List of all items

Structs

• numerical::computer_graphics::Point3D
• numerical::computer_graphics::Vector3D
• numerical::error_correction::PolyGF256
• numerical::finite_field::PrimeFieldElement
• numerical::geometric_algebra::Multivector3D
• numerical::graph::Graph
• numerical::graph::State
• numerical::matrix::Matrix
• numerical::optimize::LinearRegression
• numerical::optimize::OptimizationConfig
• numerical::optimize::Rastrigin
• numerical::optimize::Rosenbrock
• numerical::optimize::Sphere
• numerical::physics_fea::LinearElement1D
• numerical::physics_md::Particle
• numerical::polynomial::Polynomial
• numerical::stats::BinomialDist
• numerical::stats::ExponentialDist
• numerical::stats::GammaDist
• numerical::stats::NormalDist
• numerical::stats::PoissonDist
• numerical::stats::UniformDist
• output::pretty_print::PrintBox
• physics::physics_bem::Element2D
• physics::physics_bem::Vector2D
• physics::physics_bem::Vector3D
• physics::physics_em::OrbitalSystem
• physics::physics_em::StiffDecaySystem
• physics::physics_fdm::Grid
• physics::physics_fem::GaussQuadrature
• physics::physics_fvm::Cell
• physics::physics_fvm::Mesh
• physics::physics_fvm::Mesh2D
• physics::physics_fvm::Mesh3D
• physics::physics_mm::Particle
• physics::physics_mm::Poly6Kernel
• physics::physics_mm::SPHSystem
• physics::physics_mm::SpikyKernel
• physics::physics_mm::Vector2D
• physics::physics_mtm::Grid
• physics::physics_mtm::Grid2D
• physics::physics_rkm::DampedOscillatorSystem
• physics::physics_rkm::DormandPrince54
• physics::physics_rkm::LorenzSystem
• physics::physics_sim::fdtd_electrodynamics::FdtdParameters
• physics::physics_sim::geodesic_relativity::GeodesicParameters
• physics::physics_sim::geodesic_relativity::SchwarzschildSystem
• physics::physics_sim::gpe_superfluidity::GpeParameters
• physics::physics_sim::ising_statistical::IsingParameters
• physics::physics_sim::linear_elasticity::ElasticityParameters
• physics::physics_sim::navier_stokes_fluid::NavierStokesParameters
• physics::physics_sim::schrodinger_quantum::SchrodingerParameters
• symbolic::cad::Cad
• symbolic::cad::CadCell
• symbolic::classical_mechanics::Kinematics
• symbolic::complex_analysis::PathContinuation
• symbolic::computer_graphics::BSplineCurve
• symbolic::computer_graphics::BezierCurve
• symbolic::computer_graphics::Polygon
• symbolic::computer_graphics::PolygonMesh
• symbolic::core::DagManager
• symbolic::core::DagNode
• symbolic::core::Monomial
• symbolic::core::SparsePolynomial
• symbolic::cryptography::EcdhKeyPair
• symbolic::cryptography::EllipticCurve
• symbolic::differential_geometry::DifferentialForm
• symbolic::electromagnetism::MaxwellEquations
• symbolic::error_correction_helper::FieldElement
• symbolic::error_correction_helper::FiniteField
• symbolic::finite_field::ExtensionField
• symbolic::finite_field::ExtensionFieldElement
• symbolic::finite_field::FiniteFieldPolynomial
• symbolic::finite_field::PrimeField
• symbolic::finite_field::PrimeFieldElement
• symbolic::fractal_geometry_and_chaos::IteratedFunctionSystem
• symbolic::functional_analysis::BanachSpace
• symbolic::functional_analysis::HilbertSpace
• symbolic::geometric_algebra::Multivector
• symbolic::graph::Graph
• symbolic::graph_algorithms::DSU
• symbolic::group_theory::Group
• symbolic::group_theory::GroupElement
• symbolic::group_theory::Representation
• symbolic::integral_equations::FredholmEquation
• symbolic::integral_equations::VolterraEquation
• symbolic::lie_groups_and_algebras::LieAlgebra
• symbolic::lie_groups_and_algebras::LieAlgebraElement
• symbolic::ode::ParsedODE
• symbolic::optimize::CriticalPoint
• symbolic::pde::BoundaryConditions
• symbolic::quantum_mechanics::Bra
• symbolic::quantum_mechanics::Ket
• symbolic::quantum_mechanics::Operator
• symbolic::rewriting::RewriteRule
• symbolic::simplify::RewriteRule
• symbolic::solid_state_physics::CrystalLattice
• symbolic::stats_inference::HypothesisTest
• symbolic::stats_probability::Bernoulli
