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: 1006577
maxima.info-3: 2000631

Tag Table:
(Indirect)
Node: Top265
Node: Introduction to Maxima18606
Node: Bug Detection and Reporting25414
Node: Functions and Variables for Bug Detection and Reporting25656
Ref: bug_report25896
Ref: build_info26335
Ref: run_testsuite28751
Ref: testsuite_files31220
Node: Help32067
Node: Documentation32248
Node: Functions and Variables for Help33507
Ref: apropos33677
Ref: demo35460
Ref: describe36697
Ref: output_format_for_help39817
Ref: browser40620
Ref: url_base41581
Ref: example42508
Ref: manual_demo43945
Node: Command Line44155
Node: Introduction to Command Line44413
Node: Functions and Variables for Command Line44811
Ref: __45072
Ref: _46881
Ref: %48400
Ref: %%49028
Ref: %th50680
Ref: ?51885
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Ref: read67772
Ref: readonly68342
Ref: reset69028
Ref: showtime69509
Ref: to_lisp69883
Ref: eval_string_lisp70993
Ref: values71699
Node: Functions and Variables for Display72804
Ref: %edispflag73018
Ref: absboxchar73646
Ref: declare_index_properties74104
Ref: get_index_properties77712
Ref: remove_index_properties77889
Ref: display_index_separator78183
Ref: disp83435
Ref: display84127
Ref: display2d85011
Ref: display_format_internal86788
Ref: with_default_2d_display87498
Ref: display2d_unicode87947
Ref: dispterms88774
Ref: expt89763
Ref: ncexpt89763
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Ref: lispdisp101038
Ref: negsumdispflag101571
Ref: obase101988
Ref: pfeformat103175
Ref: powerdisp104016
Ref: print104825
Ref: sqrtdispflag106204
Ref: stardisp106369
Ref: ttyoff106549
Node: Data Types and Structures106919
Node: Numbers107166
Node: Introduction to Numbers107388
Node: Functions and Variables for Numbers108152
Ref: bfloat108348
Ref: bfloatp110519
Ref: bftorat110631
Ref: bftrunc111774
Ref: bigfloat_bits112085
Ref: bigfloat_eps112577
Ref: decode_float113105
Ref: evenp114654
Ref: float114879
Ref: float2bf115151
Ref: float_bits115377
Ref: float_eps115479
Ref: float_precision115612
Ref: float_sign116063
Ref: float_infinity_p117089
Ref: float_nan_p118066
Ref: floatnump118847
Ref: fpprec118972
Ref: fpprintprec119255
Ref: integerp120333
Ref: integer_decode_float121283
Ref: is_power_of_two123803
Ref: m1pbranch125343
Ref: nonnegintegerp125952
Ref: numberp126065
Ref: numer127284
Ref: numer_pbranch128007
Ref: numerval129157
Ref: oddp129634
Ref: ratepsilon129855
Ref: rationalize130143
Ref: ratnump131620
Ref: scale_float131766
Ref: unit_in_last_place133177
Node: Strings135208
Node: Introduction to Strings135414
Node: Functions and Variables for Strings137537
Ref: concat137733
Ref: sconcat139218
Ref: string139874
Ref: stringdisp140181
Node: Constants140967
Node: Functions and Variables for Constants141149
Ref: %catalan141339
Ref: %e142023
Ref: %i142392
Ref: false142467
Ref: %gamma142624
Ref: ind143219
Ref: inf143424
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Ref: least_negative_float143568
Ref: least_negative_normalized_float143935
Ref: least_positive_float144165
Ref: least_positive_normalized_float144531
Ref: minf144760
Ref: most_negative_float144846
Ref: most_positive_float144978
Ref: %phi145110
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Node: Lists148874
Node: Introduction to Lists149110
Node: Functions and Variables for Lists149979
Ref: [150210
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Ref: assoc152135
Ref: cons153758
Ref: copylist155245
Ref: create_list155319
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Ref: listarith170796
Ref: lreduce171248
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Ref: push176398
Ref: rest177696
Ref: reverse178864
Ref: rreduce179113
Ref: second180601
Ref: seventh180729
Ref: sixth180858
Ref: sort180985
Ref: sublist187061
Ref: sublist_indices187391
Ref: tenth188489
Ref: third188617
Ref: tree_reduce188744
Ref: unique190106
Ref: xreduce190493
Node: Performance considerations for Lists192242
Node: Arrays194509
Ref: hashed array194674
Ref: hashed arrays194674
Ref: undeclared array194674
Ref: undeclared arrays194674
Node: Functions and Variables for Arrays195886
Ref: array196061
Ref: arrayapply196905
Ref: arrayinfo197176
Ref: arraymake201698
Ref: arrays203503
Ref: arraysetapply204692
Ref: fillarray204918
Ref: listarray207097
Ref: make_array210894
Ref: rearray213076
Ref: remarray213458
Ref: subvar214041
Ref: subvarp214781
Ref: use_fast_arrays214904
Ref: translate_fast_arrays215610
Node: Structures216086
Node: Introduction to Structures216288
Node: Functions and Variables for Structures217959
Ref: structures218170
Ref: defstruct218298
Ref: new219879
Node: Expressions222303
Node: Introduction to Expressions222572
Node: Nouns and Verbs224167
Node: Identifiers226598
Node: Inequality228894
Node: Functions and Variables for Expressions229213
Ref: alias229408
Ref: aliases229637
Ref: allbut229910
Ref: args230950
Ref: atom232120
Ref: box232398
Ref: boxchar234575
Ref: collapse234996
Ref: copy235559
Ref: disolate236383
Ref: dispform236895
Ref: dpart238829
Ref: exptisolate239440
Ref: exptsubst239660
Ref: freeof240377
Ref: inflag244273
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Ref: isolate246403
Ref: isolate_wrt_times247314
Ref: listconstvars248104
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Ref: lpart250428
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Ref: op253034
Ref: operatorp254820
Ref: option_opsubst255261
Ref: optimize256143
Ref: optimprefix256524
Ref: ordergreat256687
Ref: orderless256687
Ref: ordergreatp257525
Ref: orderlessp257525
Ref: part261364
Ref: partition262889
Ref: partswitch263476
Ref: pickapart263706
Ref: piece266705
Ref: psubst266920
Ref: rembox267793
Ref: reveal270308
Ref: sqrtdenest272888
Ref: sublis273762
Ref: sublis_apply_lambda274239
Ref: subnumsimp274529
Ref: subst275142
Ref: substinpart278642
Ref: substpart281109
Ref: symbolp282302
Ref: unorder282436
Ref: verbify283881
Node: Operators284272
Node: Introduction to operators284577
Node: Arithmetic operators288848
Ref: +289028
Ref: -289028
Ref: *289028
Ref: /289028
Ref: ^289028
Ref: **296145
Ref: ^^296946
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Ref: >=298364
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Node: Logical operators301038
Ref: and301207
Ref: not302280
Ref: or302872
Node: Operators for Equations303934
Ref: #304115
Ref: =304892
Node: Assignment operators309146
Ref: :309326
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Ref: ::=312903
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Node: User defined operators321791
Ref: infix321943
Ref: matchfix326249
Ref: function_nary330966
Ref: nofix331581
Ref: postfix332150
Ref: prefix332641
Node: Evaluation333045
Node: Functions and Variables for Evaluation333216
Ref: quote333407
Ref: quote-quote338079
Ref: ev343584
Ref: eval352616
Ref: evflag353174
Ref: evfun355745
Ref: infeval358674
Ref: noeval359059
Ref: nouns359285
Ref: pred359599
Node: Simplification359974
Node: Introduction to Simplification360203
Node: Functions and Variables for Simplification370560
Ref: additive370787
Ref: antisymmetric371746
Ref: combine372803
Ref: commutative373389
Ref: demoivre374146
Ref: function_distrib374873
Ref: distribute_over375782
Ref: domain378059
Ref: evenfun378254
Ref: oddfun378254
Ref: expand378940
Ref: expandwrt383273
Ref: expandwert_denom383853
Ref: expandwrt_factored384275
Ref: expon384635
Ref: exponentialize384928
Ref: expop385530
Ref: lassociative385992
Ref: linear386248
Ref: maxnegex387976
Ref: maxposex388168
Ref: multiplicative388353
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Ref: opproperties394189
Ref: define_opproperty394654
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Ref: resimplify399997
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Ref: symmetric403184
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Node: Elementary Functions404672
Node: Functions for Numbers405022
Ref: abs405193
Ref: ceiling408611
Ref: entier412372
Ref: floor412588
Ref: fix414524
Ref: hstep414589
Ref: lmax414884
Ref: lmin415080
Ref: max415276
Ref: min417093
Ref: round418903
Ref: signum419242
Ref: truncate420031
Node: Functions for Complex Numbers420357
Ref: cabs420576
Ref: carg424530
Ref: conjugate426463
Ref: imagpart426985
Ref: polarform427589
Ref: realpart428263
Ref: rectform428847
Node: Combinatorial Functions429306
Ref: !!429534
Ref: binomial430281
Ref: factcomb431286
Ref: !432224
Ref: factorial432224
Ref: factlim435879
Ref: factorial_expand436071
Ref: genfact436323
Ref: minfactorial436566
Ref: sumsplitfact437113
Node: Root Exponential and Logarithmic Functions438127
Ref: %e_to_numlog438389
Ref: %emode438830
Ref: %enumer440484
Ref: exp441570
Ref: li442584
Ref: log446137
Ref: logabs447682
Ref: logarc448434
Ref: logconcoeffp448675
Ref: logcontract449112
Ref: logexpand450149
Ref: lognegint453401
Ref: logsimp453573
Ref: plog453738
Ref: sqrt453885
Node: Trigonometric Functions454047
Node: Introduction to Trigonometric454350
Node: Functions and Variables for Trigonometric455480
Node: Trigonometric and Hyperbolic Functions455881
Ref: acos456187
Ref: acosh456388
Ref: acot456601
Ref: acoth456805
Ref: acsc457021
Ref: acsch457224
Ref: asec457439
Ref: asech457640
Ref: asin457853
Ref: asinh458052
Ref: atan458263
Ref: atan2458493
Ref: atanh458938
Ref: cos459152
Ref: cosh459348
Ref: cot459556
Ref: coth459755
Ref: csc459966
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Ref: sec460374
Ref: sech460570
Ref: sin460778
Ref: sinh460972
Ref: tan461178
Ref: tanh461375
