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El. knyga: Computer Algebra and Geometric Algebra with Applications: 6th International Workshop, IWMM 2004, Shanghai, China, May 19-21, 2004 and International Workshop, GIAE 2004, Xian, China, May 24-28, 2004.Revised Selected Papers

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  • Formatas: PDF+DRM
  • Serija: Lecture Notes in Computer Science 3519
  • Išleidimo metai: 20-Jun-2005
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Kalba: eng
  • ISBN-13: 9783540321194
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  • Formatas: PDF+DRM
  • Serija: Lecture Notes in Computer Science 3519
  • Išleidimo metai: 20-Jun-2005
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Kalba: eng
  • ISBN-13: 9783540321194
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MathematicsMechanization consistsoftheory,softwareandapplicationofc- puterized mathematical activities such as computing, reasoning and discovering. ItsuniquefeaturecanbesuccinctlydescribedasAAA(Algebraization,Algori- mization, Application). The name “Mathematics Mechanization” has its origin in the work of Hao Wang (1960s), one of the pioneers in using computers to do research in mathematics, particularly in automated theorem proving. Since the 1970s, this research direction has been actively pursued and extensively dev- oped by Prof. Wen-tsun Wu and his followers. It di ers from the closely related disciplines like Computer Mathematics, Symbolic Computation and Automated Reasoning in that its goal is to make algorithmic studies and applications of mathematics the major trend of mathematics development in the information age. The International Workshop on Mathematics Mechanization (IWMM) was initiated by Prof. Wu in 1992, and has ever since been held by the Key L- oratory of Mathematics Mechanization (KLMM) of the Chinese Academy of Sciences. There have been seven workshops of the series up to now. At each workshop, several experts are invited to deliver plenary lectures on cutting-edge methods and algorithms of the selected theme. The workshop is also a forum for people working on related subjects to meet, collaborate and exchange ideas.
Computer Algebra and Applications.- On Wintners Conjecture About
Central Configurations.- Polynomial General Solutions for First Order
Autonomous ODEs.- The Newton Polygon Method for Differential Equations.-
Implicit Reduced Involutive Forms and Their Application to Engineering
Multibody Systems.- Hybrid Method for Solving New Pose Estimation Equation
System.- Some Necessary Conditions on the Number of Solutions for the P4P
Problem.- A Generalization of Xie-Nie Stability Criterion.- Formal Power
Series and Loose Entry Formulas for the Dixon Matrix.- Constructive Theory
and Algorithm for Blending Several Implicit Algebraic Surfaces.- Minimum-Cost
Optimization in Multicommodity Logistic Chain Network.- A Survey of Moving
Frames.- Invariant Geometric Motions of Space Curves.- Classification of
Signature Curves Using Latent Semantic Analysis.- Hamiltonian System and
Algebro-Geometric Solution Associated with Dispersive Long Wave Equation.-
The Painlevé Test of Nonlinear Partial Differential Equations and Its
Implementation Using Maple.- Geometric Algebra and Applications.- Hybrid
Matrix Geometric Algebra.- Intrinsic Differential Geometry with Geometric
Calculus.- On Miquels Five-Circle Theorem.- On Averaging in Clifford
Groups.- Combinatorics and Representation Theory of Lie Superalgebras over
Letterplace Superalgebras.- Applications of Geometric Algebra in Robot
Vision.- Twists An Operational Representation of Shape.- Recent
Applications of Conformal Geometric Algebra.- Applications of Conformal
Geometric Algebra in Computer Vision and Graphics.- Conic Sections and Meet
Intersections in Geometric Algebra.- nD Object Representation and Detection
from Single 2D Line Drawing.- Polyhedral Scene Analysis Combining Parametric
Propagation with Calotte Analysis.- AUnified and Complete Framework of
Invariance for Six Points.- An Introduction to Logical Animation.- Recent
Methods for Reconstructing Surfaces from Multiple Images.