Definition:Periodic Real Function/Frequency
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Definition
Let $f: \R \to \R$ be a periodic real function.
The frequency $\nu$ of $f$ is the reciprocal of the period $L$ of $f$:
- $\nu = \dfrac 1 L$
where:
- $\forall x \in X: \map f x = \map f {x + L}$
Also denoted as
In some contexts, the frequency of a periodic real function is given by the letter $f$, but as this letter is also used for the general function, this can be seen often to be inadequate.
Also see
- Results about the frequency of a periodic real function can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): frequency: 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): frequency: 1.