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The Mathematica Book, version 5.0
Browsable Index
F-distribution, FRatioDistribution,
794
F-ratio distribution, FRatioDistribution,
794
Face, for fonts, FontWeight,
444,
612,
1152
\[HappySmiley]
( ),
995
FaceForm,
529,
1142
FaceGrids,
151,
152,
549,
553,
1142
Faces, for text in graphics,
558
of polygons,
529
Facet, Polygon,
521,
1245
Factor,
67,
69,
797,
802,
806,
809,
1069,
1143
implementation of,
1069
FactorComplete,
751
Factorial (!),
31,
757,
1025,
1143
implementation of,
1067
Factorial function, as example of definitions,
309
generalized, Gamma,
770,
1160
Factorial simplification, FullSimplify,
813,
1159
Factorial2 (!!),
757,
1025,
1143
Factoring, algorithms for,
223
limits on integer,
751
of integers, FactorInteger,
31,
750,
1143
of matrices,
914
of polynomials, Factor,
67,
797,
1143
of polynomials over finite fields,
809
speed of,
77
trigonometric, TrigFactor,
71,
811,
1314
FactorInteger,
31,
76,
750,
1067,
1143
implementation of,
1067
FactorList,
806,
1143
FactorSquareFree,
806,
1144
FactorSquareFreeList,
806,
1144
FactorTerms,
70,
797,
806,
1144
FactorTermsList,
806,
1144
Facts, mathematics,
817
$Failed,
623,
1329
False,
85,
136,
345,
1144
Family, of font, FontFamily,
444,
612,
1151
FASL files, DumpSave,
627,
1129
\fbox (TeX), FrameBox,
446,
1156
Feet, \[Prime]
( ),
996,
1250
Fence, \[LeftBracketingBar]
( ),
1002
Fence characters,
987
Fermat's Little Theorem,
73,
752
Fermi-Dirac integrals, LerchPhi,
773,
1193
Feynman diagram integrals,
773
FFT, Fourier,
108,
935,
1154
FFT multiplication, Times (*),
1067,
1306
Fibonacci,
757,
758,
1144
implementation of,
1067
Fibonacci equations, solving, RSolve,
891,
1269
Fibonacci function, as example of memo function,
315
Fiducial marks, Ticks,
512,
552,
1305
Field, Galois,
809
Field extensions,
809
Fields,
73,
817,
839
algebraic number,
809,
826
plotting vector, PlotVectorField,
168
File, current input, $Input,
639,
1330
File extensions,
1053
File format, notebook,
578,
1403
File locations, in front end,
622
File names,
1033
for packages,
400
metacharacters in,
637,
1033,
1053
processing of,
640,
1053
File pointer (current point),
650
FileByteCount,
641,
1145
FileDate,
641,
1145
FileNames,
206,
638,
1145
Files,
204,
623
accessing related,
639
as streams,
631
automatic loading of,
401
character encodings in, $CharacterEncoding,
422,
1327
configuration,
1063
copying, CopyFile,
206,
641,
1114
copying directories of, CopyDirectory,
641,
1114
current, $Input,
705,
1330
current point in,
650
deleting, DeleteFile,
206,
641,
1120
directories for,
206,
636
displaying,
204
encoding of,
626
end of, EndOfFile,
649,
1134
exporting data to, Export,
642,
1141
finding, FileNames,
206,
638,
1145
importing data from, Import,
642,
1176
list of loaded, $Packages,
397,
1335
list of open, Streams,
705,
1290
modification dates for, FileDate,
641,
1145
moving, RenameFile,
641,
1262
names on different computer systems,
207,
639,
1053
naming of,
636
of messages,
482
positions in, StreamPosition,
653,
1290
random access to, SetStreamPosition,
653,
1279
reading data from, Import,
207,
1176
reading data from, ReadList,
644,
1257
reading from, Get (<<),
204,
623,
1162
reading into strings,
655
removing, DeleteFile,
206,
1120
renaming, RenameFile,
641,
1262
search path for, $Path,
206,
637,
1335
searching,
650
splicing into, Splice,
214,
1288
start up,
1056
superscripts in,
177
syntax errors in,
623
system,
1061
turning into strings, ReadList,
647,
