This is maxima.info, produced by makeinfo version 7.2 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: 1011022
maxima.info-3: 2079545

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
Ref: __42757
Ref: _44566
Ref: %46085
Ref: %%46713
Ref: %th48364
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Ref: outchar61125
Ref: playback62034
Ref: prompt64161
Ref: quit64374
Ref: read65224
Ref: readonly65794
Ref: reset66480
Ref: showtime66961
Ref: to_lisp67335
Ref: eval_string_lisp68445
Ref: values69151
Node: Functions and Variables for Display70256
Ref: %edispflag70470
Ref: absboxchar71098
Ref: declare_index_properties71432
Ref: get_index_properties75040
Ref: remove_index_properties75217
Ref: display_index_separator75511
Ref: disp80763
Ref: display81455
Ref: display2d82339
Ref: display_format_internal84116
Ref: with_default_2d_display84826
Ref: dispterms85275
Ref: expt86264
Ref: ncexpt86264
Ref: exptdispflag86591
Ref: grind87295
Ref: ibase92052
Ref: ldisp94102
Ref: ldisplay95219
Ref: leftjust96570
Ref: linel97090
Ref: lispdisp97539
Ref: negsumdispflag98072
Ref: obase98489
Ref: pfeformat99676
Ref: powerdisp100517
Ref: print101326
Ref: sqrtdispflag102705
Ref: stardisp102870
Ref: ttyoff103050
Node: Data Types and Structures103420
Node: Numbers103667
Node: Introduction to Numbers103889
Node: Functions and Variables for Numbers104653
Ref: bfloat104849
Ref: bfloatp107020
Ref: bftorat107132
Ref: bftrunc108275
Ref: bigfloat_bits108586
Ref: bigfloat_eps109078
Ref: decode_float109606
Ref: evenp111155
Ref: float111380
Ref: float2bf111652
Ref: float_bits111878
Ref: float_eps111980
Ref: float_precision112113
Ref: floatnump112564
Ref: fpprec112689
Ref: fpprintprec112972
Ref: integerp114050
Ref: integer_decode_float115000
Ref: is_power_of_two117520
Ref: m1pbranch119060
Ref: nonnegintegerp119669
Ref: numberp119782
Ref: numer121001
Ref: numer_pbranch121724
Ref: numerval122874
Ref: oddp123351
Ref: ratepsilon123572
Ref: rationalize123860
Ref: ratnump125337
Ref: scale_float125483
Ref: unit_in_last_place126894
Node: Strings128925
Node: Introduction to Strings129131
Node: Functions and Variables for Strings131254
Ref: concat131450
Ref: sconcat132935
Ref: string133591
Ref: stringdisp133898
Node: Constants134684
Node: Functions and Variables for Constants134866
Ref: %e135056
Ref: %i135425
Ref: false135501
Ref: %gamma135658
Ref: ind136253
Ref: inf136458
Ref: infinity136528
Ref: least_negative_float136602
Ref: least_negative_normalized_float136969
Ref: least_positive_float137199
Ref: least_positive_normalized_float137565
Ref: minf137794
Ref: most_negative_float137880
Ref: most_positive_float138012
Ref: %phi138144
Ref: %pi140633
Ref: true140843
Ref: und140995
Ref: zeroa141193
Ref: zerob141670
Node: Lists141910
Node: Introduction to Lists142146
Node: Functions and Variables for Lists143015
Ref: [143246
Ref: ]143246
Ref: append144790
Ref: assoc145171
Ref: cons146794
Ref: copylist148281
Ref: create_list148355
Ref: delete149599
Ref: eighth152017
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Ref: fifth153561
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Ref: last159504
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Ref: length162952
Ref: listarith163832
Ref: lreduce164284
Ref: makelist165675
Ref: member167593
Ref: ninth168989
Ref: pop169116
Ref: push169420
Ref: rest170718
Ref: reverse171886
Ref: rreduce172135
Ref: second173637
Ref: seventh173765
Ref: sixth173894
Ref: sort174021
Ref: sublist180096
Ref: sublist_indices180426
Ref: tenth181524
Ref: third181652
Ref: tree_reduce181779
Ref: unique183141
Ref: xreduce183528
Node: Performance considerations for Lists185277
Node: Arrays187544
Ref: hashed array187709
Ref: hashed arrays187709
Ref: undeclared array187709
Ref: undeclared arrays187709
Node: Functions and Variables for Arrays188921
Ref: array189096
Ref: arrayapply189940
Ref: arrayinfo190211
Ref: arraymake194733
Ref: arrays196538
Ref: arraysetapply197727
Ref: fillarray197953
Ref: listarray200132
Ref: make_array203929
Ref: rearray206111
Ref: remarray206493
Ref: subvar207076
Ref: subvarp207816
Ref: use_fast_arrays207939
Ref: translate_fast_arrays208645
Node: Structures209121
Node: Introduction to Structures209323
Node: Functions and Variables for Structures210994
Ref: structures211205
Ref: defstruct211333
Ref: new212914
Node: Expressions215338
Node: Introduction to Expressions215607
Node: Nouns and Verbs217202
Node: Identifiers219633
Node: Inequality221929
Node: Functions and Variables for Expressions222248
Ref: alias222443
Ref: aliases222672
Ref: allbut222945
Ref: args223985
Ref: atom225155
Ref: box225433
Ref: boxchar227610
Ref: collapse227953
Ref: copy228516
Ref: disolate229340
Ref: dispform229852
Ref: dpart231786
Ref: exptisolate232397
Ref: exptsubst232617
Ref: freeof233334
Ref: inflag237230
Ref: inpart238049
Ref: isolate239333
Ref: isolate_wrt_times240244
Ref: listconstvars241034
Ref: listdummyvars241567
Ref: listofvars242290
Ref: lfreeof242880
Ref: lpart243358
Ref: mainvar243580
Ref: noun244346
Ref: noundisp244970
Ref: nounify245186
Ref: nterms245596
Ref: op245964
Ref: operatorp247722
Ref: option_opsubst248089
Ref: optimize248971
Ref: optimprefix249352
Ref: ordergreat249515
Ref: orderless249515
Ref: ordergreatp250353
Ref: orderlessp250353
Ref: part254192
Ref: partition255717
Ref: partswitch256304
Ref: pickapart256534
Ref: piece259533
Ref: psubst259748
Ref: rembox260621
Ref: reveal263136
Ref: sqrtdenest265716
Ref: sublis266590
Ref: sublis_apply_lambda267067
Ref: subnumsimp267357
Ref: subst267970
Ref: substinpart271470
Ref: substpart273937
Ref: symbolp275130
Ref: unorder275264
Ref: verbify276709
Node: Operators277100
Node: Introduction to operators277405
Node: Arithmetic operators281676
Ref: +281856
Ref: -281856
Ref: *281856
Ref: /281856
Ref: ^281856
Ref: **288973
Ref: ^^289774
Ref: .290544
Node: Relational operators291020
Ref: <291192
Ref: <=291192
Ref: >=291192
Ref: >291192
Node: Logical operators293866
Ref: and294035
Ref: not295108
Ref: or295700
Node: Operators for Equations296762
Ref: #296943
Ref: =297720
Node: Assignment operators301974
Ref: :302154
Ref: ::304971
Ref: ::=305731
Ref: :=308776
Node: User defined operators314619
Ref: infix314771
Ref: matchfix319077
Ref: function_nary323794
Ref: nofix324409
Ref: postfix324978
Ref: prefix325469
Node: Evaluation325873
Node: Functions and Variables for Evaluation326044
Ref: quote326235
Ref: quote-quote330907
Ref: ev336412
Ref: eval345444
Ref: evflag346002
Ref: evfun348573
Ref: infeval351502
Ref: noeval351887
Ref: nouns352113
Ref: pred352427
Node: Simplification352802
Node: Introduction to Simplification353031
Node: Functions and Variables for Simplification363360
Ref: additive363587
Ref: antisymmetric364546
Ref: combine365603
Ref: commutative366189
Ref: demoivre366946
Ref: function_distrib367673
Ref: distribute_over368582
Ref: domain370859
Ref: evenfun371054
Ref: oddfun371054
Ref: expand371740
Ref: expandwrt376052
Ref: expandwert_denom376632
Ref: expandwrt_factored377054
Ref: expon377414
Ref: exponentialize377707
Ref: expop378309
Ref: lassociative378771
Ref: linear379027
