This is maxima.info, produced by makeinfo 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: 264
maxima.info-2: 1053398
maxima.info-3: 2002968

Tag Table:
(Indirect)
Node: Top264
Node: Introduction to Maxima16329
Node: Bug Detection and Reporting23170
Node: Functions and Variables for Bug Detection and Reporting23412
Ref: run_testsuite23652
Ref: testsuite_files25922
Ref: bug_report26769
Ref: build_info27163
Node: Help29588
Node: Documentation29769
Node: Functions and Variables for Help30790
Ref: apropos30960
Ref: demo32121
Ref: describe33358
Ref: example36299
Ref: manual_demo37736
Node: Command Line37946
Node: Introduction to Command Line38204
Node: Functions and Variables for Command Line38418
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Ref: _40488
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Ref: reset61959
Ref: showtime62440
Ref: to_lisp62814
Ref: values63924
Node: Functions and Variables for Display65029
Ref: %edispflag65243
Ref: absboxchar65871
Ref: declare_index_properties66205
Ref: get_index_properties69791
Ref: remove_index_properties69968
Ref: display_index_separator70262
Ref: disp75459
Ref: display76151
Ref: display2d77035
Ref: display_format_internal78113
Ref: dispterms78823
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Ref: ncexpt79812
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Ref: stardisp96418
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Node: Data Types and Structures96968
Node: Numbers97215
Node: Introduction to Numbers97437
Node: Functions and Variables for Numbers98201
Ref: bfloat98397
Ref: bfloatp98821
Ref: bftorat98933
Ref: bftrunc100075
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Ref: ratepsilon107990
Ref: rationalize108278
Ref: ratnump109755
Node: Strings109901
Node: Introduction to Strings110107
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Ref: concat112388
Ref: sconcat113873
Ref: string114529
Ref: stringdisp114836
Node: Constants115622
Node: Functions and Variables for Constants115804
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Ref: sort152836
Ref: sublist158915
Ref: sublist_indices159245
Ref: tenth160343
Ref: third160471
Ref: tree_reduce160598
Ref: unique161960
Ref: xreduce162347
Node: Performance considerations for Lists164096
Node: Arrays166363
Ref: hashed array166528
Ref: hashed arrays166528
Ref: undeclared array166528
Ref: undeclared arrays166528
Node: Functions and Variables for Arrays167740
Ref: array167915
Ref: arrayapply168759
Ref: arrayinfo169030
Ref: arraymake173552
Ref: arrays175357
Ref: arraysetapply176546
Ref: fillarray176772
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Ref: make_array182748
Ref: rearray184930
Ref: remarray185312
Ref: subvar185895
Ref: subvarp186635
Ref: use_fast_arrays186758
Ref: translate_fast_arrays187464
Node: Structures187940
Node: Introduction to Structures188142
Node: Functions and Variables for Structures189813
Ref: structures190024
Ref: defstruct190152
Ref: new191733
Node: Expressions194157
Node: Introduction to Expressions194426
Node: Nouns and Verbs196021
Node: Identifiers198452
Node: Inequality200648
Node: Functions and Variables for Expressions200969
Ref: alias201164
Ref: aliases201393
Ref: allbut201667
Ref: args202707
Ref: atom203877
Ref: box204155
Ref: boxchar206332
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Ref: disolate208062
Ref: dispform208574
Ref: dpart210508
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Ref: exptsubst211339
Ref: freeof212056
Ref: inflag215952
Ref: inpart216771
Ref: isolate218055
Ref: isolate_wrt_times218966
Ref: listconstvars219756
Ref: listdummyvars220289
Ref: listofvars221012
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Ref: lpart222080
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Ref: orderless228213
Ref: ordergreatp229051
Ref: orderlessp229051
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Ref: sublis_apply_lambda245765
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Ref: substinpart250168
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Node: Operators255798
Node: Introduction to operators256103
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Ref: ^^268472
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Ref: #275641
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Ref: infix293447
Ref: matchfix297753
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Node: Evaluation304549
Node: Functions and Variables for Evaluation304720
Ref: quote304911
Ref: quote-quote309583
