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: 1003804
maxima.info-3: 2002414

Tag Table:
(Indirect)
Node: Top265
Node: Introduction to Maxima16952
Node: Bug Detection and Reporting23760
Node: Functions and Variables for Bug Detection and Reporting24002
Ref: run_testsuite24242
Ref: testsuite_files26512
Ref: bug_report27359
Ref: build_info27753
Node: Help30178
Node: Documentation30359
Node: Functions and Variables for Help31380
Ref: apropos31550
Ref: demo33333
Ref: describe34570
Ref: example37511
Ref: manual_demo38948
Node: Command Line39158
Node: Introduction to Command Line39416
Node: Functions and Variables for Command Line39630
Ref: __39891
Ref: _41700
Ref: %43219
Ref: %%43847
Ref: %th45499
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Ref: read61914
Ref: readonly62484
Ref: reset63170
Ref: showtime63651
Ref: to_lisp64025
Ref: eval_string_lisp65135
Ref: values65841
Node: Functions and Variables for Display66946
Ref: %edispflag67160
Ref: absboxchar67788
Ref: declare_index_properties68122
Ref: get_index_properties71730
Ref: remove_index_properties71907
Ref: display_index_separator72201
Ref: disp77453
Ref: display78145
Ref: display2d79029
Ref: display_format_internal80806
Ref: with_default_2d_display81516
Ref: dispterms81965
Ref: expt82954
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Ref: exptdispflag83281
Ref: grind83985
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Ref: obase95179
Ref: pfeformat96366
Ref: powerdisp97207
Ref: print98016
Ref: sqrtdispflag99395
Ref: stardisp99560
Ref: ttyoff99740
Node: Data Types and Structures100110
Node: Numbers100357
Node: Introduction to Numbers100579
Node: Functions and Variables for Numbers101343
Ref: bfloat101539
Ref: bfloatp103710
Ref: bftorat103822
Ref: bftrunc104965
Ref: evenp105276
Ref: float105501
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Ref: floatnump105999
Ref: fpprec106124
Ref: fpprintprec106407
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Ref: nonnegintegerp108951
Ref: numberp109064
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Ref: oddp112633
Ref: ratepsilon112854
Ref: rationalize113142
Ref: ratnump114619
Node: Strings114765
Node: Introduction to Strings114971
Node: Functions and Variables for Strings117094
Ref: concat117290
Ref: sconcat118775
Ref: string119431
Ref: stringdisp119738
Node: Constants120524
Node: Functions and Variables for Constants120706
Ref: %e120896
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Node: Lists125627
Node: Introduction to Lists125863
Node: Functions and Variables for Lists126732
Ref: [126963
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Ref: lreduce148001
Ref: makelist149392
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Ref: reverse155603
Ref: rreduce155852
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Ref: sixth157611
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Ref: sublist163813
Ref: sublist_indices164143
Ref: tenth165241
Ref: third165369
Ref: tree_reduce165496
Ref: unique166858
Ref: xreduce167245
Node: Performance considerations for Lists168994
Node: Arrays171261
Ref: hashed array171426
Ref: hashed arrays171426
Ref: undeclared array171426
Ref: undeclared arrays171426
Node: Functions and Variables for Arrays172638
Ref: array172813
Ref: arrayapply173657
Ref: arrayinfo173928
Ref: arraymake178450
Ref: arrays180255
Ref: arraysetapply181444
Ref: fillarray181670
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Ref: make_array187646
Ref: rearray189828
Ref: remarray190210
Ref: subvar190793
Ref: subvarp191533
Ref: use_fast_arrays191656
Ref: translate_fast_arrays192362
Node: Structures192838
Node: Introduction to Structures193040
Node: Functions and Variables for Structures194711
Ref: structures194922
Ref: defstruct195050
Ref: new196631
Node: Expressions199055
Node: Introduction to Expressions199324
Node: Nouns and Verbs200919
Node: Identifiers203350
Node: Inequality205571
Node: Functions and Variables for Expressions205892
Ref: alias206087
Ref: aliases206316
Ref: allbut206589
Ref: args207629
Ref: atom208799
Ref: box209077
Ref: boxchar211254
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Ref: copy212160
Ref: disolate212984
Ref: dispform213496
Ref: dpart215430
Ref: exptisolate216041
Ref: exptsubst216261
Ref: freeof216978
Ref: inflag220874
Ref: inpart221693
Ref: isolate222977
Ref: isolate_wrt_times223888
Ref: listconstvars224678
Ref: listdummyvars225211
Ref: listofvars225934
Ref: lfreeof226524
Ref: lpart227002
Ref: mainvar227224
Ref: noun227990
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Ref: op229608
Ref: operatorp231366
Ref: option_opsubst231733
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Ref: optimprefix232996
