This is maxima.info, produced by makeinfo version 6.5 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: 1007222
maxima.info-3: 2046347

Tag Table:
(Indirect)
Node: Top264
Node: Introduction to Maxima18499
Node: Command-line options25432
Ref: command_line_options25598
Node: Runtime Environment28433
Node: Introduction for Runtime Environment28720
Node: Interrupts31552
Node: Functions and Variables for Runtime Environment32665
Ref: maxima_tempdir32892
Ref: maxima_userdir33347
Ref: room34044
Ref: sstatus34445
Ref: status34903
Ref: system35908
Ref: time39095
Ref: timedate39579
Ref: parse_timedate41508
Ref: encode_time45140
Ref: decode_time47656
Ref: absolute_real_time49398
Ref: elapsed_real_time49828
Ref: elapsed_run_time50327
Node: Bug Detection and Reporting50879
Node: Functions and Variables for Bug Detection and Reporting51118
Ref: bug_report51358
Ref: build_info51785
Ref: run_testsuite54161
Ref: testsuite_files56500
Node: Help57327
Node: Documentation57508
Node: Functions and Variables for Help58735
Ref: apropos58905
Ref: demo60644
Ref: describe61841
Ref: output_format_for_help64869
Ref: browser65636
Ref: url_base66545
Ref: example67440
Ref: manual_demo68825
Node: Command Line69019
Node: Introduction to Command Line69277
Node: Functions and Variables for Command Line69671
Ref: __69932
Ref: _71673
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Ref: read91434
Ref: readonly91992
Ref: reset92666
Ref: showtime93127
Ref: to_lisp93469
Ref: eval_string_lisp94571
Ref: values95449
Node: Functions and Variables for Display96490
Ref: %edispflag96704
Ref: absboxchar97304
Ref: declare_index_properties97742
Ref: get_index_properties101282
Ref: remove_index_properties101451
Ref: display_index_separator101737
Ref: disp106932
Ref: display107612
Ref: display2d108476
Ref: display_format_internal110173
Ref: with_default_2d_display110863
Ref: display2d_unicode111296
Ref: dispterms112083
Ref: expt113029
Ref: ncexpt113029
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Ref: grind114020
Ref: ibase118697
Ref: ldisp120691
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Ref: lispdisp124044
Ref: negsumdispflag124561
Ref: obase124942
Ref: pfeformat126107
Ref: powerdisp126929
Ref: print127726
Ref: sqrtdispflag129041
Ref: stardisp129190
Ref: ttyoff129354
Node: Data Types and Structures129700
Node: Numbers129947
Node: Introduction to Numbers130169
Node: Functions and Variables for Numbers130893
Ref: bfloat131089
Ref: bfloatp133192
Ref: bftorat133296
Ref: bftrunc134403
Ref: bigfloat_bits134686
Ref: bigfloat_eps135174
Ref: decode_float135690
Ref: evenp137207
Ref: float137412
Ref: float2bf137676
Ref: float_bits137890
Ref: float_eps137992
Ref: float_precision138117
Ref: float_sign138564
Ref: float_infinity_p139590
Ref: float_nan_p140523
Ref: floatnump141272
Ref: fpprec141389
Ref: fpprintprec141656
Ref: integerp142686
Ref: integer_decode_float143616
Ref: is_power_of_two146096
Ref: m1pbranch147624
Ref: nonnegintegerp148213
Ref: numberp148318
Ref: numer149481
Ref: numer_pbranch150188
Ref: numerval151314
Ref: oddp151759
Ref: ratepsilon151960
Ref: rationalize152228
Ref: ratnump153701
Ref: scale_float153839
Ref: unit_in_last_place155242
Node: Strings157265
Node: Introduction to Strings157471
Node: Functions and Variables for Strings159566
Ref: concat159762
Ref: sconcat161207
Ref: string161835
Ref: stringdisp162118
Node: Constants162884
Node: Functions and Variables for Constants163066
Ref: %catalan163256
Ref: %e163932
Ref: %i164293
Ref: false164364
Ref: %gamma164509
Ref: ind165104
Ref: inf165301
Ref: infinity165367
Ref: least_negative_float165437
Ref: least_negative_normalized_float165800
Ref: least_positive_float166030
Ref: least_positive_normalized_float166392
Ref: minf166621
Ref: most_negative_float166703
Ref: most_positive_float166835
Ref: %phi166967
Ref: %pi169382
Ref: true169584
Ref: und169724
Ref: zeroa169914
Ref: zerob170367
Node: Lists170587
Node: Introduction to Lists170823
Node: Functions and Variables for Lists171680
Ref: [171911
Ref: ]171911
Ref: append173419
Ref: assoc173772
Ref: cons175363
Ref: copylist176806
Ref: create_list176880
Ref: delete178116
Ref: eighth180518
Ref: endcons180642
Ref: fifth182014
Ref: first182137
Ref: firstn183713
Ref: fourth186964
Ref: join187088
Ref: last187841
Ref: lastn187965
Ref: length191225
Ref: listarith192061
Ref: lreduce192493
Ref: makelist193830
Ref: member195736
Ref: ninth197076
Ref: pop197199
Ref: push197495
Ref: rest198785
Ref: reverse199877
Ref: rreduce200110
Ref: second201558
Ref: seventh201682
Ref: sixth201807
Ref: sort201930
Ref: sublist207814
Ref: sublist_indices208136
Ref: tenth209214
Ref: third209338
Ref: tree_reduce209461
Ref: unique210791
Ref: xreduce211170
Node: Performance considerations for Lists212843
Node: Arrays215098
Ref: hashed array215263
Ref: hashed arrays215263
Ref: undeclared array215263
Ref: undeclared arrays215263
Node: Functions and Variables for Arrays216461
Ref: array216636
Ref: arrayapply217448
Ref: arrayinfo217711
Ref: arraymake222125
Ref: arrays223918
Ref: arraysetapply225047
Ref: fillarray225265
Ref: listarray227440
Ref: make_array231149
Ref: rearray233287
Ref: remarray233657
Ref: subvar234216
Ref: subvarp234940
Ref: use_fast_arrays235055
Ref: translate_fast_arrays235713
Node: Structures236153
Node: Introduction to Structures236355
Node: Functions and Variables for Structures237982
Ref: structures238193
Ref: defstruct238313
Ref: new239870
Node: Expressions242266
Node: Introduction to Expressions242535
Node: Nouns and Verbs244126
Node: Identifiers246497
Node: Inequality248749
Node: Functions and Variables for Expressions249044
Ref: alias249239
Ref: aliases249468
Ref: allbut249713
Ref: args250709
Ref: atom251835
Ref: display_box_double_lines252077
Ref: box252492
Ref: boxchar254651
Ref: collapse255036
Ref: copy255571
Ref: disolate256395
Ref: dispform256891
Ref: dpart258777
Ref: exptisolate259384
Ref: exptsubst259580
Ref: freeof260273
Ref: inflag264097
Ref: inpart264807
Ref: isolate266071
Ref: isolate_wrt_times266930
Ref: listconstvars267704
Ref: listdummyvars268185
Ref: listofvars268888
Ref: lfreeof269450
Ref: lpart269912
Ref: mainvar270126
Ref: noun270824
Ref: noundisp271440
Ref: nounify271640
Ref: nterms272046
Ref: op272402
Ref: operatorp274144
Ref: option_opsubst274561
Ref: optimize275423
Ref: optimprefix275796
Ref: ordergreat275947
Ref: orderless275947
Ref: ordergreatp276741
Ref: orderlessp276741
Ref: part280472
Ref: partition281917
Ref: partswitch282504
Ref: pickapart282718
Ref: piece285693
Ref: psubst285904
Ref: rembox286737
Ref: reveal289846
Ref: sqrtdenest292378
Ref: sublis293240
Ref: sublis_apply_lambda293705
Ref: subnumsimp293975
Ref: subst294478
Ref: substinpart297800
Ref: substpart300208
Ref: symbolp301361
Ref: unorder301487
Ref: verbify302860
Node: Operators303239
Node: Introduction to operators303544
Node: Arithmetic operators307700
Ref: +307880
Ref: -307880
Ref: *307880
Ref: /307880
Ref: ^307880
Ref: **314877
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Ref: .316396
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Ref: <=316996
Ref: >=316996
Ref: >316996
Node: Logical operators319553
Ref: and319722
Ref: not320723
Ref: or321267
Node: Operators for Equations322257
Ref: #322438
Ref: =323195
Node: Assignment operators327245
Ref: :327425
Ref: ::330214
Ref: ::=330962
Ref: :=333887
Node: User defined operators339610
Ref: infix339762
Ref: matchfix343989
Ref: function_nary348638
Ref: nofix349221
Ref: postfix349770
Ref: prefix350241
Node: Evaluation350629
Node: Functions and Variables for Evaluation350802
Ref: quote350995
Ref: quote-quote355607
Ref: ev361080
Ref: eval369758
Ref: evflag370304
Ref: evfun372843
Ref: infeval375740
Ref: noeval376105
Ref: nouns376323
Ref: pred376601
Node: Simplification376956
Node: Introduction to Simplification377187
Node: Functions and Variables for Simplification387208
Ref: additive387437
Ref: antisymmetric388340
Ref: combine389373
Ref: commutative389955
Ref: demoivre390692
Ref: function_distrib391359
Ref: distribute_over392256
Ref: domain394495
Ref: evenfun394666
Ref: oddfun394666
Ref: expand395340
Ref: expandwrt399533
Ref: expandwert_denom400101
Ref: expandwrt_factored400495
Ref: expon400839
Ref: exponentialize401116
Ref: expop401686
Ref: lassociative402116
Ref: linear402352
Ref: maxnegex404012
Ref: maxposex404192
Ref: multiplicative404365
Ref: multthru406250
Ref: property_nary408581
Ref: negdistrib409282
Ref: opproperties410068
Ref: define_opproperty410521
Ref: outative412079
Ref: radcan413327
Ref: radexpand414558
Ref: rassociative415366
Ref: resimplify415594
Ref: scsimp416579
Ref: simp416996
Ref: symmetric418651
Ref: xthru418881
Node: Elementary Functions420095
Node: Functions for Numbers420445
Ref: abs420616
Ref: ceiling423974
Ref: entier427679
Ref: floor427883
Ref: fix429763
Ref: hstep429824
Ref: lmax430115
Ref: lmin430299
Ref: max430483
Ref: min432220
Ref: round433950
Ref: signum434273
Ref: truncate435022
Node: Functions for Complex Numbers435332
Ref: cabs435551
Ref: carg439401
Ref: conjugate441290
Ref: imagpart441812
Ref: polarform442392
Ref: realpart443067
Ref: rectform443643
Node: Combinatorial Functions444098
Ref: !!444326
Ref: binomial445025
Ref: factcomb446026
Ref: !446940
Ref: factorial446940
Ref: factlim450443
Ref: factorial_expand450631
Ref: genfact450867
Ref: minfactorial451098
Ref: sumsplitfact451641
Node: Root Exponential and Logarithmic Functions452635
Ref: %e_to_numlog452897
Ref: %emode453302
Ref: %enumer454888
Ref: exp455930
Ref: li456864
Ref: log459083
Ref: logabs460500
Ref: logarc461208
Ref: logconcoeffp461433
Ref: logcontract461850
Ref: logexpand462843
Ref: lognegint465947
Ref: logsimp466103
Ref: plog466252
Ref: sqrt466395
Node: Trigonometric Functions466545
Node: Introduction to Trigonometric466848
Node: Functions and Variables for Trigonometric467858
Node: Trigonometric and Hyperbolic Functions468259
