This is maxima.info, produced by makeinfo version 6.5 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: 1002817
maxima.info-3: 2002047

Tag Table:
(Indirect)
Node: Top264
Node: Introduction to Maxima18605
Node: Bug Detection and Reporting25381
Node: Functions and Variables for Bug Detection and Reporting25623
Ref: bug_report25863
Ref: build_info26290
Ref: run_testsuite28666
Ref: testsuite_files30995
Node: Help31822
Node: Documentation32003
Node: Functions and Variables for Help33230
Ref: apropos33400
Ref: demo35139
Ref: describe36336
Ref: output_format_for_help39364
Ref: browser40131
Ref: url_base41040
Ref: example41935
Ref: manual_demo43320
Node: Command Line43514
Node: Introduction to Command Line43772
Node: Functions and Variables for Command Line44166
Ref: __44427
Ref: _46168
Ref: %47623
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Ref: prompt64976
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Ref: read65983
Ref: readonly66541
Ref: reset67215
Ref: showtime67676
Ref: to_lisp68018
Ref: eval_string_lisp69120
Ref: values69826
Node: Functions and Variables for Display70867
Ref: %edispflag71081
Ref: absboxchar71681
Ref: declare_index_properties72119
Ref: get_index_properties75659
Ref: remove_index_properties75828
Ref: display_index_separator76114
Ref: disp81298
Ref: display81978
Ref: display2d82842
Ref: display_format_internal84539
Ref: with_default_2d_display85229
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Ref: dispterms86449
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Ref: obase99307
Ref: pfeformat100474
Ref: powerdisp101295
Ref: print102092
Ref: sqrtdispflag103439
Ref: stardisp103588
Ref: ttyoff103752
Node: Data Types and Structures104098
Node: Numbers104345
Node: Introduction to Numbers104567
Node: Functions and Variables for Numbers105291
Ref: bfloat105487
Ref: bfloatp107590
Ref: bftorat107694
Ref: bftrunc108801
Ref: bigfloat_bits109084
Ref: bigfloat_eps109572
Ref: decode_float110088
Ref: evenp111605
Ref: float111810
Ref: float2bf112074
Ref: float_bits112288
Ref: float_eps112390
Ref: float_precision112515
Ref: float_sign112962
Ref: float_infinity_p113988
Ref: float_nan_p114921
Ref: floatnump115670
Ref: fpprec115787
Ref: fpprintprec116054
Ref: integerp117084
Ref: integer_decode_float118014
Ref: is_power_of_two120494
Ref: m1pbranch122022
Ref: nonnegintegerp122611
Ref: numberp122716
Ref: numer123879
Ref: numer_pbranch124586
Ref: numerval125712
Ref: oddp126157
Ref: ratepsilon126358
Ref: rationalize126626
Ref: ratnump128099
Ref: scale_float128237
Ref: unit_in_last_place129640
Node: Strings131663
Node: Introduction to Strings131869
Node: Functions and Variables for Strings133964
Ref: concat134160
Ref: sconcat135605
Ref: string136233
Ref: stringdisp136516
Node: Constants137282
Node: Functions and Variables for Constants137464
Ref: %catalan137654
Ref: %e138330
Ref: %i138691
Ref: false138762
Ref: %gamma138907
Ref: ind139502
Ref: inf139699
Ref: infinity139765
Ref: least_negative_float139835
Ref: least_negative_normalized_float140198
Ref: least_positive_float140428
Ref: least_positive_normalized_float140790
Ref: minf141019
Ref: most_negative_float141101
Ref: most_positive_float141233
Ref: %phi141365
Ref: %pi143780
Ref: true143982
Ref: und144122
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Ref: zerob144765
Node: Lists144985
Node: Introduction to Lists145221
Node: Functions and Variables for Lists146078
Ref: [146309
Ref: ]146309
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Ref: assoc148170
Ref: cons149761
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Ref: listarith166459
Ref: lreduce166891
Ref: makelist168228
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Ref: rest173183
Ref: reverse174275
Ref: rreduce174508
Ref: second175956
Ref: seventh176080
Ref: sixth176205
Ref: sort176328
Ref: sublist182212
Ref: sublist_indices182534
Ref: tenth183612
Ref: third183736
Ref: tree_reduce183859
Ref: unique185189
Ref: xreduce185568
Node: Performance considerations for Lists187241
Node: Arrays189496
Ref: hashed array189661
Ref: hashed arrays189661
Ref: undeclared array189661
Ref: undeclared arrays189661
Node: Functions and Variables for Arrays190859
Ref: array191034
Ref: arrayapply191846
Ref: arrayinfo192109
Ref: arraymake196523
Ref: arrays198316
Ref: arraysetapply199445
Ref: fillarray199663
Ref: listarray201838
Ref: make_array205547
Ref: rearray207685
Ref: remarray208055
Ref: subvar208614
Ref: subvarp209338
Ref: use_fast_arrays209453
Ref: translate_fast_arrays210111
Node: Structures210551
Node: Introduction to Structures210753
Node: Functions and Variables for Structures212380
Ref: structures212591
Ref: defstruct212711
Ref: new214268
Node: Expressions216664
Node: Introduction to Expressions216933
Node: Nouns and Verbs218524
Node: Identifiers220895
Node: Inequality223147
Node: Functions and Variables for Expressions223442
Ref: alias223637
Ref: aliases223866
Ref: allbut224111
Ref: args225107
Ref: atom226233
Ref: box226475
Ref: boxchar228600
Ref: collapse228985
Ref: copy229520
Ref: disolate230344
Ref: dispform230840
Ref: dpart232726
Ref: exptisolate233333
Ref: exptsubst233529
Ref: freeof234222
Ref: inflag238046
Ref: inpart238756
Ref: isolate240020
Ref: isolate_wrt_times240879
Ref: listconstvars241653
Ref: listdummyvars242134
Ref: listofvars242837
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Ref: op246351
Ref: operatorp248093
Ref: option_opsubst248510
Ref: optimize249372
Ref: optimprefix249745
Ref: ordergreat249896
Ref: orderless249896
Ref: ordergreatp250690
Ref: orderlessp250690
Ref: part254421
Ref: partition255866
Ref: partswitch256453
Ref: pickapart256667
Ref: piece259642
Ref: psubst259853
Ref: rembox260686
Ref: reveal263177
Ref: sqrtdenest265709
Ref: sublis266571
Ref: sublis_apply_lambda267036
Ref: subnumsimp267306
Ref: subst267891
Ref: substinpart271219
Ref: substpart273630
Ref: symbolp274783
Ref: unorder274909
Ref: verbify276282
Node: Operators276661
Node: Introduction to operators276966
Node: Arithmetic operators281149
Ref: +281329
Ref: -281329
Ref: *281329
Ref: /281329
Ref: ^281329
Ref: **288326
Ref: ^^289099
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Node: Relational operators290273
Ref: <290445
Ref: <=290445
Ref: >=290445
Ref: >290445
Node: Logical operators292963
Ref: and293132
Ref: not294133
Ref: or294677
Node: Operators for Equations295667
Ref: #295848
Ref: =296605
Node: Assignment operators300655
Ref: :300835
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Ref: ::=304372
Ref: :=307313
Node: User defined operators313036
Ref: infix313188
Ref: matchfix317458
Ref: function_nary322107
Ref: nofix322690
Ref: postfix323239
Ref: prefix323710
Node: Evaluation324098
Node: Functions and Variables for Evaluation324269
Ref: quote324460
Ref: quote-quote329072
Ref: ev334545
Ref: eval343223
Ref: evflag343769
Ref: evfun346308
Ref: infeval349205
Ref: noeval349570
Ref: nouns349788
Ref: pred350066
Node: Simplification350421
Node: Introduction to Simplification350650
Node: Functions and Variables for Simplification360669
Ref: additive360896
Ref: antisymmetric361799
Ref: combine362832
Ref: commutative363414
Ref: demoivre364151
Ref: function_distrib364818
Ref: distribute_over365715
Ref: domain367952
Ref: evenfun368123
Ref: oddfun368123
Ref: expand368797
Ref: expandwrt372990
Ref: expandwert_denom373558
Ref: expandwrt_factored373952
Ref: expon374296
Ref: exponentialize374573
Ref: expop375143
Ref: lassociative375573
Ref: linear375809
Ref: maxnegex377469
Ref: maxposex377649
Ref: multiplicative377822
Ref: multthru379705
Ref: property_nary382026
Ref: negdistrib382727
Ref: opproperties383514
Ref: define_opproperty383967
Ref: outative385525
Ref: radcan386773
Ref: radexpand388004
Ref: rassociative388812
Ref: resimplify389040
Ref: scsimp390095
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Ref: symmetric392167
Ref: xthru392397
Node: Elementary Functions393611
Node: Functions for Numbers393961
Ref: abs394132
Ref: ceiling397490
Ref: entier401195
Ref: floor401399
Ref: fix403279
Ref: hstep403340
Ref: lmax403631
Ref: lmin403815
Ref: max403999
Ref: min405736
Ref: round407466
Ref: signum407789
Ref: truncate408538
Node: Functions for Complex Numbers408848
Ref: cabs409067
Ref: carg412917
Ref: conjugate414806
Ref: imagpart415328
Ref: polarform415908
Ref: realpart416570
Ref: rectform417146
Node: Combinatorial Functions417601
Ref: !!417829
Ref: binomial418528
Ref: factcomb419529
Ref: !420443
Ref: factorial420443
Ref: factlim423946
Ref: factorial_expand424134
Ref: genfact424370
Ref: minfactorial424601
Ref: sumsplitfact425144
Node: Root Exponential and Logarithmic Functions426138
Ref: %e_to_numlog426400
Ref: %emode426805
Ref: %enumer428391
Ref: exp429433
Ref: li430367
Ref: log433897
Ref: logabs435314
Ref: logarc436022
Ref: logconcoeffp436247
Ref: logcontract436664
Ref: logexpand437657
Ref: lognegint440761
Ref: logsimp440917
Ref: plog441066
Ref: sqrt441209
Node: Trigonometric Functions441359
Node: Introduction to Trigonometric441662
Node: Functions and Variables for Trigonometric442672
Node: Trigonometric and Hyperbolic Functions443073
Ref: acos443379
Ref: acosh443580
Ref: acot443793
Ref: acoth443997
Ref: acsc444213
Ref: acsch444416
Ref: asec444631
Ref: asech444832
Ref: asin445045
Ref: asinh445244
Ref: atan445455
Ref: atan2445681
Ref: atanh446118
Ref: cos446332
Ref: cosh446528
Ref: cot446736
Ref: coth446935
Ref: csc447146
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Ref: sec447554
Ref: sech447750
Ref: sin447958
Ref: sinh448152
Ref: tan448358
Ref: tanh448555
Node: Options Controlling Simplification448764
