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three circle theorem

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  • Hadamard three-circle theorem — In complex analysis, a branch of mathematics, the Hadamard three circle theorem is a result about the behavior of holomorphic functions.Let f(z) be a holomorphic function on the annulus :r 1leqleft| z ight| leq r 3. Let M(r) be the maximum of… …   Wikipedia

  • Gershgorin circle theorem — In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Belarusian mathematician Semyon Aranovich Gershgorin in 1931. The spelling of S. A. Gershgorin s name has been… …   Wikipedia

  • List of circle topics — This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include metaphors like inner circle or circular reasoning in… …   Wikipedia

  • Hardy's theorem — In mathematics, Hardy s theorem is a result in complex analysis describing the behavior of holomorphic functions. Let f be a holomorphic function on the open ball centered at zero and radius R in the complex plane, and assume that f is not a… …   Wikipedia

  • Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane …   Wikipedia

  • Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference …   Wikipedia

  • Circle of a sphere — Small circle of a sphere. B …   Wikipedia

  • Descartes' theorem — For other uses, see Descartes theorem (disambiguation). In geometry, Descartes theorem, named after René Descartes, establishes a relationship between four kissing, or mutually tangent, circles. The theorem can be used to construct a fourth… …   Wikipedia

  • Monge's theorem — In geometry, Monge s theorem, named after Gaspard Monge, states that for any three circles in a plane, none of which is inside one of the others, the three intersection points of the three pairs of external tangent lines are in fact collinear.… …   Wikipedia

  • Clifford's circle theorems — In geometry, Clifford s theorems, named after the English geometer William Kingdon Clifford, are a sequence of theorems relating to intersections of circles. The first theorem considers any four circles passing through a common point M. Four new… …   Wikipedia

  • Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… …   Wikipedia

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