Sentence examples for using the analytical methods from inspiring English sources

Final solutions were tested for concentration using the analytical methods described below.

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

Major physico-chemical parameters were analyzed in quality assured laboratories in Oman using the analytical methods and instrumental techniques shown in Table 1.

Using the analytical methods to estimate SRV parameters, it assumes a homogeneous single-porosity system and a fully stimulated pore volume with 100%% productive shale (optimistic assumption), which may result in under-estimation of hydraulic fracture size.

Of course, more accurate bounds also can be obtained for specific arrays of specified fluorochromes using the analytical methods described in this paper.

Data sets were analyzed independently and in combination for phylogenetic reconstruction using the analytical methods maximum parsimony (MP) and Bayesian inference (BI).

The calculated hole profile using the analytical method was in good agreement with experimental data.

The Monte Carlo calculated NK agreed within 1.77%% of that obtained using the analytical method.

In general, the solution obtained using the analytical method is more accurate than that of the numerical method.

The predicted ductility versus the ductility of the columns obtained using the analytical method is presented in Fig. 18a.

To determine the displacement ductility of the UPTSCs, the capacity curves were first developed using the analytical method presented previously.