This is maxima.info, produced by makeinfo version 6.8 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: 1043391
maxima.info-3: 2029848

Tag Table:
(Indirect)
Node: Top264
Node: Introduction to Maxima17311
Node: Bug Detection and Reporting24087
Node: Functions and Variables for Bug Detection and Reporting24329
Ref: run_testsuite24569
Ref: testsuite_files26715
Ref: bug_report27542
Ref: build_info27924
Node: Help30309
Node: Documentation30490
Node: Functions and Variables for Help31467
Ref: apropos31626
Ref: demo33365
Ref: describe34562
Ref: output_format_for_help37604
Ref: browser38329
Ref: url_base39275
Ref: example39857
Ref: manual_demo41242
Node: Command Line41436
Node: Introduction to Command Line41694
Node: Functions and Variables for Command Line41908
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Ref: read63493
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Ref: reset64725
Ref: showtime65186
Ref: to_lisp65528
Ref: eval_string_lisp66630
Ref: values67336
Node: Functions and Variables for Display68377
Ref: %edispflag68591
Ref: absboxchar69191
Ref: declare_index_properties69517
Ref: get_index_properties73057
Ref: remove_index_properties73226
Ref: display_index_separator73512
Ref: disp78696
Ref: display79376
Ref: display2d80240
Ref: display_format_internal81937
Ref: with_default_2d_display82627
Ref: dispterms83060
Ref: expt84005
Ref: ncexpt84005
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Ref: obase95918
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Ref: powerdisp97906
Ref: print98703
Ref: sqrtdispflag100050
Ref: stardisp100199
Ref: ttyoff100363
Node: Data Types and Structures100709
Node: Numbers100956
Node: Introduction to Numbers101178
Node: Functions and Variables for Numbers101902
Ref: bfloat102098
Ref: bfloatp104201
Ref: bftorat104305
Ref: bftrunc105412
Ref: bigfloat_bits105695
Ref: bigfloat_eps106183
Ref: decode_float106699
Ref: evenp108216
Ref: float108421
Ref: float2bf108685
Ref: float_bits108899
Ref: float_eps109001
Ref: float_precision109126
Ref: floatnump109573
Ref: fpprec109690
Ref: fpprintprec109957
Ref: integerp110987
Ref: integer_decode_float111917
Ref: is_power_of_two114397
Ref: m1pbranch115925
Ref: nonnegintegerp116514
Ref: numberp116619
Ref: numer117782
Ref: numer_pbranch118489
Ref: numerval119615
Ref: oddp120060
Ref: ratepsilon120261
Ref: rationalize120529
Ref: ratnump122002
Ref: scale_float122140
Ref: unit_in_last_place123543
Node: Strings125566
Node: Introduction to Strings125772
Node: Functions and Variables for Strings127867
Ref: concat128063
Ref: sconcat129508
Ref: string130136
Ref: stringdisp130419
Node: Constants131185
Node: Functions and Variables for Constants131367
Ref: %e131557
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Ref: %gamma132135
Ref: ind132730
Ref: inf132927
Ref: infinity132993
Ref: least_negative_float133063
Ref: least_negative_normalized_float133426
Ref: least_positive_float133656
Ref: least_positive_normalized_float134018
Ref: minf134247
Ref: most_negative_float134329
Ref: most_positive_float134461
Ref: %phi134593
Ref: %pi137010
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Ref: und137352
Ref: zeroa137542
Ref: zerob137995
Node: Lists138215
Node: Introduction to Lists138451
Node: Functions and Variables for Lists139308
Ref: [139539
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Ref: append141047
Ref: assoc141400
Ref: cons142991
Ref: copylist144434
Ref: create_list144508
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Ref: listarith159689
Ref: lreduce160121
Ref: makelist161472
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Ref: ninth164690
Ref: pop164813
Ref: push165109
Ref: rest166399
Ref: reverse167491
Ref: rreduce167724
Ref: second169186
Ref: seventh169310
Ref: sixth169435
Ref: sort169558
Ref: sublist175441
Ref: sublist_indices175763
Ref: tenth176841
Ref: third176965
Ref: tree_reduce177088
Ref: unique178418
Ref: xreduce178797
Node: Performance considerations for Lists180470
Node: Arrays182725
Ref: hashed array182890
Ref: hashed arrays182890
Ref: undeclared array182890
Ref: undeclared arrays182890
Node: Functions and Variables for Arrays184088
Ref: array184263
Ref: arrayapply185075
Ref: arrayinfo185338
Ref: arraymake189752
Ref: arrays191545
Ref: arraysetapply192674
Ref: fillarray192892
Ref: listarray195067
Ref: make_array198776
Ref: rearray200914
Ref: remarray201284
Ref: subvar201843
Ref: subvarp202567
Ref: use_fast_arrays202682
Ref: translate_fast_arrays203340
Node: Structures203780
Node: Introduction to Structures203982
Node: Functions and Variables for Structures205609
Ref: structures205820
Ref: defstruct205940
Ref: new207497
Node: Expressions209893
Node: Introduction to Expressions210162
Node: Nouns and Verbs211753
Node: Identifiers214124
Node: Inequality216376
Node: Functions and Variables for Expressions216671
Ref: alias216866
Ref: aliases217095
Ref: allbut217340
Ref: args218336
Ref: atom219462
Ref: box219704
Ref: boxchar221829
Ref: collapse222148
Ref: copy222683
Ref: disolate223507
Ref: dispform224003
Ref: dpart225889
Ref: exptisolate226496
Ref: exptsubst226692
Ref: freeof227385
Ref: inflag231209
Ref: inpart231900
Ref: isolate233164
Ref: isolate_wrt_times234023
Ref: listconstvars234797
Ref: listdummyvars235278
Ref: listofvars235981
Ref: lfreeof236543
Ref: lpart237005
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Ref: operatorp241213
Ref: option_opsubst241564
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Ref: orderless242950
Ref: ordergreatp243744
Ref: orderlessp243744
Ref: part247475
Ref: partition248920
Ref: partswitch249507
Ref: pickapart249721
Ref: piece252696
Ref: psubst252907
Ref: rembox253740
Ref: reveal256231
Ref: sqrtdenest258763
Ref: sublis259625
Ref: sublis_apply_lambda260090
Ref: subnumsimp260360
Ref: subst260945
Ref: substinpart264273
Ref: substpart266684
Ref: symbolp267837
Ref: unorder267963
Ref: verbify269336
Node: Operators269715
Node: Introduction to operators270020
Node: Arithmetic operators274203
Ref: +274383
Ref: -274383
Ref: *274383
Ref: /274383
Ref: ^274383
Ref: **281380
Ref: ^^282153
Ref: .282899
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Node: Logical operators286017
Ref: and286186
Ref: not287187
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Node: Operators for Equations288721
Ref: #288902
Ref: =289659
Node: Assignment operators293709
Ref: :293889
Ref: ::296678
Ref: ::=297426
Ref: :=300367
Node: User defined operators306090
Ref: infix306242
Ref: matchfix310512
Ref: function_nary315161
Ref: nofix315744
Ref: postfix316293
Ref: prefix316764
Node: Evaluation317152
Node: Functions and Variables for Evaluation317323
Ref: quote317514
Ref: quote-quote322126
Ref: ev327599
Ref: eval336277
Ref: evflag336823
Ref: evfun339362
Ref: infeval342259
Ref: noeval342624
Ref: nouns342842
Ref: pred343120
Node: Simplification343475
Node: Introduction to Simplification343704
Node: Functions and Variables for Simplification353695
Ref: additive353922
Ref: antisymmetric354825
Ref: combine355858
Ref: commutative356440
Ref: demoivre357177
Ref: function_distrib357844
Ref: distribute_over358741
Ref: domain360978
Ref: evenfun361149
Ref: oddfun361149
Ref: expand361823
Ref: expandwrt365999
Ref: expandwert_denom366567
Ref: expandwrt_factored366961
Ref: expon367305
Ref: exponentialize367582
Ref: expop368152
Ref: lassociative368582
Ref: linear368818
Ref: maxnegex370478
Ref: maxposex370658
Ref: multiplicative370831
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Ref: define_opproperty376976
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Ref: radcan379782
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Ref: scsimp382049
