u005cleft\u005c{x,\u005ctext{Sin}\u005cleft[y\u005cright]\u005cright\u005c}
p21204
sg15
L3L
sass(g1693
VNumeric Evaluation
p21205
VChop
p21206
L0L
tp21207
(dp21208
g6
VChop[10.0 ^ -16]
p21209
sg8
(lp21210
(dp21211
g11
(lp21212
sg13
V0
p21213
sg15
L1L
sass(g1693
g21205
g21206
L1L
tp21214
(dp21215
g6
VChop[10.0 ^ -9]
p21216
sg8
(lp21217
(dp21218
g11
(lp21219
sg13
V1.\u005ctimes 10^{-9}
p21220
sg15
L2L
sass(g1693
g21205
g21206
L2L
tp21221
(dp21222
g6
VChop[10 ^ -11 I]
p21223
sg8
(lp21224
(dp21225
g11
(lp21226
sg13
V\u005cfrac{I}{100000000000}
p21227
sg15
L3L
sass(g1693
g21205
g21206
L3L
tp21228
(dp21229
g6
VChop[0. + 10 ^ -11 I]
p21230
sg8
(lp21231
(dp21232
g11
(lp21233
sg13
V0
p21234
sg15
L4L
sass(g1693
g21205
VHash
p21235
L0L
tp21236
(dp21237
g6
VHash[{a, b, c}, "xyzstr"]
p21238
sg8
(lp21239
(dp21240
g11
(lp21241
sg13
V\u005ctext{Hash}\u005cleft[\u005cleft\u005c{a,b,c\u005cright\u005c},\u005ctext{xyzstr},\u005ctext{Integer}\u005cright]
p21242
sg15
L1L
sass(g1693
g21205
VIntegerDigits
p21243
L0L
tp21244
(dp21245
g6
VIntegerDigits[76543]
p21246
sg8
(lp21247
(dp21248
g11
(lp21249
sg13
V\u005cleft\u005c{7,6,5,4,3\u005cright\u005c}
p21250
sg15
L1L
sass(g1693
g21205
g21243
L1L
tp21251
(dp21252
g6
VIntegerDigits[-76543]
p21253
sg8
(lp21254
(dp21255
g11
(lp21256
sg13
V\u005cleft\u005c{7,6,5,4,3\u005cright\u005c}
p21257
sg15
L2L
sass(g1693
g21205
g21243
L2L
tp21258
(dp21259
g6
VIntegerDigits[15, 16]
p21260
sg8
(lp21261
(dp21262
g11
(lp21263
sg13
V\u005cleft\u005c{15\u005cright\u005c}
p21264
sg15
L3L
sass(g1693
g21205
g21243
L3L
tp21265
(dp21266
g6
VIntegerDigits[1234, 16]
p21267
sg8
(lp21268
(dp21269
g11
(lp21270
sg13
V\u005cleft\u005c{4,13,2\u005cright\u005c}
p21271
sg15
L4L
sass(g1693
g21205
g21243
L4L
tp21272
(dp21273
g6
VIntegerDigits[1234, 10, 5]
p21274
sg8
(lp21275
(dp21276
g11
(lp21277
sg13
V\u005cleft\u005c{0,1,2,3,4\u005cright\u005c}
p21278
sg15
L5L
sass(g1693
g21205
V$MachineEpsilon
p21279
L0L
tp21280
(dp21281
g6
V$MachineEpsilon
p21282
sg8
(lp21283
(dp21284
g11
(lp21285
sg13
V2.22045\u005ctimes 10^{-16}
p21286
sg15
L1L
sass(g1693
g21205
g21279
L1L
tp21287
(dp21288
g6
Vx = 1.0 + {0.4, 0.5, 0.6} $MachineEpsilon;
p21289
sg8
(lp21290
(dp21291
g11
(lp21292
sg13
Nsg15
L2L
sass(g1693
g21205
g21279
L2L
tp21293
(dp21294
g6
Vx - 1
p21295
sg8
(lp21296
(dp21297
g11
(lp21298
sg13
V\u005cleft\u005c{0.,0.,2.22045\u005ctimes 10^{-16}\u005cright\u005c}
p21299
sg15
L3L
sass(g1693
g21205
VMachinePrecision
p21300
L0L
tp21301
(dp21302
g6
VN[MachinePrecision]
p21303
sg8
(lp21304
(dp21305
g11
(lp21306
sg13
V15.9546
p21307
sg15
L1L
sass(g1693
g21205
g21300
L1L
tp21308
(dp21309
g6
VN[MachinePrecision, 30]
p21310
sg8
(lp21311
(dp21312
g11
(lp21313
sg13
V15.9545897701910033463281614204
p21314
sg15
L2L
sass(g1693
g21205
V$MachinePrecision
p21315
L0L
tp21316
(dp21317
g6
V$MachinePrecision
p21318
sg8
(lp21319
(dp21320
g11
(lp21321
sg13
V15.9546
p21322
sg15
L1L
sass(g1693
g21205
V$MaxPrecision
p21323
L0L
tp21324
(dp21325
g6
V$MaxPrecision
p21326
sg8
(lp21327
(dp21328
g11
(lp21329
sg13
g165
sg15
L1L
sass(g1693
g21205
g21323
L1L
tp21330
(dp21331
g6
V$MaxPrecision = 10;
p21332
sg8
(lp21333
(dp21334
g11
(lp21335
sg13
Nsg15
L2L
sass(g1693
g21205
g21323
L2L
tp21336
(dp21337
g6
VN[Pi, 11]
p21338
sg8
(lp21339
(dp21340
g11
(lp21341
(dp21342
g149
I01
sg150
VN
p21343
sg152
Vpreclg
p21344
sg154
VN::preclg
p21345
sg156
VRequested precision 11 is larger than $MaxPrecision. Using current $MaxPrecision of 10. instead. $MaxPrecision = Infinity specifies that any precision should be allowed.
p21346
sasg13
V3.141592654
p21347
sg15
L3L
sass(g1693
g21205
V$MinPrecision
p21348
L0L
tp21349
(dp21350
g6
V$MinPrecision
p21351
sg8
(lp21352
(dp21353
g11
(lp21354
sg13
V0
p21355
sg15
L1L
sass(g1693
g21205
g21348
L1L
tp21356
(dp21357
g6
V$MinPrecision = 10;
p21358
sg8
(lp21359
(dp21360
g11
(lp21361
sg13
Nsg15
L2L
sass(g1693
g21205
g21348
L2L
tp21362
(dp21363
g6
VN[Pi, 9]
p21364
sg8
(lp21365
(dp21366
g11
(lp21367
(dp21368
g149
I01
sg150
g21343
sg152
Vprecsm
p21369
sg154
VN::precsm
p21370
sg156
VRequested precision 9 is smaller than $MinPrecision. Using current $MinPrecision of 10. instead.
p21371
sasg13
V3.141592654
p21372
sg15
L3L
sass(g1693
g21205
g21343
L0L
tp21373
(dp21374
g6
VN[Pi, 50]
p21375
sg8
(lp21376
(dp21377
g11
(lp21378
sg13
V3.1415926535897932384626433832795028841971693993751
p21379
sg15
L1L
sass(g1693
g21205
g21343
L1L
tp21380
(dp21381
g6
VN[1/7]
p21382
sg8
(lp21383
(dp21384
g11
(lp21385
sg13
V0.142857
p21386
sg15
L2L
sass(g1693
g21205
g21343
L2L
tp21387
(dp21388
g6
VN[1/7, 5]
p21389
sg8
(lp21390
(dp21391
g11
(lp21392
sg13
V0.14286
p21393
sg15
L3L
sass(g1693
g21205
g21343
L3L
tp21394
(dp21395
g6
VN[a] = 10.9
p21396
sg8
(lp21397
(dp21398
g11
(lp21399
sg13
V10.9
p21400
sg15
L4L
sass(g1693
g21205
g21343
L4L
tp21401
(dp21402
g6
g542
sg8
(lp21403
(dp21404
g11
(lp21405
sg13
g542
sg15
L5L
sass(g1693
g21205
g21343
L5L
tp21406
(dp21407
g6
VN[a + b]
p21408
sg8
(lp21409
(dp21410
g11
(lp21411
sg13
V10.9+b
p21412
sg15
L6L
sass(g1693
g21205
g21343
L6L
tp21413
(dp21414
g6
VN[a, 20]
p21415
sg8
(lp21416
(dp21417
g11
(lp21418
sg13
g542
sg15
L7L
sass(g1693
g21205
g21343
L7L
tp21419
(dp21420
g6
VN[a, 20] = 11;
p21421
sg8
(lp21422
(dp21423
g11
(lp21424
sg13
Nsg15
L8L
sass(g1693
g21205
g21343
L8L
tp21425
(dp21426
g6
VN[a + b, 20]
p21427
sg8
(lp21428
(dp21429
g11
(lp21430
sg13
V11.000000000000000000+b
p21431
sg15
L9L
sass(g1693
g21205
g21343
L9L
tp21432
(dp21433
g6
VN[f[a, b]]
p21434
sg8
(lp21435
(dp21436
g11
(lp21437
sg13
Vf\u005cleft[10.9,b\u005cright]
p21438
sg15
L10L
sass(g1693
g21205
g21343
L10L
tp21439
(dp21440
g6
VSetAttributes[f, NHoldAll]
p21441
sg8
(lp21442
(dp21443
g11
(lp21444
sg13
Nsg15
L11L
sass(g1693
g21205
g21343
L11L
tp21445
(dp21446
g6
VN[f[a, b]]
p21447
sg8
(lp21448
(dp21449
g11
(lp21450
sg13
Vf\u005cleft[a,b\u005cright]
p21451
sg15
L12L
sass(g1693
g21205
g21343
L12L
tp21452
(dp21453
g6
VN[c, p_?(#>10&)] := p
p21454
sg8
(lp21455
(dp21456
g11
(lp21457
sg13
Nsg15
L13L
sass(g1693
g21205
g21343
L13L
tp21458
(dp21459
g6
VN[c, 3]
p21460
sg8
(lp21461
(dp21462
g11
(lp21463
sg13
g444
sg15
L14L
sass(g1693
g21205
g21343
L14L
tp21464
(dp21465
g6
VN[c, 11]
p21466
sg8
(lp21467
(dp21468
g11
(lp21469
sg13
V11.000000000
p21470
sg15
L15L
sass(g1693
g21205
g21343
L15L
tp21471
(dp21472
g6
VN[d] ^= 5;
p21473
sg8
(lp21474
(dp21475
g11
(lp21476
sg13
Nsg15
L16L
sass(g1693
g21205
g21343
L16L
tp21477
(dp21478
g6
VUpValues[d]
p21479
sg8
(lp21480
(dp21481
g11
(lp21482
sg13
V\u005cleft\u005c{\u005cright\u005c}
p21483
sg15
L17L
sass(g1693
g21205
g21343
L17L
tp21484
(dp21485
g6
VNValues[d]
p21486
sg8
(lp21487
(dp21488
g11
(lp21489
sg13
V\u005cleft\u005c{\u005ctext{HoldPattern}\u005cleft[N\u005cleft[d,\u005ctext{MachinePrecision}\u005cright]\u005cright]\u005ctext{:>}5\u005cright\u005c}
p21490
sg15
L18L
sass(g1693
g21205
g21343
L18L
tp21491
(dp21492
g6
Ve /: N[e] = 6;
p21493
sg8
(lp21494
(dp21495
g11
(lp21496
sg13
Nsg15
L19L
sass(g1693
g21205
g21343
L19L
tp21497
(dp21498
g6
VN[e]
p21499
sg8
(lp21500
(dp21501
g11
(lp21502
sg13
V6.
p21503
sg15
L20L
sass(g1693
g21205
g21343
L20L
tp21504
(dp21505
g6
Vf /: N[e[f]] = 7;
p21506
sg8
(lp21507
(dp21508
g11
(lp21509
(dp21510
g149
I01
sg150
VTagSet
p21511
sg152
g3121
sg154
VTagSet::tagnfd
p21512
sg156
VTag f not found or too deep for an assigned rule.
