Sentence examples for mathematical proof presented from inspiring English sources

This asymptotic tendency agrees with the mathematical proof presented in Section 4.3.

Moreover, it should be noticed that the Slepian-Wolf relay system can achieve slightly better outage performance than that with MRC, which is also consistent to the mathematical proof presented in Section 4.2.

The intuitive interpretation and mathematical proofs are presented to reveal the efficient working mechanism of LRM.

To provide an analytical framework within which public health interventions can be evaluated, present its mathematical proof, and demonstrate its use using real trial data.

"Anybody who has the proof, present it!

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.

For now, Dr. Rabin's idea is simply a scheme backed up by a mathematical proof that he has been presenting to scientists at seminars.

The mathematical proof of the proposed algorithms is presented.

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.

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.

We present the first mathematical proof that long negative feedback loops make oscillators robust to parameter fluctuations by the distributed time-delay mechanism.