| E~n中几何元素位置关系的数值分析 |
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| 引用本文： | 皮明智.E~n中几何元素位置关系的数值分析[J].华中科技大学学报(自然科学版),1991(1). |
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| 作者姓名： | 皮明智 |
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| 作者单位： | 华中理工大学机械工程一系 |
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| 摘 要： | 本文用位置关系参数t论述E~n中几何元素的相互关系,建立了十分简明的关于相交、关联、平行、垂直的四个数表.用数值分析的方法论述E~n中两几何元素的交维数r,关联度d_i,平行度d_p和垂直度d_r,并得出了相应的数值规律.
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| 关 键 词： | n维欧氏空间 几何元素 数值分析 交维数 关联度 平行度 垂直度 |
Numerical Analysis for Position Relation of Geometric Elements in E |
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| Pi Mingzhi.Numerical Analysis for Position Relation of Geometric Elements in E[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1991(1). |
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| Authors: | Pi Mingzhi |
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| Abstract: | The correlationship of geometric elements in En is discussed with the position relation parameter t and four concise numerical tables in connection with intersection, correlation, parallelism and perpendicularity have been drawn up. The dimension of intersection (r), the degree of correlation (di), the depth of parallelism (dp) and the verticality(dr)of two geometric elements in En have been discussed with the numerical analysis method. The result of study shows the regularity of the numerical values of r, dr, dp and dr. |
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| Keywords: | n-dimensional Euclidean space Geometric elements Numerical analysis Dimension of intersection Degree of correlation Depth of parallelism Verticality |
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