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 X be equipped with the original topology T as well as the weak topology [T.sub.w], and WCC (X) ={A [subset.bar] X : A is a [T.sub.w]-compact convex subset of X} is the corresponding hyperspace.
(1) A convex space (X, D) = (X, D; [GAMMA]) is a triple where X is a subset of a vector space, D [subset] X such that co D [subset] X, and each [[GAMMA].sub.A] is the convex hull of A [member of] <D> equipped with the Euclidean topology.
The second transmit-antenna subset, [S.sup.2.sub.CRCES], is composed of [mathematical expression not reproducible] to [mathematical expression not reproducible].
(1982), defined a subset A of (X,[tau]) is called pre-open locally dense or nearly open if A [subset] Int (Cl (A)) and its complement is called pre-closed set.
We recall the definition of the Hausdorff measure and Hausdorff dimension (see [Edg08, Fal90]) of a subset of [X.sup.[omega]].
For every subset X of U, we have [X.sup.*.sub.N] = Ncl([X.sup.*.sub.N]) [subset or equal to] Ncl(X), by Theorem 2.3.
Let us remember that a subset G of a topological space X is residual if there exists a countable family ([U.sub.n])n[member of][NU] of open dense subsets such that G [mathematical expression not reproducible] [[intersection].sub.n] [U.sub.n].
Let C be any totally ordered subset of [C.sub.[phi]].
Basically, multilabel feature selection is a search problem ; it can be achieved by identifying the optimal feature subset that gives the best prediction accuracy from
(SC3) For each spectral sequence [alpha] = {[[alpha].sub.n]: n [member of] N} any set [cl.sub.X]{[x.sub.n] [member of] [U.sub.[[alpha].sub.n]]: n [member of] N} is a compact subset of the space X and the set H([gamma], [alpha]) = [intersection]{[U.sub.[[alpha].sub.n]]: n [member of] N} is a compact subset of the space X.
A subset A of a poset (S, [less than or equal to]) is said to be a down-set if s [member of] A whenever s [less than or equal to] a for s [member of] S, a [member of] A.

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