Sentence examples for approximations are achieved from inspiring English sources

At the end of the iterative search routine of GSA, the optimal values of the coefficients in terms of the third order rational approximations are achieved which accurately approximate the magnitude response of the ideal FOLBF.

Numerical examples show that accurate approximations are achieved efficiently for very large changes in the design variables.

Indeed high-accuracy parametric approximations are achieved for the band structure, enriched by the new optical branches related to the resonator frequencies.

By searching for the smallest difference between the exact probability values and those obtained from approximated functions with different q, the optimal values of q for two approximations were achieved which are 0.27 and 3.91 respectively in this particular case.

The systematic construction of progressively higher order spatial approximations is achieved via a modified equation analysis, which allows one to clearly identify appended terms appropriate for a desired accuracy order.

The systematic construction of progressively higher order spatial approximations is achieved via a modified equation analysis, which allows one to determine the computational stencil coefficients appropriate for a desired accuracy order.

Excellent approximation is achieved by modelling with Biorthogonal spline wavelets used for deriving consistent output prediction of the LZCS process.

This approximation is achieved by the interaction of finitely many aspects governed by a common ranking function, where the choice of aspects and ranking function instantiates the design pattern.

The proposed approach towards the prediction is done using a multilayer perceptron (MLP), which is trained with backpropagation algorithm because the function approximation is achieved with very good accuracy using MLPs.

This approximation is achieved by substituting the prediction measurement of the jth target (( boldsymbol{H}boldsymbol{varPhi } {widehat{boldsymbol{x}}}_jleft k-1Big|k-1right) )) for the observed measurement of the jth target.

An acceptable baseline approximation was achieved for λ = 10,000 and p = 0.001.