Sentence examples for is proven under from inspiring English sources

Security is proven under the standard computational Diffie–Hellman (CDH) and bilinear Diffie–Hellman (BDH) assumptions.

Gevrey class regularity is proven under Lions boundary conditions: in 2D for the Rectangle, Cylinder, and Hemisphere, and in 3D for the Rectangle.

It is also the only scheme for which a discrete entropy inequality is proven, under a CFL condition derived from the natural sub-characteristic condition associated with the relaxation approximation.

Moreover, convergence is proven under switching communication network topologies by means of a Lyapunov-Razumikhin function, and the assessment of a string stable behavior has been also theoretically investigated.

Global convergence of the proposed method is proven under some suitable conditions.

The global convergence of the HSM is proven under some wild assumptions.

Global convergence is proved under some reasonable assumptions and preliminary numerical results are presented.

It is proved, under fairly general conditions, that these strategies yield the optimal guaranteed result.

The feasibility of stress evaluation using ultrasounds in concrete structures is proved under laboratory conditions.

Correctness of the recovery protocol is proved under the formal model.

A form of irreducibility, of interest in ergodic theory, is proved, under a full noise assumption.