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: 1011023
maxima.info-3: 2079548

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: nolabels59670
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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
Ref: irrational483562
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
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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
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Ref: mesh_lines_color552186
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Ref: plot_real_part556122
Ref: point_type557041
Ref: pdf_file557626
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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
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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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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
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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: hipow658248
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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: ratp683379
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Ref: ratsimp683877
Ref: radsubstflag686304
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Ref: ratvars688164
Ref: resultant692883
Ref: option_resultant694404
Ref: savefactors694990
Ref: showratvars695308
Ref: sqfr695479
Ref: totaldisrep698535
Ref: untelltat698966
Node: Introduction to algebraic extensions699074
Node: Functions and Variables for algebraic extensions702570
Ref: algfac702820
Ref: algnorm703479
Ref: algtrace704016
Ref: bdiscr704389
Ref: primelmt705066
Ref: splitfield707444
Node: Special Functions709413
Node: Introduction to Special Functions709860
Node: Bessel Functions712053
Ref: bessel_j712233
Ref: bessel_y713080
Ref: bessel_i713829
Ref: bessel_k714691
Ref: hankel_1715457
Ref: hankel_2717279
Ref: besselexpand718093
Ref: scaled_bessel_i720258
Ref: scaled_bessel_i0720754
Ref: scaled_bessel_i1720839
Ref: %s720924
Node: Airy Functions722012
Ref: airy_ai723005
Ref: airy_dai723252
Ref: airy_bi723395
Ref: airy_dbi723623
Node: Gamma and Factorial Functions723788
Ref: bffac724157
Ref: bfpsi724657
Ref: cbffac725707
Ref: gamma726035
Ref: gamma_incomplete730390
Ref: gamma_incomplete_regularized731192
Ref: gamma_incomplete_generalized731795
Ref: gamma_expand732480
Ref: gammalim734184
Ref: makegamma734600
Ref: beta735299
Ref: beta_incomplete_regularized746062
Ref: beta_expand756052
Ref: polygamma756552
Ref: maxpsiposint758470
Ref: maxpsinegint759310
Ref: maxpsifracnum760733
Ref: maxpsifracdenom761805
Ref: makefact762887
Node: Exponential Integrals764117
Ref: expintegral_e1764500
Ref: expintegral_e765649
Ref: expintegral_si766040
Ref: expintegral_ci766379
Ref: expintegral_shi766774
Ref: expintegral_chi767118
Ref: expintrep767516
Ref: expintexpand778034
Node: Error Function779174
Ref: erf779562
Ref: erfc779960
Ref: erfi780305
Ref: erf_generalized780391
Ref: fresnel_c780652
Ref: fresnel_s781199
Ref: erf_representation781741
Ref: hypergeometric_representation786153
Node: Struve Functions788907
Ref: struve_h789541
Ref: struve_l790062
Node: Hypergeometric Functions790538
Ref: hgfred795085
Node: Parabolic Cylinder Functions797286
Ref: parabolic_cylinder_d797812
Node: Functions and Variables for Special Functions798394
Ref: kbateman799211
Node: Elliptic Functions799824
Node: Introduction to Elliptic Functions and Integrals800133
Node: Functions and Variables for Elliptic Functions804175
Ref: jacobi_sn804635
Ref: jacobi_cn804716
Ref: jacobi_dn804797
Ref: jacobi_ns804878
Ref: jacobi_sc804971
Ref: jacobi_sd805070
Ref: jacobi_nc805169
Ref: jacobi_cs805262
Ref: jacobi_cd805361
Ref: jacobi_nd805460
Ref: jacobi_ds805553
Ref: jacobi_dc805652
Ref: inverse_jacobi_sn805751
Ref: inverse_jacobi_cn806365
Ref: inverse_jacobi_dn806971
Ref: inverse_jacobi_ns807584
Ref: inverse_jacobi_sc808193
Ref: inverse_jacobi_sd808799
Ref: inverse_jacobi_nc809417
Ref: inverse_jacobi_cs810021
Ref: inverse_jacobi_cd810616
Ref: inverse_jacobi_nd811223
Ref: inverse_jacobi_ds811846
Ref: inverse_jacobi_dc812454
Node: Functions and Variables for Elliptic Integrals813058
Ref: elliptic_f813319
Ref: elliptic_e813536
Ref: elliptic_eu813773
Ref: elliptic_pi814150
Ref: elliptic_kc814329
Ref: elliptic_ec814619
Ref: carlson_rc814908
Ref: carlson_rd815665
Ref: carlson_rf816119
Ref: carlson_rj816545
Node: Limits816723
Node: Functions and Variables for Limits816890
Ref: lhospitallim817063
Ref: limit817309
Ref: limsubst819458
Ref: tlimit819745
Ref: tlimswitch819997
Ref: gruntz820494
Node: Differentiation821901
Node: Functions and Variables for Differentiation822088
Ref: antid822306
Ref: antidiff824760
Ref: at827048
Ref: atomgrad830170
Ref: atvalue830314
Ref: cartan832961
Ref: init_cartan833562
Ref: del834358
Ref: delta835118
Ref: dependencies835481
Ref: depends837204
Ref: derivabbrev839932
Ref: derivdegree840205
Ref: derivlist840821
Ref: derivsubst840980
Ref: diff841204
Ref: symbol_diff844655
Ref: express844821
Ref: gradef847586
Ref: gradefs849658
Node: Integration849957
Node: Introduction to Integration850237
Node: Functions and Variables for Integration851253
Ref: changevar851500
Ref: dblint853842
Ref: defint856383
Ref: erfflag856962
Ref: ilt857200
Ref: intanalysis859533
Ref: integrate861034
