英语词汇“equivalence relation”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

equivalence relation

noun Mathematics & Logic

A relation between elements of a set which is reflexive, symmetric, and transitive and which defines exclusive classes whose members bear the relation to each other and not to those in other classes.We are almost ready to define an equivalence relation between hyperreal numbers....

In The classification of prime-power groups Hall introduces an equivalence relation called isoclinism to aid the classification of prime power groups.
You can't have a classification without an equivalence relation, and one of the three defining properties of an equivalence relation is transitivity.

单词	equivalence relation
释义	equivalence relation noun Mathematics & Logic A relation between elements of a set which is reflexive, symmetric, and transitive and which defines exclusive classes whose members bear the relation to each other and not to those in other classes.We are almost ready to define an equivalence relation between hyperreal numbers.... In The classification of prime-power groups Hall introduces an equivalence relation called isoclinism to aid the classification of prime power groups. You can't have a classification without an equivalence relation, and one of the three defining properties of an equivalence relation is transitivity.
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