Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/67308
DC Field | Value | Language |
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dc.contributor.advisor | 李陽明 | zh_TW |
dc.contributor.author | 林宥廷 | zh_TW |
dc.creator | 林宥廷 | zh_TW |
dc.date | 2013 | en_US |
dc.date.accessioned | 2014-07-07T03:09:14Z | - |
dc.date.available | 2014-07-07T03:09:14Z | - |
dc.date.issued | 2014-07-07T03:09:14Z | - |
dc.identifier | G0097751011 | en_US |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/67308 | - |
dc.description | 碩士 | zh_TW |
dc.description | 國立政治大學 | zh_TW |
dc.description | 應用數學研究所 | zh_TW |
dc.description | 97751011 | zh_TW |
dc.description | 102 | zh_TW |
dc.description.abstract | 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 | The problem of the number of ternary sequences of length n with :\n(a) 0 is even, 1 is even, \n(b) 0 is even, 1 is odd,\n(c) 0 is odd, 1 is even, \n(d) 0 is odd, 1 is odd, \nhas 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\n第二章 三元數列的遞迴關係解法………………………………… 3\n第三章 用建立三元函數方式求三元數列問題之解……………… 5\n第四章 兩個變數的三元數列問題………………………………… 7\n第五章 長度為n的k元數列問題………………………………… 15\n第六章 結論……………………………………………………… 21\n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 | http://thesis.lib.nccu.edu.tw/record/#G0097751011 | en_US |
dc.subject | 三元數列 | zh_TW |
dc.subject | 一對一函數 | zh_TW |
dc.subject | ternary sequence | en_US |
dc.title | 有關三元數列的探討 | zh_TW |
dc.title | A study about ternary sequences | en_US |
dc.type | thesis | en |
dc.relation.reference | (1) Alan Tucker(1994),Applied Combinatorics(5th edition),John Wiley & Sons Inc。\n(2) C. L. Liu(2000),Introduction to Combinatorial Mathematics(International editions 2000),McGraw-Hill。\n(3) C. L. Liu,Elements of Discrete Mathematics 2nd Edition,McGraw-Hill。\n(4) J.H. van Lint, R.M. Wilson(2001),A Course in Combinatorics2 edition,Cambridge University Press。\n(5) Jiri Matousek, Jaroslav Nesetril(2008),Invitation to Discrete Mathematics,Oxford University Press。\n(6) Susanna S. Epp(2003),Discrete Mathematics with Applications,Cengage Learning。\n(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。\n(8)奇偶校驗位,維基百科。\n(9)中華民國身分證,維基百科。\n(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 |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en_US | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
item.openairetype | thesis | - |
Appears in Collections: | 學位論文 |
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