# subset

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## subset

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.

## Subset

A subset of a set A is any set each of whose elements belongs to A. For example, the set of all even numbers is a subset of the set of all integers. If the empty set is included among the sets, then by definition it is a subset of any other set. The set A itself and the empty set are sometimes called improper subsets, while the other subsets are called proper.

## subset

[′səb‚set]
(communications)
A telephone or other subscriber equipment connected to a communication system, such as a modem. Derived from subscriber set.
(mathematics)
A subset A of a set B is a set all of whose elements are included in B.
A fuzzy set A is a subset of a fuzzy set B if, for every element x, the value of the membership function of A at x is equal to or less than the value of the membership function of B at x.

## subset

A group of commands or functions that do not include all the capabilities of the original specification. Software or hardware components designed for the subset will also work with the original. However, any component designed for the full original specification will not operate with the subset product. Contrast with superset.
References in periodicals archive ?
The generalized closure of a subset S of X, denoted by [c.
Further, there is no open set in the domain containing p = 1 whose image is a subset of (0,1].
A difilter F x G on (S, S) is called regular if F [intersection] G = 0, or equivalently, A [not subset or equal to] B [for all]A [member of] F and [for all] B [member of] G.
The semi-closure [3] of a subset A of X, denoted by sCl(A), is defined to be the intersection of all semi-closed sets containing A in X.
Zadeh [1] introduced the notion of a fuzzy subset of a set as a method for representing uncertainty in real physical world.
epsilon]](N) is a subset of <U> since the diameters of the intervals about k in U tend to 0 as k [right arrow] [infinity].
A nonvoid family B of subsets of a set X is called a filter base on X provided B does not contain the null set and provided the intersection of any two elements of B contains an element of B.
i])-regularly open subsets [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Lungs of mice infected with viruses carrying 1918 gene subsets had far fewer immune cells in the lungs and less inflammation and cell death.
At the trial's end, 5 of the 15 subjects on the 100-mg dose in the efficacy subset showed at least 15% improvement in 6-minute walk distance, with similar results for the other two efficacy criteria.
It is in this third subset, usually representing 60% to 70% or more of all risks presented for assessment, where risk triage comes into play.
If not, the next question to ask is, "How can you create smaller subsets of the database to perform testing efficiently and still have complete confidence that the applications are being tested with the realistic test data?

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