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Cartesian product

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The Cartesian product of two sets A,B , denoted by A\times B , is the set of all possible ordered pairs whose first component is an element of A and whose second component is an element of B .

Definition

Given two sets A,B ,
A\times B=\{(x,y)|x\in A\and y\in B\}

Example

Suppose A=\{0,1\} and B=\{a,c\} :

A\times B=\{(0,a),(0,c),(1,a),(1,c)\}

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