This is maxima.info, produced by gtexi2any version 7.1 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: 265
maxima.info-2: 1005998
maxima.info-3: 2002960

Tag Table:
(Indirect)
Node: Top265
Node: Introduction to Maxima18606
Node: Bug Detection and Reporting25414
Node: Functions and Variables for Bug Detection and Reporting25656
Ref: bug_report25896
Ref: build_info26335
Ref: run_testsuite28751
Ref: testsuite_files31220
Node: Help32067
Node: Documentation32248
Node: Functions and Variables for Help33256
Ref: apropos33426
Ref: demo35209
Ref: describe36446
Ref: output_format_for_help39568
Ref: browser40329
Ref: url_base41331
Ref: example41929
Ref: manual_demo43366
Node: Command Line43576
Node: Introduction to Command Line43834
Node: Functions and Variables for Command Line44232
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Ref: _46302
Ref: %47821
Ref: %%48449
Ref: %th50101
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Ref: read67193
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Ref: reset68449
Ref: showtime68930
Ref: to_lisp69304
Ref: eval_string_lisp70414
Ref: values71120
Node: Functions and Variables for Display72225
Ref: %edispflag72439
Ref: absboxchar73067
Ref: declare_index_properties73525
Ref: get_index_properties77133
Ref: remove_index_properties77310
Ref: display_index_separator77604
Ref: disp82856
Ref: display83548
Ref: display2d84432
Ref: display_format_internal86209
Ref: with_default_2d_display86919
Ref: display2d_unicode87368
Ref: dispterms88195
Ref: expt89184
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Ref: pfeformat102596
Ref: powerdisp103437
Ref: print104246
Ref: sqrtdispflag105625
Ref: stardisp105790
Ref: ttyoff105970
Node: Data Types and Structures106340
Node: Numbers106587
Node: Introduction to Numbers106809
Node: Functions and Variables for Numbers107573
Ref: bfloat107769
Ref: bfloatp109940
Ref: bftorat110052
Ref: bftrunc111195
Ref: bigfloat_bits111506
Ref: bigfloat_eps111998
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Ref: floatnump118268
Ref: fpprec118393
Ref: fpprintprec118676
Ref: integerp119754
Ref: integer_decode_float120704
Ref: is_power_of_two123224
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Ref: nonnegintegerp125373
Ref: numberp125486
Ref: numer126705
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Ref: numerval128578
Ref: oddp129055
Ref: ratepsilon129276
Ref: rationalize129564
Ref: ratnump131041
Ref: scale_float131187
Ref: unit_in_last_place132598
Node: Strings134629
Node: Introduction to Strings134835
Node: Functions and Variables for Strings136958
Ref: concat137154
Ref: sconcat138639
Ref: string139295
Ref: stringdisp139602
Node: Constants140388
Node: Functions and Variables for Constants140570
Ref: %catalan140760
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Ref: least_negative_normalized_float143356
Ref: least_positive_float143586
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Ref: minf144181
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Ref: most_positive_float144399
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Node: Lists148295
Node: Introduction to Lists148531
Node: Functions and Variables for Lists149400
Ref: [149631
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Ref: seventh180150
Ref: sixth180279
Ref: sort180406
Ref: sublist186482
Ref: sublist_indices186812
Ref: tenth187910
Ref: third188038
Ref: tree_reduce188165
Ref: unique189527
Ref: xreduce189914
Node: Performance considerations for Lists191663
Node: Arrays193930
Ref: hashed array194095
Ref: hashed arrays194095
Ref: undeclared array194095
Ref: undeclared arrays194095
Node: Functions and Variables for Arrays195307
Ref: array195482
Ref: arrayapply196326
Ref: arrayinfo196597
Ref: arraymake201119
Ref: arrays202924
Ref: arraysetapply204113
Ref: fillarray204339
Ref: listarray206518
Ref: make_array210315
Ref: rearray212497
Ref: remarray212879
Ref: subvar213462
Ref: subvarp214202
Ref: use_fast_arrays214325
Ref: translate_fast_arrays215031
Node: Structures215507
Node: Introduction to Structures215709
Node: Functions and Variables for Structures217380
Ref: structures217591
Ref: defstruct217719
Ref: new219300
Node: Expressions221724
Node: Introduction to Expressions221993
Node: Nouns and Verbs223588
Node: Identifiers226019
Node: Inequality228315
Node: Functions and Variables for Expressions228634
Ref: alias228829
Ref: aliases229058
Ref: allbut229331
Ref: args230371
Ref: atom231541
Ref: box231819
Ref: boxchar233996
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Ref: operatorp254241
Ref: option_opsubst254682
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Ref: orderless256108
Ref: ordergreatp256946
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Ref: part260785
Ref: partition262310
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Ref: rembox267214
Ref: reveal269729
Ref: sqrtdenest272309
Ref: sublis273183
Ref: sublis_apply_lambda273660
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Ref: subst274563
Ref: substinpart278063
Ref: substpart280530
Ref: symbolp281723
Ref: unorder281857
Ref: verbify283302
Node: Operators283693
Node: Introduction to operators283998
Node: Arithmetic operators288269
Ref: +288449
Ref: -288449
Ref: *288449
Ref: /288449
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Ref: **295566
Ref: ^^296367
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Node: Logical operators300459
Ref: and300628
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Node: Operators for Equations303355
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Ref: infix321364
Ref: matchfix325670
Ref: function_nary330387
Ref: nofix331002
Ref: postfix331571
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Node: Evaluation332466
Node: Functions and Variables for Evaluation332637
Ref: quote332828
Ref: quote-quote337500
Ref: ev343005
Ref: eval352037
Ref: evflag352595
Ref: evfun355166
Ref: infeval358095
Ref: noeval358480
Ref: nouns358706
Ref: pred359020
Node: Simplification359395
Node: Introduction to Simplification359624
Node: Functions and Variables for Simplification369981
Ref: additive370208
Ref: antisymmetric371167
Ref: combine372224
Ref: commutative372810
Ref: demoivre373567
Ref: function_distrib374294
Ref: distribute_over375203
Ref: domain377480
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Ref: expandwrt382694
Ref: expandwert_denom383274
Ref: expandwrt_factored383696
Ref: expon384056
Ref: exponentialize384349
Ref: expop384951
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Ref: linear385669
Ref: maxnegex387397
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Ref: resimplify399418
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Ref: symmetric402605
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Node: Elementary Functions404093
Node: Functions for Numbers404443
Ref: abs404614
Ref: ceiling408032
Ref: entier411793
Ref: floor412009
Ref: fix413945
Ref: hstep414010
Ref: lmax414305
Ref: lmin414501
Ref: max414697
Ref: min416514
Ref: round418324
Ref: signum418663
Ref: truncate419452
Node: Functions for Complex Numbers419778
Ref: cabs419997
Ref: carg423951
Ref: conjugate425884
Ref: imagpart426406
Ref: polarform427010
Ref: realpart427684
Ref: rectform428268
Node: Combinatorial Functions428727
Ref: !!428955
Ref: binomial429702
Ref: factcomb430707
Ref: !431645
Ref: factorial431645
Ref: factlim435300
Ref: factorial_expand435492
Ref: genfact435744
Ref: minfactorial435987
Ref: sumsplitfact436534
Node: Root Exponential and Logarithmic Functions437548
Ref: %e_to_numlog437810
Ref: %emode438251
Ref: %enumer439905
Ref: exp440991
Ref: li442005
Ref: log445558
Ref: logabs447103
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Ref: logconcoeffp448096
Ref: logcontract448533
Ref: logexpand449570
Ref: lognegint452822
Ref: logsimp452994
Ref: plog453159
Ref: sqrt453306
Node: Trigonometric Functions453468
Node: Introduction to Trigonometric453771
Node: Functions and Variables for Trigonometric454901
Node: Trigonometric and Hyperbolic Functions455302
Ref: acos455608
Ref: acosh455809
Ref: acot456022
Ref: acoth456226
Ref: acsc456442
Ref: acsch456645
Ref: asec456860
Ref: asech457061
Ref: asin457274
Ref: asinh457473
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Ref: atan2457914
Ref: atanh458359
Ref: cos458573
Ref: cosh458769
Ref: cot458977
Ref: coth459176
Ref: csc459387
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Ref: sec459795
Ref: sech459991
Ref: sin460199
Ref: sinh460393
Ref: tan460599
Ref: tanh460796
Node: Options Controlling Simplification461005
Ref: %piargs461303
Ref: %iargs463289
Ref: halfangles464333
Ref: trigsign466231
Node: Explicit Simplifications Using Identities466505
Ref: trigexpand466799
Ref: trigexpandplus468261
Ref: trigexpandtimes468617
Ref: triginverses468983
Ref: trigreduce469510
Ref: trigsimp470140
Ref: trigrat470553
Node: Additional Functions473427
Ref: atrig1473636
Ref: ntrig474033
Node: Random Numbers474343
Ref: make_random_state474487
Ref: set_random_state475262
Ref: random475411
Node: Maxima's Database477076
Node: Introduction to Maxima's Database477394
Node: Functions and Variables for Properties477633
Ref: alphabetic477898
Ref: bindtest478552
Ref: constant479132
Ref: constantp479708
Ref: declare480996
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Node: Functions and Variables for Facts499090
