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The Mathematica Book, version 5.0
Browsable Index
i, dotless, \[DotlessI]
( ),
992
I,
32,
34,
765,
1173
\i (TeX), \[DotlessI]
( ),
992
i/o primitives,
630
\[IAcute]
( ),
190,
998,
1372
Icon, Mathematica,
26
Iconic characters,
1009
Icons, in graphics, Offset,
507,
1230
Icosahedron,
527
\[ICup]
( ),
998,
1372
ID, of computer, $MachineID,
718,
1331
of Mathematica process, $ProcessID,
716,
1336
of session, $SessionID,
384,
716,
1337
Ideals, polynomial, GroebnerBasis,
805,
1168
Idempotence, OneIdentity,
272,
1231
Identical, SameQ (===),
268,
347,
1270
Identical expressions, testing for, Equal (==),
85,
1135
Identifiers,
40,
1014
Identities, special function, FunctionExpand,
792,
1159
Identity,
253,
1173
Identity matrix, sparse array for,
296
IdentityMatrix,
120,
896,
1173
\[IDoubleDot]
( ),
998,
1372
IEEE Floating Point Standard,
742
If,
87,
345,
1173
evaluation in,
336
\iff (TeX), \[DoubleLongLeftRightArrow]
( ),
1006
Ignore data, in files not between separators, RecordSeparators,
648,
1259
Skip,
650,
1284
IgnoreCase,
410,
412,
651,
1173
$IgnoreEOF,
706,
707,
1057,
1329
\[IGrave]
( ),
998,
1372
\[IHat]
( ),
998,
1372
ii, \[ImaginaryI]
( ),
988
Illegal syntax,
51
Illumination,
544
Lighting,
526,
1194
Im,
34,
746,
813,
1173
\Im (TeX), \[GothicCapitalI]
( ),
992
Image, of session, DumpSave,
627,
1129
Image array, Raster,
492,
497,
1255
Image capture, Import,
570,
1176
Image of, \[DotEqual]
( ),
1003
Image processing,
9
Import,
570,
1176
ListConvolve,
937,
1200
Image transform, two-dimensional, Fourier,
937,
1154
ImageMargins,
616,
1174
ImageResolution,
569,
1174
ImageRotated,
569,
1174
Images, exporting, Export,
208,
567,
1141
ImageSize,
569,
616,
1174
Imaginary part, finding symbolic,
813
Im,
34,
746,
1173
Imaginary quantities, expressions involving,
812
Imaginary unit, I,
34,
1173
\[ImaginaryI]
( ),
984,
988,
994,
1372
\[ImaginaryJ]
( ),
988,
994,
1372
\imath (TeX), \[DotlessI]
( ),
992
Immediate definitions, Set (=),
311,
1277
Immediate evaluation, of cells,
205
of cells, InitializationCell,
608,
1178
Implementation, of Mathematica,
218,
1066
Implicit curves, algebraic,
822
Implicit function application, \[InvisibleApplication]
( ),
1008
Implicit multiplication, \[InvisibleSpace]
( ),
1008
Implicit space, \[InvisibleSpace]
( ),
454
Implies, \[RightTee]
( ),
1001
Implies,
834,
1174
\[Implies]
( ),
183,
985,
1001,
1006,
1373
Implode, FromDigits,
725,
1158
StringJoin (<>),
407,
412,
1291
Import,
207,
208,
212,
568,
570,
571,
642,
643,
923,
1176
$ImportFormats,
208,
1329
Importing, numbers,
729
to notebooks,
47
two-dimensional forms,
430
ImportString,
570,
1176
Impossibility, of solution in radicals,
820
Improper functions, DiracDelta,
879,
1124
Impulse function, DiracDelta,
879,
1124
In,
38,
48,
50,
702,
1177
deleting,
703
\in (TeX), \[Element]
( ),
1004,
1132
In-place evaluation,
181
In-text formulas,
461
Inactivity, caused by name conflicts,
59
Inches, \[DoublePrime]
( ),
996
sizes in,
500
Include files, for MathLink,
677
Incompatibilities, between Versions 1 and 2,
1402
between Versions 2 and 3,
1402
between Versions 3 and 4,
1404
between Versions 4 and 5,
1404
Incomplete beta function, Beta,
770,
1089
Incomplete elliptic integrals,
783
Incomplete gamma function, Gamma,
770,
1160
Inconsistent linear systems,
909
Increment (++),
305,
1025,
1177
Indentation, automatic, AutoIndent,
613,
1086
\[IndentingNewLine]
( ),
460,
1008
