This is maxima.info, produced by gtexi2any version 7.1 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: 265
maxima.info-2: 1008939
maxima.info-3: 2095472
maxima.info-4: 3006095

Tag Table:
(Indirect)
Node: Top265
Node: Introduction to Maxima18500
Node: Command-line options25465
Ref: command_line_options25631
Node: Runtime Environment28566
Node: Introduction for Runtime Environment28853
Node: Interrupts31841
Node: Functions and Variables for Runtime Environment32970
Ref: maxima_tempdir33197
Ref: maxima_userdir33668
Ref: room34397
Ref: sstatus34820
Ref: status35302
Ref: system36355
Ref: time39590
Ref: timedate40102
Ref: parse_timedate42071
Ref: encode_time45793
Ref: decode_time48321
Ref: absolute_real_time50067
Ref: elapsed_real_time50505
Ref: elapsed_run_time51012
Node: Bug Detection and Reporting51572
Node: Functions and Variables for Bug Detection and Reporting51811
Ref: bug_report52051
Ref: build_info52490
Ref: run_testsuite54906
Ref: testsuite_files57385
Node: Help58232
Node: Documentation58413
Node: Functions and Variables for Help59672
Ref: apropos59842
Ref: demo61625
Ref: describe62862
Ref: output_format_for_help65982
Ref: browser66785
Ref: url_base67746
Ref: example68673
Ref: manual_demo70110
Node: Command Line70320
Node: Introduction to Command Line70578
Node: Functions and Variables for Command Line70976
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Ref: read93883
Ref: readonly94453
Ref: reset95139
Ref: showtime95620
Ref: to_lisp95994
Ref: eval_string_lisp97104
Ref: values97982
Node: Functions and Variables for Display99087
Ref: %edispflag99301
Ref: absboxchar99929
Ref: declare_index_properties100387
Ref: get_index_properties103995
Ref: remove_index_properties104172
Ref: display_index_separator104466
Ref: disp109729
Ref: display110421
Ref: display2d111305
Ref: display_format_internal113082
Ref: with_default_2d_display113792
Ref: display2d_unicode114241
Ref: dispterms115068
Ref: expt116058
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Ref: negsumdispflag127866
Ref: obase128283
Ref: pfeformat129468
Ref: powerdisp130310
Ref: print131119
Ref: sqrtdispflag132466
Ref: stardisp132631
Ref: ttyoff132811
Node: Data Types and Structures133181
Node: Numbers133428
Node: Introduction to Numbers133650
Node: Functions and Variables for Numbers134414
Ref: bfloat134610
Ref: bfloatp136781
Ref: bftorat136893
Ref: bftrunc138036
Ref: bigfloat_bits138347
Ref: bigfloat_eps138839
Ref: decode_float139367
Ref: evenp140916
Ref: float141141
Ref: float2bf141413
Ref: float_bits141639
Ref: float_eps141741
Ref: float_precision141874
Ref: float_sign142325
Ref: float_infinity_p143351
Ref: float_nan_p144328
Ref: floatnump145109
Ref: fpprec145234
Ref: fpprintprec145517
Ref: integerp146595
Ref: integer_decode_float147545
Ref: is_power_of_two150065
Ref: m1pbranch151605
Ref: nonnegintegerp152214
Ref: numberp152327
Ref: numer153546
Ref: numer_pbranch154269
Ref: numerval155419
Ref: oddp155896
Ref: ratepsilon156117
Ref: rationalize156405
Ref: ratnump157882
Ref: scale_float158028
Ref: unit_in_last_place159439
Node: Strings161470
Node: Introduction to Strings161676
Node: Functions and Variables for Strings163799
Ref: concat163995
Ref: sconcat165480
Ref: string166136
Ref: stringdisp166443
Node: Constants167229
Node: Functions and Variables for Constants167411
Ref: %catalan167601
Ref: %e168285
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Ref: false168729
Ref: %gamma168886
Ref: ind169481
Ref: inf169686
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Ref: least_negative_float169830
Ref: least_negative_normalized_float170197
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Ref: minf171022
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Ref: most_positive_float171240
Ref: %phi171372
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Node: Lists175136
Node: Introduction to Lists175372
Node: Functions and Variables for Lists176241
Ref: [176472
Ref: ]176472
Ref: append178016
Ref: assoc178397
Ref: cons180020
Ref: copylist181507
Ref: create_list181581
Ref: delete182825
Ref: eighth185243
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Ref: length196178
Ref: listarith197058
Ref: lreduce197510
Ref: makelist198887
Ref: member200833
Ref: ninth202229
Ref: pop202356
Ref: push202660
Ref: rest203958
Ref: reverse205126
Ref: rreduce205375
Ref: second206863
Ref: seventh206991
Ref: sixth207120
Ref: sort207247
Ref: sublist213323
Ref: sublist_indices213653
Ref: tenth214751
Ref: third214879
Ref: tree_reduce215006
Ref: unique216368
Ref: xreduce216755
Node: Performance considerations for Lists218504
Node: Arrays220771
Ref: hashed array220936
Ref: hashed arrays220936
Ref: undeclared array220936
Ref: undeclared arrays220936
Node: Functions and Variables for Arrays222148
Ref: array222323
Ref: arrayapply223167
Ref: arrayinfo223438
Ref: arraymake227960
Ref: arrays229765
Ref: arraysetapply230954
Ref: fillarray231180
Ref: listarray233359
Ref: make_array237156
Ref: rearray239338
Ref: remarray239720
Ref: subvar240303
Ref: subvarp241043
Ref: use_fast_arrays241166
Ref: translate_fast_arrays241872
Node: Structures242348
Node: Introduction to Structures242550
Node: Functions and Variables for Structures244221
Ref: structures244432
Ref: defstruct244560
Ref: new246141
Node: Expressions248565
Node: Introduction to Expressions248834
Node: Nouns and Verbs250429
Node: Identifiers252860
Node: Inequality255156
Node: Functions and Variables for Expressions255475
Ref: alias255670
Ref: aliases255899
Ref: allbut256172
Ref: args257212
Ref: atom258382
Ref: display_box_double_lines258660
Ref: box259115
Ref: boxchar261330
Ref: collapse261751
Ref: copy262314
Ref: disolate263138
Ref: dispform263650
Ref: dpart265584
Ref: exptisolate266195
Ref: exptsubst266415
Ref: freeof267132
Ref: inflag271028
Ref: inpart271874
Ref: isolate273158
Ref: isolate_wrt_times274069
Ref: listconstvars274859
Ref: listdummyvars275392
Ref: listofvars276115
Ref: lfreeof276705
Ref: lpart277183
Ref: mainvar277405
Ref: noun278171
Ref: noundisp278795
Ref: nounify279011
Ref: nterms279421
Ref: op279789
Ref: operatorp281575
Ref: option_opsubst282016
Ref: optimize282898
Ref: optimprefix283279
Ref: ordergreat283442
Ref: orderless283442
Ref: ordergreatp284280
Ref: orderlessp284280
Ref: part288119
Ref: partition289644
Ref: partswitch290231
Ref: pickapart290461
Ref: piece293460
Ref: psubst293675
Ref: rembox294548
Ref: reveal297681
Ref: sqrtdenest300261
Ref: sublis301135
Ref: sublis_apply_lambda301612
Ref: subnumsimp301902
Ref: subst302433
Ref: substinpart305927
Ref: substpart308391
Ref: symbolp309584
Ref: unorder309718
Ref: verbify311163
Node: Operators311554
Node: Introduction to operators311859
Node: Arithmetic operators316103
Ref: +316283
Ref: -316283
Ref: *316283
Ref: /316283
Ref: ^316283
Ref: **323400
Ref: ^^324201
Ref: .324971
Node: Relational operators325447
Ref: <325619
Ref: <=325619
Ref: >=325619
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Node: Logical operators328332
Ref: and328501
Ref: not329574
Ref: or330166
Node: Operators for Equations331228
Ref: #331409
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Node: Assignment operators336440
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Ref: ::=340197
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Node: User defined operators349069
Ref: infix349221
Ref: matchfix353484
Ref: function_nary358201
Ref: nofix358816
Ref: postfix359385
Ref: prefix359876
Node: Evaluation360280
Node: Functions and Variables for Evaluation360453
Ref: quote360646
Ref: quote-quote365318
Ref: ev370823
Ref: eval379855
Ref: evflag380413
Ref: evfun382984
Ref: infeval385913
Ref: noeval386298
Ref: nouns386524
Ref: pred386838
Node: Simplification387213
Node: Introduction to Simplification387444
Node: Functions and Variables for Simplification397803
Ref: additive398032
Ref: antisymmetric398991
Ref: combine400048
Ref: commutative400634
Ref: demoivre401391
Ref: function_distrib402118
Ref: distribute_over403027
Ref: domain405306
Ref: evenfun405501
Ref: oddfun405501
Ref: expand406187
Ref: expandwrt410520
Ref: expandwert_denom411100
Ref: expandwrt_factored411522
Ref: expon411882
Ref: exponentialize412175
Ref: expop412777
Ref: lassociative413239
Ref: linear413495
Ref: maxnegex415223
Ref: maxposex415415
Ref: multiplicative415600
Ref: multthru417541
Ref: property_nary419892
Ref: negdistrib420625
Ref: opproperties421447
Ref: define_opproperty421912
Ref: outative423510
Ref: radcan424830
Ref: radexpand426073
Ref: rassociative427007
Ref: resimplify427255
Ref: scsimp428240
Ref: simp428665
Ref: symmetric430372
Ref: xthru430626
Node: Elementary Functions431860
Node: Functions for Numbers432210
Ref: abs432381
Ref: ceiling435799
Ref: entier439560
Ref: floor439776
Ref: fix441712
Ref: hstep441777
Ref: lmax442072
Ref: lmin442268
Ref: max442464
Ref: min444281
Ref: round446091
Ref: signum446430
Ref: truncate447219
Node: Functions for Complex Numbers447545
Ref: cabs447764
Ref: carg451718
Ref: conjugate453651
Ref: imagpart454173
Ref: polarform454777
Ref: realpart455464
Ref: rectform456048
Node: Combinatorial Functions456507
Ref: !!456735
Ref: binomial457482
Ref: factcomb458487
Ref: !459425
Ref: factorial459425
Ref: factlim463080
Ref: factorial_expand463272
Ref: genfact463524
Ref: minfactorial463767
Ref: sumsplitfact464314
Node: Root Exponential and Logarithmic Functions465328
Ref: %e_to_numlog465590
Ref: %emode466031
Ref: %enumer467685
Ref: exp468771
Ref: li469785
Ref: log472027
Ref: logabs473572
Ref: logarc474324
Ref: logconcoeffp474565
Ref: logcontract475002
Ref: logexpand476039
Ref: lognegint479291
Ref: logsimp479463
Ref: plog479628
Ref: sqrt479775
Node: Trigonometric Functions479937
Node: Introduction to Trigonometric480240
Node: Functions and Variables for Trigonometric481370
