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JCT
2006
75views more  JCT 2006»
15 years 6 months ago
Sperner labellings: A combinatorial approach
In 2002, De Loera, Peterson and Su proved the following conjecture of Atanassov: let T be a triangulation of a d-dimensional polytope P with n vertices v1, v2, . . . , vn; label t...
Frédéric Meunier
IJBC
2007
57views more  IJBC 2007»
15 years 6 months ago
Nonchaotic and Chaotic Behavior in Three-Dimensional Quadratic Systems: Five-One Conservative Cases
In this paper we study the nonchaotic and chaotic behavior of all 3D conservative quadratic ODE systems with five terms on the right-hand side and one nonlinear term (5-1 systems...
Jack Heidel, Fu Zhang
CORR
2004
Springer
107views Education» more  CORR 2004»
15 years 5 months ago
Encapsulation for Practical Simplification Procedures
ACL2 was used to prove properties of two simplification procedures. The procedures differ in complexity but solve the same programming problem that arises in the context of a reso...
Olga Shumsky Matlin, William McCune
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JMIV
2010
87views more  JMIV 2010»
15 years 4 months ago
Infinite Photography: New Mathematical Model for High-Resolution Images
A new mathematical image model is introduced using the photographic process as the starting point. Images are represented as infinite sequences of photons allowing analysis at arb...
Tapio Helin, Matti Lassas, Samuli Siltanen
CORR
2010
Springer
96views Education» more  CORR 2010»
15 years 3 months ago
Stable comparison of multidimensional persistent homology groups with torsion
The present lack of a stable method to compare persistent homology groups with torsion is a relevant problem in current research about Persistent Homology and its applications in P...
Patrizio Frosini