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Remark 7: we note that the methods in [1 12] are not available for the estimate of bound for the solution of Equation 48.
Some attempts have been made to base the estimate of bound water based on polar residues, which are mostly exposed on the surface.
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By quantitatively estimating the fraction of bound complex, we found that the percentage of dimers formed did not change irrespective of the interacting partner, either the CpG or non CpG DNA (Figure 2b).
The obtained condition shows potential advantages over the existing ones since no useful item is ignored throughout the estimate of upper bound of the derivative of Lyapunov functional.
The calculated labelling stoichiometry was found to be approximately one MIANS molecule per one MsbA monomer, as estimated using the extinction coefficient of bound MIANS.
In recent years, quantification of uncertainties in hydrological modeling has received a surge of attention, and several methods have been developed to derive meaningful estimates of uncertainties bound on model predictions.
Since the characteristic equations for difference equations are closely related to some complex polynomials, the estimates of the bound for the moduli of various complex polynomial zeros have been investigated by many researchers (cf. e.g., [1 8] and references therein).
Instead of estimating the bound of each unknown function, we use the adaptive method to estimate the bound of the composite function which is composed of the unknown functions.
Another motivation of this paper is to apply the result (the solution of Problem 1) to estimate the lower bound of the bottom of the spectrum of Laplace-Beltrami operator (Delta _{g[u]}).
However, in this paper, we use inequalities in Lemma 2.2 to estimate the bound of a single integral and a double integral.
Let L be an estimate of the upper bound of possible scaffold length (e.g. an estimated upper bound of the length of the entire genome or the longest chromosome).
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CEO of Professional Science Editing for Scientists @ prosciediting.com