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  2. Currying - Wikipedia

    en.wikipedia.org/wiki/Currying

    This property is inherited from lambda calculus, where multi-argument functions are usually represented in curried form. Currying is related to, but not the same as partial application . [ 1 ] [ 2 ] In practice, the programming technique of closures can be used to perform partial application and a kind of currying, by hiding arguments in an ...

  3. Lambda lifting - Wikipedia

    en.wikipedia.org/wiki/Lambda_lifting

    Parameter dropping is optimizing a function for its position in the function. Lambda lifting added parameters that were necessary so that a function can be moved out of its context. In dropping, this process is reversed, and extra parameters that contain variables that are free may be removed.

  4. Fixed-point combinator - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_combinator

    In this case particular lambda terms (which define functions) are considered as values. "Running" (beta reducing) the fixed-point combinator on the encoding gives a lambda term for the result which may then be interpreted as fixed-point value. Alternately, a function may be considered as a lambda term defined purely in lambda calculus.

  5. Partial application - Wikipedia

    en.wikipedia.org/wiki/Partial_application

    In Raku, the assuming method creates a new function with fewer parameters. [4] The Python standard library module functools includes the partial function, allowing positional and named argument bindings, returning a new function. [5] In XQuery, an argument placeholder (?) is used for each non-fixed argument in a partial function application. [6]

  6. Function object - Wikipedia

    en.wikipedia.org/wiki/Function_object

    In computer programming, a function object [a] is a construct allowing an object to be invoked or called as if it were an ordinary function, usually with the same syntax (a function parameter that can also be a function). In some languages, particularly C++, function objects are often called functors (not related to the functional programming ...

  7. Nested function - Wikipedia

    en.wikipedia.org/wiki/Nested_function

    In PHP and other languages, the lambda is an alternative. A function is defined in a code statement rather than declared with the usual function syntax. It has no name but is callable via a function reference. Such functions can be defined inside of a function as well as in other scopes. To use local variables in the anonymous function, use ...

  8. Functional programming - Wikipedia

    en.wikipedia.org/wiki/Functional_programming

    The lambda calculus, developed in the 1930s by Alonzo Church, is a formal system of computation built from function application. In 1937 Alan Turing proved that the lambda calculus and Turing machines are equivalent models of computation, [37] showing that the lambda calculus is Turing complete. Lambda calculus forms the basis of all functional ...

  9. Anonymous function - Wikipedia

    en.wikipedia.org/wiki/Anonymous_function

    In computer programming, an anonymous function (function literal, expression or block) is a function definition that is not bound to an identifier.Anonymous functions are often arguments being passed to higher-order functions or used for constructing the result of a higher-order function that needs to return a function. [1]