asymptotic expansion

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asymptotic expansion [ā‚sim′täd·ik ik′span·shən]

(mathematics)

A series of the forma₀+ (a₁/x) + (a₂/x²) + · · · + (a_n/x_n) + · · · is an asymptotic expansion of the functionf(x) if there exists a numberNsuch that for alln≠Nthe quantityx_n[f(x) -S_n(x)] approaches zero asxapproaches infinity, whereS_n(x) is the sum of the firstnterms in the series. Also known as asymptotic series.

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No references found			The nature of contour L, a set of sufficient conditions for the convergence of this integral, the asymptotic expansion, some of its properties and special cases can be referred to in the book by Srivastava, Gupta and Goyal (15). On generalized order statistics from Kumaraswamy distribution by Garg, Mridula / Tamsui Oxford Journal of Mathematical Sciences First, we recall the principle of the topological asymptotic expansion (Masmoudi, 2001; Amstutz et al. Image segmentation: a watershed transformation algorithm by Belaid, Lamia Jaafar; Mourou, Walid / Image Analysis and Stereology Following a review of analytic function theory, they discuss special functions, eigenvalue problems and eigenfunction expansions, Green's functions for boundary-value problems, Laplace transform methods, Fourier transform methods, particular physical problems, and asymptotic expansion of integrals. Partial differential equations in fluid dynamics by SciTech Book News			asymmetric synthesis asymmetric system asymmetric top asymmetrical bedding asymmetrical cell asymmetrical conductivity asymmetrical deflection asymmetrical fold asymmetrical laccolith asymmetrical modem asymmetrical modulation asymmetrical ripple mark asymmetrical vein asymmetrical-sideband transmission asymmetry asymmetry effect Asymmetry in Art Asymmetry in Biology asymptote asymptote of convergence asymptotic cone of acceptance asymptotic curve asymptotic direction of arrival asymptotic directions asymptotic efficiency asymptotic expansion Asymptotic Expression asymptotic formula asymptotic freedom asymptotic giant branch asymptotic series asymptotic stability asymptotically flat asymptotically simple asynapsis asynchronous Asynchronous Balanced Mode Asynchronous Capacitor Motor Asynchronous Clutch asynchronous communications asynchronous communications adaptor Asynchronous Communications Interface Adapter Asynchronous Computer asynchronous control asynchronous data asynchronous device asynchronous digital subscriber loop Asynchronous Electric Machine asynchronous I/O asynchronous input/output asynchronous inputs			asymptote of convergence Asymptotes Asymptotes Asymptotes Asymptotes asymptotic asymptotic asymptotic asymptotic Asymptotic analysis Asymptotic analysis Asymptotic Bound Analysis Asymptotic Coding Gain asymptotic cone of acceptance Asymptotic Conical Dipole Asymptotic Corrugated Boundary Condition Asymptotic Cramer-Rao Asymptotic curve Asymptotic Diophantine Approximation Asymptotic direction asymptotic direction of arrival asymptotic directions Asymptotic Discrimination Loss Asymptotic Dispersion Rate Asymptotic Distorted Wave Asymptotic Distribution Free Asymptotic Effective Energy asymptotic efficiency Asymptotic Energy Analysis Asymptotic equipartition property asymptotic expansion Asymptotic expansions Asymptotic expression Asymptotic formula Asymptotic freedom Asymptotic giant branch Asymptotic giant branch Asymptotic Giant Branch star Asymptotic Giant Branch stars Asymptotic Global Confidence Region Asymptotic Green Function Approximation Asymptotic Growth Rate of Input-Output Weight Enumerator Asymptotic limit Asymptotic limit Asymptotic limit Asymptotic limit Asymptotic line Asymptotic Location Area Method Asymptotic Maximum Likelihood Sequence Detection Asymptotic Mean Acquisition Time Asymptotic Mean Integrated Squared Error Asymptotic Multi-User Efficiency Asymptotic Multi-User Error Probability Asymptotic Multiple Turbo Coding Asymptotic normality Asymptotic normality Asymptotic normality Asymptotic Optimal Boundary Asymptotic Phasefront Extraction Asymptotic Phasefront Extraction - Method of Moments Asymptotic Receiver Operating Characteristic

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