of paragraphs, ParagraphIndent,
611,
1237
\[IndentingNewLine]
( ),
460,
1008,
1373
Independence, testing for, FreeQ,
124,
268,
1156
Indeterminate,
742,
1177
Indeterminate results,
742
Index, of numbers, MantissaExponent,
726,
1204
of substring, StringPosition,
409,
1292
online,
57
Index files (names files),
402
Index function, MultiplicativeOrder,
752,
1214
Index law, PowerExpand,
72,
798,
1248
Indexed functions,
251
applying to expressions, MapIndexed,
246,
1205
Indexed variables,
41,
307
Indicator, for unmatched brackets, ShowAutoStyles,
613,
1280
Indicator characters,
1009
Indicator function, UnitStep,
879,
1316
Indices, applying functions to parts with specific, MapAt,
246,
1205
commas between,
1008
dummy,
387
finding, Position,
124,
261,
1247
in expressions,
234
manipulating lists by,
285
of expression parts,
1014
of list elements,
41
part subscript,
184
parts with given number of (levels),
238
permutation of, Transpose,
917,
1313
Inequalities,
835
linear,
975
linear, Minimize,
851,
1212
on parameters, Assumptions,
867,
1084
reducing, Reduce,
92,
1261
Inequality, Unequal (!=),
86,
1315
Inequality,
1033
Inequivalence, logical, Xor,
87,
1324
Inert forms, Hold,
336,
1169
of symbols,
402
Inert functions, Remove,
59,
1261
Infeasible constraints, Minimize,
852,
1212
Inferences,
268
about parameters, Assumptions,
867,
1084
Infimum, Min,
31,
745,
1212
Infinite evaluation,
324
Infinite recursion,
369
Infinite results,
742
Infinity, complex,
743
complex direction of,
743
Infinity,
32,
238,
743,
765,
1177
\[Infinity]
( ),
182,
988,
994,
1373
Infix,
474,
1177
Infix notation,
233
Infix operators,
468
Information, about user-defined functions,
110
on functions,
484
on symbols,
484
product, $ProductInformation,
717,
1336
Information,
58,
1038,
1178
\infty (TeX), \[Infinity]
( ),
994,
1177
Inheritance, of cell options,
600
Inhibiting, evaluation,
336
line breaks, \[NoBreak]
( ),
459
output,
43
page breaks,
609
Inhomogeneous differential equations, DSolve,
871,
1129
init.m files,
640,
1056,
1065
Initial conditions, for NDSolve,
962
Initial values, in modules,
379
$InitialDirectory,
637,
1330
Initialization,
1056
of front end,
1038
of kernel,
1063
of random number generator, SeedRandom,
747,
1273
Initialization cells,
205
Initialization files,
1065
for packages,
640,
1065
InitializationCell,
608,
1178
Inks, printing,
564
Inline cells, positioning of, CellBaseline,
605,
1097
Inline code,
138,
196
Inline formulas,
196,
461
Inline text,
196
Inner,
257,
917,
919,
920,
1178
Inner loops, via MathLink,
657
Inner products, Dot (.),
118,
902,
1127
generalized, Inner,
919,
1178
of tensors, Dot (.),
917,
1127
Input, as string, InString,
702,
1180
basic rules for,
475
current, $Input,
639,
1330
entering,
26,
27,
48
file, Get (<<),
59,
1162
from data file, ReadList,
644,
1257
full story on,
623
in notebooks,
174
low-level,
630
multiline,
48
of delimiters, ShowAutoStyles,
613,
1280
of numbers,
729
re-executing,
48
special forms,
232,
1018,
1023
termination of,
48,
1037
textual,
424
two-dimensional,
176
with notebook interface,
26
Input,
478,
1178
$Input,
639,
705,
1330
Input cell, Evaluatable,
608,
1136
Input errors,
51
Input forms,
1024
for boxes,
462
for expressions,
233
for numbers,
1021
hierarchy of,
429
Input lines, In,
38,
1177
Input of operators,
230,
1023
Input streams, opening, OpenRead,
649,
1231
Input style,
573
InputAliases,
613,
1178
InputAutoReplacements,
613,
1179
InputForm,
139,
192,
424,
