subset

Pronunciation

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Pronunciation

- (
*British*) IPA: /ˈsʌbˌsɛt/

**subset** (*plural* subsets)

- (
*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*.

- In the foregoing example, the set
**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.

- Let A be a
**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.)

- We say that a set S has a

- 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.

- French: sous-ensemble
- German: Untermenge, Teilmenge
- Italian: sottoinsieme
- Portuguese: subconjunto
- Russian: подмно́жество
- Spanish: subconjunto

- French: sous-ensemble
- Italian: sottogruppo
- Portuguese: subconjunto, subgrupo
- Russian: подгру́ппа

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

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

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.004