Sentence examples for take the approximation of from inspiring English sources

Thus, one may take the approximation of (theta (t_{m+1})) given in (21) as an estimated error (e_{m+1}) for the actual error (E_{m+1}).

A conic section has constant affine curvature and is, therefore, taken as the approximation of the affine curvature at the central point out of the five.

By taking the paraxial approximation of Eq. (1) and expanding the radial distance, r, we obtain the field as a Fourier transform: where the Fresnel radius, r F, is given by, We have assumed z f is large enough to neglect a curvature term in x f and y f.

Future directions of research will take into account that the approximation of periodic boundary conditions cannot easily be maintained for the modeling of dilute defects embedded in a regular crystalline environment.

If we take the enforced decomposition of approximation subbands into account (constrained case), we denote the expected average decomposition depth D g f.

It may be discomforting, but it is not surprising that our attempts to predict the evolution of volcanic systems are destined to take the form of exceedingly uncertain approximations; and that our probabilistic forecasts are affected or dominated by substantial uncertainties.

Mr. Diamond, 44, wheezes out the approximation of a laugh.

And the approximation of truth, the presentation is everything.

This matrix is computed by taking the inverse of an approximation to the Hessian matrix of the model under consideration.

Assuming that promoter elements driving a weak expression yield fewer transgenic lines with a strong expression this percentage is taken as an approximation of the expression strength of the promoter fragment under consideration.

For the transcription start site (TSS) analysis, the start coordinate for each gene was taken as an approximation of the TSS location.