dimensions: Dimensions in this package

dimensionsR Documentation

Dimensions in this package

Description

'calcGeomPar' calculates geometric parameter. 'calcIntDim' calculates the intrinsic dimensions. 'calcAmbDim' calculates the ambient dimensions. 'calcTanDim' calculates the number of tuples used to represent a tangent vector.

Usage

calcGeomPar(mfd, dimAmbient, dimIntrinsic, dimTangent)

calcIntDim(mfd, geomPar, dimAmbient, dimTangent)

calcAmbDim(mfd, geomPar, dimIntrinsic, dimTangent)

calcTanDim(mfd, geomPar, dimAmbient, dimIntrinsic)

Arguments

mfd

A manifold object created by createM

dimAmbient

Dimension of the ambient space.

dimIntrinsic

Intrinsic dimension of the manifold.

dimTangent

The length of a tangent vector

geomPar

The geometric parameter (e.g., SO(*))

Value

A scalar value for the geometric parameter

A scalar value for the intrinsic dimension

A scalar value for the ambient dimension

A scalar value for the number of components in the (implementation of the) tangent vector


manifold documentation built on Oct. 4, 2022, 5:06 p.m.