04387nam 22007455 450 991014491540332120200701140604.03-540-69717-910.1007/BFb0022715(CKB)1000000000234786(SSID)ssj0000321531(PQKBManifestationID)11235567(PQKBTitleCode)TC0000321531(PQKBWorkID)10279781(PQKB)11510105(DE-He213)978-3-540-69717-6(PPN)155227130(EXLCZ)99100000000023478620121227d1997 u| 0engurnn|008mamaatxtccrAutomated Deduction in Geometry[electronic resource] International Workshop on Automated Deduction in Geometry, Toulouse, France, September 27-29, 1996, Selected Papers /edited by Dongming Wang1st ed. 1997.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1997.1 online resource (VII, 240 p.) Lecture Notes in Artificial Intelligence ;1360Bibliographic Level Mode of Issuance: Monograph3-540-64297-8 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.Lecture Notes in Artificial Intelligence ;1360ComputersProgramming languages (Electronic computers)Artificial intelligenceMathematical logicComputer graphicsAlgorithmsTheory of Computationhttps://scigraph.springernature.com/ontologies/product-market-codes/I16005Programming Languages, Compilers, Interpretershttps://scigraph.springernature.com/ontologies/product-market-codes/I14037Artificial Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/I21000Mathematical Logic and Formal Languageshttps://scigraph.springernature.com/ontologies/product-market-codes/I16048Computer Graphicshttps://scigraph.springernature.com/ontologies/product-market-codes/I22013Algorithmshttps://scigraph.springernature.com/ontologies/product-market-codes/M14018Computers.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.Algorithms.516/.00285Wang Dongmingedthttp://id.loc.gov/vocabulary/relators/edtInternational Workshop on Automated Deduction in GeometryBOOK9910144915403321Automated Deduction in Geometry772173UNINA