Sentence examples for system we prove from inspiring English sources

For the corresponding auxiliary system, we prove the existence of solutions by using relatively suitable conditions.

For the proposed overall system, we prove hierarchical consistency and that the closed-loop behavior is nonblocking.

In the case of anN-body system we prove that the high velocity limit of any one of the Dollard scattering operators determines uniquely the potential.

For an interval system, we prove that the maximal H∞ norm of its sensitivity function is achieved at twelve (out of sixteen) Kharitonov vertices.

With the given type of randomness in the system, we prove that there is a greater chance of the disease vanishing from the population.

With this innovative microgravity simulation system, we prove through experiments and tests that our innovative method is feasible and effective and that the simulation fidelity is even higher than the neutral buoyancy system.

In a comparative study of the new system we proved the usability and the learning effect to be of an advantage.

Using the same system, we proved that neither the co-expression of the domain NH2-FUS nor the co-expression of the DDIT3 domain produced any effect on the transactivation of the eIF4E promoter (Figure 6C), indicating that both domains are required for affecting eIF4E expression.

Under these conditions and considering only the case where the spectrum is simultaneously utilized by the two systems, we prove that the best response dynamics are globally convergent.

By means of dual transformation and generalized Riccati equation systems, we prove the existence of eigenvalues and construct the corresponding eigenfunctions.

On finite horizons and for arbitrary exo-systems, we prove that our control is an agreeable plan as it approximates the computational expensive, time-varying optimal control of any suitably large horizon.