• Thumbnail for Augustin-Louis Cauchy
    Baron Augustin-Louis Cauchy FRS FRSE (UK: /ˈkoʊʃi/ KOH-shee, /ˈkaʊʃi / KOW-shee, US: /koʊˈʃiː / koh-SHEE; French: [oɡystɛ̃ lwi koʃi]; 21 August 1789 –...
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  • 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...
    692 bytes (106 words) - 06:08, 19 November 2024
  • Thumbnail for Cauchy distribution
    The Cauchy distribution, named after Augustin-Louis Cauchy, is a continuous probability distribution. It is also known, especially among physicists, as...
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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...
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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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 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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  • 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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  • 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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  • 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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  • 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–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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  • 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 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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  • In mathematics, the Cauchy condensation test, named after Augustin-Louis Cauchy, is a standard convergence test for infinite series. For a non-increasing...
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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 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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  • 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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  • 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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  • 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 Cauchy's theorem (group theory)
    xp = e, where e is the identity element of G. It is named after Augustin-Louis Cauchy, who discovered it in 1845. The theorem is a partial converse to...
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  • Cauchy's limit theorem, named after the French mathematician Augustin-Louis Cauchy, describes a property of converging sequences. It states that for a...
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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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  • by Augustin-Louis Cauchy who published it in his textbook Cours d'analyse (1821). Thus, it is sometimes known as the Cauchy root test or Cauchy's radical...
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