This is maxima.info, produced by makeinfo version 7.3 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: 1014268
maxima.info-3: 2104021
maxima.info-4: 3024500

Tag Table:
(Indirect)
Node: Top264
Node: Introduction to Maxima18608
Node: Command-line options25573
Ref: command_line_options25739
Node: Runtime Environment28674
Node: Introduction for Runtime Environment28961
Node: Interrupts31949
Node: Functions and Variables for Runtime Environment33078
Ref: maxima_tempdir33305
Ref: maxima_userdir33776
Ref: room34505
Ref: sstatus34928
Ref: status35412
Ref: system36467
Ref: time39702
Ref: timedate40214
Ref: parse_timedate42183
Ref: encode_time45907
Ref: decode_time48437
Ref: absolute_real_time50185
Ref: elapsed_real_time50625
Ref: elapsed_run_time51134
Node: Bug Detection and Reporting51696
Node: Functions and Variables for Bug Detection and Reporting51935
Ref: bug_report52175
Ref: build_info52616
Ref: run_testsuite55034
Ref: testsuite_files57517
Node: Help58369
Node: Documentation58550
Node: Functions and Variables for Help59811
Ref: apropos59981
Ref: demo61764
Ref: describe63003
Ref: output_format_for_help66125
Ref: browser66930
Ref: url_base67893
Ref: example68822
Ref: manual_demo70259
Node: Command Line70471
Node: Introduction to Command Line70729
Node: Functions and Variables for Command Line71129
Ref: __71390
Ref: _73204
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Ref: %%75357
Ref: %th77009
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Ref: playback90910
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Ref: read94105
Ref: readonly94675
Ref: reset95363
Ref: showtime95844
Ref: to_lisp96220
Ref: eval_string_lisp97330
Ref: values98208
Node: Functions and Variables for Display99322
Ref: %edispflag99536
Ref: absboxchar100166
Ref: declare_index_properties100624
Ref: get_index_properties104232
Ref: remove_index_properties104411
Ref: display_index_separator104705
Ref: disp109970
Ref: display110664
Ref: display2d111550
Ref: display_format_internal113327
Ref: with_default_2d_display114039
Ref: display2d_unicode114490
Ref: dispterms115317
Ref: expt116307
Ref: ncexpt116307
Ref: exptdispflag116634
Ref: grind117340
Ref: ibase122098
Ref: ldisp124150
Ref: ldisplay125269
Ref: leftjust126622
Ref: linel127142
Ref: lispdisp127591
Ref: negsumdispflag128124
Ref: obase128541
Ref: pfeformat129728
Ref: powerdisp130570
Ref: print131379
Ref: sqrtdispflag132729
Ref: stardisp132894
Ref: ttyoff133074
Node: Data Types and Structures133446
Node: Numbers133693
Node: Introduction to Numbers133915
Node: Functions and Variables for Numbers134679
Ref: bfloat134875
Ref: bfloatp137048
Ref: bftorat137160
Ref: bftrunc138305
Ref: bigfloat_bits138616
Ref: bigfloat_eps139108
Ref: decode_float139636
Ref: evenp141185
Ref: float141410
Ref: float2bf141682
Ref: float_bits141908
Ref: float_eps142010
Ref: float_precision142143
Ref: float_sign142594
Ref: float_infinity_p143620
Ref: float_nan_p144597
Ref: floatnump145378
Ref: fpprec145503
Ref: fpprintprec145788
Ref: integerp146866
Ref: integer_decode_float147816
Ref: is_power_of_two150336
Ref: m1pbranch151876
Ref: nonnegintegerp152485
Ref: numberp152598
Ref: numer153817
Ref: numer_pbranch154542
Ref: numerval155692
Ref: oddp156176
Ref: ratepsilon156397
Ref: rationalize156685
Ref: ratnump158162
Ref: scale_float158308
Ref: unit_in_last_place159719
Node: Strings161750
Node: Introduction to Strings161956
Node: Functions and Variables for Strings164081
Ref: concat164277
Ref: sconcat165764
Ref: string166421
Ref: stringdisp166730
Node: Constants167516
Node: Functions and Variables for Constants167698
Ref: %catalan167888
Ref: %e168571
Ref: %i168940
Ref: false169015
Ref: %gamma169172
Ref: ind169767
Ref: inf169974
Ref: infinity170044
Ref: least_negative_float170118
Ref: least_negative_normalized_float170485
Ref: least_positive_float170715
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Ref: minf171310
Ref: most_negative_float171396
Ref: most_positive_float171528
Ref: %phi171660
Ref: %pi174147
Ref: true174357
Ref: und174509
Ref: zeroa174709
Ref: zerob175188
Node: Lists175430
Node: Introduction to Lists175666
Node: Functions and Variables for Lists176535
Ref: [176766
Ref: ]176766
Ref: accumulate178312
Ref: append180008
Ref: assoc180391
Ref: cons182016
Ref: copylist183503
Ref: create_list183577
Ref: delete184821
Ref: eighth187239
Ref: endcons187367
Ref: fifth188783
Ref: first188910
Ref: firstn190524
Ref: fourth193837
Ref: join193965
Ref: last194732
Ref: lastn194862
Ref: length198184
Ref: listarith199064
Ref: lreduce199516
Ref: makelist200893
Ref: member202839
Ref: ninth204237
Ref: pop204364
Ref: push204670
Ref: rest205970
Ref: reverse207140
Ref: rreduce207391
Ref: second208879
Ref: seventh209007
Ref: sixth209136
Ref: sort209263
Ref: sublist215343
Ref: sublist_indices215673
Ref: tenth216771
Ref: third216899
Ref: tree_reduce217026
Ref: unique218388
Ref: xreduce218775
Node: Performance considerations for Lists220524
Node: Arrays222791
Ref: hashed array222956
Ref: hashed arrays222956
Ref: undeclared array222956
Ref: undeclared arrays222956
Node: Functions and Variables for Arrays224168
Ref: array224343
Ref: arrayapply225189
Ref: arrayinfo225460
Ref: arraymake230001
Ref: arrays231806
Ref: arraysetapply232999
Ref: has_key233225
Ref: fillarray235458
Ref: listarray237637
Ref: make_array241445
Ref: rearray243627
Ref: remarray244009
Ref: subvar244601
Ref: subvarp245341
Ref: use_fast_arrays245464
Ref: translate_fast_arrays246172
Node: Structures246648
Node: Introduction to Structures246850
Node: Functions and Variables for Structures248521
Ref: structures248732
Ref: defstruct248860
Ref: new250441
Node: Expressions252865
Node: Introduction to Expressions253134
Node: Nouns and Verbs254729
Node: Identifiers257162
Node: Inequality259458
Node: Functions and Variables for Expressions259777
Ref: alias259972
Ref: aliases260201
Ref: allbut260476
Ref: args261518
Ref: atom262692
Ref: display_box_double_lines262970
Ref: box263425
Ref: boxchar265642
Ref: collapse266063
Ref: copy266626
Ref: disolate267450
Ref: dispform267962
Ref: dpart269898
Ref: exptisolate270509
Ref: exptsubst270729
Ref: freeof271446
Ref: inflag275342
Ref: inpart276192
Ref: isolate277476
Ref: isolate_wrt_times278391
Ref: listconstvars279181
Ref: listdummyvars279714
Ref: listofvars280441
Ref: lfreeof281031
Ref: lpart281509
Ref: mainvar281731
Ref: noun282497
Ref: noundisp283121
Ref: nounify283337
Ref: nterms283749
Ref: op284117
Ref: operatorp285907
Ref: option_opsubst286350
Ref: optimize287232
Ref: optimprefix287613
Ref: ordergreat287776
Ref: orderless287776
Ref: ordergreatp288618
Ref: orderlessp288618
Ref: part292459
Ref: partition293986
Ref: partswitch294573
Ref: pickapart294803
Ref: piece297804
Ref: psubst298019
Ref: rembox298899
Ref: reveal302032
Ref: sqrtdenest304612
Ref: sublis305486
Ref: sublis_apply_lambda305963
Ref: subnumsimp306253
Ref: subst306786
Ref: substinpart310287
Ref: substpart312751
Ref: symbolp313949
Ref: unorder314083
Ref: verbify315528
Node: Operators315919
Node: Introduction to operators316224
Node: Arithmetic operators320468
Ref: +320648
Ref: -320648
Ref: *320648
Ref: /320648
Ref: ^320648
Ref: **327767
Ref: ^^328568
Ref: .329338
Node: Relational operators329816
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Ref: <=329988
Ref: >=329988
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Node: Logical operators332707
Ref: and332876
Ref: not333949
Ref: or334541
Node: Operators for Equations335603
Ref: #335784
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Node: Assignment operators340823
Ref: :341003
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Ref: ::=344582
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Node: User defined operators353468
Ref: infix353620
Ref: matchfix357883
Ref: function_nary362600
Ref: nofix363215
Ref: postfix363784
Ref: prefix364275
Node: Evaluation364679
Node: Functions and Variables for Evaluation364852
Ref: quote365045
Ref: quote-quote369719
Ref: ev375228
Ref: eval384270
Ref: evflag384830
Ref: evfun387401
Ref: infeval390330
Ref: noeval390715
Ref: nouns390943
Ref: pred391261
Node: Simplification391638
Node: Introduction to Simplification391869
Node: Functions and Variables for Simplification402228
Ref: additive402457
Ref: antisymmetric403416
Ref: combine404473
Ref: commutative405061
Ref: demoivre405820
Ref: function_distrib406547
Ref: distribute_over407456
Ref: domain409737
Ref: evenfun409932
Ref: oddfun409932
Ref: expand410618
Ref: expandwrt414953
Ref: expandwert_denom415533
Ref: expandwrt_factored415955
Ref: expon416315
Ref: exponentialize416608
Ref: expop417210
Ref: lassociative417672
Ref: linear417930
Ref: maxnegex419662
Ref: maxposex419856
Ref: multiplicative420043
Ref: multthru421984
Ref: property_nary424335
Ref: negdistrib425070
Ref: opproperties425892
Ref: define_opproperty426359
Ref: outative427959
Ref: radcan429279
Ref: radexpand430522
Ref: rassociative431456
Ref: resimplify431706
Ref: scsimp432691
Ref: simp433116
Ref: symmetric434825
Ref: xthru435079
Node: Elementary Functions436313
Node: Functions for Numbers436663
Ref: abs436834
Ref: ceiling440258
Ref: entier444023
Ref: floor444239
Ref: fix446179
Ref: hstep446244
Ref: lmax446541
Ref: lmin446739
Ref: max446937
Ref: min448758
Ref: round450572
Ref: signum450915
Ref: truncate451706
Node: Functions for Complex Numbers452036
Ref: cabs452255
Ref: carg456219
Ref: conjugate458154
Ref: imagpart458676
Ref: polarform459287
Ref: realpart459974
Ref: rectform460558
Node: Combinatorial Functions461017
Ref: !!461245
Ref: binomial461992
Ref: factcomb462997
Ref: !463935
Ref: factorial463935
Ref: factlim467592
Ref: factorial_expand467784
Ref: genfact468036
Ref: minfactorial468279
Ref: sumsplitfact468826
Node: Root Exponential and Logarithmic Functions469842
Ref: %e_to_numlog470104
Ref: %emode470545
Ref: %enumer472199
Ref: exp473287
Ref: li474312
Ref: log476554
Ref: logabs478099
Ref: logarc478851
Ref: logconcoeffp479092
Ref: logcontract479529
Ref: logexpand480566
