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| 与平面凸集几何量有关的不等式(英文) | |
| 引用本文： | 柴方,李寿贵,张红周.与平面凸集几何量有关的不等式(英文)[J].数学杂志,2011,31(5):861-864. |
| 作者姓名： | 柴方 李寿贵 张红周 |
| 作者单位： | 1. 云南省公路开发投资有限责任公司技术咨询处,云南昆明650000;武汉科技大学理学院,湖北武汉430081 2. 武汉科技大学理学院,湖北武汉,430081 3. 郑州铁路技师学院基础教研室,河南郑州,450015 |
| 基金项目： | Supported by Hubei Province Key Laboratory of System Science in Metallurgical Process (A201001) |
| 摘 要： | 本文研究了平面凸集几何量之间的关系.通过定义新几何量:平面凸集的最大内接正三角形T和最大内接正方形S,分别获得了T(S)的边长、凸集的直径和面积之间的关系式. |
| 关 键 词： | 凸集 正三角形 正方形 直径 面积 |
THE INEQUALITIES ON GEOMETRIC QUANTITIES OF PLANAR CONVEX SETS |
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| CHAI Fang,LI Shou-gui,ZHANG Hong-zhoua.THE INEQUALITIES ON GEOMETRIC QUANTITIES OF PLANAR CONVEX SETS[J].Journal of Mathematics,2011,31(5):861-864. | |
| Authors: | CHAI Fang LI Shou-gui ZHANG Hong-zhoua |
| Institution: | CHAI Fang 1,2,LI Shou-gui 2,ZHANG Hong-zhou 3 (1.Technical Advisory Section,Yunan Road Development and Investment Limited Company,Kunming 650000,China) (2.School of Science,Wuhan University of Science and Technology,Wuhan 430081,China) (3.Basic Teaching and Research Room,Technician College of Zhengzhou Railway,Zhengzhou 450015,China) |
| Abstract: | In this paper,we study the relation among the geometric quantities of planar convex sets.By using two new geometric quantities for planar convex set:the maximum equilateral triangle T and the maximum square S contained,we obtain the inequalities among the length of T (S respectively),the diameter and the area. |
| Keywords: | convex set equilateral triangle square diameter area |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |