Look up sum in Wiktionary, the free dictionary. Sum most commonly means the total of two or more numbers added together; see addition. Sum can also refer...

Sumer (/ˈsuːmər/ SOO-mər) is the earliest known civilization, located in the historical region of southern Mesopotamia (now south-central Iraq), emerging...

Sylvia Lai Sui-Pun (born 23 June 1951), also known by her stage name Sum Sum, is a semi-retired Hong Kong singer and actress. Lai was born in Hong Kong...

A lump sum is a single payment of money, as opposed to a series of payments made over time (such as an annuity). The United States Department of Housing...

Dim sum (traditional Chinese: 點心; simplified Chinese: 点心; pinyin: diǎn xīn; Jyutping: dim2 sam1) is a large range of small Chinese dishes that are traditionally...

Sum 41 was a Canadian rock band formed in Ajax, Ontario, in 1996. The band's final lineup consisted of Deryck Whibley (lead vocals, rhythm guitar, keyboards)...

sum is a sum ∑ χ ( n ) {\textstyle \sum \chi (n)} of values of a Dirichlet character χ modulo N, taken over a given range of values of n. Such sums are...

Jacobsthal sums are finite sums of Legendre symbols related to Gauss sums. They were introduced by Jacobsthal (1907). The Jacobsthal sum is given by...

addends or summands; the result is their sum or total. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials...

sum _{i}x_{i}&&=\sum _{i}\tan \theta _{i}\\[6pt]e_{2}&=\sum _{i<j}x_{i}x_{j}&&=\sum _{i<j}\tan \theta _{i}\tan \theta _{j}\\[6pt]e_{3}&=\sum...

In mathematics, an Eisenstein sum is a finite sum depending on a finite field and related to a Gauss sum. Eisenstein sums were introduced by Eisenstein...

Zero-sum game is a mathematical representation in game theory and economic theory of a situation that involves two competing entities, where the result...

The Latin cogito, ergo sum, usually translated into English as "I think, therefore I am", is the "first principle" of the philosophy of the French scientist...

and elsewhere, sums of squares occur in a number of contexts: For partitioning of variance, see Partition of sums of squares For the "sum of squared deviations"...

In convex geometry and the geometry of convex polytopes, the Blaschke sum of two polytopes is a polytope that has a facet parallel to each facet of the...

Choy sum (also spelled choi sum or choi sam in Cantonese; caixin (Chinese: 菜心; pinyin: càixīn) in Standard Mandarin) is a leafy vegetable commonly used...

The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers...

Zero-sum thinking perceives situations as zero-sum games, where one person's gain would be another's loss. The term is derived from game theory. However...

In the mathematics of combinatorial games, the sum or disjunctive sum of two games is a game in which the two games are played in parallel, with each player...

Look up civis romanus sum in Wiktionary, the free dictionary. The Latin phrase cīvis Rōmānus sum (Classical Latin: [ˈkiːwis roːˈmaːnus ˈsũː]; "I am (a)...

A sum certain is a specified and set amount of money owed by one person to another. It is a legal term of art, having specialized meaning in the law....

In mathematics, a Riemann sum is a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician...

In mathematics and statistics, sums of powers occur in a number of contexts: Sums of squares arise in many contexts. For example, in geometry, the Pythagorean...

mathematics, a formal sum, formal series, or formal linear combination may be: In group theory, an element of a free abelian group, a sum of finitely many...

The sum (ISO code: UZS) is the official currency of the Republic of Uzbekistan. the Government replaced the Soviet Ruble with the Sum at par on 16 July...

In mathematics, Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p, with p congruent to 1 modulo 3. They are named after Ernst...

The Sum of Us can refer to: The Sum of Us: What Racism Costs Everyone and How We Can Prosper Together, a 2021 best-selling political book by Heather McGhee...

In number theory, Ramanujan's sum, usually denoted cq(n), is a function of two positive integer variables q and n defined by the formula c q ( n ) = ∑...

In mathematics, a Jacobi sum is a type of character sum formed with Dirichlet characters. Simple examples would be Jacobi sums J(χ, ψ) for Dirichlet characters...

residual sum of squares (RSS), also known as the sum of squared residuals (SSR) or the sum of squared estimate of errors (SSE), is the sum of the squares...

digital sum: The digit sum - add the digits of the representation of a number in a given base. For example, considering 84001 in base 10 the digit sum would...

In computer science, the prefix sum, cumulative sum, inclusive scan, or simply scan of a sequence of numbers x0, x1, x2, ... is a second sequence of numbers...

In mathematics, a sum of radicals is defined as a finite linear combination of nth roots: ∑ i = 1 n k i x i r i , {\displaystyle \sum...

In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds...

the sum of reciprocals (or sum of inverses) is defined as the sum of reciprocals of some series of positive integers (counting numbers). It is a sum of...

fiber sum. The symplectic sum is the inverse of the symplectic cut, which decomposes a given manifold into two pieces. Together the symplectic sum and cut...

The Summa Logicae ("Sum of Logic") is a textbook on logic by William of Ockham. It was written around 1323. Systematically, it resembles other works of...

In algebraic number theory, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically G ( χ ) := G ( χ , ψ ) = ∑ χ (...

Sum rule may refer to: Sum rule in differentiation, Differentiation rules #Differentiation is linear Sum rule in integration, see Integral #Properties...

of these sums exist via the completeness of the real numbers and whether series terms can be rearranged or not without changing their sums using absolute...

Look up dim sum in Wiktionary, the free dictionary. Dim sum is a type of cuisine, a range of small dishes in small pieces served typically for breakfast...

mathematics, a clique sum (or clique-sum) is a way of combining two graphs by gluing them together at a clique, analogous to the connected sum operation in topology...

i | n . {\displaystyle \mathrm {MAE} ={\frac {\sum _{i=1}^{n}\left|y_{i}-x_{i}\right|}{n}}={\frac {\sum _{i=1}^{n}\left|e_{i}\right|}{n}}.} It is thus...

Dim sum bonds are bonds issued outside of Mainland China but denominated in Chinese renminbi, rather than the local currency. Dim sum bonds are predominantly...

Lump sum turnkey (LSTK) is a combination of the business-contract concepts of lump sum and turnkey. Lump sum is a noun which means a complete payment...

A sum is an administrative division used in China, Mongolia, and Russia. Countries such as China and Mongolia have employed the sum as administrative...

In knot theory, a Murasugi sum is a way of combining the Seifert surfaces of two knots or links, given with embeddings in space of each knot and of a...

mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci...

In mathematics, more specifically in algebra, the direct sum of a collection of abelian groups is an abelian group constructed by combining the given...

Zero-sum problem, Zero-sum thinking, "Zero Sum" (The X-Files episode) Monthly Comic Zero Sum, a monthly shōjo manga published by Ichijinsha "Zero-Sum", a...

Ego Sum is a comic book trilogy written and illustrated by Italian artist Simone Bianchi. The first volume was published on 16 January 2004 in Italy,...

In number theory, zero-sum problems are certain kinds of combinatorial problems about the structure of a finite abelian group. Concretely, given a finite...

absolute deviation; for example, the variance of a sum of uncorrelated random variables is equal to the sum of their variances. A disadvantage of the variance...

algebra, a conjugacy class sum, or simply class sum, is a function defined for each conjugacy class of a finite group G as the sum of the elements in that...

and that cannot be expressed as a sum of three cubes? More unsolved problems in mathematics In the mathematics of sums of powers, it is an open problem...

Sum/One is an album by Beedeegee. Thomas, Fred. "Sum/One – bEEdEEgEE". Allmusic. Rovi Corporation. Retrieved December 3, 2014. William Cowen, Trace (December...

science and computer science. Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly balanced by the...

October, but the order was reversed in the film adaptations. Additionally, The Sum of All Fears departs significantly from its source material, with the events...

In number theory, quadratic Gauss sums are certain finite sums of roots of unity. A quadratic Gauss sum can be interpreted as a linear combination of...

infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its...

In statistics, the explained sum of squares (ESS), alternatively known as the model sum of squares or sum of squares due to regression (SSR – not to be...

This is the complete discography of the Canadian rock band Sum 41. The band has released eight studio albums, three live albums, one compilation album...

multiple subset sum problem is an optimization problem in computer science and operations research. It is a generalization of the subset sum problem. The...

Sammy Sum Chun-hin (born 4 May 1983) is an actor based in Hong Kong. Sammy Sum speaks fluent Hong Kong Cantonese, Mandarin Chinese, Canadian French and...

The prescribed sum is the maximum fine that may be imposed on summary conviction of certain offences in the United Kingdom. In England and Wales and Northern...

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 be the...

calculus of finite differences, the indefinite sum (or antidifference operator), denoted by ∑ x {\textstyle \sum _{x}} or Δ − 1 {\displaystyle \Delta ^{-1}}...

Kanuti Sum (1934 – before 2007) was a Kenyan long-distance runner. He competed in the marathon at the 1956 Summer Olympics and the 1960 Summer Olympics...

In geometric topology, a band sum of two n-dimensional knots K1 and K2 along an (n + 1)-dimensional 1-handle h called a band is an n-dimensional knot...

Fahri Sümer (born 1958), Turkish boxer Özkan Sümer (1940–2020), Turkish football player and coach Sümer Koçak (1961–2020), Turkish wrestler Sümer Oral...

mathematics, the digit sum of a natural number in a given number base is the sum of all its digits. For example, the digit sum of the decimal number 9045...

In mathematics, an integral is the continuous analog of a sum, and is used to calculate areas, volumes, and their generalizations. The process of computing...

total sum of squares is the sum of the so-called "within-samples" sum of squares and "between-samples" sum of squares, i.e., partitioning of the sum of squares...

n {\displaystyle \sum _{n=0}^{\infty }\mathbf {x} _{n}} consisting of vectors in R3 is absolutely convergent provided that the sum of the lengths converges...

