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

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

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