p21513
sasg13
Nsg15
L21L
sass(g1693
g21205
g21343
L21L
tp21514
(dp21515
g6
VN[g[x_, y_], p_] := x + y * Pi /; x + y > 3
p21516
sg8
(lp21517
(dp21518
g11
(lp21519
sg13
Nsg15
L22L
sass(g1693
g21205
g21343
L22L
tp21520
(dp21521
g6
VSetAttributes[g, NHoldRest]
p21522
sg8
(lp21523
(dp21524
g11
(lp21525
sg13
Nsg15
L23L
sass(g1693
g21205
g21343
L23L
tp21526
(dp21527
g6
VN[g[1, 1]]
p21528
sg8
(lp21529
(dp21530
g11
(lp21531
sg13
Vg\u005cleft[1.,1\u005cright]
p21532
sg15
L24L
sass(g1693
g21205
g21343
L24L
tp21533
(dp21534
g6
VN[g[2, 2]] // InputForm
p21535
sg8
(lp21536
(dp21537
g11
(lp21538
sg13
V8.283185307179586
p21539
sg15
L25L
sass(g1693
g21205
g21343
L25L
tp21540
(dp21541
g6
VN[Exp[0.1], 100]
p21542
sg8
(lp21543
(dp21544
g11
(lp21545
sg13
V1.10517
p21546
sg15
L26L
sass(g1693
g21205
g21343
L26L
tp21547
(dp21548
g6
V% // Precision
p21549
sg8
(lp21550
(dp21551
g11
(lp21552
sg13
V\u005ctext{MachinePrecision}
p21553
sg15
L27L
sass(g1693
g21205
g21343
L27L
tp21554
(dp21555
g6
VN[Exp[1/10], 100]
p21556
sg8
(lp21557
(dp21558
g11
(lp21559
sg13
V1.105170918075647624811707826490246668224547194737518718792863289440967966747654302989143318970748654
p21560
sg15
L28L
sass(g1693
g21205
g21343
L28L
tp21561
(dp21562
g6
V% // Precision
p21563
sg8
(lp21564
(dp21565
g11
(lp21566
sg13
V100.
p21567
sg15
L29L
sass(g1693
g21205
g21343
L29L
tp21568
(dp21569
g6
VN[Exp[1.0`20], 100]
p21570
sg8
(lp21571
(dp21572
g11
(lp21573
sg13
V2.7182818284590452354
p21574
sg15
L30L
sass(g1693
g21205
g21343
L30L
tp21575
(dp21576
g6
V% // Precision
p21577
sg8
(lp21578
(dp21579
g11
(lp21580
sg13
V20.
p21581
sg15
L31L
sass(g1693
g21205
VNIntegrate
p21582
L0L
tp21583
(dp21584
g6
VNIntegrate[Exp[-x],{x,0,Infinity},Tolerance->1*^-6]
p21585
sg8
(lp21586
(dp21587
g11
(lp21588
sg13
V1.
p21589
sg15
L1L
sass(g1693
g21205
g21582
L1L
tp21590
(dp21591
g6
VNIntegrate[Exp[x],{x,-Infinity, 0},Tolerance->1*^-6]
p21592
sg8
(lp21593
(dp21594
g11
(lp21595
sg13
V1.
p21596
sg15
L2L
sass(g1693
g21205
g21582
L2L
tp21597
(dp21598
g6
VNIntegrate[Exp[-x^2/2.],{x,-Infinity, Infinity},Tolerance->1*^-6]
p21599
sg8
(lp21600
(dp21601
g11
(lp21602
sg13
V2.50663
p21603
sg15
L3L
sass(g1693
g21205
g21582
L3L
tp21604
(dp21605
g6
VTable[1./NIntegrate[x^k,{x,0,1},Tolerance->1*^-6], {k,0,6}]
p21606
sg8
(lp21607
(dp21608
g11
(lp21609
(dp21610
g149
I01
sg150
VNIntegrate
p21611
sg152
Vmtdfail
p21612
sg154
VNIntegrate::mtdfail
p21613
sg156
VThe specified method failed to return a number. Falling back into the internal evaluator.
p21614
sasg13
V\u005cleft\u005c{1.,2.,3.,4.,5.,6.,7.\u005cright\u005c}
p21615
sg15
L4L
sass(g1693
g21205
g21582
L4L
tp21616
(dp21617
g6
VNIntegrate[1 / z, {z, -1 - I, 1 - I, 1 + I, -1 + I, -1 - I}, Tolerance->1.*^-4]
p21618
sg8
(lp21619
(dp21620
g11
(lp21621
(dp21622
g149
I01
sg150
VNIntegrate
p21623
sg152
Vcmpint
p21624
sg154
VNIntegrate::cmpint
p21625
sg156
VIntegration over a complex domain is not implemented yet
p21626
sasg13
V\u005ctext{NIntegrate}\u005cleft[\u005cfrac{1}{z},\u005cleft\u005c{z,-1-I,1-I,1+I,-1+I,-1-I\u005cright\u005c},\u005ctext{Tolerance}->0.0001\u005cright]
p21627
sg15
L5L
sass(g1693
g21205
g21582
L5L
tp21628
(dp21629
g6
VTable[ NIntegrate[x^(1./k-1.), {x,0,1.}, Tolerance->1*^-6], {k,1,7.} ]
p21630
sg8
(lp21631
(dp21632
g11
(lp21633
sg13
V\u005cleft\u005c{1.,2.,3.,4.,5.,6.,7.\u005cright\u005c}
p21634
sg15
L6L
sass(g1693
g21205
g21582
L6L
tp21635
(dp21636
g6
VNIntegrate[x * y,{x, 0, 1}, {y, 0, 1}]
p21637
sg8
(lp21638
(dp21639
g11
(lp21640
sg13
V0.25
p21641
sg15
L7L
sass(g1693
g21205
VNumericQ
p21642
L0L
tp21643
(dp21644
g6
VNumericQ[2]
p21645
sg8
(lp21646
(dp21647
g11
(lp21648
sg13
V\u005ctext{True}
p21649
sg15
L1L
sass(g1693
g21205
g21642
L1L
tp21650
(dp21651
g6
VNumericQ[Sqrt[Pi]]
p21652
sg8
(lp21653
(dp21654
g11
(lp21655
sg13
V\u005ctext{True}
p21656
sg15
L2L
sass(g1693
g21205
g21642
L2L
tp21657
(dp21658
g6
VNumberQ[Sqrt[Pi]]
p21659
sg8
(lp21660
(dp21661
g11
(lp21662
sg13
V\u005ctext{False}
p21663
sg15
L3L
sass(g1693
g21205
VPrecision
p21664
L0L
tp21665
(dp21666
g6
VPrecision[1]
p21667
sg8
(lp21668
(dp21669
g11
(lp21670
sg13
g165
sg15
L1L
sass(g1693
g21205
g21664
L1L
tp21671
(dp21672
g6
VPrecision[1/2]
p21673
sg8
(lp21674
(dp21675
g11
(lp21676
sg13
g165
sg15
L2L
sass(g1693
g21205
g21664
L2L
tp21677
(dp21678
g6
VPrecision[0.5]
p21679
sg8
(lp21680
(dp21681
g11
(lp21682
sg13
V\u005ctext{MachinePrecision}
p21683
sg15
L3L
sass(g1693
g21205
VRationalize
p21684
L0L
tp21685
(dp21686
g6
VRationalize[2.2]
p21687
sg8
(lp21688
(dp21689
g11
(lp21690
sg13
V\u005cfrac{11}{5}
p21691
sg15
L1L
sass(g1693
g21205
g21684
L1L
tp21692
(dp21693
g6
VRationalize[N[Pi]]
p21694
sg8
(lp21695
(dp21696
g11
(lp21697
sg13
V3.14159
p21698
sg15
L2L
sass(g1693
g21205
g21684
L2L
tp21699
(dp21700
g6
VRationalize[N[Pi], 0]
p21701
sg8
(lp21702
(dp21703
g11
(lp21704
sg13
V\u005cfrac{245850922}{78256779}
p21705
sg15
L3L
sass(g1693
g21205
VRealDigits
p21706
L0L
tp21707
(dp21708
g6
VRealDigits[123.55555]
p21709
sg8
(lp21710
(dp21711
g11
(lp21712
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}
p21713
sg15
L1L
sass(g1693
g21205
g21706
L1L
tp21714
(dp21715
g6
VRealDigits[0.000012355555]
p21716
sg8
(lp21717
(dp21718
g11
(lp21719
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}
p21720
sg15
L2L
sass(g1693
g21205
g21706
L2L
tp21721
(dp21722
g6
VRealDigits[-123.55555]
p21723
sg8
(lp21724
(dp21725
g11
(lp21726
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}
p21727
sg15
L3L
sass(g1693
g21205
g21706
L5L
tp21728
(dp21729
g6
VRealDigits[Pi, 10, 25]
p21730
sg8
(lp21731
(dp21732
g11
(lp21733
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}
p21734
sg15
L4L
sass(g1693
g21205
g21706
L7L
tp21735
(dp21736
g6
VRealDigits[19 / 7]
p21737
sg8
(lp21738
(dp21739
g11
(lp21740
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}
p21741
sg15
L5L
sass(g1693
g21205
g21706
L10L
tp21742
(dp21743
g6
VRealDigits[Pi, 10, 20, -5]
p21744
sg8
(lp21745
(dp21746
g11
(lp21747
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}
p21748
sg15
L6L
sass(g1693
g21205
g21706
L12L
tp21749
(dp21750
g6
VRealDigits[Pi, 10, 1, -10000]
p21751
sg8
(lp21752
(dp21753
g11
(lp21754
sg13
V\u005cleft\u005c{\u005cleft\u005c{8\u005cright\u005c},-9999\u005cright\u005c}
p21755
sg15
L7L
sass(g1693
g21205
g21706
L26L
tp21756
(dp21757
g6
VRealDigits[123.45, 10, 18]
p21758
sg8
(lp21759
(dp21760
g11
(lp21761
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}
p21762
sg15
L8L
sass(g1693
g21205
VRound
p21763
L0L
tp21764
(dp21765
g6
VRound[10.6]
p21766
sg8
(lp21767
(dp21768
g11
(lp21769
sg13
V11
p21770
sg15
L1L
sass(g1693
g21205
g21763
L1L
tp21771
(dp21772
g6
VRound[0.06, 0.1]
p21773
sg8
(lp21774
(dp21775
g11
(lp21776
sg13
V0.1
p21777
sg15
L2L
sass(g1693
g21205
g21763
L2L
tp21778
(dp21779
g6
VRound[0.04, 0.1]
p21780
sg8
(lp21781
(dp21782
g11
(lp21783
sg13
V0.
p21784
sg15
L3L
sass(g1693
g21205
g21763
L3L
tp21785
(dp21786
g6
VRound[Pi, .5]
p21787
sg8
(lp21788
(dp21789
g11
(lp21790
sg13
V3.
