欧氏空间与辛空间关于伪辛空间的内蕴和扩张

Internal Implication and Expansion of Euclidean Space and Symplectic Space for Bogus Symplectic Space

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 。

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.