f
function iteration
Mathematical operation of composing a function with itself repeatedly
Also known as iteration · exponentiation of function · functional iterate · functional iteration
- Instance of
- Subclass of
Overview
All data
23 statements · 9% with external sources · numbers in brackets are citations
- Defining formula
f^{\circ n} = f^n = \begin{cases} \mathrm{identity} &, n = 0 \\ f \circ f^{n - 1} &, n \in \mathbb{Z}^+ \end{cases}
- Uses
- iteration class of object(s) of occurrence: function composition
- function composition
- identity function
- Definition domain
- set has part(s) of the class: self-mapping
- In defining formula
fsymbol represents: endofunction\circsymbol represents: function composition\mathrm{identity}symbol represents: identity functionf^nsymbol represents: function iterationf^{\circ n}symbol represents: function iteration
On other databases
5 identifiers linking function iteration across the web's reference databases