Ref: ev315088
Ref: eval324120
Ref: evflag324678
Ref: evfun327249
Ref: infeval330178
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Node: Simplification331478
Node: Introduction to Simplification331709
Node: Functions and Variables for Simplification341916
Ref: additive342143
Ref: antisymmetric343102
Ref: combine344159
Ref: commutative344745
Ref: demoivre345502
Ref: function_distrib346229
Ref: distribute_over347138
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Ref: expon355969
Ref: exponentialize356262
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Ref: lassociative357326
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Ref: maxposex359467
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Ref: define_opproperty365953
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Node: Mathematical Functions374882
Node: Functions for Numbers375238
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Node: Functions for Complex Numbers387887
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Node: Root Exponential and Logarithmic Functions405614
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Ref: plog420268
Ref: sqrt420427
Node: Trigonometric Functions420589
Node: Introduction to Trigonometric420894
Node: Functions and Variables for Trigonometric421987
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Ref: %iargs424218
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Ref: halfangles426794
Ref: sec429107
Ref: sech429148
Ref: sin429201
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Ref: trigexpandtimes431207
Ref: triginverses431573
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Node: Random Numbers436315
Ref: make_random_state436461
Ref: set_random_state437236
Ref: random437385
Node: Maxima's Database439050
Node: Introduction to Maxima's Database439370
Node: Functions and Variables for Properties439609
Ref: alphabetic439874
Ref: bindtest440528
Ref: constant441108
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Ref: declare442972
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Node: Functions and Variables for Facts461113
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Ref: zeroequiv485633
Node: Plotting486845
Node: Introduction to Plotting487151
Node: Plotting Formats489752
Node: Functions and Variables for Plotting492915
Ref: contour_plot493131
Ref: geomview_command494273
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Ref: gnuplot_command495156
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Node: Introduction to Elliptic Functions and Integrals716310
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Node: Introduction to Integration760207
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Node: Introduction to QUADPACK787409
Ref: Introduction to QUADPACK-Footnote-1791185
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Node: Equations814697
Node: Functions and Variables for Equations814876
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Node: Differential Equations857817
Node: Introduction to Differential Equations858076
Node: Functions and Variables for Differential Equations858703
Ref: bc2858972
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Node: Numerical867045
Node: Introduction to fast Fourier transform867474
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Ref: polartorect868153
Ref: recttopolar868789
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Ref: bf_inverse_real_fft878429
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Ref: find_root_abs880092
Ref: find_root_rel880092
Ref: newton884276
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Ref: rk897555
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Ref: fast_linsolve962241
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Ref: all_dotsimp_denoms967305
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Node: Introduction to itensor967854
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Ref: dispcon980993
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Ref: garbage_collect1482366
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Ref: clebsch_gordan1568762
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Ref: fmin_cobyla1572483
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Ref: skewness1640771
Ref: pearson_skewness1641672
Ref: quartile_skewness1642513
Ref: km1643434
Ref: cdf_empirical1644904
Ref: cov1645924
Ref: cov11647194
Ref: global_variances1648464
Ref: cor1650336
Ref: list_correlations1652534
