summation theory

summation theory
мат.
теория суммирования

English-Russian scientific dictionary. 2008.

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  • Summation of Grandi's series — General considerationstability and linearityThe formal manipulations that lead to 1 − 1 + 1 − 1 + · · · being assigned a value of 1⁄2 include: *Adding or subtracting two series term by term, *Multiplying through by a scalar term by term, *… …   Wikipedia

  • Cesàro summation — For the song Cesaro Summability by the band Tool, see Ænima. In mathematical analysis, Cesàro summation is an alternative means of assigning a sum to an infinite series. If the series converges in the usual sense to a sum A, then the series is… …   Wikipedia

  • Poisson summation formula — The Poisson summation formula is an equation relating the coefficients of the Fourier Series of the periodic extension of a function in terms of the values of the function s continuous Fourier transform. The Poisson Summation Formula was… …   Wikipedia

  • Euler summation — is a summability method for convergent and divergent series. Given a series Σ a n , if its Euler transform converges to a sum, then that sum is called the Euler sum of the original series.Euler summation can be generalized into a family of… …   Wikipedia

  • Mohr–Coulomb theory — Continuum mechanics …   Wikipedia

  • Heim theory — is a collection of ideas about the fundamental laws of physics proposed by Burkhard Heim [http://www.igw resch verlag.at/resch verlag/burkhard heim/band1.html] , [http://www.igw resch verlag.at/resch verlag/burkhard heim/band2.html] and further… …   Wikipedia

  • Scalar field theory — In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A field which is invariant under any Lorentz transformation is called a scalar , in contrast to a vector or tensor field. The quanta of the… …   Wikipedia

  • Mean field theory — (MFT, also known as self consistent field theory) is a method to analyse physical systems with multiple bodies. A many body system with interactions is generally very difficult to solve exactly, except for extremely simple cases (random field… …   Wikipedia

  • Borel summation — In mathematics, a Borel summation is a generalisation of the usual notion of summation of a series. In particular it gives a definition of a quantity that in many ways behaves formally like the sum, even if the series is in fact… …   Wikipedia

  • probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

  • Perturbation theory (quantum mechanics) — In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a …   Wikipedia


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