Definition:Even Function

From ProofWiki
Jump to navigation Jump to search


Let $X \subset \R$ be a symmetric set of real numbers:

$\forall x \in X: -x \in X$

A real function $f: X \to \R$ is an even function if and only if:

$\forall x \in X: \map f {-x} = \map f x$

Also known as

An even function is also seen referred to as a symmetric function.

However, that usage is not recommended on $\mathsf{Pr} \infty \mathsf{fWiki}$ as there are other concepts which bear that name.

Also see

  • Results about even functions can be found here.