**Motivation**

Currying is similar to the process of calculating a function of multiple variables for some given values on paper. For example, given the function *f(x,y)* = *y / x*:

- To evaluate
*f*(2,3), first replace*x*with 2.

- Since the result is a function of
*y*, this function*g*(*y*) can be defined as*g*(*y*) =*f*(2,*y*) =*y*/2.

- Next, replace the
*y*argument with 3, producing*g*(3) =*f*(2,3) = 3/2.

On paper, using classical notation, this is usually done all in one step. However, each argument can be replaced sequentially as well. Each replacement results in a function taking exactly one argument. This produces a chain of functions as in lambda calculus, and multi-argument functions are usually represented in curried form.

Some programming languages almost always use curried functions to achieve multiple arguments; notable examples are ML and Haskell, where in both cases all functions have exactly one argument.

If we let *f* be a function

then the function *h* where

is a curried version of . Here, is a function that maps an argument *y* to result *z*. In particular,

is the curried equivalent of the example above. Note, however, that currying, while similar, is not the same operation as partial function application.

Read more about this topic: Currying

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