• symbolic::stats_probability::Beta
• symbolic::stats_probability::Binomial
• symbolic::stats_probability::Exponential
• symbolic::stats_probability::Gamma
• symbolic::stats_probability::Normal
• symbolic::stats_probability::Poisson
• symbolic::stats_probability::StudentT
• symbolic::stats_probability::Uniform
• symbolic::tensor::MetricTensor
• symbolic::tensor::Tensor
• symbolic::topology::Chain
• symbolic::topology::ChainComplex
• symbolic::topology::Filtration
• symbolic::topology::Simplex
• symbolic::topology::SimplicialComplex
• symbolic::unit_unification::UnitQuantity
• symbolic::vector::Vector
• symbolic::vector_calculus::ParametricCurve
• symbolic::vector_calculus::ParametricSurface
• symbolic::vector_calculus::Volume

Enums

• numerical::integrate::QuadratureMethod
• numerical::optimize::ProblemType
• numerical::solve::LinearSolution
• physics::physics_bem::BoundaryCondition
• physics::physics_fdm::Dimensions
• symbolic::convergence::ConvergenceResult
• symbolic::coordinates::CoordinateSystem
• symbolic::coordinates::TensorType
• symbolic::core::DagOp
• symbolic::core::Expr
• symbolic::core::PathType
• symbolic::cryptography::CurvePoint
• symbolic::functional_analysis::LinearOperator
• symbolic::grobner::MonomialOrder
• symbolic::logic::Literal
• symbolic::optimize::ExtremumType
• symbolic::unit_unification::SupportedQuantity

Traits

• numerical::matrix::Field
• physics::physics_em::LinearOdeSystem
• physics::physics_em::MechanicalSystem
• physics::physics_rkm::OdeSystem
• symbolic::core::Distribution

Functions

• ffi_api::expr_free
• ffi_api::expr_from_json
• ffi_api::expr_simplify
• ffi_api::expr_to_json
• ffi_api::expr_to_string
• ffi_api::expr_unify_expression
• ffi_api::free_string
• ffi_api::rssn_test_string_passing
• numerical::calculus::gradient
• numerical::calculus_of_variations::evaluate_action
• numerical::combinatorics::combinations
• numerical::combinatorics::factorial
• numerical::combinatorics::permutations
• numerical::combinatorics::solve_recurrence_numerical
• numerical::complex_analysis::eval_complex_expr
• numerical::computer_graphics::cross_product
• numerical::computer_graphics::dot_product
• numerical::computer_graphics::rotation_matrix_x
• numerical::computer_graphics::scaling_matrix
• numerical::computer_graphics::translation_matrix
• numerical::convergence::aitken_acceleration
• numerical::convergence::find_sequence_limit
• numerical::convergence::sum_series_numerical
• numerical::coordinates::numerical_jacobian
• numerical::coordinates::transform_point
• numerical::coordinates::transform_point_pure
• numerical::differential_geometry::christoffel_symbols
• numerical::elementary::eval_expr
• numerical::error_correction::reed_solomon_decode
• numerical::error_correction::reed_solomon_encode
• numerical::finite_field::gf256_add
• numerical::finite_field::gf256_div
• numerical::finite_field::gf256_inv
• numerical::finite_field::gf256_mul
• numerical::fractal_geometry_and_chaos::generate_lorenz_attractor
• numerical::fractal_geometry_and_chaos::generate_mandelbrot_set
• numerical::functional_analysis::infinity_norm
• numerical::functional_analysis::inner_product
• numerical::functional_analysis::l1_norm
• numerical::functional_analysis::l2_norm
• numerical::graph::dijkstra
• numerical::integrate::quadrature
• numerical::interpolate::b_spline
• numerical::interpolate::bezier_curve
• numerical::interpolate::cubic_spline_interpolation
• numerical::interpolate::lagrange_interpolation
• numerical::multi_valued::newton_method_complex
• numerical::number_theory::gcd
• numerical::number_theory::is_prime_miller_rabin
• numerical::number_theory::mod_inverse
• numerical::number_theory::mod_pow
• numerical::ode::solve_ode_system_rk4
• numerical::pde::pde_solver
• numerical::physics::simulate_ising_model
• numerical::physics::simulate_particle_motion
• numerical::physics::solve_1d_schrodinger
• numerical::physics::solve_2d_schrodinger
• numerical::physics::solve_3d_schrodinger
