# Category:Replicative Functions

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This category contains results about **Replicative Functions**.

A **replicative function** is a real function $f$ such that:

- $\ds \forall n \in \Z_{\ge 0}: \sum_{k \mathop = 0}^{n - 1} \map f {x + \frac k n} = \map f {n x}$

where $\sum$ denotes indexed summation.

## Subcategories

This category has only the following subcategory.

## Pages in category "Replicative Functions"

The following 10 pages are in this category, out of 10 total.