Sentence examples for functional established from inspiring English sources

Hasanoğlu obtained the Fréchet derivative of the functional, established a minimizing sequence, and stated that this sequence weakly converges to the quasi-solution of the problem.

Enzyme-induced dynamic degradation is an efficient and biocompatible approach to improve the bioactivity of hydrogels through releasing space continuously for cell proliferation and promoting the functional establishing of engineered tissue.

One appropriate regularized functional was established, and the functional was solved by the sensitivity coefficient and Newton-Raphson iteration method.

Genes were characterized for function according to the functional categories established by MIPS [ 24] and the SGD [ 25].

By using the linking theorem twice to the corresponding functional, they established the existence results.

The dual functional membranes established enhanced antibacterial properties and increased tissue cell compatibility.

Based on the optimal control framework, the existence and necessary condition of the minimum for the control functional are established.

In [1], Bourin and Lee introduced a two variables functional and established the following log-convexity theorem: Let (A, Bin M_{n} ^) and (zin M_{n}).

Biological significance of these highly specific functional relationships, established by our clustering scheme, can further be extended in terms of relationships within the regulatory context.

This functional annotation established the secretome's ability to perform diverse roles in pathogenicity and interactions with host cells.

Noteworthy, functional analysis established that the novel mutated protein, while being impaired in cell growth and inhibition assays, retains some in vitro binding to CDK4/6.