p21791
sg15
L4L
sass(g1693
g21205
g21763
L4L
tp21792
(dp21793
g6
VRound[Pi^2]
p21794
sg8
(lp21795
(dp21796
g11
(lp21797
sg13
V10
p21798
sg15
L5L
sass(g1693
g21205
g21763
L5L
tp21799
(dp21800
g6
VRound[2.6, 1/3]
p21801
sg8
(lp21802
(dp21803
g11
(lp21804
sg13
V\u005cfrac{8}{3}
p21805
sg15
L6L
sass(g1693
g21205
g21763
L6L
tp21806
(dp21807
g6
VRound[10, Pi]
p21808
sg8
(lp21809
(dp21810
g11
(lp21811
sg13
V3 \u005ctext{Pi}
p21812
sg15
L7L
sass(g1693
g21205
g21763
L7L
tp21813
(dp21814
g6
VRound[6/(2 + 3 I)]
p21815
sg8
(lp21816
(dp21817
g11
(lp21818
sg13
V1-I
p21819
sg15
L8L
sass(g1693
g21205
g21763
L8L
tp21820
(dp21821
g6
VRound[1 + 2 I, 2 I]
p21822
sg8
(lp21823
(dp21824
g11
(lp21825
sg13
V2 I
p21826
sg15
L9L
sass(g1693
g21205
g21763
L9L
tp21827
(dp21828
g6
VRound[-1.4]
p21829
sg8
(lp21830
(dp21831
g11
(lp21832
sg13
V-1
p21833
sg15
L10L
sass(g1693
g21205
g21763
L10L
tp21834
(dp21835
g6
VRound[x]
p21836
sg8
(lp21837
(dp21838
g11
(lp21839
sg13
V\u005ctext{Round}\u005cleft[x\u005cright]
p21840
sg15
L11L
sass(g1693
g21205
g21763
L11L
tp21841
(dp21842
g6
VRound[1.5, k]
p21843
sg8
(lp21844
(dp21845
g11
(lp21846
sg13
V\u005ctext{Round}\u005cleft[1.5,k\u005cright]
p21847
sg15
L12L
sass(g1693
VFile Operations
p21848
VAbsoluteFileName
p21849
L0L
tp21850
(dp21851
g6
VAbsoluteFileName["ExampleData/sunflowers.jpg"]
p21852
sg8
(lp21853
(dp21854
g11
(lp21855
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/sunflowers.jpg}
p21856
sg15
L1L
sass(g1693
g21848
VBinaryRead
p21857
L0L
tp21858
(dp21859
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21860
sg8
(lp21861
(dp21862
g11
(lp21863
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpw0d5xbj9},184\u005cright]
p21864
sg15
L1L
sass(g1693
g21848
g21857
L1L
tp21865
(dp21866
g6
VBinaryWrite[strm, {97, 98, 99}]
p21867
sg8
(lp21868
(dp21869
g11
(lp21870
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpw0d5xbj9},184\u005cright]
p21871
sg15
L2L
sass(g1693
g21848
g21857
L2L
tp21872
(dp21873
g6
VClose[strm]
p21874
sg8
(lp21875
(dp21876
g11
(lp21877
sg13
V\u005ctext{/tmp/tmpw0d5xbj9}
p21878
sg15
L3L
sass(g1693
g21848
g21857
L3L
tp21879
(dp21880
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21881
sg8
(lp21882
(dp21883
g11
(lp21884
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpw0d5xbj9},185\u005cright]
p21885
sg15
L4L
sass(g1693
g21848
g21857
L4L
tp21886
(dp21887
g6
VBinaryRead[strm, {"Character8", "Character8", "Character8"}]
p21888
sg8
(lp21889
(dp21890
g11
(lp21891
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c}\u005cright\u005c}
p21892
sg15
L5L
sass(g1693
g21848
g21857
L5L
tp21893
(dp21894
g6
VClose[strm];
p21895
sg8
(lp21896
(dp21897
g11
(lp21898
sg13
Nsg15
L6L
sass(g1693
g21848
VBinaryWrite
p21899
L0L
tp21900
(dp21901
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21902
sg8
(lp21903
(dp21904
g11
(lp21905
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpvlsfnnev},310\u005cright]
p21906
sg15
L1L
sass(g1693
g21848
g21899
L1L
tp21907
(dp21908
g6
VBinaryWrite[strm, {39, 4, 122}]
p21909
sg8
(lp21910
(dp21911
g11
(lp21912
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpvlsfnnev},310\u005cright]
p21913
sg15
L2L
sass(g1693
g21848
g21899
L2L
tp21914
(dp21915
g6
VClose[strm]
p21916
sg8
(lp21917
(dp21918
g11
(lp21919
sg13
V\u005ctext{/tmp/tmpvlsfnnev}
p21920
sg15
L3L
sass(g1693
g21848
g21899
L3L
tp21921
(dp21922
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21923
sg8
(lp21924
(dp21925
g11
(lp21926
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpvlsfnnev},311\u005cright]
p21927
sg15
L4L
sass(g1693
g21848
g21899
L4L
tp21928
(dp21929
g6
VBinaryRead[strm]
p21930
sg8
(lp21931
(dp21932
g11
(lp21933
sg13
V39
p21934
sg15
L5L
sass(g1693
g21848
g21899
L5L
tp21935
(dp21936
g6
VBinaryRead[strm, "Byte"]
p21937
sg8
(lp21938
(dp21939
g11
(lp21940
sg13
V4
p21941
sg15
L6L
sass(g1693
g21848
g21899
L6L
tp21942
(dp21943
g6
VBinaryRead[strm, "Character8"]
p21944
sg8
(lp21945
(dp21946
g11
(lp21947
sg13
V\u005ctext{z}
p21948
sg15
L7L
sass(g1693
g21848
g21899
L7L
tp21949
(dp21950
g6
VClose[strm];
p21951
sg8
(lp21952
(dp21953
g11
(lp21954
sg13
Nsg15
L8L
sass(g1693
g21848
g21899
L8L
tp21955
(dp21956
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p21957
sg8
(lp21958
(dp21959
g11
(lp21960
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpwa8dnmkd},312\u005cright]
p21961
sg15
L9L
sass(g1693
g21848
g21899
L9L
tp21962
(dp21963
g6
VBinaryWrite[strm, "abc123"]
p21964
sg8
(lp21965
(dp21966
g11
(lp21967
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpwa8dnmkd},312\u005cright]
p21968
sg15
L10L
sass(g1693
g21848
g21899
L10L
tp21969
(dp21970
g6
VClose[%]
p21971
sg8
(lp21972
(dp21973
g11
(lp21974
sg13
V\u005ctext{/tmp/tmpwa8dnmkd}
p21975
sg15
L11L
sass(g1693
g21848
g21899
L11L
tp21976
(dp21977
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21978
sg8
(lp21979
(dp21980
g11
(lp21981
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpwa8dnmkd},313\u005cright]
p21982
sg15
L12L
sass(g1693
g21848
g21899
L12L
tp21983
(dp21984
g6
VBinaryRead[strm, {"Character8", "Character8", "Character8", "Character8", "Character8", "Character8", "Character8"}]
p21985
sg8
(lp21986
(dp21987
g11
(lp21988
sg13
V\u005cleft\u005c{\u005ctext{a},\u005ctext{b},\u005ctext{c},\u005ctext{1},\u005ctext{2},\u005ctext{3},\u005ctext{EndOfFile}\u005cright\u005c}
p21989
sg15
L13L
sass(g1693
g21848
g21899
L13L
tp21990
(dp21991
g6
VClose[strm]
p21992
sg8
(lp21993
(dp21994
g11
(lp21995
sg13
V\u005ctext{/tmp/tmpwa8dnmkd}
p21996
sg15
L14L
sass(g1693
g21848
g21899
L14L
tp21997
(dp21998
g6
Vstrm = OpenRead[%, BinaryFormat -> True]
p21999
sg8
(lp22000
(dp22001
g11
(lp22002
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{/tmp/tmpwa8dnmkd},314\u005cright]
p22003
sg15
L15L
sass(g1693
g21848
g21899
L15L
tp22004
(dp22005
g6
VBinaryRead[strm, {"Byte", "Byte", "Byte", "Byte", "Byte", "Byte", "Byte"}]
p22006
sg8
(lp22007
(dp22008
g11
(lp22009
sg13
V\u005cleft\u005c{97,98,99,49,50,51,\u005ctext{EndOfFile}\u005cright\u005c}
p22010
sg15
L16L
sass(g1693
g21848
g21899
L16L
tp22011
(dp22012
g6
VClose[strm]
p22013
sg8
(lp22014
(dp22015
g11
(lp22016
sg13
V\u005ctext{/tmp/tmpwa8dnmkd}
p22017
sg15
L17L
sass(g1693
g21848
g21899
L17L
tp22018
(dp22019
g6
Vstrm = OpenWrite[BinaryFormat -> True]
p22020
sg8
(lp22021
(dp22022
g11
(lp22023
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpdlw7ttem},315\u005cright]
p22024
sg15
L18L
sass(g1693
g21848
g21899
L18L
tp22025
(dp22026
g6
VBinaryWrite[strm, 97, "Byte"]
p22027
sg8
(lp22028
(dp22029
g11
(lp22030
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpdlw7ttem},315\u005cright]
p22031
sg15
L19L
sass(g1693
g21848
g21899
L19L
tp22032
(dp22033
g6
VBinaryWrite[strm, {97, 98, 99}, {"Byte", "Byte", "Byte"}]
p22034
sg8
(lp22035
(dp22036
g11
(lp22037
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpdlw7ttem},315\u005cright]
p22038
sg15
L20L
sass(g1693
g21848
g21899
L20L
tp22039
(dp22040
g6
VClose[%]
p22041
sg8
(lp22042
(dp22043
g11
(lp22044
sg13
V\u005ctext{/tmp/tmpdlw7ttem}
p22045
sg15
L21L
sass(g1693
g21848
VClose
p22046
L0L
tp22047
(dp22048
g6
VClose[StringToStream["123abc"]]
p22049
sg8
(lp22050
(dp22051
g11
(lp22052
sg13
V\u005ctext{String}
p22053
sg15
L1L
sass(g1693
g21848
g22046
L1L
tp22054
(dp22055
g6
VClose[OpenWrite[]]
p22056
sg8
(lp22057
(dp22058
g11
(lp22059
sg13
V\u005ctext{/tmp/tmpy9lx4q3\u005c_}
p22060
sg15
L2L
sass(g1693
g21848
VCompress
p22061
L0L
tp22062
(dp22063
g6
VCompress[N[Pi, 10]]
p22064
sg8
(lp22065
(dp22066
g11
(lp22067
sg13
V\u005ctext{eJwz1jM0MTS1NDIzNQEADRsCNw==}
p22068
sg15
L1L
sass(g1693
g21848
VCopyFile
p22069
L0L
tp22070
(dp22071
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"]
p22072
sg8
(lp22073
(dp22074
g11
(lp22075
sg13
V\u005ctext{MathicsSunflowers.jpg}
p22076
sg15
L1L
sass(g1693
g21848
g22069
L1L
tp22077
(dp22078
g6
VDeleteFile["MathicsSunflowers.jpg"]
p22079
sg8
(lp22080
(dp22081
g11
(lp22082
sg13
Nsg15
L2L
sass(g1693
g21848
VCreateDirectory
p22083
L0L
tp22084
(dp22085
g6
Vdir = CreateDirectory[]
p22086
sg8
(lp22087
(dp22088
g11
(lp22089
sg13
V\u005ctext{/tmp/m2lkmc4en}
p22090
sg15
L1L
sass(g1693
g21848
VDeleteDirectory
p22091
L0L
tp22092
(dp22093
g6
Vdir = CreateDirectory[]
p22094
sg8
(lp22095
(dp22096
g11
(lp22097
sg13
V\u005ctext{/tmp/mt0j82pkn}
p22098
sg15
L1L
sass(g1693
g21848
g22091
L1L
tp22099
(dp22100
g6
VDeleteDirectory[dir]
p22101
sg8
(lp22102
(dp22103
g11
(lp22104
sg13
Nsg15
L2L
sass(g1693
g21848
g22091
L2L
tp22105
(dp22106
g6
VDirectoryQ[dir]
p22107
sg8
(lp22108
(dp22109
g11
(lp22110
sg13
V\u005ctext{False}
p22111
sg15
L3L
sass(g1693
g21848
VDeleteFile
p22112
L0L
tp22113
(dp22114
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"];
p22115
sg8
(lp22116
(dp22117
g11
(lp22118
sg13
Nsg15
L1L
sass(g1693
g21848
g22112
L1L
tp22119
(dp22120
g6
VDeleteFile["MathicsSunflowers.jpg"]
p22121
sg8
(lp22122
(dp22123
g11
(lp22124
sg13
Nsg15
L2L
sass(g1693
g21848
g22112
L2L
tp22125
(dp22126
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers1.jpg"];
p22127
sg8
(lp22128
(dp22129
g11
(lp22130
sg13
Nsg15
L3L
sass(g1693
g21848
g22112
L3L
tp22131
(dp22132
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers2.jpg"];
p22133
sg8
(lp22134
(dp22135
g11
(lp22136
sg13
Nsg15
L4L
sass(g1693
g21848
g22112
L4L
tp22137
(dp22138
g6
VDeleteFile[{"MathicsSunflowers1.jpg", "MathicsSunflowers2.jpg"}]
p22139
sg8
(lp22140
(dp22141
g11
(lp22142
sg13
Nsg15
L5L
sass(g1693
g21848
VDirectory
p22143
L0L
tp22144
(dp22145
g6
VDirectory[]
p22146
sg8
