Sentence examples for by comparing the approximation from inspiring English sources

Its validity is verified by comparing the approximation series with the known exact solution.

By comparing the approximation performance among these six typical fitting methods, it reveals the reason for the 90% intercept over-estimation phenomenon of Francisco J.

However, from a practical perspective, experiments indicate that the difference in fault probabilities in the second cache obtained by comparing the independent reference model approximation and the actual miss stream is not large, although measurable.

Petry (1983) obtained this approximation by comparing the moments of the stationary allele-frequency distribution for the two-locus model to those for the one-locus model.

We also validate our system approximations by comparing the derived CDP and CBP values obtained from global balance equations and the CDP and CBP values obtained from simulation of the original mixed loss-queueing model.

The validity range of the approximations is assessed by comparing the analytical modal analysis with a numerical solution.

The validity of the reliability approximation is checked by comparing the results to those derived through direct Monte Carlo simulation of the nonlinear model.

We further investigate the edge effects in the data set by comparing the exact P-values obtained under the single sequence approximation.

However, an approximation of the experimental error can be obtained by comparing the expressions of two libraries that show a strong correlation.

This can be shown either by comparing the path integral representations of the generating functional for both stochastic processes or by comparing the WKB approximation of the master equation and corresponding Fokker-Planck equation.

For this purpose, we compare the approximation of G given by (6) with the 'exact' formula (3).