Sentence examples for approximation which uses from inspiring English sources

This approximation, which uses the Williams power series expansion (WE), is intended to be used to estimate the extent of the nonlinear zone, which plays a significant role within tensile failure and the fatigue assessment of non-brittle materials.

Specifically, we show that the first-order approximation, which uses a point estimate to calculate the mean, can reduce the cost by two to three orders of magnitude, but may introduce relatively large error in the solution.

The asymmetric approximation, which applies to sources away from the jet axis, and the quasi-symmetric approximation, which uses a near-axis source assumption, are both obtained for parallel round jets from a formal Fourier-transform solution.

The explicit surface generation method is a grid-based approximation which uses space-filling model where each atom is modeled as a volumetric item [18], [19].

A second property that distinguishes RMLA from HEM is that the shrinkage factors for HEM are based on a first approximation, which uses homoscedastic marker variances; in contrast, the shrinkage factors for RMLA are based on a first approximation using heteroscedastic marker variances.

Practically, for the approximate solution (phi_{m+1}), we use a local linear approximation x which uses the information of both the solution and its slope depending on the error (e_{m}) at time (t_{m}) and solve the deferred equation (4) with RK4.

But the foremost applications are concerned with constructive approximation theory, which uses it as a valuable tool.

In the present work, we developed a sequential matrix approximation procedure, which uses increasingly larger subsets of mutation pairs in W to provide a series of estimates for w as solutions of the weighted least squares problem [16].

We implemented our approximation within IMPUTE2, which uses an iterative algorithm to impute untyped variants in GWAS datasets.

This is justified by the energy conservation principle stated in (11) and by the fact that, at the CU side, no information about the authentic audio content is available; hence, this is an approximation of the actual, which uses the quantized projections obtained by decoding the hash signature, in the reasonable hypothesis that and.

For the first 3 problems of this problem set, we will look at Newton's method, which uses successive approximation to find the roots of a function.