Sentence examples for decay of the difference from inspiring English sources

We estimate the rate of decay of the difference between a solution and its limiting equilibrium for the following abstract second order problemu¨(t)+g u˙(t))+M u(t))= 0,t∈R+, where M is the gradient operator of a non-negative functional and g is a non-linear damping operator, under some conditions relating the Łojasiewicz exponent of the functional and the growth of the damping around the origin.

Finally, from the estimates of the wave equation with damping in [20] and using the idea of [16], we show the optimal algebraical decay rates of the total perturbed density φ1 + φ2, which together with the exponential decay rate of the difference of two perturbed densities, yields the optimal decay rate.

Best fitting of exponential decay of the temperature difference TCNT - Tw is achieved by choosing τd = 41 ps.

Re-binding of carbon monoxide from the solvent to the heme iron of myoglobin results in the decay of the negative difference band over time (Fig.  4b).

Therefore to show that the gap is not caused by genetic drift, it is not proper to use 1/3 as the probability of a TE being in the gap region due to genetic drift, as this does not take into account the null hypothesis of genetic drift (the probability decay wrt size of the difference).

Half-life (t1/2) was calculated as the time required for 50% decay of the mean fluorescence difference in the mobile fraction.

These authors found that the decay of the amide I difference band exhibited faster second-order kinetics than the recovery of CO.

A theoretical prediction is presented of the spatial and ensemble variance of the curvature of reverberant decays when the curvature is defined in terms of the difference between the decay rates of two different sections of the decay record.

Twinning area fraction and dislocation density are higher at the impact surface region than at the back surface due to decay of the elastic precursor and the difference in loading duration.

The fast initial decay and influence of the differences in coordination for ions at the surface on the luminescence and decay behavior will be discussed in a next paper.

The difference between the decay kinetics of the different nanoparticles (ANOVA, p ≤ 0.05) could be explained by the presence of rutin nanocrystals adsorbed on the surface of the nanodroplets of nanoemulsions (as observed by TEM Fig. 1), making rutin more readily accessible to react with the ·OH free radical.