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Iterated function
Definition
$ f:X\to X $ |
$ n\in \mathbb N, n\neq 0 $ |
$ f^n $ |
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$ f^1=f $ |
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$ f^{n}=f\circ f^{n-1} $ |
Ramifications
Predicates
We call a function idempotent if $f^2=f$. We say it's an involution if $f^2=\text{id}$.