Ref: acos468565
Ref: acosh468766
Ref: acot468979
Ref: acoth469183
Ref: acsc469399
Ref: acsch469602
Ref: asec469817
Ref: asech470018
Ref: asin470231
Ref: asinh470430
Ref: atan470641
Ref: atan2470867
Ref: atanh471304
Ref: cos471518
Ref: cosh471714
Ref: cot471922
Ref: coth472121
Ref: csc472332
Ref: csch472530
Ref: sec472740
Ref: sech472936
Ref: sin473144
Ref: sinh473338
Ref: tan473544
Ref: tanh473741
Node: Options Controlling Simplification473950
Ref: %piargs474248
Ref: %iargs476222
Ref: halfangles477254
Ref: trigsign479120
Node: Explicit Simplifications Using Identities479366
Ref: trigexpand479660
Ref: trigexpandplus481058
Ref: trigexpandtimes481378
Ref: triginverses481708
Ref: trigreduce482195
Ref: trigsimp482821
Ref: trigrat483190
Node: Additional Functions486036
Ref: atrig1486245
Ref: ntrig486634
Node: Random Numbers486912
Ref: make_random_state487056
Ref: set_random_state487815
Ref: random487956
Node: Maxima's Database489597
Node: Introduction to Maxima's Database489915
Node: Functions and Variables for Properties490154
Ref: alphabetic490419
Ref: bindtest491061
Ref: constant491627
Ref: constantp492191
Ref: declare493378
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Ref: increasing498482
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Ref: nonscalarp504763
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Node: Functions and Variables for Facts510740
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Ref: equal530976
Ref: notequal535101
Ref: unknown536036
Ref: zeroequiv536190
Node: Plotting537358
Node: Introduction to Plotting537664
Node: Plotting Formats540855
Node: Functions and Variables for Plotting544663
Ref: geomview_command544879
Ref: get_plot_option545445
Ref: gnuplot_command545856
Ref: gnuplot_file_args546435
Ref: gnuplot_view_args547049
Ref: julia548495
Ref: make_transform550356
Ref: mandelbrot551103
Ref: polar_to_xy552672
Ref: plot2d552987
Ref: plot3d562536
Ref: plot_options567722
Ref: remove_plot_option568055
Ref: reset_plot_options568268
Ref: set_plot_option568516
Ref: spherical_to_xyz569750
Ref: xmaxima_plot_command570196
Node: Plotting Options570756
Ref: adapt_depth572342
Ref: axes572878
Ref: azimuth573470
Ref: option_box573986
Ref: color574288
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Ref: color_bar_tics575574
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Ref: plotepsilon582849
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Ref: point_type585091
Ref: pdf_file585624
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Ref: gnuplot_pdf_term_command606822
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Node: File Input and Output611030
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Ref: filename_merge620346
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Node: Functions and Variables for TeX Output639364
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Ref: get_tex_enviroment_default648806
Node: Functions and Variables for Fortran Output649991
Ref: fortindent650235
Ref: fortran650545
Ref: fortspaces652902
Node: Polynomials653068
Node: Introduction to Polynomials653386
Node: Functions and Variables for Polynomials656454
Ref: algebraic656713
Ref: berlefact656888
Ref: bezout657114
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Ref: content662132
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Ref: factor_max_degree_print_warning674561
Ref: factorflag674893
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Ref: factorsum675753
Ref: fasttimes676605
Ref: fullratsimp677034
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Ref: fullratsubstflag680928
Ref: gcd681061
Ref: gcdex683292
Ref: gcfactor685056
Ref: gfactor685336
Ref: gfactorsum685675
Ref: hipow685790
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Ref: keepfloat687342
Ref: lowpow688244
Ref: lratsubst688464
Ref: lrats_max_iter690125
Ref: modulus690375
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Ref: polydecomp693006
Ref: polymod695193
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Ref: quotient697550
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Ref: sqfr722121
Ref: totaldisrep725164
Ref: untelltat725583
Node: Introduction to algebraic extensions725687
Node: Functions and Variables for algebraic extensions729147
Ref: algfac729397
Ref: algnorm730044
Ref: algtrace730581
Ref: bdiscr730954
Ref: primelmt731631
Ref: splitfield733997
Node: Special Functions735962
Node: Introduction to Special Functions736409
Node: Bessel Functions738602
Ref: bessel_j738782
Ref: bessel_y739609
Ref: bessel_i740338
Ref: bessel_k741180
Ref: hankel_1741919
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Ref: scaled_bessel_i746482
Ref: scaled_bessel_i0746974
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Node: Airy Functions748221
Ref: airy_ai749210
Ref: airy_dai749445
Ref: airy_bi749583
Ref: airy_dbi749801
Node: Gamma and Factorial Functions749954
Ref: bffac750323
Ref: bfpsi750802
Ref: cbffac751784
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Ref: gamma_incomplete756322
Ref: gamma_incomplete_regularized757104
Ref: gamma_incomplete_generalized757691
Ref: gamma_expand758368
Ref: gammalim760067
Ref: makegamma760467
Ref: beta761113
Ref: beta_incomplete_regularized771124
Ref: beta_expand780141
Ref: polygamma780617
Ref: maxpsiposint782420
Ref: maxpsinegint783196
Ref: maxpsifracnum784514
Ref: maxpsifracdenom785497
Ref: makefact786490
Node: Exponential Integrals787663
Ref: expintegral_e1788046
Ref: expintegral_e789193
Ref: expintegral_si789576
Ref: expintegral_ci789915
Ref: expintegral_shi790309
Ref: expintegral_chi790653
Ref: expintrep791050
Ref: expintexpand800489
Node: Error Function801517
Ref: erf801905
Ref: erfc802299
Ref: erfi802644
Ref: erf_generalized802730
Ref: fresnel_c802991
Ref: fresnel_s803514
Ref: erf_representation804032
Ref: hypergeometric_representation808055
Node: Struve Functions810832
Ref: struve_h811466
Ref: struve_l811971
Node: Hypergeometric Functions812431
Ref: %w813476
Ref: hgfred817146
Node: Parabolic Cylinder Functions819129
Ref: parabolic_cylinder_d819651
Node: Functions and Variables for Special Functions820208
Ref: kbateman821016
Node: Elliptic Functions823823
Node: Introduction to Elliptic Functions and Integrals824132
Node: Functions and Variables for Elliptic Functions828447
Ref: jacobi_sn828907
Ref: jacobi_cn828988
Ref: jacobi_dn829069
Ref: jacobi_ns829150
Ref: jacobi_sc829243
Ref: jacobi_sd829342
Ref: jacobi_nc829441
Ref: jacobi_cs829534
Ref: jacobi_cd829633
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Ref: jacobi_dc829924
Ref: jacobi_am830023
Ref: inverse_jacobi_dn831591
Ref: inverse_jacobi_ns832204
Ref: inverse_jacobi_sc832813
Ref: inverse_jacobi_sd833419
Ref: inverse_jacobi_nc834037
Ref: inverse_jacobi_cs834641
Ref: inverse_jacobi_cd835236
Ref: inverse_jacobi_nd835843
Ref: inverse_jacobi_ds836466
Ref: inverse_jacobi_dc837074
Node: Functions and Variables for Elliptic Integrals837678
Ref: elliptic_f837939
Ref: elliptic_e838156
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Ref: elliptic_pi838766
Ref: elliptic_kc838945
Ref: elliptic_ec839231
Ref: carlson_rc839516
Ref: carlson_rd840407
Ref: carlson_rf841037
Ref: carlson_rj841639
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Node: Functions and Variables for Limits842991
Ref: lhospitallim843164
Ref: limit843398
Ref: limsubst845443
Ref: tlimit845710
Ref: tlimswitch845946
Ref: gruntz846411
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Node: Functions and Variables for Differentiation847953
Ref: antid848171
Ref: antidiff850573
Ref: at852809
Ref: atomgrad855879
Ref: atvalue856015
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Ref: delta859340
Ref: dependencies859796
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Ref: derivabbrev863868
Ref: derivdegree864121
Ref: derivlist864737
Ref: derivsubst864892
Ref: diff865096
Ref: symbol_diff868568
Ref: express868718
Ref: gradef871431
Ref: gradefs873431
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Node: Introduction to Integration873990
Node: Functions and Variables for Integration874974
Ref: changevar875221
Ref: dblint877525
Ref: defint879998
Ref: erfflag880549
Ref: ilt880767
Ref: intanalysis883089
Ref: integrate884284
Ref: integration_constant892952
Ref: integration_constant_counter893816
Ref: integrate_use_rootsof895166
Ref: laplace897387
Ref: ldefint901514
Ref: pwilt902231
Ref: potential903153
Ref: prefer_d903701
Ref: residue904689
Ref: risch905366
Ref: specint906381
Ref: tldefint910581
Node: Introduction to QUADPACK910692
Ref: Introduction to QUADPACK-Footnote-1914405
Ref: Introduction to QUADPACK-Footnote-2914471
Ref: Introduction to QUADPACK-Footnote-3914537
Ref: Introduction to QUADPACK-Footnote-4914581
Ref: Introduction to QUADPACK-Footnote-5914643
Ref: Introduction to QUADPACK-Footnote-6914683
Ref: Introduction to QUADPACK-Footnote-7914725
Node: Functions and Variables for QUADPACK914910
Ref: quad_qag915112
Ref: quad_qags917855
Ref: quad_qagi920020
Ref: quad_qawc922487
Ref: quad_qawf925860
Ref: quad_qawo928505
Ref: quad_qaws931468
Ref: quad_qagp934195
Ref: quad_control936987
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Node: Functions and Variables for Equations937821
Ref: %rnum938009
Ref: %rnum_list938249
Ref: algepsilon939295
Ref: algexact939393
Ref: algsys939974
Ref: allroots944762
Ref: bfallroots947128
Ref: backsubst947531
Ref: breakup948249
Ref: dimension951739
Ref: dispflag951987
Ref: funcsolve952282
Ref: globalsolve953224
Ref: ieqn954846
Ref: ieqnprint958818
Ref: lhs959494
Ref: linsolve961125
Ref: linsolvewarn964260
Ref: linsolve_params964426
Ref: multiplicities964793
Ref: nroots964995
Ref: nthroot965397
Ref: polyfactor965738
Ref: programmode966070
Ref: realonly966518
Ref: realroots966677
Ref: rhs968828
Ref: rootsconmode970453
Ref: rootscontract970627
Ref: rootsepsilon973299
Ref: solve973495
