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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

C, 93, 871, 1095

C code, 46

C language, 84, 87, 213, 224

         efficiency of, Compile, 213, 1109

         formatting in, 433

         generating output for, CForm, 213, 1101

         iteration in, 112

         logical expressions in, 347

         loops in, 352

         number format in, 644

         variables in, 392

C output, defining, 474

C program interface, 657

C programs, splicing Mathematica output into, Splice, 214, 1288

C prototypes, 677

C source code, 667

         portability of, 677

Caches, in notebook files, 578

Caching, by Mathematica, 711

         of function values, 314

\[CAcute] (), 998, 1355

CAD, CylindricalDecomposition, 847, 1117

         exporting for, Export, 569, 1141

         importing from, Import, 570, 1176

Cages, in three-dimensional graphics, FaceGrids, 553, 1142

\cal (TeX), ScriptA, 992

Calculations, input of, 26

         limits on size of, 75

         messages produced during each, MessageList, 481, 1211

         re-running, 48

Calculator, Mathematica as, 4

Calculator mode, 29

Calculus, differential, D, 80, 853, 1117

         Fundamental Theorem of, 866

         integral, Integrate, 81, 859, 1182

Calligraphic characters, 992

Calling Mathematica from external programs, 663

CallPacket, 687, 700

Calls to functions, tracing of, Trace, 357, 1310

Camera position, ViewPoint, 152, 532, 1319

Cancel, 69, 802, 810, 1095

Cancellations, between approximate real numbers, 735

Canonical form, JordanDecomposition, 915, 1190

         reduction of expressions to, 325

Canonical order, Sort, 127, 129, 1286

Cantor-Zassenhaus algorithm, Factor, 1069, 1143

\[Cap] (), 1002, 1355

\cap (TeX), \[Intersection] (), 1002, 1184

Cap product, \[Cap] (), 1002

Cap symbol, \[Intersection] (), 1002, 1184

Capital letters, 31, 40, 413

         advantages of, 35

\[CapitalAAcute] (), 998, 1355

\[CapitalABar] (), 998, 1356

\[CapitalACup] (), 998, 1356

\[CapitalADoubleDot] (), 190, 998, 1356

\[CapitalAE] (), 998, 1356

\[CapitalAGrave] (), 998, 1356

\[CapitalAHat] (), 998, 1356

\[CapitalAlpha] (), 984, 990, 1356

\[CapitalARing] (), 190, 984, 998, 1356

\[CapitalATilde] (), 998, 1356

\[CapitalBeta] (), 990, 1356

\[CapitalCAcute] (), 998, 1356

\[CapitalCCedilla] (), 998, 1356

\[CapitalCHacek] (), 998, 1356

\[CapitalChi] (), 175, 990, 1356

\[CapitalDelta] (), 175, 990, 1356

\[CapitalDifferentialD] (), 994, 1357

\[CapitalDigamma] (), 990, 1357

\[CapitalEAcute] (), 998, 1357

\[CapitalEBar] (), 998, 1357

\[CapitalECup] (), 998, 1357

\[CapitalEDoubleDot] (), 998, 1357

\[CapitalEGrave] (), 998, 1357

\[CapitalEHat] (), 998, 1357

\[CapitalEpsilon] (), 990, 1357

\[CapitalEta] (), 990, 1357

\[CapitalEth] (), 998, 1357

\[CapitalGamma] (), 175, 990, 1357

\[CapitalIAcute] (), 998, 1357

\[CapitalICup] (), 998, 1357

\[CapitalIDoubleDot] (), 998, 1357

\[CapitalIGrave] (), 998, 1357

\[CapitalIHat] (), 998, 1358

\[CapitalIota] (), 990, 1358

\[CapitalKappa] (), 990, 1358

\[CapitalKoppa] (), 990, 1358

\[CapitalLambda] (), 175, 990, 1358

\[CapitalLSlash] (), 998, 1358

\[CapitalMu] (), 990, 1358

\[CapitalNTilde] (), 998, 1358

\[CapitalNu] (), 990, 1358

\[CapitalOAcute] (), 998, 1358

\[CapitalODoubleAcute] (), 998, 1358

\[CapitalODoubleDot] (), 190, 998, 1358

\[CapitalOGrave] (), 998, 1358

\[CapitalOHat] (), 998, 1358

\[CapitalOmega] (), 175, 990, 1358

\[CapitalOmicron] (), 990, 1358

\[CapitalOSlash] (), 984, 998, 1358

\[CapitalOTilde] (), 998, 1359

\[CapitalPhi] (), 175, 990, 1359

