dovs

A \(k\)-form \(\omega\in\Lambda^k(V)\) maps
\(V^k\) to the reals, where \(V=\mathbb{R}^n\).
Function <code>dovs()</code> returns \(n\), the dimensionality of the
underlying vector space. The function itself is almost trivial,
returning the maximum of the index matrix.
Special dispensation is given for zero-forms and zero tensors, which
return zero.
Vignette <code>dovs</code> provides more discussion.

Provides functionality for working with tensors, alternating
forms, wedge products, Stokes's theorem, and related concepts
from the exterior calculus. Uses 'disordR' discipline
(Hankin, 2022, <doi:10.48550/ARXIV.2210.03856>). The
canonical reference would be M. Spivak
(1965, ISBN:0-8053-9021-9) "Calculus on Manifolds". To cite
the package in publications please use Hankin (2022)
<doi:10.48550/ARXIV.2210.17008>.

Robin K S Hankin

stokes

The Exterior Calculus

dovs function

<dl>
<dt>K</dt>
<dd>A \(k\)-form or \(k\)-tensor</dd>
</dl>

Arguments

Author

A \(k\)-form \(\omega\in\Lambda^k(V)\) maps
\(V^k\) to the reals, where \(V=\mathbb{R}^n\).
Function <code>dovs()</code> returns \(n\), the dimensionality of the
underlying vector space. The function itself is almost trivial,
returning the maximum of the index matrix.
Special dispensation is given for zero-forms and zero tensors, which
return zero.
Vignette <code>dovs</code> provides more discussion.

dovs: Dimension of the underlying vector space

Description

Usage

Value

Arguments

Author

Examples