Index

A

add_basicop() (in module sympde.calculus.core) add_int() (in module sympde.expr.expr) adjacent_boundaries (sympde.topology.basic.Boundary property) Adjoint (class in sympde.exterior.calculus) AdjointExteriorDerivative (class in sympde.exterior.calculus) AdjointInteriorProduct (class in sympde.exterior.calculus) AdjointLieDerivative (class in sympde.exterior.calculus) Advection (class in sympde.expr.evaluation) AdvectionT (class in sympde.expr.evaluation) AffineMapping (class in sympde.topology.analytical_mapping) Area (class in sympde.topology.domain) arg (sympde.calculus.matrices.Inverse property) (sympde.calculus.matrices.SymbolicDeterminant property) (sympde.calculus.matrices.SymbolicTrace property) (sympde.calculus.matrices.Transpose property)

args (sympde.topology.measure.CanonicalMeasure property) (sympde.topology.measure.CartesianMeasure property) (sympde.topology.measure.Measure property) ArgumentTypeError as_tuple() (sympde.topology.basic.Union method) augmented_expression() (in module sympde.exterior.compiler) Average (class in sympde.calculus.core) avg (in module sympde.calculus.core) axis (sympde.expr.evaluation.Basic1dForm property) (sympde.topology.basic.Boundary property) (sympde.topology.basic.Interface property) (sympde.topology.mapping.JacobianInverseSymbol property) (sympde.topology.mapping.JacobianSymbol property)

B

base (sympde.calculus.matrices.MatrixElement property) Basic1dForm (class in sympde.expr.evaluation) BasicArea (class in sympde.topology.domain) BasicBoundaryCondition (class in sympde.expr.equation) BasicCallableMapping (class in sympde.topology.mapping) BasicConstraint (class in sympde.expr.equation) BasicDerivable (class in sympde.core.basic) BasicDomain (class in sympde.topology.basic) BasicExpr (class in sympde.expr.basic) BasicForm (class in sympde.expr.basic) BasicFunctionSpace (class in sympde.topology.space) BasicGeometryOperator (class in sympde.topology.domain) BasicMapping (class in sympde.core.basic) BasicMeasure (class in sympde.topology.measure) BasicOperator (class in sympde.calculus.core) (class in sympde.exterior.calculus) BasicOperatorAdd (class in sympde.calculus.core) bc (sympde.expr.equation.Equation property) Bilaplacian (class in sympde.expr.evaluation) BilinearForm (class in sympde.expr.expr)

boundaries (sympde.topology.basic.CornerBoundary property) Boundary (class in sympde.topology.basic) boundary (sympde.expr.equation.EssentialBC property) (sympde.topology.domain.Domain property) (sympde.topology.domain.NCubeInterior property) (sympde.topology.domain.PeriodicDomain property) (sympde.topology.space.Trace property) BoundaryExpression (class in sympde.expr.evaluation) BoundaryVector (class in sympde.topology.domain) bounds (sympde.topology.basic.Interval property) (sympde.topology.domain.Line property) bounds1 (sympde.topology.domain.Cube property) (sympde.topology.domain.Square property) bounds2 (sympde.topology.domain.Cube property) (sympde.topology.domain.Square property) bounds3 (sympde.topology.domain.Cube property) Bracket (class in sympde.calculus.core) bracket (in module sympde.calculus.core) Bracket_2d (class in sympde.topology.derivatives) BracketBasic (class in sympde.topology.derivatives)

C

CalculusError CalculusFunction (class in sympde.core.basic) CallableMapping (class in sympde.topology.callable_mapping) CanonicalMeasure (class in sympde.topology.measure) CartesianMeasure (class in sympde.topology.measure) CollelaMapping2D (class in sympde.topology.analytical_mapping) complement() (sympde.topology.basic.Union method) Connectivity (class in sympde.topology.basic) connectivity (sympde.topology.domain.Domain property) Constant (class in sympde.core.basic) constants (sympde.expr.basic.BasicExpr property) (sympde.expr.basic.BasicForm property) (sympde.topology.mapping.Mapping property) constraint (sympde.expr.equation.Equation property) Contravariant (class in sympde.topology.mapping) conv (in module sympde.calculus.core) Convect (class in sympde.calculus.core) convect (in module sympde.calculus.core) Convolution (class in sympde.calculus.core) coordinate (sympde.topology.derivatives.DifferentialOperator attribute) (sympde.topology.derivatives.dx attribute) (sympde.topology.derivatives.dx1 attribute) (sympde.topology.derivatives.dx2 attribute) (sympde.topology.derivatives.dx3 attribute) (sympde.topology.derivatives.dy attribute) (sympde.topology.derivatives.dz attribute) coordinates (sympde.expr.expr.BilinearForm property) (sympde.expr.expr.Functional property) (sympde.expr.expr.LinearForm property) (sympde.topology.basic.BasicDomain property) (sympde.topology.basic.CornerBoundary property) (sympde.topology.basic.Union property) (sympde.topology.domain.PeriodicDomain property) (sympde.topology.mapping.Mapping property) (sympde.topology.space.BasicFunctionSpace property)

copy() (sympde.topology.mapping.Mapping method) CornerBoundary (class in sympde.topology.basic) CornerInterface (class in sympde.topology.basic) corners (sympde.topology.basic.CornerInterface property) (sympde.topology.domain.Domain property) Covariant (class in sympde.topology.mapping) Cross (class in sympde.calculus.core) cross (in module sympde.calculus.core) Cross_2d (class in sympde.core.algebra) (class in sympde.topology.derivatives) Cross_3d (class in sympde.core.algebra) (class in sympde.topology.derivatives) CrossBasic (class in sympde.core.algebra) (class in sympde.topology.derivatives) Cube (class in sympde.topology.domain) Curl (class in sympde.calculus.core) curl (in module sympde.calculus.core) Curl_2d (class in sympde.topology.derivatives) Curl_3d (class in sympde.topology.derivatives) CurlBasic (class in sympde.topology.derivatives) CzarnyMapping (class in sympde.topology.analytical_mapping)

