Searches , social queries for CHARACTER SUM
Search references for CHARACTER SUM. Phrases containing CHARACTER SUM
See searches and references containing CHARACTER SUM!
Search references for CHARACTER SUM. Phrases containing CHARACTER SUM
See searches and references containing CHARACTER SUM!CHARACTER SUM
Mathematical construct
In mathematics, a character 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
Character_sum
Addition of several numbers or other values
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
Summation
Number-theoretic concept
Jacobi sum is a type of character sum formed with Dirichlet characters. Simple examples would be Jacobi sums J(χ, ψ) for Dirichlet characters χ, ψ modulo
Jacobi_sum
Sum in algebraic number theory
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(r)⋅ψ(r) where the sum is over elements
Gauss_sum
bound for character sums Sχ(N,H):=∑N+1≤n≤N+Hχ(n) where χ is a Dirichlet character modulo a cube free q∈ℕ that is not the principal character χ0. The inequality
Burgess_inequality
Open conjecture that no real circulant Hadamard matrix has order greater than 4
cannot be a prime power. He also developed the self-conjugacy test, a character-sum divisibility criterion. One useful consequence is that, if pa is the
Ryser's conjecture on circulant Hadamard matrices
Ryser's_conjecture_on_circulant_Hadamard_matrices
Chinese cuisine
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
Dim_sum
Complex-valued arithmetic function
characters need more than four generators. Character sum Multiplicative group of integers modulo n Primitive root modulo n Multiplicative character This
Dirichlet_character
Character sums related to Jacobsthal sums
In mathematics, Brewer sums are finite character sums introduced by Brewer related to Jacobsthal sums. Let a ∈ Z / q Z {\displaystyle a\in \mathbb {Z}
Brewer_sum
Extension of the Luhn algorithm
generate a check character is: char GenerateCheckCharacter(string input) { int factor = 2; int sum = 0; int n = NumberOfValidInputCharacters(); // Starting
Luhn_mod_N_algorithm
2002 film by Phil Alden Robinson
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
The_Sum_of_All_Fears_(film)
Ancient Mesopotamian civilization from 3300 to 1900 BC
Sumer (/ˈsuːmər/ SOO-mər) is the earliest known civilization, located in the historical region of southern Mesopotamia (now south-central Iraq), emerging
Sumer
Sum type in number theory
with coefficients given by a quadratic character; for a general character, one obtains a more general Gauss sum. These objects are named after Carl Friedrich
Quadratic_Gauss_sum
Finite sum formed using the exponential function
partial sums approximate a Cornu spiral; this implies massive cancellation. Auxiliary types of sums occur in the theory, for example character sums; going
Exponential_sum
Canadian rock musician (born 1980)
keyboardist, main songwriter, producer, and co-founder of the rock band Sum 41. Whibley was the band's only constant member, though bassist Jason "Cone"
Deryck_Whibley
Representation theory
}(H){\sum _{w\in W}\varepsilon (w)e^{w(\rho )(H)}}=\sum _{w\in W}\varepsilon (w)e^{w(\lambda +\rho )(H)}.} The character is itself a large sum of exponentials
Weyl_character_formula
Phrase of the philosopher René Descartes
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
Cogito,_ergo_sum
{\displaystyle E(\chi ,\alpha )=\sum _{Tr_{F/K}t=\alpha }\chi (t)} where F is a finite extension of the finite field K, and χ is a character of the multiplicative
Eisenstein_sum
Russian mathematician (1937–2008)
method of estimating sums with prime numbers, enabled him to obtain in 1970 an estimate of the sum of values of a non-principal character modulo a prime q
Anatoly_Karatsuba
2015 ranking of the 64 series characters, describing him as "a collection of cool concepts that doesn't make for much of a sum" whereas "Moloch does a lot
Characters of the Mortal Kombat series
Characters_of_the_Mortal_Kombat_series
symbol (a/p), and the sum is taken over residue classes modulo p. More generally, given a Dirichlet character χ mod n, the Gauss sum mod n associated with
Gaussian_period
Algebraic structure
fields and the theory has many applications including exponential and character sum estimates. Finite fields have widespread application in combinatorics
Finite_field
Sequence of digital values used for synchronisation
recast as a problem about binary sequences, cyclic difference sets and character sums, and was taken up by Richard Turyn, James Storer and later authors.