Ref: solvedecomposes980699
Ref: solveexplicit980867
Ref: solvefactors981101
Ref: solvenullwarn981342
Ref: solveradcan981639
Ref: solvetrigwarn981882
Node: Examples for algsys982130
Node: References for equations1007222
Ref: beyer1007386
Ref: allgower1007618
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Node: Introduction to Differential Equations1008170
Node: Functions and Variables for Differential Equations1008789
Ref: bc21009058
Ref: desolve1009666
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Ref: ic21012187
Ref: ode21012807
Ref: method1016800
Ref: %c1016914
Ref: %k11017035
Ref: %k21017165
Ref: yp1017296
Node: Numerical1017433
Node: Introduction to fast Fourier transform1017903
Node: Functions and Variables for fast Fourier transform1018480
Ref: polartorect1018743
Ref: recttopolar1019330
Ref: inverse_fft1019989
Ref: fft1022493
Ref: real_fft1026925
Ref: inverse_real_fft1027670
Ref: bf_inverse_fft1028031
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Ref: bf_inverse_real_fft1028645
Node: Functions and Variables for FFTPACK51028834
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Ref: fftpack5_inverse_fft1031820
Ref: fftpack5_real_fft1031986
Ref: fftpack5_inverse_real_fft1032838
Node: Functions for numerical solution of equations1033270
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Ref: find_root1034763
Ref: bf_find_root1034763
Ref: find_root_error1034763
Ref: find_root_abs1034763
Ref: find_root_rel1034763
Ref: newton1038849
Node: Introduction to numerical solution of differential equations1040138
Node: Functions for numerical solution of differential equations1041458
Ref: plotdf1041760
Ref: rk1052129
Node: Matrices and Linear Algebra1055636
Node: Introduction to Matrices and Linear Algebra1055935
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Node: Functions and Variables for Matrices and Linear Algebra1061076
Ref: addcol1061370
Ref: addrow1061560
Ref: adjoint1061747
Ref: augcoefmatrix1061898
Ref: cauchy_matrix1062562
Ref: charpoly1063964
Ref: coefmatrix1065593
Ref: col1066020
Ref: columnvector1068415
Ref: covect1068415
Ref: copymatrix1069218
Ref: determinant1069664
Ref: display_determinant_bars1070081
Ref: detout1070572
Ref: diagmatrix1071546
Ref: doallmxops1072035
Ref: domxexpt1072302
Ref: domxmxops1073583
Ref: domxnctimes1073845
Ref: dontfactor1074002
Ref: doscmxops1074433
Ref: doscmxplus1074574
Ref: dot0nscsimp1074772
Ref: dot0simp1074969
Ref: dot1simp1075157
Ref: dotassoc1075343
Ref: dotconstrules1075488
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Ref: dotexptsimp1075948
Ref: dotident1076092
Ref: dotscrules1076195
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Ref: eigenvalues1077849
Ref: eivals1077849
Ref: eigenvectors1079546
Ref: eivects1079546
Ref: ematrix1084404
Ref: entermatrix1084575
Ref: genmatrix1085945
Ref: gramschmidt1088696
Ref: ident1091214
Ref: innerproduct1091286
Ref: inprod1091286
Ref: invert_by_adjoint1091749
Ref: invert1091977
Ref: list_matrix_entries1093079
Ref: lmxchar1093307
Ref: display_matrix_brackets1093923
Ref: display_matrix_padding_horizontal1094261
Ref: display_matrix_padding_vertical1096099
Ref: matrix1097487
Ref: matrixexp1103635
Ref: matrixmap1104058
Ref: matrixp1104220
Ref: matrix_element_add1104315
Ref: matrix_element_mult1105619
Ref: matrix_element_transpose1107588
Ref: mattrace1109749
Ref: minor1110022
Ref: ncharpoly1110167
Ref: newdet1110962
Ref: permanent1111133
Ref: rank1111399
Ref: ratmx1111676
Ref: row1112267
Ref: rmxchar1113890
Ref: scalarmatrixp1114116
Ref: scalefactors1114573
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Ref: similaritytransform1115857
Ref: simtran1115857
Ref: sparse1117043
Ref: submatrix1117247
Ref: transpose1117561
Ref: triangularize1117951
Ref: uniteigenvectors1119001
Ref: ueivects1119001
Ref: unitvector1120284
Ref: uvect1120284
Ref: vectorpotential1120517
Ref: vectorsimp1120841
Ref: vect_cross1122172
Ref: zeromatrix1122386
Node: Sums Products and Series1122491
Node: Functions and Variables for Sums and Products1122929
Ref: bashindices1123202
Ref: lsum1123631
Ref: intosum1124340
Ref: simpproduct1124847
Ref: product1125245
Ref: simpsum1127779
Ref: sum1128154
Ref: sumcontract1132992
Ref: sumexpand1133581
Node: Introduction to Series1134528
Node: Functions and Variables for Series1135103
Ref: cauchysum1135349
Ref: deftaylor1136630
Ref: maxtayorder1137960
Ref: niceindices1138199
Ref: niceindicespref1139630
Ref: nusum1140672
Ref: pade1142813
Ref: powerseries1145866
Ref: psexpand1148191
Ref: revert1148644
Ref: taylor1150517
Ref: taylordepth1158397
Ref: taylorinfo1158650
Ref: taylorp1159564
Ref: taylor_logexpand1159670
Ref: taylor_order_coefficients1160275
Ref: taylor_simplifier1160557
Ref: taylor_truncate_polynomials1160693
Ref: taytorat1160988
Ref: trunc1161184
Ref: unsum1161757
Ref: verbose1162945
Node: Introduction to Fourier series1163075
Node: Functions and Variables for Fourier series1163563
Ref: equalp1163853
Ref: remfun1164027
Ref: funp1164358
Ref: absint1164700
Ref: fourier1165322
Ref: foursimp1165464
Ref: sinnpiflag1165618
Ref: cosnpiflag1165700
Ref: fourexpand1165782
Ref: fourcos1166029
Ref: foursin1166157
Ref: totalfourier1166283
Ref: fourint1166413
Ref: fourintcos1166565
Ref: forintsin1166692
Node: Functions and Variables for Poisson series1166817
Ref: intopois1167068
Ref: outopois1167141
Ref: poisdiff1167500
Ref: poisexpt1167658
Ref: poisint1167785
Ref: poislim1167966
Ref: poismap1168262
Ref: poisplus1168580
Ref: poissimp1168670
Ref: poisson1168781
Ref: poissubst1168892
Ref: poistimes1169787
Ref: poistrim1169880
Ref: printpois1170259
Node: Number Theory1170446
Node: Functions and Variables for Number Theory1170638
Ref: bern1170846
Ref: bernpoly1171583
Ref: bfzeta1171685
Ref: bfhzeta1171882
Ref: burn1172492
Ref: solve_congruences1173395
Ref: cf1174363
Ref: cfdisrep1177255
Ref: cfexpand1177940
Ref: cflength1178608
Ref: divsum1179223
Ref: euler1179787
Ref: factors_only1180301
Ref: fib1180672
Ref: fibtophi1180993
Ref: ifactors1182189
Ref: igcdex1183389
Ref: inrt1184068
Ref: inv_mod1184358
Ref: isqrt1184758
Ref: jacobi1184881
Ref: lcm1185138
Ref: lucas1185354
Ref: mod1185750
Ref: next_prime1186985
Ref: partfrac1187144
Ref: power_mod1188457
Ref: primep1189002
Ref: primep_number_of_tests1189784
Ref: primes1189907
Ref: prev_time1190085
Ref: qunit1190245
Ref: totient1190661
Ref: zeta1191021
Ref: zeta%pi1192410
Ref: zn_add_table1193013
Ref: zn_characteristic_factors1193156
Ref: zn_carmichael_lambda1196502
Ref: zn_determinant1196717
Ref: zn_factor_generators1197768
Ref: zn_invert_by_lu1197996
Ref: zn_log1198970
Ref: zn_mult_table1202086
Ref: zn_nth_root1207108
Ref: zn_order1211759
Ref: zn_power_table1213971
Ref: zn_primroot1218906
Ref: zn_primroot_limit1221314
Ref: zn_primroot_p1221625
Ref: zn_primroot_pretest1223401
Ref: zn_primroot_verbose1223889
Node: Groups1224053
Node: Functions and Variables for Groups1224221
Ref: todd_coxeter1224394
Node: Miscellaneous Options1226173
Node: Introduction to Miscellaneous Options1226443
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Node: Functions and Variables for Miscellaneous Options1227363
Ref: askexp1227595
Ref: genindex1227824
Ref: gensumnum1227990
Ref: gensym1228239
Ref: packagefile1229206
Ref: remvalue1229920
Ref: rncombine1230353
Ref: setup_autoload1231050
Ref: tcl_output1232439
Node: Rules and Patterns1233649
Node: Introduction to Rules and Patterns1233895
Node: Functions and Variables for Rules and Patterns1234926
Ref: apply11235175
Ref: apply21235823
Ref: applyb11236358
Ref: current_let_rule_package1237069
Ref: default_let_rule_package1237644
Ref: defmatch1237928
Ref: defrule1242461
Ref: disprule1243157
Ref: let1244540
Ref: letrat1248802
Ref: letrules1249630
Ref: letsimp1250168
Ref: let_rule_packages1252379
Ref: matchdeclare1252600
Ref: maxapplydepth1260483
Ref: maxapplyheight1260636
Ref: remlet1260797
Ref: remrule1261759
Ref: tellsimp1263797
Ref: tellsimpafter1266243
Ref: clear_rules1275362
Node: Sets1275531
Node: Introduction to Sets1275719
Node: Functions and Variables for Sets1282867
Ref: adjoin1283046
Ref: belln1283523
Ref: cardinality1284506
Ref: cartesian_product1285038
Ref: cartesian_product_list1285793
Ref: disjoin1289473
Ref: disjointp1290155
Ref: divisors1290540
Ref: elementp1292114
Ref: emptyp1292502
Ref: equiv_classes1292819
Ref: every1294164
Ref: extremal_subset1296979
Ref: flatten1297753
Ref: full_listify1300337
Ref: fullsetify1300867
Ref: identity1301456
Ref: integer_partitions1301732
Ref: intersect1303611
Ref: intersection1303716
Ref: listify1305513
Ref: makeset1305926
Ref: moebius1307532
Ref: multinomial_coeff1308750
Ref: num_distinct_partitions1310132
Ref: num_partitions1311001
Ref: partition_set1311916
Ref: permutations1312659
Ref: powerset1313226
Ref: random_permutation1314323
Ref: setdifference1315120
Ref: setequalp1315988
Ref: setify1316612
Ref: setp1317192
Ref: set_partitions1317734
Ref: some1319370
Ref: stirling11322296
Ref: stirling21323622
Ref: subset1325072
Ref: subsetp1325679
Ref: symmdifference1326072
Ref: union1327106
Node: Function Definition1328082
Node: Introduction to Function Definition1328348
Node: Function1328567
Ref: memoizing function1331937
Ref: memoizing functions1331937
Ref: Memoizing function1331937
Ref: Memoizing functions1331937
Node: Macros1334823
Ref: buildq1334983
Ref: macroexpand1339280
Ref: macroexpand11340506
Ref: macros1341644
Ref: splice1341967
Node: Functions and Variables for Function Definition1343597
Ref: apply1343822
Ref: block1347557
Ref: break1350749
Ref: catch1350998
Ref: compfile1352105
Ref: compile1352886
Ref: define1354423
Ref: define_variable1358538
Ref: dispfun1362622
Ref: fullmap1366371
Ref: fullmapl1367032
Ref: functions1367296
Ref: fundef1369117
Ref: funmake1370068
Ref: lambda1373236
Ref: local1379172
Ref: macroexpansion1380502
Ref: mode_declare1386632
Ref: modedeclare1386632
Ref: mode_checkp1390285