\[CapitalPi] (), 175, 984, 990, 1359

\[CapitalPsi] (), 175, 990, 1359

\[CapitalRho] (), 990, 1359

\[CapitalSampi] (), 990, 1359

\[CapitalSHacek] (), 998, 1359

\[CapitalSigma] (), 175, 984, 990, 1359

\[CapitalStigma] (), 990, 1359

\[CapitalTau] (), 990, 1359

\[CapitalTheta] (), 175, 990, 1359

\[CapitalThorn] (), 998, 1359

\[CapitalUAcute] (), 998, 1359

\[CapitalUDoubleAcute] (), 998, 1359

\[CapitalUDoubleDot] (), 190, 998, 1359

\[CapitalUGrave] (), 998, 1359

\[CapitalUHat] (), 998, 1359

\[CapitalUpsilon] (), 175, 990, 1360

\[CapitalXi] (), 175, 990, 1360

\[CapitalYAcute] (), 998, 1360

\[CapitalZeta] (), 990, 1360

Captions, in tables, TableHeadings, 443, 1300

Capturing images, Import, 570, 1176

Cardano's formula, 820

Cards, suits of, 996

Caret, double, 725

         Power (^), 29, 1248

         \[Wedge] (), 1002

CarmichaelLambda, 752, 1096

Carry, add without, BitXor, 756, 1090

Cartesian coordinates, 97

Cartesian form, 813

Cartesian products, Outer, 902, 1234

CAs, CellularAutomaton, 942, 1101

Cascade, FoldList, 243, 1151

Cascade hyperons, 991

Case independence, in string operations, 410

Case sensitivity, 31, 40, 1014

         in string matching, 412

Cases, Switch, 345, 1298

Cases, 261, 284, 1096

         level specification in, 262, 1041

\cases (TeX), GridBox, 445, 1167

Cat, example of image processing, 9

cat Unix command, 630

Catalan, 765, 1096

         implementation of, 1067

Catalan beta function, LerchPhi, 773, 1193

Catalan constant, Catalan, 765, 1096

Catalan numbers, 757

Catalog, Names, 403, 1215

Catastrophe theory, GroebnerBasis, 805, 1168

Catch, 350, 1096

Catching, of aborts, CheckAbort, 371, 1103

\catcode (TeX), ToCharacterCode, 417, 1307

Catenating lists, Join, 126, 1190

Catenating strings, StringJoin (<>), 407, 1291

Cauchy principal value, PrincipalValue, 866, 1251

Cauchy's Theorem, 955

         residues for, 895

Causal signals, UnitStep, 879, 1316

\[CCedilla] (), 190, 998, 1360

cd, SetDirectory, 206, 636, 1278

CD players, 172

CDF, inverse, Quantile, 925, 1253

CDF, 794, 795

\cdot (TeX), \[CenterDot] (), 1002

\cdots (TeX), \[CenterEllipsis] (), 997

cdr, Rest, 123, 1264

\[Cedilla] (), 999, 1360

Ceiling, 745, 1096

         implementation of, 1067

Cell, 572, 599, 1097

Cell array, Raster, 492, 497, 1255

Cell brackets, 49

         ShowCellBracket, 604, 1280

CellArray (Version 1 function), see Raster, 1402

CellAutoOverwrite, 608, 1097

CellBaseline, 605, 1097

CellContents, 582

CellDingbat, 604, 1098

CellEditDuplicate, 607, 1098

CellElementSpacings, 605

CellEvaluationDuplicate, 608, 1098

CellFrame, 574, 604, 1098

CellFrameMargins, 605, 1098

CellGroup, 582

CellGroupData, 600, 1098

CellGrouping, 577, 618, 1099

CellLabel, 584, 607, 1099

CellLabelAutoDelete, 607, 1099

CellMargins, 605, 1099

CellOpen, 604, 1099

CellPrint, 575, 1100

Cells, active, 54

         adding new, CellPrint, 575, 1100

         as Mathematica expressions, 572

         entering raw form of, 572

         groups of, 51

         in notebooks, 49

         in solution sets, 846

         initialization, 205

         labels for, 50

         options for, 574

         styles of, 52

CellStyle, 584

CellTags, 574, 584, 607, 1100

Cellular automata, vii

         programs for, 18

         Random, 1067, 1254

CellularAutomaton, 942, 944, 945, 946, 949, 1101

         implementation of, 1069

\[Cent] (), 994, 1360

Center, 442, 450

\[CenterDot] (), 985, 1002, 1360

\centerdot (TeX), \[CenterDot] (), 1002

\[CenterEllipsis] (), 997, 1360

Centering, in tables, TableForm, 442, 1299

