Apply a function to each element of a collection while retaining its arrangement. On lists, map f [] = [] and map f (x:xs) = f x : map f xs. Its principal type in Haskell is (a -> b) -> [a] -> [b]. The element types may change independently; no equality test or ordering of elements is required.

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In functional programming, a "map" is a higher-order function that applies a given function to each element of a collection (like a list or an array) and produces a new collection containing the results. The original collection remains unchanged, as map typically adheres to the principles of immutability. ### Key Characteristics of Map: 1. **Higher-Order Function**: Map takes another function as an argument and operates on each element of the collection.