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Number, approximately 0.916
In mathematics, Catalan's constant G is the alternating sum of the reciprocals of the odd square numbers: G = ∑ n = 0 ∞ ( − 1 ) n ( 2 n + 1 ) 2 = 1 1 2
Catalan's_constant
Fixed number that has received a name
A mathematical constant is a number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter)
Mathematical_constant
Franco-Belgian mathematician (1814–1894)
conjecture Catalan beta function Fermat–Catalan conjecture Fuss–Catalan number Catalan's constant O'Connor, John J.; Robertson, Edmund F., "Ernesto Cesàro"
Eugène_Charles_Catalan
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or
List of mathematical constants
List_of_mathematical_constants
Topics referred to by the same term
up Catalan, Catalans, catalan, catalans, or catalán in Wiktionary, the free dictionary. Catalan may refer to: From, or related to Catalonia: Catalan language
Catalan
Difference between logarithm and harmonic series
{\displaystyle \log _{e}(x)} . Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase
Euler's_constant
Special mathematical function
3). The number β ( 2 ) = G {\displaystyle \beta (2)=G} is known as Catalan's constant. It has been proven that infinitely many numbers of the form β ( 2
Dirichlet_beta_function
org. Retrieved 2020-10-14. Nesterenko, Yu. V. (January 2016), "On Catalan's constant", Proceedings of the Steklov Institute of Mathematics, 292 (1): 153–170
List_of_numbers
Topics referred to by the same term
velar stop Komi Sje, the Cyrillic letter Ԍ G {\displaystyle G} , Catalan's constant G {\displaystyle G} , Graham's number g {\displaystyle g} , a metric
G_(disambiguation)
Sum of the inverses of the positive cubes
Apéry's constant is a mathematical constant, defined as the infinite sum of the reciprocals of the cubes of the positive integers. In symbols, ζ ( 3 )
Apéry's_constant
Romance language
area in the Region of Murcia. The Catalan-speaking regions are often called the Catalan Countries (Països Catalans). The language evolved from Vulgar
Catalan_language
still open. List of mathematical constants Catalan's constant Gieseking (1912). Weisstein, Eric W. "Gieseking's constant". MathWorld. Finch (2003), pp. 232–233
Gieseking_manifold
Computer program
y-cruncher is a computer program used for the calculation of some mathematical constant with theoretical accuracy limited only by computing time and available
Y-cruncher
Euler's constant γ {\displaystyle \gamma } and Catalan's constant G {\displaystyle G} irrational? Are they transcendental? Is Apéry's constant ζ ( 3 )
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Mathematical function
_{1}\left({\tfrac {1}{4}}\right)=\pi ^{2}+8G} where G represents Catalan's constant. There are no roots on the real axis of ψ1, but there exist infinitely
Trigamma_function
Mathematical constant
mathematics, the Glaisher–Kinkelin constant or Glaisher's constant, typically denoted A, is a mathematical constant, related to special functions like
Glaisher–Kinkelin_constant
In mathematics, a non-algebraic number
even positive integers n ≥ 2 {\displaystyle n\geq 2} ; in particular Catalan's Constant β(2). (None of them are known to be irrational.) Values of the Gamma
Transcendental_number
Transcendental single-variable function
(Borwein et al. 2000). Recall the Barnes G-function, the Catalan's constant K and the Gieseking constant V. Some special values include Cl 2 ( π 2 ) = K {\displaystyle
Clausen_function
Independence movement in Europe
December 2017. "Pro-unity Catalans parody secessionists". BBC News. 4 March 2018. Retrieved 5 March 2018. "Protesters mock Catalan independence bid with secession
Catalan_independence_movement
Special function related to the dilogarithm
{\displaystyle \arctan(t)+\arctan(1/t)=\pi /2} . The special value Ti2(1) is Catalan's constant 1 − 1 3 2 + 1 5 2 − 1 7 2 + ⋯ ≈ 0.915966 {\textstyle 1-{\frac {1}{3^{2}}}+{\frac
Inverse_tangent_integral
Mathematical constants
{1}{2k}}\right)^{k(-1)^{k}}} where A is the Glaisher–Kinkelin constant and G is Catalan's constant. The following two representations for Γ(3/4) were given
Particular values of the gamma function
Particular_values_of_the_gamma_function
