請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48509完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹農 | |
| dc.contributor.author | Yu-Ting Chen | en |
| dc.contributor.author | 陳裕庭 | zh_TW |
| dc.date.accessioned | 2021-06-15T06:59:47Z | - |
| dc.date.available | 2013-02-09 | |
| dc.date.copyright | 2011-02-09 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-01-25 | |
| dc.identifier.citation | [1] J. Bobok and S. Troubetzkoy, Does a billiard orbit determine its (polygonal) table?, to appear in Fundamenta Mathematicae, 17 pp.
[2] H. Masur and S. Tabachnikov, Rational Billiards and Flat Surfaces, in Hand-book of Dynamical Systems, Vol. 1A, Elsevier Science B.V., 2002, edited by B. HasselBlatt and A. Katok. [3] W. Veech, The Billiard in Regular Polygon, Geom. and Funct. Anal. (1992) 341-379. [4] S. Tabachnikov, Geometry and Billiards, Amer. Math. Soc., 2005 [5] E. Gutkin, Billiards in polygons, Physica D, 19, (1986), 311-333 [6] M. Keane, Interval exchange transformation, Math. Zeitschrift, 141, (19750, 25-33) | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48509 | - |
| dc.description.abstract | In this paper we try to clarify some ambiguities in Jozef Bobok and Serge Troubrtzkoy’s paper.[1] And add some introduction about related concepts. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T06:59:47Z (GMT). No. of bitstreams: 1 ntu-100-R96221021-1.pdf: 929925 bytes, checksum: 639664f4ef413b71f302cab93dd58e04 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | 中文摘要.................................................i
英文摘要................................................ii 1.Introduction...........................................1 2.Polygon Billiard.......................................2 3.Preparatory Lemmas.....................................9 4.Rational Versus Irrational............................18 5.Rational Versus Rational..............................23 6.Conclusion And Open Question..........................26 Reference...............................................27 | |
| dc.language.iso | zh-TW | |
| dc.subject | 區間交換轉換 | zh_TW |
| dc.subject | 撞球理論 | zh_TW |
| dc.subject | 次序等價關係 | zh_TW |
| dc.subject | 有理多邊形 | zh_TW |
| dc.subject | 廣義對角線 | zh_TW |
| dc.subject | interval exchange transformation(IET) | en |
| dc.subject | generalized diagonal | en |
| dc.subject | rational polygon | en |
| dc.subject | order-equivalent relation | en |
| dc.subject | billiard | en |
| dc.title | 撞球軌跡對球桌影響之探究 | zh_TW |
| dc.title | A Survey On Whether a Billiard Orbit Determines Its (Polygonal) Table | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 李瑩英,楊樹文 | |
| dc.subject.keyword | 撞球理論,次序等價關係,有理多邊形,廣義對角線,區間交換轉換, | zh_TW |
| dc.subject.keyword | billiard,order-equivalent relation,rational polygon,generalized diagonal,interval exchange transformation(IET), | en |
| dc.relation.page | 27 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2011-01-25 | |
| 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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