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Addition of several numbers or other values
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
Summation
Mathematical techniques for summing divergent infinite series
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series. Although the
Ramanujan_summation
Topics referred to by the same term
Look up summation in Wiktionary, the free dictionary. Summation is a mathematical operation. Summation may also refer to: Addition Summation (neurophysiology)
Summation_(disambiguation)
The summation generator, created in 1985, by Rainer Rueppel, was a cryptography and security front-runner in the late 1980s. It operates by taking the
Summation_generator
In mathematics, Mittag-Leffler summation is any of several variations of the Borel summation method for summing possibly divergent formal power series
Mittag-Leffler_summation
Shorthand notation for tensor operations
(also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies summation over a set of indexed terms
Einstein_notation
Algorithmic technique
In numerical analysis, pairwise summation, also called cascade summation, is a technique to sum a sequence of finite-precision floating-point numbers that
Pairwise_summation
Theorem to simplify sums of products of sequences
In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially)
Summation_by_parts
Equation composed of a function being summed
mathematics, a summation equation or discrete integral equation is an equation in which an unknown function appears under a summation sign. The theories
Summation_equation
Convergence of signalling in the retina
Retinal summation describes the relationship between different types of cells in the retina: cone photoreceptor cells, bipolar cells, and ganglion cells
Retinal_summation
Computation method named after Paul Peter Ewald
Ewald summation, named after Paul Peter Ewald, is a method for computing long-range interactions (e.g. electrostatic interactions) in periodic systems
Ewald_summation
Summation method for some divergent series
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
Euler_summation
Algorithm in numerical analysis
In numerical analysis, the Kahan summation algorithm, also known as compensated summation, significantly reduces the numerical error in the total obtained
Kahan_summation_algorithm
Modified summation method applicable to some divergent series
In mathematical analysis, Cesàro summation assigns values to some infinite sums that are not necessarily convergent in the usual sense. The Cesàro sum
Cesàro_summation
Summation method for divergent series
Borel, then an unknown young man, discovered that his summation method gave the 'right' answer for many classical divergent series. He decided to make
Borel_summation
Infinite series that is not convergent
with explicit and natural techniques such as Abel summation, Cesàro summation and Borel summation, and their relationships. The advent of Wiener's tauberian
Divergent_series
Summation formula
Bernoulli functions. Cesàro summation Euler summation Gauss–Kronrod quadrature formula Darboux's formula Euler–Boole summation Apostol, T. M. (1 May 1999)
Euler–Maclaurin_formula
Mathematical technique in thermal field theory
In thermal quantum field theory, the Matsubara summation (named after Takeo Matsubara) is a technique used to simplify calculations involving Euclidean
Matsubara_summation
Topics referred to by the same term
Summation notation may refer to: Capital-sigma notation, mathematical symbol for summation Einstein notation, summation over like-subscripted indices
Summation_notation
Process in neuroscience
Summation, which includes both spatial summation and temporal summation, is the process that determines whether or not an action potential will be generated
Summation_(neurophysiology)
Method for summing divergent series
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
Hölder_summation
Equation in Fourier analysis
mathematics, the Poisson summation formula is an equation that relates the Fourier series coefficients of the periodic summation of a function to values
Poisson_summation_formula
Optical concept
Binocular summation refers to the improved visual performance of binocular vision compared to that of monocular vision. Use of binocular vision helps
Binocular_summation
Sum of a function's values every _P_ offsets
{\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
Periodic_summation
Integration by parts version of Abel's method for summation by parts
In mathematics, Abel's summation formula, introduced by Niels Henrik Abel, is intensively used in analytic number theory and the study of special functions
Abel's_summation_formula
Summability method for a class of divergent series
In mathematical analysis and analytic number theory, Lambert summation is a summability method for summing infinite series related to Lambert series specially
Lambert_summation
Infinite sum
finance. Among the Ancient Greeks, the idea that a potentially infinite summation could produce a finite result was considered paradoxical, most famously
Series_(mathematics)
Eighteenth letter of the Greek alphabet
a value of 200. In general mathematics, Σ is used as an operator for summation. The Latin letter S derives from sigma while the Cyrillic letter Es (С)
