Sentence examples for functional corresponding to from inspiring English sources

By minimizing the energy functional corresponding to the assumed displacement function, the dynamic stiffness matrix of the element rectangular plate, which is similar to that obtained in the finite element method, is derived.

The first one is how to construct a proper Lyapunov Krasovskii functional corresponding to the considered QVNNs.

Figure 5 shows the behavior of the misfit and objective functional corresponding to the inversion results shown in Fig. 4.

One sequence of solutions are local minimizers of the functional corresponding to the system, the other sequence are minimax type critical points of the functional.

The energy functional corresponding to P λ f is J λ ( u ) = Φ ( u ) - ∫ Ω F ( x, u ) d x, ∀ u ∈ X. (3.6).

Through a compactness analysis of the functional corresponding to the problem, we obtain the existence of positive solutions for this problem under different assumptions.

A new functional is finally formulated by combining the functionals corresponding to the isotropy and uniformity requirements.

In this paper, the variational iteration method is adopted to easily solve Hamilton equations by use of iteration formulas derived from the correction functionals corresponding to Hamilton equations.

Since the functionals corresponding to the real sample are never detected as outliers, this means that the distribution of the model (in terms of distribution of the Minkowski functionals) fits with the real data, in spite of the bias in the estimation procedure.

The 456 amino acid protein harbors four major functional domains corresponding to its function as an E3 ubiquitin ligase (Table 2) [ Imai et al., 2000; Shimura et al., 2000; Zhang et al., 2000].

These two clusters are enriched in functional categories corresponding to proteins with binding function, lipid metabolism, transport and genes implicated in development and biogenesis.