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Node: Elementary Functions385565
Node: Functions for Numbers385915
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Ref: ceiling389488
Ref: entier393190
Ref: floor393394
Ref: fix395274
Ref: hstep395335
Ref: lmax395626
Ref: lmin395810
Ref: max395994
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Ref: round399461
Ref: signum399784
Ref: truncate400533
Node: Functions for Complex Numbers400843
Ref: cabs401062
Ref: carg404916
Ref: conjugate406805
Ref: imagpart407327
Ref: polarform407907
Ref: realpart408569
Ref: rectform409145
Node: Combinatorial Functions409600
Ref: !!409828
Ref: binomial410527
Ref: factcomb411528
Ref: !412442
Ref: factorial412442
Ref: factlim415945
Ref: factorial_expand416133
Ref: genfact416369
Ref: minfactorial416600
Ref: sumsplitfact417143
Node: Root Exponential and Logarithmic Functions418137
Ref: %e_to_numlog418399
Ref: %emode418804
Ref: %enumer420396
Ref: exp421438
Ref: li422372
Ref: log424923
Ref: logabs426340
Ref: logarc427048
Ref: logconcoeffp427273
Ref: logcontract427690
Ref: logexpand428683
Ref: lognegint431783
Ref: logsimp431939
Ref: plog432088
Ref: sqrt432231
Node: Trigonometric Functions432381
Node: Introduction to Trigonometric432684
Node: Functions and Variables for Trigonometric433657
Node: Trigonometric and Hyperbolic Functions434058
Ref: acos434364
Ref: acosh434410
Ref: acot434468
Ref: acoth434517
Ref: acsc434578
Ref: acsch434626
Ref: asec434686
Ref: asech434732
Ref: asin434790
Ref: asinh434834
Ref: atan434890
Ref: atan2434961
Ref: atanh435146
Ref: cos435205
Ref: cosh435246
Ref: cot435299
Ref: coth435343
Ref: csc435399
Ref: csch435442
Ref: sec435497
Ref: sech435538
Ref: sin435591
Ref: sinh435630
Ref: tan435681
Ref: tanh435723
Node: Options Controlling Simplification435777
Ref: %piargs436075
Ref: %iargs438053
Ref: halfangles439085
Ref: trigsign440953
Node: Explicit Simplifications Using Identities441199
Ref: trigexpand441493
Ref: trigexpandplus442893
Ref: trigexpandtimes443213
Ref: triginverses443543
Ref: trigreduce444030
Ref: trigsimp444656
Ref: trigrat445025
Node: Additional Functions447891
Ref: atrig1448100
Ref: ntrig448493
Node: Random Numbers448771
Ref: make_random_state448915
Ref: set_random_state449674
Ref: random449815
Node: Maxima's Database451456
Node: Introduction to Maxima's Database451774
Node: Functions and Variables for Properties452013
Ref: alphabetic452278
Ref: bindtest452920
Ref: constant453496
Ref: constantp454060
Ref: declare455312
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Ref: decreasing460416
Ref: increasing460416
Ref: even461019
Ref: odd461019
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Ref: featurep462044
Ref: features462565
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Ref: integer465012
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Ref: nonarray465985
Ref: nonscalar466563
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Ref: printprops467076
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Ref: qput469127
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Node: Functions and Variables for Facts472680
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Ref: compare490358
Ref: equal491492
Ref: notequal495696
Ref: unknown496631
Ref: zeroequiv496785
Node: Plotting497953
Node: Introduction to Plotting498259
Node: Plotting Formats500902
Node: Functions and Variables for Plotting504495
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Ref: get_plot_option505173
Ref: gnuplot_command505584
Ref: gnuplot_file_args506058
Ref: gnuplot_view_args506672
Ref: julia508115
Ref: make_transform509856
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Ref: polar_to_xy512075
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Ref: set_plot_option525891
Ref: spherical_to_xyz527153
Node: Plotting Options527599
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Ref: filename_merge575096
Ref: file_search575458
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Node: Polynomials606662
Node: Introduction to Polynomials606980
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Ref: content615726
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Ref: lowpow641775
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Ref: modulus644003
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Ref: polynomialp648925
Ref: quotient650922
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Ref: untelltat678911
Node: Introduction to algebraic extensions679015
Node: Functions and Variables for algebraic extensions682475
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Ref: algnorm683372
Ref: algtrace683909
Ref: bdiscr684282
Ref: primelmt684959
Ref: splitfield687325
Node: Special Functions689290
Node: Introduction to Special Functions689737
Node: Bessel Functions691930
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Ref: bessel_i693666
Ref: bessel_k694508
Ref: hankel_1695254
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Ref: scaled_bessel_i1700541
Ref: %s700622
Node: Airy Functions701710
Ref: airy_ai702703
Ref: airy_dai702938
Ref: airy_bi703077
Ref: airy_dbi703297
Node: Gamma and Factorial Functions703454
Ref: bffac703823
Ref: bfpsi704323
Ref: cbffac705357
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Ref: gamma_incomplete709932
Ref: gamma_incomplete_regularized710714
Ref: gamma_incomplete_generalized711301
Ref: gamma_expand711978
Ref: gammalim713643
Ref: makegamma714043
Ref: beta714738
Ref: beta_incomplete_regularized725362
Ref: beta_expand735252
Ref: polygamma735728
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Ref: maxpsinegint738431
Ref: maxpsifracnum739846
Ref: maxpsifracdenom740910
Ref: makefact741984
Node: Exponential Integrals743206
Ref: expintegral_e1743589
Ref: expintegral_e744738
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Ref: expintegral_shi745855
Ref: expintegral_chi746199
Ref: expintrep746597
Ref: expintexpand756995
Node: Error Function758119
Ref: erf758507
Ref: erfc758901
Ref: erfi759246
Ref: erf_generalized759332
Ref: fresnel_c759593
Ref: fresnel_s760116
Ref: erf_representation760634
Ref: hypergeometric_representation764967
Node: Struve Functions767713
Ref: struve_h768347
Ref: struve_l768852
Node: Hypergeometric Functions769312
Ref: hgfred773783
Node: Parabolic Cylinder Functions775974
Ref: parabolic_cylinder_d776496
Node: Functions and Variables for Special Functions777054
Ref: kbateman777863
Node: Elliptic Functions778456
Node: Introduction to Elliptic Functions and Integrals778765
Node: Functions and Variables for Elliptic Functions782807
Ref: jacobi_sn783267
Ref: jacobi_cn783348
Ref: jacobi_dn783429
Ref: jacobi_ns783510
Ref: jacobi_sc783603
Ref: jacobi_sd783702
Ref: jacobi_nc783801
Ref: jacobi_cs783894
Ref: jacobi_cd783993
Ref: jacobi_nd784092
Ref: jacobi_ds784185
Ref: jacobi_dc784284
Ref: inverse_jacobi_sn784383
Ref: inverse_jacobi_cn784997
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Ref: inverse_jacobi_ns786216
Ref: inverse_jacobi_sc786825
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Node: Functions and Variables for Elliptic Integrals791690
Ref: elliptic_f791951
Ref: elliptic_e792168
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Ref: carlson_rc793528
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Node: Functions and Variables for Limits795510
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Ref: limit795917
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Ref: tlimit798229
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Ref: gruntz798930
Node: Differentiation800285
Node: Functions and Variables for Differentiation800472