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Node: Plotting526598
Node: Introduction to Plotting526904
Node: Plotting Formats530191
Node: Functions and Variables for Plotting534085
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Ref: plot2d542328
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Node: Functions and Variables for Fortran Output640586
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Node: Polynomials643924
Node: Introduction to Polynomials644242
Node: Functions and Variables for Polynomials647406
Ref: algebraic647665
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Ref: gcd672558
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Ref: gcfactor676741
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Ref: showratvars714707
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Node: Introduction to algebraic extensions718524
Node: Functions and Variables for algebraic extensions722020
Ref: algfac722270
Ref: algnorm722929
Ref: algtrace723466
Ref: bdiscr723839
Ref: primelmt724516
Ref: splitfield726894
Node: Special Functions728863
Node: Introduction to Special Functions729310
Node: Bessel Functions731503
Ref: bessel_j731683
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Ref: bessel_k734141
Ref: hankel_1734900
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Node: Airy Functions741458
Ref: airy_ai742447
Ref: airy_dai742694
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Node: Gamma and Factorial Functions743223
Ref: bffac743592
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Ref: gamma_incomplete_regularized750625
Ref: gamma_incomplete_generalized751228
Ref: gamma_expand751913
Ref: gammalim753618
Ref: makegamma754034
Ref: beta754733
Ref: beta_incomplete_regularized765493
Ref: beta_expand775479
Ref: polygamma775979
Ref: maxpsiposint777895
Ref: maxpsinegint778736
Ref: maxpsifracnum780159
Ref: maxpsifracdenom781231
Ref: makefact782313
Node: Exponential Integrals783543
Ref: expintegral_e1783926
Ref: expintegral_e785073
Ref: expintegral_si785464
Ref: expintegral_ci785803
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Ref: expintrep786938
Ref: expintexpand797456
Node: Error Function798596
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Ref: erfc799382
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Ref: erf_generalized799813
Ref: fresnel_c800074
Ref: fresnel_s800621
Ref: erf_representation801163
Ref: hypergeometric_representation805576
Node: Struve Functions808330
Ref: struve_h808964
Ref: struve_l809485
Node: Hypergeometric Functions809961
Ref: hgfred814513
Node: Parabolic Cylinder Functions816716
Ref: parabolic_cylinder_d817242
Node: Functions and Variables for Special Functions817823
Ref: kbateman818639
Node: Elliptic Functions819252
Node: Introduction to Elliptic Functions and Integrals819561
Node: Functions and Variables for Elliptic Functions823876
Ref: jacobi_sn824336
Ref: jacobi_cn824417
Ref: jacobi_dn824498
Ref: jacobi_ns824579
Ref: jacobi_sc824672
Ref: jacobi_sd824771
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Ref: jacobi_ds825254
Ref: jacobi_dc825353
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Node: Functions and Variables for Elliptic Integrals832925
Ref: elliptic_f833186
Ref: elliptic_e833403
Ref: elliptic_eu833640
Ref: elliptic_pi834017
Ref: elliptic_kc834196
Ref: elliptic_ec834486
Ref: carlson_rc834775
Ref: carlson_rd835666
Ref: carlson_rf836300
Ref: carlson_rj836906
Node: Limits838099
Node: Functions and Variables for Limits838266
Ref: lhospitallim838439
Ref: limit838685
Ref: limsubst840834
Ref: tlimit841121
Ref: tlimswitch841373
Ref: gruntz841870
Node: Differentiation843277
Node: Functions and Variables for Differentiation843464
Ref: antid843682
Ref: antidiff846136
Ref: at848424
Ref: atomgrad851546
Ref: atvalue851690
Ref: del854337
Ref: delta855097
Ref: dependencies855460
Ref: depends857183
Ref: derivabbrev859911
Ref: derivdegree860184
Ref: derivlist860800
Ref: derivsubst860959
Ref: diff861183
Ref: symbol_diff864634
Ref: express864800
Ref: gradef867565
Ref: gradefs869637
Node: Integration869936
Node: Introduction to Integration870216
Node: Functions and Variables for Integration871232
Ref: changevar871479
Ref: dblint873819
Ref: defint876360
Ref: erfflag876939
Ref: ilt877177
Ref: intanalysis879506
Ref: integrate880644
Ref: integration_constant889368
Ref: integration_constant_counter890248
Ref: integrate_use_rootsof891610
Ref: laplace893867
Ref: ldefint898102
Ref: pwilt898851
Ref: potential899785
Ref: prefer_d900345
Ref: residue901365
Ref: risch902046
Ref: specint903089
Ref: tldefint907553
Node: Introduction to QUADPACK907676
Ref: Introduction to QUADPACK-Footnote-1911453
Ref: Introduction to QUADPACK-Footnote-2911519
Ref: Introduction to QUADPACK-Footnote-3911585
Ref: Introduction to QUADPACK-Footnote-4911629
Ref: Introduction to QUADPACK-Footnote-5911691
Ref: Introduction to QUADPACK-Footnote-6911731
Ref: Introduction to QUADPACK-Footnote-7911773
Node: Functions and Variables for QUADPACK911958
Ref: quad_qag912160
Ref: quad_qags914959
Ref: quad_qagi917196
Ref: quad_qawc919731
Ref: quad_qawf923156
Ref: quad_qawo925869
Ref: quad_qaws928868
Ref: quad_qagp931663
Ref: quad_control934539
Node: Equations935153
Node: Functions and Variables for Equations935385
Ref: %rnum935573
Ref: %rnum_list935845
Ref: algepsilon936923
Ref: algexact937029
Ref: algsys937666
Ref: allroots942566
Ref: bfallroots944981
Ref: backsubst945400
Ref: breakup946134
Ref: dimension949444
Ref: dispflag949704
Ref: funcsolve950031
Ref: globalsolve950993
Ref: ieqn952667
Ref: ieqnprint956789
Ref: lhs957501
Ref: linsolve959152
Ref: linsolvewarn962359
Ref: linsolve_params962541
Ref: multiplicities962936
Ref: nroots963154
Ref: nthroot963572
Ref: polyfactor963929
Ref: programmode964285
Ref: realonly964793
Ref: realroots964972
Ref: rhs967203
Ref: rootsconmode968848
Ref: rootscontract969038
Ref: rootsepsilon971794
Ref: solve971998
Ref: solvedecomposes979338
Ref: solveexplicit979526
Ref: solvefactors979784
Ref: solvenullwarn980045
Ref: solveradcan980366
Ref: solvetrigwarn980633
Node: Examples for algsys980897
Node: References for equations1005998
Ref: beyer1006164
Ref: allgower1006398
Node: Differential Equations1006691
Node: Introduction to Differential Equations1006950
Node: Functions and Variables for Differential Equations1007577
Ref: bc21007846
Ref: desolve1008470
Ref: ic11010601
Ref: ic21011055
Ref: ode21011695
Ref: method1016009
Ref: %c1016131
Ref: %k11016260
Ref: %k21016398
Ref: yp1016537
Node: Numerical1016682
Node: Introduction to fast Fourier transform1017152
Node: Functions and Variables for fast Fourier transform1017737
Ref: polartorect1018000
Ref: recttopolar1018638
Ref: inverse_fft1019356
Ref: fft1022006
Ref: real_fft1026634
Ref: inverse_real_fft1027415
Ref: bf_inverse_fft1027788
Ref: bf_fft1028012
Ref: bf_real_fft1028220
Ref: bf_inverse_real_fft1028414
Node: Functions and Variables for FFTPACK51028607
Ref: fftpack5_fft1029319
Ref: fftpack5_inverse_fft1031617
Ref: fftpack5_real_fft1031787
Ref: fftpack5_inverse_real_fft1032647
Node: Functions for numerical solution of equations1033083
Ref: horner1033391
Ref: find_root1034539
Ref: bf_find_root1034539
Ref: find_root_error1034539
Ref: find_root_abs1034539
Ref: find_root_rel1034539
Ref: newton1038723
Node: Introduction to numerical solution of differential equations1040060
Node: Functions for numerical solution of differential equations1041377
Ref: plotdf1041679
Ref: rk1052203
Node: Matrices and Linear Algebra1055737
Node: Introduction to Matrices and Linear Algebra1056026
Node: Dot1056385
Node: Matrices1057933
Node: Vectors1059434
Node: eigen1060570
Node: Functions and Variables for Matrices and Linear Algebra1061423
Ref: addcol1061717
Ref: addrow1061915
Ref: adjoint1062110
Ref: augcoefmatrix1062261
Ref: cauchy_matrix1062925
Ref: charpoly1064335
Ref: coefmatrix1065969
Ref: col1066417
Ref: columnvector1068832
Ref: covect1068832
Ref: copymatrix1069796
Ref: determinant1070266
Ref: detout1070629
Ref: diagmatrix1071631
Ref: doallmxops1072132
Ref: domxexpt1072419
Ref: domxmxops1073740
Ref: domxnctimes1074018
Ref: dontfactor1074187
Ref: doscmxops1074630
Ref: doscmxplus1074783
Ref: dot0nscsimp1074997
Ref: dot0simp1075206
Ref: dot1simp1075406
Ref: dotassoc1075604
Ref: dotconstrules1075769
Ref: dotdistrib1076099
Ref: dotexptsimp1076273
Ref: dotident1076437
Ref: dotscrules1076548
Ref: echelon1076774
Ref: eigenvalues1078246
Ref: eivals1078246
Ref: eigenvectors1080015
Ref: eivects1080015
Ref: ematrix1085001
Ref: entermatrix1085176
Ref: genmatrix1086558
Ref: gramschmidt1089353
Ref: ident1091891
Ref: innerproduct1091963
Ref: inprod1091963
Ref: invert_by_adjoint1092446
Ref: invert1092690
Ref: list_matrix_entries1093856
Ref: lmxchar1094084
Ref: matrix1094724
Ref: matrixexp1100930
Ref: matrixmap1101361
Ref: matrixp1101547
Ref: matrix_element_add1101650
Ref: matrix_element_mult1102974
Ref: matrix_element_transpose1104968
Ref: mattrace1107224
Ref: minor1107513
Ref: ncharpoly1107658
Ref: newdet1108477
Ref: permanent1108652
Ref: rank1108926
Ref: ratmx1109203
Ref: row1109818
Ref: rmxchar1111461
Ref: scalarmatrixp1111711
Ref: scalefactors1112196
Ref: setelmx1113283
Ref: similaritytransform1113520
Ref: simtran1113520
Ref: sparse1114802
Ref: submatrix1115030