Node: Trigonometric and Hyperbolic Functions481771
Ref: acos482077
Ref: acosh482278
Ref: acot482491
Ref: acoth482695
Ref: acsc482911
Ref: acsch483114
Ref: asec483329
Ref: asech483530
Ref: asin483743
Ref: asinh483942
Ref: atan484153
Ref: atan2484383
Ref: atanh484828
Ref: cos485042
Ref: cosh485238
Ref: cot485446
Ref: coth485645
Ref: csc485856
Ref: csch486054
Ref: sec486264
Ref: sech486460
Ref: sin486668
Ref: sinh486862
Ref: tan487068
Ref: tanh487265
Node: Options Controlling Simplification487474
Ref: %piargs487772
Ref: %iargs489758
Ref: halfangles490802
Ref: trigsign492700
Node: Explicit Simplifications Using Identities492974
Ref: trigexpand493268
Ref: trigexpandplus494730
Ref: trigexpandtimes495086
Ref: triginverses495452
Ref: trigreduce495979
Ref: trigsimp496609
Ref: trigrat497022
Node: Additional Functions499896
Ref: atrig1500105
Ref: ntrig500502
Node: Random Numbers500812
Ref: make_random_state500956
Ref: set_random_state501731
Ref: random501880
Node: Maxima's Database503545
Node: Introduction to Maxima's Database503863
Node: Functions and Variables for Properties504102
Ref: alphabetic504367
Ref: bindtest505021
Ref: constant505591
Ref: constantp506167
Ref: declare507390
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Node: Functions and Variables for Facts525478
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Ref: compare545496
Ref: equal546686
Ref: notequal550999
Ref: unknown551938
Ref: zeroequiv552096
Node: Plotting553308
Node: Introduction to Plotting553614
Node: Plotting Formats556901
Node: Functions and Variables for Plotting560795
Ref: geomview_command561011
Ref: get_plot_option561589
Ref: gnuplot_command562012
Ref: gnuplot_file_args562607
Ref: gnuplot_view_args563225
Ref: julia564683
Ref: make_transform566580
Ref: mandelbrot567339
Ref: polar_to_xy568936
Ref: plot2d569255
Ref: plot3d578880
Ref: plot_options584098
Ref: remove_plot_option584447
Ref: reset_plot_options584672
Ref: set_plot_option584920
Ref: spherical_to_xyz586178
Ref: xmaxima_plot_command586636
Node: Plotting Options587208
Ref: adapt_depth588830
Ref: axes589386
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Ref: option_box590570
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Node: Functions and Variables for TeX Output658398
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Node: Functions and Variables for Fortran Output669189
Ref: fortindent669433
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Ref: fortspaces672200
Node: Polynomials672382
Node: Introduction to Polynomials672700
Node: Functions and Variables for Polynomials675864
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Ref: bezout676548
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Ref: fasttimes696419
Ref: fullratsimp696884
Ref: fullratsubst698545
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Ref: gcd701017
Ref: gcdex703360
Ref: gcfactor705200
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Ref: gfactorsum705835
Ref: hipow705962
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Ref: keepfloat707598
Ref: lowpow708528
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Ref: modulus710711
Ref: num712622
Ref: polydecomp713398
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Ref: quotient718022
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Ref: sqfr743337
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Ref: untelltat746875
Node: Introduction to algebraic extensions746983
Node: Functions and Variables for algebraic extensions750479
Ref: algfac750729
Ref: algnorm751388
Ref: algtrace751925
Ref: bdiscr752298
Ref: primelmt752975
Ref: splitfield755353
Node: Special Functions757322
Node: Introduction to Special Functions757769
Node: Bessel Functions759962
Ref: bessel_j760142
Ref: bessel_y760989
Ref: bessel_i761738
Ref: bessel_k762600
Ref: hankel_1763359
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Ref: besselexpand766000
Ref: scaled_bessel_i768010
Ref: scaled_bessel_i0768506
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Node: Airy Functions769761
Ref: airy_ai770750
Ref: airy_dai770997
Ref: airy_bi771139
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Node: Gamma and Factorial Functions771526
Ref: bffac771895
Ref: bfpsi772374
Ref: cbffac773372
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Ref: gamma_incomplete778018
Ref: gamma_incomplete_regularized778820
Ref: gamma_incomplete_generalized779423
Ref: gamma_expand780108
Ref: gammalim781847
Ref: makegamma782263
Ref: beta782913
Ref: beta_incomplete_regularized793064
Ref: beta_expand802181
Ref: polygamma802681
Ref: maxpsiposint804536
Ref: maxpsinegint805316
Ref: maxpsifracnum806642
Ref: maxpsifracdenom807633
Ref: makefact808634
Node: Exponential Integrals809815
Ref: expintegral_e1810198
Ref: expintegral_e811345
Ref: expintegral_si811736
Ref: expintegral_ci812075
Ref: expintegral_shi812469
Ref: expintegral_chi812813
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Node: Error Function823813
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Ref: erf_representation826380
Ref: hypergeometric_representation830483
Node: Struve Functions833268
Ref: struve_h833902
Ref: struve_l834423
Node: Hypergeometric Functions834899
Ref: %w835948
Ref: hgfred839690
Node: Parabolic Cylinder Functions841685
Ref: parabolic_cylinder_d842211
Node: Functions and Variables for Special Functions842792
Ref: kbateman843608
Node: Elliptic Functions846435
Node: Introduction to Elliptic Functions and Integrals846744
Node: Functions and Variables for Elliptic Functions851059
Ref: jacobi_sn851519
Ref: jacobi_cn851600
Ref: jacobi_dn851681
Ref: jacobi_ns851762
Ref: jacobi_sc851855
Ref: jacobi_sd851954
Ref: jacobi_nc852053
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Ref: jacobi_cd852245
Ref: jacobi_nd852344
Ref: jacobi_ds852437
Ref: jacobi_dc852536
Ref: jacobi_am852635
Ref: inverse_jacobi_dn854207
Ref: inverse_jacobi_ns854820
Ref: inverse_jacobi_sc855429
Ref: inverse_jacobi_sd856035
Ref: inverse_jacobi_nc856653
Ref: inverse_jacobi_cs857257
Ref: inverse_jacobi_cd857852
Ref: inverse_jacobi_nd858459
Ref: inverse_jacobi_ds859082
Ref: inverse_jacobi_dc859690
Node: Functions and Variables for Elliptic Integrals860294
Ref: elliptic_f860555
Ref: elliptic_e860772
Ref: elliptic_eu861009
Ref: elliptic_pi861386
Ref: elliptic_kc861565
Ref: elliptic_ec861855
Ref: carlson_rc862144
Ref: carlson_rd863035
Ref: carlson_rf863669
Ref: carlson_rj864275
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Node: Functions and Variables for Limits865635
Ref: lhospitallim865808
Ref: limit866054
Ref: limsubst868203
Ref: tlimit868490
Ref: tlimswitch868742
Ref: gruntz869239
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Node: Functions and Variables for Differentiation870833
Ref: antid871051
Ref: antidiff873505
Ref: at875793
Ref: atomgrad878915
Ref: atvalue879059
Ref: del881706
Ref: delta882464
Ref: dependencies882928
Ref: depends884651
Ref: derivabbrev887164
Ref: derivdegree887437
Ref: derivlist888053
Ref: derivsubst888212
Ref: diff888436
Ref: symbol_diff892008
Ref: express892174
Ref: gradef894939
Ref: gradefs897011
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Node: Introduction to Integration897590
Node: Functions and Variables for Integration898606
Ref: changevar898853
Ref: dblint901193
Ref: defint903734
Ref: erfflag904313
Ref: ilt904551
Ref: intanalysis906901
Ref: integrate908120
Ref: integration_constant917074
Ref: integration_constant_counter917954
Ref: integrate_use_rootsof919316
Ref: laplace921573
Ref: ldefint925808
Ref: pwilt926557
Ref: potential927491
Ref: prefer_d928051
Ref: residue929071
Ref: risch929752
Ref: specint930795
Ref: tldefint935075
Node: Introduction to QUADPACK935198
Ref: Introduction to QUADPACK-Footnote-1938975
Ref: Introduction to QUADPACK-Footnote-2939041
Ref: Introduction to QUADPACK-Footnote-3939107
Ref: Introduction to QUADPACK-Footnote-4939151
Ref: Introduction to QUADPACK-Footnote-5939213
Ref: Introduction to QUADPACK-Footnote-6939253
Ref: Introduction to QUADPACK-Footnote-7939295
Node: Functions and Variables for QUADPACK939480
Ref: quad_qag939682
Ref: quad_qags942481
Ref: quad_qagi944718
Ref: quad_qawc947253
Ref: quad_qawf950678
Ref: quad_qawo953391
Ref: quad_qaws956430
Ref: quad_qagp959225
Ref: quad_control962101
Node: Equations962715
Node: Functions and Variables for Equations962947
Ref: %rnum963135
Ref: %rnum_list963407
Ref: algepsilon964485
Ref: algexact964591
Ref: algsys965228
Ref: allroots970128
Ref: bfallroots972542
Ref: backsubst972961
Ref: breakup973695
Ref: dimension977221
Ref: dispflag977481
Ref: funcsolve977808
Ref: globalsolve978770
Ref: ieqn980444
Ref: ieqnprint984566
Ref: lhs985278
Ref: linsolve986929
Ref: linsolvewarn990136
Ref: linsolve_params990318
Ref: multiplicities990713
Ref: nroots990931
Ref: nthroot991349
Ref: polyfactor991706
Ref: programmode992062
Ref: realonly992570
Ref: realroots992749
Ref: rhs994980
Ref: rootsconmode996625
Ref: rootscontract996815
Ref: rootsepsilon999571
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Ref: solvedecomposes1007115
Ref: solveexplicit1007303
Ref: solvefactors1007561
Ref: solvenullwarn1007822
Ref: solveradcan1008143
Ref: solvetrigwarn1008410
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Ref: beyer1033941
Ref: allgower1034175
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Node: Introduction to Differential Equations1034727
Node: Functions and Variables for Differential Equations1035354
Ref: bc21035623
Ref: desolve1036247
Ref: ic11038370
Ref: ic21038824
Ref: ode21039464
Ref: method1043529
Ref: %c1043651
Ref: %k11043780
Ref: %k21043918
Ref: yp1044057
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Node: Introduction to fast Fourier transform1044672