Sigma
Property of a mass in motion
In Newtonian mechanics, momentum (pl.: momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and
Momentum
Telecommunication term
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
Summation_check
Thermodynamic law in chemistry
In physical chemistry and thermodynamics, Hess's law of constant heat summation, also known simply as Hess's law, is a scientific law named after Germain
Hess's_law
Number of nonzero symbols in a string
it is also called the population count, popcount, sideways sum, or bit summation. The Hamming weight is named after the American mathematician Richard
Hamming_weight
Divergent series
particular, the methods of zeta function regularization and Ramanujan summation assign the series a value of −+1/12, which is expressed by the famous
1_+_2_+_3_+_4_+_⋯
Infinite series with alternating signs
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
1_−_2_+_3_−_4_+_⋯
Inverse of a finite difference
For integer arguments, the indefinite sum naturally extends ordinary summation, turning a discrete sum into a continuous function. Many such extensions
Indefinite_sum
Family of functions in mathematics
Fejér kernel is a summability kernel used to express the effect of Cesàro summation on Fourier series. It is a non-negative kernel, giving rise to an approximate
Fejér_kernel
Function defined by a hypergeometric series
identity. For generalization of Kummer's summation, see Lavoie, Grondin & Rathie (1996). Gauss's second summation theorem is 2 F 1 ( a , b ; 1 2 ( 1 + a
Hypergeometric_function
Argument against U.S. healthcare reform
the conservative Supreme Court Justice Antonin Scalia in 2012, in his summation against healthcare reform. On March 27 of that year, Justice Scalia asked
Broccoli_mandate
Function in discrete mathematics
function. Since periodic summation of the function means discretizing its frequency spectrum and discretization means periodic summation of the spectrum, the
Discrete_Fourier_transform
Divergent series that can be summed by Borel summation
divergent, it can be assigned a value of approximately 0.596347 by Borel summation. This series was first considered by Euler, who applied summability methods
1_−_1_+_2_−_6_+_24_−_120_+_⋯
Branch of mathematics
representation of s P ( t ) {\displaystyle s_{_{P}}(t)} in terms of a summation of a potentially infinite number of harmonically related sinusoids or
Fourier_analysis
The Wolf summation is a method for computing the electrostatic interactions of systems (e.g. crystals). This method is generally more computationally
Wolf_summation
System with self-optimizing transfer function
filter coefficients, ε = error output, f = filter impulse response, * = convolution, Σ = summation, upper box=linear filter, lower box=adaption algorithm
Adaptive_filter
Summation formula in Mathematics
In mathematics, the Abel–Plana formula is a summation formula discovered independently by Niels Henrik Abel (1823) and Giovanni Antonio Amedeo Plana (1820)
Abel–Plana_formula
Infinite series summing alternating 1 and -1 terms
number of mathematically interesting results. In particular, various summation methods (techniques for assigning numerical values even to a divergent
Grandi's_series
most well known of these are flux and concentration control coefficient summation relationships. These theorems are the result of the stoichiometric structure
Summation theorems (biochemistry)
Summation_theorems_(biochemistry)
Any process that modulates the potential difference across a post-synaptic membrane
Postsynaptic potentials undergo spatial and temporal summation due to their graded nature. Spatial summation: When inputs are received simultaneously at nearby
Postsynaptic_potential
Used in the summation of divergent series
Abelian and Tauberian theorems give similar results for more general summation methods. There is not yet a clear distinction between Abelian and Tauberian
Abelian and Tauberian theorems
Abelian_and_Tauberian_theorems
Climate classification system
technique for classifying the climate of wine growing regions based on heat summation or growing degree-days. In the system, geographical areas are divided
Winkler_index
Electrical signal inhibiting a neuron from firing
can also affect the inhibitory postsynaptic potential. Simple temporal summation of postsynaptic potentials occurs in smaller neurons, whereas in larger
Inhibitory postsynaptic potential
Inhibitory_postsynaptic_potential
Impulse transmission between neurons
connects with numerous other neurons, receiving numerous impulses from them. Summation is the adding together of these impulses at the axon hillock. If the neuron
Neurotransmission
Activation of tension-generating sites in muscle
thereby producing a summation. Summation can be achieved in two ways: frequency summation and multiple fiber summation. In frequency summation, the force exerted
Muscle_contraction
Pair of functions in combinatorics
In mathematics, specifically combinatorics, a Wilf–Zeilberger pair, or WZ pair, is a pair of functions that can be used to certify certain combinatorial
Wilf–Zeilberger_pair
Infinite series that diverges
