Operation (mathematics)

From Citizendium
Revision as of 13:04, 12 December 2008 by imported>Richard Pinch (links)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
This article is a stub and thus not approved.
Main Article
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
This editable Main Article is under development and subject to a disclaimer.

In mathematics, an operator is usually defined as a function which maps some finite Cartesian power of a set to itself. For instance, the real numbers form a set, and addition is a function mapping to .

In general, an operator + on a set A is a function of the form . We say that + is a k-ary operator, indicating the number of arguments it takes. In the case of real number addition, the operator is binary because it takes two arguments.