We consider the wave equation damped by a nonlinear boundary velocity feedback q(ut). First we consider the case where q has a linear growth at infinity. We prove that the usual de...
Erdos posed the problem of how many random subsets need to be chosen from a set of n elements, each element appearing in each subset with probability p = 1/2, in order that at lea...
Let Tn denote the set of unrooted labeled trees of size n and let M be a particular (finite, unlabeled) tree. Assuming that every tree of Tn is equally likely, it is shown that the...