This is maxima.info, produced by makeinfo version 4.13 from
/home/robert/maxima/maxima-code/doc/info//include-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: 315
maxima.info-2: 952551
maxima.info-3: 1958616

Tag Table:
(Indirect)
Node: Top315
Node: Introduction to Maxima14826
Node: Bug Detection and Reporting21641
Node: Functions and Variables for Bug Detection and Reporting21883
Ref: run_testsuite22123
Ref: testsuite_files23833
Ref: bug_report24469
Ref: build_info24851
Node: Help26421
Node: Documentation26602
Node: Functions and Variables for Help27602
Ref: apropos27772
Ref: demo28860
Ref: describe30055
Ref: example32905
Ref: manual_demo34281
Node: Command Line34476
Node: Introduction to Command Line34734
Node: Functions and Variables for Command Line34948
Ref: __35209
Ref: _36950
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Ref: quit54928
Ref: read55305
Ref: readonly55863
Ref: reset56537
Ref: showtime56998
Ref: to_lisp57341
Ref: values58441
Node: Functions and Variables for Display59483
Ref: %edispflag59697
Ref: absboxchar60298
Ref: disp60625
Ref: display61305
Ref: display2d62168
Ref: display_format_internal62774
Ref: dispterms63465
Ref: expt64413
Ref: ncexpt64413
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Ref: ibase70011
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Ref: negsumdispflag75707
Ref: obase76089
Ref: pfeformat77255
Ref: powerdisp78077
Ref: print78875
Ref: sqrtdispflag80222
Ref: stardisp80372
Ref: ttyoff80537
Node: Data Types and Structures80884
Node: Numbers81131
Node: Introduction to Numbers81353
Node: Functions and Variables for Numbers83793
Ref: bfloat83989
Ref: bfloatp84401
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Ref: bftrunc85612
Ref: evenp85896
Ref: float86023
Ref: float2bf86287
Ref: floatnump86528
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Ref: oddp92540
Ref: promote_float_to_bigfloat92660
Ref: ratepsilon93375
Ref: rationalize93644
Ref: ratnump95048
Node: Strings95186
Node: Introduction to Strings95392
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Ref: concat97679
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Node: Functions and Variables for Constants100411
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Node: Introduction to Lists105339
Node: Functions and Variables for Lists106194
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Ref: copylist109533
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Ref: sublist128408
Ref: sublist_indices128730
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Node: Arrays130435
Node: Functions and Variables for Arrays130608
Ref: array130783
Ref: arrayapply132251
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Ref: arraymake136453
Ref: arrays138242
Ref: arraysetapply139305
Ref: fillarray139523
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Ref: make_array145362
Ref: rearray147385
Ref: remarray147755
Ref: subvar148311
Ref: subvarp149035
Ref: use_fast_arrays149150
Node: Structures150669
Node: Introduction to Structures150871
Node: Functions and Variables for Structures152498
Node: Expressions156756
Node: Introduction to Expressions157025
Node: Nouns and Verbs158616
Node: Identifiers161065
Node: Inequality163209
Node: Functions and Variables for Expressions163502
Ref: alias163697
Ref: aliases163926
Ref: allbut164172
Ref: args165167
Ref: atom165667
Ref: box165908
Ref: boxchar167944
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Ref: dispform169293
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Ref: inflag176541
Ref: inpart177233
Ref: isolate178497
Ref: isolate_wrt_times179329
Ref: listconstvars180104
Ref: listdummyvars180872
Ref: listofvars181576
Ref: lfreeof182138
Ref: lpart182321
Ref: mainvar182535
Ref: noun183222
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Ref: nounify184038
Ref: nterms184444
Ref: op184799
Ref: operatorp186512
Ref: option_opsubst186847
Ref: optimize187780
Ref: optimprefix188153
Ref: ordergreat188305
Ref: orderless188305
Ref: ordergreatp189100
Ref: orderlessp189100
Ref: part192842
Ref: partition194309
Ref: partswitch194896
Ref: pickapart195111
Ref: piece198086
Ref: psubst198297
Ref: rembox199066
Ref: reveal202166
Ref: sublis204704
Ref: sublis_apply_lambda205169
Ref: subnumsimp205440
Ref: subst206026
Ref: substinpart208303
Ref: substpart210711
Ref: symbolp211864
Ref: unorder212086
Ref: verbify213554
Node: Operators213933
Node: Introduction to operators214238
Node: Arithmetic operators218427
Ref: +218607
Ref: -218607
Ref: *218607
Ref: /218607
Ref: ^218607
Ref: **225609
Ref: ^^226382
Ref: .227128
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Node: Logical operators230252
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Node: Operators for Equations232956
Ref: #233137
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Node: Assignment operators237949
Ref: :238129
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Node: User defined operators247506
Ref: infix247658
Ref: matchfix251927
Ref: function_nary256561
Ref: nofix257134