Node: Functions and Variables for fast Fourier transform1045257
Ref: polartorect1045520
Ref: recttopolar1046123
Ref: inverse_fft1046806
Ref: fft1049350
Ref: real_fft1053866
Ref: inverse_real_fft1054647
Ref: bf_inverse_fft1055020
Ref: bf_fft1055244
Ref: bf_real_fft1055452
Ref: bf_inverse_real_fft1055646
Node: Functions and Variables for FFTPACK51055839
Ref: fftpack5_fft1056551
Ref: fftpack5_inverse_fft1058849
Ref: fftpack5_real_fft1059019
Ref: fftpack5_inverse_real_fft1059879
Node: Functions for numerical solution of equations1060315
Ref: horner1060623
Ref: find_root1061824
Ref: bf_find_root1061824
Ref: find_root_error1061824
Ref: find_root_abs1061824
Ref: find_root_rel1061824
Ref: newton1066054
Node: Introduction to numerical solution of differential equations1067391
Node: Functions for numerical solution of differential equations1068711
Ref: plotdf1069013
Ref: rk1079572
Node: Matrices and Linear Algebra1083103
Node: Introduction to Matrices and Linear Algebra1083402
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Node: Matrices1085309
Node: Vectors1086810
Node: eigen1087946
Node: Functions and Variables for Matrices and Linear Algebra1088799
Ref: addcol1089093
Ref: addrow1089291
Ref: adjoint1089486
Ref: augcoefmatrix1089637
Ref: cauchy_matrix1090301
Ref: charpoly1091711
Ref: coefmatrix1093344
Ref: col1093771
Ref: columnvector1096186
Ref: covect1096186
Ref: copymatrix1097005
Ref: determinant1097475
Ref: display_determinant_bars1097912
Ref: detout1098423
Ref: diagmatrix1099425
Ref: doallmxops1099926
Ref: domxexpt1100213
Ref: domxmxops1101534
Ref: domxnctimes1101812
Ref: dontfactor1101981
Ref: doscmxops1102424
Ref: doscmxplus1102577
Ref: dot0nscsimp1102791
Ref: dot0simp1103000
Ref: dot1simp1103200
Ref: dotassoc1103398
Ref: dotconstrules1103563
Ref: dotdistrib1103893
Ref: dotexptsimp1104067
Ref: dotident1104231
Ref: dotscrules1104342
Ref: echelon1104568
Ref: eigenvalues1106040
Ref: eivals1106040
Ref: eigenvectors1107809
Ref: eivects1107809
Ref: ematrix1112795
Ref: entermatrix1112970
Ref: genmatrix1114352
Ref: gramschmidt1117147
Ref: ident1119685
Ref: innerproduct1119757
Ref: inprod1119757
Ref: invert_by_adjoint1120240
Ref: invert1120484
Ref: list_matrix_entries1121650
Ref: lmxchar1121878
Ref: display_matrix_brackets1122518
Ref: display_matrix_padding_horizontal1122876
Ref: display_matrix_padding_vertical1124742
Ref: matrix1126154
Ref: matrixexp1132492
Ref: matrixmap1132923
Ref: matrixp1133109
Ref: matrix_element_add1133212
Ref: matrix_element_mult1134536
Ref: matrix_element_transpose1136529
Ref: mattrace1138754
Ref: minor1139043
Ref: ncharpoly1139188
Ref: newdet1140007
Ref: permanent1140182
Ref: rank1140456
Ref: ratmx1140733
Ref: row1141348
Ref: rmxchar1142991
Ref: scalarmatrixp1143241
Ref: scalefactors1143726
Ref: setelmx1144813
Ref: similaritytransform1145050
Ref: simtran1145050
Ref: sparse1146332
Ref: submatrix1146560
Ref: transpose1146874
Ref: triangularize1147280
Ref: uniteigenvectors1148346
Ref: ueivects1148346
Ref: unitvector1149685
Ref: uvect1149685
Ref: vectorpotential1149930
Ref: vectorsimp1150262
Ref: vect_cross1151749
Ref: zeromatrix1151979
Node: Sums Products and Series1152084
Node: Functions and Variables for Sums and Products1152522
Ref: bashindices1152795
Ref: lsum1153240
Ref: intosum1153953
Ref: simpproduct1154476
Ref: product1154902
Ref: simpsum1157468
Ref: sum1157871
Ref: sumcontract1162813
Ref: sumexpand1163414
Node: Introduction to Series1164377
Node: Functions and Variables for Series1164964
Ref: cauchysum1165210
Ref: deftaylor1166515
Ref: maxtayorder1167869
Ref: niceindices1168124
Ref: niceindicespref1169595
Ref: nusum1170653
Ref: pade1172810
Ref: powerseries1175875
Ref: psexpand1178224
Ref: revert1178709
Ref: taylor1180594
Ref: taylordepth1188594
Ref: taylorinfo1188859
Ref: taylorp1189781
Ref: taylor_logexpand1189895
Ref: taylor_order_coefficients1190528
Ref: taylor_simplifier1190826
Ref: taylor_truncate_polynomials1190966
Ref: taytorat1191277
Ref: trunc1191481
Ref: unsum1192054
Ref: verbose1193258
Node: Introduction to Fourier series1193404
Node: Functions and Variables for Fourier series1193900
Ref: equalp1194190
Ref: remfun1194380
Ref: funp1194727
Ref: absint1195085
Ref: fourier1195747
Ref: foursimp1195897
Ref: sinnpiflag1196079
Ref: cosnpiflag1196169
Ref: fourexpand1196259
Ref: fourcos1196514
Ref: foursin1196650
Ref: totalfourier1196784
Ref: fourint1196918
Ref: fourintcos1197078
Ref: forintsin1197213
Node: Functions and Variables for Poisson series1197346
Ref: intopois1197597
Ref: outopois1197670
Ref: poisdiff1198037
Ref: poisexpt1198195
Ref: poisint1198326
Ref: poislim1198511
Ref: poismap1198811
Ref: poisplus1199129
Ref: poissimp1199223
Ref: poisson1199334
Ref: poissubst1199449
Ref: poistimes1200372
Ref: poistrim1200469
Ref: printpois1200856
Node: Number Theory1201047
Node: Functions and Variables for Number Theory1201239
Ref: bern1201447
Ref: bernpoly1202196
Ref: bfzeta1202298
Ref: bfhzeta1202495
Ref: burn1203109
Ref: solve_congruences1204052
Ref: cf1205028
Ref: cfdisrep1208028
Ref: cfexpand1208721
Ref: cflength1209389
Ref: divsum1210016
Ref: euler1210588
Ref: factors_only1211114
Ref: fib1211517
Ref: fibtophi1211854
Ref: ifactors1213058
Ref: igcdex1214302
Ref: inrt1215001
Ref: inv_mod1215291
Ref: isqrt1215699
Ref: jacobi1215822
Ref: lcm1216079
Ref: lucas1216299
Ref: mod1216715
Ref: next_prime1218006
Ref: partfrac1218165
Ref: power_mod1219494
Ref: primep1220047
Ref: primep_number_of_tests1220861
Ref: primes1220988
Ref: prev_time1221166
Ref: qunit1221326
Ref: totient1221750
Ref: zeta1222138
Ref: zeta%pi1223567
Ref: zn_add_table1224206
Ref: zn_characteristic_factors1224357
Ref: zn_carmichael_lambda1227795
Ref: zn_determinant1228022
Ref: zn_factor_generators1229081
Ref: zn_invert_by_lu1229313
Ref: zn_log1230299
Ref: zn_mult_table1233483
Ref: zn_nth_root1238553
Ref: zn_order1243308
Ref: zn_power_table1245560
Ref: zn_primroot1250579
Ref: zn_primroot_limit1253095
Ref: zn_primroot_p1253430
Ref: zn_primroot_pretest1255250
Ref: zn_primroot_verbose1255786
Node: Groups1255962
Node: Functions and Variables for Groups1256130
Ref: todd_coxeter1256303
Node: Miscellaneous Options1258086
Node: Introduction to Miscellaneous Options1258356
Node: Share1258767
Node: Functions and Variables for Miscellaneous Options1259288
Ref: askexp1259520
Ref: genindex1259765
Ref: gensumnum1259939
Ref: gensym1260200
Ref: packagefile1261171
Ref: remvalue1261913
Ref: rncombine1262358
Ref: setup_autoload1263079
Ref: tcl_output1264484
Node: Rules and Patterns1265722
Node: Introduction to Rules and Patterns1265968
Node: Functions and Variables for Rules and Patterns1267067
Ref: apply11267316
Ref: apply21267988
Ref: applyb11268543
Ref: current_let_rule_package1269282
Ref: default_let_rule_package1269889
Ref: defmatch1270189
Ref: defrule1274846
Ref: disprule1275558
Ref: let1276981
Ref: letrat1281407
Ref: letrules1282259
Ref: letsimp1282829
Ref: let_rule_packages1285092
Ref: matchdeclare1285325
Ref: maxapplydepth1293368
Ref: maxapplyheight1293533
Ref: remlet1293702
Ref: remrule1294708
Ref: tellsimp1296778
Ref: tellsimpafter1299256
Ref: clear_rules1308519
Node: Sets1308704
Node: Introduction to Sets1308892
Node: Functions and Variables for Sets1316236
Ref: adjoin1316415
Ref: belln1316920
Ref: cardinality1317927
Ref: cartesian_product1318463
Ref: cartesian_product_list1319230
Ref: disjoin1322982
Ref: disjointp1323684
Ref: divisors1324077
Ref: elementp1325679
Ref: emptyp1326075
Ref: equiv_classes1326396
Ref: every1327785
Ref: extremal_subset1330768
Ref: flatten1331550
Ref: full_listify1334178
Ref: fullsetify1334720
Ref: identity1335329
Ref: integer_partitions1335609
Ref: intersect1337500
Ref: intersection1337613
Ref: listify1339430
Ref: makeset1339851
Ref: moebius1341461
Ref: multinomial_coeff1342687
Ref: num_distinct_partitions1344093
Ref: num_partitions1344970
Ref: partition_set1345905
Ref: permutations1346672
Ref: powerset1347247
Ref: random_permutation1348364
Ref: setdifference1349161
Ref: setequalp1350033
Ref: setify1350689
Ref: setp1351277
Ref: set_partitions1351839
Ref: some1353503
Ref: stirling11356581
Ref: stirling21357919
Ref: subset1359385
Ref: subsetp1360016
Ref: symmdifference1360417
Ref: union1361463
Node: Function Definition1362447
Node: Introduction to Function Definition1362713
Node: Function1362932
Ref: memoizing function1366398
Ref: memoizing functions1366398
Ref: Memoizing function1366398
Ref: Memoizing functions1366398
Node: Macros1369356
Ref: buildq1369516
Ref: macroexpand1373889
Ref: macroexpand11375139
Ref: macros1376301
Ref: splice1376652
Node: Functions and Variables for Function Definition1378350
Ref: apply1378575
Ref: block1382406
Ref: break1385738
Ref: catch1385991
Ref: compfile1387154
Ref: compile1387967
Ref: define1389544
Ref: define_variable1393763
Ref: dispfun1397955
Ref: fullmap1401784
Ref: fullmapl1402465
Ref: functions1402737
Ref: fundef1404606
Ref: funmake1405625
Ref: lambda1408853
Ref: local1414905
Ref: macroexpansion1416307
Ref: mode_declare1422485
Ref: modedeclare1422485
Ref: mode_checkp1426230
Ref: mode_check_errorp1426989
Ref: mode_check_warnp1427143
Ref: mode_identity1427289
Ref: remfunction1428817
Ref: savedef1429600
Ref: translate1430023
Ref: translate_file1432487
Ref: transrun1435082
Ref: tr_array_as_ref1435326
Ref: tr_bound_function_applyp1435794
Ref: tr_file_tty_messagesp1436890
Ref: tr_float_can_branch_complex1437274
Ref: tr_function_call_default1437845
Ref: tr_numer1438587
Ref: tr_optimize_max_loop1438772
Ref: tr_state_vars1439098
Ref: tr_warnings_get1439628
Ref: tr_warn_fexpr1440013
Ref: tr_warn_meval1440260
Ref: tr_warn_mode1440471
Ref: tr_warn_undeclared1440630
Ref: tr_warn_undefined_variable1440790
Ref: compile_file1440935
Ref: declare_translated1442282
