 Antisymmetric second-rank tensor (source code)

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= Antisymmetric second-rank tensor

A second-rank Cartesian tensor is antisymmetric when its components form a <skew-symmetric matrix>, $T_{ij}=-T_{ji}$. Orthogonal coordinate changes preserve this property because $T'=RTR^T$ implies $(T')^T=RT^TR^T=-T'$.

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