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singleton set

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  • Set 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… …   Wikipedia

  • Singleton — may refer to *Singleton (mathematics), a set with exactly one element in mathematics *Singleton pattern, a design pattern used in software engineering *Singleton bound, used in coding theory *Singleton field, used in conformal field… …   Wikipedia

  • Singleton Park — is the largest urban park in Swansea located in the Sketty district. The park is used to host many entertainment and cultural events such as Party in the Park and Proms in the Park.A botanical garden is located in the centre of the park near the… …   Wikipedia

  • Singleton (mathematics) — In mathematics, a singleton, also known as a unit set,[1] is a set with exactly one element. For example, the set {0} is a singleton. The term is also used for a 1 tuple (a sequence with one element). Contents 1 Properties 2 Applications …   Wikipedia

  • singleton — /sing geuhl teuhn/, n. 1. a person or thing occurring singly, esp. an individual set apart from others: a research program involving twins and singletons. 2. Cards. a card that is the only one of a suit in a hand. 3. Math. a set consisting of one …   Universalium

  • Singleton bound — In coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude bound on the size of a block code C with block length n, size r and minimum distance d. Contents 1 Statement of the Bound 2 Proof …   Wikipedia

  • Set 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 …   Wikipedia

  • singleton — noun 1》 a single person or thing of the kind under consideration.     ↘a child or animal born singly, rather than one of a multiple birth.     ↘(in card games, especially bridge) a card that is the only one of its suit in a hand. 2》 informal a… …   English new terms dictionary

  • Zermelo set theory — Zermelo set theory, as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory. It bears certain differences from its descendants, which are not always understood, and are frequently misquoted. This article… …   Wikipedia

  • Von Neumann–Bernays–Gödel set theory — In the foundations of mathematics, von Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of the canonical axiomatic set theory ZFC. A statement in the language of ZFC is provable in NBG if and only …   Wikipedia

  • Partition of a set — In mathematics, a partition of a set X is a division of X into non overlapping parts or blocks or cells that cover all of X . More formally, these cells are both collectively exhaustive and mutually exclusive with respect to the set being… …   Wikipedia

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