Barker_code
Zallaghi, Maysam (10 February 2019). "Non-Abelian finite groups whose character sums are invariant but are not Cayley isomorphism". Journal of Algebra and
Babai's_problem
orthogonality relationship for the characters: i.e., ∑ k = 1 n f k ∗ ( g i ) f k ( g j ) = n δ i j {\displaystyle \sum _{k=1}^{n}{f_{k}}^{*}(g_{i})f_{k}(g_{j})=n\delta
Character_group
Barcode system used by Royal Mail
extensions according to their position in the character, summing the weights, and taking modulo 6 of the sum. For example the symbol for 'B' has bottom half
RM4SCC
English writer and journalist (1812–1870)
Papers, a publishing phenomenon—thanks largely to the introduction of the character Sam Weller in the fourth episode—that sparked Pickwick merchandise and
Charles_Dickens
American series of action installments depicting the character created by Tom Clancy
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
Jack_Ryan_(franchise)
Computational method in group theory
there are no terms in the sum and therefore the character value is zero. Consider the calculation of one of the character values for the symmetric group
Murnaghan–Nakayama_rule
Standard for international postal mail tracking numbers
forEach((n, i) => sum = sum + (n * weights[i])); sum = 11 - (sum % 11); if (sum == 10) sum = 0; else if (sum == 11) sum = 5; return sum; } checkDigit ::
S10_(UPU_standard)
Esoteric programming language
are recognized as operations, such as "sum", "quotient", and "cube". A sentence that assigns a value to a character starts with "You", "Thou", or "Thee"
Shakespeare Programming Language
Shakespeare_Programming_Language
Mathematical conjecture about zeros of L-functions
Estimate of the character sum in the Pólya–Vinogradov inequality can be improved to O(qloglogq), q being the modulus of the character. In 1913, Grönwall
Generalized Riemann hypothesis
Generalized_Riemann_hypothesis
the Riemann zeta function Pólya–Vinogradov inequality – Inequality on character sums Pólya conjecture – Disproven statement about prime factors Fueter–Pólya
List of things named after George Pólya
List_of_things_named_after_George_Pólya
When a Gauss sum is the square root of a prime number, multiplied by a root of unity
that for a Dirichlet character modulo an odd prime, if the argument of its Gaussian sum is a root of unity, then the character must be quadratic. It
Chowla–Mordell_theorem
interviews with the show's characters, provides the audience access to the ongoing interior monologues for all of the main characters, as well as occasional
List of The Office (American TV series) characters
List_of_The_Office_(American_TV_series)_characters
Character from The O.C.
fictional character on the FOX television series The O.C., portrayed by Rachel Bilson. Summer was originally intended as a small supporting character, only
Summer_Roberts
Supervillain appearing in DC Comics
DC Comics. Created by Bill Finger, Bob Kane, and Jerry Robinson, the character first appeared in the debut issue of the comic book Batman on April 25
Joker_(character)
Topics referred to by the same term
after the German mathematician Carl Gustav Jacob Jacobi: Jacobi sum, a type of character sum Jacobi method, a method for determining the solutions of a diagonally
Jacobi
1991 thriller novel by Tom Clancy
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)
The_Sum_of_All_Fears
Constructions of Hadamard matrices
these follows from the character sum ∑ z ∈ G F ( q ) χ ( z − x ) χ ( z − y ) = { q − 1 if x = y − 1 if x ≠ y . {\displaystyle \sum _{z\in \mathrm {GF}
Paley_construction
Function in number theory
prime. Sums of the form ∑(f(a)p), typically taken over all integers in the range [0,p−1] for some function f, are a special case of character sums. They
Legendre_symbol
ensemble cast of characters and takes place in the same fictional universe as Toriyama's other work, Dr. Slump. While many of the characters are humans with
List of Dragon Ball characters
List_of_Dragon_Ball_characters
Russian mathematician (born 1957)
American Mathematical Society. Konyagin, S.; Shaparlinski, I. (1999). Character sums with exponential functions and their applications. Cambridge: Cambridge
Sergei_Konyagin
Integer that is a perfect square modulo some integer
A046071 in the OEIS).) Euler's criterion Gauss's lemma Zolotarev's lemma Character sum Law of quadratic reciprocity Quadratic residue code Lemmemeyer, Ch.
