This is maxima.info, produced by makeinfo 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: 264
maxima.info-2: 1011035
maxima.info-3: 2079615

Tag Table:
(Indirect)
Node: Top264
Node: Introduction to Maxima17311
Node: Bug Detection and Reporting24119
Node: Functions and Variables for Bug Detection and Reporting24361
Ref: run_testsuite24601
Ref: testsuite_files26871
Ref: bug_report27718
Ref: build_info28112
Node: Help30537
Node: Documentation30718
Node: Functions and Variables for Help31715
Ref: apropos31874
Ref: demo33657
Ref: describe34894
Ref: output_format_for_help38016
Ref: browser38777
Ref: url_base39779
Ref: example40377
Ref: manual_demo41814
Node: Command Line42024
Node: Introduction to Command Line42282
Node: Functions and Variables for Command Line42496
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Ref: %46085
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Ref: playback62035
Ref: prompt64162
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Ref: read65225
Ref: readonly65795
Ref: reset66481
Ref: showtime66962
Ref: to_lisp67336
Ref: eval_string_lisp68446
Ref: values69152
Node: Functions and Variables for Display70257
Ref: %edispflag70471
Ref: absboxchar71099
Ref: declare_index_properties71433
Ref: get_index_properties75041
Ref: remove_index_properties75218
Ref: display_index_separator75512
Ref: disp80764
Ref: display81456
Ref: display2d82340
Ref: display_format_internal84117
Ref: with_default_2d_display84827
Ref: dispterms85276
Ref: expt86265
Ref: ncexpt86265
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Ref: grind87296
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Ref: lispdisp97540
Ref: negsumdispflag98073
Ref: obase98490
Ref: pfeformat99677
Ref: powerdisp100518
Ref: print101327
Ref: sqrtdispflag102706
Ref: stardisp102871
Ref: ttyoff103051
Node: Data Types and Structures103421
Node: Numbers103668
Node: Introduction to Numbers103890
Node: Functions and Variables for Numbers104654
Ref: bfloat104850
Ref: bfloatp107021
Ref: bftorat107133
Ref: bftrunc108276
Ref: bigfloat_bits108587
Ref: bigfloat_eps109079
Ref: decode_float109607
Ref: evenp111156
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Ref: float2bf111653
Ref: float_bits111879
Ref: float_eps111981
Ref: float_precision112114
Ref: floatnump112565
Ref: fpprec112690
Ref: fpprintprec112973
Ref: integerp114051
Ref: integer_decode_float115001
Ref: is_power_of_two117521
Ref: m1pbranch119061
Ref: nonnegintegerp119670
Ref: numberp119783
Ref: numer121002
Ref: numer_pbranch121725
Ref: numerval122875
Ref: oddp123352
Ref: ratepsilon123573
Ref: rationalize123861
Ref: ratnump125338
Ref: scale_float125484
Ref: unit_in_last_place126895
Node: Strings128926
Node: Introduction to Strings129132
Node: Functions and Variables for Strings131255
Ref: concat131451
Ref: sconcat132936
Ref: string133592
Ref: stringdisp133899
Node: Constants134685
Node: Functions and Variables for Constants134867
Ref: %e135057
Ref: %i135426
Ref: false135502
Ref: %gamma135659
Ref: ind136254
Ref: inf136459
Ref: infinity136529
Ref: least_negative_float136603
Ref: least_negative_normalized_float136970
Ref: least_positive_float137200
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Ref: minf137795
Ref: most_negative_float137881
Ref: most_positive_float138013
Ref: %phi138145
Ref: %pi140634
Ref: true140844
Ref: und140996
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Ref: zerob141671
Node: Lists141911
Node: Introduction to Lists142147
Node: Functions and Variables for Lists143016
Ref: [143247
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Ref: append144791
Ref: assoc145172
Ref: cons146795
Ref: copylist148282
Ref: create_list148356
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Ref: lreduce164285
Ref: makelist165676
Ref: member167594
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Ref: pop169117
Ref: push169421
Ref: rest170719
Ref: reverse171887
Ref: rreduce172136
Ref: second173638
Ref: seventh173766
Ref: sixth173895
Ref: sort174022
Ref: sublist180097
Ref: sublist_indices180427
Ref: tenth181525
Ref: third181653
Ref: tree_reduce181780
Ref: unique183142
Ref: xreduce183529
Node: Performance considerations for Lists185278
Node: Arrays187545
Ref: hashed array187710
Ref: hashed arrays187710
Ref: undeclared array187710
Ref: undeclared arrays187710
Node: Functions and Variables for Arrays188922
Ref: array189097
Ref: arrayapply189941
Ref: arrayinfo190212
Ref: arraymake194734
Ref: arrays196539
Ref: arraysetapply197728
Ref: fillarray197954
Ref: listarray200133
Ref: make_array203930
Ref: rearray206112
Ref: remarray206494
Ref: subvar207077
Ref: subvarp207817
Ref: use_fast_arrays207940
Ref: translate_fast_arrays208646
Node: Structures209122
Node: Introduction to Structures209324
Node: Functions and Variables for Structures210995
Ref: structures211206
Ref: defstruct211334
Ref: new212915
Node: Expressions215339
Node: Introduction to Expressions215608
Node: Nouns and Verbs217203
Node: Identifiers219634
Node: Inequality221930
Node: Functions and Variables for Expressions222249
Ref: alias222444
Ref: aliases222673
Ref: allbut222946
Ref: args223986
Ref: atom225156
Ref: box225434
Ref: boxchar227611
Ref: collapse227954
Ref: copy228517
Ref: disolate229341
Ref: dispform229853
Ref: dpart231787
Ref: exptisolate232398
Ref: exptsubst232618
Ref: freeof233335
Ref: inflag237231
Ref: inpart238050
Ref: isolate239334
Ref: isolate_wrt_times240245
Ref: listconstvars241035
Ref: listdummyvars241568
Ref: listofvars242291
Ref: lfreeof242881
Ref: lpart243359
Ref: mainvar243581
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Ref: operatorp247723
Ref: option_opsubst248090
Ref: optimize248972
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Ref: ordergreat249516
Ref: orderless249516
Ref: ordergreatp250354
Ref: orderlessp250354
Ref: part254193
Ref: partition255718
Ref: partswitch256305
Ref: pickapart256535
Ref: piece259534
Ref: psubst259749
Ref: rembox260622
Ref: reveal263137
Ref: sqrtdenest265717
Ref: sublis266591
Ref: sublis_apply_lambda267068
Ref: subnumsimp267358
Ref: subst267971
Ref: substinpart271471
Ref: substpart273938
Ref: symbolp275131
Ref: unorder275265
Ref: verbify276710
Node: Operators277101
Node: Introduction to operators277406
Node: Arithmetic operators281677
Ref: +281857
Ref: -281857
Ref: *281857
Ref: /281857
Ref: ^281857
Ref: **288974
Ref: ^^289775
Ref: .290545
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Ref: <=291193
Ref: >=291193
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Node: Logical operators293867
Ref: and294036
Ref: not295109
Ref: or295701
Node: Operators for Equations296763
Ref: #296944
Ref: =297721
Node: Assignment operators301975
Ref: :302155
Ref: ::304972
Ref: ::=305732
Ref: :=308777
Node: User defined operators314620
Ref: infix314772
Ref: matchfix319078
Ref: function_nary323795
Ref: nofix324410
Ref: postfix324979
Ref: prefix325470
Node: Evaluation325874
Node: Functions and Variables for Evaluation326045
Ref: quote326236
Ref: quote-quote330908
Ref: ev336413
Ref: eval345445
Ref: evflag346003
Ref: evfun348574
Ref: infeval351503
Ref: noeval351888
Ref: nouns352114
Ref: pred352428
Node: Simplification352803
Node: Introduction to Simplification353032
Node: Functions and Variables for Simplification363361
Ref: additive363588
Ref: antisymmetric364547
Ref: combine365604
Ref: commutative366190
Ref: demoivre366947
Ref: function_distrib367674
Ref: distribute_over368583
Ref: domain370860
Ref: evenfun371055
Ref: oddfun371055
Ref: expand371741
Ref: expandwrt376053
