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example, per Ed's request
The '''Cartesian product''' of 2 sets ''A'' and ''B'' is the set (usually denoted by ''A × B'') consisting of all ordered pairs ''(a, b)'' where <math>a \in A</math> and <math>b \in B</math>. The Cartesian product is named after [[René Descartes]], who invented this concept.
The '''Cartesian product''' of two [[set]]s ''A'' and ''B'' is the set (usually denoted by ''A × B'') consisting of all ordered pairs ''(a, b)'' where <math>a \in A</math> and <math>b \in B</math>. The Cartesian product is named after [[René Descartes]], who invented this concept.
A common example of a Cartesian product is the [[coordinate plane]], <math>\mathbb{R}^2</math>. This is all ordered pairs ''(a,b)'' of [[real number]]s ''a'' and ''b''. It is used for [[graph]]ing [[function]]s on the real numbers.
==See also==
*[[product]]
*[[dot product]]
*[[cross product]]
*[[infinite product]]
*[[gross domestic product]]
[[category:set theory]]
[[category:set theory]]