Subset

Definitions

1. A set A such that every element of A is also an element of S.
2. A group of things or people, all of which are in a specified larger group.

Equivalents

28 more languages

العربيةمجموعة ثانوية

Azərbaycan dilialtçoxluq

Bosanskipodgrupa

Catalàsubconjunt

Češtinapodmnožina

Cymraegis-setisgasgliad

Danskdelmængde

Ελληνικάυποσύνολο

Suomiosajoukko

Gaeilgefo-thacar

Galegopeza

עבריתתת קבוצה

हिन्दीउपसमुच्चय

Hrvatskipodgrupa

Magyarrészhalmaz

Bahasa Indonesiahimpunan bagian

Italianosottogrupposottoinsieme

日本語部分集合

한국어부분집합

Македонскиподмножество

Nederlandsdeelverzameling

Polskipodgrupapodzbiór

Portuguêssubconjuntosubgrupo

Românăsubclasăsubgrupsubmulțime

Русскийподгруппаподмножество

Српскиpodgrupa

Svenskadelmängd

Tagalogkubtangkas

Examples

“The set⟳ of integers is a subset of the set⟳ of real numbers.”

“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.”

“Let⟳ A be a subset of the topological space X and take⟳ x#92;inX.”

“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.)”

“We asked a subset of the population of the town for their opinion.”

CEFR level