| 平面简单闭曲线上的一个不等式 |
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| 引用本文： | 邢巧芳,何梅.平面简单闭曲线上的一个不等式[J].华北水利水电学院学报,2009,30(2). |
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| 作者姓名： | 邢巧芳 何梅 |
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| 作者单位： | 1. 信忠工程大学理学院数理系,河南,郑州,450001
2. 淮阴师范学院数学系,江苏,淮安,223300 |
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| 摘 要： | 根据平面上嵌入曲线流的发展演化过程,由其存在的最大有限时间,给出了平面上简单闭曲线所围有限区域的面积和曲线最大曲率平方之间的一个不等式关系.
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| 关 键 词： | 平面曲线流 等周不等式 演化方程 曲率 |
A Inequality on Plane Simple Closed Curve |
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| XING Qiao-fang,HE Mei.A Inequality on Plane Simple Closed Curve[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2009,30(2). |
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| Authors: | XING Qiao-fang HE Mei |
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| Affiliation: | XING Qiao-fang1,HE Mei2 |
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| Abstract: | According to the development and evolution of the flow curve embedded in the plane,through the existing maxium limited time,then,a inequality relationship between the limited area and the maximum curvature of simple planar closed curve is given. |
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| Keywords: | planar curve flow isoperimetric inequality evolution equation curvature |
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