This is maxima.info, produced by makeinfo version 7.2 from maxima.texi.

This is a Texinfo Maxima Manual

   Copyright 1994,2001 William F. Schelter

INFO-DIR-SECTION Math
START-INFO-DIR-ENTRY
* Maxima: (maxima).     A computer algebra system.
END-INFO-DIR-ENTRY


Indirect:
maxima.info-1: 264
maxima.info-2: 1008935
maxima.info-3: 2095439
maxima.info-4: 3006027

Tag Table:
(Indirect)
Node: Top264
Node: Introduction to Maxima18499
Node: Command-line options25464
Ref: command_line_options25630
Node: Runtime Environment28565
Node: Introduction for Runtime Environment28852
Node: Interrupts31840
Node: Functions and Variables for Runtime Environment32969
Ref: maxima_tempdir33196
Ref: maxima_userdir33667
Ref: room34396
Ref: sstatus34819
Ref: status35301
Ref: system36354
Ref: time39589
Ref: timedate40101
Ref: parse_timedate42070
Ref: encode_time45792
Ref: decode_time48320
Ref: absolute_real_time50066
Ref: elapsed_real_time50504
Ref: elapsed_run_time51011
Node: Bug Detection and Reporting51571
Node: Functions and Variables for Bug Detection and Reporting51810
Ref: bug_report52050
Ref: build_info52489
Ref: run_testsuite54905
Ref: testsuite_files57384
Node: Help58231
Node: Documentation58412
Node: Functions and Variables for Help59671
Ref: apropos59841
Ref: demo61624
Ref: describe62861
Ref: output_format_for_help65981
Ref: browser66784
Ref: url_base67745
Ref: example68672
Ref: manual_demo70109
Node: Command Line70319
Node: Introduction to Command Line70577
Node: Functions and Variables for Command Line70975
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Ref: read93882
Ref: readonly94452
Ref: reset95138
Ref: showtime95619
Ref: to_lisp95993
Ref: eval_string_lisp97103
Ref: values97981
Node: Functions and Variables for Display99086
Ref: %edispflag99300
Ref: absboxchar99928
Ref: declare_index_properties100386
Ref: get_index_properties103994
Ref: remove_index_properties104171
Ref: display_index_separator104465
Ref: disp109728
Ref: display110420
Ref: display2d111304
Ref: display_format_internal113081
Ref: with_default_2d_display113791
Ref: display2d_unicode114240
Ref: dispterms115067
Ref: expt116057
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Ref: grind117088
Ref: ibase121845
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Ref: lispdisp127332
Ref: negsumdispflag127865
Ref: obase128282
Ref: pfeformat129467
Ref: powerdisp130309
Ref: print131118
Ref: sqrtdispflag132464
Ref: stardisp132629
Ref: ttyoff132809
Node: Data Types and Structures133179
Node: Numbers133426
Node: Introduction to Numbers133648
Node: Functions and Variables for Numbers134412
Ref: bfloat134608
Ref: bfloatp136779
Ref: bftorat136891
Ref: bftrunc138034
Ref: bigfloat_bits138345
Ref: bigfloat_eps138837
Ref: decode_float139365
Ref: evenp140914
Ref: float141139
Ref: float2bf141411
Ref: float_bits141637
Ref: float_eps141739
Ref: float_precision141872
Ref: float_sign142323
Ref: float_infinity_p143349
Ref: float_nan_p144326
Ref: floatnump145107
Ref: fpprec145232
Ref: fpprintprec145515
Ref: integerp146593
Ref: integer_decode_float147543
Ref: is_power_of_two150063
Ref: m1pbranch151603
Ref: nonnegintegerp152212
Ref: numberp152325
Ref: numer153544
Ref: numer_pbranch154267
Ref: numerval155417
Ref: oddp155894
Ref: ratepsilon156115
Ref: rationalize156403
Ref: ratnump157880
Ref: scale_float158026
Ref: unit_in_last_place159437
Node: Strings161468
Node: Introduction to Strings161674
Node: Functions and Variables for Strings163797
Ref: concat163993
Ref: sconcat165478
Ref: string166134
Ref: stringdisp166441
Node: Constants167227
Node: Functions and Variables for Constants167409
Ref: %catalan167599
Ref: %e168282
Ref: %i168651
Ref: false168726
Ref: %gamma168883
Ref: ind169478
Ref: inf169683
Ref: infinity169753
Ref: least_negative_float169827
Ref: least_negative_normalized_float170194
Ref: least_positive_float170424
Ref: least_positive_normalized_float170790
Ref: minf171019
Ref: most_negative_float171105
Ref: most_positive_float171237
Ref: %phi171369
Ref: %pi173856
Ref: true174066
Ref: und174218
Ref: zeroa174416
Ref: zerob174893
Node: Lists175133
Node: Introduction to Lists175369
Node: Functions and Variables for Lists176238
Ref: [176469
Ref: ]176469
Ref: append178013
Ref: assoc178394
Ref: cons180017
Ref: copylist181504
Ref: create_list181578
Ref: delete182822
Ref: eighth185240
Ref: endcons185368
Ref: fifth186784
Ref: first186911
Ref: firstn188523
Ref: fourth191834
Ref: join191962
Ref: last192727
Ref: lastn192855
Ref: length196175
Ref: listarith197055
Ref: lreduce197507
Ref: makelist198884
Ref: member200830
Ref: ninth202226
Ref: pop202353
Ref: push202657
Ref: rest203955
Ref: reverse205123
Ref: rreduce205372
Ref: second206860
Ref: seventh206988
Ref: sixth207117
Ref: sort207244
Ref: sublist213320
Ref: sublist_indices213650
Ref: tenth214748
Ref: third214876
Ref: tree_reduce215003
Ref: unique216365
Ref: xreduce216752
Node: Performance considerations for Lists218501
Node: Arrays220768
Ref: hashed array220933
Ref: hashed arrays220933
Ref: undeclared array220933
Ref: undeclared arrays220933
Node: Functions and Variables for Arrays222145
Ref: array222320
Ref: arrayapply223164
Ref: arrayinfo223435
Ref: arraymake227957
Ref: arrays229762
Ref: arraysetapply230951
Ref: fillarray231177
Ref: listarray233356
Ref: make_array237153
Ref: rearray239335
Ref: remarray239717
Ref: subvar240300
Ref: subvarp241040
Ref: use_fast_arrays241163
Ref: translate_fast_arrays241869
Node: Structures242345
Node: Introduction to Structures242547
Node: Functions and Variables for Structures244218
Ref: structures244429
Ref: defstruct244557
Ref: new246138
Node: Expressions248562
Node: Introduction to Expressions248831
Node: Nouns and Verbs250426
Node: Identifiers252857
Node: Inequality255153
Node: Functions and Variables for Expressions255472
Ref: alias255667
Ref: aliases255896
Ref: allbut256169
Ref: args257209
Ref: atom258379
Ref: display_box_double_lines258657
Ref: box259112
Ref: boxchar261327
Ref: collapse261748
Ref: copy262311
Ref: disolate263135
Ref: dispform263647
Ref: dpart265581
Ref: exptisolate266192
Ref: exptsubst266412
Ref: freeof267129
Ref: inflag271025
Ref: inpart271871
Ref: isolate273155
Ref: isolate_wrt_times274066
Ref: listconstvars274856
Ref: listdummyvars275389
Ref: listofvars276112
Ref: lfreeof276702
Ref: lpart277180
Ref: mainvar277402
Ref: noun278168
Ref: noundisp278792
Ref: nounify279008
Ref: nterms279418
Ref: op279786
Ref: operatorp281572
Ref: option_opsubst282013
Ref: optimize282895
Ref: optimprefix283276
Ref: ordergreat283439
Ref: orderless283439
Ref: ordergreatp284277
Ref: orderlessp284277
Ref: part288116
Ref: partition289641
Ref: partswitch290228
Ref: pickapart290458
Ref: piece293457
Ref: psubst293672
Ref: rembox294545
Ref: reveal297678
Ref: sqrtdenest300258
Ref: sublis301132
Ref: sublis_apply_lambda301609
Ref: subnumsimp301899
Ref: subst302430
Ref: substinpart305924
Ref: substpart308388
Ref: symbolp309581
Ref: unorder309715
Ref: verbify311160
Node: Operators311551
Node: Introduction to operators311856
Node: Arithmetic operators316100
Ref: +316280
Ref: -316280
Ref: *316280
Ref: /316280
Ref: ^316280
Ref: **323397
Ref: ^^324198
Ref: .324968
Node: Relational operators325444
Ref: <325616
Ref: <=325616
Ref: >=325616
Ref: >325616
Node: Logical operators328329
Ref: and328498
Ref: not329571
Ref: or330163
Node: Operators for Equations331225
Ref: #331406
Ref: =332183
Node: Assignment operators336437
Ref: :336617
Ref: ::339434
Ref: ::=340194
Ref: :=343223
Node: User defined operators349066
Ref: infix349218
Ref: matchfix353481
Ref: function_nary358198
Ref: nofix358813
Ref: postfix359382
Ref: prefix359873
Node: Evaluation360277
Node: Functions and Variables for Evaluation360450
Ref: quote360643
Ref: quote-quote365315
Ref: ev370820
Ref: eval379852
Ref: evflag380410
Ref: evfun382981
Ref: infeval385910
Ref: noeval386295
Ref: nouns386521
Ref: pred386835
Node: Simplification387210
Node: Introduction to Simplification387441
Node: Functions and Variables for Simplification397800
Ref: additive398029
Ref: antisymmetric398988
Ref: combine400045
Ref: commutative400631
Ref: demoivre401388
Ref: function_distrib402115
Ref: distribute_over403024
Ref: domain405303
Ref: evenfun405498
Ref: oddfun405498
Ref: expand406184
Ref: expandwrt410517
Ref: expandwert_denom411097
Ref: expandwrt_factored411519
Ref: expon411879
Ref: exponentialize412172
Ref: expop412774
Ref: lassociative413236
Ref: linear413492
Ref: maxnegex415220
Ref: maxposex415412
Ref: multiplicative415597
Ref: multthru417538
Ref: property_nary419889
Ref: negdistrib420622
Ref: opproperties421444
Ref: define_opproperty421909
Ref: outative423507
Ref: radcan424827
Ref: radexpand426070
Ref: rassociative427004
Ref: resimplify427252
Ref: scsimp428237
Ref: simp428662
Ref: symmetric430369
Ref: xthru430623
Node: Elementary Functions431857
Node: Functions for Numbers432207
Ref: abs432378
Ref: ceiling435796
Ref: entier439557
Ref: floor439773
Ref: fix441709
Ref: hstep441774
Ref: lmax442069
Ref: lmin442265
Ref: max442461
Ref: min444278
Ref: round446088
Ref: signum446427
Ref: truncate447216
Node: Functions for Complex Numbers447542
Ref: cabs447761
Ref: carg451715
Ref: conjugate453648
Ref: imagpart454170
Ref: polarform454774
Ref: realpart455461
Ref: rectform456045
Node: Combinatorial Functions456504
Ref: !!456732
Ref: binomial457479
Ref: factcomb458484
Ref: !459422
Ref: factorial459422
Ref: factlim463077
Ref: factorial_expand463269
Ref: genfact463521
Ref: minfactorial463764
Ref: sumsplitfact464311
Node: Root Exponential and Logarithmic Functions465325
Ref: %e_to_numlog465587
Ref: %emode466028
Ref: %enumer467682
Ref: exp468768
Ref: li469782
Ref: log472024
Ref: logabs473569
Ref: logarc474321
Ref: logconcoeffp474562
Ref: logcontract474999
Ref: logexpand476036
Ref: lognegint479288
Ref: logsimp479460
Ref: plog479625
Ref: sqrt479772
Node: Trigonometric Functions479934
Node: Introduction to Trigonometric480237
