Sentence examples for approximation is useful from inspiring English sources
This approximation is useful if the column consists of five or six faces because the face width can be used for the radius of the circle (r).
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 even in the particular case of unequal probability sampling with fixed sample size.
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.
Unusually for a solid, the binary collision approximation is useful across a wide energy range, and as a consequence residual damage is consistent with the Kinchin Pease model.
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.
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.
The proposed approximation based approach is useful to represent the capacity for the realistic multi-cell setup, i.e., variable user-density and therefore variable channel path gain toward the BS of interest.
The Padé approximation is a useful method for creating new inequalities and improving certain inequalities.
This approximation is particularly useful in the common case when only a filtered estimate of p(x t |Z1 t) is required at each time step [17].