The Sum of All Fears is a 2002 American spy thriller film directed by Phil Alden Robinson, based on Tom Clancy's 1991 novel of the same name. The film...

mathematics, the disjoint union (also called the direct sum, free union, free sum, topological sum, or coproduct) of a family of topological spaces is a...

n − 1 ) + n = ∑ k = 1 n k . {\displaystyle T_{n}=1+2+3+\cdots +(n-1)+n=\sum _{k=1}^{n}k.} Triangular numbers are the simplest kind of figurate number...

In mathematics, specifically in commutative algebra, the power sum symmetric polynomials are a type of basic building block for symmetric polynomials...

sums of squares is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the partitioning of sums of...

In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function...

In number theory, the aliquot sum s(n) of a positive integer n is the sum of all proper divisors of n, that is, all divisors of n other than n itself...

abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The direct sum of modules is the smallest module...

A of an abelian group G is said to be sum-free if the sumset A + A is disjoint from A. In other words, A is sum-free if the equation a + b = c {\displaystyle...

SUM Air (Korean: 섬에어; RR: Seomeeo) is a South Korean regional airline based in Gangseo District, Seoul, South Korea. In February 2025 the airline received...

In mathematics, Dedekind sums are certain finite sums of products of a sawtooth function. Dedekind introduced them in the 1880's to express the functional...

The Sum of All Fears is a political thriller novel, written by Tom Clancy and released on August 14, 1991, as the sequel to Clear and Present Danger (1989)...

function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a sum of sines and...

The Sum of All Things is the eighth full-length studio album released by the American rock band Tantric. The album was released on July 23, 2021 via Cleopatra...

Minkowski sum depends on the choice of an origin in the Euclidean space. As a change of origin amounts to translate the Minkowski sum, the Minkowski sum is defined...

Šum (Macedonian: Шум, Albanian: Shum) is a village in the municipality of Struga, North Macedonia. The settlement is a newer village in the Struga area...

conjecture, that every even integer greater than 2 can be expressed as the sum of two primes, and the twin prime conjecture, that there are infinitely many...

In mathematics, Chebyshev's sum inequality, named after Pafnuty Chebyshev, states that if a 1 ≥ a 2 ≥ ⋯ ≥ a n {\displaystyle a_{1}\geq a_{2}\geq \cdots...

In topology, the wedge sum is a "one-point union" of a family of topological spaces. Specifically, if X and Y are pointed spaces (i.e. topological spaces...

In mathematics, and specifically in functional analysis, the Lp sum of a family of Banach spaces is a way of turning a subset of the product set of the...

In mathematics, a geometric series is a series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant...

Чойбалсан) is a sum (district) of Dornod Province in eastern Mongolia. Sum center is 55 km North from the Dornod aimag capital Choibalsan city. Sum center has...

In decision theory, the weighted sum model (WSM), also called weighted linear combination (WLC) or simple additive weighting (SAW), is the best known...

statistics, a sum of squares due to lack of fit, or more tersely a lack-of-fit sum of squares, is one of the components of a partition of the sum of squares...

Maa Ka Sum is a 2026 Indian Hindi-language drama television series written by Ravinder Randhawa and Sumrit Shahi, directed by Nicholas Kharkongor. Produced...

A lump-sum tax is a special way of taxation, based on a fixed amount, rather than on the real circumstance of the taxed entity. In this, the entity cannot...

Mei Sum Bakery is an Asian Pacific American-owned Cantonese bakery in Portland, Oregon's Jade District. Operating in southeast Portland's South Tabor...

songwriter, producer, co-founder, and only constant member of the rock band Sum 41. Whibley was born in the Toronto suburb of Scarborough and grew up in...

sum is a legacy utility available on some Unix and Unix-like operating systems. This utility outputs a 16-bit checksum of each argument file, as well...

Sonic Sum was an American hip hop group based in Bronx, New York. It consisted of Rob Sonic, Fred Ones, Eric M.O., and Preservation. The group was described...

"Blick Sum" is a song by American rapper Latto from her third studio album, Sugar Honey Iced Tea (2024). It was produced by EvilNanijae, Kid Hazel, and...

summation assigns values to some infinite sums that are not necessarily convergent in the usual sense. The Cesàro sum, also known as the Cesàro mean or Cesàro...

mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed by Pietro Mengoli in 1650 and solved...

{1}{n}}\sum _{i=1}^{n}\left(Y_{i}-{\hat {Y_{i}}}\right)^{2}} In other words, the MSE is the mean ( 1 n ∑ i = 1 n ) {\textstyle \left({\frac {1}{n}}\sum _{i=1}^{n}\right)}...

Summing (April 16, 1978 – October 10, 2008) was an American thoroughbred racehorse and sire. Summing was a bay horse bred in Kentucky by his owner Charles...

to: Sumer, Bhopal, a village in India Sumer, Bulgaria, a village in Bulgaria Sumer, Sagar, a town in India Sumer, Vidisha, a town in India Sumer Hill...

that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a finite limit. If a series converges, the individual...

{\displaystyle \sum _{k=1}^{n}f(k)=\sum _{k=1}^{n}\sum _{xy=k}^{}g(x)h(y)=\sum _{x=1}^{a}\sum _{y=1}^{n/x}g(x)h(y)+\sum _{y=1}^{b}\sum _{x=1}^{n/y}g(x)h(y)-\sum _{x=1}^{a}\sum...

The Sum of Us is a 1994 Australian LGBTQ-related comedy drama film directed by Kevin Dowling and Geoff Burton. The film is based on the 1990 play of the...

properties of their component parts. The aphorism "The whole is greater than the sum of its parts", is often given as a summary of this proposal. The concept...

maximum sum subarray problem, also known as the maximum segment sum problem, is the task of finding a contiguous subarray with the largest sum, within...

samples increases. Therefore, physical quantities that are expected to be the sum of many independent processes, such as measurement errors, often have distributions...

Ong Sum Ping (Chinese: 黄森屏; pinyin: Huáng Sēnpíng) is a legendary figure. Identified as Pengiran Maharaja Lela of Brunei. The Hokkien name implies that...

Eunice Jepkoech Sum (born 10 April 1988) is a Kenyan middle-distance runner who specializes in the 800 metres. She was the 2013 World champion and won...

Monthly Comic Zero Sum (Japanese: 月刊コミックZERO-SUM, Hepburn: Gekkan Komikku Zero Samu) is a josei manga magazine published by Ichijinsha and launched since...

Jess Sum Cheuk-ying (traditional Chinese: 沈卓盈) (born 5 April 1982) is a Hong Kong actress previously under TVB. Sum became good friends with co-actresses...

and division. The addition of two whole numbers results in the total or sum of those values combined. For example, the adjacent image shows two columns...

multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem from...

Sum Nung or Cen Neng (岑能) was a Peruvian-Chinese martial artist. He is considered the father of Guangzhou Wing Chun and was the only disciple of Grandmaster...

Cheng Tsz Sum (Chinese: 鄭子森; born 20 March 1999) is a Hong Kong professional footballer who plays as a left back or a left midfielder for Hong Kong Premier...

Sum Elai-Mang (Hindko:هندکو) or Sum is a village/state in Sirran Valley, Mansehra District, Khyber-Pakhtunkhwa. It is also a union council (an administrative...

Sum Hun (Chinese: 心恨; Jyutping: sam1 han6, or Chinese: 鐵血芳魂, a.k.a. Xinhin[citation needed] or Heartaches) is a 1936 Cantonese-language drama film produced...

{1}{k!}}\sum _{i=0}^{k}z^{i}s_{k,i}&=\sum _{i=0}^{k}(z-z_{0})^{i}\sum _{j=i}^{k}{\binom {z_{0}}{j-i}}{\frac {s_{k+i-j,i}}{(k+i-j)!}}\\&=\sum _{i=0}^{k}(z-z_{0})^{i}\sum...

Busan BNK Sum (Korean: 부산 BNK 썸) is a South Korean professional basketball club playing in the Women's Korean Basketball League. WKBL Championship Winners...

U} test (also called the Mann–Whitney–Wilcoxon (MWW/MWU), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney test) is a nonparametric statistical test...

{\displaystyle \ln(x)} or log e ⁡ ( x ) {\displaystyle \log _{e}(x)} . The sum of the reciprocals of all prime numbers diverges; that is: ∑ p  prime 1 p...

The Sum of No Evil is the tenth studio album by the progressive rock band The Flower Kings, with the return of the drummer Zoltan Csörsz. The limited...

Gauss sum is an analog of a Gauss sum depending on an elliptic curve with complex multiplication. The quadratic residue symbol in a Gauss sum is replaced...

In mathematics, the sum of two cubes is a cubed number added to another cubed number. Every sum of two cubes may be factored according to the identity...

Peter Lee Jung-sum (23 October 1939 – 3 September 2008), was a former assistant director of Hong Kong Observatory. He was the elder brother of Bruce Lee...

fallacy of labour scarcity, fixed pie fallacy, and the zero-sum fallacy—due to its ties to zero-sum games. The term "fixed pie fallacy" is also used more generally...

The Sum and Product Puzzle, also known as the Impossible Puzzle because it seems to lack sufficient information for a solution, is a logic puzzle. It...

In a Euclidean space, the sum of angles of a triangle equals a straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has...

Tan Sum (Thai: ตาลสุม, pronounced [tāːn sǔm]) is a district (amphoe) in the central part of Ubon Ratchathani province, northeastern Thailand. The minor...

sum _{i=0}^{n}b^{i}\right)+(k-k)b^{n+1}\left(\sum _{i=0}^{n}b^{i}\right)+((k-1)-(2k-1))\left(\sum _{i=0}^{n}b^{i}\right)\\&=kb^{2n+2}\left(\sum...

