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].工科数学,2010(1):137-142. |
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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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Institution: | DENG Pei-min, J IANG Yuan -hang (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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