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 ?
Coffey, An effective asymptotic formula for the Stieltjes constants, Math.
It is worth noting, on the one hand, that Jaeger omits the derivation of the asymptotic formula (1), being this given in dimensionless form.
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.
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.
The proof of the first asymptotic formula for the totient function can be found for example in [21]:
In [7], by using the properties of Dedekind sum and Cochrane sum, a sharp asymptotic formula was given as follows
It should be mentioned, however, that the underlying asymptotic formula (see eqn (2.

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