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ENTCS
2006
161views more  ENTCS 2006»
13 years 5 months ago
Algebraic Specification and Coalgebraic Synthesis of Mealy Automata
We introduce the notion of functional stream derivative, generalising the notion of input derivative of rational expressions (Brzozowski 1964) to the case of stream functions over...
Jan J. M. M. Rutten
GIS
2005
ACM
14 years 6 months ago
Use of rational numbers in the design of robust geometric primitives for three-dimensional spatial database systems
A necessary step in the implementation of three-dimensional spatial data types for spatial database systems and GIS is the development of robust geometric primitives. The authors ...
Brian E. Weinrich, Markus Schneider
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
13 years 11 months ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang
AISC
1998
Springer
13 years 9 months ago
Real Parametrization of Algebraic Curves
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization....
J. Rafael Sendra, Franz Winkler
MP
2010
150views more  MP 2010»
13 years 1 days ago
The algebraic degree of semidefinite programming
Given a generic semidefinite program, specified by matrices with rational entries, each coordinate of its optimal solution is an algebraic number. We study the degree of the minima...
Jiawang Nie, Kristian Ranestad, Bernd Sturmfels