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Nther-type theorem of piecewise algebraic curves on triangulation
作者姓名:Chun-gang ZHU~ Ren-hong WANG Institute of Mathematical Sciences  Dalian University of Technology  Dalian  China
作者单位:Chun-gang ZHU~ Ren-hong WANG Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China
基金项目:This work was partially supported by the National Natural Science Foundation of China (Grant Nos.60373093,60533060),the Research Project of Liaoning Educational Committee (Grant No.2005085)
摘    要:The piecewise algebraic curve is a kind generalization of the classical algebraic curve. Nther-type theorem of piecewise algebraic curves on the cross-cut partition is very important to construct the Lagrange interpolation sets for a bivariate spline space.In this paper,using the properties of bivariate splines,the Nther-type theorem of piecewise algebraic curves on the arbitrary triangulation is presented.

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