         of text, TextJustification, 610, 1303

         of three-dimensional image, ViewCenter, 534, 1318

         of three-dimensional object, SphericalRegion, 536, 1287

         of three-dimensional object, ViewCenter, 534, 1318

Central Limit Theorem, 794

Central moments, CharacteristicFunction, 795

Central value, Median, 109, 924, 1209

CForm, 213, 425, 1101

\[CHacek] (), 190, 998, 1360

Chain rule, 80, 855

Chains of assignments, 313

Change directory, SetDirectory, 206, 636, 1278

Changes, since earlier editions, 1402

Changing parts, of lists, 285

         of lists, ReplacePart, 125, 288, 1263

Channels, for output, 633, 705

Chaos theory, 979

Chaotic attractor, solving equations for, 968

Chapters, in notebooks, 51

\char (TeX), FromCharacterCode, 417, 1157

char * C type, 679

Character, end-of-file, 706

Character, 582, 646, 1101

Character codes, 417

         in MathLink, 679

Character encoding, in MathLink, 679

Character names, conventions for, 985, 1352

Character sets, $CharacterEncoding, 420, 1327

Character strings, 406, 1017

CharacterEncoding, 421, 422, 634, 1102

$CharacterEncoding, 420, 421, 422, 1327

Characteristic function, UnitStep, 879, 1316

CharacteristicFunction, 794, 795

CharacteristicPolynomial, 905, 910, 1102

CharacterRange, 413, 417, 418, 1102

Characters, extensible, 456

         minimum size of, ScriptMinSize, 457, 1272

         number in output lines, PageWidth, 634, 1237

         on keyboard, xv

         reading from files, 646

         replacement of, StringReplace, 410, 1292

         searching for, StringPosition, 409, 1292

         sizes of in graphics, 558

         special, 414

         tests on, 413

Characters, 412, 1102

Chasing method, NDSolve, 1068, 1216

Chebyshev functions, ChebyshevT, 778, 1102

ChebyshevT, 766, 768, 778, 1102

ChebyshevU, 766, 1102

Check, \[Hacek] (), 999

Check, 481, 482, 742, 1102

CheckAbort, 371, 1103

Checkpointing, DumpSave, 627, 1129

         NotebookAutoSave, 618, 1222

Chemical formulas, formatting of, ScriptBaselineShifts, 457, 1272

\[Chi] (), 175, 990, 1360

Chi squared, minimization of, Fit, 929, 1149

Child processes, in MathLink, LinkLaunch, 683, 1197

Chinese characters, 419

Chinese Remainder Theorem, Det, 1069, 1122

Chirp Z transform, ZTransform, 879, 1325

ChiSquareDistribution, 794

CholeskyDecomposition, 914, 1103

Choose, Binomial, 757, 1089

         Which, 345, 1320

\choose (TeX), GridBox, 445, 1167

Choose elements, Select, 251, 1273

Chop, 730, 904, 1103

Chudnovsky formula, Pi, 1067, 1241

\circ (TeX), \[EmptySmallCircle] (), 995

Circle, 492, 496, 1103

\[CircleDot] (), 1002, 1360

\circledR (TeX), \[RegisteredTrademark] (), 996

\[CircleMinus] (), 1002, 1360

\[CirclePlus] (), 191, 471, 1002, 1361

\[CircleTimes] (), 191, 1002, 1361

Circulant matrix multiplication, ListConvolve, 937, 1200

Circular definitions, 369

Circular functions, 31, 761

         conversions to exponentials, TrigToExp, 71, 812, 1314

Circular partitioning, Partition, 293, 938, 1240

Circumflex, 998

Circumscribing sphere, SphericalRegion, 536, 1287

Citations, iv

CJK characters, 421

Classes of expressions, 259

Classical notation, TraditionalForm, 193, 1313

Clausen function, PolyLog, 772, 1246

Cleaning up, Remove, 404, 1261

Cleaning up expressions, Simplify, 68, 1282

Clear, 39, 110, 304, 307, 331, 395, 403, 1052, 1103

ClearAll, 331, 1052, 1104

ClearAttributes, 271, 328, 1104

Clearing errors, in MathLink , MLClearError(), 696, 1341

Clearing symbols, Remove, 1052, 1261

Clearing values, Unset (=.), 1052, 1316

ClebschGordan, 760, 1104

         implementation of, 1067

