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单词 monoid
释义
monoid

Mathematics
  • A set with an associative binary operation which has an identity element, for example, the natural numbers and addition. Compare group, magma, semigroup.


Computer
  • A semigroup that possesses an identity element, e. If S is a semigroup on which there is defined a dyadic operation ∘, then

    x°e=e°x=x
    for all elements x in S. Monoids play an important role in various areas of computing, especially in the study of formal languages and parsing.


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