Definition:Antiperiodic Function/Real

Definition
Let $f: \R \to \R$ be a real function.

Then $f$ is anti-periodic :
 * $\exists L \in \R_{\ne 0}: \forall x \in \R: -f \left({x}\right) = f \left({x + L}\right)$

Also see

 * General Antiperiodicity Property