Click-to-type, WindowClickSelect, 620, 1321

Clickable elements, ButtonBox, 448, 595, 1092

Clicks, $TimeUnit, 710, 1338

Client-server computing, 47, 224, 686

ClipFill, 540, 1104

Clipping, in three-dimensional graphics, 530

         in two-dimensional graphics, 507

         of sound, 172

         of surfaces, 540

Clobbering files, DeleteFile, 641, 1120

Clock, Date, 709, 1117

\[ClockwiseContourIntegral] (), 1000, 1361

Close, link, LinkClose, 680, 1196

Close, 632, 649, 652, 1104

Close notebook, NotebookClose, 591, 1222

Closed cell groups, 52

Closed-form solutions, 79

         to differential equations, DSolve, 872, 1129

         to Diophantine equations, 843

Closer, spacing characters, 1008

Closing Mathematica, Quit, 28, 1057, 1254

Closure operator, in patterns, 277

\[CloverLeaf] (), 1009, 1361

\[ClubSuit] (), 996, 1361

CMYKColor, 563, 1105

CNF, LogicalExpand, 87, 1203

Code, compiled, 376

         in text, 196

         of Mathematica, 224

         replacement in, With, 380, 1323

         variables local to part of, 392

Code generation, in C, CForm, 213, 1101

         in Fortran, FortranForm, 213, 1153

         Splice, 214, 1288

Codes, for characters, 417

Coefficient, 73, 74, 799, 1105

CoefficientArrays, 922, 1105

CoefficientList, 799, 1105

Coefficients, domain of, Extension, 809, 1142

         in power series, SeriesCoefficient, 889, 1276

         input of numerical, 1032

Cofactors, Minors, 905, 1212

Collapse, levels in lists, Transpose, 918, 1313

Collating, of strings, Sort, 411, 1286

         Sort, 255, 1286

Collatz.m example of package, 399

Collect, 70, 71, 797, 799, 1106

Collecting expressions, Reap, 355, 1259

Collecting terms, Collect, 71, 1106

         Together, 70, 802, 1308

Collections, List, 40, 115, 1199

Collins-Hong algorithm, CylindricalDecomposition, 1070, 1117

Collins-Krandick algorithm, Root, 1070, 1265

\[Colon] (), 1001, 1361

Colon equals (:=), SetDelayed, 311, 1278

Colon operator, Pattern (:), 263, 1240

Color, default in plot, DefaultColor, 504, 1118

         details of output of, 563

         device dependence of, 563

         displaying of, 563

         in plots, 500

         in three-dimensional graphics, 526

         intrinsic of materials, 547

         of curves, PlotStyle, 500, 1244

         of lines, PlotStyle, 138, 1244

         of surfaces, 155, 542

         of text, FontColor, 444, 612, 1151

         of three-dimensional graphics, 544

         printing of, 563

         specification of, 499

Color map, ColorFunction, 498, 517, 542, 1106

Color separation, for color printing, 564

Color wheel, Hue, 500, 1171

ColorFunction, 147, 148, 151, 498, 517, 542, 1106

ColorFunctionScaling, 517, 1106

Colorizing, of input, ShowAutoStyles, 613, 1280

ColorOutput, 564, 1106

Column, 441

Column vectors, 119

Column-major output order, 441

ColumnAlignments, 449, 1107

ColumnForm, 416, 437, 1107

ColumnLines, 446, 449, 1107

Columns, alignment of numbers in, PaddedForm, 440, 1235

         assigning values to, 899

         extracting in matrices, 898

         of matrices, Part, 120, 1238

         of numbers, 438

         resetting, 126, 286

ColumnsEqual, 449, 1108

ColumnSpacings, 449, 1108

ColumnWidths, 449, 1108

Combinations, Minors, 905, 1212

Combinations of tests, 347

Combinatorial algorithms, LatticeReduce, 754, 1191

Combinatorial explosion, Simplify, 69, 1282

Combinatorial functions, 757

Combinatorial simplification, FullSimplify, 813, 1159

Combining lists, Union, 126, 1315

Combining plots, 516

Combining radicals, RootReduce, 826, 1266

Combining surfaces, 539

