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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

Galois fields, 809

Galois theory, 826

Gamma, 770, 771, 890, 1160

         implementation of, 1068

\[Gamma] (), 175, 990, 1370

Gamma function, Gamma, 770, 1160

         incomplete, Gamma, 771, 1160

         logarithm of, LogGamma, 770, 1202

         logarithmic derivative of, PolyGamma, 771, 1245

         regularized, GammaRegularized, 771, 1160

Gamma function simplification, FullSimplify, 813, 1159

GammaRegularized, 770, 771, 1160

Gamut, of colors, 563

Garbage collection, by Mathematica, 712

         of temporary symbols, 383

Gatepost, \[RightTee] (), 1001

Gathering elements in lists, Partition, 128, 292, 1240

Gauss series, Hypergeometric2F1, 780, 1172

Gauss transformation, 1068

Gaussian distribution, integral of, Erf, 775, 1135

         NormalDistribution, 794

Gaussian elimination, 1069

         LUDecomposition, 914, 1203

         RowReduce, 907, 1268

Gaussian integers, as coefficients in polynomials, 807

         factoring of, FactorInteger, 750, 1143

Gaussian quadrature, NIntegrate, 1068, 1219

Gaussian random numbers, InverseErf, 775, 1185

GaussianIntegers, 751, 807, 1160

GaussKronrod, 1068

Gaze, center of, ViewCenter, 533, 1318

         ShowCursorTracker, 613, 1072, 1281

GCD, extended, ExtendedGCD, 753, 1141

         generalized, ExtendedGCD, 753, 1141

         of polynomials, PolynomialGCD, 803, 1246

         of polynomials over finite fields, 809

GCD, 749, 750, 809, 1067, 1161

GCF, GCD, 749, 1161

gdb, 691

\ge (TeX), \[GreaterEqual] (), 1004, 1166

Gear method, NDSolve, 1068, 1216

Gegenbauer functions, GegenbauerC, 778, 1161

Gegenbauer polynomials, GegenbauerC, 766, 1161

GegenbauerC, 766, 778, 1161

Gel'fand-Lokutsiyevskii method, NDSolve, 1068, 1216

General, 480, 1161

General definitions, 309

General messages, 480

General solutions, to PDEs, 875

Generalized division, PolynomialReduce, 805, 1247

Generalized eigenvalues, Eigenvalues, 912, 1131

Generalized functions, DiracDelta, 879, 1124

Generalized hypergeometric function, HypergeometricPFQ, 780, 1172

GenerateConditions, 867, 1161

Generated files, in MathLink, 667

GeneratedCell, 582, 608, 1161

GeneratedParameters, 841, 1161

Generating functions, ZTransform, 879, 1325

Generator, for MathLink programs, 659

Generic window frame option, 621

Genericity, in integration, 860

         in solving equations, 830

Genocchi numbers, 758

gensym, Unique, 382, 1316

Genz-Malik algorithm, NIntegrate, 1068, 1219

Geometric difference equations, RSolve, 892, 1269

Geometrical figures, aspect ratios of, 495

         preserving shapes of, 510

GeometricDistribution, 796

Geometry, algebraic, GroebnerBasis, 805, 1168

         defined by inequalities, 836

         notation for, 996

Geometry data, exporting, Export, 569, 1141

         importing, Import, 570, 1176

\geq (TeX), \[GreaterEqual] (), 1004, 1166

German characters, 190, 998

German gothic characters, 992

Germundsson methods, RSolve, 1071, 1269

Get, notebook, NotebookGet, 578, 1223

Get (<<), 59, 204, 215, 400, 623, 626, 1024, 1162

         file used during, $Input, 705, 1330

         return value from, 623

\gets (TeX), \[LeftArrow] (), 1006

Getting data in MathLink, 671

Getting Started with Mathematica , xii

GF(p), 809

\gg (TeX), \[GreaterGreater] (), 1004

GIF, exporting, Export, 568, 1141

         importing, Import, 570, 1176

\[Gimel] (), 993, 1370

GIS data, importing, Import, 208, 1176

Givens rotations, SingularValues, 1069

Glaisher, 765, 1162

Glitches, in plots, 137

Global assumptions, Assuming, 818, 1084

Global maxima, 106

Global minima, 106

Global minimization, exact, Minimize, 850, 1212

         NMinimize, 974, 1220

Global options, for front end, 622

Global style changes, 574

Global switches, $Post, 703, 1335

Global variables, 314, 378

         and conditions on rules, 370

         temporary values for, 390

         tracing, 365

Global` context, 394

Globbing, in file names, 1053

Gloss surfaces, 547

GMP, 1067

GMT, 709

Go to, in notebook, SelectionMove, 582, 1275

Goal, in simplification, ComplexityFunction, 815, 1110

Goal functions, Minimize, 850, 1212

         NMinimize, 974, 1220

G{\accent "7F o}ktas methods, RSolve, 1071, 1269

