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# Topic: Euler Mascheroni constant

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 Leonhard Euler - Wikipedia, the free encyclopedia In 1741 Euler accepted a position at the Academy of Sciences in Berlin, however, due to various reasons, among which was the lack of the king's support, he returned to St. Petersburg in 1766, where he remained for the rest of his life. Euler was the first to publish a systematic introduction to mechanics in Mechanica sive motus scientia analytice exposita (1736, Mechanics or motion explained with analytical science —that is, calculus). Leonhard Euler was born near Basel, Switzerland, the son of Paul Euler, a Lutheran minister. en.wikipedia.org /wiki/Euler   (1552 words)

 Euler-Mascheroni constant - Wikipedia, the free encyclopedia In 1790 Italian mathematician Lorenzo Mascheroni introduced the notation γ for the constant, and attempted to extend Euler's calculation still further, to 32 decimal places, although subsequent calculations showed that he had made an error in the 20th decimal place. Euler used the notation C for the constant, and initially calculated its value to 6 decimal places. The constant was first defined by Swiss mathematician Leonhard Euler in a paper De Progressionibus harmonicus observationes published in 1735. en.wikipedia.org /wiki/Euler-Mascheroni_constant   (445 words)

 Euler's Constant Euler's constant, sometimes called the Euler-Mascheroni constant, also known as gamma, has the value is.57721 56649 01532 86060 65120 90082... Euler's constant is defined as the limit, as n tends to infinity, of the sum of 1 + 1/2 + 1/3 +... Euler's constant is more difficult to calculate than the square root of 2, e, or pi, and it is less well understood. www.hypermaths.org /quadibloc/math/eulint.htm   (353 words)

 constants.txt Euler Mascheroni constant +------------------------------------------------------------ Euler Mascheroni constant is defined as the limit of (1+1/2+1/3+...+1/n)-log(n) as n goes to infinity. Bruns constant +------------------------------------------------------------ Bruns constant is the sum of the reciprocals of all twin primes. Pythagoras constant +------------------------------------------------------------ The Pythagoras constant is the square root of 2 x=sqrt2=1.41421.... www.math.harvard.edu /~knill/sofia/data/constants.txt   (647 words)

 PlanetMath: Euler's constant This is version 6 of Euler's constant, born on 2002-02-10, modified 2003-02-07. planetmath.org /encyclopedia/EulersConstant.html   (44 words)

 Euler's constant - a Whatis.com definition - see also: gamma Euler's constant, sometimes called gamma or the Euler-Mascheroni constant, has the mathematical value of.577215664901532860606512090082...(like pi, this constant is an unresolvably long number). Euler's constant is not as well-known as pi or e, but it is nevertheless significant, especially in number theory and in certain engineering-related formulas and calculations. Euler's constant (gamma) is defined as the limit of the expression (1 + 1/2 + 1/3 + 1/4 +... whatis.techtarget.com /definition/0,,sid9_gci859531,00.html   (196 words)

 Earliest Uses of Symbols for Constants c for the Euler-Mascheroni constant was used by Leonhard Euler (1707-1783) in De progressionibus harmonicis observationes, Commentarii academiae scientiarum petropolitanae 7 (1734-35), published in 1740, pp.150-161. It seems unlikely that Euler chose the letter because it is the initial of his own name, as occasionally been suggested: he was an extremely modest man and often delayed publication of his own work so that a colleague or student of his would get due credit. Euler next used e in a letter addressed to Goldbach on November 25, 1731, writing that e "denotes that number whose hyperbolic logarithm is = 1." He used e again in 1736 in his Mechanica. www.veling.nl /anne/templars/constants.html   (2144 words)

 Euler's constant: Encyclopedia topic Euler-Mascheroni constant (Euler-Mascheroni constant: the euler-mascheroni constant is a mathematical constant, used mainly in number theory,... Euler's constant (from Leonhard Euler (Leonhard Euler: Swiss mathematician (1707-1783))) may refer to either of two mathematical constant (mathematical constant: a mathematical constant is a quantity, usually a real number or a complex number,... www.absoluteastronomy.com /reference/eulers_constant   (74 words)