Ref: mode_check_errorp1391028
Ref: mode_check_warnp1391166
Ref: mode_identity1391300
Ref: remfunction1392788
Ref: savedef1393531
Ref: translate1393926
Ref: translate_file1396302
Ref: transrun1398761
Ref: tr_array_as_ref1398993
Ref: tr_bound_function_applyp1399421
Ref: tr_file_tty_messagesp1400473
Ref: tr_float_can_branch_complex1400837
Ref: tr_function_call_default1401320
Ref: tr_numer1402018
Ref: tr_optimize_max_loop1402183
Ref: tr_state_vars1402505
Ref: tr_warnings_get1403035
Ref: tr_warn_fexpr1403416
Ref: tr_warn_meval1403659
Ref: tr_warn_mode1403858
Ref: tr_warn_undeclared1404013
Ref: tr_warn_undefined_variable1404169
Ref: compile_file1404310
Ref: declare_translated1405589
Node: Program Flow1406207
Node: Lisp and Maxima1406469
Node: Garbage Collection1410539
Ref: garbage_collect1411077
Node: Introduction to Program Flow1411458
Node: Functions and Variables for Program Flow1411775
Ref: backtrace1411994
Ref: do1413628
Ref: while1413628
Ref: unless1413628
Ref: for1413628
Ref: from1413628
Ref: thru1413628
Ref: step1413628
Ref: next1413628
Ref: in1413628
Ref: errcatch1422801
Ref: error1423333
Ref: warning1423952
Ref: error_size1424260
Ref: error_syms1425790
Ref: errormsg_fn1426419
Ref: errormsg1426576
Ref: go1427781
Ref: if1428297
Ref: map1430903
Ref: mapatom1432708
Ref: maperror1432949
Ref: mapprint1433472
Ref: maplist1433845
Ref: prederror1434293
Ref: return1434759
Ref: scanmap1435957
Ref: throw1437660
Ref: outermap1437839
Node: Debugging1444617
Node: Source Level Debugging1444837
Node: Keyword Commands1448702
Node: Functions and Variables for Debugging1451040
Ref: debugmode1451235
Ref: refcheck1451770
Ref: setcheck1451963
Ref: setcheckbreak1453131
Ref: setval1453611
Ref: timer1453856
Ref: timer_reset1455017
Ref: untimer1455362
Ref: timer_devalue1455958
Ref: timer_info1456378
Ref: trace1457159
Ref: trace_options1458262
Ref: trace_break_arg1463753
Ref: untrace1464129
Node: Error and warning messages1464472
Node: Error Messages1464795
Node: No such list element1465410
Node: argument must be a non-atomic expression1465808
Node: cannot assign to function1466701
Node: 0 to a negative exponent1467070
Node: Comma is not a prefix operator1467384
Node: Illegal use of delimiter1467756
Node: loadfile failed to load1468152
Node: makelist second argument must evaluate to a number1469156
Node: Only symbols can be bound1469676
Node: Operators of arguments must all be the same1470086
Node: out of memory1470926
Node: part fell off the end1472099
Node: undefined variable during plotting1472386
Node: VTK is not installed1473522
Node: Warning Messages1474106
Node: undefined variable during translation1474325
Node: replaced x by y1474959
Node: Package affine1475458
Node: Introduction to Affine1475671
Node: Functions and Variables for Affine1475926
Ref: fast_linsolve1476123
Ref: grobner_basis1476787
Ref: set_up_dot_simplifications1477375
Ref: declare_weights1478277
Ref: nc_degree1478520
Ref: dotsimp1478684
Ref: fast_central_elements1478932
Ref: check_overlaps1479345
Ref: mono1479973
Ref: monomial_dimensions1480215
Ref: extract_linear_equations1480381
Ref: list_nc_monomials1480769
Ref: all_dotsimp_denoms1481063
Node: Package alt-display1481405
Node: Introduction to alt-display1481643
Node: Functions and Variables for alt-display1484456
Ref: alt_display_output_type1484678
Ref: define_alt_display1486424
Ref: info_display1488043
Ref: mathml_display1488364
Ref: tex_display1488726
Ref: multi_display_for_texinfo1488996
Ref: reset_displays1489917
Ref: set_alt_display1490078
Ref: set_prompt1490874
Ref: Functions and Variables for alt-display-Footnote-11493418
Node: Package asympa1493549
Node: Introduction to asympa1493768
Ref: asympa1493964
Node: Functions and variables for asympa1494284
Node: Package atensor1494481
Node: Introduction to atensor1494713
Node: Functions and Variables for atensor1498760
Ref: init_atensor1498962
Ref: atensimp1501466
Ref: alg_type1501874
Ref: adim1502027
Ref: aform1502228
Ref: asymbol1502399
Ref: sf1502481
Ref: af1502768
Ref: av1503061
Ref: abasep1504086
Node: Package augmented_lagrangian1504342
Node: Functions and Variables for augmented_lagrangian1504588
Ref: augmented_lagrangian_method1504847
Node: Package bernstein1508509
Node: Functions and Variables for Bernstein1508722
Ref: bernstein_poly1508926
Ref: bernstein_explicit1510792
Ref: multibernstein_poly1511421
Ref: bernstein_approx1511852
Ref: bernstein_expand1513104
Node: Package bitwise1513599
Node: Functions and Variables for bitwise1514088
Ref: bit_not1514258
Ref: bit_and1514799
Ref: bit_or1515652
Ref: bit_xor1516499
Ref: bit_lsh1517356
Ref: bit_rsh1518108
Ref: bit_length1518876
Ref: bit_onep1519399
Node: Package bode1520965
Node: Functions and Variables for bode1521144
Ref: bode_gain1521323
Ref: bode_phase1522727
Node: Package cartan1524379
Node: Introduction to cartan1524590
Node: Functions and Variables for cartan1525267
Ref: init_cartan1525464
Ref: cartan-~1526135
Ref: cartan-|1526792
Ref: ext_diff1526952
Ref: lie_diff1527090
Node: Package celine1528625
Node: Introduction to celine1528807
Node: Package clebsch_gordan1532644
Node: Functions and Variables for clebsch_gordan1532862
Ref: clebsch_gordan1533091
Ref: racah_v1533226
Ref: racah_w1533385
Ref: wigner_3j1533528
Ref: wigner_6j1533689
Ref: wigner_9j1533785
Node: Package cobyla1533906
Node: Introduction to cobyla1534151
Node: Functions and Variables for cobyla1536827
Ref: fmin_cobyla1537052
Ref: bf_fmin_cobyla1539801
Node: Examples for cobyla1540184
Node: Package colnew1541989
Node: Introduction to colnew1542259
Node: Functions and Variables for colnew1544696
Ref: colnew_expert1544921
Ref: colnew_appsln1553530
Node: Examples for colnew1553988
Node: References for colnew1583631
Ref: gawain-ball1583791
Ref: ascher-1979a1584087
Ref: ascher-1979b1584371
Ref: ascher-1981a1584710
Ref: ascher-1981b1584950
Ref: ascher-russell1585265
Ref: parker-wan1585512
Ref: bader-ascher1585822
Ref: ascher-et-al1586063
Ref: bellon-talon1586324
Node: Package combinatorics1586626
Node: Introduction to combinatorics1586879
Node: Functions and Variables for Combinatorics1588864
Ref: apply_cycles1589096
Ref: cyclep1589845
Ref: perm_cycles1590463
Ref: perm_decomp1590873
Ref: perm_inverse1591308
Ref: perm_length1591752
Ref: perm_lex_next1592217
Ref: perm_lex_rank1592556
Ref: perm_lex_unrank1592968
Ref: perm_next1593339
Ref: perm_parity1593696
Ref: perm_rank1594136
Ref: perm_undecomp1594534
Ref: perm_unrank1594884
Ref: permp1595241
Ref: perms1595687
Ref: perms_lex1597179
Ref: permult1598971
Ref: permute1599244
Ref: random_perm1599853
Node: Package contrib_ode1600116
Node: Introduction to contrib_ode1600465
Node: Functions and Variables for contrib_ode1606196
Ref: contrib_ode1606463
Ref: odelin1606622
Ref: ode_check1607396
Ref: gauss_a1608553
Ref: gauss_b1609221
Ref: dgauss_a1609285
Ref: dgauss_b1609411
Ref: kummer_m1609537
Ref: kummer_u1609981
Ref: dkummer_m1610202
Ref: dkummer_u1610315
Ref: bessel_simplify1610428
Ref: expintegral_e_simplify1611661
Node: Possible improvements to contrib_ode1611972
Node: Test cases for contrib_ode1613090
Node: References for contrib_ode1613858
Node: Package ctensor1615407
Node: Introduction to ctensor1615635
Node: Functions and Variables for ctensor1620159
Ref: csetup1620426
Ref: cmetric1620637
Ref: ct1621560
Ref: init1627785
Ref: christof1629154
Ref: ricci1630049
Ref: uricci1630319
Ref: scurvature1630852
Ref: einstein1631013
Ref: leinstein1631608
Ref: riemann1632012
Ref: lriemann1633263
Ref: uriemann1633734
Ref: rinvariant1633928
Ref: weyl1634175
Ref: ctaylor1635232
Ref: frame1640747
Ref: nptetrad1641345
Ref: psi1642047
Ref: petrov1643325
Ref: contortion1648677
Ref: nonmetricity1648795
Ref: ctransform1648982
Ref: findde1649375
Ref: cograd1651721
Ref: contragrad1651919
Ref: ctensor_dscalar1653057
Ref: checkdiv1653960
Ref: cgeodesic1654403
Ref: bdvac1654696
Ref: invariant11655092
Ref: invariant21655298
Ref: bimetric1655556
Ref: diagmatrixp1655804
Ref: symmetricp1655950
Ref: ntermst1656286
Ref: cdisplay1656656
Ref: deleten1670200
Ref: dim1670385
Ref: diagmetric1670635
Ref: ctrgsimp1671094
Ref: cframe_flag1671291
Ref: ctorsion_flag1671723
Ref: cnonmet_flag1671964
Ref: ctayswitch1672247
Ref: ctayvar1672502
Ref: ctaypov1672619
Ref: ctaypt1672742
Ref: gdet1672876
Ref: ratchristof1673018
Ref: rateinstein1673118
Ref: ratriemann1673360
Ref: ratweyl1673638
Ref: lfg1673895
Ref: ufg1674085
Ref: riem1674224
Ref: lriem1674509
Ref: uriem1674591
Ref: ric1674677
Ref: uric1674752
Ref: lg1674831
Ref: ug1674983
Ref: weyl_variable1675065
Ref: fb1675129
Ref: kinvariant1675213
Ref: np1675299
Ref: npi1675378
Ref: tr1676010
Ref: kt1676112
Ref: nm1676195
Ref: nmc1676279
Ref: tensorkill1676378
Ref: ct_coords1676537
Node: Package descriptive1679942
Node: Introduction to descriptive1680291
Node: Functions and Variables for data manipulation1685397
Ref: build_sample1685696
Ref: continuous_freq1688120
Ref: discrete_freq1691937
Ref: standardize1693285
Ref: subsample1693662
Ref: transform_sample1699766
Node: Functions and Variables for descriptive statistics1701354
Ref: mean1701682
Ref: var1704598
Ref: var11707677
Ref: std1708511
Ref: std11709878
Ref: noncentral_moment1710510
Ref: central_moment1712980
Ref: cv1715619
Ref: smin1716266
Ref: smax1716916
Ref: range1717569
Ref: quantile1718051
Ref: median1719092
Ref: qrange1719835
Ref: mean_deviation1720702
Ref: median_deviation1721660
Ref: harmonic_mean1722568
Ref: geometric_mean1723499
Ref: kurtosis1724424
Ref: skewness1725311
Ref: pearson_skewness1726182
Ref: quartile_skewness1727014
Ref: km1727936
Ref: cdf_empirical1729354
Ref: cov1730348
Ref: cov11732917
Ref: global_variances1734143
Ref: cor1736009
Ref: list_correlations1738277
Ref: principal_components1741516
Node: Functions and Variables for statistical graphs1745778
Ref: barsplot1746044
Ref: barsplot_description1750402
Ref: boxplot1751298