Ref: lognegint483818
Ref: logsimp483990
Ref: plog484155
Ref: sqrt484302
Node: Trigonometric Functions484466
Node: Introduction to Trigonometric484769
Node: Functions and Variables for Trigonometric485899
Node: Trigonometric and Hyperbolic Functions486300
Ref: acos486606
Ref: acosh486807
Ref: acot487020
Ref: acoth487224
Ref: acsc487440
Ref: acsch487643
Ref: asec487858
Ref: asech488059
Ref: asin488272
Ref: asinh488471
Ref: atan488682
Ref: atan2488912
Ref: atanh489357
Ref: cos489571
Ref: cosh489767
Ref: cot489975
Ref: coth490174
Ref: csc490385
Ref: csch490583
Ref: sec490793
Ref: sech490989
Ref: sin491197
Ref: sinh491391
Ref: tan491597
Ref: tanh491794
Node: Options Controlling Simplification492003
Ref: %piargs492301
Ref: %iargs494287
Ref: halfangles495331
Ref: trigsign497229
Node: Explicit Simplifications Using Identities497503
Ref: trigexpand497797
Ref: trigexpandplus499259
Ref: trigexpandtimes499615
Ref: triginverses499981
Ref: trigreduce500508
Ref: trigsimp501138
Ref: trigrat501551
Node: Additional Functions504425
Ref: atrig1504634
Ref: ntrig505031
Node: Random Numbers505341
Ref: make_random_state505485
Ref: set_random_state506260
Ref: random506409
Node: Maxima's Database508074
Node: Introduction to Maxima's Database508392
Node: Functions and Variables for Properties508631
Ref: alphabetic508896
Ref: bindtest509552
Ref: constant510122
Ref: constantp510700
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Ref: nonarray523022
Ref: nonscalar523609
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Node: Functions and Variables for Facts530068
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Ref: equal551303
Ref: notequal555622
Ref: unknown556561
Ref: zeroequiv556719
Node: Plotting557931
Node: Introduction to Plotting558237
Node: Plotting Formats561526
Node: Functions and Variables for Plotting565422
Ref: geomview_command565638
Ref: get_plot_option566218
Ref: gnuplot_command566643
Ref: gnuplot_file_args567240
Ref: gnuplot_view_args567858
Ref: julia569316
Ref: make_transform571215
Ref: mandelbrot571976
Ref: polar_to_xy573581
Ref: plot2d573900
Ref: plot3d583526
Ref: plot_options588750
Ref: remove_plot_option589101
Ref: reset_plot_options589326
Ref: set_plot_option589574
Ref: spherical_to_xyz590834
Ref: xmaxima_plot_command591295
Node: Plotting Options591869
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Ref: axes594049
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Ref: option_box595238
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Ref: gnuplot_curve_titles631931
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Node: Gnuplot_pipes Format Functions632177
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Node: File Input and Output633473
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Node: Functions and Variables for TeX Output663186
Ref: tex663627
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Ref: texput666329
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Ref: get_tex_enviroment_default672782
Node: Functions and Variables for Fortran Output673983
Ref: fortindent674227
Ref: fortran674553
Ref: fortspaces676994
Node: Polynomials677176
Node: Introduction to Polynomials677494
Node: Functions and Variables for Polynomials680658
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Ref: berlefact681104
Ref: bezout681342
Ref: bothcoef682001
Ref: content686478
Ref: denom686953
Ref: divide687687
Ref: eliminate688321
Ref: ezgcd689652
Ref: factor691158
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Ref: factor_max_degree_print_warning699121
Ref: factorflag699461
Ref: factorout699644
Ref: factorsum700353
Ref: fasttimes701217
Ref: fullratsimp701682
Ref: fullratsubst703343
Ref: fullratsubstflag705670
Ref: gcd705815
Ref: gcdex708160
Ref: gcfactor710002
Ref: gfactor710286
Ref: gfactorsum710637
Ref: hipow710764
Ref: intfaclim711688
Ref: keepfloat712400
Ref: lowpow713330
Ref: lratsubst713550
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Ref: modulus715513
Ref: num717424
Ref: polydecomp718200
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Ref: quotient722826
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Ref: radsubstflag738979
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Ref: resultant745552
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Ref: savefactors747659
Ref: showratvars747977
Ref: sqfr748150
Ref: totaldisrep751257
Ref: untelltat751688
Node: Introduction to algebraic extensions751796
Node: Functions and Variables for algebraic extensions755292
Ref: algfac755542
Ref: algnorm756201
Ref: algtrace756738
Ref: bdiscr757111
Ref: primelmt757788
Ref: splitfield760166
Node: Special Functions762135
Node: Introduction to Special Functions762582
Node: Bessel Functions764775
Ref: bessel_j764955
Ref: bessel_y765804
Ref: bessel_i766555
Ref: bessel_k767419
Ref: hankel_1768180
Ref: hankel_2770009
Ref: besselexpand770825
Ref: scaled_bessel_i772835
Ref: scaled_bessel_i0773331
Ref: scaled_bessel_i1773416
Ref: %s773501
Node: Airy Functions774586
Ref: airy_ai775575
Ref: airy_dai775824
Ref: airy_bi775968
Ref: airy_dbi776196
Node: Gamma and Factorial Functions776359
Ref: bffac776752
Ref: bfpsi777231
Ref: bfpsi0777231
Ref: cbffac778229
Ref: gamma778543
Ref: log_gamma781908
Ref: gamma_incomplete782877
Ref: gamma_incomplete_regularized783679
Ref: gamma_incomplete_generalized784284
Ref: gamma_expand784969
Ref: gammalim786708
Ref: makegamma787124
Ref: beta787776
Ref: beta_incomplete792151
Ref: beta_incomplete_regularized797927
Ref: beta_incomplete_generalized801777
Ref: beta_expand807044
Ref: beta_args_sum_to_integer807291
Ref: polygamma807544
Ref: maxpsiposint809401
Ref: maxpsinegint810181
Ref: maxpsifracnum811507
Ref: maxpsifracdenom812492
Ref: makefact813489
Node: Exponential Integrals814672
Ref: expintegral_e1815055
Ref: expintegral_ei815426
Ref: expintegral_li815834
Ref: expintegral_e816202
Ref: expintegral_si816593
Ref: expintegral_ci816932
Ref: expintegral_shi817326
Ref: expintegral_chi817670
Ref: expintrep818067
Ref: expintrep-gamma-incomplete818434
Ref: expintrep-expintegral-e1818520
Ref: expintrep-expintegral-ei818602
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Ref: expintrep-expintegral-trig818766
Ref: expintrep-expintegral-hyp818875
Ref: expintexpand827768
Node: Error Function828812
Ref: erf829200
Ref: erfc829605
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Ref: erf_generalized830036
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Ref: fresnel_s830844
Ref: erf_representation831386
Ref: hypergeometric_representation835489
Node: Struve Functions838274
Ref: struve_h838908
Ref: struve_l839431
Node: Hypergeometric Functions839909
Ref: %m840460
Ref: expand_hypergeometric840958
Ref: %w841164
Ref: %f841458
Ref: hypergeometric841639
Ref: hypergeometric_simp843504
Ref: hgfred844920
Node: Parabolic Cylinder Functions846915
Ref: parabolic_cylinder_d847441
Node: Functions and Variables for Special Functions848022
Ref: lambert_w848263
Ref: generalized_lambert_w848433
Ref: kbateman848850
Node: Elliptic Functions851673
Node: Introduction to Elliptic Functions and Integrals851982
Node: Functions and Variables for Elliptic Functions856297
Ref: jacobi_sn856757
Ref: jacobi_cn856838
Ref: jacobi_dn856919
Ref: jacobi_ns857000
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Ref: jacobi_sd857192
Ref: jacobi_nc857291
Ref: jacobi_cs857384
Ref: jacobi_cd857483
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Node: Functions and Variables for Elliptic Integrals865532
Ref: elliptic_f865793
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Ref: elliptic_pi866624
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Ref: carlson_rc867394
Ref: carlson_rd868285
Ref: carlson_rf868919
Ref: carlson_rj869525
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Node: Functions and Variables for Limits870885
Ref: lhospitallim871058
Ref: limit871304
Ref: limsubst873453
Ref: tlimit873740
Ref: tlimswitch873992
Ref: gruntz874489
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Node: Functions and Variables for Differentiation876083
Ref: antid876301
Ref: antidiff878755
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Ref: atomgrad884169
Ref: atvalue884313
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Ref: delta887722
Ref: dependencies888186
Ref: depends889911
Ref: derivabbrev892426
Ref: derivdegree892699
Ref: derivlist893315
Ref: derivsubst893474
Ref: diff893698
Ref: symbol_diff897272
Ref: express897438
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Ref: gradefs902275
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Node: Introduction to Integration902854
Node: Functions and Variables for Integration903870
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Ref: dblint906457
Ref: defint908998
Ref: erfflag909577
Ref: ilt909815
Ref: intanalysis912165
Ref: integrate913386
Ref: integration_constant922351
Ref: integration_constant_counter923231
Ref: integrate_use_rootsof924593
Ref: laplace926850
Ref: ldefint931089
Ref: pwilt931838
Ref: potential932772
Ref: prefer_d933332
Ref: residue934352
Ref: risch935033
Ref: specint936076
Ref: tldefint940356
Node: Introduction to QUADPACK940479
Ref: Introduction to QUADPACK-Footnote-1944258
Ref: Introduction to QUADPACK-Footnote-2944324
Ref: Introduction to QUADPACK-Footnote-3944390
Ref: Introduction to QUADPACK-Footnote-4944434
Ref: Introduction to QUADPACK-Footnote-5944496
Ref: Introduction to QUADPACK-Footnote-6944536
Ref: Introduction to QUADPACK-Footnote-7944578
Node: Functions and Variables for QUADPACK944763
Ref: quad_qag944965
Ref: quad_qags947764
Ref: quad_qagi950001
Ref: quad_qawc952536
Ref: quad_qawf955961
Ref: quad_qawo958674
Ref: quad_qaws961713
Ref: quad_qagp964508
Ref: quad_control967386
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Node: Functions and Variables for Equations968232
Ref: %rnum968420
Ref: %rnum_list968694
Ref: algepsilon969774
Ref: algexact969882
Ref: algsys970519
Ref: allroots975423
Ref: bfallroots977837
