subset of a set
1subset — (n.) subordinate set, 1902, from SUB (Cf. sub ) + SET (Cf. set) (n.) …
2set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …
3Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… …
4Subset — In mathematics, especially in set theory, a set A is a subset of a set B if A is contained inside B . Notice that A and B may coincide. The relationship of one set being a subset of another is called inclusion.DefinitionsIf A and B are sets and… …
5subset — noun /ˈsʌbˌsɛt/ a) 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. b) A group of things or people, all of which are in a specified larger… …
6set — Intuitively a set is a collection of entities, called its members or elements, itself considered as a single object. The fundamental principle of the theory of sets is the principle of extensionality : sets are identical if and only if they have… …
7subset — /ˈsʌbsɛt/ (say subset) noun a set whose elements belong, with others, to a given, larger set; a subordinate set …
8Set of all sets — In set theory as usually formulated, referring to the set of all sets typically leads to a paradox. The reason for this is the form of Zermelo s axiom of separation: for anyformula varphi(x) and set A, the set {x in A mid varphi(x)}which contains …
9Set packing — is a classical NP complete problem in computational complexity theory and combinatorics, and was one of Karp s 21 NP complete problems. Suppose we have a finite set S and a list of subsets of S. Then, the set packing problem asks if some k… …
10subset — [sub′set΄] n. a mathematical set in which every element in the set is also contained in a larger set or in an equal set [the even numbers are a subset of the whole numbers] …