Golden mean, GoldenRatio, 765, 1162

GoldenRatio, 765, 1162

         in plots, 134, 510

\[GothicA] (), 993, 1370

\[GothicCapitalA] (), 993, 1371

\[GothicCapitalC] (), 992

\[GothicCapitalH] (), 992

\[GothicCapitalI] (), 992

\[GothicCapitalR] (), 192, 992

\[GothicCapitalZ] (), 993, 1371

\[GothicZ] (), 993, 1370

Goto, 353, 354, 1162

Grad, \[Del] (), 1000

Grad, 97

Grade, in list, Ordering, 129, 1233

         Sort, 127, 1286

Gradient, 1148

Gradients, D, 80, 853, 1117

Gradshteyn-Ryzhik, Integrate, 864, 1070, 1182

         Sum, 1071, 1296

Grammar, checking in strings, SyntaxQ, 466, 1298

         outline of, 469

         two-dimensional, 470

Grammar of Mathematica, 232, 429, 467, 1018, 1023

Granularity, of time measurements, $TimeUnit, 710, 1338

Graphical user interfaces, 26, 49

Graphics, 131

         animated, 51, 170, 617

         color, 499

         combined with sound, 567

         control of, 133

         converting, Export, 208, 567, 1141

         converting between types of, 157

         coordinate systems in two-dimensional, 505

         dynamic, 170, 617

         exporting, Export, 208, 567, 1141

         exporting three-dimensional, 556

         fonts for text in, 558

         full story on, 486

         generating without displaying, 491

         internal form of, 486

         labeling three-dimensional, 548

         labeling two-dimensional, 511

         low-level rendering of, 553

         notebook animation, SelectionAnimate, 588, 1274

         options for, 133, 488, 499

         order of drawing, 494

         output devices, DisplayFunction, 134, 1126

         packages for, 167

         parameters in, 133

         programming, 486

         range of, PlotRange, 134, 1243

         resizing, 51

         text in, 134, 556, 560

         three-dimensional, Plot3D, 149, 1242

         types of, 486

         via MathLink, 657

Graphics, 487, 1163

Graphics cells, 616

Graphics code, low-level, 554

Graphics directives, 488, 499

         scoping of, 499

         three-dimensional, 525

Graphics objects, 486

Graphics primitives, 486

         three-dimensional, 520

         two-dimensional, 492

Graphics size, ImageSize, 569, 616, 1174

Graphics3D, 487, 1165

GraphicsArray, 139, 158, 171, 487, 1165

GraphicsData, 600

GraphicsSpacing, 141, 1165

Grave accent (`), as context mark, 392, 1015

Gray boxes, in book style, 602

\[GrayCircle] (), 995, 1371

GrayLevel, 488, 499, 563, 1165

\[GraySquare] (), 995, 1371

Greater (>), 86, 1027, 1166

GreaterEqual (>=), 86, 1027, 1166

\[GreaterEqual] (), 182, 1004, 1371

\[GreaterEqualLess] (), 1004, 1371

\[GreaterFullEqual] (), 1004, 1371

\[GreaterGreater] (), 191, 1004, 1371

\[GreaterLess] (), 1004, 1371

\[GreaterSlantEqual] (), 1004, 1371

\[GreaterTilde] (), 191, 1004, 1371

Greatest common divisor, GCD, 749, 1161

Greatest common divisor of polynomials, PolynomialGCD, 804, 1246

Greatest dividing exponent, IntegerExponent, 749, 1181

Greatest integer function, Floor, 745, 1150

Greek, capital letters, 984

         fonts for, 613

Greek alphabet, generating, CharacterRange, 418, 1102

Greek letter palette, 54

Greek letters, 174

         codes for, 419

Green, 500

Green's functions, DiracDelta, 879, 1124

Greenwich mean time, 709

grep, FindList, 207, 650, 1147

Grid, Mesh, 540, 1210

         RasterArray, 497, 1255

GridBaseline, 449, 1166

GridBox, 445, 1167

         options for, 449

GridBoxOptions, 615

GridDefaultElement, 449, 1167

GridLines, 134, 511, 515, 1167

Grids, input of, 186

         interpolation of, ListInterpolation, 934, 1201

GroebnerBasis, 803, 805, 1070, 1168

         implementation of, 1070

Group coupling coefficients, 760

Group order, MultiplicativeOrder, 752, 1214

Grouping, in Mathematica input, 468

         of cells, CellGrouping, 618, 1099

Grouping of input expressions, 29, 233, 1031

         table of, 1024

Grouping terms, Collect, 71, 797, 1106

GroupPageBreakWithin, 609, 1168

Groups of cells, 51

Growable characters, 456

Growing lists, Reap, 355, 1259

\gtrsim (TeX), \[GreaterTilde] (), 1004

Guard digits, 736

Gudermannian function, 762

GUIs, creating, 598

Gutter, ColumnSpacings, 449, 1108



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