Ref: backsubst978256
Ref: breakup978990
Ref: dimension982516
Ref: dispflag982776
Ref: funcsolve983103
Ref: globalsolve984065
Ref: ieqn985739
Ref: ieqnprint989861
Ref: lhs990573
Ref: linsolve992228
Ref: linsolvewarn995441
Ref: linsolve_params995623
Ref: multiplicities996020
Ref: nroots996240
Ref: nthroot996658
Ref: polyfactor997017
Ref: programmode997373
Ref: realonly997881
Ref: realroots998060
Ref: rhs1000302
Ref: rootsconmode1001951
Ref: rootscontract1002141
Ref: rootsepsilon1004899
Ref: solve1005103
Ref: solvedecomposes1012445
Ref: solveexplicit1012633
Ref: solvefactors1012891
Ref: solvenullwarn1013152
Ref: solveradcan1013473
Ref: solvetrigwarn1013740
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Ref: beyer1039270
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Node: Introduction to Differential Equations1040056
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Ref: ic21044155
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Ref: %c1048984
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Ref: %k21049251
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Node: Introduction to fast Fourier transform1050005
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Ref: polartorect1050853
Ref: recttopolar1051460
Ref: inverse_fft1052147
Ref: fft1054693
Ref: real_fft1059212
Ref: inverse_real_fft1059993
Ref: bf_inverse_fft1060366
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Ref: bf_inverse_real_fft1060992
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Ref: fftpack5_inverse_fft1064195
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Ref: fftpack5_inverse_real_fft1065225
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Ref: find_root1067177
Ref: bf_find_root1067177
Ref: find_root_error1067177
Ref: find_root_abs1067177
Ref: find_root_rel1067177
Ref: newton1071407
Node: Introduction to numerical solution of differential equations1072746
Node: Functions for numerical solution of differential equations1074066
Ref: plotdf1074368
Ref: rk1084927
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Node: Introduction to Matrices and Linear Algebra1088778
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Node: Functions and Variables for Matrices and Linear Algebra1094181
Ref: addcol1094475
Ref: addrow1094675
Ref: adjoint1094872
Ref: augcoefmatrix1095023
Ref: cauchy_matrix1095687
Ref: charpoly1097097
Ref: coefmatrix1098730
Ref: col1099157
Ref: columnvector1101572
Ref: covect1101572
Ref: copymatrix1102391
Ref: determinant1102861
Ref: display_determinant_bars1103300
Ref: detout1103811
Ref: diagmatrix1104813
Ref: doallmxops1105314
Ref: domxexpt1105601
Ref: domxmxops1106922
Ref: domxnctimes1107200
Ref: dontfactor1107369
Ref: doscmxops1107812
Ref: doscmxplus1107965
Ref: dot0nscsimp1108186
Ref: dot0simp1108395
Ref: dot1simp1108595
Ref: dotassoc1108793
Ref: dotconstrules1108958
Ref: dotdistrib1109288
Ref: dotexptsimp1109462
Ref: dotident1109626
Ref: dotscrules1109737
Ref: echelon1109963
Ref: eigenvalues1111435
Ref: eivals1111435
Ref: eigenvectors1113206
Ref: eivects1113206
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Ref: entermatrix1118371
Ref: genmatrix1119753
Ref: gramschmidt1122548
Ref: ident1125088
Ref: innerproduct1125160
Ref: inprod1125160
Ref: invert_by_adjoint1125643
Ref: invert1125889
Ref: list_matrix_entries1127055
Ref: lmxchar1127283
Ref: display_matrix_brackets1127925
Ref: display_matrix_padding_horizontal1128283
Ref: display_matrix_padding_vertical1130151
Ref: matrix1131565
Ref: matrixexp1137911
Ref: matrixmap1138342
Ref: matrixp1138530
Ref: matrix_element_add1138633
Ref: matrix_element_mult1139964
Ref: matrix_element_transpose1141959
Ref: mattrace1144186
Ref: minor1144477
Ref: ncharpoly1144622
Ref: newdet1145448
Ref: permanent1145623
Ref: rank1145897
Ref: ratmx1146174
Ref: row1146789
Ref: rmxchar1148432
Ref: scalarmatrixp1148684
Ref: scalefactors1149169
Ref: setelmx1150256
Ref: similaritytransform1150493
Ref: simtran1150493
Ref: sparse1151775
Ref: submatrix1152003
Ref: transpose1152317
Ref: triangularize1152723
Ref: uniteigenvectors1153789
Ref: ueivects1153789
Ref: unitvector1155128
Ref: uvect1155128
Ref: vectorpotential1155373
Ref: vectorsimp1155705
Ref: vect_cross1157192
Ref: zeromatrix1157422
Node: Sums Products and Series1157527
Node: Functions and Variables for Sums and Products1157965
Ref: bashindices1158238
Ref: lsum1158683
Ref: intosum1159396
Ref: simpproduct1159919
Ref: product1160345
Ref: simpsum1162913
Ref: sum1163316
Ref: sumcontract1168258
Ref: sumexpand1168859
Node: Introduction to Series1169824
Node: Functions and Variables for Series1170411
Ref: cauchysum1170657
Ref: deftaylor1171962
Ref: maxtayorder1173316
Ref: niceindices1173571
Ref: niceindicespref1175042
Ref: nusum1176100
Ref: pade1178259
Ref: powerseries1181324
Ref: psexpand1183673
Ref: revert1184158
Ref: taylor1186043
Ref: taylordepth1194043
Ref: taylorinfo1194308
Ref: taylorp1195230
Ref: taylor_logexpand1195344
Ref: taylor_order_coefficients1195977
Ref: taylor_simplifier1196275
Ref: taylor_truncate_polynomials1196415
Ref: taytorat1196726
Ref: trunc1196930
Ref: unsum1197503
Ref: verbose1198709
Node: Introduction to Fourier series1198855
Node: Functions and Variables for Fourier series1199351
Ref: equalp1199641
Ref: remfun1199831
Ref: funp1200178
Ref: absint1200536
Ref: fourier1201198
Ref: foursimp1201348
Ref: sinnpiflag1201530
Ref: cosnpiflag1201620
Ref: fourexpand1201710
Ref: fourcos1201965
Ref: foursin1202101
Ref: totalfourier1202235
Ref: fourint1202369
Ref: fourintcos1202529
Ref: forintsin1202664
Node: Functions and Variables for Poisson series1202797
Ref: intopois1203048
Ref: outopois1203121
Ref: poisdiff1203488
Ref: poisexpt1203646
Ref: poisint1203777
Ref: poislim1203962
Ref: poismap1204262
Ref: poisplus1204580
Ref: poissimp1204674
Ref: poisson1204785
Ref: poissubst1204900
Ref: poistimes1205823
Ref: poistrim1205920
Ref: printpois1206307
Node: Number Theory1206498
Node: Functions and Variables for Number Theory1206690
Ref: bern1206898
Ref: bernpoly1207649
Ref: bfzeta1207751
Ref: bfhzeta1207948
Ref: burn1208562
Ref: solve_congruences1209507
Ref: cf1210483
Ref: cfdisrep1213489
Ref: cfexpand1214182
Ref: cflength1214850
Ref: divsum1215477
Ref: euler1216049
Ref: factors_only1216575
Ref: fib1216987
Ref: fibtophi1217324
Ref: ifactors1218528
Ref: igcdex1219774
Ref: inrt1220480
Ref: inv_mod1220770
Ref: isqrt1221178
Ref: jacobi1221301
Ref: lcm1221558
Ref: lucas1221778
Ref: mod1222194
Ref: next_prime1223485
Ref: partfrac1223644
Ref: power_mod1224973
Ref: primep1225526
Ref: primep_number_of_tests1226340
Ref: primes1226467
Ref: prev_time1226645
Ref: qunit1226805
Ref: totient1227229
Ref: zeta1227617
Ref: zeta%pi1229048
Ref: zn_add_table1229687
Ref: zn_characteristic_factors1229840
Ref: zn_carmichael_lambda1233280
Ref: zn_determinant1233509
Ref: zn_factor_generators1234570
Ref: zn_invert_by_lu1234804
Ref: zn_log1235792
Ref: zn_mult_table1238978
Ref: zn_nth_root1244050
Ref: zn_order1248805
Ref: zn_power_table1251059
Ref: zn_primroot1256080
Ref: zn_primroot_limit1258600
Ref: zn_primroot_p1258935
Ref: zn_primroot_pretest1260757
Ref: zn_primroot_verbose1261293
Node: Groups1261471
Node: Functions and Variables for Groups1261639
Ref: todd_coxeter1261812
Node: Miscellaneous Options1263595
Node: Introduction to Miscellaneous Options1263865
Node: Share1264276
Node: Functions and Variables for Miscellaneous Options1264797
Ref: askexp1265029
Ref: genindex1265274
Ref: gensumnum1265448
Ref: gensym1265709
Ref: packagefile1266680
Ref: remvalue1267422
Ref: rncombine1267869
Ref: setup_autoload1268590
Ref: tcl_output1269997
Node: Rules and Patterns1271235
Node: Introduction to Rules and Patterns1271481
Node: Functions and Variables for Rules and Patterns1272580
Ref: apply11272829
Ref: apply21273503
Ref: applyb11274060
Ref: current_let_rule_package1274801
Ref: default_let_rule_package1275408
Ref: defmatch1275708
Ref: defrule1280372
Ref: disprule1281084
Ref: let1282509
Ref: letrat1286937
Ref: letrules1287789
Ref: letsimp1288361
Ref: let_rule_packages1290628
Ref: matchdeclare1290861
Ref: maxapplydepth1298904
Ref: maxapplyheight1299069
Ref: remlet1299238
Ref: remrule1300246
Ref: tellsimp1302318
Ref: tellsimpafter1304796
Ref: clear_rules1314061
Node: Sets1314246
Node: Introduction to Sets1314434
Node: Functions and Variables for Sets1321778
Ref: adjoin1321957
Ref: belln1322462
Ref: cardinality1323469
Ref: cartesian_product1324005
Ref: cartesian_product_list1324774
Ref: disjoin1328528
Ref: disjointp1329230
Ref: divisors1329623
Ref: elementp1331225
Ref: emptyp1331621
Ref: equiv_classes1331942
Ref: every1333331
Ref: extremal_subset1336314
Ref: flatten1337096
Ref: full_listify1339724
Ref: fullsetify1340266
Ref: identity1340875
Ref: integer_partitions1341155
Ref: intersect1343046
Ref: intersection1343159
Ref: listify1344976
Ref: makeset1345397
Ref: moebius1347007
Ref: multinomial_coeff1348233
Ref: num_distinct_partitions1349639
Ref: num_partitions1350516
Ref: partition_set1351451
Ref: permutations1352218
Ref: powerset1352793
Ref: random_permutation1353910
Ref: setdifference1354707
Ref: setequalp1355579
Ref: setify1356235
Ref: setp1356823
Ref: set_partitions1357385
Ref: some1359049
Ref: stirling11362127
Ref: stirling21363465
Ref: subset1364931
Ref: subsetp1365562
Ref: symmdifference1365963
Ref: union1367009
Node: Function Definition1367993
Node: Introduction to Function Definition1368259
Node: Function1368478
Ref: memoizing function1371944
Ref: memoizing functions1371944
Ref: Memoizing function1371944
Ref: Memoizing functions1371944
Node: Macros1374902
Ref: buildq1375062
Ref: macroexpand1379435
Ref: macroexpand11380687
Ref: macros1381851
Ref: splice1382204
Node: Functions and Variables for Function Definition1383902
Ref: apply1384127
Ref: block1387960
Ref: break1391294
Ref: catch1391547
Ref: compfile1392710
Ref: compile1393525
Ref: define1395102
Ref: define_variable1399325
Ref: dispfun1403517
Ref: fullmap1407346
Ref: fullmapl1408027
