Sentence examples for by the averaging method from inspiring English sources

These stresses were unambiguously determined by the averaging method of Anastassakis.

The foundation-input motions arising from these traveling waves are computed by the averaging method of Iguchi.

The stability of a parametrically excited vibration system regarding the regenerative effect in the cutting processes was studied by the averaging method.

For example [21, 22], derived its conditions of frequency entrainment by the averaging method.

The Appendix gives the overall production status of sample property insurance companies from 2010 to 2014 by the averaging method (the data is collected from Yearbooks of China's Insurance).

Until now, this problem has been addressed by a (naive) dimension reduction technique (DRT) of the averaging method: denote length of gene k in genome i as; the ranking is then obtained by the averaging method as, where R i is the set of genes in the ith genome.

The analytical solution of the amplitude frequency relationship is derived by using the averaging method and further verified by numerical simulations.

Here, we have confirmed that the hybrid oscillator also has same conditions, by using the averaging method.

By using the averaging method, we give the averaged form of neutral SFDEs (1) and show that the pth moment of solution to equation (7) is bounded.

Section 3 studies the Taylor problem in the wide-gap case by using the averaging method, and establishes its mathematical frame.

The main objective is to study the stability and the type of transition of the Taylor problem in the wide-gap case by using the averaging method and to compare with the Taylor problem in the narrow-gap case.