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B Documentation Categories

Category: Airy functions

Introduction to Special Functions airy_ai airy_bi airy_dai airy_dbi

Category: Algebraic equations

%rnum %rnum_list algepsilon algexact algsys backsubst breakup dispflag eliminate bf_find_root find_root find_root_abs find_root_error find_root_rel funcsolve multiplicities newton programmode realonly solve solvedecomposes solveexplicit solvefactors solvenullwarn solveradcan solvetrigwarn

Category: Arrays

array arrayapply arrayinfo arraymake arrays arraysetapply fillarray listarray make_array rearray remarray subvar translate_fast_arrays use_fast_arrays

Category: Bessel functions

%f %s Introduction to Special Functions bessel_i bessel_j bessel_k bessel_simplify bessel_y besselexpand hankel_1 hankel_2 scaled_bessel_i scaled_bessel_i0 scaled_bessel_i1 spherical_bessel_j spherical_bessel_y spherical_hankel1 spherical_hankel2

Category: Binary operations

bit_and bit_length bit_lsh bit_not bit_onep bit_or bit_rsh bit_xor

Category: Complex variables

Introduction to Numbers cabs carg cbffac conjugate demoivre exponentialize imagpart plog polarform polartorect realpart rectform recttopolar residue

Category: Console interaction

% %th ? ?? Documentation Interrupts _ appendfile closefile demo describe entermatrix example ibase kill labels labels linenum myoptions obase optionset playback printfile prompt quit ratprint read readonly refcheck setcheck setcheckbreak setval to_lisp writefile

Category: Constants

%e %gamma %i %phi %pi constant constantp false ind inf infinity minf true und zeroa zerob

Category: Continued fractions

cf cfdisrep cfexpand cflength

Category: Debugging

Keyword Commands Source Level Debugging backtrace break bug_report build_info debugmode error_size error_syms room run_testsuite share_testsuite_files showtime testsuite_files time timer timer_devalue timer_info trace trace_options untimer untrace

Category: Declarations and inferences

activate activecontexts additive alias aliases alphabetic antisymmetric askexp askinteger asksign assume assume_pos assume_pos_pred assumescalar atvalue commutative compare constant context contexts deactivate declare decreasing increasing dependencies depends even odd facts featurep features forget get gradef gradefs infix infolists integer noninteger integervalued is killcontext lassociative linear mainvar matchdeclare maybe multiplicative newcontext nonscalar numerval outative posfun printprops properties props propvars put qput rassociative irrational rational complex imaginary real rem remove scalar sign supcontext symmetric

Category: Descriptive statistics

Introduction to descriptive

Category: Differential calculus

atomgrad del depends derivabbrev derivdegree derivlist derivsubst diff express gradef gradefs hessian implicit_derivative jacobian vect_cross wronskian

Category: Differential equations

Introduction to contrib_ode Introduction to drawdf Introduction to numerical solution of differential equations Lindstedt at atvalue bc2 desolve ic1 ic2 laplace ode2 plotdf ploteq rk

Category: Differential geometry

cartan

Category: Display flags and variables

%edispflag absboxchar dispflag display2d display_format_internal error_size error_syms exptdispflag fpprintprec grind inchar labels leftjust linechar linel linenum lispdisp lmxchar negsumdispflag noundisp obase outchar pfeformat powerdisp psexpand rmxchar showtime sqrtdispflag stardisp stringdisp ttyoff

Category: Display functions

disp dispcon dispfun display disprule dispterms engineering_format_floats engineering_format_max engineering_format_min grind labels ldisp ldisplay playback print printpois printprops reveal show showratvars

Category: Dynamical systems

The dynamics package

Category: Elliptic functions

Introduction to Elliptic Functions and Integrals inverse_jacobi_cd inverse_jacobi_cn inverse_jacobi_cs inverse_jacobi_dc inverse_jacobi_dn inverse_jacobi_ds inverse_jacobi_nc inverse_jacobi_nd inverse_jacobi_ns inverse_jacobi_sc inverse_jacobi_sd inverse_jacobi_sn jacobi_cd jacobi_cn jacobi_cs jacobi_dc jacobi_dn jacobi_ds jacobi_nc jacobi_nd jacobi_ns jacobi_sc jacobi_sd jacobi_sn

Category: Elliptic integrals

elliptic_e elliptic_ec elliptic_eu elliptic_f elliptic_kc elliptic_pi

Category: Error messages

0 to a negative exponent Comma is not a prefix operator Illegal use of delimiter No such list element Only symbols can be bound Operators of arguments must all be the same VTK is not installed argument must be a non-atomic expression cannot assign to function loadfile failed to load makelist second argument must evaluate to a number out of memory part fell off the end undefined variable during plotting undefined variable during translation

Category: Evaluation flags

%enumer detout eval evflag evfun float infeval noeval nouns numer pred simp

Category: Evaluation

: :: Nouns and Verbs at derivlist ev kill refcheck remvalue values

Category: Exponential Integrals

expintegral_chi expintegral_ci expintegral_e expintegral_e1 expintegral_e_simplify expintegral_ei expintegral_li expintegral_shi expintegral_si expintexpand expintrep

Category: Exponential and logarithm functions

%e_to_numlog %edispflag %emode %enumer exp exptsubst li log logabs logarc logconcoeffp logcontract logexpand lognegint logsimp plog polarform taylor_logexpand

Category: Expressions

Package facexp Package rducon Package scifac append args arrayapply arraymake arraysetapply assoc atom block box boxchar collapse collectterms combine concat cons copy delete denom derivdegree derivsubst disolate dispform distrib dontfactor dpart eighth endcons expand expandwrt expandwrt_denom expandwrt_factored expon expop exptdispflag exptisolate exptsubst facsum facsum_combine factorfacsum factorout factorsum fifth first firstn fourth freeof fullmap fullmapl funmake gcfac gfactorsum hipow inflag inpart intosum isolate isolate_wrt_times last lastn length lfreeof lhs linear listconstvars listdummyvars listofvars lopow lpart m1pbranch mainvar maxnegex maxposex member multiplicative multthru nextlayerfactor ninth nonarray nonzeroandfreeof nterms num numfactor op opsubst opsubst optimize optimprefix ordergreat orderless ordergreatp orderlessp part partition partswitch pickapart piece pop psubst push rational reduce_consts rembox rempart rest reveal reverse rhs rncombine rootsconmode sconcat second seventh sixth sqrtdenest sublis sublis_apply_lambda subnumsimp subst substinpart substpart subvar tenth third unorder xthru

