Index A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z A absorption_probabilities() (mathematicskit.probability.MarkovChain method) Adam (class in mathematicskit.optimization) AdaptiveQuadrature (class in mathematicskit.calculus) add() (mathematicskit.abstract_algebra.GF method) add_edge() (mathematicskit.graph_theory.Graph method) adjusted_p_values (mathematicskit.statistics.MultipleTestingResult attribute) adjusted_r_squared (mathematicskit.numerical_analysis.RegressionResult attribute) (mathematicskit.statistics.RegressionResult attribute) ai (mathematicskit.special_functions.AiryResult attribute) ai_prime (mathematicskit.special_functions.AiryResult attribute) aic() (mathematicskit.statistics.MaximumLikelihoodResult method) airy_functions() (in module mathematicskit.special_functions) AiryResult (class in mathematicskit.special_functions) aitken_delta_squared() (in module mathematicskit.numerical_analysis) algebraic_connectivity (mathematicskit.graph_theory.SpectralResult attribute) all_subgroups() (in module mathematicskit.abstract_algebra) alpha (mathematicskit.statistics.MultipleTestingResult attribute) amplitude (mathematicskit.special_functions.JacobiEllipticResult attribute) analyze_homomorphism() (in module mathematicskit.abstract_algebra) arc_length (mathematicskit.geometry.CurveFrameResult attribute) archimedes_pi_bounds() (in module mathematicskit.calculus) are_orthogonal() (in module mathematicskit.combinatorics) area (mathematicskit.geometry.ConvexHullResult attribute) (mathematicskit.geometry.LatticePolygonResult attribute) area_element (mathematicskit.geometry.SurfaceCurvatureResult attribute) arithmetic_geometric_mean() (in module mathematicskit.special_functions) AssignmentResult (class in mathematicskit.graph_theory) astar_shortest_path() (in module mathematicskit.graph_theory) B backtracking_coloring() (in module mathematicskit.graph_theory) backward() (mathematicskit.calculus.Variable method) backward_difference() (in module mathematicskit.calculus) BarnsleyFern (class in mathematicskit.fractals_chaos) bell_number() (in module mathematicskit.combinatorics) bellman_ford_shortest_paths() (in module mathematicskit.graph_theory) bendixson_criterion() (in module mathematicskit.ode_dynamics) BendixsonResult (class in mathematicskit.ode_dynamics) benjamini_hochberg() (in module mathematicskit.statistics) bernoulli_numbers() (in module mathematicskit.combinatorics) bernstein_polynomial() (in module mathematicskit.numerical_analysis) bessel_first_kind() (in module mathematicskit.special_functions) bessel_second_kind() (in module mathematicskit.special_functions) best_rational_approximation() (in module mathematicskit.number_theory) Beta (class in mathematicskit.probability) beta_binomial_posterior() (in module mathematicskit.probability) beta_function() (in module mathematicskit.special_functions) bezier_curve() (in module mathematicskit.geometry) BezoutResult (class in mathematicskit.number_theory) BFGS (class in mathematicskit.optimization) bi (mathematicskit.special_functions.AiryResult attribute) bi_prime (mathematicskit.special_functions.AiryResult attribute) bias (mathematicskit.statistics.JackknifeResult attribute) bias_corrected (mathematicskit.statistics.JackknifeResult attribute) bifurcation_diagram() (in module mathematicskit.ode_dynamics) Binomial (class in mathematicskit.probability) binormal (mathematicskit.geometry.CurveFrameResult attribute) bipartite_matching() (in module mathematicskit.graph_theory) BipartiteMatchingResult (class in mathematicskit.graph_theory) bipartition (mathematicskit.graph_theory.SpectralResult attribute) Bisection (class in mathematicskit.numerical_analysis) bonferroni_correction() (in module mathematicskit.statistics) bootstrap_confidence_interval() (in module mathematicskit.statistics) BootstrapResult (class in mathematicskit.statistics) bound (mathematicskit.probability.TailBoundResult attribute) boundary (mathematicskit.geometry.LatticePolygonResult attribute) box_counting_dimension() (in module mathematicskit.fractals_chaos) box_counts (mathematicskit.fractals_chaos.BoxCountingResult attribute) box_sizes (mathematicskit.fractals_chaos.BoxCountingResult attribute) BoxCountingResult (class in mathematicskit.fractals_chaos) brackets (mathematicskit.optimization.ScalarSearchResult attribute) BranchingProcessResult (class in mathematicskit.probability) brownian_motion() (in module mathematicskit.probability) BrownianMotionResult (class in mathematicskit.probability) Brusselator (class in mathematicskit.ode_dynamics) brusselator_hopf_threshold() (in module mathematicskit.ode_dynamics) buffon_needle() (in module mathematicskit.probability) BuffonNeedleResult (class in mathematicskit.probability) C c (mathematicskit.number_theory.PollardRhoResult attribute) (mathematicskit.special_functions.FresnelResult attribute) catalan_number() (in module mathematicskit.combinatorics) cayley_table() (mathematicskit.abstract_algebra.FiniteGroup method) cdf() (mathematicskit.probability.ContinuousDistribution method) (mathematicskit.probability.DiscreteDistribution method) CellularAutomaton (class in mathematicskit.fractals_chaos) center (mathematicskit.geometry.CircleResult attribute) centers (mathematicskit.linalg.GershgorinResult attribute) central_difference() (in module mathematicskit.calculus) central_limit_theorem_sample_means() (in module mathematicskit.probability) chaos_game() (in module mathematicskit.fractals_chaos) characteristic_polynomial() (in module mathematicskit.linalg) chebyshev_nodes() (in module mathematicskit.numerical_analysis) chebyshev_polynomial() (in module mathematicskit.special_functions) chebyshev_tail() (in module mathematicskit.probability) ChebyshevInterpolant (class in mathematicskit.numerical_analysis) chi_square_goodness_of_fit() (in module mathematicskit.statistics) chi_square_independence() (in module mathematicskit.statistics) chinese_remainder_theorem() (in module mathematicskit.number_theory) cholesky_decompose() (in module mathematicskit.linalg) cholesky_solve() (in module mathematicskit.linalg) CholeskyResult (class in mathematicskit.linalg) circle() (in module mathematicskit.geometry) CircleResult (class in mathematicskit.geometry) classification (mathematicskit.ode_dynamics.FixedPointResult attribute) classify_fixed_point_2d() (in module mathematicskit.ode_dynamics) clenshaw_curtis_nodes_and_weights() (in module mathematicskit.calculus) ClenshawCurtisQuadrature (class in mathematicskit.calculus) clique_number() (in module mathematicskit.graph_theory) closest_pair() (in module mathematicskit.geometry) ClosestPairResult (class in mathematicskit.geometry) cn (mathematicskit.special_functions.JacobiEllipticResult attribute) coefficient (mathematicskit.statistics.CorrelationResult attribute) coefficients (mathematicskit.linalg.LeastSquaresResult attribute) (mathematicskit.numerical_analysis.MinimaxResult attribute) (mathematicskit.numerical_analysis.NewtonDividedDifference attribute) (mathematicskit.numerical_analysis.RegressionResult attribute) (mathematicskit.statistics.RegressionResult attribute) cofactor (mathematicskit.number_theory.PollardRhoResult attribute) cohens_d() (in module mathematicskit.statistics) col_strategy (mathematicskit.optimization.GameResult attribute) coloring (mathematicskit.graph_theory.ColoringResult attribute) ColoringResult (class in mathematicskit.graph_theory) cols (mathematicskit.graph_theory.AssignmentResult attribute) combinations_count() (in module mathematicskit.combinatorics) commutator_subgroup() (in module