D

D (in module sympde.calculus.core) d (in module sympde.exterior.calculus) default_assumptions (sympde.calculus.core.Average attribute) (sympde.calculus.core.BasicOperator attribute) (sympde.calculus.core.BasicOperatorAdd attribute) (sympde.calculus.core.Bracket attribute) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Convolution attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div attribute) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Jump attribute) (sympde.calculus.core.Laplace attribute) (sympde.calculus.core.MinusInterfaceOperator attribute) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.PlusInterfaceOperator attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixElement attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.SymbolicDeterminant attribute) (sympde.calculus.matrices.SymbolicTrace attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.core.algebra.Cross_2d attribute) (sympde.core.algebra.Cross_3d attribute) (sympde.core.algebra.CrossBasic attribute) (sympde.core.algebra.Dot_1d attribute) (sympde.core.algebra.Dot_2d attribute) (sympde.core.algebra.Dot_3d attribute) (sympde.core.algebra.DotBasic attribute) (sympde.core.algebra.Inner_2d attribute) (sympde.core.algebra.Inner_3d attribute) (sympde.core.algebra.InnerBasic attribute) (sympde.core.algebra.LinearOperator attribute) (sympde.core.basic.BasicDerivable attribute) (sympde.core.basic.BasicMapping attribute) (sympde.core.basic.CalculusFunction attribute) (sympde.core.basic.Constant attribute) (sympde.expr.basic.BasicExpr attribute) (sympde.expr.basic.BasicForm attribute) (sympde.expr.equation.BasicBoundaryCondition attribute) (sympde.expr.equation.BasicConstraint attribute) (sympde.expr.equation.Equation attribute) (sympde.expr.equation.EssentialBC attribute) (sympde.expr.equation.Mean attribute) (sympde.expr.equation.NewtonIteration attribute) (sympde.expr.evaluation.Advection attribute) (sympde.expr.evaluation.AdvectionT attribute) (sympde.expr.evaluation.Basic1dForm attribute) (sympde.expr.evaluation.Bilaplacian attribute) (sympde.expr.evaluation.BoundaryExpression attribute) (sympde.expr.evaluation.DomainExpression attribute) (sympde.expr.evaluation.InterfaceExpression attribute) (sympde.expr.evaluation.KernelExpression attribute) (sympde.expr.evaluation.Mass attribute) (sympde.expr.evaluation.Stiffness attribute) (sympde.expr.evaluation.TensorExpr attribute) (sympde.expr.evaluation.TerminalExpr attribute) (sympde.expr.expr.BilinearForm attribute) (sympde.expr.expr.Functional attribute) (sympde.expr.expr.IntAdd attribute) (sympde.expr.expr.Integral attribute) (sympde.expr.expr.LinearExpr attribute) (sympde.expr.expr.LinearForm attribute) (sympde.expr.expr.Norm attribute) (sympde.expr.expr.SemiNorm attribute) (sympde.exterior.calculus.Adjoint attribute) (sympde.exterior.calculus.AdjointExteriorDerivative attribute) (sympde.exterior.calculus.AdjointInteriorProduct attribute) (sympde.exterior.calculus.AdjointLieDerivative attribute) (sympde.exterior.calculus.BasicOperator attribute) (sympde.exterior.calculus.ExteriorDerivative attribute) (sympde.exterior.calculus.ExteriorProduct attribute) (sympde.exterior.calculus.Hodge attribute) (sympde.exterior.calculus.InteriorProduct attribute) (sympde.exterior.calculus.LieDerivative attribute) (sympde.exterior.calculus.PullBack attribute) (sympde.exterior.compiler.ExteriorCalculusExpr attribute) (sympde.exterior.datatype.FiveFormType attribute) (sympde.exterior.datatype.FormType attribute) (sympde.exterior.datatype.FourFormType attribute) (sympde.exterior.datatype.OneFormType attribute) (sympde.exterior.datatype.SixFormType attribute) (sympde.exterior.datatype.ThreeFormType attribute) (sympde.exterior.datatype.TwoFormType attribute) (sympde.exterior.datatype.ZeroFormType attribute) (sympde.exterior.form.DifferentialForm attribute) (sympde.topology.analytical_mapping.AffineMapping attribute) (sympde.topology.analytical_mapping.CollelaMapping2D attribute) (sympde.topology.analytical_mapping.CzarnyMapping attribute) (sympde.topology.analytical_mapping.IdentityMapping attribute) (sympde.topology.analytical_mapping.PolarMapping attribute) (sympde.topology.analytical_mapping.SphericalMapping attribute) (sympde.topology.analytical_mapping.TargetMapping attribute) (sympde.topology.analytical_mapping.TorusMapping attribute) (sympde.topology.analytical_mapping.TorusSurfaceMapping attribute) (sympde.topology.analytical_mapping.TwistedTargetMapping attribute) (sympde.topology.analytical_mapping.TwistedTargetSurfaceMapping attribute) (sympde.topology.basic.BasicDomain attribute) (sympde.topology.basic.Boundary attribute) (sympde.topology.basic.CornerBoundary attribute) (sympde.topology.basic.CornerInterface attribute) (sympde.topology.basic.Interface attribute) (sympde.topology.basic.InteriorDomain attribute) (sympde.topology.basic.Interval attribute) (sympde.topology.basic.ProductDomain attribute) (sympde.topology.basic.Union attribute) (sympde.topology.datatype.H1RegularityType attribute) (sympde.topology.datatype.H1SpaceType attribute) (sympde.topology.datatype.HcurlRegularityType attribute) (sympde.topology.datatype.HcurlSpaceType attribute) (sympde.topology.datatype.HdivRegularityType attribute) (sympde.topology.datatype.HdivSpaceType attribute) (sympde.topology.datatype.L2RegularityType attribute) (sympde.topology.datatype.L2SpaceType attribute) (sympde.topology.datatype.RegularityType attribute) (sympde.topology.datatype.SpaceType attribute) (sympde.topology.datatype.UndefinedSpaceType attribute) (sympde.topology.derivatives.Bracket_2d attribute) (sympde.topology.derivatives.BracketBasic attribute) (sympde.topology.derivatives.Cross_2d attribute) (sympde.topology.derivatives.Cross_3d attribute) (sympde.topology.derivatives.CrossBasic attribute) (sympde.topology.derivatives.Curl_2d attribute) (sympde.topology.derivatives.Curl_3d attribute) (sympde.topology.derivatives.CurlBasic attribute) (sympde.topology.derivatives.DifferentialOperator attribute) (sympde.topology.derivatives.Div_1d attribute) (sympde.topology.derivatives.Div_2d attribute) (sympde.topology.derivatives.Div_3d attribute) (sympde.topology.derivatives.DivBasic attribute) (sympde.topology.derivatives.Dot_1d attribute) (sympde.topology.derivatives.Dot_2d attribute) (sympde.topology.derivatives.Dot_3d attribute) (sympde.topology.derivatives.DotBasic attribute) (sympde.topology.derivatives.dx attribute) (sympde.topology.derivatives.dx1 attribute) (sympde.topology.derivatives.dx2 attribute) (sympde.topology.derivatives.dx3 attribute) (sympde.topology.derivatives.dy attribute) (sympde.topology.derivatives.dz attribute) (sympde.topology.derivatives.Grad_1d attribute) (sympde.topology.derivatives.Grad_2d attribute) (sympde.topology.derivatives.Grad_3d attribute) (sympde.topology.derivatives.GradBasic attribute) (sympde.topology.derivatives.Hessian_1d attribute) (sympde.topology.derivatives.Hessian_2d attribute) (sympde.topology.derivatives.Hessian_3d attribute) (sympde.topology.derivatives.HessianBasic attribute) (sympde.topology.derivatives.Laplace_1d attribute) (sympde.topology.derivatives.Laplace_2d attribute) (sympde.topology.derivatives.Laplace_3d attribute) (sympde.topology.derivatives.LaplaceBasic attribute) (sympde.topology.derivatives.LogicalBracket_2d attribute) (sympde.topology.derivatives.LogicalCurl_2d attribute) (sympde.topology.derivatives.LogicalCurl_3d attribute) (sympde.topology.derivatives.LogicalDiv_1d attribute) (sympde.topology.derivatives.LogicalDiv_2d attribute) (sympde.topology.derivatives.LogicalDiv_3d attribute) (sympde.topology.derivatives.LogicalGrad_1d attribute) (sympde.topology.derivatives.LogicalGrad_2d attribute) (sympde.topology.derivatives.LogicalGrad_3d attribute) (sympde.topology.derivatives.LogicalHessian_1d attribute) (sympde.topology.derivatives.LogicalHessian_2d attribute) (sympde.topology.derivatives.LogicalHessian_3d attribute) (sympde.topology.derivatives.LogicalLaplace_1d attribute) (sympde.topology.derivatives.LogicalLaplace_2d attribute) (sympde.topology.derivatives.LogicalLaplace_3d attribute) (sympde.topology.derivatives.LogicalRot_2d attribute) (sympde.topology.derivatives.Rot_2d attribute) (sympde.topology.domain.Area attribute) (sympde.topology.domain.BasicArea attribute) (sympde.topology.domain.BasicGeometryOperator attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.Cube attribute) (sympde.topology.domain.Domain attribute) (sympde.topology.domain.DomainArea attribute) (sympde.topology.domain.ElementArea attribute) (sympde.topology.domain.ElementDomain attribute) (sympde.topology.domain.Line attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NCube attribute) (sympde.topology.domain.NCubeInterior attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PeriodicDomain attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.Square attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.Contravariant attribute) (sympde.topology.mapping.Covariant attribute) (sympde.topology.mapping.InterfaceMapping attribute) (sympde.topology.mapping.InverseMapping attribute) (sympde.topology.mapping.Jacobian attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.LogicalExpr attribute) (sympde.topology.mapping.MappedDomain attribute) (sympde.topology.mapping.Mapping attribute) (sympde.topology.mapping.MappingApplication attribute) (sympde.topology.mapping.MultiPatchMapping attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.mapping.SymbolicExpr attribute) (sympde.topology.mapping.SymbolicWeightedVolume attribute) (sympde.topology.measure.BasicMeasure attribute) (sympde.topology.measure.CanonicalMeasure attribute) (sympde.topology.measure.CartesianMeasure attribute) (sympde.topology.measure.Measure attribute) (sympde.topology.space.BasicFunctionSpace attribute) (sympde.topology.space.IndexedVectorFunction attribute) (sympde.topology.space.ProductSpace attribute) (sympde.topology.space.Projection attribute) (sympde.topology.space.Projector attribute) (sympde.topology.space.ScalarFunction attribute) (sympde.topology.space.ScalarFunctionSpace attribute) (sympde.topology.space.Trace attribute) (sympde.topology.space.VectorFunction attribute) (sympde.topology.space.VectorFunctionSpace attribute)

