| 某些凸的光滑闭图形的特殊性质 |
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| 引用本文： | 何鹏飞,熊宗洪. 某些凸的光滑闭图形的特殊性质[J]. 毕节学院学报, 2011, 29(4): 55-58 |
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| 作者姓名： | 何鹏飞 熊宗洪 |
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| 作者单位： | 贵州民族学院理学院; |
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| 基金项目： | 贵州民族学院研究生自然科学技术基金重点资助项目“一类凸的光滑闭图形的性质”,项目编号:2009XS030 |
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| 摘 要： | 在R2中,通过定义凸的光滑闭图形G的特征直径A为G的外接圆的直径,G的标准化周长D为图形G的周长与其特征直径A的比值。得到了某些凸的光滑(或分段光滑)闭图形的一个共同性质:G的标准化周长D∈[2,π]。
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| 关 键 词： | 特征直径 标准化周长 凸的光滑闭图形 |
A Special Property of Some Convex and Smooth Closed Graphs |
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| HE Peng-fei,XIONG Zong-hong. A Special Property of Some Convex and Smooth Closed Graphs[J]. Journal of Bijie University, 2011, 29(4): 55-58 |
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| Authors: | HE Peng-fei XIONG Zong-hong |
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| Affiliation: | HE Peng-fei1,XIONG Zong-hong2(1,2.Science College of Guizhou University for Nationalities,Guiyang,Guizhou 550025,China) |
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| Abstract: | In R2,by defining the characteristic diameter A of convex and smooth closed graph G as the diameter of G's circumcircle and defining G's standardized perimeter D as the ratio of G's perimeter to its characteristic diameter A,a common property of some convex and smooth closed graphs will be obtained: G's standardized perimeter D is in . |
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| Keywords: | Characteristic Diameter Standardized Perimeter Convex and Smooth Closed Graph |
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