(lp22147
(dp22148
g11
(lp22149
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p22150
sg15
L1L
sass(g1693
g21848
VDirectoryName
p22151
L0L
tp22152
(dp22153
g6
VDirectoryName["a/b/c"]
p22154
sg8
(lp22155
(dp22156
g11
(lp22157
sg13
V\u005ctext{a/b}
p22158
sg15
L1L
sass(g1693
g21848
g22151
L1L
tp22159
(dp22160
g6
VDirectoryName["a/b/c", 2]
p22161
sg8
(lp22162
(dp22163
g11
(lp22164
sg13
V\u005ctext{a}
p22165
sg15
L2L
sass(g1693
g21848
VDirectoryQ
p22166
L0L
tp22167
(dp22168
g6
VDirectoryQ["ExampleData/"]
p22169
sg8
(lp22170
(dp22171
g11
(lp22172
sg13
V\u005ctext{True}
p22173
sg15
L1L
sass(g1693
g21848
g22166
L1L
tp22174
(dp22175
g6
VDirectoryQ["ExampleData/MythicalSubdir/"]
p22176
sg8
(lp22177
(dp22178
g11
(lp22179
sg13
V\u005ctext{False}
p22180
sg15
L2L
sass(g1693
g21848
VDirectoryStack
p22181
L0L
tp22182
(dp22183
g6
VDirectoryStack[]
p22184
sg8
(lp22185
(dp22186
g11
(lp22187
sg13
V\u005cleft\u005c{\u005ctext{/src/external-vcs/github/mathics/Mathics}\u005cright\u005c}
p22188
sg15
L1L
sass(g1693
g21848
VExpandFileName
p22189
L0L
tp22190
(dp22191
g6
VExpandFileName["ExampleData/sunflowers.jpg"]
p22192
sg8
(lp22193
(dp22194
g11
(lp22195
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/ExampleData/sunflowers.jpg}
p22196
sg15
L1L
sass(g1693
g21848
VFileBaseName
p22197
L0L
tp22198
(dp22199
g6
VFileBaseName["file.txt"]
p22200
sg8
(lp22201
(dp22202
g11
(lp22203
sg13
V\u005ctext{file}
p22204
sg15
L1L
sass(g1693
g21848
g22197
L1L
tp22205
(dp22206
g6
VFileBaseName["file.tar.gz"]
p22207
sg8
(lp22208
(dp22209
g11
(lp22210
sg13
V\u005ctext{file.tar}
p22211
sg15
L2L
sass(g1693
g21848
VFileByteCount
p22212
L0L
tp22213
(dp22214
g6
VFileByteCount["ExampleData/sunflowers.jpg"]
p22215
sg8
(lp22216
(dp22217
g11
(lp22218
sg13
V142286
p22219
sg15
L1L
sass(g1693
g21848
VFileDate
p22220
L0L
tp22221
(dp22222
g6
VFileDate["ExampleData/sunflowers.jpg"]
p22223
sg8
(lp22224
(dp22225
g11
(lp22226
sg13
V\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}
p22227
sg15
L1L
sass(g1693
g21848
g22220
L1L
tp22228
(dp22229
g6
VFileDate["ExampleData/sunflowers.jpg", "Access"]
p22230
sg8
(lp22231
(dp22232
g11
(lp22233
sg13
V\u005cleft\u005c{2121,4,4,8,50,39.9091\u005cright\u005c}
p22234
sg15
L2L
sass(g1693
g21848
g22220
L2L
tp22235
(dp22236
g6
VFileDate["ExampleData/sunflowers.jpg", "Creation"]
p22237
sg8
(lp22238
(dp22239
g11
(lp22240
sg13
V\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright]
p22241
sg15
L3L
sass(g1693
g21848
g22220
L3L
tp22242
(dp22243
g6
VFileDate["ExampleData/sunflowers.jpg", "Change"]
p22244
sg8
(lp22245
(dp22246
g11
(lp22247
sg13
V\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}
p22248
sg15
L4L
sass(g1693
g21848
g22220
L4L
tp22249
(dp22250
g6
VFileDate["ExampleData/sunflowers.jpg", "Modification"]
p22251
sg8
(lp22252
(dp22253
g11
(lp22254
sg13
V\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}
p22255
sg15
L5L
sass(g1693
g21848
g22220
L5L
tp22256
(dp22257
g6
VFileDate["ExampleData/sunflowers.jpg", "Rules"]
p22258
sg8
(lp22259
(dp22260
g11
(lp22261
sg13
V\u005cleft\u005c{\u005ctext{Access}->\u005cleft\u005c{2121,4,4,8,50,39.9091\u005cright\u005c},\u005ctext{Creation}->\u005ctext{Missing}\u005cleft[\u005ctext{NotApplicable}\u005cright],\u005ctext{Change}->\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c},\u005ctext{Modification}->\u005cleft\u005c{2120,9,7,7,16,33.2822\u005cright\u005c}\u005cright\u005c}
p22262
sg15
L6L
sass(g1693
g21848
VFileExistsQ
p22263
L0L
tp22264
(dp22265
g6
VFileExistsQ["ExampleData/sunflowers.jpg"]
p22266
sg8
(lp22267
(dp22268
g11
(lp22269
sg13
V\u005ctext{True}
p22270
sg15
L1L
sass(g1693
g21848
g22263
L1L
tp22271
(dp22272
g6
VFileExistsQ["ExampleData/sunflowers.png"]
p22273
sg8
(lp22274
(dp22275
g11
(lp22276
sg13
V\u005ctext{False}
p22277
sg15
L2L
sass(g1693
g21848
VFileExtension
p22278
L0L
tp22279
(dp22280
g6
VFileExtension["file.txt"]
p22281
sg8
(lp22282
(dp22283
g11
(lp22284
sg13
V\u005ctext{txt}
p22285
sg15
L1L
sass(g1693
g21848
g22278
L1L
tp22286
(dp22287
g6
VFileExtension["file.tar.gz"]
p22288
sg8
(lp22289
(dp22290
g11
(lp22291
sg13
V\u005ctext{gz}
p22292
sg15
L2L
sass(g1693
g21848
VFileHash
p22293
L0L
tp22294
(dp22295
g6
VFileHash["ExampleData/sunflowers.jpg"]
p22296
sg8
(lp22297
(dp22298
g11
(lp22299
sg13
V109937059621979839952736809235486742106
p22300
sg15
L1L
sass(g1693
g21848
g22293
L1L
tp22301
(dp22302
g6
VFileHash["ExampleData/sunflowers.jpg", "MD5"]
p22303
sg8
(lp22304
(dp22305
g11
(lp22306
sg13
V109937059621979839952736809235486742106
p22307
sg15
L2L
sass(g1693
g21848
g22293
L2L
tp22308
(dp22309
g6
VFileHash["ExampleData/sunflowers.jpg", "Adler32"]
p22310
sg8
(lp22311
(dp22312
g11
(lp22313
sg13
V1607049478
p22314
sg15
L3L
sass(g1693
g21848
g22293
L3L
tp22315
(dp22316
g6
VFileHash["ExampleData/sunflowers.jpg", "SHA256"]
p22317
sg8
(lp22318
(dp22319
g11
(lp22320
sg13
V111619807552579450300684600241129773909359865098672286468229443390003894913065
p22321
sg15
L4L
sass(g1693
g21848
VFileInformation
p22322
L0L
tp22323
(dp22324
g6
VFileInformation["ExampleData/sunflowers.jpg"]
p22325
sg8
(lp22326
(dp22327
g11
(lp22328
sg13
V\u005cleft\u005c{\u005ctext{File}->\u005ctext{/src/external-vcs/github/mathics/Mathics/ExampleData/sunflowers.jpg},\u005ctext{FileType}->\u005ctext{File},\u005ctext{ByteCount}->142286,\u005ctext{Date}->6.96413\u005ctimes 10^9\u005cright\u005c}
p22329
sg15
L1L
sass(g1693
g21848
VFileNameDepth
p22330
L0L
tp22331
(dp22332
g6
VFileNameDepth["a/b/c"]
p22333
sg8
(lp22334
(dp22335
g11
(lp22336
sg13
V3
p22337
sg15
L1L
sass(g1693
g21848
g22330
L1L
tp22338
(dp22339
g6
VFileNameDepth["a/b/c/"]
p22340
sg8
(lp22341
(dp22342
g11
(lp22343
sg13
V3
p22344
sg15
L2L
sass(g1693
g21848
VFileNameJoin
p22345
L0L
tp22346
(dp22347
g6
VFileNameJoin[{"dir1", "dir2", "dir3"}]
p22348
sg8
(lp22349
(dp22350
g11
(lp22351
sg13
V\u005ctext{dir1/dir2/dir3}
p22352
sg15
L1L
sass(g1693
g21848
g22345
L1L
tp22353
(dp22354
g6
VFileNameJoin[{"dir1", "dir2", "dir3"}, OperatingSystem -> "Unix"]
p22355
sg8
(lp22356
(dp22357
g11
(lp22358
sg13
V\u005ctext{dir1/dir2/dir3}
p22359
sg15
L2L
sass(g1693
g21848
g22345
L2L
tp22360
(dp22361
g6
VFileNameJoin[{"dir1", "dir2", "dir3"}, OperatingSystem -> "Windows"]
p22362
sg8
(lp22363
(dp22364
g11
(lp22365
sg13
V\u005ctext{dir1$\u005cbackslash$dir2$\u005cbackslash$dir3}
p22366
sg15
L3L
sass(g1693
g21848
VFileNameSplit
p22367
L0L
tp22368
(dp22369
g6
VFileNameSplit["example/path/file.txt"]
p22370
sg8
(lp22371
(dp22372
g11
(lp22373
sg13
V\u005cleft\u005c{\u005ctext{example},\u005ctext{path},\u005ctext{file.txt}\u005cright\u005c}
p22374
sg15
L1L
sass(g1693
g21848
VFileNames
p22375
L0L
tp22376
(dp22377
g6
VSetDirectory[$InstallationDirectory <> "/autoload"];
p22378
sg8
(lp22379
(dp22380
g11
(lp22381
sg13
Nsg15
L1L
sass(g1693
g21848
g22375
L1L
tp22382
(dp22383
g6
VFileNames["*.m", "formats"]//Length
p22384
sg8
(lp22385
(dp22386
g11
(lp22387
sg13
V0
p22388
sg15
L2L
sass(g1693
g21848
g22375
L2L
tp22389
(dp22390
g6
VFileNames["*.m", "formats", 3]//Length
p22391
sg8
(lp22392
(dp22393
g11
(lp22394
sg13
V12
p22395
sg15
L3L
sass(g1693
g21848
g22375
L3L
tp22396
(dp22397
g6
VFileNames["*.m", "formats", Infinity]//Length
p22398
sg8
(lp22399
(dp22400
g11
(lp22401
sg13
V12
p22402
sg15
L4L
sass(g1693
g21848
VFileType
p22403
L0L
tp22404
(dp22405
g6
VFileType["ExampleData/sunflowers.jpg"]
p22406
sg8
(lp22407
(dp22408
g11
(lp22409
sg13
V\u005ctext{File}
p22410
sg15
L1L
sass(g1693
g21848
g22403
L1L
tp22411
(dp22412
g6
VFileType["ExampleData"]
p22413
sg8
(lp22414
(dp22415
g11
(lp22416
sg13
V\u005ctext{Directory}
p22417
sg15
L2L
sass(g1693
g21848
g22403
L2L
tp22418
(dp22419
g6
VFileType["ExampleData/nonexistant"]
p22420
sg8
(lp22421
(dp22422
g11
(lp22423
sg13
V\u005ctext{None}
p22424
sg15
L3L
sass(g1693
g21848
VFind
p22425
L0L
tp22426
(dp22427
g6
Vstr = OpenRead["ExampleData/EinsteinSzilLetter.txt"];
p22428
sg8
(lp22429
(dp22430
g11
(lp22431
sg13
Nsg15
L1L
sass(g1693
g21848
g22425
L1L
tp22432
(dp22433
g6
VFind[str, "uranium"]
p22434
sg8
(lp22435
(dp22436
g11
(lp22437
sg13
V\u005ctext{in manuscript, leads me to expect that the element uranium may be turned into}
p22438
sg15
L2L
sass(g1693
g21848
g22425
L2L
tp22439
(dp22440
g6
VFind[str, "uranium"]
p22441
sg8
(lp22442
(dp22443
g11
(lp22444
sg13
V\u005ctext{become possible to set up a nuclear chain reaction in a large mass of uranium,}
p22445
sg15
L3L
sass(g1693
g21848
g22425
L3L
tp22446
(dp22447
g6
VClose[str]
p22448
sg8
(lp22449
(dp22450
g11
(lp22451
sg13
V\u005ctext{ExampleData/EinsteinSzilLetter.txt}
p22452
sg15
L4L
sass(g1693
g21848
g22425
L4L
tp22453
(dp22454
g6
Vstr = OpenRead["ExampleData/EinsteinSzilLetter.txt"];
p22455
sg8
(lp22456
(dp22457
g11
(lp22458
sg13
Nsg15
L5L
sass(g1693
g21848
g22425
L5L
tp22459
(dp22460
g6
VFind[str, {"energy", "power"} ]
p22461
sg8
(lp22462
(dp22463
g11
(lp22464
sg13
V\u005ctext{a new and important source of energy in the immediate future. Certain aspects}
p22465
sg15
L6L
sass(g1693
g21848
g22425
L6L
tp22466
(dp22467
g6
VFind[str, {"energy", "power"} ]
p22468
sg8
(lp22469
(dp22470
g11
(lp22471
sg13
V\u005ctext{by which vast amounts of power and large quantities of new radium-like}
p22472
sg15
L7L
sass(g1693
g21848
g22425
L7L
tp22473
(dp22474
g6
VClose[str]
p22475
sg8
(lp22476
(dp22477
g11
(lp22478
sg13
V\u005ctext{ExampleData/EinsteinSzilLetter.txt}
p22479
sg15
L8L
sass(g1693
g21848
VFindFile
p22480
L0L
tp22481
(dp22482
g6
VFindFile["ExampleData/sunflowers.jpg"]
p22483
sg8
(lp22484
(dp22485
g11
(lp22486
