Sentence examples for derived results for from inspiring English sources

To reduce the analysis work and simplify the representation of the derived results for analysis, the entire graph model is divided into two parts, the primary system and the dynamic absorbers.

The second method, using the equation presented in Warren et al. (2012) for quantifying C density in peat swamp forest soils, shows no significant difference between the equation and elemental analysis derived results for the intact and logged forest sites.

As far as we know the derived results for I α, β are new, even in the case of Euclidean spaces.

Figure 4 shows the derived results for the first six IMFs, as expected the first modes contain the highest frequencies, while the others contain lower frequencies.

Moreover, we validate the theoretically derived results for the PDF of MAI and MAI-plus-noise by comparing them with various simulation experiments.

The derived results for all the cases of different spacings are listed and compared in Table 1, including the focal length, FWHM, DOF, and the maximum light intensity I max.

Within the mean field approximation it is found that the coarsening rate constant for each phase is identical to the previously derived result for a single phase growing in a multicomponent system.

A spreadsheet model (functional branch analysis, FBA) is made available through the WWW that allows users to derive results for new parameter combinations and/or seek new applications.

(iii) Finally, solving the equations obtained in (ii) to derive results for the required probabilities.  .

To obtain complete asymptotic behavior of (1.3), we need to derive results for solutions of (1.3) determined by vectors in the entire plane.

Similarly to this computation we can also derive results for higher degree Lagrange interpolation.