To carry out the mathematical analysis, we consider a simplified model representing the interaction between a potential fluid and a linear elastic thin tube.
For tractable mathematical analysis, we consider the scenario that assumes equal power allocation to the two source terminals (i.e., (P_{T}=P_{T_{1}}=P_{T_{2}}phantom {dot {i}!})).
In particular, the differences introduced in this paper are the following: we generalize the mathematical analysis by considering a more complex scenario (two possible configurations), we present a more rigorous energy dimensioning, we develop more complete simulations, and for the on/off switching strategies, we generalize [2] by considering that we have two different types of traffic.
At Caltech, Dr. Barry Simon, the mathematics department's executive officer, or department chairman, said, "A number of times he took problems in mathematical analysis that were considered impossibly difficult and invented an entirely new way of looking at them".
Since the mathematical complexity of this model is much greater than population-based models, mathematical analysis (such as considering the dynamical capabilities of individual channels) becomes intractable.
For simplifying the mathematical analysis, here we consider waveforms of m = 10 tasks and analyze tRA as a function of n.
Subsequently, mathematical analysis has been performed considering the reaction between two bare ions which is activated by quark-lepton complementarily particle's interaction into the solar panel.
Moreover, the performance of CRE and eICIC schemes is studied and evaluated by system simulation results in [15], which lacks the mathematical analysis and does not consider about the configuration of CRE and eICIC.
Given the importance of the head-direction input for driving grid cell firing fields it would be natural to consider a mathematical analysis for the case with (I_{text{hd}} neq0).
Here considered is the mathematical analysis and numerical computation of the electromagnetic wave scattering by multiple cavities embedded in an infinite ground plane.