Quadratic_residue
Test of Standard Chinese proficiency for non-native Chinese speakers
minimum number of points required for each of the sections as long as the sum is over 120 or 180 points respectively. HSK 5 and 6 also have a maximum of
Zhongwen_Shuiping_Kaoshi
Chinese doctor and Grandmaster of Wing Chun Kung Fu
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
Sum_Nung
1997 film by Don Bluth and Gary Goldman
the artistic touch applied doesn't allow the whole to become more than the sum of its various, but invariably familiar, elements". Margaret McGurk, reviewing
Anastasia_(1997_film)
American actress and former model (born 1971)
the fiancée of John Cusack's character. Moynahan worked opposite Ben Affleck and Morgan Freeman in the action film The Sum of All Fears, based on Tom Clancy's
Bridget_Moynahan
Concept in mathematical group theory
the direct sum of subrepresentations, then the corresponding character is the sum of the characters of those subrepresentations. If a character of the finite
Character_theory
Encoding for shared Han characters
Most characters appear in multiple sources, so the sum of individual character counts (108,493) is far greater than the number of encoded characters (20
CJK_Unified_Ideographs
Parser generator program
reader; // (...) Fill TextReader with character SumLexer lexer = new SumLexer(reader); SumParser parser = new SumParser(lexer); parser.statement(); Free
ANTLR
2026 film by Joe Carnahan
broken down as team members suspect each other of trying to steal a large sum of cash. It was released by Netflix on January 16, 2026, to generally favorable
The_Rip_(film)
Unique numeric book identifier since 1970
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
ISBN
American mathematician
Technology in 1972. The title of his thesis was "Evaluation of certain character sums". He was a Putnam Fellow at MIT in 1970. He received his Ph.D. in Mathematics
Jeffrey_Lagarias
2001 single by Sum 41
"In Too Deep" is a song by Canadian rock band Sum 41. It is the seventh track on their debut studio album All Killer No Filler (2001), and was released
In_Too_Deep_(Sum_41_song)
American actor and filmmaker (born 1946)
substance. In 2013, it was reported that Stallone paid a $2 million lump-sum settlement alongside a monthly amount and a trust for psychiatric and medical
Sylvester_Stallone
Mathematics concept
(3): 332–338. doi:10.1016/0097-3165(72)90098-2. Turyn, R. J. (1965). "Character sums and difference sets". Pacific Journal of Mathematics. 15 (1): 319–346
Hadamard_matrix
16th episode of the 7th season of The X-Files
episode a relatively negative review. He derided the lack of Anderson's character, summing up his feelings in the simple sentence, "No Dana Scully." Shapiro
Chimera_(The_X-Files)
Modular arithmetic concept
Springer. p. 24. ISBN 978-0-387-94457-9. Burgess, D. A. (1962). "On Character Sums and Primitive Roots †". Proceedings of the London Mathematical Society
Primitive_root_modulo_n
Barcode format
the stop symbol) Quiet zone The check symbol is calculated from a weighted sum (modulo 103) of all the symbols. Code 128 includes 108 symbols: 103 data
Code_128
Cast of neo-Western crime media franchise
Martinez). After the break-up, she confronts Jesse at his home about a large sum of money he had left for her at her home. He tells her the money is for her
List of characters in the Breaking Bad franchise
List_of_characters_in_the_Breaking_Bad_franchise
Hong Kong actor
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
Sammy_Sum
the required form, there are two such characters, together with the trivial character. The cubic exponential sum K(n,p) defined by K ( n , p ) = ∑ x =
Kummer_sum
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
Jantzen_filtration
Fictional character created by Tom Clancy
Team 1. The character John Clark appears in the following books: The Cardinal of the Kremlin (1988) Clear and Present Danger (1989) The Sum of All Fears
John Clark (Ryanverse character)
John_Clark_(Ryanverse_character)
Logographic writing system
several different standards. This is summed up in practice with a few rules of thumb, including that characters are generally assembled from left to right
Chinese_characters
Fictional character from the franchise Frozen
Elsa is a fictional character who appears in Walt Disney Animation Studios' animated fantasy film Frozen (2013), and later media of the Frozen franchise
Elsa_(Frozen)
Two-dimensional group theory table
the sum is over all of the irreducible characters χi of G and the symbol |CG(g)| denotes the order of the centralizer of g. For an arbitrary character χi
Character_table
Fictional character created by author Tom Clancy
John Patrick "Jack" Ryan is a character created by American author Tom Clancy in 1984. He is the main character of the Ryanverse series of novels, films
Jack_Ryan_(character)
Fictional character from Disney's Sleeping Beauty
Aurora, also known as Sleeping Beauty or Briar Rose, is a fictional character who appears in Disney Animation's 1959 film Sleeping Beauty. Voiced by Mary
Aurora_(Sleeping_Beauty)
Topics referred to by the same term
programming languages as single characters Multigraph (orthography), a sequence of letters that behaves as a unit and is not the sum of its parts Multigraph (disambiguation)
Digraphs_and_trigraphs
Natural number
divisible by 9 if and only if the sum of its digits is divisible by 9. 9 is the only square number that is the sum of two consecutive, positive cubes:
9
Title character and the protagonist of the Kung Fu Panda franchise
