Last Updated
：2025/11/20
binary relation
Noun
Japanese Meaning
集合論や順序論における概念で、ある集合 A に対して、A のデカルト積 A×A の部分集合として定義される。すなわち、A の元 a と b の間に特定の関係が成立しているかどうかを示すもの。
（ plural ）
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(set theory, order theory, on
a set A) A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A).
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binary relation
In set theory, a binary relation on A is defined as a subset of the Cartesian product A×A, and analyzing its reflexivity and transitivity can reveal ordering properties.
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In set theory, a binary relation on A is defined as a subset of the Cartesian product A×A, and analyzing its reflexivity and transitivity can reveal ordering properties.
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