mathematicskit.abstract_algebra) compare_fft_methods() (in module mathematicskit.special_functions) compare_optimizers() (in module mathematicskit.optimization) complementary_error_function() (in module mathematicskit.special_functions) complementary_slackness (mathematicskit.optimization.KKTResult attribute) complete_bipartite_graph() (in module mathematicskit.graph_theory) complete_elliptic_integral_first_kind() (in module mathematicskit.special_functions) complete_elliptic_integral_second_kind() (in module mathematicskit.special_functions) complete_graph() (in module mathematicskit.graph_theory) complex_step_derivative() (in module mathematicskit.calculus) ComponentsResult (class in mathematicskit.graph_theory) composition_series() (in module mathematicskit.abstract_algebra) CompositionSeriesResult (class in mathematicskit.abstract_algebra) condition_number (mathematicskit.linalg.LeastSquaresResult attribute) (mathematicskit.numerical_analysis.RegressionResult attribute) condition_number() (in module mathematicskit.numerical_analysis) condition_number_2norm() (in module mathematicskit.linalg) confidence_level (mathematicskit.statistics.BootstrapResult attribute) (mathematicskit.statistics.ConfidenceIntervalResult attribute) ConfidenceIntervalResult (class in mathematicskit.statistics) confluent_hypergeometric_1f1() (in module mathematicskit.special_functions) conjugate() (mathematicskit.combinatorics.YoungDiagram method) ConjugateGradient (class in mathematicskit.linalg) connected_components() (in module mathematicskit.graph_theory) contains() (mathematicskit.linalg.GershgorinResult method) continued_fraction_expansion() (in module mathematicskit.number_theory) ContinuedFractionResult (class in mathematicskit.number_theory) ContinuousDistribution (class in mathematicskit.probability) control_variates_integrate() (in module mathematicskit.probability) converged (mathematicskit.linalg.EigenResult attribute) (mathematicskit.linalg.IterativeSolveResult attribute) (mathematicskit.numerical_analysis.MinimaxResult attribute) (mathematicskit.numerical_analysis.RootResult attribute) (mathematicskit.optimization.LagrangeResult attribute) (mathematicskit.optimization.OptimizeResult attribute) (mathematicskit.optimization.ScalarSearchResult attribute) convergents (mathematicskit.number_theory.ContinuedFractionResult attribute) convex_hull() (in module mathematicskit.geometry) ConvexHullResult (class in mathematicskit.geometry) CorrelationResult (class in mathematicskit.statistics) cos() (mathematicskit.calculus.Dual method) (mathematicskit.calculus.Variable method) coset_of() (mathematicskit.abstract_algebra.QuotientGroup method) cost (mathematicskit.optimization.LeastSquaresResult attribute) count (mathematicskit.abstract_algebra.SylowResult property) count_bracelets() (in module mathematicskit.combinatorics) count_labeled_trees() (in module mathematicskit.combinatorics) count_necklaces() (in module mathematicskit.combinatorics) count_orbits() (in module mathematicskit.abstract_algebra) count_spanning_trees() (in module mathematicskit.graph_theory) count_triangle_free_colorings() (in module mathematicskit.combinatorics) cramer_solve() (in module mathematicskit.linalg) crossing_fraction (mathematicskit.probability.BuffonNeedleResult attribute) CRTResult (class in mathematicskit.number_theory) ctmc_stationary_distribution() (in module mathematicskit.probability) ctmc_transition_matrix() (in module mathematicskit.probability) CubicSpline (class in mathematicskit.numerical_analysis) curvature (mathematicskit.geometry.CurveFrameResult attribute) CurveFrameResult (class in mathematicskit.geometry) cycle_graph() (in module mathematicskit.graph_theory) cyclic_latin_square() (in module mathematicskit.combinatorics) cyclic_subgroup() (in module mathematicskit.abstract_algebra) CyclicGroup (class in mathematicskit.abstract_algebra) cylinder_surface() (in module mathematicskit.geometry) D d (mathematicskit.number_theory.PellResult attribute) de_casteljau() (in module mathematicskit.geometry) degree (mathematicskit.abstract_algebra.Polynomial property) delaunay_triangulation() (in module mathematicskit.geometry) derangement_count() (in module mathematicskit.combinatorics) derivative (mathematicskit.numerical_analysis.HornerResult attribute) derivative() (in module mathematicskit.calculus) (mathematicskit.numerical_analysis.HermiteInterpolant method) DerivativeResult (class in mathematicskit.calculus) derived_series() (in module mathematicskit.abstract_algebra) descriptive_stats() (in module mathematicskit.statistics) DescriptiveStatsResult (class in mathematicskit.statistics) df (mathematicskit.statistics.HypothesisTestResult attribute) dft_naive() (in module mathematicskit.special_functions) DihedralGroup (class in mathematicskit.abstract_algebra) dijkstra_shortest_paths() (in module mathematicskit.graph_theory) dimension (mathematicskit.fractals_chaos.BoxCountingResult attribute) DiscreteDistribution (class in mathematicskit.probability) distance (mathematicskit.geometry.ClosestPairResult attribute) (mathematicskit.graph_theory.SearchResult attribute) distances (mathematicskit.graph_theory.ShortestPathResult attribute) distribution (mathematicskit.statistics.MaximumLikelihoodResult attribute) divergence (mathematicskit.ode_dynamics.BendixsonResult attribute) divided_difference_table (mathematicskit.numerical_analysis.NewtonDividedDifference property) divider_length() (in module mathematicskit.fractals_chaos) divisor_sum() (in module mathematicskit.number_theory) dla_cluster() (in module mathematicskit.fractals_chaos) dn (mathematicskit.special_functions.JacobiEllipticResult attribute) dodecahedron_graph() (in module mathematicskit.graph_theory) domino_tilings() (in module mathematicskit.combinatorics) douglas_peucker() (in module mathematicskit.geometry) Dual (class in mathematicskit.calculus) dual (mathematicskit.calculus.Dual attribute) dual_feasible (mathematicskit.optimization.KKTResult attribute) DuffingOscillator (class in mathematicskit.ode_dynamics) E edges (mathematicskit.geometry.PolyhedronResult attribute) (mathematicskit.graph_theory.MSTResult attribute) edges() (mathematicskit.graph_theory.Graph method) effective_sample_size() (in module mathematicskit.probability) eigen_general() (in module mathematicskit.linalg) eigen_symmetric() (in module mathematicskit.linalg) EigenResult (class in mathematicskit.linalg) eigenvalues (mathematicskit.graph_theory.SpectralResult attribute) (mathematicskit.linalg.EigenResult attribute) (mathematicskit.linalg.SchurResult property) (mathematicskit.ode_dynamics.FixedPointResult attribute) eigenvectors (mathematicskit.graph_theory.SpectralResult attribute) (mathematicskit.linalg.EigenResult attribute) element_order() (mathematicskit.abstract_algebra.FiniteGroup method) element_orders (mathematicskit.abstract_algebra.GroupPropertiesResult attribute) ElementaryCA (class in mathematicskit.fractals_chaos) elements (mathematicskit.abstract_algebra.CyclicGroup property) (mathematicskit.abstract_algebra.FiniteGroup property) (mathematicskit.abstract_algebra.PermutationGroup property) (mathematicskit.abstract_algebra.QuaternionGroup property) (mathematicskit.abstract_algebra.QuotientGroup property) (mathematicskit.abstract_algebra.Subgroup property) elements() (mathematicskit.abstract_algebra.GF method) elements_of_order() (in module mathematicskit.abstract_algebra) ellipse() (in module mathematicskit.geometry) erlang_b() (in module mathematicskit.probability) error_estimate (mathematicskit.calculus.DerivativeResult