Sentence examples for using the classical analytical from inspiring English sources

Calculations using the classical analytical the Green function of an infinite annular duct are also addressed.

In this study, using the classical analytical solution for wave motion in the sagittal plane, the authors show that the spectral distortion induced from the artificial finite periodicity are the manifest results of spatial aliasing in the wavevector domain.

In this study, the influence of aerated oil on a high-speed journal bearing is also examined by using the classical thermohydrodynamic lubrication theory coupled with analytical models for viscosity and density of an air oil mixture in a fluid-film bearing.

It was possible to confirm the presence of phlobaphene tannins, catechins, flavones, flavonols, chalcones, isoflavans, pterocarpans, isoflavonoids, biflavonoids, pentacyclic triterpenoids, xanthones and guttiferones in EEP using the classical chemical prospection and a modern analytical technique such as LC-Orbitrap-FTMS.

Analytical results are compared with those obtained by numerical integration using the classical Runge Kutta method.

Analytical solutions of free vibrations and buckling for a multiple-nanobeam system are obtained by using the classical Bernoulli Fourier method and trigonometric method, for the case of the identical nanobeam.

and by using the classical inequality (7.23).

The majority of the classical analytical methods rely on chemical reactions to perform an analysis.

In political science, as in economics, in short, the classical analytical approach was strongly rivalled by the evolutionary.

Figure 4 shows the induced stress from the classical analytical and numerical methods.

For an exact analytical approach we use the classical mathematical models, but besides these, another modus operandi is now commonly employed, which we can call the synthetic approach.