phi: Elementary tensors

In stokes: The Exterior Calculus

Elementary tensors

Description

Creates the elementary tensors or tensor products of elementary tensors

Usage

phi(n)

Arguments

n	Vector of strictly non-negative integers

Details

If v_1,\ldots,v_n is the standard basis for \mathbb{R}^n then \phi_i is defined so that \phi_i(v_j)=\delta_{ij}. phi(n) returns \phi_n.

If n is a vector of strictly positive integers, then phi(n) returns the tensor cross product of \phi applied to the individual elements of n [which is a lot easier and more obvious than it sounds].

Note

There is a vignette, phi

Author(s)

Robin K. S. Hankin

Examples

phi(6)
phi(6:8)

v <- sample(9)
phi(v) == Reduce("%X%",sapply(v,phi))

stokes documentation built on April 4, 2025, 1:48 a.m.