Ref: transpose1115344
Ref: triangularize1115750
Ref: uniteigenvectors1116816
Ref: ueivects1116816
Ref: unitvector1118155
Ref: uvect1118155
Ref: vectorpotential1118400
Ref: vectorsimp1118732
Ref: vect_cross1120219
Ref: zeromatrix1120449
Node: Package affine1120554
Node: Introduction to Affine1120781
Node: Functions and Variables for Affine1121040
Ref: fast_linsolve1121237
Ref: grobner_basis1121921
Ref: set_up_dot_simplifications1122521
Ref: declare_weights1123443
Ref: nc_degree1123694
Ref: dotsimp1123866
Ref: fast_central_elements1124118
Ref: check_overlaps1124539
Ref: mono1125191
Ref: monomial_dimensions1125437
Ref: extract_linear_equations1125607
Ref: list_nc_monomials1126003
Ref: all_dotsimp_denoms1126301
Node: Package itensor1126671
Node: Introduction to itensor1126890
Node: Functions and Variables for itensor1139785
Ref: dispcon1140052
Ref: entertensor1140328
Ref: changename1140649
Ref: listoftens1141034
Ref: ishow1141570
Ref: indices1141913
Ref: rename1142923
Ref: flipflag1146147
Ref: defcon1146772
Ref: remcon1147813
Ref: contract_Itensor1148080
Ref: indexed_tensor1148593
Ref: components1148844
Ref: remcomps1153031
Ref: showcomps1153166
Ref: idummy1155605
Ref: idummyx1155924
Ref: icounter1156059
Ref: kdelta1156308
Ref: kdels1157134
Ref: levi_civita1157997
Ref: lc2kdt1158253
Ref: lc_l1161720
Ref: lc_u1162806
Ref: canten1163112
Ref: concan1163717
Ref: allsym1163865
Ref: decsym1164243
Ref: remsym1166819
Ref: dispsym1166981
Ref: canform1167190
Ref: itensor_diff1168237
Ref: idiff1169654
Ref: liediff1170407
Ref: rediff1171207
Ref: undiff1171336
Ref: evundiff1171835
Ref: flush1174235
Ref: flushd1174395
Ref: flushnd1174553
Ref: coord1175276
Ref: remcoord1175688
Ref: makebox1175993
Ref: conmetderiv1176263
Ref: simpmetderiv1177141
Ref: flush1deriv1180293
Ref: imetric1180515
Ref: idim1180921
Ref: ichr11181095
Ref: ichr21181459
Ref: icurvature1181747
Ref: covdiff1182326
Ref: lorentz1184270
Ref: igeodesic_coords1184470
Ref: iframes1189819
Ref: ifb1190031
Ref: icc11191047
Ref: icc21191688
Ref: ifc11192368
Ref: ifc21192808
Ref: ifr1193215
Ref: ifri1193353
Ref: ifg1193548
Ref: ifgi1193666
Ref: iframe_bracket_form1193785
Ref: inm1194264
Ref: inmc11194609
Ref: inmc21194984
Ref: ikt11195538
Ref: ikt21195984
Ref: itr1196265
Ref: ~1200856
Ref: |1202434
Ref: extdiff1203837
Ref: hodge1205324
Ref: igeowedge_flag1206824
Ref: tentex1207657
Ref: ic_convert1209165
Node: Package ctensor1211981
Node: Introduction to ctensor1212201
Node: Functions and Variables for ctensor1216666
Ref: csetup1216933
Ref: cmetric1217152
Ref: ct1218131
Ref: init1224436
Ref: christof1225845
Ref: ricci1226792
Ref: uricci1227078
Ref: scurvature1227639
Ref: einstein1227800
Ref: leinstein1228435
Ref: riemann1228855
Ref: lriemann1230162
Ref: uriemann1230657
Ref: rinvariant1230859
Ref: weyl1231110
Ref: ctaylor1232215
Ref: frame1237766
Ref: nptetrad1238376
Ref: psi1239090
Ref: petrov1240408
Ref: contortion1245844
Ref: nonmetricity1245962
Ref: ctransform1246149
Ref: findde1246550
Ref: cograd1248908
Ref: contragrad1249110
Ref: ctensor_dscalar1250248
Ref: checkdiv1251151
Ref: cgeodesic1251606
Ref: bdvac1251915
Ref: invariant11252319
Ref: invariant21252529
Ref: bimetric1252795
Ref: diagmatrixp1253047
Ref: symmetricp1253197
Ref: ntermst1253545
Ref: cdisplay1253915
Ref: deleten1267463
Ref: dim1267652
Ref: diagmetric1267918
Ref: ctrgsimp1268397
Ref: cframe_flag1268598
Ref: ctorsion_flag1269046
Ref: cnonmet_flag1269295
Ref: ctayswitch1269586
Ref: ctayvar1269869
Ref: ctaypov1269994
Ref: ctaypt1270125
Ref: gdet1270267
Ref: ratchristof1270425
Ref: rateinstein1270529
Ref: ratriemann1270787
Ref: ratweyl1271081
Ref: lfg1271358
Ref: ufg1271556
Ref: riem1271711
Ref: lriem1272020
Ref: uriem1272106
Ref: ric1272196
Ref: uric1272275
Ref: lg1272358
Ref: ug1272518
Ref: weyl_variable1272604
Ref: fb1272672
Ref: kinvariant1272760
Ref: np1272850
Ref: npi1272933
Ref: tr1273577
Ref: kt1273683
Ref: nm1273774
Ref: nmc1273862
Ref: tensorkill1273969
Ref: ct_coords1274136
Node: Package atensor1277573
Node: Introduction to atensor1277802
Node: Functions and Variables for atensor1281874
Ref: init_atensor1282076
Ref: atensimp1284732
Ref: alg_type1285156
Ref: adim1285333
Ref: aform1285546
Ref: asymbol1285737
Ref: sf1285823
Ref: af1286118
Ref: av1286419
Ref: abasep1287452
Node: Sums Products and Series1287720
Node: Functions and Variables for Sums and Products1288146
Ref: bashindices1288419
Ref: lsum1288864
Ref: intosum1289555
Ref: simpproduct1290078
Ref: product1290504
Ref: simpsum1293066
Ref: sum1293469
Ref: sumcontract1298429
Ref: sumexpand1299030
Node: Introduction to Series1299993
Node: Functions and Variables for Series1300580
Ref: cauchysum1300826
Ref: deftaylor1302131
Ref: maxtayorder1303485
Ref: niceindices1303740
Ref: niceindicespref1305211
Ref: nusum1306269
Ref: pade1308433
Ref: powerseries1311523
Ref: psexpand1313465
Ref: revert1313950
Ref: taylor1315835
Ref: taylordepth1323896
Ref: taylorinfo1324161
Ref: taylorp1325063
Ref: taylor_logexpand1325177
Ref: taylor_order_coefficients1325810
Ref: taylor_simplifier1326108
Ref: taylor_truncate_polynomials1326248
Ref: taytorat1326559
Ref: trunc1326763
Ref: unsum1327336
Ref: verbose1328560
Node: Introduction to Fourier series1328706
Node: Functions and Variables for Fourier series1329202
Ref: equalp1329492
Ref: remfun1329682
Ref: funp1330029
Ref: absint1330387
Ref: fourier1331049
Ref: foursimp1331199
Ref: sinnpiflag1331381
Ref: cosnpiflag1331471
Ref: fourexpand1331561
Ref: fourcos1331816
Ref: foursin1331952
Ref: totalfourier1332086
Ref: fourint1332220
Ref: fourintcos1332380
Ref: forintsin1332515
Node: Functions and Variables for Poisson series1332648
Ref: intopois1332899
Ref: outopois1332972
Ref: poisdiff1333339
Ref: poisexpt1333497
Ref: poisint1333628
Ref: poislim1333813
Ref: poismap1334113
Ref: poisplus1334431
Ref: poissimp1334525
Ref: poisson1334636
Ref: poissubst1334751
Ref: poistimes1335674
Ref: poistrim1335771
Ref: printpois1336158
Node: Number Theory1336349
Node: Functions and Variables for Number Theory1336546
Ref: bern1336754
Ref: bernpoly1337524
Ref: bfzeta1337626
Ref: bfhzeta1337823
Ref: burn1338437
Ref: solve_congruences1339380
Ref: cf1340384
Ref: cfdisrep1343384
Ref: cfexpand1344077
Ref: cflength1344718
Ref: divsum1345345
Ref: euler1345917
Ref: factors_only1346452
Ref: fib1346855
Ref: fibtophi1347198
Ref: ifactors1348402
Ref: igcdex1349656
Ref: inrt1350356
Ref: inv_mod1350646
Ref: isqrt1351057
Ref: jacobi1351180
Ref: lcm1351437
Ref: lucas1351657
Ref: mod1352073
Ref: next_prime1353364
Ref: partfrac1353520
Ref: power_mod1354849
Ref: primep1355398
Ref: primep_number_of_tests1356212
Ref: primes1356339
Ref: prev_time1356515
Ref: qunit1356672
Ref: totient1357096
Ref: zeta1357484
Ref: zeta%pi1358910
Ref: zn_add_table1359549
Ref: zn_characteristic_factors1359700
Ref: zn_carmichael_lambda1363309
Ref: zn_determinant1363536
Ref: zn_factor_generators1364635
Ref: zn_invert_by_lu1364867
Ref: zn_log1365893
Ref: zn_mult_table1369133
Ref: zn_nth_root1374588
Ref: zn_order1379443
Ref: zn_power_table1381694
Ref: zn_primroot1386589
Ref: zn_primroot_limit1389157
Ref: zn_primroot_p1389492
Ref: zn_primroot_pretest1391334
Ref: zn_primroot_verbose1391870
Node: Package sym1392046
Node: Introduction to Symmetries1392249
Node: Functions and Variables for Symmetries1393799
Ref: comp2pui1394054
Ref: ele2pui1394653
Ref: ele2comp1394874
Ref: elem1395095
Ref: mon2schur1396552
Ref: multi1397703
Ref: multi_pui1398437
Ref: pui1398897
Ref: pui2comp1400248
Ref: pui2ele1401519
Ref: puireduc1401925
Ref: schur2comp1402612
Ref: cont2part1403340
Ref: contract1403782
Ref: explose1404627
Ref: part2cont1404891
Ref: partpol1405245
Ref: tcontract1405530
Ref: tpartpol1405747
Ref: direct1406016
Ref: multi_orbit1409747
Ref: multsym1410424
Ref: orbit1411290
Ref: pui_direct1411843
Ref: kostka1414101
Ref: lgtreillis1414347
Ref: ltreillis1414603
Ref: treillis1414889
Ref: treinat1415128
Ref: ele2polynome1415762
Ref: polynome2ele1416595
Ref: prodrac1417192
Ref: pui2polynome1417446
Ref: somrac1418112
Ref: resolvante1418406
Ref: resolvante_alternee11425833
Ref: resolvante_bipartite1426241
Ref: resolvante_diedrale1426836
Ref: resolvante_klein1427562
Ref: resolvante_klein31427923
Ref: resolvante_produit_sym1428284
Ref: resolvante_unitaire1429389
Ref: resolvante_vierer1429748
Ref: multinomial1430150
Ref: permut1430428
Node: Groups1430511
Node: Functions and Variables for Groups1430675
Ref: todd_coxeter1430848
Node: Runtime Environment1432637
Node: Introduction for Runtime Environment1432906
Node: Interrupts1435165
Node: Functions and Variables for Runtime Environment1436296
Ref: maxima_tempdir1436525
Ref: maxima_userdir1436996
Ref: room1437725
Ref: sstatus1438148
Ref: status1438630
Ref: system1439683
Ref: time1442918
Ref: timedate1443430
Ref: parse_timedate1445399
Ref: encode_time1449121
Ref: decode_time1451649
Ref: absolute_real_time1453395
Ref: elapsed_real_time1453833
Ref: elapsed_run_time1454340
Node: Miscellaneous Options1454900
Node: Introduction to Miscellaneous Options1455183
Node: Share1455594
Node: Functions and Variables for Miscellaneous Options1456115
Ref: askexp1456347
Ref: genindex1456592
Ref: gensumnum1456766
Ref: gensym1457027
Ref: packagefile1457998
Ref: remvalue1458740
Ref: rncombine1459185
Ref: setup_autoload1459906
Ref: tcl_output1461311
