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Names the names lambda abstraction, lambda function, and lambda expression refer to the notation of function abstraction in lambda calculus, where the usual function f(x) = m would be written (λx.m), and where m is an expression that uses x This is particularly important for the lambda calculus, which has anonymous unary functions, but is able to compute any recursive function. Compare to the python syntax of lambda x

In several programming languages, anonymous functions are introduced using the keyword lambda, and anonymous functions are often referred to as lambdas or lambda abstractions In theoretical computer science, anonymous recursion is important, as it shows that one can implement recursion without requiring named functions Anonymous functions have been a feature of programming languages since lisp in 1958, and a growing number of modern programming languages support anonymous functions.

A list comprehension is a syntactic construct available in some programming languages for creating a list based on existing lists

The term syntactic sugar was coined by peter j Later programming languages, such as clu, ml and scheme, extended the term to refer to syntax within a. The indicates the start of a function Is the body, separated by a dot separator from the input parameter

The only difference in implementation is that in the first case we used a nested function with a name, g, while in the second case we used an anonymous nested function (using the python keyword lambda for creating an anonymous function) The original name, if any, used in defining them is irrelevant A closure is a value like any other value. In the classical untyped lambda calculus, every function has a fixed point

A particular implementation of is haskell curry 's paradoxical combinator y, given by [2]

131 [note 1][note 2] (here using the standard notations and conventions of lambda calculus Y is a function that takes one argument f and returns the entire expression following the first period The expression denotes a function. Church encoding in mathematics, church encoding is a way of representing various data types in the lambda calculus

In the untyped lambda calculus the only primitive data type are functions, represented by lambda abstraction terms.

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