New Analytical Expressions for the Levi-Civita Symbol and Its Treatment as a Generalized Function
General Mathematics
2021-10-14 v5
Abstract
New analytical expressions are found for the Levi-Civita symbol using the Kronecker delta symbol. The expressions are derived up to 3 dimensions, extended to higher dimensions, and confirmed in Matlab for 5 dimensions. The expressions can be re-cast in terms of elementary and/or special functions, which lead to the conclusion that the Levi-Civita Symbol can be treated as a generalized, discrete function
Keywords
Cite
@article{arxiv.2109.01700,
title = {New Analytical Expressions for the Levi-Civita Symbol and Its Treatment as a Generalized Function},
author = {W. Astar},
journal= {arXiv preprint arXiv:2109.01700},
year = {2021}
}
Comments
This is the 5th version of the manuscript, and wholly supersedes the previous versions. In the previous versions, the generalized function G was sometimes confused with the epsilon itself. In this (fifth) version, it is clarified that G is merely a function used in alternative expressions of the epsilon