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https://ah.lib.nccu.edu.tw/handle/140.119/67308
題名: | 有關三元數列的探討 A study about ternary sequences |
作者: | 林宥廷 | 貢獻者: | 李陽明 林宥廷 |
關鍵詞: | 三元數列 一對一函數 ternary sequence |
日期: | 2013 | 上傳時間: | 7-Jul-2014 | 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。 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. |
參考文獻: | (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。 | 描述: | 碩士 國立政治大學 應用數學研究所 97751011 102 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0097751011 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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101101.pdf | 299.48 kB | Adobe PDF2 | View/Open |
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