• Thumbnail for Carl Runge
    Carl David Tolmé Runge (German: [ˈʁʊŋə]; 30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist. He was co-developer...
    7 KB (534 words) - 09:42, 20 August 2024
  • Thumbnail for Runge–Kutta methods
    mathematicians Carl Runge and Wilhelm Kutta. The most widely known member of the Runge–Kutta family is generally referred to as "RK4", the "classic Runge–Kutta...
    45 KB (7,387 words) - 09:12, 11 October 2024
  • Laplace–Runge–Lenz vector is named after Pierre-Simon de Laplace, Carl Runge and Wilhelm Lenz. It is also known as the Laplace vector, the Runge–Lenz vector...
    79 KB (10,210 words) - 15:38, 27 October 2024
  • Thumbnail for Runge's phenomenon
    a set of equispaced interpolation points. It was discovered by Carl David Tolmé Runge (1901) when exploring the behavior of errors when using polynomial...
    13 KB (1,999 words) - 08:16, 20 August 2024
  • Thumbnail for Max Born
    attended a seminar conducted by Klein and professors of applied mathematics, Carl Runge and Ludwig Prandtl, on the subject of elasticity. Although not particularly...
    64 KB (7,371 words) - 20:11, 3 November 2024
  • Thumbnail for Runge's theorem
    complex analysis, Runge's theorem (also known as Runge's approximation theorem) is named after the German mathematician Carl Runge who first proved it...
    6 KB (889 words) - 08:42, 27 July 2024
  • and politician August H. Runge (1852–1921), American Fire Marshal Brian Runge (born 1970), American baseball umpire Carl Runge (1856–1927), German physicist...
    1 KB (173 words) - 13:24, 8 November 2022
  • 176 and 192.6 nanometres. The bands are named for Victor Schumann and Carl Runge. Triplet oxygen Atmospheric chemistry Guy P. Brasseur; Susan Solomon (15...
    1 KB (139 words) - 04:18, 13 August 2023
  • developing radar systems in Germany. Wilhelm Runge was born and raised in Hanover, where his father, Carl Runge, was a well-known professor of mathematics...
    10 KB (1,221 words) - 07:45, 31 October 2024
  • Thumbnail for Numerical methods for ordinary differential equations
    Bashforth. 1895 - Carl Runge publishes the first Runge–Kutta method. 1901 - Martin Kutta describes the popular fourth-order Runge–Kutta method. 1910...
    28 KB (3,919 words) - 15:32, 12 June 2024
  • Thumbnail for Philipp Otto Runge
    Philipp Otto Runge (German: [ˈʁʊŋə]; 1777–1810) was a German artist, draftsman, painter, and color theorist. Runge and Caspar David Friedrich are often...
    21 KB (2,608 words) - 17:45, 2 October 2024
  • Cantor, Felix Klein, Walther von Dyck, David Hilbert, Hermann Minkowski, Carl Runge, Rudolf Sturm, Hermann Schubert, and Heinrich Weber. The current president...
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  • Thumbnail for Karl Weierstrass
    have had an illegitimate child named Franz with the widow of his friend Carl Wilhelm Borchardt. After 1850 Weierstrass suffered from a long period of...
    16 KB (1,633 words) - 13:13, 21 October 2024
  • physicist. Iris Runge was the eldest of six children of mathematician Carl Runge. She started studying physics, mathematics, and geography at the University...
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  • Thumbnail for One-step method
    Carl Runge, Karl Heun and Wilhelm Kutta developed significant improvements to Euler's method around 1900. These gave rise to the large group of Runge-Kutta...
    46 KB (7,395 words) - 19:33, 23 September 2024
  • Thumbnail for Kepler's laws of planetary motion
    the other laws do depend on the inverse square form of the attraction. Carl Runge and Wilhelm Lenz much later identified a symmetry principle in the phase...
    60 KB (8,839 words) - 04:22, 25 October 2024
  • Thumbnail for Absorption band
    bands between 176 and 192.6 nanometres (named for Victor Schumann and Carl Runge); the Herzberg bands between 240 and 260 nanometres (named after Gerhard...
    12 KB (1,428 words) - 13:35, 26 December 2023
  • Thumbnail for Richard Courant
    Courant married Nerina (Nina) Runge (1891–1991), a daughter of the Göttingen professor for Applied Mathematics, Carl Runge (of Runge–Kutta fame). Richard and...
    17 KB (1,476 words) - 16:50, 26 September 2024
  • Thumbnail for Heinrich Kayser
    spectrum. In 1881, Kayser coined the word "adsorption". Together with Carl Runge, he examined the spectra of chemical elements. In 1905, he wrote a paper...
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  • having appointed mathematicians like David Hilbert, Hermann Minkowski, Carl Runge, and Felix Klein, the great organiser of mathematics and physics in Göttingen...
    10 KB (1,087 words) - 17:34, 28 May 2024
  • Thumbnail for Felix Klein
    excellent students, including Adolf Hurwitz, Walther von Dyck, Karl Rohn, Carl Runge, Max Planck, Luigi Bianchi, and Gregorio Ricci-Curbastro. In 1875, Klein...
    31 KB (3,124 words) - 16:32, 2 October 2024
  • Thumbnail for Quintic function
    half of the 19th century, John Stuart Glashan, George Paxton Young, and Carl Runge gave such a parameterization: an irreducible quintic with rational coefficients...
    25 KB (4,164 words) - 18:53, 22 September 2024
  • Knowledge of the Infra-Red Emission Spectra of the Alkalies, Jena 1907. Carl Runge called this series the "new series". He predicted that the lines of potassium...
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  • for infinitely differentiable functions. One classical example, due to Carl Runge, is the function f(x) = 1 / (1 + x2) on the interval [−5, 5]. The interpolation...
    47 KB (9,011 words) - 13:28, 15 October 2024
  • Thumbnail for Heinz Hopf
    at the University of Göttingen, where David Hilbert, Richard Courant, Carl Runge, and Emmy Noether were working. While there he met Pavel Alexandrov and...
    11 KB (970 words) - 05:12, 25 July 2024
  • Thumbnail for James Franck
    mathematics, thanks to David Hilbert, Felix Klein, Hermann Minkowski and Carl Runge, but not so much for physics. This would change. As part of his price...
    37 KB (4,264 words) - 22:31, 18 September 2024
  • Thumbnail for Alfred Landé
    that Landé was to come in contact with including Hilbert, Edmund Landau, Carl Runge and Ludwig Prandtl (the noted aerodynamics theoreticist). Also Niels Bohr...
    10 KB (1,139 words) - 06:26, 14 January 2024
  • Laplace vector, Runge–Lenz vector, Lenz vector) – Pierre-Simon de Laplace, Carl Runge and Wilhelm Lenz Larmor frequency, precession, radius – Joseph Larmor...
    72 KB (6,834 words) - 09:36, 13 October 2024
  • Thumbnail for List of German inventions and discoveries
    theorem by Felix Bernstein and Ernst Schröder c. 1900: Runge–Kutta methods by Wilhelm Kutta and Carl Runge 1900s: Hilbert space by David Hilbert Early 20th...
    230 KB (19,850 words) - 02:48, 27 August 2024
  • Cohn (1854–1944) Marcel Brillouin (1854–1948) Max Margules (1856–1920) Carl Runge (1856–1927) Anatole Leduc (1856–1937) Aleksandr Lyapunov (1857–1918) Samuel...
    72 KB (7,959 words) - 02:53, 27 October 2024