Ref: antid800690
Ref: antidiff803092
Ref: at805328
Ref: atomgrad808398
Ref: atvalue808534
Ref: cartan811125
Ref: init_cartan811698
Ref: del812442
Ref: delta813178
Ref: dependencies813533
Ref: depends815188
Ref: derivabbrev817820
Ref: derivdegree818073
Ref: derivlist818689
Ref: derivsubst818844
Ref: diff819048
Ref: symbol_diff822399
Ref: express822549
Ref: gradef825262
Ref: gradefs827262
Node: Integration827541
Node: Introduction to Integration827821
Node: Functions and Variables for Integration828805
Ref: changevar829052
Ref: dblint831358
Ref: defint833831
Ref: erfflag834382
Ref: ilt834600
Ref: intanalysis836905
Ref: integrate838382
Ref: integration_constant846847
Ref: integration_constant_counter847711
Ref: integrate_use_rootsof849061
Ref: laplace851411
Ref: ldefint856067
Ref: pwilt856784
Ref: potential857761
Ref: prefer_d858309
Ref: residue859530
Ref: risch860207
Ref: specint861257
Ref: tldefint865644
Node: Introduction to QUADPACK865755
Ref: Introduction to QUADPACK-Footnote-1869471
Ref: Introduction to QUADPACK-Footnote-2869537
Ref: Introduction to QUADPACK-Footnote-3869603
Ref: Introduction to QUADPACK-Footnote-4869647
Ref: Introduction to QUADPACK-Footnote-5869709
Ref: Introduction to QUADPACK-Footnote-6869749
Ref: Introduction to QUADPACK-Footnote-7869791
Node: Functions and Variables for QUADPACK869976
Ref: quad_qag870178
Ref: quad_qags872919
Ref: quad_qagi875082
Ref: quad_qawc877548
Ref: quad_qawf880723
Ref: quad_qawo883370
Ref: quad_qaws886275
Ref: quad_qagp889167
Ref: quad_control891720
Node: Equations892322
Node: Functions and Variables for Equations892501
Ref: %rnum892689
Ref: %rnum_list892929
Ref: algepsilon893971
Ref: algexact894069
Ref: algsys894650
Ref: allroots899440
Ref: bfallroots901803
Ref: backsubst902206
Ref: breakup902920
Ref: dimension906194
Ref: dispflag906442
Ref: funcsolve906737
Ref: globalsolve907675
Ref: ieqn909683
Ref: ieqnprint913655
Ref: lhs914331
Ref: linsolve915962
Ref: linsolvewarn919094
Ref: linsolve_params919260
Ref: multiplicities919627
Ref: nroots919829
Ref: nthroot920231
Ref: polyfactor920572
Ref: programmode920904
Ref: realonly921352
Ref: realroots921511
Ref: rhs923662
Ref: rootsconmode925287
Ref: rootscontract925461
Ref: rootsepsilon928129
Ref: solve928325
Ref: solvedecomposes935350
Ref: solveexplicit935518
Ref: solvefactors935752
Ref: solvenullwarn935993
Ref: solveradcan936290
Ref: solvetrigwarn936533
Node: Differential Equations936781
Node: Introduction to Differential Equations937040
Node: Functions and Variables for Differential Equations937659
Ref: bc2937928
Ref: desolve938536
Ref: ic1940627
Ref: ic2941065
Ref: ode2941720
Ref: method945698
Ref: %c945812
Ref: %k1945933
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Node: Introduction to fast Fourier transform946801
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Ref: polartorect947641
Ref: recttopolar948247
Ref: inverse_fft948925
Ref: fft951511
Ref: real_fft956043
Ref: inverse_real_fft956788
Ref: bf_inverse_fft957149
Ref: bf_fft957369
Ref: bf_real_fft957573
Ref: bf_inverse_real_fft957763
Node: Functions and Variables for FFTPACK5957952
Ref: fftpack5_fft958652
Ref: fftpack5_inverse_fft960938
Ref: fftpack5_real_fft961104
Ref: fftpack5_inverse_real_fft961956
Node: Functions for numerical solution of equations962388
Ref: horner962696
Ref: find_root963828
Ref: bf_find_root963828
Ref: find_root_error963828
Ref: find_root_abs963828
Ref: find_root_rel963828
Ref: newton967868
Node: Introduction to numerical solution of differential equations969157
Node: Functions for numerical solution of differential equations970474
Ref: plotdf970776
Ref: rk980925
Node: Matrices and Linear Algebra984435
Node: Introduction to Matrices and Linear Algebra984716
Node: Dot985075
Node: Matrices986479
Node: Vectors987976
Node: eigen989064
Node: Functions and Variables for Matrices and Linear Algebra989857
Ref: addcol990151
Ref: addrow990341
Ref: adjoint990528
Ref: augcoefmatrix990679
Ref: cauchy_matrix991343
Ref: charpoly992746
Ref: coefmatrix994376
Ref: col994824
Ref: columnvector994941
Ref: covect994941
Ref: copymatrix995889
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Ref: diagmatrix997656
Ref: doallmxops998145
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Ref: domxmxops999693
Ref: domxnctimes999955
Ref: dontfactor1000112
Ref: doscmxops1000543
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Ref: dot0nscsimp1000882
Ref: dot0simp1001079
Ref: dot1simp1001267
Ref: dotassoc1001453
Ref: dotconstrules1001598
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Ref: dotscrules1002305
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Ref: eivals1003959
Ref: eigenvectors1005572
Ref: eivects1005572
Ref: ematrix1010365
Ref: entermatrix1010536
Ref: genmatrix1011906
Ref: gramschmidt1014657
Ref: ident1017175
Ref: innerproduct1017247
Ref: inprod1017247
Ref: invert_by_adjoint1017710
Ref: invert1017938
Ref: list_matrix_entries1019040
Ref: lmxchar1019268
Ref: matrix1019775
Ref: matrixexp1025799
Ref: matrixmap1026234
Ref: matrixp1026396
Ref: matrix_element_add1026491
Ref: matrix_element_mult1027795
Ref: matrix_element_transpose1029765
Ref: mattrace1031957
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Ref: scalefactors1035206
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Ref: similaritytransform1036490
Ref: simtran1036490
Ref: sparse1037676
Ref: submatrix1037880
Ref: transpose1038194
Ref: triangularize1038584
Ref: uniteigenvectors1039634
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Ref: unitvector1040917
Ref: uvect1040917
Ref: vectorpotential1041150
Ref: vectorsimp1041474
Ref: vect_cross1042808
Ref: zeromatrix1043022
Node: Affine1043391
Node: Introduction to Affine1043586
Node: Functions and Variables for Affine1043825
Ref: fast_linsolve1044014
Ref: grobner_basis1044678
Ref: set_up_dot_simplifications1045266
Ref: declare_weights1046168
Ref: nc_degree1046411
Ref: dotsimp1046575
Ref: fast_central_elements1046823
Ref: check_overlaps1047236
Ref: mono1047864
Ref: monomial_dimensions1048106
Ref: extract_linear_equations1048272
Ref: list_nc_monomials1048660
Ref: all_dotsimp_denoms1048954
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Node: Introduction to itensor1049475
Node: Functions and Variables for itensor1062194
Ref: dispcon1062453
Ref: entertensor1062721
Ref: changename1063038
Ref: listoftens1063419
Ref: ishow1063955
Ref: indices1064298
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Ref: remcon1070086
Ref: contract_Itensor1070349
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Ref: components1071077
Ref: remcomps1075204
Ref: showcomps1075335
Ref: idummy1077762
Ref: idummyx1078069
Ref: icounter1078196
Ref: kdelta1078433
Ref: kdels1079231
Ref: levi_civita1080094
Ref: lc2kdt1080350
Ref: lc_l1083797
Ref: lc_u1084871
Ref: canten1085161
Ref: concan1085738
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Ref: decsym1086240
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Ref: itensor_diff1090154
Ref: idiff1091543
Ref: liediff1092256
Ref: rediff1093056
Ref: undiff1093181
Ref: evundiff1093672
Ref: flush1096048
Ref: flushd1096208
Ref: flushnd1096366
Ref: coord1097089
Ref: remcoord1097485
Ref: makebox1097778
Ref: conmetderiv1098036
Ref: simpmetderiv1098910
Ref: flush1deriv1102030
Ref: imetric1102244
Ref: idim1102634
Ref: ichr11102808
Ref: ichr21103164
Ref: icurvature1103452
Ref: covdiff1104027
Ref: lorentz1105963
Ref: igeodesic_coords1106163
Ref: iframes1111388
Ref: ifb1111588
Ref: icc11112592
Ref: icc21113193
Ref: ifc11113833
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Ref: ifri1114806
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Ref: iframe_bracket_form1115222