Node: Options Controlling Simplification461584
Ref: %piargs461882
Ref: %iargs463868
Ref: halfangles464912
Ref: trigsign466810
Node: Explicit Simplifications Using Identities467084
Ref: trigexpand467378
Ref: trigexpandplus468840
Ref: trigexpandtimes469196
Ref: triginverses469562
Ref: trigreduce470089
Ref: trigsimp470719
Ref: trigrat471132
Node: Additional Functions474006
Ref: atrig1474215
Ref: ntrig474612
Node: Random Numbers474922
Ref: make_random_state475066
Ref: set_random_state475841
Ref: random475990
Node: Maxima's Database477655
Node: Introduction to Maxima's Database477973
Node: Functions and Variables for Properties478212
Ref: alphabetic478477
Ref: bindtest479131
Ref: constant479711
Ref: constantp480287
Ref: declare481575
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Ref: decreasing486909
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Ref: even487524
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Ref: printprops493789
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Ref: equal520476
Ref: notequal524868
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Ref: zeroequiv525965
Node: Plotting527177
Node: Introduction to Plotting527483
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Ref: gnuplot_command535881
Ref: gnuplot_file_args536476
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Ref: julia538552
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Ref: polar_to_xy542588
Ref: plot2d542907
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Ref: spherical_to_xyz558164
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Node: Functions and Variables for Fortran Output641165
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Node: Polynomials644503
Node: Introduction to Polynomials644821
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Ref: content653803
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Ref: factor_max_degree_print_warning666444
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Ref: fasttimes668540
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Ref: gcd673137
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Ref: gfactor677604
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Ref: modulus682831
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Ref: quotient690142
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Ref: showratvars715286
Ref: sqfr715457
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Ref: untelltat718995
Node: Introduction to algebraic extensions719103
Node: Functions and Variables for algebraic extensions722599
Ref: algfac722849
Ref: algnorm723508
Ref: algtrace724045
Ref: bdiscr724418
Ref: primelmt725095
Ref: splitfield727473
Node: Special Functions729442
Node: Introduction to Special Functions729889
Node: Bessel Functions732082
Ref: bessel_j732262
Ref: bessel_y733109
Ref: bessel_i733858
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Node: Airy Functions742037
Ref: airy_ai743026
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Ref: airy_bi743415
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Node: Gamma and Factorial Functions743802
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Ref: cbffac745721
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Ref: gamma_incomplete750402
Ref: gamma_incomplete_regularized751204
Ref: gamma_incomplete_generalized751807
Ref: gamma_expand752492
Ref: gammalim754197
Ref: makegamma754613
Ref: beta755312
Ref: beta_incomplete_regularized766072
Ref: beta_expand776058
Ref: polygamma776558
Ref: maxpsiposint778474
Ref: maxpsinegint779315
Ref: maxpsifracnum780738
Ref: maxpsifracdenom781810
Ref: makefact782892
Node: Exponential Integrals784122
Ref: expintegral_e1784505
Ref: expintegral_e785652
Ref: expintegral_si786043
Ref: expintegral_ci786382
Ref: expintegral_shi786776
Ref: expintegral_chi787120
Ref: expintrep787517
Ref: expintexpand798035
Node: Error Function799175
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Ref: erfi800306
Ref: erf_generalized800392
Ref: fresnel_c800653
Ref: fresnel_s801200
Ref: erf_representation801742
Ref: hypergeometric_representation806155
Node: Struve Functions808909
Ref: struve_h809543
Ref: struve_l810064
Node: Hypergeometric Functions810540
Ref: hgfred815092
Node: Parabolic Cylinder Functions817295
Ref: parabolic_cylinder_d817821
Node: Functions and Variables for Special Functions818402
Ref: kbateman819218
Node: Elliptic Functions819831
Node: Introduction to Elliptic Functions and Integrals820140
Node: Functions and Variables for Elliptic Functions824455
Ref: jacobi_sn824915
Ref: jacobi_cn824996
Ref: jacobi_dn825077
Ref: jacobi_ns825158
Ref: jacobi_sc825251
Ref: jacobi_sd825350
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Ref: jacobi_cd825641
Ref: jacobi_nd825740
Ref: jacobi_ds825833
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Ref: inverse_jacobi_dn827417
Ref: inverse_jacobi_ns828030
Ref: inverse_jacobi_sc828639
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Node: Functions and Variables for Elliptic Integrals833504
Ref: elliptic_f833765
Ref: elliptic_e833982
Ref: elliptic_eu834219
Ref: elliptic_pi834596
Ref: elliptic_kc834775
Ref: elliptic_ec835065
Ref: carlson_rc835354
Ref: carlson_rd836245
Ref: carlson_rf836879
Ref: carlson_rj837485
Node: Limits838678
Node: Functions and Variables for Limits838845
Ref: lhospitallim839018
Ref: limit839264
Ref: limsubst841413
Ref: tlimit841700
Ref: tlimswitch841952
Ref: gruntz842449
Node: Differentiation843856
Node: Functions and Variables for Differentiation844043
Ref: antid844261
Ref: antidiff846715
Ref: at849003
Ref: atomgrad852125
Ref: atvalue852269
Ref: del854916
Ref: delta855676
Ref: dependencies856039
Ref: depends857762
Ref: derivabbrev860490
Ref: derivdegree860763
Ref: derivlist861379
Ref: derivsubst861538
Ref: diff861762
Ref: symbol_diff865213
Ref: express865379
Ref: gradef868144
Ref: gradefs870216
Node: Integration870515
Node: Introduction to Integration870795
Node: Functions and Variables for Integration871811
Ref: changevar872058
Ref: dblint874398
Ref: defint876939
Ref: erfflag877518
Ref: ilt877756
Ref: intanalysis880085
Ref: integrate881223
Ref: integration_constant889947
Ref: integration_constant_counter890827
Ref: integrate_use_rootsof892189
Ref: laplace894446
Ref: ldefint898681
Ref: pwilt899430
Ref: potential900364
Ref: prefer_d900924
Ref: residue901944
Ref: risch902625
Ref: specint903668
Ref: tldefint908132
Node: Introduction to QUADPACK908255
Ref: Introduction to QUADPACK-Footnote-1912032
Ref: Introduction to QUADPACK-Footnote-2912098
Ref: Introduction to QUADPACK-Footnote-3912164
Ref: Introduction to QUADPACK-Footnote-4912208
Ref: Introduction to QUADPACK-Footnote-5912270
Ref: Introduction to QUADPACK-Footnote-6912310
Ref: Introduction to QUADPACK-Footnote-7912352
Node: Functions and Variables for QUADPACK912537
Ref: quad_qag912739
Ref: quad_qags915538
Ref: quad_qagi917775
Ref: quad_qawc920310
Ref: quad_qawf923735
Ref: quad_qawo926448
Ref: quad_qaws929447
Ref: quad_qagp932242
Ref: quad_control935118
Node: Equations935732
Node: Functions and Variables for Equations935964
Ref: %rnum936152
Ref: %rnum_list936424
Ref: algepsilon937502
Ref: algexact937608
Ref: algsys938245
Ref: allroots943145
Ref: bfallroots945560
Ref: backsubst945979
Ref: breakup946713
Ref: dimension950023
Ref: dispflag950283
Ref: funcsolve950610
Ref: globalsolve951572
Ref: ieqn953246
Ref: ieqnprint957368
Ref: lhs958080
Ref: linsolve959731
Ref: linsolvewarn962938
Ref: linsolve_params963120
Ref: multiplicities963515
Ref: nroots963733
Ref: nthroot964151
Ref: polyfactor964508
Ref: programmode964864
Ref: realonly965372
Ref: realroots965551
Ref: rhs967782
Ref: rootsconmode969427
Ref: rootscontract969617
Ref: rootsepsilon972373
Ref: solve972577
Ref: solvedecomposes979917
Ref: solveexplicit980105
Ref: solvefactors980363
Ref: solvenullwarn980624
Ref: solveradcan980945
Ref: solvetrigwarn981212
Node: Examples for algsys981476
Node: References for equations1006577
Ref: beyer1006743
Ref: allgower1006977
Node: Differential Equations1007270
Node: Introduction to Differential Equations1007529
Node: Functions and Variables for Differential Equations1008156
Ref: bc21008425
Ref: desolve1009049
Ref: ic11011180
Ref: ic21011634
Ref: ode21012274
Ref: method1016588
Ref: %c1016710
Ref: %k11016839
Ref: %k21016977
Ref: yp1017116
Node: Numerical1017261
Node: Introduction to fast Fourier transform1017731
Node: Functions and Variables for fast Fourier transform1018316
Ref: polartorect1018579
Ref: recttopolar1019217
Ref: inverse_fft1019935
Ref: fft1022585
Ref: real_fft1027213
Ref: inverse_real_fft1027994
Ref: bf_inverse_fft1028367
Ref: bf_fft1028591
Ref: bf_real_fft1028799
Ref: bf_inverse_real_fft1028993
Node: Functions and Variables for FFTPACK51029186
Ref: fftpack5_fft1029898
Ref: fftpack5_inverse_fft1032196
Ref: fftpack5_real_fft1032366
Ref: fftpack5_inverse_real_fft1033226
Node: Functions for numerical solution of equations1033662
Ref: horner1033970
Ref: find_root1035118
Ref: bf_find_root1035118
Ref: find_root_error1035118
Ref: find_root_abs1035118
Ref: find_root_rel1035118
Ref: newton1039302
Node: Introduction to numerical solution of differential equations1040639
Node: Functions for numerical solution of differential equations1041956
Ref: plotdf1042258
Ref: rk1052782
Node: Matrices and Linear Algebra1056316
Node: Introduction to Matrices and Linear Algebra1056605
Node: Dot1056964
Node: Matrices1058512
Node: Vectors1060013
Node: eigen1061149
Node: Functions and Variables for Matrices and Linear Algebra1062002
Ref: addcol1062296
Ref: addrow1062494
