Sentence examples for as shown in subsection from inspiring English sources

The Optimal algorithm implements the two ILP formulations exactly as shown in Subsection "ILP formulations".

However, as shown in Subsection 3.3, very often the practical rank is far below this number as maximum diversity is only achieved at unrealistically low error rates.

As shown in Subsection 'Sources in a bimaterial medium', no assumption is made on region 1 for a spherical source (S1), and its source parameter is given as ΔVs in both homogeneous and bimaterial media (Figure 5a).

In this subsection, we provide an example to show that in the presence of diverse channel conditions, applying multiple data rates with a link adaptation mechanism cannot completely equalize transmission qualities, thereby causing a similar unfair behavior as shown in Subsection 5.1.

In addition, as shown in subsection 5.1.2, with small values of q m, n / σ m, n SJR, all the Gaussian components of h m, n SD f in (10) will highly overlap with each other and the estimation of QF1 will not be accurate especially when the patch size is small.

As shown in Subsection 3.3, shattering not only produces small grains but also has an inherent mechanism of steepening the grain size distribution; that is, even if the grain size distribution of shattered fragments has αf smaller than 3.5, the resulting grain size distribution has a steeper dependence, approaching a slope consistent with the one derived by MRN [i.e., n(a) ∝ a−3.5].

Furthermore, as already shown in Subsection 6.1, even the average of a large number of LQI samples does not assure accurate prediction of the LDR in medium-quality links.

Subsection "Optimal algorithm" presents the algorithm that execute the implementation of the ILPs exactly as shown in this subsection.

The specific value of g depends on the rate constants k1, k3 and the concentration of the inactive protein P as shown in the subsection "Mechanistic modelling".

The improved enrichment of true DEGs toward top of gene rank lists implies that it can help current DEG algorithms to achieve better performance as shown in next subsections.

Note that the optimal value of τ can be obtained as shown in the previous subsection.