Ref: %piargs449062
Ref: %iargs451036
Ref: halfangles452068
Ref: trigsign453934
Node: Explicit Simplifications Using Identities454180
Ref: trigexpand454474
Ref: trigexpandplus455872
Ref: trigexpandtimes456192
Ref: triginverses456522
Ref: trigreduce457009
Ref: trigsimp457635
Ref: trigrat458004
Node: Additional Functions460850
Ref: atrig1461059
Ref: ntrig461448
Node: Random Numbers461726
Ref: make_random_state461870
Ref: set_random_state462629
Ref: random462770
Node: Maxima's Database464411
Node: Introduction to Maxima's Database464729
Node: Functions and Variables for Properties464968
Ref: alphabetic465233
Ref: bindtest465875
Ref: constant466451
Ref: constantp467015
Ref: declare468267
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Ref: decreasing473371
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Ref: even473974
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Ref: printprops480031
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Node: Functions and Variables for Facts485635
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Ref: equal505470
Ref: notequal509674
Ref: unknown510609
Ref: zeroequiv510763
Node: Plotting511931
Node: Introduction to Plotting512237
Node: Plotting Formats515428
Node: Functions and Variables for Plotting519236
Ref: geomview_command519452
Ref: get_plot_option520018
Ref: gnuplot_command520429
Ref: gnuplot_file_args521008
Ref: gnuplot_view_args521622
Ref: julia523068
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Ref: polar_to_xy527028
Ref: plot2d527343
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Ref: spherical_to_xyz542440
Ref: xmaxima_plot_command542886
Node: Plotting Options543446
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Ref: azimuth546160
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Node: Functions and Variables for Fortran Output622671
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Node: Polynomials625893
Node: Introduction to Polynomials626211
Node: Functions and Variables for Polynomials629279
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Ref: gfactor658160
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Ref: savefactors694476
Ref: showratvars694782
Ref: sqfr694945
Ref: totaldisrep697988
Ref: untelltat698407
Node: Introduction to algebraic extensions698511
Node: Functions and Variables for algebraic extensions701971
Ref: algfac702221
Ref: algnorm702868
Ref: algtrace703405
Ref: bdiscr703778
Ref: primelmt704455
Ref: splitfield706821
Node: Special Functions708786
Node: Introduction to Special Functions709233
Node: Bessel Functions711426
Ref: bessel_j711606
Ref: bessel_y712433
Ref: bessel_i713162
Ref: bessel_k714004
Ref: hankel_1714743
Ref: hankel_2716526
Ref: besselexpand717308
Ref: scaled_bessel_i719462
Ref: scaled_bessel_i0719954
Ref: scaled_bessel_i1720035
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Node: Airy Functions721201
Ref: airy_ai722190
Ref: airy_dai722425
Ref: airy_bi722563
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Node: Gamma and Factorial Functions722934
Ref: bffac723303
Ref: bfpsi723803
Ref: cbffac724837
Ref: gamma725161
Ref: gamma_incomplete729410
Ref: gamma_incomplete_regularized730192
Ref: gamma_incomplete_generalized730779
Ref: gamma_expand731456
Ref: gammalim733121
Ref: makegamma733521
Ref: beta734216
Ref: beta_incomplete_regularized744836
Ref: beta_expand754722
Ref: polygamma755198
Ref: maxpsiposint757062
Ref: maxpsinegint757899
Ref: maxpsifracnum759314
Ref: maxpsifracdenom760378
Ref: makefact761452
Node: Exponential Integrals762674
Ref: expintegral_e1763057
Ref: expintegral_e764204
Ref: expintegral_si764587
Ref: expintegral_ci764926
Ref: expintegral_shi765320
Ref: expintegral_chi765664
Ref: expintrep766061
Ref: expintexpand776459
Node: Error Function777583
Ref: erf777971
Ref: erfc778365
Ref: erfi778710
Ref: erf_generalized778796
Ref: fresnel_c779057
Ref: fresnel_s779580
Ref: erf_representation780098
Ref: hypergeometric_representation784431
Node: Struve Functions787177
Ref: struve_h787811
Ref: struve_l788316
Node: Hypergeometric Functions788776
Ref: hgfred793252
Node: Parabolic Cylinder Functions795443
Ref: parabolic_cylinder_d795965
Node: Functions and Variables for Special Functions796522
Ref: kbateman797330
Node: Elliptic Functions797923
Node: Introduction to Elliptic Functions and Integrals798232
Node: Functions and Variables for Elliptic Functions802547
Ref: jacobi_sn803007
Ref: jacobi_cn803088
Ref: jacobi_dn803169
Ref: jacobi_ns803250
Ref: jacobi_sc803343
Ref: jacobi_sd803442
Ref: jacobi_nc803541
Ref: jacobi_cs803634
Ref: jacobi_cd803733
Ref: jacobi_nd803832
Ref: jacobi_ds803925
Ref: jacobi_dc804024
Ref: jacobi_am804123
Ref: inverse_jacobi_dn805505
Ref: inverse_jacobi_ns806118
Ref: inverse_jacobi_sc806727
Ref: inverse_jacobi_sd807333
Ref: inverse_jacobi_nc807951
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Ref: inverse_jacobi_cd809150
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Ref: inverse_jacobi_ds810380
Ref: inverse_jacobi_dc810988
Node: Functions and Variables for Elliptic Integrals811592
Ref: elliptic_f811853
Ref: elliptic_e812070
Ref: elliptic_eu812307
Ref: elliptic_pi812680
Ref: elliptic_kc812859
Ref: elliptic_ec813145
Ref: carlson_rc813430
Ref: carlson_rd814321
Ref: carlson_rf814951
Ref: carlson_rj815553
Node: Limits816738
Node: Functions and Variables for Limits816905
Ref: lhospitallim817078
Ref: limit817312
Ref: limsubst819357
Ref: tlimit819624
Ref: tlimswitch819860
Ref: gruntz820325
Node: Differentiation821680
Node: Functions and Variables for Differentiation821867
Ref: antid822085
Ref: antidiff824487
Ref: at826723
Ref: atomgrad829793
Ref: atvalue829929
Ref: del832520
Ref: delta833256
Ref: dependencies833611
Ref: depends835266
Ref: derivabbrev837898
Ref: derivdegree838151
Ref: derivlist838767
Ref: derivsubst838922
Ref: diff839126
Ref: symbol_diff842477
Ref: express842627
Ref: gradef845340
Ref: gradefs847340
Node: Integration847619
Node: Introduction to Integration847899
Node: Functions and Variables for Integration848883
Ref: changevar849130
Ref: dblint851434
Ref: defint853907
Ref: erfflag854458
Ref: ilt854676
Ref: intanalysis856977
Ref: integrate858091
Ref: integration_constant866529
Ref: integration_constant_counter867393
Ref: integrate_use_rootsof868743
Ref: laplace870964
Ref: ldefint875091
Ref: pwilt875808
Ref: potential876730
Ref: prefer_d877278
Ref: residue878266
Ref: risch878943
Ref: specint879958
Ref: tldefint884342
Node: Introduction to QUADPACK884453
Ref: Introduction to QUADPACK-Footnote-1888166
Ref: Introduction to QUADPACK-Footnote-2888232
Ref: Introduction to QUADPACK-Footnote-3888298
Ref: Introduction to QUADPACK-Footnote-4888342
Ref: Introduction to QUADPACK-Footnote-5888404
Ref: Introduction to QUADPACK-Footnote-6888444
Ref: Introduction to QUADPACK-Footnote-7888486
Node: Functions and Variables for QUADPACK888671
Ref: quad_qag888873
Ref: quad_qags891616
Ref: quad_qagi893781
Ref: quad_qawc896248
Ref: quad_qawf899621
Ref: quad_qawo902266
Ref: quad_qaws905189
Ref: quad_qagp907916
Ref: quad_control910708
Node: Equations911310
Node: Functions and Variables for Equations911542
Ref: %rnum911730
Ref: %rnum_list911970
Ref: algepsilon913016
Ref: algexact913114
Ref: algsys913695
Ref: allroots918483
Ref: bfallroots920850
Ref: backsubst921253
Ref: breakup921971
Ref: dimension925245
Ref: dispflag925493
Ref: funcsolve925788
Ref: globalsolve926730
Ref: ieqn928352
Ref: ieqnprint932324
Ref: lhs933000
Ref: linsolve934631
Ref: linsolvewarn937766
Ref: linsolve_params937932
Ref: multiplicities938299
Ref: nroots938501
Ref: nthroot938903
Ref: polyfactor939244
Ref: programmode939576
Ref: realonly940024
Ref: realroots940183
Ref: rhs942334
Ref: rootsconmode943959
Ref: rootscontract944133
Ref: rootsepsilon946805
Ref: solve947001
Ref: solvedecomposes954205
Ref: solveexplicit954373
Ref: solvefactors954607
Ref: solvenullwarn954848
Ref: solveradcan955145
Ref: solvetrigwarn955388
Node: Examples for algsys955636
Node: References for equations980464
Ref: beyer980628
Ref: allgower980860
Node: Differential Equations981153
Node: Introduction to Differential Equations981412
Node: Functions and Variables for Differential Equations982031
Ref: bc2982300
Ref: desolve982908
Ref: ic1984999
Ref: ic2985437
Ref: ode2986057
Ref: method990299
Ref: %c990413
Ref: %k1990534
Ref: %k2990664
Ref: yp990795
Node: Numerical990932
Node: Introduction to fast Fourier transform991402
Node: Functions and Variables for fast Fourier transform991979
Ref: polartorect992242
Ref: recttopolar992848
Ref: inverse_fft993526
Ref: fft996112
Ref: real_fft1000644
Ref: inverse_real_fft1001389
Ref: bf_inverse_fft1001750
Ref: bf_fft1001970
Ref: bf_real_fft1002174
Ref: bf_inverse_real_fft1002364
Node: Functions and Variables for FFTPACK51002817
Ref: fftpack5_fft1003517
Ref: fftpack5_inverse_fft1005803
Ref: fftpack5_real_fft1005969
Ref: fftpack5_inverse_real_fft1006821
Node: Functions for numerical solution of equations1007253
Ref: horner1007561
Ref: find_root1008693
Ref: bf_find_root1008693
Ref: find_root_error1008693
Ref: find_root_abs1008693
Ref: find_root_rel1008693
Ref: newton1012733
Node: Introduction to numerical solution of differential equations1014022
Node: Functions for numerical solution of differential equations1015339
Ref: plotdf1015641
Ref: rk1025983
Node: Matrices and Linear Algebra1029493
Node: Introduction to Matrices and Linear Algebra1029782
Node: Dot1030141
Node: Matrices1031545
Node: Vectors1033042
Node: eigen1034130
Node: Functions and Variables for Matrices and Linear Algebra1034923
Ref: addcol1035217
