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emmy.calculus.derivative

This namespace implements a number of differential operators like D, and the machinery to apply D to various structures.

This namespace implements a number of differential operators like [[D]], and
the machinery to apply [[D]] to various structures.
raw docstring

emmy.calculus.form-field

This namespace implements a form field operator and a number of functions for creating and working with form fields.

A form-field of rank n is an operator that takes n vector fields to a real-valued function on the manifold. A one-form field takes a single vector field.

The namespace also contains two definitions of the wedge product (alt-wedge is the second), plus the exterior-derivative.

This namespace implements a form field operator and a number of functions for
creating and working with form fields.

A form-field of rank n is an operator that takes n vector fields to a
real-valued function on the manifold. A one-form field takes a single vector
field.

The namespace also contains two definitions of the [[wedge]]
product ([[alt-wedge]] is the second), plus the [[exterior-derivative]].
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emmy.calculus.indexed

This namespace implements minimal support for indexed objects and typed functions.

This namespace implements minimal support for indexed objects and typed
functions.
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emmy.calculus.manifold

This namespace defines a functional API for:

  • differentiable manifolds (both manifold families like Rn and manifolds specialized to a concrete dimension)
  • manifold points
  • coordinate patches

As well as a whole bunch of defined manifolds and coordinate systems for exploration and fun!

This namespace defines a functional API for:

- differentiable manifolds (both manifold families like [[Rn]] and manifolds
  specialized to a concrete dimension)
- manifold points
- coordinate patches

As well as a whole bunch of defined manifolds and coordinate systems for
exploration and fun!
raw docstring

emmy.calculus.vector-calculus

This namespace contains vector calculus operators, in versions built on top of derivative/D and in Functional Differential Geometry style.

The former transform functions of scalars or vectors, while the latter take a metric and basis.

This namespace contains vector calculus operators, in versions built on top
of [[derivative/D]] _and_ in Functional Differential Geometry style.

The former transform functions of scalars or vectors, while the latter take a
metric and basis.
raw docstring

emmy.calculus.vector-field

This namespace implements a vector field operator and a number of functions for creating and working with vector fields.

A vector field is an operator that takes a smooth real-valued function of a manifold and produces a new function on the manifold which computes the directional derivative of the given function at each point of the manifold.

This namespace implements a vector field operator and a number of functions for
creating and working with vector fields.

A vector field is an operator that takes a smooth real-valued function of a
manifold and produces a new function on the manifold which computes the
directional derivative of the given function at each point of the manifold.
raw docstring

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