Ref: postfix257671
Ref: prefix258127
Node: Evaluation258502
Node: Functions and Variables for Evaluation258673
Ref: quote258864
Ref: quote-quote263476
Ref: ev268942
Ref: eval277620
Ref: evflag278166
Ref: evfun280694
Ref: infeval283591
Ref: noeval283956
Ref: nouns284174
Ref: pred284452
Node: Simplification284808
Node: Functions and Variables for Simplification285004
Ref: additive285215
Ref: antisymmetric286118
Ref: commutative287746
Ref: demoivre288525
Ref: function_distrib289192
Ref: distribute_over290089
Ref: domain292327
Ref: evenfun292499
Ref: oddfun292499
Ref: expand293172
Ref: expandwrt297382
Ref: expandwert_denom297951
Ref: expandwrt_factored298346
Ref: expon298690
Ref: exponentialize298968
Ref: expop299538
Ref: lassociative299969
Ref: linear300174
Ref: maxnegex301862
Ref: maxposex302044
Ref: multiplicative302219
Ref: multthru303161
Ref: property_nary305467
Ref: negdistrib306167
Ref: opproperties306982
Ref: outative307342
Ref: radcan308591
Ref: radexpand309859
Ref: rassociative310670
Ref: scsimp310867
Ref: simp311284
Ref: symmetric312729
Ref: xthru312959
Node: Mathematical Functions314173
Node: Functions for Numbers314528
Ref: abs314732
Ref: ceiling318100
Ref: entier321365
Ref: floor321569
Ref: fix323448
Ref: lmax323509
Ref: lmin323693
Ref: max323877
Ref: min324414
Ref: round324952
Ref: signum325275
Ref: truncate326013
Node: Functions for Complex Numbers326323
Ref: cabs326544
Ref: carg329311
Ref: conjugate330370
Ref: imagpart330908
Ref: polarform331516
Ref: realpart332234
Ref: rectform332838
Node: Combinatorial Functions333314
Ref: !!333544
Ref: binomial334243
Ref: factcomb335244
Ref: !336215
Ref: factorial336215
Ref: factlim339780
Ref: factorial_expand339965
Ref: genfact340202
Ref: minfactorial340433
Ref: sumsplitfact340976
Node: Root Exponential and Logarithmic Functions341128
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Ref: %emode341798
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Ref: exp342704
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Ref: log345780
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Ref: sqrt350389
Node: Trigonometric Functions350734
Node: Introduction to Trigonometric351039
Node: Functions and Variables for Trigonometric352012
Ref: %piargs352250
Ref: %iargs354232
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Ref: halfangles356700
Ref: sin359251
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Ref: triginverses361482
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Ref: trigsign362578
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Ref: trigrat363198
Node: Random Numbers366044
Ref: make_random_state366190
Ref: set_random_state366933
Ref: random367074
Node: Maximas Database368715
Node: Introduction to Maximas Database369031
Node: Functions and Variables for Properties369265
Ref: alphabetic369528
Ref: bindtest370170
Ref: constant370745
Ref: constantp371309
Ref: declare372561
Ref: decreasing377851
Ref: increasing377851
Ref: even378454
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Ref: feature379104
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Ref: propvars385406
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Node: Functions and Variables for Facts390062
Ref: activate390321
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Node: Functions and Variables for Predicates405783
Ref: charfun406005
Ref: compare406616
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Ref: notequal411954
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Ref: zeroequiv413043
Node: Plotting414213
Node: Introduction to Plotting414518
Node: Plotting Formats416710
Node: Functions and Variables for Plotting419517
Ref: contour_plot419733
Ref: get_plot_option420775
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Ref: gnuplot_view_args422087
Ref: implicit_plot423420
Ref: julia424294
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Ref: mandelbrot426767
Ref: polar_to_xy428197
Ref: plot2d428512
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Ref: plot_options439330
Ref: remove_plot_option439621
Ref: set_plot_option439849
Ref: spherical_to_xyz441107
Node: Plotting Options441553
Ref: adapt_depth442169
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Ref: option_box443310
Ref: color443489
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Node: File Input and Output469256
Node: Comments469582
Node: Files470843
Node: Functions and Variables for File Input and Output472042
Ref: appendfile472321
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Ref: file_output_append475964
Ref: filename_merge476578
Ref: file_search476940
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Ref: file_search_demo478725
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Ref: file_search_tests478725
Ref: file_type480354
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Node: Functions and Variables for TeX Output493313
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Node: Functions and Variables for Fortran Output503621
