Overview - Maple Help

Online Help

All Products    Maple    MapleSim


Overview of the Tools package

 

Description

List of the Tools commands

Description

• 

The DifferentialGeometry:-Tools sub-package contains a number of utility procedures which are used primarily in the development of new DifferentialGeometry applications.

• 

Each of the commands in the DifferentialGeometry:-Tools package can only be accessed by first executing with(DifferentialGeometry) and with(Tools), in that order or by using the long form of the command DifferentialGeometry:-Tools:-Command(...).

List of the Tools commands

The following is a list of available commands.

&MatrixMinus

&MatrixMult

&MatrixPlus

&MatrixWedge

CalculationHistory

CanonicalBasis

DGbiform

DGform

DGinfo

DGmain

DGmap

DGscalar

DGsimplify

DGtensor

DGvector

DGvolume

DGzero

Divergence

DGequal

GenerateForms

IdentityTransformation

A brief description of the package's commands is as follows.

• 

&MatrixMinus: subtract two Matrices or Vectors of vector fields, differential forms, or tensors.

• 

&MatrixMult: multiply a Matrix of vectors, differential forms or tensors by a scalar or by a Matrix of scalars.

• 

&MatrixPlus: add two Matrices or Vectors of vector fields, differential forms, or tensors.

• 

&MatrixWedge: calculate the Matrix wedge product of two Matrices/Vectors of differential forms.

• 

CalculationHistory: a module to store and retrieve important intermediate computations.

• 

CanonicalBasis: calculate a standard basis for a subspace of vectors, forms, or tensors.

• 

DGbiform: create a monomial bi-form.

• 

DGform: create a monomial form.

• 

DGinfo: obtain information about a DifferentialGeometry object.

• 

DGmain: a module containing fast versions of some DifferentialGeometry procedures.

• 

DGmap: apply a procedure to the coefficients of a vector, differential form or tensor.

• 

DGscalar: create a degree 0 differential form or a rank 0 tensor.

• 

DGsimplify: simplify a vector, differential form, or tensor.

• 

DGtensor: create a monomial tensor.

• 

DGvector: create a monomial vector.

• 

DGvolume: create a top degree differential form.

• 

DGzero: create a zero vector, differential form, or tensor.

• 

Divergence: calculate the divergence of a vector field.

• 

DGequal: test if two DifferentialGeometry objects are equal.

• 

GenerateForms: create a list of differential forms.

• 

IdentityTransformation: define the identity transformation on a manifold.

See Also

DifferentialGeometry

GroupActions

JetCalculus

Library

LieAlgebras

Tensor