| dc.contributor.advisor | 李陽明 | zh_TW |
| dc.contributor.author (Authors) | 黃育賢 | zh_TW |
| dc.contributor.author (Authors) | Huang, Yu-Xian | en_US |
| dc.creator (作者) | 黃育賢 | zh_TW |
| dc.creator (作者) | Huang, Yu-Xian | en_US |
| dc.date (日期) | 2019 | en_US |
| dc.date.accessioned | 7-Aug-2019 16:35:58 (UTC+8) | - |
| dc.date.available | 7-Aug-2019 16:35:58 (UTC+8) | - |
| dc.date.issued (上傳時間) | 7-Aug-2019 16:35:58 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0106751011 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/124871 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系 | zh_TW |
| dc.description (描述) | 106751011 | zh_TW |
| dc.description.abstract (摘要) | 本論文中，我們主要探討Diffy 2^k邊形。在已知Diffy四邊形的一些結果之下，我們首先研究Diffy八邊形，之後，我們將其推廣至一般Diffy 2^k邊形，討論它們的收斂性以及共同性質。 接下來，我們研究每一個Diffy 2^k邊形之間，是否存在著某些關聯。本文從「結構」及「數量」兩個大方向去探討彼此間的關係，並得出一些不錯的結果。 之後，我們嘗試將Diffy 2^k邊形做分解，將一個邊數多的Diffy多邊形分解成數個邊數較少的Diffy多邊形，以及討論兩種Diffy多邊形它們彼此的關聯。 最後，我們嘗試把分解的可行性推廣至更一般的Diffy n邊形，不再只限制於2^k邊形的狀況，也得到了一些結果。而這一部分的研究，也給未來研究一般的Diffy n邊形時，一個很好的起步方向。 | zh_TW |
| dc.description.abstract (摘要) | In this thesis, we study the Diffy 2^k-gon. Under conditions where some results of Diffy quadrilateral are known, first we study the Diffy octagon, therefore we consider the general Diffy 2^k-gon, and then discuss the convergence and properties between them. Second, we study whether there are some relationships between each Diffy 2^k-gon. We discuss the relationships by two directions “construction” and “amount” in this thesis, and we find some good results. Third, we try to decompose the Diffy 2^k-gon. We partition a Diffy polygon with more edges into several Diffy polygons with less edges, and discuss the relationships between them. Finally, we consider the general Diffy n-gon. We discuss the decomposition of Diffy n-gon, and we also find some results. We think that the result of this part may be a good way to study the general Diffy n-gon in the future. | en_US |
| dc.description.tableofcontents | Abstract i摘要 ii目次 iii圖目錄 iv第一章 前言 1第二章 定義、符號與基本性質 3第三章 Diffy八邊形 9第四章 Diffy 2^k邊形 15第五章 Diffy 2^k邊形彼此間的相關性 19第六章 Diffy 2^k邊形的分解與其延伸 31第七章 結論與未來展望 43參考文獻 45 | zh_TW |
| dc.format.extent | 2552046 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0106751011 | en_US |
| dc.subject (關鍵詞) | Diffy多邊形 | zh_TW |
| dc.title (題名) | Diffy 2^k邊形的探討 | zh_TW |
| dc.title (題名) | The study of Diffy 2^k-gon | en_US |
| dc.type (資料類型) | thesis | en_US |
| dc.relation.reference (參考文獻) | [1] M. Burmester, R. Forcade and E. Jacobs, Circles of Numbers. Glasgow Mathematical Journal, 19:115-119. (July 1978)[2] P. T. Bateman, Cycles of Differences of Integers. Journal of Number Theory, volume 13, 255-261. (May 1981)[3] 王偉名, Diffy六邊形之探討(A Study about Diffy Hexagon). National Chengchi University, (2014)[4] 林亨峰, 迪菲七邊形(Diffy Heptagon). National Chengchi University, (2013)[5] 黃信弼, Diffy Pentagon. National Chengchi University, (2012)[6] 蔡秀芬, 迪菲方塊(Diffy Box). National Chengchi University, (2008) | zh_TW |
| dc.identifier.doi (DOI) | 10.6814/NCCU201900315 | en_US |
