| PANSYSTEMS METHODOLOGY AND CONSTRUCTION OF MAGIC SQUARES |
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| 引用本文： | 李粤,李立希,吴学谋. PANSYSTEMS METHODOLOGY AND CONSTRUCTION OF MAGIC SQUARES[J]. 应用数学和力学(英文版), 2000, 21(7): 747-752. DOI: 10.1007/BF02428371 |
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| 作者姓名： | 李粤 李立希 吴学谋 |
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| 作者单位： | 1 Electronic Engineering Department，Tsinghua University，Beijing 100084，P R China; 2 Computer Science Department，Guangdong University of Technology Guangzhou 510641，P R China; 3 Wuhan Digital Engineering |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＡｒｅｆｉｎｅｄｅｐｉｔｏｍｅｏｆｖａｒｉｏｕｓｐａｎｓｙｓｔｅｍｓｍｅｔｈｏｄｓｉｓｔｏｃｏｍｐｒｅｈｅｎｄａｎｄｏｐｅｒａｔｅａｂｏｕｔ 2 0ｐａｎｓｙｓｔｅｍｓｃａｔｅｇｏｒｉｅｓｗｈｉｃｈｃａｎｂｅｅｘｐａｎｄｅｄａｓｔｈｅｆｏｌｌｏｗｉｎｇｐｉｔｈｙｆｏｒｍｕｌａｓｅｘｐｒｅｓｓｉｏｎｓ:