Ref: ordergreat233159
Ref: orderless233159
Ref: ordergreatp233997
Ref: orderlessp233997
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Ref: partition239361
Ref: partswitch239948
Ref: pickapart240178
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Ref: psubst243392
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Ref: reveal246780
Ref: sqrtdenest249360
Ref: sublis250234
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Ref: subnumsimp251001
Ref: subst251614
Ref: substinpart255114
Ref: substpart257581
Ref: symbolp258774
Ref: unorder258908
Ref: verbify260353
Node: Operators260744
Node: Introduction to operators261049
Node: Arithmetic operators265320
Ref: +265500
Ref: -265500
Ref: *265500
Ref: /265500
Ref: ^265500
Ref: **272617
Ref: ^^273418
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Ref: and277679
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Ref: #280587
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Ref: :285798
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Node: User defined operators298263
Ref: infix298415
Ref: matchfix302721
Ref: function_nary307438
Ref: nofix308053
Ref: postfix308622
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Node: Evaluation309517
Node: Functions and Variables for Evaluation309688
Ref: quote309879
Ref: quote-quote314551
Ref: ev320056
Ref: eval329088
Ref: evflag329646
Ref: evfun332217
Ref: infeval335146
Ref: noeval335531
Ref: nouns335757
Ref: pred336071
Node: Simplification336446
Node: Introduction to Simplification336677
Node: Functions and Variables for Simplification347006
Ref: additive347233
Ref: antisymmetric348192
Ref: combine349249
Ref: commutative349835
Ref: demoivre350592
Ref: function_distrib351319
Ref: distribute_over352228
Ref: domain354504
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Ref: expand355385
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Ref: expandwert_denom360277
Ref: expandwrt_factored360699
Ref: expon361059
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Ref: expop361954
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Ref: linear362637
Ref: maxnegex364365
Ref: maxposex364557
Ref: multiplicative364742
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Ref: define_opproperty371043
Ref: outative372641
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Ref: symmetric378483
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Node: Mathematical Functions379971
Node: Functions for Numbers380327
Ref: abs380531
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Ref: hstep389968
Ref: lmax390263
Ref: lmin390459
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Node: Functions for Complex Numbers395736
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Node: Combinatorial Functions404691
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Ref: factorial_expand411458
Ref: genfact411710
Ref: minfactorial411953
Ref: sumsplitfact412500
Node: Root Exponential and Logarithmic Functions413514
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Ref: %enumer415879
Ref: exp416965
Ref: li417979
Ref: log420558
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Ref: logcontract423533
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Ref: lognegint427818
Ref: logsimp427990
Ref: plog428155
Ref: sqrt428302
Node: Trigonometric Functions428464
Node: Introduction to Trigonometric428769
Node: Functions and Variables for Trigonometric429862
Ref: %piargs430100
Ref: %iargs432093
Ref: acos433137
Ref: acosh433183
Ref: acot433241
Ref: acoth433290
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Ref: acsch433399
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Ref: cos434377
Ref: cosh434418
Ref: cot434471
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Ref: halfangles434669
Ref: sec436982
Ref: sech437023
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Ref: tan437166
Ref: tanh437208
Ref: trigexpand437262
Ref: trigexpandplus438726
Ref: trigexpandtimes439082
Ref: triginverses439448
Ref: trigreduce439975
Ref: trigsign440605
Ref: trigsimp440879
Ref: trigrat441296
Node: Random Numbers444190
Ref: make_random_state444336
Ref: set_random_state445111
Ref: random445260
Node: Maxima's Database446925
Node: Introduction to Maxima's Database447245
Node: Functions and Variables for Properties447484
Ref: alphabetic447749
Ref: bindtest448403
Ref: constant448983
Ref: constantp449559
Ref: declare450847
Ref: nary454269
Ref: decreasing456228
Ref: increasing456228
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Ref: posfun462935
Ref: printprops463108
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Ref: qput465243
Ref: rational466065
Ref: irrational466065
Ref: real466291
