请输入您要查询的字词:

 

单词 Permutation Tensor
释义

Permutation Tensor

A Pseudotensor which is Antisymmetric under the interchange of any two slots. Recalling the definition of thePermutation Symbol in terms of a Scalar Triple Product of the Cartesian unit vectors,

(1)

the pseudotensor is a generalization to an arbitrary Basis defined by
(2)
(3)

where


(4)

and , where is the Metric Tensor. is Nonzero Iff the Vectors are Linearly Independent.

See also Permutation Symbol, Scalar Triple Product
随便看

 

数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/2/22 5:26:12