Titlebook: Automated Deduction in Geometry; International Worksh Dongming Wang Conference proceedings 1997 Springer-Verlag Berlin Heidelberg 1997 Area

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978-3-540-64297-8Springer-Verlag Berlin Heidelberg 1997

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Gie?ener Gyn?kologische Fortbildung 1985Three different methods for automated geometry theorem proving—a generalized version of Dixon resultants, Gr?bner bases and characteristic sets—are reviewed. The main focus is, however, on the use of the generalized Dixon resultant formulation for solving geometric problems and determining geometric quantities.

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Hysterektomie — Gro?zügige Indikation?In this survey paper we give the basic properties of Grassmann algebras, present a generalised theory of area from a Grassmann algebra perspective, present a version for Grassmann algebras of the Buchberger algorithm, and give examples of computation and deduction in Grassmann geometry.

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,Automated geometric reasoning: Dixon resultants, Gr?bner bases, and characteristic sets,Three different methods for automated geometry theorem proving—a generalized version of Dixon resultants, Gr?bner bases and characteristic sets—are reviewed. The main focus is, however, on the use of the generalized Dixon resultant formulation for solving geometric problems and determining geometric quantities.

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https://doi.org/10.1007/978-3-642-70844-2. However, the method only works for systems of . + 1 generic .-degree polynomials in n variables and does not work for most algebraic and geometric problems. In this paper, by using techniques from pseudoinverse theory and linear transformations, the author extends Dixon‘s resultant method to an ar

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Gie?ener Gyn?kologische Fortbildung 1985anning. The problems include parallel and central projection problems, shade and cast shadow problems, reconstruction of objects from images, offsets of objects, Voronoi diagrams of a finite family of objects, and collision of moving objects. Our tools are real elimination algorithms implemented in

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