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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7884

    Title: n-realizable Quadruple
    Authors: 劉桂瑛;Kuei-Ying Liu
    Contributors: 數學研究所
    Keywords: n-realizable
    Date: 2006-06-26
    Issue Date: 2009-09-22 11:08:05 (UTC+8)
    Publisher: 國立中央大學圖書館
    Abstract: n,k為自然數,一個非遞減正整數序列m1,m2,...,mk,我們稱它為n-realizable,如果{1,2,...,n}這個正整數集合,可以被分割成k個互不相交的子集S1,S2,...,Sk,使得對於每一個$1 leq i leq k$,Si的元素和為mi。在這一篇論文裡面,我們主要得到:四個正整數是n- realizable的充分、必要條件。 For n,k $in$ N, a nondecreasing sequence of positive integers m1,m2,...,mk is said to be n-realizable if {1,2,...,n} can be partitioned into k mutually disjoint subsets S1,S2,...,Sk such that $sumlimits_{x in S_i}x=m_i$ for each $1 leq i leq k$. In this paper, we give a necessary and sufficient condition for a nondecreasing sequence of four positive integers to be n-realizable.
    Appears in Collections:[數學研究所] 博碩士論文

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