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 Scope All of NCUIR 理學院    數學研究所       --博碩士論文 Tips: please add "double quotation mark" for query phrases to get precise resultsplease goto advance search for comprehansive author search Adv. Search
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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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