Ref: addrow1035407
Ref: adjoint1035594
Ref: augcoefmatrix1035745
Ref: cauchy_matrix1036409
Ref: charpoly1037811
Ref: coefmatrix1039441
Ref: col1039889
Ref: columnvector1042284
Ref: covect1042284
Ref: copymatrix1043232
Ref: determinant1043678
Ref: detout1044025
Ref: diagmatrix1044999
Ref: doallmxops1045488
Ref: domxexpt1045755
Ref: domxmxops1047036
Ref: domxnctimes1047298
Ref: dontfactor1047455
Ref: doscmxops1047886
Ref: doscmxplus1048027
Ref: dot0nscsimp1048225
Ref: dot0simp1048422
Ref: dot1simp1048610
Ref: dotassoc1048796
Ref: dotconstrules1048941
Ref: dotdistrib1049247
Ref: dotexptsimp1049401
Ref: dotident1049545
Ref: dotscrules1049648
Ref: echelon1049842
Ref: eigenvalues1051302
Ref: eivals1051302
Ref: eigenvectors1052999
Ref: eivects1052999
Ref: ematrix1057857
Ref: entermatrix1058028
Ref: genmatrix1059398
Ref: gramschmidt1062149
Ref: ident1064667
Ref: innerproduct1064739
Ref: inprod1064739
Ref: invert_by_adjoint1065202
Ref: invert1065430
Ref: list_matrix_entries1066532
Ref: lmxchar1066760
Ref: matrix1067376
Ref: matrixexp1073400
Ref: matrixmap1073823
Ref: matrixp1073985
Ref: matrix_element_add1074080
Ref: matrix_element_mult1075384
Ref: matrix_element_transpose1077354
Ref: mattrace1079546
Ref: minor1079819
Ref: ncharpoly1079964
Ref: newdet1080759
Ref: permanent1080930
Ref: rank1081196
Ref: ratmx1081473
Ref: row1082064
Ref: rmxchar1083687
Ref: scalarmatrixp1083913
Ref: scalefactors1084370
Ref: setelmx1085421
Ref: similaritytransform1085654
Ref: simtran1085654
Ref: sparse1086840
Ref: submatrix1087044
Ref: transpose1087358
Ref: triangularize1087748
Ref: uniteigenvectors1088798
Ref: ueivects1088798
Ref: unitvector1090081
Ref: uvect1090081
Ref: vectorpotential1090314
Ref: vectorsimp1090638
Ref: vect_cross1091969
Ref: zeromatrix1092183
Node: Package affine1092288
Node: Introduction to Affine1092515
Node: Functions and Variables for Affine1092770
Ref: fast_linsolve1092967
Ref: grobner_basis1093631
Ref: set_up_dot_simplifications1094219
Ref: declare_weights1095121
Ref: nc_degree1095364
Ref: dotsimp1095528
Ref: fast_central_elements1095776
Ref: check_overlaps1096189
Ref: mono1096817
Ref: monomial_dimensions1097059
Ref: extract_linear_equations1097225
Ref: list_nc_monomials1097613
Ref: all_dotsimp_denoms1097907
Node: Package itensor1098249
Node: Introduction to itensor1098468
Node: Functions and Variables for itensor1111203
Ref: dispcon1111470
Ref: entertensor1111738
Ref: changename1112055
Ref: listoftens1112436
Ref: ishow1112972
Ref: indices1113315
Ref: rename1114321
Ref: flipflag1117505
Ref: defcon1118090
Ref: remcon1119103
Ref: contract_Itensor1119366
Ref: indexed_tensor1119859
Ref: components1120094
Ref: remcomps1124221
Ref: showcomps1124352
Ref: idummy1126779
Ref: idummyx1127086
Ref: icounter1127213
Ref: kdelta1127450
Ref: kdels1128248
Ref: levi_civita1129111
Ref: lc2kdt1129367
Ref: lc_l1132814
Ref: lc_u1133888
Ref: canten1134178
Ref: concan1134755
Ref: allsym1134899
Ref: decsym1135257
Ref: remsym1137793
Ref: dispsym1137955
Ref: canform1138160
Ref: itensor_diff1139171
Ref: idiff1140560
Ref: liediff1141273
Ref: rediff1142073
Ref: undiff1142198
Ref: evundiff1142689
Ref: flush1145065
Ref: flushd1145225
Ref: flushnd1145383
Ref: coord1146106
Ref: remcoord1146502
Ref: makebox1146795
Ref: conmetderiv1147053
Ref: simpmetderiv1147927
Ref: flush1deriv1151047
Ref: imetric1151261
Ref: idim1151651
Ref: ichr11151825
Ref: ichr21152181
Ref: icurvature1152469
Ref: covdiff1153044
Ref: lorentz1154980
Ref: igeodesic_coords1155180
Ref: iframes1160405
Ref: ifb1160605
Ref: icc11161609
Ref: icc21162210
Ref: ifc11162850
Ref: ifc21163290
Ref: ifr1163693
Ref: ifri1163823
Ref: ifg1164018
Ref: ifgi1164128
Ref: iframe_bracket_form1164239
Ref: inm1164698
Ref: inmc11165035
Ref: inmc21165402
Ref: ikt11165940
Ref: ikt21166378
Ref: itr1166651
Ref: ~1171222
Ref: |1172788
Ref: extdiff1174175
Ref: hodge1175658
Ref: igeowedge_flag1177158
Ref: tentex1177963
Ref: ic_convert1179443
Node: Package ctensor1182199
Node: Introduction to ctensor1182419
Node: Functions and Variables for ctensor1186836
Ref: csetup1187103
Ref: cmetric1187314
Ref: ct1188237
Ref: init1194462
Ref: christof1195831
Ref: ricci1196726
Ref: uricci1196996
Ref: scurvature1197529
Ref: einstein1197690
Ref: leinstein1198285
Ref: riemann1198689
Ref: lriemann1199940
Ref: uriemann1200411
Ref: rinvariant1200605
Ref: weyl1200852
Ref: ctaylor1201909
Ref: frame1207424
Ref: nptetrad1208022
Ref: psi1208724
Ref: petrov1210002
Ref: contortion1215354
Ref: nonmetricity1215472
Ref: ctransform1215659
Ref: findde1216052
Ref: cograd1218398
Ref: contragrad1218596
Ref: ctensor_dscalar1219734
Ref: checkdiv1220637
Ref: cgeodesic1221080
Ref: bdvac1221373
Ref: invariant11221769
Ref: invariant21221975
Ref: bimetric1222233
Ref: diagmatrixp1222481
Ref: symmetricp1222627
Ref: ntermst1222963
Ref: cdisplay1223333
Ref: deleten1236877
Ref: dim1237062
Ref: diagmetric1237312
Ref: ctrgsimp1237771
Ref: cframe_flag1237968
Ref: ctorsion_flag1238400
Ref: cnonmet_flag1238641
Ref: ctayswitch1238924
Ref: ctayvar1239179
Ref: ctaypov1239296
Ref: ctaypt1239419
Ref: gdet1239553
Ref: ratchristof1239695
Ref: rateinstein1239795
Ref: ratriemann1240037
Ref: ratweyl1240315
Ref: lfg1240572
Ref: ufg1240762
Ref: riem1240901
Ref: lriem1241186
Ref: uriem1241268
Ref: ric1241354
Ref: uric1241429
Ref: lg1241508
Ref: ug1241660
Ref: weyl_variable1241742
Ref: fb1241806
Ref: kinvariant1241890
Ref: np1241976
Ref: npi1242055
Ref: tr1242687
Ref: kt1242789
Ref: nm1242872
Ref: nmc1242956
Ref: tensorkill1243055
Ref: ct_coords1243214
Node: Package atensor1246619
Node: Introduction to atensor1246848
Node: Functions and Variables for atensor1250792
Ref: init_atensor1250994
Ref: atensimp1253498
Ref: alg_type1253906
Ref: adim1254059
Ref: aform1254260
Ref: asymbol1254431
Ref: sf1254513
Ref: af1254800
Ref: av1255093
Ref: abasep1256118
Node: Sums Products and Series1256374
Node: Functions and Variables for Sums and Products1256800
Ref: bashindices1257073
Ref: lsum1257502
Ref: intosum1258189
Ref: simpproduct1258696
Ref: product1259094
Ref: simpsum1261624
Ref: sum1261999
Ref: sumcontract1266855
Ref: sumexpand1267444
Node: Introduction to Series1268391
Node: Functions and Variables for Series1268966
Ref: cauchysum1269212
Ref: deftaylor1270493
Ref: maxtayorder1271823
Ref: niceindices1272062
Ref: niceindicespref1273493
Ref: nusum1274535
Ref: pade1276683
Ref: powerseries1279761
Ref: psexpand1281679
Ref: revert1282132
Ref: taylor1284005
Ref: taylordepth1291946
Ref: taylorinfo1292199
Ref: taylorp1293093
Ref: taylor_logexpand1293199
Ref: taylor_order_coefficients1293804
Ref: taylor_simplifier1294086
Ref: taylor_truncate_polynomials1294222
Ref: taytorat1294517
Ref: trunc1294713
Ref: unsum1295286
Ref: verbose1296494
Node: Introduction to Fourier series1296624
Node: Functions and Variables for Fourier series1297112
Ref: equalp1297402
Ref: remfun1297576
Ref: funp1297907
Ref: absint1298249
Ref: fourier1298871
Ref: foursimp1299013
Ref: sinnpiflag1299167
Ref: cosnpiflag1299249
Ref: fourexpand1299331
Ref: fourcos1299578
Ref: foursin1299706
Ref: totalfourier1299832
Ref: fourint1299962
Ref: fourintcos1300114
Ref: forintsin1300241
Node: Functions and Variables for Poisson series1300366
Ref: intopois1300617
Ref: outopois1300690
Ref: poisdiff1301049
Ref: poisexpt1301207
Ref: poisint1301334
Ref: poislim1301515
Ref: poismap1301811
Ref: poisplus1302129
Ref: poissimp1302219
Ref: poisson1302330
Ref: poissubst1302441
Ref: poistimes1303336
Ref: poistrim1303429
Ref: printpois1303808
Node: Number Theory1303995
Node: Functions and Variables for Number Theory1304192
Ref: bern1304400
Ref: bernpoly1305158
Ref: bfzeta1305260
Ref: bfhzeta1305457
Ref: burn1306067
Ref: solve_congruences1306970
Ref: cf1307966
Ref: cfdisrep1310858
Ref: cfexpand1311543
Ref: cflength1312184
Ref: divsum1312799
Ref: euler1313363
Ref: factors_only1313886
Ref: fib1314257
Ref: fibtophi1314584
Ref: ifactors1315780
Ref: igcdex1316990
Ref: inrt1317670
Ref: inv_mod1317960
Ref: isqrt1318363
Ref: jacobi1318486
Ref: lcm1318743
Ref: lucas1318959
Ref: mod1319355
Ref: next_prime1320590
Ref: partfrac1320746
Ref: power_mod1322059
Ref: primep1322600
Ref: primep_number_of_tests1323382
Ref: primes1323505
Ref: prev_time1323681
Ref: qunit1323838
Ref: totient1324254
Ref: zeta1324614
Ref: zeta%pi1326000
Ref: zn_add_table1326603
Ref: zn_characteristic_factors1326746
Ref: zn_carmichael_lambda1330263
Ref: zn_determinant1330478
Ref: zn_factor_generators1331569
Ref: zn_invert_by_lu1331797
Ref: zn_log1332811
Ref: zn_mult_table1335983
Ref: zn_nth_root1341390
Ref: zn_order1346141
Ref: zn_power_table1348352
Ref: zn_primroot1353163
Ref: zn_primroot_limit1355623
Ref: zn_primroot_p1355934
Ref: zn_primroot_pretest1357732
Ref: zn_primroot_verbose1358220
Node: Package sym1358384
Node: Introduction to Symmetries1358587
Node: Functions and Variables for Symmetries1360133
Ref: comp2pui1360388
Ref: ele2pui1360987
Ref: ele2comp1361196
Ref: elem1361405
Ref: mon2schur1362842
Ref: multi1363981
Ref: multi_pui1364711
Ref: pui1365159
Ref: pui2comp1366490
Ref: pui2ele1367749
Ref: puireduc1368139
Ref: schur2comp1368822
Ref: cont2part1369542
Ref: contract1369984
Ref: explose1370821
Ref: part2cont1371085
Ref: partpol1371439
Ref: tcontract1371724
Ref: tpartpol1371937
Ref: direct1372202
Ref: multi_orbit1375873
Ref: multsym1376546
Ref: orbit1377364
Ref: pui_direct1377913
Ref: kostka1380147
Ref: lgtreillis1380393
Ref: ltreillis1380637
Ref: treillis1380911
Ref: treinat1381138
Ref: ele2polynome1381760
Ref: polynome2ele1382577
Ref: prodrac1383166
Ref: pui2polynome1383412
Ref: somrac1384070