Comma, invisible, \[InvisibleComma] (), 1008

Comma-separated values, exporting, Export, 208, 642, 1141

         importing, Import, 208, 642, 1176

Command key, \[CloverLeaf] (), 1009

Command language, external, $OperatingSystem, 717, 1334

Command-,, 62

Command-line arguments, for MathLink programs, 690

         in MathLink, 698

Command-line interface, 27, 48

Command-line options, 1055

\[CommandKey] (), 1009, 1361

$CommandLine, 716, 1327

Commands, 232

         alphabetical listing of all built-in, 1073

         defining, 110

         external, 628

         in front end, FrontEndTokenExecute, 593

         naming of, 35, 1039

         re-executing, 702

Commas, in output of numbers, 436

Comments, 467, 484, 1022

Commercial notation, 996

Common denominator, LCM, 749, 1192

         Together, 802, 1308

Common factors, Cancel, 802, 1095

         pulling out, FactorTerms, 797, 1144

Common roots in polynomials, Resultant, 805, 1264

Common subexpressions, sharing, Share, 714, 1279

Communication, with external programs, 215, 628, 657

Commutative functions, 326

         in patterns, 270

Commutativity, 254

         in pattern matching, 261

Compact disc players, 172

Compacting expressions, Share, 714, 1279

Compatibility, binary, $SystemID, 717, 1338

         for .mx files, 627

         of character encodings, 421

         of Mathematica, 46

Compilation, Compile, 213, 1109

         of expressions, Compile, 372, 1109

         of functions in plots, 138

         types in, 374

Compile, 213, 372, 376, 1109

Compiled, 138, 147, 149, 373, 1109

Compiled code, manipulation of, 376

Compiled functions, 372

Compiled languages, variables in, 392

CompiledFunction, 252, 376, 566, 1109

Compiling MathLink programs, 661

Complement, 127, 1109

Complete elliptic integrals, 783

Complete simplification, FullSimplify, 813, 1159

Complex, 722, 1017, 1109

Complex conjugate, Conjugate, 34, 746, 1111

Complex exponentials, 762

         conversion of, ExpToTrig, 71, 812, 1141

Complex functions, branch cuts in, 762

         residues of, 895

Complex integers, 750, 751

Complex numbers, 34

         arguments of, Arg, 34, 746, 1083

         as coefficients in polynomials, 807

         functions of, 746

         in MathLink , MLGetRealArray(), 675, 1346

         infinite, 743

         length of, Abs, 34, 746, 1075

         patterns for, 279

         precision of, 723

         roots of, 763

Complex powers, conversion of, ExpToTrig, 812, 1141

Complex systems research, vii

Complex variables, equations in, Reduce, 843, 1261

         expressions involving, 72, 812

Complexes, 817, 839, 1110

ComplexExpand, 71, 812, 1110

ComplexInfinity, 743, 1110

Complexity, generation of, 980

ComplexityFunction, 815, 1110

Component, Mathematica as a software, 20

Compose (Version 1 function), see Composition, 1402

ComposeList, 250, 1110

ComposeSeries, 887, 1110

Composition, as example of upvalues, 335

         functional, ComposeList, 250, 1110

         functional, Nest, 241, 1217

         \[SmallCircle] (), 1002

Composition, 253, 1111

Compound arguments, reducing in special functions, FunctionExpand, 792, 1159

Compound expressions, 43, 112, 352

Compound operators, 468

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

Compress in APL, Select, 251, 1273

Computation, as interpretation of evaluation, 324

Computational complexity theory, 76

Computed goto, Throw, 351, 1304

Computer languages, traditional, 36

Computer systems, limitations of, 77

         running MathLink programs on different, 676

         support on different, 46

