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

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https://doi.org/10.1007/BFb0033653Let an algebraic group be given, acting on a vector space. We consider the problem of deciding whether a given element of the vector space lies in the closure of the orbit of another given element. We describe three methods for dealing with this problem that have appeared in the literature. We illustrate the methods by examples.

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Orbit Closures of Linear Algebraic Groups,Let an algebraic group be given, acting on a vector space. We consider the problem of deciding whether a given element of the vector space lies in the closure of the orbit of another given element. We describe three methods for dealing with this problem that have appeared in the literature. We illustrate the methods by examples.

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Atmosphere system governing equations,lications in enumerative combinatorics. Topics include geometric modeling in combinatorics, Ehrhart’s method for proving that a counting function is a polynomial, the connection between polyhedral cones, rational functions and quasisymmetric functions, methods for bounding coefficients, combinatoria

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Atmosphere system governing equations,th respect to a non-degenerate quadric, which gives us a notion of orthogonality. In particular we relate the reciprocal polar varieties to the “Euclidean 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 d