Ref: adjoint1062689
Ref: augcoefmatrix1062840
Ref: cauchy_matrix1063504
Ref: charpoly1064914
Ref: coefmatrix1066548
Ref: col1066996
Ref: columnvector1069411
Ref: covect1069411
Ref: copymatrix1070375
Ref: determinant1070845
Ref: detout1071208
Ref: diagmatrix1072210
Ref: doallmxops1072711
Ref: domxexpt1072998
Ref: domxmxops1074319
Ref: domxnctimes1074597
Ref: dontfactor1074766
Ref: doscmxops1075209
Ref: doscmxplus1075362
Ref: dot0nscsimp1075576
Ref: dot0simp1075785
Ref: dot1simp1075985
Ref: dotassoc1076183
Ref: dotconstrules1076348
Ref: dotdistrib1076678
Ref: dotexptsimp1076852
Ref: dotident1077016
Ref: dotscrules1077127
Ref: echelon1077353
Ref: eigenvalues1078825
Ref: eivals1078825
Ref: eigenvectors1080594
Ref: eivects1080594
Ref: ematrix1085580
Ref: entermatrix1085755
Ref: genmatrix1087137
Ref: gramschmidt1089932
Ref: ident1092470
Ref: innerproduct1092542
Ref: inprod1092542
Ref: invert_by_adjoint1093025
Ref: invert1093269
Ref: list_matrix_entries1094435
Ref: lmxchar1094663
Ref: matrix1095303
Ref: matrixexp1101509
Ref: matrixmap1101940
Ref: matrixp1102126
Ref: matrix_element_add1102229
Ref: matrix_element_mult1103553
Ref: matrix_element_transpose1105547
Ref: mattrace1107803
Ref: minor1108092
Ref: ncharpoly1108237
Ref: newdet1109056
Ref: permanent1109231
Ref: rank1109505
Ref: ratmx1109782
Ref: row1110397
Ref: rmxchar1112040
Ref: scalarmatrixp1112290
Ref: scalefactors1112775
Ref: setelmx1113862
Ref: similaritytransform1114099
Ref: simtran1114099
Ref: sparse1115381
Ref: submatrix1115609
Ref: transpose1115923
Ref: triangularize1116329
Ref: uniteigenvectors1117395
Ref: ueivects1117395
Ref: unitvector1118734
Ref: uvect1118734
Ref: vectorpotential1118979
Ref: vectorsimp1119311
Ref: vect_cross1120798
Ref: zeromatrix1121028
Node: Package affine1121133
Node: Introduction to Affine1121360
Node: Functions and Variables for Affine1121619
Ref: fast_linsolve1121816
Ref: grobner_basis1122500
Ref: set_up_dot_simplifications1123100
Ref: declare_weights1124022
Ref: nc_degree1124273
Ref: dotsimp1124445
Ref: fast_central_elements1124697
Ref: check_overlaps1125118
Ref: mono1125770
Ref: monomial_dimensions1126016
Ref: extract_linear_equations1126186
Ref: list_nc_monomials1126582
Ref: all_dotsimp_denoms1126880
Node: Package itensor1127250
Node: Introduction to itensor1127469
Node: Functions and Variables for itensor1140364
Ref: dispcon1140631
Ref: entertensor1140907
Ref: changename1141228
Ref: listoftens1141613
Ref: ishow1142149
Ref: indices1142492
Ref: rename1143502
Ref: flipflag1146726
Ref: defcon1147351
Ref: remcon1148392
Ref: contract_Itensor1148659
Ref: indexed_tensor1149172
Ref: components1149423
Ref: remcomps1153610
Ref: showcomps1153745
Ref: idummy1156184
Ref: idummyx1156503
Ref: icounter1156638
Ref: kdelta1156887
Ref: kdels1157713
Ref: levi_civita1158576
Ref: lc2kdt1158832
Ref: lc_l1162299
Ref: lc_u1163385
Ref: canten1163691
Ref: concan1164296
Ref: allsym1164444
Ref: decsym1164822
Ref: remsym1167398
Ref: dispsym1167560
Ref: canform1167769
Ref: itensor_diff1168816
Ref: idiff1170233
Ref: liediff1170986
Ref: rediff1171786
Ref: undiff1171915
Ref: evundiff1172414
Ref: flush1174814
Ref: flushd1174974
Ref: flushnd1175132
Ref: coord1175855
Ref: remcoord1176267
Ref: makebox1176572
Ref: conmetderiv1176842
Ref: simpmetderiv1177720
Ref: flush1deriv1180872
Ref: imetric1181094
Ref: idim1181500
Ref: ichr11181674
Ref: ichr21182038
Ref: icurvature1182326
Ref: covdiff1182905
Ref: lorentz1184849
Ref: igeodesic_coords1185049
Ref: iframes1190398
Ref: ifb1190610
Ref: icc11191626
Ref: icc21192267
Ref: ifc11192947
Ref: ifc21193387
Ref: ifr1193794
Ref: ifri1193932
Ref: ifg1194127
Ref: ifgi1194245
Ref: iframe_bracket_form1194364
Ref: inm1194843
Ref: inmc11195188
Ref: inmc21195563
Ref: ikt11196117
Ref: ikt21196563
Ref: itr1196844
Ref: ~1201435
Ref: |1203013
Ref: extdiff1204416
Ref: hodge1205903
Ref: igeowedge_flag1207403
Ref: tentex1208236
Ref: ic_convert1209744
Node: Package ctensor1212560
Node: Introduction to ctensor1212780
Node: Functions and Variables for ctensor1217245
Ref: csetup1217512
Ref: cmetric1217731
Ref: ct1218710
Ref: init1225015
Ref: christof1226424
Ref: ricci1227371
Ref: uricci1227657
Ref: scurvature1228218
Ref: einstein1228379
Ref: leinstein1229014
Ref: riemann1229434
Ref: lriemann1230741
Ref: uriemann1231236
Ref: rinvariant1231438
Ref: weyl1231689
Ref: ctaylor1232794
Ref: frame1238345
Ref: nptetrad1238955
Ref: psi1239669
Ref: petrov1240987
Ref: contortion1246423
Ref: nonmetricity1246541
Ref: ctransform1246728
Ref: findde1247129
Ref: cograd1249487
Ref: contragrad1249689
Ref: ctensor_dscalar1250827
Ref: checkdiv1251730
Ref: cgeodesic1252185
Ref: bdvac1252494
Ref: invariant11252898
Ref: invariant21253108
Ref: bimetric1253374
Ref: diagmatrixp1253626
Ref: symmetricp1253776
Ref: ntermst1254124
Ref: cdisplay1254494
Ref: deleten1268042
Ref: dim1268231
Ref: diagmetric1268497
Ref: ctrgsimp1268976
Ref: cframe_flag1269177
Ref: ctorsion_flag1269625
Ref: cnonmet_flag1269874
Ref: ctayswitch1270165
Ref: ctayvar1270448
Ref: ctaypov1270573
Ref: ctaypt1270704
Ref: gdet1270846
Ref: ratchristof1271004
Ref: rateinstein1271108
Ref: ratriemann1271366
Ref: ratweyl1271660
Ref: lfg1271937
Ref: ufg1272135
Ref: riem1272290
Ref: lriem1272599
Ref: uriem1272685
Ref: ric1272775
Ref: uric1272854
Ref: lg1272937
Ref: ug1273097
Ref: weyl_variable1273183
Ref: fb1273251
Ref: kinvariant1273339
Ref: np1273429
Ref: npi1273512
Ref: tr1274156
Ref: kt1274262
Ref: nm1274353
Ref: nmc1274441
Ref: tensorkill1274548
Ref: ct_coords1274715
Node: Package atensor1278152
Node: Introduction to atensor1278381
Node: Functions and Variables for atensor1282453
Ref: init_atensor1282655
Ref: atensimp1285311
Ref: alg_type1285735
Ref: adim1285912
Ref: aform1286125
Ref: asymbol1286316
Ref: sf1286402
Ref: af1286697
Ref: av1286998
Ref: abasep1288031
Node: Sums Products and Series1288299
Node: Functions and Variables for Sums and Products1288725
Ref: bashindices1288998
Ref: lsum1289443
Ref: intosum1290134
Ref: simpproduct1290657
Ref: product1291083
Ref: simpsum1293645
Ref: sum1294048
Ref: sumcontract1299008
Ref: sumexpand1299609
Node: Introduction to Series1300572
Node: Functions and Variables for Series1301159
Ref: cauchysum1301405
Ref: deftaylor1302710
Ref: maxtayorder1304064
Ref: niceindices1304319
Ref: niceindicespref1305790
Ref: nusum1306848
Ref: pade1309012
Ref: powerseries1312102
Ref: psexpand1314044
Ref: revert1314529
Ref: taylor1316414
Ref: taylordepth1324475
Ref: taylorinfo1324740
Ref: taylorp1325642
Ref: taylor_logexpand1325756
Ref: taylor_order_coefficients1326389
Ref: taylor_simplifier1326687
Ref: taylor_truncate_polynomials1326827
Ref: taytorat1327138
Ref: trunc1327342
Ref: unsum1327915
Ref: verbose1329139
Node: Introduction to Fourier series1329285
Node: Functions and Variables for Fourier series1329781
Ref: equalp1330071
Ref: remfun1330261
Ref: funp1330608
Ref: absint1330966
Ref: fourier1331628
Ref: foursimp1331778
Ref: sinnpiflag1331960
Ref: cosnpiflag1332050
Ref: fourexpand1332140
Ref: fourcos1332395
Ref: foursin1332531
Ref: totalfourier1332665
Ref: fourint1332799
Ref: fourintcos1332959
Ref: forintsin1333094
Node: Functions and Variables for Poisson series1333227
Ref: intopois1333478
Ref: outopois1333551
Ref: poisdiff1333918
Ref: poisexpt1334076
Ref: poisint1334207
Ref: poislim1334392
Ref: poismap1334692
Ref: poisplus1335010
Ref: poissimp1335104
Ref: poisson1335215
Ref: poissubst1335330
Ref: poistimes1336253
Ref: poistrim1336350
Ref: printpois1336737
Node: Number Theory1336928
Node: Functions and Variables for Number Theory1337125
Ref: bern1337333
Ref: bernpoly1338103
Ref: bfzeta1338205
Ref: bfhzeta1338402
Ref: burn1339016
Ref: solve_congruences1339959
Ref: cf1340963
Ref: cfdisrep1343963
Ref: cfexpand1344656
Ref: cflength1345297
Ref: divsum1345924
Ref: euler1346496
Ref: factors_only1347031
Ref: fib1347434
Ref: fibtophi1347777
Ref: ifactors1348981
Ref: igcdex1350235
Ref: inrt1350935
Ref: inv_mod1351225
Ref: isqrt1351636
Ref: jacobi1351759
Ref: lcm1352016
Ref: lucas1352236
Ref: mod1352652
Ref: next_prime1353943
Ref: partfrac1354099
Ref: power_mod1355428
Ref: primep1355977
Ref: primep_number_of_tests1356791
Ref: primes1356918
Ref: prev_time1357094
Ref: qunit1357251
Ref: totient1357675
Ref: zeta1358063
Ref: zeta%pi1359489
Ref: zn_add_table1360128
Ref: zn_characteristic_factors1360279
Ref: zn_carmichael_lambda1363888
Ref: zn_determinant1364115
Ref: zn_factor_generators1365214
Ref: zn_invert_by_lu1365446
Ref: zn_log1366472
Ref: zn_mult_table1369712
Ref: zn_nth_root1375167
Ref: zn_order1380022
Ref: zn_power_table1382273
Ref: zn_primroot1387168
Ref: zn_primroot_limit1389736
Ref: zn_primroot_p1390071
Ref: zn_primroot_pretest1391913
Ref: zn_primroot_verbose1392449
Node: Package sym1392625
Node: Introduction to Symmetries1392828
Node: Functions and Variables for Symmetries1394378
Ref: comp2pui1394633
Ref: ele2pui1395232
Ref: ele2comp1395453
Ref: elem1395674
Ref: mon2schur1397131
Ref: multi1398282
Ref: multi_pui1399016
Ref: pui1399476
Ref: pui2comp1400827
Ref: pui2ele1402098
Ref: puireduc1402504
Ref: schur2comp1403191
Ref: cont2part1403919
Ref: contract1404361
Ref: explose1405206
Ref: part2cont1405470
Ref: partpol1405824
Ref: tcontract1406109
Ref: tpartpol1406326
Ref: direct1406595
Ref: multi_orbit1410326
Ref: multsym1411003
Ref: orbit1411869
Ref: pui_direct1412422
Ref: kostka1414680
Ref: lgtreillis1414926
Ref: ltreillis1415182
Ref: treillis1415468
Ref: treinat1415707
Ref: ele2polynome1416341
Ref: polynome2ele1417174
Ref: prodrac1417771
Ref: pui2polynome1418025
Ref: somrac1418691
Ref: resolvante1418985
