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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16253| Title: | 考拉茲猜想之探討 A Survey on the Collatz Conjecture |
| Authors: | Chun-Ming Yang 楊峻明 |
| Advisor: | 陳其誠(Ki-Seng Tan) |
| Keyword: | 考拉茲猜想, The Collatz Conjecture, |
| Publication Year : | 2012 |
| Degree: | 碩士 |
| 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。 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. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16253 |
| Fulltext Rights: | 未授權 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-101-1.pdf Restricted Access | 434.81 kB | Adobe PDF |
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