Ref: integration_constant869785
Ref: integration_constant_counter870665
Ref: integrate_use_rootsof872027
Ref: laplace874413
Ref: ldefint879176
Ref: pwilt879925
Ref: potential880914
Ref: prefer_d881474
Ref: residue882726
Ref: risch883407
Ref: specint884485
Ref: tldefint888952
Node: Introduction to QUADPACK889075
Ref: Introduction to QUADPACK-Footnote-1892855
Ref: Introduction to QUADPACK-Footnote-2892921
Ref: Introduction to QUADPACK-Footnote-3892987
Ref: Introduction to QUADPACK-Footnote-4893031
Ref: Introduction to QUADPACK-Footnote-5893093
Ref: Introduction to QUADPACK-Footnote-6893133
Ref: Introduction to QUADPACK-Footnote-7893175
Node: Functions and Variables for QUADPACK893360
Ref: quad_qag893562
Ref: quad_qags896359
Ref: quad_qagi898594
Ref: quad_qawc901128
Ref: quad_qawf904355
Ref: quad_qawo907070
Ref: quad_qaws910051
Ref: quad_qagp913011
Ref: quad_control915648
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Node: Functions and Variables for Equations916441
Ref: %rnum916629
Ref: %rnum_list916901
Ref: algepsilon917975
Ref: algexact918081
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Ref: allroots923620
Ref: bfallroots926031
Ref: backsubst926450
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Ref: funcsolve931077
Ref: globalsolve932035
Ref: ieqn934095
Ref: ieqnprint938217
Ref: lhs938929
Ref: linsolve940580
Ref: linsolvewarn943784
Ref: linsolve_params943966
Ref: multiplicities944361
Ref: nroots944579
Ref: nthroot944997
Ref: polyfactor945354
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Ref: rhs948628
Ref: rootsconmode950273
Ref: rootscontract950463
Ref: rootsepsilon953215
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Ref: solvedecomposes960580
Ref: solveexplicit960768
Ref: solvefactors961026
Ref: solvenullwarn961287
Ref: solveradcan961608
Ref: solvetrigwarn961875
Node: Differential Equations962139
Node: Introduction to Differential Equations962398
Node: Functions and Variables for Differential Equations963025
Ref: bc2963294
Ref: desolve963918
Ref: ic1966048
Ref: ic2966502
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Node: Introduction to fast Fourier transform972373
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Ref: polartorect973221
Ref: recttopolar973859
Ref: inverse_fft974577
Ref: fft977227
Ref: real_fft981855
Ref: inverse_real_fft982636
Ref: bf_inverse_fft983009
Ref: bf_fft983233
Ref: bf_real_fft983441
Ref: bf_inverse_real_fft983635
Node: Functions and Variables for FFTPACK5983828
Ref: fftpack5_fft984540
Ref: fftpack5_inverse_fft986838
Ref: fftpack5_real_fft987008
Ref: fftpack5_inverse_real_fft987868
Node: Functions for numerical solution of equations988304
Ref: horner988612
Ref: find_root989760
Ref: bf_find_root989760
Ref: find_root_error989760
Ref: find_root_abs989760
Ref: find_root_rel989760
Ref: newton993944
Node: Introduction to numerical solution of differential equations995281
Node: Functions for numerical solution of differential equations996598
Ref: plotdf996900
Ref: rk1007225
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Node: Introduction to Matrices and Linear Algebra1011304
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Node: Matrices1013211
Node: Vectors1014712
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Node: Functions and Variables for Matrices and Linear Algebra1016701
Ref: addcol1016995
Ref: addrow1017193
Ref: adjoint1017388
Ref: augcoefmatrix1017539
Ref: cauchy_matrix1018203
Ref: charpoly1019614
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Ref: col1021696
Ref: columnvector1021813
Ref: covect1021813
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Ref: eigenvectors1032908
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Ref: invert_by_adjoint1045270
Ref: invert1045514
Ref: list_matrix_entries1046680
Ref: lmxchar1046908
Ref: matrix1047427
Ref: matrixexp1053633
Ref: matrixmap1054076
Ref: matrixp1054262
Ref: matrix_element_add1054365
Ref: matrix_element_mult1055689
Ref: matrix_element_transpose1057683
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Ref: row1062533
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Ref: scalefactors1063304
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Ref: uniteigenvectors1067924
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Ref: unitvector1069263
Ref: uvect1069263
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Ref: vect_cross1071330
Ref: zeromatrix1071560
Node: Affine1071665
Node: Introduction to Affine1071860
Node: Functions and Variables for Affine1072103
Ref: fast_linsolve1072292
Ref: grobner_basis1072976
Ref: set_up_dot_simplifications1073576
Ref: declare_weights1074498
Ref: nc_degree1074749
Ref: dotsimp1074921
Ref: fast_central_elements1075173
Ref: check_overlaps1075594
Ref: mono1076246
Ref: monomial_dimensions1076492
Ref: extract_linear_equations1076662
Ref: list_nc_monomials1077058
Ref: all_dotsimp_denoms1077356
Node: itensor1077726
Node: Introduction to itensor1077905
Node: Functions and Variables for itensor1090784
Ref: dispcon1091043
Ref: entertensor1091319
Ref: changename1091640
Ref: listoftens1092025
Ref: ishow1092560
Ref: indices1092903
Ref: rename1093912
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Ref: remcon1098802
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Ref: idummyx1106911
Ref: icounter1107046
Ref: kdelta1107295
Ref: kdels1108121
Ref: levi_civita1108983
