In mathematics, Marden's theorem, named after Morris Marden but proved about 100 years earlier by Jörg Siebeck, gives a geometric relationship between...
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_{j=1}^{n}|z-a_{j}|^{-2}}}a_{i}} Marden's theorem Bôcher's theorem Sendov's conjecture Routh–Hurwitz theorem Hurwitz's theorem (complex analysis) Descartes'...
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Complex number (section Fundamental theorem of algebra)
triangle's Steiner inellipse can be found as follows, according to Marden's theorem: Denote the triangle's vertices in the complex plane as a = xA + yAi...
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West Sussex Marden Park, Surrey Marden (surname) Marden's theorem, in complex geometry River Marden, Wiltshire, England Marsden (disambiguation) Madsen...
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theorem (complex analysis) Marden's theorem Nyquist stability criterion Pole–zero plot Residue (complex analysis) Rouché's theorem Sendov's conjecture Conway...
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interior to the triangle and tangent at the midpoints of the sides. Marden's theorem shows how to find the foci of this ellipse. This ellipse has the greatest...
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{a^{4}+b^{4}+c^{4}-a^{2}b^{2}-b^{2}c^{2}-c^{2}a^{2}}}.} According to Marden's theorem, if the three vertices of the triangle are the complex zeros of a cubic...
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Hölder discovered it independently, and published it in 1889. Marden's theorem. This theorem relating the location of the zeros of a complex cubic polynomial...
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scaled fundamental solution for the Laplacian in that domain. Marden's theorem Marden, Morris (1951-05-01). "Book Review: The location of critical points...
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function f ( x ) = ‖ x ‖ 2 − 1 {\displaystyle f(x)=\Vert x\Vert ^{2}-1} . Marden's theorem Root-finding algorithm Sendov's conjecture Vanish at infinity Zero...
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Function under the supervision of Joseph L. Walsh. He is known for the Marden's theorem, which was proven by Jörg Siebeck.[failed verification] His publications...
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complex conjugates, appear symmetrically above and below the real axis.) Marden's theorem says that the points representing the roots of the derivative of the...
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rule of signs – Counting polynomial real roots based on coefficients Marden's theorem – On zeros of derivatives of cubic polynomials Newton's identities –...
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theorem (complex analysis) Manin–Drinfeld theorem (number theory) Mann's theorem (number theory) Marcinkiewicz theorem (functional analysis) Marden's...
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JSTOR 1971059, MR 0349992, Zbl 0282.30014 Canary, Richard D. (2010). "Marden's Tameness Conjecture: history and applications". arXiv:1008.0118 [math.GT]...
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and hence unique. The theorem was proven for closed manifolds by Mostow (1968) and extended to finite volume manifolds by Marden (1974) in 3 dimensions...
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homeomorphic to the interior of a compact 3-manifold. The tameness theorem was conjectured by Marden (1974). It was proved by Agol (2004) and, independently, by...
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S2CID 126002045. Kalman, Dan (April 2008). "An Elementary Proof of Marden's Theorem" (PDF). American Mathematical Monthly. 115 (4): 330–338. doi:10.1080/00029890...
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In mathematics, Cohn's theorem states that a nth-degree self-inversive polynomial p ( z ) {\displaystyle p(z)} has as many roots in the open unit disk...
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homeomorphic to the interior of a compact 3-manifold. The tameness theorem was conjectured by Marden. It was proved by Agol and, independently, by Danny Calegari...
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Epstein & Marden (1987). Weeks (1993). Rousseeuw, Ruts & Tukey (1999). Harris (1971). Pulleyblank (1983); see especially remarks following Theorem 2.9. Katoh...
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In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order...
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Ahlfors measure conjecture (category Theorems in analysis)
Kleinian group is geometrically tame, so the Ahlfors conjecture follows from Marden's tameness conjecture that hyperbolic 3-manifolds with finitely generated...
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Ahlfors measure conjecture Density theorem for Kleinian groups Ending lamination theorem Tameness theorem (Marden's conjecture) Bers, Lipman (1970), "On...
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contributions to abstract algebra. She proved Noether's first and second theorems, which are fundamental in mathematical physics. She was described by Pavel...
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In hyperbolic geometry, the ending lamination theorem, originally conjectured by William Thurston (1982), states that hyperbolic 3-manifolds with finitely...
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results related to Mostow's theorem on rigidity Chapter 6 describes Gromov's invariant and his proof of Mostow's theorem. Chapter 7 (by Milnor) describes...
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first proof of this conjecture, now known as the Denjoy–Carleman–Ahlfors theorem. It states that the number of asymptotic values approached by an entire...
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1090/S0002-9939-1952-0047828-8. ISSN 0002-9939. Pless 1990, pg. 75, Theorem 48 Pless 1990, pg. 77, Theorem 51 Pless, Vera (1990), Introduction to the Theory of Error...
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distance no more than 1 from at least one critical point. The Gauss–Lucas theorem says that all of the critical points lie within the convex hull of the...
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