sub·set

[suhb-set]
noun
1.
a set that is a part of a larger set.
2.
Mathematics. a set consisting of elements of a given set that can be the same as the given set or smaller.

Origin:
1900–05; sub- + set

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2013.
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Collins
World English Dictionary
subset (ˈsʌbˌsɛt) [Click for IPA pronunciation guide]
 
n
1.  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 A⊂B one that is strictly contained within a larger class and excludes some of its members
2.  a set within a larger set

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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00:10
Subset is always a great word to know.
So is infinity. Does it mean:
the assumed limit of a sequence or series that increases without bound; infinite distance
one of several highly systematic methods of treating problems by a special system of algebraic notations, such as differential or integral calculus
Etymonline
Word Origin & History

subset
"subordinate set," 1902, from sub- + set (n.).
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
subset   (sŭb'sět')  Pronunciation Key 
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.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
However, laying that groundwork will take more than text mining, and certainly
  more than the subset of textual materials on offer.
In other words, numerate graduates are useful right away and can compete for a
  larger subset of jobs than their peers.
These tests are limited to detecting a small subset of the universe of
  pathogenic agents.
Living four-legged creatures rest and sleep in various postures, but only birds
  and a subset of mammals rest on folded limbs.
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