1257
types of, FileType,
641,
1145
writing data to, Export,
207,
1141
writing to, Put (>>),
204,
624,
1253
FileType,
641,
1145
Filled boxes, \[SelectionPlaceholder]
( ),
1008
Filled region, Polygon,
492,
1245
\[FilledCircle]
( ),
995,
1369
\[FilledDiamond]
( ),
995,
1369
\[FilledDownTriangle]
( ),
995,
1369
\[FilledRectangle]
( ),
995,
1369
\[FilledSmallCircle]
( ),
995,
1369
\[FilledSmallSquare]
( ),
995,
1370
\[FilledSquare]
( ),
995,
1370
\[FilledUpTriangle]
( ),
995,
1370
\[FilledVerySmallSquare]
( ),
995,
1370
Filter, external, RunThrough,
630,
1270
Filtering, of data, ListConvolve,
937,
1200
of data read from files, RecordSeparators,
648,
1259
Filtering lists, Select,
251,
1273
\[FinalSigma]
( ),
990,
1370
Find, in notebooks, NotebookFind,
584,
1223
Find,
652,
656,
1146
find in Unix, FileNames,
638,
1145
Find link, LinkConnect,
680,
1197
FindFit,
108,
929,
1146
implementation of,
1069
FindInstance,
838,
844,
845,
1147
FindList,
207,
650,
651,
656,
1147
FindMaximum,
107,
1147
implementation of,
1068
FindMinimum,
107,
973,
1068,
1148
implementation of,
1068
FindRoot,
89,
104,
960,
1068,
1149
implementation of,
1068
Finishing Mathematica, Quit,
28,
1057,
1254
Finite difference equations, RSolve,
891,
1269
Finite difference methods, ListConvolve,
937,
1200
Finite element methods,
920
Finite fields,
809
inverses in, PowerMod,
752,
1248
Mod,
749,
1213
polynomials over,
809
powers in, PowerMod,
752,
1248
FIR filters, ListConvolve,
937,
1200
First,
122,
1149
First occurrence, Select,
251,
1273
Fit,
107,
926,
928,
929,
1149
implementation of,
1069
Fits, linear, FindFit,
929,
1146
multivariate, Fit,
928,
1149
polynomial, FindFit,
929,
1146
quadratic, FindFit,
929,
1146
FITS format, exporting, Export,
208,
1141
importing, Import,
208,
1176
Fitting, nonlinear,
109
Fitting of data, Fit,
926,
1149
\[FivePointedStar]
( ),
995,
1370
Fixed aspect ratio, AspectRatioFixed,
616,
1084
Fixed spacing, LineSpacing,
611,
1196
Fixed variables, With,
380,
1323
Fixed-point notation,
435
Fixed-precision numbers,
728,
737
FixedPoint,
241,
349,
1149
FixedPointList,
241,
1150
Flashing,
1071
of brackets, DelimiterFlashTime,
613,
1120
Flashing blob, ShowCursorTracker,
613,
1072,
1281
Flat,
271,
329,
332,
1050,
1150
\[Flat]
( ),
996,
1370
Flat functions, in patterns,
261,
270,
271
Flat operators,
470
Flatten,
130,
255,
290,
306,
1150
FlattenAt,
255,
1150
Flattening, of associative functions,
326
Flexible Image Transport System, exporting, Export,
208,
1141
importing, Import,
208,
1176
Flicker,
1071
avoiding, ShowSelection,
619,
1281
float C type,
678
Floating, of windows, WindowFloating,
620,
1321
Floating licenses,
1058
$NetworkLicense,
718
Floating-point decomposition, MantissaExponent,
726,
1204
Floating-point hardware,
738
Floating-point numbers, in MathLink,
678
Real,
722,
1258
Floor,
745,
1150
implementation of,
1067
Floquet's Theorem,
789
Flow of control,
348
Fluid variables, Block,
389,
1091
Flush left, TextAlignment,
610,
1303
Flush right, TextAlignment,
610,
1303
Fluxion notation,
188
Focus notebook, SelectedNotebook,
579,
1273
Fold,
243,
1151
Folded polygons,
495
Folded surfaces,
537
Folders (directories),
206,
636
operations on,
641
FoldList,
243,
250,
1151
Font, symbol,
422
Font encodings, CharacterEncoding,
421,
1102
Font matching,
1010
Font options,
609
Font size,
453
FontColor,
444,
612,
1151
FontFamily,
444,
558,
612,
1151
FontPostScriptName,
612
FontProperties,
613
Fonts, for plot labels, StyleForm,
558,
1295
for special characters,