Ref: imaginary466291
Ref: complex466291
Ref: rem466569
Ref: remove466873
Ref: scalar468533
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Node: Functions and Variables for Facts468988
Ref: activate469248
Ref: activecontexts469660
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Ref: asksign470619
Ref: assume471033
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Node: Functions and Variables for Predicates485975
Ref: charfun486198
Ref: compare486824
Ref: equal488014
Ref: notequal492406
Ref: unknown493345
Ref: zeroequiv493503
Node: Plotting494715
Node: Introduction to Plotting495021
Node: Plotting Formats497772
Node: Functions and Variables for Plotting501439
Ref: geomview_command501655
Ref: get_plot_option502121
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Ref: gnuplot_pdf_term_command560879
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Node: File Input and Output564427
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Ref: file_output_append572439
Ref: filename_merge573096
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Node: Polynomials605657
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Node: Introduction to Special Functions679944
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Ref: specint730272
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Node: Elliptic Functions738969
Node: Introduction to Elliptic Functions and Integrals739278
Node: Functions and Variables for Elliptic Functions743076
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Node: Functions and Variables for Elliptic Integrals745743
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Node: Functions and Variables for Limits749545
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Ref: limit749964
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Ref: tlimit752400
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Ref: gruntz753149
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Node: Functions and Variables for Differentiation754743
Ref: antid754961
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Ref: symbol_diff777290
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Ref: laplace782592
Node: Integration787354
Node: Introduction to Integration787634
Node: Functions and Variables for Integration788650
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Ref: integrate798426
Ref: integration_constant807177
Ref: integration_constant_counter808057
Ref: integrate_use_rootsof809419
Ref: ldefint811805
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Ref: residue814103
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Node: Introduction to QUADPACK815985
Ref: Introduction to QUADPACK-Footnote-1819761
Ref: Introduction to QUADPACK-Footnote-2819827
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Ref: Introduction to QUADPACK-Footnote-5819999
Ref: Introduction to QUADPACK-Footnote-6820039
Ref: Introduction to QUADPACK-Footnote-7820081
Node: Functions and Variables for QUADPACK820266
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Node: Equations843208
Node: Functions and Variables for Equations843387
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Ref: allroots850566
Ref: bfallroots852977
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Ref: breakup854126
Ref: dimension857436
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Ref: funcsolve858023
Ref: globalsolve858981
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Ref: ieqnprint865163
Ref: lhs865875
Ref: linsolve867526
Ref: linsolvewarn870730
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Ref: nroots871525
Ref: nthroot871943
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Ref: rootscontract877320
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Ref: solvedecomposes887437
Ref: solveexplicit887625
Ref: solvefactors887883
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Ref: solveradcan888465
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Node: Introduction to Differential Equations889255
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Ref: bc2890151
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Ref: ic2893360
Ref: ode2894039
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Ref: fft903381
Ref: real_fft908009
Ref: inverse_real_fft908790
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Ref: bf_inverse_real_fft909789
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Ref: fftpack5_inverse_real_fft914006
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Ref: find_root_rel915882
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Ref: rk933315
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Ref: invert971340
Ref: list_matrix_entries972506