Number that is not a ratio of integers
irrational include odd zeta constants ζ(5), ζ(7), ζ(9), ... for n > 3 and Catalan's constant β(2). In constructive mathematics, excluded middle is not valid, so
Irrational_number
Formula for computing the nth base-16 digit of π
compute a number of other constants in nearly linear time and logarithmic space. Explicit results are given for Catalan's constant, π 3 {\displaystyle \pi
Bailey–Borwein–Plouffe formula
Bailey–Borwein–Plouffe_formula
1375 world map
the central Sahara in the Catalan Atlas, on which the caption reads: Here rules the King of Organa, a Saracen that constantly battles with the Saracens
Catalan_Atlas
Australian-American mathematician
W. (1 August 2003). "Diophantine properties of numbers related to Catalan's constant". Mathematische Annalen. 326 (4): 705–721. doi:10.1007/s00208-003-0420-2
Frank_Calegari
Two interlinked loops with five structural crossings
hyperbolic volume of the complement of the Whitehead link is 4 times Catalan's constant, approximately 3.66. The Whitehead link complement is one of two two-cusped
Whitehead_link
Recursive integer sequence
The Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named
Catalan_number
Sounds and pronunciation of Catalan
(PDF) (in Catalan) (2nd ed.), Barcelona, Spain: Institut d'Estudis Catalans, Secció Filològica, ISBN 84-7283-446-8 Institut d'Estudis Catalans (2009), "I
Catalan_phonology
13 polyhedra; duals of the Archimedean solids
face-transitive. Each Catalan solid has constant dihedral angles, meaning the angle between any two adjacent faces is the same. Additionally, two Catalan solids, the
Catalan_solid
Three linked but pairwise separated rings
\Lambda } is the Lobachevsky function and G {\displaystyle G} is Catalan's constant. The complement of the Borromean rings is universal, in the sense
Borromean_rings
Numbers expressible as integrals of algebraic functions
includes, alongside the algebraic numbers, many well known mathematical constants such as the number π. Sums and products of periods remain periods, so
Period_(number_theory)
Mathematical Function
{\displaystyle \chi _{2}(i)=iK,} where i i is the imaginary unit and K is Catalan's constant. Other special values include: χ n ( 1 ) = λ ( n ) {\displaystyle
Legendre_chi_function
Feeling or expression of hate towards Catalan people
for Catalonia, to Catalans, Catalan culture, Catalan language or its history. It can also be referred to as Anti-Catalanism (Catalan: anticatalanisme,
Anti-Catalan_sentiment
Conditions for switching order of integration in calculus
first kind, K ( x ) {\displaystyle K(x)} , evaluates to twice the Catalan constant, C {\displaystyle C} . This can be shown using Fubini's theorem to
Fubini's_theorem
2017 unrecognised declaration of independence
Additionally, a pre-referendum Metroscopia survey indicated that 61% of Catalans believed the referendum would not hold international legitimacy. The Law
Catalan declaration of independence
Catalan_declaration_of_independence
Link formed from a finite number of twisted sections
volume of the complement of the (−2,3,8) pretzel link is 4 times Catalan's constant, approximately 3.66. This pretzel link complement is one of two two-cusped
Pretzel_link
Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n
{4}{3}}\right)^{3}+\pi ^{3}-27\zeta (3)\end{aligned}}} where G is Catalan's constant. In the special case that p = 1 {\displaystyle p=1} , we get H n
Harmonic_number
Iterative algorithm on numbers
= 8532 8532 – 2358 = 6174 7641 – 1467 = 6174 6174, known as Kaprekar's constant, is a fixed point of this algorithm. Any four-digit number (in base 10)
Kaprekar's_routine
Mathematics prize
previously inaccessible digits of π 2 {\displaystyle \pi ^{2}} and Catalan's constant". 2016: Daniel Rothman for his article "Earth's carbon cycle: a mathematical
Levi_L._Conant_Prize
giga (109) the Newtonian constant of gravitation the Einstein tensor the Gibbs energy the centroid of a triangle Catalan's constant weight measured in newtons
Latin letters used in mathematics, science, and engineering
Latin_letters_used_in_mathematics,_science,_and_engineering
constant. The balanced polygamma function can be expressed in a closed form at certain points (where A is the Glaisher constant and G is the Catalan constant):