Ref: lc2kdt1109239
Ref: lc_l1112706
Ref: lc_u1113791
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Ref: undiff1122319
Ref: evundiff1122818
Ref: flush1125218
Ref: flushd1125378
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Ref: remcoord1126671
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Ref: simpmetderiv1128124
Ref: flush1deriv1131273
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Ref: lorentz1135250
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Ref: extdiff1154801
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Ref: ic_convert1160127
Node: ctensor1162943
Node: Introduction to ctensor1163123
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Ref: csetup1167830
Ref: cmetric1168049
Ref: ct1169028
Ref: init1175331
Ref: christof1176739
Ref: ricci1177686
Ref: uricci1177972
Ref: scurvature1178533
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Ref: lriemann1181056
Ref: uriemann1181551
Ref: rinvariant1181753
Ref: weyl1182004
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Ref: psi1189981
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Ref: nonmetricity1196850
Ref: ctransform1197037
Ref: findde1197438
Ref: cograd1199796
Ref: contragrad1199998
Ref: ctensor_dscalar1201136
Ref: checkdiv1202039
Ref: cgeodesic1202494
Ref: bdvac1202803
Ref: invariant11203207
Ref: invariant21203417
Ref: bimetric1203683
Ref: diagmatrixp1203935
Ref: symmetricp1204085
Ref: ntermst1204433
Ref: cdisplay1204803
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Ref: dim1218539
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Ref: cframe_flag1219485
Ref: ctorsion_flag1219933
Ref: cnonmet_flag1220182
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Ref: ctaypov1220881
Ref: ctaypt1221012
Ref: gdet1221154
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Ref: npi1223820
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Node: Introduction to atensor1228656
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Ref: init_atensor1232906
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Ref: adim1236163
Ref: aform1236376
Ref: asymbol1236567
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Node: Functions and Variables for Sums and Products1238968
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Ref: intosum1240377
Ref: simpproduct1240900
Ref: product1241326
Ref: simpsum1243888
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Ref: sumexpand1249575
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Node: Functions and Variables for Series1251125
Ref: cauchysum1251371
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Ref: maxtayorder1254030
Ref: niceindices1254285
Ref: niceindicespref1255756
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Ref: pade1258978
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Ref: taylorinfo1274706
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Ref: taylor_truncate_polynomials1276793
Ref: taytorat1277104
Ref: trunc1277308
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Ref: verbose1279105
Node: Introduction to Fourier series1279251
Node: Functions and Variables for Fourier series1279747
Ref: equalp1280037
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Ref: absint1280932
Ref: fourier1281594
Ref: foursimp1281744
Ref: sinnpiflag1281926
Ref: cosnpiflag1282016
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Ref: fourcos1282361
Ref: foursin1282497
Ref: totalfourier1282631
Ref: fourint1282765
Ref: fourintcos1282925
Ref: forintsin1283060
Node: Functions and Variables for Poisson series1283193
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Ref: outopois1283517
Ref: poisdiff1283884
Ref: poisexpt1284042
Ref: poisint1284173
Ref: poislim1284358
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Ref: poissimp1285070
Ref: poisson1285181
Ref: poissubst1285296
Ref: poistimes1286219
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Ref: printpois1286703
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Node: Functions and Variables for Number Theory1287090
Ref: bern1287298
Ref: bernpoly1288068
Ref: bfzeta1288170
Ref: bfhzeta1288367
Ref: burn1288981
Ref: chinese1289924
Ref: cf1290883
Ref: cfdisrep1293883
Ref: cfexpand1294576
Ref: cflength1295217
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Ref: euler1296416
Ref: factors_only1296951
Ref: fib1297354
Ref: fibtophi1297697
Ref: ifactors1298901
Ref: igcdex1300155
Ref: inrt1300855
Ref: inv_mod1301145
Ref: isqrt1301556
Ref: jacobi1301679
Ref: lcm1301936
Ref: lucas1302156
Ref: mod1302572
Ref: next_prime1303863
Ref: partfrac1304019
Ref: power_mod1305348
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Ref: primep_number_of_tests1306691
Ref: primes1306818
Ref: prev_time1306994
Ref: qunit1307151
Ref: totient1307575
Ref: zeta1307963
Ref: zeta%pi1309389
Ref: zn_add_table1310028
Ref: zn_characteristic_factors1310179
Ref: zn_carmichael_lambda1313788
Ref: zn_determinant1314015
Ref: zn_factor_generators1315114
Ref: zn_invert_by_lu1315346
Ref: zn_log1316372
Ref: zn_mult_table1319612
Ref: zn_nth_root1325057
Ref: zn_order1329902
Ref: zn_power_table1332153
Ref: zn_primroot1337038
Ref: zn_primroot_limit1339606
Ref: zn_primroot_p1339941
Ref: zn_primroot_pretest1341783
Ref: zn_primroot_verbose1342319
Node: Symmetries1342495
Node: Introduction to Symmetries1342695
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Ref: comp2pui1344412
