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Cauchy's integral

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  • 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 holomorphic function defined on a disk is completely determined by its values on the boundary… …   Wikipedia

  • Cauchy's integral theorem — In mathematics, the Cauchy integral theorem in complex analysis, named after Augustin Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane. Essentially, it says that if two different paths… …   Wikipedia

  • Cauchy-Riemann equations — In mathematics, the Cauchy Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, are two partial differential equations which provide a necessary and sufficient condition for a differentiable… …   Wikipedia

  • Cauchy theorem — Several theorems are 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 theorem in real analysis, an extended form of the mean value… …   Wikipedia

  • Cauchy — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom.  Cette page d’homonymie répertorie des personnes (réelles ou fictives) partageant un même patronyme. Patronyme Augustin Louis Cauchy (1789 1857),… …   Wikipédia en Français

  • Cauchy's test — may refer to:* Cauchy s root test * Cauchy s condensation test * the integral test for convergence, sometimes known as the Maclaurin Cauchy test These topics are named after Augustin Louis Cauchy, a French mathematician.disambig …   Wikipedia

  • Cauchy distribution — Not to be confused with Lorenz curve. Cauchy–Lorentz Probability density function The purple curve is the standard Cauchy distribution Cumulative distribution function …   Wikipedia

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Integral impropia — En cálculo, una integral impropia es el límite de una integral definida cuando uno o ambos extremos del intervalo de integración se acercan a un número real específico, a ∞, o a −∞. Además una integral definida es impropia cuando la función… …   Wikipedia Español

  • Cauchy'scher Hauptwert — Dieser Artikel behandelt den Hauptwert in der Integralrechnung. Für die Bedeutung des Hauptwertes bei komplexen Logarithmen, siehe Logarithmus. Als cauchyschen Hauptwert (nach A. L. Cauchy) bezeichnet man im mathematischen Teilgebiet der Analysis …   Deutsch Wikipedia

  • Cauchy principal value — In mathematics, the Cauchy principal value of certain improper integrals, named after Augustin Louis Cauchy, is defined as either* the finite number::lim {varepsilon ightarrow 0+} left [int a^{b varepsilon} f(x),dx+int {b+varepsilon}^c f(x),dx… …   Wikipedia


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