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Ref: fortspaces506353
Node: Polynomials506520
Node: Introduction to Polynomials506744
Node: Functions and Variables for Polynomials509769
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Ref: ezgcd517710
Ref: factor519173
Ref: gcd531157
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Ref: lowpow538278
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Ref: polydecomp541529
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Ref: quotient543853
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Ref: option_resultant567326
Ref: showratvars568263
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Node: Special Functions571932
Node: Introduction to Special Functions572379
Node: Bessel Functions574483
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Ref: bessel_y575184
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Ref: bessel_k576146
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Node: Gamma and factorial Functions581790
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Node: Exponential Integrals612922
Node: Error Function614368
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Node: Struve Functions616180
Node: Hypergeometric Functions616679
Node: Parabolic Cylinder Functions619072
Node: Functions and Variables for Special Functions619666
Node: Elliptic Functions626926
Node: Introduction to Elliptic Functions and Integrals627235
Node: Functions and Variables for Elliptic Functions631030
Node: Functions and Variables for Elliptic Integrals633721
Ref: elliptic_f633967
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Node: Differentiation639168
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Node: Functions and Variables for Integration670180
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Ref: integrate679538
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Node: Introduction to QUADPACK695647
Ref: Introduction to QUADPACK-Footnote-1699357
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Node: Functions and Variables for QUADPACK699860
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Node: Equations722144
Node: Functions and Variables for Equations722323
Ref: %rnum_list722511
Ref: algepsilon723525
Ref: algexact723624
Ref: algsys724206
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Ref: bfallroots731337
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Ref: breakup732438
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Ref: nroots746526
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Node: Differential Equations763404
Node: Introduction to Differential Equations763663
Node: Functions and Variables for Differential Equations764280
Node: Numerical772352
Node: Introduction to fast Fourier transform772781
Node: Functions and Variables for fast Fourier transform773146
Ref: polartorect773456
Ref: recttopolar774060
Ref: inverse_fft774736
Ref: fft776966
Node: Functions for numerical solution of equations780754
Ref: horner781076
Ref: find_root782195
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Ref: find_root_error782195
Ref: find_root_abs782195
Ref: find_root_rel782195
Ref: newton786239
Node: Introduction to numerical solution of differential equations787525
Node: Functions for numerical solution of differential equations788837
Node: Matrices and Linear Algebra802488
Node: Introduction to Matrices and Linear Algebra802769
Node: Dot803115
Node: Vectors804518
Node: eigen805601
Node: Functions and Variables for Matrices and Linear Algebra806394
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Ref: adjoint806989
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Ref: cauchy_matrix807805
Ref: charpoly809184
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Ref: columnvector811379
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Ref: copymatrix812327
Ref: determinant812773
Ref: detout813120
Ref: diagmatrix814095
Ref: doallmxops814584
Ref: domxexpt814852
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Ref: domxnctimes816397
Ref: dontfactor816555
Ref: doscmxops816987
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Ref: dot0simp817526
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Ref: dotdistrib818355
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Ref: dotident818655
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Ref: echelon818954
Ref: eigenvalues820414
Ref: eivals820414
Ref: eigenvectors821705
Ref: eivects821705
Ref: ematrix826209
Ref: entermatrix826380
Ref: genmatrix827750
Ref: gramschmidt830483
Ref: ident833018
Ref: innerproduct833090
Ref: inprod833090
Ref: invert833553
Ref: list_matrix_entries834655
Ref: lmxchar834883
Ref: matrix835391
Ref: matrixmap841413
Ref: matrixp841575
Ref: matrix_element_add841670
Ref: matrix_element_mult842975
Ref: matrix_element_transpose844946
Ref: mattrace847139
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Ref: ncharpoly847557
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Ref: permanent848528
Ref: rank848794
Ref: ratmx849071