• numerical::physics::solve_heat_equation_1d_crank_nicolson
• numerical::physics::solve_wave_equation_1d
• numerical::physics_cfd::solve_advection_1d
• numerical::physics_cfd::solve_diffusion_1d
• numerical::physics_cfd::solve_poisson_2d_jacobi
• numerical::physics_fea::assemble_global_stiffness_matrix
• numerical::physics_fea::solve_static_structural
• numerical::physics_md::integrate_velocity_verlet
• numerical::physics_md::lennard_jones_interaction
• numerical::real_roots::isolate_real_roots
• numerical::real_roots::sturm_sequence
• numerical::series::taylor_series_numerical
• numerical::signal::convolve
• numerical::signal::fft
• numerical::solve::solve_linear_system
• numerical::solve::solve_nonlinear_system
• numerical::sparse::csr_from_triplets
• numerical::sparse::rank
• numerical::sparse::solve_conjugate_gradient
• numerical::sparse::sp_mat_vec_mul
• numerical::sparse::to_csr
• numerical::sparse::to_dense
• numerical::special::beta_numerical
• numerical::special::erf_numerical
• numerical::special::erfc_numerical
• numerical::special::gamma_numerical
• numerical::special::ln_beta_numerical
• numerical::special::ln_gamma_numerical
• numerical::stats::correlation
• numerical::stats::covariance
• numerical::stats::kurtosis
• numerical::stats::max
• numerical::stats::mean
• numerical::stats::median
• numerical::stats::min
• numerical::stats::one_way_anova
• numerical::stats::percentile
• numerical::stats::shannon_entropy
• numerical::stats::simple_linear_regression
• numerical::stats::skewness
• numerical::stats::std_dev
• numerical::stats::two_sample_t_test
• numerical::stats::variance
• numerical::tensor::einsum
• numerical::tensor::outer_product
• numerical::tensor::tensordot
• numerical::testing::extract_polynomial_coeffs
• numerical::testing::solve
• numerical::testing::solve_linear_system_numerical
• numerical::testing::solve_linear_system_symbolic
• numerical::testing::solve_nonlinear_system_numerical
• numerical::testing::solve_polynomial
• numerical::testing::solve_system
• numerical::testing::solve_transcendental_numerical
• numerical::topology::find_connected_components
• numerical::topology::vietoris_rips_complex
• numerical::transforms::fft
• numerical::transforms::fft_slice
• numerical::transforms::ifft
• numerical::transforms::ifft_slice
• numerical::vector::angle
• numerical::vector::cross_product
• numerical::vector::distance
• numerical::vector::dot_product
• numerical::vector::norm
• numerical::vector::scalar_mul
• numerical::vector::vec_add
• numerical::vector::vec_sub
• numerical::vector_calculus::curl
• numerical::vector_calculus::divergence
• numerical::vector_calculus::gradient
• output::io::load_npy_as_expr
• output::io::read_npy_file
• output::io::save_expr_as_npy
• output::io::write_npy_file
• output::latex::to_latex
• output::plotting::plot_function_2d
• output::plotting::plot_parametric_curve_3d
• output::plotting::plot_surface_3d
• output::plotting::plot_vector_field_2d
• output::plotting::plot_vector_field_3d
• output::pretty_print::pretty_print
• output::typst::to_typst
• physics::physics_bem::simulate_2d_cylinder_scenario
• physics::physics_bem::solve_laplace_bem_2d
• physics::physics_bem::solve_laplace_bem_3d
• physics::physics_cnm::simulate_1d_heat_conduction_cn_scenario
• physics::physics_cnm::simulate_2d_heat_conduction_cn_adi_scenario
• physics::physics_cnm::solve_heat_equation_1d_cn
• physics::physics_cnm::solve_heat_equation_2d_cn_adi
• physics::physics_em::simulate_gravity_semi_implicit_euler_scenario
• physics::physics_em::simulate_oscillator_forward_euler_scenario
• physics::physics_em::simulate_stiff_decay_scenario
• physics::physics_em::solve_backward_euler_linear
• physics::physics_em::solve_forward_euler
• physics::physics_em::solve_semi_implicit_euler
• physics::physics_fdm::simulate_2d_heat_conduction_scenario
• physics::physics_fdm::solve_heat_equation_2d
• physics::physics_fem::simulate_1d_poisson_scenario
• physics::physics_fem::simulate_2d_poisson_scenario
