這篇論文的目的,是要詳細解釋用波利亞計數方法來求解環狀排列問
題的基本原理。為了達到這個目的,一開始對循環群的概念做了介紹。
其次是伯恩賽定理的說明。接下來闡述波利亞計數方法的細節,最後
藉由波利亞計數定理,設法建立一個可計算任何環狀排列問題的公式,
並舉出實例,以顯示其實用價值。 / The purpose of this thesis is to explain the basic principle of the circular permutations using the Pólya's enumeration method. Firstly , we introduce the concepts of the cyclic groups. Secondly , we illustrate the Burnside theorem , and then elaborate the Pólya's enumeration method. Finally , we establish a formula that can calculate any type of the circular permutations by the Pólya's enumeration method. And we also give several examples to reveal the results.
Identifer | oai:union.ndltd.org:CHENGCHI/G0099972001 |
Creators | 孫航同 |
Publisher | 國立政治大學 |
Source Sets | National Chengchi University Libraries |
Language | 中文 |
Detected Language | English |
Type | text |
Rights | Copyright © nccu library on behalf of the copyright holders |
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