Ref: boxplot_description1754904
Ref: histogram1755087
Ref: histogram_description1760237
Ref: histogram_skyline1761252
Ref: piechart1762758
Ref: piechart_description1764349
Ref: scatterplot1764534
Ref: scatterplot_description1766391
Ref: starplot1766587
Ref: starplot_description1768880
Ref: stemplot1769065
Node: Package diag1770069
Node: Functions and Variables for diag1770253
Ref: diag_function1770432
Ref: JF1771695
Ref: jordan1772511
Ref: dispJordan1774937
Ref: minimalPoly1776097
Ref: ModeMatrix1776837
Ref: mat_function1778563
Node: Package distrib1782666
Node: Introduction to distrib1782952
Node: Functions and Variables for continuous distributions1788976
Node: Normal Random Variable1789907
Ref: pdf_normal1790308
Ref: cdf_normal1790889
Ref: quantile_normal1791741
Ref: mean_normal1792354
Ref: var_normal1792592
Ref: std_normal1792885
Ref: skewness_normal1793167
Ref: kurtosis_normal1793447
Ref: random_normal1793755
Node: Student's t Random Variable1794248
Ref: pdf_student_t1794796
Ref: cdf_student_t1795560
Ref: quantile_student_t1796426
Ref: mean_student_t1796721
Ref: var_student_t1796959
Ref: std_student_t1797442
Ref: skewness_student_t1797816
Ref: kurtosis_student_t1798124
Ref: random_student_t1798503
Node: Noncentral Student's t Random Variable1799329
Ref: pdf_noncentral_student_t1799976
Ref: cdf_noncentral_student_t1803272
Ref: quantile_noncentral_student_t1803733
Ref: mean_noncentral_student_t1804137
Ref: var_noncentral_student_t1805170
Ref: std_noncentral_student_t1805872
Ref: skewness_noncentral_student_t1806574
Ref: kurtosis_noncentral_student_t1807999
Ref: random_noncentral_student_t1809598
Node: Chi-squared Random Variable1810548
Ref: pdf_chi21811027
Ref: cdf_chi21812028
Ref: quantile_chi21812798
Ref: mean_chi21813219
Ref: var_chi21813574
Ref: std_chi21813937
Ref: skewness_chi21814332
Ref: kurtosis_chi21815014
Ref: random_chi21815592
Node: Noncentral Chi-squared Random Variable1815993
Ref: pdf_noncentral_chi21816604
Ref: cdf_noncentral_chi21817499
Ref: quantile_noncentral_chi21817814
Ref: mean_noncentral_chi21818210
Ref: var_noncentral_chi21818477
Ref: std_noncentral_chi21818754
Ref: skewness_noncentral_chi21819056
Ref: kurtosis_noncentral_chi21819469
Ref: random_noncentral_chi21819859
Node: F Random Variable1820275
Ref: pdf_f1820724
Ref: cdf_f1821642
Ref: quantile_f1822443
Ref: mean_f1822787
Ref: var_f1823118
Ref: std_f1823495
Ref: skewness_f1823876
Ref: kurtosis_f1824276
Ref: random_f1824768
Node: Exponential Random Variable1825388
Ref: pdf_exp1825821
Ref: cdf_exp1826332
Ref: quantile_exp1826867
Ref: mean_exp1827480
Ref: var_exp1828020
Ref: std_exp1828662
Ref: skewness_exp1829233
Ref: kurtosis_exp1829637
Ref: random_exp1830041
Node: Lognormal Random Variable1830407
Ref: pdf_lognormal1830763
Ref: cdf_lognormal1831497
Ref: quantile_lognormal1832472
Ref: mean_lognormal1833022
Ref: var_lognormal1833452
Ref: std_lognormal1833811
Ref: skewness_lognormal1834316
Ref: kurtosis_lognormal1834721
Ref: random_lognormal1835138
Node: Gamma Random Variable1835572
Ref: pdf_gamma1836003
Ref: cdf_gamma1836548
Ref: quantile_gamma1837251
Ref: mean_gamma1837541
Ref: var_gamma1837778
Ref: std_gamma1838070
Ref: skewness_gamma1838341
Ref: kurtosis_gamma1838724
Ref: random_gamma1839102
Node: Beta Random Variable1839829
Ref: pdf_beta1840200
Ref: cdf_beta1840702
Ref: quantile_beta1841440
Ref: mean_beta1841728
Ref: var_beta1842063
Ref: std_beta1842403
Ref: skewness_beta1842799
Ref: kurtosis_beta1843166
Ref: random_beta1843630
Node: Continuous Uniform Random Variable1844109
Ref: pdf_continuous_uniform1844479
Ref: cdf_continuous_uniform1844871
Ref: quantile_continuous_uniform1845289
Ref: mean_continuous_uniform1845624
Ref: var_continuous_uniform1845986
Ref: std_continuous_uniform1846415
Ref: skewness_continuous_uniform1846819
Ref: kurtosis_continuous_uniform1847121
Ref: random_continuous_uniform1847396
Node: Logistic Random Variable1847858
Ref: pdf_logistic1848239
Ref: cdf_logistic1849029
Ref: quantile_logistic1849597
Ref: mean_logistic1849897
Ref: var_logistic1850139
Ref: std_logistic1850539
Ref: skewness_logistic1850921
Ref: kurtosis_logistic1851205
Ref: random_logistic1851585
Node: Pareto Random Variable1851974
Ref: pdf_pareto1852213
Ref: cdf_pareto1852571
Ref: quantile_pareto1852945
Ref: mean_pareto1853238
Ref: var_pareto1853446
Ref: std_pareto1853877
Ref: skewness_pareto1854325
Ref: kurtosis_pareto1854715
Ref: random_pareto1855186
Node: Weibull Random Variable1855569
Ref: pdf_weibull1855810
Ref: cdf_weibull1856452
Ref: quantile_weibull1856842
Ref: mean_weibull1857138
Ref: var_weibull1857479
Ref: std_weibull1857854
Ref: skewness_weibull1858248
Ref: kurtosis_weibull1858971
Ref: random_weibull1859681
Node: Rayleigh Random Variable1860066
Ref: pdf_rayleigh1860412
Ref: cdf_rayleigh1860999
Ref: quantile_rayleigh1861596
Ref: mean_rayleigh1862126
Ref: var_rayleigh1862687
Ref: std_rayleigh1863529
Ref: skewness_rayleigh1864322
Ref: kurtosis_rayleigh1865431
Ref: random_rayleigh1866500
Node: Laplace Random Variable1866878
Ref: pdf_laplace1867333
Ref: cdf_laplace1867969
Ref: quantile_laplace1868353
Ref: mean_laplace1868647
Ref: var_laplace1868885
Ref: std_laplace1869179
Ref: skewness_laplace1869453
Ref: kurtosis_laplace1869733
Ref: random_laplace1870013
Node: Cauchy Random Variable1870396
Ref: pdf_cauchy1871003
Ref: cdf_cauchy1871417
Ref: quantile_cauchy1871942
Ref: random_cauchy1872234
Node: Gumbel Random Variable1872613
Ref: pdf_gumbel1872818
Ref: cdf_gumbel1873364
Ref: quantile_gumbel1873787
Ref: mean_gumbel1874079
Ref: var_gumbel1874465
Ref: std_gumbel1874856
Ref: skewness_gumbel1875226
Ref: kurtosis_gumbel1876002
Ref: random_gumbel1876375
Node: Functions and Variables for discrete distributions1876754
Node: General Finite Discrete Random Variable1877371
Ref: pdf_general_finite_discrete1877684
Ref: cdf_general_finite_discrete1878585
Ref: quantile_general_finite_discrete1879475
Ref: mean_general_finite_discrete1879707
Ref: var_general_finite_discrete1879923
Ref: std_general_finite_discrete1880142
Ref: skewness_general_finite_discrete1880371
Ref: kurtosis_general_finite_discrete1880607
Ref: random_general_finite_discrete1880843
Node: Binomial Random Variable1881481
Ref: pdf_binomial1882157
Ref: cdf_binomial1882566
Ref: quantile_binomial1883238
Ref: mean_binomial1883578
Ref: var_binomial1883862
Ref: std_binomial1884156
Ref: skewness_binomial1884473
Ref: kurtosis_binomial1884907
Ref: random_binomial1885341
Node: Poisson Random Variable1885898
Ref: pdf_poisson1886401
Ref: cdf_poisson1886835
Ref: quantile_poisson1887288
Ref: mean_poisson1887577
Ref: var_poisson1887809
Ref: std_poisson1888048
Ref: skewness_poisson1888315
Ref: kurtosis_poisson1888679
Ref: random_poisson1889053
Node: Bernoulli Random Variable1889589
Ref: pdf_bernoulli1890104
Ref: cdf_bernoulli1890620
Ref: quantile_bernoulli1891041
Ref: mean_bernoulli1891348
Ref: var_bernoulli1891729
Ref: std_bernoulli1892124
Ref: skewness_bernoulli1892545
Ref: kurtosis_bernoulli1893185
Ref: random_bernoulli1893827
Node: Geometric Random Variable1894255
Ref: pdf_geometric1894850
Ref: cdf_geometric1895264
Ref: quantile_geometric1895604
Ref: mean_geometric1896058
Ref: var_geometric1896548
Ref: std_geometric1896927
Ref: skewness_geometric1897254
Ref: kurtosis_geometric1897627
Ref: random_geometric1898053
Node: Discrete Uniform Random Variable1898601
Ref: pdf_discrete_uniform1899153
Ref: cdf_discrete_uniform1899582
Ref: quantile_discrete_uniform1900025
Ref: mean_discrete_uniform1900371
Ref: var_discrete_uniform1900749
Ref: std_discrete_uniform1901183
Ref: skewness_discrete_uniform1901648
Ref: kurtosis_discrete_uniform1901965
Ref: random_discrete_uniform1902450
Node: Hypergeometric Random Variable1902920
Ref: pdf_hypergeometric1903538
Ref: cdf_hypergeometric1904302
Ref: quantile_hypergeometric1905138
Ref: mean_hypergeometric1905521
Ref: var_hypergeometric1905971
Ref: std_hypergeometric1906517
Ref: skewness_hypergeometric1907120
Ref: kurtosis_hypergeometric1907801
Ref: random_hypergeometric1908696
Node: Negative Binomial Random Variable1909317
Ref: pdf_negative_binomial1909991
Ref: cdf_negative_binomial1910514
Ref: quantile_negative_binomial1911044
Ref: mean_negative_binomial1911406
Ref: var_negative_binomial1911803
Ref: std_negative_binomial1912253
Ref: skewness_negative_binomial1912683
Ref: kurtosis_negative_binomial1913127
Ref: random_negative_binomial1913611
Node: Package draw1914115
Node: Introduction to draw1914401
Node: Functions and Variables for draw1916787
Ref: gr2d1917048
Ref: gr3d1918311
Ref: draw1919142
Ref: draw2d1921177
Ref: draw3d1921444
Ref: draw_file1921711
Ref: multiplot_mode1922152
Ref: set_draw_defaults1923495
Ref: adapt_depth_draw1924319
Ref: allocation1924563
Ref: axis_3d1925949
Ref: axis_bottom1926435
Ref: axis_left1926880
Ref: axis_right1927287
Ref: axis_top1927697
Ref: background_color1928102
Ref: border1928475
Ref: capping1929075
Ref: cbrange1929674
Ref: cbtics1930565
Ref: color_draw1931234
Ref: colorbox1935051
Ref: columns1936062
Ref: contour1936695
Ref: contour_levels1937811
Ref: data_file_name1939720
Ref: delay1940111
Ref: dimensions_draw1940943
Ref: draw_realpart1942702
Ref: enhanced3d1943377
Ref: error_type1949030
Ref: file_name1949343
Ref: fill_color1949923
Ref: fill_density1950130
Ref: filled_func1950339
Ref: font1951754
Ref: font_size1954948
Ref: gnuplot_file_name1955368
Ref: grid_draw1956126
Ref: head_angle1956846
Ref: head_both1958064
Ref: head_length1958668
Ref: head_type1959360
Ref: interpolate_color1960179
Ref: ip_grid1962971
Ref: ip_grid_in1963162
Ref: key1963363
Ref: key_pos1964088
Ref: label_alignment1965118
Ref: label_orientation1966021
Ref: line_type1966941
Ref: line_width1967853
Ref: logcb1968556
Ref: logx_draw1969261
Ref: logx_secondary1969810
Ref: logy_draw1970678
Ref: logy_secondary1971104
Ref: logz1971937
Ref: palette_draw1973007
Ref: point_size1976208
Ref: point_type_draw1976785
