| dc.contributor.advisor | 李陽明 | zh_TW |
| dc.contributor.author (Authors) | 林宥廷 | zh_TW |
| dc.creator (作者) | 林宥廷 | zh_TW |
| dc.date (日期) | 2013 | en_US |
| dc.date.accessioned | 7-Jul-2014 11:09:14 (UTC+8) | - |
| dc.date.available | 7-Jul-2014 11:09:14 (UTC+8) | - |
| dc.date.issued (上傳時間) | 7-Jul-2014 11:09:14 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0097751011 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/67308 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 97751011 | zh_TW |
| dc.description (描述) | 102 | zh_TW |
| dc.description.abstract (摘要) | 長度為n的三元數列(0, 1, 2)，探討(一)0為偶數個1為偶數個，或(二)0為偶數個1為奇數個，或(三)0為奇數個1為偶數個，或(四)0為奇數個1為奇數個的方法數時，就離散的傳統上來說是用遞迴關係去求解。本文將建構一對一函數，利用一對一函數的特性去求此問題的解，與以前的方法比較起來僅需要了解一對一函數的特性即可求解，易懂且不需要用到比較複雜的遞迴觀念。 | zh_TW |
| dc.description.abstract (摘要) | The problem of the number of ternary sequences of length n with :(a) 0 is even, 1 is even, (b) 0 is even, 1 is odd,(c) 0 is odd, 1 is even, (d) 0 is odd, 1 is odd, has been solved by recurrence relations before. We solve the problem by constructingone-to-one functions, and use the characteristics of one-to-one functions to solve this problem. Our method is simpler than those methods which have been done before. | en_US |
| dc.description.tableofcontents | 第一章 緒論………………………………………………………… 1第二章 三元數列的遞迴關係解法………………………………… 3第三章 用建立三元函數方式求三元數列問題之解……………… 5第四章 兩個變數的三元數列問題………………………………… 7第五章 長度為n的k元數列問題………………………………… 15第六章 結論……………………………………………………… 21參考文獻 …………………………………………………………… 22 | zh_TW |
| dc.format.extent | 306671 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0097751011 | en_US |
| dc.subject (關鍵詞) | 三元數列 | zh_TW |
| dc.subject (關鍵詞) | 一對一函數 | zh_TW |
| dc.subject (關鍵詞) | ternary sequence | en_US |
| dc.title (題名) | 有關三元數列的探討 | zh_TW |
| dc.title (題名) | A study about ternary sequences | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | (1) Alan Tucker(1994)，Applied Combinatorics(5th edition)，John Wiley & Sons Inc。(2) C. L. Liu(2000)，Introduction to Combinatorial Mathematics(International editions 2000)，McGraw-Hill。(3) C. L. Liu，Elements of Discrete Mathematics 2nd Edition，McGraw-Hill。(4) J.H. van Lint, R.M. Wilson(2001)，A Course in Combinatorics2 edition，Cambridge University Press。(5) Jiri Matousek, Jaroslav Nesetril(2008)，Invitation to Discrete Mathematics，Oxford University Press。(6) Susanna S. Epp(2003)，Discrete Mathematics with Applications，Cengage Learning。(7)張維格(2011)，以雙射函數探討四元數列，國立政治大學應用數學系數學教學碩士在職專班碩士論文。(8)奇偶校驗位，維基百科。(9)中華民國身分證，維基百科。(10)詹承洲、施信毓、吳安宇，低密度奇偶校驗碼的實現與展望，台大系統晶片中心專欄。 | zh_TW |
