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» On numbers of Davenport-Schinzel sequences
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BMCBI
2007
154views more  BMCBI 2007»
13 years 7 months ago
Bounds on the distribution of the number of gaps when circles and lines are covered by fragments: Theory and practical applicati
Background: The question of how a circle or line segment becomes covered when random arcs are marked off has arisen repeatedly in bioinformatics. The number of uncovered gaps is o...
John Moriarty, Julian R. Marchesi, Anthony Metcalf...
AAECC
2002
Springer
132views Algorithms» more  AAECC 2002»
13 years 7 months ago
Lattice Structure and Linear Complexity of Nonlinear Pseudorandom Numbers
It is shown that a q-periodic sequence over the finite field Fq passes an extended version of Marsaglia's lattice test for high dimensions if and only if its linear complexity...
Harald Niederreiter, Arne Winterhof
RSA
1998
49views more  RSA 1998»
13 years 7 months ago
Normal approximations of the number of records in geometrically distributed random variables
We establish the asymptotic normality of the number of upper records in a sequence of iid geometric random variables. Large deviations and local limit theorems as well as approxim...
Zhi-Dong Bai, Hsien-Kuei Hwang, Wen-Qi Liang
RSA
2000
95views more  RSA 2000»
13 years 7 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
CCCG
2008
13 years 8 months ago
Computing Dehn Twists and Geometric Intersection Numbers in Polynomial Time
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, there are much more succinct ways of representing simple curves used i...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic