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Fibonacci序列和Thue-Morse(TM)序列的推广及应用
引用本文:包超恩,张礼刚,路红,何文辰. Fibonacci序列和Thue-Morse(TM)序列的推广及应用[J]. 河北工业大学学报, 2005, 34(5): 100-104
作者姓名:包超恩  张礼刚  路红  何文辰
作者单位:河北工业大学,理学院,天津,300130;河北工业大学,理学院,天津,300130;河北工业大学,理学院,天津,300130;河北工业大学,理学院,天津,300130
摘    要:
讨论了Fibonacci序列及广义Fibonacci序列的生成和应用.推广了TM序列使其由二进制扩展到四进制,构造了相应的短程定律,找到了序列的生长和消去规则,对于TM序列的推广,在科学研究中有重要的意义,尤其在生物的DNA测序上有广泛的应用.

关 键 词:广义Fibonacci序列  广义TM序列  短程定律  膨胀规律
文章编号:1007-2373(2005)05-0100-05
修稿时间:2005-04-27

Generalizing and Application of Fibonacci Sequence and Thue-Morse (TM) Sequence
BAO Chao-en,ZHANG Li-gang,LU Hong,HE Wen-chen. Generalizing and Application of Fibonacci Sequence and Thue-Morse (TM) Sequence[J]. Journal of Hebei University of Technology, 2005, 34(5): 100-104
Authors:BAO Chao-en  ZHANG Li-gang  LU Hong  HE Wen-chen
Abstract:
This paper investigated productand application of the Fibonacci sequence and thegeneralized one.We extended the TM sequence that expanded to the quaternary system from the binary system.For the generalized TM sequence,we constituted the correspondence short-range law and found the growth and elimination rules of the sequence.There exists important significance in the study of science,especially in the examination the order of DNA.
Keywords:the generalizedFibonaccisequence  generalized TM sequence  the short-range order  the expansion order
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