Node: Program Flow1442908
Node: Lisp and Maxima1443170
Node: Garbage Collection1447428
Ref: garbage_collect1447966
Node: Introduction to Program Flow1448359
Node: Functions and Variables for Program Flow1448684
Ref: backtrace1448903
Ref: do1450561
Ref: while1450561
Ref: unless1450561
Ref: for1450561
Ref: from1450561
Ref: thru1450561
Ref: step1450561
Ref: next1450561
Ref: in1450561
Ref: errcatch1460018
Ref: error1460578
Ref: warning1461217
Ref: error_size1461529
Ref: error_syms1463095
Ref: errormsg_fn1463760
Ref: errormsg1463925
Ref: go1465150
Ref: if1465698
Ref: map1468456
Ref: mapatom1470309
Ref: maperror1470554
Ref: mapprint1471097
Ref: maplist1471514
Ref: prederror1471978
Ref: return1472496
Ref: scanmap1473734
Ref: throw1475481
Ref: outermap1475672
Node: Debugging1482514
Node: Source Level Debugging1482734
Node: Keyword Commands1486667
Node: Functions and Variables for Debugging1489121
Ref: debugmode1489316
Ref: refcheck1489879
Ref: setcheck1490084
Ref: setcheckbreak1491320
Ref: setval1491832
Ref: timer1492093
Ref: timer_reset1493326
Ref: untimer1493679
Ref: timer_devalue1494303
Ref: timer_info1494743
Ref: trace1495556
Ref: trace_options1496731
Ref: trace_break_arg1502324
Ref: untrace1502712
Node: Error and warning messages1503071
Node: Error Messages1503394
Node: No such list element1504009
Node: argument must be a non-atomic expression1504419
Node: cannot assign to function1505312
Node: 0 to a negative exponent1505689
Node: Comma is not a prefix operator1506003
Node: Illegal use of delimiter1506379
Node: loadfile failed to load1506775
Node: makelist second argument must evaluate to a number1507787
Node: Only symbols can be bound1508311
Node: Operators of arguments must all be the same1508721
Node: out of memory1509565
Node: part fell off the end1510754
Node: undefined variable during plotting1511053
Node: VTK is not installed1512201
Node: Warning Messages1512789
Node: undefined variable during translation1513008
Node: replaced x by y1513658
Node: Package affine1514193
Node: Introduction to Affine1514406
Node: Functions and Variables for Affine1514665
Ref: fast_linsolve1514862
Ref: grobner_basis1515546
Ref: set_up_dot_simplifications1516146
Ref: declare_weights1517068
Ref: nc_degree1517319
Ref: dotsimp1517491
Ref: fast_central_elements1517743
Ref: check_overlaps1518164
Ref: mono1518816
Ref: monomial_dimensions1519062
Ref: extract_linear_equations1519232
Ref: list_nc_monomials1519628
Ref: all_dotsimp_denoms1519926
Node: Package alt-display1520296
Node: Introduction to alt-display1520534
Node: Functions and Variables for alt-display1523351
Ref: alt_display_output_type1523573
Ref: define_alt_display1525335
Ref: info_display1527014
Ref: mathml_display1527335
Ref: tex_display1527697
Ref: multi_display_for_texinfo1527967
Ref: reset_displays1528888
Ref: set_alt_display1529049
Ref: set_prompt1529853
Ref: Functions and Variables for alt-display-Footnote-11532441
Node: Package asympa1532580
Node: Introduction to asympa1532799
Ref: asympa1532995
Node: Functions and variables for asympa1533323
Node: Package atensor1533520
Node: Introduction to atensor1533752
Node: Functions and Variables for atensor1537927
Ref: init_atensor1538129
Ref: atensimp1540785
Ref: alg_type1541209
Ref: adim1541386
Ref: aform1541599
Ref: asymbol1541790
Ref: sf1541876
Ref: af1542171
Ref: av1542472
Ref: abasep1543505
Node: Package augmented_lagrangian1543773
Node: Functions and Variables for augmented_lagrangian1544019
Ref: augmented_lagrangian_method1544278
Node: Package bernstein1547972
Node: Functions and Variables for Bernstein1548185
Ref: bernstein_poly1548389
Ref: bernstein_explicit1550291
Ref: multibernstein_poly1550952
Ref: bernstein_approx1551399
Ref: bernstein_expand1552667
Node: Package bitwise1553174
Node: Functions and Variables for bitwise1553671
Ref: bit_not1553841
Ref: bit_and1554386
Ref: bit_or1555247
Ref: bit_xor1556102
Ref: bit_lsh1556967
Ref: bit_rsh1557739
Ref: bit_length1558519
Ref: bit_onep1559046
Node: Package bode1560632
Node: Functions and Variables for bode1560811
Ref: bode_gain1560990
Ref: bode_phase1562402
Node: Package cartan1564062
Node: Introduction to cartan1564273
Node: Functions and Variables for cartan1564966
Ref: init_cartan1565163
Ref: cartan-~1565846
Ref: cartan-|1566515
Ref: ext_diff1566675
Ref: lie_diff1566813
Node: Package celine1568348
Node: Introduction to celine1568530
Node: Package clebsch_gordan1572367
Node: Functions and Variables for clebsch_gordan1572585
Ref: clebsch_gordan1572814
Ref: racah_v1572949
Ref: racah_w1573108
Ref: wigner_3j1573251
Ref: wigner_6j1573412
Ref: wigner_9j1573508
Node: Package cobyla1573629
Node: Introduction to cobyla1573874
Node: Functions and Variables for cobyla1576558
Ref: fmin_cobyla1576783
Ref: bf_fmin_cobyla1579576
Node: Examples for cobyla1579975
Node: Package colnew1581788
Node: Introduction to colnew1582058
Node: Functions and Variables for colnew1584501
Ref: colnew_expert1584726
Ref: colnew_appsln1593486
Node: Examples for colnew1593972
Node: References for colnew1623622
Ref: gawain-ball1623784
Ref: ascher-1979a1624082
Ref: ascher-1979b1624368
Ref: ascher-1981a1624709
Ref: ascher-1981b1624951
Ref: ascher-russell1625268
Ref: parker-wan1625518
Ref: bader-ascher1625830
Ref: ascher-et-al1626073
Ref: bellon-talon1626336
Node: Package combinatorics1626638
Node: Introduction to combinatorics1626891
Node: Functions and Variables for Combinatorics1628888
Ref: apply_cycles1629120
Ref: cyclep1629873
Ref: perm_cycles1630495
Ref: perm_decomp1630909
Ref: perm_inverse1631348
Ref: perm_length1631796
Ref: perm_lex_next1632265
Ref: perm_lex_rank1632604
Ref: perm_lex_unrank1633024
Ref: perm_next1633403
Ref: perm_parity1633764
Ref: perm_rank1634208
Ref: perm_undecomp1634614
Ref: perm_unrank1634968
Ref: permp1635333
Ref: perms1635779
Ref: perms_lex1637295
Ref: permult1639111
Ref: permute1639384
Ref: random_perm1639993
Node: Package contrib_ode1640260
Node: Introduction to contrib_ode1640609
Node: Functions and Variables for contrib_ode1646456
Ref: contrib_ode1646723
Ref: odelin1646882
Ref: ode_check1647664
Ref: gauss_a1648821
Ref: gauss_b1649521
Ref: dgauss_a1649589
Ref: dgauss_b1649723
Ref: kummer_m1649857
Ref: kummer_u1650321
Ref: dkummer_m1650546
Ref: dkummer_u1650667
Ref: bessel_simplify1650788
Ref: expintegral_e_simplify1652053
Node: Possible improvements to contrib_ode1652368
Node: Test cases for contrib_ode1653516
Node: References for contrib_ode1654300
Node: Package ctensor1655849
Node: Introduction to ctensor1656077
Node: Functions and Variables for ctensor1660649
Ref: csetup1660916
Ref: cmetric1661135
Ref: ct1662114
Ref: init1668419
Ref: christof1669828
Ref: ricci1670775
Ref: uricci1671061
Ref: scurvature1671622
Ref: einstein1671783
Ref: leinstein1672418
Ref: riemann1672838
Ref: lriemann1674145
Ref: uriemann1674640
Ref: rinvariant1674842
Ref: weyl1675093
Ref: ctaylor1676198
Ref: frame1681749
Ref: nptetrad1682359
Ref: psi1683073
Ref: petrov1684391
Ref: contortion1689827
Ref: nonmetricity1689945
Ref: ctransform1690132
Ref: findde1690533
Ref: cograd1692891
Ref: contragrad1693093
Ref: ctensor_dscalar1694231
Ref: checkdiv1695134
Ref: cgeodesic1695589
Ref: bdvac1695898
Ref: invariant11696302
Ref: invariant21696512
Ref: bimetric1696778
Ref: diagmatrixp1697030
Ref: symmetricp1697180
Ref: ntermst1697528
Ref: cdisplay1697898
Ref: deleten1711446
Ref: dim1711635
Ref: diagmetric1711901
Ref: ctrgsimp1712380
Ref: cframe_flag1712581
Ref: ctorsion_flag1713029
Ref: cnonmet_flag1713278
Ref: ctayswitch1713569
Ref: ctayvar1713852
Ref: ctaypov1713977
Ref: ctaypt1714108
Ref: gdet1714250
Ref: ratchristof1714408
Ref: rateinstein1714512
Ref: ratriemann1714770
Ref: ratweyl1715064
Ref: lfg1715341
Ref: ufg1715539
Ref: riem1715694
Ref: lriem1716003
Ref: uriem1716089
Ref: ric1716179
Ref: uric1716258
Ref: lg1716341
Ref: ug1716501
Ref: weyl_variable1716587
Ref: fb1716655
Ref: kinvariant1716743
Ref: np1716833
Ref: npi1716916
Ref: tr1717560
Ref: kt1717666
Ref: nm1717757
Ref: nmc1717845
Ref: tensorkill1717952
Ref: ct_coords1718119
Node: Package descriptive1721556
Node: Introduction to descriptive1721905
Node: Functions and Variables for data manipulation1727075
Ref: build_sample1727374
Ref: continuous_freq1729798
Ref: discrete_freq1733647
Ref: standardize1734999
Ref: subsample1735380
Ref: transform_sample1741520
Node: Functions and Variables for descriptive statistics1743108
Ref: mean1743436
Ref: var1746360
Ref: var11749451
Ref: std1750289
Ref: std11751676
Ref: noncentral_moment1752320
Ref: central_moment1754802
Ref: cv1757457
Ref: smin1758120
Ref: smax1758778
Ref: range1759439
Ref: quantile1759921
Ref: median1760962
Ref: qrange1761709
Ref: mean_deviation1762588
Ref: median_deviation1763550
Ref: harmonic_mean1764466
Ref: geometric_mean1765405
Ref: kurtosis1766338
Ref: skewness1767237
Ref: pearson_skewness1768120
Ref: quartile_skewness1768964
Ref: km1769890
Ref: cdf_empirical1771308
Ref: cov1772302
Ref: cov11774875
Ref: global_variances1776105
Ref: cor1778045
Ref: list_correlations1780335
Ref: principal_components1783606
Node: Functions and Variables for statistical graphs1787896
Ref: barsplot1788162
Ref: barsplot_description1792668
Ref: boxplot1793572
Ref: boxplot_description1797290
Ref: histogram1797477
Ref: histogram_description1802789
Ref: histogram_skyline1803828
Ref: piechart1805378
Ref: piechart_description1807047
Ref: scatterplot1807236
Ref: scatterplot_description1809109
Ref: starplot1809309
Ref: starplot_description1811698
Ref: stemplot1811887
Node: Package diag1812897
Node: Functions and Variables for diag1813081
Ref: diag_function1813260
Ref: JF1814527
Ref: jordan1815347
Ref: dispJordan1817813
Ref: minimalPoly1818993
Ref: ModeMatrix1819753
Ref: mat_function1821515
Node: Package distrib1825626