Ref: resolvante1384360
Ref: resolvante_alternee11391711
Ref: resolvante_bipartite1392083
Ref: resolvante_diedrale1392642
Ref: resolvante_klein1393332
Ref: resolvante_klein31393657
Ref: resolvante_produit_sym1393982
Ref: resolvante_unitaire1395055
Ref: resolvante_vierer1395378
Ref: multinomial1395744
Ref: permut1396018
Node: Groups1396101
Node: Functions and Variables for Groups1396265
Ref: todd_coxeter1396438
Node: Runtime Environment1398223
Node: Introduction for Runtime Environment1398492
Node: Interrupts1401326
Node: Functions and Variables for Runtime Environment1402441
Ref: maxima_tempdir1402670
Ref: maxima_userdir1403125
Ref: room1403822
Ref: sstatus1404223
Ref: status1404681
Ref: system1405686
Ref: time1408873
Ref: timedate1409357
Ref: parse_timedate1411286
Ref: encode_time1414918
Ref: decode_time1417434
Ref: absolute_real_time1419176
Ref: elapsed_real_time1419606
Ref: elapsed_run_time1420105
Node: Miscellaneous Options1420657
Node: Introduction to Miscellaneous Options1420940
Node: Share1421351
Node: Functions and Variables for Miscellaneous Options1421860
Ref: askexp1422092
Ref: genindex1422321
Ref: gensumnum1422487
Ref: gensym1422736
Ref: packagefile1423703
Ref: remvalue1424417
Ref: rncombine1424850
Ref: setup_autoload1425547
Ref: tcl_output1426936
Node: Rules and Patterns1428146
Node: Introduction to Rules and Patterns1428392
Node: Functions and Variables for Rules and Patterns1429423
Ref: apply11429672
Ref: apply21430320
Ref: applyb11430855
Ref: current_let_rule_package1431566
Ref: default_let_rule_package1432141
Ref: defmatch1432425
Ref: defrule1436958
Ref: disprule1437654
Ref: let1439037
Ref: letrat1443299
Ref: letrules1444127
Ref: letsimp1444665
Ref: let_rule_packages1446934
Ref: matchdeclare1447155
Ref: maxapplydepth1455033
Ref: maxapplyheight1455186
Ref: remlet1455347
Ref: remrule1456309
Ref: tellsimp1458347
Ref: tellsimpafter1460779
Ref: clear_rules1469982
Node: Sets1470151
Node: Introduction to Sets1470339
Node: Functions and Variables for Sets1477512
Ref: adjoin1477691
Ref: belln1478168
Ref: cardinality1479151
Ref: cartesian_product1479683
Ref: cartesian_product_list1480438
Ref: disjoin1484118
Ref: disjointp1484800
Ref: divisors1485185
Ref: elementp1486759
Ref: emptyp1487147
Ref: equiv_classes1487464
Ref: every1488809
Ref: extremal_subset1491624
Ref: flatten1492398
Ref: full_listify1494981
Ref: fullsetify1495511
Ref: identity1496100
Ref: integer_partitions1496376
Ref: intersect1498255
Ref: intersection1498360
Ref: listify1500192
Ref: makeset1500605
Ref: moebius1502211
Ref: multinomial_coeff1503429
Ref: num_distinct_partitions1504724
Ref: num_partitions1505594
Ref: partition_set1506510
Ref: permutations1507253
Ref: powerset1507820
Ref: random_permutation1508917
Ref: setdifference1509714
Ref: setequalp1510582
Ref: setify1511206
Ref: setp1511786
Ref: set_partitions1512328
Ref: some1513964
Ref: stirling11516890
Ref: stirling21518216
Ref: subset1519666
Ref: subsetp1520273
Ref: symmdifference1520666
Ref: union1521701
Node: Function Definition1522677
Node: Introduction to Function Definition1522943
Node: Function1523162
Ref: memoizing function1526532
Ref: memoizing functions1526532
Ref: Memoizing function1526532
Ref: Memoizing functions1526532
Node: Macros1529414
Ref: buildq1529574
Ref: macroexpand1533871
Ref: macroexpand11535097
Ref: macros1536235
Ref: splice1536558
Node: Functions and Variables for Function Definition1538188
Ref: apply1538413
Ref: block1542170
Ref: break1545362
Ref: catch1545611
Ref: compfile1546718
Ref: compile1547499
Ref: define1549036
Ref: define_variable1553151
Ref: dispfun1557340
Ref: fullmap1561089
Ref: fullmapl1561750
Ref: functions1562014
Ref: fundef1563835
Ref: funmake1564786
Ref: lambda1567954
Ref: local1573890
Ref: macroexpansion1575220
Ref: mode_declare1581350
Ref: modedeclare1581350
Ref: mode_checkp1585003
Ref: mode_check_errorp1586100
Ref: mode_check_warnp1586238
Ref: mode_identity1586372
Ref: remfunction1587860
Ref: savedef1588603
Ref: translate1588998
Ref: translate_file1591374
Ref: transrun1593833
Ref: tr_array_as_ref1594065
Ref: tr_bound_function_applyp1594493
Ref: tr_file_tty_messagesp1595545
Ref: tr_float_can_branch_complex1595909
Ref: tr_function_call_default1596392
Ref: tr_numer1597090
Ref: tr_optimize_max_loop1597255
Ref: tr_state_vars1597577
Ref: tr_warnings_get1598107
Ref: tr_warn_fexpr1598488
Ref: tr_warn_meval1598731
Ref: tr_warn_mode1598930
Ref: tr_warn_undeclared1599085
Ref: tr_warn_undefined_variable1599241
Ref: compile_file1599382
Ref: declare_translated1600661
Node: Program Flow1601279
Node: Lisp and Maxima1601541
Node: Garbage Collection1605611
Ref: garbage_collect1606149
Node: Introduction to Program Flow1606530
Node: Functions and Variables for Program Flow1606847
Ref: backtrace1607066
Ref: do1608696
Ref: while1608696
Ref: unless1608696
Ref: for1608696
Ref: from1608696
Ref: thru1608696
Ref: step1608696
Ref: next1608696
Ref: in1608696
Ref: errcatch1617785
Ref: error1618317
Ref: warning1618936
Ref: error_size1619244
Ref: error_syms1620789
Ref: errormsg_fn1621418
Ref: errormsg1621575
Ref: go1622775
Ref: if1623291
Ref: map1625897
Ref: mapatom1627768
Ref: maperror1628009
Ref: mapprint1628532
Ref: maplist1628905
Ref: prederror1629353
Ref: return1629819
Ref: scanmap1631017
Ref: throw1632793
Ref: outermap1632972
Node: Debugging1639750
Node: Source Level Debugging1639975
Node: Keyword Commands1643840
Node: Functions and Variables for Debugging1646178
Ref: debugmode1646373
Ref: refcheck1646908
Ref: setcheck1647101
Ref: setcheckbreak1648269
Ref: setval1648749
Ref: timer1648994
Ref: timer_reset1650155
Ref: untimer1650500
Ref: timer_devalue1651096
Ref: timer_info1651516
Ref: trace1652297
Ref: trace_options1653400
Ref: trace_break_arg1658891
Ref: untrace1659267
Node: Package alt-display1659610
Node: Introduction to alt-display1659843
Node: Functions and Variables for alt-display1662656
Ref: alt_display_output_type1662878
Ref: define_alt_display1664624
Ref: info_display1666243
Ref: mathml_display1666564
Ref: tex_display1666926
Ref: multi_display_for_texinfo1667196
Ref: reset_displays1668117
Ref: set_alt_display1668278
Ref: set_prompt1669074
Ref: Functions and Variables for alt-display-Footnote-11671618
Node: Package asympa1671749
Node: Introduction to asympa1671981
Ref: asympa1672177
Node: Functions and variables for asympa1672497
Node: Package augmented_lagrangian1672694
Node: Functions and Variables for augmented_lagrangian1672939
Ref: augmented_lagrangian_method1673198
Node: Package bernstein1676860
Node: Functions and Variables for Bernstein1677073
Ref: bernstein_poly1677277
Ref: bernstein_explicit1679143
Ref: multibernstein_poly1679772
Ref: bernstein_approx1680203
Ref: bernstein_expand1681455
Node: Package bitwise1681950
Node: Functions and Variables for bitwise1682439
Ref: bit_not1682609
Ref: bit_and1683150
Ref: bit_or1684003
Ref: bit_xor1684850
Ref: bit_lsh1685707
Ref: bit_rsh1686459
Ref: bit_length1687227
Ref: bit_onep1687750
Node: Package bode1689316
Node: Functions and Variables for bode1689495
Ref: bode_gain1689674
Ref: bode_phase1691078
Node: Package cartan1692730
Node: Introduction to cartan1692941
Node: Functions and Variables for cartan1693618
Ref: init_cartan1693815
Ref: cartan-~1694486
Ref: cartan-|1695143
Ref: ext_diff1695303
Ref: lie_diff1695441
Node: Package celine1696976
Node: Introduction to celine1697156
Node: Package clebsch_gordan1700993
Node: Functions and Variables for clebsch_gordan1701211
Ref: clebsch_gordan1701440
Ref: racah_v1701575
Ref: racah_w1701734
Ref: wigner_3j1701877
Ref: wigner_6j1702038
Ref: wigner_9j1702134
Node: Package cobyla1702255
Node: Introduction to cobyla1702500
Node: Functions and Variables for cobyla1705025
Ref: fmin_cobyla1705250
Ref: bf_fmin_cobyla1707999
Node: Examples for cobyla1708382
Node: Package colnew1710031
Node: Introduction to colnew1710301
Node: Functions and Variables for colnew1712738
Ref: colnew_expert1712963
Ref: colnew_appsln1721551
Node: Examples for colnew1722009
Node: References for colnew1751347
Ref: gawain-ball1751507
Ref: ascher-1979a1751803
Ref: ascher-1979b1752087
Ref: ascher-1981a1752426
Ref: ascher-1981b1752666
Ref: ascher-russell1752981
Ref: parker-wan1753228
Ref: bader-ascher1753538
Ref: ascher-et-al1753779
Ref: bellon-talon1754040
Node: Package combinatorics1754342
Node: Introduction to combinatorics1754595
Node: Functions and Variables for Combinatorics1756580
Ref: apply_cycles1756812
Ref: cyclep1757561
Ref: perm_cycles1758179
Ref: perm_decomp1758589
Ref: perm_inverse1759024
Ref: perm_length1759468
Ref: perm_lex_next1759933
Ref: perm_lex_rank1760272
Ref: perm_lex_unrank1760684
Ref: perm_next1761055
Ref: perm_parity1761412
Ref: perm_rank1761852
Ref: perm_undecomp1762250
Ref: perm_unrank1762600
Ref: permp1762957
Ref: perms1763403
Ref: perms_lex1764895
Ref: permult1766687
Ref: permute1766960
Ref: random_perm1767569
Node: Package contrib_ode1767832
Node: Introduction to contrib_ode1768185
Node: Functions and Variables for contrib_ode1773916
Ref: contrib_ode1774183
Ref: odelin1774342
Ref: ode_check1775116
Ref: gauss_a1776273
Ref: gauss_b1776941
Ref: dgauss_a1777005
Ref: dgauss_b1777131
Ref: kummer_m1777257
Ref: kummer_u1777701
Ref: dkummer_m1777922
Ref: dkummer_u1778035
Ref: bessel_simplify1778148
Ref: expintegral_e_simplify1779381
Node: Possible improvements to contrib_ode1779692
Node: Test cases for contrib_ode1780810
Node: References for contrib_ode1781578
Node: Package descriptive1783127
Node: Introduction to descriptive1783480
Node: Functions and Variables for data manipulation1788586
Ref: build_sample1788885
Ref: continuous_freq1791309
Ref: discrete_freq1795126
Ref: standardize1796474
Ref: subsample1796851
Ref: transform_sample1802955
Node: Functions and Variables for descriptive statistics1804543
Ref: mean1804871
Ref: var1807787
Ref: var11810866
Ref: std1811700
Ref: std11813067
Ref: noncentral_moment1813699
Ref: central_moment1816169
Ref: cv1818808
Ref: smin1819455
Ref: smax1820105
Ref: range1820758
Ref: quantile1821240
Ref: median1822281
Ref: qrange1823024
Ref: mean_deviation1823891
Ref: median_deviation1824849
Ref: harmonic_mean1825757
Ref: geometric_mean1826688
Ref: kurtosis1827613
Ref: skewness1828500
Ref: pearson_skewness1829371
Ref: quartile_skewness1830203
Ref: km1831125
Ref: cdf_empirical1832543
Ref: cov1833537
Ref: cov11836106
Ref: global_variances1837332
Ref: cor1839198
Ref: list_correlations1841466
Ref: principal_components1844705
Node: Functions and Variables for statistical graphs1848967
Ref: barsplot1849233
Ref: barsplot_description1853591
Ref: boxplot1854487
Ref: boxplot_description1858093
Ref: histogram1858276
Ref: histogram_description1863426
Ref: histogram_skyline1864441
Ref: piechart1865947
Ref: piechart_description1867538
Ref: scatterplot1867723
Ref: scatterplot_description1869580
Ref: starplot1869776
Ref: starplot_description1872069
Ref: stemplot1872254
Node: Package diag1873258
Node: Functions and Variables for diag1873442
Ref: diag_function1873621
Ref: JF1874884
Ref: jordan1875700
Ref: dispJordan1878126
Ref: minimalPoly1879286
Ref: ModeMatrix1880026
Ref: mat_function1881752
Node: Package distrib1885855
Node: Introduction to distrib1886141
Node: Functions and Variables for continuous distributions1892165
Node: Normal Random Variable1893096
Ref: pdf_normal1893497
Ref: cdf_normal1894078
Ref: quantile_normal1894930
Ref: mean_normal1895543
Ref: var_normal1895781
Ref: std_normal1896074
Ref: skewness_normal1896356
Ref: kurtosis_normal1896636
Ref: random_normal1896944
Node: Student's t Random Variable1897437
Ref: pdf_student_t1897985
Ref: cdf_student_t1898749
Ref: quantile_student_t1899615
Ref: mean_student_t1899910
Ref: var_student_t1900148
Ref: std_student_t1900631
Ref: skewness_student_t1901005
Ref: kurtosis_student_t1901313
Ref: random_student_t1901692
Node: Noncentral Student's t Random Variable1902518
Ref: pdf_noncentral_student_t1903165
Ref: cdf_noncentral_student_t1906461
Ref: quantile_noncentral_student_t1906922
Ref: mean_noncentral_student_t1907326
Ref: var_noncentral_student_t1908359
Ref: std_noncentral_student_t1909061
Ref: skewness_noncentral_student_t1909763
Ref: kurtosis_noncentral_student_t1911188
Ref: random_noncentral_student_t1912787
Node: Chi-squared Random Variable1913737
Ref: pdf_chi21914216
Ref: cdf_chi21915217
Ref: quantile_chi21915987
Ref: mean_chi21916408
Ref: var_chi21916763
Ref: std_chi21917126
Ref: skewness_chi21917521
Ref: kurtosis_chi21918203
Ref: random_chi21918781
Node: Noncentral Chi-squared Random Variable1919182
Ref: pdf_noncentral_chi21919793
Ref: cdf_noncentral_chi21920688
Ref: quantile_noncentral_chi21921003
Ref: mean_noncentral_chi21921399
Ref: var_noncentral_chi21921666
Ref: std_noncentral_chi21921943
Ref: skewness_noncentral_chi21922245
Ref: kurtosis_noncentral_chi21922658
Ref: random_noncentral_chi21923048
Node: F Random Variable1923464
Ref: pdf_f1923913
Ref: cdf_f1924831
Ref: quantile_f1925632
Ref: mean_f1925976
Ref: var_f1926307
Ref: std_f1926684
Ref: skewness_f1927065
Ref: kurtosis_f1927465
Ref: random_f1927957
Node: Exponential Random Variable1928577
Ref: pdf_exp1929009
Ref: cdf_exp1929520
Ref: quantile_exp1930055
Ref: mean_exp1930668
Ref: var_exp1931208
Ref: std_exp1931850
Ref: skewness_exp1932421
Ref: kurtosis_exp1932825
Ref: random_exp1933229
Node: Lognormal Random Variable1933595
Ref: pdf_lognormal1933951
Ref: cdf_lognormal1934685
Ref: quantile_lognormal1935660
Ref: mean_lognormal1936210
Ref: var_lognormal1936640
Ref: std_lognormal1936999
Ref: skewness_lognormal1937504
Ref: kurtosis_lognormal1937909
Ref: random_lognormal1938326
Node: Gamma Random Variable1938760
Ref: pdf_gamma1939191
Ref: cdf_gamma1939736
Ref: quantile_gamma1940439
Ref: mean_gamma1940729
Ref: var_gamma1940966
Ref: std_gamma1941258
Ref: skewness_gamma1941529
Ref: kurtosis_gamma1941912
Ref: random_gamma1942290
Node: Beta Random Variable1943017
Ref: pdf_beta1943388
Ref: cdf_beta1943890
Ref: quantile_beta1944628
Ref: mean_beta1944916
Ref: var_beta1945251
Ref: std_beta1945591
Ref: skewness_beta1945987
Ref: kurtosis_beta1946354
Ref: random_beta1946818
Node: Continuous Uniform Random Variable1947297
Ref: pdf_continuous_uniform1947667
Ref: cdf_continuous_uniform1948059
Ref: quantile_continuous_uniform1948477
Ref: mean_continuous_uniform1948812
Ref: var_continuous_uniform1949174
Ref: std_continuous_uniform1949603
Ref: skewness_continuous_uniform1950007
Ref: kurtosis_continuous_uniform1950309
Ref: random_continuous_uniform1950584
Node: Logistic Random Variable1951046
Ref: pdf_logistic1951427
Ref: cdf_logistic1952217
Ref: quantile_logistic1952785
Ref: mean_logistic1953085
Ref: var_logistic1953327
Ref: std_logistic1953727
Ref: skewness_logistic1954109
Ref: kurtosis_logistic1954393
Ref: random_logistic1954773
Node: Pareto Random Variable1955162
Ref: pdf_pareto1955401
Ref: cdf_pareto1955759
Ref: quantile_pareto1956133
Ref: mean_pareto1956426
Ref: var_pareto1956634
Ref: std_pareto1957065
Ref: skewness_pareto1957513
Ref: kurtosis_pareto1957903
Ref: random_pareto1958374
Node: Weibull Random Variable1958757
Ref: pdf_weibull1958998
Ref: cdf_weibull1959640
Ref: quantile_weibull1960030
Ref: mean_weibull1960326
Ref: var_weibull1960667
Ref: std_weibull1961042
Ref: skewness_weibull1961436
Ref: kurtosis_weibull1962159
Ref: random_weibull1962869
Node: Rayleigh Random Variable1963254
Ref: pdf_rayleigh1963600
Ref: cdf_rayleigh1964187
Ref: quantile_rayleigh1964784
Ref: mean_rayleigh1965314
Ref: var_rayleigh1965875
Ref: std_rayleigh1966717
Ref: skewness_rayleigh1967510
Ref: kurtosis_rayleigh1968619
Ref: random_rayleigh1969688
Node: Laplace Random Variable1970066
Ref: pdf_laplace1970521
Ref: cdf_laplace1971157
Ref: quantile_laplace1971541
Ref: mean_laplace1971835
Ref: var_laplace1972073
Ref: std_laplace1972367
Ref: skewness_laplace1972641
Ref: kurtosis_laplace1972921
Ref: random_laplace1973201
Node: Cauchy Random Variable1973584
Ref: pdf_cauchy1974191
Ref: cdf_cauchy1974605
Ref: quantile_cauchy1975130
Ref: random_cauchy1975422
Node: Gumbel Random Variable1975801
Ref: pdf_gumbel1976006
Ref: cdf_gumbel1976552
Ref: quantile_gumbel1976975
Ref: mean_gumbel1977267
Ref: var_gumbel1977653
Ref: std_gumbel1978044
Ref: skewness_gumbel1978414
Ref: kurtosis_gumbel1979190
Ref: random_gumbel1979563
Node: Functions and Variables for discrete distributions1979942
Node: General Finite Discrete Random Variable1980559
Ref: pdf_general_finite_discrete1980872
Ref: cdf_general_finite_discrete1981773
Ref: quantile_general_finite_discrete1982663
Ref: mean_general_finite_discrete1982895
Ref: var_general_finite_discrete1983111
Ref: std_general_finite_discrete1983330
Ref: skewness_general_finite_discrete1983559
Ref: kurtosis_general_finite_discrete1983795
Ref: random_general_finite_discrete1984031
Node: Binomial Random Variable1984669
Ref: pdf_binomial1985343
Ref: cdf_binomial1985752
Ref: quantile_binomial1986424
Ref: mean_binomial1986764
Ref: var_binomial1987048
Ref: std_binomial1987342
Ref: skewness_binomial1987659
Ref: kurtosis_binomial1988093
Ref: random_binomial1988527
Node: Poisson Random Variable1989084
Ref: pdf_poisson1989587
Ref: cdf_poisson1990021
Ref: quantile_poisson1990474
Ref: mean_poisson1990763
Ref: var_poisson1990995
Ref: std_poisson1991234
Ref: skewness_poisson1991501
Ref: kurtosis_poisson1991865
Ref: random_poisson1992239
Node: Bernoulli Random Variable1992775
Ref: pdf_bernoulli1993289
Ref: cdf_bernoulli1993805
Ref: quantile_bernoulli1994226
Ref: mean_bernoulli1994533
Ref: var_bernoulli1994914
Ref: std_bernoulli1995309
Ref: skewness_bernoulli1995730
Ref: kurtosis_bernoulli1996370
Ref: random_bernoulli1997012
Node: Geometric Random Variable1997440
Ref: pdf_geometric1998032
Ref: cdf_geometric1998446
Ref: quantile_geometric1998786
Ref: mean_geometric1999240
Ref: var_geometric1999730
Ref: std_geometric2000109
Ref: skewness_geometric2000436
Ref: kurtosis_geometric2000809
Ref: random_geometric2001235
Node: Discrete Uniform Random Variable2002047
Ref: pdf_discrete_uniform2002598
Ref: cdf_discrete_uniform2003027
Ref: quantile_discrete_uniform2003470
Ref: mean_discrete_uniform2003816
Ref: var_discrete_uniform2004194
Ref: std_discrete_uniform2004628
Ref: skewness_discrete_uniform2005093
Ref: kurtosis_discrete_uniform2005410
Ref: random_discrete_uniform2005895
Node: Hypergeometric Random Variable2006365
Ref: pdf_hypergeometric2006982
Ref: cdf_hypergeometric2007746
Ref: quantile_hypergeometric2008582
Ref: mean_hypergeometric2008965
Ref: var_hypergeometric2009415
Ref: std_hypergeometric2009961
Ref: skewness_hypergeometric2010564
Ref: kurtosis_hypergeometric2011245
Ref: random_hypergeometric2012140
Node: Negative Binomial Random Variable2012761
Ref: pdf_negative_binomial2013432
Ref: cdf_negative_binomial2013955
Ref: quantile_negative_binomial2014485
Ref: mean_negative_binomial2014847
Ref: var_negative_binomial2015244
Ref: std_negative_binomial2015694
Ref: skewness_negative_binomial2016124
Ref: kurtosis_negative_binomial2016568
Ref: random_negative_binomial2017052
Node: Package draw2017556
Node: Introduction to draw2017842
Node: Functions and Variables for draw2020227
Ref: gr2d2020488
Ref: gr3d2021750
Ref: draw2022581
Ref: draw2d2024613
Ref: draw3d2024880