Ref: functions1408299
Ref: fundef1410168
Ref: funmake1411187
Ref: lambda1414417
Ref: local1420469
Ref: macroexpansion1421871
Ref: mode_declare1428049
Ref: modedeclare1428049
Ref: mode_checkp1431796
Ref: mode_check_errorp1432555
Ref: mode_check_warnp1432709
Ref: mode_identity1432855
Ref: remfunction1434383
Ref: savedef1435166
Ref: translate1435589
Ref: translate_file1438053
Ref: transrun1440650
Ref: tr_array_as_ref1440894
Ref: tr_bound_function_applyp1441362
Ref: tr_file_tty_messagesp1442458
Ref: tr_float_can_branch_complex1442842
Ref: tr_function_call_default1443413
Ref: tr_numer1444155
Ref: tr_optimize_max_loop1444340
Ref: tr_state_vars1444666
Ref: tr_warnings_get1445196
Ref: tr_warn_fexpr1445581
Ref: tr_warn_meval1445828
Ref: tr_warn_mode1446039
Ref: tr_warn_undeclared1446198
Ref: tr_warn_undefined_variable1446358
Ref: compile_file1446503
Ref: declare_translated1447850
Node: Program Flow1448476
Node: Lisp and Maxima1448738
Node: Garbage Collection1452998
Ref: garbage_collect1453536
Node: Introduction to Program Flow1453929
Node: Functions and Variables for Program Flow1454254
Ref: backtrace1454473
Ref: do1456131
Ref: while1456131
Ref: unless1456131
Ref: for1456131
Ref: from1456131
Ref: thru1456131
Ref: step1456131
Ref: next1456131
Ref: in1456131
Ref: errcatch1468015
Ref: error1468577
Ref: warning1469216
Ref: error_size1469528
Ref: error_syms1471096
Ref: errormsg_fn1471763
Ref: errormsg1471928
Ref: go1473153
Ref: if1473701
Ref: map1476459
Ref: mapatom1478319
Ref: maperror1478564
Ref: mapprint1479107
Ref: maplist1479524
Ref: prederror1479988
Ref: return1480508
Ref: scanmap1481746
Ref: throw1483493
Ref: outermap1483684
Node: Debugging1490528
Node: Source Level Debugging1490760
Node: Keyword Commands1494693
Node: Functions and Variables for Debugging1497147
Ref: debugmode1497342
Ref: refcheck1497905
Ref: setcheck1498110
Ref: setcheckbreak1499346
Ref: setval1499860
Ref: timer1500123
Ref: timer_reset1501358
Ref: untimer1501711
Ref: timer_devalue1502335
Ref: timer_info1502777
Ref: trace1503592
Ref: trace_options1504774
Ref: trace_break_arg1510367
Ref: untrace1510755
Node: Error and warning messages1511114
Node: Error Messages1511428
Node: No such list element1512043
Node: argument must be a non-atomic expression1512453
Node: cannot assign to function1513346
Node: 0 to a negative exponent1513723
Node: Comma is not a prefix operator1514037
Node: Illegal use of delimiter1514413
Node: loadfile failed to load1514809
Node: makelist second argument must evaluate to a number1515821
Node: Only symbols can be bound1516345
Node: Operators of arguments must all be the same1516755
Node: out of memory1517599
Node: part fell off the end1518788
Node: undefined variable during plotting1519087
Node: VTK is not installed1520235
Node: Warning Messages1520823
Node: undefined variable during translation1521042
Node: replaced x by y1521692
Node: Package affine1522227
Node: Introduction to Affine1522457
Node: Functions and Variables for Affine1522716
Ref: fast_linsolve1522913
Ref: grobner_basis1523597
Ref: set_up_dot_simplifications1524197
Ref: declare_weights1525119
Ref: nc_degree1525370
Ref: dotsimp1525542
Ref: fast_central_elements1525794
Ref: check_overlaps1526215
Ref: mono1526867
Ref: monomial_dimensions1527113
Ref: extract_linear_equations1527283
Ref: list_nc_monomials1527679
Ref: all_dotsimp_denoms1527977
Node: Package alt-display1528347
Node: Introduction to alt-display1528585
Node: Functions and Variables for alt-display1531402
Ref: alt_display_output_type1531624
Ref: define_alt_display1533386
Ref: info_display1535065
Ref: mathml_display1535386
Ref: tex_display1535748
Ref: multi_display_for_texinfo1536018
Ref: reset_displays1536939
Ref: set_alt_display1537100
Ref: set_prompt1537904
Ref: Functions and Variables for alt-display-Footnote-11540492
Node: Package asympa1540631
Node: Introduction to asympa1540850
Ref: asympa1541046
Node: Functions and variables for asympa1541374
Node: Package atensor1541571
Node: Introduction to atensor1541803
Node: Functions and Variables for atensor1545978
Ref: init_atensor1546180
Ref: atensimp1548836
Ref: alg_type1549260
Ref: adim1549437
Ref: aform1549650
Ref: asymbol1549841
Ref: sf1549927
Ref: af1550222
Ref: av1550523
Ref: abasep1551556
Node: Package augmented_lagrangian1551824
Node: Functions and Variables for augmented_lagrangian1552070
Ref: augmented_lagrangian_method1552329
Node: Package bernstein1556023
Node: Functions and Variables for Bernstein1556236
Ref: bernstein_poly1556440
Ref: bernstein_explicit1558342
Ref: multibernstein_poly1559003
Ref: bernstein_approx1559450
Ref: bernstein_expand1560718
Node: Package bitwise1561225
Node: Functions and Variables for bitwise1561722
Ref: bit_not1561916
Ref: bit_and1562461
Ref: bit_or1563322
Ref: bit_xor1564177
Ref: bit_lsh1565042
Ref: bit_rsh1565814
Ref: bit_length1566594
Ref: bit_onep1567121
Node: Package bode1568707
Node: Functions and Variables for bode1568886
Ref: bode_gain1569065
Ref: bode_phase1570479
Node: Package cartan1572141
Node: Introduction to cartan1572352
Node: Functions and Variables for cartan1573045
Ref: init_cartan1573242
Ref: cartan-~1573925
Ref: cartan-|1574594
Ref: ext_diff1574754
Ref: lie_diff1574892
Node: Package celine1576427
Node: Introduction to celine1576609
Node: Package clebsch_gordan1580446
Node: Functions and Variables for clebsch_gordan1580664
Ref: clebsch_gordan1580893
Ref: racah_v1581028
Ref: racah_w1581187
Ref: wigner_3j1581330
Ref: wigner_6j1581491
Ref: wigner_9j1581587
Node: Package cobyla1581708
Node: Introduction to cobyla1581953
Node: Functions and Variables for cobyla1584637
Ref: fmin_cobyla1584862
Ref: bf_fmin_cobyla1587655
Node: Examples for cobyla1588054
Node: Package colnew1589867
Node: Introduction to colnew1590137
Node: Functions and Variables for colnew1592580
Ref: colnew_expert1592805
Ref: colnew_appsln1601565
Node: Examples for colnew1602055
Node: References for colnew1631705
Ref: gawain-ball1631867
Ref: ascher-1979a1632165
Ref: ascher-1979b1632451
Ref: ascher-1981a1632792
Ref: ascher-1981b1633034
Ref: ascher-russell1633351
Ref: parker-wan1633601
Ref: bader-ascher1633913
Ref: ascher-et-al1634156
Ref: bellon-talon1634419
Node: Package combinatorics1634721
Node: Introduction to combinatorics1634974
Node: Functions and Variables for Combinatorics1636971
Ref: apply_cycles1637203
Ref: cyclep1637958
Ref: perm_cycles1638582
Ref: perm_decomp1638998
Ref: perm_inverse1639439
Ref: perm_length1639889
Ref: perm_lex_next1640360
Ref: perm_lex_rank1640699
Ref: perm_lex_unrank1641121
Ref: perm_next1641502
Ref: perm_parity1641865
Ref: perm_rank1642311
Ref: perm_undecomp1642719
Ref: perm_unrank1643075
Ref: permp1643442
Ref: perms1643888
Ref: perms_lex1645406
Ref: permult1647229
Ref: permute1647502
Ref: random_perm1648111
Node: Package contrib_ode1648380
Node: Introduction to contrib_ode1648729
Node: Functions and Variables for contrib_ode1654576
Ref: contrib_ode1654843
Ref: odelin1655002
Ref: ode_check1655784
Ref: gauss_a1656941
Ref: gauss_b1657643
Ref: dgauss_a1657713
Ref: dgauss_b1657847
Ref: kummer_m1657981
Ref: kummer_u1658447
Ref: dkummer_m1658674
Ref: dkummer_u1658795
Ref: bessel_simplify1658916
Ref: expintegral_e_simplify1660183
Node: Possible improvements to contrib_ode1660498
Node: Test cases for contrib_ode1661646
Node: References for contrib_ode1662430
Node: Package ctensor1663979
Node: Introduction to ctensor1664207
Node: Functions and Variables for ctensor1668778
Ref: csetup1669045
Ref: cmetric1669264
Ref: ct1670243
Ref: init1676546
Ref: christof1677954
Ref: ricci1678901
Ref: uricci1679187
Ref: scurvature1679748
Ref: einstein1679909
Ref: leinstein1680544
Ref: riemann1680964
Ref: lriemann1682271
Ref: uriemann1682766
Ref: rinvariant1682968
Ref: weyl1683219
Ref: ctaylor1684324
Ref: frame1689873
Ref: nptetrad1690483
Ref: psi1691196
Ref: petrov1692514
Ref: contortion1697947
Ref: nonmetricity1698065
Ref: ctransform1698252
Ref: findde1698653
Ref: cograd1701011
Ref: contragrad1701213
Ref: ctensor_dscalar1702351
Ref: checkdiv1703254
Ref: cgeodesic1703709
Ref: bdvac1704018
Ref: invariant11704422
Ref: invariant21704632
Ref: bimetric1704898
Ref: diagmatrixp1705150
Ref: symmetricp1705300
Ref: ntermst1705648
Ref: cdisplay1706018
Ref: deleten1719565
Ref: dim1719754
Ref: diagmetric1720020
Ref: ctrgsimp1720499
Ref: cframe_flag1720700
Ref: ctorsion_flag1721148
Ref: cnonmet_flag1721397
Ref: ctayswitch1721688
Ref: ctayvar1721971
Ref: ctaypov1722096
Ref: ctaypt1722227
Ref: gdet1722369
Ref: ratchristof1722527
Ref: rateinstein1722631
Ref: ratriemann1722889
Ref: ratweyl1723183
Ref: lfg1723460
Ref: ufg1723658
Ref: riem1723813
Ref: lriem1724122
Ref: uriem1724208
Ref: ric1724298
Ref: uric1724377
Ref: lg1724460
Ref: ug1724620
Ref: weyl_variable1724706
Ref: fb1724774
Ref: kinvariant1724862
Ref: np1724952
Ref: npi1725035
Ref: tr1725679
Ref: kt1725785
Ref: nm1725876
Ref: nmc1725964
Ref: tensorkill1726071
Ref: ct_coords1726238
Node: Package descriptive1729676
Node: Introduction to descriptive1730025
Node: Functions and Variables for data manipulation1735195
Ref: build_sample1735494
Ref: continuous_freq1737918
Ref: discrete_freq1741767
Ref: standardize1743119
Ref: subsample1743500
Ref: transform_sample1749640
Node: Functions and Variables for descriptive statistics1751228
Ref: mean1751556
Ref: var1754589
Ref: var11757682
Ref: std1758522
Ref: std11759911
Ref: noncentral_moment1760557
Ref: central_moment1763041
Ref: cv1765698
Ref: smin1766365
Ref: smax1767025
Ref: range1767688
Ref: quantile1768170
Ref: median1769211
Ref: qrange1769960
Ref: mean_deviation1770841
Ref: median_deviation1771805
Ref: harmonic_mean1772723
Ref: geometric_mean1773664
Ref: kurtosis1774599
Ref: skewness1775500
Ref: pearson_skewness1776385
Ref: quartile_skewness1777231
Ref: km1778159
Ref: cdf_empirical1779577
Ref: cov1780571
Ref: cov11783146
Ref: global_variances1784378
Ref: cor1786320
Ref: list_correlations1788612
Ref: principal_components1791885
Node: Functions and Variables for statistical graphs1796175
