SUBSET

subset

(noun) a set whose members are members of another set; a set contained within another set

Source: WordNet® 3.1

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Etymology

Noun

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 $\backslash (\backslash lbrace\; a,\; b\backslash rbrace\backslash )$ is a both a subset and a proper subset of $\backslash (\backslash lbrace\; a,\; b,\; c\backslash rbrace\backslash )$ while the set $\backslash (\backslash lbrace\; a,\; b,\; c\backslash rbrace\backslash )$ is a subset of $\backslash (\backslash lbrace\; a,\; b,\; c\backslash rbrace\backslash )$ but not a proper subset of $\backslash (\backslash lbrace\; a,\; b,\; c\backslash rbrace\backslash )$.

A group of things or people, all of which are in a specified larger group.

Usage notes

• (set theory)

The subset relation is denoted ⊆ (⊂ for proper subset), and one writes A ⊆ B for "A is a subset of B".

It is permissible for A to contain no elements: the empty set is a subset of every set (including itself).

Synonyms

• subclass

Antonyms

• superclass

• superset

Verb

subset (third-person singular simple present subsets, present participle subsetting, simple 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.

Source: Wiktionary

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