Computer-aided design, exporting for, Export, 569, 1141

         importing from, Import, 570, 1176

Concatenate, boxes, RowBox, 445, 1267

Concatenating lists, Join, 126, 1190

Concatenating strings, StringJoin (<>), 407, 1291

Concurrent Mathematica sessions, 657, 680

Condensed style environment, 197, 603

Condition (/;), 265, 345, 379, 1028, 1111

Condition codes, 61, 479

         handling of, 481

Condition number of matrices, LUDecomposition, 914, 1203

         SingularValueList, 913, 1283

Conditionals, 345

         If, 87, 1173

Conditions, in patterns, Condition (/;), 265, 1111

         in rules, Condition (/;), 265, 1111

         local variables in, 379

         on parameters, Assumptions, 867, 1084

         symbolic, 346

         tracing of, Trace, 359, 1310

Conditions, 265

Confidence intervals, 109

         InverseErf, 775, 1185

         Quantile, 795, 1253

Configuration files, 1063

Conflicts, between symbols of the same name, 378

Confluent hypergeometric function, Hypergeometric1F1, 779, 1171

Confusion, of characters, 984

\cong (TeX), \[TildeFullEqual] (), 1003

\[Congruent] (), 191, 1003, 1361

Conical functions, LegendreP, 778, 1192

Conjugate, 34, 746, 813, 1111

Conjugation, Not (!), 87, 1221

Conjunction, And (&&), 87, 1079

Conjunctive normal form, LogicalExpand, 87, 1203

Connect link, LinkConnect, 680, 1197

Connected components, in solution sets, 846

Consistency, in Mathematica language, 37

         of equations, 830

         of linear systems, 909

Constant, 329, 854, 1044, 1111

Constant functions in differentiation, 855

Constants, local, With, 380, 1323

         mathematical, 32, 765, 1044

         numerical, 724

Constants, 854, 1111

Constants of integration, 859, 871

         as dummy variables, 388

Constrained optimization, Minimize, 92, 850, 1212

         NMinimize, 106, 974, 1220

Constrained selection, StructuredSelection, 615, 1293

Constraints, memory, MemoryConstrained, 713, 1210

         on graphics shape, AspectRatioFixed, 616, 1084

         on transformation rules, Condition (/;), 265, 1111

         simplifying with, Simplify, 72, 815, 1282

         time, TimeConstrained, 712, 1305

Constructive solid geometry, 836

Contains, MemberQ, 268, 1210

Content, of polynomials, FactorTerms, 797, 806, 1144

Context, current, 1015

Context, 394, 1111

$Context, 393, 1015, 1327

Context mark, 1015

Context search path, 1015

$ContextPath, 394, 1015, 1327

Contexts, 392, 1015

         analogy with directories for, 393

         conventions for, 396

         hierarchical, 393

         in packages, 396, 1016

         printing of, 395, 401, 1016

         private, 398

         relative, 393

Contexts, 394, 403, 1112

Continuation, \[Ellipsis] (), 997

         of input, 48

         of lines, 1038

\[Continuation] (), 1009, 1361

Continue, 353, 1112

Continued fractions, as example of Nest, 241

         geometric means, Khinchin, 765, 1190

         program for, 18

         Rationalize, 746, 754, 1256

ContinuedFraction, 754, 755, 1112

         implementation of, 1067

Contour plots, 517

         converting, 157

         from lists, ListContourPlot, 159, 1199

         irregularities in, 147

ContourGraphics, 487, 517, 1113

\[ContourIntegral] (), 1000, 1361

ContourLevels (Version 1 option), see Contours, 1402

ContourLines, 518, 519, 1113

ContourPlot, 146, 487, 517, 1113

Contours, 147, 519, 1113

ContourShading, 147, 519, 1114

ContourStyle, 519, 1114

Contraction, of single tensor, Transpose, 918, 1313

         of tensors, Inner, 917, 1178

Contravariant indices, 915

