Sentence examples for function lies in from inspiring English sources

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Insight into the role of individual glial cell function lies in their successful isolation and purification to maintain phenotype and realistically mimic in vivo conditions.

Therefore, the key to performing the pilot programme's function lies in enhancing the weight of the environment-related indicators in the promotion assessment system.

Taken together with the fact that these groups are predicted to transport only water, this indicates that their main function lies in regulating the water balance in the rapidly expanding and soluble sugar accumulating, ripening fruit.

Finally, we establish the existence of a global solution when the initial function is radial, the nonlinear Schrödinger equation has an energy subcritical nonlinearity, and the initial function lies in Hρ+ϵ(Rn)∩H1/2+ϵ(Rn)∩H1/2+ϵ,1(Rn).

The cyclotides are a family of plant-derived proteins that occur in plants from the Violaceae (violet), Rubiaceae (coffee) and Cucurbitaceae (cucurbit) families and have a diverse range of biological activities, including uterotonic, anti-HIV, antimicrobial, and insecticidal activities; the latter suggests their natural function lies in plant defense.

Indeed, the strength of an implicit function lies in their unifying power besides being general enough to yield new contraction conditions.

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We also give a nontrivial example of a function lying in the class of higher-order K- ( F, α, ρ, d ) -convex but not in the class of higher-order K-F-convex.

The Gronwall-Bellman inequality [1, 2] is widely used in the qualitative and quantitative analysis of differential equations, as it can provide explicit bound for an unknown function lying in the inequality.

Henceforth the KL measure is used as cost function since the advantage of KL compared to other cost functions lies in the guaranteed convergence to a fixed point.

The reason for the interest in semi-convex functions lies in the fact that on the one hand, as the reader will see throughout the exposition, the general theory of gradient flows applies very well to this class of functions and that, on the other hand, they are general enough to cover many interesting cases.

One important source for new functions lies in the large number of non-classical calpains where one or more of the three amino acid residues essential for enzyme catalytic function have been replaced (grey and half grey circles in Figure 1 and more details in Additional file 1: Table S1).

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