Category: File input

Introduction to numericalio batch batchload close demo directory file_search file_search_demo file_search_lisp file_search_maxima file_search_tests file_search_usage file_type filename_merge flength fposition load load_pathname loadfile loadprint openr openr_binary pathname_directory pathname_name pathname_type printfile read_array read_binary_array read_binary_list read_binary_matrix read_hash_table read_list read_matrix read_nested_list readbyte readchar readline setup_autoload

Category: File output

Introduction to numericalio appendfile close closefile draw draw2d draw3d draw_file file_output_append filename_merge flength flush_output fposition freshline multiplot_mode newline opena opena_binary openw openw_binary printf save stringout tex with_stdout write_binary_data write_data writebyte writefile

Category: Fourier transform

Introduction to Fourier series Introduction to fast Fourier transform

Category: Function application

apply fullmap fullmapl funmake macroexpand macroexpand1 macroexpansion map maperror maplist mapprint maxapplydepth maxapplyheight outermap scanmap

Category: Function definition

::= := Function buildq define dispfun functions fundef lambda local macros remfunction setup_autoload splice

Category: Gamma and factorial functions

!! beta beta_args_sum_to_integer beta_expand beta_incomplete beta_incomplete_generalized beta_incomplete_regularized bffac bfpsi bfpsi0 cbffac factcomb factlim ! factorial factorial_expand gamma gamma_expand gamma_incomplete gamma_incomplete_generalized gamma_incomplete_lower gamma_incomplete_regularized gammalim genfact log_gamma makefact makegamma maxpsifracdenom maxpsifracnum maxpsinegint maxpsiposint pochhammer pochhammer_max_index psi stirling sumsplitfact

Category: Generating functions

ggf

Category: Global flags

debugmode derivabbrev engineering_format_floats engineering_format_max engineering_format_min file_output_append listarith loadprint logabs m1pbranch macroexpansion nolabels optionset ratvarswitch refcheck setcheck setcheckbreak timer_devalue use_fast_arrays

Category: Global variables

% %% _ __ adim aform aliases arrays asymbol dependencies f90_output_line_length_max file_search_demo file_search_lisp file_search_maxima file_search_tests file_search_usage functions infolists macros manual_demo maxima_tempdir maxima_userdir myoptions newline opproperties prompt props setval share_testsuite_files space structures tab testsuite_files us_ascii_only values

Category: Groebner bases

Introduction to Affine Introduction to grobner

Category: Group theory

Introduction to Symmetries todd_coxeter

Category: Help

? ?? apropos demo describe example manual_demo

Category: Hyperbolic functions

%iargs acosh acoth acsch asech asinh atanh cosh coth csch demoivre exponentialize sech sinh tanh

Category: Hypergeometric functions

hypergeometric_simp

Category: Integers

divisors gcfactor integer_partitions intfaclim modulus moebius multinomial_coeff num_distinct_partitions num_partitions stirling1 stirling2

Category: Integral calculus

Introduction to QUADPACK absint antid antidiff changevar dblint defint erfflag intanalysis integrate integrate_use_rootsof integration_constant integration_constant_counter ldefint logabs residue risch tldefint

Category: Integral equations

ieqn ieqnprint

Category: Laplace transform

delta desolve ilt laplace specint

Category: Limits

lhospitallim limit limsubst tlimit tlimswitch

Category: Linear algebra

Introduction to linearalgebra

Category: Linear equations

augcoefmatrix coefmatrix dgesv echelon globalsolve linsolve linsolve_params linsolvewarn triangularize

Category: Linear recurrences

Introduction to solve_rec

Category: Lists

[ ] append assoc cons copylist create_list delete eighth endcons fifth first firstn flatten fourth fullsetify join last lastn length listarith listp lmax lmin lreduce makelist member ninth permut permutations pop push random_permutation rest reverse rreduce second setify seventh sixth some sort sublist sublist_indices tenth third tree_reduce xreduce

Category: Mathematical functions

abs agd ceiling charfun combination covers delta entier exsec fix floor gaussprob gd hav isqrt lmax lmin max min mod permutation round signum sqrt sqrtdispflag truncate unit_step vers

Category: Matrices

addcol addrow adjoint augcoefmatrix cauchy_matrix charpoly coefmatrix col columnvector covect copymatrix determinant detout diag diagmatrix doallmxops domxexpt domxmxops domxnctimes doscmxops doscmxplus echelon eigen ematrix entermatrix genmatrix ident invert list_matrix_entries lmxchar matrix matrix_element_add matrix_element_mult matrix_element_transpose matrixexp matrixmap matrixp mattrace minor ncharpoly newdet nonscalar nonscalarp permanent rank ratmx row scalarmatrixp scalarp setelmx sparse submatrix tracematrix transpose triangularize zeromatrix

Category: Matrix decompositions

cholesky eigens_by_jacobi lu_factor

Category: Nouns and verbs

Nouns and Verbs noun noundisp nounify nouns verbify

Category: Number theory

bern bernpoly bfhzeta bfzeta binomial bit_and bit_length bit_lsh bit_not bit_onep bit_or bit_rsh bit_xor burn chinese divsum euler factors_only fib fibtophi ifactors igcdex inrt inv_mod jacobi lcm lucas minfactorial next_prime power_mod prev_prime primep primep_number_of_tests primes qunit totient zerobern zeta zeta%pi zn_add_table zn_carmichael_lambda zn_characteristic_factors zn_determinant zn_factor_generators zn_invert_by_lu zn_log zn_mult_table zn_nth_root zn_order zn_power_table zn_primroot zn_primroot_limit zn_primroot_p zn_primroot_pretest zn_primroot_verbose

