Sentence examples for present a mathematical proof of from inspiring English sources

Whilst we do not present a mathematical proof of this method, we demonstrate validity via comparison with results from a classical method based on the network stiffness matrix over a diverse range of particle assemblies, including diluted bond networks and assemblies of cohesive, frictional particles.

Here, we address this issue by presenting a mathematical proof for the completeness and soundness of the loopless-COBRA method, thereby adding fundamental support and rigorous proof for the constraints presented by Schellenberger et al. [ 17].

A mathematical proof of the proposed scheme is presented and for the proof of concept a simulation is conducted with full bidirectional MM-W RoF transmission.

A mathematical proof of the origin of the problem is proposed.

Using social networks to make recommendations will always compromise privacy, according to a mathematical proof of the limits of privacy.

As if to illustrate his point, he explained the memoir's titular theorem this way: "We established a mathematical proof of stability in plasmas without any collisions".

We provide a mathematical proof of the optimality in terms of coherence minimization for the proposed sensing matrices.

We have provided a mathematical proof of this discovery.

We have also provided a mathematical proof of the algorithm with an explicit statement of the limits of its applicability.

Such a unique proposal of getting the reference signal is justified by presenting a detailed mathematical proof of achieving the most optimum Wiener-Hopf solution of the estimated filter coefficients, and a convergence analysis is carried out.

Here, we present a mathematical approach to normalization that makes no assumption of this sort.