Sentence examples for approximation to the first from inspiring English sources

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).

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}.

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

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

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

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.

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.

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).

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

The generalized framework gives a straightforward means of posing many known approximations to the first derivative as SBP operators; several are surveyed, such as discontinuous Galerkin discretizations based on the Legendre Gauss quadrature points, and shown to be SBP operators.

Our numerical simulations also suggest that it gives higher-order approximations to the first two moments for both linear and non-linear systems (although this is not clear from the literature).