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» On sets not belonging to algebras
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RELMICS
2009
Springer
15 years 4 months 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
15 years 3 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
15 years 1 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»
15 years 1 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»
14 years 6 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