Index

_

__contains__() (mechanics_dsl.utils.LRUCache method) __getitem__() (mechanics_dsl.utils.LRUCache method) __init__() (mechanics_dsl.codegen.CppGenerator method) (mechanics_dsl.core.MechanicsParser method) (mechanics_dsl.core.NumericalSimulator method) (mechanics_dsl.utils.LRUCache method) (mechanics_dsl.visualization.Animator method)

__setitem__() (mechanics_dsl.utils.LRUCache method)

A

action_angle_averaging() (AveragingMethod method) action_integral() (mechanics_dsl.domains.quantum.WKBApproximation method) ActionAngleVariables (built-in class) add_constraint() (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) (NonholonomicSystem method) add_coordinate() (mechanics_dsl.domains.PhysicsDomain method) add_holonomic_constraint() (mechanics_dsl.domains.classical.ConstraintHandler method) add_knife_edge_constraint() (NonholonomicSystem method) add_nonholonomic_constraint() (mechanics_dsl.domains.classical.ConstraintHandler method) add_particle() (mechanics_dsl.domains.fluids.SPHFluid method) add_rolling_constraint() (NonholonomicSystem method) add_wall() (mechanics_dsl.domains.fluids.BoundaryConditions method) AdvancedErrorHandler (class in mechanics_dsl.utils) allow() (mechanics_dsl.utils.RateLimiter method) allow_or_raise() (mechanics_dsl.utils.RateLimiter method) allow_simulation() (mechanics_dsl.utils.SimulationRateLimiter method) analyze() (NormalModeAnalyzer method) analyze_equilibrium() (StabilityAnalyzer method) analyze_semantics() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) analyze_stability() (mechanics_dsl.analysis.StabilityAnalyzer method) (mechanics_dsl.StabilityAnalyzer method) (StabilityAnalyzer method) angular_momentum() (RigidBodyDynamics method)

animate() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) (mechanics_dsl.visualization.Animator method) (mechanics_dsl.visualization.MechanicsVisualizer method) animate_fluid_from_csv() (mechanics_dsl.visualization.MechanicsVisualizer method) animate_oscillator() (mechanics_dsl.visualization.MechanicsVisualizer method) animate_particles() (mechanics_dsl.visualization.Animator method), [1] animate_pendulum() (mechanics_dsl.visualization.Animator method), [1] (mechanics_dsl.visualization.MechanicsVisualizer method) AnimateDef (class in mechanics_dsl.parser) animation_fps (mechanics_dsl.utils.Config property) Animator (class in mechanics_dsl.visualization) AppellEquations (built-in class) apply_generating_function() (CanonicalTransformation method) args (mechanics_dsl.parser.DefineDef attribute), [1] (mechanics_dsl.parser.FunctionCallExpr attribute), [1] as_matrix_form() (NonholonomicConstraint method) ast_to_sympy() (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) ASTNode (class in mechanics_dsl.parser) at_end_of_expression() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) augment_lagrangian() (mechanics_dsl.domains.classical.ConstraintHandler method) average_over_fast_angle() (PerturbationExpander method) average_system() (AveragingMethod method) AveragingMethod (built-in class)

B

BinaryOpExpr (class in mechanics_dsl.parser) body (mechanics_dsl.parser.DefineDef attribute), [1] bohr_sommerfeld_condition() (mechanics_dsl.domains.quantum.WKBApproximation method) bohr_sommerfeld_levels() (mechanics_dsl.domains.quantum.WKBApproximation method) boost_matrix() (mechanics_dsl.domains.relativistic.LorentzTransform static method) boost_x() (mechanics_dsl.domains.relativistic.LorentzTransform static method) BoundaryDef (class in mechanics_dsl.parser) built-in function compute_normal_modes() elastic_collision_1d() extract_mass_matrix() extract_stiffness_matrix() inelastic_collision_1d() knife_edge_constraint() mechanics_dsl.io.deserialize_solution(), [1] mechanics_dsl.io.serialize_solution(), [1] mechanics_dsl.utils.profile_function() mechanics_dsl.utils.safe_float_conversion() mechanics_dsl.utils.setup_logging() mechanics_dsl.utils.validate_array_safe() mechanics_dsl.utils.validate_file_path() mechanics_dsl.utils.validate_finite() mechanics_dsl.utils.validate_non_negative() mechanics_dsl.utils.validate_positive() mechanics_dsl.utils.validate_solution_dict() mechanics_dsl.utils.validate_time_span() perfectly_inelastic_1d() required_mass_ratio() rolling_constraint() rutherford_angle() rutherford_cross_section() specific_impulse_to_exhaust_velocity() string_mode_frequencies() tsiolkovsky_delta_v() wave_speed()

burn_time() (RocketEquation method)

C

cache_max_memory_mb (mechanics_dsl.utils.Config property) cache_max_size (mechanics_dsl.utils.Config property) cache_symbolic_results (mechanics_dsl.utils.Config property) calculate_cost() (mechanics_dsl.utils.SimulationRateLimiter method) CanonicalTransformation (built-in class) capacity (mechanics_dsl.utils.TokenBucket attribute) center_of_mass_frame() (CollisionSolver method) CentralForceAnalyzer (built-in class) characteristic_length() (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) ChargedParticle (class in mechanics_dsl.domains.electromagnetic) check_conservation() (mechanics_dsl.analysis.EnergyAnalyzer method) (mechanics_dsl.EnergyAnalyzer method) classical_amplitude() (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) classical_force() (mechanics_dsl.domains.quantum.EhrenfestDynamics method) classical_momentum() (mechanics_dsl.domains.quantum.WKBApproximation method) classify_orbit() (CentralForceAnalyzer method) classify_variable() (in module mechanics_dsl.utils) cleanup() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) clear() (mechanics_dsl.utils.LRUCache method), [1] clear_cache() (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) closest_approach (ScatteringResult attribute) collision_type (CollisionResult attribute) CollisionResult (built-in class) CollisionSolver (built-in class) column (mechanics_dsl.parser.Token attribute), [1] compile_dsl() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.core.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) compile_equations() (mechanics_dsl.core.NumericalSimulator method) (mechanics_dsl.NumbaSimulator method) (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) compile_hamiltonian_equations() (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) compile_to_cpp() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.core.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) components (mechanics_dsl.parser.VectorExpr attribute), [1] compute() (EffectivePotential method) compute_acceleration_energy() (AppellEquations method) compute_action() (ActionAngleVariables method)