Ref: draw_file2025147
Ref: multiplot_mode2025588
Ref: set_draw_defaults2026930
Ref: adapt_depth_draw2027754
Ref: allocation2027998
Ref: axis_3d2029382
Ref: axis_bottom2029867
Ref: axis_left2030311
Ref: axis_right2030718
Ref: axis_top2031128
Ref: background_color2031533
Ref: border2031906
Ref: capping2032505
Ref: cbrange2033103
Ref: cbtics2033993
Ref: color_draw2034661
Ref: colorbox2038474
Ref: columns2039483
Ref: contour2040115
Ref: contour_levels2041229
Ref: data_file_name2043138
Ref: delay2043529
Ref: dimensions_draw2044361
Ref: draw_realpart2046068
Ref: enhanced3d2046743
Ref: error_type2052386
Ref: file_name2052699
Ref: fill_color2053279
Ref: fill_density2053486
Ref: filled_func2053695
Ref: font2055108
Ref: font_size2058302
Ref: gnuplot_file_name2058722
Ref: grid_draw2059480
Ref: head_angle2060198
Ref: head_both2061415
Ref: head_length2062018
Ref: head_type2062709
Ref: interpolate_color2063527
Ref: ip_grid2066313
Ref: ip_grid_in2066504
Ref: key2066705
Ref: key_pos2067429
Ref: label_alignment2068458
Ref: label_orientation2069360
Ref: line_type2070279
Ref: line_width2071190
Ref: logcb2071892
Ref: logx_draw2072596
Ref: logx_secondary2073145
Ref: logy_draw2074012
Ref: logy_secondary2074438
Ref: logz2075271
Ref: palette_draw2076340
Ref: point_size2079538
Ref: point_type_draw2080114
Ref: points_joined2081820
Ref: proportional_axes2082989
Ref: surface_hide2084203
Ref: terminal2084731
Ref: title_draw2088112
Ref: transform2088534
Ref: transparent2089946
Ref: unit_vectors2090468
Ref: user_preamble2091143
Ref: view2092355
Ref: wired_surface2093263
Ref: x_voxel2093749
Ref: xaxis2093999
Ref: xaxis_color2094446
Ref: xaxis_secondary2094926
Ref: xaxis_type2095732
Ref: xaxis_width2096207
Ref: xlabel_draw2096662
Ref: xlabel_secondary2097181
Ref: xrange2097910
Ref: xrange_secondary2098422
Ref: xtics_draw2098909
Ref: xtics_axis2100795
Ref: xtics_rotate2101117
Ref: xtics_rotate_secondary2101375
Ref: xtics_secondary2101663
Ref: xtics_secondary_axis2101870
Ref: xu_grid2102222
Ref: xy_file2102725
Ref: xyplane2103086
Ref: y_voxel2103602
Ref: yaxis2103852
Ref: yaxis_color2104274
Ref: yaxis_secondary2104754
Ref: yaxis_type2105441
Ref: yaxis_width2105917
Ref: ylabel_draw2106372
Ref: ylabel_secondary2106898
Ref: yrange2107723
Ref: yrange_secondary2108295
Ref: ytics_draw2109107
Ref: ytics_axis2109292
Ref: ytics_rotate2109614
Ref: ytics_rotate_secondary2109872
Ref: ytics_secondary2110160
Ref: ytics_secondary_axis2110362
Ref: yv_grid2110714
Ref: z_voxel2111244
Ref: zaxis2111449
Ref: zaxis_color2111984
Ref: zaxis_type2112565
Ref: zaxis_width2113098
Ref: zlabel_draw2113649
Ref: zlabel_rotate2114212
Ref: zrange2114803
Ref: ztics_draw2115406
Ref: ztics_axis2115596
Ref: ztics_rotate2115918
Ref: bars2116225
Ref: cylindrical2117113
Ref: elevation_grid2117836
Ref: ellipse2118855
Ref: errors2120048
Ref: explicit2121410
Ref: image2123388
Ref: implicit2127170
Ref: label_draw2129085
Ref: mesh2130334
Ref: parametric2131759
Ref: parametric_surface2133240
Ref: points2134492
Ref: polar2140797
Ref: polygon2141670
Ref: quadrilateral2142552
Ref: rectangle2143621
Ref: region2144603
Ref: spherical2145349
Ref: triangle2146079
Ref: tube2146982
Ref: vector2147749
Ref: draw_renderer2149060
Node: Functions and Variables for pictures2149299
Ref: get_pixel2149555
Ref: make_level_picture2149715
Ref: make_rgb_picture2150879
Ref: negative_picture2152002
Ref: picture_equalp2152101
Ref: picturep2152211
Ref: read_xpm2152329
Ref: rgb2level2152421
Ref: take_channel2152558
Node: Functions and Variables for worldmap2153470
Ref: boundaries_array2153748
Ref: numbered_boundaries2154087
Ref: make_poly_continent2154614
Ref: make_poly_country2155226
Ref: make_polygon2155588
Ref: region_boundaries2158677
Ref: region_boundaries_plus2159224
Ref: geomap2159858
Node: Package drawdf2166079
Node: Introduction to drawdf2166292
Node: Functions and Variables for drawdf2168185
Ref: drawdf2168417
Node: Package dynamics2176613
Node: The dynamics package2176883
Node: Graphical analysis of discrete dynamical systems2177565
Ref: chaosgame2177835
Ref: evolution2178597
Ref: evolution2d2179339
Ref: ifs2180373
Ref: orbits2181789
Ref: staircase2183205
Node: Visualization with VTK2184063
Ref: scene2184526
Ref: scene_options2186765
Ref: scene_azimuth2186808
Ref: scene_background2187107
Ref: scene_elevation2187348
Ref: scene_height2187678
Ref: scene_restart2187852
Ref: scene_tstep2188101
Ref: scene_width2188301
Ref: scene_windowname2188472
Ref: scene_windowtitle2188765
Ref: scene_objects2188958
Ref: cone2189001
Ref: cube2189862
Ref: cylinder2190187
Ref: sphere2190820
Ref: object_options2190940
Ref: object_animation2191001
Ref: object_capping2191596
Ref: object_center2191850
Ref: object_color2192203
Ref: object_endphi2192412
Ref: object_endtheta2192866
Ref: object_height2193316
Ref: object_linewidth2193477
Ref: object_opacity2193656
Ref: object_orientation2193911
Ref: object_origin2194281
Ref: object_phiresolution2194553
Ref: object_points2194831
Ref: object_pointsize2195034
Ref: object_position2195210
Ref: object_radius2195427
Ref: object_resolution2195651
Ref: object_scale2195850
Ref: object_startphi2196297
Ref: object_starttheta2196752
Ref: object_surface2197203
Ref: object_thetaresolution2197498
Ref: object_track2197790
Ref: object_xlength2198773
Ref: object_ylength2198969
Ref: object_zlength2199165
Ref: object_wireframe2199361
Node: Package engineering-format2199565
Node: Functions and Variables for engineering-format2199952
Ref: engineering_format_floats2200201
Ref: engineering_format_min2200763
Ref: engineering_format_max2201534
Node: Package ezunits2201778
Node: Introduction to ezunits2202044
Node: Introduction to physical_constants2205685
Ref: physical_constants2205928
Node: Functions and Variables for ezunits2210420
Ref: constvalue2221459
Ref: declare_constvalue2222327
Ref: remove_constvalue2222923
Ref: units2223074
Ref: declare_units2224420
Ref: qty2225168
Ref: declare_qty2226139
Ref: unitp2226820
Ref: declare_unit_conversion2228011
Ref: declare_dimensions2229858
Ref: remove_dimensions2230838
Ref: declare_fundamental_dimensions2231003
Ref: declare_fundamental_units2232373
Ref: dimensions2234052
Ref: fundamental_units2235827
Ref: dimensionless2237179
Ref: natural_unit2238279
Node: Package f902238517
Node: Functions for f902238679
Ref: f90_output_line_length_max2238799
Ref: function_f902240416
Node: Package finance2242476
Node: Introduction to finance2242691
Node: Functions and Variables for finance2243300
Ref: days3602243502
Ref: fv2243807
Ref: pv2244162
Ref: graph_flow2244520
Ref: annuity_pv2244905
Ref: annuity_fv2245316
Ref: geo_annuity_pv2245725
Ref: geo_annuity_fv2246192
Ref: amortization2246656
Ref: arit_amortization2248041
Ref: geo_amortization2249737
Ref: saving2251389
Ref: npv2252785
Ref: irr2253104
Ref: benefit_cost2253506
Node: Package format2254134
Node: Introduction to format2254350
Node: Functions and Variables for format2256720
Ref: Template keywords2259698
Node: Package fractals2274254
Node: Introduction to fractals2274574
Node: Definitions for IFS fractals2275200
Ref: sierpinskiale2275920
Ref: treefale2276292
Ref: fernfale2276581
Node: Definitions for complex fractals2276926
Ref: mandelbrot_set2277152
Ref: julia_set2277646
Ref: julia_parameter2278158
Ref: julia_sin2278432
Node: Definitions for Koch snowflakes2279221
Ref: snowmap2279443
Node: Definitions for Peano maps2280201
Ref: hilbertmap2280485
Ref: sierpinskimap2280732
Node: Package gentran2280987
Node: Introduction to Gentran2281274
Node: Functions for Gentran2281830
Node: Gentran Mode Switches2289327
Node: Gentran Option Variables2291339
Node: Gentran Evaluation Forms2298753
Node: Package ggf2301865
Node: Functions and Variables for ggf2302040
Ref: ggf2303330
Node: Package graphs2305394
Node: Introduction to graphs2305605
Node: Functions and Variables for graphs2306700
Ref: create_graph2306944
Ref: copy_graph2308988
Ref: circulant_graph2309058
Ref: clebsch_graph2309639
Ref: complement_graph2309703
Ref: complete_bipartite_graph2309787
Ref: complete_graph2309899
Ref: cycle_digraph2309984
Ref: cycle_graph2310068
Ref: cuboctahedron_graph2310141
Ref: cube_graph2310220
Ref: dodecahedron_graph2310291
Ref: empty_graph2310365
Ref: flower_snark2310444
Ref: from_adjacency_matrix2310693
Ref: frucht_graph2310800
Ref: graph_product2310862
Ref: graph_union2311111
Ref: grid_graph2311205
Ref: great_rhombicosidodecahedron_graph2311273
Ref: great_rhombicuboctahedron_graph2311379
Ref: grotzch_graph2311479
Ref: heawood_graph2311543
Ref: icosahedron_graph2311607
Ref: icosidodecahedron_graph2311679
Ref: induced_subgraph2311763
Ref: line_graph2312262
Ref: make_graph2312340
Ref: mycielski_graph2313564
Ref: new_graph2313654
Ref: path_digraph2313736
Ref: path_graph2313818
Ref: petersen_graph2313889
Ref: random_bipartite_graph2314089
Ref: random_digraph2314249
Ref: random_regular_graph2314392
Ref: random_graph2314607
Ref: random_graph12314740
Ref: random_network2314846
Ref: random_tournament2315362
Ref: random_tree2315451
Ref: small_rhombicosidodecahedron_graph2315528
Ref: small_rhombicuboctahedron_graph2315634
Ref: snub_cube_graph2315734
Ref: snub_dodecahedron_graph2315802
Ref: truncated_cube_graph2315886
Ref: truncated_dodecahedron_graph2315964
Ref: truncated_icosahedron_graph2316058
Ref: truncated_tetrahedron_graph2316150
Ref: tutte_graph2316242
Ref: underlying_graph2316302
Ref: wheel_graph2316401
Ref: adjacency_matrix2316531
Ref: average_degree2317096
Ref: biconnected_components2317425
Ref: bipartition2317922
Ref: chromatic_index2318323
Ref: chromatic_number2318579
