English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 111316/142225 (78%)
Visitors : 48389099      Online Users : 902
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
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    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:[Department of Mathematical Sciences] Theses

    Files in This Item:

    File SizeFormat
    index.html0KbHTML2766View/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