Ref: barsplot1796441
Ref: barsplot_description1800954
Ref: boxplot1801858
Ref: boxplot_description1805576
Ref: histogram1805763
Ref: histogram_description1811079
Ref: histogram_skyline1812118
Ref: piechart1813668
Ref: piechart_description1815339
Ref: scatterplot1815528
Ref: scatterplot_description1817403
Ref: starplot1817603
Ref: starplot_description1819992
Ref: stemplot1820181
Node: Package diag1821191
Node: Functions and Variables for diag1821375
Ref: diag_function1821554
Ref: JF1822821
Ref: jordan1823641
Ref: dispJordan1826109
Ref: minimalPoly1827291
Ref: ModeMatrix1828053
Ref: mat_function1829817
Node: Package distrib1833928
Node: Introduction to distrib1834214
Node: Functions and Variables for continuous distributions1840262
Node: Normal Random Variable1841193
Ref: pdf_normal1841594
Ref: cdf_normal1842179
Ref: quantile_normal1843041
Ref: mean_normal1843663
Ref: var_normal1843905
Ref: std_normal1844202
Ref: skewness_normal1844488
Ref: kurtosis_normal1844772
Ref: random_normal1845084
Node: Student's t Random Variable1845585
Ref: pdf_student_t1846133
Ref: cdf_student_t1846901
Ref: quantile_student_t1847767
Ref: mean_student_t1848070
Ref: var_student_t1848312
Ref: std_student_t1848795
Ref: skewness_student_t1849173
Ref: kurtosis_student_t1849485
Ref: random_student_t1849868
Node: Noncentral Student's t Random Variable1850702
Ref: pdf_noncentral_student_t1851349
Ref: cdf_noncentral_student_t1854648
Ref: quantile_noncentral_student_t1855109
Ref: mean_noncentral_student_t1855521
Ref: var_noncentral_student_t1856558
Ref: std_noncentral_student_t1857264
Ref: skewness_noncentral_student_t1857970
Ref: kurtosis_noncentral_student_t1859399
Ref: random_noncentral_student_t1861002
Node: Chi-squared Random Variable1861960
Ref: pdf_chi21862439
Ref: cdf_chi21863440
Ref: quantile_chi21864210
Ref: mean_chi21864635
Ref: var_chi21864990
Ref: std_chi21865353
Ref: skewness_chi21865748
Ref: kurtosis_chi21866430
Ref: random_chi21867008
Node: Noncentral Chi-squared Random Variable1867421
Ref: pdf_noncentral_chi21868032
Ref: cdf_noncentral_chi21868931
Ref: quantile_noncentral_chi21869250
Ref: mean_noncentral_chi21869650
Ref: var_noncentral_chi21869917
Ref: std_noncentral_chi21870194
Ref: skewness_noncentral_chi21870496
Ref: kurtosis_noncentral_chi21870908
Ref: random_noncentral_chi21871298
Node: F Random Variable1871722
Ref: pdf_f1872171
Ref: cdf_f1873092
Ref: quantile_f1873893
Ref: mean_f1874241
Ref: var_f1874576
Ref: std_f1874957
Ref: skewness_f1875342
Ref: kurtosis_f1875745
Ref: random_f1876241
Node: Exponential Random Variable1876869
Ref: pdf_exp1877302
Ref: cdf_exp1877813
Ref: quantile_exp1878348
Ref: mean_exp1878965
Ref: var_exp1879505
Ref: std_exp1880147
Ref: skewness_exp1880718
Ref: kurtosis_exp1881122
Ref: random_exp1881526
Node: Lognormal Random Variable1881900
Ref: pdf_lognormal1882256
Ref: cdf_lognormal1882994
Ref: quantile_lognormal1883979
Ref: mean_lognormal1884537
Ref: var_lognormal1884971
Ref: std_lognormal1885333
Ref: skewness_lognormal1885841
Ref: kurtosis_lognormal1886250
Ref: random_lognormal1886670
Node: Gamma Random Variable1887116
Ref: pdf_gamma1887547
Ref: cdf_gamma1888096
Ref: quantile_gamma1888799
Ref: mean_gamma1889097
Ref: var_gamma1889338
Ref: std_gamma1889634
Ref: skewness_gamma1889909
Ref: kurtosis_gamma1890296
Ref: random_gamma1890677
Node: Beta Random Variable1891412
Ref: pdf_beta1891783
Ref: cdf_beta1892289
Ref: quantile_beta1893027
Ref: mean_beta1893323
Ref: var_beta1893662
Ref: std_beta1894006
Ref: skewness_beta1894406
Ref: kurtosis_beta1894777
Ref: random_beta1895245
Node: Continuous Uniform Random Variable1895732
Ref: pdf_continuous_uniform1896102
Ref: cdf_continuous_uniform1896498
Ref: quantile_continuous_uniform1896920
Ref: mean_continuous_uniform1897263
Ref: var_continuous_uniform1897628
Ref: std_continuous_uniform1898061
Ref: skewness_continuous_uniform1898468
Ref: kurtosis_continuous_uniform1898774
Ref: random_continuous_uniform1899053
Node: Logistic Random Variable1899533
Ref: pdf_logistic1899914
Ref: cdf_logistic1900708
Ref: quantile_logistic1901280
Ref: mean_logistic1901588
Ref: var_logistic1901834
Ref: std_logistic1902237
Ref: skewness_logistic1902623
Ref: kurtosis_logistic1902911
Ref: random_logistic1903295
Node: Pareto Random Variable1903692
Ref: pdf_pareto1903931
Ref: cdf_pareto1904293
Ref: quantile_pareto1904671
Ref: mean_pareto1904972
Ref: var_pareto1905184
Ref: std_pareto1905619
Ref: skewness_pareto1906071
Ref: kurtosis_pareto1906465
Ref: random_pareto1906940
Node: Weibull Random Variable1907331
Ref: pdf_weibull1907572
Ref: cdf_weibull1908218
Ref: quantile_weibull1908612
Ref: mean_weibull1908916
Ref: var_weibull1909261
Ref: std_weibull1909640
Ref: skewness_weibull1910038
Ref: kurtosis_weibull1910765
Ref: random_weibull1911479
Node: Rayleigh Random Variable1911872
Ref: pdf_rayleigh1912218
Ref: cdf_rayleigh1912805
Ref: quantile_rayleigh1913402
Ref: mean_rayleigh1913936
Ref: var_rayleigh1914497
Ref: std_rayleigh1915339
Ref: skewness_rayleigh1916132
Ref: kurtosis_rayleigh1917241
Ref: random_rayleigh1918310
Node: Laplace Random Variable1918696
Ref: pdf_laplace1919151
Ref: cdf_laplace1919791
Ref: quantile_laplace1920179
Ref: mean_laplace1920481
Ref: var_laplace1920723
Ref: std_laplace1921021
Ref: skewness_laplace1921299
Ref: kurtosis_laplace1921583
Ref: random_laplace1921867
Node: Cauchy Random Variable1922258
Ref: pdf_cauchy1922865
Ref: cdf_cauchy1923283
Ref: quantile_cauchy1923812
Ref: random_cauchy1924112
Node: Gumbel Random Variable1924499
Ref: pdf_gumbel1924704
Ref: cdf_gumbel1925254
Ref: quantile_gumbel1925681
Ref: mean_gumbel1925981
Ref: var_gumbel1926377
Ref: std_gumbel1926772
Ref: skewness_gumbel1927146
Ref: kurtosis_gumbel1927926
Ref: random_gumbel1928303
Node: Functions and Variables for discrete distributions1928690
Node: General Finite Discrete Random Variable1929307
Ref: pdf_general_finite_discrete1929620
Ref: cdf_general_finite_discrete1930525
Ref: quantile_general_finite_discrete1931415
Ref: mean_general_finite_discrete1931647
Ref: var_general_finite_discrete1931863
Ref: std_general_finite_discrete1932082
Ref: skewness_general_finite_discrete1932311
Ref: kurtosis_general_finite_discrete1932547
Ref: random_general_finite_discrete1932783
Node: Binomial Random Variable1933425
Ref: pdf_binomial1934101
Ref: cdf_binomial1934514
Ref: quantile_binomial1935186
Ref: mean_binomial1935534
Ref: var_binomial1935822
Ref: std_binomial1936120
Ref: skewness_binomial1936441
Ref: kurtosis_binomial1936879
Ref: random_binomial1937317
Node: Poisson Random Variable1937882
Ref: pdf_poisson1938385
Ref: cdf_poisson1938823
Ref: quantile_poisson1939276
Ref: mean_poisson1939573
Ref: var_poisson1939809
Ref: std_poisson1940052
Ref: skewness_poisson1940323
Ref: kurtosis_poisson1940691
Ref: random_poisson1941069
Node: Bernoulli Random Variable1941613
Ref: pdf_bernoulli1942128
Ref: cdf_bernoulli1942644
Ref: quantile_bernoulli1943069
Ref: mean_bernoulli1943384
Ref: var_bernoulli1943765
Ref: std_bernoulli1944160
Ref: skewness_bernoulli1944581
Ref: kurtosis_bernoulli1945221
Ref: random_bernoulli1945863
Node: Geometric Random Variable1946309
Ref: pdf_geometric1946904
Ref: cdf_geometric1947322
Ref: quantile_geometric1947666
Ref: mean_geometric1948128
Ref: var_geometric1948622
Ref: std_geometric1949005
Ref: skewness_geometric1949336
Ref: kurtosis_geometric1949713
Ref: random_geometric1950143
Node: Discrete Uniform Random Variable1950703
Ref: pdf_discrete_uniform1951255
Ref: cdf_discrete_uniform1951688
Ref: quantile_discrete_uniform1952135
Ref: mean_discrete_uniform1952489
Ref: var_discrete_uniform1952871
Ref: std_discrete_uniform1953309
Ref: skewness_discrete_uniform1953778
Ref: kurtosis_discrete_uniform1954099
Ref: random_discrete_uniform1954587
Node: Hypergeometric Random Variable1955075
Ref: pdf_hypergeometric1955693
Ref: cdf_hypergeometric1956461
Ref: quantile_hypergeometric1957305
Ref: mean_hypergeometric1957696
Ref: var_hypergeometric1958149
Ref: std_hypergeometric1958699
Ref: skewness_hypergeometric1959306
Ref: kurtosis_hypergeometric1959990
Ref: random_hypergeometric1960889
Node: Negative Binomial Random Variable1961518
Ref: pdf_negative_binomial1962192
Ref: cdf_negative_binomial1962719
Ref: quantile_negative_binomial1963249
Ref: mean_negative_binomial1963619
Ref: var_negative_binomial1964020
Ref: std_negative_binomial1964474
Ref: skewness_negative_binomial1964908
Ref: kurtosis_negative_binomial1965356
Ref: random_negative_binomial1965844
Node: Package draw1966356
Node: Introduction to draw1966642
Node: Functions and Variables for draw1969122
Ref: gr2d1969383
Ref: gr3d1970724
Ref: draw1971633
Ref: draw2d1973741
Ref: draw3d1974022
Ref: draw_file1974303
Ref: multiplot_mode1974756
Ref: set_draw_defaults1976135
Ref: adapt_depth_draw1976959
Ref: allocation1977215
Ref: axis_3d1978627
Ref: axis_bottom1979141
Ref: axis_left1979616
Ref: axis_right1980058
Ref: axis_top1980503
Ref: background_color1980943
Ref: border1981332
Ref: capping1981972
Ref: cbrange1982603
Ref: cbtics1983548
Ref: color_draw1984263
Ref: colorbox1988102
Ref: columns1989147
Ref: contour1989788
Ref: contour_levels1990942
Ref: data_file_name1992907
Ref: delay1993310
Ref: dimensions_draw1994158
Ref: draw_realpart1996033
Ref: enhanced3d1996734
Ref: error_type2002631
Ref: file_name2002974
Ref: fill_color2003604
Ref: fill_density2003827
Ref: filled_func2004052
Ref: font2005544
Ref: font_size2008840
Ref: gnuplot_file_name2009274
Ref: grid_draw2010050
Ref: head_angle2010806
Ref: head_both2012046
Ref: head_length2012684
Ref: head_type2013398
Ref: interpolate_color2014255
Ref: ip_grid2017101
Ref: ip_grid_in2017304
Ref: key2017517
Ref: key_pos2018322
Ref: label_alignment2019404
Ref: label_orientation2020339
Ref: line_type2021291
Ref: line_width2022325
Ref: logcb2023098
Ref: logx_draw2023845
Ref: logx_secondary2024437
Ref: logy_draw2025340
Ref: logy_secondary2025796
Ref: logz2026664
Ref: palette_draw2027800
Ref: point_size2031087
Ref: point_type_draw2031700