Category: Numerical evaluation

bffac bfhzeta bfloat bfloatp bfpsi bfpsi0 bftorat bftrunc bfzeta cbffac float float2bf floatnump fpprec fpprintprec keepfloat numer numer_pbranch numerval ratepsilon rationalize ratprint stats_numer

Category: Numerical methods

Introduction to ODEPACK Introduction to QUADPACK Introduction to cobyla Introduction to fast Fourier transform Introduction to interpol Introduction to lapack Introduction to lbfgs Introduction to minpack Introduction to mnewton Introduction to numerical solution of differential equations Introduction to simplex allroots augmented_lagrangian_method bfallroots bf_find_root find_root find_root_abs find_root_error find_root_rel horner linear_program lsquares_estimates lsquares_estimates_approximate maximize_lp minimize_lp newton nroots plotdf ploteq plsquares polyfactor quad_control quad_qag quad_qagi quad_qagp quad_qags quad_qawc quad_qawf quad_qawo quad_qaws random realroots rk romberg rootsepsilon

Category: Operators

!! # ** * + - / ^ . : :: ::= := < <= > >= = @ Introduction to operators [ ] ^^ additive and antisymmetric commutative define_opproperty equal express ! factorial infix lassociative linear matchfix nary nofix not notequal op operatorp opproperties or outative posfun postfix prefix rassociative symmetric | ~

Category: Optimization

Introduction to cobyla Introduction to lbfgs Introduction to minpack Introduction to simplex augmented_lagrangian_method

Category: Orthogonal polynomials

Introduction to orthogonal polynomials

Category: Package absimp

Package absimp

Category: Package affine

Introduction to Affine all_dotsimp_denoms check_overlaps declare_weights dotsimp extract_linear_equations fast_central_elements fast_linsolve grobner_basis list_nc_monomials mono monomial_dimensions nc_degree set_up_dot_simplifications

Category: Package alt-display

define_alt_display info_display mathml_display multi_display_for_texinfo reset_displays set_alt_display set_prompt tex_display

Category: Package antid

linear

Category: Package asympa

asympa

Category: Package atensor

Introduction to atensor abasep adim af aform alg_type asymbol atensimp av init_atensor sf

Category: Package atrig1

atrig1

Category: Package augmented_lagrangian

augmented_lagrangian_method

Category: Package bitwise

bit_and bit_length bit_lsh bit_not bit_onep bit_or bit_rsh bit_xor

Category: Package bode

bode_gain bode_phase

Category: Package cobyla

Introduction to cobyla

Category: Package combinatorics

Package combinatorics apply_cycles cyclep perm_cycles perm_decomp perm_inverse perm_length perm_lex_next perm_lex_rank perm_lex_unrank perm_next perm_parity perm_rank perm_undecomp perm_unrank permp perms perms_lex permult permute random_perm

Category: Package contrib_ode

%c %k1 %k2 Introduction to contrib_ode bessel_simplify contrib_ode dgauss_a dgauss_b dkummer_m dkummer_u expintegral_e_simplify gauss_a gauss_b kummer_m kummer_u method ode_check odelin

Category: Package ctensor

Introduction to ctensor bdvac bimetric cdisplay cframe_flag cgeodesic checkdiv christof cmetric cnonmet_flag cograd contortion contragrad csetup ct_coords ct_coordsys ctaylor ctaypov ctaypt ctayswitch ctayvar ctorsion_flag ctransform ctrgsimp deleten diagmatrixp diagmetric dim dscalar einstein fb findde frame_bracket gdet ic_convert init_ctensor invariant1 invariant2 kinvariant kt leinstein lfg lg lriem lriemann nm nmc nonmetricity np npi nptetrad ntermst petrov psi ratchristof rateinstein ratriemann ratweyl ric ricci riem riemann rinvariant scurvature symmetricp tensorkill tr ufg ug uric uricci uriem uriemann weyl weyl

Category: Package descriptive

Introduction to descriptive barsplot barsplot_description boxplot boxplot_description build_sample cdf_empirical central_moment continuous_freq cor cov cov1 cv discrete_freq geometric_mean global_variances harmonic_mean histogram histogram_description km kurtosis list_correlations mean mean_deviation median median_deviation noncentral_moment pearson_skewness piechart piechart_description principal_components qrange quantile quartile_skewness range scatterplot scatterplot_description skewness smax smin standardize starplot starplot_description std std1 stemplot subsample transform_sample var var1

