| Nther-type theorem of piecewise algebraic curves on triangulation |
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| 作者姓名： | Chun-gang ZHU~ Ren-hong WANG Institute of Mathematical Sciences Dalian University of Technology Dalian 116024 China |
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| 作者单位： | Chun-gang ZHU~ Ren-hong WANG Institute of Mathematical Sciences，Dalian University of Technology，Dalian 116024，China |
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| 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) |
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| 摘 要： | The piecewise algebraic curve is a kind generalization of the classical algebraic curve. Nther-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 Nther-type theorem of piecewise algebraic curves on the arbitrary triangulation is presented.
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