Node: Rules and Patterns1462549
Node: Introduction to Rules and Patterns1462795
Node: Functions and Variables for Rules and Patterns1463894
Ref: apply11464143
Ref: apply21464815
Ref: applyb11465370
Ref: current_let_rule_package1466109
Ref: default_let_rule_package1466716
Ref: defmatch1467016
Ref: defrule1471673
Ref: disprule1472385
Ref: let1473808
Ref: letrat1478234
Ref: letrules1479086
Ref: letsimp1479656
Ref: let_rule_packages1481977
Ref: matchdeclare1482210
Ref: maxapplydepth1490248
Ref: maxapplyheight1490413
Ref: remlet1490582
Ref: remrule1491588
Ref: tellsimp1493658
Ref: tellsimpafter1496122
Ref: clear_rules1505469
Node: Sets1505654
Node: Introduction to Sets1505842
Node: Functions and Variables for Sets1513211
Ref: adjoin1513390
Ref: belln1513895
Ref: cardinality1514902
Ref: cartesian_product1515438
Ref: cartesian_product_list1516205
Ref: disjoin1519957
Ref: disjointp1520659
Ref: divisors1521052
Ref: elementp1522654
Ref: emptyp1523050
Ref: equiv_classes1523371
Ref: every1524760
Ref: extremal_subset1527743
Ref: flatten1528525
Ref: full_listify1531152
Ref: fullsetify1531694
Ref: identity1532303
Ref: integer_partitions1532583
Ref: intersect1534474
Ref: intersection1534587
Ref: listify1536439
Ref: makeset1536860
Ref: moebius1538470
Ref: multinomial_coeff1539696
Ref: num_distinct_partitions1541015
Ref: num_partitions1541893
Ref: partition_set1542829
Ref: permutations1543596
Ref: powerset1544171
Ref: random_permutation1545288
Ref: setdifference1546085
Ref: setequalp1546957
Ref: setify1547613
Ref: setp1548201
Ref: set_partitions1548763
Ref: some1550427
Ref: stirling11553505
Ref: stirling21554843
Ref: subset1556309
Ref: subsetp1556940
Ref: symmdifference1557341
Ref: union1558388
Node: Function Definition1559372
Node: Introduction to Function Definition1559638
Node: Function1559857
Ref: memoizing function1563323
Ref: memoizing functions1563323
Ref: Memoizing function1563323
Ref: Memoizing functions1563323
Node: Macros1566277
Ref: buildq1566437
Ref: macroexpand1570810
Ref: macroexpand11572060
Ref: macros1573222
Ref: splice1573573
Node: Functions and Variables for Function Definition1575271
Ref: apply1575496
Ref: block1579349
Ref: break1582681
Ref: catch1582934
Ref: compfile1584097
Ref: compile1584910
Ref: define1586487
Ref: define_variable1590706
Ref: dispfun1595003
Ref: fullmap1598832
Ref: fullmapl1599513
Ref: functions1599785
Ref: fundef1601654
Ref: funmake1602673
Ref: lambda1605901
Ref: local1611953
Ref: macroexpansion1613355
Ref: mode_declare1619533
Ref: modedeclare1619533
Ref: mode_checkp1623278
Ref: mode_check_errorp1624391
Ref: mode_check_warnp1624545
Ref: mode_identity1624691
Ref: remfunction1626219
Ref: savedef1627002
Ref: translate1627425
Ref: translate_file1629889
Ref: transrun1632484
Ref: tr_array_as_ref1632728
Ref: tr_bound_function_applyp1633196
Ref: tr_file_tty_messagesp1634292
Ref: tr_float_can_branch_complex1634676
Ref: tr_function_call_default1635247
Ref: tr_numer1635989
Ref: tr_optimize_max_loop1636174
Ref: tr_state_vars1636500
Ref: tr_warnings_get1637030
Ref: tr_warn_fexpr1637415
Ref: tr_warn_meval1637662
Ref: tr_warn_mode1637873
Ref: tr_warn_undeclared1638032
Ref: tr_warn_undefined_variable1638192
Ref: compile_file1638337
Ref: declare_translated1639684
Node: Program Flow1640310
Node: Lisp and Maxima1640572
Node: Garbage Collection1644830
Ref: garbage_collect1645368
Node: Introduction to Program Flow1645761
Node: Functions and Variables for Program Flow1646086
Ref: backtrace1646305
Ref: do1647959
Ref: while1647959
Ref: unless1647959
Ref: for1647959
Ref: from1647959
Ref: thru1647959
Ref: step1647959
Ref: next1647959
Ref: in1647959
Ref: errcatch1657332
Ref: error1657892
Ref: warning1658531
Ref: error_size1658843
Ref: error_syms1660424
Ref: errormsg_fn1661089
Ref: errormsg1661254
Ref: go1662474
Ref: if1663022
Ref: map1665780
Ref: mapatom1667699
Ref: maperror1667944
Ref: mapprint1668487
Ref: maplist1668904
Ref: prederror1669368
Ref: return1669886
Ref: scanmap1671124
Ref: throw1672944
Ref: outermap1673135
Node: Debugging1679977
Node: Source Level Debugging1680202
Node: Keyword Commands1684135
Node: Functions and Variables for Debugging1686589
Ref: debugmode1686784
Ref: refcheck1687347
Ref: setcheck1687552
Ref: setcheckbreak1688788
Ref: setval1689300
Ref: timer1689561
Ref: timer_reset1690794
Ref: untimer1691147
Ref: timer_devalue1691771
Ref: timer_info1692211
Ref: trace1693024
Ref: trace_options1694199
Ref: trace_break_arg1699792
Ref: untrace1700180
Node: Package alt-display1700539
Node: Introduction to alt-display1700772
Node: Functions and Variables for alt-display1703589
Ref: alt_display_output_type1703811
Ref: define_alt_display1705573
Ref: info_display1707252
Ref: mathml_display1707573
Ref: tex_display1707935
Ref: multi_display_for_texinfo1708205
Ref: reset_displays1709126
Ref: set_alt_display1709287
Ref: set_prompt1710091
Ref: Functions and Variables for alt-display-Footnote-11712679
Node: Package asympa1712818
Node: Introduction to asympa1713050
Ref: asympa1713246
Node: Functions and variables for asympa1713574
Node: Package augmented_lagrangian1713771
Node: Functions and Variables for augmented_lagrangian1714016
Ref: augmented_lagrangian_method1714275
Node: Package bernstein1717969
Node: Functions and Variables for Bernstein1718182
Ref: bernstein_poly1718386
Ref: bernstein_explicit1720288
Ref: multibernstein_poly1720949
Ref: bernstein_approx1721396
Ref: bernstein_expand1722664
Node: Package bitwise1723171
Node: Functions and Variables for bitwise1723668
Ref: bit_not1723838
Ref: bit_and1724383
Ref: bit_or1725244
Ref: bit_xor1726099
Ref: bit_lsh1726964
Ref: bit_rsh1727736
Ref: bit_length1728516
Ref: bit_onep1729043
Node: Package bode1730629
Node: Functions and Variables for bode1730808
Ref: bode_gain1730987
Ref: bode_phase1732399
Node: Package cartan1734059
Node: Introduction to cartan1734270
Node: Functions and Variables for cartan1734963
Ref: init_cartan1735160
Ref: cartan-~1735843
Ref: cartan-|1736512
Ref: ext_diff1736672
Ref: lie_diff1736810
Node: Package celine1738345
Node: Introduction to celine1738525
Node: Package clebsch_gordan1742362
Node: Functions and Variables for clebsch_gordan1742580
Ref: clebsch_gordan1742809
Ref: racah_v1742944
Ref: racah_w1743103
Ref: wigner_3j1743246
Ref: wigner_6j1743407
Ref: wigner_9j1743503
Node: Package cobyla1743624
Node: Introduction to cobyla1743869
Node: Functions and Variables for cobyla1746402
Ref: fmin_cobyla1746627
Ref: bf_fmin_cobyla1749420
Node: Examples for cobyla1749819
Node: Package colnew1751476
Node: Introduction to colnew1751746
Node: Functions and Variables for colnew1754189
Ref: colnew_expert1754414
Ref: colnew_appsln1763153
Node: Examples for colnew1763639
Node: References for colnew1792984
Ref: gawain-ball1793146
Ref: ascher-1979a1793444
Ref: ascher-1979b1793730
Ref: ascher-1981a1794071
Ref: ascher-1981b1794313
Ref: ascher-russell1794630
Ref: parker-wan1794880
Ref: bader-ascher1795192
Ref: ascher-et-al1795435
Ref: bellon-talon1795698
Node: Package combinatorics1796000
Node: Introduction to combinatorics1796253
Node: Functions and Variables for Combinatorics1798250
Ref: apply_cycles1798482
Ref: cyclep1799235
Ref: perm_cycles1799857
Ref: perm_decomp1800271
Ref: perm_inverse1800710
Ref: perm_length1801158
Ref: perm_lex_next1801627
Ref: perm_lex_rank1801966
Ref: perm_lex_unrank1802386
Ref: perm_next1802765
Ref: perm_parity1803126
Ref: perm_rank1803570
Ref: perm_undecomp1803976
Ref: perm_unrank1804330
Ref: permp1804695
Ref: perms1805141
Ref: perms_lex1806657
Ref: permult1808473
Ref: permute1808746
Ref: random_perm1809355
Node: Package contrib_ode1809622
Node: Introduction to contrib_ode1809975
Node: Functions and Variables for contrib_ode1815822
Ref: contrib_ode1816089
Ref: odelin1816248
Ref: ode_check1817030
Ref: gauss_a1818187
Ref: gauss_b1818887
Ref: dgauss_a1818955
Ref: dgauss_b1819089
Ref: kummer_m1819223
Ref: kummer_u1819687
Ref: dkummer_m1819912
Ref: dkummer_u1820033
Ref: bessel_simplify1820154
Ref: expintegral_e_simplify1821419
Node: Possible improvements to contrib_ode1821734
Node: Test cases for contrib_ode1822882
Node: References for contrib_ode1823666
Node: Package descriptive1825215
Node: Introduction to descriptive1825568
Node: Functions and Variables for data manipulation1830738
Ref: build_sample1831037
Ref: continuous_freq1833461
Ref: discrete_freq1837310
Ref: standardize1838662
Ref: subsample1839043
Ref: transform_sample1845183
Node: Functions and Variables for descriptive statistics1846771
Ref: mean1847099
Ref: var1850023
Ref: var11853114
Ref: std1853952
Ref: std11855339
Ref: noncentral_moment1855983
Ref: central_moment1858465
Ref: cv1861120
Ref: smin1861783
Ref: smax1862441
Ref: range1863102
Ref: quantile1863584
Ref: median1864625
Ref: qrange1865372
Ref: mean_deviation1866251
Ref: median_deviation1867213
Ref: harmonic_mean1868129
Ref: geometric_mean1869068
Ref: kurtosis1870001
Ref: skewness1870900
Ref: pearson_skewness1871783
Ref: quartile_skewness1872627
Ref: km1873553
Ref: cdf_empirical1874971
Ref: cov1875965
Ref: cov11878538
Ref: global_variances1879768
Ref: cor1881708
Ref: list_correlations1883998
Ref: principal_components1887269
Node: Functions and Variables for statistical graphs1891559
Ref: barsplot1891825
Ref: barsplot_description1896331
Ref: boxplot1897235
Ref: boxplot_description1900953
