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abstract theorem

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  • Abstract analytic number theory — is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the… …   Wikipedia

  • Abstract nonsense — Abstract nonsense, or general abstract nonsense, alternatively general nonsense, is a popular term used by mathematicians to describe certain kinds of arguments and concepts in category theory or applications.HistoryThe term predates the… …   Wikipedia

  • Abstract algebra — This article is about the branch of mathematics. For the Swedish band, see Abstrakt Algebra. The permutations of Rubik s Cube have a group structure; the group is a fundamental concept within abstract algebra. Abstract algebra is the subject area …   Wikipedia

  • Abstract interpretation — In computer science, abstract interpretation is a theory of sound approximation of the semantics of computer programs, based on monotonic functions over ordered sets, especially lattices. It can be viewed as a partial execution of a computer… …   Wikipedia

  • Abstract rewriting system — In mathematical logic and theoretical computer science, an abstract rewriting system (also (abstract) reduction system or abstract rewrite system; abbreviation ARS) is a formalism that captures the quintessential notion and properties of… …   Wikipedia

  • Abstract algebraic logic — In mathematical logic, abstract algebraic logic (AAL) studies the ways in which classes of algebras may be associated with logical systems, and how these classes of algebras interact with logical systems.OverviewThe archetypal association of this …   Wikipedia

  • Abstract Wiener space — An abstract Wiener space is a mathematical object in measure theory, used to construct a decent (strictly positive and locally finite) measure on an infinite dimensional vector space. It is named after the American mathematician Norbert Wiener.… …   Wikipedia

  • Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …   Wikipedia

  • Abstract simplicial complex — In mathematics, an abstract simplicial complex is a purely combinatorial description of the geometric notion of a simplicial complex, consisting of a family of finite sets closed under the operation of taking subsets. In the context of matroids… …   Wikipedia

  • Theorem of the cube — In mathematics, the theorem of the cube is a foundational result in the algebraic geometry of a complete variety. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The specific… …   Wikipedia

  • Abstract index group — In operator theory, every Banach algebra can be associated with a group called its abstract index group. Definition Let A be a Banach algebra and G the group of invertible elements in A . The set G is open and a topological group. Consider the… …   Wikipedia

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