Control, of evaluation, Throw, 350, 1304

         of notebooks from kernel, 581

         of simplification, ExcludedForms, 814, 1137

Control characters, 62

         codes for, 420

         for entering structures, 179

Control keys, for entering mathematical notation, 36, 176

Control structures, 348

Control theory, ZTransform, 879, 1325

Control-@, 36, 178

Control-%, 179

Control-^, 36, 176

Control-&, 180

Control-*, 463, 572

Control-(, 196

Control-), 196

Control-_, 177

Control--, 177

Control-+, 180

Control-=, 188

Control-., 180

Control-/, 36, 178

Control-0, 196

Control-2, 178, 179

Control-5, 179

Control-6, 36, 176

Control-7, 188

Control-9, 196

Control-C, 62

Control-Comma, 187

Control-D, 706, 1057

Control-Dot, 180

Control-Enter, 187

Control-Space, 36, 176

Control-Z, in MS-DOS, DOSTextFormat, 1054

\[ControlKey] (), 1009, 1361

Controlled transformations, ReplaceAll (/.), 64, 1263

Conventions, 1039

Convergence, of integrals, 866

Convergents, FromContinuedFraction, 754, 1157

Conversion, between color models, 564

         between exponential and trigonometric functions, TrigToExp, 71, 812, 1314

         between number bases, 438, 725

         between types of three-dimensional graphics, 538

         from absolute times to dates, ToDate, 710, 1307

         from character codes, FromCharacterCode, 417, 1157

         from dates to absolute times, FromDate, 710, 1157

         from digits, FromDigits, 725, 1158

         from expression to boxes, ToBoxes, 428, 464, 1307

         from expression to string, ToString, 428, 464, 1309

         from string to expression, ToExpression, 428, 464, 1307

         of graphics to PostScript, Display, 554, 1126

         of strings to lists of characters, Characters, 412, 1102

         of units, 78

         to character codes, ToCharacterCode, 417, 1307

         to digits, IntegerDigits, 725, 1181

         to lower-case letters, ToLowerCase, 413, 1308

         to upper-case letters, ToUpperCase, 413, 1309

ConversionRules, 607, 1114

Conversions, graphics, Export, 208, 567, 1141

         sounds, Export, 567, 1141

Convert, 78

Converting, images to expressions, Import, 570, 1176

         notebooks to Version 3, 1403

Convolution, \[Star] (), 1002

Convolutions, ListConvolve, 937, 1200

Cooley-Tukey transform, Fourier, 935, 1154

Cooperating Mathematica session, 680

Coordinate systems, for three-dimensional graphics, 530

         for two-dimensional graphics, 505

         in vector analysis, 97

Coordinate transformations, in three dimensions, 535

Coordinates, interactive selection of, 51

         ranges of in plots, PlotRange, 134, 1243

Coprime, GCD, 749, 1161

\coprod (TeX), \[Coproduct] (), 1002

\[Coproduct] (), 1002, 1362

Copy of Mathematica, ID of, $LicenseID, 718

Copy-on-edit, CellEditDuplicate, 607, 1098

Copy-on-evaluation, CellEvaluationDuplicate, 608, 1098

Copyable, 607, 1114

CopyDirectory, 641, 1114

CopyEvaluate button action, 200, 596

CopyEvaluateCell button action, 200, 596

CopyFile, 206, 641, 1114

Copying, formulas on the web, MathMLForm, 211, 1207

         of expressions, 38

         of expressions, Table, 116, 1299

         of interactive output, 705

         of internal data, 1066

\[Copyright] (), 996, 1362

Core, of Mathematica, 44

Core dump, DumpSave, 627, 1129

Core usage, 712

Corner bracket, \[LeftFloor] (), 1002

Correctness, of numbers, 731

Correlations, ListCorrelate, 937, 1201

Cos, 31, 761, 1115

         manipulation of, 811

Cosh, 761, 1115

CoshIntegral, 774, 1115

Cosine integral, CosIntegral, 774, 1115