Node: Introduction to distrib1825912
Node: Functions and Variables for continuous distributions1831960
Node: Normal Random Variable1832891
Ref: pdf_normal1833292
Ref: cdf_normal1833877
Ref: quantile_normal1834737
Ref: mean_normal1835358
Ref: var_normal1835600
Ref: std_normal1835897
Ref: skewness_normal1836183
Ref: kurtosis_normal1836467
Ref: random_normal1836779
Node: Student's t Random Variable1837280
Ref: pdf_student_t1837828
Ref: cdf_student_t1838596
Ref: quantile_student_t1839462
Ref: mean_student_t1839765
Ref: var_student_t1840007
Ref: std_student_t1840490
Ref: skewness_student_t1840868
Ref: kurtosis_student_t1841180
Ref: random_student_t1841563
Node: Noncentral Student's t Random Variable1842397
Ref: pdf_noncentral_student_t1843044
Ref: cdf_noncentral_student_t1846344
Ref: quantile_noncentral_student_t1846805
Ref: mean_noncentral_student_t1847217
Ref: var_noncentral_student_t1848254
Ref: std_noncentral_student_t1848960
Ref: skewness_noncentral_student_t1849666
Ref: kurtosis_noncentral_student_t1851095
Ref: random_noncentral_student_t1852698
Node: Chi-squared Random Variable1853656
Ref: pdf_chi21854135
Ref: cdf_chi21855136
Ref: quantile_chi21855906
Ref: mean_chi21856331
Ref: var_chi21856686
Ref: std_chi21857049
Ref: skewness_chi21857444
Ref: kurtosis_chi21858126
Ref: random_chi21858704
Node: Noncentral Chi-squared Random Variable1859117
Ref: pdf_noncentral_chi21859728
Ref: cdf_noncentral_chi21860627
Ref: quantile_noncentral_chi21860946
Ref: mean_noncentral_chi21861346
Ref: var_noncentral_chi21861613
Ref: std_noncentral_chi21861890
Ref: skewness_noncentral_chi21862192
Ref: kurtosis_noncentral_chi21862605
Ref: random_noncentral_chi21862995
Node: F Random Variable1863419
Ref: pdf_f1863868
Ref: cdf_f1864790
Ref: quantile_f1865591
Ref: mean_f1865939
Ref: var_f1866274
Ref: std_f1866655
Ref: skewness_f1867040
Ref: kurtosis_f1867444
Ref: random_f1867940
Node: Exponential Random Variable1868568
Ref: pdf_exp1869001
Ref: cdf_exp1869512
Ref: quantile_exp1870047
Ref: mean_exp1870664
Ref: var_exp1871204
Ref: std_exp1871846
Ref: skewness_exp1872417
Ref: kurtosis_exp1872821
Ref: random_exp1873225
Node: Lognormal Random Variable1873599
Ref: pdf_lognormal1873955
Ref: cdf_lognormal1874693
Ref: quantile_lognormal1875676
Ref: mean_lognormal1876234
Ref: var_lognormal1876668
Ref: std_lognormal1877031
Ref: skewness_lognormal1877540
Ref: kurtosis_lognormal1877949
Ref: random_lognormal1878370
Node: Gamma Random Variable1878816
Ref: pdf_gamma1879247
Ref: cdf_gamma1879796
Ref: quantile_gamma1880499
Ref: mean_gamma1880797
Ref: var_gamma1881038
Ref: std_gamma1881334
Ref: skewness_gamma1881609
Ref: kurtosis_gamma1881996
Ref: random_gamma1882378
Node: Beta Random Variable1883113
Ref: pdf_beta1883484
Ref: cdf_beta1883990
Ref: quantile_beta1884728
Ref: mean_beta1885024
Ref: var_beta1885363
Ref: std_beta1885707
Ref: skewness_beta1886107
Ref: kurtosis_beta1886478
Ref: random_beta1886946
Node: Continuous Uniform Random Variable1887433
Ref: pdf_continuous_uniform1887803
Ref: cdf_continuous_uniform1888199
Ref: quantile_continuous_uniform1888621
Ref: mean_continuous_uniform1888964
Ref: var_continuous_uniform1889330
Ref: std_continuous_uniform1889763
Ref: skewness_continuous_uniform1890171
Ref: kurtosis_continuous_uniform1890477
Ref: random_continuous_uniform1890756
Node: Logistic Random Variable1891234
Ref: pdf_logistic1891615
Ref: cdf_logistic1892409
Ref: quantile_logistic1892981
Ref: mean_logistic1893289
Ref: var_logistic1893535
Ref: std_logistic1893939
Ref: skewness_logistic1894325
Ref: kurtosis_logistic1894613
Ref: random_logistic1894997
Node: Pareto Random Variable1895394
Ref: pdf_pareto1895633
Ref: cdf_pareto1895995
Ref: quantile_pareto1896373
Ref: mean_pareto1896674
Ref: var_pareto1896886
Ref: std_pareto1897321
Ref: skewness_pareto1897773
Ref: kurtosis_pareto1898167
Ref: random_pareto1898642
Node: Weibull Random Variable1899033
Ref: pdf_weibull1899274
Ref: cdf_weibull1899920
Ref: quantile_weibull1900314
Ref: mean_weibull1900618
Ref: var_weibull1900963
Ref: std_weibull1901342
Ref: skewness_weibull1901740
Ref: kurtosis_weibull1902467
Ref: random_weibull1903181
Node: Rayleigh Random Variable1903574
Ref: pdf_rayleigh1903920
Ref: cdf_rayleigh1904507
Ref: quantile_rayleigh1905104
Ref: mean_rayleigh1905638
Ref: var_rayleigh1906199
Ref: std_rayleigh1907041
Ref: skewness_rayleigh1907834
Ref: kurtosis_rayleigh1908943
Ref: random_rayleigh1910012
Node: Laplace Random Variable1910398
Ref: pdf_laplace1910853
Ref: cdf_laplace1911493
Ref: quantile_laplace1911881
Ref: mean_laplace1912183
Ref: var_laplace1912425
Ref: std_laplace1912723
Ref: skewness_laplace1913001
Ref: kurtosis_laplace1913285
Ref: random_laplace1913569
Node: Cauchy Random Variable1913960
Ref: pdf_cauchy1914567
Ref: cdf_cauchy1914985
Ref: quantile_cauchy1915514
Ref: random_cauchy1915814
Node: Gumbel Random Variable1916201
Ref: pdf_gumbel1916406
Ref: cdf_gumbel1916956
Ref: quantile_gumbel1917383
Ref: mean_gumbel1917683
Ref: var_gumbel1918077
Ref: std_gumbel1918472
Ref: skewness_gumbel1918846
Ref: kurtosis_gumbel1919626
Ref: random_gumbel1920003
Node: Functions and Variables for discrete distributions1920390
Node: General Finite Discrete Random Variable1921007
Ref: pdf_general_finite_discrete1921320
Ref: cdf_general_finite_discrete1922225
Ref: quantile_general_finite_discrete1923115
Ref: mean_general_finite_discrete1923347
Ref: var_general_finite_discrete1923563
Ref: std_general_finite_discrete1923782
Ref: skewness_general_finite_discrete1924011
Ref: kurtosis_general_finite_discrete1924247
Ref: random_general_finite_discrete1924483
Node: Binomial Random Variable1925125
Ref: pdf_binomial1925801
Ref: cdf_binomial1926214
Ref: quantile_binomial1926886
Ref: mean_binomial1927234
Ref: var_binomial1927522
Ref: std_binomial1927820
Ref: skewness_binomial1928141
Ref: kurtosis_binomial1928579
Ref: random_binomial1929017
Node: Poisson Random Variable1929582
Ref: pdf_poisson1930085
Ref: cdf_poisson1930523
Ref: quantile_poisson1930976
Ref: mean_poisson1931273
Ref: var_poisson1931509
Ref: std_poisson1931752
Ref: skewness_poisson1932023
Ref: kurtosis_poisson1932391
Ref: random_poisson1932769
Node: Bernoulli Random Variable1933313
Ref: pdf_bernoulli1933828
Ref: cdf_bernoulli1934344
Ref: quantile_bernoulli1934769
Ref: mean_bernoulli1935084
Ref: var_bernoulli1935465
Ref: std_bernoulli1935860
Ref: skewness_bernoulli1936281
Ref: kurtosis_bernoulli1936921
Ref: random_bernoulli1937563
Node: Geometric Random Variable1938007
Ref: pdf_geometric1938602
Ref: cdf_geometric1939020
Ref: quantile_geometric1939364
Ref: mean_geometric1939826
Ref: var_geometric1940320
Ref: std_geometric1940703
Ref: skewness_geometric1941034
Ref: kurtosis_geometric1941411
Ref: random_geometric1941841
Node: Discrete Uniform Random Variable1942401
Ref: pdf_discrete_uniform1942953
Ref: cdf_discrete_uniform1943386
Ref: quantile_discrete_uniform1943833
Ref: mean_discrete_uniform1944187
Ref: var_discrete_uniform1944569
Ref: std_discrete_uniform1945007
Ref: skewness_discrete_uniform1945476
Ref: kurtosis_discrete_uniform1945797
Ref: random_discrete_uniform1946286
Node: Hypergeometric Random Variable1946772
Ref: pdf_hypergeometric1947390
Ref: cdf_hypergeometric1948158
Ref: quantile_hypergeometric1949002
Ref: mean_hypergeometric1949393
Ref: var_hypergeometric1949847
Ref: std_hypergeometric1950397
Ref: skewness_hypergeometric1951004
Ref: kurtosis_hypergeometric1951689
Ref: random_hypergeometric1952588
Node: Negative Binomial Random Variable1953217
Ref: pdf_negative_binomial1953891
Ref: cdf_negative_binomial1954418
Ref: quantile_negative_binomial1954948
Ref: mean_negative_binomial1955318
Ref: var_negative_binomial1955719
Ref: std_negative_binomial1956173
Ref: skewness_negative_binomial1956607
Ref: kurtosis_negative_binomial1957055
Ref: random_negative_binomial1957543
Node: Package draw1958055
Node: Introduction to draw1958341
Node: Functions and Variables for draw1960821
Ref: gr2d1961082
Ref: gr3d1962421
Ref: draw1963328
Ref: draw2d1965425
Ref: draw3d1965704
Ref: draw_file1965983
Ref: multiplot_mode1966436
Ref: set_draw_defaults1967815
Ref: adapt_depth_draw1968639
Ref: allocation1968895
Ref: axis_3d1970305
Ref: axis_bottom1970819
Ref: axis_left1971292
Ref: axis_right1971727
Ref: axis_top1972165
Ref: background_color1972598
Ref: border1972987
Ref: capping1973625
Ref: cbrange1974256
Ref: cbtics1975199
Ref: color_draw1975912
Ref: colorbox1979749
Ref: columns1980792
Ref: contour1981433
Ref: contour_levels1982587
Ref: data_file_name1984550
Ref: delay1984953
Ref: dimensions_draw1985801
Ref: draw_realpart1987676
Ref: enhanced3d1988375
Ref: error_type1994272
Ref: file_name1994613
Ref: fill_color1995241
Ref: fill_density1995464
Ref: filled_func1995689
Ref: font1997172
Ref: font_size2000466
Ref: gnuplot_file_name2000898
Ref: grid_draw2001672
Ref: head_angle2002428
Ref: head_both2003666
Ref: head_length2004302
Ref: head_type2005014
Ref: interpolate_color2005869
Ref: ip_grid2008713
Ref: ip_grid_in2008916
Ref: key2009129
Ref: key_pos2009930
Ref: label_alignment2011012
Ref: label_orientation2011947
Ref: line_type2012899
Ref: line_width2013927
Ref: logcb2014694
Ref: logx_draw2015439
Ref: logx_secondary2016024
Ref: logy_draw2016920
Ref: logy_secondary2017374
Ref: logz2018235
Ref: palette_draw2019365
Ref: point_size2022650
Ref: point_type_draw2023259
Ref: points_joined2025050
Ref: proportional_axes2026260
Ref: surface_hide2027492
Ref: terminal2028033
Ref: title_draw2031618
Ref: transform2032049
Ref: transparent2033486
Ref: unit_vectors2034043
Ref: user_preamble2034743
Ref: view2035969
Ref: wired_surface2036891
Ref: x_voxel2037386
Ref: xaxis2037648
Ref: xaxis_color2038120
Ref: xaxis_secondary2038624
Ref: xaxis_type2039463
Ref: xaxis_width2039966
Ref: xlabel_draw2040437
