The study focuses on theasymptoticproperties of equilibrium paths.From theCambridge English Corpus
Theasymptoticsolution (5.3) also be used to obtain expressions from (3.14)for can the fluctuating viscous stresses a t the wall.From theCambridge English Corpus
Moreover, in many cases, the rejection rates based on finite-sample critical values increase substantially, reflecting the convergence ofasymptoticand finite-sample critical values.From theCambridge English Corpus
For the other sum in the variance the more preciseasymptoticestimates (5.1) and (5.2) are required.From theCambridge English Corpus
Also, an interface appears for the minimal solutions, whoseasymptoticvelocity is c*.From theCambridge English Corpus
Note that the statistical theory developed in this paper depends crucially on the assumption that spectral density estimates have anasymptoticnormal distribution.From theCambridge English Corpus
The numerical integration is started at the singular point r = 0 by usingasymptoticexpression of the solutions.From theCambridge English Corpus
Our computations show that theasymptoticdrop shape consists of a compact, nearly spherical drop that encloses a spike of entrained ambient fluid.From theCambridge English Corpus
We now review some of the elementary notions of the method of matchedasymptoticexpansions in the context of expansions of mean velocity.From theCambridge English Corpus
Again far downstream from the leading edge, we expect anasymptoticbehaviour independent of streamwise distance.From theCambridge English Corpus
The concepts ofasymptoticand local invariances suggest that the flow structure sufficiently downstream from the origin should be universal.From theCambridge English Corpus
For streaming below a certain threshold we determined matchedasymptoticexpansions for the electric potential, ion number density and ion velocity.From theCambridge English Corpus
A homogenization algorithm is implemented, andasymptoticformulae are derived for the effective elastic moduli of the periodic structures.From theCambridge English Corpus
The empirical laws have not been interpreted asasymptoticlaws although some small systematic departures have been noted.From theCambridge English Corpus
Theasymptoticbehaviour far from the starting edge is examined and shown to involve only eigenfunction contributions associated with the far upstream flow.From theCambridge English Corpus
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