delta (in module sympde.exterior.calculus) Derham (class in sympde.topology.space) det() (sympde.calculus.matrices.MatrixSymbolicExpr method) det_jacobian (sympde.topology.mapping.Mapping property) DifferentialForm (class in sympde.exterior.form) DifferentialOperator (class in sympde.topology.derivatives) DiffOperator (class in sympde.calculus.core) dim (sympde.exterior.form.DifferentialForm property) (sympde.topology.basic.BasicDomain property) (sympde.topology.basic.Boundary property) (sympde.topology.basic.Interface property) (sympde.topology.basic.InteriorDomain property) (sympde.topology.basic.Union property) (sympde.topology.domain.Domain property) (sympde.topology.domain.PeriodicDomain property) Div (class in sympde.calculus.core) div (in module sympde.calculus.core) Div_1d (class in sympde.topology.derivatives) Div_2d (class in sympde.topology.derivatives) Div_3d (class in sympde.topology.derivatives) DivBasic (class in sympde.topology.derivatives) Dn (in module sympde.calculus.core) Domain (class in sympde.topology.domain) domain (sympde.expr.basic.BasicForm property) (sympde.expr.evaluation.TerminalExpr property) (sympde.expr.expr.BilinearForm property) (sympde.expr.expr.Functional property) (sympde.expr.expr.Integral property) (sympde.expr.expr.LinearForm property) (sympde.topology.basic.Boundary property) (sympde.topology.basic.CornerBoundary property) (sympde.topology.domain.BasicArea property) (sympde.topology.domain.PeriodicDomain property) (sympde.topology.mapping.LogicalExpr property) (sympde.topology.space.BasicFunctionSpace property) (sympde.topology.space.Derham property) (sympde.topology.space.ProductSpace property) DomainArea (class in sympde.topology.domain) DomainExpression (class in sympde.expr.evaluation) domains (sympde.topology.basic.ProductDomain property) Dot (class in sympde.calculus.core) dot (in module sympde.calculus.core) Dot_1d (class in sympde.core.algebra) (class in sympde.topology.derivatives) Dot_2d (class in sympde.core.algebra) (class in sympde.topology.derivatives) Dot_3d (class in sympde.core.algebra) (class in sympde.topology.derivatives) DotBasic (class in sympde.core.algebra) (class in sympde.topology.derivatives) dtype (sympde.topology.basic.InteriorDomain property) (sympde.topology.domain.Domain property) duplicate() (sympde.topology.space.ScalarFunction method) (sympde.topology.space.VectorFunction method) dx (class in sympde.topology.derivatives) dx1 (class in sympde.topology.derivatives) dx2 (class in sympde.topology.derivatives) dx3 (class in sympde.topology.derivatives) dy (class in sympde.topology.derivatives) dz (class in sympde.topology.derivatives)