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/sunflowers.jpg}
p22487
sg15
L1L
sass(g1693
g21848
g22480
L1L
tp22488
(dp22489
g6
VFindFile["VectorAnalysis`"]
p22490
sg8
(lp22491
(dp22492
g11
(lp22493
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages/VectorAnalysis/Kernel/init.m}
p22494
sg15
L2L
sass(g1693
g21848
g22480
L2L
tp22495
(dp22496
g6
VFindFile["VectorAnalysis`VectorAnalysis`"]
p22497
sg8
(lp22498
(dp22499
g11
(lp22500
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages/VectorAnalysis/VectorAnalysis.m}
p22501
sg15
L3L
sass(g1693
g21848
VFindList
p22502
L0L
tp22503
(dp22504
g6
Vstr = FindList["ExampleData/EinsteinSzilLetter.txt", "uranium"];
p22505
sg8
(lp22506
(dp22507
g11
(lp22508
sg13
Nsg15
L1L
sass(g1693
g21848
g22502
L2L
tp22509
(dp22510
g6
VFindList["ExampleData/EinsteinSzilLetter.txt", "uranium", 1]
p22511
sg8
(lp22512
(dp22513
g11
(lp22514
sg13
V\u005cleft\u005c{\u005ctext{in manuscript, leads me to expect that the element uranium may be turned into}\u005cright\u005c}
p22515
sg15
L2L
sass(g1693
g21848
VGet
p22516
L0L
tp22517
(dp22518
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22519
sg8
(lp22520
(dp22521
g11
(lp22522
sg13
Nsg15
L1L
sass(g1693
g21848
g22516
L1L
tp22523
(dp22524
g6
VPut[x + y, filename]
p22525
sg8
(lp22526
(dp22527
g11
(lp22528
sg13
Nsg15
L2L
sass(g1693
g21848
g22516
L2L
tp22529
(dp22530
g6
VGet[filename]
p22531
sg8
(lp22532
(dp22533
g11
(lp22534
(dp22535
g149
I01
sg150
VSyntax
p22536
sg152
Vsntxf
p22537
sg154
VSyntax::sntxf
p22538
sg156
V"x" cannot be followed by "\u005ctext{ + }y" (line 1 of "/tmp/example_file").
p22539
sasg13
Nsg15
L3L
sass(g1693
g21848
g22516
L3L
tp22540
(dp22541
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22542
sg8
(lp22543
(dp22544
g11
(lp22545
sg13
Nsg15
L4L
sass(g1693
g21848
g22516
L4L
tp22546
(dp22547
g6
VPut[x + y, 2x^2 + 4z!, Cos[x] + I Sin[x], filename]
p22548
sg8
(lp22549
(dp22550
g11
(lp22551
sg13
Nsg15
L5L
sass(g1693
g21848
g22516
L5L
tp22552
(dp22553
g6
VGet[filename]
p22554
sg8
(lp22555
(dp22556
g11
(lp22557
(dp22558
g149
I01
sg150
VSyntax
p22559
sg152
g22537
sg154
VSyntax::sntxf
p22560
sg156
V"x" cannot be followed by "\u005ctext{ + }y" (line 1 of "/tmp/example_file").
p22561
sasg13
Nsg15
L6L
sass(g1693
g21848
g22516
L6L
tp22562
(dp22563
g6
VDeleteFile[filename]
p22564
sg8
(lp22565
(dp22566
g11
(lp22567
sg13
Nsg15
L7L
sass(g1693
g21848
V$HomeDirectory
p22568
L0L
tp22569
(dp22570
g6
V$HomeDirectory
p22571
sg8
(lp22572
(dp22573
g11
(lp22574
sg13
V\u005ctext{/home/rocky}
p22575
sg15
L1L
sass(g1693
g21848
V$InitialDirectory
p22576
L0L
tp22577
(dp22578
g6
V$InitialDirectory
p22579
sg8
(lp22580
(dp22581
g11
(lp22582
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics}
p22583
sg15
L1L
sass(g1693
g21848
V$Input
p22584
L0L
tp22585
(dp22586
g6
V$Input
p22587
sg8
(lp22588
(dp22589
g11
(lp22590
sg13
V\u005ctext{}
p22591
sg15
L1L
sass(g1693
g21848
V$InputFileName
p22592
L0L
tp22593
(dp22594
g6
V$InputFileName
p22595
sg8
(lp22596
(dp22597
g11
(lp22598
sg13
V\u005ctext{/tmp/example\u005c_file}
p22599
sg15
L1L
sass(g1693
g21848
VInputStream
p22600
L0L
tp22601
(dp22602
g6
Vstr = StringToStream["Mathics is cool!"]
p22603
sg8
(lp22604
(dp22605
g11
(lp22606
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},375\u005cright]
p22607
sg15
L1L
sass(g1693
g21848
g22600
L1L
tp22608
(dp22609
g6
VClose[str]
p22610
sg8
(lp22611
(dp22612
g11
(lp22613
sg13
V\u005ctext{String}
p22614
sg15
L2L
sass(g1693
g21848
V$InstallationDirectory
p22615
L0L
tp22616
(dp22617
g6
V$InstallationDirectory
p22618
sg8
(lp22619
(dp22620
g11
(lp22621
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics}
p22622
sg15
L1L
sass(g1693
g21848
VNeeds
p22623
L0L
tp22624
(dp22625
g6
VNeeds["VectorAnalysis`"]
p22626
sg8
(lp22627
(dp22628
g11
(lp22629
sg13
Nsg15
L1L
sass(g1693
g21848
VOpenAppend
p22630
L0L
tp22631
(dp22632
g6
VOpenAppend[]
p22633
sg8
(lp22634
(dp22635
g11
(lp22636
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpgt4epchm},385\u005cright]
p22637
sg15
L1L
sass(g1693
g21848
VOpenRead
p22638
L0L
tp22639
(dp22640
g6
VOpenRead["ExampleData/EinsteinSzilLetter.txt"]
p22641
sg8
(lp22642
(dp22643
g11
(lp22644
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{ExampleData/EinsteinSzilLetter.txt},391\u005cright]
p22645
sg15
L1L
sass(g1693
g21848
g22638
L2L
tp22646
(dp22647
g6
VOpenRead["https://raw.githubusercontent.com/mathics/Mathics/master/README.rst"]
p22648
sg8
(lp22649
(dp22650
g11
(lp22651
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{https://raw.githubusercontent.com/mathics/Mathics/master/README.rst},392\u005cright]
p22652
sg15
L2L
sass(g1693
g21848
g22638
L3L
tp22653
(dp22654
g6
VClose[%];
p22655
sg8
(lp22656
(dp22657
g11
(lp22658
sg13
Nsg15
L3L
sass(g1693
g21848
VOpenWrite
p22659
L0L
tp22660
(dp22661
g6
VOpenWrite[]
p22662
sg8
(lp22663
(dp22664
g11
(lp22665
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpsp5ry50z},396\u005cright]
p22666
sg15
L1L
sass(g1693
g21848
V$OperatingSystem
p22667
L0L
tp22668
(dp22669
g6
V$OperatingSystem
p22670
sg8
(lp22671
(dp22672
g11
(lp22673
sg13
V\u005ctext{Unix}
p22674
sg15
L1L
sass(g1693
g21848
VOutputStream
p22675
L0L
tp22676
(dp22677
g6
VOpenWrite[]
p22678
sg8
(lp22679
(dp22680
g11
(lp22681
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpczbyk9nl},399\u005cright]
p22682
sg15
L1L
sass(g1693
g21848
g22675
L1L
tp22683
(dp22684
g6
VClose[%]
p22685
sg8
(lp22686
(dp22687
g11
(lp22688
sg13
V\u005ctext{/tmp/tmpczbyk9nl}
p22689
sg15
L2L
sass(g1693
g21848
VParentDirectory
p22690
L0L
tp22691
(dp22692
g6
VParentDirectory[]
p22693
sg8
(lp22694
(dp22695
g11
(lp22696
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics}
p22697
sg15
L1L
sass(g1693
g21848
V$Path
p22698
L0L
tp22699
(dp22700
g6
V$Path
p22701
sg8
(lp22702
(dp22703
g11
(lp22704
sg13
V\u005cleft\u005c{\u005ctext{.},\u005ctext{/home/rocky},\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data},\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/packages}\u005cright\u005c}
p22705
sg15
L1L
sass(g1693
g21848
V$PathnameSeparator
p22706
L0L
tp22707
(dp22708
g6
V$PathnameSeparator
p22709
sg8
(lp22710
(dp22711
g11
(lp22712
sg13
V\u005ctext{/}
p22713
sg15
L1L
sass(g1693
g21848
VPut
p22714
L0L
tp22715
(dp22716
g6
VPut[40!, fortyfactorial]
p22717
sg8
(lp22718
(dp22719
g11
(lp22720
(dp22721
g149
I01
sg150
VGeneral
p22722
sg152
Vstream
p22723
sg154
VGeneral::stream
p22724
sg156
Vfortyfactorial is not string, InputStream[], or OutputStream[]
p22725
sasg13
V815915283247897734345611269596115894272000000000\u005ctext{>>}\u005ctext{fortyfactorial}
p22726
sg15
L1L
sass(g1693
g21848
g22714
L1L
tp22727
(dp22728
g6
Vfilename = $TemporaryDirectory <> "/fortyfactorial";
p22729
sg8
(lp22730
(dp22731
g11
(lp22732
sg13
Nsg15
L2L
sass(g1693
g21848
g22714
L2L
tp22733
(dp22734
g6
VPut[40!, filename]
p22735
sg8
(lp22736
(dp22737
g11
(lp22738
sg13
Nsg15
L3L
sass(g1693
g21848
g22714
L3L
tp22739
(dp22740
g6
VFilePrint[filename]
p22741
sg8
(lp22742
(dp22743
g11
(lp22744
(dp22745
g149
I00
sg156
V815915283247897734345611269596115894272000000000
p22746
sasg13
Nsg15
L4L
sass(g1693
g21848
g22714
L4L
tp22747
(dp22748
g6
VGet[filename]
p22749
sg8
(lp22750
(dp22751
g11
(lp22752
sg13
V815915283247897734345611269596115894272000000000
p22753
sg15
L5L
sass(g1693
g21848
g22714
L5L
tp22754
(dp22755
g6
VDeleteFile[filename]
p22756
sg8
(lp22757
(dp22758
g11
(lp22759
sg13
Nsg15
L6L
sass(g1693
g21848
g22714
L6L
tp22760
(dp22761
g6
Vfilename = $TemporaryDirectory <> "/fiftyfactorial";
p22762
sg8
(lp22763
(dp22764
g11
(lp22765
sg13
Nsg15
L7L
sass(g1693
g21848
g22714
L7L
tp22766
(dp22767
g6
VPut[10!, 20!, 30!, filename]
p22768
sg8
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(dp22770
g11
(lp22771
sg13
Nsg15
L8L
sass(g1693
g21848
g22714
L8L
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(dp22773
g6
VFilePrint[filename]
p22774
sg8
(lp22775
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g11
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(dp22778
g149
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sg156
V3628800
p22779
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g149
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V2432902008176640000
p22781
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g149
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V265252859812191058636308480000000
p22783
sasg13
Nsg15
L9L
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g21848
g22714
L9L
tp22784
(dp22785
g6
VDeleteFile[filename]
p22786
sg8
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(dp22788
g11
(lp22789
sg13
Nsg15
L10L
sass(g1693
g21848
g22714
L10L
tp22790
(dp22791
g6
Vfilename = $TemporaryDirectory <> "/example_file";
p22792
sg8
(lp22793
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g11
(lp22795
sg13
Nsg15
L11L
sass(g1693
g21848
g22714
L11L
tp22796
(dp22797
g6
VPut[x + y, 2x^2 + 4z!, Cos[x] + I Sin[x], filename]
p22798
sg8
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g11
(lp22801
sg13
Nsg15
L12L
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g21848
g22714
L12L
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(dp22803
g6
VFilePrint[filename]
p22804
sg8
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(dp22806
g11
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(dp22808
g149
I00
sg156
Vx\u005ctext{ + }y
p22809
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g149
I00
sg156
V2*x{}^{\u005cwedge}2\u005ctext{ + }4*z!
