Sentence examples for value of the functional from inspiring English sources

The problem of maximizing the absolute value of the functional Λ μ in subclasses of normalized functions is called the Fekete-Szegö problem.

Instead, minimizing sequences develop gradient oscillations which allow them to reduce the value of the functional.

Every species on Earth fills a unique environmental niche that is driven, in part, by the process of environmental filtering, where the adaptive value of the functional traits of individuals determine their fitness within the given environmental conditions.

Usually, there is a parameter over which the extremal value of the functional is needed.

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).

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.

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).

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.