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searching for Euler's constant 40 found (73 total)

Joseph Ser (148 words) [view diff] exact match in snippet view article find links to article

important results in the domain of factorial series. His representation of Euler's constant as a series of rational terms is well known. It was used in 1926 by

Floor and ceiling functions (5,912 words) [view diff] exact match in snippet view article find links to article

into two sequences via the floor function. There are formulas for Euler's constant γ = 0.57721 56649 ... that involve the floor and ceiling, e.g. γ =

Erdős–Graham problem (567 words) [view diff] exact match in snippet view article find links to article

known that, for this to be true, b {\displaystyle b} must be at least Euler's constant e {\displaystyle e} . Ernie Croot proved the conjecture as part of

Gompertz constant (688 words) [view diff] exact match in snippet view article find links to article

University Press. pp. 425–426. Lagarias, Jeffrey C. (2013-07-19). "Euler's constant: Euler's work and modern developments". Bulletin of the American Mathematical

Hadjicostas's formula (469 words) [view diff] exact match in snippet view article find links to article

arXiv:math/0405478. Sondow, J. (2003). "Criteria for irrationality of Euler's constant". Proc. Amer. Math. Soc. 131 (11): 3335–3344. doi:10.1090/S0002-9939-03-07081-3

Princeton Science Library (689 words) [view diff] case mismatch in snippet view article find links to article

Accelerating Cosmos by Robert P. Kirshner (2002) Gamma: Exploring Euler's Constant by Julian Havil [de] (2003) Journey from the Center of the Sun by Jack

Complete graph (1,253 words) [view diff] exact match in snippet view article find links to article

{\displaystyle w_{n+2}=n!e_{n}=\lfloor en!\rfloor ,} where e refers to Euler's constant, and e n = ∑ k = 0 n 1 k ! . {\displaystyle e_{n}=\sum _{k=0}^{n}{\frac

Constant problem (364 words) [view diff] case mismatch in snippet view article find links to article

"Numerical Results on the Transcendence of Constants Involving π, e, and Euler's Constant" (PDF). Mathematics of Computation. 50 (20): 275–281. doi:10

Transcendental number (6,752 words) [view diff] exact match in snippet view article find links to article

1098/rspa.1968.0111. S2CID 123486171. Lagarias, Jeffrey C. (2013-07-19). "Euler's constant: Euler's work and modern developments". Bulletin of the American Mathematical

John Wrench (686 words) [view diff] exact match in snippet view article find links to article

25 invited guests. Wrench, Jr., J. W. (1952). "A new calculation of Euler's constant". Mathematical Tables and Other Aids to Computation. 6: 255. Shanks

Golomb–Dickman constant (756 words) [view diff] exact match in snippet view article find links to article

Press. pp. 284–286. ISBN 0-521-81805-2. Lagarias, Jeffrey (2013). "Euler's constant: Euler's work and modern developments". Bull. Amer. Math. Soc. 50 (4):

List of numbers (3,970 words) [view diff] exact match in snippet view article find links to article

(2012). "On the arithmetic nature of the values of the gamma function, Euler's constant, and Gompertz's constant". Michigan Mathematical Journal. 61 (2): 239–254

Darkside communication group (730 words) [view diff] exact match in snippet view article find links to article

}{\frac {1}{n^{n}}}} (ISBN 978-4-87310-173-6) One million digits of the Euler's constant (オイラー定数1000000桁表, ISBN 978-4-87310-053-1) One million digits of the

Gamma (1,736 words) [view diff] no match in snippet view article find links to article

chemistry and biochemistry; see Alpha and beta carbon Hermite constant The Euler’s Constant also known as Euler–Mascheroni constant ≈ 0.57721566490153286 Stieltjes

Helmut Maier (556 words) [view diff] exact match in snippet view article find links to article

Maier's matrix method Maier's theorem Lagarias, Jeffrey (2013). "Euler's constant: Euler's work and modern developments". Bulletin of the American Mathematical

Kempner series (1,213 words) [view diff] case mismatch in snippet view article find links to article

"Kempner series". MathWorld. Havil, Julian (2003). Gamma: Exploring Euler's Constant. Princeton: Princeton University Press. ISBN 978-0-691-09983-5. Kempner

Euclid's theorem (3,429 words) [view diff] case mismatch in snippet view article find links to article

paper of his former proof. Havil, Julian (2003). Gamma: Exploring Euler's Constant. Princeton University Press. pp. 28–29. ISBN 0-691-09983-9. Furstenberg

Richard P. Brent (701 words) [view diff] case mismatch in snippet view article find links to article

M. (1980). "Some New Algorithms for High-Precision Computation of Euler's Constant". Mathematics of Computation 34 (149) 305-312. Brent, Richard Peirce;

Edray Herber Goins (1,013 words) [view diff] exact match in snippet view article find links to article

Washington) Ars Combin. 117 (2014) 2016 Riordan matrix representations of Euler's constant γ and Euler's number e (with Asamoah Nkwanta) International Journal

Riemann–Siegel theta function (1,521 words) [view diff] exact match in snippet view article find links to article

}\left({\frac {z}{n}}-\log \left(1+{\frac {z}{n}}\right)\right),} where γ is Euler's constant. Substituting ( 2 i t + 1 ) / 4 {\displaystyle (2it+1)/4} for z and

