Index

_

_apply_operator() (BaseFraction method) (ComposedFunctionVector method) (Function method)

_check_domain() (Function method) _constant_function_handle() (ConstantFunction method) _get_intermediate_transform() (Base method) _transformation_factory() (Base static method)

A

abs() (EvalData method), [1], [2] add() (EvalData method), [1], [2] add_neutral_element() (BaseFraction method) (ComposedFunctionVector method) (Function method), [1], [2], [3], [4], [5] add_to() (CanonicalEquation method) (CanonicalForm method)

AddMulFunction (class in pyinduct.eigenfunctions) adjust_input_vectors() (EvalData method), [1], [2] append() (SimulationInputVector method) approximate_observer() (in module pyinduct.examples.rad_eq_const_coeff) ApproximationBasis (class in pyinduct.core) as_tuple() (TransformationInfo method)

B

back_project_from_base() (in module pyinduct.core) Base (class in pyinduct.core) (class in pyinduct.eigenfunctions) (class in pyinduct.placeholder)

BaseFraction (class in pyinduct.core) bounds (Domain property), [1], [2], [3], [4]

C

calculate_base_transformation_matrix() (in module pyinduct.core) calculate_eigenvalues() (SecondOrderEigenVector static method) calculate_expanded_base_transformation_matrix() (in module pyinduct.core) calculate_scalar_matrix() (in module pyinduct.core) calculate_scalar_product_matrix() (in module pyinduct.core) (in module pyinduct.feedback) (in module pyinduct.simulation) CanonicalEquation (class in pyinduct.simulation) CanonicalForm (class in pyinduct.simulation) change_projection_base() (in module pyinduct.core) clear_cache() (SimulationInput method), [1], [2], [3] clear_registry() (in module pyinduct.registry) coefficient_recursion() (in module pyinduct.trajectory) color_map (in module pyinduct.visualization) colors (in module pyinduct.visualization) complex_quadrature() (in module pyinduct.core) complex_wrapper() (in module pyinduct.core) (in module pyinduct.visualization) ComposedFunctionVector (class in pyinduct.core) compute_rad_robin_eigenfrequencies() (in module pyinduct.parabolic.general)

conj() (BaseFraction method) ConstantComposedFunctionVector (class in pyinduct.core) ConstantFunction (class in pyinduct.core) (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) ConstantTrajectory (class in pyinduct.trajectory) convert_to_characteristic_root() (SecondOrderEigenVector static method) convert_to_eigenvalue() (SecondOrderEigenVector static method) convert_to_state_space() (CanonicalForm method) create_animation() (in module pyinduct.utils) (in module pyinduct.visualization) create_colormap() (in module pyinduct.visualization) create_dir() (in module pyinduct.utils) (in module pyinduct.visualization) create_state_space() (in module pyinduct.simulation) cure_interval() (LagrangeFirstOrder static method) (LagrangeNthOrder static method) (LagrangeSecondOrder static method) (SecondOrderEigenfunction class method) (SecondOrderEigenVector static method) (ShapeFunction class method), [1]

D

DataPlot (class in pyinduct.visualization) deregister_base() (in module pyinduct.registry) (in module pyinduct.visualization) derivative() (Placeholder method) derivative_handles (Function property), [1], [2], [3], [4], [5] derive() (Base method), [1], [2] (BaseFraction method) (ConstantFunction method), [1], [2] (FieldVariable method), [1] (Function method), [1], [2], [3], [4], [5] (SpatialPlaceholder method) Domain (class in pyinduct.core) (class in pyinduct.eigenfunctions) (class in pyinduct.simulation) (class in pyinduct.trajectory) (class in pyinduct.visualization)

domain_intersection() (in module pyinduct.core) (in module pyinduct.simulation) domain_simplification() (in module pyinduct.core) dominant_form (CanonicalEquation property) dot_product() (in module pyinduct.core) dot_product_l2() (in module pyinduct.core) dst_base (TransformationInfo attribute) dst_lbl (TransformationInfo attribute) dst_order (TransformationInfo attribute)