• physics::physics_fem::simulate_3d_poisson_scenario
• physics::physics_fem::solve_poisson_1d
• physics::physics_fem::solve_poisson_2d
• physics::physics_fem::solve_poisson_3d
• physics::physics_fvm::simulate_1d_advection_scenario
• physics::physics_fvm::simulate_2d_advection_scenario
• physics::physics_fvm::simulate_3d_advection_scenario
• physics::physics_fvm::solve_advection_1d
• physics::physics_fvm::solve_advection_2d
• physics::physics_fvm::solve_advection_3d
• physics::physics_mm::simulate_dam_break_2d_scenario
• physics::physics_mtm::simulate_1d_poisson_multigrid_scenario
• physics::physics_mtm::simulate_2d_poisson_multigrid_scenario
• physics::physics_mtm::solve_poisson_1d_multigrid
• physics::physics_mtm::solve_poisson_2d_multigrid
• physics::physics_rkm::simulate_damped_oscillator_scenario
• physics::physics_rkm::simulate_lorenz_attractor_scenario
• physics::physics_rkm::solve_rk4
• physics::physics_sim::fdtd_electrodynamics::run_fdtd_simulation
• physics::physics_sim::fdtd_electrodynamics::simulate_wave_propagation_scenario
• physics::physics_sim::geodesic_relativity::run_geodesic_simulation
• physics::physics_sim::geodesic_relativity::simulate_black_hole_orbits_scenario
• physics::physics_sim::gpe_superfluidity::run_gpe_ground_state_finder
• physics::physics_sim::gpe_superfluidity::simulate_bose_einstein_vortex_scenario
• physics::physics_sim::ising_statistical::run_ising_simulation
• physics::physics_sim::ising_statistical::simulate_ising_phase_transition_scenario
• physics::physics_sim::linear_elasticity::run_elasticity_simulation
• physics::physics_sim::linear_elasticity::simulate_cantilever_beam_scenario
• physics::physics_sim::navier_stokes_fluid::run_lid_driven_cavity
• physics::physics_sim::navier_stokes_fluid::simulate_lid_driven_cavity_scenario
• physics::physics_sim::schrodinger_quantum::run_schrodinger_simulation
• physics::physics_sim::schrodinger_quantum::simulate_double_slit_scenario
• physics::physics_sm::fft2d
• physics::physics_sm::fft3d
• physics::physics_sm::ifft2d
• physics::physics_sm::ifft3d
• physics::physics_sm::simulate_1d_advection_diffusion_scenario
• physics::physics_sm::simulate_2d_advection_diffusion_scenario
• physics::physics_sm::simulate_3d_advection_diffusion_scenario
• physics::physics_sm::solve_advection_diffusion_1d
• physics::physics_sm::solve_advection_diffusion_2d
• physics::physics_sm::solve_advection_diffusion_3d
• symbolic::cad::cad
• symbolic::calculus::calculate_residue
• symbolic::calculus::check_analytic
• symbolic::calculus::definite_integrate
• symbolic::calculus::differentiate
• symbolic::calculus::evaluate_at_point
• symbolic::calculus::factorial
• symbolic::calculus::find_poles
• symbolic::calculus::improper_integral
• symbolic::calculus::integrate
• symbolic::calculus::is_inside_contour
• symbolic::calculus::limit
• symbolic::calculus::path_integrate
• symbolic::calculus::substitute
• symbolic::calculus_of_variations::euler_lagrange
• symbolic::calculus_of_variations::hamiltons_principle
• symbolic::calculus_of_variations::solve_euler_lagrange
• symbolic::cas_foundations::cylindrical_algebraic_decomposition
• symbolic::cas_foundations::expand
• symbolic::cas_foundations::factorize
• symbolic::cas_foundations::grobner_basis
• symbolic::cas_foundations::normalize
• symbolic::cas_foundations::risch_integrate
• symbolic::classical_mechanics::euler_lagrange_equation
• symbolic::classical_mechanics::hamiltonian
• symbolic::classical_mechanics::kinetic_energy
• symbolic::classical_mechanics::lagrangian
• symbolic::classical_mechanics::momentum
• symbolic::classical_mechanics::newtons_second_law
• symbolic::classical_mechanics::poisson_bracket
• symbolic::combinatorics::apply_inclusion_exclusion
• symbolic::combinatorics::combinations
• symbolic::combinatorics::expand_binomial
• symbolic::combinatorics::find_period
• symbolic::combinatorics::get_sequence_from_gf
• symbolic::combinatorics::permutations
• symbolic::combinatorics::solve_recurrence
