A mathematical object is said to be symmetric if it is invariant ("looks the same") under a symmetry transformation.

A function, matrix, etc., is symmetric if it remains unchanged in sign when indices are reversed. For example, A_(ij)=a_i+a_j is symmetric since A_(ij)=A_(ji).

See also

Antisymmetric, Symmetric Function, Symmetry

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Cite this as:

Weisstein, Eric W. "Symmetric." From MathWorld--A Wolfram Web Resource.

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