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单词 subset
释义
subset

Mathematics
  • The set A is a subset of the set B if every element of A is an element of B. When this is so, A is contained in B, written AB, and B contains A, written BA. The following properties hold:

    1. (i) For all sets A, Ø ⊆ A and AA, where Ø denotes the empty set.

    2. (ii) For all sets A and B, A = B if and only if AB and BA.

    3. (iii) For all sets A, B and C, if AB and BC, then AC.

    See also algebra of sets, power set, proper subset.


Computer
  • (of a set S) A set T whose members are all members of S; this is usually expressed as

    TS
    A subset T is a proper subset of S if there is some element in S that is not in T; this is expressed as
    TS


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