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IEVref: | 102-01-06 | ID: | |

Language: | en | Status: Standard | |

Term: | Cartesian product | ||

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Definition: | for n given sets ${A}_{\text{1}}\text{,}{A}_{\text{2}},\cdots ,{A}_{n}$, set, the elements of which are the ordered n-tuples (${a}_{1}\text{,}{a}_{2},\cdots ,{a}_{n}$) of elements ${a}_{1}\in {A}_{1}\text{,}{a}_{2}\in {A}_{2},\cdots ,{a}_{n}\in {A}_{n}$Note 1 to entry: The Cartesian product of sets ${A}_{1}\text{,}{A}_{2},\cdots ,{A}_{n}$ is denoted by ${A}_{1}\times \text{}{A}_{2}\times \cdots \times {A}_{n}$. The Cartesian product of the set | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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Note 1 to entry: The Cartesian product of sets ${A}_{1}\text{,}{A}_{2},\cdots ,{A}_{n}$ is denoted by ${A}_{1}\times \text{}{A}_{2}\times \cdots \times {A}_{n}$. The Cartesian product of the set *A* by itself *n* times is denoted by *A ^{n}*.