Web Reference: Feb 2, 2013 · Currying is essential for languages that lack data types and have only functions, such as the lambda calculus. While these languages aren't useful for practical use, they're very important from a theoretical point of view. This is connected with the essential property of functional languages - functions are first class object. Currying is about turning/representing a function which takes n inputs into n functions that each take 1 input. Partial application is about fixing some of the inputs to a function. The motivation for partial application is primarily that it makes it easier to write higher order function libraries. For instance the algorithms in C++ STL all largely take predicates or unary functions, bind1st ... Currying refers to taking multiple arguments into a function that takes many arguments, resulting in a new function that takes the remaining arguments and returns a result. halver is your new (curried) function (or closure), that now takes just one parameter. Calling halver(10) would result in 5.
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