Documentation

Mathematica

The Mathematica Book

The Mathematica Book, version 5.0

Browsable Index

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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

\u (TeX), \[Breve] (), 999

U.S. keyboard, xv

\[UAcute] (), 998, 1397

\[UDoubleAcute] (), 998, 1397

\[UDoubleDot] (), 190, 998, 1398

\[UGrave] (), 190, 998, 1398

\[UHat] (), 998, 1398

Ultraspherical polynomials, GegenbauerC, 766, 1161

UMFPACK, LinearSolve, 1069, 1195

Umlauts, 998

Unary operators, iteration of, NestList, 242, 1217

Uncertainty, numerical, 727, 952

Undecidability, 327

         in Diophantine equations, 842

         in quantifier elimination, 850

Undefining functions, Clear, 110, 1103

Undefining objects, 1052

Undefining symbols, Unset (=.), 39, 1316

UnderBar, 472, 989

Underbar (_), Blank, 110, 259, 1090

\[UnderBrace] (), 997, 1398

\underbrace (TeX), \[UnderBrace] (), 997

\[UnderBracket] (), 997, 1398

Underdetermined linear systems, 909

Underflow, 1017

Underline, 472

         input of, 188

\underline (TeX), UnderBar, 472, 989

Underlining, in hyperlinks, 56

Underlying expression, for a cell, 572

Underneath, input, 188

Underneath, underscript, 180

         UnderscriptBox, 445, 1315

UnderoverscriptBox, 445, 1314

\[UnderParenthesis] (), 997, 1398

Underscore (_), Blank, 110, 259, 1090

Underscript, 180

         UnderscriptBox, 445, 1315

Underscript, 472

UnderscriptBox, 445, 1315

Underscripts, input of, 188

Undetermined coefficients, in differential equations, C, 93, 871, 1095

         SolveAlways, 833, 1285

Undetermined truth values, 346

Undocumented features, 1073

Unequal (!=), 86, 1027, 1315

Unevaluated, 339, 1048, 1315

Unevaluated expressions, extracting parts in, Extract, 339, 1142

         in patterns, HoldPattern, 340, 1170

         maintaining, 337

         output of, HoldForm, 338, 434, 1170

         reading of, 649

         replacing parts in, ReplacePart, 339, 1263

Unevaluated symbol names, 402

Unflatten, Partition, 128, 292, 1240

Unformatting, of cells, 427, 572

Unicode, 419, 421

         in MathLink, 679

Unicode transformation format, 421

Uniform distribution, DiscreteUniformDistribution, 796

Unifying idea, of Mathematica, 16

Uninstall, 216, 659, 1315

Uninterpretable elements, 1351

Uninterpretable input, ErrorBox, 447, 1135

Uninterruptible code, AbortProtect, 371, 1075

Union, 126, 127, 1315

\[Union] (), 183, 984, 1002, 1398

\[UnionPlus] (), 1002, 1398

Unique, 382, 1316

Unique elements in lists, Union, 127, 1315

Unique number, for session, $SessionID, 384, 716, 1337

Unique symbols, 381

United States, keyboard, xv

         time zones for, 709

Units, 78

         for notebook selections, 582

         lexical, 467

         of distance for formatting, 453

         package for conversions between, 78

UnitStep, 745, 879, 1316

Universal computation, 222

Universal exponent, smallest, CarmichaelLambda, 752, 1096

Universal quantifier, ForAll, 847, 1152

Universe, number of particles in, 75

Unix, 58

         executing commands in, 629

         file names in, 636, 639, 1053

         pipes, 215, 628

         redirection operators, 204

         terminating Mathematica under, 707

         text-based interface in, 27, 48

Unknown digits, independence of, 735

Unknown truth values, 346

Unmatched brackets, ShowAutoStyles, 613, 1280

Unpack, digits, IntegerDigits, 725, 1181

         FlattenAt, 255, 1150

         Sequence, 258, 1275

Unprotect, 321, 330, 1044, 1316

Unravel, Flatten, 130, 255, 1150

UnsameQ (=!=), 268, 346, 1028, 1316

Unset (=.), 39, 66, 304, 307, 1029, 1052, 1316

Until, FixedPoint, 241, 1149

         NestWhile, 349, 1218

         While, 352, 1320

Unwinding the stack, 368

Unwritable, Protect, 321, 1044, 1252

Up direction, in three dimensions, ViewVertical, 534, 1319

Uparrow, Power (^), 29, 1248

\[UpArrow] (), 191, 1006, 1398

\Uparrow (TeX), \[DoubleUpArrow] (), 1006

\uparrow (TeX), \[UpArrow] (), 1006

\[UpArrowBar] (), 1006, 1398

\[UpArrowDownArrow] (), 1006, 1398

Update, 370, 1317

Updates, of Mathematica, $ReleaseNumber, 717, 1337

         since earlier editions, 1402

         to Mathematica , x

         to this book, iv

\[UpDownArrow] (), 1006, 1398

\Updownarrow (TeX), \[DoubleUpDownArrow] (), 1006

\updownarrow (TeX), \[UpDownArrow] (), 1006

\[UpEquilibrium] (), 1007, 1398

Upgrading, to Version 2, 1402

         to Version 3, 1402

         to Version 4, 1404

         to Version 5, 1404

\uplus (TeX), \[UnionPlus] (), 1002

Upper tail area, CDF, 795

Upper-case, advantages of, 35

         ignoring in string operations, 410

Upper-case letters, 31, 40, 1014

UpperCaseQ, 413, 1317

\[UpperLeftArrow] (), 1006, 1399

\[UpperRightArrow] (), 1006, 1399

UpSet (^=), 318, 1029, 1051, 1317

UpSetDelayed (^:=), 316, 318, 1029, 1317

\[Upsilon] (), 990, 1399

\[UpTee] (), 1007, 1399

\[UpTeeArrow] (), 1006, 1399

Upvalues, 316

         built-in, 335

         in evaluation, 334

         preventing use, HoldAllComplete, 340, 1169

UpValues, 322, 1052, 1317

UpValuesHold, 340

Upward motion, in input, 176

$Urgent, 705, 1338

usage messages, 484

         in packages, 399

User configuration files, 1063

User guide, xii

User interface, for Mathematica, 44

         graphical, 26, 49

         notebook, 26, 49

         text-based, 27, 48

User interfaces, creating, 598

User-defined aliases, InputAliases, 613, 1178

User-defined functions, 110

User's directory, $HomeDirectory, 637, 1329

$UserBaseDirectory, 637, 1064, 1339

$UserName, 716, 1339

UTF-8, 421