Ref: histogram1901140
Ref: histogram_description1906452
Ref: histogram_skyline1907491
Ref: piechart1909041
Ref: piechart_description1910710
Ref: scatterplot1910899
Ref: scatterplot_description1912772
Ref: starplot1912972
Ref: starplot_description1915361
Ref: stemplot1915550
Node: Package diag1916560
Node: Functions and Variables for diag1916744
Ref: diag_function1916923
Ref: JF1918190
Ref: jordan1919010
Ref: dispJordan1921476
Ref: minimalPoly1922656
Ref: ModeMatrix1923416
Ref: mat_function1925178
Node: Package distrib1929289
Node: Introduction to distrib1929575
Node: Functions and Variables for continuous distributions1935623
Node: Normal Random Variable1936554
Ref: pdf_normal1936955
Ref: cdf_normal1937540
Ref: quantile_normal1938400
Ref: mean_normal1939021
Ref: var_normal1939263
Ref: std_normal1939560
Ref: skewness_normal1939846
Ref: kurtosis_normal1940130
Ref: random_normal1940442
Node: Student's t Random Variable1940943
Ref: pdf_student_t1941491
Ref: cdf_student_t1942259
Ref: quantile_student_t1943125
Ref: mean_student_t1943428
Ref: var_student_t1943670
Ref: std_student_t1944153
Ref: skewness_student_t1944531
Ref: kurtosis_student_t1944843
Ref: random_student_t1945226
Node: Noncentral Student's t Random Variable1946060
Ref: pdf_noncentral_student_t1946707
Ref: cdf_noncentral_student_t1950007
Ref: quantile_noncentral_student_t1950468
Ref: mean_noncentral_student_t1950880
Ref: var_noncentral_student_t1951917
Ref: std_noncentral_student_t1952623
Ref: skewness_noncentral_student_t1953329
Ref: kurtosis_noncentral_student_t1954758
Ref: random_noncentral_student_t1956361
Node: Chi-squared Random Variable1957319
Ref: pdf_chi21957798
Ref: cdf_chi21958799
Ref: quantile_chi21959569
Ref: mean_chi21959994
Ref: var_chi21960349
Ref: std_chi21960712
Ref: skewness_chi21961107
Ref: kurtosis_chi21961789
Ref: random_chi21962367
Node: Noncentral Chi-squared Random Variable1962780
Ref: pdf_noncentral_chi21963391
Ref: cdf_noncentral_chi21964290
Ref: quantile_noncentral_chi21964609
Ref: mean_noncentral_chi21965009
Ref: var_noncentral_chi21965276
Ref: std_noncentral_chi21965553
Ref: skewness_noncentral_chi21965855
Ref: kurtosis_noncentral_chi21966268
Ref: random_noncentral_chi21966658
Node: F Random Variable1967082
Ref: pdf_f1967531
Ref: cdf_f1968453
Ref: quantile_f1969254
Ref: mean_f1969602
Ref: var_f1969937
Ref: std_f1970318
Ref: skewness_f1970703
Ref: kurtosis_f1971107
Ref: random_f1971603
Node: Exponential Random Variable1972231
Ref: pdf_exp1972663
Ref: cdf_exp1973174
Ref: quantile_exp1973709
Ref: mean_exp1974326
Ref: var_exp1974866
Ref: std_exp1975508
Ref: skewness_exp1976079
Ref: kurtosis_exp1976483
Ref: random_exp1976887
Node: Lognormal Random Variable1977261
Ref: pdf_lognormal1977617
Ref: cdf_lognormal1978355
Ref: quantile_lognormal1979338
Ref: mean_lognormal1979896
Ref: var_lognormal1980330
Ref: std_lognormal1980693
Ref: skewness_lognormal1981202
Ref: kurtosis_lognormal1981611
Ref: random_lognormal1982032
Node: Gamma Random Variable1982478
Ref: pdf_gamma1982909
Ref: cdf_gamma1983458
Ref: quantile_gamma1984161
Ref: mean_gamma1984459
Ref: var_gamma1984700
Ref: std_gamma1984996
Ref: skewness_gamma1985271
Ref: kurtosis_gamma1985658
Ref: random_gamma1986040
Node: Beta Random Variable1986775
Ref: pdf_beta1987146
Ref: cdf_beta1987652
Ref: quantile_beta1988390
Ref: mean_beta1988686
Ref: var_beta1989025
Ref: std_beta1989369
Ref: skewness_beta1989769
Ref: kurtosis_beta1990140
Ref: random_beta1990608
Node: Continuous Uniform Random Variable1991095
Ref: pdf_continuous_uniform1991465
Ref: cdf_continuous_uniform1991861
Ref: quantile_continuous_uniform1992283
Ref: mean_continuous_uniform1992626
Ref: var_continuous_uniform1992992
Ref: std_continuous_uniform1993425
Ref: skewness_continuous_uniform1993833
Ref: kurtosis_continuous_uniform1994139
Ref: random_continuous_uniform1994418
Node: Logistic Random Variable1994896
Ref: pdf_logistic1995277
Ref: cdf_logistic1996071
Ref: quantile_logistic1996643
Ref: mean_logistic1996951
Ref: var_logistic1997197
Ref: std_logistic1997601
Ref: skewness_logistic1997987
Ref: kurtosis_logistic1998275
Ref: random_logistic1998659
Node: Pareto Random Variable1999056
Ref: pdf_pareto1999295
Ref: cdf_pareto1999657
Ref: quantile_pareto2000035
Ref: mean_pareto2000336
Ref: var_pareto2000548
Ref: std_pareto2000983
Ref: skewness_pareto2001435
Ref: kurtosis_pareto2001829
Ref: random_pareto2002304
Node: Weibull Random Variable2002960
Ref: pdf_weibull2003201
Ref: cdf_weibull2003847
Ref: quantile_weibull2004241
Ref: mean_weibull2004545
Ref: var_weibull2004890
Ref: std_weibull2005269
Ref: skewness_weibull2005667
Ref: kurtosis_weibull2006394
Ref: random_weibull2007108
Node: Rayleigh Random Variable2007501
Ref: pdf_rayleigh2007847
Ref: cdf_rayleigh2008434
Ref: quantile_rayleigh2009031
Ref: mean_rayleigh2009565
Ref: var_rayleigh2010126
Ref: std_rayleigh2010968
Ref: skewness_rayleigh2011761
Ref: kurtosis_rayleigh2012870
Ref: random_rayleigh2013939
Node: Laplace Random Variable2014325
Ref: pdf_laplace2014780
Ref: cdf_laplace2015420
Ref: quantile_laplace2015808
Ref: mean_laplace2016110
Ref: var_laplace2016352
Ref: std_laplace2016650
Ref: skewness_laplace2016928
Ref: kurtosis_laplace2017212
Ref: random_laplace2017496
Node: Cauchy Random Variable2017887
Ref: pdf_cauchy2018494
Ref: cdf_cauchy2018912
Ref: quantile_cauchy2019441
Ref: random_cauchy2019741
Node: Gumbel Random Variable2020128
Ref: pdf_gumbel2020333
Ref: cdf_gumbel2020883
Ref: quantile_gumbel2021310
Ref: mean_gumbel2021610
Ref: var_gumbel2022004
Ref: std_gumbel2022399
Ref: skewness_gumbel2022773
Ref: kurtosis_gumbel2023553
Ref: random_gumbel2023930
Node: Functions and Variables for discrete distributions2024317
Node: General Finite Discrete Random Variable2024934
Ref: pdf_general_finite_discrete2025247
Ref: cdf_general_finite_discrete2026152
Ref: quantile_general_finite_discrete2027042
Ref: mean_general_finite_discrete2027274
Ref: var_general_finite_discrete2027490
Ref: std_general_finite_discrete2027709
Ref: skewness_general_finite_discrete2027938
Ref: kurtosis_general_finite_discrete2028174
Ref: random_general_finite_discrete2028410
Node: Binomial Random Variable2029052
Ref: pdf_binomial2029726
Ref: cdf_binomial2030139
Ref: quantile_binomial2030811
Ref: mean_binomial2031159
Ref: var_binomial2031447
Ref: std_binomial2031745
Ref: skewness_binomial2032066
Ref: kurtosis_binomial2032504
Ref: random_binomial2032942
Node: Poisson Random Variable2033507
Ref: pdf_poisson2034010
Ref: cdf_poisson2034448
Ref: quantile_poisson2034901
Ref: mean_poisson2035198
Ref: var_poisson2035434
Ref: std_poisson2035677
Ref: skewness_poisson2035948
Ref: kurtosis_poisson2036316
Ref: random_poisson2036694
Node: Bernoulli Random Variable2037238
Ref: pdf_bernoulli2037752
Ref: cdf_bernoulli2038268
Ref: quantile_bernoulli2038693
Ref: mean_bernoulli2039008
Ref: var_bernoulli2039389
Ref: std_bernoulli2039784
Ref: skewness_bernoulli2040205
Ref: kurtosis_bernoulli2040845
Ref: random_bernoulli2041487
Node: Geometric Random Variable2041931
Ref: pdf_geometric2042523
Ref: cdf_geometric2042941
Ref: quantile_geometric2043285
Ref: mean_geometric2043747
Ref: var_geometric2044241
Ref: std_geometric2044624
Ref: skewness_geometric2044955
Ref: kurtosis_geometric2045332
Ref: random_geometric2045762
Node: Discrete Uniform Random Variable2046322
Ref: pdf_discrete_uniform2046873
Ref: cdf_discrete_uniform2047306
Ref: quantile_discrete_uniform2047753
Ref: mean_discrete_uniform2048107
Ref: var_discrete_uniform2048489
Ref: std_discrete_uniform2048927
Ref: skewness_discrete_uniform2049396
Ref: kurtosis_discrete_uniform2049717
Ref: random_discrete_uniform2050206
Node: Hypergeometric Random Variable2050692
Ref: pdf_hypergeometric2051309
Ref: cdf_hypergeometric2052077
Ref: quantile_hypergeometric2052921
Ref: mean_hypergeometric2053312
Ref: var_hypergeometric2053766
Ref: std_hypergeometric2054316
Ref: skewness_hypergeometric2054923
Ref: kurtosis_hypergeometric2055608
Ref: random_hypergeometric2056507
Node: Negative Binomial Random Variable2057136
Ref: pdf_negative_binomial2057807
Ref: cdf_negative_binomial2058334
Ref: quantile_negative_binomial2058864
Ref: mean_negative_binomial2059234
Ref: var_negative_binomial2059635
Ref: std_negative_binomial2060089
Ref: skewness_negative_binomial2060523
Ref: kurtosis_negative_binomial2060971
Ref: random_negative_binomial2061459
Node: Package draw2061971
Node: Introduction to draw2062257
Node: Functions and Variables for draw2064736
Ref: gr2d2064997
Ref: gr3d2066335
Ref: draw2067242
Ref: draw2d2069336
Ref: draw3d2069615
Ref: draw_file2069894
Ref: multiplot_mode2070347
Ref: set_draw_defaults2071725
Ref: adapt_depth_draw2072549
Ref: allocation2072805
Ref: axis_3d2074213
Ref: axis_bottom2074726
Ref: axis_left2075198
Ref: axis_right2075633
Ref: axis_top2076071
Ref: background_color2076504
Ref: border2076893
Ref: capping2077530
Ref: cbrange2078160
Ref: cbtics2079102
Ref: color_draw2079814
Ref: colorbox2083647
Ref: columns2084688
Ref: contour2085328
Ref: contour_levels2086480
Ref: data_file_name2088443
Ref: delay2088846
Ref: dimensions_draw2089694
Ref: draw_realpart2091509
Ref: enhanced3d2092208
Ref: error_type2098095
Ref: file_name2098436
Ref: fill_color2099064
Ref: fill_density2099287
Ref: filled_func2099512
Ref: font2100993
Ref: font_size2104287
Ref: gnuplot_file_name2104719
