Sentence examples for approximations utilized from inspiring English sources

In order to appropriately utilize the semi-empirical model of SFFL presented in this study, it is important to consider the assumptions and approximations utilized in its development.

Algorithms for auto-regressive approximations utilizing cumulants of arbitrary order are shown to characterize cubically phase-coupled test functions.

This is most likely caused by slight mismatches between the actual phase function of the liquid phantoms and the model approximation utilized in the MC model [ 36].

In addition, all estimations at 5 20 mm are less accurate because of the diffusion approximation utilized in the FD-MD formulation [ 41].

Recently, several studies have introduced relatively simple models, which are designed for specific probe geometries [ 3, 4], with some of them being empirical or semi-empirical in nature while others are based on a relatively simple solution of the diffusion approximation utilizing the method of images [ 5].

The long wavelength, creeping (low Reynolds number) and Debye Hückel linearization approximations are utilized.

The sparse algebraic equations resulting from QSS and PE approximations were utilized such that the efficiency of the dynamic stiffness reduction is high compared with general methods of time-scale reduction based on Jacobian decomposition.

Resolution of identity (RI-J) and chain of spheres (COSX) approximations were utilized with the equivalent quality auxiliary basis set.

The well-known narrow beam approximation is utilized to compute backscattering [12].

A Boussinesq approximation was utilized to model the buoyancy-driven flow.

Multiple imputation particle filter (MIPF) has been introduced in [122] where particle approximation is utilized to perform multiple imputation.