Ref: maxnegex380755
Ref: maxposex380947
Ref: multiplicative381132
Ref: multthru383071
Ref: property_nary385412
Ref: negdistrib386145
Ref: opproperties386968
Ref: define_opproperty387433
Ref: outative389031
Ref: radcan390351
Ref: radexpand391594
Ref: rassociative392528
Ref: scsimp392776
Ref: simp393201
Ref: symmetric394908
Ref: xthru395162
Node: Elementary Functions396396
Node: Functions for Numbers396746
Ref: abs396917
Ref: ceiling400379
Ref: entier404137
Ref: floor404353
Ref: fix406289
Ref: hstep406354
Ref: lmax406649
Ref: lmin406845
Ref: max407041
Ref: min408858
Ref: round410668
Ref: signum411007
Ref: truncate411796
Node: Functions for Complex Numbers412122
Ref: cabs412341
Ref: carg416299
Ref: conjugate418232
Ref: imagpart418754
Ref: polarform419358
Ref: realpart420032
Ref: rectform420616
Node: Combinatorial Functions421075
Ref: !!421303
Ref: binomial422050
Ref: factcomb423055
Ref: !423993
Ref: factorial423993
Ref: factlim427648
Ref: factorial_expand427840
Ref: genfact428092
Ref: minfactorial428335
Ref: sumsplitfact428882
Node: Root Exponential and Logarithmic Functions429896
Ref: %e_to_numlog430158
Ref: %emode430599
Ref: %enumer432259
Ref: exp433345
Ref: li434359
Ref: log436938
Ref: logabs438483
Ref: logarc439235
Ref: logconcoeffp439476
Ref: logcontract439913
Ref: logexpand440950
Ref: lognegint444198
Ref: logsimp444370
Ref: plog444535
Ref: sqrt444682
Node: Trigonometric Functions444844
Node: Introduction to Trigonometric445147
Node: Functions and Variables for Trigonometric446240
Node: Trigonometric and Hyperbolic Functions446641
Ref: acos446947
Ref: acosh446993
Ref: acot447051
Ref: acoth447100
Ref: acsc447161
Ref: acsch447209
Ref: asec447269
Ref: asech447315
Ref: asin447373
Ref: asinh447417
Ref: atan447473
Ref: atan2447548
Ref: atanh447737
Ref: cos447796
Ref: cosh447837
Ref: cot447890
Ref: coth447934
Ref: csc447990
Ref: csch448033
Ref: sec448088
Ref: sech448129
Ref: sin448182
Ref: sinh448221
Ref: tan448272
Ref: tanh448314
Node: Options Controlling Simplification448368
Ref: %piargs448666
Ref: %iargs450656
Ref: halfangles451700
Ref: trigsign453600
Node: Explicit Simplifications Using Identities453874
Ref: trigexpand454168
Ref: trigexpandplus455632
Ref: trigexpandtimes455988
Ref: triginverses456354
Ref: trigreduce456881
Ref: trigsimp457511
Ref: trigrat457924
Node: Additional Functions460818
Ref: atrig1461027
Ref: ntrig461428
Node: Random Numbers461738
Ref: make_random_state461882
Ref: set_random_state462657
Ref: random462806
Node: Maxima's Database464471
Node: Introduction to Maxima's Database464789
Node: Functions and Variables for Properties465028
Ref: alphabetic465293
Ref: bindtest465947
Ref: constant466527
Ref: constantp467103
Ref: declare468391
Ref: nary471766
Ref: decreasing473725
Ref: increasing473725
Ref: even474340
Ref: odd474340
Ref: feature475026
Ref: featurep475417
Ref: features475966
Ref: get477430
Ref: integer478477
Ref: noninteger478477
Ref: integervalued478960
Ref: nonarray479470
Ref: nonscalar480056
Ref: nonscalarp480200
Ref: posfun480432
Ref: printprops480605
Ref: properties481173
Ref: props481296
Ref: propvars481603
Ref: put481827
Ref: qput482740
Ref: rational483562
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Ref: real483788
Ref: imaginary483788
Ref: complex483788
Ref: rem484066
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Ref: scalarp486168
Node: Functions and Variables for Facts486485
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Ref: askequal487422
Ref: askinteger488108
Ref: asksign488802
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Ref: assume_pos492710
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Ref: newcontext502737
Ref: sign503209
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Node: Functions and Variables for Predicates504158
Ref: charfun504381
Ref: compare505007
Ref: equal506197
Ref: notequal510589
Ref: unknown511528
Ref: zeroequiv511686
Node: Plotting512898
Node: Introduction to Plotting513204
Node: Plotting Formats515955
Node: Functions and Variables for Plotting519622
Ref: geomview_command519838
Ref: get_plot_option520304
Ref: gnuplot_command520727
Ref: gnuplot_file_args521209
Ref: gnuplot_view_args521827
Ref: julia523282
Ref: make_transform525059
Ref: mandelbrot525818
Ref: polar_to_xy527318
Ref: plot2d527637
Ref: plot3d536300
Ref: plot_options540732
Ref: remove_plot_option541036
Ref: set_plot_option541262
Ref: spherical_to_xyz542540
Node: Plotting Options542998
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Ref: axes544772
Ref: azimuth545424
Ref: option_box545956
Ref: color546286
Ref: color_bar547088
Ref: color_bar_tics547672
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Ref: plot_real_part556122
Ref: point_type557041
Ref: pdf_file557626
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Ref: run_viewer559998
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Node: Gnuplot Options571576
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Ref: gnuplot_script_file575510
Ref: gnuplot_pm3d577638
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Ref: gnuplot_default_term_command578446
Ref: gnuplot_dumb_term_command578743
Ref: gnuplot_pdf_term_command579062
Ref: gnuplot_png_term_command579425
Ref: gnuplot_ps_term_command579750
Ref: gnuplot_strings580161
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Ref: gnuplot_curve_titles581830
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Node: Gnuplot_pipes Format Functions582074
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Ref: gnuplot_restart582757
Ref: gnuplot_replot582901
Ref: gnuplot_reset583170
Node: File Input and Output583370
Node: Comments583696
Node: Files584997
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Ref: batch586804
Ref: batchload590277
Ref: closefile591274
Ref: file_output_append591382
Ref: filename_merge592039
Ref: file_search592409
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Ref: directory601116
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Node: Functions and Variables for TeX Output610576
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Ref: texput613720
Ref: get_tex_environment618899
Ref: get_tex_enviroment_default620171
Node: Functions and Variables for Fortran Output621395
Ref: fortindent621639
Ref: fortran621965
Ref: fortspaces624551
Node: Polynomials624733
Node: Introduction to Polynomials625051
Node: Functions and Variables for Polynomials628215
Ref: algebraic628474
Ref: berlefact628661
Ref: bezout628899
Ref: bothcoef629558
Ref: content634033
Ref: denom634508
Ref: divide635242
Ref: eliminate635876
Ref: ezgcd637208
Ref: factor638714
Ref: factor_max_degree645136
Ref: factor_max_degree_print_warning646681
Ref: factorflag647021
Ref: factorout647204
Ref: factorsum647913
Ref: fasttimes648778
Ref: fullratsimp649243
Ref: fullratsubst650904
Ref: fullratsubstflag653251
Ref: gcd653396
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Ref: gfactorsum658121
Ref: hipow658248
Ref: intfaclim659172
Ref: keepfloat659884
Ref: lowpow660816
Ref: lratsubst661036
Ref: lrats_max_iter662835
Ref: modulus663101
Ref: num665012