Ref: expandwert_denom376633
Ref: expandwrt_factored377055
Ref: expon377415
Ref: exponentialize377708
Ref: expop378310
Ref: lassociative378772
Ref: linear379028
Ref: maxnegex380756
Ref: maxposex380948
Ref: multiplicative381133
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Ref: negdistrib386146
Ref: opproperties386969
Ref: define_opproperty387434
Ref: outative389032
Ref: radcan390352
Ref: radexpand391595
Ref: rassociative392529
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Ref: simp393202
Ref: symmetric394909
Ref: xthru395163
Node: Elementary Functions396397
Node: Functions for Numbers396747
Ref: abs396918
Ref: ceiling400380
Ref: entier404138
Ref: floor404354
Ref: fix406290
Ref: hstep406355
Ref: lmax406650
Ref: lmin406846
Ref: max407042
Ref: min408859
Ref: round410669
Ref: signum411008
Ref: truncate411797
Node: Functions for Complex Numbers412123
Ref: cabs412342
Ref: carg416300
Ref: conjugate418233
Ref: imagpart418755
Ref: polarform419359
Ref: realpart420033
Ref: rectform420617
Node: Combinatorial Functions421076
Ref: !!421304
Ref: binomial422051
Ref: factcomb423056
Ref: !423994
Ref: factorial423994
Ref: factlim427649
Ref: factorial_expand427841
Ref: genfact428093
Ref: minfactorial428336
Ref: sumsplitfact428883
Node: Root Exponential and Logarithmic Functions429897
Ref: %e_to_numlog430159
Ref: %emode430600
Ref: %enumer432260
Ref: exp433346
Ref: li434360
Ref: log436939
Ref: logabs438484
Ref: logarc439236
Ref: logconcoeffp439477
Ref: logcontract439914
Ref: logexpand440951
Ref: lognegint444199
Ref: logsimp444371
Ref: plog444536
Ref: sqrt444683
Node: Trigonometric Functions444845
Node: Introduction to Trigonometric445148
Node: Functions and Variables for Trigonometric446241
Node: Trigonometric and Hyperbolic Functions446642
Ref: acos446948
Ref: acosh446994
Ref: acot447052
Ref: acoth447101
Ref: acsc447162
Ref: acsch447210
Ref: asec447270
Ref: asech447316
Ref: asin447374
Ref: asinh447418
Ref: atan447474
Ref: atan2447549
Ref: atanh447738
Ref: cos447797
Ref: cosh447838
Ref: cot447891
Ref: coth447935
Ref: csc447991
Ref: csch448034
Ref: sec448089
Ref: sech448130
Ref: sin448183
Ref: sinh448222
Ref: tan448273
Ref: tanh448315
Node: Options Controlling Simplification448369
Ref: %piargs448667
Ref: %iargs450657
Ref: halfangles451701
Ref: trigsign453601
Node: Explicit Simplifications Using Identities453875
Ref: trigexpand454169
Ref: trigexpandplus455633
Ref: trigexpandtimes455989
Ref: triginverses456355
Ref: trigreduce456882
Ref: trigsimp457512
Ref: trigrat457925
Node: Additional Functions460819
Ref: atrig1461028
Ref: ntrig461429
Node: Random Numbers461739
Ref: make_random_state461883
Ref: set_random_state462658
Ref: random462807
Node: Maxima's Database464472
Node: Introduction to Maxima's Database464790
Node: Functions and Variables for Properties465029
Ref: alphabetic465294
Ref: bindtest465948
Ref: constant466528
Ref: constantp467104
Ref: declare468392
Ref: nary471767
Ref: decreasing473726
Ref: increasing473726
Ref: even474341
Ref: odd474341
Ref: feature475027
Ref: featurep475418
Ref: features475967
Ref: get477431
Ref: integer478478
Ref: noninteger478478
Ref: integervalued478961
Ref: nonarray479471
Ref: nonscalar480057
Ref: nonscalarp480201
Ref: posfun480433
Ref: printprops480606
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Ref: propvars481604
Ref: put481828
Ref: qput482741
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Ref: imaginary483789
Ref: complex483789
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Node: Functions and Variables for Facts486486
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Ref: charfun504382
Ref: compare505008
Ref: equal506198
Ref: notequal510590
Ref: unknown511529
Ref: zeroequiv511687
Node: Plotting512899
Node: Introduction to Plotting513205
Node: Plotting Formats515956
Node: Functions and Variables for Plotting519623
Ref: geomview_command519839
Ref: get_plot_option520305
Ref: gnuplot_command520728
Ref: gnuplot_file_args521210
Ref: gnuplot_view_args521828
Ref: julia523283
Ref: make_transform525060
Ref: mandelbrot525819
Ref: polar_to_xy527319
Ref: plot2d527638
Ref: plot3d536301
Ref: plot_options540733
Ref: remove_plot_option541037
Ref: set_plot_option541263
Ref: spherical_to_xyz542541
Node: Plotting Options542999
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Ref: option_box545957
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Ref: pdf_file557627
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Ref: gnuplot_default_term_command578447
Ref: gnuplot_dumb_term_command578744
Ref: gnuplot_pdf_term_command579063
Ref: gnuplot_png_term_command579426
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Ref: gnuplot_strings580162
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Ref: gnuplot_curve_titles581831
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Ref: gnuplot_replot582902
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Node: Comments583697
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Ref: file_output_append591383
Ref: filename_merge592040
Ref: file_search592410
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Node: Functions and Variables for Fortran Output621396
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Ref: fortspaces624552
Node: Polynomials624734
Node: Introduction to Polynomials625052
Node: Functions and Variables for Polynomials628216
Ref: algebraic628475
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Ref: bezout628900
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Ref: content634034
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Ref: factorflag647022
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Ref: fasttimes648779
Ref: fullratsimp649244
Ref: fullratsubst650905
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Ref: gcd653397
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Ref: hipow658249
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Ref: keepfloat659885
Ref: lowpow660817
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Ref: modulus663103
Ref: num665014
Ref: polydecomp665790
Ref: polymod667752
Ref: polynomialp668129
Ref: quotient670158
Ref: rat670514
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Ref: ratdenom674590
Ref: ratdiff677090
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Ref: ratexpand679406
Ref: ratfac681697
Ref: ratnumer682747
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Ref: savefactors694991
Ref: showratvars695309
Ref: sqfr695480
Ref: totaldisrep698536
Ref: untelltat698967
Node: Introduction to algebraic extensions699075
Node: Functions and Variables for algebraic extensions702571
Ref: algfac702821
Ref: algnorm703480
Ref: algtrace704017
Ref: bdiscr704390
Ref: primelmt705067
Ref: splitfield707445
Node: Special Functions709414
Node: Introduction to Special Functions709861
Node: Bessel Functions712054
Ref: bessel_j712234
Ref: bessel_y713081
Ref: bessel_i713830
Ref: bessel_k714692
Ref: hankel_1715458
Ref: hankel_2717280
Ref: besselexpand718094
Ref: scaled_bessel_i720260
Ref: scaled_bessel_i0720756
Ref: scaled_bessel_i1720841
Ref: %s720926
Node: Airy Functions722014
Ref: airy_ai723007
Ref: airy_dai723254
Ref: airy_bi723397
Ref: airy_dbi723625
Node: Gamma and Factorial Functions723790
Ref: bffac724159
Ref: bfpsi724659
Ref: cbffac725709
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Ref: gamma_incomplete730392
Ref: gamma_incomplete_regularized731194
Ref: gamma_incomplete_generalized731797
Ref: gamma_expand732482
Ref: gammalim734187
Ref: makegamma734603
Ref: beta735302
