Sentence examples for using different approximations from inspiring English sources

Comparison of the EOS for hcp Os calculated using different approximations within DFT with the experimental EOS measured in this work.

Therefore, even considering the uncertainty of our calculated 3D stiffness (less than one order of magnitude) that may be caused by using different approximations for effective layer thickness, the 3D stiffness values predicted for 1T-MX2 compounds are among the highest in the naturally occurring crystalline solids and are at least three orders of magnitude higher than man-made auxetic materials.

The errors entailed on using different approximations depend on the gas composition, and the magnitude of the pressure and temperature ranges existing at the extremities of the pipe segment.

Two methods to include measured imperfections into the analyses are presented and for one method the effect of using different approximation levels for the imperfection field on the non-linear response is investigated, and a minimum approximation accuracy that should be used is determined.

Mixed finite elements use different approximation spaces for different dependent variables.

The robustness of the proposed method has been evaluated using different initial approximations of material constitutive parameters.

Several methodologies using different levels of approximations have been developed for propagating nuclear data uncertainties in nuclear burn-up simulations.

States together spent somewhere around $3.6 billion enforcing marijuana possession laws in 2010, according to a new study by the American Civil Liberties Union, entitled "The War On Marijuana In Black and White". That's the authors' "best estimate," though approximations using different methodologies put the cost as high as $6 billion and as low as $1.2 billion.

From this figure, it is easy to see that the Fourier method is much stable and better for larger r and ε. Figure 4 Comparisons of exact solution and its approximations by using different methods at (pmb{r=0.9}).

The log likelihood was estimated using the Gauss-Hermite quadrature approximation and stability of the estimates was tested by comparing using different numbers of quadrature points.

Triangulation: using different methods, sources and disciplines, and a range of informants in a range of places and cross checking to get closer to the truth through successive approximations.