Thus, the purpose of the present article is to provide a complex-analytic proof of the criterion for and to compare it with that for given in [7].
From the definition of G 1 ( t, s ), we can know that, for given s ∈ ( 0, 1 ), G 1 ( t, s ) is increasing with respect to t for t ∈ J.
He shows, for example, that for given line segments a and b the parabola corresponds to the relation (in modern notation) y2 = ax, the ellipse to y2 = ax − ax2/b, and the hyperbola to y2 = ax + ax2/b.
It is shown that, for given boundary conditions, there exists a unique response velocity dependence function.
Now, proceed by complete induction by assuming that for given sufficiently large and finite.
It is shown that for given initial conditions its value divides modes of active interaction and quasi-stationary evolution.
Moreover, it was observed that for given curing conditions thermo-degradation patterns differed considerably according to the wood species.
Note that for given values, we can use a fixed point iteration algorithm to find a unique power vector with.
This high- and low- behaviors indicate that for given,, and, the MSE can be minimized by proper selection of.
It follows that, for given c 22,c 23,c 33, system (6 - 8) has unique solutions α,p,h.
Notice that for given,,,, the update for each sensing node is deterministic, no matter what the channel condition is.