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Ref: scalefactors850396
Ref: setelmx851447
Ref: similaritytransform851680
Ref: simtran851680
Ref: sparse852866
Ref: submatrix853071
Ref: transpose853373
Ref: triangularize853763
Ref: uniteigenvectors854813
Ref: ueivects854813
Ref: unitvector856101
Ref: uvect856101
Ref: vectorpotential856334
Ref: vectorsimp856658
Ref: vect_cross857990
Ref: zeromatrix858205
Node: Affine858310
Node: Introduction to Affine858505
Node: Functions and Variables for Affine858744
Node: itensor864166
Node: Introduction to itensor864345
Node: Functions and Variables for itensor877032
Ref: dispcon877291
Ref: show883281
Node: ctensor947980
Node: Introduction to ctensor948160
Node: Functions and Variables for ctensor952551
Node: atensor1011837
Node: Introduction to atensor1012034
Node: Functions and Variables for atensor1015953
Node: Sums Products and Series1021495
Node: Functions and Variables for Sums and Products1021913
Ref: bashindices1022186
Ref: lsum1022613
Ref: intosum1023294
Ref: product1023802
Ref: simpsum1026332
Ref: sum1026709
Ref: sumcontract1031291
Ref: sumexpand1031880
Node: Introduction to Series1032828
Node: Functions and Variables for Series1033403
Ref: cauchysum1033649
Ref: deftaylor1034921
Ref: maxtayorder1036251
Ref: niceindices1036491
Ref: niceindicespref1037922
Ref: nusum1039008
Ref: pade1041155
Ref: powerseries1044232
Ref: psexpand1046150
Ref: revert1046605
Ref: taylor1048478
Ref: taylordepth1056419
Ref: taylorinfo1056673
Ref: taylorp1057567
Ref: taylor_logexpand1057673
Ref: taylor_order_coefficients1058279
Ref: taylor_simplifier1058562
Ref: taylor_truncate_polynomials1058698
Ref: taytorat1058993
Ref: trunc1059189
Ref: unsum1059762
Ref: verbose1060970
Node: Introduction to Fourier series1061101
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Ref: equalp1061879
Ref: remfun1062053
Ref: funp1062371
Ref: absint1062702
Ref: fourier1063315
Ref: foursimp1063457
Ref: sinnpiflag1063611
Ref: cosnpiflag1063694
Ref: fourexpand1063777
Ref: fourcos1064024
Ref: foursin1064152
Ref: totalfourier1064278
Ref: fourint1064408
Ref: fourintcos1064560
Ref: forintsin1064687
Node: Functions and Variables for Poisson series1064812
Ref: intopois1065063
Ref: outopois1065137
Ref: poisdiff1065496
Ref: poisexpt1065653
Ref: poisint1065780
Ref: poislim1065961
Ref: poismap1066258
Ref: poisplus1066576
Ref: poissimp1066666
Ref: poisson1066777
Ref: poissubst1066888
Ref: poistimes1067783
Ref: poistrim1067876
Ref: printpois1068260
Node: Number Theory1068447
Node: Functions and Variables for Number Theory1068643
Ref: bern1068851
Ref: bernpoly1069609
Ref: bfzeta1069711
Ref: bfhzeta1069908
Ref: burn1070518
Ref: chinese1071421
Ref: cf1072372
Ref: cfdisrep1075265
Ref: cfexpand1075950
Ref: cflength1076591
Ref: divsum1077207
Ref: euler1077758
Ref: factors_only1078285
Ref: fib1078655
Ref: fibtophi1079106
Ref: ifactors1080302
Ref: igcdex1081323
Ref: inrt1081999
Ref: inv_mod1082289
Ref: isqrt1082692
Ref: jacobi1082815
Ref: lcm1083072
Ref: lucas1083288
Ref: mod1084160
Ref: next_prime1085395
Ref: partfrac1085551
Ref: power_mod1086780
Ref: primep1087321
Ref: primep_number_of_tests1088084
Ref: prev_time1088208
Ref: qunit1088365
Ref: totient1088781
Ref: zeta1089142
Ref: zeta%pi1090528
Ref: zn_add_table1091132
Ref: zn_determinant1091275
Ref: zn_invert_by_lu1092366
Ref: zn_log1093379
Ref: zn_mult_table1095858
Ref: zn_order1096761
Ref: zn_power_table1099018
Ref: zn_primroot1100436
Ref: zn_primroot_limit1102878
Ref: zn_primroot_p1103189
Ref: zn_primroot_pretest1104990
Ref: zn_primroot_verbose1105479
Node: Symmetries1105644
Node: Introduction to Symmetries1105844
Node: Functions and Variables for Symmetries1107297
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Node: Functions and Variables for Groups1143495
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Node: Introduction for Runtime Environment1145702
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Ref: maxima_tempdir1148162
Ref: maxima_userdir1148617
Ref: room1149314
Ref: sstatus1149710
Ref: status1150168
Ref: system1151154
Ref: time1151961
Ref: timedate1152445
Ref: absolute_real_time1153647
Ref: elapsed_real_time1154077
Ref: elapsed_run_time1154576
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Node: Introduction to Miscellaneous Options1155411
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Ref: askexp1156734
Ref: genindex1156963
Ref: gensumnum1157130
Ref: gensym1157380
Ref: packagefile1158364
Ref: remvalue1159079
Ref: rncombine1159497
Ref: setup_autoload1160192
Ref: tcl_output1161575
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Node: Introduction to Rules and Patterns1163017
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Ref: apply11164297
Ref: apply21164946
Ref: applyb11165481
Ref: current_let_rule_package1166193
Ref: default_let_rule_package1166768
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Ref: maxapplydepth1188145
Ref: maxapplyheight1188299
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Ref: remrule1189417