attribute) (mathematicskit.calculus.QuadratureResult attribute) error_function() (in module mathematicskit.special_functions) EscapeTimeResult (class in mathematicskit.fractals_chaos) estimate (mathematicskit.probability.MonteCarloResult attribute) (mathematicskit.statistics.BootstrapResult attribute) (mathematicskit.statistics.ConfidenceIntervalResult attribute) (mathematicskit.statistics.JackknifeResult attribute) estimate_convergence_order() (in module mathematicskit.numerical_analysis) estimate_feigenbaum_delta() (in module mathematicskit.ode_dynamics) estimate_limit_cycle_amplitude() (in module mathematicskit.ode_dynamics) estimate_period() (in module mathematicskit.ode_dynamics) estimate_radius_of_convergence() (in module mathematicskit.calculus) euler_characteristic (mathematicskit.geometry.PolyhedronResult property) euler_maclaurin_trapezoid() (in module mathematicskit.calculus) euler_product() (in module mathematicskit.number_theory) (in module mathematicskit.special_functions) euler_totient() (in module mathematicskit.number_theory) evaluate() (mathematicskit.abstract_algebra.Polynomial method) (mathematicskit.numerical_analysis.ChebyshevInterpolant method) (mathematicskit.numerical_analysis.CubicSpline method) (mathematicskit.numerical_analysis.HermiteInterpolant method) (mathematicskit.numerical_analysis.Interpolant method) (mathematicskit.numerical_analysis.LagrangeInterpolant method) (mathematicskit.numerical_analysis.MinimaxResult method) (mathematicskit.numerical_analysis.NewtonDividedDifference method) (mathematicskit.numerical_analysis.PadeApproximant method) evaluate_series() (in module mathematicskit.calculus) exact (mathematicskit.probability.TailBoundResult attribute) exact_crossing_probability (mathematicskit.probability.BuffonNeedleResult attribute) ExhaustionResult (class in mathematicskit.calculus) exp() (mathematicskit.calculus.Dual method) (mathematicskit.calculus.Variable method) expected_steps_to_absorption() (mathematicskit.probability.MarkovChain method) Exponential (class in mathematicskit.probability) extended_gcd() (in module mathematicskit.number_theory) extent (mathematicskit.fractals_chaos.EscapeTimeResult attribute) extinct_fraction (mathematicskit.probability.BranchingProcessResult attribute) extra (mathematicskit.calculus.QuadratureResult attribute) (mathematicskit.fractals_chaos.BoxCountingResult attribute) (mathematicskit.linalg.EigenResult attribute) (mathematicskit.number_theory.PellResult attribute) (mathematicskit.numerical_analysis.RootResult attribute) (mathematicskit.ode_dynamics.OdeTrajectory attribute) (mathematicskit.optimization.OptimizeResult attribute) (mathematicskit.statistics.HypothesisTestResult attribute) F faces (mathematicskit.geometry.PolyhedronResult attribute) factor (mathematicskit.number_theory.PollardRhoResult attribute) factor_orders (mathematicskit.abstract_algebra.CompositionSeriesResult attribute) fast_mod_pow() (in module mathematicskit.number_theory) ferrers_diagram() (mathematicskit.combinatorics.YoungDiagram method) fft_numpy() (in module mathematicskit.special_functions) fft_radix2() (in module mathematicskit.special_functions) FFTComparisonResult (class in mathematicskit.special_functions) fibonacci() (in module mathematicskit.combinatorics) find_fixed_point_newton() (in module mathematicskit.ode_dynamics) find_irreducible_polynomial() (in module mathematicskit.abstract_algebra) FiniteGroup (class in mathematicskit.abstract_algebra) fisher_exact_test() (in module mathematicskit.statistics) fit() (mathematicskit.numerical_analysis.PolynomialRegression method) fitted_values (mathematicskit.numerical_analysis.RegressionResult attribute) (mathematicskit.statistics.RegressionResult attribute) fitzhugh_nagumo_fixed_point() (in module mathematicskit.ode_dynamics) fitzhugh_nagumo_hopf_currents() (in module mathematicskit.ode_dynamics) FitzHughNagumo (class in mathematicskit.ode_dynamics) fixed_point() (mathematicskit.ode_dynamics.Brusselator method) (mathematicskit.ode_dynamics.LotkaVolterra method) fixed_points() (mathematicskit.ode_dynamics.LogisticMap method) FixedPointIteration (class in mathematicskit.numerical_analysis) FixedPointResult (class in mathematicskit.ode_dynamics) flow_matrix (mathematicskit.graph_theory.MaxFlowResult attribute) flow_value (mathematicskit.graph_theory.MaxFlowResult attribute) FlowSystem (class in mathematicskit.ode_dynamics) floyd_warshall_shortest_paths() (in module mathematicskit.graph_theory) forward_difference() (in module mathematicskit.calculus) frank_wolfe() (in module mathematicskit.optimization) frenet_serret_frame() (in module mathematicskit.geometry) fresnel_integrals() (in module mathematicskit.special_functions) FresnelResult (class in mathematicskit.special_functions) frobenius_norm() (in module mathematicskit.linalg) fun (mathematicskit.optimization.LinearProgramResult attribute) (mathematicskit.optimization.OptimizeResult attribute) (mathematicskit.optimization.ScalarSearchResult attribute) function_value_gap() (in module mathematicskit.optimization) G galton_watson_extinction_probability() (in module mathematicskit.probability) galton_watson_simulate() (in module mathematicskit.probability) GameOfLife (class in mathematicskit.fractals_chaos) GameResult (class in mathematicskit.optimization) Gamma (class in mathematicskit.probability) gamma_function() (in module mathematicskit.special_functions) gaussian (mathematicskit.geometry.SurfaceCurvatureResult attribute) GaussianQuadrature (class in mathematicskit.calculus) GaussSeidel (class in mathematicskit.linalg) gcd (mathematicskit.number_theory.BezoutResult attribute) (mathematicskit.number_theory.LinearDiophantineResult attribute) gcd() (in module mathematicskit.number_theory) generate() (mathematicskit.fractals_chaos.BarnsleyFern method) (mathematicskit.fractals_chaos.IteratedFunctionSystem method) (mathematicskit.fractals_chaos.SierpinskiCarpet method) (mathematicskit.fractals_chaos.SierpinskiTriangle method) generate_combinations() (in module mathematicskit.combinatorics) generate_permutations() (in module mathematicskit.combinatorics) generated_subgroup() (in module mathematicskit.abstract_algebra) generation_sizes (mathematicskit.probability.BranchingProcessResult attribute) Geometric (class in mathematicskit.probability) gershgorin_discs() (in module mathematicskit.linalg) GershgorinResult (class in mathematicskit.linalg) GF (class in mathematicskit.abstract_algebra) giant_component_fraction() (in module mathematicskit.graph_theory) GMRES (class in mathematicskit.linalg) golden_section_search() (in module mathematicskit.optimization) grad (mathematicskit.calculus.Variable attribute) gradient() (in module mathematicskit.calculus) GradientDescent (class in mathematicskit.optimization) GradientDescentLineSearch (class in mathematicskit.optimization) graham_scan() (in module mathematicskit.geometry) gram_schmidt_qr() (in module mathematicskit.linalg) Graph (class in mathematicskit.graph_theory) gray_code() (in module mathematicskit.combinatorics) greedy_coloring() (in module mathematicskit.graph_theory) grid_graph() (in module mathematicskit.graph_theory) group_properties() (in module mathematicskit.abstract_algebra) GroupPropertiesResult (class in mathematicskit.abstract_algebra) H hall_condition() (in module mathematicskit.combinatorics) Halley (class in mathematicskit.numerical_analysis) HallResult (class in mathematicskit.combinatorics) hamiltonian_cycle() (in module mathematicskit.graph_theory) has_monochromatic_triangle() (in module mathematicskit.combinatorics) has_solution (mathematicskit.number_theory.LinearDiophantineResult attribute) hausdorff_distance() (in module mathematicskit.geometry) helix() (in module mathematicskit.geometry) henon_map() (in module mathematicskit.fractals_chaos) hermite_polynomial() (in module mathematicskit.special_functions) HermiteInterpolant (class in mathematicskit.numerical_analysis) heron_area() (in module mathematicskit.geometry) hessenberg_reduce() (in module mathematicskit.linalg) hilbert_curve() (in module mathematicskit.fractals_chaos) history (mathematicskit.numerical_analysis.RootResult attribute) homomorphism_image() (in module mathematicskit.abstract_algebra) homomorphism_kernel() (in module mathematicskit.abstract_algebra) HomomorphismResult (class in mathematicskit.abstract_algebra) hopf_limit_cycle_radius() (in module mathematicskit.ode_dynamics) horner() (in module mathematicskit.numerical_analysis) HornerResult (class in mathematicskit.numerical_analysis) householder_qr() (in module mathematicskit.linalg) hypergeometric_2f1() (in module mathematicskit.special_functions) HypothesisTestResult (class in mathematicskit.statistics) I identity (mathematicskit.abstract_algebra.GroupPropertiesResult attribute) identity() (mathematicskit.abstract_algebra.CyclicGroup method) (mathematicskit.abstract_algebra.FiniteGroup method) (mathematicskit.abstract_algebra.PermutationGroup method) (mathematicskit.abstract_algebra.QuaternionGroup method) (mathematicskit.abstract_algebra.QuotientGroup method) (mathematicskit.abstract_algebra.Subgroup method) image (mathematicskit.abstract_algebra.HomomorphismResult attribute) importance_sampling_integrate() (in module mathematicskit.probability) indices (mathematicskit.geometry.ClosestPairResult attribute) inner_product() (in module mathematicskit.special_functions) integer_linear_program() (in module mathematicskit.optimization) integer_partitions() (in module mathematicskit.combinatorics) integrate() (mathematicskit.calculus.AdaptiveQuadrature method) (mathematicskit.calculus.ClenshawCurtisQuadrature method) (mathematicskit.calculus.GaussianQuadrature method) (mathematicskit.calculus.Quadrature method) (mathematicskit.calculus.RiemannSum method) (mathematicskit.calculus.RombergQuadrature method) (mathematicskit.calculus.SimpsonsRule method) (mathematicskit.calculus.TanhSinhQuadrature method) (mathematicskit.calculus.TrapezoidalRule method) (mathematicskit.ode_dynamics.FlowSystem method) interior (mathematicskit.geometry.LatticePolygonResult attribute) Interpolant (class in mathematicskit.numerical_analysis) inverse() (mathematicskit.abstract_algebra.CyclicGroup method) (mathematicskit.abstract_algebra.FiniteGroup method) (mathematicskit.abstract_algebra.GF method) (mathematicskit.abstract_algebra.PermutationGroup method) (mathematicskit.abstract_algebra.QuaternionGroup method) (mathematicskit.abstract_algebra.QuotientGroup method) (mathematicskit.abstract_algebra.Subgroup method) inverse_iteration() (in module mathematicskit.linalg) is_abelian (mathematicskit.abstract_algebra.GroupPropertiesResult attribute) is_abelian() (mathematicskit.abstract_algebra.FiniteGroup method) is_cyclic() (in module mathematicskit.abstract_algebra) is_homomorphism (mathematicskit.abstract_algebra.HomomorphismResult attribute) is_homomorphism() (in module mathematicskit.abstract_algebra) is_irreducible() (in module mathematicskit.abstract_algebra) is_latin_square() (in module mathematicskit.combinatorics) is_normal_subgroup() (in module mathematicskit.abstract_algebra) is_prime_miller_rabin() (in module mathematicskit.number_theory) is_prime_trial_division() (in module mathematicskit.number_theory) is_solvable() (in module mathematicskit.abstract_algebra) is_symmetric() (in module mathematicskit.linalg) is_symmetric_positive_definite() (in module mathematicskit.linalg) items (mathematicskit.optimization.KnapsackResult attribute) iterate() (mathematicskit.ode_dynamics.LogisticMap method) IteratedFunctionSystem (class in mathematicskit.fractals_chaos) iterations (mathematicskit.fractals_chaos.EscapeTimeResult attribute) (mathematicskit.graph_theory.PageRankResult attribute) (mathematicskit.linalg.EigenResult attribute) (mathematicskit.linalg.IterativeSolveResult attribute) (mathematicskit.number_theory.PollardRhoResult attribute) (mathematicskit.numerical_analysis.MinimaxResult attribute) (mathematicskit.numerical_analysis.RootResult attribute) (mathematicskit.optimization.OptimizeResult attribute) (mathematicskit.optimization.ScalarSearchResult attribute) IterativeLinearSolver (class in mathematicskit.linalg) IterativeRootFinder (class in mathematicskit.numerical_analysis) IterativeSolveResult (class in mathematicskit.linalg) J jackknife() (in module mathematicskit.statistics) JackknifeResult (class in mathematicskit.statistics) jacobi_elliptic_functions() (in module mathematicskit.special_functions) jacobi_spectral_radius() (in module mathematicskit.linalg) jacobi_symbol() (in module mathematicskit.number_theory) jacobian (mathematicskit.ode_dynamics.FixedPointResult attribute) JacobiEllipticResult (class in mathematicskit.special_functions) JacobiIteration (class in mathematicskit.linalg) james_stein_estimator() (in module mathematicskit.statistics) julia_set() (in module mathematicskit.fractals_chaos) K k (mathematicskit.probability.TailBoundResult attribute) kahan_sum() (in module mathematicskit.numerical_analysis) kernel (mathematicskit.abstract_algebra.HomomorphismResult attribute) kkt (mathematicskit.optimization.LagrangeResult attribute) KKTResult (class in mathematicskit.optimization) knapsack() (in module mathematicskit.optimization) KnapsackResult (class in mathematicskit.optimization) koch_curve() (in module mathematicskit.fractals_chaos) koch_snowflake() (in module mathematicskit.fractals_chaos) kolmogorov_smirnov_test() (in module mathematicskit.statistics) kruskal_mst() (in module mathematicskit.graph_theory) kuramoto_lorentzian_order_parameter() (in module mathematicskit.ode_dynamics) kuramoto_order_parameter() (in module mathematicskit.ode_dynamics) KuramotoModel (class in mathematicskit.ode_dynamics) kurtosis (mathematicskit.statistics.DescriptiveStatsResult attribute) L L (mathematicskit.linalg.CholeskyResult attribute) (mathematicskit.linalg.LUResult attribute) labels (mathematicskit.graph_theory.ComponentsResult attribute) lagrange_stationary_point() (in module mathematicskit.optimization) LagrangeInterpolant (class in mathematicskit.numerical_analysis) LagrangeResult (class in mathematicskit.optimization) laguerre_polynomial() (in module mathematicskit.special_functions) lambert_w() (in module mathematicskit.special_functions) lanczos_eigsh() (in module mathematicskit.linalg) laplacian (mathematicskit.graph_theory.SpectralResult attribute) lattice_point_counts() (in module mathematicskit.geometry) LatticePolygonResult (class in mathematicskit.geometry) law_of_large_numbers_trace() (in module mathematicskit.probability) lcm() (in module mathematicskit.number_theory) least_squares_lstsq() (in module mathematicskit.linalg) least_squares_normal_equations() (in module mathematicskit.linalg) least_squares_qr() (in module mathematicskit.linalg) LeastSquaresResult (class in mathematicskit.linalg) (class in mathematicskit.optimization) lebesgue_constant() (in module mathematicskit.numerical_analysis) left_cosets() (in module mathematicskit.abstract_algebra) legendre_nodes_and_weights() (in module mathematicskit.calculus) legendre_polynomial() (in module mathematicskit.special_functions) legendre_symbol() (in module