Kushat-e Sum (Persian: كوشات سوم, also Romanized as Kūshāt-e Sūm) is a village in Holunchekan Rural District in the Central District of Qasr-e Qand County...

Dim Sum Funeral is a 2008 comedy/drama film directed by Anna Chi and starring Kelly Hu, Bai Ling, Russell Wong, Steph Song and Talia Shire. After their...

Sum-frequency generation (SFG) is a second order nonlinear optical process based on the mixing of two input photons at frequencies ω 1 {\displaystyle...

In mathematics, a group G is called the direct sum of two normal subgroups with trivial intersection if it is generated by the subgroups. In abstract...

A lump sum contract in construction is one type of construction contract, sometimes referred to as stipulated-sum, where a single price is quoted for an...

mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers. The conjecture has been shown to hold for all natural...

Buddhism in Cambodia after the Khmers Rouges had eradicated the sangha. Oum Sum was born on February 12, 1918, in Chum Nap village, Chiros commune, Tboung...

Sum Ronghang (1962/1963 – 3 May 2024) was an Indian Congress politician from Assam. He was elected in Assam Legislative Assembly election in 2016 from...

repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing digits, on each iteration...

Sum Jan-chung (born 5 December 1976) is a Singaporean businessman, author, content creator, former illusionist and illusion designer. During his time...

In chaos theory, the correlation sum is the estimator of the correlation integral, which reflects the mean probability that the states at two different...

this branch of number theory. Typical topics include covering system, zero-sum problems, various restricted sumsets, and arithmetic progressions in a set...

rock band Sum 41. The album was released on October 12, 2004. It was the last album to feature guitarist Dave Baksh before his departure from Sum 41 on May...

divergent series. The nth partial sum of the series is the triangular number ∑ k = 1 n k = n ( n + 1 ) 2 , {\displaystyle \sum _{k=1}^{n}k={\frac {n(n+1)}{2}}...

In digital image processing, the sum of absolute differences (SAD) is a measure of the similarity between image blocks. It is calculated by taking the...

Sum-ag is a former town and constituent barangay of Bacolod. Located in the southernmost section of the city, it is considered the southern gateway of...

In Inner Mongolia, China, a sum or sumu is a township-level political/administrative division. The sum division is equivalent to a township but is unique...

In mathematics, Brewer sums are finite character sum introduced by Brewer (1961, 1966) related to Jacobsthal sums. The Brewer sum is given by Λ n ( a )...

"Sum 2 Prove" is a song by American rapper Lil Baby, released on January 9, 2020 as the second single for his second studio album My Turn (2020). A music...

number theory, the sum of two squares theorem relates the prime decomposition of any integer n > 1 to whether it can be written as a sum of two squares,...

length do var y = input[i] + c // sum + c is an approximation to the exact sum. (sum,c) = Fast2Sum(sum,y) next i return sum The algorithm does not mandate...

Zero-Sum: Stories is a collection of short fiction by Joyce Carol Oates published in 2023 by Alfred A. Knopf. The stories originally appeared in magazines...

The log sum inequality is used for proving theorems in information theory. Let a 1 , … , a n {\displaystyle a_{1},\ldots ,a_{n}} and b 1 , … , b n {\displaystyle...

Province in western Mongolia. The sum is named after Khyargas lake, which is 80 km south of the sum center. The sum center was formerly located at another...

A sum-product number in a given number base b {\displaystyle b} is a natural number that is equal to the product of the sum of its digits and the product...

Underground. He released his debut album, Sum of My Music, in March 2018, through his own label, Music of Sound. Sum of My Music is an R&B album that features...

In CPU design, the use of a sum-addressed decoder (SAD) or sum-addressed memory (SAM) decoder is a method of reducing the latency of the CPU cache access...

sum of the labels. The minimum sum that can be achieved is called the chromatic sum of the graph. Chromatic sums and sum coloring were introduced by Supowit...

Abel's theorem for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician Niels Henrik...

integer the sum of four perfect cubes? More unsolved problems in mathematics The sum of four cubes problem asks whether every integer is the sum of four cubes...

In mathematics, a sum-free sequence is an increasing sequence of positive integers, a 1 , a 2 , a 3 , … , {\displaystyle a_{1},a_{2},a_{3},\ldots ,} such...

contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, 0 0 {\displaystyle 0^{0}} is taken...

in the cases of (A) and (B). The question is: Is the function taken the sum of two functions one of which is an ordinary θ-function and the other a (trivial)...

quantity; that is, the total angular momentum of any composite system is the sum of the angular momenta of its constituent parts. For a continuous rigid body...

employee of Dell Magazines, came up with the original English name Cross Sums and other names such as Cross Addition have also been used, but the Japanese...

infinite series formed by summing all positive unit fractions: ∑ i = 1 ∞ 1 i = 1 1 + 1 2 + 1 3 + 1 4 + 1 5 + ⋯ . {\displaystyle \sum _{i=1}^{\infty }{\frac...

, {\displaystyle U_{n}(x)={\begin{cases}2\sum _{{\text{ odd }}j>0}^{n}T_{j}(x)&{\text{ for odd }}n.\\2\sum _{{\text{ even }}j\geq 0}^{n}T_{j}(x)-1&{\text{...

{abc\leq n}{\sum _{a=2}^{\infty }\sum _{c=2}^{\infty }\sum _{b=2}^{\infty }}}x^{abc}+{\binom {m}{4}}{\underset {abcd\leq n}{\sum _{a=2}^{\infty }\sum _{b=2}^{\infty...

log ( x i ) n {\displaystyle \log \!\left({\frac {\sum _{i=1}^{n}x_{i}}{n}}\right)\geq {\frac {\sum _{i=1}^{n}\log \!\left(x_{i}\right)}{n}}} exp ( log...

arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series. According...

Benjamin Sum (Burmese: ဘင်ဂျမင်ဆုမ်း; born 27 November 2000) is a Burmese singer of ethnic Chin descent. He rose to public recognition following his finish...

Sum(me:r) is the ninth extended play by South Korean boy group Pentagon. The album was released on July 17, 2019 by Cube Entertainment under Kakao M distribution...

A sum-check protocol is a cryptographic protocol for the construction of interactive proof systems, used widely in zero-knowledge protocols. The sum-check...

"Said Sum" is a song by American rapper Moneybagg Yo, released on June 30, 2020. It serves as the lead single from Moneybagg Yo’s collaborative mixtape...

a given set of bits, this is the number of bits set to 1, or the digit sum of the binary representation of a given number and the ℓ₁ norm of a bit vector...

partial sums s n = ∑ k = 1 n ( − 1 ) k k 1 / k {\displaystyle s_{n}=\sum _{k=1}^{n}(-1)^{k}k^{1/k}} As n {\displaystyle n} grows to infinity, the sums have...

summation check (sum check) has the following meanings: A checksum based on the formation of the sum of the digits of a numeral. Note: The sum of the individual...

A sum-of-squares optimization program is an optimization problem with a linear cost function and constraints that certain polynomials constructed from...

future cash flow of asset (from the use of the asset to disposition) If the sum of the expected cash flow is less than the carrying amount of the asset,...

"Sumer is icumen in" is the incipit of a medieval English round or rota of the mid-13th century; it is also known variously as the Summer Canon and the...

a sum of at most n n-gonal numbers. That is, every positive integer can be written as the sum of three or fewer triangular numbers, and as the sum of...

Short-term Liabilities {\displaystyle {\text{Working Capital}}=\sum {\text{Current Assets}}-\sum {\text{Short-term Liabilities}}} Current assets and current...

and the sum of these nine products found. The value of the check digit is simply the one number between 0 and 10 which, when added to this sum, means the...

| a i j | 2 ) 1 / 2 {\displaystyle \|A\|_{2,1}=\sum _{j=1}^{n}\|a_{j}\|_{2}=\sum _{j=1}^{n}\left(\sum _{i=1}^{m}|a_{ij}|^{2}\right)^{1/2}} The L 2 , 1...

Mee Sum Pastry (simplified Chinese: 美心饼家; traditional Chinese: 美心餅家) is a Chinese restaurant with two locations in Seattle in the U.S. state of Washington...

SUM is an interbank network in forty-two U.S. states (all except Alaska, Alabama, Delaware, Montana, Nebraska, North Dakota, South Dakota, Wyoming), the...

The Evenk Ethnic Sum (simplified Chinese: 鄂温克民族苏木; traditional Chinese: 鄂溫克民族蘇木; pinyin: Èwēnkè Mínzúsūmù) is an administrative subdivision in the northeastern...

Бүрэн) is a sum of the Töv Province in Mongolia. The Bulangaa settlement (former sum center) is 43 km (27 mi) SE from Büren sum center. The sum has a total...

PZL.46 Sum (sheatfish) was a light bomber developed by Państwowe Zakłady Lotnicze shortly before World War II, which, was directed to serial production...

side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. The theorem can be written...

Toa Sum Jas (Macedonian Cyrillic: Тоа сум Јас) was a reality TV show in North Macedonia. The show was the first original show worldwide. The contestants...

{\displaystyle {\begin{aligned}\sum _{n=-\infty }^{\infty }x[n]\,z^{-n}&=-\sum _{n=-\infty }^{-1}(0.5)^{n}\,z^{-n}\\&=-\sum _{m=1}^{\infty }\left({\frac...

Early Dynastic II bronze sword found at Girsu which read "Lugal-namni[r]-sum (is) king of Kis" and a statue fragment found at Nippur which read "Enna-il...

number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself...

{\displaystyle \sum _{j}w_{ij}V_{j}^{s'}\geq U_{i}} V i s ′ → − 1 {\displaystyle V_{i}^{s'}\rightarrow -1} if ∑ j w i j V j s ′ < U i {\displaystyle \sum...