Ref: clear_edge_weight2318907
Ref: clear_vertex_label2319347
Ref: connected_components2319828
Ref: diameter2320161
Ref: edge_coloring2320377
Ref: degree_sequence2321132
Ref: edge_connectivity2321391
Ref: edges2321516
Ref: get_edge_weight2321767
Ref: get_vertex_label2322496
Ref: get_unique_vertex_by_label2322974
Ref: get_all_vertices_by_label2323833
Ref: graph_charpoly2324506
Ref: graph_center2324876
Ref: graph_eigenvalues2325117
Ref: graph_periphery2325476
Ref: graph_size2325731
Ref: graph_order2325977
Ref: girth2326228
Ref: hamilton_cycle2326466
Ref: hamilton_path2326848
Ref: isomorphism2327241
Ref: in_neighbors2327745
Ref: is_biconnected2328121
Ref: is_bipartite2328458
Ref: is_connected2328810
Ref: is_digraph2329092
Ref: is_edge_in_graph2329423
Ref: is_graph2330028
Ref: is_graph_or_digraph2330344
Ref: is_isomorphic2330717
Ref: is_planar2331108
Ref: is_sconnected2331634
Ref: is_vertex_in_graph2332003
Ref: is_tree2332395
Ref: laplacian_matrix2332736
Ref: max_clique2333439
Ref: max_degree2333705
Ref: max_flow2334090
Ref: max_independent_set2335123
Ref: max_matching2335464
Ref: min_degree2335870
Ref: min_edge_cut2336254
Ref: min_vertex_cover2336378
Ref: min_vertex_cut2336474
Ref: minimum_spanning_tree2336604
Ref: neighbors2336919
Ref: odd_girth2337195
Ref: out_neighbors2337555
Ref: planar_embedding2337933
Ref: print_graph2338474
Ref: radius2339175
Ref: set_edge_weight2339385
Ref: set_vertex_label2339871
Ref: shortest_path2340641
Ref: shortest_weighted_path2341008
Ref: strong_components2341625
Ref: topological_sort2341992
Ref: vertex_connectivity2342533
Ref: vertex_degree2342662
Ref: vertex_distance2342764
Ref: vertex_eccentricity2343180
Ref: vertex_in_degree2343464
Ref: vertex_out_degree2344027
Ref: vertices2344410
Ref: vertex_coloring2344636
Ref: wiener_index2345122
Ref: add_edge2345367
Ref: add_edges2345766
Ref: add_vertex2346156
Ref: add_vertices2346508
Ref: connect_vertices2346699
Ref: contract_edge2347258
Ref: remove_edge2348049
Ref: remove_vertex2348420
Ref: dimacs_export2348583
Ref: dimacs_import2348841
Ref: graph6_decode2348938
Ref: graph6_encode2349049
Ref: graph6_export2349159
Ref: graph6_import2349293
Ref: sparse6_decode2349401
Ref: sparse6_encode2349519
Ref: sparse6_export2349636
Ref: sparse6_import2349772
Ref: draw_graph2349925
Ref: draw_graph_program2353157
Ref: show_id2353333
Ref: show_label2353449
Ref: label_alignment_graphs2353571
Ref: show_weight2353744
Ref: vertex_type2353865
Ref: vertex_size2354050
Ref: vertex_color2354113
Ref: show_vertices2354195
Ref: show_vertex_type2354320
Ref: show_vertex_size2354513
Ref: show_vertex_color2354600
Ref: vertex_partition2354715
Ref: vertex_coloring_variable2354949
Ref: edge_color2355121
Ref: edge_width2355198
Ref: edge_type2355258
Ref: show_edges2355387
Ref: show_edge_color2355502
Ref: show_edge_width2355609
Ref: show_edge_type2355690
Ref: edge_partition2355840
Ref: edge_coloring_variable2356040
Ref: redraw2356202
Ref: head_angle_graphs2356391
Ref: head_length_graphs2356520
Ref: spring_embedding_depth2356652
Ref: terminal_graphs2356807
Ref: file_name_graphs2356931
Ref: program2357025
Ref: fixed_vertices2357463
Ref: vertices_to_path2357644
Ref: vertices_to_cycle2357786
Node: Package grobner2357930
Node: Introduction to grobner2358151
Node: Functions and Variables for grobner2359889
Ref: poly_add2362680
Ref: poly_subtract2362931
Ref: poly_multiply2363199
Ref: poly_s_polynomial2363446
Ref: poly_primitive_part2363608
Ref: poly_normalize2363854
Ref: poly_expand2364160
Ref: poly_expt2365637
Ref: poly_content2365934
Ref: poly_pseudo_divide2366138
Ref: poly_exact_divide2366762
Ref: poly_normal_form2366982
Ref: poly_buchberger_criterion2367169
Ref: poly_buchberger2367486
Ref: poly_reduction2368185
Ref: poly_minimization2368393
Ref: poly_normalize_list2368691
Ref: poly_grobner2368933
Ref: poly_reduced_grobner2369100
Ref: poly_depends_p2369283
Ref: poly_elimination_ideal2369421
Ref: poly_colon_ideal2369687
Ref: poly_ideal_intersection2369915
Ref: poly_lcm2370074
Ref: poly_gcd2370192
Ref: poly_grobner_equal2370818
Ref: poly_grobner_subsetp2371491
Ref: poly_grobner_member2371780
Ref: poly_ideal_saturation12372236
Ref: poly_ideal_saturation2372597
Ref: poly_ideal_polysaturation12372988
Ref: poly_ideal_polysaturation2373416
Ref: poly_saturation_extension2373726
Ref: poly_polysaturation_extension2373896
Node: Package hompack2373996
Node: Introduction to hompack2374216
Node: Functions and Variables for hompack2374504
Ref: hompack_polsys2374706
Node: Package impdiff2381923
Node: Functions and Variables for impdiff2382116
Ref: implicit_derivative2382310
Node: Package interpol2382765
Node: Introduction to interpol2382989
Node: Functions and Variables for interpol2383407
Ref: lagrange2383614
Ref: charfun22387759
Ref: linearinterpol2389032
Ref: cspline2391671
Ref: ratinterpol2396237
Node: Package lapack2397646
Node: Introduction to lapack2397860
Node: Functions and Variables for lapack2398188
Ref: dgeev2398385
Ref: dgeqrf2401407
Ref: dgesv2403226
Ref: dgesvd2406684
Ref: dlange2411948
Ref: zlange2411948
Ref: dgemm2412954
Ref: zgeev2418035
Ref: zheev2418268
Node: Package lbfgs2422643
Node: Introduction to lbfgs2422850
Node: Functions and Variables for lbfgs2423867
Ref: lbfgs_func2424059
Ref: lbfgs_nfeval_max2438669
Ref: lbfgs_ncorrections2438943
Node: Package levin2439143
Node: Introduction to levin2439401
Node: Functions and Variables for levin2440809
Ref: levin_u_sum2441028
Ref: bflevin_u_sum2441946
Ref: levin_options2442608
Node: Examples for levin2443766
Node: References for levin2448804
Ref: levin-19732449016
Ref: smith-ford-19792449867
Ref: smith-ford-19822450124
Ref: sidi-20032451113
Ref: bender-orszag2451467
Node: Package lindstedt2451639
Node: Functions and Variables for lindstedt2451843
Ref: Lindstedt2452047
Node: Package linearalgebra2453379
Node: Introduction to linearalgebra2453632
Node: Functions and Variables for linearalgebra2458173
Ref: addmatrices2458405
Ref: blockmatrixp2458917
Ref: columnop2459041
Ref: columnswap2459275
Ref: columnspace2459433
Ref: cholesky2459715
Ref: ctranspose2460026
Ref: diag_matrix2460225
Ref: dotproduct2461200
Ref: eigens_by_jacobi2461408
Ref: get_lu_factors2464524
Ref: hankel2464813
Ref: hessian2465102
Ref: hilbert_matrix2466223
Ref: identfor2466361
Ref: invert_by_lu2466937
Ref: jacobian2467106
Ref: kronecker_product2468056
Ref: locate_matrix_entry2468164
Ref: lu_backsub2469100
Ref: lu_factor2473377
Ref: mat_cond2478755
Ref: mat_norm2479274
Ref: linearalgebra_matrixp2479587
Ref: matrix_size2479955
Ref: mat_fullunblocker2480099
Ref: mat_trace2480270
Ref: mat_unblocker2480503
Ref: nullspace2481874
Ref: nullity2482148
Ref: orthogonal_complement2482249
Ref: polytocompanion2482514
Ref: ptringularize2482804
Ref: rowp2483238
Ref: linalg_rank2483464
Ref: rowswap2483957
Ref: toeplitz2484106
Ref: vandermonde_matrix2484940
Ref: zerofor2485096
Ref: zeromatrixp2485639
Node: Package lsquares2485913
Node: Introduction to lsquares2486144
Node: Functions and Variables for lsquares2486490
Ref: lsquares_estimates2486697
Ref: lsquares_estimates_exact2493154
Ref: lsquares_estimates_approximate2495439
Ref: lsquares_mse2498415
Ref: lsquares_residuals2502745
Ref: lsquares_residual_mse2504883
Ref: plsquares2506956
Node: Package minpack2511094
Node: Introduction to minpack2511318
Node: Functions and Variables for minpack2511663
Ref: minpack_lsquares2511865
Ref: minpack_solve2514843
Node: Package makeOrders2517227
Node: Functions and Variables for makeOrders2517431
Ref: makeOrders_func2517640
Node: Package mnewton2518448
Node: Introduction to mnewton2518675
Node: Functions and Variables for mnewton2518986
Ref: newtonepsilon2519188
Ref: newtonmaxiter2519519
Ref: newtondebug2519732
Ref: mnewton2519903
Node: Package numericalio2522407
Ref: numericalio2522719
Node: Introduction to numericalio2522719
Node: Functions and Variables for plain-text input and output2526954
Ref: read_matrix2527284
Ref: read_array2528939
Ref: read_hashed_array2529790
Ref: read_nested_list2530797
Ref: read_list2531702
Ref: write_data2532618
Node: Functions and Variables for binary input and output2534068
Ref: assume_external_byte_order2534354
Ref: openr_binary2534849
Ref: openw_binary2535031
Ref: opena_binary2535231
Ref: read_binary_matrix2535373
Ref: read_binary_array2535789
Ref: read_binary_list2536266
Ref: write_binary_data2536871
Node: Package odepack2537921
Node: Introduction to ODEPACK2538186
Ref: Introduction to ODEPACK-Footnote-12539431
Node: Getting Started with ODEPACK2539486
Node: Functions and Variables for odepack2542876
Ref: dlsode_init2543083
Ref: dlsode_step2544593
Node: Package operatingsystem2546941
Node: Introduction to operatingsystem2547225
Node: Directory operations2547554
Ref: chdir2547751
Ref: mkdir2547811
Ref: rmdir2547868
Ref: getcurrentdirectory2547925
Node: File operations2548215
Ref: copy_file2548393
Ref: rename_file2548473
Ref: delete_file2548556
Node: Environment operations2548619
Ref: getenv2548782
Node: Package opsubst2549031
Node: Functions and Variables for opsubst2549233
Ref: opsubst_func2549427
Node: Package orthopoly2551709
Node: Introduction to orthogonal polynomials2551962
Ref: Floating point Evaluation2562604
Node: Functions and Variables for orthogonal polynomials2569749
Ref: assoc_legendre_p2570013
Ref: assoc_legendre_q2571742
Ref: chebyshev_t2573249
Ref: chebyshev_u2574568
Ref: gen_laguerre2576004
Ref: hermite2577722
Ref: intervalp2579238
Ref: jacobi_p2579351
Ref: laguerre2580375
Ref: legendre_p2581658
Ref: legendre_q2583337
Ref: orthopoly_recur2584568
Ref: orthopoly_weight2586100
