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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/70932
標題: | 字串禁位Stirling錯排的研究 On Pattern Avoiding Stirling Derangements |
作者: | Shiuan Fu 傅璿 |
指導教授: | 葉永南(Yeong-Nan Yeh) |
共同指導教授: | 林惠雯(Hui-Wen Lin) |
關鍵字: | Stirling排列,錯位排列,字串禁位,生成函數,核方法, Stirling permutation,Derangement,Pattern avoidance,Generating function,Kernel method, |
出版年 : | 2018 |
學位: | 碩士 |
摘要: | The goal of this thesis is to derive properties for the generating functions of σ-pattern avoiding Stirling derangements where σ is a permutation in the symmetric group S3.
This thesis is organized as follows: In chapter 1, we roughly make a introduction to the history of pattern avoiding sequences. In chapter 2, we state the kernel method. In chapter 3, we derive the generating functions of σ-pattern avoiding Stirling derangements where σ is a permutation in S3. Since there are 6 cases, the main results will be stated by 6 main theorems. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/70932 |
DOI: | 10.6342/NTU201802156 |
全文授權: | 有償授權 |
顯示於系所單位: | 數學系 |
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