請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/10171完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹農(Ai-Nung Wang) | |
| dc.contributor.author | Yu-Ling Wang | en |
| dc.contributor.author | 王育齡 | zh_TW |
| dc.date.accessioned | 2021-05-20T21:07:12Z | - |
| dc.date.available | 2013-07-07 | |
| dc.date.available | 2021-05-20T21:07:12Z | - |
| dc.date.copyright | 2011-07-07 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-06-21 | |
| dc.identifier.citation | [1] Serge Tabachnikov, The Four-Vertex Theorem Revisited–Two Variations on the Old
Theme, American Mathematical Monthly, Volume 102, Issue 10 (Dec., 1995), 912-916. [2] National Primary And High School Science Fair, The 48 session, 030422. [3] National Primary And High School Science Fair, The 43 session, 040407. [4] James R. Munkres, Topology, Second Edition. [5] Marvin Greenberg, Lectures on Algebraic Topology, p9-p16. [6] Wu-Hsiung U. Huang, Differential Geometry and Moving Frames, p1-21-p2-39. [7] Lien-Yung Kao, Ai-Nung Wang, The Tripod Configurations of curves. [8] Wilhelm Klingenberg, Riemannian Geometry. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/10171 | - |
| dc.description.abstract | 這篇論文在探討三腳架構形，根據Serge Tabachnikov在附錄[1]的第二個定理:給定一個平滑凸閉平面曲線，至少存在兩個三角架構形。我們在這篇論文中想用跟Serge Tabachnikov不太相同的方法去建構三腳架構形，使用另一種比較直覺的幾何去建構出來。我們採取的方法是minimax method，建造一些變形使Y形的距離和漸漸縮短，但不是所有的Y形均會退化，而會收斂到一個沒有退化的臨界點，再說明臨界點即為我們要的三腳架構形。 | zh_TW |
| dc.description.abstract | In this paper, we research the tripod configurations. By Serge Tabachnikov, see Theorem 2 of Appendix [1] says that for any smooth convex closed curve, there exist at least two tripod configurations. In this paper we want to use another way to construct tripod configurations. Use a intuitive way by a geometrical approach to construct it. We use minimax method, and do some deformation such that the distance of the Y-shaped will decrease, but not all of the Y-shaped will degenerate, it will converge to a critical point which will not degenerate, and we explain that this critical point is our tripod configuration. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-20T21:07:12Z (GMT). No. of bitstreams: 1 ntu-100-R98221008-1.pdf: 430973 bytes, checksum: ceeba455366cca192ce1436312cbec43 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | Contents
口試委員審定書…………………………………………………….i 誌謝………………………………………………………………. ii 摘要……………………………………………………………… iii Abstract………………………………………………………. iv Contents…………………………………………………………v 圖目錄…………………………………………………………vi 1 Introduction 1 2 Convex Bounded Plane Set 2 2.1 Introduction…………………………………………………… 2 2.2 Main Result…………………………………………………… 2 2.3 Construct Main Result……………………………………… 3 2.4 Proof of the Theorem…………………………………………7 References………………………………………………………………14 | |
| dc.language.iso | en | |
| dc.title | 三腳架構形之研究與探討 | zh_TW |
| dc.title | Tripod Configurations | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 夏俊雄(Chun-Hiung Hsia),梁惠禎(Huei-jhen Liang) | |
| dc.subject.keyword | 三腳架構形, | zh_TW |
| dc.subject.keyword | Tripod Configurations, | en |
| dc.relation.page | 14 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2011-06-21 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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