compute_angle_frequency() (ActionAngleVariables method) compute_conjugate_momentum() (NoetherAnalyzer method) compute_density_pressure() (mechanics_dsl.domains.fluids.SPHFluid method) compute_energy() (NoetherAnalyzer method) compute_forces() (mechanics_dsl.domains.fluids.SPHFluid method) compute_jacobian() (mechanics_dsl.analysis.StabilityAnalyzer method) (mechanics_dsl.StabilityAnalyzer method) compute_kinetic_energy() (mechanics_dsl.analysis.EnergyAnalyzer method) (mechanics_dsl.EnergyAnalyzer method) (mechanics_dsl.PotentialEnergyCalculator static method) compute_modes() (CoupledOscillatorSystem method) (VibratingMembrane method) (VibratingString method) compute_modes_numerical() (NormalModeAnalyzer method) compute_normal_modes() built-in function compute_orbital_elements() (KeplerProblem method) compute_pe_offset() (mechanics_dsl.PotentialEnergyCalculator static method) compute_pendulum_energy() (mechanics_dsl.analysis.EnergyAnalyzer method) (mechanics_dsl.EnergyAnalyzer method) compute_period() (KeplerProblem method) compute_potential_energy() (mechanics_dsl.analysis.EnergyAnalyzer method) (mechanics_dsl.EnergyAnalyzer method) (mechanics_dsl.PotentialEnergyCalculator static method) compute_scattering_angle() (ScatteringAnalyzer method) conditions (mechanics_dsl.parser.InitialCondition attribute), [1] Config (class in mechanics_dsl.utils) ConservedQuantity (built-in class) CONSTANT (mechanics_dsl.utils.VariableCategory attribute) constraint_type (mechanics_dsl.parser.ConstraintDef attribute), [1] ConstraintDef (class in mechanics_dsl.parser) constraints (mechanics_dsl.parser.RegionDef attribute), [1] consume() (mechanics_dsl.utils.TokenBucket method) conveyor_belt_force() (VariableMassSystem method) coord_type (mechanics_dsl.parser.TransformDef attribute), [1] coordinate (mechanics_dsl.parser.ForceDef attribute), [1] COORDINATE (mechanics_dsl.utils.VariableCategory attribute) corrections (PerturbationResult attribute) coulomb_scattering() (ScatteringAnalyzer method) CoupledOscillatorSystem (built-in class) current_system (mechanics_dsl.MechanicsParser attribute) (mechanics_dsl.parser.MechanicsParser attribute) cyclotron_frequency() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) CyclotronMotion (class in mechanics_dsl.domains.electromagnetic)

D

damping_coefficient (mechanics_dsl.parser.DampingDef attribute), [1] DampingDef (class in mechanics_dsl.parser) default_atol (mechanics_dsl.utils.Config property) default_rtol (mechanics_dsl.utils.Config property) define_hamiltonian() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) (mechanics_dsl.domains.PhysicsDomain method) (mechanics_dsl.domains.relativistic.RelativisticParticle method) define_lagrangian() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) (mechanics_dsl.domains.PhysicsDomain method) (mechanics_dsl.domains.relativistic.RelativisticParticle method) define_time_scales() (MultiScaleAnalysis method) DefineDef (class in mechanics_dsl.parser) delta_v_with_gravity() (RocketEquation method) denominator (mechanics_dsl.parser.FractionExpr attribute), [1] DerivativeExpr (class in mechanics_dsl.parser) DerivativeVarExpr (class in mechanics_dsl.parser) derive_appell_equations() (AppellEquations method) derive_constrained_equations() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) derive_eom() (VariableMassSystem method) derive_equations() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) derive_equations_of_motion() (DissipativeLagrangianMechanics method) (mechanics_dsl.domains.classical.HamiltonianMechanics method) (mechanics_dsl.domains.classical.LagrangianMechanics method) (mechanics_dsl.domains.electromagnetic.ChargedParticle method) (mechanics_dsl.domains.PhysicsDomain method) (mechanics_dsl.domains.relativistic.RelativisticParticle method) (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) (NonholonomicSystem method)

derive_equations_with_constraints() (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) derive_euler_lagrange() (mechanics_dsl.core.SymbolicEngine method) derive_field_equation() (FieldEulerLagrange method) derive_formula() (mechanics_dsl.domains.kinematics.KinematicsSolver method) derive_hamiltonian_equations() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) derive_hamiltons_equations() (mechanics_dsl.core.SymbolicEngine method) detect_cyclic_coordinates() (NoetherAnalyzer method) detect_stiffness() (mechanics_dsl.core.NumericalSimulator method) DipoleTrap (class in mechanics_dsl.domains.electromagnetic) discrete_equations() (mechanics_dsl.solver.VariationalIntegrator method) discrete_lagrangian() (mechanics_dsl.solver.GalerkinVariational method) (mechanics_dsl.solver.MidpointVariational method) (mechanics_dsl.solver.TrapezoidalVariational method) (mechanics_dsl.solver.VariationalIntegrator method) DissipativeLagrangianMechanics (built-in class) dry_mass (RocketParameters attribute)

