# Anonymous function

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Revision as of 14:22, 21 August 2016 by Battlmonstr (Talk | contribs)

\x -> x + 1

## 1 Examples

That is a nameless function which increments its parameter, x. So in Hugs or GHCi, I might say:

Prompt> (\x -> x + 1) 4 5 :: Integer

Or I could make a nameless function of two parameters, x and y:

\x y -> x + y

Prompt> (\x y -> x + y) 3 5 8 :: Integer

You could also name a lambda expression if you wanted to for some reason:

addOne = \x -> x + 1

Of course, there are a variety of better ways to write that in Haskell, but you get the idea.

## 2 But why bother?

Sometimes it is more convenient to use a lambda expression rather than giving a function a name. This is often the case when usingmap

foldl / foldr

addOneList lst = map addOne' lst where addOne' x = x + 1

But here's another way, where we pass the anonymous function into map rather than any named function.

addOneList' lst = map (\x -> x + 1) lst

For completeness it's worth mentioning that this could be better written using a section, in pointfree style:

addOneList'' = map (+1)

## 3 See also

- Section 3.1 in the Haskell tutorial.
- Closure
- Lambda calculus
- Beta reduction
- Lambda functions in math and programming