Difference between revisions of "Cartesian product"
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==See also== | ==See also== | ||
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Revision as of 22:47, August 31, 2008
The Cartesian product of two sets A and B is the set (usually denoted by A × B) consisting of all ordered pairs (a, b) where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a \in A} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b \in B} . The Cartesian product is named after René Descartes, who invented this concept.
A common example of a Cartesian product is the coordinate plane, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{R}^2} . This is all ordered pairs (a,b) of real numbers a and b. It is used for graphing functions on the real numbers.