Ref: principal_components1655755
Node: Functions and Variables for statistical graphs1660046
Ref: barsplot1660308
Ref: barsplot_description1664974
Ref: boxplot1665878
Ref: boxplot_description1669699
Ref: histogram1669886
Ref: histogram_description1673746
Ref: piechart1674572
Ref: piechart_description1676268
Ref: scatterplot1676457
Ref: scatterplot_description1678420
Ref: starplot1678620
Ref: starplot_description1681009
Ref: stemplot1681198
Node: diag-pkg1682204
Node: Functions and Variables for diag1682360
Ref: diag_function1682531
Ref: JF1683798
Ref: jordan1684618
Ref: dispJordan1687084
Ref: minimalPoly1688264
Ref: ModeMatrix1689024
Ref: mat_function1690786
Node: distrib-pkg1694897
Node: Introduction to distrib1695155
Node: Functions and Variables for continuous distributions1701325
Ref: pdf_normal1701633
Ref: cdf_normal1701847
Ref: quantile_normal1702462
Ref: mean_normal1703069
Ref: var_normal1703255
Ref: std_normal1703451
Ref: skewness_normal1703655
Ref: kurtosis_normal1703882
Ref: random_normal1704109
Ref: pdf_student_t1704609
Ref: cdf_student_t1704842
Ref: quantile_student_t1705445
Ref: mean_student_t1705747
Ref: var_student_t1705954
Ref: std_student_t1706265
Ref: skewness_student_t1706457
Ref: kurtosis_student_t1706684
Ref: random_student_t1706883
Ref: pdf_noncentral_student_t1707712
Ref: cdf_noncentral_student_t1708819
Ref: quantile_noncentral_student_t1709258
Ref: mean_noncentral_student_t1709668
Ref: var_noncentral_student_t1710316
Ref: std_noncentral_student_t1710589
Ref: skewness_noncentral_student_t1710872
Ref: kurtosis_noncentral_student_t1711162
Ref: random_noncentral_student_t1711452
Ref: pdf_chi21712399
Ref: cdf_chi21712973
Ref: quantile_chi21713441
Ref: mean_chi21713866
Ref: var_chi21714155
Ref: std_chi21714447
Ref: skewness_chi21714755
Ref: kurtosis_chi21715229
Ref: random_chi21715629
Ref: pdf_noncentral_chi21716042
Ref: cdf_noncentral_chi21716333
Ref: quantile_noncentral_chi21716629
Ref: mean_noncentral_chi21717014
Ref: var_noncentral_chi21717194
Ref: std_noncentral_chi21717377
Ref: skewness_noncentral_chi21717575
Ref: kurtosis_noncentral_chi21717780
Ref: random_noncentral_chi21717985
Ref: pdf_f1718397
Ref: cdf_f1718605
Ref: quantile_f1719069
Ref: mean_f1719417
Ref: var_f1719588
Ref: std_f1719761
Ref: skewness_f1719950
Ref: kurtosis_f1720146
Ref: random_f1720342
Ref: pdf_exp1720969
Ref: cdf_exp1721348
Ref: quantile_exp1721734
Ref: mean_exp1722368
Ref: var_exp1722747
Ref: std_exp1723175
Ref: skewness_exp1723571
Ref: kurtosis_exp1723891
Ref: random_exp1724211
Ref: pdf_lognormal1724585
Ref: cdf_lognormal1724805
Ref: quantile_lognormal1725401
Ref: mean_lognormal1725949
Ref: var_lognormal1726129
Ref: std_lognormal1726311
Ref: skewness_lognormal1726509
Ref: kurtosis_lognormal1726714
Ref: random_lognormal1726919
Ref: pdf_gamma1727365
Ref: cdf_gamma1727579
Ref: quantile_gamma1728048
Ref: mean_gamma1728346
Ref: var_gamma1728520
Ref: std_gamma1728696
Ref: skewness_gamma1728888
Ref: kurtosis_gamma1729087
Ref: random_gamma1729286
Ref: pdf_beta1730021
Ref: cdf_beta1730233
Ref: quantile_beta1730658
Ref: mean_beta1730954
Ref: var_beta1731126
Ref: std_beta1731300
Ref: skewness_beta1731490
Ref: kurtosis_beta1731687
Ref: random_beta1731884
Ref: pdf_continuous_uniform1732371
Ref: cdf_continuous_uniform1732609
Ref: quantile_continuous_uniform1732852
Ref: mean_continuous_uniform1733193
Ref: var_continuous_uniform1733391
Ref: std_continuous_uniform1733597
Ref: skewness_continuous_uniform1733813
Ref: kurtosis_continuous_uniform1734036
Ref: random_continuous_uniform1734259
Ref: pdf_logistic1734736
Ref: cdf_logistic1734955
Ref: quantile_logistic1735179
Ref: mean_logistic1735485
Ref: var_logistic1735664
Ref: std_logistic1735845
Ref: skewness_logistic1736042
Ref: kurtosis_logistic1736246
Ref: random_logistic1736450
Ref: pdf_pareto1736845
Ref: cdf_pareto1737061
Ref: quantile_pareto1737282
Ref: mean_pareto1737583
Ref: var_pareto1737760
Ref: std_pareto1737946
Ref: skewness_pareto1738142
Ref: kurtosis_pareto1738345
Ref: random_pareto1738548
Ref: pdf_weibull1738939
Ref: cdf_weibull1739157
Ref: quantile_weibull1739380
Ref: mean_weibull1739684
Ref: var_weibull1739862
Ref: std_weibull1740042
Ref: skewness_weibull1740238
Ref: kurtosis_weibull1740441
Ref: random_weibull1740644
Ref: pdf_rayleigh1741037
Ref: cdf_rayleigh1741473
Ref: quantile_rayleigh1741911
Ref: mean_rayleigh1742445
Ref: var_rayleigh1742836
Ref: std_rayleigh1743362
Ref: skewness_rayleigh1743870
Ref: kurtosis_rayleigh1744534
Ref: random_rayleigh1745178