Category: Package diag

JF ModeMatrix diag dispJordan jordan mat_function minimalPoly

Category: Package distrib

Introduction to distrib cdf_bernoulli cdf_beta cdf_binomial cdf_cauchy cdf_chi2 cdf_continuous_uniform cdf_discrete_uniform cdf_exp cdf_f cdf_gamma cdf_general_finite_discrete cdf_geometric cdf_gumbel cdf_hypergeometric cdf_laplace cdf_logistic cdf_lognormal cdf_negative_binomial cdf_noncentral_chi2 cdf_noncentral_student_t cdf_normal cdf_pareto cdf_poisson cdf_rayleigh cdf_student_t cdf_weibull kurtosis_bernoulli kurtosis_beta kurtosis_binomial kurtosis_chi2 kurtosis_continuous_uniform kurtosis_discrete_uniform kurtosis_exp kurtosis_f kurtosis_gamma kurtosis_general_finite_discrete kurtosis_geometric kurtosis_gumbel kurtosis_gumbel kurtosis_hypergeometric kurtosis_laplace kurtosis_logistic kurtosis_lognormal kurtosis_negative_binomial kurtosis_noncentral_chi2 kurtosis_noncentral_student_t kurtosis_normal kurtosis_pareto kurtosis_poisson kurtosis_rayleigh kurtosis_student_t kurtosis_weibull mean_bernoulli mean_beta mean_binomial mean_chi2 mean_continuous_uniform mean_discrete_uniform mean_exp mean_f mean_gamma mean_general_finite_discrete mean_geometric mean_gumbel mean_hypergeometric mean_laplace mean_logistic mean_lognormal mean_negative_binomial mean_noncentral_chi2 mean_noncentral_student_t mean_normal mean_pareto mean_poisson mean_rayleigh mean_student_t mean_weibull pdf_bernoulli pdf_beta pdf_binomial pdf_cauchy pdf_chi2 pdf_continuous_uniform pdf_discrete_uniform pdf_exp pdf_f pdf_gamma pdf_general_finite_discrete pdf_geometric pdf_gumbel pdf_hypergeometric pdf_laplace pdf_logistic pdf_lognormal pdf_negative_binomial pdf_noncentral_chi2 pdf_noncentral_student_t pdf_normal pdf_pareto pdf_poisson pdf_rayleigh pdf_student_t pdf_weibull quantile_bernoulli quantile_beta quantile_binomial quantile_cauchy quantile_chi2 quantile_continuous_uniform quantile_discrete_uniform quantile_exp quantile_f quantile_gamma quantile_general_finite_discrete quantile_geometric quantile_gumbel quantile_hypergeometric quantile_laplace quantile_logistic quantile_lognormal quantile_negative_binomial quantile_noncentral_chi2 quantile_noncentral_student_t quantile_normal quantile_pareto quantile_poisson quantile_rayleigh quantile_student_t quantile_weibull random_bernoulli random_beta random_binomial random_cauchy random_chi2 random_continuous_uniform random_discrete_uniform random_exp random_f random_gamma random_general_finite_discrete random_geometric random_gumbel random_hypergeometric random_laplace random_logistic random_lognormal random_negative_binomial random_noncentral_chi2 random_noncentral_student_t random_normal random_pareto random_poisson random_rayleigh random_student_t random_weibull skewness_bernoulli skewness_beta skewness_binomial skewness_chi2 skewness_continuous_uniform skewness_discrete_uniform skewness_exp skewness_f skewness_gamma skewness_general_finite_discrete skewness_geometric skewness_gumbel skewness_hypergeometric skewness_laplace skewness_logistic skewness_lognormal skewness_negative_binomial skewness_noncentral_chi2 skewness_noncentral_student_t skewness_normal skewness_pareto skewness_poisson skewness_rayleigh skewness_student_t skewness_weibull std_bernoulli std_beta std_binomial std_chi2 std_continuous_uniform std_discrete_uniform std_exp std_f std_gamma std_general_finite_discrete std_geometric std_gumbel std_hypergeometric std_laplace std_logistic std_lognormal std_negative_binomial std_noncentral_chi2 std_noncentral_student_t std_normal std_pareto std_poisson std_rayleigh std_student_t std_weibull var_bernoulli var_beta var_binomial var_chi2 var_continuous_uniform var_discrete_uniform var_exp var_f var_gamma var_general_finite_discrete var_geometric var_gumbel var_hypergeometric var_laplace var_logistic var_lognormal var_negative_binomial var_noncentral_chi2 var_noncentral_student_t var_normal var_pareto var_poisson var_rayleigh var_student_t var_weibull

Category: Package draw

Introduction to draw Introduction to drawdf adapt_depth allocation axis_3d axis_bottom axis_left axis_right axis_top background_color bars border boundaries_array capping cbrange cbtics color colorbox columns contour contour_levels cylindrical data_file_name delay dimensions draw draw2d draw3d draw_file draw_realpart elevation_grid ellipse enhanced3d errors explicit file_name fill_color filled_func font font_size geomap get_pixel gnuplot_file_name gr2d gr3d grid head_angle head_both head_length head_type image implicit interpolate_color ip_grid ip_grid_in key key_pos label label_alignment label_orientation line_type line_width logcb logx logx_secondary logy logy_secondary logz make_level_picture make_poly_continent make_poly_country make_polygon make_rgb_picture mesh multiplot_mode negative_picture nticks numbered_boundaries palette parametric parametric_surface picture_equalp picturep point_size point_type points points_joined polar polygon proportional_axes quadrilateral read_xpm rectangle region_boundaries region_boundaries_plus rgb2level set_draw_defaults spherical surface_hide take_channel terminal title transform transparent triangle tube unit_vectors user_preamble vector view wired_surface x_voxel xaxis xaxis_color xaxis_secondary xaxis_type xaxis_width xlabel xlabel_secondary xrange xrange_secondary xtics xtics_axis xtics_rotate xtics_rotate_secondary xtics_secondary xtics_secondary_axis xu_grid xy_file xyplane y_voxel yaxis yaxis_color yaxis_secondary yaxis_type yaxis_width ylabel ylabel_secondary yrange yrange_secondary ytics ytics_axis ytics_rotate ytics_rotate_secondary ytics_secondary ytics_secondary_axis yv_grid z_voxel zaxis zaxis_color zaxis_type zaxis_width zlabel zlabel_rotate zrange ztics ztics_axis ztics_rotate

Category: Package drawdf

Introduction to drawdf drawdf

Category: Package dynamics

The dynamics package animation azimuth background capping center chaosgame color cone cube cylinder elevation endphi endtheta evolution evolution2d height height ifs julia linewidth mandelbrot opacity orbits orientation origin phiresolution points pointsize position radius resolution restart scale scene sphere staircase startphi starttheta surface thetaresolution track tstep width windowname windowtitle wireframe xlength ylength zlength

Category: Package eigen

eigen eigenvalues eivals eigenvectors eivects gramschmidt innerproduct inprod similaritytransform simtran ueivects uniteigenvectors unitvector uvect

Category: Package ezunits

Introduction to ezunits constvalue declare_constvalue declare_dimensions declare_fundamental_dimensions fundamental_dimensions remove_fundamental_dimensions declare_fundamental_units remove_fundamental_units declare_qty declare_unit_conversion declare_units dimensionless dimensions dimensions_as_list fundamental_units natural_unit qty remove_constvalue remove_dimensions unitp units

Category: Package f90

Package f90 f90 f90_output_line_length_max

Category: Package facexp

Package facexp collectterms facsum facsum_combine factorfacsum nextlayerfactor

Category: Package fft

Introduction to fast Fourier transform bf_fft bf_inverse_fft bf_inverse_real_fft bf_real_fft fft inverse_fft inverse_real_fft polartorect real_fft recttopolar

