# recursion

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Related to recursion: recursion formula, Tail recursion

## recursion

[ri′kər·zhən]
(computer science)
A technique in which an apparently circular process is used to perform an iterative process.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## recursion

(mathematics, programming)
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.

## recursion

In programming, the ability of a subroutine or program module to call itself. Recursion is used to write routines that solve problems by repeatedly processing the output of the same process. See recurse subdirectories, circular reference and recursive descent parser.
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References in periodicals archive ?
In Section 3, we give the formulas for the recursion schemes obtained by using the Duan-Rach modified ADM for selected types of nonlinear fractional BVPs.
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I That I (Am) That That (Am) I I (Am) That All three fundamental Laws, complementarity, recursion and creative interactivity, are operating at these five levels (see Fig.
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Consequently, the components [u.sub.n] and [v.sub.n] can be elegantly determined by setting the new modified recursion scheme
It is known that an autonomous operator [PHI] = [PHI](u, [u.sub.x],...) is a recursion operator of an evolution equation [u.sub.t] = K(u) if operator O needs to satisfy
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