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ISSAC
2004
Springer
98views Mathematics» more  ISSAC 2004»
14 years 22 days ago
Symbolic summation with single-nested sum extensions
We present a streamlined and refined version of Karr’s summation algorithm. Karr’s original approach constructively decides the telescoping problem in ΠΣ-fields, a very ge...
Carsten Schneider
ALS
2003
Springer
14 years 18 days ago
Not Everything We Know We Learned
This is foremost a methodological contribution. It focuses on the foundation of anticipation and the pertinent implications that anticipation has on learning (theory and experiment...
Mihai Nadin
AISC
1998
Springer
13 years 11 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
CORR
2006
Springer
79views Education» more  CORR 2006»
13 years 7 months ago
On the structure of generalized toric codes
Toric codes are obtained by evaluating rational functions of a nonsingular toric variety at the algebraic torus. One can extend toric codes to the so called generalized toric code...
Diego Ruano
GIS
2010
ACM
13 years 5 months ago
Tolerance geometry: Euclid's first postulate for points and lines with extension
Object representation and reasoning in vector based geographic information systems (GIS) is based on Euclidean geometry. Euclidean geometry is built upon Euclid's first postu...
Gwen Wilke, Andrew U. Frank