Sentence examples for the previous analytical from inspiring English sources

These numerical examples allow us to illustrate some of the previous analytical results.

Verification of the proposed model is performed against the previous analytical result and experimental data.

It is shown that this curve demonstrates a quantitative agreement with the previous analytical result.

The previous analytical solutions require explicitly considering the interface conditions in the evaluation of coefficients or in the eigenvalue system.

Afterwards, we propose a numerical method for solving the initial problem which uses the previous analytical expression.

Monte Carlo simulations have been carried out to confirm the analytical results and to extend the previous analytical results whatever the number of transmit antennas.

The one previous analytical solution to the steady sparging problem in a homogeneous soil was in the boundary-layer approximation that neglects the vertical capillary pressure gradient.

This maximum stress can be calculated from the authors' previous analytical work.

The proposed analytical expression is the modification of previous analytical models known from the literature which is verified and well matches with the model developed by previous researchers.

The beta distribution is a flexible statistical distribution which is consistent with the assumptions of previous analytical approximations of the effect of prevalence and heritability on the ROC curve [ 12, 13], because it can take the shape of countless smooth unimodal risk distributions.

However, there are no reference samples for I-Hg available, but the obtained values for I-Hg in the Seronorm samples (0.72 ± 0.19 μg/L; N = 24) were well in agreement with the results from previous analytical runs of the same batch.