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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

  • Conference proceedings
  • © 2005

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Editors:
  1. Hongbo Li

    1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, CAS, Beijing, P.R. China

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  2. Peter J. Olver

    1. School of Mathematics, University of Minnesota, Minneapolis, U.S.A.

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  3. Gerald Sommer

    1. Institute of Computer Science, Christian-Albrecht-University, Kiel, Germany

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 3519)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

Included in the following conference series:

Conference proceedings info: IWMM 2004, GIAE 2004.

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About this book

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.

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Table of contents (30 papers)

  1. Front Matter

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  2. Computer Algebra and Applications

    1. On Wintner’s Conjecture About Central Configurations

      • Wen-tsun Wu
      Pages 1-4

    2. Polynomial General Solutions for First Order Autonomous ODEs

      • Ruyong Feng, Xiao-Shan Gao
      Pages 5-17

    3. The Newton Polygon Method for Differential Equations

      • José Cano
      Pages 18-30

    4. Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems

      • Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Chad Schmitke, John McPhee
      Pages 31-43

    5. Hybrid Method for Solving New Pose Estimation Equation System

      • Greg Reid, Jianliang Tang, Jianping Yu, Lihong Zhi
      Pages 44-55

    6. Some Necessary Conditions on the Number of Solutions for the P4P Problem

      • Jianliang Tang
      Pages 56-64

    7. A Generalization of Xie-Nie Stability Criterion

      • Xiaorong Hou, Xuemin Wang
      Pages 65-71

    8. Formal Power Series and Loose Entry Formulas for the Dixon Matrix

      • Wei Xiao, Eng-Wee Chionh
      Pages 72-82

    9. Constructive Theory and Algorithm for Blending Several Implicit Algebraic Surfaces

      • Yurong Li, Na Lei, Shugong Zhang, Guochen Feng
      Pages 83-96

    10. Minimum-Cost Optimization in Multicommodity Logistic Chain Network

      • Hongxia Li, Shuicheng Tian, Yuan Pan, Xiao Zhang, Xiaochen Yu
      Pages 97-104

    11. A Survey of Moving Frames

      • Peter J. Olver
      Pages 105-138

    12. Invariant Geometric Motions of Space Curves

      • Changzheng Qu
      Pages 139-151

    13. Classification of Signature Curves Using Latent Semantic Analysis

      • Cheri Shakiban, Ryan Lloyd
      Pages 152-162

    14. Hamiltonian System and Algebro-Geometric Solution Associated with Dispersive Long Wave Equation

      • Engui Fan
      Pages 163-178

    15. The Painlevé Test of Nonlinear Partial Differential Equations and Its Implementation Using Maple

      • Gui-qiong Xu, Zhi-bin Li
      Pages 179-190

  3. Geometric Algebra and Applications

    1. Hybrid Matrix Geometric Algebra

      • Garret Sobczyk, Gordon Erlebacher
      Pages 191-206

    2. Intrinsic Differential Geometry with Geometric Calculus

      • Hongbo Li, Lina Cao, Nanbin Cao, Weikun Sun
      Pages 207-216

    3. On Miquel’s Five-Circle Theorem

      • Hongbo Li, Ronghua Xu, Ning Zhang
      Pages 217-228

    4. On Averaging in Clifford Groups

      • Sven Buchholz, Gerald Sommer
      Pages 229-238
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Other volumes

  1. Computer Algebra and Geometric Algebra with Applications

Editors and Affiliations

  • Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, CAS, Beijing, P.R. China

    Hongbo Li

  • School of Mathematics, University of Minnesota, Minneapolis, U.S.A.

    Peter J. Olver

  • Institute of Computer Science, Christian-Albrecht-University, Kiel, Germany

    Gerald Sommer

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