Ref: resolvante_alternee11426412
Ref: resolvante_bipartite1426820
Ref: resolvante_diedrale1427415
Ref: resolvante_klein1428141
Ref: resolvante_klein31428502
Ref: resolvante_produit_sym1428863
Ref: resolvante_unitaire1429968
Ref: resolvante_vierer1430327
Ref: multinomial1430729
Ref: permut1431007
Node: Groups1431090
Node: Functions and Variables for Groups1431254
Ref: todd_coxeter1431427
Node: Runtime Environment1433216
Node: Introduction for Runtime Environment1433485
Node: Interrupts1436475
Node: Functions and Variables for Runtime Environment1437606
Ref: maxima_tempdir1437835
Ref: maxima_userdir1438306
Ref: room1439035
Ref: sstatus1439458
Ref: status1439940
Ref: system1440993
Ref: time1444228
Ref: timedate1444740
Ref: parse_timedate1446709
Ref: encode_time1450431
Ref: decode_time1452959
Ref: absolute_real_time1454705
Ref: elapsed_real_time1455143
Ref: elapsed_run_time1455650
Node: Miscellaneous Options1456210
Node: Introduction to Miscellaneous Options1456493
Node: Share1456904
Node: Functions and Variables for Miscellaneous Options1457425
Ref: askexp1457657
Ref: genindex1457902
Ref: gensumnum1458076
Ref: gensym1458337
Ref: packagefile1459308
Ref: remvalue1460050
Ref: rncombine1460495
Ref: setup_autoload1461216
Ref: tcl_output1462621
Node: Rules and Patterns1463859
Node: Introduction to Rules and Patterns1464105
Node: Functions and Variables for Rules and Patterns1465204
Ref: apply11465453
Ref: apply21466125
Ref: applyb11466680
Ref: current_let_rule_package1467419
Ref: default_let_rule_package1468026
Ref: defmatch1468326
Ref: defrule1472983
Ref: disprule1473695
Ref: let1475118
Ref: letrat1479544
Ref: letrules1480396
Ref: letsimp1480966
Ref: let_rule_packages1483287
Ref: matchdeclare1483520
Ref: maxapplydepth1491558
Ref: maxapplyheight1491723
Ref: remlet1491892
Ref: remrule1492898
Ref: tellsimp1494968
Ref: tellsimpafter1497432
Ref: clear_rules1506779
Node: Sets1506964
Node: Introduction to Sets1507152
Node: Functions and Variables for Sets1514521
Ref: adjoin1514700
Ref: belln1515205
Ref: cardinality1516212
Ref: cartesian_product1516748
Ref: cartesian_product_list1517515
Ref: disjoin1521267
Ref: disjointp1521969
Ref: divisors1522362
Ref: elementp1523964
Ref: emptyp1524360
Ref: equiv_classes1524681
Ref: every1526070
Ref: extremal_subset1529053
Ref: flatten1529835
Ref: full_listify1532462
Ref: fullsetify1533004
Ref: identity1533613
Ref: integer_partitions1533893
Ref: intersect1535784
Ref: intersection1535897
Ref: listify1537749
Ref: makeset1538170
Ref: moebius1539780
Ref: multinomial_coeff1541006
Ref: num_distinct_partitions1542325
Ref: num_partitions1543203
Ref: partition_set1544139
Ref: permutations1544906
Ref: powerset1545481
Ref: random_permutation1546598
Ref: setdifference1547395
Ref: setequalp1548267
Ref: setify1548923
Ref: setp1549511
Ref: set_partitions1550073
Ref: some1551737
Ref: stirling11554815
Ref: stirling21556153
Ref: subset1557619
Ref: subsetp1558250
Ref: symmdifference1558651
Ref: union1559698
Node: Function Definition1560682
Node: Introduction to Function Definition1560948
Node: Function1561167
Ref: memoizing function1564633
Ref: memoizing functions1564633
Ref: Memoizing function1564633
Ref: Memoizing functions1564633
Node: Macros1567587
Ref: buildq1567747
Ref: macroexpand1572120
Ref: macroexpand11573370
Ref: macros1574532
Ref: splice1574883
Node: Functions and Variables for Function Definition1576581
Ref: apply1576806
Ref: block1580659
Ref: break1583991
Ref: catch1584244
Ref: compfile1585407
Ref: compile1586220
Ref: define1587797
Ref: define_variable1592016
Ref: dispfun1596313
Ref: fullmap1600142
Ref: fullmapl1600823
Ref: functions1601095
Ref: fundef1602964
Ref: funmake1603983
Ref: lambda1607211
Ref: local1613263
Ref: macroexpansion1614665
Ref: mode_declare1620843
Ref: modedeclare1620843
Ref: mode_checkp1624588
Ref: mode_check_errorp1625701
Ref: mode_check_warnp1625855
Ref: mode_identity1626001
Ref: remfunction1627529
Ref: savedef1628312
Ref: translate1628735
Ref: translate_file1631199
Ref: transrun1633794
Ref: tr_array_as_ref1634038
Ref: tr_bound_function_applyp1634506
Ref: tr_file_tty_messagesp1635602
Ref: tr_float_can_branch_complex1635986
Ref: tr_function_call_default1636557
Ref: tr_numer1637299
Ref: tr_optimize_max_loop1637484
Ref: tr_state_vars1637810
Ref: tr_warnings_get1638340
Ref: tr_warn_fexpr1638725
Ref: tr_warn_meval1638972
Ref: tr_warn_mode1639183
Ref: tr_warn_undeclared1639342
Ref: tr_warn_undefined_variable1639502
Ref: compile_file1639647
Ref: declare_translated1640994
Node: Program Flow1641620
Node: Lisp and Maxima1641882
Node: Garbage Collection1646140
Ref: garbage_collect1646678
Node: Introduction to Program Flow1647071
Node: Functions and Variables for Program Flow1647396
Ref: backtrace1647615
Ref: do1649269
Ref: while1649269
Ref: unless1649269
Ref: for1649269
Ref: from1649269
Ref: thru1649269
Ref: step1649269
Ref: next1649269
Ref: in1649269
Ref: errcatch1658642
Ref: error1659202
Ref: warning1659841
Ref: error_size1660153
Ref: error_syms1661734
Ref: errormsg_fn1662399
Ref: errormsg1662564
Ref: go1663784
Ref: if1664332
Ref: map1667090
Ref: mapatom1669009
Ref: maperror1669254
Ref: mapprint1669797
Ref: maplist1670214
Ref: prederror1670678
Ref: return1671196
Ref: scanmap1672434
Ref: throw1674254
Ref: outermap1674445
Node: Debugging1681287
Node: Source Level Debugging1681512
Node: Keyword Commands1685445
Node: Functions and Variables for Debugging1687899
Ref: debugmode1688094
Ref: refcheck1688657
Ref: setcheck1688862
Ref: setcheckbreak1690098
Ref: setval1690610
Ref: timer1690871
Ref: timer_reset1692104
Ref: untimer1692457
Ref: timer_devalue1693081
Ref: timer_info1693521
Ref: trace1694334
Ref: trace_options1695509
Ref: trace_break_arg1701102
Ref: untrace1701490
Node: Package alt-display1701849
Node: Introduction to alt-display1702082
Node: Functions and Variables for alt-display1704899
Ref: alt_display_output_type1705121
Ref: define_alt_display1706883
Ref: info_display1708562
Ref: mathml_display1708883
Ref: tex_display1709245
Ref: multi_display_for_texinfo1709515
Ref: reset_displays1710436
Ref: set_alt_display1710597
Ref: set_prompt1711401
Ref: Functions and Variables for alt-display-Footnote-11713989
Node: Package asympa1714128
Node: Introduction to asympa1714360
Ref: asympa1714556
Node: Functions and variables for asympa1714884
Node: Package augmented_lagrangian1715081
Node: Functions and Variables for augmented_lagrangian1715326
Ref: augmented_lagrangian_method1715585
Node: Package bernstein1719279
Node: Functions and Variables for Bernstein1719492
Ref: bernstein_poly1719696
Ref: bernstein_explicit1721598
Ref: multibernstein_poly1722259
Ref: bernstein_approx1722706
Ref: bernstein_expand1723974
Node: Package bitwise1724481
Node: Functions and Variables for bitwise1724978
Ref: bit_not1725148
Ref: bit_and1725693
Ref: bit_or1726554
Ref: bit_xor1727409
Ref: bit_lsh1728274
Ref: bit_rsh1729046
Ref: bit_length1729826
Ref: bit_onep1730353
Node: Package bode1731939
Node: Functions and Variables for bode1732118
Ref: bode_gain1732297
Ref: bode_phase1733709
Node: Package cartan1735369
Node: Introduction to cartan1735580
Node: Functions and Variables for cartan1736273
Ref: init_cartan1736470
Ref: cartan-~1737153
Ref: cartan-|1737822
Ref: ext_diff1737982
Ref: lie_diff1738120
Node: Package celine1739655
Node: Introduction to celine1739835
Node: Package clebsch_gordan1743672
Node: Functions and Variables for clebsch_gordan1743890
Ref: clebsch_gordan1744119
Ref: racah_v1744254
Ref: racah_w1744413
Ref: wigner_3j1744556
Ref: wigner_6j1744717
Ref: wigner_9j1744813
Node: Package cobyla1744934
Node: Introduction to cobyla1745179
Node: Functions and Variables for cobyla1747712
Ref: fmin_cobyla1747937
Ref: bf_fmin_cobyla1750730
Node: Examples for cobyla1751129
Node: Package colnew1752786
Node: Introduction to colnew1753056
Node: Functions and Variables for colnew1755499
Ref: colnew_expert1755724
Ref: colnew_appsln1764463
Node: Examples for colnew1764949
Node: References for colnew1794294
Ref: gawain-ball1794456
Ref: ascher-1979a1794754
Ref: ascher-1979b1795040
Ref: ascher-1981a1795381
Ref: ascher-1981b1795623
Ref: ascher-russell1795940
Ref: parker-wan1796190
Ref: bader-ascher1796502
Ref: ascher-et-al1796745
Ref: bellon-talon1797008
Node: Package combinatorics1797310
Node: Introduction to combinatorics1797563
Node: Functions and Variables for Combinatorics1799560
Ref: apply_cycles1799792
Ref: cyclep1800545
Ref: perm_cycles1801167
Ref: perm_decomp1801581
Ref: perm_inverse1802020
Ref: perm_length1802468
Ref: perm_lex_next1802937
Ref: perm_lex_rank1803276
Ref: perm_lex_unrank1803696
Ref: perm_next1804075
Ref: perm_parity1804436
Ref: perm_rank1804880
Ref: perm_undecomp1805286
Ref: perm_unrank1805640
Ref: permp1806005
Ref: perms1806451
Ref: perms_lex1807967
Ref: permult1809783
Ref: permute1810056
Ref: random_perm1810665
Node: Package contrib_ode1810932
Node: Introduction to contrib_ode1811285
Node: Functions and Variables for contrib_ode1817132
Ref: contrib_ode1817399
Ref: odelin1817558
Ref: ode_check1818340
Ref: gauss_a1819497
Ref: gauss_b1820197
Ref: dgauss_a1820265
Ref: dgauss_b1820399
Ref: kummer_m1820533
Ref: kummer_u1820997
Ref: dkummer_m1821222
Ref: dkummer_u1821343
Ref: bessel_simplify1821464
Ref: expintegral_e_simplify1822729
Node: Possible improvements to contrib_ode1823044
Node: Test cases for contrib_ode1824192
Node: References for contrib_ode1824976
Node: Package descriptive1826525
Node: Introduction to descriptive1826878
Node: Functions and Variables for data manipulation1832048
Ref: build_sample1832347
Ref: continuous_freq1834771
