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幻方的几个充要条件

Some Necessary and Sufficient Conditions of Magic Squares

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【作者】 张世德李程张迪

【Author】 ZHANG Shi-de;LI Cheng;ZHANG Di;College of Mathematical and Information Science,Henan Normal University;Henan Daxiang Network Science and Technology Co.Ltd.;AIG Insurance Company China Limited Guangdong Branch;

【机构】 河南师范大学数学与信息科学学院河南大象网络技术有限公司美亚财产保险有限公司广东分公司

【摘要】 建立等重方阵的概念,并运用它阐述幻方、2次幻方、3次幻方及中心对称互补幻方的充要条件,根据这些结论构作出一些8阶、9阶2次中心对称互补幻方.

【Abstract】 In this paper,the concept of equal repetition matrix is introduced and the necessary and sufficient conditions of magic squares,quadratic magic squares,cubic magic squares and symmetrical complementary magic squares about the center are described by using such concept.Using these results some quadratic magic squares of orders 8 and 9 were constructed and they are all symmetrical complementary magic squares about the center.

  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2016年04期
  • 【分类号】O151.21
  • 【被引频次】10
  • 【下载频次】161
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