Ref: xlabel_secondary2040984
Ref: xrange2041738
Ref: xrange_secondary2042274
Ref: xtics_draw2042793
Ref: xtics_axis2044775
Ref: xtics_rotate2045113
Ref: xtics_rotate_secondary2045383
Ref: xtics_secondary2045683
Ref: xtics_secondary_axis2045898
Ref: xu_grid2046266
Ref: xy_file2046799
Ref: xyplane2047168
Ref: y_voxel2047696
Ref: yaxis2047958
Ref: yaxis_color2048404
Ref: yaxis_secondary2048908
Ref: yaxis_type2049623
Ref: yaxis_width2050127
Ref: ylabel_draw2050598
Ref: ylabel_secondary2051152
Ref: yrange2052001
Ref: yrange_secondary2052601
Ref: ytics_draw2053441
Ref: ytics_axis2053634
Ref: ytics_rotate2053972
Ref: ytics_rotate_secondary2054242
Ref: ytics_secondary2054542
Ref: ytics_secondary_axis2054752
Ref: yv_grid2055120
Ref: z_voxel2055681
Ref: zaxis2055894
Ref: zaxis_color2056453
Ref: zaxis_type2057058
Ref: zaxis_width2057619
Ref: zlabel_draw2058186
Ref: zlabel_rotate2058773
Ref: zrange2059384
Ref: ztics_draw2060011
Ref: ztics_axis2060209
Ref: ztics_rotate2060547
Ref: bars2060866
Ref: cylindrical2061775
Ref: elevation_grid2062535
Ref: ellipse2063591
Ref: errors2064829
Ref: explicit2066293
Ref: image2068362
Ref: implicit2072210
Ref: label_draw2074195
Ref: mesh2075474
Ref: parametric2076938
Ref: parametric_surface2078461
Ref: points2079758
Ref: polar2086183
Ref: polygon2087085
Ref: quadrilateral2088016
Ref: rectangle2089190
Ref: region2090213
Ref: spherical2090992
Ref: triangle2091759
Ref: tube2092759
Ref: vector2093567
Ref: draw_renderer2094936
Node: Functions and Variables for pictures2095472
Ref: get_pixel2095728
Ref: make_level_picture2095896
Ref: make_rgb_picture2097072
Ref: negative_picture2098199
Ref: picture_equalp2098298
Ref: picturep2098416
Ref: read_xpm2098542
Ref: rgb2level2098634
Ref: take_channel2098771
Node: Functions and Variables for worldmap2099699
Ref: boundaries_array2099977
Ref: numbered_boundaries2100336
Ref: make_poly_continent2100871
Ref: make_poly_country2101485
Ref: make_polygon2101848
Ref: region_boundaries2104986
Ref: region_boundaries_plus2105538
Ref: geomap2106177
Node: Package drawdf2112510
Node: Introduction to drawdf2112723
Node: Functions and Variables for drawdf2114648
Ref: drawdf2114880
Node: Package dynamics2123424
Node: The dynamics package2123694
Node: Graphical analysis of discrete dynamical systems2124388
Ref: chaosgame2124658
Ref: evolution2125424
Ref: evolution2d2126170
Ref: ifs2127208
Ref: orbits2128632
Ref: staircase2130060
Node: Visualization with VTK2130930
Ref: scene2131393
Ref: scene_options2133660
Ref: scene_azimuth2133703
Ref: scene_background2134006
Ref: scene_elevation2134255
Ref: scene_height2134589
Ref: scene_restart2134767
Ref: scene_tstep2135020
Ref: scene_width2135224
Ref: scene_windowname2135399
Ref: scene_windowtitle2135704
Ref: scene_objects2135905
Ref: cone2135948
Ref: cube2136829
Ref: cylinder2137170
Ref: sphere2137827
Ref: object_options2137947
Ref: object_animation2138008
Ref: object_capping2138627
Ref: object_center2138885
Ref: object_color2139246
Ref: object_endphi2139463
Ref: object_endtheta2139929
Ref: object_height2140391
Ref: object_linewidth2140556
Ref: object_opacity2140743
Ref: object_orientation2141002
Ref: object_origin2141380
Ref: object_phiresolution2141656
Ref: object_points2141954
Ref: object_pointsize2142169
Ref: object_position2142353
Ref: object_radius2142574
Ref: object_resolution2142802
Ref: object_scale2143005
Ref: object_startphi2143460
Ref: object_starttheta2143927
Ref: object_surface2144390
Ref: object_thetaresolution2144693
Ref: object_track2145005
Ref: object_xlength2145996
Ref: object_ylength2146204
Ref: object_zlength2146412
Ref: object_wireframe2146620
Node: Package engineering-format2146836
Node: Functions and Variables for engineering-format2147231
Ref: engineering_format_floats2147480
Ref: engineering_format_min2148054
Ref: engineering_format_max2148837
Node: Package ezunits2149093
Node: Introduction to ezunits2149359
Node: Introduction to physical_constants2153094
Ref: physical_constants2153337
Node: Functions and Variables for ezunits2158037
Ref: constvalue2169142
Ref: declare_constvalue2170034
Ref: remove_constvalue2170638
Ref: units2170797
Ref: declare_units2172151
Ref: qty2172907
Ref: declare_qty2173882
Ref: unitp2174571
Ref: declare_unit_conversion2175790
Ref: declare_dimensions2177645
Ref: remove_dimensions2178629
Ref: declare_fundamental_dimensions2178802
Ref: declare_fundamental_units2180192
Ref: dimensions2181899
Ref: fundamental_units2183686
Ref: dimensionless2185062
Ref: natural_unit2186166
Node: Package f902186412
Node: Functions for f902186574
Ref: f90_output_line_length_max2186694
Ref: function_f902188327
Node: Package finance2190415
Node: Introduction to finance2190630
Node: Functions and Variables for finance2191243
Ref: days3602191445
Ref: fv2191750
Ref: pv2192105
Ref: graph_flow2192463
Ref: annuity_pv2192848
Ref: annuity_fv2193259
Ref: geo_annuity_pv2193668
Ref: geo_annuity_fv2194135
Ref: amortization2194599
Ref: arit_amortization2195984
Ref: geo_amortization2197684
Ref: saving2199340
Ref: npv2200740
Ref: irr2201059
Ref: benefit_cost2201461
Node: Package format2202089
Node: Introduction to format2202305
Node: Functions and Variables for format2204727
Ref: Template keywords2207733
Node: Package fractals2222641
Node: Introduction to fractals2222961
Node: Definitions for IFS fractals2223587
Ref: sierpinskiale2224307
Ref: treefale2224679
Ref: fernfale2224968
Node: Definitions for complex fractals2225313
Ref: mandelbrot_set2225539
Ref: julia_set2226033
Ref: julia_parameter2226549
Ref: julia_sin2226851
Node: Definitions for Koch snowflakes2227660
Ref: snowmap2227882
Node: Definitions for Peano maps2228644
Ref: hilbertmap2228928
Ref: sierpinskimap2229175
Node: Package gentran2229430
Node: Introduction to Gentran2229717
Node: Functions for Gentran2230273
Node: Gentran Mode Switches2237770
Node: Gentran Option Variables2239782
Node: Gentran Evaluation Forms2247196
Node: Package ggf2250316
Node: Functions and Variables for ggf2250491
Ref: ggf2251797
Node: Package graphs2253869
Node: Introduction to graphs2254080
Node: Functions and Variables for graphs2255203
Ref: create_graph2255447
Ref: copy_graph2257511
Ref: circulant_graph2257581
Ref: clebsch_graph2258162
Ref: complement_graph2258226
Ref: complete_bipartite_graph2258310
Ref: complete_graph2258422
Ref: cycle_digraph2258507
Ref: cycle_graph2258591
Ref: cuboctahedron_graph2258664
Ref: cube_graph2258743
Ref: dodecahedron_graph2258814
Ref: empty_graph2258888
Ref: flower_snark2258967
Ref: from_adjacency_matrix2259216
Ref: frucht_graph2259323
Ref: graph_product2259385
Ref: graph_union2259689
Ref: grid_graph2259783
Ref: great_rhombicosidodecahedron_graph2259851
Ref: great_rhombicuboctahedron_graph2259957
Ref: grotzch_graph2260057
Ref: heawood_graph2260121
Ref: icosahedron_graph2260185
Ref: icosidodecahedron_graph2260257
Ref: induced_subgraph2260341
Ref: line_graph2260840
Ref: make_graph2260918
Ref: mycielski_graph2262146
Ref: new_graph2262236
Ref: path_digraph2262318
Ref: path_graph2262400
Ref: petersen_graph2262471
Ref: random_bipartite_graph2262679
Ref: random_digraph2262843
Ref: random_regular_graph2262986
Ref: random_graph2263205
Ref: random_graph12263338
Ref: random_network2263444
Ref: random_tournament2263968
Ref: random_tree2264057
Ref: small_rhombicosidodecahedron_graph2264134
Ref: small_rhombicuboctahedron_graph2264240
Ref: snub_cube_graph2264340
Ref: snub_dodecahedron_graph2264408
Ref: truncated_cube_graph2264492
Ref: truncated_dodecahedron_graph2264570
Ref: truncated_icosahedron_graph2264664
Ref: truncated_tetrahedron_graph2264756
Ref: tutte_graph2264848
Ref: underlying_graph2264908
Ref: wheel_graph2265007
Ref: adjacency_matrix2265137
Ref: average_degree2265702
Ref: biconnected_components2266031
Ref: bipartition2266586
Ref: chromatic_index2267060
Ref: chromatic_number2267316
Ref: clear_edge_weight2267644
Ref: clear_vertex_label2268084
Ref: connected_components2268565
Ref: diameter2268898
Ref: edge_coloring2269114
Ref: degree_sequence2269869
Ref: edge_connectivity2270128
Ref: edges2270257
Ref: get_edge_weight2270508
Ref: get_vertex_label2271237
Ref: get_unique_vertex_by_label2271723
Ref: get_all_vertices_by_label2272594
Ref: graph_charpoly2273275
Ref: graph_center2273645
Ref: graph_eigenvalues2273886
Ref: graph_periphery2274249
Ref: graph_size2274504
Ref: graph_order2274750
Ref: girth2275001
Ref: hamilton_cycle2275239
Ref: hamilton_path2275679
Ref: isomorphism2276132
Ref: in_neighbors2276636
Ref: is_biconnected2277012
Ref: is_bipartite2277357
Ref: is_connected2277717
Ref: is_digraph2278007
Ref: is_edge_in_graph2278346
Ref: is_graph2278959
Ref: is_graph_or_digraph2279283
Ref: is_isomorphic2279664
Ref: is_planar2280067
Ref: is_sconnected2280601
Ref: is_vertex_in_graph2280978
Ref: is_tree2281378
Ref: laplacian_matrix2281727
Ref: max_clique2282430
Ref: max_degree2282696
Ref: max_flow2283081
Ref: max_independent_set2284114
Ref: max_matching2284529
Ref: min_degree2285002
Ref: min_edge_cut2285386
Ref: min_vertex_cover2285514
Ref: min_vertex_cut2285610
Ref: minimum_spanning_tree2285744
Ref: neighbors2286123
Ref: odd_girth2286399
Ref: out_neighbors2286759
Ref: planar_embedding2287137
Ref: print_graph2287682
Ref: radius2288383
Ref: set_edge_weight2288593
Ref: set_vertex_label2289079
Ref: shortest_path2289849
Ref: shortest_weighted_path2290306
Ref: strong_components2290923
Ref: topological_sort2291290
Ref: vertex_connectivity2291831
Ref: vertex_degree2291964
Ref: vertex_distance2292066
Ref: vertex_eccentricity2292482
Ref: vertex_in_degree2292766
Ref: vertex_out_degree2293329
Ref: vertices2293712
Ref: vertex_coloring2293938
Ref: wiener_index2294424
Ref: add_edge2294669
Ref: add_edges2295068
Ref: add_vertex2295458
Ref: add_vertices2295810
Ref: connect_vertices2296001