F(n)=\sum _{k=1}^{n}f(k)=\sum _{k=1}^{n}\sum _{xy=k}^{}g(x)h(y)=\sum _{x=1}^{a}\sum _{y=1}^{n/x}g(x)h(y)+\sum _{y=1}^{b}\sum _{x=1}^{n/y}g(x)h(y)-\sum _{x=1}^{a}\sum...

In mathematics, a Kloosterman sum is a particular kind of exponential sum. They are named for the Dutch mathematician Hendrik Kloosterman, who introduced...

as the sum of a number of independent random variables, each having a uniform distribution. For this reason it is also known as the uniform sum distribution...

recursive relationship as the Fibonacci sequence, where each term is the sum of the two previous terms, but with different starting values. This produces...

all linear systems, the net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually...

Sum Ting Wong, a double entendre for "something wrong", may refer to: A gag name used in the Asiana Airlines Flight 214 KTVU prank Sum Ting Wong (drag...

"Sum Bout U" is a song by American rapper 645AR featuring English singer-songwriter FKA Twigs, released on August 4, 2020, by Columbia Records. The song...

conjecture, states that every nonnegative integer can be represented as a sum of four non-negative integer squares. That is, the squares form an additive...

occurred. This variant, too, detects any single-bit error, but the pro modular sum is used in SAE J1708. The simple checksums described above fail to detect...

run-time complexity of the square-root sum problem? More unsolved problems in computer science The square-root sum problem (SRS) is a computational decision...

quoting lump sum prices. There are different styles of bills of quantities, mainly the elemental bill of quantities and trade bills A contingency sum is an item...

least squares is a method to determine the best-fit model by minimizing the sum of the squared residuals—the differences between observed values and the...

Sum Cheok Leng is Malaysian politician who served as Member of Perak State Legislative Assembly (MLA) for Bercham from 2008 to 2013. In August 2015, he...

0 n ( n k ) x k y n − k . {\displaystyle (x+y)^{n}=\sum _{k=0}^{n}{\binom {n}{k}}x^{n-k}y^{k}=\sum _{k=0}^{n}{\binom {n}{k}}x^{k}y^{n-k}.} The final expression...

[}\Pr(i>j){\bigr ]}}^{w_{ij}}=\sum _{i=1}^{n}\sum _{j=1}^{n}\ln {\biggl [}\left({\frac {p_{i}}{p_{i}+p_{j}}}\right)^{w_{ij}}{\biggr ]}\\[6pt]&=\sum _{ij}w_{ij}\ln {\biggl...

(The Whole is Greater Than) The Sum of Its Parts is the sixth studio album by British electronic music artist Chicane. It was released on 26 January 2015...

w(n,g)=\sum _{k_{1}=0}^{n}\sum _{k_{2}=0}^{n-k_{1}}w(n-k_{1}-k_{2},g-2)=\sum _{k_{1}=0}^{n}\sum _{k_{2}=0}^{n-k_{1}}\cdots \sum _{k_{g}=0}^{n-\sum...

Petersburg. It states that for all integers n and k greater than 1, if the sum of n many kth powers of positive integers is itself a kth power, then n is...

theory of chance is the product of the sum hoped for by the probability of obtaining it; it is the partial sum which ought to result when we do not wish...

SumUp is a British financial technology company headquartered in London. SumUp’s primary product is an EMV card reader and a number of online payment and...

The sum of public power (Spanish: Suma del poder público) is a legal term from Argentina, included in its constitution. It represents the sum of the three...

band Sum 41. It was released on November 26, 2002. The album is more aggressive, darker and heavier and has fewer elements of pop music than Sum 41's...

32 = 2500 − 9 = 2491. A square number is also the sum of two consecutive triangular numbers. The sum of two consecutive square numbers is a centered square...

Wah Sum Estate (Chinese: 華心邨) is a public housing estate in Wo Hop Shek, Fanling, New Territories, Hong Kong, near Flora Plaza and Wo Hing Sports Centre...

In mathematics, a series is the sum of the terms of an infinite sequence of numbers. More precisely, an infinite sequence ( a 1 , a 2 , a 3 , … ) {\displaystyle...

⁠2 ⁠ = ⁠29 sum should add up to 30. The exact sum mentioned in the riddle is computed as: The trick here is to realize that this is not a sum of the money...

there is generally a greater benefit to receiving a sum of money now rather than an identical sum later. It may be seen as an implication of the later...

integral and a closely related sum. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using...

Coyote Ugly (2000). She had supporting roles in Serendipity (2001); The Sum of All Fears (2002); The Recruit (2003); I, Robot (2004); Lord of War (2005);...

\left(\sum \left(X^{2}\right)\right)=n\sigma ^{2}+n\mu ^{2},} E ⁡ ( ( ∑ X ) 2 ) = n σ 2 + n 2 μ 2 . {\displaystyle \operatorname {E} \left(\left(\sum...

{\displaystyle \sum _{n=0}^{\infty }a_{n}x^{n}=a_{0}+a_{1}x+a_{2}x^{2}+\dots .} The partial sums of a power series are polynomials, the partial sums of the Taylor...

Lydia Shum Din-ha or Lydia Sum Tin-ha (Chinese: 沈殿霞; 21 July 1945 – 19 February 2008) was a Hong Kong–Canadian comedian, MC, actress and singer. Known...

A summed-area table is a data structure and algorithm for quickly and efficiently generating the sum of values in a rectangular subset of a grid. In the...

Sum: Forty Tales from the Afterlives, also simply called Sum, is a work of speculative fiction by American neuroscientist David Eagleman. It is in press...

= ∑ n = 1 ∞ 1 n s = 1 1 s + 1 2 s + 1 3 s + ⋯ {\displaystyle \zeta (s)=\sum _{n=1}^{\infty }{\frac {1}{n^{s}}}={\frac {1}{1^{s}}}+{\frac {1}{2^{s}}}+{\frac...

\triangleq \ \sum _{n=0}^{N-1}x_{n}e^{-{\frac {i2\pi }{N}}(k+N)n}=\sum _{n=0}^{N-1}x_{n}e^{-{\frac {i2\pi }{N}}kn}\underbrace {e^{-i2\pi n}} _{1}=\sum...

b i v i  where  a i ≠ b i . {\displaystyle \mathbf {v} =\sum _{i}a_{i}\mathbf {v} _{i}=\sum _{i}b_{i}\mathbf {v} _{i}{\text{ where }}a_{i}\neq b_{i}.}...

In statistical quality control, the CUSUM (or cumulative sum control chart) is a sequential analysis technique developed by E. S. Page of the University...

Henry Sum Agong (born 18 February 1946) is a Malaysian politician who has served as the Member of Parliament (MP) for Lawas since March 2008. He served...

perturbative techniques often fail to apply. The QCD sum rules (or Shifman–Vainshtein–Zakharov sum rules) are a way of dealing with this. The idea is to...

The Sumed Pipeline (also known as the Suez-Mediterranean Pipeline) is an oil pipeline in Egypt, running from the Ain Sokhna terminal in the Gulf of Suez...

is a logic element that computes the ( n + 1 ) {\displaystyle (n+1)} -bit sum of two n {\displaystyle n} -bit numbers. The carry-select adder is simple...

The Sum of All Thrills was an attraction at Walt Disney World Resort's Epcot theme park. Sponsored by Raytheon, the ride let park guests custom-design...

{L}}=\left(-k_{\text{B}}\sum _{i}\rho _{i}\ln \rho _{i}\right)+\lambda _{1}\left(1-\sum _{i}\rho _{i}\right)+\lambda _{2}\left(U-\sum _{i}\rho _{i}E_{i}\right)...

Rocked: Sum 41 in Congo is a 2005 film documentary directed by Adrian Callender describing the experiences of Sum 41 joining War Child Canada in traveling...

the parallel lines notation from geometry; also known as reduced sum, parallel sum or parallel addition) is a binary operation which is used as a shorthand...

The direct sum of two matrices is the diagonal matrix where the top-left and bottom-right corners of the matrix fill the two given matrices, and where...

the sum of the absolute values of the summands is finite. More precisely, a real or complex series ∑ n = 0 ∞ a n {\displaystyle \textstyle \sum _{n=0}^{\infty...

the expected value of the sum of a random number of random quantities. In its simplest form, it relates the expectation of a sum of randomly many finite-mean...

Borel (1899). It is particularly useful for summing divergent asymptotic series, and in some sense gives the best possible sum for such series. There are several...

(1949) Sumer, Vol. 6 (1950) Sumer, Vol. 7 (1951) Sumer, Vol. 8 (1952) Sumer, Vol. 9 (1953) Sumer, Vol. 10 (1954) Sumer, Vol. 11 (1955) Sumer, Vol. 12...

mean squared error 1 n ∑ i ( y ^ i − y i ) 2 {\displaystyle {\tfrac {1}{n}}\sum _{i}({\hat {y}}_{i}-y_{i})^{2}} , where i {\displaystyle i} indexes over...

0 ∞ m n 2 m . {\displaystyle a(n)=\sum _{k=0}^{n}\sum _{j=0}^{k}(-1)^{k-j}{\binom {k}{j}}j^{n}={\frac {1}{2}}\sum _{m=0}^{\infty }{\frac {m^{n}}{2^{m}}}...

simpler addition. This is possible because the logarithm of a product is the sum of the logarithms of the factors: log b ⁡ ( x y ) = log b ⁡ x + log b ⁡ y...

Suming Rupi (born 17 July 1978) is a Taiwanese musician, singer, songwriter and actor. He is a member of the "Lacienci" (拉千禧) age set (a form of social...

Lau Wah-sum, OBE, GBS JP (born 30 January 1928) is a member of the Liberal Party and was the unofficial member of the Legislative Council of Hong Kong...

Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base n are also...

arithmetic operations on the infinite ordinals are more complicated. The sum of two well-ordered sets S and T is the ordinal representing the variant...

Abel's sum formula may refer to: Abel's summation formula, a formula used in number theory to compute series Summation by parts, a transformation of the...

"Eris Quod Sum" is the seventh episode of the third season of the NBC superhero drama series Heroes and forty-first episode overall. The episode aired...

is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance, 13 is a happy number because 1...

The Dim Sum Dollies is a musical cabaret trio group in Singapore, founded in 2002 by Selena Tan, Emma Yong and Pamela Oei. The Dollies are known for their...

axis of rotation. The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems (all taken about the...

for which the sum of divisors of n is less than 2n. Equivalently, it is a number for which the sum of proper divisors (or aliquot sum) is less than n...

Sum frequency generation spectroscopy (SFG) is a nonlinear laser spectroscopy technique based on sum-frequency generation and used to analyze surfaces...

following 49 and preceding 51. Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways. 50 is an unsigned Stirling...

consists of an agreement to lend a fixed amount of money, called the principal sum or principal, for a fixed period of time, with this amount to be repaid by...

Sum and Substance is a compilation album released by the British rock band The Mission on 7 February 1994 through Vertigo/Phonogram Records. It contains...

tangent and hyperbolic tangent functions, in Faulhaber's formula for the sum of m-th powers of the first n positive integers, in the Euler–Maclaurin formula...

1978) is an American drummer, best known as a member of the rock bands Sum 41, Street Drum Corps, Gravas, and Electric Callboy. Zummo is one of the...

band Treble Charger. In the late 1990s, he began working as a producer with Sum 41 and was their in-house producer and manager until 2004. In 2007, Nori...

expanse) is a sum (district) of Sükhbaatar Province in eastern Mongolia. The population (as of 2009) of the sum is 4,569, including 1,169 in the sum center....

finite sums of areas of vertical rectangles. For suitable functions, including every continuous function on a closed bounded interval, these Riemann sums approach...

algebra, the trace of a square matrix A, denoted tr(A), is defined as a sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle...

In number theory, the sum of squares function is an arithmetic function that gives the number of representations for a given positive integer n {\displaystyle...

Sum and difference of frequencies (left) and sum and difference of two pairs of sine waves (right) with frequencies of 1 and 2 (top) and 1 and 3 (bottom)...

Li Dak-sum, GBM, JP (Chinese: 李達三, born 9 October 1920) is a Hong Kong–based entrepreneur and philanthropist. Li received his Bachelor of Accounting degree...

-distribution with k {\displaystyle k} degrees of freedom is the distribution of a sum of the squares of k {\displaystyle k} independent standard normal random...

 or  C n . {\displaystyle \sum _{k=1}^{n}|x_{k}\,y_{k}|\leq \left(\sum _{k=1}^{n}|x_{k}|^{p}\right)^{\frac {1}{p}}\left(\sum _{k=1}^{n}|y_{k}|^{q}\right)^{\frac...

preceding 1730. It is the first nontrivial taxicab number, expressed as the sum of two cubic positive integers in two different ways. It is known as the...

Ngai-Ling Sum (born 1952) is a British sociologist and political economist and co-director of the Cultural Political Economy Research Centre at Lancaster...

The Tour of the Setting Sum was the final concert tour by the Canadian rock band Sum 41, in support of their eighth and final studio album, Heaven :x:...

(Mongolian: Өндөрхангай, [ˌɵntɵrχaɴˈɢæ]) is a sum (district)[citation needed] of Uvs Province in western Mongolia. The sum is in the Khan Khökhii mountains. The...

. {\displaystyle L(x)=\sum _{j=0}^{k}y_{j}\ell _{j}(x).} Each basis polynomial has degree ⁠ k {\displaystyle k} ⁠, so the sum ⁠ L ( x ) {\displaystyle...

is a sum (district) of Dornod Province in eastern Mongolia. The population of the sum in 2009 was 3,246, including 1,461 in the sum center. The sum covers...

hyperbola method is a technique to evaluate the sum F ( n ) = ∑ k = 1 n f ( k ) {\displaystyle F(n)=\sum _{k=1}^{n}f(k)} . The first step is to find a pair...

{\displaystyle \mathrm {H} (X):=-\sum _{x\in {\mathcal {X}}}p(x)\log p(x),} where Σ {\displaystyle \Sigma } denotes the sum over the variable's possible values...

( k i ) i n , {\displaystyle B_{n}=\sum _{k=0}^{n}\left\{{n \atop k}\right\}=\sum _{k=0}^{n}{\frac {1}{k!}}\sum _{i=0}^{k}(-1)^{k-i}{\binom {k}{i}}i^{n}...

Airport (IATA: KHR, ICAO: ZMHH) is a public airport located in Kharkhorin, a sum (district) center in the Övörkhangai Province of Mongolia. The airport is...

Hospitals Wong See Sum Primary School and Tung Wah Group of Hospitals Chow Yin Sum Primary School. Tung Wah Group of Hospitals Wong See Sum Primary School...

or sum (/sʊm/; Mongolian: сум ᠰᠤᠮᠤ) is a second-level administrative subdivision of Mongolia. The 21 provinces of Mongolia are divided into 330 sums. On...

The cuneiform sign šum is a common-use sign of the Amarna letters, the Epic of Gilgamesh, and other cuneiform texts (for example Hittite texts). Linguistically...

Sumer Passage (Bulgarian: проток Сумер, ‘Protok Sumer’ \'pro-tok su-'mer\) is the 970 m wide passage in the Palmer Archipelago between Davis Island on...

Dim Sum King (traditional Chinese: 點心皇; simplified Chinese: 点心皇) is a Chinese restaurant in Seattle, in the U.S. state of Washington. The restaurant offers...

Blake canonical form (BCF), also called the complete sum of prime implicants, the complete sum, or the disjunctive prime form, when it is a disjunction...

mathematics, in the area of number theory, a Gaussian period is a certain kind of sum of roots of unity. The periods permit explicit calculations in cyclotomic...

i = 1 k i ) {\displaystyle Te_{n}=\sum _{k=1}^{n}T_{k}=\sum _{k=1}^{n}{\frac {k(k+1)}{2}}=\sum _{k=1}^{n}\left(\sum _{i=1}^{k}i\right)} The tetrahedral...

and the second of the form (7.q), where q is a higher prime. the aliquot sum of 91 is 21; itself a semiprime, within an aliquot sequence of two composite...

)}&=\log {\frac {\Gamma \left(\sum _{i=1}^{K}\alpha _{i}\right)}{\Gamma \left(\sum _{i=1}^{K}\beta _{i}\right)}}+\sum _{i=1}^{K}\left[\log {\frac {\Gamma...

Asian-American culture and domestic life. His best known works include Dim Sum: A Little Bit of Heart (1985), Eat a Bowl of Tea (1989), the Amy Tan literary...

Ichijinsha's Comic Zero Sum WARD, it began serialization in Comic Zero Sum WARD in September 2008. In May 2015, Comic Zero Sum WARD ceased publication...

− 1 ( 4 k + 1 ) {\displaystyle h_{n}=\sum _{k=0}^{n-1}{(4k+1)}} where the empty sum is taken to be 0. The sum of the reciprocal hexagonal numbers is...

river in the Khövsgöl aimag of Mongolia. It starts in the Renchinlkhümbe sum in the south-western range of the Khoridol Saridag mountains, about 40 km...

Sümer Koçak (21 September 1961 – 5 August 2020) was a Turkish wrestler who competed in the 1984 Summer Olympics and in the 1988 Summer Olympics. Koçak...

constant factor rule: ( a f ) ′ = a f ′ , {\displaystyle (af)'=af',} The sum rule: ( f + g ) ′ = f ′ + g ′ , {\displaystyle (f+g)'=f'+g',} The difference...

Zavkhanmandal (Mongolian: Завханмандал) is a sum of Zavkhan Province in western Mongolia. The sum centre is 12 km south of Khar Lake. In 2005, its population...

Nariinteel (Mongolian: Нарийнтээл) is a sum (district) of Övörkhangai Province in southern Mongolia. The sum centre is 135 km to the West from Övörkhangai...

Compound interest is interest accumulated from a principal sum and previously accumulated interest. It is the result of reinvesting or retaining interest...

Erdene (/ˈɜːrdɛn/; Mongolian: Эрдэнэ [írtɪn]) is a sum of Töv Province in Mongolia. Sum center former location was 47 47 35 N 107 53 00 E. The Janchivlin...

Erdenebulgan sum rural territories population was 18,519), 16,618 (2003 est.), 16,300 (2006 est.). Tsetserleg is geographically located in the Bulgan sum in the...

⋅ t n , {\displaystyle {\frac {1}{\cosh t}}={\frac {2}{e^{t}+e^{-t}}}=\sum _{n=0}^{\infty }{\frac {E_{n}}{n!}}\cdot t^{n},} where cosh ⁡ ( t ) {\displaystyle...

Yeung Sum (Chinese: 楊森; born 22 November 1947 in Guangzhou) is a Hong Kong politician and academic. He served several terms as a Legislative Councillor...

Öndörshireet (Mongolian: Өндөрширээт) is a sum of Töv Province in Mongolia. Sum center former location was 47 28 N 104 52 E. Öndörshireet has a total area...

x_{n})\mapsto \left(\sum _{j=1}^{n}a_{1j}x_{j},\sum _{j=1}^{n}a_{2j}x_{j},\ldots ,\sum _{j=1}^{n}a_{mj}x_{j}\right),} where ∑ {\textstyle \sum } denotes summation...

properly normalized sum tends toward a normal distribution. This article gives two illustrations of this theorem. Both involve the sum of independent and...

a scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar...

disjunction of conjunctions; it can also be described as an OR of ANDs, a sum of products, or — in philosophical logic — a cluster concept. The disjunctive...

i}}\int _{\partial D}{\frac {\sum _{n=0}^{\infty }(-1)^{n}(\zeta -1)^{n}d\zeta }{(\zeta -a)^{k+1}}}\\&={\frac {1}{2\pi i}}\sum _{n=0}^{\infty }(-1)^{n}\int...

theorem states that every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime (the product of two primes)...

is necessarily disconnected. The disjoint union is also called the graph sum and may be represented either by a plus sign or a circled plus sign: If G...

abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the...