p22811
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g149
I00
sg156
V\u005ctext{Cos}\u005cleft[x\u005cright]\u005ctext{ + }I*\u005ctext{Sin}\u005cleft[x\u005cright]
p22813
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Nsg15
L13L
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g21848
g22714
L13L
tp22814
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g6
VDeleteFile[filename]
p22816
sg8
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(dp22818
g11
(lp22819
sg13
Nsg15
L14L
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g21848
VPutAppend
p22820
L0L
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g6
VPut[50!, "factorials"]
p22823
sg8
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(dp22825
g11
(lp22826
sg13
Nsg15
L1L
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g21848
g22820
L1L
tp22827
(dp22828
g6
VFilePrint["factorials"]
p22829
sg8
(lp22830
(dp22831
g11
(lp22832
(dp22833
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22834
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Nsg15
L2L
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g21848
g22820
L2L
tp22835
(dp22836
g6
VPutAppend[10!, 20!, 30!, "factorials"]
p22837
sg8
(lp22838
(dp22839
g11
(lp22840
sg13
Nsg15
L3L
sass(g1693
g21848
g22820
L3L
tp22841
(dp22842
g6
VFilePrint["factorials"]
p22843
sg8
(lp22844
(dp22845
g11
(lp22846
(dp22847
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22848
sa(dp22849
g149
I00
sg156
V3628800
p22850
sa(dp22851
g149
I00
sg156
V2432902008176640000
p22852
sa(dp22853
g149
I00
sg156
V265252859812191058636308480000000
p22854
sasg13
Nsg15
L4L
sass(g1693
g21848
g22820
L4L
tp22855
(dp22856
g6
V60! >>> "factorials"
p22857
sg8
(lp22858
(dp22859
g11
(lp22860
sg13
Nsg15
L5L
sass(g1693
g21848
g22820
L5L
tp22861
(dp22862
g6
VFilePrint["factorials"]
p22863
sg8
(lp22864
(dp22865
g11
(lp22866
(dp22867
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22868
sa(dp22869
g149
I00
sg156
V3628800
p22870
sa(dp22871
g149
I00
sg156
V2432902008176640000
p22872
sa(dp22873
g149
I00
sg156
V265252859812191058636308480000000
p22874
sa(dp22875
g149
I00
sg156
V8320987112741390144276341183223364380754172606361245952449277696409600000000000000
p22876
sasg13
Nsg15
L6L
sass(g1693
g21848
g22820
L6L
tp22877
(dp22878
g6
V"string" >>> factorials
p22879
sg8
(lp22880
(dp22881
g11
(lp22882
sg13
Nsg15
L7L
sass(g1693
g21848
g22820
L7L
tp22883
(dp22884
g6
VFilePrint["factorials"]
p22885
sg8
(lp22886
(dp22887
g11
(lp22888
(dp22889
g149
I00
sg156
V30414093201713378043612608166064768844377641568960512000000000000
p22890
sa(dp22891
g149
I00
sg156
V3628800
p22892
sa(dp22893
g149
I00
sg156
V2432902008176640000
p22894
sa(dp22895
g149
I00
sg156
V265252859812191058636308480000000
p22896
sa(dp22897
g149
I00
sg156
V8320987112741390144276341183223364380754172606361245952449277696409600000000000000
p22898
sa(dp22899
g149
I00
sg156
V"string"
p22900
sasg13
Nsg15
L8L
sass(g1693
g21848
VRead
p22901
L2L
tp22902
(dp22903
g6
Vstr = StringToStream["abc123"];
p22904
sg8
(lp22905
(dp22906
g11
(lp22907
sg13
Nsg15
L1L
sass(g1693
g21848
g22901
L3L
tp22908
(dp22909
g6
VRead[str, String]
p22910
sg8
(lp22911
(dp22912
g11
(lp22913
sg13
V\u005ctext{abc123}
p22914
sg15
L2L
sass(g1693
g21848
g22901
L6L
tp22915
(dp22916
g6
Vstr = StringToStream["abc 123"];
p22917
sg8
(lp22918
(dp22919
g11
(lp22920
sg13
Nsg15
L3L
sass(g1693
g21848
g22901
L7L
tp22921
(dp22922
g6
VRead[str, Word]
p22923
sg8
(lp22924
(dp22925
g11
(lp22926
sg13
V\u005ctext{abc}
p22927
sg15
L4L
sass(g1693
g21848
g22901
L8L
tp22928
(dp22929
g6
VRead[str, Word]
p22930
sg8
(lp22931
(dp22932
g11
(lp22933
sg13
V\u005ctext{123}
p22934
sg15
L5L
sass(g1693
g21848
g22901
L15L
tp22935
(dp22936
g6
Vstr = StringToStream["123, 4"];
p22937
sg8
(lp22938
(dp22939
g11
(lp22940
sg13
Nsg15
L6L
sass(g1693
g21848
g22901
L16L
tp22941
(dp22942
g6
VRead[str, Number]
p22943
sg8
(lp22944
(dp22945
g11
(lp22946
sg13
V123
p22947
sg15
L7L
sass(g1693
g21848
g22901
L17L
tp22948
(dp22949
g6
VRead[str, Number]
p22950
sg8
(lp22951
(dp22952
g11
(lp22953
sg13
V4
p22954
sg15
L8L
sass(g1693
g21848
g22901
L38L
tp22955
(dp22956
g6
Vstr = StringToStream["123 abc"];
p22957
sg8
(lp22958
(dp22959
g11
(lp22960
sg13
Nsg15
L9L
sass(g1693
g21848
g22901
L39L
tp22961
(dp22962
g6
VRead[str, {Number, Word}]
p22963
sg8
(lp22964
(dp22965
g11
(lp22966
sg13
V\u005cleft\u005c{123,\u005ctext{abc}\u005cright\u005c}
p22967
sg15
L10L
sass(g1693
g21848
g22901
L48L
tp22968
(dp22969
g6
Vstr = StringToStream["\u005c"Tengo una\u005cnvaca lechera.\u005c""]; Read[str]
p22970
sg8
(lp22971
(dp22972
g11
(lp22973
sg13
V\u005ctext{Tengo una\u005cnewline\u000avaca lechera.}
p22974
sg15
L11L
sass(g1693
g21848
VReadList
p22975
L0L
tp22976
(dp22977
g6
VReadList[StringToStream["a 1 b 2"], {Word, Number}]
p22978
sg8
(lp22979
(dp22980
g11
(lp22981
sg13
V\u005cleft\u005c{\u005cleft\u005c{\u005ctext{a},1\u005cright\u005c},\u005cleft\u005c{\u005ctext{b},2\u005cright\u005c}\u005cright\u005c}
p22982
sg15
L1L
sass(g1693
g21848
g22975
L1L
tp22983
(dp22984
g6
Vstr = StringToStream["\u005c"abc123\u005c""];
p22985
sg8
(lp22986
(dp22987
g11
(lp22988
sg13
Nsg15
L2L
sass(g1693
g21848
g22975
L2L
tp22989
(dp22990
g6
VReadList[str]
p22991
sg8
(lp22992
(dp22993
g11
(lp22994
sg13
V\u005cleft\u005c{\u005ctext{abc123}\u005cright\u005c}
p22995
sg15
L3L
sass(g1693
g21848
g22975
L3L
tp22996
(dp22997
g6
VInputForm[%]
p22998
sg8
(lp22999
(dp23000
g11
(lp23001
sg13
V\u005cleft\u005c{\u005ctext{"abc123"}\u005cright\u005c}
p23002
sg15
L4L
sass(g1693
g21848
VRenameFile
p23003
L0L
tp23004
(dp23005
g6
VCopyFile["ExampleData/sunflowers.jpg", "MathicsSunflowers.jpg"]
p23006
sg8
(lp23007
(dp23008
g11
(lp23009
sg13
V\u005ctext{MathicsSunflowers.jpg}
p23010
sg15
L1L
sass(g1693
g21848
g23003
L1L
tp23011
(dp23012
g6
VRenameFile["MathicsSunflowers.jpg", "MathicsSunnyFlowers.jpg"]
p23013
sg8
(lp23014
(dp23015
g11
(lp23016
sg13
V\u005ctext{MathicsSunnyFlowers.jpg}
p23017
sg15
L2L
sass(g1693
g21848
g23003
L2L
tp23018
(dp23019
g6
VDeleteFile["MathicsSunnyFlowers.jpg"]
p23020
sg8
(lp23021
(dp23022
g11
(lp23023
sg13
Nsg15
L3L
sass(g1693
g21848
VResetDirectory
p23024
L0L
tp23025
(dp23026
g6
VResetDirectory[]
p23027
sg8
(lp23028
(dp23029
g11
(lp23030
sg13
V\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/autoload}
p23031
sg15
L1L
sass(g1693
g21848
V$RootDirectory
p23032
L0L
tp23033
(dp23034
g6
V$RootDirectory
p23035
sg8
(lp23036
(dp23037
g11
(lp23038
sg13
V\u005ctext{/}
p23039
sg15
L1L
sass(g1693
g21848
VSetDirectory
p23040
L0L
tp23041
(dp23042
g6
VSetDirectory[]
p23043
sg8
(lp23044
(dp23045
g11
(lp23046
sg13
V\u005ctext{/home/rocky}
p23047
sg15
L1L
sass(g1693
g21848
VSetFileDate
p23048
L0L
tp23049
(dp23050
g6
Vtmpfilename = $TemporaryDirectory <> "/tmp0";
p23051
sg8
(lp23052
(dp23053
g11
(lp23054
sg13
Nsg15
L1L
sass(g1693
g21848
g23048
L1L
tp23055
(dp23056
g6
VClose[OpenWrite[tmpfilename]];
p23057
sg8
(lp23058
(dp23059
g11
(lp23060
sg13
Nsg15
L2L
sass(g1693
g21848
g23048
L2L
tp23061
(dp23062
g6
VSetFileDate[tmpfilename, {2002, 1, 1, 0, 0, 0.}, "Access"];
p23063
sg8
(lp23064
(dp23065
g11
(lp23066
sg13
Nsg15
L3L
sass(g1693
g21848
g23048
L3L
tp23067
(dp23068
g6
VFileDate[tmpfilename, "Access"]
p23069
sg8
(lp23070
(dp23071
g11
(lp23072
sg13
V\u005cleft\u005c{2002,1,1,0,0,0.\u005cright\u005c}
p23073
sg15
L4L
sass(g1693
g21848
VSetStreamPosition
p23074
L0L
tp23075
(dp23076
g6
Vstr = StringToStream["Mathics is cool!"]
