請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16253
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳其誠(Ki-Seng Tan) | |
dc.contributor.author | Chun-Ming Yang | en |
dc.contributor.author | 楊峻明 | zh_TW |
dc.date.accessioned | 2021-06-07T18:06:53Z | - |
dc.date.copyright | 2012-08-01 | |
dc.date.issued | 2012 | |
dc.date.submitted | 2012-07-23 | |
dc.identifier.citation | [1] Bernstein, D.J., A Non-Iterative 2-adic Statement of the 3N + 1 Conjecture, Proc. Amer. Math. Soc. 121 (1994), 405-408.
[2] Craig Alan Feinstein, The Collatz 3n + 1 Conjecture is Unprovable, web document, available at: http://arxiv.org/abs/math/0312309 [3] J. C. Lagarias, The 3x + 1 problem and its generalizations, Amer. Math. Monthly 92 (1985), 3-23. [4] Eric Roosendaal, On the 3x + 1 problem, web document, available at: http://www.ericr.nl/wondrous/index.html | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16253 | - |
dc.description.abstract | 本論文整理了關於此猜想的一些重要結果,包括機率上的觀點,以及2進數下的等價敘述。文末則藉由觀察magnification ratio的有界性,提出未來可能的研究方向。 | zh_TW |
dc.description.abstract | This thesis surveys some fundamental results about the Collatz Conjecture, including viewpoints in probability, and an equivalent statement in 2-adic numbers. At the end of the thesis, we see some phenomena via programming and define the magnification ratio of n for further development. | en |
dc.description.provenance | Made available in DSpace on 2021-06-07T18:06:53Z (GMT). No. of bitstreams: 1 ntu-101-R97221043-1.pdf: 445250 bytes, checksum: fe3149177f1f1994a239de46115b430a (MD5) Previous issue date: 2012 | en |
dc.description.tableofcontents | Acknowledgements i
Abstract (in Chinese) ii Abstract (in English) iii Contents iv 1. Introduction 1 2. Some Fundamental Results 2 3. A Viewpoint from the 2-Adic Numbers 9 4. Provability 13 5. Further Development 15 6. Appendix 17 References 19 | |
dc.language.iso | en | |
dc.title | 考拉茲猜想之探討 | zh_TW |
dc.title | A Survey on the Collatz Conjecture | en |
dc.type | Thesis | |
dc.date.schoolyear | 100-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 黃柏嶧,紀文鎮 | |
dc.subject.keyword | 考拉茲猜想, | zh_TW |
dc.subject.keyword | The Collatz Conjecture, | en |
dc.relation.page | 19 | |
dc.rights.note | 未授權 | |
dc.date.accepted | 2012-07-24 | |
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 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-101-1.pdf 目前未授權公開取用 | 434.81 kB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。