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The Mathematica Book, version 5.0
Browsable Index
t distribution, StudentTDistribution,
794
Tab,
55,
187
Tab indicator, \[RightArrowBar]
( ),
1006
Tab settings,
416
Tab-delimited data,
207
exporting, Import,
208,
1176
importing, Import,
208,
642,
1176
Table, of notebook options,
574,
601
Table,
113,
115,
116,
119,
283,
307,
896,
916,
1299
evaluation in,
343
variables in,
390
TableAlignments,
442,
1299
TableDepth,
442,
1299
TableDirections,
441,
442,
1299
TableForm,
116,
439,
442,
1299
TableHeadings,
442,
443,
1300
Tables, alignment of numbers in, PaddedForm,
440,
1235
creating, Table,
115,
1299
dispatch for rules,
302
exporting, Export,
643,
1141
extracting elements from,
117
formatting of, GridBox,
445,
1167
formatting of, TableForm,
116,
439,
1299
importing, Import,
643,
1176
input of,
186
interpolation, Interpolation,
931,
1183
multidimensional,
116
of integrals,
864
of special functions,
791
plotting, ListPlot,
159,
1202
TableSpacing,
442,
1300
Tabs, in strings,
415
Tabular data, exporting, Export,
208,
642,
1141
importing, Import,
208,
642,
1176
reading, Import,
207,
1176
writing, Export,
207,
1141
Tabulation,
439
Tabulation of values, Table,
115,
1299
Tack, \[RightTee]
( ),
1001
TagBox,
447,
1300
Tagged data,
78
Tags, for expressions,
232
for Sow, Sow,
355,
1286
in cells, CellTags,
607,
1100
in definitions,
319
in TraditionalForm,
195
including in levels, Heads,
238,
1169
tracing based on, Trace,
359,
1310
TagSet,
319,
1029,
1051,
1300
TagSetDelayed,
319,
1029,
1300
TagUnset,
1029,
1052,
1301
Tail area, CDF,
795
Tailed rho, \[CurlyRho]
( ),
990
Take,
123,
236,
287,
898,
941,
1301
Taking, of definitions, Remove,
59,
1261
Tan,
31,
761,
1301
simplification to, TrigFactorList,
812,
1314
Tanh,
761,
1301
Target notebook, InputNotebook,
579,
1179
TargetFunctions,
813
\[Tau]
( ),
175,
990,
1396
Tautology, \[DoubleRightTee]
( ),
1001
Taylor series, Series,
94,
883,
1276
TCP ports,
682
TCP protocol, LinkProtocol,
677,
1198
Telephone systems,
172
Telescope, levels in lists, Transpose,
918,
1313
Template strings,
434
Templates, for cells, DefaultNewCellStyle,
619,
1119
MathLink,
659
Templates (patterns),
259
Templates (pure functions),
248
Temporary,
329,
383,
1301
Temporary binding, ReplaceAll (/.),
65,
1263
Temporary files,
629
Temporary values, Block,
389,
1091
Temporary variables,
378
Tensor product, \[CircleTimes]
( ),
1002
Tensor products, Outer,
902,
1234
Tensors,
915
antisymmetry in, Signature,
920,
1282
contraction of, Inner,
917,
920,
1178
dimensions of, Dimensions,
916,
1124
formatting of,
440,
916
formatting of, ScriptBaselineShifts,
457,
1272
generation from functions of, Array,
250,
1083
generation of,
916
index contraction in, Dot (.),
902,
1127
inner product of, Inner,
917,
1178
interpolation of, ListInterpolation,
934,
1201
List,
118,
1199
outer product of, Outer,
917,
1234
rank of, ArrayDepth,
916,
1083
rank three,
903
summation convention for,
388
testing for, ArrayQ,
916,
1083
traces of, Tr,
917,
1310
transposes of, Transpose,
917,
1313
$TERM Unix environment variable,
628
termcap, PageWidth,
634,
1237
Terminals, parameters for,
634
preprocessing input from, $PreRead,
703,
1336
Terminating computations, Abort,
371,
1075
Terminating dialogs,
707
Terminating input,
26,
48
Terminating Mathematica, Quit,
28,
1057,
1254
Terms, in power series, SeriesCoefficient,
889,
1276
Terms in expressions,
73
Ternary digits, IntegerDigits,
725,
1181
Ternary numbers,
438,
725,
