3×n Young Lattice 的橄欖球特性之證明

Please use this identifier to cite or link to this item: http://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:	2009-09-18T10:28:23Z
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
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
:	學位論文 thesis
Appears in Collections:	[應用數學系] 學位論文

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