Ref: points_joined1978492
Ref: proportional_axes1979662
Ref: surface_hide1980878
Ref: terminal1981407
Ref: title_draw1984840
Ref: transform1985263
Ref: transparent1986676
Ref: unit_vectors1987199
Ref: user_preamble1987875
Ref: view1989089
Ref: wired_surface1989999
Ref: x_voxel1990486
Ref: xaxis1990736
Ref: xaxis_color1991184
Ref: xaxis_secondary1991664
Ref: xaxis_type1992471
Ref: xaxis_width1992946
Ref: xlabel_draw1993401
Ref: xlabel_secondary1993920
Ref: xrange1994650
Ref: xrange_secondary1995162
Ref: xtics_draw1995649
Ref: xtics_axis1997535
Ref: xtics_rotate1997857
Ref: xtics_rotate_secondary1998115
Ref: xtics_secondary1998403
Ref: xtics_secondary_axis1998610
Ref: xu_grid1998962
Ref: xy_file1999465
Ref: xyplane1999826
Ref: y_voxel2000342
Ref: yaxis2000592
Ref: yaxis_color2001014
Ref: yaxis_secondary2001494
Ref: yaxis_type2002181
Ref: yaxis_width2002657
Ref: ylabel_draw2003112
Ref: ylabel_secondary2003638
Ref: yrange2004463
Ref: yrange_secondary2005035
Ref: ytics_draw2005847
Ref: ytics_axis2006032
Ref: ytics_rotate2006354
Ref: ytics_rotate_secondary2006612
Ref: ytics_secondary2006900
Ref: ytics_secondary_axis2007102
Ref: yv_grid2007454
Ref: z_voxel2007985
Ref: zaxis2008190
Ref: zaxis_color2008725
Ref: zaxis_type2009306
Ref: zaxis_width2009839
Ref: zlabel_draw2010390
Ref: zlabel_rotate2010953
Ref: zrange2011544
Ref: ztics_draw2012147
Ref: ztics_axis2012337
Ref: ztics_rotate2012659
Ref: bars2012966
Ref: cylindrical2013855
Ref: elevation_grid2014579
Ref: ellipse2015599
Ref: errors2016793
Ref: explicit2018157
Ref: image2020138
Ref: implicit2023926
Ref: label_draw2025843
Ref: mesh2027094
Ref: parametric2028522
Ref: parametric_surface2030005
Ref: points2031258
Ref: polar2037571
Ref: polygon2038445
Ref: quadrilateral2039328
Ref: rectangle2040398
Ref: region2041381
Ref: spherical2042128
Ref: triangle2042859
Ref: tube2043763
Ref: vector2044531
Ref: draw_renderer2045844
Node: Functions and Variables for pictures2046347
Ref: get_pixel2046603
Ref: make_level_picture2046763
Ref: make_rgb_picture2047927
Ref: negative_picture2049050
Ref: picture_equalp2049149
Ref: picturep2049259
Ref: read_xpm2049377
Ref: rgb2level2049469
Ref: take_channel2049606
Node: Functions and Variables for worldmap2050518
Ref: boundaries_array2050796
Ref: numbered_boundaries2051135
Ref: make_poly_continent2051662
Ref: make_poly_country2052276
Ref: make_polygon2052639
Ref: region_boundaries2055729
Ref: region_boundaries_plus2056277
Ref: geomap2056912
Node: Package drawdf2063139
Node: Introduction to drawdf2063352
Node: Functions and Variables for drawdf2065245
Ref: drawdf2065477
Node: Package dynamics2073673
Node: The dynamics package2073943
Node: Graphical analysis of discrete dynamical systems2074625
Ref: chaosgame2074895
Ref: evolution2075657
Ref: evolution2d2076399
Ref: ifs2077433
Ref: orbits2078849
Ref: staircase2080265
Node: Visualization with VTK2081123
Ref: scene2081586
Ref: scene_options2083825
Ref: scene_azimuth2083868
Ref: scene_background2084167
Ref: scene_elevation2084408
Ref: scene_height2084738
Ref: scene_restart2084912
Ref: scene_tstep2085161
Ref: scene_width2085361
Ref: scene_windowname2085532
Ref: scene_windowtitle2085825
Ref: scene_objects2086018
Ref: cone2086061
Ref: cube2086922
Ref: cylinder2087247
Ref: sphere2087880
Ref: object_options2088000
Ref: object_animation2088061
Ref: object_capping2088656
Ref: object_center2088910
Ref: object_color2089263
Ref: object_endphi2089472
Ref: object_endtheta2089926
Ref: object_height2090376
Ref: object_linewidth2090537
Ref: object_opacity2090716
Ref: object_orientation2090971
Ref: object_origin2091341
Ref: object_phiresolution2091613
Ref: object_points2091891
Ref: object_pointsize2092094
Ref: object_position2092270
Ref: object_radius2092487
Ref: object_resolution2092711
Ref: object_scale2092910
Ref: object_startphi2093357
Ref: object_starttheta2093812
Ref: object_surface2094263
Ref: object_thetaresolution2094558
Ref: object_track2094850
Ref: object_xlength2095833
Ref: object_ylength2096029
Ref: object_zlength2096225
Ref: object_wireframe2096421
Node: Package engineering-format2096625
Node: Functions and Variables for engineering-format2097012
Ref: engineering_format_floats2097261
Ref: engineering_format_min2097823
Ref: engineering_format_max2098594
Node: Package ezunits2098838
Node: Introduction to ezunits2099104
Node: Introduction to physical_constants2102745
Ref: physical_constants2102988
Node: Functions and Variables for ezunits2107480
Ref: constvalue2118519
Ref: declare_constvalue2119387
Ref: remove_constvalue2119983
Ref: units2120134
Ref: declare_units2121480
Ref: qty2122228
Ref: declare_qty2123199
Ref: unitp2123880
Ref: declare_unit_conversion2125071
Ref: declare_dimensions2126918
Ref: remove_dimensions2127898
Ref: declare_fundamental_dimensions2128063
Ref: declare_fundamental_units2129433
Ref: dimensions2131112
Ref: fundamental_units2132887
Ref: dimensionless2134239
Ref: natural_unit2135339
Node: Package f902135577
Node: Functions for f902135739
Ref: f90_output_line_length_max2135859
Ref: function_f902137476
Node: Package finance2139536
Node: Introduction to finance2139751
Node: Functions and Variables for finance2140360
Ref: days3602140562
Ref: fv2140867
Ref: pv2141222
Ref: graph_flow2141580
Ref: annuity_pv2141965
Ref: annuity_fv2142376
Ref: geo_annuity_pv2142785
Ref: geo_annuity_fv2143252
Ref: amortization2143716
Ref: arit_amortization2145101
Ref: geo_amortization2146797
Ref: saving2148449
Ref: npv2149845
Ref: irr2150164
Ref: benefit_cost2150566
Node: Package format2151194
Node: Introduction to format2151410
Node: Functions and Variables for format2153780
Ref: Template keywords2156758
Node: Package fractals2171314
Node: Introduction to fractals2171634
Node: Definitions for IFS fractals2172260
Ref: sierpinskiale2172980
Ref: treefale2173352
Ref: fernfale2173641
Node: Definitions for complex fractals2173986
Ref: mandelbrot_set2174212
Ref: julia_set2174706
Ref: julia_parameter2175218
Ref: julia_sin2175492
Node: Definitions for Koch snowflakes2176281
Ref: snowmap2176503
Node: Definitions for Peano maps2177261
Ref: hilbertmap2177545
Ref: sierpinskimap2177792
Node: Package gentran2178047
Node: Introduction to Gentran2178334
Node: Functions for Gentran2178890
Node: Gentran Mode Switches2186387
Node: Gentran Option Variables2188399
Node: Gentran Evaluation Forms2195813
Node: Package ggf2198925
Node: Functions and Variables for ggf2199100
Ref: ggf2200390
Node: Package graphs2202454
Node: Introduction to graphs2202665
Node: Functions and Variables for graphs2203760
Ref: create_graph2204004
Ref: copy_graph2206048
Ref: circulant_graph2206118
Ref: clebsch_graph2206699
Ref: complement_graph2206763
Ref: complete_bipartite_graph2206847
Ref: complete_graph2206959
Ref: cycle_digraph2207044
Ref: cycle_graph2207128
Ref: cuboctahedron_graph2207201
Ref: cube_graph2207280
Ref: dodecahedron_graph2207351
Ref: empty_graph2207425
Ref: flower_snark2207504
Ref: from_adjacency_matrix2207753
Ref: frucht_graph2207860
Ref: graph_product2207922
Ref: graph_union2208226
Ref: grid_graph2208320
Ref: great_rhombicosidodecahedron_graph2208388
Ref: great_rhombicuboctahedron_graph2208494
Ref: grotzch_graph2208594
Ref: heawood_graph2208658
Ref: icosahedron_graph2208722
Ref: icosidodecahedron_graph2208794
Ref: induced_subgraph2208878
Ref: line_graph2209377
Ref: make_graph2209455
Ref: mycielski_graph2210679
Ref: new_graph2210769
Ref: path_digraph2210851
Ref: path_graph2210933
Ref: petersen_graph2211004
Ref: random_bipartite_graph2211204
Ref: random_digraph2211364
Ref: random_regular_graph2211507
Ref: random_graph2211722
Ref: random_graph12211855
Ref: random_network2211961
Ref: random_tournament2212477
Ref: random_tree2212566
Ref: small_rhombicosidodecahedron_graph2212643
Ref: small_rhombicuboctahedron_graph2212749
Ref: snub_cube_graph2212849
Ref: snub_dodecahedron_graph2212917
Ref: truncated_cube_graph2213001
Ref: truncated_dodecahedron_graph2213079
Ref: truncated_icosahedron_graph2213173
Ref: truncated_tetrahedron_graph2213265
Ref: tutte_graph2213357
Ref: underlying_graph2213417
Ref: wheel_graph2213516
Ref: adjacency_matrix2213646
Ref: average_degree2214211
Ref: biconnected_components2214540
Ref: bipartition2215095
Ref: chromatic_index2215569
Ref: chromatic_number2215825
Ref: clear_edge_weight2216153
Ref: clear_vertex_label2216593
Ref: connected_components2217074
Ref: diameter2217407
Ref: edge_coloring2217623
Ref: degree_sequence2218378
Ref: edge_connectivity2218637
Ref: edges2218762
Ref: get_edge_weight2219013
Ref: get_vertex_label2219742
Ref: get_unique_vertex_by_label2220220
Ref: get_all_vertices_by_label2221079
Ref: graph_charpoly2221752
Ref: graph_center2222122
Ref: graph_eigenvalues2222363
Ref: graph_periphery2222722
Ref: graph_size2222977
Ref: graph_order2223223
Ref: girth2223474
Ref: hamilton_cycle2223712
Ref: hamilton_path2224152
Ref: isomorphism2224605
Ref: in_neighbors2225109
Ref: is_biconnected2225485
Ref: is_bipartite2225822
Ref: is_connected2226174
Ref: is_digraph2226456
Ref: is_edge_in_graph2226787
Ref: is_graph2227392
Ref: is_graph_or_digraph2227708
Ref: is_isomorphic2228081
Ref: is_planar2228472
Ref: is_sconnected2228998
Ref: is_vertex_in_graph2229367
Ref: is_tree2229759
Ref: laplacian_matrix2230100
Ref: max_clique2230803
Ref: max_degree2231069
Ref: max_flow2231454
Ref: max_independent_set2232487
Ref: max_matching2232902
Ref: min_degree2233375
Ref: min_edge_cut2233759
Ref: min_vertex_cover2233883
Ref: min_vertex_cut2233979
Ref: minimum_spanning_tree2234109
Ref: neighbors2234488
Ref: odd_girth2234764
Ref: out_neighbors2235124
Ref: planar_embedding2235502
Ref: print_graph2236043
Ref: radius2236744
Ref: set_edge_weight2236954
Ref: set_vertex_label2237440
Ref: shortest_path2238210
Ref: shortest_weighted_path2238667
Ref: strong_components2239284
Ref: topological_sort2239651
Ref: vertex_connectivity2240192
Ref: vertex_degree2240321