Ref: polydecomp665788
Ref: polymod667750
Ref: polynomialp668127
Ref: quotient670156
Ref: rat670512
Ref: ratcoef673449
Ref: ratdenom674588
Ref: ratdiff677088
Ref: ratdisrep678963
Ref: ratexpand679404
Ref: ratfac681695
Ref: ratnumer682745
Ref: ratp683378
Ref: ratprint683656
Ref: ratsimp683876
Ref: radsubstflag686303
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Ref: ratvars688163
Ref: resultant692882
Ref: option_resultant694403
Ref: savefactors694989
Ref: showratvars695307
Ref: sqfr695478
Ref: totaldisrep698534
Ref: untelltat698965
Node: Introduction to algebraic extensions699073
Node: Functions and Variables for algebraic extensions702569
Ref: algfac702819
Ref: algnorm703478
Ref: algtrace704015
Ref: bdiscr704388
Ref: primelmt705065
Ref: splitfield707443
Node: Special Functions709412
Node: Introduction to Special Functions709859
Node: Bessel Functions712052
Ref: bessel_j712232
Ref: bessel_y713079
Ref: bessel_i713828
Ref: bessel_k714690
Ref: hankel_1715456
Ref: hankel_2717278
Ref: besselexpand718092
Ref: scaled_bessel_i720257
Ref: scaled_bessel_i0720753
Ref: scaled_bessel_i1720838
Ref: %s720923
Node: Airy Functions722011
Ref: airy_ai723004
Ref: airy_dai723251
Ref: airy_bi723394
Ref: airy_dbi723622
Node: Gamma and Factorial Functions723787
Ref: bffac724156
Ref: bfpsi724656
Ref: cbffac725706
Ref: gamma726034
Ref: gamma_incomplete730389
Ref: gamma_incomplete_regularized731191
Ref: gamma_incomplete_generalized731794
Ref: gamma_expand732479
Ref: gammalim734183
Ref: makegamma734599
Ref: beta735298
Ref: beta_incomplete_regularized746061
Ref: beta_expand756051
Ref: polygamma756551
Ref: maxpsiposint758469
Ref: maxpsinegint759309
Ref: maxpsifracnum760732
Ref: maxpsifracdenom761804
Ref: makefact762886
Node: Exponential Integrals764116
Ref: expintegral_e1764499
Ref: expintegral_e765648
Ref: expintegral_si766039
Ref: expintegral_ci766378
Ref: expintegral_shi766773
Ref: expintegral_chi767117
Ref: expintrep767515
Ref: expintexpand778033
Node: Error Function779173
Ref: erf779561
Ref: erfc779959
Ref: erfi780304
Ref: erf_generalized780390
Ref: fresnel_c780651
Ref: fresnel_s781198
Ref: erf_representation781740
Ref: hypergeometric_representation786152
Node: Struve Functions788906
Ref: struve_h789540
Ref: struve_l790061
Node: Hypergeometric Functions790537
Ref: hgfred795084
Node: Parabolic Cylinder Functions797285
Ref: parabolic_cylinder_d797811
Node: Functions and Variables for Special Functions798393
Ref: kbateman799210
Node: Elliptic Functions799823
Node: Introduction to Elliptic Functions and Integrals800132
Node: Functions and Variables for Elliptic Functions804174
Ref: jacobi_sn804634
Ref: jacobi_cn804715
Ref: jacobi_dn804796
Ref: jacobi_ns804877
Ref: jacobi_sc804970
Ref: jacobi_sd805069
Ref: jacobi_nc805168
Ref: jacobi_cs805261
Ref: jacobi_cd805360
Ref: jacobi_nd805459
Ref: jacobi_ds805552
Ref: jacobi_dc805651
Ref: inverse_jacobi_sn805750
Ref: inverse_jacobi_cn806364
Ref: inverse_jacobi_dn806970
Ref: inverse_jacobi_ns807583
Ref: inverse_jacobi_sc808192
Ref: inverse_jacobi_sd808798
Ref: inverse_jacobi_nc809416
Ref: inverse_jacobi_cs810020
Ref: inverse_jacobi_cd810615
Ref: inverse_jacobi_nd811222
Ref: inverse_jacobi_ds811845
Ref: inverse_jacobi_dc812453
Node: Functions and Variables for Elliptic Integrals813057
Ref: elliptic_f813318
Ref: elliptic_e813535
Ref: elliptic_eu813772
Ref: elliptic_pi814149
Ref: elliptic_kc814328
Ref: elliptic_ec814618
Ref: carlson_rc814907
Ref: carlson_rd815664
Ref: carlson_rf816118
Ref: carlson_rj816544
Node: Limits816722
Node: Functions and Variables for Limits816889
Ref: lhospitallim817062
Ref: limit817308
Ref: limsubst819457
Ref: tlimit819744
Ref: tlimswitch819996
Ref: gruntz820493
Node: Differentiation821900
Node: Functions and Variables for Differentiation822087
Ref: antid822305
Ref: antidiff824759
Ref: at827047
Ref: atomgrad830169
Ref: atvalue830313
Ref: cartan832960
Ref: init_cartan833561
Ref: del834357
Ref: delta835117
Ref: dependencies835480
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Ref: derivabbrev839931
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Ref: derivlist840820
Ref: derivsubst840979
Ref: diff841203
Ref: symbol_diff844654
Ref: express844820
Ref: gradef847585
Ref: gradefs849657
Node: Integration849956
Node: Introduction to Integration850236
Node: Functions and Variables for Integration851252
Ref: changevar851499
Ref: dblint853841
Ref: defint856382
Ref: erfflag856961
Ref: ilt857199
Ref: intanalysis859532
Ref: integrate861033
Ref: integration_constant869784
Ref: integration_constant_counter870664
Ref: integrate_use_rootsof872026
Ref: laplace874412
Ref: ldefint879175
Ref: pwilt879924
Ref: potential880913
Ref: prefer_d881473
Ref: residue882725
Ref: risch883406
Ref: specint884484
Ref: tldefint888951
Node: Introduction to QUADPACK889074
Ref: Introduction to QUADPACK-Footnote-1892854
Ref: Introduction to QUADPACK-Footnote-2892920
Ref: Introduction to QUADPACK-Footnote-3892986
Ref: Introduction to QUADPACK-Footnote-4893030
Ref: Introduction to QUADPACK-Footnote-5893092
Ref: Introduction to QUADPACK-Footnote-6893132
Ref: Introduction to QUADPACK-Footnote-7893174
Node: Functions and Variables for QUADPACK893359
Ref: quad_qag893561
Ref: quad_qags896358
Ref: quad_qagi898593
Ref: quad_qawc901127
Ref: quad_qawf904354
Ref: quad_qawo907069
Ref: quad_qaws910050
Ref: quad_qagp913010
Ref: quad_control915647
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Node: Functions and Variables for Equations916440
Ref: %rnum916628
Ref: %rnum_list916900
Ref: algepsilon917974
Ref: algexact918080
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Ref: allroots923619
Ref: bfallroots926030
Ref: backsubst926449
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Ref: funcsolve931076
Ref: globalsolve932034
Ref: ieqn934094
Ref: ieqnprint938216
Ref: lhs938928
Ref: linsolve940579
Ref: linsolvewarn943783
Ref: linsolve_params943965
Ref: multiplicities944360
Ref: nroots944578
Ref: nthroot944996
Ref: polyfactor945353
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Ref: rootscontract950462
Ref: rootsepsilon953214
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Ref: solvedecomposes960579
Ref: solveexplicit960767
Ref: solvefactors961025
Ref: solvenullwarn961286
Ref: solveradcan961607
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Node: Introduction to Differential Equations962397
Node: Functions and Variables for Differential Equations963024
Ref: bc2963293
Ref: desolve963917
Ref: ic1966047
Ref: ic2966501
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Node: Introduction to fast Fourier transform972372
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Ref: polartorect973220
Ref: recttopolar973858
Ref: inverse_fft974576
Ref: fft977226
Ref: real_fft981854
Ref: inverse_real_fft982635
Ref: bf_inverse_fft983008
Ref: bf_fft983232
Ref: bf_real_fft983440
Ref: bf_inverse_real_fft983634
Node: Functions and Variables for FFTPACK5983827
Ref: fftpack5_fft984539
Ref: fftpack5_inverse_fft986837
Ref: fftpack5_real_fft987007
Ref: fftpack5_inverse_real_fft987867
Node: Functions for numerical solution of equations988303
