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Exact(14)
When sizes increase, however, they can theoretically grow to infinity.
"However, mountains don't grow to infinity, so there must be another mechanism which has lowered the summit of Europe.
If the initial status Q → ( 0 ) is not infinity, then the queue lengths will not grow to infinity, which proves the stability of BA-MW-PCC.
To make derivations possible, the asymptotic regime, where all the system dimensions grow to infinity with a constant pace, has been considered.
Intuitively, if the mean arrival rate vector ⋀ → is located in the physical layer rate region, there must be a transmit rate vector R → larger than ⋀ →, so that the queue cannot grow to infinity.
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.
Similar(46)
Nothing grows to infinity.
To prevent constraint violation, we employ a Barrier Lyapunov Function, which grows to infinity when its arguments approach some limits.
As this ratio grows to infinity, the phase portrait changes and the process approaches a batch behaviour so that the stability analysis for that case may be applied.
First, when all the states are subjected to constraints, we employ a Barrier Lyapunov Function (BLF), which grows to infinity whenever its arguments approach some finite limits, to prevent the states from violating the constraints.
When the graph is complete and the numbers of particles grows to infinity, the system is well-described by a McKean-Vlasov equation, which describes the behavior of one typical particle.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com