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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/81197
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/81197


    Title: 有關k元數列的探討
    A Study about k-Sequences
    Authors: 江玲慧
    Contributors: 李陽明
    江玲慧
    Keywords: 數列
    生成函數
    sequence
    generating functions
    Date: 2016
    Issue Date: 2016-02-03 12:12:58 (UTC+8)
    Abstract: 本篇論文主要探討長度為n的k元數列,其中若有i個偶數,j個奇數, 個不限制其奇偶,符合條件的數列個數。第一章 先預備後面計算所需要的基本知識,第二章 由生成函數開始推導公式,第三章 再討論 時的特殊情況,並利用組合方法來加以證明。第四章 針對生成函數推導出的公式再深入探討。第五章 檢討與展望。
    Reference: 1. Brualdi , R. A.:Introduction to Combinatorics ,3rd ed , Prentice Hall ,Upper Saddle River , N J , 1999。
    2. P.Cameron : Combinatorics : Topic , Techniques , Algorithms , Cambridge University Press ,
    Cambridge, 1994。
    3. C.L.Liu:Introduction to Combinatorial Mathematics (International editions 2000) , McGraw-Hill。
    4. Roberts, F. and Tesman, B.:Applied Combinatorics, 2nd ed., Prentice Hall, 2003。
    5. Alan Tucker:Applied Combinatorics (sixth edition) , John Wiley & Sons ,Inc。
    6. Srivastava , H. M. ,and Manocha , H. L.:A Treatise on Generating Functions , Halsted Press , New York , 1984。
    7. Wilf , H. S.:generatingfunctionology , Academic Press,Boston ,1994。
    8. 林宥廷:有關三元數列的探討,國立政治大學應用數學系碩士學位論文,2014。
    9. 張維格:以雙設函數探討四元數列,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,2011。
    Description: 碩士
    國立政治大學
    應用數學系
    102751006
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0102751006
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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