| 无约束线性映射对位形空间曲率的影响 |
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| 引用本文： | 王 勇,陈英华.无约束线性映射对位形空间曲率的影响[J].唐山学院学报,2015,28(6):01-2, 10. |
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| 作者姓名： | 王 勇 陈英华 |
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| 作者单位： | 广东医学院 信息工程学院,广东 东莞 523808,广东医学院 信息工程学院,广东 东莞 523808 |
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| 基金项目： | 国家自然科学基金项目(11172120)；广东医学院科研基金面上项目(M2011043) |
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| 摘 要： | 一个约束系统的不同位形空间之间的无约束线性映射可能会改变位形空间的曲率。一般来说,完整的无约束线性映射不会改变位形空间的几何结构;但非完整的无约束线性映射不仅会改变位形空间的挠率,而且会改变位形空间的曲率。和挠率一样,位形空间曲率的变化也反映了两个位形空间之间映射的非完整性。
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| 关 键 词： | 无约束线性映射 位形空间 曲率 |
| 收稿时间： | 2015/10/13 0:00:00 |
On the Influence of the Unconstrained Linear Mapping on the Curvature of a Configuration Space |
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| WANG Yong and CHEN Ying-hua.On the Influence of the Unconstrained Linear Mapping on the Curvature of a Configuration Space[J].Journal of Tangshan College,2015,28(6):01-2, 10. |
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| Authors: | WANG Yong and CHEN Ying-hua |
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| Institution: | School of Information Engineering, Guangdong Medical College, Dongguan 523808, China and School of Information Engineering, Guangdong Medical College, Dongguan 523808, China |
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| Abstract: | The unconstrained linear mapping between the different configuration spaces of a restrained system may change the curvature of a configuration space. general, the complete unconstrained linear mapping does not change the geometry of a configuration space, but incomplete unconstrained linear mapping changes not only the torsion of a configuration space, but also its curvature. ke the torsion, the change in the curvature of a configuration space also reflects the incompleteness of the mapping between two configuration spaces. |
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