summability

summability
The condition of being summable

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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

  • summability — noun see sum I …   New Collegiate Dictionary

  • summability — sum·ma·bil·i·ty …   English syllables

  • summability — ˌsəməˈbiləd.ē noun : capability of being summed …   Useful english dictionary

  • summable — summability, n. /sum euh beuhl/, adj. Math. 1. capable of being added. 2. (of an infinite series, esp. a divergent one) capable of having a sum assigned to it by a method other than the usual one of taking the limit of successive partial sums. 3 …   Universalium

  • Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… …   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

  • 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

  • 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

  • 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

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