Xiaopo and born Lotus Li,[citation needed] is a fictional character and the title character and protagonist of the Kung Fu Panda franchise, which is produced
Po_(Kung_Fu_Panda)
Fictional being in a narrative
A character is a person or being in a narrative (such as a novel, play or film). The character may be entirely fictional or based on a real-life person
Character_(arts)
Mathematics award
that "spans and connects a broad spectrum of problems ranging from character sums in number theory to singular integral operators in Euclidean spaces"
Sadosky_Prize
Cuneiform sign
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
Šum_(cuneiform)
Fictional steam locomotive
Thomas the Tank Engine is a fictional character created for The Railway Series children's books by Wilbert Awdry. He is an anthropomorphic tank locomotive
Thomas_the_Tank_Engine
Australian and American actress (born 1967)
his marriage. Both denied the allegations, and Kidman won an undisclosed sum from the British tabloids that published the story. She began dating musician
Nicole_Kidman
American actor (born 1963)
Before the case went to trial, Depp settled with Eckert for an undisclosed sum, according to TMZ. In April 2015, Depp and his then-wife Amber Heard breached
Johnny_Depp
List of security identifiers
total weighted sum of all seven characters a multiple of 10. The check digit is computed using a weighted sum of the first six characters. Letters have
SEDOL
though the same glyph might be used for both. ∑: U+2211 'n-ary summation' is not the same character as U+03A3 'Greek capital letter Sigma' though the
List of XML and HTML character entity references
List_of_XML_and_HTML_character_entity_references
This is a list of fictional characters in the television series Heroes, the Heroes graphic novels, and the Heroes webisodes. In its inaugural season, Heroes
List_of_Heroes_characters
Divergent series
sum of the series is the triangular number ∑k=1nk=n(n+1)2, which increases without bound as n goes to infinity. Because the sequence of partial sums fails
1_+_2_+_3_+_4_+_⋯
Mathematical concept
ch(V)=\sum _{\mu }\dim V_{\mu }e^{\mu },} where the sum is taken over all weight spaces of the module V . {\displaystyle V.} The algebraic character of the
Algebraic_character
Unidentified serial killer in London in 1888
Wilson, Colin; Odell, Robin; Gaute, J. H. H. (1988). Jack the Ripper: Summing up and Verdict. London: Corgi Books. ISBN 978-0-552-12858-2 Woods, Paul;
Jack_the_Ripper
American fictional character developed for British TV
the debut EP Half Hour of Power of the Canadian band Sum 41. During a montage of main characters Daria Morgendorffer and Jane Lane in the opening sequence
Max_Headroom
homes for Titan. David Sum (Hui Lin) is a character appearing in American comic books published by Marvel Comics. The character was created by writer Brian
List of Marvel Comics characters: S
List_of_Marvel_Comics_characters:_S
American actor (born 1967)
2000 film adaptation of Hamlet starring Ethan Hawke, and as a spy in The Sum of All Fears (2002) acting opposite Ben Affleck and Morgan Freeman. He provided
Liev_Schreiber
Method used for display options on video text terminals
Certain sequences of bytes, most starting with an ASCII escape character and a bracket character, are embedded into text. The terminal interprets these sequences
ANSI_escape_code
American comedy television series
Monaldo character, was a middleman for a sheikh. Simpson was reportedly further told that this sheikh was willing to pay a seven-figure sum to have him
Who_Is_America?
2013 video game
September 2013. Reilly, Luke (5 September 2013). "Grand Theft Auto V: The Sum of all Peers". IGN. Ziff Davis. Archived from the original on 7 September
Grand_Theft_Auto_V
American mathematician
that "spans and connects a broad spectrum of problems ranging from character sums in number theory to singular integral operators in Euclidean spaces"
Lillian_Pierce
Australian actor (1979–2008)
hire me, and it will be recognisable'... People always feel compelled to sum you up, to presume that they have you and can describe you. That's fine.
Heath_Ledger
2001 American film by Richard Kelly
Films agreed to increase the budget to $4.5 million. Kelly later called the sum the "bare minimum" to make the film. After securing enough financial backing
Donnie_Darko
Fictional character from Disney's 2009 animated film The Princess and the Frog
Tiana Rogers is a fictional character in Walt Disney Animation Studios' animated film The Princess and the Frog (2009). Created by writers and directors
Tiana (The Princess and the Frog)
Tiana_(The_Princess_and_the_Frog)
Even integers as sums of two primes
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
Goldbach's_conjecture
Natural number
four-square theorem states that every positive integer can be written as the sum of at most four squares. Four is one of four all-Harshad numbers. Each natural
4
American actor (born 1978)
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
Ian_Somerhalder
American television series (2005–present)
completely, and then get up again, confident that you're bigger than the sum of the tragedies you've suffered—because everyone else is, too. The layers
Grey's_Anatomy
Fictional character list
A variety of fictional characters appear in the American comedy-drama television series Shameless, created by Paul Abbott. First broadcast on Showtime
List of Shameless (American TV series) characters
List_of_Shameless_(American_TV_series)_characters
travel, tourism, insurance
CHARACTER SUM
CHARACTER SUM
CHARACTER SUM
CHARACTER SUM
CHARACTER SUM
CHARACTER SUM
CHARACTER SUM
CHARACTER SUM
CHARACTER SUM
travel, tourism, insurance