mathematicskit.number_theory) levenberg_marquardt() (in module mathematicskit.optimization) likelihood_ratio_test() (in module mathematicskit.statistics) Linear2D (class in mathematicskit.ode_dynamics) linear_program() (in module mathematicskit.optimization) linear_regression() (in module mathematicskit.statistics) LinearDiophantineResult (class in mathematicskit.number_theory) LinearProgramResult (class in mathematicskit.optimization) location (mathematicskit.ode_dynamics.FixedPointResult attribute) log() (mathematicskit.calculus.Dual method) (mathematicskit.calculus.Variable method) log_gamma_function() (in module mathematicskit.special_functions) log_likelihood (mathematicskit.statistics.MaximumLikelihoodResult attribute) logarithmic_integral() (in module mathematicskit.number_theory) logistic_growth_solution() (in module mathematicskit.ode_dynamics) LogisticGrowth (class in mathematicskit.ode_dynamics) LogisticMap (class in mathematicskit.ode_dynamics) longest_decreasing_subsequence() (in module mathematicskit.combinatorics) longest_increasing_subsequence() (in module mathematicskit.combinatorics) lorenz_fixed_points() (in module mathematicskit.ode_dynamics) LorenzSystem (class in mathematicskit.ode_dynamics) lotka_volterra_invariant() (in module mathematicskit.ode_dynamics) LotkaVolterra (class in mathematicskit.ode_dynamics) lower (mathematicskit.calculus.ExhaustionResult attribute) (mathematicskit.statistics.BootstrapResult attribute) (mathematicskit.statistics.ConfidenceIntervalResult attribute) lsystem() (in module mathematicskit.fractals_chaos) lu_decompose() (in module mathematicskit.linalg) lu_det() (in module mathematicskit.linalg) lu_solve() (in module mathematicskit.linalg) lu_solve_system() (in module mathematicskit.linalg) lucas_lehmer() (in module mathematicskit.number_theory) LUResult (class in mathematicskit.linalg) lyapunov_exponent_1d_map() (in module mathematicskit.fractals_chaos) lyapunov_exponent_flow() (in module mathematicskit.fractals_chaos) lyapunov_quadratic_form() (in module mathematicskit.ode_dynamics) LyapunovFunctionResult (class in mathematicskit.ode_dynamics) M maclaurin_coefficients() (in module mathematicskit.calculus) mandelbrot_set() (in module mathematicskit.fractals_chaos) mann_whitney_u_test() (in module mathematicskit.statistics) MarkovChain (class in mathematicskit.probability) matching (mathematicskit.combinatorics.HallResult attribute) mathematicskit.abstract_algebra module mathematicskit.calculus module mathematicskit.combinatorics module mathematicskit.fractals_chaos module mathematicskit.geometry module mathematicskit.graph_theory module mathematicskit.linalg module mathematicskit.number_theory module mathematicskit.numerical_analysis module mathematicskit.ode_dynamics module mathematicskit.optimization module mathematicskit.probability module mathematicskit.special_functions module mathematicskit.statistics module mathieu_characteristic_a() (in module mathematicskit.special_functions) mathieu_characteristic_b() (in module mathematicskit.special_functions) mathieu_even() (in module mathematicskit.special_functions) mathieu_odd() (in module mathematicskit.special_functions) matrix_polynomial() (in module mathematicskit.linalg) max_error (mathematicskit.numerical_analysis.MinimaxResult attribute) max_error_naive_vs_numpy (mathematicskit.special_functions.FFTComparisonResult attribute) max_error_radix2_vs_numpy (mathematicskit.special_functions.FFTComparisonResult attribute) max_flow_min_cut() (in module mathematicskit.graph_theory) max_iter (mathematicskit.fractals_chaos.EscapeTimeResult attribute) MaxFlowResult (class in mathematicskit.graph_theory) maximum (mathematicskit.statistics.DescriptiveStatsResult attribute) maximum_likelihood_fit() (in module mathematicskit.statistics) maximum_matching() (in module mathematicskit.combinatorics) MaximumLikelihoodResult (class in mathematicskit.statistics) mean (mathematicskit.geometry.SurfaceCurvatureResult attribute) (mathematicskit.probability.ContinuousDistribution property) (mathematicskit.probability.DiscreteDistribution property) (mathematicskit.statistics.DescriptiveStatsResult attribute) mean_confidence_interval() (in module mathematicskit.statistics) median (mathematicskit.statistics.DescriptiveStatsResult attribute) message (mathematicskit.optimization.LeastSquaresResult attribute) (mathematicskit.optimization.LinearProgramResult attribute) method (mathematicskit.calculus.DerivativeResult attribute) (mathematicskit.calculus.QuadratureResult attribute) (mathematicskit.geometry.ConvexHullResult attribute) (mathematicskit.graph_theory.ColoringResult attribute) (mathematicskit.graph_theory.MSTResult attribute) (mathematicskit.graph_theory.ShortestPathResult attribute) (mathematicskit.linalg.EigenResult attribute) (mathematicskit.linalg.GaussSeidel attribute) (mathematicskit.linalg.IterativeSolveResult attribute) (mathematicskit.linalg.JacobiIteration attribute) (mathematicskit.linalg.LeastSquaresResult attribute) (mathematicskit.linalg.QRResult attribute) (mathematicskit.linalg.SOR attribute) (mathematicskit.numerical_analysis.RootResult attribute) (mathematicskit.ode_dynamics.OdeTrajectory attribute) (mathematicskit.optimization.OptimizeResult attribute) (mathematicskit.probability.MonteCarloResult attribute) (mathematicskit.statistics.BootstrapResult attribute) (mathematicskit.statistics.ConfidenceIntervalResult attribute) (mathematicskit.statistics.CorrelationResult attribute) (mathematicskit.statistics.HypothesisTestResult attribute) (mathematicskit.statistics.MultipleTestingResult attribute) mgf() (mathematicskit.probability.Beta method) (mathematicskit.probability.Binomial method) (mathematicskit.probability.ContinuousDistribution method) (mathematicskit.probability.DiscreteDistribution method) (mathematicskit.probability.Exponential method) (mathematicskit.probability.Gamma method) (mathematicskit.probability.Geometric method) (mathematicskit.probability.Normal method) (mathematicskit.probability.Poisson method) (mathematicskit.probability.Uniform method) min_cut (mathematicskit.graph_theory.MaxFlowResult attribute) min_enclosing_circle() (in module mathematicskit.geometry) MinimaxResult (class in mathematicskit.numerical_analysis) minimize() (mathematicskit.optimization.Adam method) (mathematicskit.optimization.BFGS method) (mathematicskit.optimization.GradientDescent method) (mathematicskit.optimization.GradientDescentLineSearch method) (mathematicskit.optimization.NelderMead method) (mathematicskit.optimization.NesterovAcceleratedGradient method) (mathematicskit.optimization.NewtonMethod method) (mathematicskit.optimization.NonlinearConjugateGradient method) (mathematicskit.optimization.PenaltyMethod method) (mathematicskit.optimization.UnconstrainedOptimizer method) minimum (mathematicskit.statistics.DescriptiveStatsResult attribute) mobius() (in module mathematicskit.number_theory) mod_inverse() (in module mathematicskit.number_theory) module mathematicskit.abstract_algebra mathematicskit.calculus mathematicskit.combinatorics mathematicskit.fractals_chaos mathematicskit.geometry mathematicskit.graph_theory mathematicskit.linalg mathematicskit.number_theory mathematicskit.numerical_analysis mathematicskit.ode_dynamics mathematicskit.optimization mathematicskit.probability mathematicskit.special_functions mathematicskit.statistics modulus (mathematicskit.number_theory.CRTResult attribute) monte_carlo_integrate() (in module mathematicskit.probability) MonteCarloResult (class in mathematicskit.probability) MSTResult (class in