{\displaystyle 2A=\sum _{i=1}^{n}(x_{i}y_{i+1}-x_{i+1}y_{i})=\sum _{i=1}^{n}x_{i}y_{i+1}-\sum _{i=1}^{n}x_{i+1}y_{i}=\sum _{i=1}^{n}x_{i-1}y_{i}-\sum _{i=1}^{n}x_{i+1}y_{i}}...

{\begin{aligned}\left(\sum _{n}E_{n}\right)^{2}&=\left(\sum _{n}E_{n}\right)\left(\sum _{k}E_{k}\right)\\[1ex]&=\sum _{n,k}E_{n}E_{k}=2\sum _{n<k}E_{n}E_{k}+\sum _{n}E_{n}^{2}\...

"Zero Sum" is the twenty-first episode of the fourth season of the American science fiction television series The X-Files. It premiered on the Fox network...

minimizing a sum of squared function values. It is an extension of Newton's method for finding a minimum of a non-linear function. Since a sum of squares...

Ian Joseph Somerhalder (/ˈsʌmərhɔːldər/ SUM-ər-hawl-dər; born December 8, 1978) is an American retired actor. He is known for playing Boone Carlyle in...

aggregations or summaries of the groups of the individual terms might include sums, averages, counts, or other statistics. A pivot table is the outcome of the...

sexy prime and 101 is also the smallest number that can be expressed as the sum of three distinct nonzero squares in more than two ways: 9 2 + 4 2 + 2 2...

Kim Sum (born Kim Sujin, 23 July 1974) is a South Korean writer, best known as the author of One Left (한명, 2016), a novel dealing with the issue of Korean...

introduced by William Rowan Hamilton as part of a quaternion, which is a sum q = s + v of a real number s (also called scalar) and a 3-dimensional vector...

{\rho (\mathbf {r'} )}{|\mathbf {r} -\mathbf {r'} |}}\,d^{3}r'=\sum _{\ell =0}^{\infty }\sum _{m=-\ell }^{\ell }\left({\frac {4\pi }{2\ell +1}}\right)q_{\ell...

Belief propagation, also known as sum–product message passing, is a message-passing algorithm for performing inference on graphical models, such as Bayesian...

The Division Bell on "Keep Talking". Mason received writing credits for "Sum", and "Skins", a two-and-a-half-minute drum solo. Gilmour said The Endless...

Calculate the "within-group" sum of squares. Begin by centering the data in each group The within-group sum of squares is the sum of squares of all 18 values...

(Mongolian: Яруу) is a sum of Zavkhan Province in western Mongolia. An unpaved road connects Yaruu sum centre to Zavkhanmandal sum. In 2005, its population...

is given by f ( z ) = ∑ n = − ∞ ∞ a n ( z − c ) n , {\displaystyle f(z)=\sum _{n=-\infty }^{\infty }a_{n}(z-c)^{n},} where the coefficients a n {\displaystyle...

Sum of the Parts is an album by tenor saxophonist/composer-arranger Ed Summerlin, released in 1998 on the Ictus label. Los Angeles Times reviewer, and...

{1-4x}}&=-\sum _{n=1}^{\infty }{\binom {\frac {1}{2}}{n}}(-4x)^{n}=-\sum _{n=1}^{\infty }{\frac {(-1)^{n-1}(2n-3)!!}{2^{n}n!}}(-4x)^{n}\\[6px]&=-\sum _{n=0}^{\infty...

that it cannot be a solution of an algebraic equation involving only finite sums, products, powers, and integers. The transcendence of π implies that it is...

cardNumber[i] > 4 then sum := sum + 2 * cardNumber[i] - 9 else sum := sum + 2 * cardNumber[i] end if end for return cardNumber[length] == ((10 - (sum mod 10)) mod...

the sum or partial sums of a telescoping series can be found in a 1644 work by Evangelista Torricelli, De dimensione parabolae. Telescoping sums are finite...

An Egyptian fraction is a finite sum of distinct unit fractions, such as 1 2 + 1 3 + 1 16 . {\displaystyle {\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{16}}...

Sumly Chan Yuen-sum (born 23 March 1958 in Hong Kong) is a social worker and politician in Hong Kong, a member of the Civic Party, the chairman and the...

classical notion of a single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible...

problem SUBSET-SUM. Given a set of integers, SUBSET-SUM is the problem of finding whether there exists a subset summing to zero. SUBSET-SUM is NP-complete...

subtracting the angles of consecutive folds around the vertex gives an alternating sum of zero. Crease patterns with more than one vertex do not obey such a simple...

Square-summable may refer to: Square-integrable functions Square-summable sequences; see Hilbert space § Sequence spaces This disambiguation page lists...

that in a steady fluid flow the sum of all forms of energy is the same throughout the flow. This requires that the sum of kinetic energy, potential energy...

most common being the Leibniz formula, which expresses the determinant as a sum of n ! {\displaystyle n!} (the factorial of n) signed products of matrix...

for two or more parties. It is also called a positive-sum game as it is the opposite of a zero-sum game. If a win–win scenario is not achieved, the scenario...

r_{xy}={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-\left(\sum x_{i}\right)^{2}}}~{\sqrt {n\sum y_{i}^{2}-\left(\sum y_{i}\right)^{2}}}}}...

"With Me" is the third single from Sum 41's 2007 studio album Underclass Hero. A ballad, the first live performance of "With Me" was on January 26, 2008...

{\displaystyle \zeta (s_{1},\ldots ,s_{k})=\sum _{n_{1}>n_{2}>\cdots >n_{k}>0}\ {\frac {1}{n_{1}^{s_{1}}\cdots n_{k}^{s_{k}}}}=\sum _{n_{1}>n_{2}>\cdots >n_{k}>0}\...

excluded because they cannot be written as the sum of three cubes. The smallest such integer for which such a sum is not known is 114. In September 2019, the...

negatives gives the sum ln(p/q). Other rearrangements give other finite sums or do not converge to any sum. It is a basic result that the sum of finitely many...

that if the sum of the first n terms of this progression is a prime number (and thus is a Mersenne prime as mentioned above), then this sum times the nth...

integer can be expressed as the sum of at most 19 fourth powers; every integer larger than 13792 can be expressed as the sum of at most 16 fourth powers (see...

{\displaystyle \rho =\sum _{i}w_{i}\left[\sum _{j}{\bar {c}}_{ij}(|\alpha _{ij}\rangle \otimes |\beta _{ij}\rangle )\right]\left[\sum _{k}c_{ik}(\langle...

Also known as the "Sum of the Digits" method, the Rule of 78s is a term used in lending that refers to a method of yearly interest calculation. The name...

ar^{4},\ \ldots } where r is the common ratio and a is the initial value. The sum of a geometric progression's terms is called a geometric series. Because...

only digits 0 and 1, or equivalently, it's a sum of distinct powers of 4 (45 + 40). 1028 = 22 × 257. It is sum of totient function for first 58 integers...

Ramanujan's sum. A related function is the divisor summatory function, which, as the name implies, is a sum over the divisor function. The sum of positive...

Fuzzy Ergo Sum is a 2011 science fiction novel by Wolfgang Diehr as a sequel to H. Beam Piper's Fuzzy trilogy: Little Fuzzy, Fuzzy Sapiens, and Fuzzies...

director, best known as the founding drummer for the rock band Sum 41. Jocz joined Sum 41 in 1996. He graduated from Exeter High School in 1999. In 1999...

"Pieces" is a song written and recorded by Canadian rock band Sum 41. "Pieces" was released to radio on November 15, 2004, as the second single from the...

Hoeffding's inequality provides an upper bound on the probability that the sum of bounded independent random variables deviates from its expected value...

Choi Chi-sum (Chinese: 蔡志森; born April 14, 1960) is an outspoken far right evangelical in Hong Kong. Choi was baptized in 1978 and graduated from Hong...

general locally compact Abelian group may be represented or approximated by sums of trigonometric functions or more conveniently, complex exponentials. Fourier...

the canonical disjunctive normal form (CDNF), minterm canonical form, or Sum of Products (SoP or SOP) as a disjunction (OR) of minterms. The De Morgan...

Roman numerals (MM) an Achilles number smallest four digit eban number the sum of all the nban numbers (sequence A008537 in the OEIS) 2002 = Palindromic...

Saqib Sumeer is a Pakistani actor, director and writer who performs mostly in theatre and also works in television and films. Originally from Bahawalpur...

chessboard, if the number of grains doubles on successive squares, then the sum of grains on all 64 squares is: 1 + 2 + 4 + 8 + ... and so forth for the...

Kong singer and actress Sylvia Lai, who performed under the stage name of Sum Sum (森森). They have a son named Clarence Ka Ho Lee born in 1980, and the couple...

four children: sons Yip Chun (葉準) and Yip Ching (葉正) and daughters Yip Nga-sum (葉雅心) and Yip Nga-wun (葉雅媛). According to her son Yip Chun, she and Yip had...

circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node; or equivalently: The algebraic sum of currents...

written as a sum of these spherical harmonics. This is similar to periodic functions defined on a circle that can be expressed as a sum of circular functions...

d x . {\displaystyle {\begin{aligned}\gamma &=\lim _{n\to \infty }\left(\sum _{k=1}^{n}{\frac {1}{k}}-\log n\right)\\&=\int _{1}^{\infty }\left({\frac...

is a natural number n equal to the sum of all or some of its proper divisors. A semiperfect number equal to the sum of all its proper divisors is a perfect...

of the sum of normally distributed random variables is an instance of the arithmetic of random variables. This is not to be confused with the sum of normal...

for exponential sums. The method applies two processes, the van der Corput processes A and B which relate the sums into simpler sums which are easier...

Vector sum excited linear prediction (VSELP) is a speech coding method used in several cellular standards. The VSELP algorithm is an analysis-by-synthesis...

a hash sum[clarification needed] from data[clarification needed], typically e-mail, and compares the sum against other previously defined sums. Depending...

if we normalize each term by summing over all the topics, we get: A = ∑ k = 1 K α β C k ¬ n + V β {\displaystyle A=\sum _{k=1}^{K}{\frac {\alpha \beta...

In real analysis, the Darboux integral is constructed using Darboux sums and is one possible definition of the integral of a function. Darboux integrals...

+it)|=\exp \Re \sum _{p^{n}}{\frac {p^{-n(\sigma +it)}}{n}}=\exp \sum _{p^{n}}{\frac {p^{-n\sigma }\cos(t\log p^{n})}{n}},} where the sum is over all prime...

Cantonese tradition of breakfast or brunch involving Chinese tea and dim sum. The practice is popular in Cantonese-speaking regions, including Guangdong...

mechanics, a sum rule is a formula for transitions between energy levels, in which the sum of the transition strengths is expressed in a simple form. Sum rules...

The digital sum in base b of a set of natural numbers is calculated as follows: express each of the numbers in base b, then take the sum of corresponding...

{\begin{aligned}\left(\sum _{k=1}^{n}a_{k}^{2}\right)\left(\sum _{k=1}^{n}b_{k}^{2}\right)-\left(\sum _{k=1}^{n}a_{k}b_{k}\right)^{2}&=\sum _{i=1}^{n-1}\sum...

"Throw Sum Mo" is a song by American hip hop duo Rae Sremmurd featuring rappers Nicki Minaj and Young Thug. It was released on December 9, 2014, by EarDrummers...

Records/Avantgarde Music, 1995) Shadow's Blood (Candlelight Records, 1998) The Sum of All Fears (Season of Mist, 1999) WAR Vol III (Season of Mist, 2000) Cultus...

says that the product of two numbers, each of which is a sum of four squares, is itself a sum of four squares. For any pair of quadruples from a commutative...

Өмнөдэлгэр, Front wide) is a sum (district) of Khentii Province in north-eastern Mongolia. The former location of the sum's center is at 47 53 N 109 55...

a sum of positive integers. Two sums that differ only in the order of their summands are considered the same partition. (If order matters, the sum becomes...

It is sometimes called formula percentage, a phrase that refers to the sum of a set of baker's percentages. Baker's percentage expresses a ratio in...

{\sum x(x-1)}{nm(m-1)}}} An alternative formulation is I m = n ∑ x 2 − ∑ x ( ∑ x ) 2 − ∑ x {\displaystyle I_{m}=n{\frac {\sum x^{2}-\sum x}{(\sum x)^{2}-\sum...

152 and preceding 154. It is the sum of the first 17 integers (making it the 17th triangular number), and also the sum of the first five positive factorials...

The Sum of Us is a 1990 play by David Stevens. It is the third play in his now completed A Currency Trilogy of which the first play is The Inn at the...

Batsümber (Mongolian: Батсүмбэр) is a sum of Töv Province in Mongolia. The district has a total area of 2,227 km2. The district is divided into four bags...

average is the arithmetic mean, also known as "arithmetic average" i.e. the sum divided by the count, so the "average" of the list of numbers [2, 3, 4, 7...

Moonlight in Tokyo (Chinese: 情義我心知; pinyin: Ching yi ngor sum gi) is a 2005 Hong Kong comedy-drama film written and directed by Alan Mak and Felix Chong...

… , p k ) = 1 {\displaystyle \sum _{\sum _{j=1}^{k}x_{j}=n}f(x_{1},\dots ,x_{k};n,p_{1},\dots ,p_{k})=1} where the sum is over all permutations of x j...

integer is a sum of at most n+2 centered n-gonal numbers. In 1850, Sir Frederick Pollock conjectured that every positive integer is the sum of at most 11...

The SUM-N-2 Grebe, also known as Kingfisher E and SUM-2, was a rocket- and pulsejet-powered anti-ship and anti-submarine missile developed by the United...

\left({\frac {1}{N}}\sum _{i=1}^{N}X_{i}\right)={\frac {1}{N^{2}}}\operatorname {var} \left(\sum _{i=1}^{N}X_{i}\right)\\&={\frac {1}{N^{2}}}\sum _{i=1}^{N}\operatorname...

fixed-point formula that relates a sum over the fixed points of a holomorphic vector field of a compact complex manifold to a sum over its Dolbeault cohomology...

array's elements. In a linear array, the output of each sub-array is summed to form the "sum" channel, and the same outputs are subtracted to form the "del"...

Цахир) is a sum (district) of Arkhangai Province in central Mongolia. In 2009, its population was 2,143. Tsakhir sum is the westernmost sum in the aimag...

languages of the USSR. The word som (alternatively transliterated "soum" or "sum") means "pure" in Kazakh, Kyrgyz, Uyghur and Uzbek, as well as in many other...

Strum Sum Up is the fourth solo studio album by King's X vocalist and bassist Doug Pinnick. The album contains many guest appearances, including Steve...

usually called the nim-sum, as it will be called here. The nim-sum of x and y is written x ⊕ y to distinguish it from the ordinary sum, x + y. An example...

:x: Hell is the eighth and final studio album by the Canadian rock band Sum 41, released on March 29, 2024, through Rise Records. A double album, Heaven...

{\displaystyle \left\{{n \atop k}\right\}={\frac {1}{k!}}\sum _{i=0}^{k}(-1)^{k-i}{\binom {k}{i}}i^{n}=\sum _{i=0}^{k}{\frac {(-1)^{k-i}i^{n}}{(k-i)!i!}}.} The...

sum _{i=1}^{n}(2k+1)b^{2i}+(2k+1)b^{2i-1}\\&=2k+1+\sum _{i=1}^{2n}(2k+1)b^{i}\\&=\sum _{i=0}^{2n}(2k+1)b^{i}\\&=(2k+1)\sum...

\eta _{2}}}\sum _{j=1}^{p}\log \Gamma {\left(\eta _{2}+{\frac {p+1}{2}}+{\frac {1-j}{2}}\right)}\\[1ex]&=p\log 2+\log |\mathbf {V} |+\sum _{j=1}^{p}\psi...

from an adjacent side. The sum of the internal angle and the external angle on the same vertex is π radians (180°). The sum of all the internal angles...

two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles. This may be also formulated as: If a straight...

whose sum quickly converges in real space and φ ℓ r ( r ) {\displaystyle \varphi _{\ell r}(\mathbf {r} )} represents the long-range term whose sum quickly...

composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the same base...

topics such as number theory: "in how many ways can a number be written as a sum of squares?" physics: "how does heat flow on a toroidal ring?", "how do quantum...

Dr. Kung Yan-sum (Chinese: 龔仁心; born in 1943 in Shanghai) is the younger brother of the late Nina Wang, who used to be Asia's richest woman and the chairman...

representing n as a sum of positive integers. For the purposes of this definition, the order of the terms in the sum is irrelevant: two sums with the same terms...

Laetatus sum (I am glad), Op. 45, is a musical setting of Psalm 122 (Psalm 121 in the Vulgate) in Latin by Jules Van Nuffel, composed in 1935 for mixed...

sum of four consecutive primes (167 + 173 + 179 + 181). 701 is a prime number, a Chen prime, an Eisenstein prime with no imaginary part, and the sum of...

2 + sin ⁡ 4 φ 4 2 + ⋯ {\displaystyle \operatorname {Cl} _{2}(\varphi )=\sum _{k=1}^{\infty }{\frac {\sin k\varphi }{k^{2}}}=\sin \varphi +{\frac {\sin...

(Mongolian: Бүрд) is a sum (district) of Övörkhangai Province in southern Mongolia. In 2008, its population was 3,135. Bürd sum was where what would become...

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length...

In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces...

over the region enclosed by the surface. Intuitively, it states that "the sum of all sources of the field in a region (with sinks regarded as negative...

module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodules. Indecomposable is a weaker notion than simple...

A stipend is a regular fixed sum of money paid for services or to defray expenses, such as for scholarship, internship, or apprenticeship. It is often...

Then take that sum (15) and determine if it is divisible by 3. The original number is divisible by 3 (or 9) if and only if the sum of its digits is...

or homopolar) is one-third the sum of the original three phasors. Sequence 1 (positive sequence) is one-third the sum of the original three phasors rotated...

The Sum of All Fears (known as Tom Clancy's The Sum of All Fears) is a 2002 tactical shooter video game which is developed by Red Storm Entertainment...

{1}{n}}\sum _{S\subseteq N\setminus \{i\}}{n-1 \choose |S|}^{-1}(v(S\cup \{i\})-v(S))} where n {\displaystyle n} is the total number of players and the sum extends...

Canadian musician best known as the lead guitarist of rock band Sum 41. Baksh quit Sum 41 in 2006 (not counting a guest appearance on stage in 2008) to...

expressed as a sum of some of its divisors, making it a semiperfect number. The geometric mean of its nine divisors is 10. 100 is the sum of the cubes of...

variant, variant record, choice type, discriminated union, disjoint union, sum type, or coproduct, is a data structure used to hold a value that could take...

