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COMBINATORICS
2007
66views more  COMBINATORICS 2007»
15 years 6 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
JSYML
2008
69views more  JSYML 2008»
15 years 6 months ago
Aronszajn lines and the club filter
The purpose of this note is to demonstrate that a weak form of club guessing on 1 implies the existence of an Aronszajn line with no Countryman suborders. An immediate consequence ...
Justin Tatch Moore
SCL
2008
105views more  SCL 2008»
15 years 6 months ago
Computation of nonlinear balanced realization and model reduction based on Taylor series expansion
In this paper a computational algorithm for nonlinear balanced realization and model reduction based on Taylor series expansion is proposed. This algorithm requires recursive comp...
Kenji Fujimoto, Daisuke Tsubakino
JSYML
1998
68views more  JSYML 1998»
15 years 6 months ago
Pseudo-Superstructures as Nonstandard Universes
A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard ...
Mauro Di Nasso
MOC
1998
72views more  MOC 1998»
15 years 6 months ago
Interpolation correction for collocation solutions of Fredholm integro-differential equations
In this paper we discuss the collocation method for a large class of Fredholm linear integro-differential equations. It will be shown that, when a certain higher order interpolati...
Qiya Hu