example, many summation methods are used in mathematics to assign numerical values even to divergent series. In particular, the Ramanujan summation of this
1_+_2_+_4_+_8_+_⋯
Construction for n-dimensional noise functions
coordinate skewing, simplicial subdivision, gradient selection, and kernel summation. An input coordinate is transformed using the formula x ′ = x + ( x +
Simplex_noise
Summation where the number of terms is zero
In mathematics, an empty sum, or nullary sum, is a summation where the number of terms is zero. The natural way to extend non-empty sums is to let the
Empty_sum
Summation method for some divergent series
Euler–Boole summation is a method for summing alternating series. The concept is named after Leonhard Euler and George Boole. Boole published this summation method
Euler–Boole_summation
Mathematical notation
bracket allows using capital-sigma notation without restriction on the summation index. That is, for any property P ( k ) {\displaystyle P(k)} of the integer
Iverson_bracket
Summation of numbers by accumulation
A running total or rolling total is the summation of a sequence of numbers which is updated each time a new number is added to the sequence, by adding
Running_total
American musician (born 1969)
was sentenced to a minimum of twenty years in prison. In his closing summation, Lord Nimmo Smith said he believed Mitchell "carried an image of [Manson's]
Marilyn_Manson
Summation formula
series. It is a generalization to the complex plane of the Euler–Maclaurin summation formula, which is used for similar purposes and derived in a similar manner
Darboux's_formula
Deity and symbol in the occult traditions
represent the reconciliation of opposites, esoteric knowledge, and the summation of the universe. The name Baphomet appeared in July 1098 in a letter about
Baphomet
Generalized average used for summability
Acta Mathematica. 41: 119–196. doi:10.1007/BF02422942. Volkov, I.I. (2001) [1994], "Riesz summation method", Encyclopedia of Mathematics, EMS Press
Riesz_mean
Approximation technique in integral calculus
and gives a lower Riemann sum or lower Darboux sum. All these Riemann summation methods are among the most basic ways to accomplish numerical integration
Riemann_sum
Concluding statement of each party's counsel in a trial
A closing argument, summation, or summing up is the concluding statement of each party's counsel reiterating the important arguments for the trier of
Closing_argument
Method in numerical analysis
In numerical analysis, the Clenshaw algorithm, also called Clenshaw summation, is a recursive method to evaluate a linear combination of Chebyshev polynomials
Clenshaw_algorithm
Infinite series that diverges
associated with the value 1/3, which is the result of applying various summation methods to the series, as well as the limit of the series using the 2-adic
1_−_2_+_4_−_8_+_⋯
Season of television series
finally have their annual birthday coital festivities. 219 12 "The Holiday Summation" Mark Cendrowski Story by : Steven Molaro & Eric Kaplan & Tara Hernandez
The_Big_Bang_Theory_season_10
English polymath (1642–1727)
partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula) and was the first to use power series with confidence and to
Isaac_Newton
2009 film by James Cameron
from the original (Blog) on December 26, 2009. Dozois, Gardner (2010). "Summation: 2009". The Year's Best Science Fiction: Twenty-Seventh Annual Collection
Avatar_(2009_film)
Study of general and fundamental questions
Schools of Thought McQueen 2010, p. 162 McKeon 2002, Lead Section, § Summation Overgaard & D'Oro 2017, pp. 1, 4–5, Introduction Mehrtens 2010, Methode/Methodologie
Philosophy
Summation method for hypergeometric terms
1978) [1977-09-26]. "Decision procedure for indefinite hypergeometric summation" (PDF). Proceedings of the National Academy of Sciences of the United
Gosper's_algorithm
Type of vision
eye alone. Vision can be better (binocular summation) or worse (binocular inhibition). In binocular summation, the signals from both eyes reinforce each
Binocular_vision
Combinatorial sequence of numbers
estimates of M ( n ) {\displaystyle M(n)} and an exact expression as a summation are known. However Dedekind's problem of computing the values of M ( n
Dedekind_number
Proportion in thermal radiation
{\displaystyle S_{i}} , within the enclosure is unity as defined by the summation rule ∑ j = 1 n F S i → S j = 1 {\displaystyle \sum _{j=1}^{n}{F_{S_{i}\rightarrow
View_factor
Inference algorithm for probabilistic graphical models
Variable elimination (VE) is a simple and general exact inference algorithm in probabilistic graphical models, such as Bayesian networks and Markov random
Variable_elimination
American businessman
political subjects, as well as Business Week and his own blog called Summation. Hoffman is a Republican and a political contributor. Hoffman contributed
Auren_Hoffman
Gives the value of a summation involving the floor function
identity of Hermite, named after Charles Hermite, gives the value of a summation involving the floor function. It states that for every real number x and
Hermite's_identity
the District of Columbia by annual net combined migration, which is the summation of domestic and international migration. There is a separate table for
