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The Mathematica Book, version 5.0
Browsable Index
.m files,
205,
1053
.ma files,
1053
Machine arithmetic,
728,
737
Machine dependence, of file names,
639
Machine independence,
46
Machine-precision arithmetic, intervals in,
741
Machine-precision numbers,
728,
737
Machine-size numbers, in compilation,
375
$MachineDomain,
718,
1331
$MachineEpsilon,
739,
1331
MachineID,
626
$MachineID,
718,
1331
$MachineName,
718,
1331
MachineNumberQ,
728,
1203
MachinePrecision,
728,
1203
$MachinePrecision,
728,
739,
1332
$MachineType,
717,
1332
Macintosh, character encoding,
421
file names on,
639,
1053
Macintosh (notebook interface),
26,
49
Macintosh command key, \[CloverLeaf]
( ),
1009
Macintosh PICT, exporting, Export,
568,
1141
importing, Import,
570,
1176
Maclaurin series, Series,
883,
1276
Macron mark,
998
Macros,
110
text, $PreRead,
703,
1336
user-defined, InputAutoReplacements,
613,
1179
With,
380,
1323
Magenta,
500
Magic numbers, for executables,
676
Magnification,
604,
619,
1204
MagnificationPopup window element,
621
Magnitude, Abs,
745,
1075
notation for, \[LeftBracketingBar]
( ),
1002
Magnitude of complex number, Abs,
746,
1075
Main directory, $InstallationDirectory,
637,
1330
Main loop, in MathLink,
685
of Mathematica,
702,
1056
subsidiary,
708
main(),
664,
679
arguments to,
698
Maintain unevaluated (hold),
336
Make 2D menu item,
176,
177,
430,
461
MakeBoxes,
475,
1204
MakeExpression,
475,
1204
Manipulation, of algebraic expressions,
69,
797
of strings,
407
of trigonometric expressions,
811
Mantissa,
437,
1021
MantissaExponent,
726,
1204
Manual MathLink type,
665
Manufacturer, $MachineType,
717,
1332
Map (/@),
244,
245,
284,
1025,
1205
levels in,
1041
MapAll (//@),
245,
254,
1025,
1205
MapAt,
245,
246,
1205
MapIndexed,
246,
284,
1205
levels in,
1041
Mapping, of characters,
417
Mappings, functions as,
309
\mapsto (TeX), \[RightTeeArrow]
( ),
1006
MapThread,
247,
1206
Margins, around windows, WindowMargins,
620,
1322
for cells, CellMargins,
605,
1099
for plots, PlotRegion,
509,
1244
of box, BoxMargins,
455
Marichev-Adamchik methods, Integrate,
1070,
1182
Marker, alignment, \[AlignmentMarker]
( ),
451
cell, ShowCellBracket,
604,
1280
Markers, in data files, TokenWords,
648,
1308
Markings, on axes, Ticks,
512,
552,
1305
Markowitz products, Solve,
1068,
1285
Marks, in MathLink,
693
in numbers, NumberMarks,
730,
1228
Markup, for web, MathMLForm,
211,
1207
Marsaglia-Zaman generator, Random,
1067,
1254
Mask, BitAnd,
756,
1089
Masking, of images, ListConvolve,
937,
1200
Master files, for packages,
640,
1065
Master index, online,
57
MAT format, exporting, Export,
208,
1141
importing, Import,
208,
1176
Matches, non-unique,
270,
274,
1050
Matchfix operators,
468,
1021
Matching, implementation of,
1066
of brackets, DelimiterFlashTime,
613,
1120
of fonts,
613,
1010
of patterns,
259,
1049
of strings, StringMatchQ,
411,
1292
putting constraints on, Condition (/;),
265,
1111
Matching characters,
1003
MatchLocalNames,
365,
1206
MatchQ,
268,
346,
347,
1206
Material implication, Implies,
834,
1174
Materials, reflection properties of,
547
$MATHEMATICA_BASE environment variable,
1055
$MATHEMATICA_USERBASE environment variable,
1055
\[MathematicaIcon]
( ),
995,
1378
Mathematical constants,
32,
765
Mathematical equivalence, Equal (==),
347,
1135
Mathematical facts,
817
Mathematical functions, general conventions for,
1043
naming conventions for,
745
Mathematical notation, for derivatives,
856
in notebooks,
35
traditional,
37
TraditionalForm,
193,
1313
Mathematical operations,
79
Mathematical physics, special functions of,
769
Mathematical relations,
281
Mathematical tables, integrals in,
864
Mathematics of computation,
327
MathieuC,
789,
1206
MathieuCharacteristicA,
789,
1206
MathieuCharacteristicB,
789,
1206
MathieuCharacteristicExponent,
789,
1207
MathieuCPrime,
789,
1207
MathieuS,
789,
1068,
1207
MathieuSPrime,
789,
1207
$MATHINIT environment variable,
1055
$MATHKERNELINIT environment variable,
1055
MathLink,
44,
216,
657
intermediate files in,
667
MathLink files,
1053
MathLink library, listing of functions in,
1340
MathLink templates,
659
mathlink.h,
677
MathLive,
20
mathlm,
1058
MathMLForm,
211,
425,
1207
MathReader,
53
Matrices,
118,
896
applying functions to,
244,
245
band diagonal,
897
columns of,
898
columns of, Part,
120,
1238
components of, Part,
118,
1238
condition number of, SingularValueList,
913,
1283
construction of,
896
determinants of, Det,
121,
905,
1122
diagonal, DiagonalMatrix,
120,
896,
1122
division of, LinearSolve,
907,
1195
eigenvalues of, Eigenvalues,
121,
910,
1131
eigenvectors of, Eigenvectors,
121,
910,
1131
elements of, Part,
118,
1238
exponentials of, MatrixExp,
906,
1207
exporting, Export,
208,
1141
extracting columns of,
898
extracting pieces of,
898
extracting submatrices of,
898
formatting of,
439
formatting of, GridBox,
445,
1167
formatting of, MatrixForm,
120,
1207
from linear equations, CoefficientArrays,
922,
1105
functions of, JordanDecomposition,
915,
1190
generalized inverses of, PseudoInverse,
914,
1252
generating, Array,
250,
1083
generation of,
120,
896
Hilbert,
121
identity, IdentityMatrix,
120,
896,
1173
ill-conditioned,
904
importing, Import,
208,
1176
input of,
186
inversion of, Inverse,
121,
903,
1185
Jordan decomposition of, JordanDecomposition,
915,
1190
kernel of, NullSpace,
908,
1227
left multiplication, Dot (.),
902,
1127
linear programming,
975
lower triangular,
897
minors of, Minors,
905,
1212
Moore-Penrose inverse of, PseudoInverse,
914,
1252
multiplication by scalar of,
901
multiplication by vectors of, Dot (.),
901,
1127
multiplication of, Dot (.),
119,
901,
1127
null spaces of, NullSpace,
907,
1227
operations on,
900,
905
outer products of, Outer,
901,
1234
patterns for,
280
powers of, MatrixPower,
906,
1208
pseudoinverses of, PseudoInverse,
914,
1252
QR decomposition of, QRDecomposition,
914,
1253
random,
897
rank of, MatrixRank,
910,
1208
reading from data files, ReadList,
644,
1257
rectangular,
909
resetting parts of,
126,
285,
899
right multiplication, Dot (.),
902,
1127
row reduction of, RowReduce,
907,
1268
rows of, Part,
118,
1238
Schur decomposition of, SchurDecomposition,
915,
1271
singular,
904
singular value decomposition of, SingularValueDecomposition,
914,
1283
sparse, SparseArray,
295,
920,
1287
special types of,
897
symbolic representation of,
902
testing for, MatrixQ,
267,
900,
1208
trace of, Tr,
905,
1310
transpose of, Transpose,
121,
905,
1313
tridiagonal,
897
upper triangular,
897
zero,
897
Matrix equations,
829
existence and uniqueness of solutions,
908
LinearSolve,
907,
1195
Matrix indices, commas between,
1008
Matrix inversion, approximate numerical,
904
assumption of non-zero determinant in,
903
high-precision numbers in,
904
numerical errors in,
904
speed of,
77
Matrix Market format, exporting, Export,
208,
1141
Import,
923,
1176
importing, Import,
208,
1176
Matrix pencils, Eigenvalues,
913,
1131
MatrixExp,
906,
1069,
1207
implementation of,
1069
MatrixForm,
120,
439,
1207
MatrixPower,
906,
1208
MatrixQ,
267,
900,
1208
MatrixRank,
907,
910,
1208
implementation of,
1069
Matte surfaces,
546
Max,
31,
129,
745,
1208
MaxBend,
138,
1208
$MaxExtraPrecision,
733,
1332
Maximal element, of list, Max,
129,
1208
Maximization, numerical, NMaximize,
106,
974,
1219
Maximize,
92,
850,
951,
1209
implementation of,
1070
Maximum, Max,
31,
745,
1208
$MaxLicenseProcesses,
718
$MaxMachineNumber,
739,
1017,
1332
MaxMemoryUsed,
712,
713,
1209
$MaxNumber,
739,
1332
$MaxPrecision,
736,
1332
MaxRecursion,
956
MaxSteps,
966,
968
MaxStepSize,
966
mcc,
661,
677
mdefs.h,
213
Mean,
109,
794,
924,
1209
Measure of complexity, ComplexityFunction,
815,
1110
\[MeasuredAngle]
( ),
996,
1378
Measures (units),
78
Media (streams),
630
Median, Quantile,
795,
1253
Median,
109,
924,
1209
Medical imaging, exporting, Export,
568,
1141
importing, Import,
570,
1176
\[MediumSpace]
( ),
454,
1008,
1378
Megabytes, of memory used,
713
MeijerG,
780,
872,
1209
Mellin transform, program for,
18
Mellin transform methods, DSolve,
1071,
1129
Integrate,
1070,
1182
MemberQ,
124,
268,
1210
Membership test, MemberQ,
124,
1210
Memo functions,
314
Memory, allocation by Mathematica,
712
arrangement of expressions in,
221
disowning in MathLink,
674
in infinite loops,
370
limitations imposed by size of,
75
optimizing use of,
714
saving,
703
used by expressions, ByteCount,
714,
1095
Memory allocation, in MathLink,
667
Memory management,
221,
712,
1066
MemoryConstrained,
713,
1210
MemoryInUse,
712,
1210
Menu, interrupt,
62
palettes,
35
Menu item, for creating arrays,
186
Menu settings, for front end,
622
Menus, executing from kernel, FrontEndTokenExecute,
593
Merging lists, Union,
126,
1315
Mesh,
148,
151,
517,
539,
540,
1210
MeshRange,
539,
1210
MeshStyle,
503,
517,
539,
1210
Message,
482,
1211
channel for,
633
Message options, for front end,
622
MessageList,
481,
702,
1211
$MessageList,
481,
709,
1333
MessageName (::),
479,
1024,
1211
MessageOptions,
592
MessagePacket,
684,
700
$MessagePrePrint,
480,
706,
1333
Messages,
61,
479
about new symbols,
404
checking for, Check,
481,
1102
full form of, $MessagePrePrint,
706,
1333
in object-oriented programming,
319
international,
483,
706
languages for, $Language,
706,
1331
preprocessing of, $MessagePrePrint,
706,
1333
suppressing,
61,
479
switching off,
61,
479
switching on,
61,
479
symbol creation,
1015
tracing of, Trace,
358,
1310
usage,
484
Messages,
479,
1052,
1211
$Messages,
705,
1333
Messaging mechanisms,
657
Metacharacters,
58,
411
in file names,
637,
1053
Metafile format, exporting, Export,
568,
1141
importing, Import,
570,
1176
Metallic surfaces,
547
Method,
978
Method of lines, NDSolve,
1068,
1216
Method of undetermined coefficients, SolveAlways,
833,
1285
Methods, in object-oriented programming,
319
Metric, Norm,
119,
1221
Metric tensors,
915
MGF graphics format, exporting, Export,
568,
1141
importing, Import,
570,
1176
\[Mho]
( ),
994,
1378
\[Micro]
( ),
192,
984,
994,
1378
Microsoft metafile format, exporting, Export,
568,
1141
importing, Import,
570,
1176
Microsoft wave format, exporting, Export,
569,
1141
importing, Import,
570,
1176
Microsoft Windows, character encoding,
421
files in, DOSTextFormat,
1054
Microsoft Windows (notebook interface),
26,
49
Microsoft Word,
20
\mid (TeX), \[VerticalBar]
( ),
1005
Miller-Rabin test, PrimeQ,
1067,
1250
Min,
31,
129,
745,
1212
Minimal element, of list, Min,
129,
1212
Minimal polynomial,
826
Minimax approximations,
1068
Minimization, errors in numerical,
953
exact, Minimize,
850,
1212
numerical, FindMinimum,
973,
1148
numerical, NMinimize,
106,
974,
1220
Minimize,
92,
850,
851,
852,
1070,
1212
implementation of,
1070
Minimum, Min,
31,
745,
1212
$MinMachineNumber,
739,
1017,
1333
$MinNumber,
739,
1333
Minors,
905,
1212
$MinPrecision,
736,
1333
MinRecursion,
956
Minus (-),
29,
1027,
1212
\[MinusPlus]
( ),
1000,
1378
Minute, Date,
709,
1117
Minutes, \[Prime]
( ),
996,
1250
Mirrors,
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