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Exact(13)
Now we derive an explicit estimate (12) of the exponential type.
To overcome this drawback, a reduced-rank multistage Wiener filter design was proposed in [6], which relaxes the requirement on explicit estimate of the signal subspace.
Under general conditions, an explicit estimate of (lambda_{0}) is given such that the problem possesses a solution for any (|lambda|
Our main tool is a proof of the isoperimetric inequality for symmetric domains which gives an explicit estimate for the isoperimetric deficit.
(1.12 Our explicit estimate for the constant C ( q, d ) is non-sharp, moreover, it blows up as q → 2 d / ( d - 2 ) however, it is sharp in the limit q → ∞.
Recently Pata in [14] introduced a fixed point theorem with weaker hypotheses than those of the Banach contraction principle with an explicit estimate of the convergence rate (see also [15]).
Similar(47)
Our main emphasis is on the explicit estimates obtained.
The following explicit estimates of Mittag-Leffler functions are useful in the sequel.
Theoretically, comparisons are made with several other recent works that gave wave number explicit estimates.
Along with explicit estimates we study the short-time asymptotics of the spectral gap.
Here, we derive spatially explicit estimates, and their uncertainty, of the distribution and stock of total P in Australian soil.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com