Subset

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Dictionary Meaning and Definition on 'Subset'

Subset Meaning and Definition from WordNet (r) 2.0
    subset n : a set whose members are members of another set; a set contained within another set
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Wikipedia Meaning and Definition on 'Subset'


In mathematics, especially in set theory, a set A is a subset of a set B if A is "contained" inside B. A and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment. Correspondingly, set B is a superset of A since all elements of A are also elements of B.

If A and B are sets and every element of A is also an element of B, then:

If A is a subset of B, but A is not equal to B (i.e. there exists at least one element of B not contained in A), then

For any set S, the inclusion relation ⊆ is a partial order on the set of all subsets of S (the power set of S).

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Words and phrases related to 'Subset'


'Subset' in famous quotation sentence


* It's counter to common sense, but common sense is only based on a very small subset of the universe. - Ian J. Davenport


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Subset Sample Sentences in News


  • Drug shows promise for subset of stage III colon cancer patients
    ( American Gastroenterological Association ) A subset of patients with stage III colon cancer had improved survival rates when treated with irinotecan-based therapy, according to a new study in Gastroenterology. Read more on this news related to 'Subset'
  • How MLB players should commemorate Labor Day
    Labor Day is about honoring the innumerable contributions of American workers, but major-league players -- a subset of workers afforded great rewards by the labor movement -- are surprisingly mute on the subject of a day that should have tremendous significance for them. Read more on this news related to 'Subset'
  • Irinotecan-based therapy improves survival rates for patients with stage III colon cancer
    A subset of patients with stage III colon cancer had improved survival rates when treated with irinotecan-based therapy, according to a new study in Gastroenterology, the official journal of the American Gastroenterological Association. Read more on this news related to 'Subset'

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