Ref: horner988611
Ref: find_root989759
Ref: bf_find_root989759
Ref: find_root_error989759
Ref: find_root_abs989759
Ref: find_root_rel989759
Ref: newton993943
Node: Introduction to numerical solution of differential equations995280
Node: Functions for numerical solution of differential equations996597
Ref: plotdf996899
Ref: rk1007224
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Node: Introduction to Matrices and Linear Algebra1011303
Node: Dot1011662
Node: Matrices1013210
Node: Vectors1014711
Node: eigen1015847
Node: Functions and Variables for Matrices and Linear Algebra1016700
Ref: addcol1016994
Ref: addrow1017192
Ref: adjoint1017387
Ref: augcoefmatrix1017538
Ref: cauchy_matrix1018202
Ref: charpoly1019613
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Ref: col1021695
Ref: columnvector1021812
Ref: covect1021812
Ref: copymatrix1022776
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Ref: invert_by_adjoint1045269
Ref: invert1045513
Ref: list_matrix_entries1046679
Ref: lmxchar1046907
Ref: matrix1047426
Ref: matrixexp1053632
Ref: matrixmap1054075
Ref: matrixp1054261
Ref: matrix_element_add1054364
Ref: matrix_element_mult1055688
Ref: matrix_element_transpose1057682
Ref: mattrace1059938
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Ref: rank1061640
Ref: ratmx1061917
Ref: row1062532
Ref: rmxchar1062646
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Ref: scalefactors1063303
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Ref: sparse1065909
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Ref: triangularize1066857
Ref: uniteigenvectors1067923
Ref: ueivects1067923
Ref: unitvector1069262
Ref: uvect1069262
Ref: vectorpotential1069507
Ref: vectorsimp1069839
Ref: vect_cross1071329
Ref: zeromatrix1071559
Node: Affine1071664
Node: Introduction to Affine1071859
Node: Functions and Variables for Affine1072102
Ref: fast_linsolve1072291
Ref: grobner_basis1072975
Ref: set_up_dot_simplifications1073575
Ref: declare_weights1074497
Ref: nc_degree1074748
Ref: dotsimp1074920
Ref: fast_central_elements1075172
Ref: check_overlaps1075593
Ref: mono1076245
Ref: monomial_dimensions1076491
Ref: extract_linear_equations1076661
Ref: list_nc_monomials1077057
Ref: all_dotsimp_denoms1077355
Node: itensor1077725
Node: Introduction to itensor1077904
Node: Functions and Variables for itensor1090783
Ref: dispcon1091042
Ref: entertensor1091318
Ref: changename1091639
Ref: listoftens1092024
Ref: ishow1092559
Ref: indices1092902
Ref: rename1093911
Ref: flipflag1097135
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Ref: remcon1098801
Ref: contract_Itensor1099068
Ref: indexed_tensor1099581
Ref: components1099832
Ref: remcomps1104018
Ref: showcomps1104153
Ref: idummy1106591
Ref: idummyx1106910
Ref: icounter1107045
Ref: kdelta1107294
Ref: kdels1108120
Ref: levi_civita1108982
Ref: lc2kdt1109238
Ref: lc_l1112705
Ref: lc_u1113790
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Ref: concan1114701
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Ref: liediff1121390
Ref: rediff1122189
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Ref: evundiff1122817
Ref: flush1125217
Ref: flushd1125377
Ref: flushnd1125535
Ref: coord1126258
Ref: remcoord1126670
Ref: makebox1126975
Ref: conmetderiv1127245
Ref: simpmetderiv1128123
Ref: flush1deriv1131272
Ref: imetric1131494
Ref: idim1131900
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Ref: lorentz1135249
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Ref: |1153397
Ref: extdiff1154800
Ref: hodge1156286
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Ref: tentex1158618
Ref: ic_convert1160126
Node: ctensor1162942
Node: Introduction to ctensor1163122
Node: Functions and Variables for ctensor1167570
Ref: csetup1167829
Ref: cmetric1168048
Ref: ct1169027
Ref: init1175330
Ref: christof1176738
Ref: ricci1177685
Ref: uricci1177971
Ref: scurvature1178532
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Ref: lriemann1181055
Ref: uriemann1181550
Ref: rinvariant1181752
Ref: weyl1182003
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Ref: petrov1191298
Ref: contortion1196731
Ref: nonmetricity1196849
Ref: ctransform1197036
Ref: findde1197437
Ref: cograd1199795
Ref: contragrad1199997
Ref: ctensor_dscalar1201135
Ref: checkdiv1202038
Ref: cgeodesic1202493
Ref: bdvac1202802
Ref: invariant11203206
Ref: invariant21203416
Ref: bimetric1203682
Ref: diagmatrixp1203934
Ref: symmetricp1204084
Ref: ntermst1204432
Ref: cdisplay1204802
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Ref: dim1218538
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Ref: cframe_flag1219484
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Ref: cnonmet_flag1220181
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Ref: ctaypov1220880
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Ref: gdet1221153
Ref: ratchristof1221311
Ref: rateinstein1221415
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Ref: ratweyl1221967
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Ref: ufg1222442
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Ref: npi1223819
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Ref: ct_coords1225022
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Node: Introduction to atensor1228655
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Ref: init_atensor1232905
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Ref: adim1236162
Ref: aform1236375
Ref: asymbol1236566
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Node: Functions and Variables for Sums and Products1238967
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Ref: lsum1239685
Ref: intosum1240376
Ref: simpproduct1240899
Ref: product1241325
Ref: simpsum1243887
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Ref: sumcontract1248973
Ref: sumexpand1249574
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Node: Functions and Variables for Series1251124
Ref: cauchysum1251370
Ref: deftaylor1252675
Ref: maxtayorder1254029
Ref: niceindices1254284
Ref: niceindicespref1255755
Ref: nusum1256813
Ref: pade1258977
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Ref: taylorinfo1274705
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Ref: taylor_truncate_polynomials1276792
Ref: taytorat1277103
Ref: trunc1277307
Ref: unsum1277880
Ref: verbose1279104
Node: Introduction to Fourier series1279250
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Ref: equalp1280036
Ref: remfun1280226
Ref: funp1280573
Ref: absint1280931
Ref: fourier1281593
Ref: foursimp1281743
Ref: sinnpiflag1281925
Ref: cosnpiflag1282015
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Ref: fourcos1282360
Ref: foursin1282496
Ref: totalfourier1282630
Ref: fourint1282764
Ref: fourintcos1282924
Ref: forintsin1283059
Node: Functions and Variables for Poisson series1283192
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Ref: outopois1283516
Ref: poisdiff1283883
Ref: poisexpt1284041
Ref: poisint1284172
Ref: poislim1284357
Ref: poismap1284657
Ref: poisplus1284975
Ref: poissimp1285069
Ref: poisson1285180
