| 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 a and b is denoted by aℛb.
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