Cauchy theorem

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 theorem
*Cauchy's theorem (group theory)
*Cauchy's theorem (geometry) on rigidity of convex polytopes
*Cauchy-Kovalevskaya theorem concerning partial differential equations
*Cauchy-Peano theorem in the study of ordinary differential equations


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  • Cauchy-Theorem — Das Cauchy Theorem geht zurück auf den französischen Mathematiker Augustin Louis Cauchy und besagt, dass für jeden konvexen Körper der gemittelte Flächeninhalt seiner Parallelprojektionen in die Ebene stets ein Viertel seiner Oberfläche beträgt.… …   Deutsch Wikipedia

  • Cauchy's theorem (geometry) — Cauchy s theorem is a theorem in geometry, named after Augustin Cauchy. It states that convex polytopes with congruent corresponding faces are congruent. This is a foundational result in rigidity theory. tatementLet P, Q subset Bbb R^3 be… …   Wikipedia

  • Cauchy's theorem (group theory) — Cauchy s theorem is a theorem in the mathematics of group theory, named after Augustin Louis Cauchy. It states that if G is a finite group and p is a prime number dividing the order of G (the number of elements in G ), then G contains an element… …   Wikipedia

  • 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-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 product — In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences , , is the discrete convolution of the two sequences, the sequence whose general term is given by In other words, it is the sequence whose associated formal… …   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–Kowalevski theorem — In mathematics, the Cauchy–Kowalevski theorem is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. A special case was proved by harvs|authorlink=Augustin… …   Wikipedia

  • Cauchy sequence — In mathematics, a Cauchy sequence, named after Augustin Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses. To be more precise, by dropping enough (but still only a finite number of) terms from… …   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

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