Balanced_polygamma_function
Number of form 2^(2^p-1)-1 with prime exponent
70942}}} Catalan discovered this sequence after the discovery of the primality of M 127 = c 4 {\displaystyle M_{127}=c_{4}} by Lucas in 1876.p. 22 Catalan conjectured
Double_Mersenne_number
Phonological process
Valenciana Veny Clar, Joan (1982) [1978], Els parlars catalans. (Síntesi de dialectologia catalana) (in Catalan), Palma, Spain: Editorial Moll Walker, Rachel
Catalan_vowel_harmony
Jain cosmological text
2013). "The Computation of Previously Inaccessible Digits of π2 and Catalan's Constant" (PDF). Notices of the American Mathematical Society. 60 (6): 844
Lokavibhaga
Concept in mathematics
measure of the first form. In the formulas below G is Catalan's constant, γ is the Euler's constant, β2n is the Bernoulli number of order 2n, H2n+1 is the
Secondary_measure
Classics. Sabreen "Get Back" Live in Jerusalem 2010. 4. Orbury Common "Constant Billy" (feat. Boss Morris) Devil Gurning. PRAH Recordings. 2. 17 Sep 2023
List of Private Passions episodes (2020–present)
List_of_Private_Passions_episodes_(2020–present)
Swedish mathematician and politician (1814–1886)
n\end{array}}} where m and n are positive integers such that m<n, G is Catalan's constant, ζ stands for the Riemann zeta-function, Ψ is the digamma function
Carl_Johan_Malmsten
Numbers obtained by adding the two previous ones
Lucas. Like every sequence defined by a homogeneous linear recurrence with constant coefficients, the Fibonacci numbers have a closed-form expression. It has
Fibonacci_sequence
Cube that fits through hole in smaller cube
(2019), "Rupert properties of polyhedra and the generalized Nieuwland constant", Journal for Geometry and Graphics, 23 (1): 29–35 Lavau, Gérard (December
Prince_Rupert's_cube
Catalan architect (1852–1926)
GOW-dee; Catalan: [ənˈtɔni‿ɣəwˈði]; 25 June 1852 – 10 June 1926) was a Catalan architect and designer, widely known as the greatest exponent of Catalan Modernisme
Antoni_Gaudí
Political term for a state that is based around a nation
Espanya: reconeix els catalans com a "minoria nacional"" [UN whip in Spain: recognizes the Catalans as a "national minority"] (in Catalan). ""En espanyol,
Nation_state
France international rugby league footballer & coach
kilograms (11–22 lb) over the next several years combined with his still-constant chain smoking meaning he found competing in the ever professional championship
Puig_Aubert
Medieval Catalan county
achieved independence from Frankish rule, becoming hereditary rulers in constant warfare with the Islamic Caliphate of Córdoba and its successor states
County_of_Barcelona
Twelfth letter of the Latin alphabet
upper-case L. In chemistry, L is used as a symbol (as is NA) for the Avogadro constant. This article contains special characters. Without proper rendering support
L
History of Istanbul under Ottoman rule
period began the thirty-year "era of zulüm" (oppression). An atmosphere of constant fear of denunciations and repressions by political secret police was established
Istanbul during the Ottoman Empire
Istanbul_during_the_Ottoman_Empire
Spanish historian, politician and Aragonese cultural advocate. Pierre Constant, 93, French actor and stage director. Jack Dale, 80, American Olympic ice
Deaths_in_2026
Russian footballer and official
a starter in 1993–94, helping the Catalans immediately return to the top level. In the 1995 summer, due to constant injuries, Galiamin retired from the
Dmitri_Galiamin
Village in Liguria, Italy
fortification for the town to help protect against the constant incursions of the Saracens, the Catalans and local raiders. Among the festivals of particular
Tellaro
19th-century cultural movement
can be perceived as early as prehistoric cave painting and has been a constant, especially in art linked to religious beliefs, from Egyptian art or Aztec
Symbolist_painting
his son to see that there is more action in the outside world than his constant video game playing. To do that, Jett and Mira join them on a father-son
List_of_Super_Wings_episodes
King of Aragon from 1336 to 1387
Union of Aragon and other such devices of the nobility, with their near constant revolts, and with foreign wars, in Sardinia, Sicily, the Mezzogiorno, Greece
