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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/32612


    Title: 多項式空間的組合基底與應用
    The Combinatorial Bases of Polynomial Spaces and Their Applications
    Authors: 陳永恆
    Chen,Yung-Heng
    Contributors: 李陽明
    Li,Young-Ming
    陳永恆
    Chen,Yung-Heng
    Keywords: 組合基底
    Date: 2005
    Issue Date: 2009-09-17 13:50:52 (UTC+8)
    Abstract: 本文藉由多項式的組合基底試圖解決集合分割的問題，在第一章中我們先介紹一些分配問題。第二章中我們證明組合基底也是多項式的基底，也試圖去解決用組合基底展開後的各項係數。第三章中我們利用多項式的組合基底去解決生成函數。第四章中利用多項式的組合基底去解決多次方和的公式。最後附錄附上用比較係數的方法，去解決用組合基底展開後的各項係數。
    Reference: [1] C.Berge,(1971) , Principles of Combinatorics , Academic Press , New York
    [2]Richard Johnsonbaugh , (1992) , Discrete Mathematics , 2nd Ed. NewYork：Macmillan Publishing Company.
    [3]Bernard Kolman , (2004) , David R.Hill , Elementary Linear Algebra , Pearson Education International
    [4]C.L.Liu , (1968) , Introdution to Combinatorial Mathematics , McGraw-Hill , New york.
    [5]Richard P.Stanley , (1986) , Enumerative Combinatorics Volume I , Wadsworth & Brooks/Cole
    [6]Alan TucKer ,（2002）, Applied Combinatorics , 4rd Ed. New York：Wiley&Sons
    [7]黃子嘉. 民國90年(2001) ,離散數學(上)(下) ,鼎茂圖書出版有限公司
    Description: 碩士
    國立政治大學
    應用數學研究所
    92751016
    94
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0927510161
    Data Type: thesis
    Appears in Collections:[Department of Mathematical Sciences] Theses

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