Ref: pochhammer2586845
Ref: spherical_bessel_j2588801
Ref: spherical_bessel_y2590548
Ref: spherical_hankel12592298
Ref: spherical_hankel22592633
Ref: spherical_harmonic2592969
Ref: unit_step2595604
Ref: ultraspherical2595854
Node: Package pslq2597223
Node: Introduction to pslq2597434
Node: Functions and Variables for pslq2597903
Ref: guess_exact_value2598090
Node: Package pytranslate2602340
Node: Introduction to pytranslate2602598
Node: Functions in pytranslate2605178
Node: Extending pytranslate2607647
Node: Package quantum_computing2612787
Node: Introduction to quantum_computing2613060
Node: Functions and Variables for Quantum_Computing2614057
Ref: binlist2614309
Ref: binlist2dec2614817
Ref: CNOT2614951
Ref: controlled2615175
Ref: gate2615741
Ref: gate_matrix2616597
Ref: linsert2617189
Ref: lreplace2617410
Ref: normalize2617831
Ref: qdisplay2617944
Ref: qmatrix2618174
Ref: qmeasure2618648
Ref: qubits2619369
Ref: qswap2619669
Ref: Rx2619874
Ref: Ry2620038
Ref: Rz2620202
Ref: tprod2620366
Ref: toffoli2620489
Node: Package ratpow2620738
Node: Functions and Variables for ratpow2621887
Ref: ratp_hipow2622053
Ref: ratp_lopow2622375
Ref: ratp_coeffs2623392
Ref: ratp_dense_coeffs2623767
Node: Package romberg2624119
Node: Functions and Variables for romberg2624310
Ref: romberg_function2624504
Ref: rombergabs2629300
Ref: rombergit2629842
Ref: rombergmin2630270
Ref: rombergtol2630554
Node: Package simplex2631097
Node: Introduction to simplex2631324
Node: Functions and Variables for simplex2633458
Ref: epsilon_lp2633660
Ref: linear_program2634484
Ref: maximize_lp2635547
Ref: minimize_lp2635806
Ref: nonnegative_lp2639221
Ref: scale_lp2639526
Ref: pivot_count_sx2639720
Ref: pivot_max_sx2639855
Node: Package simplification2639970
Node: Introduction to simplification2640292
Node: Package absimp2640685
Node: Package facexp2641714
Ref: facsum2643005
Ref: nextlayerfactor2644906
Ref: facsum_combine2645604
Ref: factorfacsum2646291
Ref: collectterms2646618
Node: Package functs2647853
Ref: rempart2648011
Ref: wronskian2648245
Ref: tracematrix2648919
Ref: nonzeroandfreeof2649396
Ref: gcdivide2650359
Ref: arithmetic2652042
Ref: geometric2652257
Ref: harmonic2652464
Ref: arithsum2652702
Ref: geosum2652860
Ref: gaussprob2653124
Ref: gd2653295
Ref: agd2653437
Ref: vers2653598
Ref: covers2653725
Ref: exsec2653858
Ref: hav2653985
Ref: combination2654112
Ref: permutation2654288
Node: Package ineq2654479
Node: Package rducon2658511
Ref: reduce_consts2658669
Node: Package scifac2660042
Ref: gcfac2660179
Node: Package solve_rec2661154
Node: Introduction to solve_rec2661389
Node: Functions and Variables for solve_rec2662123
Ref: harmonic_number2662335
Ref: harmonic_to_psi2663144
Ref: reduce_order2663496
Ref: simplify_products2665287
Ref: simplify_sum2665481
Ref: solve_rec2666316
Ref: solve_rec_rat2669294
Ref: product_use_gamma2670160
Ref: summand_to_rec2670407
Node: Package stats2671672
Node: Introduction to stats2671988
Node: Functions and Variables for inference_result2673107
Ref: inference_result2673374
Ref: inferencep2675204
Ref: items_inference2675343
Ref: take_inference2676058
Node: Functions and Variables for stats2677912
Ref: stats_numer2678185
Ref: test_mean2678440
Ref: test_means_difference2682819
Ref: test_variance2687652
Ref: test_variance_ratio2690196
Ref: test_proportion2692949
Ref: test_proportions_difference2696464
Ref: test_sign2700155
Ref: test_signed_rank2702093
Ref: test_rank_sum2705185
Ref: test_normality2707948
Ref: linear_regression2709003
Node: Functions and Variables for special distributions2712685
Ref: pdf_signed_rank2712937
Ref: cdf_signed_rank2713173
Ref: pdf_rank_sum2713413
Ref: cdf_rank_sum2713661
Node: Package stirling2713913
Node: Functions and Variables for stirling2714110
Ref: stirling2714309
Node: Package stringproc2716795
Node: Introduction to String Processing2717108
Node: String Input and Output2720539
Ref: close2721413
Ref: flength2721513
Ref: flush_output2721741
Ref: fposition2721900
Ref: freshline2722358
Ref: get_output_stream_string2722760
Ref: make_string_input_stream2723055
Ref: make_string_output_stream2723852
Ref: newline2724554
Ref: opena2724899
Ref: openr2725172
Ref: openw2726034
Ref: printf2726387
Ref: readbyte2731639
Ref: readchar2732535
Ref: readline2732750
Ref: sprint2732965
Ref: writebyte2733755
Node: Characters2735136
Ref: adjust_external_format2735329
Ref: alphacharp2737568
Ref: alphanumericp2738565
Ref: ascii2738789
Ref: cequal2739315
Ref: cequalignore2739428
Ref: cgreaterp2739702
Ref: cgreaterpignore2739848
Ref: charp2740128
Ref: cint2740246
Ref: clessp2741164
Ref: clesspignore2741304
Ref: constituent2741578
Ref: digitcharp2742204
Ref: lowercasep2742358
Ref: newline_variable2742497
Ref: space_variable2742570
Ref: tab_variable2742618
Ref: unicode2742662
Ref: unicode_to_utf82744669
Ref: uppercasep2745228
Ref: us_ascii_only2745368
Ref: utf8_to_unicode2746310
Node: String Processing2746524
Ref: charat2746780
Ref: charlist2747090
Ref: eval_string2747263
Ref: parse_string2747878
Ref: scopy2748515
Ref: sdowncase2748597
Ref: sequal2748825
Ref: sequalignore2748968
Ref: sexplode2749246
Ref: simplode2749335
Ref: sinsert2750019
Ref: sinvertcase2750540
Ref: slength2750994
Ref: smake2751080
Ref: smismatch2751277
Ref: split2751752
Ref: sposition2752554
Ref: sremove2752801
Ref: sremovefirst2753580
Ref: sreverse2753915
Ref: ssearch2754058
Ref: ssort2754726
Ref: ssubst2755428
Ref: ssubstfirst2756362
Ref: strim2756719
Ref: striml2757070
Ref: strimr2757183
Ref: stringp2757297
Ref: substring2757402
Ref: supcase2757999
Ref: tokens2758487
Node: Octets and Utilities for Cryptography2759336
Ref: base642759544
Ref: base64_decode2760535
Ref: crc24sum2760987
Ref: md5sum2762756
Ref: mgf1_sha12764647
Ref: number_to_octets2765569
Ref: octets_to_number2766032
Ref: octets_to_oid2766201
Ref: octets_to_string2766605
Ref: oid_to_octets2768556
Ref: sha1sum2768707
Ref: sha256sum2769921
Ref: string_to_octets2770674
Node: Regular Expressions2771366
Node: Introduction to Regular Expressions2771590
Node: Functions and Variables2772248
Ref: regex_compile2772434
Ref: regex_match_pos2772881
Ref: regex_match2774501
Ref: regex_split2777704
Ref: regex_subst_first2778025
Ref: regex_subst2778775
Ref: string_to_regex2779086
Node: Package to_poly_solve2779803
Node: Functions and Variables for to_poly_solve2780024
Ref: complex_number_p2787924
Ref: compose_functions2788812
Ref: dfloat2790820
Ref: elim2791881
Ref: elim_allbut2794483
Ref: eliminate_using2795205
Ref: fourier_elim2796646
Ref: isreal_p2800004
Ref: new_variable2801332
Ref: nicedummies2803076
Ref: real_imagpart_to_conjugate2805167
Ref: rectform_log_if_constant2805904
Ref: simp_inequality2806922
Ref: standardize_inverse_trig2808870
Ref: subst_parallel2809381
Ref: to_poly2811492
Ref: %union2828002
Node: Package trigtools2829838
Node: Introduction to trigtools2830086
Ref: Introduction to trigtools-Footnote-12830958
Node: Functions and Variables for trigtools2831123
Node: Convert to sin and cos2831608
Ref: c2sin2831853
Ref: c2cos2831879
Node: Convert to Trignometric Functions2835069
Ref: c2trig2835330
Node: Convert to Hyperbolic Functions2837981
Ref: c2hyp2838252
Node: Factor Sums of sin and cos Functions2838986
Ref: trigfactor2839262
Node: Solve Trignometric Equations2843103
Ref: trigsolve2843368
Node: Evaluation of Trignometric Functions2850765
Ref: trigvalue2851033
Ref: trigeval2851334
Node: Contract atan Functions2859135
Ref: atan_contract2859340
Node: References2861120
Node: Package unit2861301
Node: Introduction to Units2861510
Node: Functions and Variables for Units2865222
Ref: setunits2865413
Ref: uforget2870323
Ref: convert2871637
Ref: usersetunits2875068
Ref: metricexpandall2883590
Node: Package wrstcse2884718
Node: Introduction to wrstcse2884938
Node: Functions and Variables for wrstcse2885956
Ref: wc_typicalvalues2886158
Ref: wc_inputvalueranges2887157
Ref: wc_systematic2887960
Ref: wc_montecarlo2889158
Ref: wc_mintypmax2890323
Ref: wc_tolappend2891541
Ref: wc_mintypmax2tol2892796
Node: Package zeilberger2893412
Node: Introduction to zeilberger2893660
Node: Functions and Variables for zeilberger2895629
Ref: AntiDifference2895848
Ref: Gosper2896025
Ref: GosperSum2896248
Ref: parGosper2898178
Ref: Zeilberger2898499
Node: General global variables2899176
Ref: MAX_ORD2899386
Ref: simplified_output2899518
Ref: linear_solver2899719
Ref: warnings2899904
Ref: Gosper_in_Zeilberger2900079
Ref: trivial_solutions2900331
Node: Variables related to the modular test2900554
Ref: mod_test2900743
Ref: modular_linear_solver2900918
Ref: ev_point2901093
Ref: mod_big_prime2901283
Ref: mod_threshold2901438
Node: Error and warning messages2901601
Node: Error Messages2901955
Node: No such list element2902572
Node: argument must be a non-atomic expression2902972
Node: cannot assign to function2903867
Node: 0 to a negative exponent2904238
Node: Comma is not a prefix operator2904554
Node: Illegal use of delimiter2904928
Node: loadfile failed to load2905326
Node: makelist second argument must evaluate to a number2906332
Node: Only symbols can be bound2906854
Node: Operators of arguments must all be the same2907266
Node: out of memory2908108
Node: part fell off the end2909283
Node: undefined variable during plotting2909572
Node: VTK is not installed2910710
Node: Warning Messages2911296
Node: undefined variable during translation2911517
Node: replaced x by y2912153
Node: Command-line options2912654
Ref: command_line_options2912836
Node: Function and Variable Index2915801

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