Sentence examples for approximation to the second from inspiring English sources

where we name as th-order bilinear approximation to the second derivative, and are real scalars.

The kernel generalized variance gives an estimate of the mutual information between two sets of variables (e.g. functional connectivities and ADOS scores), is exact when the variables are jointly Gaussian, and is an approximation to the second order when the variables in question are from arbitrary distributions and 'nearly independent' (Bach and Jordan, 2003).

Then, we use the time-splitting finite difference method with the wavelet-adaptive grids to solve the modified Gross Pitaevskii equation, where the approximation to the second-order derivative is given by the Lagrange interpolation method.

Hence, equations (20.1 - 20.2) give the fourth-order approximation to the first-order normal derivatives of the solution of nonlinear equation (3).

For modeling IGMRF, E IGMRF d) is chosen as the square of finite difference approximation to the first-order derivative of disparities.

The operator's optimality is subject to three performance criteria defined by Canny and is a very close approximation to the first derivative of the two-dimensional Gaussian function G x, y).

In this section, we give some lemmas to prepare for our results, and then we give a posteriori estimates for the mixed finite element approximation to the fourth order parabolic optimal control problems.

Differentiation of the piecewise linear approximation yields an approximation to the first time derivative \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\frac{\mathrm {d}}{\mathrm {d}t} v$\end{document}.

We compare the proposed higher-order method with the other higher-order methods,,, and that employ higher-order Taylor approximations to the second derivative as shown in [10].

Necessary and sufficient conditions are proven for the existence of nodal approximations to the first derivative with the SBP property.

Then the least-squares finite element method using C0 linear elements enriched with the residual-free bubble functions for all unknowns is applied to obtain approximations to the first-order system.