Sentence examples for while the approximation from inspiring English sources

The stochastic trajectories were approximated using Euler Maruyama scheme (Picchini 2007) while the approximation of mean values is done using Monte Carlo simulations.

While the approximation of the ρ e employed in this model lacks the experimental accuracy achieved for ρ e measurements afforded by VCM, the ISDD model does allow for time-resolved approximation of NP transport parameters within unstable dispersions.

Domain decomposition is strictly dictated by the adequate representation of geometry and thermo-physical properties, while the approximation of the state variables in each finite element is mainly constrained to adequately simulate the thermal response of the system.

From Figure 2, we can see that, while the approximation used to derive equation (10) introduces an error in relative to the actual change in g computed from direct simulation of trajectories with E + I − 2 E I ≥ 0, the error appears to be small and the monotonicity of δ ( g ) appears to be correct.

Assuming that the resampling procedure in the second step above (termed island-level resampling in [13]) is performed, in the average, once every L time steps, then the running time for this algorithm is {mathcal T}(M,N,L) = frac{L-1}{L} N + frac{1}{L} MN = frac{N}{L}(M+L-1), while the approximation error is ({mathcal R}(M,N) = frac {1}{MN}) (see ([13] Theorem 5)).

While the approximation of exponential growth is no doubt imperfect, perfectly size-symmetric competition [19] in which the size hierarchy does not change throughout the growth period [19], [20], [21] would also preserve any initial size hierarchy due to seed size differences.

The gap between the simulated and theoretical users is more for larger number of users while the approximations are close for vice versa.

Although approximate solutions exist which are not restricted to the case of a single damper, these are only accurate when the difference between the undamped and constrained eigensolution is sufficiently small, while the approximations obtained in the present paper are accurate in a broader range without losing simplicity.

While the approximations are rather close to perfection for sequences with more than 2 000 amino-acids, the smaller the sequence is, the worse the approximations get.

While the approximations used in the models will clearly, to some degree, capture the essence of spatial proximity, they are yet to be assessed for their accuracy in this respect.

A multiresolution strategy allows local grid refinement while controlling the approximation error in space.