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In page Binary relation:

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The terms correspondence,[14] dyadic relation and two-place relation are synonyms for binary relation, though some authors use the term "binary relation" for any subset of a Cartesian product X × Y {\displaystyle X\times Y} without reference to X {\displaystyle X} and Y {\displaystyle Y} , and reserve the term "correspondence" for a binary relation with reference to X {\displaystyle X} and Y {\displaystyle Y} .[citation needed]