finite summation
1Summation — 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] …
2Finite difference — A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences… …
3Summation 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, *… …
4Summation — 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 …
5Kahan summation algorithm — In numerical analysis, the Kahan summation algorithm (also known as compensated summation) significantly reduces the numerical error in the total obtained by adding a sequence of finite precision floating point numbers, compared to the obvious… …
6Ewald 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… …
7Cesàro 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… …
8Borel 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… …
9Engineering treatment of the finite element method — This is a draft of a new explanation as suggested on . The finite element method (FEM) is a technique for finding approximate solutions to differential equations that is particularly useful in engineering. As of 2005, FEM is the primary analysis… …
10Atiyah–Bott fixed-point theorem — In mathematics, the Atiyah–Bott fixed point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed point theorem for smooth manifolds M , which uses an elliptic complex on M . This is a system of… …