• symbolic::computer_graphics::look_at
• symbolic::computer_graphics::orthographic_projection
• symbolic::computer_graphics::perspective_projection
• symbolic::computer_graphics::rotation_2d
• symbolic::computer_graphics::rotation_3d_x
• symbolic::computer_graphics::rotation_3d_y
• symbolic::computer_graphics::rotation_3d_z
• symbolic::computer_graphics::scaling_2d
• symbolic::computer_graphics::scaling_3d
• symbolic::computer_graphics::translation_2d
• symbolic::computer_graphics::translation_3d
• symbolic::convergence::analyze_convergence
• symbolic::coordinates::get_metric_tensor
• symbolic::coordinates::get_to_cartesian_rules
• symbolic::coordinates::get_transform_rules
• symbolic::coordinates::symbolic_mat_mat_mul
• symbolic::coordinates::transform_contravariant_vector
• symbolic::coordinates::transform_covariant_vector
• symbolic::coordinates::transform_curl
• symbolic::coordinates::transform_divergence
• symbolic::coordinates::transform_expression
• symbolic::coordinates::transform_gradient
• symbolic::coordinates::transform_point
• symbolic::coordinates::transform_tensor2
• symbolic::cryptography::generate_keypair
• symbolic::cryptography::generate_shared_secret
• symbolic::differential_geometry::boundary
• symbolic::differential_geometry::exterior_derivative
• symbolic::differential_geometry::gauss_theorem
• symbolic::differential_geometry::generalized_stokes_theorem
• symbolic::differential_geometry::greens_theorem
• symbolic::differential_geometry::stokes_theorem
• symbolic::differential_geometry::wedge_product
• symbolic::discrete_groups::cyclic_group
• symbolic::discrete_groups::dihedral_group
• symbolic::discrete_groups::symmetric_group
• symbolic::electromagnetism::electric_field_from_potential
• symbolic::electromagnetism::magnetic_field_from_vector_potential
• symbolic::elementary::acosh
• symbolic::elementary::acot
• symbolic::elementary::acoth
• symbolic::elementary::acsc
• symbolic::elementary::acsch
• symbolic::elementary::asec
• symbolic::elementary::asech
• symbolic::elementary::asinh
• symbolic::elementary::atan2
• symbolic::elementary::atanh
• symbolic::elementary::cos
• symbolic::elementary::cosh
• symbolic::elementary::cot
• symbolic::elementary::coth
• symbolic::elementary::csc
• symbolic::elementary::csch
• symbolic::elementary::e
• symbolic::elementary::exp
• symbolic::elementary::expand
• symbolic::elementary::infinity
• symbolic::elementary::ln
• symbolic::elementary::log_base
• symbolic::elementary::negative_infinity
• symbolic::elementary::pi
• symbolic::elementary::pow
• symbolic::elementary::sec
• symbolic::elementary::sech
• symbolic::elementary::sin
• symbolic::elementary::sinh
• symbolic::elementary::sqrt
• symbolic::elementary::tan
• symbolic::elementary::tanh
• symbolic::error_correction::hamming_decode
• symbolic::error_correction::hamming_encode
• symbolic::error_correction::rs_decode
• symbolic::error_correction::rs_encode
• symbolic::error_correction_helper::gf256_add
• symbolic::error_correction_helper::gf256_div
• symbolic::error_correction_helper::gf256_exp
• symbolic::error_correction_helper::gf256_inv
• symbolic::error_correction_helper::gf256_mul
• symbolic::error_correction_helper::poly_add_gf
• symbolic::error_correction_helper::poly_add_gf256
• symbolic::error_correction_helper::poly_div_gf
• symbolic::error_correction_helper::poly_div_gf256
• symbolic::error_correction_helper::poly_eval_gf256
• symbolic::error_correction_helper::poly_mul_gf
• symbolic::error_correction_helper::poly_mul_gf256
• symbolic::fractal_geometry_and_chaos::fractal_dimension
• symbolic::fractal_geometry_and_chaos::lyapunov_exponent
• symbolic::functional_analysis::are_orthogonal
• symbolic::functional_analysis::banach_norm
• symbolic::functional_analysis::inner_product
• symbolic::functional_analysis::norm
• symbolic::functional_analysis::project
• symbolic::graph_algorithms::algebraic_connectivity
• symbolic::graph_algorithms::bellman_ford
• symbolic::graph_algorithms::bfs
• symbolic::graph_algorithms::bipartite_maximum_matching
• symbolic::graph_algorithms::bipartite_minimum_vertex_cover
• symbolic::graph_algorithms::blossom_algorithm
• symbolic::graph_algorithms::connected_components
• symbolic::graph_algorithms::dfs
• symbolic::graph_algorithms::dijkstra
• symbolic::graph_algorithms::dinic_max_flow
• symbolic::graph_algorithms::edmonds_karp_max_flow
• symbolic::graph_algorithms::find_bridges_and_articulation_points
• symbolic::graph_algorithms::floyd_warshall
• symbolic::graph_algorithms::has_cycle
• symbolic::graph_algorithms::hopcroft_karp_bipartite_matching
• symbolic::graph_algorithms::is_bipartite
• symbolic::graph_algorithms::is_connected
• symbolic::graph_algorithms::kruskal_mst
• symbolic::graph_algorithms::min_cost_max_flow
• symbolic::graph_algorithms::prim_mst
• symbolic::graph_algorithms::shortest_path_unweighted
• symbolic::graph_algorithms::spectral_analysis
• symbolic::graph_algorithms::strongly_connected_components
• symbolic::graph_algorithms::topological_sort_dfs
• symbolic::graph_algorithms::topological_sort_kahn
• symbolic::graph_isomorphism_and_coloring::are_isomorphic_heuristic
• symbolic::graph_isomorphism_and_coloring::chromatic_number_exact
• symbolic::graph_isomorphism_and_coloring::greedy_coloring
• symbolic::graph_operations::cartesian_product
• symbolic::graph_operations::induced_subgraph
• symbolic::graph_operations::intersection
• symbolic::graph_operations::tensor_product
• symbolic::graph_operations::union
• symbolic::grobner::buchberger
• symbolic::grobner::poly_division_multivariate
• symbolic::grobner::subtract_poly
• symbolic::group_theory::character
• symbolic::integral_equations::solve_airfoil_equation
• symbolic::integration::hermite_integrate_rational
• symbolic::integration::integrate_poly_exp
• symbolic::integration::integrate_rational_function
• symbolic::integration::partial_fraction_integrate
• symbolic::integration::poly_derivative_symbolic
• symbolic::integration::poly_from_coeffs
• symbolic::integration::risch_norman_integrate
• symbolic::lie_groups_and_algebras::adjoint_representation_algebra
• symbolic::lie_groups_and_algebras::adjoint_representation_group
• symbolic::lie_groups_and_algebras::exponential_map
• symbolic::lie_groups_and_algebras::lie_bracket
• symbolic::lie_groups_and_algebras::so3
• symbolic::lie_groups_and_algebras::so3_generators
• symbolic::lie_groups_and_algebras::su2
• symbolic::lie_groups_and_algebras::su2_generators
• symbolic::logic::is_satisfiable
• symbolic::logic::simplify_logic
• symbolic::logic::to_cnf
• symbolic::logic::to_dnf
• symbolic::matrix::add_matrices
• symbolic::matrix::characteristic_polynomial
• symbolic::matrix::create_empty_matrix
• symbolic::matrix::determinant
• symbolic::matrix::eigen_decomposition
• symbolic::matrix::get_matrix_dims
• symbolic::matrix::identity_matrix
• symbolic::matrix::inverse_matrix
• symbolic::matrix::lu_decomposition
• symbolic::matrix::mul_matrices
• symbolic::matrix::null_space
• symbolic::matrix::qr_decomposition
• symbolic::matrix::rref
• symbolic::matrix::scalar_mul_matrix
• symbolic::matrix::solve_linear_system
• symbolic::matrix::sub_matrices
• symbolic::matrix::svd_decomposition
• symbolic::matrix::trace
• symbolic::matrix::transpose_matrix
• symbolic::multi_valued::general_arccos
• symbolic::multi_valued::general_arcsin
• symbolic::multi_valued::general_arctan
• symbolic::multi_valued::general_log
• symbolic::multi_valued::general_power
• symbolic::number_theory::chinese_remainder
• symbolic::number_theory::expr_to_sparse_poly
• symbolic::number_theory::extended_gcd
• symbolic::number_theory::extended_gcd_inner
• symbolic::number_theory::get_convergent
• symbolic::number_theory::is_neg_one
• symbolic::number_theory::is_prime
• symbolic::number_theory::is_two
• symbolic::number_theory::solve_diophantine
• symbolic::number_theory::solve_pell_from_poly
• symbolic::number_theory::sqrt_continued_fraction
• symbolic::numeric::evaluate_numerical
• symbolic::ode::solve_bernoulli_ode
• symbolic::ode::solve_by_reduction_of_order
• symbolic::ode::solve_cauchy_euler_ode
• symbolic::ode::solve_exact_ode
• symbolic::ode::solve_ode
• symbolic::ode::solve_ode_by_fourier
• symbolic::ode::solve_ode_by_series
• symbolic::ode::solve_ode_system
• symbolic::ode::solve_riccati_ode
• symbolic::optimize::find_constrained_extrema
• symbolic::optimize::find_extrema
• symbolic::optimize::hessian_matrix
• symbolic::pde::solve_burgers_equation
• symbolic::pde::solve_pde
• symbolic::pde::solve_pde_by_characteristics
• symbolic::pde::solve_pde_by_greens_function
• symbolic::pde::solve_pde_by_separation_of_variables
• symbolic::pde::solve_second_order_pde
• symbolic::pde::solve_wave_equation_1d_dalembert
• symbolic::pde::solve_with_fourier_transform
• symbolic::poly_factorization::berlekamp_factorization
• symbolic::poly_factorization::berlekamp_zassenhaus
• symbolic::poly_factorization::cantor_zassenhaus
• symbolic::poly_factorization::distinct_degree_factorization
• symbolic::poly_factorization::factor_gf
• symbolic::poly_factorization::poly_derivative_gf
• symbolic::poly_factorization::poly_gcd_gf
• symbolic::poly_factorization::poly_mul_scalar
• symbolic::poly_factorization::square_free_factorization_gf
• symbolic::polynomial::add_poly
• symbolic::polynomial::contains_var
• symbolic::polynomial::differentiate_poly
• symbolic::polynomial::expr_to_sparse_poly
• symbolic::polynomial::from_coeffs_to_expr
• symbolic::polynomial::gcd
• symbolic::polynomial::is_polynomial
• symbolic::polynomial::leading_coefficient
• symbolic::polynomial::mul_poly
• symbolic::polynomial::poly_from_coeffs
• symbolic::polynomial::poly_mul_scalar_expr
• symbolic::polynomial::polynomial_degree
• symbolic::polynomial::polynomial_long_division
• symbolic::polynomial::polynomial_long_division_coeffs
• symbolic::polynomial::sparse_poly_to_expr
• symbolic::polynomial::to_polynomial_coeffs_vec
• symbolic::proof::verify_definite_integral
• symbolic::proof::verify_derivative
• symbolic::proof::verify_equation_solution
• symbolic::proof::verify_indefinite_integral
• symbolic::proof::verify_matrix_inverse
• symbolic::proof::verify_ode_solution
• symbolic::quantum_field_theory::propagator
• symbolic::quantum_field_theory::qcd_lagrangian
• symbolic::quantum_field_theory::qed_lagrangian
• symbolic::quantum_field_theory::scattering_cross_section
• symbolic::quantum_mechanics::bra_ket
• symbolic::quantum_mechanics::first_order_energy_correction
• symbolic::quantum_mechanics::scattering_amplitude
• symbolic::quantum_mechanics::solve_time_independent_schrodinger
• symbolic::quantum_mechanics::time_dependent_schrodinger_equation
• symbolic::radicals::denest_sqrt
• symbolic::real_roots::count_real_roots_in_interval
• symbolic::real_roots::eval_expr
• symbolic::real_roots::isolate_real_roots
• symbolic::real_roots::sturm_sequence
• symbolic::relativity::einstein_field_equations
• symbolic::relativity::geodesic_equation
• symbolic::relativity::lorentz_factor
• symbolic::relativity::lorentz_transformation
• symbolic::relativity::mass_energy_equivalence
• symbolic::rewriting::apply_rules_to_normal_form
• symbolic::rewriting::knuth_bendix
• symbolic::series::analytic_continuation
• symbolic::series::analyze_convergence
• symbolic::series::asymptotic_expansion
• symbolic::series::calculate_taylor_coefficients
• symbolic::series::fourier_series
• symbolic::series::laurent_series
• symbolic::series::product
• symbolic::series::summation
• symbolic::series::taylor_series
• symbolic::simplify::as_f64
• symbolic::simplify::collect_and_order_terms
• symbolic::simplify::get_name
• symbolic::simplify::heuristic_simplify
• symbolic::simplify::is_one
• symbolic::simplify::is_zero
• symbolic::simplify::pattern_match
• symbolic::simplify::simplify
• symbolic::simplify::substitute_patterns
• symbolic::solid_state_physics::bloch_theorem
• symbolic::solid_state_physics::energy_band
• symbolic::solve::extract_polynomial_coeffs