Ref: pdf_laplace1745564
Ref: cdf_laplace1745780
Ref: quantile_laplace1746001
Ref: mean_laplace1746303
Ref: var_laplace1746479
Ref: std_laplace1746657
Ref: skewness_laplace1746851
Ref: kurtosis_laplace1747052
Ref: random_laplace1747253
Ref: pdf_cauchy1747644
Ref: cdf_cauchy1747858
Ref: quantile_cauchy1748077
Ref: random_cauchy1748377
Ref: pdf_gumbel1748764
Ref: cdf_gumbel1748978
Ref: quantile_gumbel1749197
Ref: mean_gumbel1749497
Ref: var_gumbel1749819
Ref: std_gumbel1749995
Ref: skewness_gumbel1750187
Ref: kurtosis_gumbel1750711
Ref: random_gumbel1750910
Node: Functions and Variables for discrete distributions1751297
Ref: pdf_general_finite_discrete1751569
Ref: cdf_general_finite_discrete1752422
Ref: quantile_general_finite_discrete1753294
Ref: mean_general_finite_discrete1753524
Ref: var_general_finite_discrete1753738
Ref: std_general_finite_discrete1753955
Ref: skewness_general_finite_discrete1754182
Ref: kurtosis_general_finite_discrete1754416
Ref: random_general_finite_discrete1754650
Ref: pdf_binomial1755288
Ref: cdf_binomial1755552
Ref: quantile_binomial1756023
Ref: mean_binomial1756371
Ref: var_binomial1756591
Ref: std_binomial1756814
Ref: skewness_binomial1757047
Ref: kurtosis_binomial1757287
Ref: random_binomial1757527
Ref: pdf_poisson1758092
Ref: cdf_poisson1758306
Ref: quantile_poisson1758650
Ref: mean_poisson1758947
Ref: var_poisson1759117
Ref: std_poisson1759290
Ref: skewness_poisson1759478
Ref: kurtosis_poisson1759673
Ref: random_poisson1759872
Ref: pdf_bernoulli1760416
Ref: cdf_bernoulli1760770
Ref: quantile_bernoulli1761001
Ref: mean_bernoulli1761316
Ref: var_bernoulli1761630
Ref: std_bernoulli1761950
Ref: skewness_bernoulli1762290
Ref: kurtosis_bernoulli1762754
Ref: random_bernoulli1763198
Ref: pdf_geometric1763642
Ref: cdf_geometric1763993
Ref: quantile_geometric1764384
Ref: mean_geometric1764845
Ref: var_geometric1765179
Ref: std_geometric1765520
Ref: skewness_geometric1765881
Ref: kurtosis_geometric1766239
Ref: random_geometric1766607
Ref: pdf_discrete_uniform1767167
Ref: cdf_discrete_uniform1767425
Ref: quantile_discrete_uniform1767684
Ref: mean_discrete_uniform1768039
Ref: var_discrete_uniform1768258
Ref: std_discrete_uniform1768480
Ref: skewness_discrete_uniform1768712
Ref: kurtosis_discrete_uniform1768951
Ref: random_discrete_uniform1769190
Ref: pdf_hypergeometric1769677
Ref: cdf_hypergeometric1770213
Ref: quantile_hypergeometric1770581
Ref: mean_hypergeometric1770969
Ref: var_hypergeometric1771235
Ref: std_hypergeometric1771502
Ref: skewness_hypergeometric1771775
Ref: kurtosis_hypergeometric1772055
Ref: random_hypergeometric1772335
Ref: pdf_negative_binomial1772959
Ref: cdf_negative_binomial1773237
Ref: quantile_negative_binomial1773659
Ref: mean_negative_binomial1774030
Ref: var_negative_binomial1774264
Ref: std_negative_binomial1774501
Ref: skewness_negative_binomial1774748
Ref: kurtosis_negative_binomial1775002
Ref: random_negative_binomial1775256
Node: draw-pkg1775769
Node: Introduction to draw1776027
Node: Functions and Variables for draw1778252
Ref: gr2d1778509
Ref: gr3d1779847
Ref: draw1780754
Ref: draw2d1782848
Ref: draw3d1783128
Ref: draw_file1783408
Ref: multiplot_mode1783861
Ref: set_draw_defaults1785239
Ref: adapt_depth_draw1786035
Ref: allocation1786291
Ref: axis_3d1787699
Ref: axis_bottom1788212
Ref: axis_left1788684
Ref: axis_right1789119
Ref: axis_top1789557
Ref: background_color1789990
Ref: border1790378
Ref: capping1791015
Ref: cbrange1791645
Ref: cbtics1792587
Ref: color_draw1793299
Ref: colorbox1797188
Ref: columns1798229
Ref: contour1798869
Ref: contour_levels1800021
Ref: data_file_name1801984
Ref: delay1802387
Ref: dimensions_draw1803235
Ref: draw_realpart1804827
Ref: enhanced3d1805526
Ref: error_type1811413
Ref: file_name1811754
Ref: fill_color1812382
Ref: fill_density1812605
Ref: filled_func1812830
Ref: font1814311
Ref: font_size1817605
Ref: gnuplot_file_name1818037
Ref: grid_draw1818811
Ref: head_angle1819565
Ref: head_both1820802
Ref: head_length1821437
Ref: head_type1822148
Ref: interpolate_color1823002
Ref: ip_grid1825840
Ref: ip_grid_in1826043
Ref: key1826256
Ref: key_pos1827056
Ref: label_alignment1828137
Ref: label_orientation1829071
Ref: line_type1830022
Ref: line_width1831049
Ref: logcb1831815
Ref: logx_draw1832559
Ref: logx_secondary1833144
Ref: logy_draw1834039
Ref: logy_secondary1834493
Ref: logz1835354
Ref: palette_draw1836483
Ref: point_size1839767
Ref: point_type_draw1840375
Ref: points_joined1842165
Ref: proportional_axes1843374