 MSN Search: Euler The Euler-Mascheroni constant gamma, sometimes also called the Euler constant (but not to be confused with the constant e==2.718281...) is defined as the limit of the sequencewhere H_n is a harmonic... Leonhard Euler Leonhard Euler (1707-1783) was arguably the greatest mathematician of the eighteenth century (His closest competitor for that title is Lagrange) and one of the most prolific of all time... Euler numbers give the number of odd alternating permutations and are related to Genocchi numbers. sc.info.gov.hk /gb/hanweb.kanhan.com/b5txt/search.msn.com/results.aspx?q=Euler   (325 words)

 gamma.html Direct use of formula (1) to compute Euler constant is of poor interest since the convergence is very slow. Integral and series formulae for the Euler constant can be found in Collection of formulae for the Euler constant. J.W. Wrench Jr., A new calculation of Euler's constant, MTAC, (1952), vol. numbers.computation.free.fr /Constants/Gamma/gamma.html   (1154 words)

 LEONHARD EULER Euler's contribution to mathematics is represented here by a few of the notations conventionalized by him or in his honor. Euler grew up near Basel, Switzerland, and studied at an early age under Johann Bernoulli. From 1727 to 1741, Euler worked in St. Perersburg, Russia, and then moved to the Akademie in Berlin. faculty.evansville.edu /ck6/bstud/euler.html   (331 words)

 Math Games: Ten Trillion Zeta Zeros Lorenzo Mascheroni found the first 19 digits of this constant, so it is often called the Euler-Mascheroni constant. Euler showed that the first n terms equals approximately Log[n] + γ, where γ is Euler's constant, about 0.57721566490153286061. At the age of 28, in 1735, Euler proved that ζ(2) = π www.maa.org /editorial/mathgames/mathgames_10_18_04.html   (1046 words)

 The Prime Glossary: Euler's constant Euler's Constant (or Mascheroni's constant) is the limit (as n goes to infinity) of Finally, it is possible to calculate Euler's constant from the nth harmonic number H The constant gamma occurs in many places in number theory; we will give three examples. primes.utm.edu /glossary/page.php?sort=Gamma   (257 words)

 MathLinks Math Forum :: View topic - euler's constant Euler has the distinction of being (maybe?) the only person with two constants named after him. is generally referred to as the "euler number" rather than as his constant. Posted: Thu 17 Mar 2005, 02:03 Post subject: euler's constant www.mathlinks.ro /Forum/post-190100.html   (364 words)

 Numerical Constants - Mathematics & Physics - Numericana Some other set of independent constants could have been used to define the 7 basic units (for example, a conventional value of the electron's charge could replace the conventional permeability of the vacuum) but the following one was chosen after careful considerations. The attribution of this irrational constant to Ramanujan was made by Simon Plouffe, as a monument to a famous 1975 April fools column by Martin Gardner in Scientific American (where it was claimed that the above had been proven to be exactly an integer, as conjectured by Ramanujan in 1914 [sic!]). Planck's constant: The ratio of a photon's energy to its frequency. home.att.net /~numericana/answer/constants.htm   (4865 words)

 Euler's Constant The Euler's Constant, or Mascheroni's constant, is defined as the limit (as n goes to infinity) of This constant appears occurs in a lot of places such as numbers theory, prime numbers, etc. This constant is usually denoted by the lower-case Greek letter gamma www.logicville.com /sel12.htm   (54 words)

 APREPRO Predefined Variables The euler-mascheroni constant is defined as the limit of 1 + 1/2 +... The default format and comment variables are defined with a leading underscore in their name so they can be redefined without generating an error message. endo.sandia.gov /~sjowen/help/Appendix/APREPRO/APREPRO_Predefined_Variables.html   (221 words)

 Meningar.com om euler. EULER, Leonhard, About mm. The Mathematics of Leonhard Euler (1707 - 1783)(Swiss)    Leonhard Euler of Basel, Switzerland, is an extraordinary mathematician... The EULER service is the result of the EULER-project which is co-funded by the European Commission in the Telematics for Libraries sector from the Telematics Applications programme... Euler then stepped forward and stated: "Sir,,hence God exists; reply!" Diderot had no idea what Euler was talking about... www.meningar.com /euler.html   (1388 words)

 Reference.com/Encyclopedia/Euler's constant Euler's constant (from Leonhard Euler) may refer to either of two mathematical constants: www.reference.com /browse/wiki/Euler's_constant   (48 words)

 Euler-Mascheroni constant - Wikipedia, the free encyclopedia In 1790 Italian mathematician Lorenzo Mascheroni introduced the notation γ for the constant, and attempted to extend Euler's calculation still further, to 32 decimal places, although subsequent calculations showed that he had made an error in the 20th decimal place. The Euler-Mascheroni constant is a mathematical constant, used mainly in number theory, and is defined as the limiting difference between the harmonic series and the natural logarithm: Euler used the notation C for the constant, and initially calculated its value to 6 decimal places. en.wikipedia.org /wiki/Euler-Mascheroni_constant   (364 words)