488,
1179
number marks in,
730
InputNamePacket,
683,
700
InputNotebook,
579,
1179
InputPacket,
700
InputStream,
631,
1054,
1179
InputString,
478,
1179
Insert,
125,
288,
1180
Inserting cells, CellPrint,
575,
1100
Insertion, into external files, Splice,
214,
1288
of substrings, StringInsert,
408,
1291
Insertion bar, in notebooks,
581
Insertion box, \[Placeholder]
( ),
1009
Insides of three-dimensional objects,
529
Inspector,
62,
366,
707
option,
574,
601
$Inspector,
1330
Inspiration, \[LightBulb]
( ),
995
Install,
216,
659,
676,
687,
1180
path in,
659
Installation,
xii,
1061
$InstallationDate,
717,
1330
$InstallationDirectory,
637,
1061,
1330
Installing Mathematica,
26
InString,
48,
702,
703,
1180
\int (TeX), \[Integral]
( ),
1000
int C type,
678
Integer,
722,
1017,
1180
Integer equations, Reduce,
841,
1261
Integer factoring, FactorInteger,
750,
1143
Integer sequence equations, RSolve,
891,
1269
IntegerDigits,
725,
749,
1181
implementation of,
1067
IntegerExponent,
725,
749,
1181
IntegerList MathLink type,
665
IntegerPart,
745,
1181
IntegerQ,
267,
723,
1181
Integers, bases of,
439
big,
30
complex,
750
conversion to,
746
exact,
30
factoring of, FactorInteger,
31,
750,
1143
Gaussian,
750,
751
in C,
678
in various bases,
725
output form for,
436
partitions of,
759
random, Random,
747,
1254
set of, \[DoubleStruckCapitalZ]
( ),
992
testing for, IntegerQ,
267,
1181
testing for even, EvenQ,
267,
1137
testing for odd, OddQ,
267,
1230
testing for prime, PrimeQ,
267,
1250
Integers,
73,
817,
839,
1181
\[Integral]
( ),
184,
185,
1000,
1373
Integral representations,
769
Integral transforms,
96,
875
Integrals, elliptic,
783
in mathematical tables,
864
input of,
184
manipulation of in symbolic form,
869
multiple,
865
standard forms for,
864
syntax of,
470
that cannot be done,
81,
861
Integrate,
68,
81,
82,
859,
862,
864,
865,
951,
1070,
1182
implementation of,
1070
Integration, as inverse of differentiation,
859
constants in,
860
constants of,
859
defining your own,
281
definite,
82,
865
errors in numerical,
952
genericity assumptions in,
860
indefinite, Integrate,
81,
859,
1182
Integrate,
81,
859,
1182
making definitions for,
864
numerical, NIntegrate,
103,
954,
1219
of derivatives,
869
of power series,
886
of rational functions,
862
symbolic, Integrate,
81,
859,
1182
variables in,
387,
860
Integration operators, syntax of,
1031
Intensity, GrayLevel,
499,
1165
of sound,
566
Interactive input, dialogs,
707
Interchange format, exporting, Export,
568,
1141
importing, Import,
570,
1176
Interchange values, Set (=),
305,
1277
Interface, command-line,
27,
48
for Mathematica,
44
graphical,
26,
49
notebook,
26,
49
test for type of, $Notebooks,
715,
1334
text-based,
27,
48
Interfaces, creating,
598
Interfacing with Mathematica,
204
Interior faces of three-dimensional objects,
529
Interior point methods, LinearProgramming,
1068,
1195
Interline spacing, LineSpacing,
611,
1196
Intermediate expression swell,
76
Intermediate expressions, tracing,
356
Intermediate files, in MathLink,
667
Intermediate results, monitoring, StepMonitor,
977,
1290
saving, Sow,
355,
1286
Intermediate variables,
378
Internal arithmetic,
734
Internal code of Mathematica,
76
Internal form, of expressions,
234
of graphics,
486
output of, FullForm,
230,
1158
Internal state, of pseudorandom generator, $RandomState,
748,
1336
Internals, of Mathematica,
218,
1066
International characters,
189,
421
in streams,
635
in symbol names,
1014