Ref: beta_incomplete_regularized746066
Ref: beta_expand756056
Ref: polygamma756556
Ref: maxpsiposint758474
Ref: maxpsinegint759315
Ref: maxpsifracnum760738
Ref: maxpsifracdenom761810
Ref: makefact762892
Node: Exponential Integrals764122
Ref: expintegral_e1764505
Ref: expintegral_e765654
Ref: expintegral_si766045
Ref: expintegral_ci766384
Ref: expintegral_shi766779
Ref: expintegral_chi767123
Ref: expintrep767521
Ref: expintexpand778039
Node: Error Function779179
Ref: erf779567
Ref: erfc779965
Ref: erfi780310
Ref: erf_generalized780396
Ref: fresnel_c780657
Ref: fresnel_s781204
Ref: erf_representation781746
Ref: hypergeometric_representation786159
Node: Struve Functions788913
Ref: struve_h789547
Ref: struve_l790068
Node: Hypergeometric Functions790544
Ref: hgfred795091
Node: Parabolic Cylinder Functions797294
Ref: parabolic_cylinder_d797820
Node: Functions and Variables for Special Functions798402
Ref: kbateman799219
Node: Elliptic Functions799832
Node: Introduction to Elliptic Functions and Integrals800141
Node: Functions and Variables for Elliptic Functions804183
Ref: jacobi_sn804643
Ref: jacobi_cn804724
Ref: jacobi_dn804805
Ref: jacobi_ns804886
Ref: jacobi_sc804979
Ref: jacobi_sd805078
Ref: jacobi_nc805177
Ref: jacobi_cs805270
Ref: jacobi_cd805369
Ref: jacobi_nd805468
Ref: jacobi_ds805561
Ref: jacobi_dc805660
Ref: inverse_jacobi_sn805759
Ref: inverse_jacobi_cn806373
Ref: inverse_jacobi_dn806979
Ref: inverse_jacobi_ns807592
Ref: inverse_jacobi_sc808201
Ref: inverse_jacobi_sd808807
Ref: inverse_jacobi_nc809425
Ref: inverse_jacobi_cs810029
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Ref: inverse_jacobi_ds811854
Ref: inverse_jacobi_dc812462
Node: Functions and Variables for Elliptic Integrals813066
Ref: elliptic_f813327
Ref: elliptic_e813544
Ref: elliptic_eu813781
Ref: elliptic_pi814158
Ref: elliptic_kc814337
Ref: elliptic_ec814627
Ref: carlson_rc814916
Ref: carlson_rd815673
Ref: carlson_rf816127
Ref: carlson_rj816553
Node: Limits816731
Node: Functions and Variables for Limits816898
Ref: lhospitallim817071
Ref: limit817317
Ref: limsubst819466
Ref: tlimit819753
Ref: tlimswitch820005
Ref: gruntz820502
Node: Differentiation821909
Node: Functions and Variables for Differentiation822096
Ref: antid822314
Ref: antidiff824768
Ref: at827056
Ref: atomgrad830178
Ref: atvalue830322
Ref: cartan832969
Ref: init_cartan833570
Ref: del834366
Ref: delta835126
Ref: dependencies835489
Ref: depends837212
Ref: derivabbrev839940
Ref: derivdegree840213
Ref: derivlist840829
Ref: derivsubst840988
Ref: diff841212
Ref: symbol_diff844663
Ref: express844829
Ref: gradef847594
Ref: gradefs849666
Node: Integration849965
Node: Introduction to Integration850245
Node: Functions and Variables for Integration851261
Ref: changevar851508
Ref: dblint853850
Ref: defint856391
Ref: erfflag856970
Ref: ilt857208
Ref: intanalysis859541
Ref: integrate861042
Ref: integration_constant869793
Ref: integration_constant_counter870673
Ref: integrate_use_rootsof872035
Ref: laplace874421
Ref: ldefint879185
Ref: pwilt879934
Ref: potential880923
Ref: prefer_d881483
Ref: residue882736
Ref: risch883417
Ref: specint884495
Ref: tldefint888962
Node: Introduction to QUADPACK889085
Ref: Introduction to QUADPACK-Footnote-1892865
Ref: Introduction to QUADPACK-Footnote-2892931
Ref: Introduction to QUADPACK-Footnote-3892997
Ref: Introduction to QUADPACK-Footnote-4893041
Ref: Introduction to QUADPACK-Footnote-5893103
Ref: Introduction to QUADPACK-Footnote-6893143
Ref: Introduction to QUADPACK-Footnote-7893185
Node: Functions and Variables for QUADPACK893370
Ref: quad_qag893572
Ref: quad_qags896369
Ref: quad_qagi898604
Ref: quad_qawc901138
Ref: quad_qawf904365
Ref: quad_qawo907080
Ref: quad_qaws910061
Ref: quad_qagp913021
Ref: quad_control915658
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Node: Functions and Variables for Equations916451
Ref: %rnum916639
Ref: %rnum_list916911
Ref: algepsilon917985
Ref: algexact918091
Ref: algsys918728
Ref: allroots923630
Ref: bfallroots926041
Ref: backsubst926460
Ref: breakup927190
Ref: dimension930500
Ref: dispflag930760
Ref: funcsolve931087
Ref: globalsolve932045
Ref: ieqn934105
Ref: ieqnprint938227
Ref: lhs938939
Ref: linsolve940590
Ref: linsolvewarn943794
Ref: linsolve_params943976
Ref: multiplicities944371
Ref: nroots944589
Ref: nthroot945007
Ref: polyfactor945364
Ref: programmode945720
Ref: realonly946228
Ref: realroots946407
Ref: rhs948638
Ref: rootsconmode950283
Ref: rootscontract950473
Ref: rootsepsilon953225
Ref: solve953429
Ref: solvedecomposes960590
Ref: solveexplicit960778
Ref: solvefactors961036
Ref: solvenullwarn961297
Ref: solveradcan961618
Ref: solvetrigwarn961885
Node: Differential Equations962149
Node: Introduction to Differential Equations962408
Node: Functions and Variables for Differential Equations963035
Ref: bc2963304
Ref: desolve963928
Ref: ic1966059
Ref: ic2966513
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Ref: %c971364
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Node: Introduction to fast Fourier transform972385
Node: Functions and Variables for fast Fourier transform972970
Ref: polartorect973233
Ref: recttopolar973871
Ref: inverse_fft974589
Ref: fft977239
Ref: real_fft981867
Ref: inverse_real_fft982648
Ref: bf_inverse_fft983021
Ref: bf_fft983245
Ref: bf_real_fft983453
Ref: bf_inverse_real_fft983647
Node: Functions and Variables for FFTPACK5983840
Ref: fftpack5_fft984552
Ref: fftpack5_inverse_fft986850
Ref: fftpack5_real_fft987020
Ref: fftpack5_inverse_real_fft987880
Node: Functions for numerical solution of equations988316
Ref: horner988624
Ref: find_root989772
Ref: bf_find_root989772
Ref: find_root_error989772
Ref: find_root_abs989772
Ref: find_root_rel989772
Ref: newton993956
Node: Introduction to numerical solution of differential equations995293
Node: Functions for numerical solution of differential equations996610
Ref: plotdf996912
Ref: rk1007237
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Node: Introduction to Matrices and Linear Algebra1011316
Node: Dot1011675
Node: Matrices1013223
Node: Vectors1014724
Node: eigen1015860
Node: Functions and Variables for Matrices and Linear Algebra1016713
Ref: addcol1017007
Ref: addrow1017205
Ref: adjoint1017400
Ref: augcoefmatrix1017551
Ref: cauchy_matrix1018215
Ref: charpoly1019626
Ref: coefmatrix1021260
Ref: col1021708
Ref: columnvector1021825
Ref: covect1021825
Ref: copymatrix1022789
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Ref: dot0simp1028199
Ref: dot1simp1028399
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Ref: eigenvectors1032920
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Ref: entermatrix1038012
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Ref: gramschmidt1042189
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Ref: innerproduct1044799
Ref: inprod1044799
Ref: invert_by_adjoint1045282
Ref: invert1045526
Ref: list_matrix_entries1046692
Ref: lmxchar1046920
Ref: matrix1047439
Ref: matrixexp1053645
Ref: matrixmap1054088
Ref: matrixp1054274
Ref: matrix_element_add1054377
Ref: matrix_element_mult1055701
Ref: matrix_element_transpose1057695
Ref: mattrace1059951
Ref: minor1060240
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Ref: newdet1061204
Ref: permanent1061379
Ref: rank1061653
Ref: ratmx1061930
Ref: row1062545
Ref: rmxchar1062659
Ref: scalarmatrixp1062831
Ref: scalefactors1063316
Ref: setelmx1064403
Ref: similaritytransform1064640
Ref: simtran1064640
Ref: sparse1065922
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Ref: transpose1066464