Node: Functions and Variables for Trigonometric481367
Node: Trigonometric and Hyperbolic Functions481768
Ref: acos482074
Ref: acosh482275
Ref: acot482488
Ref: acoth482692
Ref: acsc482908
Ref: acsch483111
Ref: asec483326
Ref: asech483527
Ref: asin483740
Ref: asinh483939
Ref: atan484150
Ref: atan2484380
Ref: atanh484825
Ref: cos485039
Ref: cosh485235
Ref: cot485443
Ref: coth485642
Ref: csc485853
Ref: csch486051
Ref: sec486261
Ref: sech486457
Ref: sin486665
Ref: sinh486859
Ref: tan487065
Ref: tanh487262
Node: Options Controlling Simplification487471
Ref: %piargs487769
Ref: %iargs489755
Ref: halfangles490799
Ref: trigsign492697
Node: Explicit Simplifications Using Identities492971
Ref: trigexpand493265
Ref: trigexpandplus494727
Ref: trigexpandtimes495083
Ref: triginverses495449
Ref: trigreduce495976
Ref: trigsimp496606
Ref: trigrat497019
Node: Additional Functions499893
Ref: atrig1500102
Ref: ntrig500499
Node: Random Numbers500809
Ref: make_random_state500953
Ref: set_random_state501728
Ref: random501877
Node: Maxima's Database503542
Node: Introduction to Maxima's Database503860
Node: Functions and Variables for Properties504099
Ref: alphabetic504364
Ref: bindtest505018
Ref: constant505588
Ref: constantp506164
Ref: declare507387
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Ref: decreasing512721
Ref: increasing512721
Ref: even513336
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Ref: printprops519595
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Node: Functions and Variables for Facts525475
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Node: Functions and Variables for Predicates544563
Ref: charfun544786
Ref: compare545493
Ref: equal546683
Ref: notequal550996
Ref: unknown551935
Ref: zeroequiv552093
Node: Plotting553305
Node: Introduction to Plotting553611
Node: Plotting Formats556898
Node: Functions and Variables for Plotting560792
Ref: geomview_command561008
Ref: get_plot_option561586
Ref: gnuplot_command562009
Ref: gnuplot_file_args562604
Ref: gnuplot_view_args563222
Ref: julia564680
Ref: make_transform566577
Ref: mandelbrot567336
Ref: polar_to_xy568933
Ref: plot2d569252
Ref: plot3d578877
Ref: plot_options584095
Ref: remove_plot_option584444
Ref: reset_plot_options584669
Ref: set_plot_option584917
Ref: spherical_to_xyz586175
Ref: xmaxima_plot_command586633
Node: Plotting Options587205
Ref: adapt_depth588827
Ref: axes589383
Ref: azimuth590035
Ref: option_box590567
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Ref: pdf_file602757
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Node: Gnuplot_pipes Format Functions627441
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Node: File Input and Output628737
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Ref: save650566
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Node: Functions and Variables for TeX Output658395
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Ref: get_tex_enviroment_default667985
Node: Functions and Variables for Fortran Output669186
Ref: fortindent669430
Ref: fortran669756
Ref: fortspaces672197
Node: Polynomials672379
Node: Introduction to Polynomials672697
Node: Functions and Variables for Polynomials675861
Ref: algebraic676120
Ref: berlefact676307
Ref: bezout676545
Ref: bothcoef677204
Ref: content681679
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Ref: factor686357
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Ref: factor_max_degree_print_warning694320
Ref: factorflag694660
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Ref: factorsum695552
Ref: fasttimes696416
Ref: fullratsimp696881
Ref: fullratsubst698542
Ref: fullratsubstflag700869
Ref: gcd701014
Ref: gcdex703357
Ref: gcfactor705197
Ref: gfactor705481
Ref: gfactorsum705832
Ref: hipow705959
Ref: intfaclim706883
Ref: keepfloat707595
Ref: lowpow708525
Ref: lratsubst708745
Ref: lrats_max_iter710442
Ref: modulus710708
Ref: num712619
Ref: polydecomp713395
Ref: polymod715614
Ref: polynomialp715991
Ref: quotient718019
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Ref: ratexpand727267
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Ref: option_resultant742259
Ref: savefactors742845
Ref: showratvars743163
Ref: sqfr743334
Ref: totaldisrep746441
Ref: untelltat746872
Node: Introduction to algebraic extensions746980
Node: Functions and Variables for algebraic extensions750476
Ref: algfac750726
Ref: algnorm751385
Ref: algtrace751922
Ref: bdiscr752295
Ref: primelmt752972
Ref: splitfield755350
Node: Special Functions757319
Node: Introduction to Special Functions757766
Node: Bessel Functions759959
Ref: bessel_j760139
Ref: bessel_y760986
Ref: bessel_i761735
Ref: bessel_k762597
Ref: hankel_1763356
Ref: hankel_2765183
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Ref: scaled_bessel_i768007
Ref: scaled_bessel_i0768503
Ref: scaled_bessel_i1768588
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Node: Airy Functions769758
Ref: airy_ai770747
Ref: airy_dai770994
Ref: airy_bi771136
Ref: airy_dbi771362
Node: Gamma and Factorial Functions771523
Ref: bffac771892
Ref: bfpsi772371
Ref: cbffac773369
Ref: gamma773683
Ref: gamma_incomplete778015
Ref: gamma_incomplete_regularized778817
Ref: gamma_incomplete_generalized779420
Ref: gamma_expand780105
Ref: gammalim781844
Ref: makegamma782260
Ref: beta782910
Ref: beta_incomplete_regularized793061
Ref: beta_expand802178
Ref: polygamma802678
Ref: maxpsiposint804533
Ref: maxpsinegint805313
Ref: maxpsifracnum806639
Ref: maxpsifracdenom807630
Ref: makefact808631
Node: Exponential Integrals809812
Ref: expintegral_e1810195
Ref: expintegral_e811342
Ref: expintegral_si811733
Ref: expintegral_ci812072
Ref: expintegral_shi812466
Ref: expintegral_chi812810
Ref: expintrep813207
Ref: expintexpand822766
Node: Error Function823810
Ref: erf824198
Ref: erfc824596
Ref: erfi824941
Ref: erf_generalized825027
Ref: fresnel_c825288
Ref: fresnel_s825835
Ref: erf_representation826377
Ref: hypergeometric_representation830480
Node: Struve Functions833265
Ref: struve_h833899
Ref: struve_l834420
Node: Hypergeometric Functions834896
Ref: %w835945
Ref: hgfred839687
Node: Parabolic Cylinder Functions841682
Ref: parabolic_cylinder_d842208
Node: Functions and Variables for Special Functions842789
Ref: kbateman843605
Node: Elliptic Functions846432
Node: Introduction to Elliptic Functions and Integrals846741
Node: Functions and Variables for Elliptic Functions851056
Ref: jacobi_sn851516
Ref: jacobi_cn851597
Ref: jacobi_dn851678
Ref: jacobi_ns851759
Ref: jacobi_sc851852
Ref: jacobi_sd851951
Ref: jacobi_nc852050
Ref: jacobi_cs852143
Ref: jacobi_cd852242
Ref: jacobi_nd852341
Ref: jacobi_ds852434
Ref: jacobi_dc852533
Ref: jacobi_am852632
Ref: inverse_jacobi_dn854204
Ref: inverse_jacobi_ns854817
Ref: inverse_jacobi_sc855426
Ref: inverse_jacobi_sd856032
Ref: inverse_jacobi_nc856650
Ref: inverse_jacobi_cs857254
Ref: inverse_jacobi_cd857849
Ref: inverse_jacobi_nd858456
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Ref: inverse_jacobi_dc859687
Node: Functions and Variables for Elliptic Integrals860291
Ref: elliptic_f860552
Ref: elliptic_e860769
Ref: elliptic_eu861006
Ref: elliptic_pi861383
Ref: elliptic_kc861562
Ref: elliptic_ec861852
Ref: carlson_rc862141
Ref: carlson_rd863032
Ref: carlson_rf863666
Ref: carlson_rj864272
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Node: Functions and Variables for Limits865632
Ref: lhospitallim865805
Ref: limit866051
Ref: limsubst868200
Ref: tlimit868487
Ref: tlimswitch868739
Ref: gruntz869236
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Node: Functions and Variables for Differentiation870830
Ref: antid871048
Ref: antidiff873502
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Ref: atvalue879056
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Ref: delta882461
Ref: dependencies882925
Ref: depends884648
Ref: derivabbrev887161
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Ref: derivlist888050
Ref: derivsubst888209
Ref: diff888433
Ref: symbol_diff892005
Ref: express892171
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Ref: gradefs897008
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Node: Introduction to Integration897587
Node: Functions and Variables for Integration898603
Ref: changevar898850
Ref: dblint901190
Ref: defint903731
Ref: erfflag904310
Ref: ilt904548
Ref: intanalysis906898
Ref: integrate908117
Ref: integration_constant917071
Ref: integration_constant_counter917951
Ref: integrate_use_rootsof919313
Ref: laplace921570
Ref: ldefint925805
Ref: pwilt926554
Ref: potential927488
Ref: prefer_d928048
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Ref: tldefint935072
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Ref: Introduction to QUADPACK-Footnote-1938972
Ref: Introduction to QUADPACK-Footnote-2939038
Ref: Introduction to QUADPACK-Footnote-3939104
Ref: Introduction to QUADPACK-Footnote-4939148
Ref: Introduction to QUADPACK-Footnote-5939210
Ref: Introduction to QUADPACK-Footnote-6939250
Ref: Introduction to QUADPACK-Footnote-7939292
Node: Functions and Variables for QUADPACK939477
Ref: quad_qag939679
Ref: quad_qags942478
Ref: quad_qagi944715
Ref: quad_qawc947250
Ref: quad_qawf950675
Ref: quad_qawo953388
Ref: quad_qaws956427
Ref: quad_qagp959222
Ref: quad_control962098
Node: Equations962712
Node: Functions and Variables for Equations962944
Ref: %rnum963132
Ref: %rnum_list963404
Ref: algepsilon964482
Ref: algexact964588
Ref: algsys965225
Ref: allroots970125
Ref: bfallroots972539
Ref: backsubst972958
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Ref: funcsolve977805
Ref: globalsolve978767
Ref: ieqn980441
Ref: ieqnprint984563
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Ref: linsolvewarn990133
Ref: linsolve_params990315
Ref: multiplicities990710
Ref: nroots990928
Ref: nthroot991346
Ref: polyfactor991703
