Sentence examples for been approximated by using from inspiring English sources

In the recent years, fixed and common points of operators have been approximated by using different iterative schemes (see [1 20]).

The latter have been approximated by using a truncated Fourier series as shape functions in the tangential direction and polynomial shape functions in the radial direction.

The birth dates of the advocates are not easily available, hence wherever the birth dates were not available, their age has been approximated by using the year of their law graduation and assuming their age at graduation to be 25.

Between these points, the responses have been approximated by using splines.

In prior work, this information has been approximated by using LD information from 'best guess' reference panels, but here we show that this can lead to high error rates even when a population closely matching the study population is available (Zaitlen et al.., 2009).

Doublet-point method is used for the calculation of supersonic unsteady aerodynamic forces, and aerodynamic forces are approximated by using the minimum-state approximation.

Through numerical simulation of the radiative heat transfer, polydisperse water droplets can be approximated by using the Sauter diameter, a technique that can be useful in several research fields, such as engineering and atmospheric science.

To this end, the objective function and the reliability constraints are approximated by using a hybrid form of linear, reciprocal and quadratic approximations.

Unknown variables are approximated by using appropriate shape functions.

The PDF can be approximated by using square root B-spline expansions.

In order to rationalize subsequent numerical calculations, the transfer functions are approximated by using truncated series.