Ref: vertex_distance2240423
Ref: vertex_eccentricity2240839
Ref: vertex_in_degree2241123
Ref: vertex_out_degree2241686
Ref: vertices2242069
Ref: vertex_coloring2242295
Ref: wiener_index2242781
Ref: add_edge2243026
Ref: add_edges2243425
Ref: add_vertex2243815
Ref: add_vertices2244167
Ref: connect_vertices2244358
Ref: contract_edge2244917
Ref: remove_edge2245708
Ref: remove_vertex2246079
Ref: dimacs_export2246242
Ref: dimacs_import2246500
Ref: graph6_decode2246597
Ref: graph6_encode2246708
Ref: graph6_export2246818
Ref: graph6_import2246952
Ref: sparse6_decode2247060
Ref: sparse6_encode2247178
Ref: sparse6_export2247295
Ref: sparse6_import2247431
Ref: draw_graph2247584
Ref: draw_graph_program2251266
Ref: show_id2251442
Ref: show_label2251558
Ref: label_alignment_graphs2251680
Ref: show_weight2251853
Ref: vertex_type2251974
Ref: vertex_size2252159
Ref: vertex_color2252222
Ref: show_vertices2252304
Ref: show_vertex_type2252429
Ref: show_vertex_size2252622
Ref: show_vertex_color2252709
Ref: vertex_partition2252824
Ref: vertex_coloring_variable2253058
Ref: edge_color2253230
Ref: edge_width2253307
Ref: edge_type2253367
Ref: show_edges2253496
Ref: show_edge_color2253611
Ref: show_edge_width2253718
Ref: show_edge_type2253799
Ref: edge_partition2253949
Ref: edge_coloring_variable2254149
Ref: redraw2254311
Ref: head_angle_graphs2254500
Ref: head_length_graphs2254629
Ref: spring_embedding_depth2254761
Ref: terminal_graphs2254916
Ref: file_name_graphs2255040
Ref: program2255134
Ref: fixed_vertices2255572
Ref: vertices_to_path2255753
Ref: vertices_to_cycle2255895
Node: Package grobner2256039
Node: Introduction to grobner2256260
Node: Functions and Variables for grobner2257998
Ref: poly_add2260789
Ref: poly_subtract2261040
Ref: poly_multiply2261308
Ref: poly_s_polynomial2261555
Ref: poly_primitive_part2261717
Ref: poly_normalize2261963
Ref: poly_expand2262269
Ref: poly_expt2263746
Ref: poly_content2264043
Ref: poly_pseudo_divide2264247
Ref: poly_exact_divide2264871
Ref: poly_normal_form2265091
Ref: poly_buchberger_criterion2265278
Ref: poly_buchberger2265595
Ref: poly_reduction2266294
Ref: poly_minimization2266502
Ref: poly_normalize_list2266800
Ref: poly_grobner2267042
Ref: poly_reduced_grobner2267209
Ref: poly_depends_p2267392
Ref: poly_elimination_ideal2267530
Ref: poly_colon_ideal2267796
Ref: poly_ideal_intersection2268024
Ref: poly_lcm2268183
Ref: poly_gcd2268301
Ref: poly_grobner_equal2268927
Ref: poly_grobner_subsetp2269600
Ref: poly_grobner_member2269889
Ref: poly_ideal_saturation12270345
Ref: poly_ideal_saturation2270706
Ref: poly_ideal_polysaturation12271097
Ref: poly_ideal_polysaturation2271525
Ref: poly_saturation_extension2271835
Ref: poly_polysaturation_extension2272005
Node: Package hompack2272105
Node: Introduction to hompack2272325
Node: Functions and Variables for hompack2272613
Ref: hompack_polsys2272815
Node: Package impdiff2279969
Node: Functions and Variables for impdiff2280162
Ref: implicit_derivative2280356
Node: Package interpol2280811
Node: Introduction to interpol2281036
Node: Functions and Variables for interpol2281454
Ref: lagrange2281661
Ref: charfun22285806
Ref: linearinterpol2287079
Ref: cspline2289718
Ref: ratinterpol2294284
Node: Package itensor2295693
Node: Introduction to itensor2295913
Node: Functions and Variables for itensor2308660
Ref: dispcon2308927
Ref: entertensor2309195
Ref: changename2309512
Ref: listoftens2309893
Ref: ishow2310429
Ref: indices2310772
Ref: rename2311778
Ref: flipflag2314962
Ref: defcon2315547
Ref: remcon2316560
Ref: contract_Itensor2316823
Ref: indexed_tensor2317316
Ref: components2317551
Ref: remcomps2321678
Ref: showcomps2321809
Ref: idummy2324236
Ref: idummyx2324543
Ref: icounter2324670
Ref: kdelta2324907
Ref: kdels2325705
Ref: levi_civita2326568
Ref: lc2kdt2326824
Ref: lc_l2330271
Ref: lc_u2331345
Ref: canten2331635
Ref: concan2332212
Ref: allsym2332356
Ref: decsym2332714
Ref: remsym2335250
Ref: dispsym2335412
Ref: canform2335617
Ref: itensor_diff2336628
Ref: idiff2338017
Ref: liediff2338730
Ref: rediff2339530
Ref: undiff2339655
Ref: evundiff2340146
Ref: flush2342522
Ref: flushd2342682
Ref: flushnd2342840
Ref: coord2343563
Ref: remcoord2343959
Ref: makebox2344252
Ref: conmetderiv2344510
Ref: simpmetderiv2345384
Ref: flush1deriv2348504
Ref: imetric2348718
Ref: idim2349108
Ref: ichr12349282
Ref: ichr22349638
Ref: icurvature2349926
Ref: covdiff2350501
Ref: lorentz2352437
Ref: igeodesic_coords2352637
Ref: iframes2357862
Ref: ifb2358062
Ref: icc12359066
Ref: icc22359667
Ref: ifc12360307
Ref: ifc22360747
Ref: ifr2361150
Ref: ifri2361280
Ref: ifg2361475
Ref: ifgi2361585
Ref: iframe_bracket_form2361696
Ref: inm2362155
Ref: inmc12362492
Ref: inmc22362859
Ref: ikt12363397
Ref: ikt22363835
Ref: itr2364108
Ref: ~2368679
Ref: |2370245
Ref: extdiff2371632
Ref: hodge2373115
Ref: igeowedge_flag2374615
Ref: tentex2375420
Ref: ic_convert2376900
Node: Package lapack2379656
Node: Introduction to lapack2379869
Node: Functions and Variables for lapack2380197
Ref: dgeev2380394
Ref: dgeqrf2383416
Ref: dgesv2385235
Ref: dgesvd2388693
Ref: dlange2393957
Ref: zlange2393957
Ref: dgemm2394963
Ref: zgeev2400044
Ref: zheev2400277
Node: Package lbfgs2404652
Node: Introduction to lbfgs2404859
Node: Functions and Variables for lbfgs2405876
Ref: lbfgs_func2406068
Ref: lbfgs_nfeval_max2420678
Ref: lbfgs_ncorrections2420952
Node: Package levin2421152
Node: Introduction to levin2421410
Node: Functions and Variables for levin2422818
Ref: levin_u_sum2423037
Ref: bflevin_u_sum2423955
Ref: levin_options2424617
Node: Examples for levin2425775
Node: References for levin2430814
Ref: levin-19732431026
Ref: smith-ford-19792431877
Ref: smith-ford-19822432134
Ref: sidi-20032433123
Ref: bender-orszag2433477
Node: Package lindstedt2433649
Node: Functions and Variables for lindstedt2433853
Ref: Lindstedt2434057
Node: Package linearalgebra2435389
Node: Introduction to linearalgebra2435642
Node: Functions and Variables for linearalgebra2440183
Ref: addmatrices2440415
Ref: blockmatrixp2440927
Ref: columnop2441051
Ref: columnswap2441285
Ref: columnspace2441443
Ref: cholesky2441725
Ref: ctranspose2442036
Ref: diag_matrix2442235
Ref: dotproduct2443210
Ref: eigens_by_jacobi2443418
Ref: get_lu_factors2446534
Ref: hankel2446823
Ref: hessian2447112
Ref: hilbert_matrix2448233
Ref: identfor2448371
Ref: invert_by_lu2448947
Ref: jacobian2449116
Ref: kronecker_product2450066
Ref: locate_matrix_entry2450174
Ref: lu_backsub2451110
Ref: lu_factor2455387
Ref: mat_cond2460765
Ref: mat_norm2461284
Ref: linearalgebra_matrixp2461597
Ref: matrix_size2461965
Ref: mat_fullunblocker2462109
Ref: mat_trace2462280
Ref: mat_unblocker2462513
Ref: nullspace2463884
Ref: nullity2464158
Ref: orthogonal_complement2464259
Ref: polytocompanion2464524
Ref: ptringularize2464814
Ref: rowp2465248
Ref: linalg_rank2465474
Ref: rowswap2465967
Ref: toeplitz2466116
Ref: vandermonde_matrix2466950
Ref: zerofor2467106
Ref: zeromatrixp2467649
Node: Package lsquares2467923
Node: Introduction to lsquares2468154
Node: Functions and Variables for lsquares2468500
Ref: lsquares_estimates2468707
Ref: lsquares_estimates_exact2475164
Ref: lsquares_estimates_approximate2477449
Ref: lsquares_mse2480425
Ref: lsquares_residuals2484755
Ref: lsquares_residual_mse2486893
Ref: plsquares2488966
Node: Package minpack2493104
Node: Introduction to minpack2493328
Node: Functions and Variables for minpack2493673
Ref: minpack_lsquares2493875
Ref: minpack_solve2497031
Node: Package makeOrders2499420
Node: Functions and Variables for makeOrders2499624
Ref: makeOrders_func2499833
Node: Package mnewton2500641
Node: Introduction to mnewton2500868
Node: Functions and Variables for mnewton2501179
Ref: newtonepsilon2501381
Ref: newtonmaxiter2501712
Ref: newtondebug2501925
Ref: mnewton2502096
Node: Package numericalio2504600
Ref: numericalio2504912
Node: Introduction to numericalio2504912
Node: Functions and Variables for plain-text input and output2509147
Ref: read_matrix2509477
Ref: read_array2511132
Ref: read_hashed_array2511983
Ref: read_nested_list2512990
Ref: read_list2513895
Ref: write_data2514811
Node: Functions and Variables for binary input and output2516261
Ref: assume_external_byte_order2516547
Ref: openr_binary2517042
Ref: openw_binary2517224
Ref: opena_binary2517424
Ref: read_binary_matrix2517566
Ref: read_binary_array2517982
Ref: read_binary_list2518459
Ref: write_binary_data2519064
Node: Package odepack2520114
Node: Introduction to ODEPACK2520379
Ref: Introduction to ODEPACK-Footnote-12521624
Node: Getting Started with ODEPACK2521679
Node: Functions and Variables for odepack2526356
Ref: dlsode_init2526563
Ref: dlsode_step2528193
Node: Package operatingsystem2531044
Node: Introduction to operatingsystem2531328
Node: Directory operations2531657
Ref: chdir2531854
Ref: mkdir2531914
Ref: rmdir2531971
Ref: getcurrentdirectory2532028
Node: File operations2532318
Ref: copy_file2532496
Ref: rename_file2532576
Ref: delete_file2532659
Node: Environment operations2532722
Ref: getenv2532885
Node: Package opsubst2533134
Node: Functions and Variables for opsubst2533336
Ref: opsubst_func2533530
Node: Package orthopoly2535812
Node: Introduction to orthogonal polynomials2536065
Ref: Floating point Evaluation2546707
Node: Functions and Variables for orthogonal polynomials2553921
Ref: assoc_legendre_p2554185
Ref: assoc_legendre_q2555914
Ref: chebyshev_t2557421
Ref: chebyshev_u2558740
Ref: gen_laguerre2560176
Ref: hermite2561894
Ref: intervalp2563410
Ref: jacobi_p2563523
Ref: laguerre2564547
Ref: legendre_p2565830
Ref: legendre_q2567509
Ref: orthopoly_recur2568740
Ref: orthopoly_weight2570272
Ref: pochhammer2571017
Ref: spherical_bessel_j2572973
Ref: spherical_bessel_y2574720
Ref: spherical_hankel12576470
Ref: spherical_hankel22576805
Ref: spherical_harmonic2577141
Ref: unit_step2579776
Ref: ultraspherical2580026
