radius of convergence

radius of convergence
радиус сходимости

Англо-русский словарь технических терминов. 2005.

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  • Radius of convergence — In mathematics, the radius of convergence of a power series is a quantity, either a non negative real number or ∞, that represents a domain (within the radius) in which the series will converge. Within the radius of convergence, a power series… …   Wikipedia

  • radius of convergence — Math. a positive number so related to a given power series that the power series converges for every number whose absolute value is less than this particular number. * * * …   Universalium

  • radius of convergence — Math. a positive number so related to a given power series that the power series converges for every number whose absolute value is less than this particular number …   Useful english dictionary

  • Radius — For other uses, see Radius (disambiguation). Circle illustration In classical geometry, a radius of a circle or sphere is any line segment from its center to its perimeter. By extension, the radius of a circle or sphere is the length of any such… …   Wikipedia

  • Convergence problem — In the analytic theory of continued fractions, the convergence problem is the determination of conditions on the partial numerators ai and partial denominators bi that are sufficient to guarantee the convergence of the continued fraction This… …   Wikipedia

  • Convergence of random variables — In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to …   Wikipedia

  • Radius of curvature (applications) — The distance from the center of a sphere or ellipsoid to its surface is its radius. The equivalent surface radius that is described by radial distances at points along the body s surface is its radius of curvature (more formally, the radius of… …   Wikipedia

  • radius — Synonyms and related words: O, air line, ambit, amplitude, annular muscle, annulus, approach, area, areola, asymptote, aureole, axis, beeline, bigness, body, bore, bottleneck, breadth, bulk, caliber, carry, chaplet, chord, circle, circuit,… …   Moby Thesaurus

  • Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… …   Wikipedia

  • Spectral radius — In mathematics, the spectral radius of a matrix or a bounded linear operator is the supremum among the absolute values of the elements in its spectrum, which is sometimes denoted by rho;( middot;).pectral radius of a matrixLet lambda;1, hellip;,… …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium


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