Difference between revisions of "Cartesian product"
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| − | The ''' | + | 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. |
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| + | ==See also== | ||
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| + | *[[product]] | ||
| + | *[[dot product]] | ||
| + | *[[cross product]] | ||
| + | *[[infinite product]] | ||
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| + | [[Category:Set Theory]] | ||
Latest revision as of 03:53, August 22, 2010
The Cartesian product of two sets A and B is the set (usually denoted by A à 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 numbers a and b. It is used for graphing functions on the real numbers.