Node: Package pslq2581395
Node: Introduction to pslq2581606
Node: Functions and Variables for pslq2582075
Ref: guess_exact_value2582262
Node: Package pytranslate2586512
Node: Introduction to pytranslate2586770
Node: Functions in pytranslate2589350
Node: Extending pytranslate2591819
Node: Package quantum_computing2596959
Node: Introduction to quantum_computing2597232
Node: Functions and Variables for Quantum_Computing2598229
Ref: binlist2598481
Ref: binlist2dec2598989
Ref: CNOT2599123
Ref: controlled2599347
Ref: gate2599913
Ref: gate_matrix2600769
Ref: linsert2601361
Ref: lreplace2601582
Ref: normalize2602003
Ref: qdisplay2602116
Ref: qmatrix2602346
Ref: qmeasure2602820
Ref: qubits2603541
Ref: qswap2603841
Ref: Rx2604046
Ref: Ry2604210
Ref: Rz2604374
Ref: tprod2604538
Ref: toffoli2604661
Node: Package ratpow2604910
Node: Functions and Variables for ratpow2606059
Ref: ratp_hipow2606225
Ref: ratp_lopow2606547
Ref: ratp_coeffs2607564
Ref: ratp_dense_coeffs2607939
Node: Package romberg2608291
Node: Functions and Variables for romberg2608482
Ref: romberg_function2608676
Ref: rombergabs2613472
Ref: rombergit2614014
Ref: rombergmin2614442
Ref: rombergtol2614726
Node: Package simplex2615269
Node: Introduction to simplex2615496
Node: Functions and Variables for simplex2617630
Ref: epsilon_lp2617832
Ref: linear_program2618656
Ref: maximize_lp2619719
Ref: minimize_lp2619978
Ref: nonnegative_lp2623393
Ref: scale_lp2623698
Ref: pivot_count_sx2623892
Ref: pivot_max_sx2624027
Node: Package simplification2624142
Node: Introduction to simplification2624464
Node: Package absimp2624857
Node: Package facexp2625886
Ref: facsum2627177
Ref: nextlayerfactor2629078
Ref: facsum_combine2629776
Ref: factorfacsum2630463
Ref: collectterms2630790
Node: Package functs2632025
Ref: rempart2632183
Ref: wronskian2632417
Ref: tracematrix2633091
Ref: nonzeroandfreeof2633568
Ref: gcdivide2634531
Ref: arithmetic2636214
Ref: geometric2636429
Ref: harmonic2636636
Ref: arithsum2636874
Ref: geosum2637032
Ref: gaussprob2637296
Ref: gd2637467
Ref: agd2637609
Ref: vers2637770
Ref: covers2637897
Ref: exsec2638030
Ref: hav2638157
Ref: combination2638284
Ref: permutation2638460
Node: Package ineq2638651
Node: Package rducon2642683
Ref: reduce_consts2642841
Node: Package scifac2644214
Ref: gcfac2644351
Node: Package solve_rec2645326
Node: Introduction to solve_rec2645561
Node: Functions and Variables for solve_rec2646295
Ref: harmonic_number2646507
Ref: harmonic_to_psi2647316
Ref: reduce_order2647668
Ref: simplify_products2649459
Ref: simplify_sum2649653
Ref: solve_rec2650488
Ref: solve_rec_rat2653466
Ref: product_use_gamma2654332
Ref: summand_to_rec2654579
Node: Package stats2655844
Node: Introduction to stats2656160
Node: Functions and Variables for inference_result2657279
Ref: inference_result2657546
Ref: inferencep2659376
Ref: items_inference2659515
Ref: take_inference2660230
Node: Functions and Variables for stats2662084
Ref: stats_numer2662357
Ref: test_mean2662612
Ref: test_means_difference2666991
Ref: test_variance2671824
Ref: test_variance_ratio2674368
Ref: test_proportion2677121
Ref: test_proportions_difference2680636
Ref: test_sign2684327
Ref: test_signed_rank2686265
Ref: test_rank_sum2689357
Ref: test_normality2692120
Ref: linear_regression2693175
Node: Functions and Variables for special distributions2696857
Ref: pdf_signed_rank2697109
Ref: cdf_signed_rank2697345
Ref: pdf_rank_sum2697585
Ref: cdf_rank_sum2697833
Node: Package stirling2698085
Node: Functions and Variables for stirling2698282
Ref: stirling2698481
Node: Package stringproc2700967
Node: Introduction to String Processing2701270
Node: String Input and Output2704701
Ref: close2705575
Ref: flength2705675
Ref: flush_output2705903
Ref: fposition2706062
Ref: freshline2706520
Ref: get_output_stream_string2706922
Ref: make_string_input_stream2707217
Ref: make_string_output_stream2708014
Ref: newline2708716
Ref: opena2709061
Ref: openr2709334
Ref: openw2710196
Ref: printf2710549
Ref: readbyte2715801
Ref: readchar2716697
Ref: readline2716912
Ref: sprint2717127
Ref: writebyte2717917
Node: Characters2719298
Ref: adjust_external_format2719491
Ref: alphacharp2721730
Ref: alphanumericp2722727
Ref: ascii2722951
Ref: cequal2723477
Ref: cequalignore2723590
Ref: cgreaterp2723864
Ref: cgreaterpignore2724010
Ref: charp2724290
Ref: cint2724408
Ref: clessp2725326
Ref: clesspignore2725466
Ref: constituent2725740
Ref: digitcharp2726366
Ref: lowercasep2726520
Ref: newline_variable2726659
Ref: space_variable2726732
Ref: tab_variable2726780
Ref: unicode2726824
Ref: unicode_to_utf82728831
Ref: uppercasep2729390
Ref: us_ascii_only2729530
Ref: utf8_to_unicode2730472
Node: String Processing2730686
Ref: charat2730942
Ref: charlist2731252
Ref: eval_string2731425
Ref: parse_string2732040
Ref: scopy2732677
Ref: sdowncase2732759
Ref: sequal2732987
Ref: sequalignore2733130
Ref: sexplode2733408
Ref: simplode2733497
Ref: sinsert2734181
Ref: sinvertcase2734702
Ref: slength2735156
Ref: smake2735242
Ref: smismatch2735439
Ref: split2735914
Ref: sposition2736716
Ref: sremove2736963
Ref: sremovefirst2737742
Ref: sreverse2738077
Ref: ssearch2738220
Ref: ssort2738888
Ref: ssubst2739590
Ref: ssubstfirst2740524
Ref: strim2740881
Ref: striml2741232
Ref: strimr2741345
Ref: stringp2741459
Ref: substring2741564
Ref: supcase2742161
Ref: tokens2742649
Node: Octets and Utilities for Cryptography2743498
Ref: base642743706
Ref: base64_decode2744697
Ref: crc24sum2745149
Ref: md5sum2746918
Ref: mgf1_sha12748809
Ref: number_to_octets2749731
Ref: octets_to_number2750194
Ref: octets_to_oid2750363
Ref: octets_to_string2750767
Ref: oid_to_octets2752718
Ref: sha1sum2752869
Ref: sha256sum2754083
Ref: string_to_octets2754836
Node: Regular Expressions2755528
Node: Introduction to Regular Expressions2755752
Node: Functions and Variables2756410
Ref: regex_compile2756596
Ref: regex_match_pos2757043
Ref: regex_match2758663
Ref: regex_split2761866
Ref: regex_subst_first2762187
Ref: regex_subst2762937
Ref: string_to_regex2763248
Node: Package sym2763965
Node: Introduction to Symmetries2764188
Node: Functions and Variables for Symmetries2765734
Ref: comp2pui2765989
Ref: ele2pui2766588
Ref: ele2comp2766797
Ref: elem2767006
Ref: mon2schur2768443
Ref: multi2769582
Ref: multi_pui2770312
Ref: pui2770760
Ref: pui2comp2772091
Ref: pui2ele2773350
Ref: puireduc2773740
Ref: schur2comp2774423
Ref: cont2part2775143
Ref: contract2775585
Ref: explose2776422
Ref: part2cont2776686
Ref: partpol2777040
Ref: tcontract2777325
Ref: tpartpol2777538
Ref: direct2777803
Ref: multi_orbit2781474
Ref: multsym2782147
Ref: orbit2782965
Ref: pui_direct2783514
Ref: kostka2785748
Ref: lgtreillis2785994
Ref: ltreillis2786238
Ref: treillis2786512
Ref: treinat2786739
Ref: ele2polynome2787361
Ref: polynome2ele2788178
Ref: prodrac2788767
Ref: pui2polynome2789013
Ref: somrac2789671
Ref: resolvante2789961
Ref: resolvante_alternee12797312
Ref: resolvante_bipartite2797684
Ref: resolvante_diedrale2798243
Ref: resolvante_klein2798933
Ref: resolvante_klein32799258
Ref: resolvante_produit_sym2799583
Ref: resolvante_unitaire2800656
Ref: resolvante_vierer2800979
Ref: multinomial2801345
Ref: permut2801619
Node: Package to_poly_solve2801702
Node: Functions and Variables for to_poly_solve2801916
Ref: complex_number_p2809816
Ref: compose_functions2810704
Ref: dfloat2812712
Ref: elim2813773
Ref: elim_allbut2816375
Ref: eliminate_using2817097
Ref: fourier_elim2818538
Ref: isreal_p2821896
Ref: new_variable2823224
Ref: nicedummies2824968
Ref: real_imagpart_to_conjugate2827059
Ref: rectform_log_if_constant2827796
Ref: simp_inequality2828814
Ref: standardize_inverse_trig2830762
Ref: subst_parallel2831273
Ref: to_poly2833384
Ref: %union2849894
Node: Package trigtools2851730
Node: Introduction to trigtools2851978
Ref: Introduction to trigtools-Footnote-12852851
Node: Functions and Variables for trigtools2853016
Node: Convert to sin and cos2853504
Ref: c2sin2853750
Ref: c2cos2853776
Node: Convert to Trigonometric Functions2856909
Ref: c2trig2857173
Node: Convert to Hyperbolic Functions2859881
Ref: c2hyp2860153
Node: Factor Sums of sin and cos Functions2860886
Ref: trigfactor2861163
Node: Solve Trigonometric Equations2865960
Ref: trigsolve2866229
Node: Evaluation of Trigonometric Functions2875957
Ref: trigvalue2876229
Ref: trigeval2876530
Node: Contract atan Functions2884104
Ref: atan_contract2884310
Node: References2886316
Node: Package unit2886497
Node: Introduction to Units2886708
Node: Functions and Variables for Units2890422
Ref: setunits2890615
Ref: uforget2895525
Ref: convert2896839
Ref: usersetunits2900270
Ref: metricexpandall2908792
Node: Package wrstcse2909920
Node: Introduction to wrstcse2910142
Node: Functions and Variables for wrstcse2913765
Ref: wc_typicalvalues2913969
Ref: wc_inputvalueranges2914963
Ref: wc_systematic2917348
Ref: wc_ewc_simplify2919234
Ref: wc_montecarlo2925495
Ref: wc_mintypmax2926665
Ref: wc_mintypmax_percent2928009
Ref: wc_mintypmax_rss2929342
Ref: wc_mintypmax_rss_percent2931427
Ref: wc_defaultsigma2932810
Ref: wc_defaultvaluespertol2934558
Ref: wc_tolappend2936850
Ref: wc_mintypmax2tol2938909
Ref: wc_inputvalueassumptions2940234
Ref: wc_tolassumptions2941894
Node: Package zeilberger2943563
Node: Introduction to zeilberger2943811
Node: Functions and Variables for zeilberger2945780
Ref: AntiDifference2945999
Ref: Gosper2946176
Ref: GosperSum2946399
Ref: parGosper2948329
Ref: Zeilberger2948650
Node: General global variables2949327
Ref: MAX_ORD2949537
Ref: simplified_output2949669
Ref: linear_solver2949870
Ref: warnings2950055
Ref: Gosper_in_Zeilberger2950230
Ref: trivial_solutions2950482
Node: Variables related to the modular test2950705
Ref: mod_test2950894
Ref: modular_linear_solver2951069
Ref: ev_point2951244
Ref: mod_big_prime2951434
Ref: mod_threshold2951589
Node: Function and Variable Index2951752

End Tag Table
