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set theory > Cartesian product

Cartesian product

In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in A and b is in B. In terms of set-builder notation, that is
${\\displaystyle A\ imes B=\\{(a,b)\\mid a\\in A\\ {\\mbox{ and }}\\ b\\in B\\}.}$

(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cartesian_product)

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