subset en · NOUN
Pronunciation
- /ˈsʌbˌsɛt/ (UK)
- (US) audio
Etymology
Etymology tree Proto-Indo-European *upó Proto-Italic *supo Latin sub Latin sub-der. English sub- English set English subset From sub- + set.
Meanings
-
(of a set S) A set A such that every element of A is also an element of S.
The set #92;lbracea,b#92;rbrace is a both a subset and a proper subset of #92;lbracea,b,c#92;rbrace while the set #92;lbracea,b,c#92;rbrace is a subset of #92;lbracea,b,c#92;rbrace but not a proper subset of #92;lbracea,b,c#92;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, 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.
We say that a set S has a finite partition into subsets S#95;1,#92;dots,S#95;n, if S#61;S#95;i#92;cup#92;dots#92;cupS#95;n, where the subsets are pairwise disjoint, that is, S#95;i#92;capS#95;j#61;#92;empty, if i#92;nej. (We do not require that the subsets be nonempty.)
2007, Judith D. Sally; Paul J. Sally, Jr., Roots to Research: A Vertical Development of Mathematical Problems, American Mathematical Society, page 280:Let A be a subset of the topological space X and take x#92;inX.
1997, Wolfgang Filter, K. Weber, Integration Theory, Chapman & Hall, page 5:The set of integers is a subset of the set of real numbers.
-
A group of things or people, all of which are in a specified larger group.
Interestingly, this [the core lexicon] is not all of the words of the language: It turns out that most of the words in a language from an industrialized culture come from narrow semantic domains, such that only a subset of speakers know them.
2025, Edward A. F. Gibson, “Introduction” (chapter 1), in Syntax: A Cognitive Approach, MIT Press, →DOI, →ISBN, page 2:We asked a subset of the population of the town for their opinion.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| subsets | Number=Plur | lexicographic |
Antonyms
Deriveds
multiplicative subset · multisubset · immunosubset · proper subset · subset classifier · subsethood
Synonyms
Translations (48)
is hlutmengi (set whose elements are within another given set) · cmn 子集 (set whose elements are within another given set) · ro subclasă (group contained in a larger group) · mk подмно́жество (set whose elements are within another given set) · pt subconjunto (set whose elements are within another given set) · es subconjunto (set whose elements are within another given set) · el υποσύνολο (set whose elements are within another given set) · nl deelverzameling (set whose elements are within another given set) · pt subconjunto (group contained in a larger group) · rsk подмножество (set whose elements are within another given set) · uk підмножина́ (set whose elements are within another given set) · ga fo-thacar (set whose elements are within another given set) · vi tập con (set whose elements are within another given set) · ka ქვესიმრავლე (set whose elements are within another given set) · de Teilmenge (set whose elements are within another given set) · cy is-set (group contained in a larger group) · ko 부분집합 (set whose elements are within another given set) · fi osajoukko (group contained in a larger group) · tl kubtangkas (set whose elements are within another given set) · sl podmnožica (set whose elements are within another given set) · et alamhulk (set whose elements are within another given set) · ja 部分集合 (set whose elements are within another given set) · pt subgrupo (group contained in a larger group) · de Untermenge (set whose elements are within another given set) · fi osajoukko (set whose elements are within another given set) · ru подгру́ппа (group contained in a larger group) · kmr binkom (group contained in a larger group) · cy is-set (set whose elements are within another given set) · az alt çoxluq (set whose elements are within another given set) · pl podgrupa (group contained in a larger group) · da delmængde (set whose elements are within another given set) · he תת קבוצה (set whose elements are within another given set) · it sottogruppo (group contained in a larger group) · bg подмножество (set whose elements are within another given set) · it sottoinsieme (set whose elements are within another given set) · ro submulțime (set whose elements are within another given set) · hu részhalmaz (set whose elements are within another given set) · ro subgrup (group contained in a larger group) · cs podmnožina (set whose elements are within another given set) · cy isgasgliad (group contained in a larger group) · hi उपसमुच्चय (set whose elements are within another given set) · fr sous-ensemble (group contained in a larger group) · ru подмно́жество (set whose elements are within another given set) · fr sous-ensemble (set whose elements are within another given set) · vi tập hợp con (set whose elements are within another given set) · pl podzbiór (set whose elements are within another given set) · sv delmängd (set whose elements are within another given set) · ca subconjunt (set whose elements are within another given set)