Sentence examples for approximations utilizing from inspiring English sources

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

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.

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].

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].

By introducing the radial basis function neural network (RBFNN) approximation method, utilizing the backstepping method and choosing an approximate Lyapunov function, we construct an adaptive state-feedback controller which assures the closed-loop system to be mean square semi-global-uniformly ultimately bounded (M-SGUUB).

In this context it is shown, that, particularly for problems of higher dimensions, approximation techniques utilizing linearization may be prone to considerable errors.

Thus, we resort to the continuous counterpart for approximation by utilizing a rounding method that sums the probability mass from x − 0.5 to x + 0.5 for each data point.

Most IB simulations represent their structures with piecewise linear approximations and utilize Hookean spring models to approximate structural forces.

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.