IEC 60050 - International Electrotechnical Vocabulary


IEVref:	102-01-06		ID:
Language:	en		Status: Standard

Term:	Cartesian product
Synonym1:
Synonym2:
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Symbol:
Definition:	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.
Publication date:	2008-08
Source
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Internal notes:	2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO
CO remarks:
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VT remarks:
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n A 1 , A 2 ,⋯, A n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadgeadaWgaaWcba GaaeymaaqabaGccaqGSaGaaeiiaiaadgeadaWgaaWcbaGaaeOmaaqa baGccaGGSaGaeS47IWKaaiilaiaadgeadaWgaaWcbaGaamOBaaqaba aaaa@3F35@ n a 1 , a 2 ,⋯, a n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadggadaWgaaWcba GaaGymaaqabaGccaqGSaGaaeiiaiaadggadaWgaaWcbaGaaGOmaaqa baGccaGGSaGaeS47IWKaaiilaiaadggadaWgaaWcbaGaamOBaaqaba aaaa@4321@ a 1 ∈ A 1 , a 2 ∈ A 2 ,⋯, a n ∈ A n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadggadaWgaaWcba GaaGymaaqabaGccqGHiiIZcaWGbbWaaSbaaSqaaiaaigdaaeqaaOGa aeilaiaabccacaWGHbWaaSbaaSqaaiaaikdaaeqaaOGaeyicI4Saam yqamaaBaaaleaacaaIYaaabeaakiaacYcacqWIVlctcaGGSaGaamyy amaaBaaaleaacaWGUbaabeaakiabgIGiolaadgeadaWgaaWcbaGaam OBaaqabaaaaa@4D0B@ 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.