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"Idempotence means that applying a function twice (or thrice, or...) is no different than applying it once.": In the case of a pure function, this would mean that the function is the identity on a subset I of the domain, and maps all inputs outside of I to some value inside I.

Giorgio
– Giorgio

2017-02-25 06:46:20 +00:00
Commented Feb 25, 2017 at 6:46
That is definitely a more precise way of putting it. Another equivalent formalization I have read is that the image of an idempotent function is its fixed set: proofwiki.org/wiki/Fixed_Point_of_Idempotent_Mapping

evocatus
– evocatus

2017-02-26 05:14:00 +00:00
Commented Feb 26, 2017 at 5:14

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