Ref: triangularize1066870
Ref: uniteigenvectors1067936
Ref: ueivects1067936
Ref: unitvector1069275
Ref: uvect1069275
Ref: vectorpotential1069520
Ref: vectorsimp1069852
Ref: vect_cross1071342
Ref: zeromatrix1071572
Node: Affine1071677
Node: Introduction to Affine1071872
Node: Functions and Variables for Affine1072115
Ref: fast_linsolve1072304
Ref: grobner_basis1072988
Ref: set_up_dot_simplifications1073588
Ref: declare_weights1074510
Ref: nc_degree1074761
Ref: dotsimp1074933
Ref: fast_central_elements1075185
Ref: check_overlaps1075606
Ref: mono1076258
Ref: monomial_dimensions1076504
Ref: extract_linear_equations1076674
Ref: list_nc_monomials1077070
Ref: all_dotsimp_denoms1077368
Node: itensor1077738
Node: Introduction to itensor1077917
Node: Functions and Variables for itensor1090796
Ref: dispcon1091055
Ref: entertensor1091331
Ref: changename1091652
Ref: listoftens1092037
Ref: ishow1092573
Ref: indices1092916
Ref: rename1093926
Ref: flipflag1097150
Ref: defcon1097775
Ref: remcon1098816
Ref: contract_Itensor1099083
Ref: indexed_tensor1099596
Ref: components1099847
Ref: remcomps1104034
Ref: showcomps1104169
Ref: idummy1106608
Ref: idummyx1106927
Ref: icounter1107062
Ref: kdelta1107311
Ref: kdels1108137
Ref: levi_civita1109000
Ref: lc2kdt1109256
Ref: lc_l1112723
Ref: lc_u1113809
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Ref: idiff1120657
Ref: liediff1121410
Ref: rediff1122210
Ref: undiff1122339
Ref: evundiff1122838
Ref: flush1125238
Ref: flushd1125398
Ref: flushnd1125556
Ref: coord1126279
Ref: remcoord1126691
Ref: makebox1126996
Ref: conmetderiv1127266
Ref: simpmetderiv1128144
Ref: flush1deriv1131296
Ref: imetric1131518
Ref: idim1131924
Ref: ichr11132098
Ref: ichr21132462
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Ref: covdiff1133329
Ref: lorentz1135273
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Ref: icc11142050
Ref: icc21142691
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Ref: ifc21143811
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Ref: ifg1144551
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Ref: iframe_bracket_form1144788
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Ref: inmc21145987
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Ref: ikt21146987
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Ref: ~1151859
Ref: |1153437
Ref: extdiff1154840
Ref: hodge1156327
Ref: igeowedge_flag1157827
Ref: tentex1158660
Ref: ic_convert1160168
Node: ctensor1162984
Node: Introduction to ctensor1163164
Node: Functions and Variables for ctensor1167613
Ref: csetup1167872
Ref: cmetric1168091
Ref: ct1169070
Ref: init1175375
Ref: christof1176784
Ref: ricci1177731
Ref: uricci1178017
Ref: scurvature1178578
Ref: einstein1178739
Ref: leinstein1179374
Ref: riemann1179794
Ref: lriemann1181101
Ref: uriemann1181596
Ref: rinvariant1181798
Ref: weyl1182049
Ref: ctaylor1183154
Ref: frame1188705
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Ref: psi1190029
Ref: petrov1191347
Ref: contortion1196783
Ref: nonmetricity1196901
Ref: ctransform1197088
Ref: findde1197489
Ref: cograd1199847
Ref: contragrad1200049
Ref: ctensor_dscalar1201187
Ref: checkdiv1202090
Ref: cgeodesic1202545
Ref: bdvac1202854
Ref: invariant11203258
Ref: invariant21203468
Ref: bimetric1203734
Ref: diagmatrixp1203986
Ref: symmetricp1204136
Ref: ntermst1204484
Ref: cdisplay1204854
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Ref: dim1218591
Ref: diagmetric1218857
Ref: ctrgsimp1219336
Ref: cframe_flag1219537
Ref: ctorsion_flag1219985
Ref: cnonmet_flag1220234
Ref: ctayswitch1220525
Ref: ctayvar1220808
Ref: ctaypov1220933
Ref: ctaypt1221064
Ref: gdet1221206
Ref: ratchristof1221364
Ref: rateinstein1221468
Ref: ratriemann1221726
Ref: ratweyl1222020
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Ref: ufg1222495
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Ref: ric1223135
Ref: uric1223214
Ref: lg1223297
Ref: ug1223457
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Ref: fb1223611
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Ref: np1223789
Ref: npi1223872
Ref: tr1224516
Ref: kt1224622
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Ref: nmc1224801
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Ref: ct_coords1225075
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Node: Introduction to atensor1228709
Node: Functions and Variables for atensor1232765
Ref: init_atensor1232959
Ref: atensimp1235615
Ref: alg_type1236039
Ref: adim1236216
Ref: aform1236429
Ref: asymbol1236620
Ref: sf1236706
Ref: af1237001
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Ref: abasep1238335
Node: Sums Products and Series1238603
Node: Functions and Variables for Sums and Products1239021
Ref: bashindices1239294
Ref: lsum1239739
Ref: intosum1240430
Ref: simpproduct1240953
Ref: product1241379
Ref: simpsum1243941
Ref: sum1244344
Ref: sumcontract1249027
Ref: sumexpand1249628
Node: Introduction to Series1250591
Node: Functions and Variables for Series1251178
Ref: cauchysum1251424
Ref: deftaylor1252729
Ref: maxtayorder1254083
Ref: niceindices1254338
Ref: niceindicespref1255809
Ref: nusum1256867
Ref: pade1259031
Ref: powerseries1262121
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Ref: revert1264548
Ref: taylor1266433
Ref: taylordepth1274494
Ref: taylorinfo1274759
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Ref: taylor_logexpand1275775
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Ref: taylor_truncate_polynomials1276846
Ref: taytorat1277157
Ref: trunc1277361
Ref: unsum1277934
Ref: verbose1279158
Node: Introduction to Fourier series1279304
Node: Functions and Variables for Fourier series1279800
Ref: equalp1280090
Ref: remfun1280280
Ref: funp1280627
Ref: absint1280985
Ref: fourier1281647
Ref: foursimp1281797
Ref: sinnpiflag1281979
Ref: cosnpiflag1282069
Ref: fourexpand1282159
Ref: fourcos1282414
Ref: foursin1282550
Ref: totalfourier1282684
Ref: fourint1282818
Ref: fourintcos1282978
Ref: forintsin1283113
Node: Functions and Variables for Poisson series1283246
Ref: intopois1283497
Ref: outopois1283570
Ref: poisdiff1283937
Ref: poisexpt1284095
Ref: poisint1284226
Ref: poislim1284411
Ref: poismap1284711
Ref: poisplus1285029
Ref: poissimp1285123
Ref: poisson1285234
Ref: poissubst1285349
Ref: poistimes1286272
Ref: poistrim1286369
Ref: printpois1286756
Node: Number Theory1286947
Node: Functions and Variables for Number Theory1287143
Ref: bern1287351
Ref: bernpoly1288121
Ref: bfzeta1288223
Ref: bfhzeta1288420
Ref: burn1289034
Ref: chinese1289977
Ref: cf1290936
Ref: cfdisrep1293936
Ref: cfexpand1294629
Ref: cflength1295270
Ref: divsum1295897
Ref: euler1296469
Ref: factors_only1297004
Ref: fib1297407
Ref: fibtophi1297750
Ref: ifactors1298954
Ref: igcdex1300208
Ref: inrt1300908
Ref: inv_mod1301198
Ref: isqrt1301609
Ref: jacobi1301732
Ref: lcm1301989
Ref: lucas1302209
Ref: mod1302625
Ref: next_prime1303916
Ref: partfrac1304072
Ref: power_mod1305401
Ref: primep1305950
Ref: primep_number_of_tests1306744
Ref: primes1306871
Ref: prev_time1307047
Ref: qunit1307204
Ref: totient1307628
Ref: zeta1308016
Ref: zeta%pi1309442
Ref: zn_add_table1310081
Ref: zn_characteristic_factors1310232
Ref: zn_carmichael_lambda1313841
Ref: zn_determinant1314068
Ref: zn_factor_generators1315167
Ref: zn_invert_by_lu1315399
Ref: zn_log1316425
Ref: zn_mult_table1319665
Ref: zn_nth_root1325110
Ref: zn_order1329955
Ref: zn_power_table1332206
Ref: zn_primroot1337091
Ref: zn_primroot_limit1339659
Ref: zn_primroot_p1339994
