Sentence examples for analytically proved from inspiring English sources

The analytical expressions have been analytically proved and verified through extensive simulations.

Characteristics of each mode type are analytically proved.

The finite-time stability and convergence of the closed-loop system are analytically proved.

The finite-time stability and convergence of the proposed schemes are analytically proved.

It was analytically proved that the considered algorithms are stable and convergent.

First, the existence of the crack-induced NPLs are analytically proved using a modal expansion method.

We analytically prove the asymptotic normality of the proposed estimator.

Boundedness analysis is presented and global convergence is analytically proven.

An iterative procedure is devised to tackle the two SDP problems, whose convergence is analytically proven.

We analytically prove the existence of stable and unstable periodic solutions near the parametric resonance frequency.

As a case, using a tail analysis of LL and RLL distributions, we analytically prove that they are heavy-tailed.