E

eigfreq_eigval_hint() (ReversedRobinEigenfunction static method) (SecondOrderDirichletEigenfunction static method) (SecondOrderEigenfunction static method) (SecondOrderRobinEigenfunction static method) eigval_tf_eigfreq() (SecondOrderEigenfunction static method) eliminate_advection_term() (in module pyinduct.parabolic.feedforward) (in module pyinduct.parabolic.general) EmptyInput (class in pyinduct.simulation) EquationTerm (class in pyinduct.placeholder) (class in pyinduct.simulation)

EvalData (class in pyinduct.core) (class in pyinduct.simulation) (class in pyinduct.visualization) evaluate_approximation() (in module pyinduct.simulation) evaluate_placeholder_function() (in module pyinduct.placeholder) evaluate_transformations() (in module pyinduct.feedback) evaluation_hint() (BaseFraction method) exported_files (PgAnimatedPlot property)

F

Feedback (class in pyinduct.feedback) FieldVariable (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) (class in pyinduct.simulation) finalize() (CanonicalEquation method) (CanonicalForm method) finalize_dynamic_forms() (CanonicalEquation method) find_roots() (in module pyinduct.core) (in module pyinduct.eigenfunctions) (in module pyinduct.parabolic.general) FiniteTransformFunction (class in pyinduct.eigenfunctions) FORCE_MPL_ON_WINDOWS (in module pyinduct.visualization) from_data() (Function static method), [1], [2], [3], [4], [5] from_dict() (SecondOrderOperator static method), [1], [2] from_list() (SecondOrderOperator static method), [1], [2]

from_scalar() (ScalarFunction static method), [1] Function (class in pyinduct.core) (class in pyinduct.eigenfunctions) (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) (class in pyinduct.simulation) (class in pyinduct.visualization) function_handle (Function property), [1], [2], [3], [4], [5] function_handle_factory() (ReversedRobinEigenfunction method) function_space_hint() (ApproximationBasis method) (Base method), [1], [2] (BaseFraction method) (ComposedFunctionVector method) (Function method), [1], [2], [3], [4], [5] (StackedBase method), [1]

G

generic_scalar_product() (in module pyinduct.core) (in module pyinduct.eigenfunctions) get_adjoint_problem() (SecondOrderEigenfunction static method) (SecondOrderOperator method), [1], [2] get_arg_by_class() (Product method), [1] get_attribute() (Base method), [1], [2] get_base() (in module pyinduct.core) (in module pyinduct.feedback) (in module pyinduct.placeholder) (in module pyinduct.registry) (in module pyinduct.simulation) get_colors() (in module pyinduct.visualization) get_common_form() (in module pyinduct.placeholder) (in module pyinduct.simulation) get_common_target() (in module pyinduct.placeholder) (in module pyinduct.simulation) get_dynamic_terms() (CanonicalEquation method) get_in_domain_transformation_matrix() (in module pyinduct.parabolic.general) get_member() (BaseFraction method) (ComposedFunctionVector method) (Function method), [1], [2], [3], [4], [5]

get_parabolic_dirichlet_weak_form() (in module pyinduct.parabolic.general) get_parabolic_robin_backstepping_controller() (in module pyinduct.parabolic.control) get_parabolic_robin_weak_form() (in module pyinduct.parabolic.general) get_plot() (InterpolationTrajectory method), [1] get_results() (SimulationInput method), [1], [2], [3] get_sim_result() (in module pyinduct.simulation) get_sim_results() (in module pyinduct.simulation) get_static_terms() (CanonicalEquation method) get_terms() (CanonicalForm method) get_transformation_info() (in module pyinduct.core) (in module pyinduct.feedback) (in module pyinduct.simulation) get_weight_transformation() (in module pyinduct.core) (in module pyinduct.feedback) (in module pyinduct.simulation) gevrey_tanh() (in module pyinduct.parabolic.feedforward) (in module pyinduct.trajectory)

I

imag() (BaseFraction method) Input (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) (class in pyinduct.simulation) input_function (CanonicalEquation property) (CanonicalForm property) IntegralTerm (class in pyinduct.parabolic.control) (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) (class in pyinduct.simulation)

integrate_function() (in module pyinduct.core) (in module pyinduct.simulation) interpolate() (EvalData method), [1], [2] InterpolationTrajectory (class in pyinduct.parabolic.feedforward) (class in pyinduct.trajectory) is_compatible_to() (ApproximationBasis method) (StackedBase method), [1] is_registered() (in module pyinduct.placeholder) (in module pyinduct.registry)

L

LagrangeFirstOrder (class in pyinduct.shapefunctions) LagrangeNthOrder (class in pyinduct.shapefunctions)

LagrangeSecondOrder (class in pyinduct.shapefunctions) LambdifiedSympyExpression (class in pyinduct.eigenfunctions)

M

matmul() (EvalData method), [1], [2] mirror() (TransformationInfo method) module pyinduct.core pyinduct.eigenfunctions pyinduct.examples.pipe_flow pyinduct.examples.rad_eq_const_coeff pyinduct.examples.string_with_mass pyinduct.feedback pyinduct.parabolic.control pyinduct.parabolic.feedforward pyinduct.parabolic.general pyinduct.parabolic.trajectory pyinduct.placeholder pyinduct.registry pyinduct.shapefunctions pyinduct.simulation pyinduct.trajectory pyinduct.utils pyinduct.visualization

mpl_3d_remove_margins() (in module pyinduct.visualization) mpl_activate_latex() (in module pyinduct.visualization) MplSlicePlot (class in pyinduct.visualization) MplSurfacePlot (class in pyinduct.visualization) mul() (EvalData method), [1], [2] mul_neutral_element() (BaseFraction method) (ComposedFunctionVector method) (Function method), [1], [2], [3], [4], [5]

N

ndim (Domain property), [1], [2], [3], [4]

normalize_base() (in module pyinduct.core) (in module pyinduct.eigenfunctions)

O

ObserverFeedback (class in pyinduct.feedback)

ObserverGain (class in pyinduct.placeholder) (class in pyinduct.simulation)

P

Parameters (class in pyinduct.core) (class in pyinduct.simulation) parse_weak_formulation() (in module pyinduct.feedback) (in module pyinduct.simulation) parse_weak_formulations() (in module pyinduct.simulation) PgAnimatedPlot (class in pyinduct.visualization) PgDataPlot (class in pyinduct.visualization) PgLinePlot3d (class in pyinduct.visualization) PgSlicePlot (class in pyinduct.visualization) PgSurfacePlot (class in pyinduct.visualization) Placeholder (class in pyinduct.placeholder) points (Domain property), [1], [2], [3], [4] power_series() (in module pyinduct.trajectory) power_series_flat_out() (in module pyinduct.parabolic.feedforward) Product (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) project_on_base() (in module pyinduct.core) project_on_bases() (in module pyinduct.core) (in module pyinduct.simulation) project_weights() (in module pyinduct.core) pyinduct.core module pyinduct.eigenfunctions module pyinduct.examples.pipe_flow module pyinduct.examples.rad_eq_const_coeff module

pyinduct.examples.string_with_mass module pyinduct.feedback module pyinduct.parabolic.control module pyinduct.parabolic.feedforward module pyinduct.parabolic.general module pyinduct.parabolic.trajectory module pyinduct.placeholder module pyinduct.registry module pyinduct.shapefunctions module pyinduct.simulation module pyinduct.trajectory module pyinduct.utils module pyinduct.visualization module

R

RadFeedForward (class in pyinduct.parabolic.feedforward) raise_to() (Base method), [1], [2] (BaseFraction method) (Function method), [1], [2], [3], [4], [5] real() (BaseFraction method) (in module pyinduct.core) (in module pyinduct.eigenfunctions)

register_base() (in module pyinduct.placeholder) (in module pyinduct.registry) (in module pyinduct.simulation) ReversedRobinEigenfunction (class in pyinduct.examples.rad_eq_const_coeff) rhs() (StateSpace method) run() (in module pyinduct.examples.rad_eq_const_coeff)

S

sanitize_input() (in module pyinduct.core) (in module pyinduct.placeholder) (in module pyinduct.simulation) save_2d_pg_plot() (in module pyinduct.visualization) scalar_product_hint() (ApproximationBasis method) (Base method), [1], [2] (BaseFraction method) (ComposedFunctionVector method) (Function method), [1], [2], [3], [4], [5] (StackedBase method), [1] ScalarFunction (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) ScalarProductTerm (class in pyinduct.placeholder) (class in pyinduct.simulation) Scalars (class in pyinduct.placeholder) (class in pyinduct.simulation) ScalarTerm (class in pyinduct.parabolic.control) (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) (class in pyinduct.simulation) scale() (Base method), [1], [2] (BaseFraction method) (ComposedFunctionVector method) (Function method), [1], [2], [3], [4], [5] (InterpolationTrajectory method), [1] (StackedBase method), [1] scale_equation_term_list() (in module pyinduct.parabolic.control) SecondOrderDirichletEigenfunction (class in pyinduct.eigenfunctions) SecondOrderEigenfunction (class in pyinduct.eigenfunctions) SecondOrderEigenVector (class in pyinduct.eigenfunctions) SecondOrderOperator (class in pyinduct.eigenfunctions) (class in pyinduct.parabolic.feedforward) (class in pyinduct.parabolic.general) SecondOrderRobinEigenfunction (class in pyinduct.eigenfunctions)

set_dominant_labels() (in module pyinduct.simulation) set_input_function() (CanonicalEquation method) (CanonicalForm method) ShapeFunction (class in pyinduct.eigenfunctions) (class in pyinduct.shapefunctions) show() (in module pyinduct.visualization) SignalGenerator (class in pyinduct.trajectory) simulate_state_space() (in module pyinduct.simulation) simulate_system() (in module pyinduct.simulation) simulate_systems() (in module pyinduct.simulation) SimulationInput (class in pyinduct.feedback) (class in pyinduct.parabolic.control) (class in pyinduct.simulation) (class in pyinduct.trajectory) SimulationInputSum (class in pyinduct.parabolic.control) (class in pyinduct.simulation) SimulationInputVector (class in pyinduct.simulation) SmoothTransition (class in pyinduct.trajectory) SpatialDerivedFieldVariable (class in pyinduct.placeholder) SpatialPlaceholder (class in pyinduct.placeholder) split_domain() (in module pyinduct.parabolic.control) sqrt() (EvalData method), [1], [2] src_base (TransformationInfo attribute) src_lbl (TransformationInfo attribute) src_order (TransformationInfo attribute) StackedBase (class in pyinduct.core) (class in pyinduct.simulation) StateFeedback (class in pyinduct.feedback) (class in pyinduct.parabolic.control) StateSpace (class in pyinduct.simulation) static_form (CanonicalEquation property) step (Domain property), [1], [2], [3], [4] sub() (EvalData method), [1], [2] surface_plot() (in module pyinduct.visualization)

T

tear_down() (in module pyinduct.visualization) temporal_derived_power_series() (in module pyinduct.trajectory) TemporalDerivedFieldVariable (class in pyinduct.placeholder) TestFunction (class in pyinduct.parabolic.general) (class in pyinduct.placeholder) (class in pyinduct.simulation)

transformation_hint() (Base method), [1], [2] (StackedBase method), [1] TransformationInfo (class in pyinduct.core) TransformedSecondOrderEigenfunction (class in pyinduct.eigenfunctions)

V

vectorize_scalar_product() (in module pyinduct.core) (in module pyinduct.simulation)

visualize_functions() (in module pyinduct.visualization) visualize_roots() (in module pyinduct.eigenfunctions) (in module pyinduct.visualization)

W

WeakFormulation (class in pyinduct.parabolic.control) (class in pyinduct.parabolic.general) (class in pyinduct.simulation)