| 欧氏空间与辛空间关于伪辛空间的内蕴和扩张 |
| |
| 引用本文： | 罗智华.欧氏空间与辛空间关于伪辛空间的内蕴和扩张[J].烟台大学学报(自然科学与工程版),2002,15(1):10-12. |
| |
| 作者姓名： | 罗智华 |
| |
| 作者单位： | 琼州大学,数学系,海南,五指山,572200 |
| |
| 摘 要： | 论述欧氏空间、辛空间、伪辛空间的本质属性及演变过程，阐述概念的产生、扩充和分化，说明对称度量与反对称度量的内在联系和区别，对伪辛空间进行分解，同时给出分解的方法，揭示伪辛空间向辛空间与欧氏空间的延伸，得出伪辛空间包蕴辛空间与欧氏空间的结论，并指出其发展前景。
|
| 关 键 词： | 伪辛空间 辛空间 欧氏空间 对称度量 反对称度量 内蕴 扩张 |
| 文章编号： | 1004-8820(2002)01-0010-03 |
Internal Implication and Expansion of Euclidean Space and Symplectic Space for Bogus Symplectic Space |
| |
| LUO Zhi,hua.Internal Implication and Expansion of Euclidean Space and Symplectic Space for Bogus Symplectic Space[J].Journal of Yantai University(Natural Science and Engineering edirion),2002,15(1):10-12. |
| |
| Authors: | LUO Zhi hua |
| |
| Abstract: | The essential property and developmental course of Euclidean space,symplectic space and bogus symplectic space are studied. The produce,expansion, and divide of concepts are expounded.The inner link and the distinction between symmetry magnitude and antisymmetry magnitude are showed.the bogus symplectic space is resolved,a method of resolution is gived.The expounding to Euclidean space and symplectic space from bogus symplectic space is revealed.A conclusion of containing Euclidean space and symplectic space in the bogus symplectic space is drawed,and its development future is pointed out. |
| |
| Keywords: | bogus symplectic space symplectic space edclidean space |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
