Sentence examples for approximation is useful in from inspiring English sources

As there is no analytical estimate of the power of the Kruskal-Wallis test after false discovery rate corrections, an approximation is useful in the case of small sample sizes.

This approximation is useful even in the particular case of unequal probability sampling with fixed sample size.

The accuracy of this approximation can be confirmed using analytical or numerical methods in the future, but the present approximation is useful for practical modeling; at least in the case when the bipole source tilt angle is less than 8 degrees from the vertical, as in the present case.

This approximation is useful to describe the combustion behavior in suspensions of refractory metal-fuel particles, where the lack of significant premixing of fuel vapor with oxidizer can lead to combustion in a diffusion micro-flame enveloping the particle.

But a larger number of angular intervals will result in a more complex decision process and the approximation is useful only if it is amenable to efficient implementation.

The objective function expresses the magnitude response requirements in the whole frequency range properly, which is useful in improving the approximation quality to Hilbert transform pairs.

This approach is useful in cases where the approximation of the electrode as an infinitesimal point is deemed too simplistic, for example, when assessing the effects of an electrode's size or shape on the measurement.

The HAP is useful in practice, since it means that the approximation rate in a reconstruction of f is invariant under time-scale shifts.

This model is useful in simulations and compression (Baldi et al., 2007), but cannot be treated analytically due to its large number of parameters, unless the approximation p j = Cj−α is used.

Due to involvement of high-order transfer functions in dynamic models of individual motor drive systems, Pade approximation is used as a useful tool in the aggregation process.

However, in many cases approximations are useful, either because exact results are not available or because they are too complex to allow better understanding of evolution.