IMPLICITIZATION OF PARTIAL DIFFERENTIAL RATIONAL PARAMETRIC EQUATIONS  

作　　者：Guangwei LI 

机构地区：[1]Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China.

出　　处：《Journal of Systems Science & Complexity》2006年第2期256-265,共10页系统科学与复杂性学报（英文版）

基　　金：Research supported by the Foundation of Mathematics Mechanization;Its Applications in Information Technology(65432A0)of China.

摘　　要：In this paper, we propose algorithms for the following problems in the implicitization of a set of partial differential rational parametric equations P. （1）To find a characteristic set for the implicit prime ideal of P; （2） To find a canonical representation for the image of P; （3）To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters; （4） To compute the inversion maps of P, and as a consequence, to decide whether P is proper.

关 键 词：IMPLICITIZATION partial differential rational parametric equations rational differential varieties unirational differential varieties. 

分 类 号：O175[理学—数学]