Ref: zn_primroot_pretest1341836
Ref: zn_primroot_verbose1342372
Node: Symmetries1342548
Node: Introduction to Symmetries1342748
Node: Functions and Variables for Symmetries1344211
Ref: comp2pui1344465
Ref: ele2pui1345064
Ref: ele2comp1345285
Ref: elem1345506
Ref: mon2schur1346963
Ref: multi1348114
Ref: multi_pui1348848
Ref: pui1349308
Ref: pui2comp1350659
Ref: pui2ele1351930
Ref: puireduc1352336
Ref: schur2comp1353023
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Ref: contract1354193
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Ref: tpartpol1356158
Ref: direct1356427
Ref: multi_orbit1360158
Ref: multsym1360835
Ref: orbit1361701
Ref: pui_direct1362254
Ref: kostka1364512
Ref: lgtreillis1364758
Ref: ltreillis1365014
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Ref: treinat1365539
Ref: ele2polynome1366173
Ref: polynome2ele1367006
Ref: prodrac1367603
Ref: pui2polynome1367857
Ref: somrac1368523
Ref: resolvante1368817
Ref: resolvante_alternee11376244
Ref: resolvante_bipartite1376652
Ref: resolvante_diedrale1377247
Ref: resolvante_klein1377973
Ref: resolvante_klein31378334
Ref: resolvante_produit_sym1378695
Ref: resolvante_unitaire1379800
Ref: resolvante_vierer1380159
Ref: multinomial1380561
Ref: permut1380839
Node: Groups1380922
Node: Functions and Variables for Groups1381085
Ref: todd_coxeter1381258
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Node: Introduction for Runtime Environment1383316
Node: Interrupts1384484
Node: Functions and Variables for Runtime Environment1385615
Ref: maxima_tempdir1385844
Ref: maxima_userdir1386315
Ref: room1387044
Ref: sstatus1387467
Ref: status1387949
Ref: system1389002
Ref: time1389822
Ref: timedate1390334
Ref: parse_timedate1392303
Ref: encode_time1396025
Ref: decode_time1398553
Ref: absolute_real_time1400299
Ref: elapsed_real_time1400737
Ref: elapsed_run_time1401244
Node: Miscellaneous Options1401804
Node: Introduction to Miscellaneous Options1402087
Node: Share1402498
Node: Functions and Variables for Miscellaneous Options1403019
Ref: askexp1403251
Ref: genindex1403496
Ref: gensumnum1403670
Ref: gensym1403931
Ref: packagefile1404902
Ref: remvalue1405644
Ref: rncombine1406098
Ref: setup_autoload1406819
Ref: tcl_output1408224
Node: Rules and Patterns1409462
Node: Introduction to Rules and Patterns1409708
Node: Functions and Variables for Rules and Patterns1410807
Ref: apply11411056
Ref: apply21411728
Ref: applyb11412283
Ref: current_let_rule_package1413022
Ref: default_let_rule_package1413629
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Ref: maxapplyheight1437287
Ref: remlet1437456
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Ref: tellsimpafter1442996
Ref: clear_rules1452343
Node: Sets1452528
Node: Introduction to Sets1452716
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Ref: adjoin1460264
Ref: belln1460769
Ref: cardinality1461776
Ref: cartesian_product1462312
Ref: cartesian_product_list1463079
Ref: disjoin1466831
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Ref: emptyp1469924
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Ref: extremal_subset1474617
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Ref: num_distinct_partitions1487889
Ref: num_partitions1488767
Ref: partition_set1489703
Ref: permutations1490470
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Ref: setdifference1492959
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Ref: symmdifference1504215
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Node: Introduction to Function Definition1506512
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Ref: memoizing function1510197
Ref: memoizing functions1510197
Ref: Memoizing function1510197
Ref: Memoizing functions1510197
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Ref: macroexpand1517684
Ref: macroexpand11518934
Ref: macros1520096
Ref: splice1520447
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Ref: apply1522370
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Ref: break1528378
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Ref: compile1530607
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Ref: fullmapl1545210
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Ref: mode_checkp1568975
Ref: mode_check_errorp1570088
Ref: mode_check_warnp1570242
Ref: mode_identity1570388
Ref: remfunction1571916
Ref: savedef1572699
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Ref: translate_file1575586
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Ref: tr_array_as_ref1578425
Ref: tr_bound_function_applyp1578893
Ref: tr_file_tty_messagesp1579989
Ref: tr_float_can_branch_complex1580373
Ref: tr_function_call_default1580944
Ref: tr_numer1581686
Ref: tr_optimize_max_loop1581871
Ref: tr_state_vars1582197
Ref: tr_warnings_get1582727
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Ref: tr_warn_undeclared1583729
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Ref: declare_translated1585381
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Ref: garbage_collect1591065
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Ref: backtrace1592002
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Node: Source Level Debugging1625750
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Ref: timer_devalue1636944
Ref: timer_info1637384
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Ref: untrace1641619
Node: alt-display-pkg1641978
Node: Introduction to alt-display1642187
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Ref: alt_display_output_type1645214
Ref: define_alt_display1646976
Ref: info_display1648655
Ref: mathml_display1648976
Ref: tex_display1649338
Ref: multi_display_for_texinfo1649608
Ref: reset_displays1650529
Ref: set_alt_display1650690
Ref: set_prompt1651494
Ref: Functions and Variables for alt-display-Footnote-11654082
Node: asympa-pkg1654221
Node: Introduction to asympa1654425
Ref: asympa1654613
Node: Functions and variables for asympa1654941
Node: augmented_lagrangian-pkg1655134
Node: Functions and Variables for augmented_lagrangian1655351
Ref: augmented_lagrangian_method1655602
Node: Bernstein-pkg1659292
Node: Functions and Variables for Bernstein1659477
Ref: bernstein_poly1659673
Ref: bernstein_explicit1661575
Ref: multibernstein_poly1662236
Ref: bernstein_approx1662683
Ref: bernstein_expand1663951
Node: bitwise-pkg1664458
Node: Functions and Variables for bitwise1664927
Ref: bit_not1665097
Ref: bit_and1665642
Ref: bit_or1666503
Ref: bit_xor1667358
Ref: bit_lsh1668223
Ref: bit_rsh1668995
Ref: bit_length1669775
Ref: bit_onep1670302
Node: bode-pkg1671888
Node: Functions and Variables for bode1672039
Ref: bode_gain1672210
Ref: bode_phase1673622
Node: celine-pkg1675282
Node: Introduction to celine1675434
Node: clebsch_gordan-pkg1679267
Node: Functions and Variables for clebsch_gordan1679457
Ref: clebsch_gordan1679678
Ref: racah_v1679813
Ref: racah_w1679972
Ref: wigner_3j1680115
Ref: wigner_6j1680276
Ref: wigner_9j1680372
Node: cobyla-pkg1680493
Node: Introduction to cobyla1680717
Node: Functions and Variables for cobyla1683197
Ref: fmin_cobyla1683418
Ref: bf_fmin_cobyla1686212
Node: Examples for cobyla1686611
Node: combinatorics-pkg1688266
Node: Package combinatorics1688483
Node: Functions and Variables for Combinatorics1690464
Ref: apply_cycles1690684
Ref: cyclep1691437
Ref: perm_cycles1692059
Ref: perm_decomp1692473
Ref: perm_inverse1692912
Ref: perm_length1693360
Ref: perm_lex_next1693829
Ref: perm_lex_rank1694168
Ref: perm_lex_unrank1694588
Ref: perm_next1694967