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Ref: matrix_element_add980179
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Ref: vect_cross997143
Ref: zeromatrix997373
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Node: Introduction to Affine997673
Node: Functions and Variables for Affine997916
Ref: fast_linsolve998105
Ref: grobner_basis998789
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Ref: declare_weights1000311
Ref: nc_degree1000562
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Ref: monomial_dimensions1002305
Ref: extract_linear_equations1002475
Ref: list_nc_monomials1002871
Ref: all_dotsimp_denoms1003169
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Node: Introduction to itensor1003983
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Ref: dispcon1017121
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Node: Introduction to ctensor1089021
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Ref: csetup1093729
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Ref: contragrad1125906
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Ref: niceindicespref1181666
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Ref: forintsin1209017
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Ref: zn_primroot_p1266545
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Ref: todd_coxeter1307809
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Ref: elapsed_run_time1327795
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Node: Introduction to Rules and Patterns1336434
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Node: Introduction to Function Definition1433238
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Ref: alt_display_output_type1571728
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Node: Introduction to asympa1580939
Ref: asympa1581127
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Ref: augmented_lagrangian_method1582116
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Ref: bernstein_explicit1588089
Ref: multibernstein_poly1588750
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Ref: bernstein_expand1590465
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Ref: bit_not1591611
Ref: bit_and1592156
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Ref: bit_rsh1595509
Ref: bit_length1596289
Ref: bit_onep1596816
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Ref: bode_gain1598724
Ref: bode_phase1600136
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Ref: clebsch_gordan1606192
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Ref: racah_w1606486
Ref: wigner_3j1606629
Ref: wigner_6j1606790
Ref: wigner_9j1606886
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Ref: fmin_cobyla1609930
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Ref: perm_lex_unrank1621119
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Ref: perm_parity1621859
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Ref: random_perm1628088
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Ref: contrib_ode1634810
Ref: odelin1634969
Ref: ode_check1635751
Ref: gauss_a1637279
Ref: gauss_b1637855
Ref: dgauss_a1637923
Ref: dgauss_b1638051
Ref: kummer_m1638179
Ref: kummer_u1638609
Ref: dkummer_m1638796
Ref: dkummer_u1638911
Ref: bessel_simplify1639026
Ref: expintegral_e_simplify1640205
Node: Possible improvements to contrib_ode1640452
Node: Test cases for contrib_ode1641596
Node: References for contrib_ode1642379
Node: descriptive-pkg1643924
Node: Introduction to descriptive1644249
Node: Functions and Variables for data manipulation1649411
Ref: build_sample1649706
Ref: continuous_freq1652059
Ref: discrete_freq1654816
Ref: standardize1656160
Ref: subsample1656541
Ref: transform_sample1662779
Node: Functions and Variables for descriptive statistics1664367
Ref: mean1664691
Ref: var1665564
Ref: var11666178
Ref: std1667033
Ref: std11667687
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Ref: central_moment1669289
Ref: cv1670252
Ref: smin1670914
Ref: smax1671556
Ref: range1672201
Ref: quantile1672677
Ref: median1673587
Ref: qrange1674327
Ref: mean_deviation1675079
Ref: median_deviation1676048
Ref: harmonic_mean1676947
Ref: geometric_mean1677886
Ref: kurtosis1678817
Ref: skewness1679706
Ref: pearson_skewness1680607
Ref: quartile_skewness1681448
Ref: km1682369
Ref: cdf_empirical1683839
Ref: cov1684861
Ref: cov11686131
Ref: global_variances1687401
Ref: cor1689275
Ref: list_correlations1691473
Ref: principal_components1694694
Node: Functions and Variables for statistical graphs1698983
Ref: barsplot1699245
Ref: barsplot_description1703911
Ref: boxplot1704815
Ref: boxplot_description1708636
Ref: histogram1708823
