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COMBINATORICS
2007
66views more  COMBINATORICS 2007»
15 years 3 months ago
The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor
We show that the generating function (in n) for the number of walks on the square lattice with steps (1, 1), (1, −1), (2, 2) and (2, −2) from (0, 0) to (2n, 0) in the region 0...
Arvind Ayyer, Doron Zeilberger
MCSS
2008
Springer
15 years 3 months ago
Weakly coprime factorization and state-feedback stabilization of discrete-time systems
Abstract: The LQ-optimal state feedback of a finite-dimensional linear time-invariant system determines a coprime factorization NM-1 of the transfer function. We show that the same...
Kalle M. Mikkola
APAL
2000
61views more  APAL 2000»
15 years 3 months ago
Higher type recursion, ramification and polynomial time
It is shown how to restrict recursion on notation in all finite types so as to characterize the polynomial time computable functions. The restrictions are obtained by using a rami...
Stephen J. Bellantoni, Karl-Heinz Niggl, Helmut Sc...
IPL
2007
104views more  IPL 2007»
15 years 3 months ago
A linear-time algorithm for Euclidean feature transform sets
The Euclidean distance transform of a binary image is the function that assigns to every pixel the Euclidean distance to the background. The Euclidean feature transform is the fun...
Wim H. Hesselink
SIAMSC
2008
92views more  SIAMSC 2008»
15 years 2 months ago
A Novel Pricing Method for European Options Based on Fourier-Cosine Series Expansions
Here we develop an option pricing method for European options based on the Fourier-cosine series, and call it the COS method. The key insight is in the close relation of the charac...
F. Fang, Cornelis W. Oosterlee