We derived the necessary and sufficient conditions that the distributions have to satisfy so as to yield the optimal linear classifier as a pair of straight lines.
If , then the points of the set satisfy so that is a set of best proximity points in of the self-maps and of.
(1) If the receiver corresponding to is the desired receiver of and is fixed, then we could require to satisfy so that can be received with unit gain.
Those activities and steps can also be interpreted as requirements an SNS has to satisfy so that it is possible to apply the approach we propose.
It is worth pointing out that we provide here a unified approach what conditions the potentials V ( x ) and K ( x ) should satisfy so that problem (1.1) and problem (1.5) have ground and bound state solutions, respectively.
Our aim is to find the necessary as well as sufficient conditions a spectral data must satisfy so that the corresponding matrix polynomial is the symbol function of a compactly supported, symmetric multiscaling function (varPhi (x)).
