考拉茲猜想之探討

Chun-Ming Yang; 楊峻明

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.subject	考拉茲猜想	zh_TW
dc.subject	The Collatz Conjecture	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

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