Sentence examples for approximation with the from inspiring English sources

A series of examples are given which demonstrate that the approximated Mohr envelope, derived by invoking the 2nd-order Taylor approximation with the expansion center of 0.5, is nearly identical to the exact analytical form.

Orange broken line is approximate straight line with gradient p, which was computed by linear approximation with the least squares method.

Local density approximation with the PWC function is employed as exchange correlation function [27].

In this section, we give quantitative estimates concerning approximation with the following theorem.

Even the 1st-order Taylor approximation with the expansion center of 0.5 is proven to be satisfactory.

Coulomb interactions are treated in the mean field approximation with the image charge effect taken into account.

Therefore, we develop a solution procedure by integrating sample average approximation with the integer L-shaped method.

As shown in Fig. 4, we computed the gradient p by linear approximation with the least squares method.

From Figure 12, we also observe a qualitative agreement of the approximation with the numerical solution of the original system.

The exchange correlation potential is described by the generalized gradient approximation with the Perdew-Burke-Ernzerhof parametrization.

The platform of the respective transmucosal placed implants were tactically interrogated to confirm approximation with the alveolar crest.