Ref: histogram_description1712683
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Ref: scatterplot1715394
Ref: scatterplot_description1717357
Ref: starplot1717557
Ref: starplot_description1719946
Ref: stemplot1720135
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Ref: diag_function1721470
Ref: JF1722737
Ref: jordan1723557
Ref: dispJordan1726023
Ref: minimalPoly1727203
Ref: ModeMatrix1727963
Ref: mat_function1729725
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Node: Introduction to distrib1734094
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Ref: cdf_normal1740790
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Ref: var_normal1742198
Ref: std_normal1742394
Ref: skewness_normal1742598
Ref: kurtosis_normal1742825
Ref: random_normal1743052
Ref: pdf_student_t1743552
Ref: cdf_student_t1743785
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Ref: var_student_t1744897
Ref: std_student_t1745208
Ref: skewness_student_t1745400
Ref: kurtosis_student_t1745627
Ref: random_student_t1745826
Ref: pdf_noncentral_student_t1746655
Ref: cdf_noncentral_student_t1747762
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Ref: var_noncentral_student_t1749259
Ref: std_noncentral_student_t1749532
Ref: skewness_noncentral_student_t1749815
Ref: kurtosis_noncentral_student_t1750105
Ref: random_noncentral_student_t1750395
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Ref: cdf_chi21751916
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Ref: var_chi21753098
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Ref: var_noncentral_chi21756137
Ref: std_noncentral_chi21756320
Ref: skewness_noncentral_chi21756518
Ref: kurtosis_noncentral_chi21756723
Ref: random_noncentral_chi21756928
Ref: pdf_f1757340
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Ref: var_f1758531
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Ref: skewness_f1758893
Ref: kurtosis_f1759089
Ref: random_f1759285
Ref: pdf_exp1759912
Ref: cdf_exp1760291
Ref: quantile_exp1760677
Ref: mean_exp1761311
Ref: var_exp1761690
Ref: std_exp1762118
Ref: skewness_exp1762514
Ref: kurtosis_exp1762834
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Ref: pdf_lognormal1763528
Ref: cdf_lognormal1763748
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Ref: var_lognormal1765072
Ref: std_lognormal1765254
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Ref: pdf_gamma1766308
Ref: cdf_gamma1766522
Ref: quantile_gamma1766991
Ref: mean_gamma1767289
Ref: var_gamma1767463
Ref: std_gamma1767639
Ref: skewness_gamma1767831
Ref: kurtosis_gamma1768030
Ref: random_gamma1768229
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Ref: cdf_beta1769175
Ref: quantile_beta1769600
Ref: mean_beta1769896
Ref: var_beta1770068
Ref: std_beta1770242
Ref: skewness_beta1770432
Ref: kurtosis_beta1770629
Ref: random_beta1770826
Ref: pdf_continuous_uniform1771313
Ref: cdf_continuous_uniform1771551
Ref: quantile_continuous_uniform1771794
Ref: mean_continuous_uniform1772135
Ref: var_continuous_uniform1772333
Ref: std_continuous_uniform1772539
Ref: skewness_continuous_uniform1772755
Ref: kurtosis_continuous_uniform1772978
Ref: random_continuous_uniform1773201
Ref: pdf_logistic1773678
Ref: cdf_logistic1773897
Ref: quantile_logistic1774121
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Ref: var_logistic1774606
Ref: std_logistic1774787
Ref: skewness_logistic1774984
Ref: kurtosis_logistic1775188
Ref: random_logistic1775392
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Ref: cdf_pareto1776003
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Ref: var_pareto1776702
Ref: std_pareto1776888
Ref: skewness_pareto1777084
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Ref: random_pareto1777490
Ref: pdf_weibull1777881
Ref: cdf_weibull1778099
Ref: quantile_weibull1778322
Ref: mean_weibull1778626
Ref: var_weibull1778804
Ref: std_weibull1778984
Ref: skewness_weibull1779180
Ref: kurtosis_weibull1779383
Ref: random_weibull1779586
Ref: pdf_rayleigh1779979
Ref: cdf_rayleigh1780415
Ref: quantile_rayleigh1780853
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Ref: var_rayleigh1781778
Ref: std_rayleigh1782304
Ref: skewness_rayleigh1782812
Ref: kurtosis_rayleigh1783476
Ref: random_rayleigh1784120
Ref: pdf_laplace1784506
Ref: cdf_laplace1784722
Ref: quantile_laplace1784943
Ref: mean_laplace1785245
Ref: var_laplace1785421
Ref: std_laplace1785599
Ref: skewness_laplace1785793
Ref: kurtosis_laplace1785994
Ref: random_laplace1786195
Ref: pdf_cauchy1786586
Ref: cdf_cauchy1786800
Ref: quantile_cauchy1787019
Ref: random_cauchy1787319
Ref: pdf_gumbel1787706
Ref: cdf_gumbel1787920
Ref: quantile_gumbel1788139
Ref: mean_gumbel1788439
Ref: var_gumbel1788761
Ref: std_gumbel1788937