mathematicskit.graph_theory) multinomial_coefficient() (in module mathematicskit.combinatorics) MultipleTestingResult (class in mathematicskit.statistics) multipliers (mathematicskit.optimization.LagrangeResult attribute) multiply() (mathematicskit.abstract_algebra.GF method) N n (mathematicskit.combinatorics.YoungDiagram property) (mathematicskit.statistics.CorrelationResult attribute) (mathematicskit.statistics.DescriptiveStatsResult attribute) n_components (mathematicskit.graph_theory.ComponentsResult attribute) n_drops (mathematicskit.probability.BuffonNeedleResult attribute) n_evaluations (mathematicskit.calculus.QuadratureResult attribute) n_expanded (mathematicskit.graph_theory.SearchResult attribute) n_params (mathematicskit.statistics.MaximumLikelihoodResult attribute) n_samples (mathematicskit.probability.MonteCarloResult attribute) naive_result (mathematicskit.special_functions.FFTComparisonResult attribute) naive_time (mathematicskit.special_functions.FFTComparisonResult attribute) neighbors() (mathematicskit.graph_theory.Graph method) NelderMead (class in mathematicskit.optimization) NesterovAcceleratedGradient (class in mathematicskit.optimization) NewtonDividedDifference (class in mathematicskit.numerical_analysis) NewtonMethod (class in mathematicskit.optimization) NewtonRaphson (class in mathematicskit.numerical_analysis) nfev (mathematicskit.optimization.LeastSquaresResult attribute) (mathematicskit.optimization.ScalarSearchResult attribute) Nonlinear2D (class in mathematicskit.ode_dynamics) NonlinearConjugateGradient (class in mathematicskit.optimization) Normal (class in mathematicskit.probability) normal (mathematicskit.geometry.CurveFrameResult attribute) num_colors (mathematicskit.graph_theory.ColoringResult attribute) num_row_swaps (mathematicskit.linalg.LUResult attribute) numerical_jacobian() (in module mathematicskit.ode_dynamics) numpy_result (mathematicskit.special_functions.FFTComparisonResult attribute) numpy_time (mathematicskit.special_functions.FFTComparisonResult attribute) O OdeTrajectory (class in mathematicskit.ode_dynamics) one_sample_t_test() (in module mathematicskit.statistics) one_sample_z_test() (in module mathematicskit.statistics) one_way_anova() (in module mathematicskit.statistics) operate() (mathematicskit.abstract_algebra.CyclicGroup method) (mathematicskit.abstract_algebra.FiniteGroup method) (mathematicskit.abstract_algebra.PermutationGroup method) (mathematicskit.abstract_algebra.QuaternionGroup method) (mathematicskit.abstract_algebra.QuotientGroup method) (mathematicskit.abstract_algebra.Subgroup method) optimal_sor_omega() (in module mathematicskit.linalg) OptimizeResult (class in mathematicskit.optimization) orbits() (in module mathematicskit.abstract_algebra) order (mathematicskit.abstract_algebra.FiniteGroup property) (mathematicskit.abstract_algebra.GF property) (mathematicskit.abstract_algebra.GroupPropertiesResult attribute) order_statistic() (in module mathematicskit.statistics) orthogonal_latin_square_pair() (in module mathematicskit.combinatorics) orthogonality_error() (in module mathematicskit.linalg) P p (mathematicskit.abstract_algebra.SylowResult attribute) P (mathematicskit.linalg.LUResult attribute) (mathematicskit.ode_dynamics.LyapunovFunctionResult attribute) p_value (mathematicskit.statistics.CorrelationResult attribute) (mathematicskit.statistics.HypothesisTestResult attribute) p_values (mathematicskit.statistics.RegressionResult attribute) PadeApproximant (class in mathematicskit.numerical_analysis) pagerank() (in module mathematicskit.graph_theory) PageRankResult (class in mathematicskit.graph_theory) pairs (mathematicskit.graph_theory.BipartiteMatchingResult attribute) params (mathematicskit.ode_dynamics.FlowSystem attribute) (mathematicskit.statistics.MaximumLikelihoodResult attribute) partial_sums() (in module mathematicskit.calculus) partition_function() (in module mathematicskit.combinatorics) parts (mathematicskit.combinatorics.YoungDiagram attribute) pascals_triangle() (in module mathematicskit.combinatorics) path (mathematicskit.graph_theory.SearchResult attribute) (mathematicskit.optimization.OptimizeResult attribute) path_graph() (in module mathematicskit.graph_theory) paths (mathematicskit.probability.BrownianMotionResult attribute) pdf() (mathematicskit.probability.Beta method) (mathematicskit.probability.ContinuousDistribution method) (mathematicskit.probability.Exponential method) (mathematicskit.probability.Gamma method) (mathematicskit.probability.Normal method) (mathematicskit.probability.Uniform method) pearson_correlation() (in module mathematicskit.statistics) PellResult (class in mathematicskit.number_theory) PenaltyMethod (class in mathematicskit.optimization) penrose_residuals() (in module mathematicskit.linalg) PermutationGroup (class in mathematicskit.abstract_algebra) permutations_count() (in module mathematicskit.combinatorics) pi_estimate (mathematicskit.probability.BuffonNeedleResult attribute) pick_area (mathematicskit.geometry.LatticePolygonResult property) pitchfork_fixed_points() (in module mathematicskit.ode_dynamics) pmf() (mathematicskit.probability.Binomial method) (mathematicskit.probability.DiscreteDistribution method) (mathematicskit.probability.Geometric method) (mathematicskit.probability.Poisson method) point_in_polygon() (in module mathematicskit.geometry) points (mathematicskit.geometry.ConvexHullResult attribute) (mathematicskit.geometry.SurfaceCurvatureResult attribute) (mathematicskit.geometry.TriangulationResult attribute) (mathematicskit.geometry.VoronoiResult attribute) Poisson (class in mathematicskit.probability) pollard_rho() (in module mathematicskit.number_theory) PollardRhoResult (class in mathematicskit.number_theory) poly_add() (in module mathematicskit.abstract_algebra) poly_divmod() (in module mathematicskit.abstract_algebra) poly_gcd() (in module mathematicskit.abstract_algebra) poly_mul() (in module mathematicskit.abstract_algebra) poly_sub() (in module mathematicskit.abstract_algebra) polygon_area() (in module mathematicskit.geometry) polygon_centroid() (in module mathematicskit.geometry) polyhedron_counts() (in module mathematicskit.geometry) PolyhedronResult (class in mathematicskit.geometry) Polynomial (class in mathematicskit.abstract_algebra) PolynomialRegression (class in mathematicskit.numerical_analysis) position (mathematicskit.geometry.CurveFrameResult attribute) positive_definite (mathematicskit.ode_dynamics.LyapunovFunctionResult attribute) power_iteration() (in module mathematicskit.linalg) ppf() (mathematicskit.probability.ContinuousDistribution method) (mathematicskit.probability.DiscreteDistribution method) predecessors (mathematicskit.graph_theory.ShortestPathResult attribute) predict() (mathematicskit.numerical_analysis.PolynomialRegression method) prim_mst() (in module mathematicskit.graph_theory) primal_feasible (mathematicskit.optimization.KKTResult attribute) prime_counting() (in module mathematicskit.number_theory) prime_factorization() (in module mathematicskit.number_theory) primes_in_progression() (in module mathematicskit.number_theory) proportion_confidence_interval() (in module mathematicskit.statistics) prufer_decode() (in module mathematicskit.combinatorics) prufer_encode() (in module mathematicskit.combinatorics) pseudoinverse() (in module mathematicskit.linalg) Q Q (mathematicskit.linalg.QRResult attribute) (mathematicskit.ode_dynamics.LyapunovFunctionResult attribute) q1 (mathematicskit.statistics.DescriptiveStatsResult attribute) q3 (mathematicskit.statistics.DescriptiveStatsResult attribute) QRResult (class in mathematicskit.linalg) quadratic_bowl() (in module mathematicskit.optimization) quadratic_bowl_grad() (in module mathematicskit.optimization) quadratic_bowl_hess() (in module mathematicskit.optimization) Quadrature (class in mathematicskit.calculus) QuadratureResult (class in mathematicskit.calculus) QuaternionGroup (class in mathematicskit.abstract_algebra) quotient (mathematicskit.numerical_analysis.HornerResult attribute) quotient_group() (in module mathematicskit.abstract_algebra) QuotientGroup (class in mathematicskit.abstract_algebra) R R (mathematicskit.linalg.QRResult attribute) r0 (mathematicskit.ode_dynamics.SIRModel property) r_squared (mathematicskit.numerical_analysis.RegressionResult attribute) (mathematicskit.statistics.RegressionResult attribute) radii (mathematicskit.linalg.GershgorinResult attribute) radius (mathematicskit.geometry.CircleResult attribute) radix2_result (mathematicskit.special_functions.FFTComparisonResult attribute) radix2_time (mathematicskit.special_functions.FFTComparisonResult attribute) random_graph() (in module mathematicskit.graph_theory) random_spd_matrix() (in module mathematicskit.linalg) random_walk_return_fraction() (in module mathematicskit.probability) real (mathematicskit.calculus.Dual attribute) reference (mathematicskit.numerical_analysis.MinimaxResult attribute) reflection (mathematicskit.abstract_algebra.DihedralGroup property) regions (mathematicskit.geometry.VoronoiResult attribute) RegressionResult (class in mathematicskit.numerical_analysis) (class in mathematicskit.statistics) reject_null() (mathematicskit.statistics.HypothesisTestResult method) rejected (mathematicskit.statistics.MultipleTestingResult attribute) remez_minimax() (in module mathematicskit.numerical_analysis) replicates (mathematicskit.statistics.JackknifeResult attribute) reset() (mathematicskit.ode_dynamics.FlowSystem method) residual_history (mathematicskit.linalg.IterativeSolveResult attribute) residual_norm (mathematicskit.linalg.LeastSquaresResult attribute) residuals (mathematicskit.numerical_analysis.RegressionResult attribute) (mathematicskit.optimization.LeastSquaresResult attribute) (mathematicskit.statistics.RegressionResult attribute) residue (mathematicskit.number_theory.CRTResult attribute) return_probability_1d() (in module mathematicskit.probability) rhs() (mathematicskit.ode_dynamics.Brusselator method) (mathematicskit.ode_dynamics.DuffingOscillator method) (mathematicskit.ode_dynamics.FitzHughNagumo method) (mathematicskit.ode_dynamics.FlowSystem method) (mathematicskit.ode_dynamics.KuramotoModel method) (mathematicskit.ode_dynamics.Linear2D method) (mathematicskit.ode_dynamics.LogisticGrowth method) (mathematicskit.ode_dynamics.LorenzSystem method) (mathematicskit.ode_dynamics.LotkaVolterra method) (mathematicskit.ode_dynamics.Nonlinear2D method) (mathematicskit.ode_dynamics.RosslerSystem method) (mathematicskit.ode_dynamics.SIRModel method) (mathematicskit.ode_dynamics.VanDerPolOscillator method) richardson_extrapolation() (in module mathematicskit.calculus) ridge_points (mathematicskit.geometry.VoronoiResult attribute) riemann_zeta() (in module mathematicskit.special_functions) RiemannSum (class in mathematicskit.calculus) robbins_monro() (in module mathematicskit.optimization) RombergQuadrature (class in mathematicskit.calculus) root (mathematicskit.numerical_analysis.RootResult attribute) root_condition_numbers() (in module mathematicskit.numerical_analysis) RootResult (class in mathematicskit.numerical_analysis) rosenbrock() (in module mathematicskit.optimization) rosenbrock_grad() (in module mathematicskit.optimization) rosenbrock_hess() (in module mathematicskit.optimization) rossler_fixed_points() (in module mathematicskit.ode_dynamics) RosslerSystem (class in mathematicskit.ode_dynamics) rotation (mathematicskit.abstract_algebra.DihedralGroup property) row_strategy (mathematicskit.optimization.GameResult attribute) rows (mathematicskit.graph_theory.AssignmentResult attribute) rs_decode_erasures() (in module mathematicskit.abstract_algebra) rs_encode() (in module mathematicskit.abstract_algebra) rule_of_succession() (in module mathematicskit.probability) rules_out_periodic_orbits (mathematicskit.ode_dynamics.BendixsonResult attribute) run() (mathematicskit.fractals_chaos.CellularAutomaton method) runge_function() (in module mathematicskit.numerical_analysis) runge_phenomenon_errors() (in module mathematicskit.numerical_analysis) S S (mathematicskit.linalg.SVDResult attribute) s (mathematicskit.special_functions.FresnelResult attribute) saddle_node_fixed_points() (in module mathematicskit.ode_dynamics) sample() (mathematicskit.probability.ContinuousDistribution method) (mathematicskit.probability.DiscreteDistribution method) satisfied (mathematicskit.combinatorics.HallResult attribute) (mathematicskit.optimization.KKTResult attribute) ScalarSearchResult (class in mathematicskit.optimization) schur_decompose() (in module mathematicskit.linalg) SchurResult (class in mathematicskit.linalg) scores (mathematicskit.graph_theory.PageRankResult attribute) SearchResult (class in mathematicskit.graph_theory) Secant (class in mathematicskit.numerical_analysis) second_derivative_at_nodes() (mathematicskit.numerical_analysis.CubicSpline method) segment_intersection() (in module mathematicskit.geometry) series (mathematicskit.abstract_algebra.CompositionSeriesResult attribute) ShortestPathResult (class in mathematicskit.graph_theory) sides (mathematicskit.calculus.ExhaustionResult attribute) SierpinskiCarpet (class in mathematicskit.fractals_chaos) SierpinskiTriangle (class in mathematicskit.fractals_chaos) sieve_of_eratosthenes() (in module mathematicskit.number_theory) similarity_dimension() (in module mathematicskit.fractals_chaos) simple_random_walk() (in module mathematicskit.probability) simplices (mathematicskit.geometry.ConvexHullResult attribute) (mathematicskit.geometry.TriangulationResult attribute) SimpsonsRule (class in mathematicskit.calculus) sin() (mathematicskit.calculus.Dual method) (mathematicskit.calculus.Variable method) sir_final_size() (in module mathematicskit.ode_dynamics) sir_peak_infected() (in module mathematicskit.ode_dynamics) SIRModel (class in mathematicskit.ode_dynamics) size (mathematicskit.graph_theory.BipartiteMatchingResult property) sizes (mathematicskit.graph_theory.ComponentsResult attribute) skewness (mathematicskit.statistics.DescriptiveStatsResult attribute) sn (mathematicskit.special_functions.JacobiEllipticResult attribute) solve() (mathematicskit.linalg.ConjugateGradient method) (mathematicskit.linalg.GMRES method) (mathematicskit.linalg.IterativeLinearSolver method) (mathematicskit.linalg.SOR method) (mathematicskit.numerical_analysis.Bisection method) (mathematicskit.numerical_analysis.FixedPointIteration method) (mathematicskit.numerical_analysis.Halley method) (mathematicskit.numerical_analysis.IterativeRootFinder method) (mathematicskit.numerical_analysis.NewtonRaphson method) (mathematicskit.numerical_analysis.Secant method) (mathematicskit.numerical_analysis.Steffensen method) solve_assignment() (in module mathematicskit.graph_theory) solve_linear_diophantine() (in module mathematicskit.number_theory) solve_pell_equation() (in module mathematicskit.number_theory) solve_zero_sum_game() (in module mathematicskit.optimization) SOR (class in mathematicskit.linalg) spearman_correlation() (in module mathematicskit.statistics) spectral_analysis() (in module mathematicskit.graph_theory) SpectralResult (class in