Ref: inm1115681
Ref: inmc11116018
Ref: inmc21116385
Ref: ikt11116923
Ref: ikt21117361
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Ref: ~1122205
Ref: |1123771
Ref: extdiff1125158
Ref: hodge1126641
Ref: igeowedge_flag1128141
Ref: tentex1128946
Ref: ic_convert1130426
Node: ctensor1133182
Node: Introduction to ctensor1133362
Node: Functions and Variables for ctensor1137763
Ref: csetup1138022
Ref: cmetric1138233
Ref: ct1139156
Ref: init1145381
Ref: christof1146750
Ref: ricci1147645
Ref: uricci1147915
Ref: scurvature1148448
Ref: einstein1148609
Ref: leinstein1149204
Ref: riemann1149608
Ref: lriemann1150859
Ref: uriemann1151330
Ref: rinvariant1151524
Ref: weyl1151771
Ref: ctaylor1152828
Ref: frame1158343
Ref: nptetrad1158941
Ref: psi1159643
Ref: petrov1160921
Ref: contortion1166273
Ref: nonmetricity1166391
Ref: ctransform1166578
Ref: findde1166971
Ref: cograd1169317
Ref: contragrad1169515
Ref: ctensor_dscalar1170653
Ref: checkdiv1171556
Ref: cgeodesic1171999
Ref: bdvac1172292
Ref: invariant11172688
Ref: invariant21172894
Ref: bimetric1173152
Ref: diagmatrixp1173400
Ref: symmetricp1173546
Ref: ntermst1173882
Ref: cdisplay1174252
Ref: deleten1187796
Ref: dim1187981
Ref: diagmetric1188231
Ref: ctrgsimp1188690
Ref: cframe_flag1188887
Ref: ctorsion_flag1189319
Ref: cnonmet_flag1189560
Ref: ctayswitch1189843
Ref: ctayvar1190098
Ref: ctaypov1190215
Ref: ctaypt1190338
Ref: gdet1190472
Ref: ratchristof1190614
Ref: rateinstein1190714
Ref: ratriemann1190956
Ref: ratweyl1191234
Ref: lfg1191491
Ref: ufg1191681
Ref: riem1191820
Ref: lriem1192105
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Ref: ric1192273
Ref: uric1192348
Ref: lg1192427
Ref: ug1192579
Ref: weyl_variable1192661
Ref: fb1192725
Ref: kinvariant1192809
Ref: np1192895
Ref: npi1192974
Ref: tr1193606
Ref: kt1193708
Ref: nm1193791
Ref: nmc1193875
Ref: tensorkill1193974
Ref: ct_coords1194133
Node: atensor1197538
Node: Introduction to atensor1197735
Node: Functions and Variables for atensor1201663
Ref: init_atensor1201857
Ref: atensimp1204361
Ref: alg_type1204769
Ref: adim1204922
Ref: aform1205123
Ref: asymbol1205294
Ref: sf1205376
Ref: af1205663
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Ref: abasep1206981
Node: Sums Products and Series1207237
Node: Functions and Variables for Sums and Products1207655
Ref: bashindices1207928
Ref: lsum1208357
Ref: intosum1209044
Ref: simpproduct1209551
Ref: product1209949
Ref: simpsum1212479
Ref: sum1212854
Ref: sumcontract1217453
Ref: sumexpand1218042
Node: Introduction to Series1218989
Node: Functions and Variables for Series1219564
Ref: cauchysum1219810
Ref: deftaylor1221091
Ref: maxtayorder1222421
Ref: niceindices1222660
Ref: niceindicespref1224091
Ref: nusum1225133
Ref: pade1227281
Ref: powerseries1230359
Ref: psexpand1232277
Ref: revert1232730
Ref: taylor1234603
Ref: taylordepth1242544
Ref: taylorinfo1242797
Ref: taylorp1243691
Ref: taylor_logexpand1243797
Ref: taylor_order_coefficients1244402
Ref: taylor_simplifier1244684
Ref: taylor_truncate_polynomials1244820
Ref: taytorat1245115
Ref: trunc1245311
Ref: unsum1245884
Ref: verbose1247092
Node: Introduction to Fourier series1247222
Node: Functions and Variables for Fourier series1247710
Ref: equalp1248000
Ref: remfun1248174
Ref: funp1248505
Ref: absint1248847
Ref: fourier1249469
Ref: foursimp1249611
Ref: sinnpiflag1249765
Ref: cosnpiflag1249847
Ref: fourexpand1249929
Ref: fourcos1250176
Ref: foursin1250304
Ref: totalfourier1250430
Ref: fourint1250560
Ref: fourintcos1250712
Ref: forintsin1250839
Node: Functions and Variables for Poisson series1250964
Ref: intopois1251215
Ref: outopois1251288
Ref: poisdiff1251647
Ref: poisexpt1251805
Ref: poisint1251932
Ref: poislim1252113
Ref: poismap1252409
Ref: poisplus1252727
Ref: poissimp1252817
Ref: poisson1252928
Ref: poissubst1253039
Ref: poistimes1253934
Ref: poistrim1254027
Ref: printpois1254406
Node: Number Theory1254593
Node: Functions and Variables for Number Theory1254789
Ref: bern1254997
Ref: bernpoly1255755
Ref: bfzeta1255857
Ref: bfhzeta1256054
Ref: burn1256664
Ref: chinese1257567
Ref: cf1258518
Ref: cfdisrep1261410
Ref: cfexpand1262095
Ref: cflength1262736
Ref: divsum1263351
Ref: euler1263915
Ref: factors_only1264438
Ref: fib1264809
Ref: fibtophi1265136
Ref: ifactors1266332
Ref: igcdex1267542
Ref: inrt1268222
Ref: inv_mod1268512
Ref: isqrt1268915
Ref: jacobi1269038
Ref: lcm1269295
Ref: lucas1269511
Ref: mod1269907
Ref: next_prime1271142
Ref: partfrac1271298
Ref: power_mod1272611
Ref: primep1273152
Ref: primep_number_of_tests1273914
Ref: primes1274037
Ref: prev_time1274213
Ref: qunit1274370
Ref: totient1274786
Ref: zeta1275146
Ref: zeta%pi1276532
Ref: zn_add_table1277135
Ref: zn_characteristic_factors1277278
Ref: zn_carmichael_lambda1280795
Ref: zn_determinant1281010
Ref: zn_factor_generators1282101
Ref: zn_invert_by_lu1282329
Ref: zn_log1283343
Ref: zn_mult_table1286515
Ref: zn_nth_root1291912
Ref: zn_order1296653
Ref: zn_power_table1298864
Ref: zn_primroot1303665
Ref: zn_primroot_limit1306125
Ref: zn_primroot_p1306436
Ref: zn_primroot_pretest1308234
Ref: zn_primroot_verbose1308722
Node: Symmetries1308886
Node: Introduction to Symmetries1309086
Node: Functions and Variables for Symmetries1310545
Ref: comp2pui1310799
Ref: ele2pui1311398
Ref: ele2comp1311607
Ref: elem1311816
Ref: mon2schur1313253
Ref: multi1314392
Ref: multi_pui1315122
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Ref: pui2comp1316901
Ref: pui2ele1318160
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Ref: contract1320395
Ref: explose1321232
Ref: part2cont1321496
Ref: partpol1321850
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Ref: tpartpol1322348
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Ref: multi_orbit1326284
Ref: multsym1326957
Ref: orbit1327775
Ref: pui_direct1328324
Ref: kostka1330558
Ref: lgtreillis1330804
Ref: ltreillis1331048
Ref: treillis1331322
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Ref: ele2polynome1332171
Ref: polynome2ele1332988
Ref: prodrac1333577
Ref: pui2polynome1333823
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Ref: resolvante1334771
Ref: resolvante_alternee11342122
Ref: resolvante_bipartite1342494
Ref: resolvante_diedrale1343053
Ref: resolvante_klein1343743
Ref: resolvante_klein31344068
Ref: resolvante_produit_sym1344393
Ref: resolvante_unitaire1345466
Ref: resolvante_vierer1345789
Ref: multinomial1346155
Ref: permut1346429
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Node: Functions and Variables for Groups1346675
Ref: todd_coxeter1346848
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Node: Introduction for Runtime Environment1348902
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Node: Functions and Variables for Runtime Environment1351133
Ref: maxima_tempdir1351362
Ref: maxima_userdir1351817
Ref: room1352514
Ref: sstatus1352915
Ref: status1353373
Ref: system1354374
Ref: time1355182
Ref: timedate1355666
Ref: parse_timedate1357595
Ref: encode_time1361227
Ref: decode_time1363743
Ref: absolute_real_time1365485
Ref: elapsed_real_time1365915
Ref: elapsed_run_time1366414
Node: Miscellaneous Options1366966
Node: Introduction to Miscellaneous Options1367249
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Node: Functions and Variables for Miscellaneous Options1368169
Ref: askexp1368401
Ref: genindex1368630
Ref: gensumnum1368796
Ref: gensym1369045
Ref: packagefile1370012
Ref: remvalue1370726
Ref: rncombine1371168
Ref: setup_autoload1371865
Ref: tcl_output1373254
Node: Rules and Patterns1374464
Node: Introduction to Rules and Patterns1374710
