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Symmetry may refer to:

$\map f {x_1, x_2, \dotsc, x_n} = \map f {x_{\map \pi 1}, x_{\map \pi 2}, \dotsc x_{\map \pi n} }$ for all permuations $\pi$ on $\set {1, 2, \dotsc n}$

Linguistic Note

The word symmetry comes from Greek συμμετρεῖν (symmetría) meaning measure together.