Ref: skewness_gumbel1789129
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Ref: pdf_general_finite_discrete1790511
Ref: cdf_general_finite_discrete1791364
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Ref: var_general_finite_discrete1792680
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Ref: skewness_general_finite_discrete1793124
Ref: kurtosis_general_finite_discrete1793358
Ref: random_general_finite_discrete1793592
Ref: pdf_binomial1794230
Ref: cdf_binomial1794494
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Ref: mean_binomial1795313
Ref: var_binomial1795533
Ref: std_binomial1795756
Ref: skewness_binomial1795989
Ref: kurtosis_binomial1796229
Ref: random_binomial1796469
Ref: pdf_poisson1797034
Ref: cdf_poisson1797248
Ref: quantile_poisson1797592
Ref: mean_poisson1797889
Ref: var_poisson1798059
Ref: std_poisson1798232
Ref: skewness_poisson1798420
Ref: kurtosis_poisson1798615
Ref: random_poisson1798814
Ref: pdf_bernoulli1799358
Ref: cdf_bernoulli1799712
Ref: quantile_bernoulli1799943
Ref: mean_bernoulli1800258
Ref: var_bernoulli1800572
Ref: std_bernoulli1800892
Ref: skewness_bernoulli1801232
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Ref: random_bernoulli1802140
Ref: pdf_geometric1802584
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Ref: quantile_discrete_uniform1806626
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Ref: var_discrete_uniform1807200
Ref: std_discrete_uniform1807422
Ref: skewness_discrete_uniform1807654
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Ref: pdf_hypergeometric1808619
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Ref: std_hypergeometric1810444
Ref: skewness_hypergeometric1810717
Ref: kurtosis_hypergeometric1810997
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Ref: pdf_negative_binomial1811901
Ref: cdf_negative_binomial1812179
Ref: quantile_negative_binomial1812601
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Ref: var_negative_binomial1813206
Ref: std_negative_binomial1813443
Ref: skewness_negative_binomial1813690
Ref: kurtosis_negative_binomial1813944
Ref: random_negative_binomial1814198
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Ref: take_channel1954207
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Ref: drawdf1970237
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Ref: remove_vertex2127837
Ref: dimacs_export2128000
Ref: dimacs_import2128258
Ref: graph6_decode2128355
Ref: graph6_encode2128466
Ref: graph6_export2128576
Ref: graph6_import2128710
Ref: sparse6_decode2128818
Ref: sparse6_encode2128936
Ref: sparse6_export2129053
Ref: sparse6_import2129189
Ref: draw_graph2129342
Ref: draw_graph_program2132574
Ref: show_id2132754
Ref: show_label2132870
Ref: label_alignment_graphs2132992
Ref: show_weight2133177
Ref: vertex_type2133298
Ref: vertex_size2133487
Ref: vertex_color2133550
Ref: show_vertices2133632
Ref: show_vertex_type2133757
Ref: show_vertex_size2133954
Ref: show_vertex_color2134041
Ref: vertex_partition2134156
Ref: vertex_coloring_variable2134394
Ref: edge_color2134566
Ref: edge_width2134643
Ref: edge_type2134703
Ref: show_edges2134836
Ref: show_edge_color2134951
Ref: show_edge_width2135058
Ref: show_edge_type2135139
Ref: edge_partition2135293
Ref: edge_coloring_variable2135497
Ref: redraw2135659
Ref: head_angle_graphs2135852
Ref: head_length_graphs2135981
Ref: spring_embedding_depth2136113
Ref: terminal_graphs2136268
Ref: file_name_graphs2136396
Ref: program2136490
Ref: fixed_vertices2136932
Ref: vertices_to_path2137117
Ref: vertices_to_cycle2137259
Node: grobner-pkg2137403
Node: Introduction to grobner2137596
Node: Functions and Variables for grobner2139390
Ref: poly_add2142287
Ref: poly_subtract2142538
Ref: poly_multiply2142806
Ref: poly_s_polynomial2143053
Ref: poly_primitive_part2143215
Ref: poly_normalize2143461
Ref: poly_expand2143767
Ref: poly_expt2145248
Ref: poly_content2145545
Ref: poly_pseudo_divide2145753
Ref: poly_exact_divide2146377
Ref: poly_normal_form2146597
Ref: poly_buchberger_criterion2146788
Ref: poly_buchberger2147109
Ref: poly_reduction2147808
Ref: poly_minimization2148020
Ref: poly_normalize_list2148318
Ref: poly_grobner2148568
Ref: poly_reduced_grobner2148735
Ref: poly_depends_p2148918
Ref: poly_elimination_ideal2149060
Ref: poly_colon_ideal2149330
Ref: poly_ideal_intersection2149558
Ref: poly_lcm2149721
Ref: poly_gcd2149839
Ref: poly_grobner_equal2150481
Ref: poly_grobner_subsetp2151170
Ref: poly_grobner_member2151463
Ref: poly_ideal_saturation12151935
Ref: poly_ideal_saturation2152296
Ref: poly_ideal_polysaturation12152687
Ref: poly_ideal_polysaturation2153119
Ref: poly_saturation_extension2153433
Ref: poly_polysaturation_extension2153607