Ref: ele2pui1345011
Ref: ele2comp1345232
Ref: elem1345453
Ref: mon2schur1346910
Ref: multi1348061
Ref: multi_pui1348795
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Ref: pui2ele1351877
Ref: puireduc1352283
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Ref: contract1354140
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Ref: multi_orbit1360105
Ref: multsym1360782
Ref: orbit1361648
Ref: pui_direct1362201
Ref: kostka1364459
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Ref: polynome2ele1366953
Ref: prodrac1367550
Ref: pui2polynome1367804
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Ref: resolvante_alternee11376191
Ref: resolvante_bipartite1376599
Ref: resolvante_diedrale1377194
Ref: resolvante_klein1377920
Ref: resolvante_klein31378281
Ref: resolvante_produit_sym1378642
Ref: resolvante_unitaire1379747
Ref: resolvante_vierer1380106
Ref: multinomial1380508
Ref: permut1380786
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Node: Functions and Variables for Groups1381032
Ref: todd_coxeter1381205
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Node: Introduction for Runtime Environment1383263
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Node: Functions and Variables for Runtime Environment1385562
Ref: maxima_tempdir1385791
Ref: maxima_userdir1386262
Ref: room1386991
Ref: sstatus1387414
Ref: status1387896
Ref: system1388949
Ref: time1389769
Ref: timedate1390281
Ref: parse_timedate1392250
Ref: encode_time1395973
Ref: decode_time1398501
Ref: absolute_real_time1400247
Ref: elapsed_real_time1400685
Ref: elapsed_run_time1401192
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Node: Introduction to Miscellaneous Options1402035
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Ref: gensumnum1403618
Ref: gensym1403879
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Ref: rncombine1406046
Ref: setup_autoload1406767
Ref: tcl_output1408172
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Node: Introduction to Rules and Patterns1409656
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Ref: apply11411004
Ref: apply21411676
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Ref: clear_rules1452291
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Node: Introduction to Sets1452664
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Ref: cartesian_product1462260
Ref: cartesian_product_list1463027
Ref: disjoin1466779
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Node: Introduction to Function Definition1506460
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Ref: memoizing function1510145
Ref: memoizing functions1510145
Ref: Memoizing function1510145
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Ref: macroexpand11518882
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Ref: mode_identity1570336
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Ref: translate_file1575534
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Ref: tr_bound_function_applyp1578841
Ref: tr_file_tty_messagesp1579937
Ref: tr_float_can_branch_complex1580321
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Ref: garbage_collect1591013
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Ref: alt_display_output_type1645161
Ref: define_alt_display1646923
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Ref: Functions and Variables for alt-display-Footnote-11654029
Node: asympa-pkg1654168
Node: Introduction to asympa1654372
Ref: asympa1654560
Node: Functions and variables for asympa1654888
Node: augmented_lagrangian-pkg1655081
Node: Functions and Variables for augmented_lagrangian1655298
Ref: augmented_lagrangian_method1655549
Node: Bernstein-pkg1659239
Node: Functions and Variables for Bernstein1659424
Ref: bernstein_poly1659620
Ref: bernstein_explicit1661522
Ref: multibernstein_poly1662183
Ref: bernstein_approx1662630
Ref: bernstein_expand1663898
Node: bitwise-pkg1664405
Node: Functions and Variables for bitwise1664874
Ref: bit_not1665044
Ref: bit_and1665589
Ref: bit_or1666450
Ref: bit_xor1667305
Ref: bit_lsh1668170
Ref: bit_rsh1668942
Ref: bit_length1669722
Ref: bit_onep1670249
Node: bode-pkg1671835
Node: Functions and Variables for bode1671986
Ref: bode_gain1672157
Ref: bode_phase1673569
Node: celine-pkg1675229
Node: Introduction to celine1675381
Node: clebsch_gordan-pkg1679214
Node: Functions and Variables for clebsch_gordan1679404
Ref: clebsch_gordan1679625
Ref: racah_v1679760
Ref: racah_w1679919
Ref: wigner_3j1680062
Ref: wigner_6j1680223
Ref: wigner_9j1680319
Node: cobyla-pkg1680440
Node: Introduction to cobyla1680664
Node: Functions and Variables for cobyla1683144
Ref: fmin_cobyla1683365
Ref: bf_fmin_cobyla1686159
Node: Examples for cobyla1686558
Node: combinatorics-pkg1688213
Node: Package combinatorics1688430
Node: Functions and Variables for Combinatorics1690411
Ref: apply_cycles1690631
Ref: cyclep1691384
Ref: perm_cycles1692006
Ref: perm_decomp1692420
Ref: perm_inverse1692859
Ref: perm_length1693307
Ref: perm_lex_next1693776
Ref: perm_lex_rank1694115
Ref: perm_lex_unrank1694535
Ref: perm_next1694914
Ref: perm_parity1695275
Ref: perm_rank1695719
Ref: perm_undecomp1696125
Ref: perm_unrank1696479
Ref: permp1696844
Ref: perms1697290
Ref: perms_lex1698806
Ref: permult1700622
Ref: permute1700895
Ref: random_perm1701504
Node: contrib_ode-pkg1701771
Node: Introduction to contrib_ode1702096
Node: Functions and Variables for contrib_ode1707935