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Ref: realonly992567
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Ref: rootsconmode996622
Ref: rootscontract996812
Ref: rootsepsilon999568
Ref: solve999772
Ref: solvedecomposes1007112
Ref: solveexplicit1007300
Ref: solvefactors1007558
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Ref: solveradcan1008140
Ref: solvetrigwarn1008407
Node: Examples for algsys1008935
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Ref: beyer1033937
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Node: Introduction to Differential Equations1034723
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Ref: ic21038820
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Ref: %k11043776
Ref: %k21043914
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Node: Introduction to fast Fourier transform1044668
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Ref: polartorect1045516
Ref: recttopolar1046119
Ref: inverse_fft1046802
Ref: fft1049346
Ref: real_fft1053862
Ref: inverse_real_fft1054643
Ref: bf_inverse_fft1055016
Ref: bf_fft1055240
Ref: bf_real_fft1055448
Ref: bf_inverse_real_fft1055642
Node: Functions and Variables for FFTPACK51055835
Ref: fftpack5_fft1056547
Ref: fftpack5_inverse_fft1058845
Ref: fftpack5_real_fft1059015
Ref: fftpack5_inverse_real_fft1059875
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Ref: horner1060619
Ref: find_root1061820
Ref: bf_find_root1061820
Ref: find_root_error1061820
Ref: find_root_abs1061820
Ref: find_root_rel1061820
Ref: newton1066050
Node: Introduction to numerical solution of differential equations1067387
Node: Functions for numerical solution of differential equations1068707
Ref: plotdf1069009
Ref: rk1079568
Node: Matrices and Linear Algebra1083099
Node: Introduction to Matrices and Linear Algebra1083398
Node: Dot1083757
Node: Matrices1085305
Node: Vectors1086806
Node: eigen1087942
Node: Functions and Variables for Matrices and Linear Algebra1088795
Ref: addcol1089089
Ref: addrow1089287
Ref: adjoint1089482
Ref: augcoefmatrix1089633
Ref: cauchy_matrix1090297
Ref: charpoly1091707
Ref: coefmatrix1093340
Ref: col1093767
Ref: columnvector1096182
Ref: covect1096182
Ref: copymatrix1097001
Ref: determinant1097471
Ref: display_determinant_bars1097908
Ref: detout1098419
Ref: diagmatrix1099421
Ref: doallmxops1099922
Ref: domxexpt1100209
Ref: domxmxops1101530
Ref: domxnctimes1101808
Ref: dontfactor1101977
Ref: doscmxops1102420
Ref: doscmxplus1102573
Ref: dot0nscsimp1102787
Ref: dot0simp1102996
Ref: dot1simp1103196
Ref: dotassoc1103394
Ref: dotconstrules1103559
Ref: dotdistrib1103889
Ref: dotexptsimp1104063
Ref: dotident1104227
Ref: dotscrules1104338
Ref: echelon1104564
Ref: eigenvalues1106036
Ref: eivals1106036
Ref: eigenvectors1107805
Ref: eivects1107805
Ref: ematrix1112791
Ref: entermatrix1112966
Ref: genmatrix1114348
Ref: gramschmidt1117143
Ref: ident1119681
Ref: innerproduct1119753
Ref: inprod1119753
Ref: invert_by_adjoint1120236
Ref: invert1120480
Ref: list_matrix_entries1121646
Ref: lmxchar1121874
Ref: display_matrix_brackets1122514
Ref: display_matrix_padding_horizontal1122872
Ref: display_matrix_padding_vertical1124738
Ref: matrix1126150
Ref: matrixexp1132488
Ref: matrixmap1132919
Ref: matrixp1133105
Ref: matrix_element_add1133208
Ref: matrix_element_mult1134532
Ref: matrix_element_transpose1136525
Ref: mattrace1138750
Ref: minor1139039
Ref: ncharpoly1139184
Ref: newdet1140003
Ref: permanent1140178
Ref: rank1140452
Ref: ratmx1140729
Ref: row1141344
Ref: rmxchar1142987
Ref: scalarmatrixp1143237
Ref: scalefactors1143722
Ref: setelmx1144809
Ref: similaritytransform1145046
Ref: simtran1145046
Ref: sparse1146328
Ref: submatrix1146556
Ref: transpose1146870
Ref: triangularize1147276
Ref: uniteigenvectors1148342
Ref: ueivects1148342
Ref: unitvector1149681
Ref: uvect1149681
Ref: vectorpotential1149926
Ref: vectorsimp1150258
Ref: vect_cross1151745
Ref: zeromatrix1151975
Node: Sums Products and Series1152080
Node: Functions and Variables for Sums and Products1152518
Ref: bashindices1152791
Ref: lsum1153236
Ref: intosum1153949
Ref: simpproduct1154472
Ref: product1154898
Ref: simpsum1157464
Ref: sum1157867
Ref: sumcontract1162809
Ref: sumexpand1163410
Node: Introduction to Series1164373
Node: Functions and Variables for Series1164960
Ref: cauchysum1165206
Ref: deftaylor1166511
Ref: maxtayorder1167865
Ref: niceindices1168120
Ref: niceindicespref1169591
Ref: nusum1170649
Ref: pade1172806
Ref: powerseries1175871
Ref: psexpand1178220
Ref: revert1178705
Ref: taylor1180590
Ref: taylordepth1188590
Ref: taylorinfo1188855
Ref: taylorp1189777
Ref: taylor_logexpand1189891
Ref: taylor_order_coefficients1190524
Ref: taylor_simplifier1190822
Ref: taylor_truncate_polynomials1190962
Ref: taytorat1191273
Ref: trunc1191477
Ref: unsum1192050
Ref: verbose1193254
Node: Introduction to Fourier series1193400
Node: Functions and Variables for Fourier series1193896
Ref: equalp1194186
Ref: remfun1194376
Ref: funp1194723
Ref: absint1195081
Ref: fourier1195743
Ref: foursimp1195893
Ref: sinnpiflag1196075
Ref: cosnpiflag1196165
Ref: fourexpand1196255
Ref: fourcos1196510
Ref: foursin1196646
Ref: totalfourier1196780
Ref: fourint1196914
Ref: fourintcos1197074
Ref: forintsin1197209
Node: Functions and Variables for Poisson series1197342
Ref: intopois1197593
Ref: outopois1197666
Ref: poisdiff1198033
Ref: poisexpt1198191
Ref: poisint1198322
Ref: poislim1198507
Ref: poismap1198807
Ref: poisplus1199125
Ref: poissimp1199219
Ref: poisson1199330
Ref: poissubst1199445
Ref: poistimes1200368
Ref: poistrim1200465
Ref: printpois1200852
Node: Number Theory1201043
Node: Functions and Variables for Number Theory1201235
Ref: bern1201443
Ref: bernpoly1202192
Ref: bfzeta1202294
Ref: bfhzeta1202491
Ref: burn1203105
Ref: solve_congruences1204048
Ref: cf1205024
Ref: cfdisrep1208024
Ref: cfexpand1208717
Ref: cflength1209385
Ref: divsum1210012
Ref: euler1210584
Ref: factors_only1211110
Ref: fib1211513
Ref: fibtophi1211850
Ref: ifactors1213054
Ref: igcdex1214298
Ref: inrt1214997
Ref: inv_mod1215287
Ref: isqrt1215695
Ref: jacobi1215818
Ref: lcm1216075
Ref: lucas1216295
Ref: mod1216711
Ref: next_prime1218002
Ref: partfrac1218161
Ref: power_mod1219490
Ref: primep1220043
Ref: primep_number_of_tests1220857
Ref: primes1220984
Ref: prev_time1221162
Ref: qunit1221322
Ref: totient1221746
Ref: zeta1222134
Ref: zeta%pi1223563
Ref: zn_add_table1224202
Ref: zn_characteristic_factors1224353
Ref: zn_carmichael_lambda1227791
Ref: zn_determinant1228018
Ref: zn_factor_generators1229077
Ref: zn_invert_by_lu1229309
Ref: zn_log1230295
Ref: zn_mult_table1233479
Ref: zn_nth_root1238549
Ref: zn_order1243304
Ref: zn_power_table1245556
Ref: zn_primroot1250575
Ref: zn_primroot_limit1253091
Ref: zn_primroot_p1253426
Ref: zn_primroot_pretest1255246
Ref: zn_primroot_verbose1255782
Node: Groups1255958
Node: Functions and Variables for Groups1256126
Ref: todd_coxeter1256299
Node: Miscellaneous Options1258082
Node: Introduction to Miscellaneous Options1258352
Node: Share1258763
Node: Functions and Variables for Miscellaneous Options1259284
Ref: askexp1259516
Ref: genindex1259761
Ref: gensumnum1259935
Ref: gensym1260196
Ref: packagefile1261167
Ref: remvalue1261909
Ref: rncombine1262354
Ref: setup_autoload1263075
Ref: tcl_output1264480
Node: Rules and Patterns1265718
Node: Introduction to Rules and Patterns1265964
Node: Functions and Variables for Rules and Patterns1267063
Ref: apply11267312
Ref: apply21267984
Ref: applyb11268539
Ref: current_let_rule_package1269278
Ref: default_let_rule_package1269885
Ref: defmatch1270185
Ref: defrule1274842
Ref: disprule1275554
Ref: let1276977
Ref: letrat1281403
Ref: letrules1282255
Ref: letsimp1282825
Ref: let_rule_packages1285088
Ref: matchdeclare1285321
Ref: maxapplydepth1293364
Ref: maxapplyheight1293529
Ref: remlet1293698
Ref: remrule1294704
Ref: tellsimp1296774
Ref: tellsimpafter1299252
Ref: clear_rules1308515
Node: Sets1308700
Node: Introduction to Sets1308888
Node: Functions and Variables for Sets1316232
Ref: adjoin1316411
Ref: belln1316916
Ref: cardinality1317923
Ref: cartesian_product1318459
Ref: cartesian_product_list1319226
Ref: disjoin1322978
Ref: disjointp1323680
Ref: divisors1324073
Ref: elementp1325675
Ref: emptyp1326071
Ref: equiv_classes1326392
Ref: every1327781
Ref: extremal_subset1330764
Ref: flatten1331546
Ref: full_listify1334174
Ref: fullsetify1334716
Ref: identity1335325
Ref: integer_partitions1335605
Ref: intersect1337496
Ref: intersection1337609
Ref: listify1339426
Ref: makeset1339847
Ref: moebius1341457
Ref: multinomial_coeff1342683
Ref: num_distinct_partitions1344089
Ref: num_partitions1344966
Ref: partition_set1345901
Ref: permutations1346668
Ref: powerset1347243
Ref: random_permutation1348360
Ref: setdifference1349157
Ref: setequalp1350029
Ref: setify1350685
Ref: setp1351273
Ref: set_partitions1351835
Ref: some1353499
Ref: stirling11356577
Ref: stirling21357915
Ref: subset1359381
Ref: subsetp1360012
Ref: symmdifference1360413
Ref: union1361459
Node: Function Definition1362443
Node: Introduction to Function Definition1362709
Node: Function1362928
Ref: memoizing function1366394
Ref: memoizing functions1366394
Ref: Memoizing function1366394
Ref: Memoizing functions1366394
Node: Macros1369352
Ref: buildq1369512
Ref: macroexpand1373885
Ref: macroexpand11375135
Ref: macros1376297
Ref: splice1376648
Node: Functions and Variables for Function Definition1378346
Ref: apply1378571
Ref: block1382402
Ref: break1385734
Ref: catch1385987
Ref: compfile1387150
Ref: compile1387963
Ref: define1389540
Ref: define_variable1393759
Ref: dispfun1397951
Ref: fullmap1401780
Ref: fullmapl1402461
Ref: functions1402733
Ref: fundef1404602
Ref: funmake1405621
Ref: lambda1408849
Ref: local1414901
Ref: macroexpansion1416303
Ref: mode_declare1422481
Ref: modedeclare1422481
Ref: mode_checkp1426226
Ref: mode_check_errorp1426985
