# Definition for "Subset"

### Etymology

From sub- +‎ set
....Source from : Wiktionary

### Subset - (Noun)

phonetic : /ˈsəbˌset/ http://www.gstatic.com/dictionary/static/sounds/de/0/subset.mp3
1. A part of a larger group of related things
2. A set of which all the elements are contained in another set

(n) subset (a set whose members are members of another set; a set contained within another set)
....Source from : wordnetweb

set theory With respect to another set, a set such that each of its elements is also an element of the other set.
• The set of integers is a subset of the set of reals.
• The set {a, b} is a both a subset and a proper subset of {a, b, c} while the set {a, b, c} is a subset of {a, b, c} but not a proper subset of {a, b, c}.
....Source from : Wiktionary

A group of things or people, all of which are in a specified larger group.
• We asked a subset of the population of the town for their opinion.
....Source from : Wiktionary

### Subset - (General)

1. a set whose members are members of another set; a set contained within another set
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2. In mathematics, especially in set theory, a set A is a subset of a set B if A is "contained" inside B. A and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment. ...
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3. With respect to another set, a set such that each of its elements is also an element of the other set; A group of things or people, all of which are in a specified larger group
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4. A set all of whose members belong to a second set (a superset of the subset). Notation: A B (A is a subset of B). See superset.
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5. A set consisting of elements from a given set (e.g., if B = {1,2,3,4,5,6,7} and A = {1,2,3}, then A is a subset of B, written A 'sideways U with line underneath' B).
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6. A box containing the parts known as a Network and usually a Ringer. The Network consists of proper apparatus to boost speech sounds for transmission to the telephone line, to separate undulating currents to the Receiver, and to signal incoming calls if so equipped.
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7. a set containing a smaller number of elements from a set where all the elements of the subset belong to the set. It is indicated by ⊆. For example, a ⊆ S is read as: "a is a subset of S".
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8. A record or group of records extracted from a larger data list of records by establishing filtering criteria.
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9. a set that is part of a larger set
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10. Set B is a subset of set A if and only if every element of B is also an element of A.  This is denoted .
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11. A subset of a given set is a collection of things that belong to the original set. For example, A={a,b} could include, a, b, a and b, or the null set (neither).
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