# subset

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Related to Subset inclusion: Proper subset

## subset

a set that is part of a larger set
Not to be confused with:
subtext – underlying or implicit meaning, as of a literary work: What is the subtext of the story?
subtype – a subordinate type; a special type included in a more general type
Abused, Confused, & Misused Words by Mary Embree Copyright © 2007, 2013 by Mary Embree

## sub·set

(sŭb′sĕt′)
n.
A set contained within a set.

## subset

(ˈsʌbˌsɛt)
n
1. (Mathematics) maths
a. a set the members of which are all members of some given class: A is a subset of B is usually written A⊆B
b. proper subset one that is strictly contained within a larger class and excludes some of its members. Symbol: A⊂B
2. a set within a larger set
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## sub•set

(ˈsʌbˌsɛt)

n.
1. a set that is a part of a larger set.
2. Math. a set consisting of elements of a given set that can be the same as the given set or smaller.
[1900–05]

## sub·set

(sŭb′sĕt′)
A set whose members are all contained in another set. The set of positive integers, for example, is a subset of the set of integers.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 subset - a set whose members are members of another set; a set contained within another setset - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
podmnožina
delmængde
osajoukko
delmängd

## subset

[ˈsʌbˌset] N
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## subset

[ˈsʌbsɛt] n
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## subset

n (Math) → Teilmenge f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

## subset

[ˈsʌbˌsɛt] n (Math) →
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Semantically equivalent PubMed and Ovid-MEDLINE queries: different retrieval results because of database subset inclusion. J Clin Epidemiol.
Suppose, after possibly changing some indices, that [H.sub.1], ..., [H.sub.p], p [less than or equal to] m, are the maximal elements for the subset inclusion, of the collection of sets {[H.sub.i] | 1 [less than or equal to] i [less than or equal to] m}.
This assertion is reasonable because it says that, intuitively, if we replace subset inclusions by equalities, then the need for subtyping disappears.

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