Ref: discrete_freq1838620
Ref: standardize1839972
Ref: subsample1840353
Ref: transform_sample1846493
Node: Functions and Variables for descriptive statistics1848081
Ref: mean1848409
Ref: var1851333
Ref: var11854424
Ref: std1855262
Ref: std11856649
Ref: noncentral_moment1857293
Ref: central_moment1859775
Ref: cv1862430
Ref: smin1863093
Ref: smax1863751
Ref: range1864412
Ref: quantile1864894
Ref: median1865935
Ref: qrange1866682
Ref: mean_deviation1867561
Ref: median_deviation1868523
Ref: harmonic_mean1869439
Ref: geometric_mean1870378
Ref: kurtosis1871311
Ref: skewness1872210
Ref: pearson_skewness1873093
Ref: quartile_skewness1873937
Ref: km1874863
Ref: cdf_empirical1876281
Ref: cov1877275
Ref: cov11879848
Ref: global_variances1881078
Ref: cor1883018
Ref: list_correlations1885308
Ref: principal_components1888579
Node: Functions and Variables for statistical graphs1892869
Ref: barsplot1893135
Ref: barsplot_description1897641
Ref: boxplot1898545
Ref: boxplot_description1902263
Ref: histogram1902450
Ref: histogram_description1907762
Ref: histogram_skyline1908801
Ref: piechart1910351
Ref: piechart_description1912020
Ref: scatterplot1912209
Ref: scatterplot_description1914082
Ref: starplot1914282
Ref: starplot_description1916671
Ref: stemplot1916860
Node: Package diag1917870
Node: Functions and Variables for diag1918054
Ref: diag_function1918233
Ref: JF1919500
Ref: jordan1920320
Ref: dispJordan1922786
Ref: minimalPoly1923966
Ref: ModeMatrix1924726
Ref: mat_function1926488
Node: Package distrib1930599
Node: Introduction to distrib1930885
Node: Functions and Variables for continuous distributions1936933
Node: Normal Random Variable1937864
Ref: pdf_normal1938265
Ref: cdf_normal1938850
Ref: quantile_normal1939710
Ref: mean_normal1940331
Ref: var_normal1940573
Ref: std_normal1940870
Ref: skewness_normal1941156
Ref: kurtosis_normal1941440
Ref: random_normal1941752
Node: Student's t Random Variable1942253
Ref: pdf_student_t1942801
Ref: cdf_student_t1943569
Ref: quantile_student_t1944435
Ref: mean_student_t1944738
Ref: var_student_t1944980
Ref: std_student_t1945463
Ref: skewness_student_t1945841
Ref: kurtosis_student_t1946153
Ref: random_student_t1946536
Node: Noncentral Student's t Random Variable1947370
Ref: pdf_noncentral_student_t1948017
Ref: cdf_noncentral_student_t1951317
Ref: quantile_noncentral_student_t1951778
Ref: mean_noncentral_student_t1952190
Ref: var_noncentral_student_t1953227
Ref: std_noncentral_student_t1953933
Ref: skewness_noncentral_student_t1954639
Ref: kurtosis_noncentral_student_t1956068
Ref: random_noncentral_student_t1957671
Node: Chi-squared Random Variable1958629
Ref: pdf_chi21959108
Ref: cdf_chi21960109
Ref: quantile_chi21960879
Ref: mean_chi21961304
Ref: var_chi21961659
Ref: std_chi21962022
Ref: skewness_chi21962417
Ref: kurtosis_chi21963099
Ref: random_chi21963677
Node: Noncentral Chi-squared Random Variable1964090
Ref: pdf_noncentral_chi21964701
Ref: cdf_noncentral_chi21965600
Ref: quantile_noncentral_chi21965919
Ref: mean_noncentral_chi21966319
Ref: var_noncentral_chi21966586
Ref: std_noncentral_chi21966863
Ref: skewness_noncentral_chi21967165
Ref: kurtosis_noncentral_chi21967578
Ref: random_noncentral_chi21967968
Node: F Random Variable1968392
Ref: pdf_f1968841
Ref: cdf_f1969763
Ref: quantile_f1970564
Ref: mean_f1970912
Ref: var_f1971247
Ref: std_f1971628
Ref: skewness_f1972013
Ref: kurtosis_f1972417
Ref: random_f1972913
Node: Exponential Random Variable1973541
Ref: pdf_exp1973973
Ref: cdf_exp1974484
Ref: quantile_exp1975019
Ref: mean_exp1975636
Ref: var_exp1976176
Ref: std_exp1976818
Ref: skewness_exp1977389
Ref: kurtosis_exp1977793
Ref: random_exp1978197
Node: Lognormal Random Variable1978571
Ref: pdf_lognormal1978927
Ref: cdf_lognormal1979665
Ref: quantile_lognormal1980648
Ref: mean_lognormal1981206
Ref: var_lognormal1981640
Ref: std_lognormal1982003
Ref: skewness_lognormal1982512
Ref: kurtosis_lognormal1982921
Ref: random_lognormal1983342
Node: Gamma Random Variable1983788
Ref: pdf_gamma1984219
Ref: cdf_gamma1984768
Ref: quantile_gamma1985471
Ref: mean_gamma1985769
Ref: var_gamma1986010
Ref: std_gamma1986306
Ref: skewness_gamma1986581
Ref: kurtosis_gamma1986968
Ref: random_gamma1987350
Node: Beta Random Variable1988085
Ref: pdf_beta1988456
Ref: cdf_beta1988962
Ref: quantile_beta1989700
Ref: mean_beta1989996
Ref: var_beta1990335
Ref: std_beta1990679
Ref: skewness_beta1991079
Ref: kurtosis_beta1991450
Ref: random_beta1991918
Node: Continuous Uniform Random Variable1992405
Ref: pdf_continuous_uniform1992775
Ref: cdf_continuous_uniform1993171
Ref: quantile_continuous_uniform1993593
Ref: mean_continuous_uniform1993936
Ref: var_continuous_uniform1994302
Ref: std_continuous_uniform1994735
Ref: skewness_continuous_uniform1995143
Ref: kurtosis_continuous_uniform1995449
Ref: random_continuous_uniform1995728
Node: Logistic Random Variable1996206
Ref: pdf_logistic1996587
Ref: cdf_logistic1997381
Ref: quantile_logistic1997953
Ref: mean_logistic1998261
Ref: var_logistic1998507
Ref: std_logistic1998911
Ref: skewness_logistic1999297
Ref: kurtosis_logistic1999585
Ref: random_logistic1999969
Node: Pareto Random Variable2000631
Ref: pdf_pareto2000870
Ref: cdf_pareto2001232
Ref: quantile_pareto2001610
Ref: mean_pareto2001911
Ref: var_pareto2002123
Ref: std_pareto2002558
Ref: skewness_pareto2003010
Ref: kurtosis_pareto2003404
Ref: random_pareto2003879
Node: Weibull Random Variable2004270
Ref: pdf_weibull2004511
Ref: cdf_weibull2005157
Ref: quantile_weibull2005551
Ref: mean_weibull2005855
Ref: var_weibull2006200
Ref: std_weibull2006579
Ref: skewness_weibull2006977
Ref: kurtosis_weibull2007704
Ref: random_weibull2008418
Node: Rayleigh Random Variable2008811
Ref: pdf_rayleigh2009157
Ref: cdf_rayleigh2009744
Ref: quantile_rayleigh2010341
Ref: mean_rayleigh2010875
Ref: var_rayleigh2011436
Ref: std_rayleigh2012278
Ref: skewness_rayleigh2013071
Ref: kurtosis_rayleigh2014180
Ref: random_rayleigh2015249
Node: Laplace Random Variable2015635
Ref: pdf_laplace2016090
Ref: cdf_laplace2016730
Ref: quantile_laplace2017118
Ref: mean_laplace2017420
Ref: var_laplace2017662
Ref: std_laplace2017960
Ref: skewness_laplace2018238
Ref: kurtosis_laplace2018522
Ref: random_laplace2018806
Node: Cauchy Random Variable2019197
Ref: pdf_cauchy2019804
Ref: cdf_cauchy2020222
Ref: quantile_cauchy2020751
Ref: random_cauchy2021051
Node: Gumbel Random Variable2021438
Ref: pdf_gumbel2021643
Ref: cdf_gumbel2022193
Ref: quantile_gumbel2022620
Ref: mean_gumbel2022920
Ref: var_gumbel2023314
Ref: std_gumbel2023709
Ref: skewness_gumbel2024083
Ref: kurtosis_gumbel2024863
Ref: random_gumbel2025240
Node: Functions and Variables for discrete distributions2025627
Node: General Finite Discrete Random Variable2026244
Ref: pdf_general_finite_discrete2026557
Ref: cdf_general_finite_discrete2027462
Ref: quantile_general_finite_discrete2028352
Ref: mean_general_finite_discrete2028584
Ref: var_general_finite_discrete2028800
Ref: std_general_finite_discrete2029019
Ref: skewness_general_finite_discrete2029248
Ref: kurtosis_general_finite_discrete2029484
Ref: random_general_finite_discrete2029720
Node: Binomial Random Variable2030362
Ref: pdf_binomial2031036
Ref: cdf_binomial2031449
Ref: quantile_binomial2032121
Ref: mean_binomial2032469
Ref: var_binomial2032757
Ref: std_binomial2033055
Ref: skewness_binomial2033376
Ref: kurtosis_binomial2033814
Ref: random_binomial2034252
Node: Poisson Random Variable2034817
Ref: pdf_poisson2035320
Ref: cdf_poisson2035758
Ref: quantile_poisson2036211
Ref: mean_poisson2036508
Ref: var_poisson2036744
Ref: std_poisson2036987
Ref: skewness_poisson2037258
Ref: kurtosis_poisson2037626
Ref: random_poisson2038004
Node: Bernoulli Random Variable2038548
Ref: pdf_bernoulli2039062
Ref: cdf_bernoulli2039578
Ref: quantile_bernoulli2040003
Ref: mean_bernoulli2040318
Ref: var_bernoulli2040699
Ref: std_bernoulli2041094
Ref: skewness_bernoulli2041515
Ref: kurtosis_bernoulli2042155
Ref: random_bernoulli2042797
Node: Geometric Random Variable2043241
Ref: pdf_geometric2043833
Ref: cdf_geometric2044251
Ref: quantile_geometric2044595
Ref: mean_geometric2045057
Ref: var_geometric2045551
Ref: std_geometric2045934
Ref: skewness_geometric2046265
Ref: kurtosis_geometric2046642
Ref: random_geometric2047072
Node: Discrete Uniform Random Variable2047632
Ref: pdf_discrete_uniform2048183
Ref: cdf_discrete_uniform2048616
Ref: quantile_discrete_uniform2049063
Ref: mean_discrete_uniform2049417
Ref: var_discrete_uniform2049799
Ref: std_discrete_uniform2050237
Ref: skewness_discrete_uniform2050706
Ref: kurtosis_discrete_uniform2051027
Ref: random_discrete_uniform2051516
Node: Hypergeometric Random Variable2052002
Ref: pdf_hypergeometric2052619
Ref: cdf_hypergeometric2053387
Ref: quantile_hypergeometric2054231
Ref: mean_hypergeometric2054622
Ref: var_hypergeometric2055076
Ref: std_hypergeometric2055626
Ref: skewness_hypergeometric2056233
Ref: kurtosis_hypergeometric2056918
Ref: random_hypergeometric2057817
Node: Negative Binomial Random Variable2058446
Ref: pdf_negative_binomial2059117
Ref: cdf_negative_binomial2059644
Ref: quantile_negative_binomial2060174
Ref: mean_negative_binomial2060544
Ref: var_negative_binomial2060945
Ref: std_negative_binomial2061399
Ref: skewness_negative_binomial2061833
Ref: kurtosis_negative_binomial2062281
Ref: random_negative_binomial2062769
Node: Package draw2063281
Node: Introduction to draw2063567
Node: Functions and Variables for draw2066046
Ref: gr2d2066307
Ref: gr3d2067645
Ref: draw2068552
Ref: draw2d2070646
Ref: draw3d2070925
Ref: draw_file2071204
