The phrase "approximation by comparing the" is correct and usable in written English.
It can be used in contexts where you are discussing methods of estimating or evaluating something through comparison.
Example: "The approximation by comparing the two datasets revealed significant differences in the results."
Alternatives: "estimation through comparison" or "approximation via comparison".
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 of the reliability approximation is checked by comparing the results to those derived through direct Monte Carlo simulation of the nonlinear model.
The validity range of the approximations is assessed by comparing the analytical modal analysis with a numerical solution.
However, for laterally or three-dimensionally heterogeneous Earth models the validation of the use of Earth-flattening approximation should be eventually checked by comparing the solutions with those computed by numerical methods such as the FDTD without the approximation for each of the same models.
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.
While such an initial result is encouraging, the overall quality of the approximation employed should be more thoroughly assessed by comparing the values of the exact confining potential, U X,Y), at arbitrary points (x,y to the corresponding values obtained from the approximated circular confining potential, U D ( r = x 2 + y 2, R = L / Π ) Open image in new window, at that location.
The discretization error in the approximations is estimated using "Milne's device" by comparing the result from two different methods in a predictor corrector pair.
However, an approximation of the experimental error can be obtained by comparing the expressions of two libraries that show a strong correlation.
We further investigate the edge effects in the data set by comparing the exact P-values obtained under the single sequence approximation.