Category: Package finance

amortization annuity_fv annuity_pv arit_amortization benefit_cost days360 fv geo_amortization geo_annuity_fv geo_annuity_pv graph_flow irr npv pv saving

Category: Package fourie

Introduction to Fourier series absint cosnpiflag equalp fourcos fourexpand fourier fourint fourintcos fourintsin foursimp foursin funp remfun sinnpiflag totalfourier

Category: Package fractals

fernfale hilbertmap julia_parameter julia_set julia_sin mandelbrot_set sierpinskiale sierpinskimap snowmap treefale

Category: Package functs

Package functs agd arithmetic arithsum combination covers exsec gaussprob gcdivide gd geometric geosum harmonic hav nonzeroandfreeof permutation rational rempart tracematrix vers wronskian

Category: Package ggf

GGFCFMAX GGFINFINITY ggf

Category: Package graphs - constructions

circulant_graph clebsch_graph complement_graph complete_bipartite_graph complete_graph copy_graph cube_graph cuboctahedron_graph cycle_digraph cycle_graph dodecahedron_graph empty_graph flower_snark from_adjacency_matrix frucht_graph graph_product graph_union great_rhombicosidodecahedron_graph great_rhombicuboctahedron_graph grid_graph grotzch_graph heawood_graph icosahedron_graph icosidodecahedron_graph induced_subgraph line_graph make_graph mycielski_graph new_graph path_digraph path_graph petersen_graph random_bipartite_graph random_digraph random_graph random_graph1 random_network random_regular_graph random_tournament random_tree small_rhombicosidodecahedron_graph small_rhombicuboctahedron_graph snub_cube_graph snub_dodecahedron_graph truncated_cube_graph truncated_dodecahedron_graph truncated_icosahedron_graph truncated_tetrahedron_graph tutte_graph underlying_graph wheel_graph

Category: Package graphs - draw_graphs options

draw_graph_program edge_color edge_coloring edge_partition edge_type edge_width file_name fixed_vertices head_angle head_length label_alignment program redraw show_edge_color show_edge_type show_edge_width show_edges show_id show_label show_vertex_color show_vertex_size show_vertex_type show_vertices show_weight spring_embedding_depth terminal vertex_color vertex_coloring vertex_partition vertex_size vertex_type

Category: Package graphs - io

dimacs_export dimacs_import graph6_decode graph6_encode graph6_export graph6_import sparse6_decode sparse6_encode sparse6_export sparse6_import

Category: Package graphs - modifications

add_edge add_edges add_vertex add_vertices connect_vertices contract_edge remove_edge

Category: Package graphs - properties

adjacency_matrix average_degree biconnected_components bipartition chromatic_index chromatic_number clear_edge_weight clear_vertex_label connected_components degree_sequence diameter edge_coloring edge_connectivity edges get_edge_weight get_vertex_label girth graph_center graph_charpoly graph_eigenvalues graph_order graph_periphery graph_size hamilton_cycle hamilton_path in_neighbors is_biconnected is_bipartite is_connected is_digraph is_edge_in_graph is_graph is_graph_or_digraph is_isomorphic is_planar is_sconnected is_tree is_vertex_in_graph isomorphism laplacian_matrix max_clique max_degree max_flow max_independent_set max_matching min_degree min_edge_cut min_vertex_cover min_vertex_cut minimum_spanning_tree neighbors odd_girth out_neighbors planar_embedding radius set_edge_weight set_vertex_label shortest_path shortest_weighted_path strong_components topological_sort vertex_coloring vertex_connectivity vertex_degree vertex_distance vertex_eccentricity vertex_in_degree vertex_out_degree vertices wiener_index

Category: Package graphs

Introduction to graphs add_edge add_edges add_vertex add_vertices adjacency_matrix average_degree biconnected_components bipartition chromatic_index chromatic_number circulant_graph clear_edge_weight clear_vertex_label clebsch_graph complement_graph complete_bipartite_graph complete_graph connect_vertices connected_components contract_edge copy_graph create_graph cube_graph cuboctahedron_graph cycle_digraph cycle_graph degree_sequence diameter dimacs_export dimacs_import dodecahedron_graph draw_graph draw_graph_program edge_color edge_coloring edge_coloring edge_connectivity edge_partition edge_type edge_width edges empty_graph file_name fixed_vertices flower_snark from_adjacency_matrix frucht_graph get_edge_weight get_vertex_label girth graph6_decode graph6_encode graph6_export graph6_import graph_center graph_charpoly graph_eigenvalues graph_order graph_periphery graph_product graph_size graph_union great_rhombicosidodecahedron_graph great_rhombicuboctahedron_graph grid_graph grotzch_graph hamilton_cycle hamilton_path head_angle head_length heawood_graph icosahedron_graph icosidodecahedron_graph in_neighbors induced_subgraph is_biconnected is_bipartite is_connected is_digraph is_edge_in_graph is_graph is_graph_or_digraph is_isomorphic is_planar is_sconnected is_tree is_vertex_in_graph isomorphism label_alignment laplacian_matrix line_graph make_graph max_clique max_degree max_flow max_independent_set max_matching min_degree min_edge_cut min_vertex_cover min_vertex_cut minimum_spanning_tree mycielski_graph neighbors new_graph odd_girth out_neighbors path_digraph path_graph petersen_graph planar_embedding print_graph program radius random_bipartite_graph random_digraph random_graph random_graph1 random_network random_regular_graph random_tournament random_tree redraw remove_edge remove_vertex set_edge_weight set_vertex_label shortest_path shortest_weighted_path show_edge_color show_edge_type show_edge_width show_edges show_id show_label show_vertex_color show_vertex_size show_vertex_type show_vertices show_weight small_rhombicosidodecahedron_graph small_rhombicuboctahedron_graph snub_cube_graph snub_dodecahedron_graph sparse6_decode sparse6_encode sparse6_export sparse6_import spring_embedding_depth strong_components terminal topological_sort truncated_cube_graph truncated_dodecahedron_graph truncated_icosahedron_graph truncated_tetrahedron_graph tutte_graph underlying_graph vertex_color vertex_coloring vertex_coloring vertex_connectivity vertex_degree vertex_distance vertex_eccentricity vertex_in_degree vertex_out_degree vertex_partition vertex_size vertex_type vertices vertices_to_cycle vertices_to_path wheel_graph wiener_index

