# asymptotic formula

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## asymptotic formula

[ā‚sim′täd·ik ′fȯr·myə·lə]
(mathematics)
A statement of equality between two functions which is not a true equality but which means the ratio of the two functions approaches 1 as the variable approaches some value, usually infinity.
References in periodicals archive ?
The main ingredient of our approach to the asymptotic analysis of symmetric functions is the following integral formula.
A one-shot inpainting algorithm based on the topological asymptotic analysis.
e] we meet continuing it analytically inside the unit disc), and reduces the asymptotic analysis of [[PHI].
They cover historical developments and new progress in math calculations, computer techniques, finite element computer programs, and presentation of results of numerical computations, as well as discussion of asymptotic analysis of partial differential equations, the capacity of a system of closely placed bodies, and the total flux, energy, and capacity of the model.
For the asymptotic analysis it is necessary that the three indices m, k, l [member of] N tend to infinity along ray sequences {([m.
This identity will turn out to be fundamental for the asymptotic analysis of Schur-Weyl measures.
Two short communications look at quantum transport in carbon nanotubes, and asymptotic analysis of coagulation-fragmentation equations.
Asymptotic analysis is a useful mathematical tool which provides analytical insight and numerical information about the solutions of complicated problems in applied mathematics, engineering, physics and many other sciences, which require a mathematical framework for describing and modeling scientific problems.
The topics include data linkage dynamics with shedding, modeling proteolysis from mass spectrometry proteomic data, big-step operational semantics revisited, the asymptotic analysis of a semelparous species model, the logic of persistent intersection, and a computer scientist's guide to the regulation genome.
Lunev (aero-physics and space research, Moscow Institute of Physics and technology) uses analytically treatable examples, similarity laws and asymptotic analysis to explain the general patterns and features of typical flows and how real gas affects them, providing physics and aerospace students with applications for supersonic and subsonic flight.
This formula allows simple closed form expressions for a variety of distances as well as asymptotic analysis.
has written this textbook on asymptotic analysis and Borel summation for advanced students in mathematics and physics, and provides a unique perspective on these topics by analyzing ordinary differential equations near a generic irregular singular point.

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