| 三阶乘积幻方的构造 |
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| 引用本文： | 徐美萍,于健,李裕梅.三阶乘积幻方的构造[J].数学的实践与认识,2012,42(21):262-265. |
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| 作者姓名： | 徐美萍 于健 李裕梅 |
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| 作者单位： | 1. 北京工商大学理学院,北京,100048
2. 北京建筑工程学院理学院,北京,100044 |
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| 基金项目： | 北京市属高等学校人才强教计划资助项目，国家自然科学基金 |
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| 摘 要： | 通过构造幻方积最小的三阶乘积幻方给出了三阶乘积幻方可构造的一个充分必要条件,并完全确定了所有元素为不同正整数的三阶乘积幻方的结构.
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| 关 键 词： | 乘积幻方 幻方积 和幻方 Hardamard乘积 |
Construction of Multiplicative Magic Squares of Order Three |
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| XU Mei-ping
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YU Jian
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LI Yu-mei.Construction of Multiplicative Magic Squares of Order Three[J].Mathematics in Practice and Theory,2012,42(21):262-265. |
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| Authors: | XU Mei-ping YU Jian LI Yu-mei |
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| Institution: | 1 (1.School of Science,Beijing Technology and Business University,Beijing 100048,China) (2.School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044,China) |
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| Abstract: | In this note,via constructing multiplicative magic squares of order three with the smallest product constant,we get a necessary and sufficient condition under which multiplicative magic squares of order three can be constructed.Then we find all multiplicative magic squares of order three with distinct positive integer elements can be completely determined. |
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| Keywords: | multiplicative magic square product constant sum magic square hardamard product |
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