# Category:Periodic Functions

This category contains results about Periodic Functions.
Definitions specific to this category can be found in Definitions/Periodic Functions.

### Periodic Real Function

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

Then $f$ is periodic if and only if:

$\exists L \in \R_{\ne 0}: \forall x \in \R: \map f x = \map f {x + L}$

### Periodic Complex Function

Let $f: \C \to \C$ be a complex function.

Then $f$ is periodic if and only if:

$\exists L \in \C_{\ne 0}: \forall x \in \C: f \left({x}\right) = f \left({x + L}\right)$

## Subcategories

This category has the following 3 subcategories, out of 3 total.

## Pages in category "Periodic Functions"

The following 13 pages are in this category, out of 13 total.