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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/36395
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/36395


    Title: 3×n Young Lattice 的橄欖球特性之證明
    A Proof About Symmetric Unimodal Property Of 3×n Young Lattice
    Authors: 陳振豐
    Contributors: 李陽明
    陳振豐
    Keywords: 單峰性質
    橄欖球形特性
    unimodal property
    symmetric unimodal property
    m×n Young lattice
    Date: 2002
    Issue Date: 2009-09-18 18:28:23 (UTC+8)
    Abstract: 摘 要

    本文是利用求出貨品堆積量的方法數,在貨品堆積量α不大於 中,分別求出貨品堆積量為α和α+1的方法數,再加以比較,來證明3×n Young lattice的橄欖球形特性。
    文中編排如下:
    第一章 緒論;
    第二章 文獻探討;
    第三章 3×n Young Lattice的橄欖球形特性;
    第四章 結論,對m×n(m≧4)提供一個正確的思考方向。

    關鍵字:單峰性質、橄欖球形特性、m×n Young lattice
    ABSTRACT

    To prove the symmetric unimodal property of 3×n Young lattice for a £ ,we can compare the number of the ways for stocking a squares with the number of the ways for stocking a+1 squares .


    Key words: unimodal property、symmetric unimodal property、m×n Young lattice
    目 錄

    摘要 i
    ABSTRACT ii
    圖次 iii
    第一章 緒論 1
    1.1 前言 1
    1.2 分割及橄欖球形特性 1
    第二章 文獻探討 4
    第三章 3×n Young Lattice的橄欖球形特性 5
    3.1 3×n棋盤式倉庫中貨品堆積量α(a £ )的方法數 5
    3.2 3×n Young Lattice的橄欖球形特性之證明 46
    3.3 討論 55
    第四章 結論 56
    參考書目 57
    Reference: 參 考 書 目
    英文部分:
    【1】 George E.Andrews,Encyclopedia of Mathematics and Its Applications(The Theory of Partitions), Addison–Wesley Publishing Company,1976﹒
    【2】 D.E.Knuth,Sorting and searching, volume 3 of The Art of Computer Programming, Addison–Wesley Publishing Company, 1973.
    【3】 Richard P.Stanley, Unimodal sequences arising from Lie algebras, in Young Day Proceedings(T.V.Narayana, R.M. Mathsen, and J.G.Williams,des.),Dekker,
    New York╱Basel, 1980,pp.127﹣136
    【4】Richard P.Stanley,Enumerative Combinatorics, volume 1, Cambridge University Press,1997.
    中文部分:
    【1】 李朱慧,A Survey on Young Tableaux,政大應數所,1992.
    【2】 林雅慧,關於2×n及3×n的 Young Lattice之證明, 政大應數所,2002.
    Description: 碩士
    國立政治大學
    應用數學研究所
    89751005
    91
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0089751005
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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