正交群是一类重要的典型群。在实数域的特殊情形,全体n×n正交方阵在矩阵乘法下构成的群称为n次正交群,记为O(n)。一般地,设V是域K上n维列向量空间,Q(x)=xAx是V上的非退化二次型(A是K上某个n×n矩阵),若g∈GL(V)使Q(gx)=Q(x)对所有的x∈V成立,则称g是关于Q的正交变换。关于Q的全体正交变换在映射乘法下构成一个群,称为关于Q的正交群,记为On(K,Q)。 正交群,欧氏平面内,所有正交变换的集合构成群,称为正交变换群,简称正交群,它是一个三维群。
... orthogonal matrix 正交矩阵 orthogonal group 正交群 orthogonal functions 正交函数 ...
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特殊正交群 [数] special orthogonal group ; SO ; proper orthogonal group
实正交群 [数] real orthogonal group
复正交群 [数] complex orthogonal group
扩张的正交群 [数] extended orthogonal group
正常复正交群 [数] proper complex orthogonal group
特殊复正交群 [数] special complex orthogonal group
超正交群 hyperorthogonal group
无限正交群 [数] infinite orthogonal group
约化正交群 [数] reduced orthogonal group
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研究了解特征值反问题的等谱流方法及其李群算法,我们取的李群是正交群。
The isospectral flows method for solving inverse the eigenvalues problem and its lie group method are studied in this paper, while the corresponding lie group is orthogonal group.
为了解决正交拉丁方完备组问题,利用代数方法讨论了拉丁方与正则群的关系。
In order to solve the problem of complete system of orthogonal Latin squares, relation between Latin square and permutation groups is discussed by using method of algebra.
梁德群教授提出了非正交多重调制技术(NMT),是一种多载波调制方式,它突破了正交性限制。
Professor Liang Dequn invented non-orthogonal multi-modulation technique (NMT), which is a multi-carrier modulation; it breaks through the orthogonal limitation.
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