International

Electrotechnical

Commission

Area

Mathematics - General concepts and linear algebra / Sets and operations

IEV ref

102-01-06

Cartesian product

for n given sets

A_{1}, A_{2}, \dots, A_{n}

, set, the elements of which are the ordered n-tuples (

a_{1}, a_{2}, \dots, a_{n}

) of elements

a_{1} \in A_{1}, a_{2} \in A_{2}, \dots, a_{n} \in A_{n}

Note 1 to entry: The Cartesian product of sets $A_{1}, A_{2}, \dots, A_{n}$ is denoted by $A_{1} \times A_{2} \times \dots \times A_{n}$ . The Cartesian product of the set A by itself n times is denoted by Aⁿ.

produit cartésien, m

pour n ensembles donnés

A_{1}, A_{2}, \dots, A_{n}

, ensemble dont les éléments sont les multiplets ordonnés (

a_{1}, a_{2}, \dots, a_{n}

) d'éléments

a_{1} \in A_{1}, a_{2} \in A_{2}, \dots, a_{n} \in A_{n}

Note 1 à l'article: Le produit cartésien des ensembles $A_{1}, A_{2}, \dots, A_{n}$ est noté $A_{1} \times A_{2} \times \dots \times A_{n}$ . Le produit cartésien de l'ensemble A par lui-même n fois est noté Aⁿ.

kartesisches Produkt, n

producto cartesiano

카테시안 곱

直積
カルテシアン積
デカルト積

cartesisch product, n

iloczyn kartezjański

produto cartesiano

Декартов производ, м јд

kartesisk produkt

笛卡儿积

Publication date: 2008-08