subset


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Related to subset: Proper subset

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 ?
Let A be a gJ[lambda]-closed subset of (X, [lambda]).
The sets V [intersection] G, H [intersection] W [intersection] G and K [intersection] W [intersection] G are mutually disjoint open subsets of G containing p, q and x, respectively.
s,t)] | [there exists]u, v with f [not subset or equal to] [bar.
A function f: X [right arrow] Y is quasi sg-open if and only if for every subset U of X, f (sg-Int(U)) [subset] Int(f (U)).
1]),every subset is closed and hence every subset is [alpha] g* closed.
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].
i])-regularly open subset of X and A [subset][union]{[U.
All 13 patients in the safety subset (4 on 50 mg and 9 on 100 mg of sitaxsentan) completed the study, and 12 had no recurrence of their toxicity after being placed on sitaxsentan.
If a fully cloned one-terabyte database is used for testing instead of a smaller subset, then executing the test cases may take longer because there is a larger volume of data to process.
They used statistical analysis to cross-reference the exposure estimates with hospitalization rates for three diagnostic groups--all respiratory conditions, a subset of respiratory conditions known to be related to P[M.
In addition to the primary study question, SMART will generate data for subset analysis on quality of life, cost effectiveness, HIV transmission risk behavior, and probably metabolic complications.