03333nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024002800118050001700146072001500163072001600178072002300194072002300217082001700240245020600257264006100463300003400524336002600558337002600584338003600610347002400646490010000670505066100770520069001431650002202121650005002143650001502193650002402208650002902232650002302261650001602284650002202300650002702322650005202349650004602401650004502447650002302492650001602515700002902531710003402560773002002594776003602614830010002650856004102750978-3-540-69717-6DE-He21320170515111449.0cr nn 008mamaa121227s1997 gw | s |||| 0|eng d a97835406971767 a10.1007/BFb00227152doi 4aQA75.5-76.95 7aUY2bicssc 7aUYA2bicssc 7aCOM0140002bisacsh 7aCOM0310002bisacsh04a004.015122310aAutomated Deduction in Geometryh[electronic resource] :bInternational Workshop on Automated Deduction in Geometry Toulouse, France, September 27–29, 1996 Selected Papers /cedited by Dongming Wang. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c1997. aVII, 240 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aLecture Notes in Computer Science, Lecture Notes in Artificial Intelligence,x0302-9743 ;v13600 aAutomated 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. aThis 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. 0aComputer science. 0aProgramming languages (Electronic computers). 0aComputers. 0aMathematical logic. 0aArtificial intelligence. 0aComputer graphics. 0aAlgorithms.14aComputer Science.24aTheory of Computation.24aProgramming Languages, Compilers, Interpreters.24aArtificial Intelligence (incl. Robotics).24aMathematical Logic and Formal Languages.24aComputer Graphics.24aAlgorithms.1 aWang, Dongming.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783540642978 0aLecture Notes in Computer Science, Lecture Notes in Artificial Intelligence,x0302-9743 ;v136040uhttp://dx.doi.org/10.1007/BFb0022715