Ref: surface_hide1844604
Ref: terminal1845144
Ref: title_draw1848415
Ref: transform1848845
Ref: transparent1850281
Ref: unit_vectors1850837
Ref: user_preamble1851536
Ref: view1852760
Ref: wired_surface1853680
Ref: x_voxel1854175
Ref: xaxis1854437
Ref: xaxis_color1854908
Ref: xaxis_secondary1855412
Ref: xaxis_type1856250
Ref: xaxis_width1856753
Ref: xlabel_draw1857224
Ref: xlabel_secondary1857771
Ref: xrange1858524
Ref: xrange_secondary1859060
Ref: xtics_draw1859579
Ref: xtics_axis1861551
Ref: xtics_rotate1861889
Ref: xtics_rotate_secondary1862159
Ref: xtics_secondary1862459
Ref: xtics_secondary_axis1862669
Ref: xu_grid1863037
Ref: xy_file1863570
Ref: xyplane1863939
Ref: y_voxel1864467
Ref: yaxis1864729
Ref: yaxis_color1865175
Ref: yaxis_secondary1865679
Ref: yaxis_type1866394
Ref: yaxis_width1866898
Ref: ylabel_draw1867369
Ref: ylabel_secondary1867923
Ref: yrange1868772
Ref: yrange_secondary1869372
Ref: ytics_draw1870212
Ref: ytics_axis1870405
Ref: ytics_rotate1870743
Ref: ytics_rotate_secondary1871013
Ref: ytics_secondary1871313
Ref: ytics_secondary_axis1871523
Ref: yv_grid1871891
Ref: z_voxel1872451
Ref: zaxis1872664
Ref: zaxis_color1873223
Ref: zaxis_type1873828
Ref: zaxis_width1874389
Ref: zlabel_draw1874956
Ref: zlabel_rotate1875543
Ref: zrange1876154
Ref: ztics1876781
Ref: ztics_axis1876974
Ref: ztics_rotate1877312
Ref: bars1877631
Ref: cylindrical1878539
Ref: elevation_grid1879298
Ref: ellipse1880353
Ref: errors1881570
Ref: explicit1883032
Ref: image1885077
Ref: implicit1888919
Ref: label_draw1890902
Ref: mesh1892179
Ref: parametric1893640
Ref: parametric_surface1895161
Ref: points1896457
Ref: polar1902874
Ref: polygon1903775
Ref: quadrilateral1904685
Ref: rectangle1905858
Ref: region1906880
Ref: spherical1907638
Ref: triangle1908404
Ref: tube1909403
Ref: vector1910210
Node: Functions and Variables for pictures1911577
Ref: get_pixel1911829
Ref: make_level_picture1911997
Ref: make_rgb_picture1913173
Ref: negative_picture1914300
Ref: picture_equalp1914399
Ref: picturep1914517
Ref: read_xpm1914643
Ref: rgb2level1914735
Ref: take_channel1914872
Node: Functions and Variables for worldmap1915800
Ref: boundaries_array1916074
Ref: numbered_boundaries1916433
Ref: make_poly_continent1916966
Ref: make_poly_country1917576
Ref: make_polygon1917936
Ref: region_boundaries1921072
Ref: region_boundaries_plus1921621
Ref: geomap1922257
Node: drawdf-pkg1928549
Node: Introduction to drawdf1928734
Node: Functions and Variables for drawdf1930651
Ref: drawdf1930879
Node: dynamics-pkg1939423
Node: The dynamics package1939665
Node: Graphical analysis of discrete dynamical systems1940351
Ref: chaosgame1940617
Ref: evolution1941383
Ref: evolution2d1942129
Ref: ifs1943167
Ref: orbits1944591
Ref: staircase1946019
Node: Visualization with VTK1946889
Ref: scene1947348
Ref: scene_options1949615
Ref: scene_azimuth1949658
Ref: scene_background1949961
Ref: scene_elevation1950210
Ref: scene_height1950544
Ref: scene_restart1950722
Ref: scene_tstep1950975
Ref: scene_width1951179
Ref: scene_windowname1951354
Ref: scene_windowtitle1951659
Ref: scene_objects1951860
Ref: cone1951903
Ref: cube1952784
Ref: cylinder1953125
Ref: sphere1953782
Ref: object_options1953902
Ref: object_animation1953963
Ref: object_capping1954582
Ref: object_center1954840
Ref: object_color1955201
Ref: object_endphi1955418
Ref: object_endtheta1955884
Ref: object_height1956346
Ref: object_linewidth1956511
Ref: object_opacity1956698
Ref: object_orientation1956957
Ref: object_origin1957335
Ref: object_phiresolution1957611
Ref: object_points1957909
Ref: object_pointsize1958124
Ref: object_position1958308
Ref: object_radius1958529
Ref: object_resolution1958757
Ref: object_scale1958960
Ref: object_startphi1959415
Ref: object_starttheta1959882
Ref: object_surface1960345
Ref: object_thetaresolution1960648
Ref: object_track1960960
Ref: object_xlength1961951
Ref: object_ylength1962159
Ref: object_zlength1962367
Ref: object_wireframe1962575
Node: engineering-format-pkg1962791
Node: Functions and Variables for engineering-format1963195
Ref: engineering_format_floats1963477
Ref: engineering_format_min1964051
Ref: engineering_format_max1964834
Node: Known bugs in engineering-format1965090
Node: ezunits-pkg1965442
Node: Introduction to ezunits1965680
Node: Introduction to physical_constants1969407
Ref: physical_constants1969646
Node: Functions and Variables for ezunits1974333
Ref: constvalue1985434
Ref: declare_constvalue1986326
Ref: remove_constvalue1986930
Ref: units1987089
Ref: declare_units1988443
Ref: qty1989199
Ref: declare_qty1990174
Ref: unitp1990863
Ref: declare_unit_conversion1992082
Ref: declare_dimensions1993937
Ref: remove_dimensions1994921
Ref: declare_fundamental_dimensions1995094
Ref: declare_fundamental_units1996484
Ref: dimensions1998191
Ref: fundamental_units1999978
Ref: dimensionless2001354
Ref: natural_unit2002458
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Node: Package f902003096
Ref: f90_output_line_length_max2003202
Ref: function_f902004835
Node: finance-pkg2006923
Node: Introduction to finance2007112
Node: Functions and Variables for finance2007715
Ref: days3602007913
Ref: fv2008218
Ref: pv2008573
Ref: graph_flow2008931
Ref: annuity_pv2009316
Ref: annuity_fv2009727
Ref: geo_annuity_pv2010136
Ref: geo_annuity_fv2010603
Ref: amortization2011067
Ref: arit_amortization2012452
Ref: geo_amortization2014152
Ref: saving2015808
Ref: npv2017208
Ref: irr2017527
Ref: benefit_cost2017929
Node: fractals-pkg2018557
Node: Introduction to fractals2018846
Node: Definitions for IFS fractals2019464
Ref: sierpinskiale2020180
Ref: treefale2020553
Ref: fernfale2020843
Node: Definitions for complex fractals2021189
Ref: mandelbrot_set2021415
Ref: julia_set2021909
Ref: julia_parameter2022425
Ref: julia_sin2022727
Node: Definitions for Koch snowflakes2023536
Ref: snowmap2023758
Node: Definitions for Peano maps2024520
Ref: hilbertmap2024800
Ref: sierpinskimap2025047
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Node: Functions and Variables for ggf2025450
Ref: ggf2026748
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Node: Introduction to graphs2027432
Node: Functions and Variables for graphs2028545
Ref: create_graph2028785
Ref: copy_graph2030675
Ref: circulant_graph2030745
Ref: clebsch_graph2031326
Ref: complement_graph2031390
Ref: complete_bipartite_graph2031474
Ref: complete_graph2031586
Ref: cycle_digraph2031671
Ref: cycle_graph2031755
Ref: cuboctahedron_graph2031828
Ref: cube_graph2031907
Ref: dodecahedron_graph2031978
Ref: empty_graph2032052
Ref: flower_snark2032131
Ref: from_adjacency_matrix2032380
Ref: frucht_graph2032487
Ref: graph_product2032549
Ref: graph_union2032798
Ref: grid_graph2032892
Ref: great_rhombicosidodecahedron_graph2032960
Ref: great_rhombicuboctahedron_graph2033066
Ref: grotzch_graph2033166
Ref: heawood_graph2033230
Ref: icosahedron_graph2033294
Ref: icosidodecahedron_graph2033366
Ref: induced_subgraph2033450
Ref: line_graph2033949
Ref: make_graph2034027
Ref: mycielski_graph2035136
Ref: new_graph2035226
Ref: path_digraph2035308
Ref: path_graph2035390
Ref: petersen_graph2035461
Ref: random_bipartite_graph2035669
Ref: random_digraph2035833
Ref: random_regular_graph2035976
Ref: random_graph2036195
Ref: random_graph12036328
Ref: random_network2036434
Ref: random_tournament2036958
Ref: random_tree2037047
Ref: small_rhombicosidodecahedron_graph2037124
Ref: small_rhombicuboctahedron_graph2037230
Ref: snub_cube_graph2037330
Ref: snub_dodecahedron_graph2037398
Ref: truncated_cube_graph2037482
Ref: truncated_dodecahedron_graph2037560
Ref: truncated_icosahedron_graph2037654
Ref: truncated_tetrahedron_graph2037746
Ref: tutte_graph2037838
Ref: underlying_graph2037898
Ref: wheel_graph2037997
Ref: adjacency_matrix2038127
Ref: average_degree2038692
Ref: biconnected_components2039021
Ref: bipartition2039518
Ref: chromatic_index2039919
Ref: chromatic_number2040175
Ref: clear_edge_weight2040503
Ref: clear_vertex_label2040943
Ref: connected_components2041424
Ref: diameter2041757
Ref: edge_coloring2041973
Ref: degree_sequence2042728
Ref: edge_connectivity2042987
Ref: edges2043116
Ref: get_edge_weight2043367
Ref: get_vertex_label2044096
Ref: graph_charpoly2044402
Ref: graph_center2044772
Ref: graph_eigenvalues2045013
Ref: graph_periphery2045376
Ref: graph_size2045631
Ref: graph_order2045877
Ref: girth2046128
Ref: hamilton_cycle2046366
Ref: hamilton_path2046748
Ref: isomorphism2047141
Ref: in_neighbors2047645
Ref: is_biconnected2048021
Ref: is_bipartite2048366
Ref: is_connected2048726
Ref: is_digraph2049016
Ref: is_edge_in_graph2049355
Ref: is_graph2049968
Ref: is_graph_or_digraph2050292
Ref: is_isomorphic2050673
Ref: is_planar2051076
Ref: is_sconnected2051610
Ref: is_vertex_in_graph2051987
Ref: is_tree2052387
Ref: laplacian_matrix2052736
Ref: max_clique2053439
Ref: max_degree2053705
Ref: max_flow2054090
Ref: max_independent_set2055123
Ref: max_matching2055464
Ref: min_degree2055870
Ref: min_edge_cut2056254
Ref: min_vertex_cover2056382
