Sentence examples for examples we apply from inspiring English sources

As two examples, we apply our method to incorporate the supervise information with PCA and Robust Sparse PCA (RSPCA) to improve their discriminative abilities.

As numerical examples, we apply our solutions to the typical piezoelectric AlGaN/GaN bimaterial to analyze the fields induced by charged square and elliptic dislocation loops.

In the numerical examples we apply the method to obtain dispersion relation of the bulk liquid and to calculate solvation and absorption spectrum of atomic boron solvated in superfluid helium.

In the examples, we apply the Ehrlich-type methods (1.18) for some ({N ge1}) using the following stopping criterion: varepsilon_{k} < 10^{-15 10^{-15ext{and} quad E_{f}bigl(x^{(k)}bigr) < matext{and} quad (k gE_{f}bigl

In our examples we apply ridge regression and partial-least squares (PLS) on regression problems, while for classification problems we use ridge logistic regression and linear SVM coupled with Pearson's rank based variable selection.

In addition to some textbook examples we applied our software system to an example discussed in a recent research paper.

As test examples, we applied this program to calculate the linear response of bulk aluminum and a beryllium monolayer.

For example, we apply many restrictions on the applicants to Acoba, and we have the powers to make sure that information is in the public domain".

As a second example we apply the algorithm to a problem in satellite remote sensing.

For example, we apply Corollary 2.6 to, then we obtain the following result.

As an illustrative example, we apply our direct formulas in one-dimensional signal denoising.