English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 113303/144284 (79%)
Visitors : 50800635      Online Users : 834
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
    •  Adv. Search
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer Goto mobile version
    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/52771


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/52771


    Title: 以雙射函數探討四元數列
    A study of Bijective functions on quaternary sequences
    Authors: 張維格
    Contributors: 李陽明教授
    張維格
    Keywords: 四元數列
    雙射
    Date: 2011
    Issue Date: 2012-04-17 09:16:04 (UTC+8)
    Abstract: 本篇論文的主題是藉由討論長度為n的四元數列中，控制一種(0)、兩種(0,1)、三種(0,1,2)數字出現偶數次(或奇數次)的個數，以較為簡潔的1對1且映成的對應算出其數量；而將此種對應推廣至長度為n的k元數列中，控制一種(0)、兩種(0,1)、三種(0,1,2)數字出現偶數次(或奇數次)的個數；更進一步猜測長度為n的k元數列中，控制t種數字(0,1,2,...(t-1))出現偶數次(或奇數次)的個數通式。
    This paper uses bijective functions to obtain the number of quaternary sequences of length n with 0 or (0,1) or (0,1,2) being even and/or odd by establishing a system of linear equations and solving it using matrices.
    Finally,we generalize it to k-nary sequences of length n.
    Reference: [1]Alan Tucker(1994)，Applied Combinatorics(5th Edition)，John Wiley & Sons Inc。
    [2]http://mathworld.wolfram.com/HammingCode.html。
    [3]漢明碼 http://zh.wikipedia.org/wiki/Hamming_code。
    [4]黃子嘉(2001)，離散數學(上)，鼎茂圖書出版有限公司。
    [5]黃子嘉(2001)，離散數學(下)，鼎茂圖書出版有限公司。
    [6]奇偶校驗位，維基百科。
    [7]中華民國身分證，維基百科。
    Description: 碩士
    國立政治大學
    應用數學系數學教學碩士在職專班
    98972012
    100
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0098972012
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

    Files in This Item:

    File SizeFormat
    201201.pdf874KbAdobe PDF2747View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback