CanonicalSimplex: Internal functions for defining/working with simplices.

Description

These are utility functions that are useful when defining/working with simplices in n-dimensional space.

Usage

CanonicalSimplex(n)
UnitSimplex(n)
SimplexVolume(S)
JacobianS2Canonical(S2)

Arguments

Value

Let e[j] be the j-th standard unit basis vector. CanonicalSimplex(n) gives the simplex with columns being vertices of the canonical simplex in n-dimensions: the n-dim. simplex with vertices (0,0,...,0) and e[1],...,e[n]. A vector (u[1],...,u[n]) is in the canonical simplex if 0

Examples

Run this code

CanonicalSimplex(3)
UnitSimplex(3)
SimplexVolume( CanonicalSimplex(3) )  
JacobianS2Canonical( UnitSimplex(3) )

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