Operation (mathematics): Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Nathan Bloomfield
m (New page)
 
mNo edit summary
 
(6 intermediate revisions by 5 users not shown)
Line 1: Line 1:
In mathematics, an Operator is usually defined as a [[function]] which maps some finite [[Cartesian product]] of a set to itself. For instance, the [[real numbers]] form a set, and [[addition]] is a function mapping <math>\mathbb{R} \times \mathbb{R}</math> to <math>\mathbb{R}</math>.
{{subpages}}


In general, an operator + on a set A is a function of the form <math>+ : A^{k} \mapsto A</math>. 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.
In mathematics, an '''operator''' is usually defined as a [[Function (mathematics)|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 <math>\mathbb{R} \times \mathbb{R}</math> to <math>\mathbb{R}</math>.
 
In general, an operator + on a set A is a function of the form <math>+ : A^{k} \mapsto A</math>. 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 operation|binary]] because it takes two arguments.[[Category:Suggestion Bot Tag]]

Latest revision as of 06:00, 29 September 2024

This article is a stub and thus not approved.
Main Article
Discussion
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.