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传递关系

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传递关系

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binary relation R with the property that xRy and yRz implies xRz

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Vinony's link graph records 443 inbound references to 传递关系, and connects out to partially ordered set, total order and weak ordering.

It sits within the topics Elementary algebra and Transitive relations.

Vinony links it to 43 Wikipedia language editions.

Key facts

Type
Binary relation
Field
Elementary algebra
Symbolic statement
∀ a , b , c ∈ X : ( a R b ∧ b R c ) ⇒ a R c {\displaystyle \forall a,b,c\in X:(aRb\wedge bRc)\Rightarrow aRc}

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WikiProject Mathematics
Sources (2)

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Article · 中文

在逻辑学和数学中,傳遞關係(英語:Transitive relation)、即,若对所有的a,b,c属于X,下述語句保持有效,則集合X上的二元关系R是传递的:「若a关系到b且b关系到c,则 a关系到c。」

Abstract from DBpedia / Wikipedia · CC BY-SA

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