Node: Functions and Variables for Rules and Patterns1375741
Ref: apply11375990
Ref: apply21376638
Ref: applyb11377173
Ref: current_let_rule_package1377884
Ref: default_let_rule_package1378459
Ref: defmatch1378743
Ref: defrule1383276
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Ref: let1385355
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Ref: letrules1390445
Ref: letsimp1390983
Ref: let_rule_packages1393213
Ref: matchdeclare1393434
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Ref: maxapplyheight1401465
Ref: remlet1401626
Ref: remrule1402588
Ref: tellsimp1404626
Ref: tellsimpafter1407058
Ref: clear_rules1416261
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Node: Introduction to Sets1416618
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Ref: cardinality1425430
Ref: cartesian_product1425962
Ref: cartesian_product_list1426717
Ref: disjoin1430397
Ref: disjointp1431079
Ref: divisors1431464
Ref: elementp1433038
Ref: emptyp1433426
Ref: equiv_classes1433743
Ref: every1435088
Ref: extremal_subset1437903
Ref: flatten1438677
Ref: full_listify1441260
Ref: fullsetify1441790
Ref: identity1442379
Ref: integer_partitions1442655
Ref: intersect1444534
Ref: intersection1444639
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Ref: moebius1448490
Ref: multinomial_coeff1449708
Ref: num_distinct_partitions1451003
Ref: num_partitions1451873
Ref: partition_set1452789
Ref: permutations1453532
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Ref: random_permutation1455196
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Ref: subsetp1466552
Ref: symmdifference1466945
Ref: union1467980
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Node: Introduction to Function Definition1469222
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Ref: memoizing function1472811
Ref: memoizing functions1472811
Ref: Memoizing function1472811
Ref: Memoizing functions1472811
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Ref: macroexpand11481376
Ref: macros1482514
Ref: splice1482837
Node: Functions and Variables for Function Definition1484467
Ref: apply1484692
Ref: block1487308
Ref: break1490500
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Ref: compile1492637
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Ref: define_variable1498289
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Ref: fullmapl1506888
Ref: functions1507152
Ref: fundef1508973
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Ref: mode_declare1526488
Ref: modedeclare1526488
Ref: mode_checkp1530141
Ref: mode_check_errorp1531238
Ref: mode_check_warnp1531376
Ref: mode_identity1531510
Ref: remfunction1532998
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Ref: translate_file1536512
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Ref: tr_bound_function_applyp1539631
Ref: tr_file_tty_messagesp1540683
Ref: tr_float_can_branch_complex1541047
Ref: tr_function_call_default1541530
Ref: tr_numer1542228
Ref: tr_optimize_max_loop1542393
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Ref: garbage_collect1551287
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Ref: backtrace1552204
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Ref: while1553834
Ref: unless1553834
Ref: for1553834
Ref: from1553834
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Node: Source Level Debugging1584972
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Ref: timer_devalue1595730
Ref: timer_info1596150
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Ref: trace_options1598016
Ref: untrace1600195
Node: alt-display-pkg1600538
Node: Introduction to alt-display1600747
Node: Functions and Variables for alt-display1603552
Ref: alt_display_output_type1603770
Ref: define_alt_display1605516
Ref: info_display1607135
Ref: mathml_display1607456
Ref: tex_display1607818
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Ref: reset_displays1609009
Ref: set_alt_display1609170
Ref: set_prompt1609966
Ref: Functions and Variables for alt-display-Footnote-11612510
Node: asympa-pkg1612641
Node: Introduction to asympa1612845
Ref: asympa1613033
Node: Functions and variables for asympa1613353
Node: augmented_lagrangian-pkg1613546
Node: Functions and Variables for augmented_lagrangian1613763
Ref: augmented_lagrangian_method1614014
Node: Bernstein-pkg1617672
Node: Functions and Variables for Bernstein1617857
Ref: bernstein_poly1618053
Ref: bernstein_explicit1619919
Ref: multibernstein_poly1620548
Ref: bernstein_approx1620979
Ref: bernstein_expand1622231
Node: bitwise-pkg1622726
Node: Functions and Variables for bitwise1623187
Ref: bit_not1623357
Ref: bit_and1623898
Ref: bit_or1624751
Ref: bit_xor1625598
Ref: bit_lsh1626455
Ref: bit_rsh1627207
Ref: bit_length1627975
Ref: bit_onep1628498
Node: bode-pkg1630064
Node: Functions and Variables for bode1630215
Ref: bode_gain1630386
Ref: bode_phase1631790
Node: celine-pkg1633442
Node: Introduction to celine1633594
Node: clebsch_gordan-pkg1637427
Node: Functions and Variables for clebsch_gordan1637617
Ref: clebsch_gordan1637838
Ref: racah_v1637973
Ref: racah_w1638132
Ref: wigner_3j1638275
Ref: wigner_6j1638436
Ref: wigner_9j1638532
Node: cobyla-pkg1638653
Node: Introduction to cobyla1638877
Node: Functions and Variables for cobyla1641348
Ref: fmin_cobyla1641569
Ref: bf_fmin_cobyla1644319
Node: Examples for cobyla1644702
Node: combinatorics-pkg1646349
Node: Package combinatorics1646566
Node: Functions and Variables for Combinatorics1648535
Ref: apply_cycles1648755
Ref: cyclep1649504
Ref: perm_cycles1650122
Ref: perm_decomp1650532
Ref: perm_inverse1650967
Ref: perm_length1651411
Ref: perm_lex_next1651876
Ref: perm_lex_rank1652215
Ref: perm_lex_unrank1652627
Ref: perm_next1652998
Ref: perm_parity1653355
Ref: perm_rank1653795
Ref: perm_undecomp1654193
Ref: perm_unrank1654543
Ref: permp1654900
Ref: perms1655346
Ref: perms_lex1656838
Ref: permult1658630
Ref: permute1658903
Ref: random_perm1659512
Node: contrib_ode-pkg1659775
Node: Introduction to contrib_ode1660100
Node: Functions and Variables for contrib_ode1665823
Ref: contrib_ode1666086
Ref: odelin1666245
Ref: ode_check1667019
Ref: gauss_a1668176
Ref: gauss_b1668728
Ref: dgauss_a1668792
Ref: dgauss_b1668918
Ref: kummer_m1669044
Ref: kummer_u1669454
Ref: dkummer_m1669637
Ref: dkummer_u1669750
Ref: bessel_simplify1669863
Ref: expintegral_e_simplify1671003
Node: Possible improvements to contrib_ode1671252
Node: Test cases for contrib_ode1672366
Node: References for contrib_ode1673130
Node: descriptive-pkg1674675
Node: Introduction to descriptive1675000
Node: Functions and Variables for data manipulation1680098
Ref: build_sample1680393
Ref: continuous_freq1682746
Ref: discrete_freq1686412
Ref: standardize1687744
Ref: subsample1688121
Ref: transform_sample1694323
Node: Functions and Variables for descriptive statistics1695911
Ref: mean1696235
Ref: var1697108
Ref: var11697718
Ref: std1698569
Ref: std11699211
Ref: noncentral_moment1699860
Ref: central_moment1700797
Ref: cv1701752
Ref: smin1702398
Ref: smax1703032
Ref: range1703669
Ref: quantile1704145
Ref: median1705055
Ref: qrange1705791
Ref: mean_deviation1706535
Ref: median_deviation1707500
Ref: harmonic_mean1708391
Ref: geometric_mean1709322
Ref: kurtosis1710245
Ref: skewness1711122
Ref: pearson_skewness1712011
Ref: quartile_skewness1712840
Ref: km1713757
Ref: cdf_empirical1715227
Ref: cov1716249
Ref: cov11717515
Ref: global_variances1718781
Ref: cor1720585
Ref: list_correlations1722761
Ref: principal_components1725950
Node: Functions and Variables for statistical graphs1730211
Ref: barsplot1730473
Ref: barsplot_description1734991
Ref: boxplot1735887
Ref: boxplot_description1739596
