approximation theory

  • 111Independent electron approximation — Independent electron approximationboth in the case of free electron theory and nearly free electron approximation we use independent electron approximation. according to this we do not consider electron electron interaction in a crystal. the… …

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  • 112Universal approximation theorem — In the mathematical theory of neural networks, the universal approximation theorem states[1] that the standard multilayer feed forward network with a single hidden layer that contains finite number of hidden neurons, and with arbitrary activation …

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  • 113Coupled mode theory — (CMT) is a paradigm that allows one to solve physical problems involving systems in vibration of different kinds: mechanical, optical, electrical and others. The system is made of different resonating sub components that interact together. The… …

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  • 114Discrepancy theory — In mathematics, discrepancy theory describes the deviation of a situation from the state one would like it to be. It is also called theory of irregularities of distribution. This refers to the theme of classical discrepancy theory, namely… …

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  • 115Crossing number (graph theory) — A drawing of the Heawood graph with three crossings. This is the minimum number of crossings among all drawings of this graph, so the graph has crossing number cr(G) = 3. In graph theory, the crossing number cr(G) of a graph G is the… …

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  • 116Saison 1 de The Big Bang Theory — Série The Big Bang Theory Pays d’origine  États Unis Chaîne d’origine CBS Dif …

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  • 117Effective results in number theory — For historical reasons and in order to have application to the solution of Diophantine equations, results in number theory have been scrutinised more than in other branches of mathematics to see if their content is effectively computable. Where… …

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  • 118Stationary phase approximation — In mathematics, the stationary phase approximation is a basic principle of asymptotic analysis, applying to oscillatory integrals taken over n dimensional space Rn where i is the imaginary unit. Here f and g are real valued smooth functions. The… …

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  • 119Asymptotic theory — is the branch of mathematics which studies properties of asymptotic expansions.The most known result of this field is the prime number theorem:Let pi;( x ) be the number of prime numbers that are smaller than or equal to x .The limit:lim {x… …

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  • 120Arakelov theory — (or Arakelov geometry) is an approach to diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. BackgroundArakelov geometry studies a scheme X over the ring of integers Z, by putting… …

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