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JetCalculus

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DifferentialGeometry/JetCalculus/AssignTransformationType
assign a type (one of projectable, point, contact, differential substitution, generalized differential substitution, generic) to a transformation

DifferentialGeometry/JetCalculus/AssignVectorType
assign a type (one of contact, evolutionary, generalized, generic, point, projectable, total) to a vector field

DifferentialGeometry/JetCalculus/DifferentialEquationData
create a data structure for a system of differential equations

DifferentialGeometry/JetCalculus/EulerLagrange
calculate the Euler-Lagrange equations for a Lagrangian

DifferentialGeometry/JetCalculus/EvolutionaryVector
form the evolutionary part of a vector field

DifferentialGeometry/JetCalculus/GeneralizedLieBracket
find the Lie bracket of two generalized vector fields

DifferentialGeometry/JetCalculus/GeneratingFunctionToContactVector
find the contact vector field defined by a generating function

DifferentialGeometry/JetCalculus/HigherEulerOperators
apply the higher Euler operators to a function or a differential bi-form

DifferentialGeometry/JetCalculus/HorizontalExteriorDerivative
calculate the horizontal exterior derivative of a bi-form on a jet space

DifferentialGeometry/JetCalculus/HorizontalHomotopy
apply the horizontal homotopy operator to a bi-form on a jet space

DifferentialGeometry/JetCalculus/IntegrationByParts
apply the integration by parts operator to a differential bi-form

DifferentialGeometry/JetCalculus/Noether
find the conservation law for the Euler-Lagrange equations from a given symmetry of the Lagrangian

DifferentialGeometry/JetCalculus/ProjectedPullback
pullback a differential bi-form of type (r, s) by a transformation to a differential bi-form of type (r, s)

DifferentialGeometry/JetCalculus/ProjectionTransformation
construct the canonical projection map between jet spaces of a fiber bundle

DifferentialGeometry/JetCalculus/Prolong
prolong a jet space, vector field, transformation, or differential equation to a higher order jet space

DifferentialGeometry/JetCalculus/PushforwardTotalVector
push forward a total vector field by a transformation

DifferentialGeometry/JetCalculus/TotalDiff
take the total derivative of an expression, a differential form or a contact form

DifferentialGeometry/JetCalculus/TotalJacobian
find the Jacobian of a transformation using total derivatives

DifferentialGeometry/JetCalculus/TotalVector
form the total part of a vector field

DifferentialGeometry/JetCalculus/VerticalExteriorDerivative
calculate the vertical exterior derivative of a bi-form on a jet space

DifferentialGeometry/JetCalculus/VerticalHomotopy
apply the vertical homotopy operator to a bi-form on a jet space


DifferentialGeometry/JetCalculus
Overview of the JetCalculus package

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