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单词 TransitiveRelation
释义

transitive relation


A relationMathworldPlanetmath on a set A is transitiveMathworldPlanetmathPlanetmathPlanetmathPlanetmath if and only ifx,y,zA, (xyyz)(xz).

For example, the “is a subset of” relation on any set of sets is transitive.The “less than” relation < on the set of real numbersis also transitive.

The “is not equal to” relation on the set of integers is not transitive,because 12 and 21 does not imply 11.

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更新时间:2025/5/4 17:25:29