Peter_IV_of_Aragon
Catalan poet, playwright and translator
(Winning book of Premi de la Crítica - Poesia Catalana, 2001) L'arbre constant: obra poètica II (1994-2000). Barcelona: Proa, 2003 Entre bellesa i dolor :
Lluís_Solà_i_Sala
Spanish singer-songwriter (born 1992)
persecution within wider society. Purists view flamenco performances by Catalans, non-Gitanos, or non-Andalusians, such as Rosalía, as unfair and illegitimate
Rosalía
Set of composite numbers
In mathematics, a Catalan pseudoprime is an odd composite number n satisfying the congruence ( − 1 ) n − 1 2 ⋅ C n − 1 2 ≡ 2 ( mod n ) , {\displaystyle
Catalan_pseudoprime
Spanish businessman (born 1962)
Joan Laporta i Estruch (Catalan pronunciation: [ʒuˈan ləˈpɔɾtə əsˈtɾuk]; born 29 June 1962) is a Spanish businessman and politician. He is currently serving
Joan_Laporta
Infinite sequence of numbers satisfying a linear equation
2 , s 3 , … {\displaystyle s_{0},s_{1},s_{2},s_{3},\ldots } is called constant-recursive if it satisfies an equation of the form s n = c 1 s n − 1 + c
Constant-recursive_sequence
Fifth letter of the Latin alphabet
A scientific calculator display showing the Avogadro constant (6.02214076×1023 reciprocal moles) in E notation
E
Italian football executive and former footballer (born 1972)
explained in his Ted Talk entitled "Application Beyond Talent" that customers constantly talked about sports, especially football and cycling. After attending
Cristiano_Giuntoli
Puerto Rican actor (1940–1994)
acting in their productions for free or receiving a reduced salary. This constant involvement with the Latin American community earned him a posthumous Hispanic
Raul_Julia
Internal open science organization
of fundamental physical constants are published at the National Institute of Standards and Technology Reference on Constants, Units, and Uncertainty.
Committee on Data of the International Science Council
Committee_on_Data_of_the_International_Science_Council
surfaces. North light, entering from north-facing windows, is valued for its constant, soft, and even illumination. Artificial light includes several main types:
Light_in_painting
Type of permutation of a set of elements
shows that the derangement graph lags the permutation graph by an almost constant value. More information about this calculation and the above limit may
Derangement
Gillian Reynolds wrote: "Fisk is an atheist. Why didn't she pick up his constant conversational invocations of God, press him on his choice of Psalm 23
List_of_atheist_authors
Spanish journalist and writer
political and cultural chronicles in Catalan and Spanish. He is somewhat controversial for present day Catalans. On the one hand, his prose is widely
Josep_Pla
Legendary Catalonian character
SOBRE LA MITIFICACIÓ DELS ORÍGENS HISTÒRICS NACIONALS CATALANS. Barcelona: Institut d'Estudis Catalans. von Richthofen, Erich (1954). "EL LUGAR DE LA BATALLA
Otger_Cataló
Michael Botticelli, 63, American Olympic figure skater (1980). Yvonne Constant, 92, French actress (Gigot, Monkeys, Go Home!, Their Last Night), singer
Deaths_in_February_2023
Spanish footballer (born 1994)
i Marc Cucurella, millors jugadors catalans de la temporada 2021–2022". Federació Catalana de Futbol (in Catalan). Retrieved 10 March 2023. "Alexia Putellas
Alexia_Putellas
object of protests. One employers' organization complained that it was "a constant nightmare for traders and industrialists to be presented as the only tax
Fall of the dictatorship of Miguel Primo de Rivera
Fall_of_the_dictatorship_of_Miguel_Primo_de_Rivera
Typographical symbol
used as the decimal point in British publications, such as tables of constants (e.g., "π = 3·14159"). In publications conforming to the standards of
Middle_dot
based on shifting alliances and contested loyalties set in a backdrop of constant inter-polity interactions, both through war and peace. Legendary accounts
History_of_the_Philippines
Number used for counting
Sum-product Coding-related Meertens Other Dudeney Factorion Kaprekar Kaprekar's constant Keith Lychrel Narcissistic Perfect digit-to-digit invariant Perfect digital
Natural_number
Figurate number