International keyboard,
xv
International keys, superscripts on,
177
Internet address, $MachineDomain,
718,
1331
Internet ports,
682
Interparagraph spacing, ParagraphSpacing,
611,
1237
InterpolatingFunction,
105,
252,
930,
962,
1182
implementation of,
1069
InterpolatingPolynomial,
808,
1183
Interpolation, derivatives in,
932
multidimensional,
934
of quantiles, Quantile,
925,
1253
Interpolation,
930,
931,
932,
933,
1183
InterpolationOrder,
933
Interpretation, setting up your own rules for,
476
Interpretation of input, ToExpression,
428,
464,
1307
InterpretationBox,
447,
1183
Interpreter, Mathematica as,
222
Interpreting input,
468
Interprocess communication,
215,
628,
657
Interquartile range, Quantile,
925,
1253
Interrupt,
371,
1184
Interrupts,
62,
370
in MathLink,
696
in MathLink, LinkInterrupt,
686,
1197
inspecting state during,
707
Intersecting surfaces,
537
Intersection,
127,
1184
\[Intersection]
( ),
183,
1002,
1373
Interval,
740,
894,
1184
Interval arithmetic,
740
IntervalIntersection,
741,
1184
IntervalMemberQ,
741,
1184
IntervalUnion,
741,
1184
\intop (TeX), \[Integral]
( ),
1000
Invariance, of Mathematica,
46
Invariant subspaces, JordanDecomposition,
915,
1190
Invariants, in elliptic functions, WeierstrassInvariants,
782,
1319
Inverse,
121,
903,
905,
1185
implementation of,
1069
Inverse CDF, Quantile,
925,
1253
Inverse functions,
89
power series for,
888
Inverse hyperbolic functions,
761
Inverse of a matrix, Inverse,
121,
903,
1185
Inverse trigonometric functions,
761
branch cuts in,
764
Inverse video,
504
InverseBetaRegularized,
770,
1185
InverseEllipticNomeQ,
782,
1185
InverseErf,
775,
1185
InverseErfc,
775,
1185
InverseFourier,
108,
935,
1186
InverseFourierCosTransform,
878,
1186
InverseFourierSinTransform,
878,
1186
InverseFourierTransform,
96,
876,
1187
InverseFunction,
89,
240,
253,
825,
1187
InverseFunctions,
824,
1187
InverseGammaRegularized,
770,
1188
InverseJacobiSN,
786
InverseJacobiSN, InverseJacobiCN, ...,
785,
1188
InverseLaplaceTransform,
96,
875,
1188
Inverses in finite fields, PowerMod,
752,
1248
InverseSeries,
887,
1188
InverseWeierstrassP,
785,
1188
InverseZTransform,
879,
1189
Inversion, Not (!),
87,
1221
Invisible, ReadProtected,
330,
1258
Invisible characters,
1008
Invisible contents, ShowContents,
455
Invisible notebooks,
592
Invisible selection, ShowSelection,
619,
1281
Invisible tags, in TraditionalForm,
195
Invisible windows, Visible,
620,
1319
\[InvisibleApplication]
( ),
183,
1008,
1373
\[InvisibleComma]
( ),
183,
1008,
1373
\[InvisibleSpace]
( ),
454,
1008,
1373
\[Iota]
( ),
990,
1373
Iota in APL, Range,
119,
1255
IPC,
215,
628,
657
IPX,
658
Irreducibility, of polynomials, Factor,
797,
1143
ISO Latin-1,
419,
421
ISO Latin-2,
421
ISO Latin/Cyrillic,
421
ISO standard C,
677
\it (TeX), FontSlant,
444,
612,
1151
Italian characters,
190,
998
Italic fonts,
444,
558,
612
Italicization, automatic, AutoItalicWords,
613,
1086
Italics, FontSlant,
444,
612,
1151
single letter, SingleLetterItalics,
613,
1283
Iterated functions, Nest,
241,
349,
1217
Iterated maps,
979
Iteration,
241
Do,
348,
1127
Iteration constructs,
112
variables in,
390
Iteration functions,
83,
1042
evaluation in,
343,
1046
forcing evaluation in,
344
$IterationLimit,
369,
1048,
1330
Iterative arrays, CellularAutomaton,
942,
1101
Iterators,
83,
116,
1042
evaluation of,
343,
1046
locality of variables in,
1042
IVPs, NDSolve,
962,
1216
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