Ref: poissubst1285295
Ref: poistimes1286218
Ref: poistrim1286315
Ref: printpois1286702
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Node: Functions and Variables for Number Theory1287089
Ref: bern1287297
Ref: bernpoly1288067
Ref: bfzeta1288169
Ref: bfhzeta1288366
Ref: burn1288980
Ref: chinese1289923
Ref: cf1290882
Ref: cfdisrep1293882
Ref: cfexpand1294575
Ref: cflength1295216
Ref: divsum1295843
Ref: euler1296415
Ref: factors_only1296950
Ref: fib1297353
Ref: fibtophi1297696
Ref: ifactors1298900
Ref: igcdex1300154
Ref: inrt1300854
Ref: inv_mod1301144
Ref: isqrt1301555
Ref: jacobi1301678
Ref: lcm1301935
Ref: lucas1302155
Ref: mod1302571
Ref: next_prime1303862
Ref: partfrac1304018
Ref: power_mod1305347
Ref: primep1305896
Ref: primep_number_of_tests1306690
Ref: primes1306817
Ref: prev_time1306993
Ref: qunit1307150
Ref: totient1307574
Ref: zeta1307962
Ref: zeta%pi1309388
Ref: zn_add_table1310027
Ref: zn_characteristic_factors1310178
Ref: zn_carmichael_lambda1313787
Ref: zn_determinant1314014
Ref: zn_factor_generators1315113
Ref: zn_invert_by_lu1315345
Ref: zn_log1316371
Ref: zn_mult_table1319611
Ref: zn_nth_root1325056
Ref: zn_order1329901
Ref: zn_power_table1332152
Ref: zn_primroot1337037
Ref: zn_primroot_limit1339605
Ref: zn_primroot_p1339940
Ref: zn_primroot_pretest1341782
Ref: zn_primroot_verbose1342318
Node: Symmetries1342494
Node: Introduction to Symmetries1342694
Node: Functions and Variables for Symmetries1344157
Ref: comp2pui1344411
Ref: ele2pui1345010
Ref: ele2comp1345231
Ref: elem1345452
Ref: mon2schur1346909
Ref: multi1348060
Ref: multi_pui1348794
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Ref: pui2comp1350605
Ref: pui2ele1351876
Ref: puireduc1352282
Ref: schur2comp1352969
Ref: cont2part1353697
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Ref: multi_orbit1360104
Ref: multsym1360781
Ref: orbit1361647
Ref: pui_direct1362200
Ref: kostka1364458
Ref: lgtreillis1364704
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Ref: treillis1365246
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Ref: polynome2ele1366952
Ref: prodrac1367549
Ref: pui2polynome1367803
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Ref: resolvante_alternee11376190
Ref: resolvante_bipartite1376598
Ref: resolvante_diedrale1377193
Ref: resolvante_klein1377919
Ref: resolvante_klein31378280
Ref: resolvante_produit_sym1378641
Ref: resolvante_unitaire1379746
Ref: resolvante_vierer1380105
Ref: multinomial1380507
Ref: permut1380785
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Node: Functions and Variables for Groups1381031
Ref: todd_coxeter1381204
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Node: Introduction for Runtime Environment1383262
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Node: Functions and Variables for Runtime Environment1385561
Ref: maxima_tempdir1385790
Ref: maxima_userdir1386261
Ref: room1386990
Ref: sstatus1387413
Ref: status1387895
Ref: system1388948
Ref: time1389768
Ref: timedate1390280
Ref: parse_timedate1392249
Ref: encode_time1395971
Ref: decode_time1398499
Ref: absolute_real_time1400245
Ref: elapsed_real_time1400683
Ref: elapsed_run_time1401190
Node: Miscellaneous Options1401750
Node: Introduction to Miscellaneous Options1402033
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Ref: askexp1403197
Ref: genindex1403442
Ref: gensumnum1403616
Ref: gensym1403877
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Ref: rncombine1406044
Ref: setup_autoload1406765
Ref: tcl_output1408170
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Node: Introduction to Rules and Patterns1409654
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Ref: apply11411002
Ref: apply21411674
Ref: applyb11412229
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Ref: clear_rules1452289
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Node: Introduction to Sets1452662
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Ref: cartesian_product1462258
Ref: cartesian_product_list1463025
Ref: disjoin1466777
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Ref: num_partitions1488713
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Node: Introduction to Function Definition1506458
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Ref: memoizing function1510143
Ref: memoizing functions1510143
Ref: Memoizing function1510143
Ref: Memoizing functions1510143
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Ref: macroexpand11518880
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Ref: mode_identity1570334
Ref: remfunction1571862
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Ref: translate_file1575532
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Ref: tr_file_tty_messagesp1579935
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Ref: garbage_collect1591011
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Node: Introduction to alt-display1642132
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Ref: alt_display_output_type1645159
Ref: define_alt_display1646921
Ref: info_display1648600
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Ref: set_prompt1651439
Ref: Functions and Variables for alt-display-Footnote-11654027
Node: asympa-pkg1654166
Node: Introduction to asympa1654370
Ref: asympa1654558
Node: Functions and variables for asympa1654886
Node: augmented_lagrangian-pkg1655079
Node: Functions and Variables for augmented_lagrangian1655296
Ref: augmented_lagrangian_method1655547
Node: Bernstein-pkg1659237
Node: Functions and Variables for Bernstein1659422
Ref: bernstein_poly1659618
Ref: bernstein_explicit1661520
Ref: multibernstein_poly1662181
Ref: bernstein_approx1662628
Ref: bernstein_expand1663896
Node: bitwise-pkg1664403
Node: Functions and Variables for bitwise1664872
Ref: bit_not1665042
Ref: bit_and1665587
Ref: bit_or1666448
Ref: bit_xor1667303
Ref: bit_lsh1668168
Ref: bit_rsh1668940
Ref: bit_length1669720
Ref: bit_onep1670247
Node: bode-pkg1671833
Node: Functions and Variables for bode1671984
Ref: bode_gain1672155
Ref: bode_phase1673567
Node: celine-pkg1675227
Node: Introduction to celine1675379
Node: clebsch_gordan-pkg1679212
Node: Functions and Variables for clebsch_gordan1679402
Ref: clebsch_gordan1679623
Ref: racah_v1679758
Ref: racah_w1679917
Ref: wigner_3j1680060
Ref: wigner_6j1680221
Ref: wigner_9j1680317
Node: cobyla-pkg1680438
Node: Introduction to cobyla1680662
Node: Functions and Variables for cobyla1683141
Ref: fmin_cobyla1683362
Ref: bf_fmin_cobyla1686156
Node: Examples for cobyla1686555
Node: combinatorics-pkg1688210
Node: Package combinatorics1688427
Node: Functions and Variables for Combinatorics1690408
Ref: apply_cycles1690628
Ref: cyclep1691381
Ref: perm_cycles1692003
Ref: perm_decomp1692417
Ref: perm_inverse1692856
Ref: perm_length1693304
Ref: perm_lex_next1693773
Ref: perm_lex_rank1694112
Ref: perm_lex_unrank1694532
Ref: perm_next1694911
Ref: perm_parity1695272
Ref: perm_rank1695716
Ref: perm_undecomp1696122
Ref: perm_unrank1696476
Ref: permp1696841
Ref: perms1697287
Ref: perms_lex1698803
Ref: permult1700619