E

Edge (class in sympde.topology.basic) element() (sympde.topology.space.ProductSpace method) (sympde.topology.space.ScalarFunctionSpace method) (sympde.topology.space.VectorFunctionSpace method) element_of() (in module sympde.topology.space) ElementArea (class in sympde.topology.domain) ElementDomain (class in sympde.topology.domain) elements_of() (in module sympde.topology.space) Equation (class in sympde.expr.equation) EssentialBC (class in sympde.expr.equation) eval() (sympde.calculus.core.Average class method) (sympde.calculus.core.Bracket class method) (sympde.calculus.core.Convolution class method) (sympde.calculus.core.Curl class method) (sympde.calculus.core.Div class method) (sympde.calculus.core.Grad class method) (sympde.calculus.core.Hessian class method) (sympde.calculus.core.Jump class method) (sympde.calculus.core.Laplace class method) (sympde.calculus.core.MinusInterfaceOperator class method) (sympde.calculus.core.NormalDerivative class method) (sympde.calculus.core.PlusInterfaceOperator class method) (sympde.calculus.core.Rot class method) (sympde.core.algebra.Cross_2d class method) (sympde.core.algebra.Cross_3d class method) (sympde.core.algebra.Dot_1d class method) (sympde.core.algebra.Dot_2d class method) (sympde.core.algebra.Dot_3d class method) (sympde.core.algebra.Inner_2d class method) (sympde.core.algebra.Inner_3d class method) (sympde.core.algebra.LinearOperator class method) (sympde.expr.evaluation.TensorExpr class method) (sympde.expr.evaluation.TerminalExpr class method) (sympde.exterior.calculus.Adjoint class method) (sympde.exterior.calculus.AdjointExteriorDerivative class method) (sympde.exterior.calculus.AdjointInteriorProduct class method) (sympde.exterior.calculus.AdjointLieDerivative class method) (sympde.exterior.calculus.ExteriorDerivative class method) (sympde.exterior.calculus.ExteriorProduct class method) (sympde.exterior.calculus.Hodge class method) (sympde.exterior.calculus.InteriorProduct class method) (sympde.exterior.calculus.LieDerivative class method) (sympde.exterior.calculus.PullBack class method) (sympde.exterior.compiler.ExteriorCalculusExpr class method) (sympde.topology.derivatives.Bracket_2d class method) (sympde.topology.derivatives.Cross_2d class method) (sympde.topology.derivatives.Cross_3d class method) (sympde.topology.derivatives.Curl_2d class method) (sympde.topology.derivatives.Curl_3d class method) (sympde.topology.derivatives.DifferentialOperator class method) (sympde.topology.derivatives.Div_1d class method) (sympde.topology.derivatives.Div_2d class method) (sympde.topology.derivatives.Div_3d class method) (sympde.topology.derivatives.Dot_1d class method) (sympde.topology.derivatives.Dot_2d class method) (sympde.topology.derivatives.Dot_3d class method) (sympde.topology.derivatives.Grad_1d class method) (sympde.topology.derivatives.Grad_2d class method) (sympde.topology.derivatives.Grad_3d class method) (sympde.topology.derivatives.Hessian_1d class method) (sympde.topology.derivatives.Hessian_2d class method) (sympde.topology.derivatives.Hessian_3d class method) (sympde.topology.derivatives.Laplace_1d class method) (sympde.topology.derivatives.Laplace_2d class method) (sympde.topology.derivatives.Laplace_3d class method) (sympde.topology.derivatives.LogicalBracket_2d class method) (sympde.topology.derivatives.LogicalCurl_2d class method) (sympde.topology.derivatives.LogicalCurl_3d class method) (sympde.topology.derivatives.LogicalDiv_1d class method) (sympde.topology.derivatives.LogicalDiv_2d class method) (sympde.topology.derivatives.LogicalDiv_3d class method) (sympde.topology.derivatives.LogicalGrad_1d class method) (sympde.topology.derivatives.LogicalGrad_2d class method) (sympde.topology.derivatives.LogicalGrad_3d class method) (sympde.topology.derivatives.LogicalHessian_1d class method) (sympde.topology.derivatives.LogicalHessian_2d class method) (sympde.topology.derivatives.LogicalHessian_3d class method) (sympde.topology.derivatives.LogicalLaplace_1d class method) (sympde.topology.derivatives.LogicalLaplace_2d class method) (sympde.topology.derivatives.LogicalLaplace_3d class method) (sympde.topology.derivatives.LogicalRot_2d class method) (sympde.topology.derivatives.Rot_2d class method) (sympde.topology.domain.Area class method) (sympde.topology.mapping.Contravariant class method) (sympde.topology.mapping.Covariant class method) (sympde.topology.mapping.Jacobian class method) (sympde.topology.mapping.LogicalExpr class method) (sympde.topology.mapping.SymbolicExpr class method) (sympde.topology.space.Trace class method)

expand() (in module sympde.expr.expr) expand_name_patterns() (in module sympde.core.utils) exponent (sympde.expr.expr.Norm property) (sympde.expr.expr.SemiNorm property) export() (sympde.topology.domain.Domain method) expr (sympde.expr.evaluation.KernelExpression property) (sympde.expr.evaluation.TerminalExpr property) (sympde.expr.expr.BilinearForm property) (sympde.expr.expr.Functional property) (sympde.expr.expr.Integral property) (sympde.expr.expr.LinearExpr property) (sympde.expr.expr.LinearForm property) (sympde.topology.mapping.LogicalExpr property) (sympde.topology.mapping.PullBack property) (sympde.topology.space.Projection property) (sympde.topology.space.Trace property) expressions (sympde.topology.mapping.Mapping property) ext (sympde.topology.basic.Boundary property) ExteriorCalculusExpr (class in sympde.exterior.compiler) ExteriorDerivative (class in sympde.exterior.calculus) ExteriorProduct (class in sympde.exterior.calculus) extract_version() (in module sympde.version)

F

fields (sympde.expr.basic.BasicExpr property) (sympde.expr.basic.BasicForm property) find() (in module sympde.expr.equation) find_partial_derivatives() (in module sympde.topology.derivatives) FiveFormType (class in sympde.exterior.datatype) FormType (class in sympde.exterior.datatype)

FormTypeFactory() (in module sympde.exterior.datatype) FourFormType (class in sympde.exterior.datatype) free_symbols (sympde.topology.space.IndexedVectorFunction property) from_file() (sympde.topology.domain.Domain class method) (sympde.topology.domain.NCube class method) Functional (class in sympde.expr.expr)

G

get_atom_derivatives() (in module sympde.topology.derivatives) get_atom_logical_derivatives() (in module sympde.topology.derivatives) get_boundary() (sympde.topology.domain.Domain method) (sympde.topology.domain.NCubeInterior method) get_callable_mapping() (sympde.topology.mapping.Mapping method) get_free_variables() (sympde.expr.basic.BasicForm method) get_index_derivatives() (in module sympde.topology.derivatives) get_index_derivatives_atom() (in module sympde.topology.derivatives) get_index_form() (in module sympde.exterior.datatype) get_index_logical_derivatives() (in module sympde.topology.derivatives) get_index_logical_derivatives_atom() (in module sympde.topology.derivatives) get_interface() (sympde.topology.domain.Domain method) get_interior() (sympde.topology.domain.Domain method) get_logical_test_function() (in module sympde.topology.mapping) get_max_logical_partial_derivatives() (in module sympde.topology.derivatives)

get_max_partial_derivatives() (in module sympde.topology.derivatives) get_number_derivatives() (in module sympde.topology.derivatives) get_shared_corners() (sympde.topology.domain.Domain method) get_subdomain() (sympde.topology.domain.Domain method) Grad (class in sympde.calculus.core) grad (in module sympde.calculus.core) Grad_1d (class in sympde.topology.derivatives) Grad_2d (class in sympde.topology.derivatives) Grad_3d (class in sympde.topology.derivatives) grad_index (sympde.topology.derivatives.dx attribute) (sympde.topology.derivatives.dx1 attribute) (sympde.topology.derivatives.dx2 attribute) (sympde.topology.derivatives.dx3 attribute) (sympde.topology.derivatives.dy attribute) (sympde.topology.derivatives.dz attribute) GradBasic (class in sympde.topology.derivatives)

H

H1RegularityType (class in sympde.topology.datatype) H1SpaceType (class in sympde.topology.datatype) has() (in module sympde.calculus.core) HcurlRegularityType (class in sympde.topology.datatype) HcurlSpaceType (class in sympde.topology.datatype) HdivRegularityType (class in sympde.topology.datatype) HdivSpaceType (class in sympde.topology.datatype)

Hessian (class in sympde.calculus.core) hessian (in module sympde.calculus.core) Hessian_1d (class in sympde.topology.derivatives) Hessian_2d (class in sympde.topology.derivatives) Hessian_3d (class in sympde.topology.derivatives) HessianBasic (class in sympde.topology.derivatives) Hodge (class in sympde.exterior.calculus) hodge (in module sympde.exterior.calculus)

I

IdentityMapping (class in sympde.topology.analytical_mapping) index (sympde.exterior.datatype.FormType property) (sympde.exterior.form.DifferentialForm property) (sympde.topology.datatype.RegularityType property) index_component (sympde.expr.equation.EssentialBC property) IndexedVectorFunction (class in sympde.topology.space) indices (sympde.calculus.matrices.MatrixElement property) infere_type() (in module sympde.exterior.inference) Inner (class in sympde.calculus.core) inner (in module sympde.calculus.core) Inner_2d (class in sympde.core.algebra) Inner_3d (class in sympde.core.algebra) InnerBasic (class in sympde.core.algebra) IntAdd (class in sympde.expr.expr) Integral (class in sympde.expr.expr) integral() (in module sympde.expr.expr) Interface (class in sympde.topology.basic) InterfaceExpression (class in sympde.expr.evaluation) InterfaceMapping (class in sympde.topology.mapping) interfaces (sympde.topology.basic.Connectivity property) (sympde.topology.domain.Domain property) interior (sympde.topology.domain.Domain property) interior_names (sympde.topology.domain.Domain property) InteriorDomain (class in sympde.topology.basic) InteriorProduct (class in sympde.exterior.calculus) Interval (class in sympde.topology.basic) inv() (sympde.calculus.matrices.MatrixSymbolicExpr method) (sympde.topology.mapping.JacobianSymbol method) Inverse (class in sympde.calculus.matrices) inverse() (sympde.calculus.matrices.MatrixSymbolicExpr method) InverseMapping (class in sympde.topology.mapping) ip (in module sympde.exterior.calculus) is_algebraic (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_analytical (sympde.topology.mapping.InterfaceMapping property) (sympde.topology.mapping.Mapping property) (sympde.topology.mapping.MultiPatchMapping property) is_Atom (sympde.topology.space.IndexedVectorFunction attribute) is_bilinear (sympde.expr.basic.BasicExpr attribute) (sympde.expr.basic.BasicForm attribute) (sympde.expr.expr.BilinearForm attribute) is_boundary_integral (sympde.expr.expr.Integral attribute) is_broken (sympde.topology.space.BasicFunctionSpace property) is_commutative (sympde.calculus.core.Bracket attribute) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div attribute) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace attribute) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.SymbolicDeterminant attribute) (sympde.calculus.matrices.SymbolicTrace attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.core.algebra.LinearOperator attribute) (sympde.core.basic.BasicMapping attribute) (sympde.exterior.calculus.Adjoint attribute) (sympde.exterior.calculus.AdjointExteriorDerivative attribute) (sympde.exterior.calculus.AdjointInteriorProduct attribute) (sympde.exterior.calculus.AdjointLieDerivative attribute) (sympde.exterior.calculus.ExteriorDerivative attribute) (sympde.exterior.calculus.ExteriorProduct attribute) (sympde.exterior.calculus.Hodge attribute) (sympde.exterior.calculus.InteriorProduct attribute) (sympde.exterior.calculus.LieDerivative attribute) (sympde.exterior.calculus.PullBack attribute) (sympde.topology.analytical_mapping.AffineMapping attribute) (sympde.topology.analytical_mapping.CollelaMapping2D attribute) (sympde.topology.analytical_mapping.CzarnyMapping attribute) (sympde.topology.analytical_mapping.IdentityMapping attribute) (sympde.topology.analytical_mapping.PolarMapping attribute) (sympde.topology.analytical_mapping.SphericalMapping attribute) (sympde.topology.analytical_mapping.TargetMapping attribute) (sympde.topology.analytical_mapping.TorusMapping attribute) (sympde.topology.analytical_mapping.TorusSurfaceMapping attribute) (sympde.topology.analytical_mapping.TwistedTargetMapping attribute) (sympde.topology.analytical_mapping.TwistedTargetSurfaceMapping attribute) (sympde.topology.derivatives.DifferentialOperator attribute) (sympde.topology.derivatives.dx attribute) (sympde.topology.derivatives.dx1 attribute) (sympde.topology.derivatives.dx2 attribute) (sympde.topology.derivatives.dx3 attribute) (sympde.topology.derivatives.dy attribute) (sympde.topology.derivatives.dz attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.InterfaceMapping attribute) (sympde.topology.mapping.InverseMapping attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.Mapping attribute) (sympde.topology.mapping.MultiPatchMapping attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.IndexedVectorFunction attribute) (sympde.topology.space.ScalarFunction attribute) (sympde.topology.space.Trace attribute) (sympde.topology.space.VectorFunction attribute) is_complex (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_composite (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_constant() (in module sympde.calculus.core) is_domain_integral (sympde.expr.expr.Integral attribute) is_even (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_extended_negative (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_extended_nonnegative (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_extended_nonpositive (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_extended_nonzero (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_extended_positive (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_extended_real (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_Function (sympde.expr.basic.BasicExpr attribute) (sympde.expr.basic.BasicForm attribute) is_functional (sympde.expr.basic.BasicExpr attribute) (sympde.expr.basic.BasicForm attribute) (sympde.expr.expr.Functional attribute) is_Identity (sympde.calculus.matrices.MatrixSymbolicExpr attribute) is_imaginary (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_Indexed (sympde.topology.space.IndexedVectorFunction attribute) is_integer (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute)

is_interface_integral (sympde.expr.expr.Integral attribute) is_irrational (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_linear (sympde.expr.basic.BasicExpr attribute) (sympde.expr.basic.BasicForm attribute) (sympde.expr.expr.LinearExpr attribute) (sympde.expr.expr.LinearForm attribute) is_linear_expression() (in module sympde.expr.expr) is_Matrix (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) is_MatrixSymbolicExpr (sympde.calculus.matrices.MatrixSymbolicExpr attribute) is_minus (sympde.topology.mapping.Mapping property) is_negative (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_noninteger (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_nonnegative (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_nonpositive (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_nonzero (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_norm (sympde.expr.basic.BasicForm attribute) (sympde.expr.expr.Norm attribute) (sympde.expr.expr.SemiNorm attribute) is_number (sympde.core.basic.Constant attribute) is_odd (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_plus (sympde.topology.mapping.Mapping property) is_positive (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_prime (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_rational (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_real (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_scalar (sympde.calculus.core.Bracket attribute) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.Div attribute) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) is_scalar() (in module sympde.calculus.core) is_sequence() (in module sympde.expr.evaluation) (in module sympde.old_sympy_utilities) is_symbol (sympde.topology.space.IndexedVectorFunction attribute) is_symmetric (sympde.expr.expr.BilinearForm property) is_transcendental (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_zero (sympde.calculus.core.Bracket property) (sympde.calculus.core.Convect attribute) (sympde.calculus.core.Cross attribute) (sympde.calculus.core.Curl attribute) (sympde.calculus.core.DiffOperator attribute) (sympde.calculus.core.Div property) (sympde.calculus.core.Dot attribute) (sympde.calculus.core.Grad attribute) (sympde.calculus.core.Hessian attribute) (sympde.calculus.core.Inner attribute) (sympde.calculus.core.Laplace property) (sympde.calculus.core.NormalDerivative attribute) (sympde.calculus.core.Outer attribute) (sympde.calculus.core.Rot attribute) (sympde.calculus.core.StrainTensor attribute) (sympde.calculus.matrices.Inverse attribute) (sympde.calculus.matrices.MatrixSymbolicExpr attribute) (sympde.calculus.matrices.MatSymbolicAbs attribute) (sympde.calculus.matrices.MatSymbolicAdd attribute) (sympde.calculus.matrices.MatSymbolicMul attribute) (sympde.calculus.matrices.MatSymbolicPow attribute) (sympde.calculus.matrices.Transpose attribute) (sympde.topology.domain.BoundaryVector attribute) (sympde.topology.domain.MinusNormalVector attribute) (sympde.topology.domain.NormalVector attribute) (sympde.topology.domain.PlusNormalVector attribute) (sympde.topology.domain.TangentVector attribute) (sympde.topology.mapping.JacobianInverseSymbol attribute) (sympde.topology.mapping.JacobianSymbol attribute) (sympde.topology.mapping.PullBack attribute) (sympde.topology.space.VectorFunction attribute) is_zero() (in module sympde.calculus.core) is_ZeroMatrix (sympde.calculus.matrices.MatrixSymbolicExpr attribute) iterable() (in module sympde.old_sympy_utilities)

J

Jacobian (class in sympde.topology.mapping) jacobian (sympde.topology.mapping.Mapping property) jacobian() (sympde.topology.callable_mapping.CallableMapping method) (sympde.topology.mapping.BasicCallableMapping method) jacobian_expr (sympde.topology.mapping.Mapping property) jacobian_inv() (sympde.topology.callable_mapping.CallableMapping method) (sympde.topology.mapping.BasicCallableMapping method)

jacobian_inv_expr (sympde.topology.mapping.Mapping property) JacobianInverseSymbol (class in sympde.topology.mapping) JacobianSymbol (class in sympde.topology.mapping) join() (sympde.topology.basic.Boundary method) (sympde.topology.domain.Domain class method) jp (in module sympde.exterior.calculus) Jump (class in sympde.calculus.core) jump (in module sympde.calculus.core)

K

KernelExpression (class in sympde.expr.evaluation) kind (sympde.expr.expr.Norm property) (sympde.expr.expr.SemiNorm property) (sympde.topology.mapping.PullBack property) (sympde.topology.space.BasicFunctionSpace property) (sympde.topology.space.Projector property)

L

L2RegularityType (class in sympde.topology.datatype) L2SpaceType (class in sympde.topology.datatype) label (sympde.core.basic.Constant property) lambdify_sympde() (in module sympde.utilities.utils) Laplace (class in sympde.calculus.core) laplace (in module sympde.calculus.core) Laplace_1d (class in sympde.topology.derivatives) Laplace_2d (class in sympde.topology.derivatives) Laplace_3d (class in sympde.topology.derivatives) LaplaceBasic (class in sympde.topology.derivatives) latex() (in module sympde.printing.latex) LatexPrinter (class in sympde.printing.latex) Ld (in module sympde.exterior.calculus) ld (in module sympde.exterior.calculus) ldim (sympde.expr.basic.BasicForm property) (sympde.expr.expr.BilinearForm property) (sympde.expr.expr.LinearForm property) (sympde.topology.callable_mapping.CallableMapping property) (sympde.topology.mapping.BasicCallableMapping property) (sympde.topology.mapping.Mapping property) (sympde.topology.mapping.MultiPatchMapping property) (sympde.topology.space.BasicFunctionSpace property) (sympde.topology.space.IndexedVectorFunction property) (sympde.topology.space.ProductSpace property) (sympde.topology.space.ScalarFunction property) (sympde.topology.space.VectorFunction property) lhs (sympde.expr.equation.Equation property) (sympde.expr.equation.EssentialBC property) (sympde.expr.equation.Mean property) LieDerivative (class in sympde.exterior.calculus) Line (class in sympde.topology.domain)

LinearExpr (class in sympde.expr.expr) LinearForm (class in sympde.expr.expr) linearize() (in module sympde.expr.expr) LinearOperator (class in sympde.core.algebra) logical (sympde.topology.derivatives.DifferentialOperator attribute) (sympde.topology.derivatives.dx1 attribute) (sympde.topology.derivatives.dx2 attribute) (sympde.topology.derivatives.dx3 attribute) logical_coordinates (sympde.topology.mapping.Mapping property) logical_domain (sympde.topology.basic.Boundary property) (sympde.topology.basic.CornerBoundary property) (sympde.topology.basic.CornerInterface property) (sympde.topology.basic.Interface property) (sympde.topology.basic.InteriorDomain property) (sympde.topology.domain.Domain property) LogicalBracket_2d (class in sympde.topology.derivatives) LogicalCurl_2d (class in sympde.topology.derivatives) LogicalCurl_3d (class in sympde.topology.derivatives) LogicalDiv_1d (class in sympde.topology.derivatives) LogicalDiv_2d (class in sympde.topology.derivatives) LogicalDiv_3d (class in sympde.topology.derivatives) LogicalExpr (class in sympde.topology.mapping) LogicalGrad_1d (class in sympde.topology.derivatives) LogicalGrad_2d (class in sympde.topology.derivatives) LogicalGrad_3d (class in sympde.topology.derivatives) LogicalHessian_1d (class in sympde.topology.derivatives) LogicalHessian_2d (class in sympde.topology.derivatives) LogicalHessian_3d (class in sympde.topology.derivatives) LogicalLaplace_1d (class in sympde.topology.derivatives) LogicalLaplace_2d (class in sympde.topology.derivatives) LogicalLaplace_3d (class in sympde.topology.derivatives) LogicalRot_2d (class in sympde.topology.derivatives)

M

MappedDomain (class in sympde.topology.mapping) Mapping (class in sympde.topology.mapping) mapping (sympde.topology.basic.Boundary property) (sympde.topology.basic.Interface property) (sympde.topology.basic.InteriorDomain property) (sympde.topology.domain.Domain property) (sympde.topology.mapping.JacobianInverseSymbol property) (sympde.topology.mapping.JacobianSymbol property) MappingApplication (class in sympde.topology.mapping) mappings (sympde.topology.domain.Domain property) (sympde.topology.mapping.MultiPatchMapping property) Mass (class in sympde.expr.evaluation) math_symbol (sympde.exterior.calculus.ExteriorProduct property) MatrixElement (class in sympde.calculus.matrices) MatrixSymbolicExpr (class in sympde.calculus.matrices) MatSymbolicAbs (class in sympde.calculus.matrices) MatSymbolicAdd (class in sympde.calculus.matrices) MatSymbolicMul (class in sympde.calculus.matrices) MatSymbolicPow (class in sympde.calculus.matrices) max_coords (sympde.topology.domain.NCube property) (sympde.topology.domain.NCubeInterior property) Mean (class in sympde.expr.equation) Measure (class in sympde.topology.measure) metric() (sympde.topology.callable_mapping.CallableMapping method) (sympde.topology.mapping.BasicCallableMapping method) metric_det() (sympde.topology.callable_mapping.CallableMapping method) (sympde.topology.mapping.BasicCallableMapping method) metric_det_expr (sympde.topology.mapping.Mapping property) metric_expr (sympde.topology.mapping.Mapping property) min_coords (sympde.topology.domain.NCube property) (sympde.topology.domain.NCubeInterior property) minus (in module sympde.calculus.core) (sympde.topology.basic.Interface property) (sympde.topology.mapping.InterfaceMapping property) MinusInterfaceOperator (class in sympde.calculus.core) MinusNormalVector (class in sympde.topology.domain) module sympde sympde.calculus sympde.calculus.core sympde.calculus.errors sympde.calculus.matrices sympde.core sympde.core.algebra sympde.core.basic sympde.core.utils sympde.expr sympde.expr.basic sympde.expr.equation sympde.expr.errors sympde.expr.evaluation sympde.expr.expr sympde.exterior sympde.exterior.calculus sympde.exterior.compiler sympde.exterior.datatype sympde.exterior.form sympde.exterior.inference sympde.old_sympy_utilities sympde.printing sympde.printing.latex sympde.topology sympde.topology.analytical_mapping sympde.topology.basic sympde.topology.callable_mapping sympde.topology.datatype sympde.topology.derivatives sympde.topology.domain sympde.topology.mapping sympde.topology.measure sympde.topology.space sympde.utilities sympde.utilities.utils sympde.version

mul_add() (in module sympde.expr.expr) mul_integral() (in module sympde.expr.expr) MultiPatchMapping (class in sympde.topology.mapping)

N

name (sympde.core.algebra.CrossBasic attribute) (sympde.core.algebra.DotBasic attribute) (sympde.core.algebra.InnerBasic attribute) (sympde.core.algebra.LinearOperator attribute) (sympde.core.basic.Constant attribute) (sympde.expr.evaluation.Basic1dForm property) (sympde.exterior.calculus.PullBack property) (sympde.exterior.datatype.FormType property) (sympde.exterior.form.DifferentialForm attribute) (sympde.topology.basic.BasicDomain property) (sympde.topology.basic.Boundary property) (sympde.topology.basic.Edge property) (sympde.topology.basic.Interface property) (sympde.topology.basic.InteriorDomain property) (sympde.topology.basic.Interval property) (sympde.topology.datatype.H1SpaceType attribute) (sympde.topology.datatype.HcurlSpaceType attribute) (sympde.topology.datatype.HdivSpaceType attribute) (sympde.topology.datatype.L2SpaceType attribute) (sympde.topology.datatype.RegularityType property) (sympde.topology.datatype.UndefinedSpaceType attribute) (sympde.topology.derivatives.Bracket_2d attribute) (sympde.topology.derivatives.CrossBasic attribute) (sympde.topology.derivatives.CurlBasic attribute) (sympde.topology.derivatives.DivBasic attribute) (sympde.topology.derivatives.DotBasic attribute) (sympde.topology.derivatives.GradBasic attribute) (sympde.topology.derivatives.HessianBasic attribute) (sympde.topology.derivatives.LaplaceBasic attribute) (sympde.topology.derivatives.LogicalBracket_2d attribute) (sympde.topology.derivatives.LogicalRot_2d attribute) (sympde.topology.derivatives.Rot_2d attribute) (sympde.topology.domain.Domain property) (sympde.topology.mapping.Mapping property) (sympde.topology.space.BasicFunctionSpace property) (sympde.topology.space.ProductSpace property) (sympde.topology.space.ScalarFunction attribute) (sympde.topology.space.VectorFunction attribute)

nargs (sympde.core.algebra.CrossBasic attribute) (sympde.core.algebra.DotBasic attribute) (sympde.core.algebra.InnerBasic attribute) (sympde.core.algebra.LinearOperator attribute) (sympde.exterior.calculus.Adjoint attribute) (sympde.exterior.calculus.AdjointExteriorDerivative attribute) (sympde.exterior.calculus.AdjointInteriorProduct attribute) (sympde.exterior.calculus.AdjointLieDerivative attribute) (sympde.exterior.calculus.ExteriorDerivative attribute) (sympde.exterior.calculus.ExteriorProduct attribute) (sympde.exterior.calculus.Hodge attribute) (sympde.exterior.calculus.InteriorProduct attribute) (sympde.exterior.calculus.LieDerivative attribute) (sympde.exterior.calculus.PullBack attribute) (sympde.topology.derivatives.Bracket_2d attribute) (sympde.topology.derivatives.CrossBasic attribute) (sympde.topology.derivatives.CurlBasic attribute) (sympde.topology.derivatives.DivBasic attribute) (sympde.topology.derivatives.DotBasic attribute) (sympde.topology.derivatives.GradBasic attribute) (sympde.topology.derivatives.HessianBasic attribute) (sympde.topology.derivatives.LaplaceBasic attribute) (sympde.topology.derivatives.LogicalBracket_2d attribute) (sympde.topology.derivatives.LogicalRot_2d attribute) (sympde.topology.derivatives.Rot_2d attribute) (sympde.topology.mapping.MappingApplication attribute) NCube (class in sympde.topology.domain) NCubeInterior (class in sympde.topology.domain) NewtonIteration (class in sympde.expr.equation) Norm (class in sympde.expr.expr) normal_component (sympde.expr.equation.EssentialBC property) NormalDerivative (class in sympde.calculus.core) NormalVector (class in sympde.topology.domain) NotIterable (class in sympde.old_sympy_utilities)

O

OneFormType (class in sympde.exterior.datatype) order (sympde.expr.equation.EssentialBC property) (sympde.topology.space.Trace property)

ornt (sympde.topology.basic.Interface property) Outer (class in sympde.calculus.core) outer (in module sympde.calculus.core)

P

params (sympde.topology.callable_mapping.CallableMapping property) patches (sympde.topology.basic.Connectivity property) pdim (sympde.topology.callable_mapping.CallableMapping property) (sympde.topology.mapping.BasicCallableMapping property) (sympde.topology.mapping.Mapping property) (sympde.topology.mapping.MultiPatchMapping property) PeriodicDomain (class in sympde.topology.domain) periods (sympde.topology.domain.PeriodicDomain property) plot_2d() (in module sympde.utilities.utils) plot_2d_single_patch() (in module sympde.utilities.utils) plot_3d() (in module sympde.utilities.utils) plot_3d_single_patch() (in module sympde.utilities.utils) plot_domain() (in module sympde.utilities.utils) plus (in module sympde.calculus.core) (sympde.topology.basic.Interface property) (sympde.topology.mapping.InterfaceMapping property)

PlusInterfaceOperator (class in sympde.calculus.core) PlusNormalVector (class in sympde.topology.domain) PolarMapping (class in sympde.topology.analytical_mapping) position (sympde.expr.equation.EssentialBC property) ProductDomain (class in sympde.topology.basic) ProductSpace (class in sympde.topology.space) Projection (class in sympde.topology.space) projection_of (sympde.topology.space.ScalarFunction property) (sympde.topology.space.VectorFunction property) Projector (class in sympde.topology.space) projector (sympde.topology.space.Projection property) PullBack (class in sympde.exterior.calculus) (class in sympde.topology.mapping)

R

random_string() (in module sympde.core.utils) regularity (sympde.topology.space.BasicFunctionSpace property) RegularityType (class in sympde.topology.datatype) rhs (sympde.expr.equation.Equation property) (sympde.expr.equation.EssentialBC property) (sympde.expr.equation.Mean property)

Rot (class in sympde.calculus.core) rot (in module sympde.calculus.core) Rot_2d (class in sympde.topology.derivatives) rotate() (sympde.topology.basic.Boundary method)

S

ScalarFunction (class in sympde.topology.space) ScalarFunctionSpace (class in sympde.topology.space) SemiNorm (class in sympde.expr.expr) set_as_projection() (sympde.topology.space.ScalarFunction method) (sympde.topology.space.VectorFunction method) set_callable_mapping() (sympde.topology.mapping.Mapping method) set_interfaces() (sympde.topology.domain.Domain method) set_plus_minus() (sympde.topology.mapping.Mapping method) set_position() (sympde.expr.equation.EssentialBC method) shape (sympde.topology.space.BasicFunctionSpace property) (sympde.topology.space.Derham property) (sympde.topology.space.ProductSpace property) (sympde.topology.space.VectorFunction property) SixFormType (class in sympde.exterior.datatype) sort_partial_derivatives() (in module sympde.topology.derivatives) space (sympde.calculus.core.MinusInterfaceOperator property) (sympde.calculus.core.PlusInterfaceOperator property) (sympde.expr.expr.Functional property) (sympde.topology.space.IndexedVectorFunction property) (sympde.topology.space.Projector property) (sympde.topology.space.ScalarFunction property) (sympde.topology.space.VectorFunction property) spaces (sympde.topology.space.Derham property) (sympde.topology.space.ProductSpace property) SpaceType (class in sympde.topology.datatype) SphericalMapping (class in sympde.topology.analytical_mapping) split() (in module sympde.topology.domain) Square (class in sympde.topology.domain) Stiffness (class in sympde.expr.evaluation) StrainTensor (class in sympde.calculus.core) subdomains (sympde.topology.domain.Domain property) subs_boundary_expr() (sympde.expr.expr.Integral class method) symbolic_mapping (sympde.topology.callable_mapping.CallableMapping property) SymbolicDeterminant (class in sympde.calculus.matrices) SymbolicExpr (class in sympde.topology.mapping) SymbolicTrace (class in sympde.calculus.matrices) SymbolicWeightedVolume (class in sympde.topology.mapping) sympde module sympde.calculus module sympde.calculus.core module sympde.calculus.errors module sympde.calculus.matrices module sympde.core module sympde.core.algebra module sympde.core.basic module sympde.core.utils module

sympde.expr module sympde.expr.basic module sympde.expr.equation module sympde.expr.errors module sympde.expr.evaluation module sympde.expr.expr module sympde.exterior module sympde.exterior.calculus module sympde.exterior.compiler module sympde.exterior.datatype module sympde.exterior.form module sympde.exterior.inference module sympde.old_sympy_utilities module sympde.printing module sympde.printing.latex module sympde.topology module sympde.topology.analytical_mapping module sympde.topology.basic module sympde.topology.callable_mapping module sympde.topology.datatype module sympde.topology.derivatives module sympde.topology.domain module sympde.topology.mapping module sympde.topology.measure module sympde.topology.space module sympde.utilities module sympde.utilities.utils module sympde.version module

T

T (sympde.calculus.matrices.MatrixSymbolicExpr property) TangentVector (class in sympde.topology.domain) target (sympde.expr.evaluation.KernelExpression property) (sympde.topology.basic.InteriorDomain property) TargetMapping (class in sympde.topology.analytical_mapping) TensorExpr (class in sympde.expr.evaluation) TerminalExpr (class in sympde.expr.evaluation) test (sympde.expr.evaluation.InterfaceExpression property) (sympde.topology.mapping.PullBack property) test_functions (sympde.expr.equation.Equation property) (sympde.expr.expr.BilinearForm property) (sympde.expr.expr.LinearForm property) test_spaces (sympde.expr.expr.BilinearForm property) (sympde.expr.expr.LinearForm property) ThreeFormType (class in sympde.exterior.datatype) todict() (sympde.topology.basic.Boundary method) (sympde.topology.basic.Connectivity method) (sympde.topology.basic.InteriorDomain method) (sympde.topology.basic.Union method) (sympde.topology.domain.Domain method)

TorusMapping (class in sympde.topology.analytical_mapping) TorusSurfaceMapping (class in sympde.topology.analytical_mapping) Trace (class in sympde.topology.space) trace() (sympde.calculus.matrices.MatrixSymbolicExpr method) trace_0() (in module sympde.topology.space) trace_1() (in module sympde.topology.space) Transpose (class in sympde.calculus.matrices) transpose() (sympde.calculus.matrices.MatrixSymbolicExpr method) trial (sympde.expr.evaluation.InterfaceExpression property) trial_functions (sympde.expr.equation.Equation property) (sympde.expr.expr.BilinearForm property) trial_spaces (sympde.expr.expr.BilinearForm property) TwistedTargetMapping (class in sympde.topology.analytical_mapping) TwistedTargetSurfaceMapping (class in sympde.topology.analytical_mapping) TwoFormType (class in sympde.exterior.datatype)

U

UnconsistentArgumentsError UnconsistentBCError UnconsistentError UnconsistentLhsError

UnconsistentLinearExpressionError UnconsistentRhsError UndefinedSpaceType (class in sympde.topology.datatype) Union (class in sympde.topology.basic)

V

V0 (sympde.topology.space.Derham property) V1 (sympde.topology.space.Derham property) V2 (sympde.topology.space.Derham property) V3 (sympde.topology.space.Derham property) variable (sympde.expr.equation.EssentialBC property)

variables (sympde.expr.expr.BilinearForm property) (sympde.expr.expr.LinearExpr property) (sympde.expr.expr.LinearForm property) VectorFunction (class in sympde.topology.space) VectorFunctionSpace (class in sympde.topology.space)

W

wedge (in module sympde.exterior.calculus)

weight (sympde.expr.evaluation.Basic1dForm property) with_metaclass() (in module sympde.old_sympy_utilities)

Z

ZeroFormType (class in sympde.exterior.datatype)