What does subset mean?
Subset means (set theory, of a set S) A set A such that every element of A is also an element of S..
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/ˈsʌbˌsɛt/ · noun
(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 #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.
Use subset when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Subset means (set theory, of a set S) A set A such that every element of A is also an element of S..
Common synonyms include subclass.
Possible antonyms include superclass, superset.
The set of integers is a subset of the set of real numbers.
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