• Thumbnail for Augustin-Louis Cauchy
    Baron Augustin-Louis Cauchy FRS FRSE (UK: /kˈoʊʃi/ KOH-shee, /kˈaʊʃi / KOW-shee, US: /koʊʃˈiː / koh-SHEE, France: / ˈoɡystɛ̃ˈ  lwˈi  kˈoʃˈi /, OH-gus-TEY...
    42 KB (5,422 words) - 09:07, 25 July 2024
  • named after Augustin-Louis Cauchy. Cauchy theorem may mean: Cauchy's integral theorem in complex analysis, also Cauchy's integral formula Cauchy's mean value...
    659 bytes (103 words) - 13:34, 24 March 2023
  • Thumbnail for Cauchy distribution
    The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution. It is also known, especially among physicists, as the Lorentz...
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  • Thumbnail for Cauchy sequence
    less than that given distance from each other. Cauchy sequences are named after Augustin-Louis Cauchy; they may occasionally be known as fundamental sequences...
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  • vectors in Hilbert spaces). The inequality for sums was published by Augustin-Louis Cauchy (1821). The corresponding inequality for integrals was published...
    37 KB (5,177 words) - 23:08, 5 August 2024
  • the Cauchy product is the discrete convolution of two infinite series. It is named after the French mathematician Augustin-Louis Cauchy. The Cauchy product...
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  • after the prolific 19th-century French mathematical analyst Augustin-Louis Cauchy. Cauchy boundary conditions are simple and common in second-order ordinary...
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  • Thumbnail for Cauchy's integral theorem
    mathematics, the Cauchy integral theorem (also known as the Cauchy–Goursat theorem) in complex analysis, named after Augustin-Louis Cauchy (and Édouard Goursat)...
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  • geodesics. The concept is named after Augustin-Louis Cauchy. Under the averaged weak energy condition (AWEC), Cauchy horizons are inherently unstable. However...
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  • Thumbnail for Cauchy's equation
    Augustin-Louis Cauchy, who originally defined it in 1830 in his article "The refraction and reflection of light". The most general form of Cauchy's equation...
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  • In mathematics, the Cauchy principal value, named after Augustin-Louis Cauchy, is a method for assigning values to certain improper integrals which would...
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  • The Cauchy formula for repeated integration, named after Augustin-Louis Cauchy, allows one to compress n antiderivatives of a function into a single integral...
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  • In mathematics, a Cauchy matrix, named after Augustin-Louis Cauchy, is an m×n matrix with elements aij in the form a i j = 1 x i − y j ; x i − y j ≠ 0...
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  • Thumbnail for Cauchy's integral formula
    In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a...
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  • differential equations associated with Cauchy initial value problems. A special case was proven by Augustin Cauchy (1842), and the full result by Sofya...
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  • Augustin-Louis Cauchy include: Binet–Cauchy identity Bolzano–Cauchy theorem Cauchy's argument principle Cauchy–Binet formula Cauchy–Born rule Cauchy boundary...
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  • after Augustin-Louis Cauchy. For a partial differential equation defined on Rn+1 and a smooth manifold S ⊂ Rn+1 of dimension n (S is called the Cauchy surface)...
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  • terms in the series. This convergence criterion is named after Augustin-Louis Cauchy who published it in his textbook Cours d'Analyse 1821. A series...
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  • Thumbnail for Cauchy–Riemann equations
    the field of complex analysis in mathematics, the Cauchy–Riemann equations, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two...
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  • Thumbnail for Cauchy stress tensor
    continuum mechanics, the Cauchy stress tensor (symbol σ {\displaystyle {\boldsymbol {\sigma }}} , named after Augustin-Louis Cauchy), also called true stress...
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  • Louis François Cauchy (27 May 1760 – 28 December 1848) was a senior French government official and the father of the mathematician Augustin-Louis Cauchy...
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  • named after Émile Picard, Ernst Lindelöf, Rudolf Lipschitz and Augustin-Louis Cauchy. Let D ⊆ R × R n {\displaystyle D\subseteq \mathbb {R} \times \mathbb...
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  • Thumbnail for Mean value theorem
    mean value theorem in its modern form was stated and proved by Augustin Louis Cauchy in 1823. Many variations of this theorem have been proved since...
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  • Thumbnail for Integral test for convergence
    It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test. Consider an integer N and a function...
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  • Thumbnail for Cauchy (crater)
    Cauchy is a small lunar impact crater on the eastern Mare Tranquillitatis. It was named after French mathematician Augustin-Louis Cauchy. It is circular...
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  • mathematics, specifically linear algebra, the Cauchy–Binet formula, named after Augustin-Louis Cauchy and Jacques Philippe Marie Binet, is an identity...
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  • Thumbnail for Cours d'Analyse
    English) is a seminal textbook in infinitesimal calculus published by Augustin-Louis Cauchy in 1821. The article follows the translation by Bradley and Sandifer...
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  • Thumbnail for Residue theorem
    In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions...
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  • continuum) rather than as discrete particles. The French mathematician Augustin-Louis Cauchy was the first to formulate such models in the 19th century. Continuum...
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  • Thumbnail for Holomorphic function
    introduced in 1875 by Charles Briot and Jean-Claude Bouquet, two of Augustin-Louis Cauchy's students, and derives from the Greek ὅλος (hólos) meaning "whole"...
    23 KB (2,822 words) - 17:03, 24 July 2024