Radius of Convergence

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radius of convergence [′rād·ē·əs əv kən′vər·jəns]

(mathematics)

The positive real number corresponding to a power series expansion about some numberawith the property that ifx-ahas absolute value less than this number the power series converges atx, and ifx-ahas absolute value greater than this number the power series diverges atx.

Radius of Convergence

The radius of convergence of a power series is the radius of the circle of convergence. In other words, it is the number r such that the power series

converges when ǀzǀ > r and diverges when ǀzǀ > r.

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No references found			The following lemma is classical: Lemma 1 Let [rho] be the radius of convergence of y(z). The height of random binary unlabelled trees by Broutin, Nicolas; Flajolet, Philippe / DMTCS Proceedings ij] has the radius of convergence greater than or equal to r > 0: Then we define the matrix [e. Observability of a class of linear dynamic infinite systems on time ... by Mozyrska, Dorota; Bartosiewicz, Zbigniew / Proceedings of the Estonian Academy of Science Physics/Mathematics n]; as we are going to see, [rho] is the radius of convergence of C(x). Degree distribution in random planar graphs by Drmota, Michael; Gimenez, Omer; Noy, Marc / DMTCS Proceedings			Radishchev, Aleksandr Nikolaevich Radishchev, Aleksandr Nikolayevich Radishchev, Viacheslav Radishchev, Viacheslav Petrovich Radisson, Pierre Esprit radist Raditch, Stefan Radium radium age radium bromide radium carbonate radium cell radium chloride radium emanation radium F radium needle radium plaque radium sulfate radium therapy radius radius brick radius cutter radius diffusion radius gauge radius of action Radius of Convergence radius of curvature radius of damage radius of geodesic curvature radius of geodesic torsion Radius of Gyration radius of normal curvature radius of protection radius of rupture radius of safety radius of torsion radius of total curvature radius of visibility radius ratio radius rod radius shoe radius tool Radius Vector radius wall radix radix approximation radix complement radix fraction radix notation radix point radix transformation			radius radius Radius (geometry) Radius (geometry) Radius (geometry) Radius (geometry) Radius bar radius brick radius brick radius clause radius curvus syndrome radius curvus syndrome radius curvus syndrome radius curvus syndrome radius cutter radius diffusion radius fixus radius fixus radius fixus radius fixus Radius gauge Radius gauges Radius guages Radius nerve Radius nerve Radius nerve radius of action radius of action radius of action Radius of Arab American Writers, Inc. Radius of Convergence radius of curvature radius of curvature radius of curvature radius of damage radius of damage radius of damage Radius of Dynamics Sphere radius of geodesic curvature radius of geodesic torsion Radius of gyration Radius of gyration Radius of gyration Radius of Gyration or Rmsd Radius of Hearing Radius Of Influence radius of integration Radius of maximum wind radius of normal curvature radius of protection Radius of Reference radius of rupture radius of safety radius of safety radius of torsion radius of total curvature Radius Of Uncertainty radius of visibility Radius of Vulnerability radius ratio Radius rod

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