English
subset
Pronunciation
  • (British) IPA: /ˈsʌbˌsɛt/
Noun

subset (plural subsets)

  1. (set theory, of a set S) A set A such that every element of A is also an element of S.
    The set of integers is a subset of the set of real numbers.
    The set \lbrace a, b\rbrace is a both a subset and a proper subset of \lbrace a, b, c\rbrace while the set \lbrace a, b, c\rbrace is a subset of \lbrace a, b, c\rbrace but not a proper subset of \lbrace a, b, c\rbrace.
    • 1963, David B. MacNeil, Modern Mathematics for the Practical Man, David Van Nostrand, Republished as 2013, David B. MacNeil, Fundamentals of Modern Mathematics: A Practical Review, Dover Publications, page 3 ↗,
      In the foregoing example, the set D of the first four letters of the alphabet, was a subset of the set A of all the letters of the alphabet, because A includes all the members of D.
    • 1997, Wolfgang Filter, K. Weber, Integration Theory, Chapman & Hall, page 5 ↗,
      Let A be a subset of the topological space X and take x\in X.
    • 2007, Judith D. Sally, Paul J. Sally, Jr., Roots to Research: A Vertical Development of Mathematical Problems, American Mathematical Society, page 280 ↗,
      We say that a set S has a finite partition into subsets S_1,\dots,S_n, if S = S_i \cup\dots\cup S_n, where the subsets are pairwise disjoint, that is, S_i\cap S_j = \empty, if i\ne j. (We do not require that the subsets be nonempty.)
  2. A group of things or people, all of which are in a specified larger group.
    We asked a subset of the population of the town for their opinion.
Synonyms Antonyms Translations Translations Verb

subset (subsets, present participle subsetting; past and past participle subsetted)

  1. (transitive) To take a subset of.
  2. (transitive, computing, typography) To extract only the portions of (a font) that are needed to display a particular document.


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