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» On sets not belonging to algebras
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RELMICS
2009
Springer
14 years 6 days ago
Foundations of Concurrent Kleene Algebra
Abstract. A Concurrent Kleene Algebra offers two composition operators, one that stands for sequential execution and the other for concurrent n [10]. In this paper we investigate ...
C. A. R. Hoare, Bernhard Möller, Georg Struth...
CIE
2009
Springer
13 years 11 months ago
Spectra of Algebraic Fields and Subfields
An algebraic field extension of Q or Z/(p) may be regarded either as a structure in its own right, or as a subfield of its algebraic closure F (either Q or Z/(p)). We consider the ...
Andrey Frolov, Iskander Sh. Kalimullin, Russell Mi...
AB
2008
Springer
13 years 9 months ago
Differential Algebra and System Modeling in Cellular Biology
Abstract. Among all the modeling approaches dedicated to cellular biology, differential algebra is particularly related to the well-established one based on nonlinear differential ...
François Boulier, François Lemaire
SODA
2008
ACM
106views Algorithms» more  SODA 2008»
13 years 9 months ago
Exact and efficient 2D-arrangements of arbitrary algebraic curves
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
Arno Eigenwillig, Michael Kerber
CORR
2011
Springer
180views Education» more  CORR 2011»
13 years 2 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