Sentence examples for preceding result from inspiring English sources

Incorporating this change, we state the preceding result for odd values of l.

The preceding result characterizes reachability of S-HDS on infinite time horizons.

Further, some results in the literature are realizable as special cases from the preceding result.

Later, Carocca [4] presented extensions of the preceding result considering p-supersolubility instead of supersolubility.

It is easy to see that the preceding result yields the following corollaries.

Example 10 shows that the contractive condition (11) cannot be deleted in statement of the preceding result.

The watermark is extracted with BCR value greater than 99%% which confirms the preceding results.

This follows from the preceding results by noting that ρ = λ−ρ− + λ+ρ+.

Thus, the preceding results are valid for any choice of the symbol duration T s.

The estimation performance obtained with the observer structure is evaluated using Monte Carlo simulations and compared to preceding results.

As an application of the preceding results, let us present an example from economics in this section.