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» On the decomposition of rational functions
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MOC
1998
147views more  MOC 1998»
14 years 9 months ago
On the Diophantine equation |axn - byn | = 1
If a, b and n are positive integers with b ≥ a and n ≥ 3, then the equation of the title possesses at most one solution in positive integers x and y, with the possible exceptio...
Michael A. Bennett, Benjamin M. M. de Weger
SAGT
2010
Springer
200views Game Theory» more  SAGT 2010»
14 years 8 months ago
2-Player Nash and Nonsymmetric Bargaining Games: Algorithms and Structural Properties
The solution to a Nash or a nonsymmetric bargaining game is obtained by maximizing a concave function over a convex set, i.e., it is the solution to a convex program. We show that...
Vijay V. Vazirani
SYNTHESE
2010
97views more  SYNTHESE 2010»
14 years 8 months ago
The analytic-synthetic distinction and the classical model of science: Kant, Bolzano and Frege
This paper concentrates on some aspects of the history of the analytic-synthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also ...
Willem R. de Jong
99
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CORR
2010
Springer
152views Education» more  CORR 2010»
14 years 7 months ago
Power Allocation and Spectrum Sharing in Multi-User, Multi-Channel Systems with Strategic Users
We consider the decentralized power allocation and spectrum sharing problem in multi-user, multichannel systems with strategic users. We present a mechanism/game form that has the...
Ali Kakhbod, Demosthenis Teneketzis
CORR
2011
Springer
180views Education» more  CORR 2011»
14 years 4 months ago
Commutative Algebra of Statistical Ranking
A model for statistical ranking is a family of probability distributions whose states are orderings of a xed nite set of items. We represent the orderings as maximal chains in a ...
Bernd Sturmfels, Volkmar Welker