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Node: Introduction to hompack2153899
Node: Functions and Variables for hompack2154173
Ref: hompack_polsys2154353
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Ref: implicit_derivative2161675
Node: interpol-pkg2162134
Node: Introduction to interpol2162330
Node: Functions and Variables for interpol2162744
Ref: lagrange2162947
Ref: charfun22167130
Ref: linearinterpol2168451
Ref: cspline2171128
Ref: ratinterpol2175762
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Node: Introduction to lapack2177397
Node: Functions and Variables for lapack2177725
Ref: dgeev2177918
Ref: dgeqrf2180870
Ref: dgesv2182379
Ref: dgesvd2185846
Ref: dlange2191042
Ref: zlange2191042
Ref: dgemm2191821
Ref: zgeev2197249
Ref: zheev2197390
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Node: Introduction to lbfgs2198044
Node: Functions and Variables for lbfgs2199075
Ref: lbfgs_func2199257
Ref: lbfgs_nfeval_max2213975
Ref: lbfgs_ncorrections2214265
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Ref: Lindstedt2214845
Node: linearalgebra-pkg2216185
Node: Introduction to linearalgebra2216410
Node: Functions and Variables for linearalgebra2220897
Ref: addmatrices2221101
Ref: blockmatrixp2221613
Ref: columnop2221737
Ref: columnswap2221975
Ref: columnspace2222133
Ref: cholesky2222431
Ref: ctranspose2222746
Ref: diag_matrix2222953
Ref: dotproduct2223928
Ref: eigens_by_jacobi2224140
Ref: get_lu_factors2227276
Ref: hankel2227581
Ref: hessian2227870
Ref: hilbert_matrix2228999
Ref: identfor2229137
Ref: invert_by_lu2229717
Ref: jacobian2229886
Ref: kronecker_product2230844
Ref: listp2230952
Ref: locate_matrix_entry2231311
Ref: lu_backsub2232263
Ref: lu_factor2236572
Ref: mat_cond2242058
Ref: mat_norm2242585
Ref: linearalgebra_matrixp2242906
Ref: matrix_size2243302
Ref: mat_fullunblocker2243446
Ref: mat_trace2243617
Ref: mat_unblocker2243858
Ref: nullspace2245261
Ref: nullity2245551
Ref: orthogonal_complement2245652
Ref: polytocompanion2245929
Ref: ptringularize2246223
Ref: rowp2246665
Ref: linalg_rank2246895
Ref: rowswap2247396
Ref: toeplitz2247545
Ref: vandermonde_matrix2248379
Ref: zerofor2248539
Ref: zeromatrixp2249086
Node: lsquares-pkg2249380
Node: Introduction to lsquares2249583
Node: Functions and Variables for lsquares2249925
Ref: lsquares_estimates2250128
Ref: lsquares_estimates_exact2256653
Ref: lsquares_estimates_approximate2258970
Ref: lsquares_mse2262006
Ref: lsquares_residuals2266352
Ref: lsquares_residual_mse2268510
Ref: plsquares2270599
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Node: Introduction to minpack2274949
Node: Functions and Variables for minpack2275261
Ref: minpack_lsquares2275459
Ref: minpack_solve2278184
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Node: Functions and Variables for makeOrders2280561
Ref: makeOrders_func2280762
Node: mnewton-pkg2281582
Node: Introduction to mnewton2281781
Node: Functions and Variables for mnewton2282088
Ref: newtonepsilon2282286
Ref: newtonmaxiter2282598
Ref: mnewton2282823
Node: numericalio-pkg2284457
Ref: numericalio2284741
Node: Introduction to numericalio2284741
Node: Functions and Variables for plain-text input and output2289124
Ref: read_matrix2289450
Ref: read_array2291181
Ref: read_hashed_array2292092
Ref: read_nested_list2293171
Ref: read_list2294136
Ref: write_data2295120
Node: Functions and Variables for binary input and output2296654
Ref: assume_external_byte_order2296936
Ref: openr_binary2297447
Ref: openw_binary2297637
Ref: opena_binary2297849
Ref: read_binary_matrix2297991
Ref: read_binary_array2298415
Ref: read_binary_list2298908
Ref: write_binary_data2299529
Node: odepack-pkg2300611
Node: Introduction to ODEPACK2300848
Ref: Introduction to ODEPACK-Footnote-12302042
Node: Getting Started with ODEPACK2302097
Node: Functions and Variables for odepack2305495
Ref: dlsode_init2305726
Ref: dlsode_step2307220
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Node: Introduction to operatingsystem2309860
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Ref: chdir2310378
Ref: mkdir2310438
Ref: rmdir2310495
Ref: getcurrentdirectory2310552
Node: File operations2310846
Ref: copy_file2311020
Ref: rename_file2311100
Ref: delete_file2311183
Node: Environment operations2311246
Ref: getenv2311405
Node: opsubst-pkg2311654
Node: Functions and Variables for opsubst2311828
Ref: opsubst_func2312014
Node: orthopoly-pkg2314324
Node: Introduction to orthogonal polynomials2314552
Ref: Floating point Evaluation2325322
Node: Functions and Variables for orthogonal polynomials2332559
Ref: assoc_legendre_p2332819
Ref: assoc_legendre_q2333087
Ref: chebyshev_t2333292
Ref: chebyshev_u2333461
