Sentence examples for utilizing this result from inspiring English sources

Utilizing this result, we can show the following lemma.

Utilizing this result concerning bounds for the Riemann-Stieltjes integral, we can provide the following error bounds in approximating the integral ∫ a b f d u.

Utilizing this result, we obtain a strong convergence theorem of iterative sequences for left amenable semigroups of asymptotically nonexpansive type mappings.

Afterwards, we utilize this result to prove our main existence result for (P), when Ω ⊂ R N is a bounded smooth domain.

We then utilized this result to create a high-throughput screening method for antagonists of this functional toxicity caused by Aβ.

Previous attempts at utilizing this technique resulted in only minor deformation [10] due to the low surface-area-to-volume ratio of the liquid metal.

In addition, we elucidated the effect of sand bed height to maximize the growth rates utilizing this behavior that results in enhanced kinetics.

The results of our studies utilizing this new technique confirm results of previous studies from this and other laboratories [ 37- 39] indicating that subchronic exposure to Cd2+ for 6 weeks causes proximal tubule dysfunction without causing significant necrosis of tubular epithelial cells.

Appropriate deep dermal placement with small aliquots of ArteFill and reevaluation of the results with a second treatment session as needed would optimize results utilizing this unique product in the clinical setting.

As a result, by utilizing this type of controller, control effort remains less than 25°, which is the maximum pitch angle of the wind turbine, remains limited in the third area.

While the sponsors and investigators of these trials deserve credit for utilizing the results database, this represents a limited percentage of the unpublished trials in this group, meaning that currently the availability of results on ClinicalTrials.gov may also be affected by biases similar in nature to the publication and outcome reporting biases that affect the published literature.