The map function for monads is actually named fmap, and you can find it in the Functor— Random Hacks
And they are related to monads, at least according to Edmund Robinson†™ s— Random Hacks
Basically, monads are a clever bit of category theory that can be used to structure control flow in a program.— Random Hacks
The "map" function used in monads is a generalization of the regular "map".— Random Hacks
The purpose of this technical report is to give a category theoretic introduction to monads, and to explore the relationship to what functional programmers term a monad.— CiteULike: Everyone's library

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