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» On a Generalization of the Stone-Weierstrass Theorem
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COMPGEOM
2007
ACM
15 years 5 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
AMAI
2006
Springer
15 years 1 months ago
A generalization of the Lin-Zhao theorem
The theorem on loop formulas due to Fangzhen Lin and Yuting Zhao shows how to turn a logic program into a propositional formula that describes the program's stable models. In...
Paolo Ferraris, Joohyung Lee, Vladimir Lifschitz
TIT
2008
87views more  TIT 2008»
15 years 1 months ago
Coding Theorems on the Threshold Scheme for a General Source
In this paper, coding theorems on the (t; m)-threshold scheme for a general source are discussed, where m means the number of the shares and t means a threshold. The (t; m)-thresho...
Hiroki Koga
139
Voted
EUSFLAT
2009
171views Fuzzy Logic» more  EUSFLAT 2009»
14 years 11 months ago
Convergence Theorems for Generalized Random Variables and Martingales
We examine generalizations of random variables and martingales. We prove a new convergence theorem for setvalued martingales. We also generalize a well known characterization of se...
Andrew L. Pinchuck
142
Voted
MCSS
2007
Springer
15 years 1 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic