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Documentation

Mathematica

The Mathematica Book

The Mathematica Book, version 5.0

Browsable Index

!@# 0 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

\S (TeX), \[Section] (), 996

\[SadSmiley] (), 995, 1393

Same expressions, testing for, Equal (==), 85, 1135

SameQ (===), 268, 346, 347, 1028, 1270

\[Sampi] (), 990, 1393

Sample points, for inequalities, FindInstance, 838, 1147

Sampled sounds, 172

SampleDepth, 566, 1270

SampledSoundFunction, 566, 1270

SampledSoundList, 566, 1270

SampleRate, 172, 1270

Sampling, of Mathematica, 3

Sampling in plots, PlotPoints, 137, 1243

Sandwich naming scheme, for executables, 677

SAT problem, FindInstance, 845, 1147

Satisfiability, FindInstance, 845, 1147

of inequalities, FindInstance, 838, 1147

Satisfies, \[DoubleRightTee] (), 1001

Satisfying criterion, picking elements, Select, 251, 1273

Saturation, of colors, 500

Save, automatic for notebooks, NotebookAutoSave, 618, 1222

Save, 204, 624, 625, 1271

Save notebook, NotebookSave, 591, 1225

Saving, definitions, Save, 204, 624, 1271

dependencies, 625

expressions, Put (>>), 624, 1253

intermediate values, 315

local variables, 383

the complete state of Mathematica, DumpSave, 627, 1129

\sb (TeX), SubscriptBox, 445, 1295

Scalable Vector Graphics, exporting, Export, 568, 1141

Scalar multiplication, 121

Scalar product, Dot (.), 118, 119, 901, 1127

Scalars, 118, 899

Scaled, 505, 531, 1271

Scaled coordinates, 505, 531

Scales, on axes, Ticks, 134, 512, 552, 1305

Scaling, of color values, ColorFunctionScaling, 517, 1106

Scan, 247, 1271

and Throw, 350

levels in, 1041

Scatter plot, ListPlot, 158, 1202

Schrodinger equation, in periodic potential, MathieuS, 789, 1207

SchurDecomposition, 915, 1271

implementation of, 1069

Scientific notation, 29, 34, 729, 1021

ScientificForm, 435, 1272

Scope, of assumptions, Assuming, 818, 1084

of Throw, 351

Scoping, 112

dynamic, Block, 391, 1091

in pure functions, 385

lexical, Module, 391, 1213

of graphics directives, 499

of names, 378, 392

of pattern variables, 263

of variables, 378

Scoping constructs, 386

tracing, 364

Scratch files, 629

Scratch mark (#), Slot, 249, 1284

Scream, \[FreakedSmiley] (), 995

Screen density, GrayLevel, 499, 1165

ImageResolution, 569, 1174

Screen entry, 176

Screen sizes, 620

ScreenStyleEnvironment, 197, 602, 618, 1272

Script boxes, 445

Script files, 38, 623

ScriptA, 992

\[ScriptA] (), 993, 1393

ScriptBaselineShifts, 457, 1272

\[ScriptCapitalA] (), 993, 1393

\[ScriptCapitalE] (), 192, 992

\[ScriptCapitalH] (), 992

\[ScriptCapitalL] (), 992

\[ScriptCapitalZ] (), 993, 1393

\[ScriptL] (), 192, 992

ScriptMinSize, 457, 1272

Scripts, for front end, FrontEndTokenExecute, 593

Scripts (packages), 59

\scriptscriptstyle (TeX), ScriptSizeMultipliers, 457, 1272

ScriptSizeMultipliers, 457, 1272

\scriptstyle (TeX), ScriptSizeMultipliers, 457, 1272

\[ScriptZ] (), 993, 1393

Scroll notebook, SelectionMove, 582, 1275

Scrolling back, 38

sdb, 691

SDTS importing, Import, 208, 1176

Seams between polygons in three dimensions, EdgeForm, 528, 1130

Search, for files, FileNames, 638, 1145

for parts, Position, 124, 261, 1247

for substrings, StringPosition, 409, 1292

in notebooks, NotebookFind, 584, 1223

Search path, context, $ContextPath, 394, 1327

for files, $Path, 206, 637, 1335

Searching, for sublists, ReplaceList, 263, 302, 1263

in files, FindList, 207, 650, 1147

in strings, 654

IntervalMemberQ, 741, 1184

\searrow (TeX), \[LowerRightArrow] (), 1006

Sec, 761, 1273

Secant method, FindRoot, 1068, 1149

Sech, 761, 1273

Second, Date, 709, 1117

Timing, 711, 1306

Seconds, \[DoublePrime] (), 996

Section, Module, 378, 1213

\[Section] (), 996, 1393

Section style, 573

Sections, in notebooks, 51

numbering of, 202

Security, Protect, 321, 1044, 1252

ReadProtected, 330, 1258

Seeding of random generator, SeedRandom, 748, 1273

SeedRandom, 747, 748, 1273

Seek, in files, SetStreamPosition, 653, 1279

in MathLink , MLSeekMark(), 693, 1350

in notebooks, NotebookFind, 584, 1223

Segments, of circles, Disk, 496, 1125

Select, 251, 261, 284, 1273

Selectability, of windows, WindowClickSelect, 620, 1321

Selectable, 448, 607, 619, 1273

Selected notebook, setting, SetSelectedNotebook, 591, 1279

SelectedNotebook, 579, 1273

Selecting sublists, ReplaceList, 263, 302, 1263

Selection, highlighting, ShowSelection, 619, 1281

in notebooks, 581

in two-dimensional expressions, 180

SelectionAnimate, 588, 617, 1274

SelectionCreateCell, 588, 1274

SelectionEvaluate, 588, 1274

SelectionEvaluateCreateCell, 588, 1274

SelectionMove, 582, 1275

\[SelectionPlaceholder] (), 199, 587, 1008, 1393

Selector, part, Part, 117, 1238

Self-intersection, of polygons, 495

Self-similar, DigitCount, 756, 1123

Semi-algebraic sets, Reduce, 845, 1261

Semi-inverse, PseudoInverse, 914, 1252

Semi-log plots, LogPlot, 168

Semicolon, at end of line, 43, 75

CompoundExpression (;), 43, 111, 1029, 1111

Sending, notebooks to the front end, NotebookPut, 578, 1224

Sensitive dependence on initial conditions, 979

Sentences, reading, 647

Separation, of colors for printing, 564

Separator, vertical, \[VerticalSeparator] (), 1001

Separators, for records, RecordSeparators, 646, 1259

for words, WordSeparators, 646, 1323

in number output, NumberSeparator, 436, 1229

in tables, RowLines, 446, 1268

Sequence, of boxes, RowBox, 445, 1267

Range, 119, 1255

Sequence, 258, 671, 1275

preventing use, SequenceHold, 340, 1276

Sequence equations, RSolve, 891, 1269

Sequence of calculations, in notebooks, 51

Sequence of elements, extracting from lists, Part, 41, 1238

Take, 123, 287, 1301

Sequence specifications, 408, 1040

SequenceForm, 434, 1275

SequenceHold, 329, 340, 1045, 1276

Sequences, in patterns, 1050

List, 40, 1199

of commands, 43

of letters, CharacterRange, 413, 417, 1102

summation of, Sum, 83, 890, 1296

Sequent, \[RightTee] (), 1001

Sequential reading from files, Read, 650, 1257

Sequential searching, Find, 652, 1146

Serial lines, 27

Serial number, for streams, 631

for symbols, 381

of computer, $MachineID, 718, 1331

Series, solving for coefficients in, SolveAlways, 833, 1285

summation of, Sum, 890, 1296

Series, 94, 883, 884, 1276

implementation of, 1071

Series expansions, Series, 94, 883, 1276

SeriesCoefficient, 889, 1276

SeriesData, 885, 1276

Server, Mathematica, 47

Service loop, MLMain(), 679, 1347

Session, saving a complete, DumpSave, 627, 1129

$SessionID, 384, 716, 1337

Sessions, 26, 1055

communicating between, 680

controlling in MathLink, 685

in book, xv

main loop in, 702, 1056

terminating, 706

uniqueness of symbols between different, 383

SessionTime, 710, 1277

Set (=), 39, 66, 303, 305, 307, 311, 1029, 1051, 1277

scoping in, 386

Set difference, \[Backslash] (), 1002

Set operations, input of, 183, 1002

SetAccuracy, 736, 1277

SetAttributes, 271, 328, 1277

SetDelayed (:=), 110, 311, 1029, 1051, 1278

SetDirectory, 206, 636, 1278

SetFileDate, 641, 1278

\setminus (TeX), \[Backslash] (), 1002

SetOptions, 144, 581, 635, 1040, 1278

SetPrecision, 736, 1278

setrgbcolor PostScript command, 563

Sets, complements of, Complement, 127, 1109

difference between, Complement, 127, 1109

intersection of, Intersection, 127, 1184

lists as, 126

union of, Union, 127, 1315

Sets of numbers, 73, 817, 839

SetSelectedNotebook, 591, 1279

SetStreamPosition, 653, 655, 1279

Setting up Mathematica, 26

Setting values, Set (=), 39, 1277

\sf (TeX), FontFamily, 444, 612, 1151

SGML names for characters, 174, 982, 1353

\[SHacek] (), 998, 1393

Shading, Lighting, 526, 1194

of surfaces, 156, 542

Shading, 151, 155, 1279

Shading models, 544

Shadowing of names, 395

in packages, 59, 396

Shallow, 431, 432, 1279

Shape, of arrays, Dimensions, 120, 916, 1124

of plots, AspectRatio, 134, 509, 1084

of three-dimensional plots, 531

of two-dimensional plots, AspectRatio, 163, 1084

Shape fixed, AspectRatioFixed, 616, 1084

Share, 714, 1279

share directory, $BaseDirectory, 637, 1325

Shared data, 1066

Shared styles, 603

\[Sharp] (), 996, 1393

Sharp (#), Slot, 249, 1284

Sheets, Riemann, 762

Sheffer stroke, Nand, 87, 1215

\[VerticalBar] (), 1005

Shell, Unix, 204

Shell command, Run, 629, 1269

Shell escapes, 629, 1038

Shell type, $OperatingSystem, 717, 1334

Shell variables, Environment, 716, 1134

Shift, in box, BoxBaselineShift, 455

RotateLeft, 127, 291, 1266

Shift JIS, 421

Shift map, 979

Shift-Control-Enter, 181

Shift-Enter, 49, 181

Shifting graphics objects, Offset, 507, 1230

Shiny surfaces, 547

Short, 75, 431, 1280

short C type, 678

Short characters, 998

Short names, conventions for, 1353

Shortcuts, user-defined, InputAutoReplacements, 613, 1179

Shortening lists, Delete, 125, 288, 1119

Shortest form, Simplify, 68, 813, 1282

\[ShortLeftArrow] (), 1006, 1394

\[ShortRightArrow] (), 1006, 1394

Show, 139, 151, 173, 487, 1280

options for, 134, 151, 489

Show Expression menu item, 427, 572, 600

Show Ruler menu item, 605

ShowAnimation, 170

ShowAutoStyles, 613, 1280

ShowCellBracket, 604, 1280

ShowCellLabel, 607, 1280

ShowCellTags, 607, 1280

ShowContents, 455

ShowCursorTracker, 613, 1072, 1281

Showing files, 204, 623

ShowPageBreaks, 577, 618, 1281

ShowSelection, 619, 1281

ShowSpecialCharacters, 613, 1281

ShowStringCharacters, 613, 1281

Shriek, Factorial (!), 31, 757, 1143

Shut notebook, NotebookClose, 591, 1222

Side effects, of Random, $RandomState, 748, 1336

Sigma, versus summation sign, 185

\[Sigma] (), 175, 990, 1394

Sign, 745, 813, 1281

Signal processing, ListConvolve, 937, 1200

ZTransform, 879, 1325

Signalling a process, $ProcessID, 716, 1336

Signals, Fourier transforms of, 936

sound, 171

Signature, 757, 760, 920, 1282

Significance arithmetic, 740

Significant figures, 33, 727

in output, 435

Signing off from Mathematica, Quit, 28, 1057, 1254

SignPadding, 436, 1282

Signum, Sign, 745, 1281

Silent operation, 43, 74

\sim (TeX), \[Tilde] (), 1003

\simeq (TeX), \[TildeEqual] (), 1003

Similarity, \[Tilde] (), 1003

Similarity transformation, Eigenvectors, 121, 910, 1131

JordanDecomposition, 915, 1190

SchurDecomposition, 915, 1271

Simplest forms, Simplify, 68, 1282

Simplex algorithm, LinearProgramming, 1068, 1195

Minimize, 1070, 1212

Simplicity, definition of, ComplexityFunction, 815, 1110

Simplification, adding your own rules for, 281

algebraic, 63

algebraic, Simplify, 68, 813, 1282

as interpretation of evaluation, 324

of Boolean expressions, LogicalExpand, 87, 1203

of powers, PowerExpand, 72, 1248

of special functions, FullSimplify, 792, 1159

of square roots, PowerExpand, 72, 1248

of square roots, Simplify, 72, 1282

Simplify, 68, 69, 72, 73, 813, 815, 1282

implementation of, 1070

Simplifying radicals, RootReduce, 826, 1266

Simulated annealing, NMaximize, 1219, 1220

Simultaneous equations, 89, 828

eliminating variables in, Eliminate, 832, 1132

ways to present, 829

Sin, 31, 761, 1282

manipulation of, 811

Since, \[Because] (), 1001