E

effective_potential() (SymmetricTop method) EffectivePotential (built-in class) EhrenfestDynamics (class in mechanics_dsl.domains.quantum) eigenvalues (StabilityResult attribute) eigenvectors (StabilityResult attribute) elastic_collision_1d() built-in function enable_adaptive_solver (mechanics_dsl.utils.Config property) enable_debug_logging (mechanics_dsl.utils.Config property) enable_memory_monitoring (mechanics_dsl.utils.Config property) enable_performance_monitoring (mechanics_dsl.utils.Config property) enable_profiling (mechanics_dsl.utils.Config property) energy_level() (mechanics_dsl.domains.quantum.InfiniteSquareWell method) (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) energy_loss (CollisionResult attribute) energy_loss() (SymbolicCollisionSolver method) EnergyAnalyzer (class in mechanics_dsl) enforce_box_boundary() (mechanics_dsl.domains.fluids.BoundaryConditions method) enforce_periodic() (mechanics_dsl.domains.fluids.BoundaryConditions method) eos (mechanics_dsl.parser.FluidDef attribute), [1] equations_of_motion() (mechanics_dsl.domains.quantum.EhrenfestDynamics method) (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) error_recovery_enabled (mechanics_dsl.utils.Config property) errors (mechanics_dsl.MechanicsParser attribute) (mechanics_dsl.parser.MechanicsParser attribute) estimate_lyapunov_exponent() (mechanics_dsl.analysis.StabilityAnalyzer method) (mechanics_dsl.StabilityAnalyzer method) euler_equations_torque_free() (RigidBodyDynamics method) euler_equations_with_torque() (RigidBodyDynamics method) euler_to_rotation_matrix() (RigidBodyDynamics method) evaluate() (FrictionModel method) exact_trajectory() (mechanics_dsl.domains.electromagnetic.CyclotronMotion method)

expand_hamiltonian() (PerturbationExpander method) expect() (mechanics_dsl.MechanicsParser method), [1] (mechanics_dsl.parser.MechanicsParser method), [1] export() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) export_animation() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) export_parameters() (mechanics_dsl.io.JSONExporter static method), [1] export_solution() (mechanics_dsl.io.CSVExporter static method), [1] (mechanics_dsl.io.JSONExporter static method), [1] export_system() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.compiler.SystemSerializer static method) (mechanics_dsl.PhysicsCompiler method) export_table() (mechanics_dsl.io.CSVExporter static method), [1] ExportDef (class in mechanics_dsl.parser) expr (mechanics_dsl.parser.ConstraintDef attribute), [1] (mechanics_dsl.parser.DampingDef attribute), [1] (mechanics_dsl.parser.DerivativeExpr attribute), [1] (mechanics_dsl.parser.ForceDef attribute), [1] (mechanics_dsl.parser.HamiltonianDef attribute), [1] (mechanics_dsl.parser.IntegralExpr attribute), [1] (mechanics_dsl.parser.LagrangianDef attribute), [1] (mechanics_dsl.parser.NonHolonomicConstraintDef attribute), [1] (mechanics_dsl.parser.RayleighDef attribute), [1] (mechanics_dsl.parser.TransformDef attribute), [1] Expression (class in mechanics_dsl.parser) expression (ConservedQuantity attribute) expression_to_string() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) EXTERNAL_FIELD (mechanics_dsl.utils.VariableCategory attribute) extract_mass_matrix() built-in function extract_stiffness_matrix() built-in function

F

falling_chain() (VariableMassSystem method) FieldEulerLagrange (built-in class) filename (mechanics_dsl.parser.ExportDef attribute), [1] (mechanics_dsl.parser.ImportDef attribute), [1] find_all_symmetries() (NoetherAnalyzer method) find_energy_level() (mechanics_dsl.domains.quantum.WKBApproximation method) find_equilibria() (StabilityAnalyzer method) find_fixed_points() (mechanics_dsl.analysis.StabilityAnalyzer method) (mechanics_dsl.StabilityAnalyzer method) find_minimum() (EffectivePotential method) find_turning_points() (CentralForceAnalyzer method) (mechanics_dsl.domains.quantum.WKBApproximation method) FluidDef (class in mechanics_dsl.parser)

force_type (mechanics_dsl.parser.ForceDef attribute), [1] ForceDef (class in mechanics_dsl.parser) format (mechanics_dsl.parser.ExportDef attribute), [1] format_message() (mechanics_dsl.parser.ParserError method) fourier_coefficients() (VibratingString method) FourVector (class in mechanics_dsl.domains.relativistic) FractionExpr (class in mechanics_dsl.parser) frequencies (ModalAnalysisResult attribute) frequency (NormalMode attribute) (WaveMode attribute) FrictionModel (built-in class) from_dict() (mechanics_dsl.utils.Config method) FunctionCallExpr (class in mechanics_dsl.parser) fundamental_frequency() (VibratingString method)

