summation of series

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• Summation — Sum*ma tion, n. [Cf. F. sommation. See {Sum}, v. t.] The act of summing, or forming a sum, or total amount; also, an aggregate. [1913 Webster] Of this series no summation is possible to a finite intellect. De Quincey. [1913 Webster] …   The Collaborative International Dictionary of English

• summation sign — summation sign, Mathematics. the Greek capital letter sigma, used to denote the sum of a series of quantities …   Useful english dictionary

• 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

• 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 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

• 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

• Series acceleration — In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve… …   Wikipedia

• Series-parallel networks problem — In combinatorial mathematics, the series parallel networks problem asks for the number of series parallel networks that can be formed using a given number of edges. The edges can be distinguishable or indistinguishable.Indistinguishable edgesWhen …   Wikipedia

• summation — noun a) A summarization. b) An adding up of a series of items. See Also: in summation, sum, summate …   Wiktionary

• series — /ˈsɪəriz / (say searreez) noun (plural series) 1. a number of things, events, etc., ranged or occurring in spatial, temporal, or other succession; a sequence. 2. a set of radio or television programs which comprise a number of episodes but… …  

• summation method — Math. a method for associating a sum with a divergent series. * * * …   Universalium