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.
Author(s): Wen-tsun Wu (auth.), Hongbo Li, Peter J. Olver, Gerald Sommer (eds.)
Series: Lecture Notes in Computer Science 3519 : Theoretical Computer Science and General Issues
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2005
Language: English
Pages: 449
Tags: Algorithm Analysis and Problem Complexity; Numeric Computing; Computer Graphics; Image Processing and Computer Vision; Artificial Intelligence (incl. Robotics); Computational Science and Engineering
Front Matter....Pages -
On Wintner’s Conjecture About Central Configurations....Pages 1-4
Polynomial General Solutions for First Order Autonomous ODEs....Pages 5-17
The Newton Polygon Method for Differential Equations....Pages 18-30
Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems....Pages 31-43
Hybrid Method for Solving New Pose Estimation Equation System....Pages 44-55
Some Necessary Conditions on the Number of Solutions for the P 4 P Problem....Pages 56-64
A Generalization of Xie-Nie Stability Criterion....Pages 65-71
Formal Power Series and Loose Entry Formulas for the Dixon Matrix....Pages 72-82
Constructive Theory and Algorithm for Blending Several Implicit Algebraic Surfaces....Pages 83-96
Minimum-Cost Optimization in Multicommodity Logistic Chain Network....Pages 97-104
A Survey of Moving Frames....Pages 105-138
Invariant Geometric Motions of Space Curves....Pages 139-151
Classification of Signature Curves Using Latent Semantic Analysis....Pages 152-162
Hamiltonian System and Algebro-Geometric Solution Associated with Dispersive Long Wave Equation....Pages 163-178
The Painlevé Test of Nonlinear Partial Differential Equations and Its Implementation Using Maple....Pages 179-190
Hybrid Matrix Geometric Algebra....Pages 191-206
Intrinsic Differential Geometry with Geometric Calculus....Pages 207-216
On Miquel’s Five-Circle Theorem....Pages 217-228
On Averaging in Clifford Groups....Pages 229-238
Combinatorics and Representation Theory of Lie Superalgebras over Letterplace Superalgebras....Pages 239-257
Applications of Geometric Algebra in Robot Vision....Pages 258-277
Twists – An Operational Representation of Shape....Pages 278-297
Recent Applications of Conformal Geometric Algebra....Pages 298-328
Applications of Conformal Geometric Algebra in Computer Vision and Graphics....Pages 329-349
Conic Sections and Meet Intersections in Geometric Algebra....Pages 350-362
n D Object Representation and Detection from Single 2D Line Drawing....Pages 363-382
Polyhedral Scene Analysis Combining Parametric Propagation with Calotte Analysis....Pages 383-402
A Unified and Complete Framework of Invariance for Six Points....Pages 403-417
An Introduction to Logical Animation....Pages 418-428
Recent Methods for Reconstructing Surfaces from Multiple Images....Pages 429-447
Back Matter....Pages -