1021
Terrain data, importing, Import,
208,
1176
Test, If,
345,
1173
Testing, for full arrays, ArrayQ,
267,
290,
1083
for integers, IntegerQ,
267,
1181
for matrices, MatrixQ,
267,
1208
for numbers, NumberQ,
267,
1228
for polynomials, PolynomialQ,
267,
1246
for vectors, VectorQ,
267,
1318
of Mathematica,
225
Testing equality, Equal (==),
84,
1135
for numbers,
732
Testing models, FindFit,
108,
929,
1146
statistical,
795
Tests,
84,
86
combinations of,
347
on expressions,
267
Tetrahedron,
523
TeX names for characters,
174,
982,
1353
TeX output,
210
defining,
474
TeXForm,
210,
425,
1302
TeXSave,
210,
1302
Text, active,
56
breaks in,
415
color of,
561
default color of, DefaultColor,
504,
1118
exporting, Export,
643,
1141
importing, Import,
643,
1176
in cells,
52
in equations,
196
in graphics,
134,
556,
560
in tables, TableHeadings,
443,
1300
in three-dimensional graphics,
561
matching size of, Offset,
507,
1230
newlines in,
415
of input, InString,
703,
1180
of messages,
479
operations on,
407,
655
orientation of in graphics,
561
positioning of,
561
reading from files,
646
searching for, FindList,
207,
650,
1147
vertical in plots, RotateLabel,
515,
1266
with embedded formulas,
461
Text,
492,
520,
560,
1303
Text files, in MS-DOS, DOSTextFormat,
1054
Text options,
609
Text resource files,
1062
Text strings,
406,
432,
1017
Text style,
573
Text-based interface,
27,
48
animated graphics in,
170
interactive input with,
478
operating system commands with,
630
test for, $Notebooks,
715,
1334
TextAlignment,
574,
609,
610,
1303
Textbook notation, TraditionalForm,
193,
1313
Textbooks, examples from,
225
TextData,
600
TextJustification,
609,
610,
1303
TextLine,
582
TextListPlot,
168
TextPacket,
684,
700
TextParagraph,
582
TextStyle,
556,
1303
$TextStyle,
556,
1338
Textual analysis,
9
Textual input,
424
Textual output,
424
Then, If,
345,
1173
Theorems, establishing,
816
\[Therefore]
( ),
191,
1001,
1396
\[Theta]
( ),
175,
990,
1396
Theta function, UnitStep,
879,
1316
Theta functions,
785
EllipticTheta,
786,
1133
Thickness, of fraction bars, SpanLineThickness,
456
Thickness,
501,
1304
in three dimensions,
525
\[ThickSpace]
( ),
454,
1008,
1397
ThinFrame window frame option,
621
\[ThinSpace]
( ),
454,
1008,
1397
Third-party packages, loading,
207,
640
\[Thorn]
( ),
998,
1397
Thread,
256,
257,
1304
Threading, of expressions,
256
over lists automatically, Listable,
329,
1199
Three-dimensional graphics, coordinate systems for,
530
directives for,
525
exporting, Export,
569,
1141
importing, Import,
570,
1176
primitives for,
520
Three-dimensional plots, from lists, ListPlot3D,
159,
1202
Plot3D,
149,
1242
ThreeJSymbol,
760,
1304
Threshold function, If,
87,
345,
1173
Through,
254,
1304
Throw,
350,
351,
354,
1304
Thue equations,
842
Reduce,
1070,
1261
Tick marks, Ticks,
134,
512,
552,
1305
Ticks,
134,
512,
552,
1305
Tie, between lines, \[NoBreak]
( ),
459
\[DownBreve]
( ),
999
\[RoundSpaceIndicator]
( ),
1009
TIFF, exporting, Export,
568,
1141
importing, Import,
570,
1176
Tightening formatting,
454
Tightness, of lines, LineSpacing,
611,
1196
Tilde,
233
input of,
188
\[Tilde]
( ),
191,
1003,
1397
Tilde function markers,
1073
\[TildeEqual]
( ),
191,
1003,
1397
\[TildeFullEqual]
( ),
1003,
1397
\[TildeTilde]
( ),
191,
1003,
1397
Time, absolute, AbsoluteTime,
710,
1076
CPU, TimeUsed,
710,
1306
Date,
709,
1117
execution, Timing,
711,
1306
for files, FileDate,
641,
1145
session, SessionTime,
710,
1277
Time complexity,
76
Time differences,
711
Time domain, InverseFourierTransform,
876,
1187
Time series, smoothing of, ListConvolve,
937,
1200
Time series analysis,
936
Time-dependent graphics,
170
TimeConstrained,
712,
1305
TimeConstraint,
814,
1305
Timeout, for network licenses,
1059
Times (*),
29,
1026,
1067,
1306
optional arguments in patterns involving,
275
patterns involving,
270
\[Times]
( ),
183,
985,
1000,
1397
\times (TeX), \[Times]
(),
1000,
1306
Times fonts,
444,
558,
612
FontFamily,
612,
1151
TimesBy (*=),
305,
1029,
1306
$TimeUnit,
710,
711,
1338
TimeUsed,
710,
1306
TimeZone,
709,
1306
Timing, factors affecting,
711
of examples,
xv
Timing,
711,
1306
Timings, in Mathematica,
220
Tint (color),
500
Title, of window, WindowTitle,
620,
1322
Title style,
573
Titles, in tables, TableHeadings,
443,
1300
of plots, PlotLabel,
134,
511,
1243
TM, \[Trademark]
( ),
996
.tm files,
661
.tm.c files,
667
tmp files,
629
\to (TeX), \[RightArrow]
( ),
1006
ToASCII (Version 1 function), see ToCharacterCode,
1402
ToBoxes,
428,
464,
1307
ToCharacterCode,
417,
423,
1307
ToDate,
710,
1307
Toeplitz matrix multiplication, ListConvolve,
937,
1200
ToExpression,
428,
464,
466,
1307
ToFileName,
639,
1308
Together, spacing characters,
1008
Together,
69,
70,
802,
1308
Toggle, forms of cells,
572
Tokens, in box input,
462,
1036
in data files, TokenWords,
648,
1308
in Mathematica language,
467
TokenWords,
646,
648,
1308
Tolerance,
908,
913
ToLowerCase,
413,
1308
Tones, generation of,
171
Toolbars, in window, WindowToolbars,
620,
1323
Top,
451
Top of expression, printing, Shallow,
431,
1279
Top of fraction, Numerator,
74,
1229
Top parenthesis, \[OverParenthesis]
( ),
997
Topographic map,
146,
517
ToRadicals,
826,
1308
Toroidal functions, LegendreP,
778,
1192
ToRules,
820,
1309
Torus,
166
ToString,
428,
464,
1309
Total,
109,
924,
1309
Total derivatives, Dt,
80,
854,
1129
Total differential, Dt,
855,
1129
Totalistic cellular automata, CellularAutomaton,
945,
1101
TotalWidth,
1054,
1309
Totient function, EulerPhi,
752,
1136
touch Unix command, SetFileDate,
641,
1278
ToUpperCase,
413,
1309
Tour, of Mathematica,
3
Tr,
898,
905,
906,
913,
917,
918,
1310
Trace,
334,
356,
357,
358,
359,
360,
1048,
1310
form of output from,
361
local variables in,
364,
382
printing output from,
432
Trace of matrix, Tr,
906,
1310
TraceAbove,
363,
368,
1310
TraceBackward,
363,
368,
1311
TraceDepth,
362,
1311
TraceDialog,
366,
368,
1311
TraceForward,
362,
1311
TraceOff,
360,
1311
TraceOn,
360,
1312
TraceOriginal,
364,
1312
TracePrint,
365,
1312
TraceScan,
366,
1312
Tracing evaluation,
356
Tracker, cursor, ShowCursorTracker,
613,
1072,
1281
\[Trademark]
(),
996,
1397
Trademark sign, \[RegisteredTrademark]
( ),
996
Traditional notation, TraditionalForm,
193,
1313
TraditionalForm,
192,
193,
194,
425,
1313
importing of,
464
input in,
430
Trager's algorithm, Factor,
1069,
1143
Transcendental equations,
89,
824
ProductLog,
781,
1252
Transcendental functions,
761
inequalities for,
835
Transfer function, LaplaceTransform,
875,
1191
Transferring, notebooks to the kernel, NotebookGet,
578,
1223
Transferring expressions, between Mathematica sessions,
680
Transfinite cardinals, \[Aleph]
( ),
993
Transform, Fourier, Fourier,
935,
1154
Fourier, FourierTransform,
876,
1155
Laplace, LaplaceTransform,
875,
1191
Transformation, of algebraic expressions,
67
of coordinates in three-dimensional graphics,
535
of coordinates in two-dimensional graphics,
507
of general expressions,
71
of trigonometric expressions,
71
Transformation rules,
64,
299,
1051
