Definition:Antiperiodic Function/Antiperiod

Definition

Let $f: X \to X$ be an antiperiodic function, where $X$ is either $\R$ or $\C$.

The antiperiod of $f$ is the smallest value $\cmod L \in \R_{\ne 0}$ such that:

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

where $\cmod L$ is the modulus of $L$.

Also known as

The name can also be rendered with a hyphen: anti-period.