Ref: contrib_ode1708198
Ref: odelin1708357
Ref: ode_check1709139
Ref: gauss_a1710296
Ref: gauss_b1710880
Ref: dgauss_a1710948
Ref: dgauss_b1711082
Ref: kummer_m1711216
Ref: kummer_u1711646
Ref: dkummer_m1711833
Ref: dkummer_u1711954
Ref: bessel_simplify1712075
Ref: expintegral_e_simplify1713247
Node: Possible improvements to contrib_ode1713500
Node: Test cases for contrib_ode1714644
Node: References for contrib_ode1715424
Node: descriptive-pkg1716969
Node: Introduction to descriptive1717294
Node: Functions and Variables for data manipulation1722456
Ref: build_sample1722751
Ref: continuous_freq1725104
Ref: discrete_freq1728802
Ref: standardize1730146
Ref: subsample1730527
Ref: transform_sample1736765
Node: Functions and Variables for descriptive statistics1738353
Ref: mean1738677
Ref: var1739550
Ref: var11740164
Ref: std1741019
Ref: std11741673
Ref: noncentral_moment1742334
Ref: central_moment1743275
Ref: cv1744238
Ref: smin1744900
Ref: smax1745542
Ref: range1746187
Ref: quantile1746663
Ref: median1747573
Ref: qrange1748313
Ref: mean_deviation1749065
Ref: median_deviation1750034
Ref: harmonic_mean1750933
Ref: geometric_mean1751872
Ref: kurtosis1752803
Ref: skewness1753692
Ref: pearson_skewness1754593
Ref: quartile_skewness1755434
Ref: km1756355
Ref: cdf_empirical1757825
Ref: cov1758847
Ref: cov11760117
Ref: global_variances1761387
Ref: cor1763261
Ref: list_correlations1765459
Ref: principal_components1768680
Node: Functions and Variables for statistical graphs1772969
Ref: barsplot1773231
Ref: barsplot_description1777897
Ref: boxplot1778801
Ref: boxplot_description1782622
Ref: histogram1782809
Ref: histogram_description1788195
Ref: histogram_skyline1789234
Ref: piechart1790783
Ref: piechart_description1792479
Ref: scatterplot1792668
Ref: scatterplot_description1794631
Ref: starplot1794831
Ref: starplot_description1797220
Ref: stemplot1797409
Node: diag-pkg1798417
Node: Functions and Variables for diag1798573
Ref: diag_function1798744
Ref: JF1800011
Ref: jordan1800831
Ref: dispJordan1803297
Ref: minimalPoly1804477
Ref: ModeMatrix1805237
Ref: mat_function1806999
Node: distrib-pkg1811110
Node: Introduction to distrib1811368
Node: Functions and Variables for continuous distributions1817392
Node: Normal Random Variable1818319
Ref: pdf_normal1818720
Ref: cdf_normal1819305
Ref: quantile_normal1820154
Ref: mean_normal1820775
Ref: var_normal1821017
Ref: std_normal1821314
Ref: skewness_normal1821600
Ref: kurtosis_normal1821884
Ref: random_normal1822196
Node: Student's t Random Variable1822697
Ref: pdf_student_t1823245
Ref: cdf_student_t1824012
Ref: quantile_student_t1824866
Ref: mean_student_t1825168
Ref: var_student_t1825409
Ref: std_student_t1825891
Ref: skewness_student_t1826268
Ref: kurtosis_student_t1826579
Ref: random_student_t1826961
Node: Noncentral Student's t Random Variable1827793
Ref: pdf_noncentral_student_t1828440
Ref: cdf_noncentral_student_t1831722
Ref: quantile_noncentral_student_t1832172
Ref: mean_noncentral_student_t1832584
Ref: var_noncentral_student_t1833621
Ref: std_noncentral_student_t1834327
Ref: skewness_noncentral_student_t1835033
Ref: kurtosis_noncentral_student_t1836463
Ref: random_noncentral_student_t1838067
Node: Chi-squared Random Variable1839025
Ref: pdf_chi21839504
Ref: cdf_chi21840498
Ref: quantile_chi21841256
Ref: mean_chi21841681
Ref: var_chi21842036
Ref: std_chi21842399
Ref: skewness_chi21842794
Ref: kurtosis_chi21843476
Ref: random_chi21844054
Node: Noncentral Chi-squared Random Variable1844467
Ref: pdf_noncentral_chi21845078
Ref: cdf_noncentral_chi21845975
Ref: quantile_noncentral_chi21846281
Ref: mean_noncentral_chi21846677
Ref: var_noncentral_chi21846941
Ref: std_noncentral_chi21847215
Ref: skewness_noncentral_chi21847514
Ref: kurtosis_noncentral_chi21847923
Ref: random_noncentral_chi21848310
Node: F Random Variable1848732
Ref: pdf_f1849181
Ref: cdf_f1850102
Ref: quantile_f1850892
Ref: mean_f1851240
Ref: var_f1851575
Ref: std_f1851956
Ref: skewness_f1852341
Ref: kurtosis_f1852744
Ref: random_f1853240
Node: Exponential Random Variable1853868
Ref: pdf_exp1854300
Ref: cdf_exp1854813
Ref: quantile_exp1855337
Ref: mean_exp1855954
Ref: var_exp1856494
Ref: std_exp1857136
Ref: skewness_exp1857707
Ref: kurtosis_exp1858111
Ref: random_exp1858515
Node: Lognormal Random Variable1858889
Ref: pdf_lognormal1859245
Ref: cdf_lognormal1859983
Ref: quantile_lognormal1860955
Ref: mean_lognormal1861513
Ref: var_lognormal1861947
Ref: std_lognormal1862309
Ref: skewness_lognormal1862817
Ref: kurtosis_lognormal1863226
Ref: random_lognormal1863646
Node: Gamma Random Variable1864092
Ref: pdf_gamma1864523
Ref: cdf_gamma1865072
Ref: quantile_gamma1865764
Ref: mean_gamma1866062
Ref: var_gamma1866303
Ref: std_gamma1866599
Ref: skewness_gamma1866874
Ref: kurtosis_gamma1867261
Ref: random_gamma1867642
Node: Beta Random Variable1868371
Ref: pdf_beta1868742
Ref: cdf_beta1869248
Ref: quantile_beta1869975
Ref: mean_beta1870271
Ref: var_beta1870610
Ref: std_beta1870954
Ref: skewness_beta1871354
Ref: kurtosis_beta1871725
Ref: random_beta1872193
Node: Continuous Uniform Random Variable1872680
Ref: pdf_continuous_uniform1873050
Ref: cdf_continuous_uniform1873445
Ref: quantile_continuous_uniform1873855
Ref: mean_continuous_uniform1874195
Ref: var_continuous_uniform1874559
Ref: std_continuous_uniform1874991
Ref: skewness_continuous_uniform1875397
