Sentence examples for examine the approximation of from inspiring English sources

Specifically, we examine the approximation of absorption and re-emission by a spatially continuous artificial-scattering process and either a piecewise-constant or piecewise-linear emission source within each spatial cell.

Clearly, there exists an optimal value of K so that the probability sum can be minimized.We also examine the approximation performance of the outage probability and the intercept probability.

To examine the approximation properties of the operator (L_{n}^{alpha_{n}, beta_{n}}) defined in (1), we give some basic results in the form of lemmas as follows.

One of the basic problems in the theory of approximations of functions and the theory of Fourier series is to examine the degree of approximation in given function spaces by certain methods.

In this section, we add a large velocity cap layer at large depth to examine the feasibility of approximation of the Green's function of full-wave with the Green's function of surface waves.

Rather than solely examine the mean approximation error, a method is proposed of how to treat single large approximation errors.

In this section we examine the validity of the approximations expressed by formulas (16) and (21) for the surface impedance Zp given exactly by Eq. (4).

Extensive simulations are used to examine the properties of the approximations.

In this work, we examine the validity of this approximation.

One of the main objectives of the present study was to examine the validity of this approximation.

In this paper, we examine the performance of various approximation algorithms and heuristics for the common scheduling problems on instances generated by different random network models, e.g., taking clustering effects into account.