Sum-product Coding-related Meertens Other Dudeney Factorion Kaprekar Kaprekar's constant Keith Lychrel Narcissistic Perfect digit-to-digit invariant Perfect digital
Triangular_number
and laws of the State of Tennessee. So long as a person's name remains constant and consistent, and unless and until changed in the prescribed manner,
Timeline of women's legal rights (other than voting) in the 20th century
Timeline_of_women's_legal_rights_(other_than_voting)_in_the_20th_century
Vishnu Athreya (who was infamously known for plaguing the CN schedule with constant reruns of Teen Titans Go! back in 2017) was appointed as EVP & President
2026_in_animation
Noble family and political dynasty
dress their wounds... And aboard the captured vessels we found Genoese, Catalans, Sicilians, Provencals, and Cretans, of whom those who had not perished
House_of_Loredan
Teams: France: Constant Villegas (Toulouse); Vincent Duport (Catalans Dragons), Sébastien Planas (Toulouse), Jean-Philippe Baile (Catalans Dragons), Frédéric
2009_in_rugby_league
Folkloric party in Tarragona, Spain
The Santa Tecla Festival (Catalan: Festes de Santa Tecla, IPA: [ˈfestəz ðə ˈsantə ˈteklə]) is a festival held in Tarragona, Catalonia, Spain. Plunging
Santa_Tecla_Festival
Fast summation method in mathematics
the classical constants e, π , {\displaystyle \pi ,} the Euler constant γ , {\displaystyle \gamma ,} the Catalan and the Apéry constants, such higher transcendental
FEE_method
Spanish football scandal
'Barcelonitis'" and criticized their official TV channel for "vomiting lies and constantly poisoning public opinion." He maintained that the Negreira allegations
Negreira_case
Catalan football manager and player (born 1971)
Josep "Pep" Guardiola Sala (Catalan: [ˈpɛb‿ɡwəɾðiˈɔlə]; born 18 January 1971) is a Catalan football manager and former player from Spain. He is the global
Pep_Guardiola
American actress and producer (born 1990)
Rampling, remarking that "the considerable talent on display is [the film's] constant saving grace." In 2019, Lawrence made her fourth and final appearance as
Jennifer_Lawrence
List of fears of different things or objects
fear/dislike of Arabs Catalanophobia fear/dislike of Catalans, Catalonia, Catalan culture, or the Catalan language Christianophobia fear/dislike of Christians
List_of_phobias
Spanish painter, poet, journalist, collector and playwright
Spain, France, and Italy, making travel a constant throughout his life. Travel would go on to be a constant in his life. In 1888, he established himself
Santiago_Rusiñol
Political philosophy based on tradition
Party in 1959: "Conservatism is not so much a philosophy as an attitude, a constant force, performing a timeless function in the development of a free society
Conservatism
Catalan revolt against King Charles II of Spain
Reapers' War (Catalan: Guerra dels Segadors) from 1640–1652. The 1640 revolt had broad support among Catalan society, and the Catalans' ally France annexed
Revolt_of_the_Barretinas
Mallorcan poet and translator
in which she defended Catalan identity and language; and in June 1936 she was one of the signatories of the Resposta als catalans [ca]. Several years later
Maria_Antònia_Salvà_i_Ripoll
Sweet and viscous substance made by bees
create large amounts of body heat. They use this ability to produce a constant ambient temperature in their hives. Hive temperatures are usually around
Honey
Natural number
alongside other regular polygons, without tiling the plane. 42 is the magic constant of the smallest non-trivial magic cube, a 3 × 3 × 3 {\displaystyle 3\times
42_(number)
European languages, especially Romance languages such as Ladino, Aragonese or Catalans is referred to as aljamiado. It was adopted by Bosnian Muslims, who previously
Literature of Bosnia and Herzegovina
Literature_of_Bosnia_and_Herzegovina
History of the Greek island
the Venetian governor of Methoni dislodged Antonio Tocco and his band of Catalans from Zakynthos in 1482. Antonio Tocco hung on to Cephallonia for another
History_of_Zakynthos
travel, tourism, insurance
CATALANS CONSTANT
CATALANS CONSTANT
CATALANS CONSTANT
CATALANS CONSTANT
CATALANS CONSTANT
CATALANS CONSTANT
CATALANS CONSTANT
CATALANS CONSTANT
CATALANS CONSTANT
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