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IEVref: | 102-01-07 | ID: | |

Language: | en | Status: Standard | |

Term: | binary relation | ||

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Definition: | relation between any two elements of a given set, which is true for some specified ordered pairs and false for the others Note 1 to entry: The binary relation is true or false according to whether the pair belongs or not to a specified subset of the Cartesian product of the set by itself. There is a one-to-one correspondence between binary relations in a set and the subsets of this Cartesian product. Note 2 to entry: A binary relation between elements | ||

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 binary relation is true or false according to whether the pair belongs or not to a specified subset of the Cartesian product of the set by itself. There is a one-to-one correspondence between binary relations in a set and the subsets of this Cartesian product.

Note 2 to entry: A binary relation between elements *a* and *b* is denoted by *a**ℛ**b*.