Category: Package grobner

Introduction to grobner poly_add poly_buchberger poly_buchberger_criterion poly_coefficient_ring poly_colon_ideal poly_content poly_depends_p poly_elimination_ideal poly_elimination_order poly_exact_divide poly_expand poly_expt poly_gcd poly_grobner poly_grobner_algorithm poly_grobner_debug poly_grobner_equal poly_grobner_member poly_grobner_subsetp poly_ideal_intersection poly_ideal_polysaturation poly_ideal_polysaturation1 poly_ideal_saturation poly_ideal_saturation1 poly_lcm poly_minimization poly_monomial_order poly_multiply poly_normal_form poly_normalize poly_normalize_list poly_polysaturation_extension poly_primary_elimination_order poly_primitive_part poly_pseudo_divide poly_reduced_grobner poly_reduction poly_return_term_list poly_s_polynomial poly_saturation_extension poly_secondary_elimination_order poly_subtract poly_top_reduction_only

Category: Package impdiff

implicit_derivative

Category: Package implicit_plot

implicit_plot

Category: Package ineq

Package ineq

Category: Package interpol

Introduction to interpol charfun2 cspline lagrange linearinterpol ratinterpol

Category: Package itensor

Introduction to itensor allsym canform canten changename components concan conmetderiv contract coord covdiff decsym defcon diff entertensor evundiff extdiff flipflag flush flush1deriv flushd flushnd hodge ic_convert icc1 icc2 ichr1 ichr2 icounter icurvature idiff idim idummy idummyx ifb ifc1 ifc2 ifg ifgi ifr iframe_bracket_form iframes ifri igeodesic_coords igeowedge_flag ikt1 ikt2 imetric indexed_tensor indices inm inmc1 inmc2 ishow itr kdels kdelta lc2kdt lc_l lc_u levi_civita liediff listoftens lorentz_gauge makebox rediff remcomps remcon remcoord remsym rename show showcomps simpmetderiv tentex undiff | ~

Category: Package lapack

Introduction to lapack dgeev dgemm dgeqrf dgesv dgesvd dlange zlange zgeev zheev

Category: Package lbfgs

Introduction to lbfgs lbfgs lbfgs_ncorrections lbfgs_nfeval_max

Category: Package lindstedt

Lindstedt

Category: Package linearalgebra

Introduction to linearalgebra addmatrices blockmatrixp cholesky columnop columnspace columnswap ctranspose diag_matrix dotproduct eigens_by_jacobi get_lu_factors hankel hessian hilbert_matrix identfor invert_by_lu jacobian kronecker_product linalg_rank listp locate_matrix_entry lu_backsub lu_factor mat_cond mat_fullunblocker mat_norm mat_trace mat_unblocker matrix_size matrixp nonnegintegerp nullity nullspace orthogonal_complement polynomialp polytocompanion ptriangularize rowop rowswap toeplitz vandermonde_matrix zerofor zeromatrixp

Category: Package lsquares

Introduction to lsquares lsquares_estimates lsquares_estimates_approximate lsquares_estimates_exact lsquares_mse lsquares_residual_mse lsquares_residuals plsquares

Category: Package makeOrders

makeOrders

Category: Package minpack

Introduction to minpack

Category: Package mnewton

Introduction to mnewton mnewton newtonepsilon newtonmaxiter

Category: Package nchrpl

mattrace ncharpoly

Category: Package ntrig

ntrig

Category: Package numericalio

Introduction to numericalio assume_external_byte_order opena_binary openr_binary openw_binary read_array read_binary_array read_binary_list read_binary_matrix read_hash_table read_list read_matrix read_nested_list write_binary_data write_data

Category: Package odepack

Introduction to ODEPACK

Category: Package opsubst

opsubst

Category: Package orthopoly

Introduction to orthogonal polynomials assoc_legendre_p assoc_legendre_q chebyshev_t chebyshev_u gen_laguerre hermite intervalp jacobi_p laguerre legendre_p legendre_q orthopoly_recur orthopoly_returns_intervals orthopoly_weight pochhammer pochhammer_max_index spherical_bessel_j spherical_bessel_y spherical_hankel1 spherical_hankel2 spherical_harmonic ultraspherical unit_step

Category: Package physical_constants

Introduction to physical_constants

Category: Package quadpack

Introduction to QUADPACK quad_control quad_qag quad_qagi quad_qagp quad_qags quad_qawc quad_qawf quad_qawo quad_qaws

Category: Package ratpow

ratp_coeffs ratp_dense_coeffs ratp_hipow ratp_lopow

Category: Package rducon

Package rducon reduce_consts

Category: Package romberg

romberg rombergabs rombergit rombergmin rombergtol

Category: Package scifac

Package scifac gcfac

Category: Package simplex

Introduction to simplex epsilon_lp linear_program maximize_lp minimize_lp nonegative_lp nonnegative_lp pivot_count_sx pivot_max_sx scale_lp

Category: Package solve_rec

Introduction to solve_rec product_use_gamma reduce_order simplify_products simplify_sum solve_rec solve_rec_rat summand_to_rec

Category: Package sqdnst

sqrtdenest

Category: Package stats

Introduction to stats cdf_rank_sum cdf_signed_rank inference_result inferencep items_inference linear_regression pdf_rank_sum pdf_signed_rank stats_numer take_inference test_mean test_means_difference test_normality test_proportion test_proportions_difference test_rank_sum test_sign test_signed_rank test_variance test_variance_ratio

