Sentence examples for this approximation does not from inspiring English sources

Although this approximation does not produce exactly the same values of all the variables at some time in the future as those produced by a numerical solution of the differential equations starting with the same initial conditions, the qualitative behaviour is indistinguishable over long time periods.

This approximation does not need any parameter information of the transponder, only a specified command to call.

This approximation does not significantly affect the numerical analysis results presented later because of the condition (a^{ ( n )}T gg 1) where the influences of the initial condition rapidly decay.

Note that this approximation does not account for retrapping of the Josephson junction in the supercurrent state after n full rotations of the phase, hence it applies when the bias is large enough to precvent such retracing or phase diffusion.

However, this approximation does not arise from (5) but from assuming a factorisation of the observations, which is useful when there is a different model for different parts of the observation vector.

We have also concluded that the validity of this approximation does not depend on the timescale of the conformational dynamics.

Due to the use of an odor source with reduced volume, this approximation did not hold in the present study.

Hence, the approximation does not have a minimum that would allow us to define naturally the characteristic length.

It is empirically shown that the approximation does not impair the quality of the obtained solutions given a budget of objective function evaluations, while considerably reducing the computation time in the case of multiple objectives.

Thus, at an acceptable SNR value, the approximation does not show any degradation as N and K values change.

Therefore, the difference between mean species numbers for S6and S7in the full model and those in the approximation does not affect the error directly.