What are some examples of a symmetric function?

1 Answer
George C.
Jul 15, 2015

f(x, y) = x^2 + xy + y^2
g(x, y, z) = xy + yz + zx + 1/(x^2+y^2+z^2)

Explanation:

A symmetric function is a function in several variable which remains unchanged for any permutation of the variables.

For example, if f(x, y) = x^2 + xy + y^2, then f(y, x) = f(x, y) for all x and y.

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