The paper shows the practical possibility of implementing random number generators on field programmable gate arrays (FPGA) by combining various physically unclonable functions. A compact and scalable scheme a digital source based an asynchronous flip-flop D-type is proposed, which combines characteristics static memory functions ring oscillator Unlike existing generators, proposed can be used ...

All those thinking about buying stocks on one of the national Stock Exchanges should consider consulting w ith one of the experts, Notre Dame’s assistant profes­ sor of finance, Robert Battalio. Battalio and two col­ leagues at Indiana University recently surprised in ­ vestors nationwide w ith the ir study exam ining p ro ­ gram s in Boston and on the C in c in n a ti reg io n a l exchange. St...

Let Card denote the class of infinite cardinals and Reg the class of infinite regular cardinals. The continuum function on regulars is the function κ 7→ 2, defined on Reg. This function C has the following two properties: α ≤ β → C(α) ≤ C(β) and α < cof (C(α)). Easton [2] showed that, assuming GCH, any function F : Reg → Card with these two properties (any “Easton function”) is the continuum fu...

We consider the effect on the length of the game of Cops and Robbers when more cops are added to the game play. In Overprescribed Cops and Robbers, as more cops are added, the capture time (the minimum length of the game assuming optimal play) monotonically decreases. We give the full range of capture times for any number of cops on trees, and classify the capture time for an asymptotic number ...