Sentence examples for utilizing this result we from inspiring English sources

Utilizing this result, we can show the following lemma.

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

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.

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.

While proving this result, we utilize Definition 1.14 which is a natural extension of commutativity condition to two finite families of mappings.

To ensure the robustness of this result, we: (1) utilized two separate TFBS prediction methods – Poscons and Turnover, (2) repeated the analysis on the core region of the TFBS in addition to the entire TFBS, (3) accounted for potential selective sweep effects, (4) examined CpG dinucleotide frequency bias, and (5) used three independent sets of approximately neutrally evolving control sites.

Utilizing this new identity as an auxiliary result, we have obtained some new variants of Hermite-Hadamard type inequalities.

We will utilize this to update classical results on the relationship between flat and projective dimensions for perfect modules.

As a result, we utilized a hierarchical approach to record alcohol consumption (see Methods).

We show this result utilizing the method of lower and upper functions.