| 用正交拉丁方构造双重幻方 |
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| 引用本文： | 李立.用正交拉丁方构造双重幻方[J].内蒙古大学学报(自然科学版),1991(4). |
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| 作者姓名： | 李立 |
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| 作者单位： | 北京联合大学纺织工程学院 |
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| 摘 要： | 本文提出构成双重幻方的必要条件和充分条件,构造了最小的8阶双重幻方和9阶双重幻方,并提出2~m阶和(2m+1)~2阶双重幻方的一种构造方法。
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| 关 键 词： | 双重幻方 加乘幻方 正交拉丁方 |
Constructing Double Magic Squares Through Orthogonal Latin Squares |
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| Li Li Textile Engineering College of Beijing United University.Constructing Double Magic Squares Through Orthogonal Latin Squares[J].Acta Scientiarum Naturalium Universitatis Neimongol,1991(4). |
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| Authors: | Li Li Textile Engineering College of Beijing United University |
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| Institution: | Li Li Textile Engineering College of Beijing United University |
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| Abstract: | Necessary condition and sufficient condition are obtained for the existence of double magic squares. Smallest double magic squares of order 8 and order 9 are constructed. We also present a method for constructing double magic squares of orders 2~m and (2m+1)~2. |
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| Keywords: | double magic squares addition-multiplication magic squares orthogonal latin squares |
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