Sentence examples for applicability of this approximation from inspiring English sources

However, the effects of (1) depth of the upper interface, (2) the largeness of velocity of the cap layer, and (3) the impedance ratios of target layered medium, on the applicability of this approximation, were not discussed.

The accuracy and applicability of the approximation method are investigated based on the estimation error of the cumulant and using numerical examples.

The third column (Table 4) is shown for evaluation of applicability of Guinier approximation.

Based on the comparative analysis, some conclusions regarding the applicability of 2D approximation when considering deformation behavior on the meso-scale level have been drawn.

Using artificial data (Supplementary Fig. S2 and Table S2), we confirmed the applicability of our approximation even if the rotation axis is slightly tilted (Supplementary Fig. S3).

This is because the applicability of the uniform approximation method is inherently connected to the behaviors of functions (19) and (21).

However, the non applicability of the Boussinesq approximation in our application is independent of the chosen approach.

Let us consider the question about validity of applicability of the WKB approximation to the problem under consideration.

The u-τ-b m relation in Figure 7a,b shows that the greater the value of K v, the greater the value of τ, and the u-b m relation shows that the greater the value of K v, the lower the value of b m. Figure 7c shows the results of applying Equation 6, which confirms the applicability of the hyperbola approximation method.

Figure 5c,d shows the results of applying Equation 6; the applicability of the hyperbola approximation described above is confirmed in Figure 5c, while Figure 5d shows that the stress path accurately represents the Mohr-Coulomb failure criterion, and that the greater the JRC values, the greater the c and ϕ values.

In the present contribution we focus on the applicability of the new approximation to the widely accepted heat and mass transport correlations proposed by Winterberg et al. Replacing the Brinkman equation with the new analytical approximation in an existing reactor model reduces the model complexity and thereby the computational effort with basically no loss of accuracy.