• symbolic::solve::solve
• symbolic::solve::solve_linear_system
• symbolic::solve::solve_linear_system_gauss
• symbolic::solve::solve_linear_system_mat
• symbolic::solve::solve_system
• symbolic::solve::solve_system_parcial
• symbolic::special::beta_numerical
• symbolic::special::erf_numerical
• symbolic::special::erfc_numerical
• symbolic::special::gamma_numerical
• symbolic::special::ln_beta_numerical
• symbolic::special::ln_gamma_numerical
• symbolic::special_functions::bessel_differential_equation
• symbolic::special_functions::bessel_j
• symbolic::special_functions::bessel_y
• symbolic::special_functions::beta
• symbolic::special_functions::digamma
• symbolic::special_functions::erf
• symbolic::special_functions::erfc
• symbolic::special_functions::erfi
• symbolic::special_functions::gamma
• symbolic::special_functions::hermite_differential_equation
• symbolic::special_functions::hermite_h
• symbolic::special_functions::hermite_rodrigues_formula
• symbolic::special_functions::laguerre_differential_equation
• symbolic::special_functions::laguerre_l
• symbolic::special_functions::legendre_differential_equation
• symbolic::special_functions::legendre_p
• symbolic::special_functions::legendre_rodrigues_formula
• symbolic::special_functions::zeta
• symbolic::stats::correlation
• symbolic::stats::covariance
• symbolic::stats::mean
• symbolic::stats::std_dev
• symbolic::stats::variance
• symbolic::stats_inference::two_sample_t_test_symbolic
• symbolic::stats_information_theory::conditional_entropy
• symbolic::stats_information_theory::cross_entropy
• symbolic::stats_information_theory::gini_impurity
• symbolic::stats_information_theory::joint_entropy
• symbolic::stats_information_theory::kl_divergence
• symbolic::stats_information_theory::mutual_information
• symbolic::stats_information_theory::shannon_entropy
• symbolic::stats_regression::nonlinear_regression_symbolic
• symbolic::stats_regression::polynomial_regression_symbolic
• symbolic::stats_regression::simple_linear_regression_symbolic
• symbolic::tensor::christoffel_symbols_first_kind
• symbolic::tensor::christoffel_symbols_second_kind
• symbolic::tensor::covariant_derivative_vector
• symbolic::tensor::riemann_curvature_tensor
• symbolic::thermodynamics::boltzmann_distribution
• symbolic::thermodynamics::bose_einstein_distribution
• symbolic::thermodynamics::fermi_dirac_distribution
• symbolic::thermodynamics::first_law_thermodynamics
• symbolic::thermodynamics::gibbs_free_energy
• symbolic::thermodynamics::helmholtz_free_energy
• symbolic::thermodynamics::partition_function
• symbolic::topology::create_grid_complex
• symbolic::topology::create_torus_complex
• symbolic::topology::vietoris_rips_filtration
• symbolic::transforms::convolution_fourier
• symbolic::transforms::convolution_laplace
• symbolic::transforms::fourier_differentiation
• symbolic::transforms::fourier_frequency_shift
• symbolic::transforms::fourier_scaling
• symbolic::transforms::fourier_time_shift
• symbolic::transforms::fourier_transform
• symbolic::transforms::inverse_fourier_transform
• symbolic::transforms::inverse_laplace_transform
• symbolic::transforms::inverse_z_transform
• symbolic::transforms::laplace_differentiation
• symbolic::transforms::laplace_time_shift
• symbolic::transforms::laplace_transform
• symbolic::transforms::z_transform
• symbolic::unit_unification::unify_expression
• symbolic::vector::curl
• symbolic::vector::directional_derivative
• symbolic::vector::divergence
• symbolic::vector::gradient
• symbolic::vector::partial_derivative_vector
• symbolic::vector_calculus::line_integral_scalar
• symbolic::vector_calculus::line_integral_vector
• symbolic::vector_calculus::surface_integral
• symbolic::vector_calculus::volume_integral

Type Aliases

• numerical::sparse::Array
• numerical::topology::Simplex
• physics::physics_sim::linear_elasticity::Elements
• physics::physics_sim::linear_elasticity::Nodes
• prelude::CsMat
• symbolic::topology::Cochain