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Ref: tellsimpafter1193863
Ref: clear_rules1202997
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Ref: cardinality1214686
Ref: cartesian_product1215218
Ref: disjoin1215932
Ref: disjointp1216615
Ref: divisors1217001
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Ref: num_partitions1238637
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Ref: macroexpansion1309547
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Ref: translate_file1322991
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Ref: tr_array_as_ref1325689
Ref: tr_bound_function_applyp1326118
Ref: tr_file_tty_message1326545
Ref: tr_float_can_branch_complex1326910
Ref: tr_function_call_default1327504
Ref: tr_numer1328207
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Ref: tr_state_vars1328940
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Ref: tr_warn_fexpr1329889
Ref: tr_warn_meval1330133
Ref: tr_warn_mode1330333
Ref: tr_warn_undeclared1330489
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Ref: setcheck1376175
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Ref: timer_devalue1379822
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Ref: set_alt_display1391335
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Node: Test cases for contrib_ode1426077
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Node: descriptive1428397
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Node: diag1497080
Node: Functions and Variables for diag1497224
Node: distrib1509609
Node: Introduction to distrib1509855
Node: Functions and Variables for continuous distributions1515991
Node: Functions and Variables for discrete distributions1573253
Node: draw1597193
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Node: Functions and Variables for pictures1715388
Node: Functions and Variables for worldmap1719648
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Node: Introduction to drawdf1731913
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Node: dynamics1742228
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Node: ezunits1749947
Node: Introduction to ezunits1750163
Node: Introduction to physical_constants1753787
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Ref: function_f901786782
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Node: fractals1800157
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Node: Definitions for complex fractals1802761
Node: Definitions for Koch snowflakes1805053
Node: Definitions for Peano maps1806028
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Node: Functions and Variables for ggf1806935
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Node: Introduction to graphs1808873
Node: Functions and Variables for graphs1809942
Node: grobner1858614
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Ref: poly_gcd1870840
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Node: lapack1889028
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Node: Functions and Variables for lapack1889514
Node: lbfgs1909412
Node: Introduction to lbfgs1909583
Node: Functions and Variables for lbfgs1910595
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Node: Functions and Variables for lindstedt1926001
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Ref: addmatrices1932483
Ref: blockmatrixp1932995
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Ref: columnspace1933510
Ref: copy1933792
Ref: cholesky1934607
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Ref: eigens_by_jacobi1936285
Ref: get_lu_factors1939378
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Ref: hilbert_matrix1941064
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Ref: jacobian1941932
Ref: kronecker_product1942882
Ref: listp1942990
Ref: locate_matrix_entry1943317
Ref: lu_backsub1944252
Ref: lu_factor1944410
Ref: mat_cond1950005
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Ref: polytocompanion1955384
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Ref: rowswap1956688
Ref: toeplitz1956837
Ref: vandermonde_matrix1957656
Ref: zerofor1957812
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Node: lsquares1958616
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Node: minpack1980579
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Node: makeOrders1985135
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Node: mnewton1986301
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Ref: newtonepsilon1986977
Ref: newtonmaxiter1987270
Ref: function_mnewton1987484
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Node: orthopoly2004531
Node: Introduction to orthogonal polynomials2004747
Ref: Floating point Evaluation2015374
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Node: romberg2030249
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Ref: collectterms2048547
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Ref: get_output_stream_string2123546
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End Tag Table