Wheel factorization (2,920 words) [view diff] exact match in snippet view article find links to article

{\varphi (n)}{n}}\log \log n=e^{-\gamma }\sim 0.56145948,} where γ is Euler's constant. Thus φ(n) / n goes to zero slowly as n increases to infinity, and

Capacitance (4,191 words) [view diff] exact match in snippet view article find links to article

= d / 2 a , D > 1 {\textstyle D=d/2a,D>1} γ {\textstyle \gamma } : Euler's constant q = D + D 2 − 1 {\displaystyle q=D+{\sqrt {D^{2}-1}}} ψ q ( z ) = ∂

Proof that 22/7 exceeds π (2,814 words) [view diff] case mismatch in snippet view article find links to article

MR 2176249, Zbl 1181.11077 Havil, Julian (2003), Gamma. Exploring Euler's Constant, Princeton, NJ: Princeton University Press, p. 96, ISBN 0-691-09983-9

Genetic drift (6,379 words) [view diff] exact match in snippet view article find links to article

}{m}}{\text{ if }}mN_{e}\gg 1\end{cases}}} where γ {\displaystyle \gamma } is Euler's constant. The first approximation represents the waiting time until the first

Differential entropy (2,842 words) [view diff] exact match in snippet view article find links to article

{\Gamma (p)\Gamma (q)}{\Gamma (p+q)}}} is the beta function, and γE is Euler's constant.: 219–230 Many of the differential entropies are from.: 120–122 As

Computational complexity of mathematical operations (1,576 words) [view diff] exact match in snippet view article find links to article

Gauss–Legendre algorithm O ( M ( n ) log ⁡ n ) {\displaystyle O(M(n)\log n)} Euler's constant, γ {\displaystyle \gamma } Sweeney's method (approximation in terms

Computational complexity of mathematical operations (1,576 words) [view diff] exact match in snippet view article find links to article

Gauss–Legendre algorithm O ( M ( n ) log ⁡ n ) {\displaystyle O(M(n)\log n)} Euler's constant, γ {\displaystyle \gamma } Sweeney's method (approximation in terms

Particle in a box (5,885 words) [view diff] exact match in snippet view article find links to article

\left({\frac {4\pi \hbar \,e^{2(1-\gamma )}}{L\,p_{0}}}\right)} where γ is Euler's constant. The quantum mechanical entropic uncertainty principle states that

List of unsolved problems in mathematics (20,026 words) [view diff] exact match in snippet view article find links to article

least one of four exponentials of combinations of irrationals Are Euler's constant γ {\displaystyle \gamma } and Catalan's constant G {\displaystyle G}

Srinivasa Ramanujan (11,705 words) [view diff] case mismatch in snippet view article find links to article

numbers". Messenger Math. 45: 81–84. Ramanujan, S. (1916). "A Series for Euler's Constant γ". Messenger Math. 46: 73–80. Ramanujan, S. (1917). "On the expression

Dirichlet eta function (3,694 words) [view diff] exact match in snippet view article find links to article

27 (2000), 29–34. Sondow, Jonathan (2005). "Double integrals for Euler's constant and ln 4/π and an analog of Hadjicostas's formula". Amer. Math. Monthly

Logarithm (11,674 words) [view diff] case mismatch in snippet view article find links to article

MR 1009558, section III.6 Havil, Julian (2003), Gamma: Exploring Euler's Constant, Princeton University Press, ISBN 978-0-691-09983-5, sections 11.5

FEE method (2,243 words) [view diff] exact match in snippet view article find links to article

M. McMillan, Some new algorithms for high-precision computation of Euler's constant. Math. Comp., Vol. 34 (1980). http://www.ccas.ru/personal/karatsuba/divcen

History of statistics (7,600 words) [view diff] case mismatch in snippet view article find links to article

Association, 18 (143), 841-851 JSTOR 2965467 Havil J (2003) Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, p. 157 C. S. Peirce (1873)

Secondary measure (3,522 words) [view diff] exact match in snippet view article find links to article

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 harmonic number

Basel problem (8,670 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle n\rightarrow \infty } . Havil, J. (2003), Gamma: Exploring Euler's Constant, Princeton, New Jersey: Princeton University Press, pp. 37–42 (Chapter

Dipole antenna (12,468 words) [view diff] exact match in snippet view article find links to article

57721566 … {\displaystyle \ \gamma _{e}=0.57721566\ \ldots \ } is Euler's constant. There is an equivalent alternate form favored by some authors that

Kinetic imaging (2,072 words) [view diff] exact match in snippet view article find links to article

of interest, J is the intensity of the attenuated radiation, "e" is Euler's constant, and D is the attenuation. The linear attenuation coefficient along

List of publications in mathematics (10,413 words) [view diff] exact match in snippet view article find links to article

Euler–Maclaurin formula and the values of ζ(2n), a further study of Euler's constant (including its connection to the gamma function), and an application

Irrationality measure (4,689 words) [view diff] exact match in snippet view article find links to article

irrationality measure for Liouville numbers and conditional measures for Euler's constant". arXiv:math/0307308. Chudnovsky, G. V. (1982). "Hermite-padé approximations