Ref: multiplot_mode2071657
Ref: set_draw_defaults2073035
Ref: adapt_depth_draw2073859
Ref: allocation2074115
Ref: axis_3d2075523
Ref: axis_bottom2076036
Ref: axis_left2076508
Ref: axis_right2076943
Ref: axis_top2077381
Ref: background_color2077814
Ref: border2078203
Ref: capping2078840
Ref: cbrange2079470
Ref: cbtics2080412
Ref: color_draw2081124
Ref: colorbox2084957
Ref: columns2085998
Ref: contour2086638
Ref: contour_levels2087790
Ref: data_file_name2089753
Ref: delay2090156
Ref: dimensions_draw2091004
Ref: draw_realpart2092819
Ref: enhanced3d2093518
Ref: error_type2099405
Ref: file_name2099746
Ref: fill_color2100374
Ref: fill_density2100597
Ref: filled_func2100822
Ref: font2102303
Ref: font_size2105597
Ref: gnuplot_file_name2106029
Ref: grid_draw2106803
Ref: head_angle2107557
Ref: head_both2108794
Ref: head_length2109429
Ref: head_type2110140
Ref: interpolate_color2110994
Ref: ip_grid2113832
Ref: ip_grid_in2114035
Ref: key2114248
Ref: key_pos2115048
Ref: label_alignment2116129
Ref: label_orientation2117063
Ref: line_type2118014
Ref: line_width2119041
Ref: logcb2119807
Ref: logx_draw2120551
Ref: logx_secondary2121136
Ref: logy_draw2122031
Ref: logy_secondary2122485
Ref: logz2123346
Ref: palette_draw2124475
Ref: point_size2127757
Ref: point_type_draw2128365
Ref: points_joined2130155
Ref: proportional_axes2131364
Ref: surface_hide2132594
Ref: terminal2133134
Ref: title_draw2136659
Ref: transform2137089
Ref: transparent2138525
Ref: unit_vectors2139081
Ref: user_preamble2139780
Ref: view2141004
Ref: wired_surface2141924
Ref: x_voxel2142418
Ref: xaxis2142680
Ref: xaxis_color2143151
Ref: xaxis_secondary2143655
Ref: xaxis_type2144493
Ref: xaxis_width2144996
Ref: xlabel_draw2145467
Ref: xlabel_secondary2146014
Ref: xrange2146767
Ref: xrange_secondary2147303
Ref: xtics_draw2147822
Ref: xtics_axis2149804
Ref: xtics_rotate2150142
Ref: xtics_rotate_secondary2150412
Ref: xtics_secondary2150712
Ref: xtics_secondary_axis2150927
Ref: xu_grid2151295
Ref: xy_file2151828
Ref: xyplane2152197
Ref: y_voxel2152725
Ref: yaxis2152987
Ref: yaxis_color2153433
Ref: yaxis_secondary2153937
Ref: yaxis_type2154652
Ref: yaxis_width2155156
Ref: ylabel_draw2155627
Ref: ylabel_secondary2156181
Ref: yrange2157030
Ref: yrange_secondary2157630
Ref: ytics_draw2158470
Ref: ytics_axis2158663
Ref: ytics_rotate2159001
Ref: ytics_rotate_secondary2159271
Ref: ytics_secondary2159571
Ref: ytics_secondary_axis2159781
Ref: yv_grid2160149
Ref: z_voxel2160709
Ref: zaxis2160922
Ref: zaxis_color2161481
Ref: zaxis_type2162086
Ref: zaxis_width2162647
Ref: zlabel_draw2163214
Ref: zlabel_rotate2163801
Ref: zrange2164412
Ref: ztics_draw2165039
Ref: ztics_axis2165237
Ref: ztics_rotate2165575
Ref: bars2165894
Ref: cylindrical2166802
Ref: elevation_grid2167561
Ref: ellipse2168616
Ref: errors2169853
Ref: explicit2171315
Ref: image2173381
Ref: implicit2177223
Ref: label_draw2179206
Ref: mesh2180483
Ref: parametric2181944
Ref: parametric_surface2183465
Ref: points2184761
Ref: polar2191178
Ref: polygon2192079
Ref: quadrilateral2193009
Ref: rectangle2194182
Ref: region2195204
Ref: spherical2195982
Ref: triangle2196748
Ref: tube2197747
Ref: vector2198554
Ref: draw_renderer2199921
Node: Functions and Variables for pictures2200192
Ref: get_pixel2200448
Ref: make_level_picture2200616
Ref: make_rgb_picture2201792
Ref: negative_picture2202919
Ref: picture_equalp2203018
Ref: picturep2203136
Ref: read_xpm2203262
Ref: rgb2level2203354
Ref: take_channel2203491
Node: Functions and Variables for worldmap2204419
Ref: boundaries_array2204697
Ref: numbered_boundaries2205056
Ref: make_poly_continent2205591
Ref: make_poly_country2206203
Ref: make_polygon2206565
Ref: region_boundaries2209702
Ref: region_boundaries_plus2210253
Ref: geomap2210891
Node: Package drawdf2217218
Node: Introduction to drawdf2217431
Node: Functions and Variables for drawdf2219356
Ref: drawdf2219588
Node: Package dynamics2228132
Node: The dynamics package2228402
Node: Graphical analysis of discrete dynamical systems2229096
Ref: chaosgame2229366
Ref: evolution2230132
Ref: evolution2d2230878
Ref: ifs2231916
Ref: orbits2233340
Ref: staircase2234768
Node: Visualization with VTK2235638
Ref: scene2236101
Ref: scene_options2238368
Ref: scene_azimuth2238411
Ref: scene_background2238714
Ref: scene_elevation2238963
Ref: scene_height2239297
Ref: scene_restart2239475
Ref: scene_tstep2239728
Ref: scene_width2239932
Ref: scene_windowname2240107
Ref: scene_windowtitle2240412
Ref: scene_objects2240613
Ref: cone2240656
Ref: cube2241537
Ref: cylinder2241878
Ref: sphere2242535
Ref: object_options2242655
Ref: object_animation2242716
Ref: object_capping2243335
Ref: object_center2243593
Ref: object_color2243954
Ref: object_endphi2244171
Ref: object_endtheta2244637
Ref: object_height2245099
Ref: object_linewidth2245264
Ref: object_opacity2245451
Ref: object_orientation2245710
Ref: object_origin2246088
Ref: object_phiresolution2246364
Ref: object_points2246662
Ref: object_pointsize2246877
Ref: object_position2247061
Ref: object_radius2247282
Ref: object_resolution2247510
Ref: object_scale2247713
Ref: object_startphi2248168
Ref: object_starttheta2248635
Ref: object_surface2249098
Ref: object_thetaresolution2249401
Ref: object_track2249713
Ref: object_xlength2250704
Ref: object_ylength2250912
Ref: object_zlength2251120
Ref: object_wireframe2251328
Node: Package engineering-format2251544
Node: Functions and Variables for engineering-format2251939
Ref: engineering_format_floats2252188
Ref: engineering_format_min2252762
Ref: engineering_format_max2253545
Node: Package ezunits2253801
Node: Introduction to ezunits2254067
Node: Introduction to physical_constants2257802
Ref: physical_constants2258045
Node: Functions and Variables for ezunits2262745
Ref: constvalue2273850
Ref: declare_constvalue2274742
Ref: remove_constvalue2275346
Ref: units2275505
Ref: declare_units2276859
Ref: qty2277615
Ref: declare_qty2278590
Ref: unitp2279279
Ref: declare_unit_conversion2280498
Ref: declare_dimensions2282353
Ref: remove_dimensions2283337
Ref: declare_fundamental_dimensions2283510
Ref: declare_fundamental_units2284900
Ref: dimensions2286607
Ref: fundamental_units2288394
Ref: dimensionless2289770
Ref: natural_unit2290874
Node: Package f902291120
Node: Functions for f902291282
Ref: f90_output_line_length_max2291402
Ref: function_f902293035
Node: Package finance2295123
Node: Introduction to finance2295338
Node: Functions and Variables for finance2295951
Ref: days3602296153
Ref: fv2296458
Ref: pv2296813
Ref: graph_flow2297171
Ref: annuity_pv2297556
Ref: annuity_fv2297967
Ref: geo_annuity_pv2298376
Ref: geo_annuity_fv2298843
Ref: amortization2299307
Ref: arit_amortization2300692
Ref: geo_amortization2302392
Ref: saving2304048
Ref: npv2305448
Ref: irr2305767
Ref: benefit_cost2306169
Node: Package format2306797
Node: Introduction to format2307013
Node: Functions and Variables for format2309435
Ref: Template keywords2312441
Node: Package fractals2327349
Node: Introduction to fractals2327669
Node: Definitions for IFS fractals2328295
Ref: sierpinskiale2329015
Ref: treefale2329387
Ref: fernfale2329676
Node: Definitions for complex fractals2330021
Ref: mandelbrot_set2330247
Ref: julia_set2330741
Ref: julia_parameter2331257
Ref: julia_sin2331559
Node: Definitions for Koch snowflakes2332368
Ref: snowmap2332590
Node: Definitions for Peano maps2333352
Ref: hilbertmap2333636
Ref: sierpinskimap2333883
Node: Package gentran2334138
Node: Introduction to Gentran2334425
Node: Functions for Gentran2334981
Node: Gentran Mode Switches2342478
Node: Gentran Option Variables2344490
Node: Gentran Evaluation Forms2351904
Node: Package ggf2355024
Node: Functions and Variables for ggf2355199
Ref: ggf2356505
Node: Package graphs2358577
Node: Introduction to graphs2358788
Node: Functions and Variables for graphs2359911
Ref: create_graph2360155
Ref: copy_graph2362219
Ref: circulant_graph2362289
Ref: clebsch_graph2362870
Ref: complement_graph2362934
Ref: complete_bipartite_graph2363018
Ref: complete_graph2363130
Ref: cycle_digraph2363215
Ref: cycle_graph2363299
Ref: cuboctahedron_graph2363372
Ref: cube_graph2363451
Ref: dodecahedron_graph2363522
Ref: empty_graph2363596
Ref: flower_snark2363675
Ref: from_adjacency_matrix2363924
Ref: frucht_graph2364031
Ref: graph_product2364093
Ref: graph_union2364342
Ref: grid_graph2364436
Ref: great_rhombicosidodecahedron_graph2364504
Ref: great_rhombicuboctahedron_graph2364610
Ref: grotzch_graph2364710
Ref: heawood_graph2364774
Ref: icosahedron_graph2364838
Ref: icosidodecahedron_graph2364910
Ref: induced_subgraph2364994
Ref: line_graph2365493
Ref: make_graph2365571
Ref: mycielski_graph2366799
Ref: new_graph2366889
Ref: path_digraph2366971
Ref: path_graph2367053
Ref: petersen_graph2367124
Ref: random_bipartite_graph2367332
Ref: random_digraph2367496
Ref: random_regular_graph2367639
Ref: random_graph2367858
Ref: random_graph12367991
Ref: random_network2368097
Ref: random_tournament2368621
Ref: random_tree2368710
Ref: small_rhombicosidodecahedron_graph2368787
Ref: small_rhombicuboctahedron_graph2368893
Ref: snub_cube_graph2368993
Ref: snub_dodecahedron_graph2369061
Ref: truncated_cube_graph2369145
Ref: truncated_dodecahedron_graph2369223
Ref: truncated_icosahedron_graph2369317
Ref: truncated_tetrahedron_graph2369409
Ref: tutte_graph2369501
Ref: underlying_graph2369561
Ref: wheel_graph2369660
Ref: adjacency_matrix2369790
Ref: average_degree2370355
Ref: biconnected_components2370684
Ref: bipartition2371181
Ref: chromatic_index2371582
Ref: chromatic_number2371838
Ref: clear_edge_weight2372166