Ref: points_joined2033495
Ref: proportional_axes2034709
Ref: surface_hide2035941
Ref: terminal2036482
Ref: title_draw2040069
Ref: transform2040500
Ref: transparent2041937
Ref: unit_vectors2042496
Ref: user_preamble2043196
Ref: view2044422
Ref: wired_surface2045344
Ref: x_voxel2045839
Ref: xaxis2046103
Ref: xaxis_color2046577
Ref: xaxis_secondary2047083
Ref: xaxis_type2047924
Ref: xaxis_width2048429
Ref: xlabel_draw2048902
Ref: xlabel_secondary2049451
Ref: xrange2050207
Ref: xrange_secondary2050745
Ref: xtics_draw2051266
Ref: xtics_axis2053250
Ref: xtics_rotate2053588
Ref: xtics_rotate_secondary2053858
Ref: xtics_secondary2054158
Ref: xtics_secondary_axis2054373
Ref: xu_grid2054741
Ref: xy_file2055276
Ref: xyplane2055645
Ref: y_voxel2056173
Ref: yaxis2056437
Ref: yaxis_color2056885
Ref: yaxis_secondary2057391
Ref: yaxis_type2058106
Ref: yaxis_width2058612
Ref: ylabel_draw2059085
Ref: ylabel_secondary2059641
Ref: yrange2060492
Ref: yrange_secondary2061094
Ref: ytics_draw2061936
Ref: ytics_axis2062129
Ref: ytics_rotate2062467
Ref: ytics_rotate_secondary2062737
Ref: ytics_secondary2063037
Ref: ytics_secondary_axis2063247
Ref: yv_grid2063615
Ref: z_voxel2064178
Ref: zaxis2064391
Ref: zaxis_color2064952
Ref: zaxis_type2065559
Ref: zaxis_width2066122
Ref: zlabel_draw2066691
Ref: zlabel_rotate2067280
Ref: zrange2067893
Ref: ztics_draw2068522
Ref: ztics_axis2068720
Ref: ztics_rotate2069058
Ref: bars2069377
Ref: cylindrical2070288
Ref: elevation_grid2071048
Ref: ellipse2072109
Ref: errors2073347
Ref: explicit2074820
Ref: image2076889
Ref: implicit2080746
Ref: label_draw2082731
Ref: mesh2084010
Ref: parametric2085476
Ref: parametric_surface2087001
Ref: points2088298
Ref: polar2094723
Ref: polygon2095625
Ref: quadrilateral2096556
Ref: rectangle2097732
Ref: region2098755
Ref: spherical2099538
Ref: triangle2100305
Ref: tube2101307
Ref: vector2102117
Ref: draw_renderer2103486
Node: Functions and Variables for pictures2104021
Ref: get_pixel2104277
Ref: make_level_picture2104445
Ref: make_rgb_picture2105621
Ref: negative_picture2106748
Ref: picture_equalp2106847
Ref: picturep2106965
Ref: read_xpm2107091
Ref: rgb2level2107183
Ref: take_channel2107320
Node: Functions and Variables for worldmap2108248
Ref: boundaries_array2108526
Ref: numbered_boundaries2108887
Ref: make_poly_continent2109422
Ref: make_poly_country2110036
Ref: make_polygon2110399
Ref: region_boundaries2113537
Ref: region_boundaries_plus2114089
Ref: geomap2114728
Node: Package drawdf2121061
Node: Introduction to drawdf2121274
Node: Functions and Variables for drawdf2123199
Ref: drawdf2123431
Node: Package dynamics2131977
Node: The dynamics package2132247
Node: Graphical analysis of discrete dynamical systems2132943
Ref: chaosgame2133213
Ref: evolution2133981
Ref: evolution2d2134729
Ref: ifs2135769
Ref: orbits2137196
Ref: staircase2138624
Node: Visualization with VTK2139498
Ref: scene2139961
Ref: scene_options2142228
Ref: scene_azimuth2142271
Ref: scene_background2142574
Ref: scene_elevation2142823
Ref: scene_height2143157
Ref: scene_restart2143335
Ref: scene_tstep2143588
Ref: scene_width2143792
Ref: scene_windowname2143967
Ref: scene_windowtitle2144272
Ref: scene_objects2144473
Ref: cone2144516
Ref: cube2145397
Ref: cylinder2145738
Ref: sphere2146395
Ref: object_options2146515
Ref: object_animation2146576
Ref: object_capping2147195
Ref: object_center2147453
Ref: object_color2147814
Ref: object_endphi2148031
Ref: object_endtheta2148497
Ref: object_height2148959
Ref: object_linewidth2149124
Ref: object_opacity2149311
Ref: object_orientation2149570
Ref: object_origin2149948
Ref: object_phiresolution2150224
Ref: object_points2150522
Ref: object_pointsize2150737
Ref: object_position2150921
Ref: object_radius2151142
Ref: object_resolution2151370
Ref: object_scale2151573
Ref: object_startphi2152028
Ref: object_starttheta2152495
Ref: object_surface2152958
Ref: object_thetaresolution2153261
Ref: object_track2153573
Ref: object_xlength2154564
Ref: object_ylength2154772
Ref: object_zlength2154980
Ref: object_wireframe2155188
Node: Package engineering-format2155404
Node: Functions and Variables for engineering-format2155799
Ref: engineering_format_floats2156048
Ref: engineering_format_min2156624
Ref: engineering_format_max2157409
Node: Package ezunits2157667
Node: Introduction to ezunits2157933
Node: Introduction to physical_constants2161668
Ref: physical_constants2161911
Node: Functions and Variables for ezunits2166611
Ref: constvalue2177716
Ref: declare_constvalue2178608
Ref: remove_constvalue2179212
Ref: units2179373
Ref: declare_units2180727
Ref: qty2181483
Ref: declare_qty2182458
Ref: unitp2183147
Ref: declare_unit_conversion2184366
Ref: declare_dimensions2186221
Ref: remove_dimensions2187205
Ref: declare_fundamental_dimensions2187378
Ref: declare_fundamental_units2188768
Ref: dimensions2190475
Ref: fundamental_units2192262
Ref: dimensionless2193638
Ref: natural_unit2194742
Node: Package f902194987
Node: Functions for f902195149
Ref: f90_output_line_length_max2195269
Ref: function_f902196902
Node: Package finance2198992
Node: Introduction to finance2199207
Node: Functions and Variables for finance2199820
Ref: days3602200022
Ref: fv2200327
Ref: pv2200682
Ref: graph_flow2201040
Ref: annuity_pv2201425
Ref: annuity_fv2201836
Ref: geo_annuity_pv2202245
Ref: geo_annuity_fv2202712
Ref: amortization2203176
Ref: arit_amortization2204561
Ref: geo_amortization2206261
Ref: saving2207917
Ref: npv2209317
Ref: irr2209636
Ref: benefit_cost2210038
Node: Package format2210666
Node: Introduction to format2210882
Node: Functions and Variables for format2213304
Ref: Template keywords2216310
Node: Package fractals2231217
Node: Introduction to fractals2231537
Node: Definitions for IFS fractals2232163
Ref: sierpinskiale2232883
Ref: treefale2233255
Ref: fernfale2233544
Node: Definitions for complex fractals2233889
Ref: mandelbrot_set2234128
Ref: julia_set2234622
Ref: julia_parameter2235138
Ref: julia_sin2235440
Node: Definitions for Koch snowflakes2236249
Ref: snowmap2236484
Node: Definitions for Peano maps2237246
Ref: hilbertmap2237530
Ref: sierpinskimap2237777
Node: Package gentran2238032
Node: Introduction to Gentran2238319
Node: Functions for Gentran2238875
Node: Gentran Mode Switches2246372
Node: Gentran Option Variables2248384
Node: Gentran Evaluation Forms2255798
Node: Package ggf2258918
Node: Functions and Variables for ggf2259093
Ref: ggf2260399
Node: Package graphs2262471
Node: Introduction to graphs2262682
Node: Functions and Variables for graphs2263805
Ref: create_graph2264049
Ref: copy_graph2266113
Ref: circulant_graph2266183
Ref: clebsch_graph2266764
Ref: complement_graph2266828
Ref: complete_bipartite_graph2266912
Ref: complete_graph2267024
Ref: cycle_digraph2267109
Ref: cycle_graph2267193
Ref: cuboctahedron_graph2267266
Ref: cube_graph2267345
Ref: dodecahedron_graph2267416
Ref: empty_graph2267490
Ref: flower_snark2267569
Ref: from_adjacency_matrix2267818
Ref: frucht_graph2267925
Ref: graph_product2267987
Ref: graph_union2268291
Ref: grid_graph2268385
Ref: great_rhombicosidodecahedron_graph2268453
Ref: great_rhombicuboctahedron_graph2268559
Ref: grotzch_graph2268659
Ref: heawood_graph2268723
Ref: icosahedron_graph2268787
Ref: icosidodecahedron_graph2268859
Ref: induced_subgraph2268943
Ref: line_graph2269442
Ref: make_graph2269520
Ref: mycielski_graph2270748
Ref: new_graph2270838
Ref: path_digraph2270920
Ref: path_graph2271002
Ref: petersen_graph2271073
Ref: random_bipartite_graph2271281
Ref: random_digraph2271445
Ref: random_regular_graph2271588
Ref: random_graph2271807
Ref: random_graph12271940
Ref: random_network2272046
Ref: random_tournament2272570
Ref: random_tree2272659
Ref: small_rhombicosidodecahedron_graph2272736
Ref: small_rhombicuboctahedron_graph2272842
Ref: snub_cube_graph2272942
Ref: snub_dodecahedron_graph2273010
Ref: truncated_cube_graph2273094
Ref: truncated_dodecahedron_graph2273172
Ref: truncated_icosahedron_graph2273266
Ref: truncated_tetrahedron_graph2273358
Ref: tutte_graph2273450
Ref: underlying_graph2273510
Ref: wheel_graph2273609
Ref: adjacency_matrix2273739
Ref: average_degree2274304
Ref: biconnected_components2274633
Ref: bipartition2275188
Ref: chromatic_index2275662
Ref: chromatic_number2275918
Ref: clear_edge_weight2276246
Ref: clear_vertex_label2276686
Ref: connected_components2277167
Ref: diameter2277500
Ref: edge_coloring2277716
Ref: degree_sequence2278471
Ref: edge_connectivity2278730
Ref: edges2278859
Ref: get_edge_weight2279110
Ref: get_vertex_label2279839
Ref: get_unique_vertex_by_label2280325
Ref: get_all_vertices_by_label2281196
Ref: graph_charpoly2281877
Ref: graph_center2282247
Ref: graph_eigenvalues2282488
Ref: graph_periphery2282851
Ref: graph_size2283106
Ref: graph_order2283352
Ref: girth2283603
Ref: hamilton_cycle2283841
Ref: hamilton_path2284281
Ref: isomorphism2284734
Ref: in_neighbors2285238
Ref: is_biconnected2285614
Ref: is_bipartite2285959
Ref: is_connected2286319
Ref: is_digraph2286609
Ref: is_edge_in_graph2286948
Ref: is_graph2287561
Ref: is_graph_or_digraph2287885
Ref: is_isomorphic2288266
Ref: is_planar2288671
Ref: is_sconnected2289205
Ref: is_vertex_in_graph2289582
Ref: is_tree2289982
Ref: laplacian_matrix2290331
Ref: max_clique2291034
Ref: max_degree2291300
Ref: max_flow2291685
Ref: max_independent_set2292718
Ref: max_matching2293133
Ref: min_degree2293606
Ref: min_edge_cut2293990
Ref: min_vertex_cover2294120
Ref: min_vertex_cut2294216
Ref: minimum_spanning_tree2294352
Ref: neighbors2294731
Ref: odd_girth2295007
Ref: out_neighbors2295367
Ref: planar_embedding2295745
Ref: print_graph2296290
Ref: radius2296991
Ref: set_edge_weight2297201
Ref: set_vertex_label2297687
Ref: shortest_path2298457
Ref: shortest_weighted_path2298914
Ref: strong_components2299531
Ref: topological_sort2299898
Ref: vertex_connectivity2300439
Ref: vertex_degree2300574
Ref: vertex_distance2300676
Ref: vertex_eccentricity2301092
Ref: vertex_in_degree2301376
Ref: vertex_out_degree2301939
