Sentence examples for by the analytical methods from inspiring English sources

In order to verify the analysis results, strains and accelerations in the time domain by the analytical methods were compared with those by a test.

In this paper, a novel approach is proposed to solve the problem directly by using the cutting patterns obtained by the analytical methods at the mathematical modeling stage.

The reaction's products, gel structure and microstructure at different hydration times were analysed by the analytical methods XRD, FTIR and SEM.

(Dikili et al. 2007) developed a novel approach for one-dimensional cutting stock problems in ship production via the cutting patterns obtained by the analytical methods at the mathematical modeling stage.

Supersaturation of more than 1.75 led to precipitations of barite in the pipes and at the inlet of the sample while supersaturation from 1 to 1.75 led to poor amounts of barite precipitation, which were not detected by the analytical methods used.

Obviously, quantities like surface area and volume by grid-based algorithms may not be as accurate as that calculated by the analytical methods.

Exact solution of resulting nonlinear integro-differential equations are obtained by using the analytical methods of homotopy and Adomian.

The maximum plane-normal displacement is obtained by the analytical method and numerical approach.

The simulated ES logging waveforms approximately agree with those obtained by the analytical method.

The results by the analytical method agree well with those by the numerical simulation, both revealing the 2 1 resonance architecture.

The transmission loss calculated by the analytical method agrees closely with the result of the finite element method simulation.