Sentence examples for above analytical from inspiring English sources

We support our above analytical proof by a numerical example.

Except for special cases, the above analytical computation is not so much easy job.

To illustrate the above analytical results, we consider the following three specific numerical examples.

Generally, Table 11 shows aggregated the above analytical results in the three models.

Therefore, based on the above analytical study, we conducted the following experimental investigation.

Based on the above analytical framework, I V characteristics have been calculated for various 1D transport scenarios.

Based on the above, an analytical result is obtained as shown in Fig. 7.

In this section, we illustrate the possible application of the above established analytical result with the following two concrete examples.

In this section, we will illustrate the possible application of the above established analytical result with a concrete example.

So, the entire algorithm, as well as the numerical integration, cannot be used for this term (coming from the presence of r12-1), only the above mentioned analytical one.

Parametric studies on the effects ofm, ϵ1and ϵ2on the period-amplitude behaviour are presented as obtained by using the above three analytical methods.