| Alignment空间的几点注记 |
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| 引用本文： | 卢国祥. Alignment空间的几点注记[J]. 工程数学学报, 2012, 0(1): 47-54 |
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| 作者姓名： | 卢国祥 |
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| 作者单位： | 中南财经政法大学统计与数学学院 |
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| 基金项目： | 中南财经政法大学引进人才科研启动金(31140911216)~~ |
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| 摘 要： | Alignment空间是一种由度量空间产生的度量空间,其中的度量函数称为Alignment距离.本文首先利用扩张结构的方法直接证明了Alignment距离是度量空间中的度量函数.接下来讨论了Alignment空间中逆序列和子序列的Alignment距离之间的关系,给出了关于Alignment距离的一系列不等式.
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| 关 键 词： | Alignment空间 Alignment距离 扩张结构 逆序列 子序列 |
Some Remarks on the Alignment Space |
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| LU Guo-xiang. Some Remarks on the Alignment Space[J]. Chinese Journal of Engineering Mathematics, 2012, 0(1): 47-54 |
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| Authors: | LU Guo-xiang |
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| Affiliation: | LU Guo-xiang(School of Statistics and Mathematics,Zhongnan University of Economics and Law,Wuhan 430073) |
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| Abstract: | Alignment space is a metric space generated from a given metric space.The distance function in it is called Alignment distance.Using the extension structure method,it is first theoretically proved that Alignment distance is a distance function in the Alignment space.Next,the relationship between the different Alignment distances of inverse sequences and subsequences in the Alignment space is discussed.A series of inequalities for these distances are further proposed. |
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| Keywords: | Alignment space Alignment distance extension structure inverse sequence subsequence |
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