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The Mathematica Book, version 5.0
Browsable Index
E,
32,
765,
1130
implementation of,
1067
e format,
29
\[EAcute]
( ),
190,
998,
1367
\[EBar]
( ),
998,
1367
EBCDIC, preprocessing, $PreRead,
703,
1336
Echelon form, of matrices,
914
of matrices, RowReduce,
907,
1268
$Echo,
705,
1328
echo Unix command,
628
\[ECup]
( ),
998,
1367
EdgeForm,
528,
1130
Edges, of cells, CellMargins,
605,
1099
Edges of plot, labeling,
514
Edit Button menu item,
595
Edit Style Sheet menu item,
574,
602
Editable,
448,
574,
607,
619,
1130
EditBar toolbar element,
622
Editing, in TraditionalForm,
195
of strings, StringReplace,
410,
1292
of two-dimensional expressions,
180
output in notebooks,
50
Editing operations, DragAndDrop,
615,
1128
Edition, changes since earlier,
1402
\[EDoubleDot]
( ),
998,
1367
ee, \[ExponentialE]
( ),
988
Efficiency, compilation for increasing,
372
Compile,
213,
1109
in forcing evaluation in iteration functions,
344
in tracing,
362
measurements of, Timing,
711,
1306
of applying rules, Dispatch,
303,
1125
of building up lists,
306
of plots,
138
of Simplify,
69,
814
of using upvalues,
317
Efficiency of algorithms,
220
\[EGrave]
( ),
190,
998,
1367
\[EHat]
( ),
998,
1367
Eigensystem,
910,
1130
Eigenvalues, difficulty of finding explicit forms for,
911
for non-symmetric matrices,
911
number of,
911
numerical, Eigenvalues,
122,
910,
1131
Eigenvalues,
121,
122,
910,
912,
913,
1069,
1131
implementation of,
1069
Eigenvectors, independence of,
911
number of,
911
numerical, Eigenvectors,
910,
1131
Eigenvectors,
121,
910,
1131
implementation of,
1069
Einstein summation convention,
388
EISPACK, Eigensystem,
910,
1130
Elapsed time, SessionTime,
710,
1277
Electrical engineering,
776,
936
Electron wave functions, MathieuS,
789,
1207
Electronic documents,
44
Element,
73,
816,
1132
\[Element]
( ),
182,
191,
984,
1001,
1004,
1367
Element spacings, for cells, CellElementSpacings,
605
Elementary cellular automata, CellularAutomaton,
942,
1101
Elementary functions,
761
Elements, in power series, SeriesCoefficient,
889,
1276
in window, WindowElements,
620,
1321
of expressions,
236,
1014
of expressions, Part,
234,
1238
of lists, Part,
117,
1238
satisfying criterion, Select,
251,
1273
specifications of sequences of,
1040
Elided arguments,
273
Eliminate,
90,
832,
1132
Eliminating variables, Eliminate,
90,
832,
1132
Elimination, Gaussian, LUDecomposition,
914,
1203
Gaussian, RowReduce,
907,
1268
Elimination basis, GroebnerBasis,
803,
1168
\ell (TeX), \[ScriptL]
( ),
992
Ellipse, Circle,
496,
1103
\[Ellipsis]
( ),
996,
997,
1367
Elliptic curve equations,
842
Elliptic functions,
785
double periodicity of,
786
solving equations with,
827
Elliptic integral of first kind, EllipticF,
783,
1132
Elliptic integral of second kind, EllipticE,
783,
1132
Elliptic integral of third kind, EllipticPi,
784,
1133
Elliptic integrals,
783
Elliptic modular functions,
787
Elliptical blob, during input, ShowCursorTracker,
613,
1072,
1281
Elliptical geometries, MathieuS,
789,
1207
EllipticE,
783,
1132
EllipticExp,
788,
1132
EllipticF,
783,
1132
EllipticK,
783,
1132
EllipticLog,
788,
1133
EllipticNomeQ,
782,
1133
EllipticPi,
783,
784,
1133
EllipticTheta,
785,
786,
1133
EllipticThetaPrime,
785,
1133
Elongation, of plots, AspectRatio,
509,
1084
Else, If,
345,
1173
em,
453
\em (TeX), FontSlant,
444,
612,
1151
Embedded formulas,
196
Embedded information, in formatted expressions,
431
Embedded Mathematica kernels,
46
Embedding, of boxes in strings,
461
emf, \[ScriptCapitalE]
( ),
992
Emphasis, FontWeight,
444,
612,
1152
Empirical distribution, Quantile,
925,
1253
Empty boxes, \[Placeholder]
( ),
1008
Empty bracket, \[LeftDoubleBracket]
( ),
1002
Empty list,
1022
Empty notebook, NotebookCreate,
592,
1222
\[EmptyCircle]
( ),
995,
1367
\[EmptyDiamond]
( ),
995,
1368
\[EmptyDownTriangle]
( ),
995,
1368
\[EmptyRectangle]
( ),
995,
1368
\[EmptySet]
( ),
192,
984,
994,
1368
\emptyset (TeX), \[EmptySet]
(),
994
\[EmptySmallCircle]
( ),
995,
1368
\[EmptySmallSquare]
( ),
995,
1368
\[EmptySquare]
( ),
995,
1368
\[EmptyUpTriangle]
( ),
995,
996,
1368
en,
453
Encapsulated PostScript, exporting, Export,
568,
1141
importing, Import,
570,
1176
Enclosures, around cells, CellFrame,
604,
1098
Encode, FromDigits,
725,
1158
Encode,
626,
1133
Encoding, character, $CharacterEncoding,
420,
1327
of characters,
417
run length, Split,
128,
292,
1288
Encryption, of files,
626
End,
398,
400,
1134
End conditions, in rules,
310
End of proof, \[FilledRectangle]
( ),
995
End-of-file character,
706,
1057
Endian, big and little,
678
big and little, $ByteOrdering,
717,
1326
Ending, dialogs,
707
Ending input,
48
Ending Mathematica, Quit,
28,
1057,
1254
Endless loops,
369
EndOfFile,
649,
1134
EndPackage,
398,
1134
Engine, Mathematica,
44
EngineeringForm,
435,
1134
English keyboard,
xv
Enhancements, in current version,
x
Enter,
48,
49
EnterExpressionPacket,
684
Entering input,
26,
27,
48
in notebooks,
49
\[EnterKey]
( ),
1009,
1368
EnterTextPacket,
683
Entier, Floor,
745,
1150
Entry, of numbers,
729
Enumerating sublists, ReplaceList,
274,
1263
Environment, parameters of,
715
Environment,
716,
1134
Environment variables,
1055
Environments, in blocks,
389
setting up with delayed assignments,
313
EOF,
1057
EndOfFile,
649,
1134
Epilog,
504,
1134
$Epilog,
706,
709,
1328
EPS, exporting, Export,
568,
1141
importing, Import,
570,
1176
EPSF, exporting, Export,
568,
1141
importing, Import,
570,
1176
EPSI, exporting, Export,
568,
1141
importing, Import,
570,
1176
Epsilon, machine number, $MachineEpsilon,
739,
1331
\[Epsilon]
( ),
175,
984,
990,
1368
Epsilon symbol, Signature,
760,
1282
EPSTIFF, exporting, Export,
568,
1141
importing, Import,
570,
1176
\eqalign (TeX), \[AlignmentMarker]
( ),
451
Equal (==),
84,
85,
86,
347,
411,
819,
1027,
1135
\[Equal]
( ),
183,
1003,
1368
Equal column widths, ColumnsEqual,
449,
1108
Equality testing, compared with assignment,
84
Equal (==),
84,
1135
for numbers,
732
for strings, Equal (==),
411,
1135
from canonical forms,
326
general problem of,
327
literal, SameQ (===),
268,
347,
1270
random numbers for,
747
Equals sign (=), Set,
39,
303,
1277
\[EqualTilde]
( ),
1003,
1368
Equations, algebraic,
88,
820
as logical statements,
84,
819
consistency of,
90,
830
cubic,
820
difference, RSolve,
891,
1269
differential,
93,
105,
869,
961
Diophantine,
753
Diophantine, Reduce,
841,
1261
eliminating variables in, Eliminate,
90,
832,
1132
Equal (==),
84,
1135
existence of solutions,
90,
830
getting full solutions to, Reduce,
90,
830,
1261
in text,
196
integer, Reduce,
841,
1261
involving power series,
889
linear,
90,
820
manipulation of,
819
matrix,
829
matrix, LinearSolve,
907,
1195
naming of,
85
non-generic solutions of, Reduce,
90,
830,
1261
numbering of,
202
numerical solution of,
87
numerical solution of polynomial, NSolve,
959,
1226
numerical solution of transcendental, FindRoot,
960,
1149
polynomial,
88,
90,
820
quadratic,
820
quartic,
820
quintic,
88,
821
recurrence, RSolve,
891,
1269
representation of,
85
simultaneous,
89,
828
solution of, Solve,
87,
819,
1285
