Sentence examples for were found by applying from inspiring English sources

All of these stability transition behaviors were found by applying the Routh-Hurwitz procedure, whereby the traditional procedure is first applied to the characteristic polynomial of the system, and then again to guarantee the existence of a second-order auxiliary polynomial in the Routh array.

Note that original shift-adds designs were found by applying HCMVM and HCMVM-DC to the original DCT matrix.

In [6, 7, 11], and [14] some new theorems on three-term relations for the Hardy sums were found by applying derivative operator to the three-term polynomial relation.

After discarding mislabeled samples, 10 genetic clusters, as opposed to the two genetic groups traditionally recognized within T. cacao, were found by applying Bayesian statistics.

As a result, 4,099 TSRs were found by applying above criteria (Table  1), compared to 2,437 normal-specific intron retentions (NSRs).

The corresponding number of spheres per cubic micrometer in these phantoms is 0.0131, 0.0073, 0.00364 which were found by applying the relationship in Eq. (1).

Solutions are found by applying multicriterial mathematical programming techniques.

The latter are found by applying the Wittrick Williams algorithm.

The minima of the cost functions are found by applying gradient based optimisation techniques.

Then, the clustering solution is found by applying the bisection method to the similarity matrix.

A piece-wise linear approximation to the true silhouette can then be found by applying dual-contouring techniques.