Sentence examples for via mathematical analysis from inspiring English sources

Stability analysis of the closed loop behaviour of the reactor under the proposed methodology is done via mathematical analysis of the equations that describe the dynamic behaviour of the estimation and regulation errors.

An expression for the self-induced velocity of a point on the boundary surface is obtained via mathematical analysis, and with it a new definition of the normal vector valid even for a non-smooth surface is given.

We then demonstrate the performance of NBP via mathematical analysis and NS-2 simulations.

We will further discuss why and how much this change enhances both Wi-Fi and ZigBee performance via mathematical analysis in Section 5. NBP exploits the cross-correlation method[17] to detect the ZigBee transmission.

Via mathematical and numerical analysis, the optimal throughput in both instantaneous transmission mode and delay constraint transmission mode can be obtained.

The robustness of the adaptive filtering algorithm is proved theoretically via a mathematical analysis.

We address linear delay systems with deterministic impulses by designing a standard P-type learning law via rigorous mathematical analysis.

Assuming continuous dependence of the solution on data - a property which can be inferred via a mathematical analysis not much different to the one performed in the Appendix - it is found that such an increase can be obtained acting on (i) scleral biophysical parameters and then on choroidal and retinal ones; (ii) active pumping.

Sufficient conditions to guarantee the convergence of modified tracking error are obtained by using the tools of mathematical analysis via an impulsive Gronwall inequality.

Papers dealing with applications of mathematical analysis will be limited to those that contain a significant treatment of mathematics and not routine applications of mathematical analysis.

The mathematical analysis is as follows.