Nother-type theorem of piecewise algebraic curves  

作　　者：WANGRenhong ZHUChungang 

机构地区：[1]InstituteofMathematicalSciences,DalianUniversityofTechnology,Dalian116024,China

出　　处：《Progress in Natural Science:Materials International》2004年第4期309-313,共5页自然科学进展·国际材料（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 10271022, 19871010 and 60373093);the Natural Science Foundation of Guangdong Province, China

摘　　要：The piecewise algebraic curve is a generalization of the classical algebraic curve. This paper describes the improvement of the Nother-type theorem of piecewise algebraic curves on the star region. Moreover, the Nother-type theorem of piecewise algebraic curves on the cross-cut partition is discussed.The piecewise algebraic curve is a generalization of the classical algebraic curve. This paper describes the improvement of the Noether-type theorem of piecewise algebraic curves on the star region. Moreover, the Nother-type theorem of piecewise algebraiccurves on the cross-cut partition is discussed.

关 键 词：piecewise algebraic curves bivariate splines Nother-type theorem cross-cut partition. 

分 类 号：O187[理学—数学] O241.5[理学—基础数学]