solving logical combinations of,
833
subsidiary,
90
symbolic,
84,
819
symbolic representation of roots, Root,
88,
821,
1265
systems of,
828
that are always satisfied, SolveAlways,
833,
1285
threading operations over, Thread,
257,
1304
transcendental,
89,
823,
824
transcendental, ProductLog,
781,
1252
trigonometric,
89
unwinding lists of, LogicalExpand,
829,
1203
using solutions of,
819
variables in,
829
\[Equilibrium]
( ),
191,
1007,
1368
Equinox,
991
\equiv (TeX), \[Congruent]
( ),
1003
Equivalence, mathematical, Equal (==),
347,
1135
patterns and expression,
260
testing for, SameQ (===),
268,
347,
1270
\[Tilde]
( ),
1003
Erasing files, DeleteFile,
641,
1120
Erasing objects,
1052
Erasing values, Unset (=.),
39,
1052,
1316
Erf,
775,
1135
Erfc,
775,
1135
Erfi,
775,
1135
Error, of data, StandardDeviation,
109,
924,
1289
syntax in string, SyntaxLength,
466,
1298
Error analysis,
740
Error function, complementary, Erfc,
775,
1135
Erf,
775,
1135
Error handling, in MathLink,
696
Error messages,
61,
479
multiple,
480
ErrorBox,
447,
1135
\[ErrorIndicator]
( ),
1009,
1369
ErrorListPlot,
168
Errors,
66
common,
34,
39
handling of, Check,
481,
1102
handling of, Throw,
354,
1304
handling syntax, $SyntaxHandler,
704,
1337
in files,
623
in Mathematica,
226
in numerical operations,
732,
952
in reproducing examples,
xv
infinite recursion,
369
name conflict,
59
numerical overflow,
742
rounding off numerical, Chop,
730,
1103
syntax,
51
trapping, Check,
481,
1102
Escape indicator, \[AliasIndicator]
( ),
1009
Escape key,
36,
174,
982
Escape sequences, user-defined, InputAliases,
613,
1178
\[EscapeKey]
( ),
1009,
1369
Escapes, in box input,
463
Ess-zed, \[SZ]
( ),
190,
998
Essential singularities, in integrals,
868
in limits,
894
in plots,
137
in series,
884
Estimation, of statistical parameters,
795
\[Eta]
( ),
175,
990,
1369
\[Eth]
( ),
998,
1369
Ethernet address, $MachineID,
718,
1331
EUC,
421
Euclid's algorithm, GCD,
1067,
1161
Euler beta function, Beta,
770,
1089
Euler gamma, \[DoubledGamma]
( ),
994
Euler gamma function, Gamma,
770,
1160
Euler methods, NDSolve,
1216
Euler numbers, EulerE,
758,
1135
Euler polynomials, EulerE,
758,
1135
Euler-Maclaurin method,
958
Euler-Maclaurin summation, Zeta,
1068,
1324
Euler-Maclaurin summation formula,
758
Euler-Mascheroni constant, EulerGamma,
765,
1136
Euler's constant, EulerGamma,
765,
771,
1136
generalization of, StieltjesGamma,
772,
1290
Euler's formula, TrigToExp,
71,
812,
1314
Euler's pentagonal formula, PartitionsP,
1067,
1240
EulerE,
757,
758,
1135
EulerGamma,
765,
771,
1067,
1136
implementation of,
1067
EulerPhi,
752,
1136
\[Euro]
( ),
994,
1369
European characters,
190,
421,
998
European currency, \[Euro]
(),
994
European languages, characters in,
418
eval,
1045
Evaluatable,
608,
1136
Evaluate,
132,
337,
344,
1047,
1136
Evaluate button action,
200,
596
Evaluate selection, SelectionEvaluate,
588,
1274
EvaluateCell button action,
200,
596
EvaluatePacket,
685,
689
Evaluating Mathematica expressions, in external programs,
663
Evaluation, automatic save after, NotebookAutoSave,
618,
1222
deferred,
336
full story on,
1045
global control of,
1048
holding in,
336
immediate of arguments,
1047
in assignments,
311,
340,
1047
in definitions,
340
in iteration functions,
343
in logical expressions,
347
in notebooks,
49
in palettes,
199
in patterns,
340
in place,
181
in plots,
132
in plotting,
338
in rules,
340
method for requesting,
48
non-standard,
336,
1045
numerical,
102,
728
of held arguments, Evaluate,
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