recursion (redirected from Recursivity)

In programming, the ability of a subroutine or program module to call itself. It is helpful for writing routines that solve problems by repeatedly processing the output of the same process. See recurse subdirectories.

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(mathematics, programming)

recursion - When a function (or procedure) calls itself. Such a function is called "recursive". If the call is via one or more other functions then this group of functions are called "mutually recursive". If a function will always call itself, however it is called, then it will never terminate. Usually however, it first performs some test on its arguments to check for a "base case" - a condition under which it can return a value without calling itself. The canonical example of a recursive function is factorial: factorial 0 = 1 factorial n = n * factorial (n-1) Functional programming languages rely heavily on recursion, using it where a procedural language would use iteration. See also recursion, recursive definition, tail recursion.