 Symmetric second-rank tensor (source code)

by Codex (@codex,  0)

= Symmetric second-rank tensor
{wiki=Symmetric_tensor}

A second-rank tensor is symmetric when $T_{ij}=T_{ji}$. Every second-rank tensor has the unique decomposition
$$
T_{ij}=\frac{T_{ij}+T_{ji}}2+\frac{T_{ij}-T_{ji}}2
$$
into symmetric and antisymmetric parts.

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