Ref: permute1700892
Ref: random_perm1701501
Node: contrib_ode-pkg1701768
Node: Introduction to contrib_ode1702093
Node: Functions and Variables for contrib_ode1707932
Ref: contrib_ode1708195
Ref: odelin1708354
Ref: ode_check1709136
Ref: gauss_a1710293
Ref: gauss_b1710877
Ref: dgauss_a1710945
Ref: dgauss_b1711079
Ref: kummer_m1711213
Ref: kummer_u1711643
Ref: dkummer_m1711830
Ref: dkummer_u1711951
Ref: bessel_simplify1712072
Ref: expintegral_e_simplify1713244
Node: Possible improvements to contrib_ode1713497
Node: Test cases for contrib_ode1714641
Node: References for contrib_ode1715421
Node: descriptive-pkg1716966
Node: Introduction to descriptive1717291
Node: Functions and Variables for data manipulation1722453
Ref: build_sample1722748
Ref: continuous_freq1725101
Ref: discrete_freq1728799
Ref: standardize1730143
Ref: subsample1730524
Ref: transform_sample1736762
Node: Functions and Variables for descriptive statistics1738350
Ref: mean1738674
Ref: var1739547
Ref: var11740161
Ref: std1741016
Ref: std11741670
Ref: noncentral_moment1742331
Ref: central_moment1743272
Ref: cv1744235
Ref: smin1744897
Ref: smax1745539
Ref: range1746184
Ref: quantile1746660
Ref: median1747570
Ref: qrange1748310
Ref: mean_deviation1749062
Ref: median_deviation1750031
Ref: harmonic_mean1750930
Ref: geometric_mean1751869
Ref: kurtosis1752800
Ref: skewness1753689
Ref: pearson_skewness1754590
Ref: quartile_skewness1755431
Ref: km1756352
Ref: cdf_empirical1757822
Ref: cov1758844
Ref: cov11760114
Ref: global_variances1761384
Ref: cor1763258
Ref: list_correlations1765456
Ref: principal_components1768677
Node: Functions and Variables for statistical graphs1772966
Ref: barsplot1773228
Ref: barsplot_description1777894
Ref: boxplot1778798
Ref: boxplot_description1782619
Ref: histogram1782806
Ref: histogram_description1788192
Ref: histogram_skyline1789231
Ref: piechart1790780
Ref: piechart_description1792476
Ref: scatterplot1792665
Ref: scatterplot_description1794628
Ref: starplot1794828
Ref: starplot_description1797217
Ref: stemplot1797406
Node: diag-pkg1798414
Node: Functions and Variables for diag1798570
Ref: diag_function1798741
Ref: JF1800008
Ref: jordan1800828
Ref: dispJordan1803294
Ref: minimalPoly1804474
Ref: ModeMatrix1805234
Ref: mat_function1806996
Node: distrib-pkg1811107
Node: Introduction to distrib1811365
Node: Functions and Variables for continuous distributions1817389
Node: Normal Random Variable1818316
Ref: pdf_normal1818717
Ref: cdf_normal1819302
Ref: quantile_normal1820151
Ref: mean_normal1820772
Ref: var_normal1821014
Ref: std_normal1821311
Ref: skewness_normal1821597
Ref: kurtosis_normal1821881
Ref: random_normal1822193
Node: Student's t Random Variable1822694
Ref: pdf_student_t1823242
Ref: cdf_student_t1824009
Ref: quantile_student_t1824863
Ref: mean_student_t1825165
Ref: var_student_t1825406
Ref: std_student_t1825888
Ref: skewness_student_t1826265
Ref: kurtosis_student_t1826576
Ref: random_student_t1826958
Node: Noncentral Student's t Random Variable1827790
Ref: pdf_noncentral_student_t1828437
Ref: cdf_noncentral_student_t1831719
Ref: quantile_noncentral_student_t1832169
Ref: mean_noncentral_student_t1832581
Ref: var_noncentral_student_t1833618
Ref: std_noncentral_student_t1834324
Ref: skewness_noncentral_student_t1835030
Ref: kurtosis_noncentral_student_t1836460
Ref: random_noncentral_student_t1838064
Node: Chi-squared Random Variable1839022
Ref: pdf_chi21839501
Ref: cdf_chi21840495
Ref: quantile_chi21841253
Ref: mean_chi21841678
Ref: var_chi21842033
Ref: std_chi21842396
Ref: skewness_chi21842791
Ref: kurtosis_chi21843473
Ref: random_chi21844051
Node: Noncentral Chi-squared Random Variable1844464
Ref: pdf_noncentral_chi21845075
Ref: cdf_noncentral_chi21845972
Ref: quantile_noncentral_chi21846278
Ref: mean_noncentral_chi21846674
Ref: var_noncentral_chi21846938
Ref: std_noncentral_chi21847212
Ref: skewness_noncentral_chi21847511
Ref: kurtosis_noncentral_chi21847920
Ref: random_noncentral_chi21848307
Node: F Random Variable1848729
Ref: pdf_f1849178
Ref: cdf_f1850099
Ref: quantile_f1850889
Ref: mean_f1851237
Ref: var_f1851572
Ref: std_f1851953
Ref: skewness_f1852338
Ref: kurtosis_f1852741
Ref: random_f1853237
Node: Exponential Random Variable1853865
Ref: pdf_exp1854297
Ref: cdf_exp1854810
Ref: quantile_exp1855334
Ref: mean_exp1855951
Ref: var_exp1856491
Ref: std_exp1857133
Ref: skewness_exp1857704
Ref: kurtosis_exp1858108
Ref: random_exp1858512
Node: Lognormal Random Variable1858886
Ref: pdf_lognormal1859242
Ref: cdf_lognormal1859980
Ref: quantile_lognormal1860952
Ref: mean_lognormal1861510
Ref: var_lognormal1861944
Ref: std_lognormal1862306
Ref: skewness_lognormal1862814
Ref: kurtosis_lognormal1863223
Ref: random_lognormal1863643
Node: Gamma Random Variable1864089
Ref: pdf_gamma1864520
Ref: cdf_gamma1865069
Ref: quantile_gamma1865761
Ref: mean_gamma1866059
Ref: var_gamma1866300
Ref: std_gamma1866596
Ref: skewness_gamma1866871
Ref: kurtosis_gamma1867258
Ref: random_gamma1867639
Node: Beta Random Variable1868368
Ref: pdf_beta1868739
Ref: cdf_beta1869245
Ref: quantile_beta1869972
Ref: mean_beta1870268
Ref: var_beta1870607
Ref: std_beta1870951
Ref: skewness_beta1871351
Ref: kurtosis_beta1871722
Ref: random_beta1872190
Node: Continuous Uniform Random Variable1872677
Ref: pdf_continuous_uniform1873047
Ref: cdf_continuous_uniform1873442
Ref: quantile_continuous_uniform1873852
Ref: mean_continuous_uniform1874192
Ref: var_continuous_uniform1874556
Ref: std_continuous_uniform1874988
Ref: skewness_continuous_uniform1875394
Ref: kurtosis_continuous_uniform1875699
Ref: random_continuous_uniform1875977
Node: Logistic Random Variable1876454
Ref: pdf_logistic1876836
Ref: cdf_logistic1877630
Ref: quantile_logistic1878191
Ref: mean_logistic1878499
Ref: var_logistic1878745
Ref: std_logistic1879148
Ref: skewness_logistic1879534
Ref: kurtosis_logistic1879823
Ref: random_logistic1880208
Node: Pareto Random Variable1880605
Ref: pdf_pareto1880844
Ref: cdf_pareto1881206
Ref: quantile_pareto1881573
Ref: mean_pareto1881874
Ref: var_pareto1882086
Ref: std_pareto1882521
Ref: skewness_pareto1882973
Ref: kurtosis_pareto1883367
Ref: random_pareto1883842
Node: Weibull Random Variable1884233
Ref: pdf_weibull1884474
Ref: cdf_weibull1885120
Ref: quantile_weibull1885503
Ref: mean_weibull1885807
Ref: var_weibull1886152
Ref: std_weibull1886531
Ref: skewness_weibull1886929
Ref: kurtosis_weibull1887656
Ref: random_weibull1888370
Node: Rayleigh Random Variable1888763
Ref: pdf_rayleigh1889109
Ref: cdf_rayleigh1889702
Ref: quantile_rayleigh1890288
Ref: mean_rayleigh1890823
Ref: var_rayleigh1891384
Ref: std_rayleigh1892226
Ref: skewness_rayleigh1893019
Ref: kurtosis_rayleigh1894128
Ref: random_rayleigh1895197
Node: Laplace Random Variable1895583
Ref: pdf_laplace1896038
Ref: cdf_laplace1896678
Ref: quantile_laplace1897055
Ref: mean_laplace1897357
Ref: var_laplace1897599
Ref: std_laplace1897897
Ref: skewness_laplace1898175
Ref: kurtosis_laplace1898459
Ref: random_laplace1898743
Node: Cauchy Random Variable1899134
Ref: pdf_cauchy1899741
Ref: cdf_cauchy1900159
Ref: quantile_cauchy1900677