Category: Package stirling

stirling

Category: Package stringproc

Introduction to String Processing adjust_external_format alphacharp alphanumericp ascii base64 base64_decode cequal cequalignore cgreaterp cgreaterpignore charat charlist charp cint clessp clesspignore close constituent crc24sum digitcharp eval_string flength flush_output fposition freshline get_output_stream_string lowercasep make_string_input_stream make_string_output_stream md5sum mgf1_sha1 newline newline number_to_octets octets_to_number octets_to_oid octets_to_string oid_to_octets opena openr openw parse_string printf readbyte readchar readline scopy sdowncase sequal sequalignore sexplode sha1sum sha256sum simplode sinsert sinvertcase slength smake smismatch space split sposition sprint sremove sremovefirst sreverse ssearch ssort ssubst ssubstfirst strim striml strimr string_to_octets stringp substring supcase tab tokens unicode unicode_to_utf8 uppercasep us_ascii_only utf8_to_unicode writebyte

Category: Package sym

Introduction to Symmetries comp2pui cont2part contract direct ele2comp ele2polynome ele2pui elem explose kostka lgtreillis ltreillis mon2schur multi_elem multi_orbit multi_pui multinomial multsym orbit part2cont partpol permut polynome2ele prodrac pui pui2comp pui2ele pui2polynome pui_direct puireduc resolvante resolvante_alternee1 resolvante_bipartite resolvante_diedrale resolvante_klein resolvante_klein3 resolvante_produit_sym resolvante_unitaire resolvante_vierer schur2comp somrac tcontract tpartpol treillis treinat

Category: Package unit

%unitexpand Introduction to Units convert metricexpandall setunits uforget usersetunits

Category: Package vect

Vectors scalefactors vect_cross vectorpotential vectorsimp

Category: Package wrstcse

Introduction to wrstcse

Category: Package zeilberger

AntiDifference Gosper GosperSum Gosper_in_Zeilberger Introduction to zeilberger MAX_ORD Zeilberger Zeilberger ev_point linear_solver mod_big_prime mod_test mod_threshold modular_linear_solver parGosper parGosper simplified_output trivial_solutions warnings

Category: Physical units

Introduction to Units Introduction to ezunits Introduction to physical_constants

Category: Plotting

Introduction to Plotting Introduction to draw Introduction to drawdf Introduction to numerical solution of differential equations Introduction to orthogonal polynomials Plotting Formats adapt_depth animation axes azimuth azimuth background barsplot barsplot_description bode_gain bode_phase box boxplot boxplot_description capping center chaosgame color color color_bar color_bar_tics cone contour_plot cube cylinder elevation elevation endphi endtheta evolution evolution2d geomview_command gnuplot_close gnuplot_command gnuplot_curve_styles gnuplot_curve_titles gnuplot_default_term_command gnuplot_dumb_term_command gnuplot_file_args gnuplot_out_file gnuplot_pdf_term_command gnuplot_pm3d gnuplot_png_term_command gnuplot_postamble gnuplot_preamble gnuplot_ps_term_command gnuplot_replot gnuplot_reset gnuplot_restart gnuplot_start gnuplot_svg_term_command gnuplot_term gnuplot_view_args grid grid2d height height histogram histogram_description ifs implicit_plot iterations julia label legend linewidth logx logy make_transform mandelbrot mesh_lines_color nticks opacity orbits orientation origin palette pdf_file phiresolution piechart piechart_description plot2d plot3d plot_format plot_options plot_realpart plotdf ploteq png_file point_type points pointsize polar_to_xy position ps_file radius remove_plot_option resolution restart run_viewer same_xy same_xyz scale scatterplot scatterplot_description scene set_plot_option sphere spherical_to_xyz staircase starplot starplot_description startphi starttheta stemplot style surface svg_file t thetaresolution title track transform_xy tstep width windowname windowtitle wireframe x xlabel xlength xtics xy_scale y ylabel ylength ytics yx_ratio z zlabel zlength zmin

Category: Poisson series

intopois outofpois poisdiff poisexpt poisint poislim poismap poisplus poissimp poisson poissubst poistimes poistrim printpois

Category: Polynomials

Introduction to Affine Introduction to Polynomials Introduction to Symmetries allroots berlefact bezout bfallroots bothcoef coeff content divide eliminate ezgcd facexpand factor factor_max_degree factor_max_degree_print_warning factorflag fasttimes gcd gcdex gcdivide gfactor lratsubst makeOrders multiplicities nroots nthroot polydecomp polyfactor polymod programmode quotient ratcoef realroots remainder resultant resultant rootsepsilon savefactors sqfr tellrat untellrat

Category: Power series

deftaylor maxtayorder pade powerseries revert revert2 taylor taylor_logexpand taylor_order_coefficients taylor_simplifier taylor_truncate_polynomials taylordepth taylorinfo taylorp taytorat trunc verbose

Category: Predicate functions

abasep alphacharp alphanumericp atom bfloatp blockmatrixp cequal cequalignore cgreaterp cgreaterpignore charp clessp clesspignore constantp constituent diagmatrixp digitcharp disjointp elementp emptyp evenp featurep floatnump if integerp intervalp is listp listp lowercasep mapatom matrixp matrixp maybe member nonnegintegerp nonscalarp numberp oddp operatorp ordergreatp orderlessp picture_equalp picturep poly_depends_p poly_grobner_subsetp polynomialp prederror primep ratnump ratp scalarp sequal sequalignore setequalp setp stringp subsetp subvarp symbolp symmetricp taylorp unknown uppercasep zeroequiv zeromatrixp zn_primroot_p

Category: Programming

Function Lisp and Maxima block catch do for from in next step thru unless while errcatch error errormsg errormsg garbage_collect go if local prederror return sstatus status throw warning

Category: Random numbers

make_random_state random random_bernoulli random_beta random_binomial random_cauchy random_chi2 random_continuous_uniform random_discrete_uniform random_exp random_f random_gamma random_general_finite_discrete random_geometric random_gumbel random_hypergeometric random_laplace random_logistic random_lognormal random_negative_binomial random_noncentral_chi2 random_noncentral_student_t random_normal random_pareto random_poisson random_rayleigh random_student_t random_weibull set_random_state

Category: Rational expressions

Introduction to Polynomials fullratsimp fullratsubst gcd gcdex lratsubst rat ratcoef ratdenom ratdenomdivide ratdiff ratdisrep ratepsilon ratexpand ratfac ratmx ratnumer ratnump ratp ratp_coeffs ratp_dense_coeffs ratp_hipow ratp_lopow ratprint ratsimp ratsimpexpons ratsubst ratvars ratvarswitch ratweight ratweights ratwtlvl showratvars taytorat tellrat totaldisrep untellrat

