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SIAMDM
2008
110views more  SIAMDM 2008»
13 years 10 months ago
The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
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...
Rom Pinchasi
COMGEO
2004
ACM
13 years 10 months ago
A lower bound on the number of triangulations of planar point sets
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 ...
Oswin Aichholzer, Ferran Hurtado, Marc Noy
RSA
2000
95views more  RSA 2000»
13 years 10 months ago
Distribution of the number of consecutive records
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...
Hua-Huai Chern, Hsien-Kuei Hwang, Yeong-Nan Yeh
MOC
2002
104views more  MOC 2002»
13 years 10 months ago
Numerical calculation of the density of prime numbers with a given least primitive root
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...
A. Paszkiewicz, Andrzej Schinzel
CORR
2010
Springer
77views Education» more  CORR 2010»
13 years 10 months ago
An upper bound on the number of states for a strongly universal hyperbolic cellular automaton on the pentagrid
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...
Maurice Margenstern