p23077
sg8
(lp23078
(dp23079
g11
(lp23080
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},482\u005cright]
p23081
sg15
L1L
sass(g1693
g21848
g23074
L1L
tp23082
(dp23083
g6
VSetStreamPosition[str, 8]
p23084
sg8
(lp23085
(dp23086
g11
(lp23087
sg13
V8
p23088
sg15
L2L
sass(g1693
g21848
g23074
L2L
tp23089
(dp23090
g6
VRead[str, Word]
p23091
sg8
(lp23092
(dp23093
g11
(lp23094
sg13
V\u005ctext{is}
p23095
sg15
L3L
sass(g1693
g21848
g23074
L4L
tp23096
(dp23097
g6
VSetStreamPosition[str, Infinity]
p23098
sg8
(lp23099
(dp23100
g11
(lp23101
sg13
V16
p23102
sg15
L4L
sass(g1693
g21848
VSkip
p23103
L0L
tp23104
(dp23105
g6
Vstr = StringToStream["a b c d"];
p23106
sg8
(lp23107
(dp23108
g11
(lp23109
sg13
Nsg15
L1L
sass(g1693
g21848
g23103
L1L
tp23110
(dp23111
g6
VRead[str, Word]
p23112
sg8
(lp23113
(dp23114
g11
(lp23115
sg13
V\u005ctext{a}
p23116
sg15
L2L
sass(g1693
g21848
g23103
L2L
tp23117
(dp23118
g6
VSkip[str, Word]
p23119
sg8
(lp23120
(dp23121
g11
(lp23122
sg13
Nsg15
L3L
sass(g1693
g21848
g23103
L3L
tp23123
(dp23124
g6
VRead[str, Word]
p23125
sg8
(lp23126
(dp23127
g11
(lp23128
sg13
V\u005ctext{c}
p23129
sg15
L4L
sass(g1693
g21848
g23103
L5L
tp23130
(dp23131
g6
Vstr = StringToStream["a b c d"];
p23132
sg8
(lp23133
(dp23134
g11
(lp23135
sg13
Nsg15
L5L
sass(g1693
g21848
g23103
L6L
tp23136
(dp23137
g6
VRead[str, Word]
p23138
sg8
(lp23139
(dp23140
g11
(lp23141
sg13
V\u005ctext{a}
p23142
sg15
L6L
sass(g1693
g21848
g23103
L7L
tp23143
(dp23144
g6
VSkip[str, Word, 2]
p23145
sg8
(lp23146
(dp23147
g11
(lp23148
sg13
Nsg15
L7L
sass(g1693
g21848
g23103
L8L
tp23149
(dp23150
g6
VRead[str, Word]
p23151
sg8
(lp23152
(dp23153
g11
(lp23154
sg13
V\u005ctext{d}
p23155
sg15
L8L
sass(g1693
g21848
VStreamPosition
p23156
L0L
tp23157
(dp23158
g6
Vstr = StringToStream["Mathics is cool!"]
p23159
sg8
(lp23160
(dp23161
g11
(lp23162
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},491\u005cright]
p23163
sg15
L1L
sass(g1693
g21848
g23156
L1L
tp23164
(dp23165
g6
VRead[str, Word]
p23166
sg8
(lp23167
(dp23168
g11
(lp23169
sg13
V\u005ctext{Mathics}
p23170
sg15
L2L
sass(g1693
g21848
g23156
L2L
tp23171
(dp23172
g6
VStreamPosition[str]
p23173
sg8
(lp23174
(dp23175
g11
(lp23176
sg13
V7
p23177
sg15
L3L
sass(g1693
g21848
VStreams
p23178
L0L
tp23179
(dp23180
g6
VStreams[]
p23181
sg8
(lp23182
(dp23183
g11
(lp23184
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{/tmp/tmpe7j0xza7},384\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpgt4epchm},385\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/EinsteinSzilLetter.txt},389\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{/src/external-vcs/github/mathics/Mathics/mathics/data/ExampleData/EinsteinSzilLetter.txt},391\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpkr0dem3q},395\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpsp5ry50z},396\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},449\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},459\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},460\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},470\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},472\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},473\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},474\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},475\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},476\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},480\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},481\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},482\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},485\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},486\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},487\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},488\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},489\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},490\u005cright],\u005ctext{InputStream}\u005cleft[\u005ctext{String},491\u005cright],\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmpttogd2bq},492\u005cright]\u005cright\u005c}
p23185
sg15
L1L
sass(g1693
g21848
VStringToStream
p23186
L0L
tp23187
(dp23188
g6
Vstrm = StringToStream["abc 123"]
p23189
sg8
(lp23190
(dp23191
g11
(lp23192
sg13
V\u005ctext{InputStream}\u005cleft[\u005ctext{String},495\u005cright]
p23193
sg15
L1L
sass(g1693
g21848
V$TemporaryDirectory
p23194
L0L
tp23195
(dp23196
g6
V$TemporaryDirectory
p23197
sg8
(lp23198
(dp23199
g11
(lp23200
sg13
V\u005ctext{/tmp}
p23201
sg15
L1L
sass(g1693
g21848
VToFileName
p23202
L0L
tp23203
(dp23204
g6
VToFileName[{"dir1", "dir2"}, "file"]
p23205
sg8
(lp23206
(dp23207
g11
(lp23208
sg13
V\u005ctext{dir1/dir2/file}
p23209
sg15
L1L
sass(g1693
g21848
g23202
L1L
tp23210
(dp23211
g6
VToFileName["dir1", "file"]
p23212
sg8
(lp23213
(dp23214
g11
(lp23215
sg13
V\u005ctext{dir1/file}
p23216
sg15
L2L
sass(g1693
g21848
g23202
L2L
tp23217
(dp23218
g6
VToFileName[{"dir1", "dir2", "dir3"}]
p23219
sg8
(lp23220
(dp23221
g11
(lp23222
sg13
V\u005ctext{dir1/dir2/dir3}
p23223
sg15
L3L
sass(g1693
g21848
VUncompress
p23224
L0L
tp23225
(dp23226
g6
VCompress["Mathics is cool"]
p23227
sg8
(lp23228
(dp23229
g11
(lp23230
sg13
V\u005ctext{eJxT8k0sychMLlbILFZIzs/PUQIANFwF1w==}
p23231
sg15
L1L
sass(g1693
g21848
g23224
L1L
tp23232
(dp23233
g6
VUncompress[%]
p23234
sg8
(lp23235
(dp23236
g11
(lp23237
sg13
V\u005ctext{Mathics is cool}
p23238
sg15
L2L
sass(g1693
g21848
g23224
L2L
tp23239
(dp23240
g6
Va = x ^ 2 + y Sin[x] + 10 Log[15];
p23241
sg8
(lp23242
(dp23243
g11
(lp23244
sg13
Nsg15
L3L
sass(g1693
g21848
g23224
L3L
tp23245
(dp23246
g6
Vb = Compress[a];
p23247
sg8
(lp23248
(dp23249
g11
(lp23250
sg13
Nsg15
L4L
sass(g1693
g21848
g23224
L4L
tp23251
(dp23252
g6
VUncompress[b]
p23253
sg8
(lp23254
(dp23255
g11
(lp23256
sg13
Vx^2+y \u005ctext{Sin}\u005cleft[x\u005cright]+10 \u005ctext{Log}\u005cleft[15\u005cright]
p23257
sg15
L5L
sass(g1693
g21848
VWrite
p23258
L0L
tp23259
(dp23260
g6
Vstr = OpenWrite[]
p23261
sg8
(lp23262
(dp23263
g11
(lp23264
sg13
V\u005ctext{OutputStream}\u005cleft[\u005ctext{/tmp/tmp8q\u005c_up3hi},500\u005cright]
p23265
sg15
L1L
sass(g1693
g21848
g23258
L1L
tp23266
(dp23267
g6
VWrite[str, 10 x + 15 y ^ 2]
p23268
sg8
(lp23269
(dp23270
g11
(lp23271
sg13
Nsg15
L2L
sass(g1693
g21848
g23258
L2L
tp23272
(dp23273
g6
VWrite[str, 3 Sin[z]]
p23274
sg8
(lp23275
(dp23276
g11
(lp23277
sg13
Nsg15
L3L
sass(g1693
g21848
g23258
L3L
tp23278
(dp23279
g6
VClose[str]
p23280
sg8
(lp23281
(dp23282
g11
(lp23283
sg13
V\u005ctext{/tmp/tmp8q\u005c_up3hi}
p23284
sg15
L4L
sass(g1693
g21848
g23258
L4L
tp23285
(dp23286
g6
Vstr = OpenRead[%];
p23287
sg8
(lp23288
(dp23289
g11
(lp23290
sg13
Nsg15
L5L
sass(g1693
g21848
g23258
L5L
tp23291
(dp23292
g6
VReadList[str]
p23293
sg8
(lp23294
(dp23295
g11
(lp23296
sg13
V\u005cleft\u005c{10 x+15 y^2,3 \u005ctext{Sin}\u005cleft[z\u005cright]\u005cright\u005c}
p23297
sg15
L6L
sass(g1693
g21848
VWriteString
p23298
L0L
tp23299
(dp23300
g6
Vstr = OpenWrite[];
p23301
sg8
(lp23302
(dp23303
g11
(lp23304
sg13
Nsg15
L1L
sass(g1693
g21848
g23298
L1L
tp23305
(dp23306
g6
VWriteString[str, "This is a test 1"]
p23307
sg8
(lp23308
(dp23309
g11
(lp23310
sg13
Nsg15
L2L
sass(g1693
g21848
g23298
L2L
tp23311
(dp23312
g6
VWriteString[str, "This is also a test 2"]
p23313
sg8
(lp23314
(dp23315
g11
(lp23316
sg13
Nsg15
L3L
sass(g1693
g21848
g23298
L3L
tp23317
(dp23318
g6
VClose[str]
p23319
sg8
(lp23320
(dp23321
g11
(lp23322
sg13
V\u005ctext{/tmp/tmpcbncq4ih}
p23323
sg15
L4L
sass(g1693
g21848
g23298
L4L
tp23324
(dp23325
g6
VFilePrint[%]
p23326
sg8
(lp23327
(dp23328
g11
(lp23329
(dp23330
g149
I00
sg156
VThis is a test 1This is also a test 2
p23331
sasg13
Nsg15
L5L
sass(g1693
g21848
g23298
L5L
tp23332
(dp23333
g6
Vstr = OpenWrite[];
p23334
sg8
(lp23335
(dp23336
g11
(lp23337
sg13
Nsg15
L6L
sass(g1693
g21848
g23298
L6L
tp23338
(dp23339
g6
VWriteString[str, "This is a test 1", "This is also a test 2"]
p23340
sg8
(lp23341
(dp23342
g11
(lp23343
sg13
Nsg15
L7L
sass(g1693
g21848
g23298
L7L
tp23344
(dp23345
g6
VClose[str]
p23346
sg8
(lp23347
(dp23348
g11
(lp23349
sg13
V\u005ctext{/tmp/tmpqsd6kv7t}
p23350
sg15
L8L
sass(g1693
g21848
g23298
L8L
tp23351
(dp23352
g6
VFilePrint[%]
p23353
sg8
(lp23354
(dp23355
g11
(lp23356
(dp23357
g149
I00
sg156
VThis is a test 1This is also a test 2
p23358
sasg13
Nsg15
L9L
sass(g1693
VImporting and Exporting
p23359
VSystem`Convert`B64Dump`B64Decode
p23360
L0L
tp23361
(dp23362
g6
VSystem`Convert`B64Dump`B64Decode["R!="]
p23363
sg8
(lp23364
(dp23365
g11
(lp23366
(dp23367
g149
I01
sg150
VSystem`Convert`B64Dump`B64Decode
p23368
sg152
Vb64invalidstr
p23369
sg154
VSystem`Convert`B64Dump`B64Decode::b64invalidstr
p23370
sg156
VString "R!=" is not a valid b64 encoded string.