 The Ultimate Gamma Dog Breeds Information Guide and Reference The propagation constant of an electromagnetic wave (in electrical engineering and electromagnetic theory). Letters that arose from Gamma are the Roman C and G and the Cyrillic letter Ghe. The adiabatic index of a gas in physics. www.dogluvers.com /dog_breeds/Gamma   (224 words)

 The Mathematica Book Online: Advanced Mathematics in Mathematica Mathematical Functions It is sometimes known as the Euler-Mascheroni constant, and denoted Euler's constant EulerGamma is given by the limit Khinchin's constant Khinchin (sometimes called Khintchine's constant) is given by documents.wolfram.com /mathematica/book/section-3.2.9   (110 words)

 Talk:Euler-Mascheroni constant - Wikipedia, the free encyclopedia However, if you prove it is transcendental it will probably be named AFTER you, like Apery's constant. Whether its irrational is probably a more "answerable" question and is what most people are gunning for. Is there a name for the conjecture that γ is transcendental? en.wikipedia.org /wiki/Talk:Euler-Mascheroni_constant   (103 words)

 HotLaunch™ - Search Engine Euler-Mascheroni Constant - g - Describes the mathematics behind this constant. Apéry's Constant - Describes the definition of the constant and some interpretations as well as a list of references to further work about the constant. Catalan's Constant - G - Describes the mathematics behind the constant. www.hotlaunch.com /scat.asp?ID=Science/Math/Recreations/Specific_Numbers   (738 words)

 Math Games: Approximations Almost Integer, Apéry's Constant Approximations, Catalan's Constant Approximations, Convergent, Euler-Mascheroni Constant Approximations, e Approximations, Feigenbaum Constant Approximations, Hypersphere Packings, j-Function, Khinchin's Constant Approximations, Leech Lattice, Monster group, Pi Approximations, Pisot numbers, Polynomial Roots, Ramanujan Constant, Riemann Zeta function. For almost all numbers, the geometric mean of the continued fraction approaches Khinchin's constant. More of the mathematics involved can be seen through the j-Function, the Ramanujan Constant, and the Pisot numbers. www.maa.org /editorial/mathgames/mathgames_02_14_05.html   (854 words)

 TCAEP.co.uk :: Science-Constants-Euler's Constant So far Euler's constant has been calculated to more than a million decimal places, although it is still not known if it is transcendental or even irrational. It has been proven that if it is rational then its denominator is not smaller than 10 www.scenta.co.uk /tcaep/nonxml/science/constant/print/peulersconst.htm   (44 words)

 Earliest Known Uses of Some of the Words of Mathematics (E) See the entry on the Euler-Mascheroni constant on the Earliest Uses of Symbols for Constants for references to the writings of Euler and Mascheroni. Euler's constant appears in 1868 in the title "On the Calculation of the Numerical Value of Euler's Constant, Which Professor Price, of Oxford, Calls E," Proc. EULER'S NUMBERS (for the coefficients of a series for the secant function) were so named by H. Scherk in 1825 in Vier mathematische Abhandlungen (Cajori vol. members.aol.com /jeff570/e.html   (8306 words)

 PlanetMath: Euler's constant This is version 6 of Euler's constant, born on 2002-02-10, modified 2003-02-07. It is related to the gamma function by planetmath.org /encyclopedia/EulersConstant.html   (44 words)

 Euler's Constant and the Quadibloc S-Boxes Euler's constant is defined as the limit, as n tends to infinity, of the sum of 1 + 1/2 + 1/3 +... Euler's constant is more difficult to calculate than the square root of 2, e, or pi, and it is less well understood. illustrates a way in which it is possible to derive a formula for Euler's constant that would only involve calculating the natural logarithm of 2. www.quadibloc.com /crypto/co4711.htm   (593 words)

 Euler's constant - a Whatis.com definition - see also: gamma Euler's constant, sometimes called gamma or the Euler-Mascheroni constant, has the mathematical value of.577215664901532860606512090082...(like pi, this constant is an unresolvably long number). Euler's constant is not as well-known as pi or e, but it is nevertheless significant, especially in number theory and in certain engineering-related formulas and calculations. Euler's constant (gamma) is defined as the limit of the expression (1 + 1/2 + 1/3 + 1/4 +... whatis.techtarget.com /definition/0,,sid9_gci859531,00.html   (185 words)

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