Ref: random_cauchy1900977
Node: Gumbel Random Variable1901364
Ref: pdf_gumbel1901569
Ref: cdf_gumbel1902119
Ref: quantile_gumbel1902535
Ref: mean_gumbel1902835
Ref: var_gumbel1903229
Ref: std_gumbel1903624
Ref: skewness_gumbel1903998
Ref: kurtosis_gumbel1904778
Ref: random_gumbel1905155
Node: Functions and Variables for discrete distributions1905542
Node: General Finite Discrete Random Variable1906155
Ref: pdf_general_finite_discrete1906468
Ref: cdf_general_finite_discrete1907321
Ref: quantile_general_finite_discrete1908193
Ref: mean_general_finite_discrete1908423
Ref: var_general_finite_discrete1908637
Ref: std_general_finite_discrete1908854
Ref: skewness_general_finite_discrete1909081
Ref: kurtosis_general_finite_discrete1909315
Ref: random_general_finite_discrete1909549
Node: Binomial Random Variable1910189
Ref: pdf_binomial1910863
Ref: cdf_binomial1911276
Ref: quantile_binomial1911937
Ref: mean_binomial1912285
Ref: var_binomial1912573
Ref: std_binomial1912871
Ref: skewness_binomial1913192
Ref: kurtosis_binomial1913630
Ref: random_binomial1914068
Node: Poisson Random Variable1914633
Ref: pdf_poisson1915136
Ref: cdf_poisson1915574
Ref: quantile_poisson1916015
Ref: mean_poisson1916312
Ref: var_poisson1916548
Ref: std_poisson1916791
Ref: skewness_poisson1917062
Ref: kurtosis_poisson1917430
Ref: random_poisson1917808
Node: Bernoulli Random Variable1918352
Ref: pdf_bernoulli1918866
Ref: cdf_bernoulli1919355
Ref: quantile_bernoulli1919769
Ref: mean_bernoulli1920084
Ref: var_bernoulli1920465
Ref: std_bernoulli1920860
Ref: skewness_bernoulli1921281
Ref: kurtosis_bernoulli1921921
Ref: random_bernoulli1922563
Node: Geometric Random Variable1923007
Ref: pdf_geometric1923599
Ref: cdf_geometric1924017
Ref: quantile_geometric1924350
Ref: mean_geometric1924811
Ref: var_geometric1925305
Ref: std_geometric1925688
Ref: skewness_geometric1926019
Ref: kurtosis_geometric1926396
Ref: random_geometric1926826
Node: Discrete Uniform Random Variable1927386
Ref: pdf_discrete_uniform1927937
Ref: cdf_discrete_uniform1928370
Ref: quantile_discrete_uniform1928806
Ref: mean_discrete_uniform1929160
Ref: var_discrete_uniform1929542
Ref: std_discrete_uniform1929980
Ref: skewness_discrete_uniform1930449
Ref: kurtosis_discrete_uniform1930770
Ref: random_discrete_uniform1931258
Node: Hypergeometric Random Variable1931744
Ref: pdf_hypergeometric1932361
Ref: cdf_hypergeometric1933135
Ref: quantile_hypergeometric1933974
Ref: mean_hypergeometric1934365
Ref: var_hypergeometric1934818
Ref: std_hypergeometric1935361
Ref: skewness_hypergeometric1935968
Ref: kurtosis_hypergeometric1936652
Ref: random_hypergeometric1937551
Node: Negative Binomial Random Variable1938175
Ref: pdf_negative_binomial1938846
Ref: cdf_negative_binomial1939373
Ref: quantile_negative_binomial1939892
Ref: mean_negative_binomial1940262
Ref: var_negative_binomial1940663
Ref: std_negative_binomial1941117
Ref: skewness_negative_binomial1941551
Ref: kurtosis_negative_binomial1941999
Ref: random_negative_binomial1942487
Node: draw-pkg1942999
Node: Introduction to draw1943257
Node: Functions and Variables for draw1945724
Ref: gr2d1945981
Ref: gr3d1947319
Ref: draw1948226
Ref: draw2d1950320
Ref: draw3d1950599
Ref: draw_file1950878
Ref: multiplot_mode1951331
Ref: set_draw_defaults1952709
Ref: adapt_depth_draw1953533
Ref: allocation1953789
Ref: axis_3d1955197
Ref: axis_bottom1955710
Ref: axis_left1956182
Ref: axis_right1956617
Ref: axis_top1957055
Ref: background_color1957488
Ref: border1957877
Ref: capping1958514
Ref: cbrange1959144
Ref: cbtics1960086
Ref: color_draw1960798
Ref: colorbox1964631
Ref: columns1965672
Ref: contour1966312
Ref: contour_levels1967464
Ref: data_file_name1969427
Ref: delay1969830
Ref: dimensions_draw1970678
Ref: draw_realpart1972270
Ref: enhanced3d1972969
Ref: error_type1978856
Ref: file_name1979197
Ref: fill_color1979825
Ref: fill_density1980048
Ref: filled_func1980273
Ref: font1981754
Ref: font_size1985048
Ref: gnuplot_file_name1985480
Ref: grid_draw1986254
Ref: head_angle1987008
Ref: head_both1988245
Ref: head_length1988880
Ref: head_type1989591
Ref: interpolate_color1990445
Ref: ip_grid1993283
Ref: ip_grid_in1993486
Ref: key1993699
Ref: key_pos1994499
Ref: label_alignment1995580
Ref: label_orientation1996514
Ref: line_type1997465
Ref: line_width1998492
Ref: logcb1999258
Ref: logx_draw2000002
Ref: logx_secondary2000587
Ref: logy_draw2001482
Ref: logy_secondary2001936
Ref: logz2002797
Ref: palette_draw2003926
Ref: point_size2007208
Ref: point_type_draw2007816
Ref: points_joined2009606
Ref: proportional_axes2010815
Ref: surface_hide2012045
Ref: terminal2012585
Ref: title_draw2015856
Ref: transform2016286
Ref: transparent2017722
Ref: unit_vectors2018278
Ref: user_preamble2018977
Ref: view2020201
Ref: wired_surface2021121
Ref: x_voxel2021615
Ref: xaxis2021877
Ref: xaxis_color2022348
Ref: xaxis_secondary2022852
Ref: xaxis_type2023690
Ref: xaxis_width2024193
Ref: xlabel_draw2024664
Ref: xlabel_secondary2025211
Ref: xrange2025964
Ref: xrange_secondary2026500
Ref: xtics_draw2027019
Ref: xtics_axis2029001
Ref: xtics_rotate2029339
Ref: xtics_rotate_secondary2029609
Ref: xtics_secondary2029909
Ref: xtics_secondary_axis2030124
Ref: xu_grid2030492
Ref: xy_file2031025
Ref: xyplane2031394
Ref: y_voxel2031922
Ref: yaxis2032184
Ref: yaxis_color2032630
Ref: yaxis_secondary2033134
Ref: yaxis_type2033849
Ref: yaxis_width2034353
Ref: ylabel_draw2034824
Ref: ylabel_secondary2035378
Ref: yrange2036227
Ref: yrange_secondary2036827
Ref: ytics_draw2037667
Ref: ytics_axis2037860
Ref: ytics_rotate2038198
Ref: ytics_rotate_secondary2038468
Ref: ytics_secondary2038768
Ref: ytics_secondary_axis2038978
Ref: yv_grid2039346
Ref: z_voxel2039906
Ref: zaxis2040119
Ref: zaxis_color2040678
Ref: zaxis_type2041283
Ref: zaxis_width2041844
Ref: zlabel_draw2042411
Ref: zlabel_rotate2042998
Ref: zrange2043609
Ref: ztics_draw2044236
Ref: ztics_axis2044434
Ref: ztics_rotate2044772
Ref: bars2045091
Ref: cylindrical2045999
Ref: elevation_grid2046758
Ref: ellipse2047813
Ref: errors2049050
Ref: explicit2050512
Ref: image2052578
Ref: implicit2056420
Ref: label_draw2058403
Ref: mesh2059680
Ref: parametric2061141
Ref: parametric_surface2062662
Ref: points2063958
Ref: polar2070375
Ref: polygon2071276
Ref: quadrilateral2072206
Ref: rectangle2073379
Ref: region2074401
Ref: spherical2075179
Ref: triangle2075945
Ref: tube2076944
Ref: vector2077751
Ref: draw_renderer2079118
Node: Functions and Variables for pictures2079545
Ref: get_pixel2079797
Ref: make_level_picture2079965
Ref: make_rgb_picture2081141
Ref: negative_picture2082268
Ref: picture_equalp2082367
Ref: picturep2082485
Ref: read_xpm2082611
Ref: rgb2level2082703
Ref: take_channel2082840
Node: Functions and Variables for worldmap2083768
Ref: boundaries_array2084042
Ref: numbered_boundaries2084401
Ref: make_poly_continent2084936
Ref: make_poly_country2085548
Ref: make_polygon2085910
Ref: region_boundaries2089047
Ref: region_boundaries_plus2089598
Ref: geomap2090236
Node: drawdf-pkg2096540
Node: Introduction to drawdf2096725
Node: Functions and Variables for drawdf2098642
