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The Mathematica Book, version 5.0
Browsable Index
\P (TeX), \[Paragraph]
( ),
996
Packages,
59,
396
and notebooks,
205
automatic loading of,
60,
401
compared to notebooks,
61
contexts in,
392,
1016
files for, $BaseDirectory,
637,
1325
for symbolic mathematics,
97
interdependence between,
399
list of loaded, $Packages,
397,
1335
location of files for,
1063
names of,
396,
640
reading in,
59,
400
searching for,
640
setting up,
397
$Packages,
397,
1335
Packed arrays,
1066
Packets, in MathLink,
633,
683
names for,
700
PaddedForm,
437,
440,
1235
Padding, of cellular automata, CellularAutomaton,
949,
1101
of digits, IntegerDigits,
725,
1181
of lists, PadLeft,
128,
294,
1236
Pade technique, Apart,
1069,
1080
PadLeft,
128,
291,
294,
941,
1236
PadRight,
128,
291,
294,
1236
Page breaks,
609
ShowPageBreaks,
618,
1281
Page layout,
569
PageBreakAbove,
609,
1236
PageBreakBelow,
609,
1236
PageBreakWithin,
609,
1237
PageWidth,
609,
619,
634,
635,
1054,
1237
resetting for standard output, SetOptions,
635,
1278
Paint programs, input for, Import,
570,
1176
output for, Export,
568,
1141
Palette, basic,
176
Palette buttons, ButtonBox,
595,
1092
Palette element, ButtonBox,
448,
1092
Palette notebook, ButtonNotebook,
579,
1094
Palette window frame option,
621
Palette windows, WindowFloating,
620,
1321
Palettes,
35,
54
creating your own,
198
for Greek letters,
174
for special characters,
174,
982
formatting of,
452
Palindromes,
9
Paper copy, of notebook, NotebookPrint,
591,
1224
Paper output, of notebooks,
51
PaperWidth,
610
Parabolic cylinder functions,
768
Hypergeometric1F1,
779,
1171
\[Paragraph]
(),
996,
1385
Paragraph skip, ParagraphSpacing,
611,
1237
ParagraphIndent,
609,
611,
1237
ParagraphSpacing,
611,
1237
Parallel, \[DoubleVerticalBar]
( ),
1005
Parallel form of Map, MapThread,
247,
1206
Parallel Mathematica sessions,
657,
680
Parallel operations,
256
Parameters,
232
assumptions about, Assumptions,
867,
1084
defining, Set (=),
39,
1277
external, Environment,
716,
1134
in elliptic functions, InverseEllipticNomeQ,
782,
1185
in pure functions,
249
scoping of in pure functions,
385
special values of in equations,
830
Parametric amplifiers, MathieuS,
789,
1207
Parametric surfaces,
164
ParametricPlot,
161,
162,
487,
1237
ParametricPlot3D,
163,
487,
969,
1238
Parametrized zeros,
735
Parent subexpression, selecting,
180
ParentDirectory,
637,
1238
Parentheses,
29,
42,
233,
1022,
1031
colored, ShowAutoStyles,
613,
1280
in function input, TraditionalForm,
194,
1313
in output,
474
unmatched,
1037
Parenthesis, horizontal, \[UnderParenthesis]
( ),
997
Parenthesization, in Mathematica input,
468
$ParentLink,
686,
716,
1335
$ParentProcessID,
716,
1335
Parse trees,
237
Parser, input,
1021
redefining the,
476
Parser construction, ReplaceList,
302,
1263
Parsing,
468
errors in,
51
of data files,
647
of input, ToExpression,
428,
464,
1307
of strings,
654
processing before, $PreRead,
703,
1336
\parskip (TeX), ParagraphSpacing,
611,
1237
Part,
41,
42,
73,
117,
118,
120,
122,
234,
235,
285,
898,
1014,
1024,
1040,
1238
\partial (TeX), \[PartialD]
( ),
994,
1000
Partial derivatives, D,
80,
853,
1117
input of,
186
Partial difference equations, RSolve,
893,
1269
Partial differential equations,
962
DSolve,
874,
1129
NDSolve,
970,
1216
numerical, NDSolve,
106,
1216
Partial fractions, Apart,
70,
802,
1080
Partial quotients, ContinuedFraction,
754,
1112
Partial recurrence equations, RSolve,
893,
1269
\[PartialD]
(),
184,
185,
994,
1000,
1385
Partition,
128,
130,
291,
292,
293,
938,
1240
Partitions, number of, Multinomial,
758,
1214
number of, PartitionsP,
759,
1240
number of, PartitionsQ,
759,
1240
number of, StirlingS2,
759,
1290
PartitionsP,
757,
759,
1067,
1240
implementation of,
1067
PartitionsQ,
757,
759,
1240
Parts, extracting without evaluation, Extract,
339,
1142
finding positions of, Position,
124,
261,
1247
input of,
184
numbering of,
1040
of algebraic expressions,
73
of expressions, Part,
234,
1014,
1040,
1238
of lists,
41,
122
of strings, StringTake,
407,
1293
picking out ranges of,
235
replacing,
285
replacing, ReplacePart,
125,
288,
1263
replacing without evaluation, ReplacePart,
339,
1263
specifications of sequences of,
1040
Parts of expressions, applying functions to,
244
applying functions to numbered, MapIndexed,
246,
1205
applying functions to specific, MapAt,
246,
1205
Pascal, in MathLink,
658
Passing of arguments, mechanism for,
387
$PasswordFile,
718
Passwords, for encoded files,
626
Paste button action,
200,
596
Pasting, in notebooks, NotebookWrite,
585,
1225
Pasting of boxes,
461
Path, context search, $ContextPath,
394,
1327
for external programs,
659
for files, $Path,
207,
1335
Path,
637,
1240
$Path,
206,
207,
637,
659,
1335
Path integral, \[CapitalDifferentialD]
( ),
994
Pattern (:),
263,
1028,
1030,
1240
Pattern variables, Blank (_),
259,
1090
names of,
263
scope of,
263,
386
Patterns,
113,
259,
1049
alternatives in,
269
an example of defining an integration function,
281
associative functions in,
271
conditions on, Condition (/;),
265,
1111
constraints on, Condition (/;),
265,
1111
deleting elements that match, DeleteCases,
262,
1120
equality testing and,
260
evaluation in,
340
examples of,
259
finding elements that match, Cases,
261,
1096
flat functions in,
270
for algebraic expressions,
261,
279
for common types of expressions,
278
for files, FileNames,
638,
1145
for linear expressions,
280
for numbers,
279
for quadratic expressions,
280
for strings,
406,
411
implementation of,
1066
in controlling expansion,
798
in rearranging polynomials, Collect,
799,
1106
multiple cases in,
270
naming of,
263
non-unique matches in,
270
number types in,
724
optional arguments in,
274
ordering of testing cases for,
1050
orderless functions in,
270
repeated,
277
scoping of,
386
testing for matching of, MatchQ,
268,
347,
1206
types of expressions in,
264
unevaluated objects in, HoldPattern,
340,
1170
PatternTest (?),
269,
1024,
1241
Pause,
710,
1241
Pay-off functions, Minimize,
850,
1212
NMinimize,
974,
1220
PBM graphics format, exporting, Export,
568,
1141
importing, Import,
570,
1176
pd, \[PartialD]
(),
185
PDEs, DSolve,
874,
1129
NDSolve,
970,
1216
numerical, NDSolve,
106,
1216
PDF,
794
Pell equations,
842
Reduce,
1070,
1261
Pending evaluations, Stack,
367,
1289
Pendulum,
783
Penning traps, MathieuS,
789,
1207
Pentagon,
495
Percent, in notebooks,
38
Percent (%), Out,
38,
1234
Percentiles, Quantile,
795,
925,
1253
Performance analysis,
220
Timing,
711,
1306
Periodic potentials, MathieuS,
789,
1207
Periodic signals, Fourier transforms of,
936
Permutations, enumeration of, StirlingS1,
759,
1290
finding, Ordering,
129,
255,
1233
Permutations,
129,
1241
Permute values, Set (=),
305,
1277
\perp (TeX), \[UpTee]
( ),
1007
Perpendicular, \[UpTee]
(),
1007
Persistent objects,
383
Perspective effects,
153,
533
PGM graphics format, exporting, Export,
568,
1141
importing, Import,
570,
1176
\phantom (TeX), ShowContents,
455
Phase, Arg,
34,
746,
1083
Phase plots, NDSolve,
105,
133,
1216
Phi, GoldenRatio,
765,
1162
\[Phi]
( ),
175,
990,
1385
Phonetic spelling correction,
1072
Phong lighting model,
