Sentence examples for values of the functional from inspiring English sources
In this case, the values of the functional characteristics depend on the gap situations, and are not explicitly formulated as a function of part deviations.
In this case, the values of the functional characteristics depend on the gap situations and are not explicitly formulated with respect to part deviations.
Applying the Calculus of Variations to the eigenvalue problem in an appropriate functional setting, one can see that the critical values of the functional involved are precisely the eigenvalues of the problem.
By Theorem 2.8, we find, for k ≥ 2, that c k = inf γ ∈ Γ k sup u ∈ B k I ( γ ( u ) ). are critical values of the functional J.
The relative values of the functional traits for each species included in this study were derived from current public databases and literature (see Pollastrini et al. 2016; Liebergesell et al. 2016, with references and annexes therein).
The protonation state of each ligand shown in Figures S2, S3, S4, S5 and S6 was determined according to pKa values of the functional groups of the ligand and its nearby residues of the protein partner at pH 7.4.
The problem of maximizing the absolute value of the functional Λ μ in subclasses of normalized functions is called the Fekete-Szegö problem.
Usually, there is a parameter over which the extremal value of the functional is needed.
Instead, minimizing sequences develop gradient oscillations which allow them to reduce the value of the functional.
c ρ is the critical value of the functional I ρ, c ∗ is the least-energy value of I ( u ).
end{aligned} Then it is easy to calculate [6, 7] that the 'optimal' value of the functional (25) of [1] will be (J approx 0.8).