Ref: drawdf2098870
Node: dynamics-pkg2107414
Node: The dynamics package2107656
Node: Graphical analysis of discrete dynamical systems2108342
Ref: chaosgame2108608
Ref: evolution2109374
Ref: evolution2d2110120
Ref: ifs2111158
Ref: orbits2112582
Ref: staircase2114010
Node: Visualization with VTK2114880
Ref: scene2115339
Ref: scene_options2117606
Ref: scene_azimuth2117649
Ref: scene_background2117952
Ref: scene_elevation2118201
Ref: scene_height2118535
Ref: scene_restart2118713
Ref: scene_tstep2118966
Ref: scene_width2119170
Ref: scene_windowname2119345
Ref: scene_windowtitle2119650
Ref: scene_objects2119851
Ref: cone2119894
Ref: cube2120775
Ref: cylinder2121116
Ref: sphere2121773
Ref: object_options2121893
Ref: object_animation2121954
Ref: object_capping2122573
Ref: object_center2122831
Ref: object_color2123192
Ref: object_endphi2123409
Ref: object_endtheta2123875
Ref: object_height2124337
Ref: object_linewidth2124502
Ref: object_opacity2124689
Ref: object_orientation2124948
Ref: object_origin2125326
Ref: object_phiresolution2125602
Ref: object_points2125900
Ref: object_pointsize2126115
Ref: object_position2126299
Ref: object_radius2126520
Ref: object_resolution2126748
Ref: object_scale2126951
Ref: object_startphi2127406
Ref: object_starttheta2127873
Ref: object_surface2128336
Ref: object_thetaresolution2128639
Ref: object_track2128951
Ref: object_xlength2129942
Ref: object_ylength2130150
Ref: object_zlength2130358
Ref: object_wireframe2130566
Node: engineering-format-pkg2130782
Node: Functions and Variables for engineering-format2131149
Ref: engineering_format_floats2131390
Ref: engineering_format_min2131964
Ref: engineering_format_max2132747
Node: ezunits-pkg2133003
Node: Introduction to ezunits2133241
Node: Introduction to physical_constants2136968
Ref: physical_constants2137207
Node: Functions and Variables for ezunits2141907
Ref: constvalue2153008
Ref: declare_constvalue2153900
Ref: remove_constvalue2154504
Ref: units2154663
Ref: declare_units2156017
Ref: qty2156773
Ref: declare_qty2157748
Ref: unitp2158437
Ref: declare_unit_conversion2159656
Ref: declare_dimensions2161511
Ref: remove_dimensions2162495
Ref: declare_fundamental_dimensions2162668
Ref: declare_fundamental_units2164058
Ref: dimensions2165765
Ref: fundamental_units2167552
Ref: dimensionless2168928
Ref: natural_unit2170032
Node: f90-pkg2170277
Node: Package f902170405
Ref: f90_output_line_length_max2170511
Ref: function_f902172144
Node: finance-pkg2174232
Node: Introduction to finance2174421
Node: Functions and Variables for finance2175026
Ref: days3602175224
Ref: fv2175529
Ref: pv2175884
Ref: graph_flow2176242
Ref: annuity_pv2176627
Ref: annuity_fv2177038
Ref: geo_annuity_pv2177447
Ref: geo_annuity_fv2177914
Ref: amortization2178378
Ref: arit_amortization2179763
Ref: geo_amortization2181463
Ref: saving2183119
Ref: npv2184519
Ref: irr2184838
Ref: benefit_cost2185240
Node: fractals-pkg2185868
Node: Introduction to fractals2186161
Node: Definitions for IFS fractals2186779
Ref: sierpinskiale2187495
Ref: treefale2187867
Ref: fernfale2188156
Node: Definitions for complex fractals2188501
Ref: mandelbrot_set2188727
Ref: julia_set2189221
Ref: julia_parameter2189737
Ref: julia_sin2190039
Node: Definitions for Koch snowflakes2190848
Ref: snowmap2191070
Node: Definitions for Peano maps2191832
Ref: hilbertmap2192112
Ref: sierpinskimap2192359
Node: gentran-pkg2192614
Node: Introduction to Gentran2192873
Node: Functions for Gentran2193403
Node: Gentran Mode Switches2200896
Node: Gentran Option Variables2202904
Node: Gentran Evaluation Forms2210314
Node: ggf-pkg2213430
Node: Functions and Variables for ggf2213577
Ref: ggf2214875
Node: graphs-pkg2216947
Node: Introduction to graphs2217130
Node: Functions and Variables for graphs2218245
Ref: create_graph2218485
Ref: copy_graph2220549
Ref: circulant_graph2220619
Ref: clebsch_graph2221200
Ref: complement_graph2221264
Ref: complete_bipartite_graph2221348
Ref: complete_graph2221460
Ref: cycle_digraph2221545
Ref: cycle_graph2221629
Ref: cuboctahedron_graph2221702
Ref: cube_graph2221781
Ref: dodecahedron_graph2221852
Ref: empty_graph2221926
Ref: flower_snark2222005
Ref: from_adjacency_matrix2222254
Ref: frucht_graph2222361
Ref: graph_product2222423
Ref: graph_union2222672
Ref: grid_graph2222766
Ref: great_rhombicosidodecahedron_graph2222834
Ref: great_rhombicuboctahedron_graph2222940
Ref: grotzch_graph2223040
Ref: heawood_graph2223104
Ref: icosahedron_graph2223168
Ref: icosidodecahedron_graph2223240
Ref: induced_subgraph2223324
Ref: line_graph2223823
Ref: make_graph2223901
Ref: mycielski_graph2225129
Ref: new_graph2225219
Ref: path_digraph2225301
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Ref: poly_subtract2274862
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Ref: poly_colon_ideal2281653
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Ref: poly_gcd2282162
Ref: poly_grobner_equal2282804
Ref: poly_grobner_subsetp2283493
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Ref: cspline2303929
Ref: ratinterpol2308563
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Node: Introduction to lbfgs2334628
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Node: Introduction to linearalgebra2352994
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Ref: columnswap2358607
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Ref: diag_matrix2359585
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Ref: eigens_by_jacobi2360772
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Ref: hankel2364213
Ref: hessian2364502
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Ref: invert_by_lu2366349
Ref: jacobian2366518
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Ref: polytocompanion2382561
Ref: ptringularize2382855
Ref: rowp2383297
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Node: Functions and Variables for lsquares2386557
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Ref: lsquares_estimates_exact2393285
Ref: lsquares_estimates_approximate2395602
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Ref: mnewton2419681
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Ref: Introduction to ODEPACK-Footnote-12439818
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Ref: opsubst_func2449926
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Node: Introduction to orthogonal polynomials2452461
Ref: Floating point Evaluation2463231
Node: Functions and Variables for orthogonal polynomials2470468
Ref: assoc_legendre_p2470728
Ref: assoc_legendre_q2472458
Ref: chebyshev_t2473966
Ref: chebyshev_u2475285
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Ref: hermite2478440
Ref: intervalp2479957
Ref: jacobi_p2480074
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Ref: orthopoly_weight2486846
Ref: pochhammer2487591
Ref: spherical_bessel_j2489579
Ref: spherical_bessel_y2491326
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Ref: toffoli2521570
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Ref: ratp_lopow2523512
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