Ref: vertices2302322
Ref: vertex_coloring2302548
Ref: wiener_index2303034
Ref: add_edge2303279
Ref: add_edges2303678
Ref: add_vertex2304068
Ref: add_vertices2304420
Ref: connect_vertices2304611
Ref: contract_edge2305170
Ref: remove_edge2305961
Ref: remove_vertex2306332
Ref: dimacs_export2306495
Ref: dimacs_import2306753
Ref: graph6_decode2306850
Ref: graph6_encode2306961
Ref: graph6_export2307071
Ref: graph6_import2307205
Ref: sparse6_decode2307313
Ref: sparse6_encode2307431
Ref: sparse6_export2307548
Ref: sparse6_import2307684
Ref: draw_graph2307837
Ref: draw_graph_program2311523
Ref: show_id2311703
Ref: show_label2311819
Ref: label_alignment_graphs2311941
Ref: show_weight2312126
Ref: vertex_type2312247
Ref: vertex_size2312436
Ref: vertex_color2312499
Ref: show_vertices2312581
Ref: show_vertex_type2312706
Ref: show_vertex_size2312903
Ref: show_vertex_color2312990
Ref: vertex_partition2313105
Ref: vertex_coloring_variable2313343
Ref: edge_color2313515
Ref: edge_width2313592
Ref: edge_type2313652
Ref: show_edges2313785
Ref: show_edge_color2313900
Ref: show_edge_width2314007
Ref: show_edge_type2314088
Ref: edge_partition2314242
Ref: edge_coloring_variable2314446
Ref: redraw2314608
Ref: head_angle_graphs2314801
Ref: head_length_graphs2314930
Ref: spring_embedding_depth2315062
Ref: terminal_graphs2315217
Ref: file_name_graphs2315345
Ref: program2315439
Ref: fixed_vertices2315881
Ref: vertices_to_path2316066
Ref: vertices_to_cycle2316208
Node: Package grobner2316352
Node: Introduction to grobner2316573
Node: Functions and Variables for grobner2318391
Ref: poly_add2321300
Ref: poly_subtract2321551
Ref: poly_multiply2321819
Ref: poly_s_polynomial2322066
Ref: poly_primitive_part2322228
Ref: poly_normalize2322474
Ref: poly_expand2322780
Ref: poly_expt2324260
Ref: poly_content2324557
Ref: poly_pseudo_divide2324765
Ref: poly_exact_divide2325389
Ref: poly_normal_form2325609
Ref: poly_buchberger_criterion2325800
Ref: poly_buchberger2326121
Ref: poly_reduction2326824
Ref: poly_minimization2327036
Ref: poly_normalize_list2327334
Ref: poly_grobner2327584
Ref: poly_reduced_grobner2327751
Ref: poly_depends_p2327934
Ref: poly_elimination_ideal2328076
Ref: poly_colon_ideal2328346
Ref: poly_ideal_intersection2328574
Ref: poly_lcm2328737
Ref: poly_gcd2328855
Ref: poly_grobner_equal2329499
Ref: poly_grobner_subsetp2330188
Ref: poly_grobner_member2330481
Ref: poly_ideal_saturation12330953
Ref: poly_ideal_saturation2331314
Ref: poly_ideal_polysaturation12331705
Ref: poly_ideal_polysaturation2332137
Ref: poly_saturation_extension2332451
Ref: poly_polysaturation_extension2332625
Node: Package hompack2332725
Node: Introduction to hompack2332945
Node: Functions and Variables for hompack2333241
Ref: hompack_polsys2333443
Node: Package impdiff2340793
Node: Functions and Variables for impdiff2340986
Ref: implicit_derivative2341180
Node: Package interpol2341639
Node: Introduction to interpol2341864
Node: Functions and Variables for interpol2342286
Ref: lagrange2342493
Ref: charfun22346678
Ref: linearinterpol2348001
Ref: cspline2350680
Ref: ratinterpol2355316
Node: Package itensor2356769
Node: Introduction to itensor2356989
Node: Functions and Variables for itensor2369888
Ref: dispcon2370155
Ref: entertensor2370431
Ref: changename2370752
Ref: listoftens2371137
Ref: ishow2371672
Ref: indices2372015
Ref: rename2373024
Ref: flipflag2376248
Ref: defcon2376873
Ref: remcon2377914
Ref: contract_Itensor2378181
Ref: indexed_tensor2378694
Ref: components2378945
Ref: remcomps2383131
Ref: showcomps2383266
Ref: idummy2385704
Ref: idummyx2386023
Ref: icounter2386158
Ref: kdelta2386407
Ref: kdels2387233
Ref: levi_civita2388095
Ref: lc2kdt2388351
Ref: lc_l2391818
Ref: lc_u2392903
Ref: canten2393209
Ref: concan2393814
Ref: allsym2393962
Ref: decsym2394340
Ref: remsym2396915
Ref: dispsym2397077
Ref: canform2397286
Ref: itensor_diff2398333
Ref: idiff2399750
Ref: liediff2400503
Ref: rediff2401302
Ref: undiff2401431
Ref: evundiff2401930
Ref: flush2404330
Ref: flushd2404490
Ref: flushnd2404648
Ref: coord2405371
Ref: remcoord2405783
Ref: makebox2406088
Ref: conmetderiv2406358
Ref: simpmetderiv2407236
Ref: flush1deriv2410385
Ref: imetric2410607
Ref: idim2411013
Ref: ichr12411187
Ref: ichr22411551
Ref: icurvature2411839
Ref: covdiff2412418
Ref: lorentz2414362
Ref: igeodesic_coords2414562
Ref: iframes2419908
Ref: ifb2420120
Ref: icc12421133
Ref: icc22421773
Ref: ifc12422452
Ref: ifc22422891
Ref: ifr2423297
Ref: ifri2423435
Ref: ifg2423630
Ref: ifgi2423748
Ref: iframe_bracket_form2423867
Ref: inm2424346
Ref: inmc12424690
Ref: inmc22425064
Ref: ikt12425617
Ref: ikt22426062
Ref: itr2426342
Ref: ~2430932
Ref: |2432510
Ref: extdiff2433913
Ref: hodge2435399
Ref: igeowedge_flag2436898
Ref: tentex2437731
Ref: ic_convert2439239
Node: Package lapack2442055
Node: Introduction to lapack2442268
Node: Functions and Variables for lapack2442604
Ref: dgeev2442801
Ref: dgeqrf2445851
Ref: dgesv2447674
Ref: dgesvd2451148
Ref: dlange2456444
Ref: zlange2456444
Ref: dgemm2457482
Ref: zgeev2462619
Ref: zheev2462860
Node: Package lbfgs2467255
Node: Introduction to lbfgs2467462
Node: Functions and Variables for lbfgs2468491
Ref: lbfgs_func2468683
Ref: lbfgs_nfeval_max2483403
Ref: lbfgs_ncorrections2483693
Node: Package levin2483901
Node: Introduction to levin2484159
Node: Functions and Variables for levin2485583
Ref: levin_u_sum2485802
Ref: bflevin_u_sum2486756
Ref: levin_options2487446
Node: Examples for levin2488676
Node: References for levin2493727
Ref: levin-19732493941
Ref: smith-ford-19792494796
Ref: smith-ford-19822495055
Ref: sidi-20032496050
Ref: bender-orszag2496406
Node: Package lindstedt2496578
Node: Functions and Variables for lindstedt2496782
Ref: Lindstedt2496986
Node: Package linearalgebra2498326
Node: Introduction to linearalgebra2498579
Node: Functions and Variables for linearalgebra2503124
Ref: addmatrices2503356
Ref: blockmatrixp2503868
Ref: columnop2503992
Ref: columnswap2504230
Ref: columnspace2504388
Ref: cholesky2504686
Ref: ctranspose2505001
Ref: diag_matrix2505208
Ref: dotproduct2506183
Ref: eigens_by_jacobi2506395
Ref: get_lu_factors2509531
Ref: hankel2509836
Ref: hessian2510125
Ref: hilbert_matrix2511254
Ref: identfor2511392
Ref: invert_by_lu2511972
Ref: jacobian2512141
Ref: kronecker_product2513099
Ref: locate_matrix_entry2513207
Ref: lu_backsub2514159
Ref: lu_factor2518468
Ref: mat_cond2523954
Ref: mat_norm2524481
Ref: linearalgebra_matrixp2524802
Ref: matrix_size2525198
Ref: mat_fullunblocker2525342
Ref: mat_trace2525513
Ref: mat_unblocker2525754
Ref: nullspace2527157
Ref: nullity2527447
Ref: orthogonal_complement2527548
Ref: polytocompanion2527825
Ref: ptringularize2528119
Ref: rowp2528561
Ref: linalg_rank2528791
Ref: rowswap2529292
Ref: toeplitz2529441
Ref: vandermonde_matrix2530275
Ref: zerofor2530435
Ref: zeromatrixp2530982
Node: Package lsquares2531276
Node: Introduction to lsquares2531507
Node: Functions and Variables for lsquares2531857
Ref: lsquares_estimates2532064
Ref: lsquares_estimates_exact2538589
Ref: lsquares_estimates_approximate2540906
Ref: lsquares_mse2543942
Ref: lsquares_residuals2548288
Ref: lsquares_residual_mse2550446
Ref: plsquares2552535
Node: Package minpack2556689
Node: Introduction to minpack2556913
Node: Functions and Variables for minpack2557266
Ref: minpack_lsquares2557468
Ref: minpack_solve2560652
Node: Package makeOrders2563077
Node: Functions and Variables for makeOrders2563281
Ref: makeOrders_func2563490
Node: Package mnewton2564310
Node: Introduction to mnewton2564537
Node: Functions and Variables for mnewton2564852
Ref: newtonepsilon2565054
Ref: newtonmaxiter2565407
Ref: newtondebug2565634
Ref: mnewton2565821
Node: Package numericalio2568377
Ref: numericalio2568689
Node: Introduction to numericalio2568689
Node: Functions and Variables for plain-text input and output2573084
Ref: read_matrix2573414
Ref: read_array2575147
Ref: read_hashed_array2576060
Ref: read_nested_list2577143
Ref: read_list2578110
Ref: write_data2579096
Node: Functions and Variables for binary input and output2580632
Ref: assume_external_byte_order2580918
Ref: openr_binary2581429
Ref: openw_binary2581621
Ref: opena_binary2581835
Ref: read_binary_matrix2581977
Ref: read_binary_array2582403
Ref: read_binary_list2582898
Ref: write_binary_data2583521
Node: Package odepack2584605
Node: Introduction to ODEPACK2584870
Ref: Introduction to ODEPACK-Footnote-12586072
Node: Getting Started with ODEPACK2586127
Node: Functions and Variables for odepack2590820
Ref: dlsode_init2591027
Ref: dlsode_step2592711
Node: Package operatingsystem2595672
Node: Introduction to operatingsystem2595956
Node: Directory operations2596289
Ref: chdir2596486
Ref: mkdir2596546
Ref: rmdir2596603
Ref: getcurrentdirectory2596660
Node: File operations2596956
Ref: copy_file2597134
Ref: rename_file2597214
Ref: delete_file2597297
Node: Environment operations2597360
Ref: getenv2597523
Node: Package opsubst2597772
Node: Functions and Variables for opsubst2597974
Ref: opsubst_func2598168
Node: Package orthopoly2600478
Node: Introduction to orthogonal polynomials2600731
Ref: Floating point Evaluation2611509
Node: Functions and Variables for orthogonal polynomials2618815
Ref: assoc_legendre_p2619079
Ref: assoc_legendre_q2620808
Ref: chebyshev_t2622315
Ref: chebyshev_u2623634
Ref: gen_laguerre2625070
Ref: hermite2626787
Ref: intervalp2628303
Ref: jacobi_p2628420
Ref: laguerre2629444
Ref: legendre_p2630727
Ref: legendre_q2632406
Ref: orthopoly_recur2633637
Ref: orthopoly_weight2635189
Ref: pochhammer2635934
Ref: spherical_bessel_j2637914
Ref: spherical_bessel_y2639661
Ref: spherical_hankel12641411
Ref: spherical_hankel22641746
Ref: spherical_harmonic2642082
Ref: unit_step2644717
Ref: ultraspherical2644985
Node: Package pslq2646354
Node: Introduction to pslq2646565
Node: Functions and Variables for pslq2647046
Ref: guess_exact_value2647233
Node: Package pytranslate2651567
Node: Introduction to pytranslate2651825