Ref: mode_check_warnp1427139
Ref: mode_identity1427285
Ref: remfunction1428813
Ref: savedef1429596
Ref: translate1430019
Ref: translate_file1432483
Ref: transrun1435078
Ref: tr_array_as_ref1435322
Ref: tr_bound_function_applyp1435790
Ref: tr_file_tty_messagesp1436886
Ref: tr_float_can_branch_complex1437270
Ref: tr_function_call_default1437841
Ref: tr_numer1438583
Ref: tr_optimize_max_loop1438768
Ref: tr_state_vars1439094
Ref: tr_warnings_get1439624
Ref: tr_warn_fexpr1440009
Ref: tr_warn_meval1440256
Ref: tr_warn_mode1440467
Ref: tr_warn_undeclared1440626
Ref: tr_warn_undefined_variable1440786
Ref: compile_file1440931
Ref: declare_translated1442278
Node: Program Flow1442904
Node: Lisp and Maxima1443166
Node: Garbage Collection1447424
Ref: garbage_collect1447962
Node: Introduction to Program Flow1448355
Node: Functions and Variables for Program Flow1448680
Ref: backtrace1448899
Ref: do1450557
Ref: while1450557
Ref: unless1450557
Ref: for1450557
Ref: from1450557
Ref: thru1450557
Ref: step1450557
Ref: next1450557
Ref: in1450557
Ref: errcatch1460012
Ref: error1460572
Ref: warning1461211
Ref: error_size1461523
Ref: error_syms1463089
Ref: errormsg_fn1463754
Ref: errormsg1463919
Ref: go1465144
Ref: if1465692
Ref: map1468450
Ref: mapatom1470303
Ref: maperror1470548
Ref: mapprint1471091
Ref: maplist1471508
Ref: prederror1471972
Ref: return1472490
Ref: scanmap1473728
Ref: throw1475475
Ref: outermap1475666
Node: Debugging1482508
Node: Source Level Debugging1482728
Node: Keyword Commands1486661
Node: Functions and Variables for Debugging1489115
Ref: debugmode1489310
Ref: refcheck1489873
Ref: setcheck1490078
Ref: setcheckbreak1491314
Ref: setval1491826
Ref: timer1492087
Ref: timer_reset1493320
Ref: untimer1493673
Ref: timer_devalue1494297
Ref: timer_info1494737
Ref: trace1495550
Ref: trace_options1496725
Ref: trace_break_arg1502318
Ref: untrace1502706
Node: Error and warning messages1503065
Node: Error Messages1503388
Node: No such list element1504003
Node: argument must be a non-atomic expression1504413
Node: cannot assign to function1505306
Node: 0 to a negative exponent1505683
Node: Comma is not a prefix operator1505997
Node: Illegal use of delimiter1506373
Node: loadfile failed to load1506769
Node: makelist second argument must evaluate to a number1507781
Node: Only symbols can be bound1508305
Node: Operators of arguments must all be the same1508715
Node: out of memory1509559
Node: part fell off the end1510748
Node: undefined variable during plotting1511047
Node: VTK is not installed1512195
Node: Warning Messages1512783
Node: undefined variable during translation1513002
Node: replaced x by y1513652
Node: Package affine1514187
Node: Introduction to Affine1514400
Node: Functions and Variables for Affine1514659
Ref: fast_linsolve1514856
Ref: grobner_basis1515540
Ref: set_up_dot_simplifications1516140
Ref: declare_weights1517062
Ref: nc_degree1517313
Ref: dotsimp1517485
Ref: fast_central_elements1517737
Ref: check_overlaps1518158
Ref: mono1518810
Ref: monomial_dimensions1519056
Ref: extract_linear_equations1519226
Ref: list_nc_monomials1519622
Ref: all_dotsimp_denoms1519920
Node: Package alt-display1520290
Node: Introduction to alt-display1520528
Node: Functions and Variables for alt-display1523345
Ref: alt_display_output_type1523567
Ref: define_alt_display1525329
Ref: info_display1527008
Ref: mathml_display1527329
Ref: tex_display1527691
Ref: multi_display_for_texinfo1527961
Ref: reset_displays1528882
Ref: set_alt_display1529043
Ref: set_prompt1529847
Ref: Functions and Variables for alt-display-Footnote-11532435
Node: Package asympa1532574
Node: Introduction to asympa1532793
Ref: asympa1532989
Node: Functions and variables for asympa1533317
Node: Package atensor1533514
Node: Introduction to atensor1533746
Node: Functions and Variables for atensor1537921
Ref: init_atensor1538123
Ref: atensimp1540779
Ref: alg_type1541203
Ref: adim1541380
Ref: aform1541593
Ref: asymbol1541784
Ref: sf1541870
Ref: af1542165
Ref: av1542466
Ref: abasep1543499
Node: Package augmented_lagrangian1543767
Node: Functions and Variables for augmented_lagrangian1544013
Ref: augmented_lagrangian_method1544272
Node: Package bernstein1547966
Node: Functions and Variables for Bernstein1548179
Ref: bernstein_poly1548383
Ref: bernstein_explicit1550285
Ref: multibernstein_poly1550946
Ref: bernstein_approx1551393
Ref: bernstein_expand1552661
Node: Package bitwise1553168
Node: Functions and Variables for bitwise1553665
Ref: bit_not1553835
Ref: bit_and1554380
Ref: bit_or1555241
Ref: bit_xor1556096
Ref: bit_lsh1556961
Ref: bit_rsh1557733
Ref: bit_length1558513
Ref: bit_onep1559040
Node: Package bode1560626
Node: Functions and Variables for bode1560805
Ref: bode_gain1560984
Ref: bode_phase1562396
Node: Package cartan1564056
Node: Introduction to cartan1564267
Node: Functions and Variables for cartan1564960
Ref: init_cartan1565157
Ref: cartan-~1565840
Ref: cartan-|1566509
Ref: ext_diff1566669
Ref: lie_diff1566807
Node: Package celine1568342
Node: Introduction to celine1568524
Node: Package clebsch_gordan1572361
Node: Functions and Variables for clebsch_gordan1572579
Ref: clebsch_gordan1572808
Ref: racah_v1572943
Ref: racah_w1573102
Ref: wigner_3j1573245
Ref: wigner_6j1573406
Ref: wigner_9j1573502
Node: Package cobyla1573623
Node: Introduction to cobyla1573868
Node: Functions and Variables for cobyla1576552
Ref: fmin_cobyla1576777
Ref: bf_fmin_cobyla1579570
Node: Examples for cobyla1579969
Node: Package colnew1581782
Node: Introduction to colnew1582052
Node: Functions and Variables for colnew1584495
Ref: colnew_expert1584720
Ref: colnew_appsln1593480
Node: Examples for colnew1593966
Node: References for colnew1623616
Ref: gawain-ball1623778
Ref: ascher-1979a1624076
Ref: ascher-1979b1624362
Ref: ascher-1981a1624703
Ref: ascher-1981b1624945
Ref: ascher-russell1625262
Ref: parker-wan1625512
Ref: bader-ascher1625824
Ref: ascher-et-al1626067
Ref: bellon-talon1626330
Node: Package combinatorics1626632
Node: Introduction to combinatorics1626885
Node: Functions and Variables for Combinatorics1628882
Ref: apply_cycles1629114
Ref: cyclep1629867
Ref: perm_cycles1630489
Ref: perm_decomp1630903
Ref: perm_inverse1631342
Ref: perm_length1631790
Ref: perm_lex_next1632259
Ref: perm_lex_rank1632598
Ref: perm_lex_unrank1633018
Ref: perm_next1633397
Ref: perm_parity1633758
Ref: perm_rank1634202
Ref: perm_undecomp1634608
Ref: perm_unrank1634962
Ref: permp1635327
Ref: perms1635773
Ref: perms_lex1637289
Ref: permult1639105
Ref: permute1639378
Ref: random_perm1639987
Node: Package contrib_ode1640254
Node: Introduction to contrib_ode1640603
Node: Functions and Variables for contrib_ode1646450
Ref: contrib_ode1646717
Ref: odelin1646876
Ref: ode_check1647658
Ref: gauss_a1648815
Ref: gauss_b1649515
Ref: dgauss_a1649583
Ref: dgauss_b1649717
Ref: kummer_m1649851
Ref: kummer_u1650315
Ref: dkummer_m1650540
Ref: dkummer_u1650661
Ref: bessel_simplify1650782
Ref: expintegral_e_simplify1652047
Node: Possible improvements to contrib_ode1652362
Node: Test cases for contrib_ode1653510
Node: References for contrib_ode1654294
Node: Package ctensor1655843
Node: Introduction to ctensor1656071
Node: Functions and Variables for ctensor1660642
Ref: csetup1660909
Ref: cmetric1661128
Ref: ct1662107
Ref: init1668410
Ref: christof1669818
Ref: ricci1670765
Ref: uricci1671051
Ref: scurvature1671612
Ref: einstein1671773
Ref: leinstein1672408
Ref: riemann1672828
Ref: lriemann1674135
Ref: uriemann1674630
Ref: rinvariant1674832
Ref: weyl1675083
Ref: ctaylor1676188
Ref: frame1681737
Ref: nptetrad1682347
Ref: psi1683060
Ref: petrov1684378
Ref: contortion1689811
Ref: nonmetricity1689929
Ref: ctransform1690116
Ref: findde1690517
Ref: cograd1692875
Ref: contragrad1693077
Ref: ctensor_dscalar1694215
Ref: checkdiv1695118
Ref: cgeodesic1695573
Ref: bdvac1695882
Ref: invariant11696286
Ref: invariant21696496
Ref: bimetric1696762
Ref: diagmatrixp1697014
Ref: symmetricp1697164
Ref: ntermst1697512
Ref: cdisplay1697882
Ref: deleten1711429
Ref: dim1711618
Ref: diagmetric1711884
Ref: ctrgsimp1712363
Ref: cframe_flag1712564
Ref: ctorsion_flag1713012
Ref: cnonmet_flag1713261
Ref: ctayswitch1713552
Ref: ctayvar1713835
Ref: ctaypov1713960
Ref: ctaypt1714091
Ref: gdet1714233
Ref: ratchristof1714391
Ref: rateinstein1714495
Ref: ratriemann1714753
Ref: ratweyl1715047
Ref: lfg1715324
Ref: ufg1715522
Ref: riem1715677
Ref: lriem1715986
Ref: uriem1716072
Ref: ric1716162
Ref: uric1716241
Ref: lg1716324
Ref: ug1716484
Ref: weyl_variable1716570
Ref: fb1716638
Ref: kinvariant1716726
Ref: np1716816
Ref: npi1716899
Ref: tr1717543
Ref: kt1717649
Ref: nm1717740
Ref: nmc1717828
Ref: tensorkill1717935
Ref: ct_coords1718102
Node: Package descriptive1721538
Node: Introduction to descriptive1721887
Node: Functions and Variables for data manipulation1727057
Ref: build_sample1727356
Ref: continuous_freq1729780
Ref: discrete_freq1733629
Ref: standardize1734981
Ref: subsample1735362
Ref: transform_sample1741502
Node: Functions and Variables for descriptive statistics1743090
Ref: mean1743418
Ref: var1746342
Ref: var11749433
Ref: std1750271
Ref: std11751658
Ref: noncentral_moment1752302
Ref: central_moment1754784
Ref: cv1757439
Ref: smin1758102
Ref: smax1758760
Ref: range1759421
Ref: quantile1759903
Ref: median1760944
Ref: qrange1761691
Ref: mean_deviation1762570
Ref: median_deviation1763532
Ref: harmonic_mean1764448
Ref: geometric_mean1765387
Ref: kurtosis1766320
Ref: skewness1767219
Ref: pearson_skewness1768102
Ref: quartile_skewness1768946
Ref: km1769872
Ref: cdf_empirical1771290
Ref: cov1772284
Ref: cov11774857
Ref: global_variances1776087
Ref: cor1778027
Ref: list_correlations1780317
Ref: principal_components1783588
Node: Functions and Variables for statistical graphs1787878
Ref: barsplot1788144
Ref: barsplot_description1792650
Ref: boxplot1793554
Ref: boxplot_description1797272
Ref: histogram1797459
