Sentence examples for data and the solution from inspiring English sources

One solution is to use validation data, and the solution has gained much attention by many scholars in recent years.

The solution of the Dirichlet problem associated to these coefficients with boundary data and the solution itself can then be compared.

We study the fully inhomogeneous Dirichlet problem for the Laplacian in bounded convex domains in Rn, when the size/smoothness of both the data and the solution are measured on scales of Besov and Triebel Lizorkin spaces.

This is consistent with laboratory observations of Cr III) sorption to micas and of the reduction of sorbed Cr VI) by Fe(II) bearing micas.[33] The EXAFS data and the solution chemistry are also consistent with chromium association with oxides such as eskolaite, chromite or magnesiochromite, all of which are supersaturated.

Since the input data and the solutions obtained by GAMS software for these examples have been given by Kia et al. (2013), they are not repeated here.

Is this a simple oversight and lack of coherent communication of the data and the solutions?

It repeatedly applies standard linear regression to subsamples of the data and outputs the solution that has the smallest median-square error.

Prior to this, a similarity analysis is performed in order to transform the data and simplify the solution of the inverse problem.

The probability of a randomly generated seed to be part of the solution can be computed as the number of possible seeds in the solution divided by the number of possible seeds in the whole data matrix, as in equation 11, where M, N, | I| and | J| are the number of rows and columns of the microarray data matrix and the solution, respectively.

The difference between the actual data and the numerical solution of the model is given, which demonstrates the effectiveness of the model.

Validation results show that the numerical predictions of velocities are in good agreement with the experimental data and the analytical solution.