Ref: grid_draw2105493
Ref: head_angle2106247
Ref: head_both2107484
Ref: head_length2108119
Ref: head_type2108830
Ref: interpolate_color2109684
Ref: ip_grid2112522
Ref: ip_grid_in2112725
Ref: key2112938
Ref: key_pos2113738
Ref: label_alignment2114819
Ref: label_orientation2115753
Ref: line_type2116704
Ref: line_width2117731
Ref: logcb2118497
Ref: logx_draw2119241
Ref: logx_secondary2119826
Ref: logy_draw2120721
Ref: logy_secondary2121175
Ref: logz2122036
Ref: palette_draw2123165
Ref: point_size2126447
Ref: point_type_draw2127055
Ref: points_joined2128845
Ref: proportional_axes2130054
Ref: surface_hide2131284
Ref: terminal2131824
Ref: title_draw2135349
Ref: transform2135779
Ref: transparent2137215
Ref: unit_vectors2137771
Ref: user_preamble2138470
Ref: view2139694
Ref: wired_surface2140614
Ref: x_voxel2141108
Ref: xaxis2141370
Ref: xaxis_color2141841
Ref: xaxis_secondary2142345
Ref: xaxis_type2143183
Ref: xaxis_width2143686
Ref: xlabel_draw2144157
Ref: xlabel_secondary2144704
Ref: xrange2145457
Ref: xrange_secondary2145993
Ref: xtics_draw2146512
Ref: xtics_axis2148494
Ref: xtics_rotate2148832
Ref: xtics_rotate_secondary2149102
Ref: xtics_secondary2149402
Ref: xtics_secondary_axis2149617
Ref: xu_grid2149985
Ref: xy_file2150518
Ref: xyplane2150887
Ref: y_voxel2151415
Ref: yaxis2151677
Ref: yaxis_color2152123
Ref: yaxis_secondary2152627
Ref: yaxis_type2153342
Ref: yaxis_width2153846
Ref: ylabel_draw2154317
Ref: ylabel_secondary2154871
Ref: yrange2155720
Ref: yrange_secondary2156320
Ref: ytics_draw2157160
Ref: ytics_axis2157353
Ref: ytics_rotate2157691
Ref: ytics_rotate_secondary2157961
Ref: ytics_secondary2158261
Ref: ytics_secondary_axis2158471
Ref: yv_grid2158839
Ref: z_voxel2159399
Ref: zaxis2159612
Ref: zaxis_color2160171
Ref: zaxis_type2160776
Ref: zaxis_width2161337
Ref: zlabel_draw2161904
Ref: zlabel_rotate2162491
Ref: zrange2163102
Ref: ztics_draw2163729
Ref: ztics_axis2163927
Ref: ztics_rotate2164265
Ref: bars2164584
Ref: cylindrical2165492
Ref: elevation_grid2166251
Ref: ellipse2167306
Ref: errors2168543
Ref: explicit2170005
Ref: image2172071
Ref: implicit2175913
Ref: label_draw2177896
Ref: mesh2179173
Ref: parametric2180634
Ref: parametric_surface2182155
Ref: points2183451
Ref: polar2189868
Ref: polygon2190769
Ref: quadrilateral2191699
Ref: rectangle2192872
Ref: region2193894
Ref: spherical2194672
Ref: triangle2195438
Ref: tube2196437
Ref: vector2197244
Ref: draw_renderer2198611
Node: Functions and Variables for pictures2198882
Ref: get_pixel2199138
Ref: make_level_picture2199306
Ref: make_rgb_picture2200482
Ref: negative_picture2201609
Ref: picture_equalp2201708
Ref: picturep2201826
Ref: read_xpm2201952
Ref: rgb2level2202044
Ref: take_channel2202181
Node: Functions and Variables for worldmap2203109
Ref: boundaries_array2203387
Ref: numbered_boundaries2203746
Ref: make_poly_continent2204281
Ref: make_poly_country2204893
Ref: make_polygon2205255
Ref: region_boundaries2208392
Ref: region_boundaries_plus2208943
Ref: geomap2209581
Node: Package drawdf2215908
Node: Introduction to drawdf2216121
Node: Functions and Variables for drawdf2218046
Ref: drawdf2218278
Node: Package dynamics2226822
Node: The dynamics package2227092
Node: Graphical analysis of discrete dynamical systems2227786
Ref: chaosgame2228056
Ref: evolution2228822
Ref: evolution2d2229568
Ref: ifs2230606
Ref: orbits2232030
Ref: staircase2233458
Node: Visualization with VTK2234328
Ref: scene2234791
Ref: scene_options2237058
Ref: scene_azimuth2237101
Ref: scene_background2237404
Ref: scene_elevation2237653
Ref: scene_height2237987
Ref: scene_restart2238165
Ref: scene_tstep2238418
Ref: scene_width2238622
Ref: scene_windowname2238797
Ref: scene_windowtitle2239102
Ref: scene_objects2239303
Ref: cone2239346
Ref: cube2240227
Ref: cylinder2240568
Ref: sphere2241225
Ref: object_options2241345
Ref: object_animation2241406
Ref: object_capping2242025
Ref: object_center2242283
Ref: object_color2242644
Ref: object_endphi2242861
Ref: object_endtheta2243327
Ref: object_height2243789
Ref: object_linewidth2243954
Ref: object_opacity2244141
Ref: object_orientation2244400
Ref: object_origin2244778
Ref: object_phiresolution2245054
Ref: object_points2245352
Ref: object_pointsize2245567
Ref: object_position2245751
Ref: object_radius2245972
Ref: object_resolution2246200
Ref: object_scale2246403
Ref: object_startphi2246858
Ref: object_starttheta2247325
Ref: object_surface2247788
Ref: object_thetaresolution2248091
Ref: object_track2248403
Ref: object_xlength2249394
Ref: object_ylength2249602
Ref: object_zlength2249810
Ref: object_wireframe2250018
Node: Package engineering-format2250234
Node: Functions and Variables for engineering-format2250629
Ref: engineering_format_floats2250878
Ref: engineering_format_min2251452
Ref: engineering_format_max2252235
Node: Package ezunits2252491
Node: Introduction to ezunits2252757
Node: Introduction to physical_constants2256492
Ref: physical_constants2256735
Node: Functions and Variables for ezunits2261435
Ref: constvalue2272540
Ref: declare_constvalue2273432
Ref: remove_constvalue2274036
Ref: units2274195
Ref: declare_units2275549
Ref: qty2276305
Ref: declare_qty2277280
Ref: unitp2277969
Ref: declare_unit_conversion2279188
Ref: declare_dimensions2281043
Ref: remove_dimensions2282027
Ref: declare_fundamental_dimensions2282200
Ref: declare_fundamental_units2283590
Ref: dimensions2285297
Ref: fundamental_units2287084
Ref: dimensionless2288460
Ref: natural_unit2289564
Node: Package f902289810
Node: Functions for f902289972
Ref: f90_output_line_length_max2290092
Ref: function_f902291725
Node: Package finance2293813
Node: Introduction to finance2294028
Node: Functions and Variables for finance2294641
Ref: days3602294843
Ref: fv2295148
Ref: pv2295503
Ref: graph_flow2295861
Ref: annuity_pv2296246
Ref: annuity_fv2296657
Ref: geo_annuity_pv2297066
Ref: geo_annuity_fv2297533
Ref: amortization2297997
Ref: arit_amortization2299382
Ref: geo_amortization2301082
Ref: saving2302738
Ref: npv2304138
Ref: irr2304457
Ref: benefit_cost2304859
Node: Package format2305487
Node: Introduction to format2305703
Node: Functions and Variables for format2308125
Ref: Template keywords2311131
Node: Package fractals2326039
Node: Introduction to fractals2326359
Node: Definitions for IFS fractals2326985
Ref: sierpinskiale2327705
Ref: treefale2328077
Ref: fernfale2328366
Node: Definitions for complex fractals2328711
Ref: mandelbrot_set2328937
Ref: julia_set2329431
Ref: julia_parameter2329947
Ref: julia_sin2330249
Node: Definitions for Koch snowflakes2331058
Ref: snowmap2331280
Node: Definitions for Peano maps2332042
Ref: hilbertmap2332326
Ref: sierpinskimap2332573
Node: Package gentran2332828
Node: Introduction to Gentran2333115
Node: Functions for Gentran2333671
Node: Gentran Mode Switches2341168
Node: Gentran Option Variables2343180
Node: Gentran Evaluation Forms2350594
Node: Package ggf2353714
Node: Functions and Variables for ggf2353889
Ref: ggf2355195
Node: Package graphs2357267
Node: Introduction to graphs2357478
Node: Functions and Variables for graphs2358601
Ref: create_graph2358845
Ref: copy_graph2360909
Ref: circulant_graph2360979
Ref: clebsch_graph2361560
Ref: complement_graph2361624
Ref: complete_bipartite_graph2361708
Ref: complete_graph2361820
Ref: cycle_digraph2361905
Ref: cycle_graph2361989
Ref: cuboctahedron_graph2362062
Ref: cube_graph2362141
Ref: dodecahedron_graph2362212
Ref: empty_graph2362286
Ref: flower_snark2362365
Ref: from_adjacency_matrix2362614
Ref: frucht_graph2362721
Ref: graph_product2362783
Ref: graph_union2363032
Ref: grid_graph2363126
Ref: great_rhombicosidodecahedron_graph2363194
Ref: great_rhombicuboctahedron_graph2363300
Ref: grotzch_graph2363400
Ref: heawood_graph2363464
Ref: icosahedron_graph2363528
Ref: icosidodecahedron_graph2363600
Ref: induced_subgraph2363684
Ref: line_graph2364183
Ref: make_graph2364261
Ref: mycielski_graph2365489
Ref: new_graph2365579
Ref: path_digraph2365661
Ref: path_graph2365743
Ref: petersen_graph2365814
Ref: random_bipartite_graph2366022
Ref: random_digraph2366186
Ref: random_regular_graph2366329
Ref: random_graph2366548
Ref: random_graph12366681
Ref: random_network2366787
Ref: random_tournament2367311
Ref: random_tree2367400
Ref: small_rhombicosidodecahedron_graph2367477
Ref: small_rhombicuboctahedron_graph2367583
Ref: snub_cube_graph2367683
Ref: snub_dodecahedron_graph2367751
Ref: truncated_cube_graph2367835
Ref: truncated_dodecahedron_graph2367913
Ref: truncated_icosahedron_graph2368007
Ref: truncated_tetrahedron_graph2368099
Ref: tutte_graph2368191
Ref: underlying_graph2368251
Ref: wheel_graph2368350
Ref: adjacency_matrix2368480
Ref: average_degree2369045
Ref: biconnected_components2369374
Ref: bipartition2369871
Ref: chromatic_index2370272
Ref: chromatic_number2370528
Ref: clear_edge_weight2370856
Ref: clear_vertex_label2371296
Ref: connected_components2371777
Ref: diameter2372110
Ref: edge_coloring2372326
Ref: degree_sequence2373081
Ref: edge_connectivity2373340
Ref: edges2373469
Ref: get_edge_weight2373720
Ref: get_vertex_label2374449
Ref: get_unique_vertex_by_label2374935
Ref: get_all_vertices_by_label2375806
Ref: graph_charpoly2376487
Ref: graph_center2376857
Ref: graph_eigenvalues2377098
Ref: graph_periphery2377461
Ref: graph_size2377716
Ref: graph_order2377962