Ref: gen_laguerre2333631
Ref: hermite2333799
Ref: intervalp2333944
Ref: jacobi_p2334061
Ref: laguerre2334412
Ref: legendre_p2334577
Ref: legendre_q2334762
Ref: orthopoly_recur2334927
Ref: orthopoly_weight2336479
Ref: pochhammer2337224
Ref: spherical_bessel_j2339055
Ref: spherical_bessel_y2339249
Ref: spherical_hankel12339444
Ref: spherical_hankel22339610
Ref: spherical_harmonic2339777
Ref: unit_step2339904
Ref: ultraspherical2340170
Node: pytranslate2340367
Node: Introduction to pytranslate2340598
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Node: Extending pytranslate2345735
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Ref: binlist2dec2353019
Ref: CNOT2353153
Ref: controlled2353377
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Ref: gate_matrix2354819
Ref: linsert2355423
Ref: lreplace2355644
Ref: normalize2356065
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Ref: qmeasure2356882
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Ref: toffoli2358731
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Ref: rombergabs2367695
Ref: rombergit2368277
Ref: rombergmin2368733
Ref: rombergtol2369037
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Ref: linear_program2373023
Ref: maximize_lp2374134
Ref: minimize_lp2374401
Ref: nonnegative_lp2377880
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Ref: pivot_max_sx2378562
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Node: Package facexp2380445
Ref: facsum2381752
Ref: nextlayerfactor2383717
Ref: facsum_combine2384471
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Ref: geometric2391336
Ref: harmonic2391551
Ref: arithsum2391797
Ref: geosum2391959
Ref: gaussprob2392231
Ref: gd2392410
Ref: agd2392560
Ref: vers2392729
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Ref: reduce_consts2397924
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Ref: reduce_order2401626
Ref: simplify_products2403417
Ref: simplify_sum2403631
Ref: solve_rec2404467
Ref: solve_rec_rat2407469
Ref: product_use_gamma2408347
Ref: summand_to_rec2408618
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Ref: inference_result2411613
Ref: inferencep2413491
Ref: items_inference2413642
Ref: take_inference2414377
Node: Functions and Variables for stats2416251
Ref: stats_numer2416514
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Ref: test_means_difference2421290
Ref: test_variance2426286
Ref: test_variance_ratio2428922
Ref: test_proportion2431767
Ref: test_proportions_difference2435392
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Ref: linear_regression2448251
Node: Functions and Variables for special distributions2452011
Ref: pdf_signed_rank2452253
Ref: cdf_signed_rank2452493
Ref: pdf_rank_sum2452732
Ref: cdf_rank_sum2452984
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Ref: stirling2453595
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Node: Introduction to String Processing2456404
Node: String Input and Output2459851
Ref: close2460721
Ref: flength2460825
Ref: flush_output2461057
Ref: fposition2461216
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Ref: writebyte2473235
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Ref: charp2479692
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Ref: digitcharp2481804
Ref: lowercasep2481962
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Ref: unicode_to_utf82484301
Ref: uppercasep2484860
Ref: us_ascii_only2485004
Ref: utf8_to_unicode2485966
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Ref: charlist2486767
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Ref: tokens2498336
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Ref: base642499394
Ref: base64_decode2500385
Ref: crc24sum2500857
Ref: md5sum2502650
Ref: mgf1_sha12504569
Ref: number_to_octets2505520
Ref: octets_to_number2505983
Ref: octets_to_oid2506152
Ref: octets_to_string2506556
Ref: oid_to_octets2508516
Ref: sha1sum2508667
Ref: sha256sum2509905
Ref: string_to_octets2510670
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Ref: complex_number_p2519674
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Ref: elim_allbut2526435
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Ref: real_imagpart_to_conjugate2537327
Ref: rectform_log_if_constant2538088
Ref: simp_inequality2539130
Ref: standardize_inverse_trig2541094
Ref: subst_parallel2541625
Ref: to_poly2543772
Ref: %union2560568
Node: unit-pkg2562452
Node: Introduction to Units2562637
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Ref: setunits2566536
Ref: uforget2571466
Ref: convert2572800
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Ref: metricexpandall2584801
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