mathematicskit.graph_theory) sphere_surface() (in module mathematicskit.geometry) sqrt() (mathematicskit.calculus.Dual method) sqrt_mod() (in module mathematicskit.number_theory) st_petersburg_certainty_equivalent() (in module mathematicskit.probability) st_petersburg_payoffs() (in module mathematicskit.probability) stable (mathematicskit.ode_dynamics.FixedPointResult attribute) standard_errors (mathematicskit.statistics.RegressionResult attribute) state (mathematicskit.fractals_chaos.CellularAutomaton attribute) stationarity_residual (mathematicskit.optimization.KKTResult attribute) stationary_distribution() (mathematicskit.probability.MarkovChain method) stationary_distribution_power_iteration() (mathematicskit.probability.MarkovChain method) statistic (mathematicskit.statistics.HypothesisTestResult attribute) std (mathematicskit.probability.ContinuousDistribution property) (mathematicskit.probability.DiscreteDistribution property) (mathematicskit.statistics.DescriptiveStatsResult attribute) std_error (mathematicskit.probability.MonteCarloResult attribute) (mathematicskit.statistics.BootstrapResult attribute) (mathematicskit.statistics.JackknifeResult attribute) Steffensen (class in mathematicskit.numerical_analysis) step (mathematicskit.calculus.DerivativeResult attribute) step() (mathematicskit.fractals_chaos.CellularAutomaton method) (mathematicskit.fractals_chaos.ElementaryCA method) (mathematicskit.fractals_chaos.GameOfLife method) stirling_factorial() (in module mathematicskit.special_functions) stirling_first_kind() (in module mathematicskit.combinatorics) stirling_log_gamma() (in module mathematicskit.special_functions) stirling_second_kind() (in module mathematicskit.combinatorics) stroboscopic_poincare_section() (in module mathematicskit.ode_dynamics) Subgroup (class in mathematicskit.abstract_algebra) subgroups (mathematicskit.abstract_algebra.SylowResult attribute) success (mathematicskit.optimization.LeastSquaresResult attribute) (mathematicskit.optimization.LinearProgramResult attribute) sum_of_four_squares() (in module mathematicskit.number_theory) sum_of_powers() (in module mathematicskit.combinatorics) sum_of_two_squares() (in module mathematicskit.number_theory) surface_curvature() (in module mathematicskit.geometry) SurfaceCurvatureResult (class in mathematicskit.geometry) svd_decompose() (in module mathematicskit.linalg) SVDResult (class in mathematicskit.linalg) sylow_order (mathematicskit.abstract_algebra.SylowResult attribute) sylow_subgroups() (in module mathematicskit.abstract_algebra) SylowResult (class in mathematicskit.abstract_algebra) T t (mathematicskit.geometry.CurveFrameResult attribute) T (mathematicskit.linalg.SchurResult attribute) t (mathematicskit.ode_dynamics.OdeTrajectory attribute) (mathematicskit.special_functions.FresnelResult attribute) t_statistics (mathematicskit.statistics.RegressionResult attribute) table (mathematicskit.optimization.KnapsackResult attribute) TailBoundResult (class in mathematicskit.probability) tangent (mathematicskit.geometry.CurveFrameResult attribute) TanhSinhQuadrature (class in mathematicskit.calculus) taylor_remainder_bound() (in module mathematicskit.calculus) terms (mathematicskit.number_theory.ContinuedFractionResult attribute) times (mathematicskit.probability.BrownianMotionResult attribute) to_sparse() (mathematicskit.graph_theory.Graph method) torsion (mathematicskit.geometry.CurveFrameResult attribute) torus_surface() (in module mathematicskit.geometry) total_cost (mathematicskit.graph_theory.AssignmentResult attribute) total_weight (mathematicskit.graph_theory.MSTResult attribute) transforms (mathematicskit.fractals_chaos.IteratedFunctionSystem attribute) TrapezoidalRule (class in mathematicskit.calculus) TriangulationResult (class in mathematicskit.geometry) truncation_error() (in module mathematicskit.calculus) turan_graph() (in module mathematicskit.graph_theory) turan_number() (in module mathematicskit.graph_theory) turtle_path() (in module mathematicskit.fractals_chaos) two_sample_t_test() (in module mathematicskit.statistics) two_sample_z_test() (in module mathematicskit.statistics) U u (mathematicskit.geometry.SurfaceCurvatureResult attribute) U (mathematicskit.linalg.LUResult attribute) (mathematicskit.linalg.SVDResult attribute) UnconstrainedOptimizer (class in mathematicskit.optimization) Uniform (class in mathematicskit.probability) union_size_inclusion_exclusion() (in module mathematicskit.combinatorics) upper (mathematicskit.calculus.ExhaustionResult attribute) (mathematicskit.statistics.BootstrapResult attribute) (mathematicskit.statistics.ConfidenceIntervalResult attribute) V v (mathematicskit.geometry.SurfaceCurvatureResult attribute) value (mathematicskit.calculus.DerivativeResult attribute) (mathematicskit.calculus.QuadratureResult attribute) (mathematicskit.calculus.Variable attribute) (mathematicskit.numerical_analysis.HornerResult attribute) (mathematicskit.optimization.GameResult attribute) (mathematicskit.optimization.KnapsackResult attribute) VanDerPolOscillator (class in mathematicskit.ode_dynamics) Variable (class in mathematicskit.calculus) variance (mathematicskit.probability.ContinuousDistribution property) (mathematicskit.probability.DiscreteDistribution property) (mathematicskit.statistics.DescriptiveStatsResult attribute) variance_confidence_interval() (in module mathematicskit.statistics) vector_field_grid() (in module mathematicskit.ode_dynamics) verify_kkt() (in module mathematicskit.optimization) vertex_cover (mathematicskit.graph_theory.BipartiteMatchingResult attribute) vertices (mathematicskit.geometry.ConvexHullResult attribute) (mathematicskit.geometry.PolyhedronResult attribute) (mathematicskit.geometry.VoronoiResult attribute) violating_subset (mathematicskit.combinatorics.HallResult attribute) volume (mathematicskit.geometry.ConvexHullResult attribute) voronoi_diagram() (in module mathematicskit.geometry) VoronoiResult (class in mathematicskit.geometry) Vt (mathematicskit.linalg.SVDResult attribute) W weierstrass_function() (in module mathematicskit.fractals_chaos) weight (mathematicskit.optimization.KnapsackResult attribute) width() (mathematicskit.statistics.ConfidenceIntervalResult method) wilcoxon_signed_rank_test() (in module mathematicskit.statistics) wilkinson_polynomial() (in module mathematicskit.numerical_analysis) X x (mathematicskit.linalg.IterativeSolveResult attribute) (mathematicskit.number_theory.BezoutResult attribute) (mathematicskit.number_theory.PellResult attribute) X (mathematicskit.ode_dynamics.BendixsonResult attribute) x (mathematicskit.optimization.KKTResult attribute) (mathematicskit.optimization.LagrangeResult attribute) (mathematicskit.optimization.LeastSquaresResult attribute) (mathematicskit.optimization.LinearProgramResult attribute) (mathematicskit.optimization.OptimizeResult attribute) (mathematicskit.optimization.ScalarSearchResult attribute) (mathematicskit.special_functions.AiryResult attribute) x0 (mathematicskit.number_theory.LinearDiophantineResult attribute) x_step (mathematicskit.number_theory.LinearDiophantineResult attribute) Y y (mathematicskit.number_theory.BezoutResult attribute) (mathematicskit.number_theory.PellResult attribute) Y (mathematicskit.ode_dynamics.BendixsonResult attribute) y (mathematicskit.ode_dynamics.OdeTrajectory attribute) y0 (mathematicskit.number_theory.LinearDiophantineResult attribute) y_step (mathematicskit.number_theory.LinearDiophantineResult attribute) YoungDiagram (class in mathematicskit.combinatorics) Z Z (mathematicskit.linalg.SchurResult attribute)