Ref: min_vertex_cut2056478
Ref: minimum_spanning_tree2056612
Ref: neighbors2056927
Ref: odd_girth2057203
Ref: out_neighbors2057563
Ref: planar_embedding2057941
Ref: print_graph2058486
Ref: radius2059187
Ref: set_edge_weight2059397
Ref: set_vertex_label2059883
Ref: shortest_path2060375
Ref: shortest_weighted_path2060742
Ref: strong_components2061359
Ref: topological_sort2061726
Ref: vertex_connectivity2062267
Ref: vertex_degree2062400
Ref: vertex_distance2062502
Ref: vertex_eccentricity2062918
Ref: vertex_in_degree2063202
Ref: vertex_out_degree2063765
Ref: vertices2064148
Ref: vertex_coloring2064374
Ref: wiener_index2064860
Ref: add_edge2065105
Ref: add_edges2065504
Ref: add_vertex2065894
Ref: add_vertices2066246
Ref: connect_vertices2066354
Ref: contract_edge2066913
Ref: remove_edge2067704
Ref: remove_vertex2068075
Ref: dimacs_export2068238
Ref: dimacs_import2068496
Ref: graph6_decode2068593
Ref: graph6_encode2068704
Ref: graph6_export2068814
Ref: graph6_import2068948
Ref: sparse6_decode2069056
Ref: sparse6_encode2069174
Ref: sparse6_export2069291
Ref: sparse6_import2069427
Ref: draw_graph2069580
Ref: draw_graph_program2072812
Ref: show_id2072992
Ref: show_label2073108
Ref: label_alignment_graphs2073230
Ref: show_weight2073415
Ref: vertex_type2073536
Ref: vertex_size2073725
Ref: vertex_color2073788
Ref: show_vertices2073870
Ref: show_vertex_type2073995
Ref: show_vertex_size2074192
Ref: show_vertex_color2074279
Ref: vertex_partition2074394
Ref: vertex_coloring_variable2074632
Ref: edge_color2074804
Ref: edge_width2074881
Ref: edge_type2074941
Ref: show_edges2075074
Ref: show_edge_color2075189
Ref: show_edge_width2075296
Ref: show_edge_type2075377
Ref: edge_partition2075531
Ref: edge_coloring_variable2075735
Ref: redraw2075897
Ref: head_angle_graphs2076090
Ref: head_length_graphs2076219
Ref: spring_embedding_depth2076351
Ref: terminal_graphs2076506
Ref: file_name_graphs2076634
Ref: program2076728
Ref: fixed_vertices2077170
Ref: vertices_to_path2077355
Ref: vertices_to_cycle2077497
Node: grobner-pkg2077641
Node: Introduction to grobner2077834
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Ref: poly_add2082523
Ref: poly_subtract2082774
Ref: poly_multiply2083042
Ref: poly_s_polynomial2083289
Ref: poly_primitive_part2083451
Ref: poly_normalize2083697
Ref: poly_expand2084003
Ref: poly_expt2085484
Ref: poly_content2085781
Ref: poly_pseudo_divide2085989
Ref: poly_exact_divide2086613
Ref: poly_normal_form2086833
Ref: poly_buchberger_criterion2087024
Ref: poly_buchberger2087345
Ref: poly_reduction2088044
Ref: poly_minimization2088256
Ref: poly_normalize_list2088554
Ref: poly_grobner2088804
Ref: poly_reduced_grobner2088971
Ref: poly_depends_p2089154
Ref: poly_elimination_ideal2089296
Ref: poly_colon_ideal2089566
Ref: poly_ideal_intersection2089794
Ref: poly_lcm2089957
Ref: poly_gcd2090075
Ref: poly_grobner_equal2090717
Ref: poly_grobner_subsetp2091406
Ref: poly_grobner_member2091699
Ref: poly_ideal_saturation12092171
Ref: poly_ideal_saturation2092532
Ref: poly_ideal_polysaturation12092923
Ref: poly_ideal_polysaturation2093356
Ref: poly_saturation_extension2093670
Ref: poly_polysaturation_extension2093844
Node: impdiff-pkg2093944
Node: Functions and Variables for impdiff2094109
Ref: implicit_derivative2094295
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Node: Introduction to interpol2094950
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Ref: cspline2103748
Ref: ratinterpol2108382
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Node: Introduction to lapack2110017
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Ref: dgeqrf2113490
Ref: dgesv2114999
Ref: dgesvd2118466
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Ref: zheev2130009
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Node: Introduction to lbfgs2130663
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Ref: lbfgs_ncorrections2146874
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Ref: Lindstedt2147454
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Node: Introduction to linearalgebra2149019
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Ref: blockmatrixp2154296
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Ref: columnswap2154658
Ref: columnspace2154816
Ref: cholesky2155114
Ref: ctranspose2155429
Ref: diag_matrix2155636
Ref: dotproduct2156611
Ref: eigens_by_jacobi2156823
Ref: get_lu_factors2159959
Ref: hankel2160264
Ref: hessian2160553
Ref: hilbert_matrix2161682
Ref: identfor2161820
Ref: invert_by_lu2162400
Ref: jacobian2162569
Ref: kronecker_product2163527
Ref: listp2163635
Ref: locate_matrix_entry2163994
Ref: lu_backsub2164946
Ref: lu_factor2169255
Ref: mat_cond2174743
Ref: mat_norm2175270
Ref: linearalgebra_matrixp2175591
Ref: matrix_size2175987
Ref: mat_fullunblocker2176131
Ref: mat_trace2176302
Ref: mat_unblocker2176543
Ref: nullspace2177946
Ref: nullity2178236
Ref: orthogonal_complement2178337
Ref: polynomialp2178614
Ref: polytocompanion2180317
Ref: ptringularize2180611
Ref: rowp2181053
Ref: linalg_rank2181283
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Ref: toeplitz2181933
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Node: Introduction to lsquares2183971
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Ref: lsquares_estimates_approximate2193479
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Ref: lsquares_residuals2200857
Ref: lsquares_residual_mse2203013
Ref: plsquares2205100
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Node: Introduction to minpack2209450
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Ref: makeOrders_func2214333
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Node: Introduction to mnewton2215352
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Ref: write_binary_data2231763
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Node: Introduction to ODEPACK2233082
Ref: Introduction to ODEPACK-Footnote-12234271
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Ref: opsubst_func2244232
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Node: Introduction to orthogonal polynomials2246770
Ref: Floating point Evaluation2257540
Node: Functions and Variables for orthogonal polynomials2264779
Ref: assoc_legendre_p2265039
Ref: assoc_legendre_q2265307
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Ref: chebyshev_u2265681
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Ref: hermite2266019
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Ref: jacobi_p2266281
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Ref: orthopoly_weight2268699
Ref: pochhammer2269444
Ref: spherical_bessel_j2271275
Ref: spherical_bessel_y2271469
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Ref: rombergabs2290870
Ref: rombergit2291452
Ref: rombergmin2291908
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Ref: arithsum2314939
Ref: geosum2315099
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Ref: gd2315546
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Ref: simplify_products2326535
Ref: simplify_sum2326749
Ref: solve_rec2327583
Ref: solve_rec_rat2330583
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Ref: summand_to_rec2331730
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Node: Introduction to stats2333298
Node: Functions and Variables for inference_result2334467
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Ref: inferencep2336600
Ref: items_inference2336751
Ref: take_inference2337484
Node: Functions and Variables for stats2339356
Ref: stats_numer2339619
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Ref: test_means_difference2344395
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Ref: test_variance_ratio2352027
Ref: test_proportion2354872
Ref: test_proportions_difference2358497
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Ref: test_rank_sum2367468
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Ref: pdf_signed_rank2375358
Ref: cdf_signed_rank2375598
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Ref: cdf_rank_sum2376089
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Node: Functions and Variables for stirling2376509
Ref: stirling2376700
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Node: Introduction to String Processing2379502
Node: Input and Output2382940
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Ref: flength2383893
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Ref: unicode_to_utf82407097
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Ref: us_ascii_only2407800
Ref: utf8_to_unicode2408762
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Ref: charlist2409564
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Ref: number_to_octets2427571
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Ref: oid_to_octets2430567
Ref: sha1sum2430719
Ref: sha256sum2431957
Ref: string_to_octets2432722
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Ref: complex_number_p2441720
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