• 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 (5,414 words) - 07:05, 6 May 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
  • inequalities in mathematics. The inequality for sums was published by Augustin-Louis Cauchy (1821). The corresponding inequality for integrals was published...
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  • 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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  • 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 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 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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 non-negative...
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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 stress tensor
    continuum mechanics, the Cauchy stress tensor (symbol σ {\displaystyle {\boldsymbol {\sigma }}} , named after Augustin-Louis Cauchy), also called true stress...
    57 KB (8,309 words) - 20:58, 25 February 2024
  • 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 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 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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  • 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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  • mathematics, the Cauchy–Hadamard theorem is a result in complex analysis named after the French mathematicians Augustin Louis Cauchy and Jacques Hadamard...
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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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  • 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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  • continuum) rather than as discrete particles. The French mathematician Augustin-Louis Cauchy was the first to formulate such models in the 19th century. Continuum...
    47 KB (7,427 words) - 04:56, 25 May 2024
  • 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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  • Cauchy's limit theorem, named after the French mathematician Augustin-Louis Cauchy, describes a property of converging sequences. It states that for a...
    4 KB (785 words) - 21:33, 7 March 2024