number-theoretic formula

  • 101Permanent is sharp-P-complete — The correct title of this article is Permanent is #P complete. The substitution or omission of the # sign is because of technical restrictions. In a 1979 paper Leslie Valiant proved[1] that the problem of computing the permanent of a matrix is #P …

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  • 102Computability theory — For the concept of computability, see Computability. Computability theory, also called recursion theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown …

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  • 103Philosophy — • Detailed article on the history of the love of wisdom Catholic Encyclopedia. Kevin Knight. 2006. Philosophy     Philosophy     † …

    Catholic encyclopedia

  • 104Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… …

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  • 105Pseudoforest — A 1 forest (a maximal pseudoforest), formed by three 1 trees In graph theory, a pseudoforest is an undirected graph[1] in which every connected component has at most one cycle. That is, it is a system of vertices and edges connecting pairs of ve …

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  • 106mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …

    Universalium

  • 107Black–Scholes — The Black–Scholes model (pronounced /ˌblæk ˈʃoʊlz/[1]) is a mathematical model of a financial market containing certain derivative investment instruments. From the model, one can deduce the Black–Scholes formula, which gives the price of European …

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  • 108Coherent state — In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resemble the oscillating behaviour of a classical harmonic oscillator system. It was the first example of… …

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  • 109Renormalization group — In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the… …

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  • 110Game semantics — (German: dialogische Logik) is an approach to formal semantics that grounds the concepts of truth or validity on game theoretic concepts, such as the existence of a winning strategy for a player, somewhat resembling Socratic dialogues or medieval …

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