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Automated Deduction in Geometry [electronic resource] :International Workshop on Automated Deduction in Geometry Toulouse, France, September 27–29, 1996 Selected Papers /

Contributor(s): Wang, Dongming [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Computer Science, Lecture Notes in Artificial Intelligence: 1360Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997.Description: VII, 240 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540697176.Subject(s): Computer science | Programming languages (Electronic computers) | Computers | Mathematical logic | Artificial intelligence | Computer graphics | Algorithms | Computer Science | Theory of Computation | Programming Languages, Compilers, Interpreters | Artificial Intelligence (incl. Robotics) | Mathematical Logic and Formal Languages | Computer Graphics | AlgorithmsOnline resources: Click here to access online
Contents:
Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets -- Extended Dixon's resultant and its applications -- Computational geometry problems in REDLOG -- Probabilistic verification of elementary geometry statements -- Computational synthetic geometry with Clifford algebra -- Clifford algebraic calculus for geometric reasoning -- Area in Grassmann geometry -- Automated production of readable proofs for theorems in non-Euclidean geometries -- Points on algebraic curves and the parametrization problem -- Flat central configurations of four planet motions -- Integration of reasoning and algebraic calculus in geometry.
In: Springer eBooksSummary: This book constitutes the thoroughly refereed and revised post-workshop proceedings of the International Workshop on Automated Deduction in Geometry, held in Toulouse, France, in September 1996. The revised extended papers accepted for inclusion in the volume were selected on the basis of double reviewing. Among the topics covered are automated geometric reasoning and the deduction applied to Dixon resultants, Gröbner bases, characteristic sets, computational geometry, algebraic geometry, and planet motion; furthermore the system REDLOG is demonstrated and the verification of geometric statements as well as the automated production of proof in Euclidean Geometry are present.
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Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets -- Extended Dixon's resultant and its applications -- Computational geometry problems in REDLOG -- Probabilistic verification of elementary geometry statements -- Computational synthetic geometry with Clifford algebra -- Clifford algebraic calculus for geometric reasoning -- Area in Grassmann geometry -- Automated production of readable proofs for theorems in non-Euclidean geometries -- Points on algebraic curves and the parametrization problem -- Flat central configurations of four planet motions -- Integration of reasoning and algebraic calculus in geometry.

This book constitutes the thoroughly refereed and revised post-workshop proceedings of the International Workshop on Automated Deduction in Geometry, held in Toulouse, France, in September 1996. The revised extended papers accepted for inclusion in the volume were selected on the basis of double reviewing. Among the topics covered are automated geometric reasoning and the deduction applied to Dixon resultants, Gröbner bases, characteristic sets, computational geometry, algebraic geometry, and planet motion; furthermore the system REDLOG is demonstrated and the verification of geometric statements as well as the automated production of proof in Euclidean Geometry are present.

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