04381nam 22008895 450 991048483770332120251226203840.03-540-31363-X10.1007/11615798(CKB)1000000000232772(SSID)ssj0000316397(PQKBManifestationID)11275354(PQKBTitleCode)TC0000316397(PQKBWorkID)10264752(PQKB)10707349(DE-He213)978-3-540-31363-2(MiAaPQ)EBC3068302(PPN)123130670(BIP)32371938(BIP)13290801(EXLCZ)99100000000023277220100323d2006 u| 0engurnn|008mamaatxtccrAutomated Deduction in Geometry 5th International Workshop, ADG 2004, Gainesville, FL, USA, September 16-18, 2004, Revised Papers /edited by Hoon Hong, Dongming Wang1st ed. 2006.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2006.1 online resource (X, 213 p.) Lecture Notes in Artificial Intelligence,2945-9141 ;3763Bibliographic Level Mode of Issuance: Monograph3-540-31332-X Includes bibliographical references and index.Mechanical Theorem Proving in Computational Geometry -- Computational Origami Construction of a Regular Heptagon with Automated Proof of Its Correctness -- Proving Geometric Theorems by Partitioned-Parametric Gröbner Bases -- Computations of the Area and Radius of Cyclic Polygons Given by the Lengths of Sides -- Symbolic Solution of a Piano Movers’ Problem with Four Parameters -- Computing Curves Bounding Trigonometric Planar Maps: Symbolic and Hybrid Methods -- Towards Solving the Dynamic Geometry Bottleneck Via a Symbolic Approach -- On the Decidability of Tracing Problems in Dynamic Geometry -- Towards a Geometric-Object-Oriented Language -- Spatial Planning and Geometric Optimization: Combining Configuration Space and Energy Methods -- nD Polyhedral Scene Reconstruction from Single 2D Line Drawing by Local Propagation -- Planar Generalized Stewart Platforms and Their Direct Kinematics.This book presents the thoroughly refereed post-proceedings of the 5th International Workshop on Automated Deduction in Geometry, ADG 2004, held at Gainesville, FL, USA in September 2004. The 12 revised full papers presented aurvey current issues theoretical and methodological topics as well as applications thereof - in particular automated geometry theorem proving, automated geometry problem solving, problems of dynamic geometry, and an object-oriented language for geometric objects.Lecture Notes in Artificial Intelligence,2945-9141 ;3763Artificial intelligenceMachine theoryComputer scienceMathematicsDiscrete mathematicsComputer graphicsPattern recognition systemsConvex geometryDiscrete geometryArtificial IntelligenceFormal Languages and Automata TheoryDiscrete Mathematics in Computer ScienceComputer GraphicsAutomated Pattern RecognitionConvex and Discrete GeometryArtificial intelligence.Machine theory.Computer scienceMathematics.Discrete mathematics.Computer graphics.Pattern recognition systems.Convex geometry.Discrete geometry.Artificial Intelligence.Formal Languages and Automata Theory.Discrete Mathematics in Computer Science.Computer Graphics.Automated Pattern Recognition.Convex and Discrete Geometry.516.00285Hong Hoon976049Wang Dongming738655International Workshop on Automated Deduction in GeometryMiAaPQMiAaPQMiAaPQBOOK9910484837703321Automated deduction in geometry4194344UNINA