Ref: histogram1739779
Ref: histogram_description1745003
Ref: histogram_skyline1746018
Ref: piechart1747523
Ref: piechart_description1749141
Ref: scatterplot1749326
Ref: scatterplot_description1751273
Ref: starplot1751469
Ref: starplot_description1753762
Ref: stemplot1753947
Node: diag-pkg1754949
Node: Functions and Variables for diag1755105
Ref: diag_function1755276
Ref: JF1756539
Ref: jordan1757355
Ref: dispJordan1759781
Ref: minimalPoly1760941
Ref: ModeMatrix1761681
Ref: mat_function1763407
Node: distrib-pkg1767510
Node: Introduction to distrib1767768
Node: Functions and Variables for continuous distributions1773768
Node: Normal Random Variable1774695
Ref: pdf_normal1775096
Ref: cdf_normal1775677
Ref: quantile_normal1776518
Ref: mean_normal1777131
Ref: var_normal1777369
Ref: std_normal1777662
Ref: skewness_normal1777944
Ref: kurtosis_normal1778224
Ref: random_normal1778532
Node: Student's t Random Variable1779025
Ref: pdf_student_t1779573
Ref: cdf_student_t1780336
Ref: quantile_student_t1781190
Ref: mean_student_t1781484
Ref: var_student_t1781721
Ref: std_student_t1782203
Ref: skewness_student_t1782576
Ref: kurtosis_student_t1782883
Ref: random_student_t1783261
Node: Noncentral Student's t Random Variable1784085
Ref: pdf_noncentral_student_t1784732
Ref: cdf_noncentral_student_t1788011
Ref: quantile_noncentral_student_t1788461
Ref: mean_noncentral_student_t1788865
Ref: var_noncentral_student_t1789898
Ref: std_noncentral_student_t1790600
Ref: skewness_noncentral_student_t1791302
Ref: kurtosis_noncentral_student_t1792728
Ref: random_noncentral_student_t1794328
Node: Chi-squared Random Variable1795278
Ref: pdf_chi21795757
Ref: cdf_chi21796751
Ref: quantile_chi21797509
Ref: mean_chi21797930
Ref: var_chi21798285
Ref: std_chi21798648
Ref: skewness_chi21799043
Ref: kurtosis_chi21799725
Ref: random_chi21800303
Node: Noncentral Chi-squared Random Variable1800704
Ref: pdf_noncentral_chi21801315
Ref: cdf_noncentral_chi21802208
Ref: quantile_noncentral_chi21802510
Ref: mean_noncentral_chi21802902
Ref: var_noncentral_chi21803166
Ref: std_noncentral_chi21803440
Ref: skewness_noncentral_chi21803739
Ref: kurtosis_noncentral_chi21804149
Ref: random_noncentral_chi21804536
Node: F Random Variable1804950
Ref: pdf_f1805399
Ref: cdf_f1806317
Ref: quantile_f1807107
Ref: mean_f1807451
Ref: var_f1807782
Ref: std_f1808159
Ref: skewness_f1808540
Ref: kurtosis_f1808940
Ref: random_f1809432
Node: Exponential Random Variable1810052
Ref: pdf_exp1810484
Ref: cdf_exp1810997
Ref: quantile_exp1811521
Ref: mean_exp1812134
Ref: var_exp1812674
Ref: std_exp1813316
Ref: skewness_exp1813887
Ref: kurtosis_exp1814291
Ref: random_exp1814695
Node: Lognormal Random Variable1815061
Ref: pdf_lognormal1815417
Ref: cdf_lognormal1816151
Ref: quantile_lognormal1817115
Ref: mean_lognormal1817665
Ref: var_lognormal1818095
Ref: std_lognormal1818454
Ref: skewness_lognormal1818959
Ref: kurtosis_lognormal1819364
Ref: random_lognormal1819781
Node: Gamma Random Variable1820215
Ref: pdf_gamma1820646
Ref: cdf_gamma1821191
Ref: quantile_gamma1821883
Ref: mean_gamma1822173
Ref: var_gamma1822410
Ref: std_gamma1822702
Ref: skewness_gamma1822973
Ref: kurtosis_gamma1823356
Ref: random_gamma1823734
Node: Beta Random Variable1824455
Ref: pdf_beta1824826
Ref: cdf_beta1825328
Ref: quantile_beta1826055
Ref: mean_beta1826343
Ref: var_beta1826678
Ref: std_beta1827018
Ref: skewness_beta1827414
Ref: kurtosis_beta1827781
Ref: random_beta1828245
Node: Continuous Uniform Random Variable1828724
Ref: pdf_continuous_uniform1829094
Ref: cdf_continuous_uniform1829485
Ref: quantile_continuous_uniform1829891
Ref: mean_continuous_uniform1830223
Ref: var_continuous_uniform1830584
Ref: std_continuous_uniform1831012
Ref: skewness_continuous_uniform1831415
Ref: kurtosis_continuous_uniform1831716
Ref: random_continuous_uniform1831990
Node: Logistic Random Variable1832451
Ref: pdf_logistic1832833
Ref: cdf_logistic1833623
Ref: quantile_logistic1834180
Ref: mean_logistic1834480
Ref: var_logistic1834722
Ref: std_logistic1835122
Ref: skewness_logistic1835504
Ref: kurtosis_logistic1835789
Ref: random_logistic1836170
Node: Pareto Random Variable1836559
Ref: pdf_pareto1836798
Ref: cdf_pareto1837156
Ref: quantile_pareto1837519
Ref: mean_pareto1837812
Ref: var_pareto1838020
Ref: std_pareto1838451
Ref: skewness_pareto1838899
Ref: kurtosis_pareto1839289
Ref: random_pareto1839760
Node: Weibull Random Variable1840143
Ref: pdf_weibull1840384
Ref: cdf_weibull1841026
Ref: quantile_weibull1841405
Ref: mean_weibull1841701
Ref: var_weibull1842042
Ref: std_weibull1842417
Ref: skewness_weibull1842811
Ref: kurtosis_weibull1843534
Ref: random_weibull1844244
Node: Rayleigh Random Variable1844629
Ref: pdf_rayleigh1844975
Ref: cdf_rayleigh1845568
Ref: quantile_rayleigh1846154
Ref: mean_rayleigh1846685
Ref: var_rayleigh1847246
Ref: std_rayleigh1848088
Ref: skewness_rayleigh1848881
Ref: kurtosis_rayleigh1849990
Ref: random_rayleigh1851059
Node: Laplace Random Variable1851437
Ref: pdf_laplace1851892
Ref: cdf_laplace1852528
Ref: quantile_laplace1852901
Ref: mean_laplace1853195
Ref: var_laplace1853433
Ref: std_laplace1853727
Ref: skewness_laplace1854001
Ref: kurtosis_laplace1854281
Ref: random_laplace1854561
Node: Cauchy Random Variable1854944
Ref: pdf_cauchy1855551
Ref: cdf_cauchy1855965
Ref: quantile_cauchy1856479
Ref: random_cauchy1856771
Node: Gumbel Random Variable1857150
Ref: pdf_gumbel1857355
Ref: cdf_gumbel1857901
Ref: quantile_gumbel1858313
Ref: mean_gumbel1858605
Ref: var_gumbel1858991
Ref: std_gumbel1859382
Ref: skewness_gumbel1859752
Ref: kurtosis_gumbel1860528
Ref: random_gumbel1860901
Node: Functions and Variables for discrete distributions1861280
Node: General Finite Discrete Random Variable1861893
Ref: pdf_general_finite_discrete1862206
Ref: cdf_general_finite_discrete1863051
Ref: quantile_general_finite_discrete1863919
Ref: mean_general_finite_discrete1864145
Ref: var_general_finite_discrete1864355
Ref: std_general_finite_discrete1864568
Ref: skewness_general_finite_discrete1864791
Ref: kurtosis_general_finite_discrete1865021
Ref: random_general_finite_discrete1865251
Node: Binomial Random Variable1865883
Ref: pdf_binomial1866557
Ref: cdf_binomial1866966
Ref: quantile_binomial1867627
Ref: mean_binomial1867967
Ref: var_binomial1868251
Ref: std_binomial1868545
Ref: skewness_binomial1868862
Ref: kurtosis_binomial1869296
Ref: random_binomial1869730
Node: Poisson Random Variable1870287
Ref: pdf_poisson1870790
Ref: cdf_poisson1871224
Ref: quantile_poisson1871665
Ref: mean_poisson1871954
Ref: var_poisson1872186
Ref: std_poisson1872425
Ref: skewness_poisson1872692
Ref: kurtosis_poisson1873056
Ref: random_poisson1873430
Node: Bernoulli Random Variable1873966
Ref: pdf_bernoulli1874480
Ref: cdf_bernoulli1874969
Ref: quantile_bernoulli1875379
Ref: mean_bernoulli1875686
Ref: var_bernoulli1876067
Ref: std_bernoulli1876462
Ref: skewness_bernoulli1876883
Ref: kurtosis_bernoulli1877523
Ref: random_bernoulli1878165
Node: Geometric Random Variable1878593
Ref: pdf_geometric1879185
Ref: cdf_geometric1879599
Ref: quantile_geometric1879928
Ref: mean_geometric1880381
Ref: var_geometric1880871
Ref: std_geometric1881250
Ref: skewness_geometric1881577
Ref: kurtosis_geometric1881950
Ref: random_geometric1882376
Node: Discrete Uniform Random Variable1882924
Ref: pdf_discrete_uniform1883475
Ref: cdf_discrete_uniform1883904
Ref: quantile_discrete_uniform1884336
Ref: mean_discrete_uniform1884682
Ref: var_discrete_uniform1885060
Ref: std_discrete_uniform1885494
Ref: skewness_discrete_uniform1885959
Ref: kurtosis_discrete_uniform1886276
Ref: random_discrete_uniform1886761
Node: Hypergeometric Random Variable1887231