Ref: contract_edge2296560
Ref: remove_edge2297351
Ref: remove_vertex2297722
Ref: dimacs_export2297885
Ref: dimacs_import2298143
Ref: graph6_decode2298240
Ref: graph6_encode2298351
Ref: graph6_export2298461
Ref: graph6_import2298595
Ref: sparse6_decode2298703
Ref: sparse6_encode2298821
Ref: sparse6_export2298938
Ref: sparse6_import2299074
Ref: draw_graph2299227
Ref: draw_graph_program2302913
Ref: show_id2303093
Ref: show_label2303209
Ref: label_alignment_graphs2303331
Ref: show_weight2303516
Ref: vertex_type2303637
Ref: vertex_size2303826
Ref: vertex_color2303889
Ref: show_vertices2303971
Ref: show_vertex_type2304096
Ref: show_vertex_size2304293
Ref: show_vertex_color2304380
Ref: vertex_partition2304495
Ref: vertex_coloring_variable2304733
Ref: edge_color2304905
Ref: edge_width2304982
Ref: edge_type2305042
Ref: show_edges2305175
Ref: show_edge_color2305290
Ref: show_edge_width2305397
Ref: show_edge_type2305478
Ref: edge_partition2305632
Ref: edge_coloring_variable2305836
Ref: redraw2305998
Ref: head_angle_graphs2306191
Ref: head_length_graphs2306320
Ref: spring_embedding_depth2306452
Ref: terminal_graphs2306607
Ref: file_name_graphs2306735
Ref: program2306829
Ref: fixed_vertices2307271
Ref: vertices_to_path2307456
Ref: vertices_to_cycle2307598
Node: Package grobner2307742
Node: Introduction to grobner2307963
Node: Functions and Variables for grobner2309757
Ref: poly_add2312654
Ref: poly_subtract2312905
Ref: poly_multiply2313173
Ref: poly_s_polynomial2313420
Ref: poly_primitive_part2313582
Ref: poly_normalize2313828
Ref: poly_expand2314134
Ref: poly_expt2315615
Ref: poly_content2315912
Ref: poly_pseudo_divide2316120
Ref: poly_exact_divide2316744
Ref: poly_normal_form2316964
Ref: poly_buchberger_criterion2317155
Ref: poly_buchberger2317476
Ref: poly_reduction2318179
Ref: poly_minimization2318391
Ref: poly_normalize_list2318689
Ref: poly_grobner2318939
Ref: poly_reduced_grobner2319106
Ref: poly_depends_p2319289
Ref: poly_elimination_ideal2319431
Ref: poly_colon_ideal2319701
Ref: poly_ideal_intersection2319929
Ref: poly_lcm2320092
Ref: poly_gcd2320210
Ref: poly_grobner_equal2320852
Ref: poly_grobner_subsetp2321541
Ref: poly_grobner_member2321834
Ref: poly_ideal_saturation12322306
Ref: poly_ideal_saturation2322667
Ref: poly_ideal_polysaturation12323058
Ref: poly_ideal_polysaturation2323490
Ref: poly_saturation_extension2323804
Ref: poly_polysaturation_extension2323978
Node: Package hompack2324078
Node: Introduction to hompack2324298
Node: Functions and Variables for hompack2324594
Ref: hompack_polsys2324796
Node: Package impdiff2332146
Node: Functions and Variables for impdiff2332339
Ref: implicit_derivative2332533
Node: Package interpol2332992
Node: Introduction to interpol2333217
Node: Functions and Variables for interpol2333639
Ref: lagrange2333846
Ref: charfun22338029
Ref: linearinterpol2339350
Ref: cspline2342027
Ref: ratinterpol2346661
Node: Package itensor2348114
Node: Introduction to itensor2348334
Node: Functions and Variables for itensor2361233
Ref: dispcon2361500
Ref: entertensor2361776
Ref: changename2362097
Ref: listoftens2362482
Ref: ishow2363018
Ref: indices2363361
Ref: rename2364371
Ref: flipflag2367595
Ref: defcon2368220
Ref: remcon2369261
Ref: contract_Itensor2369528
Ref: indexed_tensor2370041
Ref: components2370292
Ref: remcomps2374479
Ref: showcomps2374614
Ref: idummy2377053
Ref: idummyx2377372
Ref: icounter2377507
Ref: kdelta2377756
Ref: kdels2378582
Ref: levi_civita2379445
Ref: lc2kdt2379701
Ref: lc_l2383168
Ref: lc_u2384254
Ref: canten2384560
Ref: concan2385165
Ref: allsym2385313
Ref: decsym2385691
Ref: remsym2388267
Ref: dispsym2388429
Ref: canform2388638
Ref: itensor_diff2389685
Ref: idiff2391102
Ref: liediff2391855
Ref: rediff2392655
Ref: undiff2392784
Ref: evundiff2393283
Ref: flush2395683
Ref: flushd2395843
Ref: flushnd2396001
Ref: coord2396724
Ref: remcoord2397136
Ref: makebox2397441
Ref: conmetderiv2397711
Ref: simpmetderiv2398589
Ref: flush1deriv2401741
Ref: imetric2401963
Ref: idim2402369
Ref: ichr12402543
Ref: ichr22402907
Ref: icurvature2403195
Ref: covdiff2403774
Ref: lorentz2405718
Ref: igeodesic_coords2405918
Ref: iframes2411267
Ref: ifb2411479
Ref: icc12412495
Ref: icc22413136
Ref: ifc12413816
Ref: ifc22414256
Ref: ifr2414663
Ref: ifri2414801
Ref: ifg2414996
Ref: ifgi2415114
Ref: iframe_bracket_form2415233
Ref: inm2415712
Ref: inmc12416057
Ref: inmc22416432
Ref: ikt12416986
Ref: ikt22417432
Ref: itr2417713
Ref: ~2422304
Ref: |2423882
Ref: extdiff2425285
Ref: hodge2426772
Ref: igeowedge_flag2428272
Ref: tentex2429105
Ref: ic_convert2430613
Node: Package lapack2433429
Node: Introduction to lapack2433642
Node: Functions and Variables for lapack2433978
Ref: dgeev2434175
Ref: dgeqrf2437225
Ref: dgesv2439048
Ref: dgesvd2442522
Ref: dlange2447818
Ref: zlange2447818
Ref: dgemm2448856
Ref: zgeev2453993
Ref: zheev2454234
Node: Package lbfgs2458629
Node: Introduction to lbfgs2458836
Node: Functions and Variables for lbfgs2459865
Ref: lbfgs_func2460057
Ref: lbfgs_nfeval_max2474775
Ref: lbfgs_ncorrections2475065
Node: Package levin2475273
Node: Introduction to levin2475531
Node: Functions and Variables for levin2476955
Ref: levin_u_sum2477174
Ref: bflevin_u_sum2478128
Ref: levin_options2478818
Node: Examples for levin2480048
Node: References for levin2485099
Ref: levin-19732485313
Ref: smith-ford-19792486168
Ref: smith-ford-19822486427
Ref: sidi-20032487422
Ref: bender-orszag2487778
Node: Package lindstedt2487950
Node: Functions and Variables for lindstedt2488154
Ref: Lindstedt2488358
Node: Package linearalgebra2489698
Node: Introduction to linearalgebra2489951
Node: Functions and Variables for linearalgebra2494496
Ref: addmatrices2494728
Ref: blockmatrixp2495240
Ref: columnop2495364
Ref: columnswap2495602
Ref: columnspace2495760
Ref: cholesky2496058
Ref: ctranspose2496373
Ref: diag_matrix2496580
Ref: dotproduct2497555
Ref: eigens_by_jacobi2497767
Ref: get_lu_factors2500903
Ref: hankel2501208
Ref: hessian2501497
Ref: hilbert_matrix2502626
Ref: identfor2502764
Ref: invert_by_lu2503344
Ref: jacobian2503513
Ref: kronecker_product2504471
Ref: locate_matrix_entry2504579
Ref: lu_backsub2505531
Ref: lu_factor2509840
Ref: mat_cond2515326
Ref: mat_norm2515853
Ref: linearalgebra_matrixp2516174
Ref: matrix_size2516570
Ref: mat_fullunblocker2516714
Ref: mat_trace2516885
Ref: mat_unblocker2517126
Ref: nullspace2518529
Ref: nullity2518819
Ref: orthogonal_complement2518920
Ref: polytocompanion2519197
Ref: ptringularize2519491
Ref: rowp2519933
Ref: linalg_rank2520163
Ref: rowswap2520664
Ref: toeplitz2520813
Ref: vandermonde_matrix2521647
Ref: zerofor2521807
Ref: zeromatrixp2522354
Node: Package lsquares2522648
Node: Introduction to lsquares2522879
Node: Functions and Variables for lsquares2523229
Ref: lsquares_estimates2523436
Ref: lsquares_estimates_exact2529961
Ref: lsquares_estimates_approximate2532278
Ref: lsquares_mse2535314
Ref: lsquares_residuals2539660
Ref: lsquares_residual_mse2541818
Ref: plsquares2543907
Node: Package minpack2548061
Node: Introduction to minpack2548285
Node: Functions and Variables for minpack2548638
Ref: minpack_lsquares2548840
Ref: minpack_solve2552024
Node: Package makeOrders2554449
Node: Functions and Variables for makeOrders2554653
Ref: makeOrders_func2554862
Node: Package mnewton2555682
Node: Introduction to mnewton2555909
Node: Functions and Variables for mnewton2556224
Ref: newtonepsilon2556426
Ref: newtonmaxiter2556777
Ref: newtondebug2557002
Ref: mnewton2557189
Node: Package numericalio2559741
Ref: numericalio2560053
Node: Introduction to numericalio2560053
Node: Functions and Variables for plain-text input and output2564448
Ref: read_matrix2564778
Ref: read_array2566509
Ref: read_hashed_array2567420
Ref: read_nested_list2568499
Ref: read_list2569464
Ref: write_data2570448
Node: Functions and Variables for binary input and output2571982
Ref: assume_external_byte_order2572268
Ref: openr_binary2572779
Ref: openw_binary2572969
Ref: opena_binary2573181
Ref: read_binary_matrix2573323
Ref: read_binary_array2573747
Ref: read_binary_list2574240
Ref: write_binary_data2574861
Node: Package odepack2575943
Node: Introduction to ODEPACK2576208
Ref: Introduction to ODEPACK-Footnote-12577410
Node: Getting Started with ODEPACK2577465
Node: Functions and Variables for odepack2582158
Ref: dlsode_init2582365
Ref: dlsode_step2584047
Node: Package operatingsystem2587006
Node: Introduction to operatingsystem2587290
Node: Directory operations2587623
Ref: chdir2587820
Ref: mkdir2587880
Ref: rmdir2587937
Ref: getcurrentdirectory2587994
Node: File operations2588288
Ref: copy_file2588466
Ref: rename_file2588546
Ref: delete_file2588629
Node: Environment operations2588692
Ref: getenv2588855
Node: Package opsubst2589104
Node: Functions and Variables for opsubst2589306
Ref: opsubst_func2589500
Node: Package orthopoly2591810
Node: Introduction to orthogonal polynomials2592063
Ref: Floating point Evaluation2602841
Node: Functions and Variables for orthogonal polynomials2610147
Ref: assoc_legendre_p2610411
Ref: assoc_legendre_q2612140
Ref: chebyshev_t2613647
Ref: chebyshev_u2614966
Ref: gen_laguerre2616402
Ref: hermite2618120
Ref: intervalp2619636
Ref: jacobi_p2619753
Ref: laguerre2620777
Ref: legendre_p2622060
Ref: legendre_q2623739
Ref: orthopoly_recur2624970
Ref: orthopoly_weight2626522
Ref: pochhammer2627267
Ref: spherical_bessel_j2629247
Ref: spherical_bessel_y2630994
Ref: spherical_hankel12632744
Ref: spherical_hankel22633079
Ref: spherical_harmonic2633415
Ref: unit_step2636050
Ref: ultraspherical2636316
Node: Package pslq2637685
Node: Introduction to pslq2637896
Node: Functions and Variables for pslq2638377
Ref: guess_exact_value2638564
Node: Package pytranslate2642898
Node: Introduction to pytranslate2643156
Node: Functions in pytranslate2645832
Node: Extending pytranslate2648313
Node: Package quantum_computing2653623
Node: Introduction to quantum_computing2653896
Node: Functions and Variables for Quantum_Computing2654905
Ref: binlist2655157
Ref: binlist2dec2655673
Ref: CNOT2655807
Ref: controlled2656031
Ref: gate2656601
Ref: gate_matrix2657473
Ref: linsert2658077
Ref: lreplace2658298
Ref: normalize2658719
Ref: qdisplay2658832
Ref: qmatrix2659062
Ref: qmeasure2659536
Ref: qubits2660257
Ref: qswap2660565
Ref: Rx2660770
Ref: Ry2660934
Ref: Rz2661098
Ref: tprod2661262
Ref: toffoli2661385
Node: Package ratpow2661634
Node: Functions and Variables for ratpow2662867
Ref: ratp_hipow2663033
Ref: ratp_lopow2663359
Ref: ratp_coeffs2664404
Ref: ratp_dense_coeffs2664787
Node: Package romberg2665143
Node: Functions and Variables for romberg2665334
Ref: romberg_function2665528
Ref: rombergabs2670428
Ref: rombergit2671010
Ref: rombergmin2671466
Ref: rombergtol2671770
Node: Package simplex2672353
Node: Introduction to simplex2672580
Node: Functions and Variables for simplex2674750
Ref: epsilon_lp2674952
Ref: linear_program2675796
Ref: maximize_lp2676907
Ref: minimize_lp2677174
Ref: nonnegative_lp2680653
Ref: scale_lp2680982
Ref: pivot_count_sx2681192
Ref: pivot_max_sx2681335
Node: Package simplification2681458
Node: Introduction to simplification2681780
Node: Package absimp2682177
Node: Package facexp2683258
Ref: facsum2684569
Ref: nextlayerfactor2686534
Ref: facsum_combine2687288
Ref: factorfacsum2688007
Ref: collectterms2688338
Node: Package functs2689625
Ref: rempart2689783
Ref: wronskian2690025
Ref: tracematrix2690707
Ref: nonzeroandfreeof2691192
Ref: gcdivide2692195
Ref: arithmetic2693934
Ref: geometric2694157
Ref: harmonic2694372
Ref: arithsum2694618
Ref: geosum2694780
Ref: gaussprob2695052
Ref: gd2695231
Ref: agd2695381
Ref: vers2695550
Ref: covers2695685
Ref: exsec2695826
Ref: hav2695961
Ref: combination2696096
Ref: permutation2696276
Node: Package ineq2696471
Node: Package rducon2700595
Ref: reduce_consts2700753
Node: Package scifac2702178
Ref: gcfac2702315
Node: Package solve_rec2703310
Node: Introduction to solve_rec2703545
Node: Functions and Variables for solve_rec2704287
Ref: harmonic_number2704499
Ref: harmonic_to_psi2705316
Ref: reduce_order2705676
Ref: simplify_products2707467
Ref: simplify_sum2707681
Ref: solve_rec2708524
Ref: solve_rec_rat2711526
Ref: product_use_gamma2712404
Ref: summand_to_rec2712675
Node: Package stats2713956
Node: Introduction to stats2714272
Node: Functions and Variables for inference_result2715439
Ref: inference_result2715706
Ref: inferencep2717584
Ref: items_inference2717735
Ref: take_inference2718470
Node: Functions and Variables for stats2720344
Ref: stats_numer2720617
Ref: test_mean2720888
Ref: test_means_difference2725393
Ref: test_variance2730388
Ref: test_variance_ratio2733024
Ref: test_proportion2735869
Ref: test_proportions_difference2739494
Ref: test_sign2743299
Ref: test_signed_rank2745301
Ref: test_rank_sum2748465
Ref: test_normality2751278
Ref: linear_regression2752353
Node: Functions and Variables for special distributions2756113
Ref: pdf_signed_rank2756365
Ref: cdf_signed_rank2756605
Ref: pdf_rank_sum2756849
Ref: cdf_rank_sum2757101
Node: Package stirling2757357
Node: Functions and Variables for stirling2757554
Ref: stirling2757753
Node: Package stringproc2760275
Node: Introduction to String Processing2760578
Node: String Input and Output2764033
Ref: close2764907
Ref: flength2765011
Ref: flush_output2765243
Ref: fposition2765402
Ref: freshline2765864
Ref: get_output_stream_string2766274
Ref: make_string_input_stream2766569
Ref: make_string_output_stream2767366
Ref: newline2768068
Ref: opena2768421
Ref: openr2768698
Ref: openw2769572
Ref: printf2769937
Ref: readbyte2775273
Ref: readchar2776177
Ref: readline2776400
Ref: sprint2776619
Ref: writebyte2777421
Node: Characters2778822
Ref: adjust_external_format2779015
Ref: alphacharp2781290
Ref: alphanumericp2782291
Ref: ascii2782519
Ref: cequal2783053
Ref: cequalignore2783170
Ref: cgreaterp2783448
Ref: cgreaterpignore2783598
Ref: charp2783882
Ref: cint2784004
Ref: clessp2784938
Ref: clesspignore2785082
Ref: constituent2785360
Ref: digitcharp2785994
Ref: lowercasep2786152
Ref: newline_variable2786295
Ref: space_variable2786368
Ref: tab_variable2786416
Ref: unicode2786460
Ref: unicode_to_utf82788491
Ref: uppercasep2789050
Ref: us_ascii_only2789194
Ref: utf8_to_unicode2790156
Node: String Processing2790370
Ref: charat2790626
Ref: charlist2790936
Ref: eval_string2791109
Ref: parse_string2791732
Ref: scopy2792377
Ref: sdowncase2792459
Ref: sequal2792687
Ref: sequalignore2792834
Ref: sexplode2793116
Ref: simplode2793213
Ref: sinsert2793921
Ref: sinvertcase2794450
Ref: slength2794904
Ref: smake2794990
Ref: smismatch2795187
Ref: split2795678
Ref: sposition2796492
Ref: sremove2796739
Ref: sremovefirst2797530
Ref: sreverse2797869
Ref: ssearch2798016
Ref: ssort2798696
Ref: ssubst2799418
Ref: ssubstfirst2800364
Ref: strim2800725
Ref: striml2801076
Ref: strimr2801193
Ref: stringp2801311
Ref: substring2801420
Ref: supcase2802017
Ref: tokens2802505
Node: Octets and Utilities for Cryptography2803362
Ref: base642803570
Ref: base64_decode2804561
Ref: crc24sum2805033
Ref: md5sum2806826
Ref: mgf1_sha12808745
Ref: number_to_octets2809695
Ref: octets_to_number2810158
Ref: octets_to_oid2810327
Ref: octets_to_string2810731
Ref: oid_to_octets2812691
Ref: sha1sum2812842
Ref: sha256sum2814080
Ref: string_to_octets2814845
Node: Regular Expressions2815537
Node: Introduction to Regular Expressions2815683
Node: Functions and Variables2816349
Ref: regex_compile2816535
Ref: regex_match_pos2816982
Ref: regex_match2818610
Ref: regex_split2821861
Ref: regex_subst_first2822182
Ref: regex_subst2822932
Ref: string_to_regex2823243
Node: Package sym2823964
Node: Introduction to Symmetries2824187
Node: Functions and Variables for Symmetries2825737
Ref: comp2pui2825992
Ref: ele2pui2826591
Ref: ele2comp2826812
Ref: elem2827033
Ref: mon2schur2828490
Ref: multi2829641
Ref: multi_pui2830375
Ref: pui2830835
Ref: pui2comp2832186
Ref: pui2ele2833457
Ref: puireduc2833863
Ref: schur2comp2834550
Ref: cont2part2835278
Ref: contract2835720
Ref: explose2836565
Ref: part2cont2836829
Ref: partpol2837183
Ref: tcontract2837468
Ref: tpartpol2837685
Ref: direct2837954
Ref: multi_orbit2841685
Ref: multsym2842362
Ref: orbit2843228
Ref: pui_direct2843781
Ref: kostka2846039
Ref: lgtreillis2846285
Ref: ltreillis2846541
Ref: treillis2846827
Ref: treinat2847066
Ref: ele2polynome2847700
Ref: polynome2ele2848533
Ref: prodrac2849130
Ref: pui2polynome2849384
Ref: somrac2850050
Ref: resolvante2850344
Ref: resolvante_alternee12857771
Ref: resolvante_bipartite2858179
Ref: resolvante_diedrale2858774
Ref: resolvante_klein2859500
Ref: resolvante_klein32859861
Ref: resolvante_produit_sym2860222
Ref: resolvante_unitaire2861327
Ref: resolvante_vierer2861686
Ref: multinomial2862088
Ref: permut2862366
Node: Package to_poly_solve2862449
Node: Functions and Variables for to_poly_solve2862663
Ref: complex_number_p2870795
Ref: compose_functions2871727
Ref: dfloat2873763
Ref: elim2874864
Ref: elim_allbut2877556
Ref: eliminate_using2878298
Ref: fourier_elim2879763
Ref: isreal_p2883177
Ref: new_variable2884537
Ref: nicedummies2886301
Ref: real_imagpart_to_conjugate2888448
Ref: rectform_log_if_constant2889209
Ref: simp_inequality2890251
Ref: standardize_inverse_trig2892215
Ref: subst_parallel2892746
Ref: to_poly2894893
Ref: %union2911689
Node: Package trigtools2913573
Node: Introduction to trigtools2913821
Ref: Introduction to trigtools-Footnote-12914748
Node: Functions and Variables for trigtools2914913
Node: Convert to sin and cos2915401
Ref: c2sin2915647
Ref: c2cos2915673
Node: Convert to Trigonometric Functions2918810
Ref: c2trig2919074
Node: Convert to Hyperbolic Functions2921786
Ref: c2hyp2922058
Node: Factor Sums of sin and cos Functions2922795
Ref: trigfactor2923072
Node: Solve Trigonometric Equations2927873
Ref: trigsolve2928142
Node: Evaluation of Trigonometric Functions2937874
Ref: trigvalue2938146
Ref: trigeval2938459
Node: Contract atan Functions2946037
Ref: atan_contract2946243
Node: References2948253
Node: Package unit2948434
Node: Introduction to Units2948645
Node: Functions and Variables for Units2952367
Ref: setunits2952560
Ref: uforget2957490
Ref: convert2958824
Ref: usersetunits2962279
Ref: metricexpandall2970825
Node: Package wrstcse2971965
Node: Introduction to wrstcse2972187
Node: Functions and Variables for wrstcse2975840
Ref: wc_typicalvalues2976044
Ref: wc_inputvalueranges2977038
Ref: wc_systematic2979435
Ref: wc_ewc_simplify2981361
Ref: wc_montecarlo2987646
Ref: wc_mintypmax2988820
Ref: wc_mintypmax_percent2990180
Ref: wc_mintypmax_rss2991521
Ref: wc_mintypmax_rss_percent2993622
Ref: wc_defaultsigma2995013
Ref: wc_defaultvaluespertol2996769
Ref: wc_tolappend2999081
Ref: wc_mintypmax2tol3001144
Ref: wc_inputvalueassumptions3002469
Ref: wc_tolassumptions3004149
Node: Package zeilberger3006095
Node: Introduction to zeilberger3006343
Node: Functions and Variables for zeilberger3008368
Ref: AntiDifference3008587
Ref: Gosper3008772
Ref: GosperSum3009003
Ref: parGosper3010941
Ref: Zeilberger3011270
Node: General global variables3011991
Ref: MAX_ORD3012201
Ref: simplified_output3012341
Ref: linear_solver3012558
Ref: warnings3012751
Ref: Gosper_in_Zeilberger3012942
Ref: trivial_solutions3013226
Node: Variables related to the modular test3013465
Ref: mod_test3013654
Ref: modular_linear_solver3013845
Ref: ev_point3014032
Ref: mod_big_prime3014234
Ref: mod_threshold3014401
Node: Function and Variable Index3014572

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