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| 关于伪欧氏空间 | |
| 引用本文： | 张慎语,王毅.关于伪欧氏空间[J].四川理工学院学报(自然科学版),1995(1). |
| 作者姓名： | 张慎语 王毅 |
| 作者单位： | 四川联合大学数学系，四川轻化工学院基础部 |
| 摘 要： | 本文提出了一些新概念，Ｐ－伪转置阵，Ｐ－伪正交阵，Ｐ－伪对称阵，从而能以这些矩阵为工具研究伪欧氏空间的性质以及空间中两个特殊线性变换，伪正交变换和伪对称变换。本文得到的主要结果是定理２，定理３，定理４，及定理６。本文还指出了北大编《高等代数》第二版中的伪正交变换习题的一个错误。 |
| 关 键 词： | 伪欧氏空间 伪正交变换 伪对称变换 P－伪转置阵 P－伪正交阵 P－伪对称阵 类时向量 类空向量 |
ABOUT PSEUDO-EUCLIDEAN SPACES |
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| Zhang Shenyu.ABOUT PSEUDO-EUCLIDEAN SPACES[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,1995(1). | |
| Authors: | Zhang Shenyu |
| Abstract: | Some new concepts p-pseudo-transposedmatrix, p-pseudo-orthogonal matrix, p-pseudo-symmetrix matrix are given in the paper. pseudo-Euclid space and its properties are discussed using these matrixes as a tool. The purpose of the paper is to consider the properites of pseudo-othogonal transformation and pseudo-symmetric transformation, which are differedt from the properites of othogonal transformation and symmetric transformation. Theorem 2, 3, 4, 6 are gained and an error of the exerise in Advanced Algebra is also finded. |
| Keywords: | p-pseudo-Euclidean space p-pseudo-transposed matrix p-pseudoorthogonal transformation p-pseudo-symmetric matrix pseudo-othogonal transformation pseudo-symmetric transformation space-like vector time-like vector |
| 本文献已被 CNKI 等数据库收录！ | |