• Thumbnail for Euler's constant
    written as ln(x) or loge(x). Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase...
    70 KB (9,348 words) - 16:58, 22 November 2024
  • Thumbnail for E (mathematical constant)
    mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted γ {\displaystyle...
    53 KB (6,416 words) - 14:43, 11 November 2024
  • Thumbnail for Euler's identity
    Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e} is Euler's number...
    15 KB (1,962 words) - 18:01, 17 October 2024
  • Thumbnail for Euler's formula
    valid if x is a complex number, and is also called Euler's formula in this more general case. Euler's formula is ubiquitous in mathematics, physics, chemistry...
    26 KB (3,851 words) - 07:05, 26 September 2024
  • Thumbnail for List of topics named after Leonhard Euler
    1. Euler–Gompertz constant Euler's homogeneous function theorem – A homogeneous function is a linear combination of its partial derivatives Euler's infinite...
    15 KB (1,668 words) - 20:29, 22 November 2024
  • Thumbnail for Euler's totient function
    also referred to as Euler's totient function, the Euler totient, or Euler's totient. Jordan's totient is a generalization of Euler's. The cototient of n...
    44 KB (6,473 words) - 13:18, 17 October 2024
  • Thumbnail for Floor and ceiling functions
    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 =...
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  • Thumbnail for Leonhard Euler
    after Euler's death have recognised his importance in the field as shown by quotes attributed to many of them: Pierre-Simon Laplace expressed Euler's influence...
    103 KB (10,350 words) - 18:25, 22 November 2024
  • In mathematics, the Gompertz constant or Euler–Gompertz constant, denoted by δ {\displaystyle \delta } , appears in integral evaluations and as a value...
    5 KB (662 words) - 20:14, 20 November 2024
  • Exploring Euler's Constant. Princeton University Press. p. 64. ISBN 9780691141336. Steven Finch (2014). Errata and Addenda to Mathematical Constants (PDF)...
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  • 5 2 . {\displaystyle {\frac {1+{\sqrt {5}}}{2}}.} Euler's constant or the Euler–Mascheroni constant is defined as the limiting difference between the...
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  • Thumbnail for Riemann zeta function
    {1}{1-p^{-s}}}\cdots } Both sides of the Euler product formula converge for Re(s) > 1. The proof of Euler's identity uses only the formula for the geometric...
    71 KB (10,583 words) - 20:33, 18 November 2024
  • 1307/mmj/1339011525. ISSN 0026-2285. Lagarias, Jeffrey C. (2013-07-19). "Euler's constant: Euler's work and modern developments". Bulletin of the American Mathematical...
    58 KB (3,931 words) - 01:27, 20 November 2024
  • Thumbnail for Euler's Disk
    Euler's Disk, invented between 1987 and 1990 by Joseph Bendik, is a trademarked scientific educational toy. It is used to illustrate and study the dynamic...
    20 KB (3,000 words) - 11:57, 27 October 2024
  • Thumbnail for Number
    Retrieved 22 September 2024. Lagarias, Jeffrey C. (19 July 2013). "Euler's constant: Euler's work and modern developments". Bulletin of the American Mathematical...
    65 KB (8,278 words) - 14:51, 11 November 2024
  • Thumbnail for Euler method
    of: Euler's Method Media related to Euler method at Wikimedia Commons Euler method implementations in different languages by Rosetta Code "Euler method"...
    27 KB (4,955 words) - 18:01, 15 November 2024
  • Thumbnail for Euler equations (fluid dynamics)
    useful from a numerical point of view). The Euler equations first appeared in published form in Euler's article "Principes généraux du mouvement des...
    79 KB (13,178 words) - 05:32, 25 October 2024
  • 1968.0111. S2CID 123486171. Lagarias, Jeffrey C. (2013-07-19). "Euler's constant: Euler's work and modern developments". Bulletin of the American Mathematical...
    51 KB (6,722 words) - 14:57, 11 November 2024
  • constant Erdős–Borwein constant Euler–Mascheroni constant ( γ {\displaystyle \gamma } ) – Leonhard Euler and Lorenzo Mascheroni Euler's number ( e {\displaystyle...
    5 KB (500 words) - 23:13, 7 October 2024
  • Thumbnail for Stieltjes constants
    The constant γ 0 = γ = 0.577 … {\displaystyle \gamma _{0}=\gamma =0.577\dots } is known as the Euler–Mascheroni constant. The Stieltjes constants are...
    33 KB (7,567 words) - 17:07, 19 July 2024
  • infinite series. Of course, Euler's original reasoning requires justification (100 years later, Karl Weierstrass proved that Euler's representation of the sine...
    44 KB (8,692 words) - 15:12, 11 November 2024
  • Thumbnail for List of Mersenne primes and perfect numbers
    than some given x is (eγ / log 2) × log log x, where e is Euler's number, γ is Euler's constant, and log is the natural logarithm. It is also not known...
    52 KB (3,111 words) - 11:13, 10 November 2024
  • these into the Euler–Lagrange equation, we obtain d d x y ′ ( x ) 1 + ( y ′ ( x ) ) 2 = 0 y ′ ( x ) 1 + ( y ′ ( x ) ) 2 = C = constant ⇒ y ′ ( x ) = C...
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  • Martini–Henry cartridge The first three digits in the decimal expansion of Euler's constant, .5772156649... This disambiguation page lists articles associated...
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  • Are Euler's constant γ {\displaystyle \gamma } and Catalan's constant G {\displaystyle G} irrational? Are they transcendental? Is Apéry's constant ζ (...
    190 KB (19,533 words) - 03:03, 21 November 2024
  • 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):...
    5 KB (756 words) - 05:04, 19 November 2024
  • Pi (redirect from Archimedes constant)
    =\pi } in Euler's formula results in Euler's identity, celebrated in mathematics due to it containing five important mathematical constants: e i π + 1...
    148 KB (17,584 words) - 14:55, 11 November 2024
  • a long history. The list of unsuccessful proposed proofs started with Euler's, published in 1740, although already in 1721 Bernoulli had implicitly assumed...
    34 KB (5,331 words) - 16:20, 9 July 2024
  • prime numbers are distributed. Euler's work in this area led to the development of the prime number theorem. Euler's great interest in number theory...
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  • 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...
    23 KB (3,496 words) - 20:28, 5 November 2024