G

GalerkinVariational (class in mechanics_dsl.solver) generate() (mechanics_dsl.codegen.CodeGenerator method) (mechanics_dsl.codegen.CppGenerator method) (mechanics_dsl.compiler.ParticleGenerator static method) generate_boundary_particles() (mechanics_dsl.domains.fluids.BoundaryConditions method) generate_equations() (mechanics_dsl.codegen.CodeGenerator method) generate_initial_conditions() (mechanics_dsl.codegen.CodeGenerator method) generate_parameters() (mechanics_dsl.codegen.CodeGenerator method) GeneratingFunction (built-in class) GeneratingFunctionType (built-in class) get() (mechanics_dsl.utils.LRUCache method) get_conserved_quantities() (mechanics_dsl.domains.PhysicsDomain method) (mechanics_dsl.domains.relativistic.RelativisticParticle method) get_constraint_matrix() (NonholonomicSystem method) get_coordinates() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) get_dissipative_force() (RayleighDissipation method) get_function() (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) get_info() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method)

get_memory_usage() (mechanics_dsl.utils.PerformanceMonitor method) get_positions() (mechanics_dsl.domains.fluids.SPHFluid method) get_preset() (in module mechanics_dsl) get_remaining() (mechanics_dsl.utils.RateLimiter method) get_report() (mechanics_dsl.utils.PerformanceMonitor method) get_required_parameters() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) (mechanics_dsl.domains.relativistic.RelativisticParticle method) get_state_variables() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) (mechanics_dsl.domains.PhysicsDomain method) (mechanics_dsl.domains.relativistic.RelativisticParticle method) get_stats() (mechanics_dsl.utils.LRUCache method), [1] (mechanics_dsl.utils.PerformanceMonitor method) get_symbol() (mechanics_dsl.domains.classical.LagrangianMechanics method) (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) get_symplectic_integrator() (in module mechanics_dsl.solver) get_variational_integrator() (in module mechanics_dsl.solver) GreekLetterExpr (class in mechanics_dsl.parser) Gyroscope (built-in class)

H

HamiltonianDef (class in mechanics_dsl.parser) HamiltonJacobi (built-in class)

hard_sphere_scattering() (ScatteringAnalyzer method) has_ffmpeg() (mechanics_dsl.visualization.MechanicsVisualizer method)

I

ideal_delta_v() (RocketEquation method) IdentExpr (class in mechanics_dsl.parser) impact_parameter (ScatteringResult attribute) import_system() (mechanics_dsl.compiler.PhysicsCompiler static method) (mechanics_dsl.compiler.SystemSerializer static method) (mechanics_dsl.PhysicsCompiler static method) ImportDef (class in mechanics_dsl.parser) impulse (CollisionResult attribute) inelastic_collision_1d() built-in function InertiaTensor (built-in class) InfiniteSquareWell (class in mechanics_dsl.domains.quantum) InitialCondition (class in mechanics_dsl.parser) InitialConditionError

IntegralExpr (class in mechanics_dsl.parser) integrate() (mechanics_dsl.solver.SymplecticIntegrator method) (mechanics_dsl.solver.VariationalIntegrator method) IntegrationError invariant() (mechanics_dsl.domains.relativistic.FourVector method) is_constant_type() (in module mechanics_dsl.utils) is_coordinate_type() (in module mechanics_dsl.utils) is_lightlike() (mechanics_dsl.domains.relativistic.FourVector method) is_likely_coordinate() (in module mechanics_dsl.utils) is_numba_available() (in module mechanics_dsl) is_safe_filename() (in module mechanics_dsl.utils) is_spacelike() (mechanics_dsl.domains.relativistic.FourVector method) is_timelike() (mechanics_dsl.domains.relativistic.FourVector method) is_trapped() (mechanics_dsl.domains.electromagnetic.DipoleTrap method)

K

KeplerProblem (built-in class) kinetic_energy (Particle attribute) kinetic_energy() (mechanics_dsl.domains.relativistic.RelativisticParticle method)

klein_gordon_lagrangian() (LagrangianDensity method) knife_edge_constraint() built-in function

L

lagrangian_to_hamiltonian() (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) LagrangianDef (class in mechanics_dsl.parser) LagrangianDensity (built-in class) larmor_radius() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) last_refill (mechanics_dsl.utils.TokenBucket attribute) Leapfrog (class in mechanics_dsl.solver) left (mechanics_dsl.parser.BinaryOpExpr attribute), [1] (mechanics_dsl.parser.VectorOpExpr attribute), [1] length_contraction() (mechanics_dsl.domains.relativistic.LorentzTransform static method) letter (mechanics_dsl.parser.GreekLetterExpr attribute), [1]

lindstedt_poincare() (PerturbationExpander method) line (mechanics_dsl.parser.Token attribute), [1] line_integral (mechanics_dsl.parser.IntegralExpr attribute), [1] linearize() (StabilityAnalyzer method) list_presets() (in module mechanics_dsl) load_json() (mechanics_dsl.io.SystemSerializer static method), [1] load_pickle() (mechanics_dsl.io.SystemSerializer static method), [1] lorentz_factor() (mechanics_dsl.domains.relativistic.RelativisticParticle method) LorentzTransform (class in mechanics_dsl.domains.relativistic) loss_cone_angle() (mechanics_dsl.domains.electromagnetic.DipoleTrap method) lower (mechanics_dsl.parser.IntegralExpr attribute), [1] LRUCache (class in mechanics_dsl.utils)

M

MaggiEquations (built-in class) magnetic_field() (mechanics_dsl.domains.electromagnetic.DipoleTrap method) magnitude() (mechanics_dsl.domains.relativistic.FourVector method) mass (mechanics_dsl.parser.FluidDef attribute), [1] mass_matrix (ModalAnalysisResult attribute) mass_ratio (RocketParameters attribute) match() (mechanics_dsl.MechanicsParser method), [1] (mechanics_dsl.parser.MechanicsParser method), [1] max_errors (mechanics_dsl.MechanicsParser attribute) (mechanics_dsl.parser.MechanicsParser attribute) max_height() (mechanics_dsl.domains.kinematics.ProjectileMotion method) max_parser_errors (mechanics_dsl.utils.Config property) McLachlan4 (class in mechanics_dsl.solver) mechanics_dsl module mechanics_dsl.analysis.EnergyAnalyzer (built-in class) mechanics_dsl.analysis.StabilityAnalyzer (built-in class) mechanics_dsl.codegen.CodeGenerator (built-in class) mechanics_dsl.codegen.CppGenerator (built-in class) mechanics_dsl.codegen.python.PythonGenerator (built-in class) mechanics_dsl.compiler module mechanics_dsl.core.MechanicsParser (built-in class) mechanics_dsl.core.NumericalSimulator (built-in class) mechanics_dsl.core.parser.ParserError mechanics_dsl.core.PhysicsCompiler (built-in class) mechanics_dsl.core.SymbolicEngine (built-in class) mechanics_dsl.domains.classical.ConstraintHandler (built-in class) mechanics_dsl.domains.classical.HamiltonianMechanics (built-in class) mechanics_dsl.domains.classical.LagrangianMechanics (built-in class) mechanics_dsl.domains.classical.RigidBodyDynamics (built-in class) mechanics_dsl.domains.fluids.BoundaryConditions (built-in class) mechanics_dsl.domains.fluids.SPHFluid (built-in class) mechanics_dsl.domains.kinematics.FreeFall (built-in class) mechanics_dsl.domains.kinematics.KinematicsSolver (built-in class) mechanics_dsl.domains.kinematics.ProjectileMotion (built-in class) mechanics_dsl.domains.kinematics.UniformMotion (built-in class) mechanics_dsl.domains.PhysicsDomain (built-in class) mechanics_dsl.io.CSVExporter (built-in class), [1] mechanics_dsl.io.deserialize_solution() built-in function, [1] mechanics_dsl.io.JSONExporter (built-in class), [1] mechanics_dsl.io.serialize_solution() built-in function, [1] mechanics_dsl.io.SystemSerializer (built-in class), [1] mechanics_dsl.parser module mechanics_dsl.solver module mechanics_dsl.symbolic module mechanics_dsl.utils module mechanics_dsl.utils.Config (built-in class) mechanics_dsl.utils.config (built-in variable) mechanics_dsl.utils.logger (built-in variable) mechanics_dsl.utils.LRUCache (built-in class) mechanics_dsl.utils.PerformanceMonitor (built-in class)

mechanics_dsl.utils.profile_function() built-in function mechanics_dsl.utils.safe_float_conversion() built-in function mechanics_dsl.utils.setup_logging() built-in function mechanics_dsl.utils.timeout (built-in class) mechanics_dsl.utils.validate_array_safe() built-in function mechanics_dsl.utils.validate_file_path() built-in function mechanics_dsl.utils.validate_finite() built-in function mechanics_dsl.utils.validate_non_negative() built-in function mechanics_dsl.utils.validate_positive() built-in function mechanics_dsl.utils.validate_solution_dict() built-in function mechanics_dsl.utils.validate_time_span() built-in function mechanics_dsl.visualization module mechanics_dsl.visualization.Animator (built-in class) mechanics_dsl.visualization.MechanicsVisualizer (built-in class) mechanics_dsl.visualization.PhaseSpaceVisualizer (built-in class) mechanics_dsl.visualization.Plotter (built-in class) MechanicsDSLError MechanicsParser (class in mechanics_dsl) (class in mechanics_dsl.parser) MechanicsVisualizer (class in mechanics_dsl.visualization) membrane_lagrangian() (LagrangianDensity method) memory_stats() (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) message (mechanics_dsl.parser.ParserError attribute) method (mechanics_dsl.parser.SolveDef attribute), [1] MidpointVariational (class in mechanics_dsl.solver) mirror_ratio() (mechanics_dsl.domains.electromagnetic.DipoleTrap method) modal_decomposition() (NormalModeAnalyzer method) ModalAnalysisResult (built-in class) mode_frequency() (VibratingMembrane method) (VibratingString method) mode_number (WaveMode attribute) mode_shape() (VibratingMembrane method) (VibratingString method) mode_shapes (ModalAnalysisResult attribute) module mechanics_dsl mechanics_dsl.compiler mechanics_dsl.parser mechanics_dsl.solver mechanics_dsl.symbolic mechanics_dsl.utils mechanics_dsl.visualization momentum (Particle attribute) momentum_variance() (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) MultiScaleAnalysis (built-in class) multistage_rocket() (SymbolicVariableMass method)

N

name (ConservedQuantity attribute) (mechanics_dsl.parser.BoundaryDef attribute), [1] (mechanics_dsl.parser.DefineDef attribute), [1] (mechanics_dsl.parser.FluidDef attribute), [1] (mechanics_dsl.parser.FunctionCallExpr attribute), [1] (mechanics_dsl.parser.IdentExpr attribute), [1] (mechanics_dsl.parser.ParameterDef attribute), [1] (mechanics_dsl.parser.SystemDef attribute), [1] (mechanics_dsl.parser.VarDef attribute), [1] (mechanics_dsl.solver.GalerkinVariational property) (mechanics_dsl.solver.Leapfrog property) (mechanics_dsl.solver.McLachlan4 property) (mechanics_dsl.solver.MidpointVariational property) (mechanics_dsl.solver.Ruth3 property) (mechanics_dsl.solver.StormerVerlet property) (mechanics_dsl.solver.SymplecticIntegrator property) (mechanics_dsl.solver.TrapezoidalVariational property) (mechanics_dsl.solver.VariationalIntegrator property) (mechanics_dsl.solver.Yoshida4 property)

NoCoordinatesError NoetherAnalyzer (built-in class) NoLagrangianError NonholonomicConstraint (built-in class) NonHolonomicConstraintDef (class in mechanics_dsl.parser) NonholonomicSystem (built-in class) NormalMode (built-in class) NormalModeAnalyzer (built-in class) NumbaSimulator (class in mechanics_dsl) NumberExpr (class in mechanics_dsl.parser) numerator (mechanics_dsl.parser.FractionExpr attribute), [1] NumericalSimulator (class in mechanics_dsl) (class in mechanics_dsl.solver) nutation_frequency() (Gyroscope method)

O

operand (mechanics_dsl.parser.UnaryOpExpr attribute), [1] operation (mechanics_dsl.parser.VectorOpExpr attribute), [1] operator (mechanics_dsl.parser.BinaryOpExpr attribute), [1] (mechanics_dsl.parser.UnaryOpExpr attribute), [1] options (mechanics_dsl.parser.AnimateDef attribute), [1] (mechanics_dsl.parser.SolveDef attribute), [1] orbit_equation() (SymbolicScattering method) OrbitType (built-in class) order (mechanics_dsl.parser.DerivativeExpr attribute), [1] (mechanics_dsl.parser.DerivativeVarExpr attribute), [1] (mechanics_dsl.solver.GalerkinVariational property) (mechanics_dsl.solver.Leapfrog property) (mechanics_dsl.solver.McLachlan4 property) (mechanics_dsl.solver.MidpointVariational property) (mechanics_dsl.solver.Ruth3 property) (mechanics_dsl.solver.StormerVerlet property) (mechanics_dsl.solver.SymplecticIntegrator property) (mechanics_dsl.solver.TrapezoidalVariational property) (mechanics_dsl.solver.VariationalIntegrator property) (mechanics_dsl.solver.Yoshida4 property) (PerturbationResult attribute)

P

PARAMETER (mechanics_dsl.utils.VariableCategory attribute) ParameterDef (class in mechanics_dsl.parser) ParameterError parse() (mechanics_dsl.core.MechanicsParser method) (mechanics_dsl.MechanicsParser method), [1] (mechanics_dsl.parser.MechanicsParser method), [1] parse_additive() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_animate() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_boundary() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_command() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_constraint() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_damping() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_define() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_defvar() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_export() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_expression() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_fluid() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_force() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_hamiltonian() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_import() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_initial() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_lagrangian() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_multiplicative() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_nonholonomic() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_parameter() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_postfix() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_power() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_primary() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_rayleigh() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_region() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_solve() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_statement() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_system() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method)

parse_transform() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) parse_unary() (mechanics_dsl.MechanicsParser method) (mechanics_dsl.parser.MechanicsParser method) ParseError ParserError partial (mechanics_dsl.parser.DerivativeExpr attribute), [1] participation_factor (NormalMode attribute) Particle (built-in class) ParticleGenerator (class in mechanics_dsl.compiler) PathValidationError peek() (mechanics_dsl.MechanicsParser method), [1] (mechanics_dsl.parser.MechanicsParser method), [1] perfectly_inelastic_1d() built-in function PerformanceMonitor (class in mechanics_dsl.utils) PerturbationExpander (built-in class) PerturbationResult (built-in class) PhaseSpaceVisualizer (class in mechanics_dsl.visualization) PhysicsCompiler (class in mechanics_dsl) (class in mechanics_dsl.compiler) plot_energy() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.core.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) (mechanics_dsl.visualization.MechanicsVisualizer method) (mechanics_dsl.visualization.Plotter method), [1] plot_phase_portrait() (mechanics_dsl.visualization.PhaseSpaceVisualizer method), [1] plot_phase_portrait_3d() (mechanics_dsl.visualization.PhaseSpaceVisualizer method), [1] plot_phase_space() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) (mechanics_dsl.visualization.MechanicsVisualizer method) plot_poincare_section() (mechanics_dsl.visualization.PhaseSpaceVisualizer method), [1] plot_time_series() (mechanics_dsl.visualization.Plotter method), [1] plot_trajectory_2d() (mechanics_dsl.visualization.Plotter method), [1] Plotter (class in mechanics_dsl.visualization) poisson_bracket() (CanonicalTransformation method) pos (mechanics_dsl.MechanicsParser attribute) (mechanics_dsl.parser.MechanicsParser attribute) position (mechanics_dsl.parser.Token attribute), [1] position_at() (mechanics_dsl.domains.kinematics.ProjectileMotion method) (mechanics_dsl.domains.kinematics.UniformMotion method) position_at_time() (KeplerProblem method) position_expectation() (mechanics_dsl.domains.quantum.InfiniteSquareWell method) (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) position_variance() (mechanics_dsl.domains.quantum.InfiniteSquareWell method) (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) PotentialEnergyCalculator (class in mechanics_dsl) precession_rate() (Gyroscope method) principal_axes() (InertiaTensor method) print_equations() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) probability_density() (mechanics_dsl.domains.quantum.InfiniteSquareWell method) (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) process_fluids() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) profile_function() (in module mechanics_dsl.utils) project_equations() (MaggiEquations method) propagate() (mechanics_dsl.domains.quantum.EhrenfestDynamics method)

Q

QuantumHarmonicOscillator (class in mechanics_dsl.domains.quantum)

quaternion_derivative() (RigidBodyDynamics method) quaternion_to_rotation_matrix() (RigidBodyDynamics method)

R

range() (mechanics_dsl.domains.kinematics.ProjectileMotion method) RateLimiter (class in mechanics_dsl.utils) RateLimitExceeded RayleighDef (class in mechanics_dsl.parser) RayleighDissipation (built-in class) reduced_mass() (CollisionSolver method) refill_rate (mechanics_dsl.utils.TokenBucket attribute) region (mechanics_dsl.parser.BoundaryDef attribute), [1] (mechanics_dsl.parser.FluidDef attribute), [1] RegionDef (class in mechanics_dsl.parser) relativistic_energy() (mechanics_dsl.domains.relativistic.RelativisticParticle method) relativistic_momentum() (mechanics_dsl.domains.relativistic.RelativisticParticle method) RelativisticParticle (class in mechanics_dsl.domains.relativistic) remove_secular_terms() (MultiScaleAnalysis method) required_mass_ratio() built-in function reset() (mechanics_dsl.utils.PerformanceMonitor method), [1] (mechanics_dsl.utils.RateLimiter method) reset_all() (mechanics_dsl.utils.RateLimiter method)