Ref: perm_parity1695328
Ref: perm_rank1695772
Ref: perm_undecomp1696178
Ref: perm_unrank1696532
Ref: permp1696897
Ref: perms1697343
Ref: perms_lex1698859
Ref: permult1700675
Ref: permute1700948
Ref: random_perm1701557
Node: contrib_ode-pkg1701824
Node: Introduction to contrib_ode1702149
Node: Functions and Variables for contrib_ode1707988
Ref: contrib_ode1708251
Ref: odelin1708410
Ref: ode_check1709192
Ref: gauss_a1710349
Ref: gauss_b1710933
Ref: dgauss_a1711001
Ref: dgauss_b1711135
Ref: kummer_m1711269
Ref: kummer_u1711699
Ref: dkummer_m1711886
Ref: dkummer_u1712007
Ref: bessel_simplify1712128
Ref: expintegral_e_simplify1713300
Node: Possible improvements to contrib_ode1713553
Node: Test cases for contrib_ode1714697
Node: References for contrib_ode1715477
Node: descriptive-pkg1717022
Node: Introduction to descriptive1717347
Node: Functions and Variables for data manipulation1722509
Ref: build_sample1722804
Ref: continuous_freq1725157
Ref: discrete_freq1728855
Ref: standardize1730199
Ref: subsample1730580
Ref: transform_sample1736818
Node: Functions and Variables for descriptive statistics1738406
Ref: mean1738730
Ref: var1739603
Ref: var11740217
Ref: std1741072
Ref: std11741726
Ref: noncentral_moment1742387
Ref: central_moment1743328
Ref: cv1744291
Ref: smin1744953
Ref: smax1745595
Ref: range1746240
Ref: quantile1746716
Ref: median1747626
Ref: qrange1748366
Ref: mean_deviation1749118
Ref: median_deviation1750087
Ref: harmonic_mean1750986
Ref: geometric_mean1751925
Ref: kurtosis1752856
Ref: skewness1753745
Ref: pearson_skewness1754646
Ref: quartile_skewness1755487
Ref: km1756408
Ref: cdf_empirical1757878
Ref: cov1758900
Ref: cov11760170
Ref: global_variances1761440
Ref: cor1763314
Ref: list_correlations1765512
Ref: principal_components1768733
Node: Functions and Variables for statistical graphs1773022
Ref: barsplot1773284
Ref: barsplot_description1777950
Ref: boxplot1778854
Ref: boxplot_description1782675
Ref: histogram1782862
Ref: histogram_description1788248
Ref: histogram_skyline1789287
Ref: piechart1790836
Ref: piechart_description1792532
Ref: scatterplot1792721
Ref: scatterplot_description1794684
Ref: starplot1794884
Ref: starplot_description1797273
Ref: stemplot1797462
Node: diag-pkg1798470
Node: Functions and Variables for diag1798626
Ref: diag_function1798797
Ref: JF1800064
Ref: jordan1800884
Ref: dispJordan1803350
Ref: minimalPoly1804530
Ref: ModeMatrix1805290
Ref: mat_function1807052
Node: distrib-pkg1811163
Node: Introduction to distrib1811421
Node: Functions and Variables for continuous distributions1817445
Node: Normal Random Variable1818372
Ref: pdf_normal1818773
Ref: cdf_normal1819358
Ref: quantile_normal1820207
Ref: mean_normal1820828
Ref: var_normal1821070
Ref: std_normal1821367
Ref: skewness_normal1821653
Ref: kurtosis_normal1821937
Ref: random_normal1822249
Node: Student's t Random Variable1822750
Ref: pdf_student_t1823298
Ref: cdf_student_t1824065
Ref: quantile_student_t1824919
Ref: mean_student_t1825221
Ref: var_student_t1825462
Ref: std_student_t1825944
Ref: skewness_student_t1826321
Ref: kurtosis_student_t1826632
Ref: random_student_t1827014
Node: Noncentral Student's t Random Variable1827846
Ref: pdf_noncentral_student_t1828493
Ref: cdf_noncentral_student_t1831776
Ref: quantile_noncentral_student_t1832226
Ref: mean_noncentral_student_t1832638
Ref: var_noncentral_student_t1833675
Ref: std_noncentral_student_t1834381
Ref: skewness_noncentral_student_t1835087
Ref: kurtosis_noncentral_student_t1836517
Ref: random_noncentral_student_t1838121
Node: Chi-squared Random Variable1839079
Ref: pdf_chi21839558
Ref: cdf_chi21840552
Ref: quantile_chi21841310
Ref: mean_chi21841735
Ref: var_chi21842090
Ref: std_chi21842453
Ref: skewness_chi21842848
Ref: kurtosis_chi21843530
Ref: random_chi21844108
Node: Noncentral Chi-squared Random Variable1844521
Ref: pdf_noncentral_chi21845132
Ref: cdf_noncentral_chi21846029
Ref: quantile_noncentral_chi21846335
Ref: mean_noncentral_chi21846731
Ref: var_noncentral_chi21846995
Ref: std_noncentral_chi21847269
Ref: skewness_noncentral_chi21847568
Ref: kurtosis_noncentral_chi21847978
Ref: random_noncentral_chi21848365
Node: F Random Variable1848787
Ref: pdf_f1849236
Ref: cdf_f1850158
Ref: quantile_f1850948
Ref: mean_f1851296
Ref: var_f1851631
Ref: std_f1852012
Ref: skewness_f1852397
Ref: kurtosis_f1852801
Ref: random_f1853297
Node: Exponential Random Variable1853925
Ref: pdf_exp1854357
Ref: cdf_exp1854870
Ref: quantile_exp1855394
Ref: mean_exp1856011
Ref: var_exp1856551
Ref: std_exp1857193
Ref: skewness_exp1857764
Ref: kurtosis_exp1858168
Ref: random_exp1858572
Node: Lognormal Random Variable1858946
Ref: pdf_lognormal1859302
Ref: cdf_lognormal1860040
Ref: quantile_lognormal1861012
Ref: mean_lognormal1861570
Ref: var_lognormal1862004
Ref: std_lognormal1862367
Ref: skewness_lognormal1862876
Ref: kurtosis_lognormal1863285
Ref: random_lognormal1863706
Node: Gamma Random Variable1864152
Ref: pdf_gamma1864583
Ref: cdf_gamma1865132
Ref: quantile_gamma1865824
Ref: mean_gamma1866122
Ref: var_gamma1866363
Ref: std_gamma1866659
Ref: skewness_gamma1866934
Ref: kurtosis_gamma1867321
Ref: random_gamma1867703
Node: Beta Random Variable1868432
Ref: pdf_beta1868803
Ref: cdf_beta1869309
Ref: quantile_beta1870036
Ref: mean_beta1870332
Ref: var_beta1870671
Ref: std_beta1871015
Ref: skewness_beta1871415
Ref: kurtosis_beta1871786
Ref: random_beta1872254
Node: Continuous Uniform Random Variable1872741
Ref: pdf_continuous_uniform1873111
Ref: cdf_continuous_uniform1873506
Ref: quantile_continuous_uniform1873916
Ref: mean_continuous_uniform1874256
Ref: var_continuous_uniform1874621
Ref: std_continuous_uniform1875053
Ref: skewness_continuous_uniform1875460
Ref: kurtosis_continuous_uniform1875765
Ref: random_continuous_uniform1876043
Node: Logistic Random Variable1876520
Ref: pdf_logistic1876902
Ref: cdf_logistic1877696
Ref: quantile_logistic1878257
Ref: mean_logistic1878565
Ref: var_logistic1878811
Ref: std_logistic1879215
Ref: skewness_logistic1879601
Ref: kurtosis_logistic1879890
Ref: random_logistic1880275
Node: Pareto Random Variable1880672
Ref: pdf_pareto1880911
Ref: cdf_pareto1881273
Ref: quantile_pareto1881640
Ref: mean_pareto1881941
Ref: var_pareto1882153
Ref: std_pareto1882588
Ref: skewness_pareto1883040
Ref: kurtosis_pareto1883434
Ref: random_pareto1883909
Node: Weibull Random Variable1884300
Ref: pdf_weibull1884541
Ref: cdf_weibull1885187
Ref: quantile_weibull1885570
Ref: mean_weibull1885874
Ref: var_weibull1886219
Ref: std_weibull1886598
Ref: skewness_weibull1886996
Ref: kurtosis_weibull1887723
Ref: random_weibull1888437
Node: Rayleigh Random Variable1888830
Ref: pdf_rayleigh1889176
Ref: cdf_rayleigh1889769
Ref: quantile_rayleigh1890355
Ref: mean_rayleigh1890890
Ref: var_rayleigh1891451
Ref: std_rayleigh1892293
Ref: skewness_rayleigh1893086
Ref: kurtosis_rayleigh1894195
Ref: random_rayleigh1895264
Node: Laplace Random Variable1895650
Ref: pdf_laplace1896105
Ref: cdf_laplace1896745
Ref: quantile_laplace1897122
Ref: mean_laplace1897424
Ref: var_laplace1897666
Ref: std_laplace1897964
Ref: skewness_laplace1898242
Ref: kurtosis_laplace1898526
Ref: random_laplace1898810
Node: Cauchy Random Variable1899201
Ref: pdf_cauchy1899808
Ref: cdf_cauchy1900226
Ref: quantile_cauchy1900744
Ref: random_cauchy1901044
Node: Gumbel Random Variable1901431
Ref: pdf_gumbel1901636
Ref: cdf_gumbel1902186
Ref: quantile_gumbel1902602
Ref: mean_gumbel1902902
Ref: var_gumbel1903296
Ref: std_gumbel1903691
Ref: skewness_gumbel1904065
Ref: kurtosis_gumbel1904845