Ref: girth2378213
Ref: hamilton_cycle2378451
Ref: hamilton_path2378833
Ref: isomorphism2379226
Ref: in_neighbors2379730
Ref: is_biconnected2380106
Ref: is_bipartite2380451
Ref: is_connected2380811
Ref: is_digraph2381101
Ref: is_edge_in_graph2381440
Ref: is_graph2382053
Ref: is_graph_or_digraph2382377
Ref: is_isomorphic2382758
Ref: is_planar2383161
Ref: is_sconnected2383695
Ref: is_vertex_in_graph2384072
Ref: is_tree2384472
Ref: laplacian_matrix2384821
Ref: max_clique2385524
Ref: max_degree2385790
Ref: max_flow2386175
Ref: max_independent_set2387208
Ref: max_matching2387549
Ref: min_degree2387955
Ref: min_edge_cut2388339
Ref: min_vertex_cover2388467
Ref: min_vertex_cut2388563
Ref: minimum_spanning_tree2388697
Ref: neighbors2389012
Ref: odd_girth2389288
Ref: out_neighbors2389648
Ref: planar_embedding2390026
Ref: print_graph2390571
Ref: radius2391272
Ref: set_edge_weight2391482
Ref: set_vertex_label2391968
Ref: shortest_path2392738
Ref: shortest_weighted_path2393105
Ref: strong_components2393722
Ref: topological_sort2394089
Ref: vertex_connectivity2394630
Ref: vertex_degree2394763
Ref: vertex_distance2394865
Ref: vertex_eccentricity2395281
Ref: vertex_in_degree2395565
Ref: vertex_out_degree2396128
Ref: vertices2396511
Ref: vertex_coloring2396737
Ref: wiener_index2397223
Ref: add_edge2397468
Ref: add_edges2397867
Ref: add_vertex2398257
Ref: add_vertices2398609
Ref: connect_vertices2398800
Ref: contract_edge2399359
Ref: remove_edge2400150
Ref: remove_vertex2400521
Ref: dimacs_export2400684
Ref: dimacs_import2400942
Ref: graph6_decode2401039
Ref: graph6_encode2401150
Ref: graph6_export2401260
Ref: graph6_import2401394
Ref: sparse6_decode2401502
Ref: sparse6_encode2401620
Ref: sparse6_export2401737
Ref: sparse6_import2401873
Ref: draw_graph2402026
Ref: draw_graph_program2405262
Ref: show_id2405442
Ref: show_label2405558
Ref: label_alignment_graphs2405680
Ref: show_weight2405865
Ref: vertex_type2405986
Ref: vertex_size2406175
Ref: vertex_color2406238
Ref: show_vertices2406320
Ref: show_vertex_type2406445
Ref: show_vertex_size2406642
Ref: show_vertex_color2406729
Ref: vertex_partition2406844
Ref: vertex_coloring_variable2407082
Ref: edge_color2407254
Ref: edge_width2407331
Ref: edge_type2407391
Ref: show_edges2407524
Ref: show_edge_color2407639
Ref: show_edge_width2407746
Ref: show_edge_type2407827
Ref: edge_partition2407981
Ref: edge_coloring_variable2408185
Ref: redraw2408347
Ref: head_angle_graphs2408540
Ref: head_length_graphs2408669
Ref: spring_embedding_depth2408801
Ref: terminal_graphs2408956
Ref: file_name_graphs2409084
Ref: program2409178
Ref: fixed_vertices2409620
Ref: vertices_to_path2409805
Ref: vertices_to_cycle2409947
Node: Package grobner2410091
Node: Introduction to grobner2410312
Node: Functions and Variables for grobner2412106
Ref: poly_add2415003
Ref: poly_subtract2415254
Ref: poly_multiply2415522
Ref: poly_s_polynomial2415769
Ref: poly_primitive_part2415931
Ref: poly_normalize2416177
Ref: poly_expand2416483
Ref: poly_expt2417964
Ref: poly_content2418261
Ref: poly_pseudo_divide2418469
Ref: poly_exact_divide2419093
Ref: poly_normal_form2419313
Ref: poly_buchberger_criterion2419504
Ref: poly_buchberger2419825
Ref: poly_reduction2420528
Ref: poly_minimization2420740
Ref: poly_normalize_list2421038
Ref: poly_grobner2421288
Ref: poly_reduced_grobner2421455
Ref: poly_depends_p2421638
Ref: poly_elimination_ideal2421780
Ref: poly_colon_ideal2422050
Ref: poly_ideal_intersection2422278
Ref: poly_lcm2422441
Ref: poly_gcd2422559
Ref: poly_grobner_equal2423201
Ref: poly_grobner_subsetp2423890
Ref: poly_grobner_member2424183
Ref: poly_ideal_saturation12424655
Ref: poly_ideal_saturation2425016
Ref: poly_ideal_polysaturation12425407
Ref: poly_ideal_polysaturation2425839
Ref: poly_saturation_extension2426153
Ref: poly_polysaturation_extension2426327
Node: Package hompack2426427
Node: Introduction to hompack2426647
Node: Functions and Variables for hompack2426943
Ref: hompack_polsys2427145
Node: Package impdiff2434558
Node: Functions and Variables for impdiff2434751
Ref: implicit_derivative2434945
Node: Package interpol2435404
Node: Introduction to interpol2435628
Node: Functions and Variables for interpol2436050
Ref: lagrange2436257
Ref: charfun22440440
Ref: linearinterpol2441761
Ref: cspline2444438
Ref: ratinterpol2449072
Node: Package lapack2450525
Node: Introduction to lapack2450739
Node: Functions and Variables for lapack2451075
Ref: dgeev2451272
Ref: dgeqrf2454322
Ref: dgesv2456145
Ref: dgesvd2459619
Ref: dlange2464915
Ref: zlange2464915
Ref: dgemm2465953
Ref: zgeev2471090
Ref: zheev2471331
Node: Package lbfgs2475726
Node: Introduction to lbfgs2475933
Node: Functions and Variables for lbfgs2476962
Ref: lbfgs_func2477154
Ref: lbfgs_nfeval_max2491872
Ref: lbfgs_ncorrections2492162
Node: Package levin2492370
Node: Introduction to levin2492628
Node: Functions and Variables for levin2494052
Ref: levin_u_sum2494271
Ref: bflevin_u_sum2495225
Ref: levin_options2495915
Node: Examples for levin2497145
Node: References for levin2502195
Ref: levin-19732502409
Ref: smith-ford-19792503264
Ref: smith-ford-19822503523
Ref: sidi-20032504518
Ref: bender-orszag2504874
Node: Package lindstedt2505046
Node: Functions and Variables for lindstedt2505250
Ref: Lindstedt2505454
Node: Package linearalgebra2506794
Node: Introduction to linearalgebra2507047
Node: Functions and Variables for linearalgebra2511592
Ref: addmatrices2511824
Ref: blockmatrixp2512336
Ref: columnop2512460
Ref: columnswap2512698
Ref: columnspace2512856
Ref: cholesky2513154
Ref: ctranspose2513469
Ref: diag_matrix2513676
Ref: dotproduct2514651
Ref: eigens_by_jacobi2514863
Ref: get_lu_factors2517999
Ref: hankel2518304
Ref: hessian2518593
Ref: hilbert_matrix2519722
Ref: identfor2519860
Ref: invert_by_lu2520440
Ref: jacobian2520609
Ref: kronecker_product2521567
Ref: locate_matrix_entry2521675
Ref: lu_backsub2522627
Ref: lu_factor2526936
Ref: mat_cond2532422
Ref: mat_norm2532949
Ref: linearalgebra_matrixp2533270
Ref: matrix_size2533666
Ref: mat_fullunblocker2533810
Ref: mat_trace2533981
Ref: mat_unblocker2534222
Ref: nullspace2535625
Ref: nullity2535915
Ref: orthogonal_complement2536016
Ref: polytocompanion2536293
Ref: ptringularize2536587
Ref: rowp2537029
Ref: linalg_rank2537259
Ref: rowswap2537760
Ref: toeplitz2537909
Ref: vandermonde_matrix2538743
Ref: zerofor2538903
Ref: zeromatrixp2539450
Node: Package lsquares2539744
Node: Introduction to lsquares2539975
Node: Functions and Variables for lsquares2540325
Ref: lsquares_estimates2540532
Ref: lsquares_estimates_exact2547057
Ref: lsquares_estimates_approximate2549374
Ref: lsquares_mse2552410
Ref: lsquares_residuals2556756
Ref: lsquares_residual_mse2558914
Ref: plsquares2561003
Node: Package minpack2565157
Node: Introduction to minpack2565381
Node: Functions and Variables for minpack2565734
Ref: minpack_lsquares2565936
Ref: minpack_solve2568942
Node: Package makeOrders2571362
Node: Functions and Variables for makeOrders2571566
Ref: makeOrders_func2571775
Node: Package mnewton2572595
Node: Introduction to mnewton2572822
Node: Functions and Variables for mnewton2573137
Ref: newtonepsilon2573339
Ref: newtonmaxiter2573690
Ref: newtondebug2573915
Ref: mnewton2574102
Node: Package numericalio2576654
Ref: numericalio2576966
Node: Introduction to numericalio2576966
Node: Functions and Variables for plain-text input and output2581361
Ref: read_matrix2581691
Ref: read_array2583422
Ref: read_hashed_array2584333
Ref: read_nested_list2585412
Ref: read_list2586377
Ref: write_data2587361
Node: Functions and Variables for binary input and output2588895
Ref: assume_external_byte_order2589181
Ref: openr_binary2589692
Ref: openw_binary2589882
Ref: opena_binary2590094
Ref: read_binary_matrix2590236
Ref: read_binary_array2590660
Ref: read_binary_list2591153
Ref: write_binary_data2591774
Node: Package odepack2592856
Node: Introduction to ODEPACK2593121
Ref: Introduction to ODEPACK-Footnote-12594323
Node: Getting Started with ODEPACK2594378
Node: Functions and Variables for odepack2597780
Ref: dlsode_init2597987
Ref: dlsode_step2599549
Node: Package operatingsystem2602001
Node: Introduction to operatingsystem2602285
Node: Directory operations2602618
Ref: chdir2602815
Ref: mkdir2602875
Ref: rmdir2602932
Ref: getcurrentdirectory2602989
Node: File operations2603283
Ref: copy_file2603461
Ref: rename_file2603541
Ref: delete_file2603624
Node: Environment operations2603687
Ref: getenv2603850
Node: Package opsubst2604099
Node: Functions and Variables for opsubst2604301
Ref: opsubst_func2604495
Node: Package orthopoly2606805
Node: Introduction to orthogonal polynomials2607058
Ref: Floating point Evaluation2617836
Node: Functions and Variables for orthogonal polynomials2625073
Ref: assoc_legendre_p2625337
Ref: assoc_legendre_q2627066
Ref: chebyshev_t2628573
Ref: chebyshev_u2629892
Ref: gen_laguerre2631328
Ref: hermite2633046
Ref: intervalp2634562
Ref: jacobi_p2634679
Ref: laguerre2635703
Ref: legendre_p2636986
Ref: legendre_q2638665
Ref: orthopoly_recur2639896
Ref: orthopoly_weight2641448
Ref: pochhammer2642193
Ref: spherical_bessel_j2644173
Ref: spherical_bessel_y2645920
Ref: spherical_hankel12647670
Ref: spherical_hankel22648005
Ref: spherical_harmonic2648341
Ref: unit_step2650976
Ref: ultraspherical2651242
Node: Package pslq2652611