{\begin{aligned}\sum _{i=0}^{n}a_{i}x^{i+1}+\sum _{k=0}^{n}a_{k}x^{k}&=\sum _{k=1}^{n+1}a_{k-1}x^{k}+\sum _{k=0}^{n}a_{k}x^{k}\\[4pt]&=\sum...

Province. The town with its vicinities creates a sum (district) of Sükhbaatar Province. The Baruun-Urt sum area is 59 km², population 15,549, population...

forms. The Jantzen sum formula holds: ∑ i > 0 Ch ( M ( λ ) i ) = ∑ α > 0 , s α ( λ ) < λ Ch ( M ( s α ⋅ λ ) ) {\displaystyle \sum _{i>0}{\text{Ch}}(M(\lambda...

The binomial sum variance inequality states that the variance of the sum of binomially distributed random variables will always be less than or equal...

l}}\end{array}}\right)=\sum v_{t}\times \Delta t.} As Δ t {\displaystyle \Delta t} becomes infinitesimally small, the summing up corresponds to integration...

гол) is a river in the Teshig sum of Bulgan aimag in Mongolia. It starts about 30 km north of the sum center of Selenge sum in the Angarkhai mountain range...

{\displaystyle {\sum _{i=1}^{n}\sum _{j=1}^{n}\left|x_{i}-x_{j}\right|}}{\displaystyle {2n^{2}{\bar {x}}}}}={\frac {\displaystyle {\sum _{i=1}^{n}\sum...

identified according to the mechanism for calculating the sum due to be paid by the employer: lump sum contracts, re-measurement contracts and cost-reimbursable...

"Me or Sum" is a song by American rapper Nardo Wick featuring fellow American rappers Future and Lil Baby. It was released on November 29, 2021 as the...

a sum (district) of Dornod Province in eastern Mongolia. There are 3,203 people in the sum, including 1,756 in the sum center. The area of the sum is...

\triangleq \sum _{m=-\infty }^{\infty }u(x-mP)} and v P ( x )   ≜ ∑ m = − ∞ ∞ v ( x − m P ) . {\displaystyle v_{_{P}}(x)\ \triangleq \sum _{m=-\infty...

{1}{s_{n}^{2+\delta }}}\,\sum _{i=1}^{n}\operatorname {E} \left[\left|X_{i}-\mu _{i}\right|^{2+\delta }\right]=0} is satisfied, then a sum of X i − μ i s n {\textstyle...

"The Conversion of Sum Loo" is a short story by Willa Cather. It was first published in Library in August 1900. After his first wife dies without giving...

are called solutes. When, as is often but not necessarily the case, the sum of the mole fractions of solutes is small compared with unity, the solution...

Sum of All Your Parts is the third album by Scottish alternative rock band Fatherson, released on 14 September 2018 through Easy Life Records. The album...

how one triangulates a cyclic polygon, the sum of inradii of triangles is constant. Conversely, if the sum of inradii is independent of the triangulation...

share have the highest weighting in the index. The value of the index is the sum of the stock prices of the companies included in the index, divided by a...

sum (district) of Övörkhangai Province in southern Mongolia. In 2008, its population was 3,313. Peljidiin Genden was born in present-day Taragt sum....

Honggor Sum (Traditional Mongolian: ᠬᠣᠩᠭ᠋ᠤᠷ ᠰᠤᠮᠤ; Mongolian Cyrillic: Хонгор сум, Khongor sum; simplified Chinese: 洪格尔苏木; traditional Chinese: 洪格爾蘇木;...

Hamiltonian of a system represents the total energy of the system; that is, the sum of the kinetic and potential energies of all particles associated with the...

literary fiction, Sum: Forty Tales from the Afterlives, is an international bestseller published in 32 languages. The Observer wrote that "Sum has the unaccountable...

The Sum of All Fears is a novel by Tom Clancy. The Sum of All Fears may also refer to: The Sum of All Fears (film), a 2002 film by Phil Alden Robinson...

addition, the symbol + represents the operation of addition, which results in a sum, while the symbol − represents subtraction, resulting in a difference. Their...

Soccer United Marketing (SUM) is the for-profit marketing arm of Major League Soccer (MLS) which primarily deals with the commercialization, marketing...

396 4 k {\displaystyle {\frac {1}{\pi }}={\frac {2{\sqrt {2}}}{99^{2}}}\sum _{k=0}^{\infty }{\frac {(4k)!}{k!^{4}}}{\frac {26390k+1103}{396^{4k}}}} to...

All Killer No Filler is the debut studio album by Canadian rock band Sum 41, released on May 8, 2001. It was certified platinum in the United States,...

Whitney sum (named for Hassler Whitney) or direct sum bundle of E and F is a vector bundle E ⊕ F over X whose fiber over x is the direct sum Ex ⊕ Fx of...

In mathematics, a summability kernel is a family or sequence of periodic integrable functions satisfying a certain set of properties, listed below. Certain...

Bayan-Ovoo (Mongolian: Баян-Овоо is a sum (district) of Khentii Province in eastern Mongolia. The sum had a population in 2008 of 1,581 and an area of...

third of the form (5.q), where q is a higher prime. 65 has a prime aliquot sum of 19 within an aliquot sequence of one composite number (65,19,1,0) to the...

Sagil (Mongolian: Сагил) is a sum (district)[citation needed] of Uvs Province in western Mongolia. The main road connecting Ulaangom to Khandagayty, Russia...

000 a day (with a $7,000,000 lump sum option). Draws are held twice a week on Monday and Thursday nights. A lump sum option is available on the top two...

notation with k+1 digits ai as: n = ∑ i = 0 k a i b i {\displaystyle n=\sum _{i=0}^{k}a_{i}b^{i}} with, as usual, 0 ≤ ai < b for all i and ak ≠ 0. Then...

building is known as the "dim sum basket building" due to its likeness to the steamer baskets used to contain dim sum. On 25 March 2026, The Hive was...

Sum Ping Lee (Chinese: 李心平; Jyutping: Lei5 Sam1 Ping4, born 1947 or 1948) is a Chinese physician and gastroenterologist who served as the 39th Dean of...

∑ n = 1 ∞ f ( n ) , {\displaystyle \sum _{n=1}^{\infty }f(n)\leq \sum _{n=0}^{\infty }2^{n}f(2^{n})\leq \ 2\sum _{n=1}^{\infty }f(n),} which should be...

Тосонцэнгэл, meaning 'Oil happiness') is a sum of Zavkhan Province (aimag) in western Mongolia. It is the largest sum and sum centre in Zavkhan aimag after its...

Tin Sum is one of the 36 constituencies of the Sha Tin District Council. The seat elects one member of the council every four years. It was first created...

after the early 17th century mathematician Johann Faulhaber, expresses the sum of the p {\displaystyle p} th powers of the first n {\displaystyle n} positive...

Gallium can be seen to be anomalous. The most obvious effect is that the sum of the first three ionization potentials of gallium is higher than that of...

the form f ( x ) = ∑ k = 0 ∞ φ ( k ) k ! ( − x ) k {\displaystyle f(x)=\sum _{k=0}^{\infty }{\frac {\,\varphi (k)\,}{k!}}(-x)^{k}} where φ ( s ) {\textstyle...

{x} ,\mathbf {y} )={\sqrt {\sum _{i=1}^{n}(x_{i}-y_{i})^{2}}}} Manhattan distance (also called city-block or L1 distance) sums the absolute differences across...

data's hash sum. This is typically used to add words to spam e-mails, to bypass hash filters. As the e-mail's hash sum is different from the sum of e-mails...

that the sum of the proper divisors of each is equal to the other number. That is, s(a)=b and s(b)=a, where s(n)=σ(n) − n is equal to the sum of positive...

known as a g-torus or g-holed torus) is a surface formed by the connected sum of g distinct tori: the interior of a disk is removed from each of g distinct...

infinite sum of the reciprocals of the cubes of the positive integers. In symbols, ζ ( 3 ) = ∑ n = 1 ∞ 1 n 3 {\displaystyle {\begin{aligned}\zeta (3)&=\sum _{n=1}^{\infty...

= -B(n)*((n+2)*(n+1)/(4*Pi^2)) * Sum_{j>=1} a(j)/j^(n+2). Apart from signs also Sum_{d|n} core(d)^2*mu(n/d) where core(x) is the squarefree...

Michael Chen Wing Sum (Chinese: 曾永森; pinyin: Zēng Yǒngsēn; 26 June 1932 – 26 July 2024) was a Malaysian politician. Across his political career, he had...

A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result...

sum of all eight digits of the ISSN multiplied by their position in the number, counting from the right. (If the check digit is X, add 10 to the sum.)...

(Mongolian: Мөрөн) is a sum (district) of Khentii Province in eastern Mongolia. The Chandgana Tal coal mine is 25 km east of Mörön sum center. In 2010, its...

who was besieging Rome. When the Etruscans caught him, he said “Romanus sum civis” (I am a Roman citizen) and continued with "et facere et pati fortia...

into two parts: The first Borel–Cantelli lemma, which states that if the sum of the probabilities of the events is finite, then the probability that infinitely...

square is a square array of numbers, usually positive integers, where the sums of the numbers in each row, each column, and both main diagonals are the...

ω n τ ϕ ( τ ) . {\displaystyle \phi (\tau )={\frac {1}{\sqrt {\beta }}}\sum _{n}e^{-i\omega _{n}\tau }\phi (i\omega _{n})\iff \phi (i\omega _{n})={\frac...

Drum Sum is the second album by American jazz percussionist Buck Clarke. The album was released in 1961. Recorded November 8, 1960 at Bell Sound Studios...

Natural heritage refers to the sum total of the elements of biodiversity, including flora and fauna, ecosystems, and geological structures. It forms part...

Shan Sum Columbarium is a 12-story private columbarium located in Hong Kong. The building was designed by German architect Ulrich Kirchhoff, founder of...