| 论平面空间的自然代数结构 |
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| 引用本文： | 卢一兵,王应德,张海涛.论平面空间的自然代数结构[J].长沙大学学报,2013,27(2):4-6. |
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| 作者姓名： | 卢一兵 王应德 张海涛 |
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| 作者单位： | 长沙大学电子与通信工程系,湖南长沙,410003 |
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| 摘 要： | 所要探讨的问题是数与形的统一,提出了用一个代数数系的代数运算,把数与形相互统一起来的新方法,通过这种方法,可以发现,代数数系中的任一元素"数量",与构成几何理论体系的基本元素"矢量",在数学理论的逻辑结构中,实属同一数学元素.
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| 关 键 词： | 数形统一 复数 克莱因数 数的内积运算 数的外积运算 |
On the Natural Geometrical Structure of Spatial Space |
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| LU Yibing
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WANG Yingde
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ZHANG Haitao.On the Natural Geometrical Structure of Spatial Space[J].Journal of Changsha University,2013,27(2):4-6. |
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| Authors: | LU Yibing WANG Yingde ZHANG Haitao |
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| Institution: | (Department of Electronic and Communication Engineering, Changsha University, Changsha Hunan 410003, China) |
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| Abstract: | This paper is aimed to explore the unification of the number and shape. To explore this issue, a new method is proposed in this article. By this method, it can be found that, any element ＂quantity＂ in the algebraic number system and ＂vector＂, basic element constituting the geometric theory system, are the same mathematical elements in the logical structure of the mathematical theory. |
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| Keywords: | number and form integrative complex number Klein coefficient inner product operation outer product operation |
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