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asymptotic formula

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
Since [mathematical expression not reproducible], we have the following asymptotic formula [mathematical expression not reproducible].
The number of orientable small covers over a product of simplices
For (5), the following asymptotic formula for [lambda]([alpha]) as [alpha] [right arrow] [infinity] has been obtained.
Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion
In section 3, asymptotic formula of eigenvalues of the problem (1.1), (1.2) is examined.
INVERSE PROBLEM FOR A CLASS OF DIRAC OPERATORS BY THE WEYL FUNCTION
We now present the Voronovskaja type asymptotic formula.
Approximation of Durrmeyer Type Operators Depending on Certain Parameters
According to (22), consider the following asymptotic formula:
New Integrals Arising in the Samara-Valencia Heat Transfer Model in Grinding
Asymptotic Formula of the Errors for the Reconstruction of
Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients
In particular, the new asymptotic formula (4.6) is deduced.
A Pair of Perfectly Conducting Disks in an External Field
Thus I ended up taking plain and solid geometry and trigonometry in the one school year, in the latter half of which we dealt with asymptotic curves and the asymptotic formula. About all I can remember about asymptotic curves is that the curve, even though it stretches out into infinity, can never actually meet the straight line.
The asymptotic principle
Performance estimation using the exact asymptotic formula show that the manner of geometric space partition has significant influence on quantizer designing based on the PDF discretization.
The influence of probability density function discretization on geometric lattice quantizer design for memoryless gaussian source
Our goal is to find such a high-frequency asymptotic formula for the current that takes into account the rate of elongation of the body.
The currents induced by a high-frequency wave incident at a small angle to the axis of strongly elongated spheroid
Notice however that the same filtration by truncations at order k may also be defined when [LAMBDA] is analytic: in this case, it is not difficult to prove that we obtain the correct asymptotic formula when taking the limit as k tends to infinity, i.e.
Some simple varieties of trees arising in permutation analysis
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