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Nother-type theorem of piecewise algebraic curves
引用本文:WANG Renhong and ZHU Chungang(Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China). Nother-type theorem of piecewise algebraic curves[J]. 自然科学进展(英文版), 2004, 14(4). DOI: 10.1080/10020070412331343531
作者姓名:WANG Renhong and ZHU Chungang(Institute of Mathematical Sciences  Dalian University of Technology  Dalian 116024  China)
作者单位:Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China
基金项目:国家自然科学基金,广东省自然科学基金
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.


N(o)ther-type theorem of piecewise algebraic curves
Wang Renhong,ZHU Chungang. N(o)ther-type theorem of piecewise algebraic curves[J]. Progress in Natural Science, 2004, 14(4). DOI: 10.1080/10020070412331343531
Authors:Wang Renhong  ZHU Chungang
Abstract: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.
Keywords:piecewise algebraic curves  bivariate splines  Nother-type theorem  cross-cut partition
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