The key element in our analysis is that the L ∞ norm of the solutions keeps finite for all finite time t.
Here, the network capacity region is characterized by the maximum network supportable flow arrival rate vectors for which the network is stable (i.e., all queues in network are kept finite).
If the coupling is kept finite, however, other topologies contribute to the partition function, and indeed it has been shown that they are combinatorially favored in the expansion to the spherical topology.
In contrast to some other driving approaches, the amount of added flux is kept finite, such that the driving subsides and the tail may also settle into a new equilibrium if the deformation is insufficient to initiate instability.
dFor the purposes of the analysis the variable γ ̃ is kept finite as the number of antennas Mn grows large, so that the system power does not grow to infinity.
So the alternative is either to keep s finite in order to have a Markovian process; then, we have to fix arbitrarily g k ( s ) and the probability distribution of V k ( s ).
Thanks to a media-aware network element (MANE) that assigns priority labels to video packets, in the proposed approach, a drop priority-based (DPB) radio link buffer management strategy [10] is used to keep a finite queue before the bottleneck link.
Ms. Schatz, an interior designer in Stony Brook, N.Y., keeps a finite number of hangers in her closet.
Deformation of the microscopic structure was uniform, and microscopic periodicity was kept under finite deformation.
A partial application of this alternative is the use of a Chebyshev expansion of the dependence in an angle variable as described in Appendix A, where one only keeps a finite number of Chebyshev moments in the representation of the amplitude.
