abelian function

  • 21Additive function — Different definitions exist depending on the specific field of application. Traditionally, an additive function is a function that preserves the addition operation:: f ( x + y ) = f ( x ) + f ( y )for any two elements x and y in the domain. An… …

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  • 22Zeta function regularization — In mathematics and theoretical physics, zeta function regularization is a type of regularization or summability method that assigns finite values to superficially divergent sums. The technique is now commonly applied to problems in physics, but… …

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  • 23Positive-definite function — In mathematics, the term positive definite function may refer to a couple of different concepts. Contents 1 In dynamical systems 2 In analysis 2.1 Bochner s theorem 2.1.1 Applications …

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  • 24Carmichael function — In number theory, the Carmichael function of a positive integer n, denoted lambda(n),is defined as the smallest positive integer m such that:a^m equiv 1 pmod{n}for every integer a that is coprime to n.In other words, in more algebraic terms, it… …

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  • 25Mathematics, Form and Function — is a survey of the whole of mathematics, including its origins and deep structure, by the American mathematician Saunders Mac Lane. Contents 1 Mac Lane s relevance to the philosophy of mathematics 2 Mathematics and human activities …

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  • 26Almost periodic function — In mathematics, almost periodic functions are functions of a real number that are periodic up to a small error, first studied by Harald Bohr. There are generalizations to almost periodic functions on locally compact abelian groups. Almost… …

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  • 27Locally constant function — In mathematics, a function f from a topological space A to a set B is called locally constant, iff for every a in A there exists a neighborhood U of a , such that f is constant on U .Every constant function is locally constant.Every locally… …

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  • 28Addition theorem — In mathematics, an addition theorem is a formula such as that for the exponential function: e x + y = e x · e y that expresses, for a particular function f , f ( x + y ) in terms of f ( x ) and f ( y ). Slightly more generally, as is the case… …

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  • 29Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… …

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  • 30Niels Henrik Abel — Born 5 August 1802( …

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