ASCM’95
副标题：
ASCM’95
August 18-20, 1995,
Proceedings of ASCM'95
He Shi and Hidetsune Kobayashi (Eds.)
Scientists Incorporated
Tokyo, Japan.
PREFACE
On January 21-22,1994,it was held in Tokyo, Japan, the Winter Workshop on Computer Algebra. Owning to the importance of the subject-related matter it was suggested at that time that such workshops should be extended to a regular series of symposia over the Asian area. Moreover, the main topics of such symposia should include, besides computer algebra, computational geometry and other related subjects. It was thus proposed that the symposia would bear the name Computer Mathematics, both reflecting the present status and promoting the development of mathematics to cope with the rapid pace of the computer era.
The proposal was soon realize. Thus, the first Asian symposium on Computer Mathematics, ASCM’95, was held on August 18-20, 1995 at Beijing, China. Sponsored by Mathematics Mechanization Research Center (MMRC) and Japanese Symposium on Symbolic and Algebraic Computations (JSSAC), ASCM is an international forum for the exchange lf ideas and techniques for studying mathematics by computer. Topics of the symposium include: symbolic computation mechanical theorem proving, computational geometry, combined symbolic-numeric method and software design. More than fourty mathematicians and computer scientists from Japan, Korea, France and China attended the Symposium and more than twenty papers were presented All these papers have been collected in this Proceedings. On behalf of MMRC the under-signed would like to thank the following corporations for the support of the symposium: the Natural Science Foundation lf China, Chinese Science and Technology Committee, Academia Sinica and the Institute of Systems Science of Academia Sinica.
Chairman, ASCM’95
Beijing,
Preface………………………………………………………………………………………page I
Separation of close roots by linear fraction transformation………………………………………1
Hidetsune Kobayashi, Hideo Suzuki and Yoshihiko SAKAI
Char-Set Method of Polynomial Equation-Solving and Its Applications………………………..11
Wu wen-tsun
The Genera of Algebraic Curves with Singularities……………………………………………..23
Liu Xian-fang
Automated Reasoning with Differential Forms…………………………………………………29
Li Hongbo
An Efficient Decomposition Algorithm for Geometry Theorem Proving without Factorization..33
Lu Yang, Jing-Zhong zhang and Xiao-Rong Hou
The Structure of Solutions to Algebraic System and Matrices in Eigenvalue Method………….43
Feng Guo-chen, Zhang Shu-gong and Liu Ying
Dongming Wang
A Quantum Group with five parameters………………………………………………………...71
Approximate GCD and PDE Approximation…………………………………………………….81
Hiroshi Kai and Matu-Tarow Noda
The Remainder Method for the First-Order Theorem Proving…………………………………91
Jinzhao Wu, Zhuo-jun Liu
Stabilizing Algebraic Algorithms…………………………………………………………………99
Kiyoshi Shirayanagi
An Hybrid Method for Proving Theorems in Elementary Geometry………………………….113
Stephane Fevre
Blending of Implicit Algebraic Surfaces………………………………………………………..125
Wu Tie-ru, Gao Wei-guo and Feng Guo-chen
Blending algebraic Surfaces of Lowest Degree………………………………………………..133
Zhou Yun-shi and Wu Tie-ru
On the relation of Moduli for Simple K3 Singularities…………………………………………137
Tadashi Takahashi
The machine proof of five positions plane rigit body guidance mechanism synthesis…………145
Aiwen Guan, Huilin liu
The Eigenvalue Method for Computing high-dimensional Varieties……………………………153
Feng Guo-chen, Zhang Shu-gong and Zhang Chuan-lin
Wu Method And Solitons……………………………………………………………………….157
Li Zhibin
Approximate Kernel Space and Its Application to the Computation of Multivaiate Polynomial GCD165
Takuya Kitamoto
Deriving Some New Conditions on the Existence of Eight Limit Cycles for a Cubic System….175
Shilong Ma Shucheng Ning
One General Criterion for Stability……………………………………………………………...187
Zhuojun Liu
Author Index…………………………………………………………………………………….197