p23371
sasg13
V\u005ctext{\u005c$Failed}
p23372
sg15
L1L
sass(g1693
g23359
VSystem`Convert`B64Dump`B64Encode
p23373
L0L
tp23374
(dp23375
g6
VSystem`Convert`B64Dump`B64Encode["Hello world"]
p23376
sg8
(lp23377
(dp23378
g11
(lp23379
sg13
V\u005ctext{SGVsbG8gd29ybGQ=}
p23380
sg15
L1L
sass(g1693
g23359
g23373
L1L
tp23381
(dp23382
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23383
sg8
(lp23384
(dp23385
g11
(lp23386
sg13
V\u005ctext{Hello world}
p23387
sg15
L2L
sass(g1693
g23359
g23373
L2L
tp23388
(dp23389
g6
VSystem`Convert`B64Dump`B64Encode[Integrate[f[x],{x,0,2}]]
p23390
sg8
(lp23391
(dp23392
g11
(lp23393
sg13
V\u005ctext{SW50ZWdyYXRlW2ZbeF0sIHt4LCAwLCAyfV0=}
p23394
sg15
L3L
sass(g1693
g23359
g23373
L3L
tp23395
(dp23396
g6
VSystem`Convert`B64Dump`B64Decode[%]
p23397
sg8
(lp23398
(dp23399
g11
(lp23400
sg13
V\u005ctext{Integrate[f[x], \u005c{x, 0, 2\u005c}]}
p23401
sg15
L4L
sass(g1693
g23359
V$ExportFormats
p23402
L0L
tp23403
(dp23404
g6
V$ExportFormats
p23405
sg8
(lp23406
(dp23407
g11
(lp23408
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}
p23409
sg15
L1L
sass(g1693
g23359
VExportString
p23410
L0L
tp23411
(dp23412
g6
VExportString[{{1,2,3,4},{3},{2},{4}}, "CSV"]
p23413
sg8
(lp23414
(dp23415
g11
(lp23416
sg13
V\u005ctext{1,2,3,4\u005cnewline\u000a3,\u005cnewline\u000a2,\u005cnewline\u000a4,}
p23417
sg15
L1L
sass(g1693
g23359
g23410
L1L
tp23418
(dp23419
g6
VExportString[{1,2,3,4}, "CSV"]
p23420
sg8
(lp23421
(dp23422
g11
(lp23423
sg13
V\u005ctext{1,\u005cnewline\u000a2,\u005cnewline\u000a3,\u005cnewline\u000a4,}
p23424
sg15
L2L
sass(g1693
g23359
g23410
L2L
tp23425
(dp23426
g6
VExportString[Integrate[f[x],{x,0,2}], "SVG"]//Head
p23427
sg8
(lp23428
(dp23429
g11
(lp23430
sg13
V\u005ctext{String}
p23431
sg15
L3L
sass(g1693
g23359
VFileFormat
p23432
L0L
tp23433
(dp23434
g6
VFileFormat["ExampleData/sunflowers.jpg"]
p23435
sg8
(lp23436
(dp23437
g11
(lp23438
sg13
V\u005ctext{JPEG}
p23439
sg15
L1L
sass(g1693
g23359
g23432
L1L
tp23440
(dp23441
g6
VFileFormat["ExampleData/EinsteinSzilLetter.txt"]
p23442
sg8
(lp23443
(dp23444
g11
(lp23445
sg13
V\u005ctext{Text}
p23446
sg15
L2L
sass(g1693
g23359
g23432
L2L
tp23447
(dp23448
g6
VFileFormat["ExampleData/lena.tif"]
p23449
sg8
(lp23450
(dp23451
g11
(lp23452
sg13
V\u005ctext{TIFF}
p23453
sg15
L3L
sass(g1693
g23359
VImport
p23454
L6L
tp23455
(dp23456
g6
VImport["ExampleData/ExampleData.txt", "Elements"]
p23457
sg8
(lp23458
(dp23459
g11
(lp23460
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Lines},\u005ctext{Plaintext},\u005ctext{String},\u005ctext{Words}\u005cright\u005c}
p23461
sg15
L1L
sass(g1693
g23359
g23454
L7L
tp23462
(dp23463
g6
VImport["ExampleData/ExampleData.txt", "Lines"]
p23464
sg8
(lp23465
(dp23466
g11
(lp23467
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}
p23468
sg15
L2L
sass(g1693
g23359
g23454
L10L
tp23469
(dp23470
g6
VImport["ExampleData/colors.json"]
p23471
sg8
(lp23472
(dp23473
g11
(lp23474
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}
p23475
sg15
L3L
sass(g1693
g23359
V$ImportFormats
p23476
L0L
tp23477
(dp23478
g6
V$ImportFormats
p23479
sg8
(lp23480
(dp23481
g11
(lp23482
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}
p23483
sg15
L1L
sass(g1693
g23359
VImportString
p23484
L7L
tp23485
(dp23486
g6
Vstr = "Hello!\u005cn    This is a testing text\u005cn";
p23487
sg8
(lp23488
(dp23489
g11
(lp23490
sg13
Nsg15
L1L
sass(g1693
g23359
g23484
L8L
tp23491
(dp23492
g6
VImportString[str, "Elements"]
p23493
sg8
(lp23494
(dp23495
g11
(lp23496
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Lines},\u005ctext{Plaintext},\u005ctext{String},\u005ctext{Words}\u005cright\u005c}
p23497
sg15
L2L
sass(g1693
g23359
g23484
L9L
tp23498
(dp23499
g6
VImportString[str, "Lines"]
p23500
sg8
(lp23501
(dp23502
g11
(lp23503
sg13
V\u005cleft\u005c{\u005ctext{Hello!},\u005ctext{    This is a testing text}\u005cright\u005c}
p23504
sg15
L3L
sass(g1693
g23359
VImportExport`RegisterExport
p23505
L0L
tp23506
(dp23507
g6
VExampleExporter1[filename_, data_, opts___] := Module[{strm = OpenWrite[filename], char = data}, WriteString[strm, char]; Close[strm]]
p23508
sg8
(lp23509
(dp23510
g11
(lp23511
sg13
Nsg15
L1L
sass(g1693
g23359
g23505
L1L
tp23512
(dp23513
g6
VImportExport`RegisterExport["ExampleFormat1", ExampleExporter1]
p23514
sg8
(lp23515
(dp23516
g11
(lp23517
sg13
Nsg15
L2L
sass(g1693
g23359
g23505
L2L
tp23518
(dp23519
g6
VExport["sample.txt", "Encode this string!", "ExampleFormat1"];
p23520
sg8
(lp23521
(dp23522
g11
(lp23523
sg13
Nsg15
L3L
sass(g1693
g23359
g23505
L3L
tp23524
(dp23525
g6
VFilePrint["sample.txt"]
p23526
sg8
(lp23527
(dp23528
g11
(lp23529
(dp23530
g149
I00
sg156
VEncode this string!
p23531
sasg13
Nsg15
L4L
sass(g1693
g23359
g23505
L5L
tp23532
(dp23533
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]]
p23534
sg8
(lp23535
(dp23536
g11
(lp23537
sg13
Nsg15
L5L
sass(g1693
g23359
g23505
L6L
tp23538
(dp23539
g6
VImportExport`RegisterExport["ExampleFormat2", ExampleExporter2]
p23540
sg8
(lp23541
(dp23542
g11
(lp23543
sg13
Nsg15
L6L
sass(g1693
g23359
g23505
L7L
tp23544
(dp23545
g6
VExport["sample.txt", "encodethisstring", "ExampleFormat2"];
p23546
sg8
(lp23547
(dp23548
g11
(lp23549
sg13
Nsg15
L7L
sass(g1693
g23359
g23505
L8L
tp23550
(dp23551
g6
VFilePrint["sample.txt"]
p23552
sg8
(lp23553
(dp23554
g11
(lp23555
(dp23556
g149
I00
sg156
Vrapbqrguvffgevat
p23557
sasg13
Nsg15
L8L
sass(g1693
g23359
VImportExport`RegisterImport
p23558
L0L
tp23559
(dp23560
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}]
p23561
sg8
(lp23562
(dp23563
g11
(lp23564
sg13
Nsg15
L1L
sass(g1693
g23359
g23558
L1L
tp23565
(dp23566
g6
VImportExport`RegisterImport["ExampleFormat1", ExampleFormat1Import]
p23567
sg8
(lp23568
(dp23569
g11
(lp23570
sg13
Nsg15
L2L
sass(g1693
g23359
g23558
L2L
tp23571
(dp23572
g6
VFilePrint["ExampleData/ExampleData.txt"]
p23573
sg8
(lp23574
(dp23575
g11
(lp23576
(dp23577
g149
I00
sg156
VExample File Format
p23578
sa(dp23579
g149
I00
sg156
VCreated by Angus
p23580
sa(dp23581
g149
I00
sg156
V0.629452	0.586355
p23582
sa(dp23583
g149
I00
sg156
V0.711009	0.687453
p23584
sa(dp23585
g149
I00
sg156
V0.246540	0.433973
p23586
sa(dp23587
g149
I00
sg156
V0.926871	0.887255
p23588
sa(dp23589
g149
I00
sg156
V0.825141	0.940900
p23590
sa(dp23591
g149
I00
sg156
V0.847035	0.127464
p23592
sa(dp23593
g149
I00
sg156
V0.054348	0.296494
p23594
sa(dp23595
g149
I00
sg156
V0.838545	0.247025
p23596
sa(dp23597
g149
I00
sg156
V0.838697	0.436220
p23598
sa(dp23599
g149
I00
sg156
V0.309496	0.833591
p23600
sasg13
Nsg15
L3L
sass(g1693
g23359
g23558
L3L
tp23601
(dp23602
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat1", "Elements"}]
p23603
sg8
(lp23604
(dp23605
g11
(lp23606
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Header}\u005cright\u005c}
p23607
sg15
L4L
sass(g1693
g23359
g23558
L4L
tp23608
(dp23609
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat1", "Header"}]
p23610
sg8
(lp23611
(dp23612
g11
(lp23613
sg13
V\u005cleft\u005c{\u005ctext{Example File Format},\u005ctext{Created by Angus}\u005cright\u005c}
p23614
sg15
L5L
sass(g1693
g23359
g23558
L5L
tp23615
(dp23616
g6
VExampleFormat2DefaultImport[filename_String] := Module[{stream, head}, stream = OpenRead[filename]; head = ReadList[stream, String, 2]; Close[stream]; {"Header" -> head}]
p23617
sg8
(lp23618
(dp23619
g11
(lp23620
sg13
Nsg15
L6L
sass(g1693
g23359
g23558
L6L
tp23621
(dp23622
g6
VExampleFormat2DataImport[filename_String] := Module[{stream, data}, stream = OpenRead[filename]; Skip[stream, String, 2]; data = Partition[ReadList[stream, Number], 2]; Close[stream]; {"Data" -> data}]
p23623
sg8
(lp23624
(dp23625
g11
(lp23626
sg13
Nsg15
L7L
sass(g1693
g23359
g23558
L7L
tp23627
(dp23628
g6
VImportExport`RegisterImport["ExampleFormat2", {"Data" :> ExampleFormat2DataImport, ExampleFormat2DefaultImport}]
p23629
sg8
(lp23630
(dp23631
g11
(lp23632
sg13
Nsg15
L8L
sass(g1693
g23359
g23558
L8L
tp23633
(dp23634
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Elements"}]
p23635
sg8
(lp23636
(dp23637
g11
(lp23638
sg13
V\u005cleft\u005c{\u005ctext{Data},\u005ctext{Header}\u005cright\u005c}
p23639
sg15
L9L
sass(g1693
g23359
g23558
L9L
tp23640
(dp23641
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Header"}]
p23642
sg8
(lp23643
(dp23644
g11
(lp23645
sg13
V\u005cleft\u005c{\u005ctext{Example File Format},\u005ctext{Created by Angus}\u005cright\u005c}
p23646
sg15
L10L
sass(g1693
g23359
g23558
L10L
tp23647
(dp23648
g6
VImport["ExampleData/ExampleData.txt", {"ExampleFormat2", "Data"}] // Grid
p23649
sg8
(lp23650
(dp23651
g11
(lp23652
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}
p23653
sg15
L11L
sass.