Node: Introduction to pslq2652822
Node: Functions and Variables for pslq2653303
Ref: guess_exact_value2653490
Node: Package pytranslate2657824
Node: Introduction to pytranslate2658082
Node: Functions in pytranslate2660758
Node: Extending pytranslate2663239
Node: Package quantum_computing2668549
Node: Introduction to quantum_computing2668822
Node: Functions and Variables for Quantum_Computing2669831
Ref: binlist2670083
Ref: binlist2dec2670599
Ref: CNOT2670733
Ref: controlled2670957
Ref: gate2671527
Ref: gate_matrix2672399
Ref: linsert2673003
Ref: lreplace2673224
Ref: normalize2673645
Ref: qdisplay2673758
Ref: qmatrix2673988
Ref: qmeasure2674462
Ref: qubits2675183
Ref: qswap2675491
Ref: Rx2675696
Ref: Ry2675860
Ref: Rz2676024
Ref: tprod2676188
Ref: toffoli2676311
Node: Package ratpow2676560
Node: Functions and Variables for ratpow2677793
Ref: ratp_hipow2677959
Ref: ratp_lopow2678285
Ref: ratp_coeffs2679330
Ref: ratp_dense_coeffs2679713
Node: Package romberg2680069
Node: Functions and Variables for romberg2680260
Ref: romberg_function2680454
Ref: rombergabs2685354
Ref: rombergit2685936
Ref: rombergmin2686392
Ref: rombergtol2686696
Node: Package simplex2687279
Node: Introduction to simplex2687506
Node: Functions and Variables for simplex2689676
Ref: epsilon_lp2689878
Ref: linear_program2690722
Ref: maximize_lp2691833
Ref: minimize_lp2692100
Ref: nonnegative_lp2695579
Ref: scale_lp2695908
Ref: pivot_count_sx2696118
Ref: pivot_max_sx2696261
Node: Package simplification2696384
Node: Introduction to simplification2696706
Node: Package absimp2697103
Node: Package facexp2698184
Ref: facsum2699495
Ref: nextlayerfactor2701460
Ref: facsum_combine2702214
Ref: factorfacsum2702933
Ref: collectterms2703264
Node: Package functs2704551
Ref: rempart2704709
Ref: wronskian2704951
Ref: tracematrix2705633
Ref: nonzeroandfreeof2706118
Ref: gcdivide2707121
Ref: arithmetic2708860
Ref: geometric2709083
Ref: harmonic2709298
Ref: arithsum2709544
Ref: geosum2709706
Ref: gaussprob2709978
Ref: gd2710157
Ref: agd2710307
Ref: vers2710476
Ref: covers2710611
Ref: exsec2710752
Ref: hav2710887
Ref: combination2711022
Ref: permutation2711202
Node: Package ineq2711397
Node: Package rducon2715521
Ref: reduce_consts2715679
Node: Package scifac2717104
Ref: gcfac2717241
Node: Package solve_rec2718236
Node: Introduction to solve_rec2718471
Node: Functions and Variables for solve_rec2719213
Ref: harmonic_number2719425
Ref: harmonic_to_psi2720242
Ref: reduce_order2720602
Ref: simplify_products2722393
Ref: simplify_sum2722607
Ref: solve_rec2723450
Ref: solve_rec_rat2726452
Ref: product_use_gamma2727330
Ref: summand_to_rec2727601
Node: Package stats2728882
Node: Introduction to stats2729198
Node: Functions and Variables for inference_result2730365
Ref: inference_result2730632
Ref: inferencep2732510
Ref: items_inference2732661
Ref: take_inference2733396
Node: Functions and Variables for stats2735270
Ref: stats_numer2735543
Ref: test_mean2735814
Ref: test_means_difference2740319
Ref: test_variance2745314
Ref: test_variance_ratio2747950
Ref: test_proportion2750795
Ref: test_proportions_difference2754420
Ref: test_sign2758225
Ref: test_signed_rank2760227
Ref: test_rank_sum2763391
Ref: test_normality2766204
Ref: linear_regression2767279
Node: Functions and Variables for special distributions2771039
Ref: pdf_signed_rank2771291
Ref: cdf_signed_rank2771531
Ref: pdf_rank_sum2771775
Ref: cdf_rank_sum2772027
Node: Package stirling2772283
Node: Functions and Variables for stirling2772480
Ref: stirling2772679
Node: Package stringproc2775201
Node: Introduction to String Processing2775514
Node: String Input and Output2778969
Ref: close2779843
Ref: flength2779947
Ref: flush_output2780179
Ref: fposition2780338
Ref: freshline2780800
Ref: get_output_stream_string2781210
Ref: make_string_input_stream2781505
Ref: make_string_output_stream2782302
Ref: newline2783004
Ref: opena2783357
Ref: openr2783634
Ref: openw2784508
Ref: printf2784873
Ref: readbyte2790209
Ref: readchar2791113
Ref: readline2791336
Ref: sprint2791555
Ref: writebyte2792357
Node: Characters2793758
Ref: adjust_external_format2793951
Ref: alphacharp2796226
Ref: alphanumericp2797227
Ref: ascii2797455
Ref: cequal2797989
Ref: cequalignore2798106
Ref: cgreaterp2798384
Ref: cgreaterpignore2798534
Ref: charp2798818
Ref: cint2798940
Ref: clessp2799874
Ref: clesspignore2800018
Ref: constituent2800296
Ref: digitcharp2800930
Ref: lowercasep2801088
Ref: newline_variable2801231
Ref: space_variable2801304
Ref: tab_variable2801352
Ref: unicode2801396
Ref: unicode_to_utf82803427
Ref: uppercasep2803986
Ref: us_ascii_only2804130
Ref: utf8_to_unicode2805092
Node: String Processing2805306
Ref: charat2805562
Ref: charlist2805872
Ref: eval_string2806045
Ref: parse_string2806668
Ref: scopy2807313
Ref: sdowncase2807395
Ref: sequal2807623
Ref: sequalignore2807770
Ref: sexplode2808052
Ref: simplode2808149
Ref: sinsert2808857
Ref: sinvertcase2809386
Ref: slength2809840
Ref: smake2809926
Ref: smismatch2810123
Ref: split2810614
Ref: sposition2811428
Ref: sremove2811675
Ref: sremovefirst2812466
Ref: sreverse2812805
Ref: ssearch2812952
Ref: ssort2813632
Ref: ssubst2814354
Ref: ssubstfirst2815300
Ref: strim2815661
Ref: striml2816012
Ref: strimr2816129
Ref: stringp2816247
Ref: substring2816356
Ref: supcase2816953
Ref: tokens2817441
Node: Octets and Utilities for Cryptography2818298
Ref: base642818506
Ref: base64_decode2819497
Ref: crc24sum2819969
Ref: md5sum2821762
Ref: mgf1_sha12823681
Ref: number_to_octets2824631
Ref: octets_to_number2825094
Ref: octets_to_oid2825263
Ref: octets_to_string2825667
Ref: oid_to_octets2827627
Ref: sha1sum2827778
Ref: sha256sum2829016
Ref: string_to_octets2829781
Node: Regular Expressions2830473
Node: Introduction to Regular Expressions2830619
Node: Functions and Variables2831285
Ref: regex_compile2831471
Ref: regex_match_pos2831918
Ref: regex_match2833546
Ref: regex_split2836797
Ref: regex_subst_first2837118
Ref: regex_subst2837868
Ref: string_to_regex2838179
Node: Package to_poly_solve2838900
Node: Functions and Variables for to_poly_solve2839121
Ref: complex_number_p2847253
Ref: compose_functions2848185
Ref: dfloat2850221
Ref: elim2851322
Ref: elim_allbut2854014
Ref: eliminate_using2854756
Ref: fourier_elim2856221
Ref: isreal_p2859635
Ref: new_variable2860995
Ref: nicedummies2862759
Ref: real_imagpart_to_conjugate2864906
Ref: rectform_log_if_constant2865667
Ref: simp_inequality2866709
Ref: standardize_inverse_trig2868673
Ref: subst_parallel2869204
Ref: to_poly2871351
Ref: %union2888147
Node: Package trigtools2890031
Node: Introduction to trigtools2890279
Ref: Introduction to trigtools-Footnote-12891205
Node: Functions and Variables for trigtools2891370
Node: Convert to sin and cos2891855
Ref: c2sin2892100
Ref: c2cos2892126
Node: Convert to Trignometric Functions2895320
Ref: c2trig2895581
Node: Convert to Hyperbolic Functions2898236
Ref: c2hyp2898507
Node: Factor Sums of sin and cos Functions2899245
Ref: trigfactor2899521
Node: Solve Trignometric Equations2903366
Ref: trigsolve2903631
Node: Evaluation of Trignometric Functions2911032
Ref: trigvalue2911300
Ref: trigeval2911613
Node: Contract atan Functions2919418
Ref: atan_contract2919623
Node: References2921407
Node: Package unit2921588
Node: Introduction to Units2921797
Node: Functions and Variables for Units2925517
Ref: setunits2925708
Ref: uforget2930638
Ref: convert2931972
Ref: usersetunits2935427
Ref: metricexpandall2943973
Node: Package wrstcse2945113
Node: Introduction to wrstcse2945333
Node: Functions and Variables for wrstcse2946359
Ref: wc_typicalvalues2946561
Ref: wc_inputvalueranges2947560
Ref: wc_systematic2948363
Ref: wc_montecarlo2949565
Ref: wc_mintypmax2950734
Ref: wc_tolappend2951952
Ref: wc_mintypmax2tol2953207
Node: Package zeilberger2953823
Node: Introduction to zeilberger2954071
Node: Functions and Variables for zeilberger2956096
Ref: AntiDifference2956315
Ref: Gosper2956500
Ref: GosperSum2956731
Ref: parGosper2958669
Ref: Zeilberger2958998
Node: General global variables2959719
Ref: MAX_ORD2959929
Ref: simplified_output2960069
Ref: linear_solver2960286
Ref: warnings2960479
Ref: Gosper_in_Zeilberger2960670
Ref: trivial_solutions2960954
Node: Variables related to the modular test2961193
Ref: mod_test2961382
Ref: modular_linear_solver2961573
Ref: ev_point2961760
Ref: mod_big_prime2961962
Ref: mod_threshold2962129
Node: Error and warning messages2962300
Node: Error Messages2962654
Node: No such list element2963271
Node: argument must be a non-atomic expression2963683
Node: cannot assign to function2964578
Node: 0 to a negative exponent2964957
Node: Comma is not a prefix operator2965273
Node: Illegal use of delimiter2965651
Node: loadfile failed to load2966049
Node: makelist second argument must evaluate to a number2967063
Node: Only symbols can be bound2967589
Node: Operators of arguments must all be the same2968001
Node: out of memory2968847
Node: part fell off the end2970038
Node: undefined variable during plotting2970339
Node: VTK is not installed2971489
Node: Warning Messages2972079
Node: undefined variable during translation2972300
Node: replaced x by y2972952
Node: Command-line options2973489
Ref: command_line_options2973671
Node: Function and Variable Index2976756

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