Ref: random_gumbel1905222
Node: Functions and Variables for discrete distributions1905609
Node: General Finite Discrete Random Variable1906222
Ref: pdf_general_finite_discrete1906535
Ref: cdf_general_finite_discrete1907388
Ref: quantile_general_finite_discrete1908260
Ref: mean_general_finite_discrete1908490
Ref: var_general_finite_discrete1908704
Ref: std_general_finite_discrete1908921
Ref: skewness_general_finite_discrete1909148
Ref: kurtosis_general_finite_discrete1909382
Ref: random_general_finite_discrete1909616
Node: Binomial Random Variable1910256
Ref: pdf_binomial1910930
Ref: cdf_binomial1911343
Ref: quantile_binomial1912004
Ref: mean_binomial1912352
Ref: var_binomial1912640
Ref: std_binomial1912938
Ref: skewness_binomial1913259
Ref: kurtosis_binomial1913697
Ref: random_binomial1914135
Node: Poisson Random Variable1914700
Ref: pdf_poisson1915203
Ref: cdf_poisson1915641
Ref: quantile_poisson1916082
Ref: mean_poisson1916379
Ref: var_poisson1916615
Ref: std_poisson1916858
Ref: skewness_poisson1917129
Ref: kurtosis_poisson1917497
Ref: random_poisson1917875
Node: Bernoulli Random Variable1918419
Ref: pdf_bernoulli1918933
Ref: cdf_bernoulli1919422
Ref: quantile_bernoulli1919836
Ref: mean_bernoulli1920151
Ref: var_bernoulli1920532
Ref: std_bernoulli1920927
Ref: skewness_bernoulli1921348
Ref: kurtosis_bernoulli1921988
Ref: random_bernoulli1922630
Node: Geometric Random Variable1923074
Ref: pdf_geometric1923666
Ref: cdf_geometric1924084
Ref: quantile_geometric1924417
Ref: mean_geometric1924878
Ref: var_geometric1925372
Ref: std_geometric1925755
Ref: skewness_geometric1926086
Ref: kurtosis_geometric1926463
Ref: random_geometric1926893
Node: Discrete Uniform Random Variable1927453
Ref: pdf_discrete_uniform1928004
Ref: cdf_discrete_uniform1928437
Ref: quantile_discrete_uniform1928873
Ref: mean_discrete_uniform1929227
Ref: var_discrete_uniform1929609
Ref: std_discrete_uniform1930047
Ref: skewness_discrete_uniform1930516
Ref: kurtosis_discrete_uniform1930837
Ref: random_discrete_uniform1931326
Node: Hypergeometric Random Variable1931812
Ref: pdf_hypergeometric1932429
Ref: cdf_hypergeometric1933203
Ref: quantile_hypergeometric1934042
Ref: mean_hypergeometric1934433
Ref: var_hypergeometric1934887
Ref: std_hypergeometric1935430
Ref: skewness_hypergeometric1936037
Ref: kurtosis_hypergeometric1936722
Ref: random_hypergeometric1937621
Node: Negative Binomial Random Variable1938245
Ref: pdf_negative_binomial1938916
Ref: cdf_negative_binomial1939443
Ref: quantile_negative_binomial1939962
Ref: mean_negative_binomial1940332
Ref: var_negative_binomial1940733
Ref: std_negative_binomial1941187
Ref: skewness_negative_binomial1941621
Ref: kurtosis_negative_binomial1942069
Ref: random_negative_binomial1942557
Node: draw-pkg1943069
Node: Introduction to draw1943327
Node: Functions and Variables for draw1945794
Ref: gr2d1946051
Ref: gr3d1947389
Ref: draw1948296
Ref: draw2d1950390
Ref: draw3d1950669
Ref: draw_file1950948
Ref: multiplot_mode1951401
Ref: set_draw_defaults1952779
Ref: adapt_depth_draw1953603
Ref: allocation1953859
Ref: axis_3d1955267
Ref: axis_bottom1955780
Ref: axis_left1956252
Ref: axis_right1956687
Ref: axis_top1957125
Ref: background_color1957558
Ref: border1957947
Ref: capping1958584
Ref: cbrange1959214
Ref: cbtics1960156
Ref: color_draw1960868
Ref: colorbox1964701
Ref: columns1965742
Ref: contour1966382
Ref: contour_levels1967534
Ref: data_file_name1969497
Ref: delay1969900
Ref: dimensions_draw1970748
Ref: draw_realpart1972340
Ref: enhanced3d1973039
Ref: error_type1978926
Ref: file_name1979267
Ref: fill_color1979895
Ref: fill_density1980118
Ref: filled_func1980343
Ref: font1981824
Ref: font_size1985118
Ref: gnuplot_file_name1985550
Ref: grid_draw1986324
Ref: head_angle1987078
Ref: head_both1988315
Ref: head_length1988950
Ref: head_type1989661
Ref: interpolate_color1990515
Ref: ip_grid1993353
Ref: ip_grid_in1993556
Ref: key1993769
Ref: key_pos1994569
Ref: label_alignment1995650
Ref: label_orientation1996584
Ref: line_type1997535
Ref: line_width1998562
Ref: logcb1999328
Ref: logx_draw2000072
Ref: logx_secondary2000657
Ref: logy_draw2001552
Ref: logy_secondary2002006
Ref: logz2002867
Ref: palette_draw2003996
Ref: point_size2007278
Ref: point_type_draw2007886
Ref: points_joined2009676
Ref: proportional_axes2010885
Ref: surface_hide2012115
Ref: terminal2012655
Ref: title_draw2015926
Ref: transform2016356
Ref: transparent2017792
Ref: unit_vectors2018348
Ref: user_preamble2019047
Ref: view2020271
Ref: wired_surface2021191
Ref: x_voxel2021685
Ref: xaxis2021947
Ref: xaxis_color2022418
Ref: xaxis_secondary2022922
Ref: xaxis_type2023760
Ref: xaxis_width2024263
Ref: xlabel_draw2024734
Ref: xlabel_secondary2025281
Ref: xrange2026034
Ref: xrange_secondary2026570
Ref: xtics_draw2027089
Ref: xtics_axis2029071
Ref: xtics_rotate2029409
Ref: xtics_rotate_secondary2029679
Ref: xtics_secondary2029979
Ref: xtics_secondary_axis2030194
Ref: xu_grid2030562
Ref: xy_file2031095
Ref: xyplane2031464
Ref: y_voxel2031992
Ref: yaxis2032254
Ref: yaxis_color2032700
Ref: yaxis_secondary2033204
Ref: yaxis_type2033919
Ref: yaxis_width2034423
Ref: ylabel_draw2034894
Ref: ylabel_secondary2035448
Ref: yrange2036297
Ref: yrange_secondary2036897
Ref: ytics_draw2037737
Ref: ytics_axis2037930
Ref: ytics_rotate2038268
Ref: ytics_rotate_secondary2038538
Ref: ytics_secondary2038838
Ref: ytics_secondary_axis2039048
Ref: yv_grid2039416
Ref: z_voxel2039976
Ref: zaxis2040189
Ref: zaxis_color2040748
Ref: zaxis_type2041353
Ref: zaxis_width2041914
Ref: zlabel_draw2042481
Ref: zlabel_rotate2043068
Ref: zrange2043679
Ref: ztics_draw2044306
Ref: ztics_axis2044504
Ref: ztics_rotate2044842
Ref: bars2045161
Ref: cylindrical2046069
Ref: elevation_grid2046828
Ref: ellipse2047883
Ref: errors2049120
Ref: explicit2050582
Ref: image2052648
Ref: implicit2056490
Ref: label_draw2058473
Ref: mesh2059750
Ref: parametric2061211
Ref: parametric_surface2062732
Ref: points2064028
Ref: polar2070445
Ref: polygon2071346
Ref: quadrilateral2072276
Ref: rectangle2073449
Ref: region2074471
Ref: spherical2075249
Ref: triangle2076015
Ref: tube2077014
Ref: vector2077821
Ref: draw_renderer2079188
Node: Functions and Variables for pictures2079615
Ref: get_pixel2079867
Ref: make_level_picture2080035
Ref: make_rgb_picture2081211
Ref: negative_picture2082338
Ref: picture_equalp2082437
Ref: picturep2082555
Ref: read_xpm2082681
Ref: rgb2level2082773
Ref: take_channel2082910
Node: Functions and Variables for worldmap2083838
Ref: boundaries_array2084112
Ref: numbered_boundaries2084471
Ref: make_poly_continent2085006
Ref: make_poly_country2085618
Ref: make_polygon2085980
Ref: region_boundaries2089117
Ref: region_boundaries_plus2089668
Ref: geomap2090306
Node: drawdf-pkg2096610
Node: Introduction to drawdf2096795
Node: Functions and Variables for drawdf2098712
Ref: drawdf2098940
Node: dynamics-pkg2107484
Node: The dynamics package2107726
Node: Graphical analysis of discrete dynamical systems2108412
Ref: chaosgame2108678
Ref: evolution2109444
Ref: evolution2d2110190
Ref: ifs2111228
Ref: orbits2112652
Ref: staircase2114080
Node: Visualization with VTK2114950
Ref: scene2115409
Ref: scene_options2117676
Ref: scene_azimuth2117719
Ref: scene_background2118022
Ref: scene_elevation2118271
Ref: scene_height2118605
Ref: scene_restart2118783
Ref: scene_tstep2119036
Ref: scene_width2119240
Ref: scene_windowname2119415
Ref: scene_windowtitle2119720
Ref: scene_objects2119921
Ref: cone2119964
Ref: cube2120845
Ref: cylinder2121186
Ref: sphere2121843
Ref: object_options2121963
Ref: object_animation2122024
Ref: object_capping2122643
Ref: object_center2122901
Ref: object_color2123262
Ref: object_endphi2123479
Ref: object_endtheta2123945
Ref: object_height2124407
Ref: object_linewidth2124572
Ref: object_opacity2124759
Ref: object_orientation2125018
Ref: object_origin2125396
Ref: object_phiresolution2125672
Ref: object_points2125970
Ref: object_pointsize2126185
Ref: object_position2126369
Ref: object_radius2126590
Ref: object_resolution2126818
Ref: object_scale2127021
Ref: object_startphi2127476
Ref: object_starttheta2127943
Ref: object_surface2128406
Ref: object_thetaresolution2128709
Ref: object_track2129021
Ref: object_xlength2130012
Ref: object_ylength2130220
Ref: object_zlength2130428
Ref: object_wireframe2130636
Node: engineering-format-pkg2130852
Node: Functions and Variables for engineering-format2131219
Ref: engineering_format_floats2131460
Ref: engineering_format_min2132034
Ref: engineering_format_max2132817
Node: ezunits-pkg2133073
Node: Introduction to ezunits2133311
Node: Introduction to physical_constants2137038
Ref: physical_constants2137277
Node: Functions and Variables for ezunits2141977
Ref: constvalue2153078
Ref: declare_constvalue2153970
Ref: remove_constvalue2154574
Ref: units2154733
Ref: declare_units2156087
Ref: qty2156843
Ref: declare_qty2157818
Ref: unitp2158507
Ref: declare_unit_conversion2159726
Ref: declare_dimensions2161581
Ref: remove_dimensions2162565
Ref: declare_fundamental_dimensions2162738
Ref: declare_fundamental_units2164128
Ref: dimensions2165835
Ref: fundamental_units2167622
Ref: dimensionless2168998
Ref: natural_unit2170102
Node: f90-pkg2170348
Node: Package f902170476
Ref: f90_output_line_length_max2170582
Ref: function_f902172215
Node: finance-pkg2174303
Node: Introduction to finance2174492
Node: Functions and Variables for finance2175097
Ref: days3602175295
Ref: fv2175600
Ref: pv2175955
Ref: graph_flow2176313
Ref: annuity_pv2176698
Ref: annuity_fv2177109
Ref: geo_annuity_pv2177518
Ref: geo_annuity_fv2177985
Ref: amortization2178449
Ref: arit_amortization2179834
Ref: geo_amortization2181534
Ref: saving2183190
Ref: npv2184590
Ref: irr2184909
Ref: benefit_cost2185311
Node: fractals-pkg2185939
Node: Introduction to fractals2186232
Node: Definitions for IFS fractals2186850
Ref: sierpinskiale2187566
Ref: treefale2187938
Ref: fernfale2188227
Node: Definitions for complex fractals2188572
Ref: mandelbrot_set2188798
Ref: julia_set2189292
Ref: julia_parameter2189808
Ref: julia_sin2190110
Node: Definitions for Koch snowflakes2190919
Ref: snowmap2191141
Node: Definitions for Peano maps2191903
Ref: hilbertmap2192183
Ref: sierpinskimap2192430
Node: gentran-pkg2192685
Node: Introduction to Gentran2192944
Node: Functions for Gentran2193474
Node: Gentran Mode Switches2200967
Node: Gentran Option Variables2202975
Node: Gentran Evaluation Forms2210385
Node: ggf-pkg2213501
Node: Functions and Variables for ggf2213648
Ref: ggf2214946
Node: graphs-pkg2217018
Node: Introduction to graphs2217201
Node: Functions and Variables for graphs2218316
Ref: create_graph2218556
Ref: copy_graph2220620
Ref: circulant_graph2220690
Ref: clebsch_graph2221271
Ref: complement_graph2221335
Ref: complete_bipartite_graph2221419
Ref: complete_graph2221531
Ref: cycle_digraph2221616
Ref: cycle_graph2221700
Ref: cuboctahedron_graph2221773
Ref: cube_graph2221852
Ref: dodecahedron_graph2221923
Ref: empty_graph2221997
Ref: flower_snark2222076
Ref: from_adjacency_matrix2222325
Ref: frucht_graph2222432
Ref: graph_product2222494
Ref: graph_union2222743
Ref: grid_graph2222837
Ref: great_rhombicosidodecahedron_graph2222905
Ref: great_rhombicuboctahedron_graph2223011
Ref: grotzch_graph2223111
Ref: heawood_graph2223175
Ref: icosahedron_graph2223239
Ref: icosidodecahedron_graph2223311
Ref: induced_subgraph2223395
Ref: line_graph2223894
Ref: make_graph2223972
Ref: mycielski_graph2225200
Ref: new_graph2225290
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Ref: dimacs_import2260653
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Ref: graph6_encode2260861
Ref: graph6_export2260971
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Ref: poly_subtract2274933
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Ref: poly_reduced_grobner2281130
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Ref: poly_elimination_ideal2281455
Ref: poly_colon_ideal2281725
Ref: poly_ideal_intersection2281953
Ref: poly_lcm2282116
Ref: poly_gcd2282234
Ref: poly_grobner_equal2282876
Ref: poly_grobner_subsetp2283565
Ref: poly_grobner_member2283858
Ref: poly_ideal_saturation12284330
Ref: poly_ideal_saturation2284691
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Ref: poly_polysaturation_extension2286002
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Ref: cspline2304001
Ref: ratinterpol2308635
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Node: Introduction to lbfgs2334701
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Ref: lbfgs_ncorrections2350922
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Node: Introduction to linearalgebra2353067
Node: Functions and Variables for linearalgebra2357578
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Ref: columnop2358442
Ref: columnswap2358680
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Ref: diag_matrix2359658
Ref: dotproduct2360633
Ref: eigens_by_jacobi2360845
Ref: get_lu_factors2363981
Ref: hankel2364286
Ref: hessian2364575
Ref: hilbert_matrix2365704
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Ref: invert_by_lu2366422
Ref: jacobian2366591
Ref: kronecker_product2367549
Ref: listp2367657
Ref: locate_matrix_entry2368016
Ref: lu_backsub2368968
Ref: lu_factor2373277
Ref: mat_cond2378763
Ref: mat_norm2379290
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Ref: mat_fullunblocker2380151
Ref: mat_trace2380322
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Ref: orthogonal_complement2382357
Ref: polytocompanion2382634
Ref: ptringularize2382928
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Node: Introduction to lsquares2386288
Node: Functions and Variables for lsquares2386630
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Ref: lsquares_estimates_exact2393358
Ref: lsquares_estimates_approximate2395675
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Ref: makeOrders_func2417467
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Ref: Introduction to ODEPACK-Footnote-12439891
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Ref: opsubst_func2449999
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Node: Introduction to orthogonal polynomials2452534
Ref: Floating point Evaluation2463304
Node: Functions and Variables for orthogonal polynomials2470541
Ref: assoc_legendre_p2470801
Ref: assoc_legendre_q2472531
Ref: chebyshev_t2474039
Ref: chebyshev_u2475358
Ref: gen_laguerre2476795
Ref: hermite2478514
Ref: intervalp2480031
Ref: jacobi_p2480148
Ref: laguerre2481174
Ref: legendre_p2482457
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Ref: orthopoly_recur2485368
Ref: orthopoly_weight2486920
Ref: pochhammer2487665
Ref: spherical_bessel_j2489653
Ref: spherical_bessel_y2491400
Ref: spherical_hankel12493150
Ref: spherical_hankel22493485
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Ref: ultraspherical2496735
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Ref: ratp_lopow2523586
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End Tag Table


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