Sentence examples for conclude this note from inspiring English sources

Now, we conclude this note by deriving the following results of integral type.

To conclude this section, note that shrinkages and regularization procedures are linked in the sense that a shrinkage function solves to a regularization problem constrained by a specific penalty function [16].

To conclude this section, we note that the benefits of adopting a smoothing process for sifting can be summarized as a few items and these will be investigated empirically through simulation studies in the subsequent sections.

We conclude this example by noting that the true value of the covariance is.

We conclude this section by noting the similarity and differences between the analysis performed in ref. [38].

We conclude this section by noting that power allocation schemes based on other possible fairness criteria can also be considered.

We conclude this section by noting the availability of multivariate distributions with Pareto conditionals rather than Pareto marginals.

We conclude this paper by noting that by extending Tables 1 and 2 and using the same technique given here, all other known formulas in [3] (see (1.9) can be proved and further extension summation formulas for in (1.9).

We conclude this section by noting that, again, the best description of the expected physical behavior of the device is obtained by adopting method A, that turns out to provide an accurate and stable 3D extension of the 1D SG formula, as clearly demonstrated by Figure 7(b).

We conclude this investigation by noting that the results deduced above are significant and can lead to numerous other fractional integral and derivative formulas and integral transforms involving various special functions by suitable specializations of arbitrary parameters in the main findings.

We conclude this analysis by noting that from some point in time onwards, the bundles observed experimentally appear to continue elongating without changing their thickness.