547
Pi,
32,
765,
1067,
1241
implementation of,
1067
input of,
175
\[Pi]
( ),
175,
182,
988,
990,
1385
Piano,
172
Picking elements of lists, Select,
251,
1273
PICT, exporting, Export,
568,
1141
importing, Import,
570,
1176
Picture size, ImageSize,
569,
616,
1174
Pictures,
486
exporting, Export,
208,
567,
1141
PID, $ProcessID,
716,
1336
Pie slices, Disk,
496,
1125
Piecewise continuous functions, UnitStep,
879,
1316
Piecewise functions, If,
87,
1173
Which,
346,
1320
Piecewise linear functions, Interpolation,
933,
1183
PieChart,
168
Pilcrow sign, \[Paragraph]
(),
996
Pipes,
215,
628
as streams,
631
named,
658
reading data from, ReadList,
649,
1257
reading from, Get (<<),
215,
1162
running Mathematica through,
1057
writing to, Put (>>),
215,
1253
Pipes protocol, LinkProtocol,
677,
1198
Pixel array, Raster,
492,
497,
1255
Pixel motion, in formatting,
455
Pixel size,
453
Pixmap graphics format, exporting, Export,
568,
1141
importing, Import,
570,
1176
\[Placeholder]
( ),
199,
587,
1008,
1385
Placeholders, in buttons,
55
Planar polygons,
524
Planck's constant, \[HBar]
( ),
994
Platform, computer, $System,
717,
1338
Platform dependence, of MathLink programs,
676
Play,
171,
565,
1241
PlayRange,
172,
1242
Plot,
131,
487,
1242
evaluation in,
336,
343
options for,
134
styles of curves in, PlotStyle,
503,
1244
Plot3D,
149,
156,
487,
537,
542,
1242
evaluation in,
343
options for,
151
Plot3Matrix (Version 1 option), see ViewCenter,
1402
PlotDivision,
138,
1243
PlotJoined,
159,
1243
PlotLabel,
134,
511,
549,
558,
1243
PlotPoints,
137,
138,
147,
148,
151,
1243
PlotRange,
134,
137,
147,
151,
507,
508,
540,
1243
finding setting for, AbsoluteOptions,
145,
490,
1075
in three-dimensional graphics,
530
PlotRegion,
507,
509,
1244
for three-dimensional plots,
535
Plots,
131
arbitrary-precision numbers in,
138
arrays of, GraphicsArray,
139,
487,
1165
aspect ratio of, AspectRatio,
134,
1084
automatic choice of range in,
136
axes in,
134,
512,
549
axis labels, AxesLabel,
134,
512,
1087
axis position, AxesOrigin,
512,
1087
boundary of, PlotRange,
134,
1243
color of curves in, PlotStyle,
500,
1244
combining, Show,
139,
1280
compilation of functions in,
138
contour, ContourPlot,
146,
517,
1113
converting between types of,
157
density, DensityPlot,
146,
517,
1121
efficiency of,
138
evaluation in,
338
evaluation of functions in,
132
false color, ColorFunction,
147,
517,
1106
frames in, Frame,
134,
511,
514,
1155
from tables of functions,
132
full story on,
486
generating without displaying,
491
generating without rendering,
170
glitches in,
137
grid lines in, GridLines,
134,
511,
1167
internal representation of,
143
labeling three-dimensional,
548
labeling two-dimensional,
511
labels on, PlotLabel,
134,
511,
1243
limits of, PlotRange,
134,
1243
log,
168
of lists, ListPlot,
158,
1202
of lists of functions,
132
of surfaces, Plot3D,
149,
1242
overlaying, Show,
139,
1280
packages for,
167
parametric, ParametricPlot,
161,
1237
points to sample in, PlotPoints,
138,
1243
polar,
168
range of, PlotRange,
134,
1243
redrawing, Show,
139,
1280
region in, PlotRange,
134,
1243
semilog, LogPlot,
168
shaded,
146
shading functions in three-dimensional,
156
shape of, AspectRatio,
134,
509,
1084
smoothness of,
137
styles of curves in, PlotStyle,
138,
1244
subdivision level in, PlotDivision,
138,
1243
superimposing, Show,
139,
1280
text in,
556
three-dimensional, Plot3D,
149,
1242
tick marks in, Ticks,
134,
552,
1305
view point for, ViewPoint,
152,
532,
1319
within plots,
516
PlotStyle,
138,
500,
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