Cartesian product of several sets (Q109955929)

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No description defined

• n-fold Cartesian product
• n-ary Cartesian product

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Language	Label	Description	Also known as
English	Cartesian product of several sets	No description defined	n-fold Cartesian product n-ary Cartesian product

Statements

subclass of

set operation

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defining formula

${\displaystyle \prod _{i=1}^{n}A_{i}=\{(x_{1},\ldots ,x_{n})\mid x_{1}\in A_{1}\land \cdots \land x_{n}\in A_{n}\}}$

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${\displaystyle \prod _{i=1}^{n}A_{i}=\left\{(x_{1},\ldots ,x_{n})\mid \bigwedge _{i=1}^{n}{x_{i}\in A_{i}}\right\}}$

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in defining formula

${\displaystyle \prod _{i=1}^{n}A_{i}}$

symbol represents

Cartesian product of several sets

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${\displaystyle A_{i}}$

symbol represents

set

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${\displaystyle (x_{1},\ldots ,x_{n})}$

symbol represents

n-tuple

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${\displaystyle \bigwedge }$

symbol represents

iterated binary operation

logical conjunction

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described by source

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-6.17

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maintained by WikiProject

WikiProject Mathematics

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different from

Cartesian product

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Sitelinks

Wikipedia(1 entry)

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• enwiki Cartesian product of several sets

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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