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» Multidimensional Ehrhart Reciprocity
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JCT
2002
83views more  JCT 2002»
13 years 4 months ago
Multidimensional Ehrhart Reciprocity
In [1], the author generalized Ehrhart's idea ([2]) of counting lattice points in dilated rational polytopes: Given a rational polytope, that is, a polytope with rational vert...
Matthias Beck
COMBINATORICS
1999
139views more  COMBINATORICS 1999»
13 years 4 months ago
A Closer Look at Lattice Points in Rational Simplices
Abstract. We generalize Ehrhart's idea ([Eh]) of counting lattice points in dilated rational polytopes: Given a rational simplex, that is, an n-dimensional polytope with n + 1...
Matthias Beck
ESANN
2004
13 years 6 months ago
Dimensionality reduction and classification using the distribution mapping exponent
: Probability distribution mapping function, which maps multivariate data distribution to the function of one variable, is introduced. Distributionmapping exponent (DME) is somethi...
Marcel Jirina
CADE
2009
Springer
14 years 5 months ago
A Generalization of Semenov's Theorem to Automata over Real Numbers
Abstract This work studies the properties of finite automata recognizing vectors with real components, encoded positionally in a given integer numeration base. Such automata are us...
Bernard Boigelot, Jérôme Leroux, Juli...