“Antisymmetric Tensor”的概念、定义、习题解题方法及翻译-数学辞典

单词

Antisymmetric Tensor

释义

Antisymmetric Tensor

An antisymmetric tensor is defined as a Tensor for which

(1)

Any Tensor can be written as a sum of Symmetric and antisymmetric parts as

(2)

The antisymmetric part is sometimes denoted using the special notation

(3)

For a general Tensor,

(4)

where

is the Levi-Civita Symbol, a.k.a. the Permutation Symbol.

See also Symmetric Tensor

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