Ref: clear_vertex_label2372606
Ref: connected_components2373087
Ref: diameter2373420
Ref: edge_coloring2373636
Ref: degree_sequence2374391
Ref: edge_connectivity2374650
Ref: edges2374779
Ref: get_edge_weight2375030
Ref: get_vertex_label2375759
Ref: get_unique_vertex_by_label2376245
Ref: get_all_vertices_by_label2377116
Ref: graph_charpoly2377797
Ref: graph_center2378167
Ref: graph_eigenvalues2378408
Ref: graph_periphery2378771
Ref: graph_size2379026
Ref: graph_order2379272
Ref: girth2379523
Ref: hamilton_cycle2379761
Ref: hamilton_path2380143
Ref: isomorphism2380536
Ref: in_neighbors2381040
Ref: is_biconnected2381416
Ref: is_bipartite2381761
Ref: is_connected2382121
Ref: is_digraph2382411
Ref: is_edge_in_graph2382750
Ref: is_graph2383363
Ref: is_graph_or_digraph2383687
Ref: is_isomorphic2384068
Ref: is_planar2384471
Ref: is_sconnected2385005
Ref: is_vertex_in_graph2385382
Ref: is_tree2385782
Ref: laplacian_matrix2386131
Ref: max_clique2386834
Ref: max_degree2387100
Ref: max_flow2387485
Ref: max_independent_set2388518
Ref: max_matching2388859
Ref: min_degree2389265
Ref: min_edge_cut2389649
Ref: min_vertex_cover2389777
Ref: min_vertex_cut2389873
Ref: minimum_spanning_tree2390007
Ref: neighbors2390322
Ref: odd_girth2390598
Ref: out_neighbors2390958
Ref: planar_embedding2391336
Ref: print_graph2391881
Ref: radius2392582
Ref: set_edge_weight2392792
Ref: set_vertex_label2393278
Ref: shortest_path2394048
Ref: shortest_weighted_path2394415
Ref: strong_components2395032
Ref: topological_sort2395399
Ref: vertex_connectivity2395940
Ref: vertex_degree2396073
Ref: vertex_distance2396175
Ref: vertex_eccentricity2396591
Ref: vertex_in_degree2396875
Ref: vertex_out_degree2397438
Ref: vertices2397821
Ref: vertex_coloring2398047
Ref: wiener_index2398533
Ref: add_edge2398778
Ref: add_edges2399177
Ref: add_vertex2399567
Ref: add_vertices2399919
Ref: connect_vertices2400110
Ref: contract_edge2400669
Ref: remove_edge2401460
Ref: remove_vertex2401831
Ref: dimacs_export2401994
Ref: dimacs_import2402252
Ref: graph6_decode2402349
Ref: graph6_encode2402460
Ref: graph6_export2402570
Ref: graph6_import2402704
Ref: sparse6_decode2402812
Ref: sparse6_encode2402930
Ref: sparse6_export2403047
Ref: sparse6_import2403183
Ref: draw_graph2403336
Ref: draw_graph_program2406572
Ref: show_id2406752
Ref: show_label2406868
Ref: label_alignment_graphs2406990
Ref: show_weight2407175
Ref: vertex_type2407296
Ref: vertex_size2407485
Ref: vertex_color2407548
Ref: show_vertices2407630
Ref: show_vertex_type2407755
Ref: show_vertex_size2407952
Ref: show_vertex_color2408039
Ref: vertex_partition2408154
Ref: vertex_coloring_variable2408392
Ref: edge_color2408564
Ref: edge_width2408641
Ref: edge_type2408701
Ref: show_edges2408834
Ref: show_edge_color2408949
Ref: show_edge_width2409056
Ref: show_edge_type2409137
Ref: edge_partition2409291
Ref: edge_coloring_variable2409495
Ref: redraw2409657
Ref: head_angle_graphs2409850
Ref: head_length_graphs2409979
Ref: spring_embedding_depth2410111
Ref: terminal_graphs2410266
Ref: file_name_graphs2410394
Ref: program2410488
Ref: fixed_vertices2410930
Ref: vertices_to_path2411115
Ref: vertices_to_cycle2411257
Node: Package grobner2411401
Node: Introduction to grobner2411622
Node: Functions and Variables for grobner2413416
Ref: poly_add2416313
Ref: poly_subtract2416564
Ref: poly_multiply2416832
Ref: poly_s_polynomial2417079
Ref: poly_primitive_part2417241
Ref: poly_normalize2417487
Ref: poly_expand2417793
Ref: poly_expt2419274
Ref: poly_content2419571
Ref: poly_pseudo_divide2419779
Ref: poly_exact_divide2420403
Ref: poly_normal_form2420623
Ref: poly_buchberger_criterion2420814
Ref: poly_buchberger2421135
Ref: poly_reduction2421838
Ref: poly_minimization2422050
Ref: poly_normalize_list2422348
Ref: poly_grobner2422598
Ref: poly_reduced_grobner2422765
Ref: poly_depends_p2422948
Ref: poly_elimination_ideal2423090
Ref: poly_colon_ideal2423360
Ref: poly_ideal_intersection2423588
Ref: poly_lcm2423751
Ref: poly_gcd2423869
Ref: poly_grobner_equal2424511
Ref: poly_grobner_subsetp2425200
Ref: poly_grobner_member2425493
Ref: poly_ideal_saturation12425965
Ref: poly_ideal_saturation2426326
Ref: poly_ideal_polysaturation12426717
Ref: poly_ideal_polysaturation2427149
Ref: poly_saturation_extension2427463
Ref: poly_polysaturation_extension2427637
Node: Package hompack2427737
Node: Introduction to hompack2427957
Node: Functions and Variables for hompack2428253
Ref: hompack_polsys2428455
Node: Package impdiff2435868
Node: Functions and Variables for impdiff2436061
Ref: implicit_derivative2436255
Node: Package interpol2436714
Node: Introduction to interpol2436938
Node: Functions and Variables for interpol2437360
Ref: lagrange2437567
Ref: charfun22441750
Ref: linearinterpol2443071
Ref: cspline2445748
Ref: ratinterpol2450382
Node: Package lapack2451835
Node: Introduction to lapack2452049
Node: Functions and Variables for lapack2452385
Ref: dgeev2452582
Ref: dgeqrf2455632
Ref: dgesv2457455
Ref: dgesvd2460929
Ref: dlange2466225
Ref: zlange2466225
Ref: dgemm2467263
Ref: zgeev2472400
Ref: zheev2472641
Node: Package lbfgs2477036
Node: Introduction to lbfgs2477243
Node: Functions and Variables for lbfgs2478272
Ref: lbfgs_func2478464
Ref: lbfgs_nfeval_max2493182
Ref: lbfgs_ncorrections2493472
Node: Package levin2493680
Node: Introduction to levin2493938
Node: Functions and Variables for levin2495362
Ref: levin_u_sum2495581
Ref: bflevin_u_sum2496535
Ref: levin_options2497225
Node: Examples for levin2498455
Node: References for levin2503505
Ref: levin-19732503719
Ref: smith-ford-19792504574
Ref: smith-ford-19822504833
Ref: sidi-20032505828
Ref: bender-orszag2506184
Node: Package lindstedt2506356
Node: Functions and Variables for lindstedt2506560
Ref: Lindstedt2506764
Node: Package linearalgebra2508104
Node: Introduction to linearalgebra2508357
Node: Functions and Variables for linearalgebra2512902
Ref: addmatrices2513134
Ref: blockmatrixp2513646
Ref: columnop2513770
Ref: columnswap2514008
Ref: columnspace2514166
Ref: cholesky2514464
Ref: ctranspose2514779
Ref: diag_matrix2514986
Ref: dotproduct2515961
Ref: eigens_by_jacobi2516173
Ref: get_lu_factors2519309
Ref: hankel2519614
Ref: hessian2519903
Ref: hilbert_matrix2521032
Ref: identfor2521170
Ref: invert_by_lu2521750
Ref: jacobian2521919
Ref: kronecker_product2522877
Ref: locate_matrix_entry2522985
Ref: lu_backsub2523937
Ref: lu_factor2528246
Ref: mat_cond2533732
Ref: mat_norm2534259
Ref: linearalgebra_matrixp2534580
Ref: matrix_size2534976
Ref: mat_fullunblocker2535120
Ref: mat_trace2535291
Ref: mat_unblocker2535532
Ref: nullspace2536935
Ref: nullity2537225
Ref: orthogonal_complement2537326
Ref: polytocompanion2537603
Ref: ptringularize2537897
Ref: rowp2538339
Ref: linalg_rank2538569
Ref: rowswap2539070
Ref: toeplitz2539219
Ref: vandermonde_matrix2540053
Ref: zerofor2540213
Ref: zeromatrixp2540760
Node: Package lsquares2541054
Node: Introduction to lsquares2541285
Node: Functions and Variables for lsquares2541635
Ref: lsquares_estimates2541842
Ref: lsquares_estimates_exact2548367
Ref: lsquares_estimates_approximate2550684
Ref: lsquares_mse2553720
Ref: lsquares_residuals2558066
Ref: lsquares_residual_mse2560224
Ref: plsquares2562313
Node: Package minpack2566467
Node: Introduction to minpack2566691
Node: Functions and Variables for minpack2567044
Ref: minpack_lsquares2567246
Ref: minpack_solve2570252
Node: Package makeOrders2572672
Node: Functions and Variables for makeOrders2572876
Ref: makeOrders_func2573085
Node: Package mnewton2573905
Node: Introduction to mnewton2574132
Node: Functions and Variables for mnewton2574447
Ref: newtonepsilon2574649
Ref: newtonmaxiter2575000
Ref: newtondebug2575225
Ref: mnewton2575412
Node: Package numericalio2577964
Ref: numericalio2578276
Node: Introduction to numericalio2578276
Node: Functions and Variables for plain-text input and output2582671
Ref: read_matrix2583001
Ref: read_array2584732
Ref: read_hashed_array2585643
Ref: read_nested_list2586722
Ref: read_list2587687
Ref: write_data2588671
Node: Functions and Variables for binary input and output2590205
Ref: assume_external_byte_order2590491
Ref: openr_binary2591002
Ref: openw_binary2591192
Ref: opena_binary2591404
Ref: read_binary_matrix2591546
Ref: read_binary_array2591970
Ref: read_binary_list2592463
Ref: write_binary_data2593084
Node: Package odepack2594166
Node: Introduction to ODEPACK2594431
Ref: Introduction to ODEPACK-Footnote-12595633
Node: Getting Started with ODEPACK2595688
Node: Functions and Variables for odepack2599090
Ref: dlsode_init2599297
Ref: dlsode_step2600859
Node: Package operatingsystem2603311
Node: Introduction to operatingsystem2603595
Node: Directory operations2603928
Ref: chdir2604125
Ref: mkdir2604185
Ref: rmdir2604242
Ref: getcurrentdirectory2604299
Node: File operations2604593
Ref: copy_file2604771
Ref: rename_file2604851
Ref: delete_file2604934
Node: Environment operations2604997
Ref: getenv2605160
Node: Package opsubst2605409
Node: Functions and Variables for opsubst2605611
Ref: opsubst_func2605805
Node: Package orthopoly2608115
Node: Introduction to orthogonal polynomials2608368
Ref: Floating point Evaluation2619146
Node: Functions and Variables for orthogonal polynomials2626383
Ref: assoc_legendre_p2626647
Ref: assoc_legendre_q2628376
Ref: chebyshev_t2629883
Ref: chebyshev_u2631202
Ref: gen_laguerre2632638
Ref: hermite2634356
Ref: intervalp2635872
Ref: jacobi_p2635989
Ref: laguerre2637013
Ref: legendre_p2638296
Ref: legendre_q2639975
Ref: orthopoly_recur2641206
Ref: orthopoly_weight2642758
