| 实分片代数曲线的某些研究 |
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| 引用本文： | 朱春钢,王仁宏.实分片代数曲线的某些研究[J].数学研究及应用,2008,28(2):287-296. |
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| 作者姓名： | 朱春钢 王仁宏 |
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| 作者单位： | 大连理工大学数学科学研究所, 辽宁 大连 116024;大连理工大学数学科学研究所, 辽宁 大连 116024 |
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| 基金项目： | 国家自然科学基金
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辽宁省教育厅资助项目 |
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| 摘 要： | 分片代数曲线作为二元样条函数的零点集合是经典代数曲线的推广. 利用代数的基本知识, 本文对实分片代数曲线的基本性质进行了初步讨论, 并且将实分片代数曲线与相应的二元样条分类进行讨论. 最后, 对实分片代数曲线上的孤立点进行了研究.
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| 关 键 词： | bivariate splines piecewise algebraic curves piecewise algebraic varieties algebraic geometry. 分片代数曲线 研究 Piecewise Algebraic Curves Real isolated fact piecewise algebraic curves present researches real elementary generalization defined bivariate spline |
| 收稿时间： | 2006/5/24 0:00:00 |
| 修稿时间： | 2006年5月24日 |
Some Researches on Real Piecewise Algebraic Curves |
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| ZHU Chun Gang and WANG Ren Hong.Some Researches on Real Piecewise Algebraic Curves[J].Journal of Mathematical Research with Applications,2008,28(2):287-296. |
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| Authors: | ZHU Chun Gang and WANG Ren Hong |
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| Institution: | Institute of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,China |
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| Abstract: | The piecewise algebraic curve,defined by a bivariate spline,is a generalization of the classical algebraic curve.In this palper,we present some researches on real piecewise algebraic curves using elementary algebra.A real piecewise algebraic curve is studied according to the fact that a real spline for the curve is indefinite,definite or semidefinite(nondefinite).Moreover,the isolated points of a real piecewise algebraic curve is also discussed. |
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| Keywords: | bivariate splines piecewise algebraic curves piecewise algebraic varieties algebraic geometry |
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