This approximation may safely be applied to atoms and free radicals present as reaction intermediates.
However, this approximation may introduce errors that are not negligible.
Here we focus on highly nonlinear dynamics, in which case this approximation may not be valid.
Using them, it is shown that the lubrication approximation may be applied to the elastic wall-squeezing problem for this gel.
Replacing the time-consuming FEA by neural network approximations may be a computationally efficient alternative, but the error in such approximation may misguide the optimization procedure.
Only under very limited circumstances is there no rotational discontinuity involved and thus the two component approximation may be used in the MHD Riemann problem.
The optically thin fluctuation approximation may be extended to large eddy simulations yielding predictions in excellent agreement with the reference solution.
Al Gore's intervention with Aetna Inc. to restore nursing care benefits to a 6-month-old baby born with severe brain damage suggests that divine intervention, or an approximation, may work to get managed care companies to act in a humane manner (news article, Feb. 29).
Readers Grieve, Crooked Pols Rejoice Early next month, this hypothetical headline, or a less florid approximation, may greet readers of Hudson County's last remaining daily newspaper, The Jersey Journal, which will either die on Feb. 1 or re-emerge as a much trimmer publication.
For the same experimental data of the galloping force, it is demonstrated that the choice of the coefficients of the polynomial approximation may result in a change in the type of bifurcation, the tip displacement and harvested power amplitudes.
The present paper also shows how the hoop stress approximation may lead to onerous results when the true wall axial stress is derived based on design code hoop stress formulations.
