Sentence examples for for intermediate times from inspiring English sources

In the case of different initial reactant concentrations for which, in the absence of convection, the RD front propagates towards the side of the less concentrated reactant, the introduction of buoyancy convection not only invalidates the long time RD scalings but can lead to a double reversal in the direction of propagation of the reaction front for intermediate times.

For the mixed initial and boundary value problem posed in a bounded domain of with homogeneous Dirichlet condition, we prove weak, intrinsic, and elliptic Harnack inequalities for intermediate times.

These provide the estimates (hat{s}_{t}=beta _{s}left( Bright) Z_{t},;hat{ p}_{t}=beta _{p}left( Bright) Z_{t},;hat{u}_{t}=beta _{u}left( Bright) Z_{t}) and (widehat{sa_{t}}=left( 1-beta _{s}left( Bright) right) Z_{t}) from bi-infinite data, and also for intermediate times (3le tle n-2) from (nge 3) observations.

As can be observed in Figure 3, we obtain a quantitative agreement not just for short times t = O ( 1 / U ), but also for intermediate times t = O ( 10 / U ) in one dimension and t = O ( 30 / U ) in two dimensions.

Applying the fragment loss model to ordered independent loss data also results in an overestimation for intermediate times.

Time estimation for the fragment loss model is more noisy and a slight overestimation can occur for intermediate times that may be related to the underestimation of ρ for these parameter settings.

5.1 for the intermediate times between the first and last years, (q+1le tle n-q).

For the intermediate times (q+1le tle n-q), the noise component estimate (hat{N}_{t} )is given by the symmetric filter begin{aligned} hat{N}_{t}=frac{1}{left( 1+Phi right) ^{2}}left{ -Phi Z_{t-q}+left( 1+Phi ^{2}right) Z_{t}-Phi Z_{t+q}right}.

Under the fragment loss model, ρ for the intermediate times are underestimated.

Having found that the neglect of three-point correlations yields quantitative agreement for short and intermediate times and reproduces qualitative features for longer time scales, we now apply the same method to larger lattices for long times (which are hardly reachable by other methods).

However, in view of the agreement observed above and since the three-point correlators in large lattices are presumably comparable to those in Figure 1, we expect that this procedure again yields quantitative agreement for short and intermediate times and reproduces qualitative features for longer time scales.