summation formula

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• 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

• Fórmula de Euler-Maclaurin — En matemáticas, la fórmula de Euler Maclaurin relaciona a integrales con series. Esta fórmula puede ser usada para aproximar integrales por sumas finitas o, de forma inversa, para evaluar series (finitas o infnitas) resolviendo integrales. La… …   Wikipedia Español

• Summation — For evaluation of sums in closed form see evaluating sums. : Summation is also a term used to describe a process in synapse biology. Summation is the addition of a set of numbers; the result is their sum or total . The numbers to be summed may be …   Wikipedia

• Summation by parts — In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially) estimation of certain types of sums. The summation by parts formula is sometimes called… …   Wikipedia

• Euler–Maclaurin formula — In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using… …   Wikipedia

• Ewald summation — is a method for computing the interaction energies of periodic systems (e.g. crystals), particularly electrostatic energies. Ewald summation is a special case of the Poisson summation formula, replacing the summation of interaction energies in… …   Wikipedia

• Bailey–Borwein–Plouffe formula — The Bailey–Borwein–Plouffe formula (BBP formula) provides a spigot algorithm for the computation of the n th binary digit of π. This summation formula was discovered in 1995 by Simon Plouffe. The formula is named after the authors of the paper in …   Wikipedia

• Ramanujan summation — is a technique invented by the mathematician Srinivasa Ramanujan for assigning a sum to infinite divergent series. Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties which make it… …   Wikipedia

• Leibniz formula for pi — See Leibniz formula for other formulas known under the same name. In mathematics, the Leibniz formula for pi;, named after Gottfried Leibniz, states that:1 , , frac{1}{3} ,+, frac{1}{5} , , frac{1}{7} ,+, frac{1}{9} , , cdots ;=; frac{pi}{4}.!The …   Wikipedia

• Darboux's formula — Not to be confused with Christoffel–Darboux formula. In mathematical analysis, Darboux s formula is a formula introduced by Gaston Darboux (1876) for summing infinite series by using integrals or evaluating integrals using infinite series.… …   Wikipedia

• Selberg trace formula — In mathematics, the Selberg trace formula is a central result, or area of research, in non commutative harmonic analysis. It provides an expression for the trace, in a sense suitably generalising that of the trace of a matrix, for suitable… …   Wikipedia