Node: Functions in pytranslate2654501
Node: Extending pytranslate2656982
Node: Package quantum_computing2662292
Node: Introduction to quantum_computing2662565
Node: Functions and Variables for Quantum_Computing2663576
Ref: binlist2663828
Ref: binlist2dec2664344
Ref: CNOT2664478
Ref: controlled2664702
Ref: gate2665272
Ref: gate_matrix2666144
Ref: linsert2666748
Ref: lreplace2666969
Ref: normalize2667390
Ref: qdisplay2667503
Ref: qmatrix2667733
Ref: qmeasure2668207
Ref: qubits2668928
Ref: qswap2669236
Ref: Rx2669441
Ref: Ry2669605
Ref: Rz2669769
Ref: tprod2669933
Ref: toffoli2670056
Node: Package ratpow2670305
Node: Functions and Variables for ratpow2671544
Ref: ratp_hipow2671710
Ref: ratp_lopow2672036
Ref: ratp_coeffs2673081
Ref: ratp_dense_coeffs2673464
Node: Package rk_adaptive2673820
Node: Introduction to rk_adaptive2674059
Node: Functions and Variables for rk_adaptive2674503
Ref: rk_adaptive2674725
Node: Package romberg2675991
Node: Functions and Variables for romberg2676187
Ref: romberg_function2676381
Ref: rombergabs2681281
Ref: rombergit2681863
Ref: rombergmin2682319
Ref: rombergtol2682623
Node: Package simplex2683206
Node: Introduction to simplex2683433
Node: Functions and Variables for simplex2685603
Ref: epsilon_lp2685805
Ref: linear_program2686649
Ref: maximize_lp2687760
Ref: minimize_lp2688027
Ref: nonnegative_lp2691505
Ref: scale_lp2691834
Ref: pivot_count_sx2692044
Ref: pivot_max_sx2692187
Node: Package simplification2692310
Node: Introduction to simplification2692632
Node: Package absimp2693029
Node: Package facexp2694110
Ref: facsum2695421
Ref: nextlayerfactor2697386
Ref: facsum_combine2698140
Ref: factorfacsum2698859
Ref: collectterms2699190
Node: Package functs2700479
Ref: rempart2700637
Ref: wronskian2700879
Ref: tracematrix2701561
Ref: nonzeroandfreeof2702046
Ref: gcdivide2703049
Ref: arithmetic2704790
Ref: geometric2705013
Ref: harmonic2705228
Ref: arithsum2705474
Ref: geosum2705636
Ref: gaussprob2705908
Ref: gd2706087
Ref: agd2706237
Ref: vers2706406
Ref: covers2706541
Ref: exsec2706682
Ref: hav2706817
Ref: combination2706952
Ref: permutation2707132
Node: Package ineq2707327
Node: Package rducon2711451
Ref: reduce_consts2711609
Node: Package scifac2713034
Ref: gcfac2713171
Node: Package solve_rec2714166
Node: Introduction to solve_rec2714401
Node: Functions and Variables for solve_rec2715143
Ref: harmonic_number2715355
Ref: harmonic_to_psi2716172
Ref: reduce_order2716532
Ref: simplify_products2718323
Ref: simplify_sum2718539
Ref: solve_rec2719382
Ref: solve_rec_rat2722386
Ref: product_use_gamma2723266
Ref: summand_to_rec2723539
Node: Package stats2724820
Node: Introduction to stats2725136
Node: Functions and Variables for inference_result2726303
Ref: inference_result2726570
Ref: inferencep2728450
Ref: items_inference2728601
Ref: take_inference2729336
Node: Functions and Variables for stats2731212
Ref: stats_numer2731485
Ref: test_mean2731756
Ref: test_means_difference2736261
Ref: test_variance2741256
Ref: test_variance_ratio2743892
Ref: test_proportion2746737
Ref: test_proportions_difference2750362
Ref: test_sign2754167
Ref: test_signed_rank2756169
Ref: test_rank_sum2759333
Ref: test_normality2762146
Ref: linear_regression2763221
Node: Functions and Variables for special distributions2766981
Ref: pdf_signed_rank2767233
Ref: cdf_signed_rank2767475
Ref: pdf_rank_sum2767721
Ref: cdf_rank_sum2767975
Node: Package stirling2768233
Node: Functions and Variables for stirling2768430
Ref: stirling2768629
Node: Package stringproc2771151
Node: Introduction to String Processing2771478
Node: String Input and Output2774933
Ref: close2775807
Ref: flength2775911
Ref: flush_output2776143
Ref: fposition2776302
Ref: freshline2776764
Ref: get_output_stream_string2777174
Ref: make_string_input_stream2777469
Ref: make_string_output_stream2778266
Ref: newline2778968
Ref: opena2779321
Ref: openr2779598
Ref: openw2780474
Ref: printf2780841
Ref: readbyte2786179
Ref: readchar2787083
Ref: readline2787306
Ref: sprint2787525
Ref: writebyte2788327
Node: Characters2789728
Ref: adjust_external_format2789921
Ref: alphacharp2792196
Ref: alphanumericp2793197
Ref: ascii2793425
Ref: cequal2793959
Ref: cequalignore2794076
Ref: cgreaterp2794354
Ref: cgreaterpignore2794504
Ref: charp2794788
Ref: cint2794910
Ref: clessp2795844
Ref: clesspignore2795988
Ref: constituent2796266
Ref: digitcharp2796900
Ref: lowercasep2797058
Ref: newline_variable2797201
Ref: space_variable2797274
Ref: tab_variable2797322
Ref: unicode2797366
Ref: unicode_to_utf82799397
Ref: uppercasep2799956
Ref: us_ascii_only2800100
Ref: utf8_to_unicode2801062
Node: String Processing2801276
Ref: charat2801532
Ref: charlist2801842
Ref: eval_string2802015
Ref: parse_string2802638
Ref: scopy2803283
Ref: sdowncase2803365
Ref: sequal2803593
Ref: sequalignore2803740
Ref: sexplode2804022
Ref: simplode2804119
Ref: sinsert2804829
Ref: sinvertcase2805358
Ref: slength2805812
Ref: smake2805898
Ref: smismatch2806095
Ref: split2806586
Ref: sposition2807400
Ref: sremove2807647
Ref: sremovefirst2808438
Ref: sreverse2808777
Ref: ssearch2808926
Ref: ssort2809606
Ref: ssubst2810328
Ref: ssubstfirst2811274
Ref: strim2811635
Ref: striml2811986
Ref: strimr2812103
Ref: stringp2812221
Ref: substring2812330
Ref: supcase2812927
Ref: tokens2813415
Node: Octets and Utilities for Cryptography2814272
Ref: base642814480
Ref: base64_decode2815471
Ref: crc24sum2815943
Ref: md5sum2817736
Ref: mgf1_sha12819655
Ref: number_to_octets2820605
Ref: octets_to_number2821068
Ref: octets_to_oid2821237
Ref: octets_to_string2821641
Ref: oid_to_octets2823601
Ref: sha1sum2823752
Ref: sha256sum2824990
Ref: string_to_octets2825755
Node: Regular Expressions2826447
Node: Introduction to Regular Expressions2826671
Node: Functions and Variables2827337
Ref: regex_compile2827523
Ref: regex_match_pos2827970
Ref: regex_match2829598
Ref: regex_split2832849
Ref: regex_subst_first2833170
Ref: regex_subst2833920
Ref: string_to_regex2834231
Node: Package sym2834952
Node: Introduction to Symmetries2835175
Node: Functions and Variables for Symmetries2836725
Ref: comp2pui2836980
Ref: ele2pui2837579
Ref: ele2comp2837800
Ref: elem2838021
Ref: mon2schur2839478
Ref: multi2840631
Ref: multi_pui2841365
Ref: pui2841825
Ref: pui2comp2843176
Ref: pui2ele2844447
Ref: puireduc2844853
Ref: schur2comp2845540
Ref: cont2part2846268
Ref: contract2846710
Ref: explose2847555
Ref: part2cont2847819
Ref: partpol2848173
Ref: tcontract2848458
Ref: tpartpol2848675
Ref: direct2848944
Ref: multi_orbit2852675
Ref: multsym2853352
Ref: orbit2854218
Ref: pui_direct2854771
Ref: kostka2857029
Ref: lgtreillis2857275
Ref: ltreillis2857533
Ref: treillis2857821
Ref: treinat2858062
Ref: ele2polynome2858698
Ref: polynome2ele2859531
Ref: prodrac2860128
Ref: pui2polynome2860382
Ref: somrac2861050
Ref: resolvante2861344
Ref: resolvante_alternee12868773
Ref: resolvante_bipartite2869183
Ref: resolvante_diedrale2869780
Ref: resolvante_klein2870508
Ref: resolvante_klein32870871
Ref: resolvante_produit_sym2871234
Ref: resolvante_unitaire2872341
Ref: resolvante_vierer2872702
Ref: multinomial2873106
Ref: permut2873384
Node: Package to_poly_solve2873467
Node: Functions and Variables for to_poly_solve2873681
Ref: complex_number_p2881813
Ref: compose_functions2882745
Ref: dfloat2884781
Ref: elim2885882
Ref: elim_allbut2888574
Ref: eliminate_using2889316
Ref: fourier_elim2890781
Ref: isreal_p2894195
Ref: new_variable2895555
Ref: nicedummies2897319
Ref: real_imagpart_to_conjugate2899466
Ref: rectform_log_if_constant2900227
Ref: simp_inequality2901269
Ref: standardize_inverse_trig2903233
Ref: subst_parallel2903764
Ref: to_poly2905911
Ref: %union2922707
Node: Package trigtools2924591
Node: Introduction to trigtools2924841
Ref: Introduction to trigtools-Footnote-12925770
Node: Functions and Variables for trigtools2925935
Node: Convert to sin and cos2926425
Ref: c2sin2926673
Ref: c2cos2926699
Node: Convert to Trigonometric Functions2929836
Ref: c2trig2930102
Node: Convert to Hyperbolic Functions2932814
Ref: c2hyp2933088
Node: Factor Sums of sin and cos Functions2933825
Ref: trigfactor2934104
Node: Solve Trigonometric Equations2938905
Ref: trigsolve2939176
Node: Evaluation of Trigonometric Functions2948908
Ref: trigvalue2949182
Ref: trigeval2949495
Node: Contract atan Functions2957073
Ref: atan_contract2957281
Node: References2959291
Node: Package unit2959474
Node: Introduction to Units2959685
Node: Functions and Variables for Units2963407
Ref: setunits2963600
Ref: uforget2968530
Ref: convert2969864
Ref: usersetunits2973319
Ref: metricexpandall2981865
Node: Package wrstcse2983005
Node: Introduction to wrstcse2983227
Node: Functions and Variables for wrstcse2986880
Ref: wc_typicalvalues2987084
Ref: wc_inputvalues_min2988078
Ref: wc_inputvalues_max2989780
Ref: wc_inputvalueranges2991555
Ref: wc_systematic2993523
Ref: wc_ewc_simplify2995456
Ref: wc_montecarlo3001619
Ref: wc_mintypmax3002795
Ref: wc_mintypmax_num3004214
Ref: wc_mintypmax_percent3005538
Ref: wc_mintypmax_rss3006881
Ref: wc_mintypmax_rss_percent3008984
Ref: wc_defaultsigma3010377
Ref: wc_defaultvaluespertol3012135
Ref: wc_tolappend3014449
Ref: wc_mintypmax2tol3016514
Ref: wc_inputvalueassumptions3017794
Ref: wc_tolassumptions3019481
Ref: wc_min3021164
Ref: wc_max3022700
Node: Package zeilberger3024500
Node: Introduction to zeilberger3024820
Node: Functions and Variables for zeilberger3026845
Ref: AntiDifference3027064
Ref: Gosper3027249
Ref: GosperSum3027480
Ref: parGosper3029418
Ref: Zeilberger3029747
Node: General global variables3030468
Ref: MAX_ORD3030678
Ref: simplified_output3030818
Ref: linear_solver3031035
Ref: warnings3031228
Ref: Gosper_in_Zeilberger3031419
Ref: trivial_solutions3031703
Node: Variables related to the modular test3031942
Ref: mod_test3032131
Ref: modular_linear_solver3032322
Ref: ev_point3032509
Ref: mod_big_prime3032711
Ref: mod_threshold3032878
Node: Function and Variable Index3033049

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