Sentence examples for approximation utilized from inspiring English sources

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

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].

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].

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.

In the simulation, the solution was assumed to be incompressible and Newtonian, and Boussinesq approximation was utilized.

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

Furthermore, the complex step derivative approximation is utilized to yield better sensitivities for the aggregated constraint functions with high nonlinearity.

Next, to adapt the optimal controller to any initial condition, the Moving Least Squares (MLS) approximation is utilized.

A specific applicaThis to the failure of a Nicalon fiber composequencepresented.

The adaptive random search algorithm and its modification coupled with penalty function′s approach, and the finite difference methods with cubic spline approximation are utilized by "OPT-PROx" package (http://tomakechoice.com/optprox/index.html).html