| Morgan-Scott剖分上样条空间S_8~4(Δ_(ms))的维数 |
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| 引用本文： | 邓建松,奚梅成,冯玉瑜.Morgan-Scott剖分上样条空间S_8~4(Δ_(ms))的维数[J].高校应用数学学报(A辑),1998(Z1). |
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| 作者姓名： | 邓建松 奚梅成 冯玉瑜 |
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| 作者单位： | 中国科学技术大学数学系 |
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| 基金项目： | 国家自然科学基金,教委博士点基金 |
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| 摘 要： | Ｍｏｒｇｅｎ－Ｓｃｏｔ剖分上样条空间的维数依赖于剖分的几何性质，本文证明了Ｄｉｅｎｅｒ１９９０年提出的猜想对ｒ＝４是不正确的，需要修正．
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| 关 键 词： | MS剖分，样条空间，维数 |
ON THE DIMENSION OF THE C 4 SPLINE SPACE FOR MORGAN SCOTT PARTITION |
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| Deng Jiansong,Xi Meicheng,Feng Yuyu.ON THE DIMENSION OF THE C 4 SPLINE SPACE FOR MORGAN SCOTT PARTITION[J].Applied Mathematics A Journal of Chinese Universities,1998(Z1). |
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| Authors: | Deng Jiansong Xi Meicheng Feng Yuyu |
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| Abstract: | As is well known that the dimension of spline space for Morgan Scott partition relatives the geometry of the partition.Diener(1990) posed a conjecture.In this paper,it is proved that the conjecture for r=4 is not correct. |
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| Keywords: | MS Partitions Spline Spaces Dimensions |
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