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Change log entry 52382
Processed by: goldyn_chyld (2014-01-25 09:49:58 UTC)
Comment: << review queue entry 49396 - submitted by 'brianlawrence' >>
http://zh.wikipedia.org/wiki/%E7%AD%89%E4%BB%B7%E5%85%B3%E7%B3%BB

设 R 是某個集合 A 上的一个二元关系。若 R 满足以下條件:

自反性:\forall x \in A,~~x R x
对称性:\forall x, y \in A,~~ x R y ~~ \implies ~~y R x
传递性:\forall x, y, z \in A, ~~~( x R y ~~ \wedge ~~ y R z) ~~\implies~~x R z

则称 R 是一個定义在 A 上的等价关系。
(Paraphrase: An equivalence relation is a relation satisfying the axioms of reflexivity, symmetry, and transitivity.)
Diff:
- 傳遞 传递 [chuan2 di4] /to transmit/to pass on to sb else/
# + 傳遞 传递 [chuan2 di4] /to transmit/to pass on to sb else/transitive (math.)/
+ 傳遞 传递 [chuan2 di4] /to transmit/to pass on to sb else/(math.) transitive/
By MDBG 2025
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