We prove a conjecture of Erdos, Purdy, and Straus on the number of distinct areas of triangles determined by a set of n points in the plane. We show that if P is a set of n points...
We show that the number of straight-edge triangulations exhibited by any set of n points in general position in the plane is bounded from below by (2.33n). 2004 Elsevier B.V. All ...
A succinct series expression is derived for describing the limit distribution of the number of times r consecutive elements are all records (in a sequence of independent and ident...
In this paper the densities D(i) of prime numbers p having the least primitive root g(p) = i, where i is equal to one of the initial positive integers less than 32, have been numer...
In this paper, following the way opened by a previous paper deposited on arXiv, see[7], we give an upper bound to the number of states for a hyperbolic cellular automaton in the pe...