Category: Rules and patterns

Introduction to Rules and Patterns Package absimp Package ineq apply1 apply2 applyb1 clear_rules current_let_rule_package default_let_rule_package defmatch defrule disprule let let_rule_packages letrat letrules letsimp matchdeclare remlet remrule tellsimp tellsimpafter

Category: Session management

Introduction for Runtime Environment batch batchload kill load loadfile myoptions nolabels optionset reset save stringout

Category: Sets

Introduction to Sets adjoin belln cardinality cartesian_product disjoin disjointp elementp emptyp equiv_classes every extremal_subset flatten full_listify intersect intersection listify lmax lmin makeset partition_set permutations powerset random_permutation set_partitions setdifference setequalp setp some subset subsetp symmdifference tree_reduce union xreduce

Category: Share packages

Introduction to Affine Introduction to Fourier series Introduction to ODEPACK Introduction to QUADPACK Introduction to String Processing Introduction to Symmetries Introduction to Units Introduction to atensor Introduction to cobyla Introduction to contrib_ode Introduction to ctensor Introduction to descriptive Introduction to distrib Introduction to draw Introduction to drawdf Introduction to ezunits Introduction to fast Fourier transform Introduction to graphs Introduction to grobner Introduction to interpol Introduction to itensor Introduction to lapack Introduction to lbfgs Introduction to linearalgebra Introduction to lsquares Introduction to minpack Introduction to mnewton Introduction to numericalio Introduction to orthogonal polynomials Introduction to physical_constants Introduction to simplex Introduction to solve_rec Introduction to stats Introduction to wrstcse Introduction to zeilberger Lindstedt Package absimp Package combinatorics Package f90 Package facexp Package functs Package ineq Package rducon Package scifac The dynamics package Vectors augmented_lagrangian_method diag dimension eigen engineering_format_floats engineering_format_max engineering_format_min ggf implicit_derivative implicit_plot makeOrders opsubst sqrtdenest stirling

Category: Simplification flags and variables

%e_to_numlog %emode %iargs %piargs algebraic besselexpand beta_args_sum_to_integer beta_expand ctrgsimp distribute_over domain dot0nscsimp dot0simp dot1simp dotassoc dotconstrules dotdistrib dotexptsimp dotident dotscrules evflag gamma_expand gammalim halfangles logarc logconcoeffp logexpand lognegint logsimp negdistrib radexpand radsubstflag ratalgdenom ratdenomdivide ratsimpexpons rootsconmode scalarmatrixp simpproduct simpsum sumexpand sumsplitfact trigexpandplus trigexpandtimes triginverses trigsign

Category: Simplification functions

Package absimp Package ineq atensimp foursimp fullratsimp hypergeometric_simp logarc radcan ratsimp rootscontract scsimp simplify_sum trigexpand trigrat trigreduce trigsimp unknown vectorsimp

Category: Simplification

Introduction to Rules and Patterns define_opproperty lassociative linear multiplicative opproperties

Category: Special functions

%f %m %s %w Introduction to Special Functions airy_ai airy_bi airy_dai airy_dbi bessel_i bessel_j bessel_k bessel_simplify bessel_y besselexpand erf erf_generalized erfc erfi expintegral_chi expintegral_ci expintegral_e expintegral_e1 expintegral_e_simplify expintegral_ei expintegral_li expintegral_shi expintegral_si fresnel_c fresnel_s gamma gamma_incomplete gamma_incomplete_generalized gamma_incomplete_lower gamma_incomplete_regularized generalized_lambert_w hankel_1 hankel_2 hypergeometric_simp lambert_w log_gamma nzeta nzetai nzetar parabolic_cylinder_d scaled_bessel_i0 scaled_bessel_i1 struve_h struve_l

Category: Statistical estimation

Introduction to lsquares linear_regression

Category: Statistical functions

Introduction to distrib

Category: Statistical inference

Introduction to stats

Category: Strings

Introduction to String Processing concat sconcat string

Category: Structures

@ defstruct new structures

Category: Sums and products

Introduction to zeilberger arithmetic arithsum bashindices cauchysum genindex gensumnum geometric geosum harmonic lsum niceindices niceindicespref nusum product simplify_sum simpproduct simpsum sum sumcontract sumexpand unsum

Category: Syntax

Comments Identifiers Introduction to Strings Introduction to operators infix matchfix nary nofix postfix prefix

Category: TeX output

get_tex_environment set_tex_environment get_tex_environment_default set_tex_environment_default tentex tex texput

Category: Tensors

Introduction to atensor Introduction to ctensor Introduction to itensor

Category: Time and date functions

absolute_real_time decode_time elapsed_real_time elapsed_run_time encode_time parse_timedate timedate

Category: Translation and compilation

compfile compile compile_file declare_translated define_variable f90 f90_output_line_length_max fortindent fortran fortspaces mode_declare mode_identity tr_warnings_get translate translate_file

Category: Translation flags and variables

mode_check_errorp mode_check_warnp mode_checkp packagefile savedef tr_array_as_ref tr_bound_function_applyp tr_file_tty_messagesp tr_float_can_branch_complex tr_function_call_default tr_numer tr_optimize_max_loop tr_semicompile tr_state_vars tr_warn_bad_function_calls tr_warn_fexpr tr_warn_meval tr_warn_mode tr_warn_undeclared tr_warn_undefined_variable transcompile translate_fast_arrays transrun

Category: Trigonometric functions

%iargs %piargs Introduction to Trigonometric acos acot acsc asec asin atan atan2 atrig1 cos cot csc demoivre exponentialize foursimp halfangles ntrig sec sin tan trigexpand trigexpandplus trigexpandtimes triginverses trigrat trigreduce trigsign trigsimp

Category: Vectors

Vectors eigen express nonscalar nonscalarp scalarp

Category: Warning messages

replaced x by y

Category: clebsch_gordan

clebsch_gordan racah_v racah_w wigner_3j wigner_6j wigner_9j


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