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A subset is a portion of a set. B is a subset of A (written B subset= A) iff every member of B is a member of A. If B is a proper subset of A (i.e., a subset other than the ...

The subset consisting of all elements of a given set is called an improper subset (Kamke 1950, p. 6).

A proper subset S^' of a set S, denoted S^' subset S, is a subset that is strictly contained in S and so necessarily excludes at least one member of S. The empty set is ...

A subset of a topological space which is compact with respect to the relative topology.

A k-subset is a subset of a set on n elements containing exactly k elements. The number of k-subsets on n elements is therefore given by the binomial coefficient (n; k). For ...

There are two problems commonly known as the subset sum problem. The first ("given sum problem") is the problem of finding what subset of a list of integers has a given sum, ...

A subset of a topological group which is closed as a subset and also a subgroup.

A discrete subset of R^s which is closed under addition and subtraction and which contains Z^s as a subset.

A subset A subset= X of a topological space X is said to be disconnected if it is not connected.

A function f defined on a subset S subset R^n is said to be pseudoconcave if -f is pseudoconvex.