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Nöther-type theorem of piecewise algebraic curves
引用本文:WANG Renhong,ZHU Chungang. Nöther-type theorem of piecewise algebraic curves[J]. 自然科学进展(英文版), 2004, 14(4): 309-313
作者姓名:WANG Renhong  ZHU Chungang
作者单位:Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China,Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China
基金项目:Supported by the National Natural Science Foundation of China(Grant Nos.10271022, 19871010 and 60373093), and 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.

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

Nöther-type theorem of piecewise algebraic curves
WANG Renhong,ZHU Chungang. Nöther-type theorem of piecewise algebraic curves[J]. Progress in Natural Science, 2004, 14(4): 309-313
Authors:WANG Renhong  ZHU Chungang
Affiliation:Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China,Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China
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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