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Re:Decomposing a function into its even and odd parts by kmm on Saturday July 30, 2016 @05:56PM (#12194840)
Neat :) I had almost the same idea when I was trying to figure out whether every matrix is the sum of a symmetric and an asymmetric matrix.

The decomposition being very similar: A = (A + A')/2 + (A - A')/2, with ' denoting the transpose.

Re:Decomposing a function into its even and odd parts by tamana on Saturday July 30, 2016 @11:26PM (#12195614)
*antisymmetric

The matrix problem is of course a special case of the same problem, where the domain is the matrix indices, labelled with (0,0) as the middle of the matrix.