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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2017, Vol. 34 ›› Issue (1): 47-58.doi: 10.3969/j.issn.1005-3085.2017.01.006

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Alignment空间中的一个计数结果

卢国祥   

  1. 中南财经政法大学统计与数学学院，武汉  430073
  • 收稿日期:2015-09-14 接受日期:2016-07-19 出版日期:2017-02-15 发布日期:2017-04-15
  • 基金资助:
    中央高校基本科研业务费项目(2722013JC082).

An Enumeration Result in the Alignment Space

LU Guo-xiang   

  1. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073
  • Received:2015-09-14 Accepted:2016-07-19 Online:2017-02-15 Published:2017-04-15
  • Supported by:
    The Fundamental Research Funds for the Central Universities (2722013JC082).

PDF (PC)

180

摘要：

Alignment空间是一种由广义差错产生的度量空间，其中的序列结构分析在应用领域中起到了越来越重要的作用．本文主要对Alignment空间${F_2}^*$中Alignment距离为2的序列结构进行了研究，提出Alignment距离分布的概念，得到了长度为$n$并且Alignment距离为2的序列对数目的解析表达式．

关键词: Alignment空间, Alignment距离, 位点, 计数

Abstract:

Alignment space is a metric space which is generated by the generalized error. The sequence structure analysis among the space plays a more and more important role in practice. In this paper, the structures of the sequences between which the Alignment distance is 2 in Alignment space ${F_2}^*$ are studied. Alignment distance distribution is also proposed. And the analytic expression for the sequences pairs between which the length is $n$ and the Alignment distance is 2 is obtained.

Key words: Alignment space, Alignment distance, site, enumeration

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