resource_manager() (in module mechanics_dsl.utils) rest_energy() (mechanics_dsl.domains.relativistic.RelativisticParticle method) retry_on_failure() (mechanics_dsl.utils.AdvancedErrorHandler static method) right (mechanics_dsl.parser.BinaryOpExpr attribute), [1] (mechanics_dsl.parser.VectorOpExpr attribute), [1] RigidBodyDynamics (built-in class) rocket_equation_symbolic() (SymbolicVariableMass method) RocketEquation (built-in class) RocketParameters (built-in class) rolling_constraint() built-in function rotational_kinetic_energy() (RigidBodyDynamics method) runtime_type_check() (in module mechanics_dsl.utils) Ruth3 (class in mechanics_dsl.solver) rutherford_angle() built-in function rutherford_cross_section() built-in function rutherford_differential_cross_section() (ScatteringAnalyzer method) rutherford_formula() (SymbolicScattering method)

S

safe_array_access() (in module mechanics_dsl.utils) safe_execute() (mechanics_dsl.utils.AdvancedErrorHandler static method) safe_float_conversion() (in module mechanics_dsl.utils) safe_open() (in module mechanics_dsl.utils) safe_path_join() (in module mechanics_dsl.utils) save() (mechanics_dsl.visualization.Animator method), [1] save_animation_to_file() (mechanics_dsl.visualization.MechanicsVisualizer method) save_figure() (mechanics_dsl.visualization.Plotter method) (mechanics_dsl.visualization.Plotter static method) save_intermediate_results (mechanics_dsl.utils.Config property) save_json() (mechanics_dsl.io.SystemSerializer static method), [1] save_pickle() (mechanics_dsl.io.SystemSerializer static method), [1] scattering_angle (ScatteringResult attribute) ScatteringAnalyzer (built-in class) ScatteringResult (built-in class) secure_filename() (in module mechanics_dsl.utils) SemanticError separate_secular_periodic() (PerturbationExpander method) set() (mechanics_dsl.utils.LRUCache method) set_coordinates() (mechanics_dsl.core.SymbolicEngine method) set_dissipation() (DissipativeLagrangianMechanics method) set_dissipation_function() (RayleighDissipation method) set_hamiltonian() (mechanics_dsl.core.SymbolicEngine method) (mechanics_dsl.domains.classical.HamiltonianMechanics method) set_inertia_tensor() (mechanics_dsl.domains.classical.RigidBodyDynamics method) set_initial_condition() (mechanics_dsl.core.PhysicsCompiler method) set_initial_conditions() (mechanics_dsl.core.NumericalSimulator method) (mechanics_dsl.NumbaSimulator method) (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) set_kinetic_energy() (mechanics_dsl.domains.classical.LagrangianMechanics method) set_lagrangian() (mechanics_dsl.core.SymbolicEngine method) (mechanics_dsl.domains.classical.LagrangianMechanics method) (NonholonomicSystem method) set_mass() (CoupledOscillatorSystem method) set_parameter() (mechanics_dsl.core.PhysicsCompiler method) (mechanics_dsl.domains.PhysicsDomain method) set_parameters() (mechanics_dsl.core.NumericalSimulator method) (mechanics_dsl.domains.PhysicsDomain method) (mechanics_dsl.NumbaSimulator method) (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) set_potential() (mechanics_dsl.domains.relativistic.RelativisticParticle method) set_potential_energy() (mechanics_dsl.domains.classical.LagrangianMechanics method) set_potentials() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) set_spring() (CoupledOscillatorSystem method) set_uniform_electric_field() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) set_uniform_magnetic_field() (mechanics_dsl.domains.electromagnetic.ChargedParticle method) setup_3d_plot() (mechanics_dsl.visualization.MechanicsVisualizer method) setup_figure() (mechanics_dsl.visualization.Animator method), [1] setup_logging() (in module mechanics_dsl) (in module mechanics_dsl.utils) setup_simulation() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.PhysicsCompiler method) shape (mechanics_dsl.parser.RegionDef attribute), [1] (NormalMode attribute) show() (mechanics_dsl.visualization.Plotter static method), [1] simplification_timeout (mechanics_dsl.utils.Config property) simulate() (mechanics_dsl.compiler.PhysicsCompiler method) (mechanics_dsl.core.NumericalSimulator method) (mechanics_dsl.core.PhysicsCompiler method) (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.PhysicsCompiler method) (mechanics_dsl.solver.NumericalSimulator method) (RocketEquation method)

simulate_async() (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) simulate_batch_async() (mechanics_dsl.NumericalSimulator method) (mechanics_dsl.solver.NumericalSimulator method) simulate_numba() (mechanics_dsl.NumbaSimulator method) SimulationError SimulationRateLimiter (class in mechanics_dsl.utils) snapshot_memory() (mechanics_dsl.utils.PerformanceMonitor method) solution() (VibratingString method) solve() (CollisionSolver method) (HamiltonJacobi method) (mechanics_dsl.domains.kinematics.KinematicsSolver method) solve_1d() (CollisionSolver method) solve_1d_elastic() (SymbolicCollisionSolver method) solve_1d_inelastic() (SymbolicCollisionSolver method) solve_for_accelerations() (mechanics_dsl.core.SymbolicEngine method) (mechanics_dsl.symbolic.SymbolicEngine method) (mechanics_dsl.SymbolicEngine method) SolveDef (class in mechanics_dsl.parser) specific_impulse() (RocketEquation method) specific_impulse_to_exhaust_velocity() built-in function stability_type (StabilityResult attribute) StabilityAnalyzer (built-in class) (class in mechanics_dsl) StabilityResult (built-in class) StabilityType (built-in class) start_timer() (mechanics_dsl.utils.PerformanceMonitor method), [1] steady_precession_rate() (SymmetricTop method) step() (mechanics_dsl.domains.fluids.SPHFluid method) (mechanics_dsl.solver.Leapfrog method) (mechanics_dsl.solver.McLachlan4 method) (mechanics_dsl.solver.Ruth3 method) (mechanics_dsl.solver.StormerVerlet method) (mechanics_dsl.solver.SymplecticIntegrator method) (mechanics_dsl.solver.VariationalIntegrator method) (mechanics_dsl.solver.Yoshida4 method) stiffness_matrix (ModalAnalysisResult attribute) stop_timer() (mechanics_dsl.utils.PerformanceMonitor method), [1] StormerVerlet (class in mechanics_dsl.solver) string_lagrangian() (LagrangianDensity method) string_mode_frequencies() built-in function SymbolicCollisionSolver (built-in class) SymbolicEngine (class in mechanics_dsl) (class in mechanics_dsl.symbolic) SymbolicScattering (built-in class) SymbolicVariableMass (built-in class) SymmetricTop (built-in class) symmetry (ConservedQuantity attribute) SymmetryType (built-in class) SymplecticIntegrator (class in mechanics_dsl.solver) SystemDef (class in mechanics_dsl.parser) SystemSerializer (class in mechanics_dsl.compiler)

T

target (mechanics_dsl.parser.AnimateDef attribute), [1] time_dilation() (mechanics_dsl.domains.relativistic.LorentzTransform static method) time_of_flight() (mechanics_dsl.domains.kinematics.ProjectileMotion method) time_to_ground() (mechanics_dsl.domains.kinematics.FreeFall method) time_to_reach() (mechanics_dsl.domains.kinematics.UniformMotion method) time_until_available() (mechanics_dsl.utils.TokenBucket method) timeout() (in module mechanics_dsl.utils) TimeoutError to_array() (mechanics_dsl.domains.relativistic.FourVector method) to_dict() (mechanics_dsl.utils.Config method) to_matrix() (InertiaTensor method) Token (class in mechanics_dsl.parser) token (mechanics_dsl.parser.ParserError attribute) TokenBucket (class in mechanics_dsl.utils)

TokenizationError tokenize() (in module mechanics_dsl) (in module mechanics_dsl.parser) tokens (mechanics_dsl.MechanicsParser attribute) (mechanics_dsl.parser.MechanicsParser attribute) (mechanics_dsl.utils.TokenBucket attribute) total_cross_section() (ScatteringAnalyzer method) total_solution() (PerturbationResult method) trail_length (mechanics_dsl.utils.Config property) TransformDef (class in mechanics_dsl.parser) TrapezoidalVariational (class in mechanics_dsl.solver) tsiolkovsky_delta_v() built-in function type (mechanics_dsl.parser.Token attribute), [1]

U

UnaryOpExpr (class in mechanics_dsl.parser) uncertainty_product() (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method) unit (mechanics_dsl.parser.ParameterDef attribute), [1] (mechanics_dsl.parser.VarDef attribute), [1]

unperturbed (PerturbationResult attribute) upper (mechanics_dsl.parser.IntegralExpr attribute), [1]

V

validate() (mechanics_dsl.codegen.CodeGenerator method) validate_array_safe() (in module mechanics_dsl.utils) validate_file_path() (in module mechanics_dsl.utils) validate_finite() (in module mechanics_dsl.utils) validate_non_negative() (in module mechanics_dsl.utils) validate_parameters() (mechanics_dsl.domains.PhysicsDomain method) validate_path_within_base() (in module mechanics_dsl.utils) validate_positive() (in module mechanics_dsl.utils) validate_solution_dict() (in module mechanics_dsl.utils) validate_time_span() (in module mechanics_dsl.utils) value (mechanics_dsl.parser.NumberExpr attribute), [1] (mechanics_dsl.parser.ParameterDef attribute), [1] (mechanics_dsl.parser.Token attribute), [1] var (mechanics_dsl.parser.DerivativeExpr attribute), [1] (mechanics_dsl.parser.DerivativeVarExpr attribute), [1] (mechanics_dsl.parser.IntegralExpr attribute), [1] (mechanics_dsl.parser.TransformDef attribute), [1]

VarDef (class in mechanics_dsl.parser) VariableCategory (class in mechanics_dsl.utils) VariableMassSystem (built-in class) VariationalIntegrator (class in mechanics_dsl.solver) vartype (mechanics_dsl.parser.VarDef attribute), [1] vector (mechanics_dsl.parser.VarDef attribute), [1] VectorExpr (class in mechanics_dsl.parser) VectorOpExpr (class in mechanics_dsl.parser) VELOCITY (mechanics_dsl.utils.VariableCategory attribute) velocity_addition() (mechanics_dsl.domains.relativistic.LorentzTransform static method) velocity_at() (mechanics_dsl.domains.kinematics.ProjectileMotion method) velocity_at_ground() (mechanics_dsl.domains.kinematics.FreeFall method) verify_canonical() (CanonicalTransformation method) VibratingMembrane (built-in class) VibratingString (built-in class) visualize() (mechanics_dsl.core.PhysicsCompiler method)

W

wave_equation_1d() (FieldEulerLagrange method) wave_speed() built-in function wavefunction() (mechanics_dsl.domains.quantum.InfiniteSquareWell method) (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method)

WaveMode (built-in class) wavenumber (WaveMode attribute) WKBApproximation (class in mechanics_dsl.domains.quantum)

Y

Yoshida4 (class in mechanics_dsl.solver)

Z

zero_point_energy() (mechanics_dsl.domains.quantum.QuantumHarmonicOscillator method)