Sentence examples for in a multidimensional case from inspiring English sources

Thus, Theorem 7 can be translated in a multidimensional case as follows.

But applied problems require a consideration of (4.3) and (5.3) in a multidimensional case and a development of fast computational methods for them.

Let us now generalize it to a multidimensional case.

In the setting of point measures we introduce a damped gradient that was lacking in the multidimensional case.

To do that, we have been inspired by the perimeter of a triangle, as well as Dhage, which in the multidimensional case can be seen as the sum of all distances between any pair of points.

In the multidimensional case, our results give the norm of the half-space Fourier multiplier on Rn.

The Sturm-Liouville problems in domains with piecewise smooth boundary are also of great interest in multidimensional case.

This method is based on hierarchical agglomerative clustering in which two images with the highest correlation in a multidimensional (in this case, 70-dimensional) space are merged into a cluster.

A Support Vector Machine SVMM) performs classification tasks by constructing hyperplanes in a multidimensional space that separates cases from different classes.

The extension to systems and to the multidimensional case is done in a simplified way which does not preserve the scalar order of accuracy.

Finally, we point out that, following well-known techniques (which can be found in [7], Section 6), the unidimensional Theorem 33 can be particularized to the multidimensional case in which X is replaced by X n, and generating a large list of coupled, tripled and quadrupled possible results.  .