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完美和幻方的定义及其构造方法
The Definition and Construction of Perfect Sum-magic Square
【摘要】 根据和幻方的定义及性质给出完美和幻方(完美始元和幻方、完美异元和幻方、完美连元和幻方、完美拉丁和幻方)的定义,并给出了一种构造奇数阶完美始元和幻方的方法,使幻方的知识体系更加完善,也为幻方的应用提供理论依据.
【Abstract】 According to the definition and properties of sum magic square,this article gives the definitions of perfect sum magic square,perfect initial element sum-magic square,perfect different element sum-magic square,perfect continuous element sum-magic square,perfect Latin sum-magic square,and gives a construction method of odd order initial element perfect sum-magic square,which makes the knowledge of magic square theory more perfect and provides theoretical basis for the application of magic square.
【关键词】 完美和幻方;
完美始元和幻方;
完美连元和幻方;
完美拉丁和幻方;
奇数阶幻方;
【Key words】 perfect sum-magic square; perfect initial element sum-magic square; perfect continued element sum-magic square; perfect Latin sum-magic square; odd order magic square;
【Key words】 perfect sum-magic square; perfect initial element sum-magic square; perfect continued element sum-magic square; perfect Latin sum-magic square; odd order magic square;
【基金】 国家自然科学基金面上项目(11571276/A01);延安大学研究生教育创新计划项目(YCX201832)
- 【文献出处】 湖北民族大学学报(自然科学版) ,Journal of Hubei Minzu University(Natural Science Edition) , 编辑部邮箱 ,2020年04期
- 【分类号】O151.21
- 【被引频次】1
- 【下载频次】122