Sentence examples for been proven by using from inspiring English sources

The evaluation of the endocrine activity in wastewater samples could already been proven by using these assays[75 78].

It has been proven by using band-corrected pseudopotential density functional theory that the ZnO/ZnS hetero-nanostructure can induce new interface state and related photoluminescence [17].

This result is proven by using an inductive argument.

The invertibility of this matrix and its submatrices is proven by using brute force simulations.

The non-negativity of R ( t ) ∀ t ∈ [ 0, t f ] is proven by using continuity arguments.

Theorem 2.3 can be proven by using the ideas in the proof of [30], Theorem 2.

The control law was synthesized and stability of the controlled system was proven by using Lyapunov criterion.

The global stability and error convergence of the closed-loop system are proven by using the Lyapunov stability theorem.

Theoretically, its weak convergence is proven by using Markov theory, while the experimental results demonstrate its strong convergence.

The finite-time stability nature of the TSMC law is proven by using a Lyapunov-based approach.

Hence the existence and uniqueness of this theorem are proven by using Lemma 2.3 with λ = 1.