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COMPGEOM
2005
ACM
15 years 9 months ago
Hadwiger and Helly-type theorems for disjoint unit spheres in R3
Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen
CORR
2007
Springer
119views Education» more  CORR 2007»
15 years 7 months ago
Hadwiger and Helly-type theorems for disjoint unit spheres
Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...
CORR
2007
Springer
133views Education» more  CORR 2007»
15 years 7 months ago
On Decidability Properties of Local Sentences
Local (first order) sentences, introduced by Ressayre, enjoy very nice decidability properties, following from some stretching theorems stating some remarkable links between the ...
Olivier Finkel
AUTOMATICA
2007
93views more  AUTOMATICA 2007»
15 years 7 months ago
Development of omni-directional correlation functions for nonlinear model validation
In the present study a set of first order correlation functions are proposed to examine the quality of a wide class of identified nonlinear models. The first order correlation ...
Quan Min Zhu, Li Feng Zhang, Ashley Longden
CORR
2007
Springer
141views Education» more  CORR 2007»
15 years 7 months ago
Acyclicity of Preferences, Nash Equilibria, and Subgame Perfect Equilibria: a Formal and Constructive Equivalence
Abstract. Sequential game and Nash equilibrium are basic key concepts in game theory. In 1953, Kuhn showed that every sequential game has a Nash equilibrium. The two main steps of ...
Stéphane Le Roux