Sentence examples for prove stability of from inspiring English sources

We prove stability of the spectral gap for gapped, frustration-free Hamiltonians under general, quasi-local perturbations.

In this paper we prove stability of Robin solid wall boundary conditions for the compressible Navier Stokes equations.

Finally, we extend the scheme to delayed nonlinear systems and prove stability of the closed loop system for proper values of the control parameter.

The Lyapunov direct method can thus be used to find adaptive laws for updating coefficients in the approximating series and to prove stability of the closed-loop system.

In contrast to the existing high-resolution shock-capturing schemes, no assumption that the reconstruction should be total variation bounded (TVB) is explicitly required to prove stability of the new scheme.

Since the homogeneity property cannot be used directly to prove stability of the algorithms, the availability of a Lyapunov function is of great importance for analysis and design in these cases.

Recently, Ciepliński [14] studied and proved stability of multi-additive mappings in non-Archimedean normed spaces, also see [15 22].

Since feedback is often collected using error-prone measurement mechanisms, for example, biased estimator or unbiased estimator, they adopted the knowledge of stochastic approximation and proved stability of the algorithms of single-time scale and two-time scale.

AQUAPORIN NIP1-2-LIKE co-localized with δCS1LG6i, which was found interesting because of the importance of aquaporins in determining the leaf water status [ 129] and the proved stability of this QTL.

In this paper, we establish functional equations of ∗-derivations and prove the stability of ∗-derivations on fuzzy Banach ∗-algebras.

Also, we prove the stability of the algorithm.