applied during evaluation,
1045
as scoping constructs,
386
associated with different objects,
1051
controlling,
64
for functions,
113
immediate and delayed,
1052
order of,
1051
overwriting of,
1051
patterns in,
259
putting constraints on, Condition (/;),
265,
1111
speed of,
77
speed of, Dispatch,
302,
1125
tracing of, Trace,
358,
1310
types of,
1052
TransformationFunctions,
815,
1313
Transformations, for simplification, Simplify,
68,
813,
1282
for special functions, FunctionExpand,
792,
1159
Transient analysis, LaplaceTransform,
875,
1191
Translation, of character encodings,
423
of file names,
207,
640
of messages,
483,
706
of strings, StringReplace,
410,
1292
Transmitting, notebooks to the front end, NotebookPut,
578,
1224
Transport mechanism, in MathLink,
658
Transportability, of Mathematica,
46
Transpose,
121,
130,
290,
898,
905,
917,
918,
1313
Trapezoidal,
1068
Trapping errors, Check,
481,
1102
Traversal, of expression tree,
1041
Tree, selecting,
180
Tree generating function, ProductLog,
781,
1252
Tree walking, order of,
247,
1041
Scan,
247,
1271
TreeForm,
236,
237,
1313
Trees,
237
levels in,
238
size of expression, LeafCount,
714,
1192
traversal of,
1041
Trend line, FindFit,
108,
929,
1146
Triangle, defined by inequalities,
836
notation for, \[EmptyUpTriangle]
( ),
996
\triangle (TeX), \[EmptyUpTriangle]
(),
995
\triangleleft (TeX), \[LeftTriangle]
( ),
1005
\trianglelefteq (TeX), \[LeftTriangleEqual]
( ),
1005
\triangleright (TeX), \[RightTriangle]
( ),
1005
\trianglerighteq (TeX), \[RightTriangleEqual]
( ),
1005
Triangular matrices,
290,
914
constructing,
897
LUDecomposition,
914,
1203
TrigExpand,
71,
811,
812,
1313
TrigFactor,
71,
811,
1314
TrigFactorList,
811,
812,
1314
Trigonometric equations,
89
Trigonometric expansion, TrigExpand,
71,
811,
1313
Trigonometric expressions, manipulation of,
811
Trigonometric functions,
31,
761
conversion to exponentials, TrigToExp,
71,
812,
1314
in degrees,
33
inverse,
31,
761
Trigonometric simplification, Simplify,
813,
1282
Trigonometric transformations,
71
TrigReduce,
71,
811,
1314
TrigToExp,
71,
812,
1314
Troubleshooting,
xii
True,
85,
136,
345,
1314
TrueQ,
346,
723,
1314
Truncate list, Most,
123,
1214
Truncate to integer, IntegerPart,
745,
1181
Truncation of numbers, Chop,
730,
1103
Truncation of power series, Normal,
94,
888,
1221
Truth values, in symbolic systems,
346
Tschebyscheff polynomials, ChebyshevT,
768,
1102
TSV format, exporting, Export,
208,
1141
importing, Import,
208,
1176
\tt (TeX), FontFamily,
444,
612,
1151
Tuples, List,
115,
1199
Turnstile, \[RightTee]
(),
1001
Tutorial style definitions,
602
Tweaking graphics, Offset,
507,
1230
Tweaks, in formatting,
449
Twiddle,
233
\[Tilde]
(),
1003
Two-dimensional forms, from backslash sequences,
177
Two-dimensional grammar,
470
Two-dimensional graphics,
492
Two-dimensional input,
176
Two-dimensional notation,
427
representation by strings,
460
Two-way communication, in MathLink,
689
Two's complement representation,
756
Type, Print,
477,
1251
Type assumptions, Assuming,
818,
1084
Typeface, FontFamily,
444,
612,
1151
for text in graphics,
558
Types, functions for testing,
267
in compilation,
374
of expressions,
232
of files,
1053
of parameters, Assumptions,
867,
1084
of variables, Element,
73,
816,
1132
using patterns to constrain,
264
Typeset expressions, exporting,
430
importing,
430
Typesetting, boxes in,
444
Typewriter font (Courier),
444,
558,
612
Typing in numbers,
729
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