LEADER 04385nam 22007455 450 001 996466086103316 005 20200701140604.0 010 $a3-540-69717-9 024 7 $a10.1007/BFb0022715 035 $a(CKB)1000000000234786 035 $a(SSID)ssj0000321531 035 $a(PQKBManifestationID)11235567 035 $a(PQKBTitleCode)TC0000321531 035 $a(PQKBWorkID)10279781 035 $a(PQKB)11510105 035 $a(DE-He213)978-3-540-69717-6 035 $a(PPN)155227130 035 $a(EXLCZ)991000000000234786 100 $a20121227d1997 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAutomated Deduction in Geometry$b[electronic resource] $eInternational Workshop on Automated Deduction in Geometry, Toulouse, France, September 27-29, 1996, Selected Papers /$fedited by Dongming Wang 205 $a1st ed. 1997. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997. 215 $a1 online resource (VII, 240 p.) 225 1 $aLecture Notes in Artificial Intelligence ;$v1360 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-64297-8 327 $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. 330 $aThis book constitutes the thoroughly refereed and revised post-workshop proceedings of the International Workshop on Automated Deduction in Geometry, held in Toulouse, France, in September 1996. The revised extended papers accepted for inclusion in the volume were selected on the basis of double reviewing. Among the topics covered are automated geometric reasoning and the deduction applied to Dixon resultants, Gröbner bases, characteristic sets, computational geometry, algebraic geometry, and planet motion; furthermore the system REDLOG is demonstrated and the verification of geometric statements as well as the automated production of proof in Euclidean Geometry are present. 410 0$aLecture Notes in Artificial Intelligence ;$v1360 606 $aComputers 606 $aProgramming languages (Electronic computers) 606 $aArtificial intelligence 606 $aMathematical logic 606 $aComputer graphics 606 $aAlgorithms 606 $aTheory of Computation$3https://scigraph.springernature.com/ontologies/product-market-codes/I16005 606 $aProgramming Languages, Compilers, Interpreters$3https://scigraph.springernature.com/ontologies/product-market-codes/I14037 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 606 $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048 606 $aComputer Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22013 606 $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018 615 0$aComputers. 615 0$aProgramming languages (Electronic computers). 615 0$aArtificial intelligence. 615 0$aMathematical logic. 615 0$aComputer graphics. 615 0$aAlgorithms. 615 14$aTheory of Computation. 615 24$aProgramming Languages, Compilers, Interpreters. 615 24$aArtificial Intelligence. 615 24$aMathematical Logic and Formal Languages. 615 24$aComputer Graphics. 615 24$aAlgorithms. 676 $a516/.00285 702 $aWang$b Dongming$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aInternational Workshop on Automated Deduction in Geometry 906 $aBOOK 912 $a996466086103316 996 $aAutomated Deduction in Geometry$9772173 997 $aUNISA