summability method

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• Summability criterion — The summability criterion is a voting system criterion, used to objectively compare voting systems. The criterion states:Each vote should be able to be mapped onto a summable array, such that its size at most grows polynomially with respect to… …   Wikipedia

• 1 − 2 + 3 − 4 + · · · — In mathematics, 1 − 2 + 3 − 4 + … is the infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as:sum {n=1}^m n( 1)^{n …   Wikipedia

• Divergent series — In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a limit. If a series converges, the individual terms of the series must approach… …   Wikipedia

• Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

• Silverman–Toeplitz theorem — In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in summability theory characterizing matrix summability methods that are regular. A regular matrix summability method is a matrix transformation of a… …   Wikipedia

• Improper integral — In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits.Specifically, an… …   Wikipedia

• Florence Marie Mears — (May 18, 1896, Baltimore, Maryland December 2, 1995) was a professor of mathematics at George Washington University.Background and EducationDr. Mears attended Baltimore public schools. She received her undergraduate degree in Mathematics at… …   Wikipedia

• Cesàro mean — In mathematics, the Cesàro means (also called Cesàro averages) of a sequence (an) are the terms of the sequence (cn), where is the arithmetic mean of the first n elements of (an). [1]:96 This concept is named after Ernesto Cesàro (1859 1906). A… …   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

• Zeta 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… …   Wikipedia

• Lambert summation — In mathematical analysis, Lambert summation is a summability method for a class of divergent series. DefinitionA series sum a n is Lambert summable to A , written sum a n = A (mathrm{L}), if:lim {r ightarrow 1 } (1 r) sum {n=1}^infty frac{n a n… …   Wikipedia