| 欧氏空间中等角基的性质 |
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| 引用本文： | 邓培民,江远航. 欧氏空间中等角基的性质[J]. 大学数学, 2010, 26(1) |
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| 作者姓名： | 邓培民 江远航 |
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| 作者单位： | 广西师范大学数学科学学院,广西,桂林,541004 |
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| 基金项目： | 教育部优秀青年教师资助计划资助项目(2002-40);;新世纪广西高等教育教改工程;;“十一五”规划项目(A19) |
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| 摘 要： | 等角基是正交基的推广,等角基具有和正交基相似的性质,因此研究等角基的性质能够为研究欧氏空间提供一种工具,加深对欧氏空间的了解.本文主要把n维欧氏空间中正交基的一些性质推广到等角基上,得到了五个关于等角基性质的定理.
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| 关 键 词： | n维欧氏空间 等角基 正交基 内积 过渡矩阵 正交变换 |
The Property of Isogonal Basis in the n-dimensional Euclidean Space |
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| DENG Pei-min,JIANG Yuan-hang. The Property of Isogonal Basis in the n-dimensional Euclidean Space[J]. College Mathematics, 2010, 26(1) |
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| Authors: | DENG Pei-min JIANG Yuan-hang |
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| Affiliation: | College of Mathematical Science;Guangxi Normal University;Guilin 541004;China |
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| Abstract: | Isogonal Basis is a generalization for the orthogonal basis.The properties of isogonal basis and orthogonal basis are similar.So discussing the property of isogonal basis can give us a tool of analyzing Euclidean space and deepen apprehend of Euclidean space for us.This paper mainly extends the property of orthogonal basis to isogonal basis and gets five principles. |
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| Keywords: | n-dimensional Euclidean space isogonal basis orthogonal basis inner produc transition matrix orthogonal transformation |
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