Ref: kurtosis_continuous_uniform1875702
Ref: random_continuous_uniform1875980
Node: Logistic Random Variable1876457
Ref: pdf_logistic1876839
Ref: cdf_logistic1877633
Ref: quantile_logistic1878194
Ref: mean_logistic1878502
Ref: var_logistic1878748
Ref: std_logistic1879151
Ref: skewness_logistic1879537
Ref: kurtosis_logistic1879826
Ref: random_logistic1880211
Node: Pareto Random Variable1880608
Ref: pdf_pareto1880847
Ref: cdf_pareto1881209
Ref: quantile_pareto1881576
Ref: mean_pareto1881877
Ref: var_pareto1882089
Ref: std_pareto1882524
Ref: skewness_pareto1882976
Ref: kurtosis_pareto1883370
Ref: random_pareto1883845
Node: Weibull Random Variable1884236
Ref: pdf_weibull1884477
Ref: cdf_weibull1885123
Ref: quantile_weibull1885506
Ref: mean_weibull1885810
Ref: var_weibull1886155
Ref: std_weibull1886534
Ref: skewness_weibull1886932
Ref: kurtosis_weibull1887659
Ref: random_weibull1888373
Node: Rayleigh Random Variable1888766
Ref: pdf_rayleigh1889112
Ref: cdf_rayleigh1889705
Ref: quantile_rayleigh1890291
Ref: mean_rayleigh1890826
Ref: var_rayleigh1891387
Ref: std_rayleigh1892229
Ref: skewness_rayleigh1893022
Ref: kurtosis_rayleigh1894131
Ref: random_rayleigh1895200
Node: Laplace Random Variable1895586
Ref: pdf_laplace1896041
Ref: cdf_laplace1896681
Ref: quantile_laplace1897058
Ref: mean_laplace1897360
Ref: var_laplace1897602
Ref: std_laplace1897900
Ref: skewness_laplace1898178
Ref: kurtosis_laplace1898462
Ref: random_laplace1898746
Node: Cauchy Random Variable1899137
Ref: pdf_cauchy1899744
Ref: cdf_cauchy1900162
Ref: quantile_cauchy1900680
Ref: random_cauchy1900980
Node: Gumbel Random Variable1901367
Ref: pdf_gumbel1901572
Ref: cdf_gumbel1902122
Ref: quantile_gumbel1902538
Ref: mean_gumbel1902838
Ref: var_gumbel1903232
Ref: std_gumbel1903627
Ref: skewness_gumbel1904001
Ref: kurtosis_gumbel1904781
Ref: random_gumbel1905158
Node: Functions and Variables for discrete distributions1905545
Node: General Finite Discrete Random Variable1906158
Ref: pdf_general_finite_discrete1906471
Ref: cdf_general_finite_discrete1907324
Ref: quantile_general_finite_discrete1908196
Ref: mean_general_finite_discrete1908426
Ref: var_general_finite_discrete1908640
Ref: std_general_finite_discrete1908857
Ref: skewness_general_finite_discrete1909084
Ref: kurtosis_general_finite_discrete1909318
Ref: random_general_finite_discrete1909552
Node: Binomial Random Variable1910192
Ref: pdf_binomial1910866
Ref: cdf_binomial1911279
Ref: quantile_binomial1911940
Ref: mean_binomial1912288
Ref: var_binomial1912576
Ref: std_binomial1912874
Ref: skewness_binomial1913195
Ref: kurtosis_binomial1913633
Ref: random_binomial1914071
Node: Poisson Random Variable1914636
Ref: pdf_poisson1915139
Ref: cdf_poisson1915577
Ref: quantile_poisson1916018
Ref: mean_poisson1916315
Ref: var_poisson1916551
Ref: std_poisson1916794
Ref: skewness_poisson1917065
Ref: kurtosis_poisson1917433
Ref: random_poisson1917811
Node: Bernoulli Random Variable1918355
Ref: pdf_bernoulli1918869
Ref: cdf_bernoulli1919358
Ref: quantile_bernoulli1919772
Ref: mean_bernoulli1920087
Ref: var_bernoulli1920468
Ref: std_bernoulli1920863
Ref: skewness_bernoulli1921284
Ref: kurtosis_bernoulli1921924
Ref: random_bernoulli1922566
Node: Geometric Random Variable1923010
Ref: pdf_geometric1923602
Ref: cdf_geometric1924020
Ref: quantile_geometric1924353
Ref: mean_geometric1924814
Ref: var_geometric1925308
Ref: std_geometric1925691
Ref: skewness_geometric1926022
Ref: kurtosis_geometric1926399
Ref: random_geometric1926829
Node: Discrete Uniform Random Variable1927389
Ref: pdf_discrete_uniform1927940
Ref: cdf_discrete_uniform1928373
Ref: quantile_discrete_uniform1928809
Ref: mean_discrete_uniform1929163
Ref: var_discrete_uniform1929545
Ref: std_discrete_uniform1929983
Ref: skewness_discrete_uniform1930452
Ref: kurtosis_discrete_uniform1930773
Ref: random_discrete_uniform1931261
Node: Hypergeometric Random Variable1931747
Ref: pdf_hypergeometric1932364
Ref: cdf_hypergeometric1933138
Ref: quantile_hypergeometric1933977
Ref: mean_hypergeometric1934368
Ref: var_hypergeometric1934821
Ref: std_hypergeometric1935364
Ref: skewness_hypergeometric1935971
Ref: kurtosis_hypergeometric1936655
Ref: random_hypergeometric1937554
Node: Negative Binomial Random Variable1938178
Ref: pdf_negative_binomial1938849
Ref: cdf_negative_binomial1939376
Ref: quantile_negative_binomial1939895
Ref: mean_negative_binomial1940265
Ref: var_negative_binomial1940666
Ref: std_negative_binomial1941120
Ref: skewness_negative_binomial1941554
Ref: kurtosis_negative_binomial1942002
Ref: random_negative_binomial1942490
Node: draw-pkg1943002
Node: Introduction to draw1943260
Node: Functions and Variables for draw1945727
Ref: gr2d1945984
Ref: gr3d1947322
Ref: draw1948229
Ref: draw2d1950323
Ref: draw3d1950602
Ref: draw_file1950881
Ref: multiplot_mode1951334
Ref: set_draw_defaults1952712
Ref: adapt_depth_draw1953536
Ref: allocation1953792
Ref: axis_3d1955200
Ref: axis_bottom1955713
Ref: axis_left1956185
Ref: axis_right1956620
Ref: axis_top1957058
Ref: background_color1957491
Ref: border1957880
Ref: capping1958517
Ref: cbrange1959147
Ref: cbtics1960089
Ref: color_draw1960801
Ref: colorbox1964634
Ref: columns1965675
Ref: contour1966315
Ref: contour_levels1967467
Ref: data_file_name1969430
Ref: delay1969833
Ref: dimensions_draw1970681
Ref: draw_realpart1972273
Ref: enhanced3d1972972
Ref: error_type1978859
Ref: file_name1979200
Ref: fill_color1979828
Ref: fill_density1980051
Ref: filled_func1980276
Ref: font1981757
Ref: font_size1985051
Ref: gnuplot_file_name1985483
Ref: grid_draw1986257
Ref: head_angle1987011
Ref: head_both1988248
Ref: head_length1988883
Ref: head_type1989594
Ref: interpolate_color1990448
Ref: ip_grid1993286
Ref: ip_grid_in1993489
Ref: key1993702
Ref: key_pos1994502
Ref: label_alignment1995583
Ref: label_orientation1996517
Ref: line_type1997468
Ref: line_width1998495
Ref: logcb1999261
Ref: logx_draw2000005
Ref: logx_secondary2000590
Ref: logy_draw2001485
Ref: logy_secondary2001939
Ref: logz2002800
Ref: palette_draw2003929
Ref: point_size2007211
Ref: point_type_draw2007819
Ref: points_joined2009609
Ref: proportional_axes2010818
Ref: surface_hide2012048
Ref: terminal2012588
Ref: title_draw2015859
Ref: transform2016289
Ref: transparent2017725
Ref: unit_vectors2018281
Ref: user_preamble2018980
Ref: view2020204
Ref: wired_surface2021124
Ref: x_voxel2021618
Ref: xaxis2021880
Ref: xaxis_color2022351
Ref: xaxis_secondary2022855
Ref: xaxis_type2023693
Ref: xaxis_width2024196
Ref: xlabel_draw2024667
Ref: xlabel_secondary2025214
Ref: xrange2025967
Ref: xrange_secondary2026503
Ref: xtics_draw2027022
Ref: xtics_axis2029004
Ref: xtics_rotate2029342
Ref: xtics_rotate_secondary2029612
Ref: xtics_secondary2029912
Ref: xtics_secondary_axis2030127
Ref: xu_grid2030495
Ref: xy_file2031028
Ref: xyplane2031397
Ref: y_voxel2031925
Ref: yaxis2032187
Ref: yaxis_color2032633
Ref: yaxis_secondary2033137
Ref: yaxis_type2033852
Ref: yaxis_width2034356
Ref: ylabel_draw2034827
Ref: ylabel_secondary2035381
Ref: yrange2036230
Ref: yrange_secondary2036830
Ref: ytics_draw2037670
Ref: ytics_axis2037863
Ref: ytics_rotate2038201
Ref: ytics_rotate_secondary2038471
Ref: ytics_secondary2038771
Ref: ytics_secondary_axis2038981
Ref: yv_grid2039349
Ref: z_voxel2039909
Ref: zaxis2040122
Ref: zaxis_color2040681
Ref: zaxis_type2041286
Ref: zaxis_width2041847
Ref: zlabel_draw2042414
Ref: zlabel_rotate2043001
Ref: zrange2043612
Ref: ztics_draw2044239
Ref: ztics_axis2044437
Ref: ztics_rotate2044775
Ref: bars2045094
Ref: cylindrical2046002
Ref: elevation_grid2046761
Ref: ellipse2047816
Ref: errors2049053
Ref: explicit2050515
Ref: image2052581
Ref: implicit2056423
Ref: label_draw2058406
Ref: mesh2059683
Ref: parametric2061144
Ref: parametric_surface2062665
Ref: points2063961
Ref: polar2070378
Ref: polygon2071279
Ref: quadrilateral2072209
Ref: rectangle2073382
Ref: region2074404
Ref: spherical2075182
Ref: triangle2075948
Ref: tube2076947
Ref: vector2077754
Ref: draw_renderer2079121
Node: Functions and Variables for pictures2079548
Ref: get_pixel2079800
Ref: make_level_picture2079968
Ref: make_rgb_picture2081144
Ref: negative_picture2082271
Ref: picture_equalp2082370
Ref: picturep2082488
Ref: read_xpm2082614
Ref: rgb2level2082706
Ref: take_channel2082843
Node: Functions and Variables for worldmap2083771
Ref: boundaries_array2084045
Ref: numbered_boundaries2084404
Ref: make_poly_continent2084939
Ref: make_poly_country2085551
Ref: make_polygon2085913
Ref: region_boundaries2089050
Ref: region_boundaries_plus2089601
Ref: geomap2090239
Node: drawdf-pkg2096543
Node: Introduction to drawdf2096728
Node: Functions and Variables for drawdf2098645
Ref: drawdf2098873
Node: dynamics-pkg2107417
Node: The dynamics package2107659
Node: Graphical analysis of discrete dynamical systems2108345
Ref: chaosgame2108611
Ref: evolution2109377
Ref: evolution2d2110123
Ref: ifs2111161
Ref: orbits2112585
Ref: staircase2114013
Node: Visualization with VTK2114883
Ref: scene2115342
Ref: scene_options2117609
Ref: scene_azimuth2117652
Ref: scene_background2117955
Ref: scene_elevation2118204
Ref: scene_height2118538
Ref: scene_restart2118716
Ref: scene_tstep2118969
Ref: scene_width2119173
Ref: scene_windowname2119348
Ref: scene_windowtitle2119653
Ref: scene_objects2119854
Ref: cone2119897
Ref: cube2120778
Ref: cylinder2121119
Ref: sphere2121776
Ref: object_options2121896
Ref: object_animation2121957
Ref: object_capping2122576
Ref: object_center2122834
Ref: object_color2123195
Ref: object_endphi2123412
Ref: object_endtheta2123878
Ref: object_height2124340
Ref: object_linewidth2124505
Ref: object_opacity2124692
Ref: object_orientation2124951
Ref: object_origin2125329
Ref: object_phiresolution2125605
Ref: object_points2125903
Ref: object_pointsize2126118
Ref: object_position2126302
Ref: object_radius2126523
Ref: object_resolution2126751
Ref: object_scale2126954
Ref: object_startphi2127409
Ref: object_starttheta2127876
Ref: object_surface2128339
Ref: object_thetaresolution2128642
Ref: object_track2128954
Ref: object_xlength2129945
Ref: object_ylength2130153
Ref: object_zlength2130361
Ref: object_wireframe2130569
Node: engineering-format-pkg2130785
Node: Functions and Variables for engineering-format2131152
Ref: engineering_format_floats2131393
Ref: engineering_format_min2131967
Ref: engineering_format_max2132750
Node: ezunits-pkg2133006
Node: Introduction to ezunits2133244
Node: Introduction to physical_constants2136971
Ref: physical_constants2137210
Node: Functions and Variables for ezunits2141910
Ref: constvalue2153011
Ref: declare_constvalue2153903
Ref: remove_constvalue2154507
Ref: units2154666
Ref: declare_units2156020
Ref: qty2156776
Ref: declare_qty2157751
Ref: unitp2158440
Ref: declare_unit_conversion2159659
Ref: declare_dimensions2161514
Ref: remove_dimensions2162498