613
for text in graphics,
558
in output, StyleForm,
443,
1295
searching for,
612
sizes of,
558
FontSize,
444,
558,
574,
612,
1151
FontSlant,
444,
612,
1151
FontSubstitutions,
612,
1152
FontTracking,
612,
1152
FontWeight,
444,
558,
612,
1152
For,
352,
1152
ForAll,
847,
1152
\[ForAll]
( ),
1001,
1370
Forcing, page breaks,
609
Forcing evaluation, Evaluate,
337,
1136
Foreign characters,
190,
421,
998
Foreign data, exporting, Export,
208,
642,
1141
importing, Import,
208,
642,
1176
reading, Import,
207,
1176
writing, Export,
207,
1141
Foreign keyboard,
xv
Fork, Run,
629,
1269
Formal logic, operations in,
86
pure functions in,
249
Formal manipulation,
63
Formal parameters, in pure functions,
249
scoping of,
385
Formal power series, ZTransform,
879,
1325
Format, defining output,
473
for graphics,
568
for output to files,
624
matrix, MatrixForm,
120,
1207
notebook,
578
of files,
1053
of numbers,
435
options for output, FormatType,
634,
1153
tabular, TableForm,
116,
439,
1299
Format,
473,
1153
Format statement, StringForm,
433,
1291
Formats, export, $ExportFormats,
208,
1328
import, $ImportFormats,
208,
1329
Formatting, of output,
424
speed of,
77
FormatType,
556,
634,
1054,
1153
$FormatType,
556,
1329
FormatValues,
1052
FormBox,
447,
463,
1153
Forms, special input,
1024
Formulas,
63
exporting,
210,
430
importing,
430
in text,
196
in text-based interfaces,
193
input of,
182
involving special functions, FullSimplify,
792,
1159
Fortran,
xiv,
213
efficiency of, Compile,
213,
1109
formatting in,
433
in MathLink,
658
iteration in,
112
number format in,
644
numerical output form in,
437
Fortran output, defining,
474
FortranForm,
213,
425,
1153
Fourier,
108,
876,
935,
936,
937,
1154
implementation of,
1069
Fourier transforms, conventions for,
936
Fourier,
108,
935,
1154
multidimensional, Fourier,
937,
1154
origin in,
936
real, FourierSinTransform,
878,
1154
FourierCosTransform,
878,
1154
FourierParameters,
937
FourierSinTransform,
878,
1154
FourierTransform,
96,
876,
1155
\frac (TeX), FractionBox,
445,
1155
Fractal, DigitCount,
756,
1123
Fractal example,
10
Fraction bars, thickness of, SpanLineThickness,
456
FractionalPart,
745,
979,
1155
FractionBox,
445,
1155
Fractions, entering,
36
input of,
178
Fraktur characters,
992
Frame, around window, WindowFrame,
620,
1321
Frame,
134,
489,
511,
514,
1155
FrameBox,
446,
1156
\framebox (TeX), FrameBox,
446,
1156
Framed (Version 1 option), see Frame,
1402
FrameLabel,
134,
514,
1156
Frameless window frame option,
621
Frames, for cells, CellFrame,
604,
1098
for cells, CellFrameMargins,
605,
1098
FrameStyle,
514,
1156
FrameTicks,
134,
514,
1156
Framing, of three-dimensional image, ViewCenter,
534,
1318
FRatioDistribution,
794
\[FreakedSmiley]
( ),
995,
1370
Freeing of memory,
712
FreeQ,
124,
236,
268,
1156
levels in,
1041
French characters,
190,
998
French language messages,
483
Frequency, of tones,
171
Frequency dimension, FourierTransform,
876,
1155
Frequency spectrum, Fourier,
108,
877,
935,
1154
Fresh notebook, NotebookCreate,
591,
1222
FresnelC,
775,
1157
FresnelS,
775,
1157
Frobenius norm, Tr,
913,
1310
FromASCII (Version 1 function), see FromCharacterCode,
1402
FromCharacterCode,
417,
423,
1157
FromContinuedFraction,
754,
1157
implementation of,
1067
FromDate,
710,
1157
FromDigits,
725,
1158
Front end, executing commands in,
594
manipulating cells in,
574
Mathematica,
27,
44
MathLink communication with,
686
processing of graphics by,
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