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In , Aldous shows that, with infinite-node and Poisson arrival assumptions, BEB is unstable in the sense that N(t)/t converges to zero as t goes to infinity
for any non-zero arrival rate, where N(t) is the number of the successful transmissions made during the time [0,t].
Once Cantor had shown that the real numbers make up a bigger infinity
than the counting numbers do, he saw no reason to stop there.
Premier was a wholly owned subsidiary of Infinity
, whose ultimate parent is Infinity
Property & Casualty Corporation NASDAQ: IPCC .