Ref: histogram_description1802771
Ref: histogram_skyline1803810
Ref: piechart1805360
Ref: piechart_description1807029
Ref: scatterplot1807218
Ref: scatterplot_description1809091
Ref: starplot1809291
Ref: starplot_description1811680
Ref: stemplot1811869
Node: Package diag1812879
Node: Functions and Variables for diag1813063
Ref: diag_function1813242
Ref: JF1814509
Ref: jordan1815329
Ref: dispJordan1817795
Ref: minimalPoly1818975
Ref: ModeMatrix1819735
Ref: mat_function1821497
Node: Package distrib1825608
Node: Introduction to distrib1825894
Node: Functions and Variables for continuous distributions1831942
Node: Normal Random Variable1832873
Ref: pdf_normal1833274
Ref: cdf_normal1833859
Ref: quantile_normal1834719
Ref: mean_normal1835340
Ref: var_normal1835582
Ref: std_normal1835879
Ref: skewness_normal1836165
Ref: kurtosis_normal1836449
Ref: random_normal1836761
Node: Student's t Random Variable1837262
Ref: pdf_student_t1837810
Ref: cdf_student_t1838578
Ref: quantile_student_t1839444
Ref: mean_student_t1839747
Ref: var_student_t1839989
Ref: std_student_t1840472
Ref: skewness_student_t1840850
Ref: kurtosis_student_t1841162
Ref: random_student_t1841545
Node: Noncentral Student's t Random Variable1842379
Ref: pdf_noncentral_student_t1843026
Ref: cdf_noncentral_student_t1846325
Ref: quantile_noncentral_student_t1846786
Ref: mean_noncentral_student_t1847198
Ref: var_noncentral_student_t1848235
Ref: std_noncentral_student_t1848941
Ref: skewness_noncentral_student_t1849647
Ref: kurtosis_noncentral_student_t1851076
Ref: random_noncentral_student_t1852679
Node: Chi-squared Random Variable1853637
Ref: pdf_chi21854116
Ref: cdf_chi21855117
Ref: quantile_chi21855887
Ref: mean_chi21856312
Ref: var_chi21856667
Ref: std_chi21857030
Ref: skewness_chi21857425
Ref: kurtosis_chi21858107
Ref: random_chi21858685
Node: Noncentral Chi-squared Random Variable1859098
Ref: pdf_noncentral_chi21859709
Ref: cdf_noncentral_chi21860608
Ref: quantile_noncentral_chi21860927
Ref: mean_noncentral_chi21861327
Ref: var_noncentral_chi21861594
Ref: std_noncentral_chi21861871
Ref: skewness_noncentral_chi21862173
Ref: kurtosis_noncentral_chi21862585
Ref: random_noncentral_chi21862975
Node: F Random Variable1863399
Ref: pdf_f1863848
Ref: cdf_f1864769
Ref: quantile_f1865570
Ref: mean_f1865918
Ref: var_f1866253
Ref: std_f1866634
Ref: skewness_f1867019
Ref: kurtosis_f1867422
Ref: random_f1867918
Node: Exponential Random Variable1868546
Ref: pdf_exp1868979
Ref: cdf_exp1869490
Ref: quantile_exp1870025
Ref: mean_exp1870642
Ref: var_exp1871182
Ref: std_exp1871824
Ref: skewness_exp1872395
Ref: kurtosis_exp1872799
Ref: random_exp1873203
Node: Lognormal Random Variable1873577
Ref: pdf_lognormal1873933
Ref: cdf_lognormal1874671
Ref: quantile_lognormal1875654
Ref: mean_lognormal1876212
Ref: var_lognormal1876646
Ref: std_lognormal1877008
Ref: skewness_lognormal1877516
Ref: kurtosis_lognormal1877925
Ref: random_lognormal1878345
Node: Gamma Random Variable1878791
Ref: pdf_gamma1879222
Ref: cdf_gamma1879771
Ref: quantile_gamma1880474
Ref: mean_gamma1880772
Ref: var_gamma1881013
Ref: std_gamma1881309
Ref: skewness_gamma1881584
Ref: kurtosis_gamma1881971
Ref: random_gamma1882352
Node: Beta Random Variable1883087
Ref: pdf_beta1883458
Ref: cdf_beta1883964
Ref: quantile_beta1884702
Ref: mean_beta1884998
Ref: var_beta1885337
Ref: std_beta1885681
Ref: skewness_beta1886081
Ref: kurtosis_beta1886452
Ref: random_beta1886920
Node: Continuous Uniform Random Variable1887407
Ref: pdf_continuous_uniform1887777
Ref: cdf_continuous_uniform1888173
Ref: quantile_continuous_uniform1888595
Ref: mean_continuous_uniform1888938
Ref: var_continuous_uniform1889303
Ref: std_continuous_uniform1889736
Ref: skewness_continuous_uniform1890143
Ref: kurtosis_continuous_uniform1890449
Ref: random_continuous_uniform1890728
Node: Logistic Random Variable1891206
Ref: pdf_logistic1891587
Ref: cdf_logistic1892381
Ref: quantile_logistic1892953
Ref: mean_logistic1893261
Ref: var_logistic1893507
Ref: std_logistic1893910
Ref: skewness_logistic1894296
Ref: kurtosis_logistic1894584
Ref: random_logistic1894968
Node: Pareto Random Variable1895365
Ref: pdf_pareto1895604
Ref: cdf_pareto1895966
Ref: quantile_pareto1896344
Ref: mean_pareto1896645
Ref: var_pareto1896857
Ref: std_pareto1897292
Ref: skewness_pareto1897744
Ref: kurtosis_pareto1898138
Ref: random_pareto1898613
Node: Weibull Random Variable1899004
Ref: pdf_weibull1899245
Ref: cdf_weibull1899891
Ref: quantile_weibull1900285
Ref: mean_weibull1900589
Ref: var_weibull1900934
Ref: std_weibull1901313
Ref: skewness_weibull1901711
Ref: kurtosis_weibull1902438
Ref: random_weibull1903152
Node: Rayleigh Random Variable1903545
Ref: pdf_rayleigh1903891
Ref: cdf_rayleigh1904478
Ref: quantile_rayleigh1905075
Ref: mean_rayleigh1905609
Ref: var_rayleigh1906170
Ref: std_rayleigh1907012
Ref: skewness_rayleigh1907805
Ref: kurtosis_rayleigh1908914
Ref: random_rayleigh1909983
Node: Laplace Random Variable1910369
Ref: pdf_laplace1910824
Ref: cdf_laplace1911464
Ref: quantile_laplace1911852
Ref: mean_laplace1912154
Ref: var_laplace1912396
Ref: std_laplace1912694
Ref: skewness_laplace1912972
Ref: kurtosis_laplace1913256
Ref: random_laplace1913540
Node: Cauchy Random Variable1913931
Ref: pdf_cauchy1914538
Ref: cdf_cauchy1914956
Ref: quantile_cauchy1915485
Ref: random_cauchy1915785
Node: Gumbel Random Variable1916172
Ref: pdf_gumbel1916377
Ref: cdf_gumbel1916927
Ref: quantile_gumbel1917354
Ref: mean_gumbel1917654
Ref: var_gumbel1918048
Ref: std_gumbel1918443
Ref: skewness_gumbel1918817
Ref: kurtosis_gumbel1919597
Ref: random_gumbel1919974
Node: Functions and Variables for discrete distributions1920361
Node: General Finite Discrete Random Variable1920978
Ref: pdf_general_finite_discrete1921291
Ref: cdf_general_finite_discrete1922196
Ref: quantile_general_finite_discrete1923086
Ref: mean_general_finite_discrete1923318
Ref: var_general_finite_discrete1923534
Ref: std_general_finite_discrete1923753
Ref: skewness_general_finite_discrete1923982
Ref: kurtosis_general_finite_discrete1924218
Ref: random_general_finite_discrete1924454
Node: Binomial Random Variable1925096
Ref: pdf_binomial1925772
Ref: cdf_binomial1926185
Ref: quantile_binomial1926857
Ref: mean_binomial1927205
Ref: var_binomial1927493
Ref: std_binomial1927791
Ref: skewness_binomial1928112
Ref: kurtosis_binomial1928550
Ref: random_binomial1928988
Node: Poisson Random Variable1929553
Ref: pdf_poisson1930056
Ref: cdf_poisson1930494
Ref: quantile_poisson1930947
Ref: mean_poisson1931244
Ref: var_poisson1931480
Ref: std_poisson1931723
Ref: skewness_poisson1931994
Ref: kurtosis_poisson1932362
Ref: random_poisson1932740
Node: Bernoulli Random Variable1933284
Ref: pdf_bernoulli1933799
Ref: cdf_bernoulli1934315
Ref: quantile_bernoulli1934740
Ref: mean_bernoulli1935055
Ref: var_bernoulli1935436
Ref: std_bernoulli1935831
Ref: skewness_bernoulli1936252
Ref: kurtosis_bernoulli1936892
Ref: random_bernoulli1937534
Node: Geometric Random Variable1937978
Ref: pdf_geometric1938573
Ref: cdf_geometric1938991
Ref: quantile_geometric1939335
Ref: mean_geometric1939797
Ref: var_geometric1940291
Ref: std_geometric1940674
Ref: skewness_geometric1941005
Ref: kurtosis_geometric1941382
Ref: random_geometric1941812
Node: Discrete Uniform Random Variable1942372
Ref: pdf_discrete_uniform1942924
Ref: cdf_discrete_uniform1943357
Ref: quantile_discrete_uniform1943804
Ref: mean_discrete_uniform1944158
Ref: var_discrete_uniform1944540
Ref: std_discrete_uniform1944978
Ref: skewness_discrete_uniform1945447
Ref: kurtosis_discrete_uniform1945768
Ref: random_discrete_uniform1946256
Node: Hypergeometric Random Variable1946742
Ref: pdf_hypergeometric1947360
Ref: cdf_hypergeometric1948128
Ref: quantile_hypergeometric1948972
Ref: mean_hypergeometric1949363
Ref: var_hypergeometric1949816
Ref: std_hypergeometric1950366
Ref: skewness_hypergeometric1950973
Ref: kurtosis_hypergeometric1951657
Ref: random_hypergeometric1952556
Node: Negative Binomial Random Variable1953185
Ref: pdf_negative_binomial1953859
Ref: cdf_negative_binomial1954386
Ref: quantile_negative_binomial1954916
Ref: mean_negative_binomial1955286
Ref: var_negative_binomial1955687
Ref: std_negative_binomial1956141
Ref: skewness_negative_binomial1956575
Ref: kurtosis_negative_binomial1957023
Ref: random_negative_binomial1957511
Node: Package draw1958023
Node: Introduction to draw1958309
Node: Functions and Variables for draw1960789
Ref: gr2d1961050
Ref: gr3d1962389
Ref: draw1963296
Ref: draw2d1965393
Ref: draw3d1965672
Ref: draw_file1965951
Ref: multiplot_mode1966404
Ref: set_draw_defaults1967783
Ref: adapt_depth_draw1968607
Ref: allocation1968863
Ref: axis_3d1970273
Ref: axis_bottom1970787
Ref: axis_left1971260
Ref: axis_right1971695
Ref: axis_top1972133
Ref: background_color1972566
Ref: border1972955
Ref: capping1973593
Ref: cbrange1974224
Ref: cbtics1975167
Ref: color_draw1975880
Ref: colorbox1979717
Ref: columns1980760
Ref: contour1981401
Ref: contour_levels1982555
Ref: data_file_name1984518
Ref: delay1984921
Ref: dimensions_draw1985769
Ref: draw_realpart1987644
Ref: enhanced3d1988343
Ref: error_type1994240
Ref: file_name1994581
Ref: fill_color1995209
Ref: fill_density1995432
Ref: filled_func1995657
Ref: font1997140
Ref: font_size2000434
Ref: gnuplot_file_name2000866
Ref: grid_draw2001640
Ref: head_angle2002396
Ref: head_both2003634
Ref: head_length2004270
Ref: head_type2004982
Ref: interpolate_color2005837
Ref: ip_grid2008681
Ref: ip_grid_in2008884
Ref: key2009097
Ref: key_pos2009898
Ref: label_alignment2010980
Ref: label_orientation2011915
Ref: line_type2012867
Ref: line_width2013895
Ref: logcb2014662
Ref: logx_draw2015407
Ref: logx_secondary2015992
Ref: logy_draw2016888
Ref: logy_secondary2017342
Ref: logz2018203
Ref: palette_draw2019333
Ref: point_size2022618
Ref: point_type_draw2023227
Ref: points_joined2025018