Cosine transform, FourierCosTransform, 878, 1154

CosIntegral, 774, 1115

Cost function, in minimization, Minimize, 850, 1212

         in minimization, NMinimize, 974, 1220

         in simplification, ComplexityFunction, 815, 1110

Cot, 761, 1115

Coth, 761, 1115

Coulomb wave functions, Hypergeometric1F1, 779, 1171

Count, 124, 261, 1115

         level specification in, 262, 1041

Count of digits, DigitCount, 755, 1123

Counter, line, $Line, 703, 1331

\[CounterClockwiseContourIntegral] (), 1000, 1362

Coupled map lattices, CellularAutomaton, 946, 1101

Courier fonts, 444, 558, 612

         FontFamily, 612, 1151

Covariant indices, 915

Covering, multiple of surfaces, 167

CPU ID, $MachineID, 718, 1331

CPU time, TimeUsed, 710, 1306

CPU type, $ProcessorType, 717, 1336

Cramer's rule, 907

Crashing, due to out of memory, 75, 713

Create Automatic Numbering Object menu item, 202

Create Button menu item, 595

Create link, LinkCreate, 680, 1197

Create notebook, NotebookCreate, 591, 1222

CreateDirectory, 641, 1116

Creation of symbols, 404

         context for, 395

$CreationDate, 717, 1328

Criteria, finding elements based on, Cases, 261, 1096

         for applicability of patterns, Condition (/;), 265, 1111

         on parameters, Assumptions, 867, 1084

         selection based on, Select, 251, 1273

Critical line for zeta function, 772

Critical section, AbortProtect, 371, 1075

crontab file, 1058

Cross, 119, 1116

\[Cross] (), 183, 985, 1000, 1362

Cross-platform MathLink programs, 676

Csc, 761, 1116

Csch, 761, 1116

CSV format, exporting, Export, 208, 642, 1141

         importing, Import, 208, 642, 1176

Cube, Cuboid, 524, 1116

Cubic equations, 820

Cuboid, 520, 524, 1116

Cumulative distribution function, CDF, 795

Cumulative sums, FoldList, 243, 1151

Cunningham functions, Hypergeometric1F1, 779, 1171

\[Cup] (), 1002, 1362

\cup (TeX), \[Union] (), 1002, 1315

Cup accent, 998

Cup product, \[Cup] (), 1002

Cup symbol, \[Union] (), 1002, 1315

\[CupCap] (), 1003, 1362

Curl, 97

Curly braces, 42, 1022

\[CurlyCapitalUpsilon] (), 990, 1362

\[CurlyEpsilon] (), 990, 1362

\[CurlyKappa] (), 990, 1362

\[CurlyPhi] (), 175, 990, 1362

\[CurlyPi] (), 990, 1362

\[CurlyRho] (), 990, 1362

\[CurlyTheta] (), 990, 1362

Currency, European, \[Euro] (), 994

Currency output (number formats), 435

Currency signs, 994

Current context, $Context, 393, 1327

Current expression, 38

Current selection, in notebooks, 581

Current values, 313

$CurrentLink, 688, 1328

Cursive characters, 992

Cursor tracker, ShowCursorTracker, 613, 1072, 1281

Curves, algebraic, 822

         color of, PlotStyle, 500, 1244

         dashing of, Dashing, 501, 1117

         fitting of, FindFit, 108, 1146

         fitting of, Fit, 926, 1149

         plotting, Plot, 131, 1242

         plotting 3D, ParametricPlot3D, 163, 1238

         plotting multiple, Plot, 131, 1242

         points to sample on, PlotPoints, 138, 1243

         smoothness criterion for, MaxBend, 138, 1208

         styles of, PlotStyle, 503, 1244

curveto PostScript command, 555

Customization files, 1063

Customization of Mathematica , xii

Cyan, 500

Cycle, RotateLeft, 127, 291, 1266

Cycle detection, NestWhileList, 242, 1218

Cyclic indices, Mod, 749, 1213

Cyclic partitioning, Partition, 293, 938, 1240

Cyclic vectors, JordanDecomposition, 915, 1190

Cyclotomic, 807, 1116

Cyclotomic polynomials, Cyclotomic, 807, 1116

Cylinder, 166

Cylindrical coordinates, 97

Cylindrical symmetry, 776

CylindricalDecomposition, 847, 1070, 1117

         implementation of, 1070



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