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“object” instead of “number” in the very first paragraph, because an iterated function can be applied to any set of objects |
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{{Short description|Result of repeatedly applying a mathematical function}}
{{Use dmy dates|date=May 2019|cs1-dates=y}}
In [[mathematics]], an '''iterated function''' is a function {{math|''X → X''}} (that is, a function from some [[Set (mathematics)|set]] {{mvar|X}} to itself) which is obtained by [[function composition|composing]] another function {{math|''f'' : ''X'' → ''X''}} with itself a certain number of times. The process of repeatedly applying the same function is called [[iteration]]. In this process, starting from some initial object, the result of applying a given function is fed again in the function as input, and this process is repeated.
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