Ref: pochhammer2643503
Ref: spherical_bessel_j2645483
Ref: spherical_bessel_y2647230
Ref: spherical_hankel12648980
Ref: spherical_hankel22649315
Ref: spherical_harmonic2649651
Ref: unit_step2652286
Ref: ultraspherical2652552
Node: Package pslq2653921
Node: Introduction to pslq2654132
Node: Functions and Variables for pslq2654613
Ref: guess_exact_value2654800
Node: Package pytranslate2659134
Node: Introduction to pytranslate2659392
Node: Functions in pytranslate2662068
Node: Extending pytranslate2664549
Node: Package quantum_computing2669859
Node: Introduction to quantum_computing2670132
Node: Functions and Variables for Quantum_Computing2671141
Ref: binlist2671393
Ref: binlist2dec2671909
Ref: CNOT2672043
Ref: controlled2672267
Ref: gate2672837
Ref: gate_matrix2673709
Ref: linsert2674313
Ref: lreplace2674534
Ref: normalize2674955
Ref: qdisplay2675068
Ref: qmatrix2675298
Ref: qmeasure2675772
Ref: qubits2676493
Ref: qswap2676801
Ref: Rx2677006
Ref: Ry2677170
Ref: Rz2677334
Ref: tprod2677498
Ref: toffoli2677621
Node: Package ratpow2677870
Node: Functions and Variables for ratpow2679103
Ref: ratp_hipow2679269
Ref: ratp_lopow2679595
Ref: ratp_coeffs2680640
Ref: ratp_dense_coeffs2681023
Node: Package romberg2681379
Node: Functions and Variables for romberg2681570
Ref: romberg_function2681764
Ref: rombergabs2686664
Ref: rombergit2687246
Ref: rombergmin2687702
Ref: rombergtol2688006
Node: Package simplex2688589
Node: Introduction to simplex2688816
Node: Functions and Variables for simplex2690986
Ref: epsilon_lp2691188
Ref: linear_program2692032
Ref: maximize_lp2693143
Ref: minimize_lp2693410
Ref: nonnegative_lp2696889
Ref: scale_lp2697218
Ref: pivot_count_sx2697428
Ref: pivot_max_sx2697571
Node: Package simplification2697694
Node: Introduction to simplification2698016
Node: Package absimp2698413
Node: Package facexp2699494
Ref: facsum2700805
Ref: nextlayerfactor2702770
Ref: facsum_combine2703524
Ref: factorfacsum2704243
Ref: collectterms2704574
Node: Package functs2705861
Ref: rempart2706019
Ref: wronskian2706261
Ref: tracematrix2706943
Ref: nonzeroandfreeof2707428
Ref: gcdivide2708431
Ref: arithmetic2710170
Ref: geometric2710393
Ref: harmonic2710608
Ref: arithsum2710854
Ref: geosum2711016
Ref: gaussprob2711288
Ref: gd2711467
Ref: agd2711617
Ref: vers2711786
Ref: covers2711921
Ref: exsec2712062
Ref: hav2712197
Ref: combination2712332
Ref: permutation2712512
Node: Package ineq2712707
Node: Package rducon2716831
Ref: reduce_consts2716989
Node: Package scifac2718414
Ref: gcfac2718551
Node: Package solve_rec2719546
Node: Introduction to solve_rec2719781
Node: Functions and Variables for solve_rec2720523
Ref: harmonic_number2720735
Ref: harmonic_to_psi2721552
Ref: reduce_order2721912
Ref: simplify_products2723703
Ref: simplify_sum2723917
Ref: solve_rec2724760
Ref: solve_rec_rat2727762
Ref: product_use_gamma2728640
Ref: summand_to_rec2728911
Node: Package stats2730192
Node: Introduction to stats2730508
Node: Functions and Variables for inference_result2731675
Ref: inference_result2731942
Ref: inferencep2733820
Ref: items_inference2733971
Ref: take_inference2734706
Node: Functions and Variables for stats2736580
Ref: stats_numer2736853
Ref: test_mean2737124
Ref: test_means_difference2741629
Ref: test_variance2746624
Ref: test_variance_ratio2749260
Ref: test_proportion2752105
Ref: test_proportions_difference2755730
Ref: test_sign2759535
Ref: test_signed_rank2761537
Ref: test_rank_sum2764701
Ref: test_normality2767514
Ref: linear_regression2768589
Node: Functions and Variables for special distributions2772349
Ref: pdf_signed_rank2772601
Ref: cdf_signed_rank2772841
Ref: pdf_rank_sum2773085
Ref: cdf_rank_sum2773337
Node: Package stirling2773593
Node: Functions and Variables for stirling2773790
Ref: stirling2773989
Node: Package stringproc2776511
Node: Introduction to String Processing2776824
Node: String Input and Output2780279
Ref: close2781153
Ref: flength2781257
Ref: flush_output2781489
Ref: fposition2781648
Ref: freshline2782110
Ref: get_output_stream_string2782520
Ref: make_string_input_stream2782815
Ref: make_string_output_stream2783612
Ref: newline2784314
Ref: opena2784667
Ref: openr2784944
Ref: openw2785818
Ref: printf2786183
Ref: readbyte2791519
Ref: readchar2792423
Ref: readline2792646
Ref: sprint2792865
Ref: writebyte2793667
Node: Characters2795068
Ref: adjust_external_format2795261
Ref: alphacharp2797536
Ref: alphanumericp2798537
Ref: ascii2798765
Ref: cequal2799299
Ref: cequalignore2799416
Ref: cgreaterp2799694
Ref: cgreaterpignore2799844
Ref: charp2800128
Ref: cint2800250
Ref: clessp2801184
Ref: clesspignore2801328
Ref: constituent2801606
Ref: digitcharp2802240
Ref: lowercasep2802398
Ref: newline_variable2802541
Ref: space_variable2802614
Ref: tab_variable2802662
Ref: unicode2802706
Ref: unicode_to_utf82804737
Ref: uppercasep2805296
Ref: us_ascii_only2805440
Ref: utf8_to_unicode2806402
Node: String Processing2806616
Ref: charat2806872
Ref: charlist2807182
Ref: eval_string2807355
Ref: parse_string2807978
Ref: scopy2808623
Ref: sdowncase2808705
Ref: sequal2808933
Ref: sequalignore2809080
Ref: sexplode2809362
Ref: simplode2809459
Ref: sinsert2810167
Ref: sinvertcase2810696
Ref: slength2811150
Ref: smake2811236
Ref: smismatch2811433
Ref: split2811924
Ref: sposition2812738
Ref: sremove2812985
Ref: sremovefirst2813776
Ref: sreverse2814115
Ref: ssearch2814262
Ref: ssort2814942
Ref: ssubst2815664
Ref: ssubstfirst2816610
Ref: strim2816971
Ref: striml2817322
Ref: strimr2817439
Ref: stringp2817557
Ref: substring2817666
Ref: supcase2818263
Ref: tokens2818751
Node: Octets and Utilities for Cryptography2819608
Ref: base642819816
Ref: base64_decode2820807
Ref: crc24sum2821279
Ref: md5sum2823072
Ref: mgf1_sha12824991
Ref: number_to_octets2825941
Ref: octets_to_number2826404
Ref: octets_to_oid2826573
Ref: octets_to_string2826977
Ref: oid_to_octets2828937
Ref: sha1sum2829088
Ref: sha256sum2830326
Ref: string_to_octets2831091
Node: Regular Expressions2831783
Node: Introduction to Regular Expressions2831929
Node: Functions and Variables2832595
Ref: regex_compile2832781
Ref: regex_match_pos2833228
Ref: regex_match2834856
Ref: regex_split2838107
Ref: regex_subst_first2838428
Ref: regex_subst2839178
Ref: string_to_regex2839489
Node: Package to_poly_solve2840210
Node: Functions and Variables for to_poly_solve2840431
Ref: complex_number_p2848563
Ref: compose_functions2849495
Ref: dfloat2851531
Ref: elim2852632
Ref: elim_allbut2855324
Ref: eliminate_using2856066
Ref: fourier_elim2857531
Ref: isreal_p2860945
Ref: new_variable2862305
Ref: nicedummies2864069
Ref: real_imagpart_to_conjugate2866216
Ref: rectform_log_if_constant2866977
Ref: simp_inequality2868019
Ref: standardize_inverse_trig2869983
Ref: subst_parallel2870514
Ref: to_poly2872661
Ref: %union2889457
Node: Package trigtools2891341
Node: Introduction to trigtools2891589
Ref: Introduction to trigtools-Footnote-12892515
Node: Functions and Variables for trigtools2892680
Node: Convert to sin and cos2893165
Ref: c2sin2893410
Ref: c2cos2893436
Node: Convert to Trignometric Functions2896630
Ref: c2trig2896891
Node: Convert to Hyperbolic Functions2899546
Ref: c2hyp2899817
Node: Factor Sums of sin and cos Functions2900555
Ref: trigfactor2900831
Node: Solve Trignometric Equations2904676
Ref: trigsolve2904941
Node: Evaluation of Trignometric Functions2912342
Ref: trigvalue2912610
Ref: trigeval2912923
Node: Contract atan Functions2920728
Ref: atan_contract2920933
Node: References2922717
Node: Package unit2922898
Node: Introduction to Units2923107
Node: Functions and Variables for Units2926827
Ref: setunits2927018
Ref: uforget2931948
Ref: convert2933282
Ref: usersetunits2936737
Ref: metricexpandall2945283
Node: Package wrstcse2946423
Node: Introduction to wrstcse2946643
Node: Functions and Variables for wrstcse2947669
Ref: wc_typicalvalues2947871
Ref: wc_inputvalueranges2948870
Ref: wc_systematic2949673
Ref: wc_montecarlo2950875
Ref: wc_mintypmax2952044
Ref: wc_tolappend2953262
Ref: wc_mintypmax2tol2954517
Node: Package zeilberger2955133
Node: Introduction to zeilberger2955381
Node: Functions and Variables for zeilberger2957406
Ref: AntiDifference2957625
Ref: Gosper2957810
Ref: GosperSum2958041
Ref: parGosper2959979
Ref: Zeilberger2960308
Node: General global variables2961029
Ref: MAX_ORD2961239
Ref: simplified_output2961379
Ref: linear_solver2961596
Ref: warnings2961789
Ref: Gosper_in_Zeilberger2961980
Ref: trivial_solutions2962264
Node: Variables related to the modular test2962503
Ref: mod_test2962692
Ref: modular_linear_solver2962883
Ref: ev_point2963070
Ref: mod_big_prime2963272
Ref: mod_threshold2963439
Node: Error and warning messages2963610
Node: Error Messages2963964
Node: No such list element2964581
Node: argument must be a non-atomic expression2964993
Node: cannot assign to function2965888
Node: 0 to a negative exponent2966267
Node: Comma is not a prefix operator2966583
Node: Illegal use of delimiter2966961
Node: loadfile failed to load2967359
Node: makelist second argument must evaluate to a number2968373
Node: Only symbols can be bound2968899
Node: Operators of arguments must all be the same2969311
Node: out of memory2970157
Node: part fell off the end2971348
Node: undefined variable during plotting2971649
Node: VTK is not installed2972799
Node: Warning Messages2973389
Node: undefined variable during translation2973610
Node: replaced x by y2974262
Node: Command-line options2974799
Ref: command_line_options2974981
Node: Function and Variable Index2978066

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