Ref: proportional_axes2026228
Ref: surface_hide2027460
Ref: terminal2028001
Ref: title_draw2031586
Ref: transform2032017
Ref: transparent2033454
Ref: unit_vectors2034011
Ref: user_preamble2034711
Ref: view2035937
Ref: wired_surface2036859
Ref: x_voxel2037354
Ref: xaxis2037616
Ref: xaxis_color2038088
Ref: xaxis_secondary2038592
Ref: xaxis_type2039431
Ref: xaxis_width2039934
Ref: xlabel_draw2040405
Ref: xlabel_secondary2040952
Ref: xrange2041706
Ref: xrange_secondary2042242
Ref: xtics_draw2042761
Ref: xtics_axis2044743
Ref: xtics_rotate2045081
Ref: xtics_rotate_secondary2045351
Ref: xtics_secondary2045651
Ref: xtics_secondary_axis2045866
Ref: xu_grid2046234
Ref: xy_file2046767
Ref: xyplane2047136
Ref: y_voxel2047664
Ref: yaxis2047926
Ref: yaxis_color2048372
Ref: yaxis_secondary2048876
Ref: yaxis_type2049591
Ref: yaxis_width2050095
Ref: ylabel_draw2050566
Ref: ylabel_secondary2051120
Ref: yrange2051969
Ref: yrange_secondary2052569
Ref: ytics_draw2053409
Ref: ytics_axis2053602
Ref: ytics_rotate2053940
Ref: ytics_rotate_secondary2054210
Ref: ytics_secondary2054510
Ref: ytics_secondary_axis2054720
Ref: yv_grid2055088
Ref: z_voxel2055649
Ref: zaxis2055862
Ref: zaxis_color2056421
Ref: zaxis_type2057026
Ref: zaxis_width2057587
Ref: zlabel_draw2058154
Ref: zlabel_rotate2058741
Ref: zrange2059352
Ref: ztics_draw2059979
Ref: ztics_axis2060177
Ref: ztics_rotate2060515
Ref: bars2060834
Ref: cylindrical2061743
Ref: elevation_grid2062503
Ref: ellipse2063559
Ref: errors2064797
Ref: explicit2066261
Ref: image2068330
Ref: implicit2072178
Ref: label_draw2074163
Ref: mesh2075442
Ref: parametric2076906
Ref: parametric_surface2078429
Ref: points2079726
Ref: polar2086151
Ref: polygon2087053
Ref: quadrilateral2087984
Ref: rectangle2089158
Ref: region2090181
Ref: spherical2090960
Ref: triangle2091727
Ref: tube2092727
Ref: vector2093535
Ref: draw_renderer2094904
Node: Functions and Variables for pictures2095439
Ref: get_pixel2095695
Ref: make_level_picture2095863
Ref: make_rgb_picture2097039
Ref: negative_picture2098166
Ref: picture_equalp2098265
Ref: picturep2098383
Ref: read_xpm2098509
Ref: rgb2level2098601
Ref: take_channel2098738
Node: Functions and Variables for worldmap2099666
Ref: boundaries_array2099944
Ref: numbered_boundaries2100303
Ref: make_poly_continent2100838
Ref: make_poly_country2101452
Ref: make_polygon2101815
Ref: region_boundaries2104953
Ref: region_boundaries_plus2105505
Ref: geomap2106144
Node: Package drawdf2112477
Node: Introduction to drawdf2112690
Node: Functions and Variables for drawdf2114615
Ref: drawdf2114847
Node: Package dynamics2123391
Node: The dynamics package2123661
Node: Graphical analysis of discrete dynamical systems2124355
Ref: chaosgame2124625
Ref: evolution2125391
Ref: evolution2d2126137
Ref: ifs2127175
Ref: orbits2128599
Ref: staircase2130027
Node: Visualization with VTK2130897
Ref: scene2131360
Ref: scene_options2133627
Ref: scene_azimuth2133670
Ref: scene_background2133973
Ref: scene_elevation2134222
Ref: scene_height2134556
Ref: scene_restart2134734
Ref: scene_tstep2134987
Ref: scene_width2135191
Ref: scene_windowname2135366
Ref: scene_windowtitle2135671
Ref: scene_objects2135872
Ref: cone2135915
Ref: cube2136796
Ref: cylinder2137137
Ref: sphere2137794
Ref: object_options2137914
Ref: object_animation2137975
Ref: object_capping2138594
Ref: object_center2138852
Ref: object_color2139213
Ref: object_endphi2139430
Ref: object_endtheta2139896
Ref: object_height2140358
Ref: object_linewidth2140523
Ref: object_opacity2140710
Ref: object_orientation2140969
Ref: object_origin2141347
Ref: object_phiresolution2141623
Ref: object_points2141921
Ref: object_pointsize2142136
Ref: object_position2142320
Ref: object_radius2142541
Ref: object_resolution2142769
Ref: object_scale2142972
Ref: object_startphi2143427
Ref: object_starttheta2143894
Ref: object_surface2144357
Ref: object_thetaresolution2144660
Ref: object_track2144972
Ref: object_xlength2145963
Ref: object_ylength2146171
Ref: object_zlength2146379
Ref: object_wireframe2146587
Node: Package engineering-format2146803
Node: Functions and Variables for engineering-format2147198
Ref: engineering_format_floats2147447
Ref: engineering_format_min2148021
Ref: engineering_format_max2148804
Node: Package ezunits2149060
Node: Introduction to ezunits2149326
Node: Introduction to physical_constants2153061
Ref: physical_constants2153304
Node: Functions and Variables for ezunits2158004
Ref: constvalue2169109
Ref: declare_constvalue2170001
Ref: remove_constvalue2170605
Ref: units2170764
Ref: declare_units2172118
Ref: qty2172874
Ref: declare_qty2173849
Ref: unitp2174538
Ref: declare_unit_conversion2175757
Ref: declare_dimensions2177612
Ref: remove_dimensions2178596
Ref: declare_fundamental_dimensions2178769
Ref: declare_fundamental_units2180159
Ref: dimensions2181866
Ref: fundamental_units2183653
Ref: dimensionless2185029
Ref: natural_unit2186133
Node: Package f902186378
Node: Functions for f902186540
Ref: f90_output_line_length_max2186660
Ref: function_f902188293
Node: Package finance2190381
Node: Introduction to finance2190596
Node: Functions and Variables for finance2191209
Ref: days3602191411
Ref: fv2191716
Ref: pv2192071
Ref: graph_flow2192429
Ref: annuity_pv2192814
Ref: annuity_fv2193225
Ref: geo_annuity_pv2193634
Ref: geo_annuity_fv2194101
Ref: amortization2194565
Ref: arit_amortization2195950
Ref: geo_amortization2197650
Ref: saving2199306
Ref: npv2200706
Ref: irr2201025
Ref: benefit_cost2201427
Node: Package format2202055
Node: Introduction to format2202271
Node: Functions and Variables for format2204693
Ref: Template keywords2207699
Node: Package fractals2222606
Node: Introduction to fractals2222926
Node: Definitions for IFS fractals2223552
Ref: sierpinskiale2224272
Ref: treefale2224644
Ref: fernfale2224933
Node: Definitions for complex fractals2225278
Ref: mandelbrot_set2225504
Ref: julia_set2225998
Ref: julia_parameter2226514
Ref: julia_sin2226816
Node: Definitions for Koch snowflakes2227625
Ref: snowmap2227847
Node: Definitions for Peano maps2228609
Ref: hilbertmap2228893
Ref: sierpinskimap2229140
Node: Package gentran2229395
Node: Introduction to Gentran2229682
Node: Functions for Gentran2230238
Node: Gentran Mode Switches2237735
Node: Gentran Option Variables2239747
Node: Gentran Evaluation Forms2247161
Node: Package ggf2250281
Node: Functions and Variables for ggf2250456
Ref: ggf2251762
Node: Package graphs2253834
Node: Introduction to graphs2254045
Node: Functions and Variables for graphs2255168
Ref: create_graph2255412
Ref: copy_graph2257476
Ref: circulant_graph2257546
Ref: clebsch_graph2258127
Ref: complement_graph2258191
Ref: complete_bipartite_graph2258275
Ref: complete_graph2258387
Ref: cycle_digraph2258472
Ref: cycle_graph2258556
Ref: cuboctahedron_graph2258629
Ref: cube_graph2258708
Ref: dodecahedron_graph2258779
Ref: empty_graph2258853
Ref: flower_snark2258932
Ref: from_adjacency_matrix2259181
Ref: frucht_graph2259288
Ref: graph_product2259350
Ref: graph_union2259654
Ref: grid_graph2259748
Ref: great_rhombicosidodecahedron_graph2259816
Ref: great_rhombicuboctahedron_graph2259922
Ref: grotzch_graph2260022
Ref: heawood_graph2260086
Ref: icosahedron_graph2260150
Ref: icosidodecahedron_graph2260222
Ref: induced_subgraph2260306
Ref: line_graph2260805
Ref: make_graph2260883
Ref: mycielski_graph2262111
Ref: new_graph2262201
Ref: path_digraph2262283
Ref: path_graph2262365
Ref: petersen_graph2262436
Ref: random_bipartite_graph2262644
Ref: random_digraph2262808
Ref: random_regular_graph2262951
Ref: random_graph2263170
Ref: random_graph12263303
Ref: random_network2263409
Ref: random_tournament2263933
Ref: random_tree2264022
Ref: small_rhombicosidodecahedron_graph2264099
Ref: small_rhombicuboctahedron_graph2264205
Ref: snub_cube_graph2264305
Ref: snub_dodecahedron_graph2264373
Ref: truncated_cube_graph2264457
Ref: truncated_dodecahedron_graph2264535
Ref: truncated_icosahedron_graph2264629
Ref: truncated_tetrahedron_graph2264721
Ref: tutte_graph2264813
Ref: underlying_graph2264873
Ref: wheel_graph2264972
Ref: adjacency_matrix2265102
Ref: average_degree2265667
Ref: biconnected_components2265996
Ref: bipartition2266551
Ref: chromatic_index2267025
Ref: chromatic_number2267281
Ref: clear_edge_weight2267609
Ref: clear_vertex_label2268049
Ref: connected_components2268530
Ref: diameter2268863
Ref: edge_coloring2269079
Ref: degree_sequence2269834
Ref: edge_connectivity2270093
Ref: edges2270222
Ref: get_edge_weight2270473
Ref: get_vertex_label2271202
Ref: get_unique_vertex_by_label2271688
Ref: get_all_vertices_by_label2272559
Ref: graph_charpoly2273240
Ref: graph_center2273610
Ref: graph_eigenvalues2273851
Ref: graph_periphery2274214
Ref: graph_size2274469
Ref: graph_order2274715
Ref: girth2274966
Ref: hamilton_cycle2275204
Ref: hamilton_path2275644
Ref: isomorphism2276097
Ref: in_neighbors2276601
Ref: is_biconnected2276977
Ref: is_bipartite2277322
Ref: is_connected2277682
Ref: is_digraph2277972
Ref: is_edge_in_graph2278311
Ref: is_graph2278924
Ref: is_graph_or_digraph2279248
Ref: is_isomorphic2279629
Ref: is_planar2280032
Ref: is_sconnected2280566
Ref: is_vertex_in_graph2280943
Ref: is_tree2281343
Ref: laplacian_matrix2281692
Ref: max_clique2282395
Ref: max_degree2282661
Ref: max_flow2283046
Ref: max_independent_set2284079
Ref: max_matching2284494
Ref: min_degree2284967
Ref: min_edge_cut2285351
Ref: min_vertex_cover2285479
Ref: min_vertex_cut2285575
Ref: minimum_spanning_tree2285709
Ref: neighbors2286088
Ref: odd_girth2286364
Ref: out_neighbors2286724
Ref: planar_embedding2287102
Ref: print_graph2287647
Ref: radius2288348
Ref: set_edge_weight2288558
Ref: set_vertex_label2289044
Ref: shortest_path2289814
Ref: shortest_weighted_path2290271
Ref: strong_components2290888
Ref: topological_sort2291255
Ref: vertex_connectivity2291796
Ref: vertex_degree2291929
Ref: vertex_distance2292031
Ref: vertex_eccentricity2292447
Ref: vertex_in_degree2292731
Ref: vertex_out_degree2293294
Ref: vertices2293677
Ref: vertex_coloring2293903
Ref: wiener_index2294389
Ref: add_edge2294634
Ref: add_edges2295033
Ref: add_vertex2295423
Ref: add_vertices2295775
Ref: connect_vertices2295966
Ref: contract_edge2296525
Ref: remove_edge2297316
Ref: remove_vertex2297687
Ref: dimacs_export2297850
Ref: dimacs_import2298108
Ref: graph6_decode2298205
Ref: graph6_encode2298316
Ref: graph6_export2298426
Ref: graph6_import2298560
Ref: sparse6_decode2298668
Ref: sparse6_encode2298786
Ref: sparse6_export2298903
Ref: sparse6_import2299039
Ref: draw_graph2299192
Ref: draw_graph_program2302878
Ref: show_id2303058
Ref: show_label2303174
Ref: label_alignment_graphs2303296
Ref: show_weight2303481
Ref: vertex_type2303602
Ref: vertex_size2303791
Ref: vertex_color2303854
Ref: show_vertices2303936
Ref: show_vertex_type2304061
Ref: show_vertex_size2304258
Ref: show_vertex_color2304345
Ref: vertex_partition2304460
Ref: vertex_coloring_variable2304698
Ref: edge_color2304870
Ref: edge_width2304947
Ref: edge_type2305007
Ref: show_edges2305140
Ref: show_edge_color2305255
Ref: show_edge_width2305362
Ref: show_edge_type2305443
Ref: edge_partition2305597
Ref: edge_coloring_variable2305801
Ref: redraw2305963
Ref: head_angle_graphs2306156
Ref: head_length_graphs2306285
Ref: spring_embedding_depth2306417
Ref: terminal_graphs2306572
Ref: file_name_graphs2306700
Ref: program2306794
Ref: fixed_vertices2307236
Ref: vertices_to_path2307421
Ref: vertices_to_cycle2307563
Node: Package grobner2307707
Node: Introduction to grobner2307928
Node: Functions and Variables for grobner2309722
Ref: poly_add2312619
Ref: poly_subtract2312870
Ref: poly_multiply2313138
Ref: poly_s_polynomial2313385
Ref: poly_primitive_part2313547
Ref: poly_normalize2313793
Ref: poly_expand2314099
Ref: poly_expt2315579
Ref: poly_content2315876
Ref: poly_pseudo_divide2316084
Ref: poly_exact_divide2316708
Ref: poly_normal_form2316928
Ref: poly_buchberger_criterion2317119
Ref: poly_buchberger2317440
Ref: poly_reduction2318143
Ref: poly_minimization2318355
Ref: poly_normalize_list2318653
Ref: poly_grobner2318903
Ref: poly_reduced_grobner2319070
Ref: poly_depends_p2319253
Ref: poly_elimination_ideal2319395
Ref: poly_colon_ideal2319665
Ref: poly_ideal_intersection2319893
Ref: poly_lcm2320056
Ref: poly_gcd2320174
Ref: poly_grobner_equal2320816
Ref: poly_grobner_subsetp2321505
Ref: poly_grobner_member2321798
Ref: poly_ideal_saturation12322270
Ref: poly_ideal_saturation2322631
Ref: poly_ideal_polysaturation12323022
Ref: poly_ideal_polysaturation2323454
Ref: poly_saturation_extension2323768
Ref: poly_polysaturation_extension2323942
Node: Package hompack2324042
Node: Introduction to hompack2324262
Node: Functions and Variables for hompack2324558
Ref: hompack_polsys2324760
Node: Package impdiff2332110
Node: Functions and Variables for impdiff2332303
Ref: implicit_derivative2332497
Node: Package interpol2332956
Node: Introduction to interpol2333181
Node: Functions and Variables for interpol2333603
Ref: lagrange2333810
Ref: charfun22337993
Ref: linearinterpol2339314
Ref: cspline2341991
Ref: ratinterpol2346625
Node: Package itensor2348078
Node: Introduction to itensor2348298
Node: Functions and Variables for itensor2361197
Ref: dispcon2361464
Ref: entertensor2361740
Ref: changename2362061
Ref: listoftens2362446
Ref: ishow2362981
Ref: indices2363324
Ref: rename2364333
Ref: flipflag2367557
Ref: defcon2368182
Ref: remcon2369223
Ref: contract_Itensor2369490
Ref: indexed_tensor2370003
Ref: components2370254
Ref: remcomps2374440
Ref: showcomps2374575
Ref: idummy2377013
Ref: idummyx2377332
Ref: icounter2377467
Ref: kdelta2377716
Ref: kdels2378542
Ref: levi_civita2379404
Ref: lc2kdt2379660
Ref: lc_l2383127
Ref: lc_u2384212
Ref: canten2384518
Ref: concan2385123
Ref: allsym2385271
Ref: decsym2385649
Ref: remsym2388224
Ref: dispsym2388386
Ref: canform2388595
Ref: itensor_diff2389642
Ref: idiff2391059
Ref: liediff2391812
Ref: rediff2392611
Ref: undiff2392740
Ref: evundiff2393239
Ref: flush2395639
Ref: flushd2395799
Ref: flushnd2395957
Ref: coord2396680
Ref: remcoord2397092
Ref: makebox2397397
Ref: conmetderiv2397667
Ref: simpmetderiv2398545
Ref: flush1deriv2401694
Ref: imetric2401916
Ref: idim2402322
Ref: ichr12402496
Ref: ichr22402860
Ref: icurvature2403148
Ref: covdiff2403727
Ref: lorentz2405671
Ref: igeodesic_coords2405871
Ref: iframes2411217
Ref: ifb2411429
Ref: icc12412442
Ref: icc22413082
Ref: ifc12413761
Ref: ifc22414200
Ref: ifr2414606
Ref: ifri2414744
Ref: ifg2414939
Ref: ifgi2415057
Ref: iframe_bracket_form2415176
Ref: inm2415655
Ref: inmc12415999
Ref: inmc22416373
Ref: ikt12416926
Ref: ikt22417371
Ref: itr2417651
Ref: ~2422241
Ref: |2423819
Ref: extdiff2425222
Ref: hodge2426708
Ref: igeowedge_flag2428207
Ref: tentex2429040
Ref: ic_convert2430548
Node: Package lapack2433364
Node: Introduction to lapack2433577
Node: Functions and Variables for lapack2433913
Ref: dgeev2434110
Ref: dgeqrf2437160
Ref: dgesv2438983
Ref: dgesvd2442457
Ref: dlange2447753
Ref: zlange2447753
Ref: dgemm2448791
Ref: zgeev2453928
Ref: zheev2454169
Node: Package lbfgs2458564
Node: Introduction to lbfgs2458771
Node: Functions and Variables for lbfgs2459800
Ref: lbfgs_func2459992
Ref: lbfgs_nfeval_max2474710
Ref: lbfgs_ncorrections2475000
Node: Package levin2475208
Node: Introduction to levin2475466
Node: Functions and Variables for levin2476890
Ref: levin_u_sum2477109
Ref: bflevin_u_sum2478063
Ref: levin_options2478753
Node: Examples for levin2479983
Node: References for levin2485034
Ref: levin-19732485248
Ref: smith-ford-19792486103
Ref: smith-ford-19822486362
Ref: sidi-20032487357
Ref: bender-orszag2487713
Node: Package lindstedt2487885
Node: Functions and Variables for lindstedt2488089
Ref: Lindstedt2488293
Node: Package linearalgebra2489633
Node: Introduction to linearalgebra2489886
Node: Functions and Variables for linearalgebra2494431
Ref: addmatrices2494663
Ref: blockmatrixp2495175
Ref: columnop2495299
Ref: columnswap2495537
Ref: columnspace2495695
Ref: cholesky2495993
Ref: ctranspose2496308
Ref: diag_matrix2496515
Ref: dotproduct2497490
Ref: eigens_by_jacobi2497702
Ref: get_lu_factors2500838
Ref: hankel2501143
Ref: hessian2501432
Ref: hilbert_matrix2502561
Ref: identfor2502699
Ref: invert_by_lu2503279
Ref: jacobian2503448
Ref: kronecker_product2504406
Ref: locate_matrix_entry2504514
Ref: lu_backsub2505466
Ref: lu_factor2509775
Ref: mat_cond2515261
Ref: mat_norm2515788
Ref: linearalgebra_matrixp2516109
Ref: matrix_size2516505
Ref: mat_fullunblocker2516649
Ref: mat_trace2516820
Ref: mat_unblocker2517061
Ref: nullspace2518464
Ref: nullity2518754
Ref: orthogonal_complement2518855
Ref: polytocompanion2519132
Ref: ptringularize2519426
Ref: rowp2519868
Ref: linalg_rank2520098
Ref: rowswap2520599
Ref: toeplitz2520748
Ref: vandermonde_matrix2521582
Ref: zerofor2521742
Ref: zeromatrixp2522289
Node: Package lsquares2522583
Node: Introduction to lsquares2522814
Node: Functions and Variables for lsquares2523164
Ref: lsquares_estimates2523371
Ref: lsquares_estimates_exact2529896
Ref: lsquares_estimates_approximate2532213
Ref: lsquares_mse2535249
Ref: lsquares_residuals2539595
Ref: lsquares_residual_mse2541753
Ref: plsquares2543842
Node: Package minpack2547996
Node: Introduction to minpack2548220
Node: Functions and Variables for minpack2548573
Ref: minpack_lsquares2548775
Ref: minpack_solve2551959
Node: Package makeOrders2554384
Node: Functions and Variables for makeOrders2554588
Ref: makeOrders_func2554797
Node: Package mnewton2555617
Node: Introduction to mnewton2555844
Node: Functions and Variables for mnewton2556159
Ref: newtonepsilon2556361
Ref: newtonmaxiter2556712
Ref: newtondebug2556937
Ref: mnewton2557124
Node: Package numericalio2559676
Ref: numericalio2559988
Node: Introduction to numericalio2559988
Node: Functions and Variables for plain-text input and output2564383
Ref: read_matrix2564713
Ref: read_array2566444
Ref: read_hashed_array2567355
Ref: read_nested_list2568434
Ref: read_list2569399
Ref: write_data2570383
Node: Functions and Variables for binary input and output2571917
Ref: assume_external_byte_order2572203
Ref: openr_binary2572714
Ref: openw_binary2572904
Ref: opena_binary2573116
Ref: read_binary_matrix2573258
Ref: read_binary_array2573682
Ref: read_binary_list2574175
Ref: write_binary_data2574796
Node: Package odepack2575878
Node: Introduction to ODEPACK2576143
Ref: Introduction to ODEPACK-Footnote-12577345
Node: Getting Started with ODEPACK2577400
Node: Functions and Variables for odepack2582093
Ref: dlsode_init2582300
Ref: dlsode_step2583982
Node: Package operatingsystem2586941
Node: Introduction to operatingsystem2587225
Node: Directory operations2587558
Ref: chdir2587755
Ref: mkdir2587815
Ref: rmdir2587872
Ref: getcurrentdirectory2587929
Node: File operations2588223
Ref: copy_file2588401
Ref: rename_file2588481
Ref: delete_file2588564
Node: Environment operations2588627
Ref: getenv2588790
Node: Package opsubst2589039
Node: Functions and Variables for opsubst2589241
Ref: opsubst_func2589435
Node: Package orthopoly2591745
Node: Introduction to orthogonal polynomials2591998
Ref: Floating point Evaluation2602776
Node: Functions and Variables for orthogonal polynomials2610082
Ref: assoc_legendre_p2610346
Ref: assoc_legendre_q2612075
Ref: chebyshev_t2613582
Ref: chebyshev_u2614901
Ref: gen_laguerre2616337
Ref: hermite2618054
Ref: intervalp2619570
Ref: jacobi_p2619687
Ref: laguerre2620711
Ref: legendre_p2621994
Ref: legendre_q2623673
Ref: orthopoly_recur2624904
Ref: orthopoly_weight2626456
Ref: pochhammer2627201
Ref: spherical_bessel_j2629181
Ref: spherical_bessel_y2630928
Ref: spherical_hankel12632678
Ref: spherical_hankel22633013
Ref: spherical_harmonic2633349
Ref: unit_step2635984
Ref: ultraspherical2636250
Node: Package pslq2637619
Node: Introduction to pslq2637830
