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Titlebook: Computer Algebra and Polynomials; Applications of Alge Jaime Gutierrez,Josef Schicho,Martin Weimann Book 2015 Springer International Publis

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Polar Varieties Revisited,dean geometry” in projective space. The Euclidean distance degree and the degree of the focal loci can be expressed in terms of the ranks, i.e., the degrees of the classical polar varieties, and hence these characters can be found also for singular varieties, when one can express the ranks in terms of the singularities.
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Some Results on the Surjectivity of Surface Parametrizations,uting a superset of the points not covered by the parametrization. In this context, we report on the case of parametrizations without projective base points and we analyze the particular case of rational ruled surfaces.
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Book 2015ong time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life..This book focuses on the theory and algorithms for polynomials over various coeffici
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Atmosphere system governing equations,l reciprocity theorems, algorithms for counting integer points in polyhedra and computing rational function representations, as well as visualizations of the greatest common divisor and the Euclidean algorithm.
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Moving Curve Ideals of Rational Plane Parametrizations,er Aided Geometric Design Community. The analysis of the validity of these techniques has been a fruitful ground for Commutative Algebraists and Algebraic Geometers, and several results have been obtained so far. Yet, a lot of research is still being done currently around this topic. In this note we
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