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Meaning of RECURSION

Pronunciation:  ree'kurshun

WordNet Dictionary
 
 Definition: [n]  (mathematics) an expression such that each term is generated by repeating a particular mathematical operation
 
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 See Also: formula, rule

 

 

Webster's 1913 Dictionary
 
 Definition: 
\Re*cur"sion\ (-sh?n), n. [L. recursio. See {Recur}.]
The act of recurring; return. [Obs.] --Boyle.
 
Computing Dictionary
 
 Definition: 

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.

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