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.
References in periodicals archive ?
Since [mathematical expression not reproducible], we have the following asymptotic formula [mathematical expression not reproducible].
For (5), the following asymptotic formula for [lambda]([alpha]) as [alpha] [right arrow] [infinity] has been obtained.
In section 3, asymptotic formula of eigenvalues of the problem (1.1), (1.2) is examined.
We now present the Voronovskaja type asymptotic formula.
According to (22), consider the following asymptotic formula:
+It is worth noting, on the one hand, that Jaeger omits the derivation of the asymptotic formula (1), being this given in dimensionless form.
In particular, the new asymptotic formula (4.6) is deduced.
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.
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.
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.
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.

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