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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 / / edited by Dongming Wang



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Titolo: Automated Deduction in Geometry [[electronic resource] ] : International Workshop on Automated Deduction in Geometry, Toulouse, France, September 27-29, 1996, Selected Papers / / edited by Dongming Wang Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997
Edizione: 1st ed. 1997.
Descrizione fisica: 1 online resource (VII, 240 p.)
Disciplina: 516/.00285
Soggetto topico: Computers
Programming languages (Electronic computers)
Artificial intelligence
Mathematical logic
Computer graphics
Algorithms
Theory of Computation
Programming Languages, Compilers, Interpreters
Artificial Intelligence
Mathematical Logic and Formal Languages
Computer Graphics
Persona (resp. second.): WangDongming
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Automated Deduction in Geometry  Visualizza cluster
ISBN: 3-540-69717-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466086103316
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Serie: Lecture Notes in Artificial Intelligence ; ; 1360