In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total. Beside numbers, other...
23 KB (4,580 words) - 15:19, 14 October 2024
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series. Although the...
7 KB (1,364 words) - 10:12, 29 August 2024
Einstein notation (redirect from Einstein summation convention)
(also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies summation over a set of indexed terms...
14 KB (2,049 words) - 01:26, 28 October 2024
In mathematical analysis, Cesàro summation (also known as the Cesàro mean or Cesàro limit) assigns values to some infinite sums that are not necessarily...
9 KB (1,504 words) - 19:44, 15 October 2024
Divergent series (redirect from Summation method)
with explicit and natural techniques such as Abel summation, Cesàro summation and Borel summation, and their relationships. The advent of Wiener's tauberian...
32 KB (5,028 words) - 01:29, 5 August 2024
Summation notation may refer to: Capital-sigma notation, mathematical symbol for summation Einstein notation, summation over like-subscripted indices...
179 bytes (51 words) - 05:51, 30 December 2019
Summation, which includes both spatial summation and temporal summation, is the process that determines whether or not an action potential will be generated...
19 KB (2,334 words) - 08:48, 30 December 2023
Euler–Maclaurin formula (redirect from Euler–Maclaurin summation formula)
Bernoulli functions. Cesàro summation Euler summation Gauss–Kronrod quadrature formula Darboux's formula Euler–Boole summation Apostol, T. M. (1 May 1999)...
19 KB (3,779 words) - 21:21, 15 October 2024
In numerical analysis, the Kahan summation algorithm, also known as compensated summation, significantly reduces the numerical error in the total obtained...
27 KB (3,532 words) - 06:58, 9 February 2024
Look up summation in Wiktionary, the free dictionary. Summation is a mathematical operation. Summation may also refer to: Addition Summation (neurophysiology)...
328 bytes (70 words) - 02:17, 27 May 2015
In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially)...
9 KB (2,162 words) - 19:23, 9 September 2024
Hess's law (redirect from Hess's Law of Heat Summation)
Hess’ law of constant heat summation, also known simply as Hess' law, is a relationship in physical chemistry named after Germain Hess, a Swiss-born Russian...
11 KB (1,408 words) - 12:35, 3 November 2024
Borel, then an unknown young man, discovered that his summation method gave the 'right' answer for many classical divergent series. He decided to make...
22 KB (3,525 words) - 22:11, 30 October 2024
mathematics, the Poisson summation formula is an equation that relates the Fourier series coefficients of the periodic summation of a function to values...
26 KB (4,350 words) - 14:43, 3 November 2024
Series (mathematics) (redirect from Infinite summation)
finance. Among the Ancient Greeks, the idea that a potentially infinite summation could produce a finite result was considered paradoxical, most famously...
78 KB (12,649 words) - 18:12, 25 October 2024
Retinal summation describes the relationship between different types of cells in the retina: cone photoreceptor cells, bipolar cells, and ganglion cells...
2 KB (191 words) - 06:21, 15 March 2019
Matsubara frequency (redirect from Matsubara frequency summation)
In thermal quantum field theory, the Matsubara frequency summation (named after Takeo Matsubara) is a technique used to simplify calculations involving...
21 KB (3,957 words) - 16:09, 28 October 2024
In mathematics, Hölder summation is a method for summing divergent series introduced by Hölder (1882). Given a series a 1 + a 2 + ⋯ , {\displaystyle a_{1}+a_{2}+\cdots...
1 KB (193 words) - 09:59, 29 August 2024
In the mathematics of convergent and divergent series, Euler summation is a summation method. That is, it is a method for assigning a value to a series...
4 KB (750 words) - 19:35, 24 December 2022
In numerical analysis, pairwise summation, also called cascade summation, is a technique to sum a sequence of finite-precision floating-point numbers that...
10 KB (1,409 words) - 16:57, 28 September 2024
Binocular summation refers to the improved visual performance of binocular vision compared to that of monocular vision. The most vital benefit of binocular...
6 KB (958 words) - 04:12, 20 February 2024
In mathematics, Mittag-Leffler summation is any of several variations of the Borel summation method for summing possibly divergent formal power series...
2 KB (337 words) - 17:25, 2 March 2023
{\displaystyle s(t)} by integer multiples of P. This is called periodic summation: s P ( t ) = ∑ n = − ∞ ∞ s ( t + n P ) {\displaystyle s_{P}(t)=\sum _{n=-\infty...
3 KB (314 words) - 20:39, 16 February 2023
Ewald summation, named after Paul Peter Ewald, is a method for computing long-range interactions (e.g. electrostatic interactions) in periodic systems...
17 KB (2,877 words) - 01:34, 13 December 2023
In mathematics, Abel's summation formula, introduced by Niels Henrik Abel, is intensively used in analytic number theory and the study of special functions...
5 KB (1,232 words) - 17:13, 14 April 2023
mathematics, a summation equation or discrete integral equation is an equation in which an unknown function appears under a summation sign. The theories...
1 KB (146 words) - 18:07, 29 October 2017
Clenshaw algorithm (redirect from Clenshaw summation)
In numerical analysis, the Clenshaw algorithm, also called Clenshaw summation, is a recursive method to evaluate a linear combination of Chebyshev polynomials...
10 KB (2,173 words) - 21:08, 28 October 2024
1 + 2 + 3 + 4 + ⋯ (section Ramanujan summation)
to yield a number of different mathematical results. For example, many summation methods are used in mathematics to assign numerical values even to a divergent...
33 KB (4,228 words) - 05:02, 24 September 2024
of 200. In general mathematics, uppercase Σ is used as an operator for summation. When used at the end of a letter-case word (one that does not use all...
16 KB (2,092 words) - 08:10, 1 November 2024
In telecommunications, the term summation check (sum check) has the following meanings: A checksum based on the formation of the sum of the digits of...
573 bytes (90 words) - 23:56, 15 September 2024