Ref: declare_fundamental_dimensions2162671
Ref: declare_fundamental_units2164061
Ref: dimensions2165768
Ref: fundamental_units2167555
Ref: dimensionless2168931
Ref: natural_unit2170035
Node: f90-pkg2170280
Node: Package f902170408
Ref: f90_output_line_length_max2170514
Ref: function_f902172147
Node: finance-pkg2174235
Node: Introduction to finance2174424
Node: Functions and Variables for finance2175029
Ref: days3602175227
Ref: fv2175532
Ref: pv2175887
Ref: graph_flow2176245
Ref: annuity_pv2176630
Ref: annuity_fv2177041
Ref: geo_annuity_pv2177450
Ref: geo_annuity_fv2177917
Ref: amortization2178381
Ref: arit_amortization2179766
Ref: geo_amortization2181466
Ref: saving2183122
Ref: npv2184522
Ref: irr2184841
Ref: benefit_cost2185243
Node: fractals-pkg2185871
Node: Introduction to fractals2186164
Node: Definitions for IFS fractals2186782
Ref: sierpinskiale2187498
Ref: treefale2187870
Ref: fernfale2188159
Node: Definitions for complex fractals2188504
Ref: mandelbrot_set2188730
Ref: julia_set2189224
Ref: julia_parameter2189740
Ref: julia_sin2190042
Node: Definitions for Koch snowflakes2190851
Ref: snowmap2191073
Node: Definitions for Peano maps2191835
Ref: hilbertmap2192115
Ref: sierpinskimap2192362
Node: gentran-pkg2192617
Node: Introduction to Gentran2192876
Node: Functions for Gentran2193406
Node: Gentran Mode Switches2200899
Node: Gentran Option Variables2202907
Node: Gentran Evaluation Forms2210317
Node: ggf-pkg2213433
Node: Functions and Variables for ggf2213580
Ref: ggf2214878
Node: graphs-pkg2216950
Node: Introduction to graphs2217133
Node: Functions and Variables for graphs2218248
Ref: create_graph2218488
Ref: copy_graph2220552
Ref: circulant_graph2220622
Ref: clebsch_graph2221203
Ref: complement_graph2221267
Ref: complete_bipartite_graph2221351
Ref: complete_graph2221463
Ref: cycle_digraph2221548
Ref: cycle_graph2221632
Ref: cuboctahedron_graph2221705
Ref: cube_graph2221784
Ref: dodecahedron_graph2221855
Ref: empty_graph2221929
Ref: flower_snark2222008
Ref: from_adjacency_matrix2222257
Ref: frucht_graph2222364
Ref: graph_product2222426
Ref: graph_union2222675
Ref: grid_graph2222769
Ref: great_rhombicosidodecahedron_graph2222837
Ref: great_rhombicuboctahedron_graph2222943
Ref: grotzch_graph2223043
Ref: heawood_graph2223107
Ref: icosahedron_graph2223171
Ref: icosidodecahedron_graph2223243
Ref: induced_subgraph2223327
Ref: line_graph2223826
Ref: make_graph2223904
Ref: mycielski_graph2225132
Ref: new_graph2225222
Ref: path_digraph2225304
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Ref: poly_subtract2274865
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Ref: poly_colon_ideal2281656
Ref: poly_ideal_intersection2281884
Ref: poly_lcm2282047
Ref: poly_gcd2282165
Ref: poly_grobner_equal2282807
Ref: poly_grobner_subsetp2283496
Ref: poly_grobner_member2283789
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Ref: poly_ideal_saturation2284622
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Ref: cspline2303932
Ref: ratinterpol2308566
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Ref: Lindstedt2351432
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Node: Introduction to linearalgebra2352997
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Ref: columnswap2358610
Ref: columnspace2358768
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Ref: diag_matrix2359588
Ref: dotproduct2360563
Ref: eigens_by_jacobi2360775
Ref: get_lu_factors2363911
Ref: hankel2364216
Ref: hessian2364505
Ref: hilbert_matrix2365634
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Ref: invert_by_lu2366352
Ref: jacobian2366521
Ref: kronecker_product2367479
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Ref: polytocompanion2382564
Ref: ptringularize2382858
Ref: rowp2383300
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Node: Functions and Variables for lsquares2386560
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Ref: lsquares_estimates_exact2393288
Ref: lsquares_estimates_approximate2395605
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Ref: makeOrders_func2417397
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Ref: newtonmaxiter2419272
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Ref: mnewton2419684
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Node: Introduction to ODEPACK2438627
Ref: Introduction to ODEPACK-Footnote-12439822
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Node: Introduction to operatingsystem2447776
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Ref: opsubst_func2449930
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Node: Introduction to orthogonal polynomials2452465
Ref: Floating point Evaluation2463235
Node: Functions and Variables for orthogonal polynomials2470472
Ref: assoc_legendre_p2470732
Ref: assoc_legendre_q2472462
Ref: chebyshev_t2473970
Ref: chebyshev_u2475289
Ref: gen_laguerre2476726
Ref: hermite2478444
Ref: intervalp2479961
Ref: jacobi_p2480078
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Ref: orthopoly_weight2486850
Ref: pochhammer2487595
Ref: spherical_bessel_j2489583
Ref: spherical_bessel_y2491330
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Ref: spherical_hankel22493415
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Ref: toffoli2521574
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Ref: ratp_lopow2523516
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