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trivial closure

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  • Closure with a twist — is a property of subsets of an algebraic structure. A subset Y of an algebraic structure X is said to exhibit closure with a twist if for every two elements there exists an automorphism ϕ of X and an element such that …   Wikipedia

  • Closure problem — A Closure problem is a problem in graph theory for finding a set of vertices in a directed graph such that there are no edges from the set to the rest of the graph. More specifically, the minimum closure problem asks for a set of this type with… …   Wikipedia

  • Trivial topology — In topology, a topological space with the trivial topology is one where the only open sets are the empty set and the entire space. Such a space is sometimes called an indiscrete space, and its topology sometimes called an indiscrete topology.… …   Wikipedia

  • Transitive closure — In mathematics, the transitive closure of a binary relation R on a set X is the smallest transitive relation on X that contains R .For example, if X is a set of airports and xRy means there is a direct flight from airport x to airport y , then… …   Wikipedia

  • Conjugate closure — In group theory, the conjugate closure of a subset S of a group G is the subgroup of G generated by SG, i.e. the closure of SG under the group operation, where SG is the conjugates of the elements of S: SG = {g−1sg | g ∈ G and s ∈ S} The… …   Wikipedia

  • Cognitive closure (philosophy) — Problems of inquiry Cognitive closure (philosophy) Cognitive bias (psychology) Empirical limits in science This box: view · talk · …   Wikipedia

  • Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia

  • C++0x — is the planned new standard for the C++ programming language. It is intended to replace the existing C++ standard, ISO/IEC 14882, which was published in 1998 and updated in 2003. These predecessors are informally known as C++98 and C++03. The new …   Wikipedia

  • Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

  • Class formation — In mathematics, a class formation is a structure used to organize the various Galois groups and modules that appear in class field theory. They were invented by Emil Artin and John Tate. Contents 1 Definitions 2 Examples of class formations 3 The …   Wikipedia

  • p-adic number — In mathematics, and chiefly number theory, the p adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number… …   Wikipedia

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