Definition:Antiperiodic Function/Antiperiod
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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.