Ref: pdf_hypergeometric1887848
Ref: cdf_hypergeometric1888618
Ref: quantile_hypergeometric1889449
Ref: mean_hypergeometric1889832
Ref: var_hypergeometric1890282
Ref: std_hypergeometric1890821
Ref: skewness_hypergeometric1891424
Ref: kurtosis_hypergeometric1892105
Ref: random_hypergeometric1893000
Node: Negative Binomial Random Variable1893616
Ref: pdf_negative_binomial1894287
Ref: cdf_negative_binomial1894810
Ref: quantile_negative_binomial1895329
Ref: mean_negative_binomial1895691
Ref: var_negative_binomial1896088
Ref: std_negative_binomial1896538
Ref: skewness_negative_binomial1896968
Ref: kurtosis_negative_binomial1897412
Ref: random_negative_binomial1897896
Node: draw-pkg1898400
Node: Introduction to draw1898658
Node: Functions and Variables for draw1901031
Ref: gr2d1901288
Ref: gr3d1902550
Ref: draw1903381
Ref: draw2d1905411
Ref: draw3d1905678
Ref: draw_file1905945
Ref: multiplot_mode1906386
Ref: set_draw_defaults1907728
Ref: adapt_depth_draw1908552
Ref: allocation1908796
Ref: axis_3d1910180
Ref: axis_bottom1910665
Ref: axis_left1911109
Ref: axis_right1911516
Ref: axis_top1911926
Ref: background_color1912331
Ref: border1912704
Ref: capping1913303
Ref: cbrange1913901
Ref: cbtics1914791
Ref: color_draw1915459
Ref: colorbox1919272
Ref: columns1920281
Ref: contour1920913
Ref: contour_levels1922027
Ref: data_file_name1923936
Ref: delay1924327
Ref: dimensions_draw1925159
Ref: draw_realpart1926687
Ref: enhanced3d1927362
Ref: error_type1933005
Ref: file_name1933318
Ref: fill_color1933898
Ref: fill_density1934105
Ref: filled_func1934314
Ref: font1935727
Ref: font_size1938921
Ref: gnuplot_file_name1939341
Ref: grid_draw1940099
Ref: head_angle1940817
Ref: head_both1942034
Ref: head_length1942637
Ref: head_type1943328
Ref: interpolate_color1944146
Ref: ip_grid1946932
Ref: ip_grid_in1947123
Ref: key1947324
Ref: key_pos1948048
Ref: label_alignment1949077
Ref: label_orientation1949979
Ref: line_type1950898
Ref: line_width1951809
Ref: logcb1952511
Ref: logx_draw1953215
Ref: logx_secondary1953764
Ref: logy_draw1954631
Ref: logy_secondary1955057
Ref: logz1955890
Ref: palette_draw1956959
Ref: point_size1960157
Ref: point_type_draw1960733
Ref: points_joined1962439
Ref: proportional_axes1963608
Ref: surface_hide1964822
Ref: terminal1965350
Ref: title_draw1968485
Ref: transform1968907
Ref: transparent1970319
Ref: unit_vectors1970841
Ref: user_preamble1971516
Ref: view1972728
Ref: wired_surface1973636
Ref: x_voxel1974122
Ref: xaxis1974372
Ref: xaxis_color1974819
Ref: xaxis_secondary1975299
Ref: xaxis_type1976105
Ref: xaxis_width1976580
Ref: xlabel_draw1977035
Ref: xlabel_secondary1977554
Ref: xrange1978283
Ref: xrange_secondary1978795
Ref: xtics_draw1979282
Ref: xtics_axis1981168
Ref: xtics_rotate1981490
Ref: xtics_rotate_secondary1981748
Ref: xtics_secondary1982036
Ref: xtics_secondary_axis1982243
Ref: xu_grid1982595
Ref: xy_file1983098
Ref: xyplane1983459
Ref: y_voxel1983975
Ref: yaxis1984225
Ref: yaxis_color1984647
Ref: yaxis_secondary1985127
Ref: yaxis_type1985814
Ref: yaxis_width1986290
Ref: ylabel_draw1986745
Ref: ylabel_secondary1987271
Ref: yrange1988096
Ref: yrange_secondary1988668
Ref: ytics_draw1989480
Ref: ytics_axis1989665
Ref: ytics_rotate1989987
Ref: ytics_rotate_secondary1990245
Ref: ytics_secondary1990533
Ref: ytics_secondary_axis1990735
Ref: yv_grid1991087
Ref: z_voxel1991617
Ref: zaxis1991822
Ref: zaxis_color1992357
Ref: zaxis_type1992938
Ref: zaxis_width1993471
Ref: zlabel_draw1994022
Ref: zlabel_rotate1994585
Ref: zrange1995176
Ref: ztics_draw1995779
Ref: ztics_axis1995969
Ref: ztics_rotate1996291
Ref: bars1996598
Ref: cylindrical1997486
Ref: elevation_grid1998209
Ref: ellipse1999228
Ref: errors2000421
Ref: explicit2001783
Ref: image2003761
Ref: implicit2007543
Ref: label_draw2009458
Ref: mesh2010707
Ref: parametric2012132
Ref: parametric_surface2013613
Ref: points2014865
Ref: polar2021170
Ref: polygon2022043
Ref: quadrilateral2022925
Ref: rectangle2023994
Ref: region2024976
Ref: spherical2025722
Ref: triangle2026452
Ref: tube2027355
Ref: vector2028122
Ref: draw_renderer2029433
Node: Functions and Variables for pictures2029848
Ref: get_pixel2030100
Ref: make_level_picture2030260
Ref: make_rgb_picture2031424
Ref: negative_picture2032547
Ref: picture_equalp2032646
Ref: picturep2032756
Ref: read_xpm2032874
Ref: rgb2level2032966
Ref: take_channel2033103
Node: Functions and Variables for worldmap2034015
Ref: boundaries_array2034289
Ref: numbered_boundaries2034628
Ref: make_poly_continent2035155
Ref: make_poly_country2035767
Ref: make_polygon2036129
Ref: region_boundaries2039218
Ref: region_boundaries_plus2039765
Ref: geomap2040399
Node: drawdf-pkg2046597
Node: Introduction to drawdf2046782
Node: Functions and Variables for drawdf2048667
Ref: drawdf2048895
Node: dynamics-pkg2057091
Node: The dynamics package2057333
Node: Graphical analysis of discrete dynamical systems2058007
Ref: chaosgame2058273
Ref: evolution2059035
Ref: evolution2d2059777
Ref: ifs2060811
Ref: orbits2062227
Ref: staircase2063643
Node: Visualization with VTK2064501
Ref: scene2064960
Ref: scene_options2067199
Ref: scene_azimuth2067242
Ref: scene_background2067541
Ref: scene_elevation2067782
Ref: scene_height2068112
Ref: scene_restart2068286
Ref: scene_tstep2068535
Ref: scene_width2068735
Ref: scene_windowname2068906
Ref: scene_windowtitle2069199
Ref: scene_objects2069392
Ref: cone2069435
Ref: cube2070296
Ref: cylinder2070621
Ref: sphere2071254
Ref: object_options2071374
Ref: object_animation2071435
Ref: object_capping2072030
Ref: object_center2072284
Ref: object_color2072637
Ref: object_endphi2072846
Ref: object_endtheta2073300
Ref: object_height2073750
Ref: object_linewidth2073911
Ref: object_opacity2074090
Ref: object_orientation2074345
Ref: object_origin2074715
Ref: object_phiresolution2074987
Ref: object_points2075265
Ref: object_pointsize2075468
Ref: object_position2075644
Ref: object_radius2075861
Ref: object_resolution2076085
Ref: object_scale2076284
Ref: object_startphi2076731
Ref: object_starttheta2077186
Ref: object_surface2077637
Ref: object_thetaresolution2077932
Ref: object_track2078224
Ref: object_xlength2079207
Ref: object_ylength2079403
Ref: object_zlength2079599
Ref: object_wireframe2079795
Node: engineering-format-pkg2079999
Node: Functions and Variables for engineering-format2080358
Ref: engineering_format_floats2080599
Ref: engineering_format_min2081161
Ref: engineering_format_max2081932
Node: ezunits-pkg2082176
Node: Introduction to ezunits2082414
Node: Introduction to physical_constants2086047
Ref: physical_constants2086286
Node: Functions and Variables for ezunits2090778
Ref: constvalue2101813
Ref: declare_constvalue2102681
Ref: remove_constvalue2103277
Ref: units2103428
Ref: declare_units2104774
Ref: qty2105522
Ref: declare_qty2106493
Ref: unitp2107174
Ref: declare_unit_conversion2108365
Ref: declare_dimensions2110212
Ref: remove_dimensions2111192
Ref: declare_fundamental_dimensions2111357
Ref: declare_fundamental_units2112727
Ref: dimensions2114406
Ref: fundamental_units2116181
Ref: dimensionless2117533
Ref: natural_unit2118633
Node: f90-pkg2118871
Node: Package f902118999
Ref: f90_output_line_length_max2119105
Ref: function_f902120722
Node: finance-pkg2122782
Node: Introduction to finance2122971
Node: Functions and Variables for finance2123572
Ref: days3602123770
Ref: fv2124075
Ref: pv2124430
Ref: graph_flow2124788
Ref: annuity_pv2125173
Ref: annuity_fv2125584
Ref: geo_annuity_pv2125993
Ref: geo_annuity_fv2126460
Ref: amortization2126924
Ref: arit_amortization2128309
Ref: geo_amortization2130005
Ref: saving2131657
Ref: npv2133053
Ref: irr2133372