List of U.S. states and territories by net migration
List_of_U.S._states_and_territories_by_net_migration
Sneezing in response to numerous stimuli
branch of the trigeminal nerve, which results in summation in the trigeminal nuclei. This summation can lead to a sneeze in the unconscious patient. A
Photic_sneeze_reflex
Algorithm to compute rounding error
used implicitly in other algorithms such as compensated summation algorithms; Kahan's summation algorithm was published first in 1965, and Fast2Sum was
2Sum
Financial analysis indicator
index. The McClellan Summation Index (MSI) is calculated by adding each day's McClellan oscillator to the previous day's summation index. MSI properties:
McClellan_oscillator
Tensor index notation for tensor-based calculations
convenience, the Ricci calculus incorporates Einstein notation, which implies summation over indices repeated within a term and universal quantification over
Ricci_calculus
Relation between pairs of arithmetic functions
August Ferdinand Möbius. A large generalization of this formula applies to summation over an arbitrary locally finite partially ordered set, with Möbius' classical
Möbius_inversion_formula
Collection of attributes
In literary theory, textuality comprises all of the attributes that distinguish the communicative content under analysis as an object of study. It is associated
Textuality
Script used to write the Greek language
the circumference of a circle to its diameter, capital sigma (Σ) for summation, and lower case sigma (σ) for standard deviation. For many years the Greek
Greek_alphabet
Continuous probability distribution
The generalised hyperbolic distribution (GH) is a continuous probability distribution defined as the normal variance-mean mixture where the mixing distribution
Generalised hyperbolic distribution
Generalised_hyperbolic_distribution
Finds the sum of certain infinite series involving Bessel functions of the first kind
independently. Lerche's formula has γ =1; both extend a standard rule for the summation of Bessel functions, and are useful in plasma physics. Newberger, Barry
Lerche–Newberger_sum_rule
Arab physicist, mathematician and astronomer (c. 965 – c. 1040)
Alhazen's geometrically proven summation formula
Ibn_al-Haytham
loudness summation, and her research with Michael J. Epstein has indicated that, in more ecologically valid experiments, the binaural loudness summation ratio
Mary_Florentine
Cryptographic hash function
of finding low degree solutions to the summation polynomial equations over binary field, called the Summation Polynomial Problem. An efficient algorithm
Elliptic_curve_only_hash
Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise
is obtained by using the values of the Kronecker delta to reduce the summation over j {\displaystyle j} . It is common for i and j to be restricted to
Kronecker_delta
Changes in membrane potential varying in size
potential is determined by the strength of the stimulus. They arise from the summation of the individual actions of ligand-gated ion channel proteins, and decrease
Graded_potential
Construction analogous to that of a dual vector space
more broadly. For instance, it is used in the statement of the Poisson summation formula, transference theorems provide connections between the geometry
Dual_lattice
Umayyad caliph from 680 to 683
successful in winning over the opposition with gifts and bribes. In Hawting's summation, "the image of Muʿāwiya as operating more like a tribal s̲h̲ayk̲h̲ than
Yazid_I
Periodic rectangular waveform
Fourier series of a 33.3% pulse wave, first fifty harmonics (summation in red)
Pulse_wave
Unicode character block
block containing various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators
Supplemental Mathematical Operators
Supplemental_Mathematical_Operators
Italian mathematician (1859–1906)
Cesàro curves. He is also known for his 'averaging' method for the Cesàro summation of divergent series, also known as the "Cesàro mean". After a rather disappointing
Ernesto_Cesàro
American business service company
after being acquired by Wolters Kluwer in 2004, Summation Legal Technologies becomes CT Summation joining CT TyMetrix in CT Corporation's Litigation
CT_Corporation
Fourier analysis technique applied to sequences
spaced samples it produces a function of frequency that is a periodic summation of the continuous Fourier transform of the original continuous function
Discrete-time Fourier transform
Discrete-time_Fourier_transform
SUMMATION
SUMMATION
SUMMATION
SUMMATION
Girl/Female
Arabic, Hindu, Indian, Modern, Tamil, Telugu
Glorious; Shining; Brightness; Bright
Boy/Male
Arabic, Bengali, Islamic, Muslim, Pakistani, Urdu
Balance of God
Girl/Female
Biblical
City of streets, populous city.
Girl/Female
Indian, Kannada
Name of a Flower
Boy/Male
Indian
Successful
Boy/Male
Hindu
The first Ray of light, Part of parents, Gift of God
Boy/Male
German, Spanish
Champion; Form of Niall
Girl/Female
Tamil
Rain
Female
Native American
Native American Hopi name TABLITA means "tiara."
Boy/Male
Muslim
Best friend of the faith
SUMMATION
SUMMATION
SUMMATION
SUMMATION
SUMMATION
v. t.
The act of summing, or forming a sum, or total amount; also, an aggregate.
n.
Wrong summation.