| 几个n维Euclid空间概念与定理 |
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| 引用本文： | 刘道建.几个n维Euclid空间概念与定理[J].湖南工程学院学报(自然科学版),2006,16(3):80-82. |
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| 作者姓名： | 刘道建 |
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| 作者单位： | 湖南科技大学,数学与计算科学学院,湖南,湘潭,411201 |
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| 基金项目： | 湖南科技大学校科研和教改项目 |
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| 摘 要： | 解析几何中介绍了三维Euclid空间中点、直线、平面的概念及关系,通过把三维Euclid空间中向量的数性积、矢性积与混合积等推广到n维Euclid空间的情形,研究了n维Euclid空间中向量间的关系,以此为基础,推广了点、直线、平面的概念,尤其给出了n维Euclid空间中关于点、直线、平面的几个重要关系定理,为线性规划的几何算法研究打下了理论基础.
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| 关 键 词： | n维Euclid空间 概念 定理 性质 |
| 文章编号： | 1671-119X(2006)03-0080-03 |
| 收稿时间： | 12 13 2005 12:00AM |
| 修稿时间： | 2005年12月13 |
Several Important Concepts and Theorems for the n Dimension Euclid Space |
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| LIU Dao-jian.Several Important Concepts and Theorems for the n Dimension Euclid Space[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2006,16(3):80-82. |
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| Authors: | LIU Dao-jian |
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| Institution: | Mathematics and Calculation Science School ,Hunan University of Science and Technology ,Xiangtan 411201 ,China |
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| Abstract: | Analytic geometry is involved in the concepts of point,straight line and plane of the three dimensions space and their relations.In this paper,the n dimension vector relations are studied by generalizing the concepts of vector quantity product,vector product and mixed product from the three space to the n dimension space.Meanwhile,the concepts of point,straight line and plane are generalized to the case of the n dimension space.This paper also gives several important relation theorems between the n dimension point,straight line and plane,which lays a solid theoretical foundation for the linear programming geometry algorithm. |
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| Keywords: | n Dimension Euclid Space concept theorem property |
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