Ref: benefit_cost2133774
Node: fractals-pkg2134402
Node: Introduction to fractals2134695
Node: Definitions for IFS fractals2135313
Ref: sierpinskiale2136029
Ref: treefale2136401
Ref: fernfale2136690
Node: Definitions for complex fractals2137035
Ref: mandelbrot_set2137261
Ref: julia_set2137755
Ref: julia_parameter2138267
Ref: julia_sin2138541
Node: Definitions for Koch snowflakes2139330
Ref: snowmap2139552
Node: Definitions for Peano maps2140310
Ref: hilbertmap2140590
Ref: sierpinskimap2140837
Node: gentran-pkg2141092
Node: Introduction to Gentran2141351
Node: Functions for Gentran2141881
Node: Gentran Mode Switches2149374
Node: Gentran Option Variables2151382
Node: Gentran Evaluation Forms2158792
Node: ggf-pkg2161900
Node: Functions and Variables for ggf2162047
Ref: ggf2163329
Node: graphs-pkg2165393
Node: Introduction to graphs2165576
Node: Functions and Variables for graphs2166663
Ref: create_graph2166903
Ref: copy_graph2168947
Ref: circulant_graph2169017
Ref: clebsch_graph2169598
Ref: complement_graph2169662
Ref: complete_bipartite_graph2169746
Ref: complete_graph2169858
Ref: cycle_digraph2169943
Ref: cycle_graph2170027
Ref: cuboctahedron_graph2170100
Ref: cube_graph2170179
Ref: dodecahedron_graph2170250
Ref: empty_graph2170324
Ref: flower_snark2170403
Ref: from_adjacency_matrix2170652
Ref: frucht_graph2170759
Ref: graph_product2170821
Ref: graph_union2171070
Ref: grid_graph2171164
Ref: great_rhombicosidodecahedron_graph2171232
Ref: great_rhombicuboctahedron_graph2171338
Ref: grotzch_graph2171438
Ref: heawood_graph2171502
Ref: icosahedron_graph2171566
Ref: icosidodecahedron_graph2171638
Ref: induced_subgraph2171722
Ref: line_graph2172221
Ref: make_graph2172299
Ref: mycielski_graph2173523
Ref: new_graph2173613
Ref: path_digraph2173695
Ref: path_graph2173777
Ref: petersen_graph2173848
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Ref: graph6_encode2209008
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Ref: show_edge_width2215564
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Ref: vertices_to_cycle2217741
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Ref: poly_subtract2222858
Ref: poly_multiply2223126
Ref: poly_s_polynomial2223373
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Ref: poly_content2225861
Ref: poly_pseudo_divide2226065
Ref: poly_exact_divide2226689
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Ref: poly_colon_ideal2229610
Ref: poly_ideal_intersection2229838
Ref: poly_lcm2229997
Ref: poly_gcd2230115
Ref: poly_grobner_equal2230741
Ref: poly_grobner_subsetp2231414
Ref: poly_grobner_member2231703
Ref: poly_ideal_saturation12232159
Ref: poly_ideal_saturation2232520
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Ref: poly_ideal_polysaturation2233339
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Ref: poly_polysaturation_extension2233819
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Ref: charfun22247570
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Ref: cspline2251482
Ref: ratinterpol2256048
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Node: Introduction to lapack2257639
Node: Functions and Variables for lapack2257959
Ref: dgeev2258152
Ref: dgeqrf2261076
Ref: dgesv2262581
Ref: dgesvd2266036
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Ref: zlange2271204
Ref: dgemm2272123
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Node: Introduction to lbfgs2281890
Node: Functions and Variables for lbfgs2282903
Ref: lbfgs_func2283091
Ref: lbfgs_nfeval_max2297701
Ref: lbfgs_ncorrections2297975
Node: lindstedt-pkg2298175
Node: Functions and Variables for lindstedt2298351
Ref: Lindstedt2298547
Node: linearalgebra-pkg2299879
Node: Introduction to linearalgebra2300104
Node: Functions and Variables for linearalgebra2304611
Ref: addmatrices2304839
Ref: blockmatrixp2305351
Ref: columnop2305475
Ref: columnswap2305709
Ref: columnspace2305867
Ref: cholesky2306149
Ref: ctranspose2306460
Ref: diag_matrix2306659
Ref: dotproduct2307634
Ref: eigens_by_jacobi2307842
Ref: get_lu_factors2310958
Ref: hankel2311247
Ref: hessian2311536
Ref: hilbert_matrix2312657
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Ref: invert_by_lu2313371
Ref: jacobian2313540
Ref: kronecker_product2314490
Ref: listp2314598
Ref: locate_matrix_entry2314937
Ref: lu_backsub2315873
Ref: lu_factor2320150
Ref: mat_cond2325528
Ref: mat_norm2326047
Ref: linearalgebra_matrixp2326360
Ref: matrix_size2326728
Ref: mat_fullunblocker2326872
Ref: mat_trace2327043
Ref: mat_unblocker2327276
Ref: nullspace2328647
Ref: nullity2328921
Ref: orthogonal_complement2329022
Ref: polytocompanion2329287
Ref: ptringularize2329577
Ref: rowp2330011
Ref: linalg_rank2330237
Ref: rowswap2330730
Ref: toeplitz2330879
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Ref: zeromatrixp2332412
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Node: Introduction to lsquares2332889
Node: Functions and Variables for lsquares2333227
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Ref: lsquares_estimates_exact2339887
Ref: lsquares_estimates_approximate2342172
Ref: lsquares_mse2345148
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Ref: lsquares_residual_mse2351616
Ref: plsquares2353689
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Node: Introduction to minpack2358023
Node: Functions and Variables for minpack2358327
Ref: minpack_lsquares2358525
Ref: minpack_solve2361198
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Node: Functions and Variables for makeOrders2363527
Ref: makeOrders_func2363728
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Node: Introduction to mnewton2364735
Node: Functions and Variables for mnewton2365038
Ref: newtonepsilon2365236
Ref: newtonmaxiter2365567
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Ref: mnewton2365951
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Ref: numericalio2368739
Node: Introduction to numericalio2368739
Node: Functions and Variables for plain-text input and output2372962
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Node: Introduction to ODEPACK2384158
Ref: Introduction to ODEPACK-Footnote-12385352
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Node: Functions and Variables for odepack2388793
Ref: dlsode_init2389024
Ref: dlsode_step2390534
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Node: Introduction to operatingsystem2393138
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Ref: getcurrentdirectory2393826
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Ref: copy_file2394290
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Ref: delete_file2394453
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Ref: opsubst_func2395284
Node: orthopoly-pkg2397566
Node: Introduction to orthogonal polynomials2397791
Ref: Floating point Evaluation2408425
Node: Functions and Variables for orthogonal polynomials2415570
Ref: assoc_legendre_p2415830
Ref: assoc_legendre_q2417560
Ref: chebyshev_t2419068
Ref: chebyshev_u2420387
Ref: gen_laguerre2421824
Ref: hermite2423543
Ref: intervalp2425060
Ref: jacobi_p2425173
Ref: laguerre2426199
Ref: legendre_p2427482
Ref: legendre_q2429162
Ref: orthopoly_recur2430393
Ref: orthopoly_weight2431925
Ref: pochhammer2432670
Ref: spherical_bessel_j2434634
Ref: spherical_bessel_y2436381
Ref: spherical_hankel12438131
Ref: spherical_hankel22438466
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Ref: ultraspherical2441700
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Ref: ratp_lopow2468029
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Node: Introduction to Units2666881
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