Node: Functions and Variables for pslq2638311
Ref: guess_exact_value2638498
Node: Package pytranslate2642832
Node: Introduction to pytranslate2643090
Node: Functions in pytranslate2645766
Node: Extending pytranslate2648247
Node: Package quantum_computing2653557
Node: Introduction to quantum_computing2653830
Node: Functions and Variables for Quantum_Computing2654839
Ref: binlist2655091
Ref: binlist2dec2655607
Ref: CNOT2655741
Ref: controlled2655965
Ref: gate2656535
Ref: gate_matrix2657407
Ref: linsert2658011
Ref: lreplace2658232
Ref: normalize2658653
Ref: qdisplay2658766
Ref: qmatrix2658996
Ref: qmeasure2659470
Ref: qubits2660191
Ref: qswap2660499
Ref: Rx2660704
Ref: Ry2660868
Ref: Rz2661032
Ref: tprod2661196
Ref: toffoli2661319
Node: Package ratpow2661568
Node: Functions and Variables for ratpow2662801
Ref: ratp_hipow2662967
Ref: ratp_lopow2663293
Ref: ratp_coeffs2664338
Ref: ratp_dense_coeffs2664721
Node: Package romberg2665077
Node: Functions and Variables for romberg2665268
Ref: romberg_function2665462
Ref: rombergabs2670362
Ref: rombergit2670944
Ref: rombergmin2671400
Ref: rombergtol2671704
Node: Package simplex2672287
Node: Introduction to simplex2672514
Node: Functions and Variables for simplex2674684
Ref: epsilon_lp2674886
Ref: linear_program2675730
Ref: maximize_lp2676841
Ref: minimize_lp2677108
Ref: nonnegative_lp2680586
Ref: scale_lp2680915
Ref: pivot_count_sx2681125
Ref: pivot_max_sx2681268
Node: Package simplification2681391
Node: Introduction to simplification2681713
Node: Package absimp2682110
Node: Package facexp2683191
Ref: facsum2684502
Ref: nextlayerfactor2686467
Ref: facsum_combine2687221
Ref: factorfacsum2687940
Ref: collectterms2688271
Node: Package functs2689558
Ref: rempart2689716
Ref: wronskian2689958
Ref: tracematrix2690640
Ref: nonzeroandfreeof2691125
Ref: gcdivide2692128
Ref: arithmetic2693867
Ref: geometric2694090
Ref: harmonic2694305
Ref: arithsum2694551
Ref: geosum2694713
Ref: gaussprob2694985
Ref: gd2695164
Ref: agd2695314
Ref: vers2695483
Ref: covers2695618
Ref: exsec2695759
Ref: hav2695894
Ref: combination2696029
Ref: permutation2696209
Node: Package ineq2696404
Node: Package rducon2700528
Ref: reduce_consts2700686
Node: Package scifac2702111
Ref: gcfac2702248
Node: Package solve_rec2703243
Node: Introduction to solve_rec2703478
Node: Functions and Variables for solve_rec2704220
Ref: harmonic_number2704432
Ref: harmonic_to_psi2705249
Ref: reduce_order2705609
Ref: simplify_products2707400
Ref: simplify_sum2707614
Ref: solve_rec2708457
Ref: solve_rec_rat2711459
Ref: product_use_gamma2712337
Ref: summand_to_rec2712608
Node: Package stats2713889
Node: Introduction to stats2714205
Node: Functions and Variables for inference_result2715372
Ref: inference_result2715639
Ref: inferencep2717517
Ref: items_inference2717668
Ref: take_inference2718403
Node: Functions and Variables for stats2720277
Ref: stats_numer2720550
Ref: test_mean2720821
Ref: test_means_difference2725326
Ref: test_variance2730321
Ref: test_variance_ratio2732957
Ref: test_proportion2735802
Ref: test_proportions_difference2739427
Ref: test_sign2743232
Ref: test_signed_rank2745234
Ref: test_rank_sum2748398
Ref: test_normality2751211
Ref: linear_regression2752286
Node: Functions and Variables for special distributions2756046
Ref: pdf_signed_rank2756298
Ref: cdf_signed_rank2756538
Ref: pdf_rank_sum2756782
Ref: cdf_rank_sum2757034
Node: Package stirling2757290
Node: Functions and Variables for stirling2757487
Ref: stirling2757686
Node: Package stringproc2760208
Node: Introduction to String Processing2760511
Node: String Input and Output2763966
Ref: close2764840
Ref: flength2764944
Ref: flush_output2765176
Ref: fposition2765335
Ref: freshline2765797
Ref: get_output_stream_string2766207
Ref: make_string_input_stream2766502
Ref: make_string_output_stream2767299
Ref: newline2768001
Ref: opena2768354
Ref: openr2768631
Ref: openw2769505
Ref: printf2769870
Ref: readbyte2775206
Ref: readchar2776110
Ref: readline2776333
Ref: sprint2776552
Ref: writebyte2777354
Node: Characters2778755
Ref: adjust_external_format2778948
Ref: alphacharp2781223
Ref: alphanumericp2782224
Ref: ascii2782452
Ref: cequal2782986
Ref: cequalignore2783103
Ref: cgreaterp2783381
Ref: cgreaterpignore2783531
Ref: charp2783815
Ref: cint2783937
Ref: clessp2784871
Ref: clesspignore2785015
Ref: constituent2785293
Ref: digitcharp2785927
Ref: lowercasep2786085
Ref: newline_variable2786228
Ref: space_variable2786301
Ref: tab_variable2786349
Ref: unicode2786393
Ref: unicode_to_utf82788424
Ref: uppercasep2788983
Ref: us_ascii_only2789127
Ref: utf8_to_unicode2790089
Node: String Processing2790303
Ref: charat2790559
Ref: charlist2790869
Ref: eval_string2791042
Ref: parse_string2791665
Ref: scopy2792310
Ref: sdowncase2792392
Ref: sequal2792620
Ref: sequalignore2792767
Ref: sexplode2793049
Ref: simplode2793146
Ref: sinsert2793854
Ref: sinvertcase2794383
Ref: slength2794837
Ref: smake2794923
Ref: smismatch2795120
Ref: split2795611
Ref: sposition2796425
Ref: sremove2796672
Ref: sremovefirst2797463
Ref: sreverse2797802
Ref: ssearch2797949
Ref: ssort2798629
Ref: ssubst2799351
Ref: ssubstfirst2800297
Ref: strim2800658
Ref: striml2801009
Ref: strimr2801126
Ref: stringp2801244
Ref: substring2801353
Ref: supcase2801950
Ref: tokens2802438
Node: Octets and Utilities for Cryptography2803295
Ref: base642803503
Ref: base64_decode2804494
Ref: crc24sum2804966
Ref: md5sum2806759
Ref: mgf1_sha12808678
Ref: number_to_octets2809628
Ref: octets_to_number2810091
Ref: octets_to_oid2810260
Ref: octets_to_string2810664
Ref: oid_to_octets2812624
Ref: sha1sum2812775
Ref: sha256sum2814013
Ref: string_to_octets2814778
Node: Regular Expressions2815470
Node: Introduction to Regular Expressions2815616
Node: Functions and Variables2816282
Ref: regex_compile2816468
Ref: regex_match_pos2816915
Ref: regex_match2818543
Ref: regex_split2821794
Ref: regex_subst_first2822115
Ref: regex_subst2822865
Ref: string_to_regex2823176
Node: Package sym2823897
Node: Introduction to Symmetries2824120
Node: Functions and Variables for Symmetries2825670
Ref: comp2pui2825925
Ref: ele2pui2826524
Ref: ele2comp2826745
Ref: elem2826966
Ref: mon2schur2828423
Ref: multi2829574
Ref: multi_pui2830308
Ref: pui2830768
Ref: pui2comp2832119
Ref: pui2ele2833390
Ref: puireduc2833796
Ref: schur2comp2834483
Ref: cont2part2835211
Ref: contract2835653
Ref: explose2836498
Ref: part2cont2836762
Ref: partpol2837116
Ref: tcontract2837401
Ref: tpartpol2837618
Ref: direct2837887
Ref: multi_orbit2841618
Ref: multsym2842295
Ref: orbit2843161
Ref: pui_direct2843714
Ref: kostka2845972
Ref: lgtreillis2846218
Ref: ltreillis2846474
Ref: treillis2846760
Ref: treinat2846999
Ref: ele2polynome2847633
Ref: polynome2ele2848466
Ref: prodrac2849063
Ref: pui2polynome2849317
Ref: somrac2849983
Ref: resolvante2850277
Ref: resolvante_alternee12857704
Ref: resolvante_bipartite2858112
Ref: resolvante_diedrale2858707
Ref: resolvante_klein2859433
Ref: resolvante_klein32859794
Ref: resolvante_produit_sym2860155
Ref: resolvante_unitaire2861260
Ref: resolvante_vierer2861619
Ref: multinomial2862021
Ref: permut2862299
Node: Package to_poly_solve2862382
Node: Functions and Variables for to_poly_solve2862596
Ref: complex_number_p2870728
Ref: compose_functions2871660
Ref: dfloat2873696
Ref: elim2874797
Ref: elim_allbut2877489
Ref: eliminate_using2878231
Ref: fourier_elim2879696
Ref: isreal_p2883110
Ref: new_variable2884470
Ref: nicedummies2886234
Ref: real_imagpart_to_conjugate2888381
Ref: rectform_log_if_constant2889142
Ref: simp_inequality2890184
Ref: standardize_inverse_trig2892148
Ref: subst_parallel2892679
Ref: to_poly2894826
Ref: %union2911622
Node: Package trigtools2913506
Node: Introduction to trigtools2913754
Ref: Introduction to trigtools-Footnote-12914681
Node: Functions and Variables for trigtools2914846
Node: Convert to sin and cos2915334
Ref: c2sin2915580
Ref: c2cos2915606
Node: Convert to Trigonometric Functions2918743
Ref: c2trig2919007
Node: Convert to Hyperbolic Functions2921719
Ref: c2hyp2921991
Node: Factor Sums of sin and cos Functions2922728
Ref: trigfactor2923005
Node: Solve Trigonometric Equations2927806
Ref: trigsolve2928075
Node: Evaluation of Trigonometric Functions2937807
Ref: trigvalue2938079
Ref: trigeval2938392
Node: Contract atan Functions2945970
Ref: atan_contract2946176
Node: References2948186
Node: Package unit2948367
Node: Introduction to Units2948578
Node: Functions and Variables for Units2952300
Ref: setunits2952493
Ref: uforget2957423
Ref: convert2958757
Ref: usersetunits2962212
Ref: metricexpandall2970758
Node: Package wrstcse2971898
Node: Introduction to wrstcse2972120
Node: Functions and Variables for wrstcse2975773
Ref: wc_typicalvalues2975977
Ref: wc_inputvalueranges2976971
Ref: wc_systematic2979368
Ref: wc_ewc_simplify2981294
Ref: wc_montecarlo2987579
Ref: wc_mintypmax2988753
Ref: wc_mintypmax_percent2990113
Ref: wc_mintypmax_rss2991454
Ref: wc_mintypmax_rss_percent2993555
Ref: wc_defaultsigma2994946
Ref: wc_defaultvaluespertol2996702
Ref: wc_tolappend2999014
Ref: wc_mintypmax2tol3001077
Ref: wc_inputvalueassumptions3002402
Ref: wc_tolassumptions3004082
Node: Package zeilberger3006027
Node: Introduction to zeilberger3006275
Node: Functions and Variables for zeilberger3008300
Ref: AntiDifference3008519
Ref: Gosper3008704
Ref: GosperSum3008935
Ref: parGosper3010873
Ref: Zeilberger3011202
Node: General global variables3011923
Ref: MAX_ORD3012133
Ref: simplified_output3012273
Ref: linear_solver3012490
Ref: warnings3012683
Ref: Gosper_in_Zeilberger3012874
Ref: trivial_solutions3013158
Node: Variables related to the modular test3013397
Ref: mod_test3013586
Ref: modular_linear_solver3013777
Ref: ev_point3013964
Ref: mod_big_prime3014166
Ref: mod_threshold3014333
Node: Function and Variable Index3014504

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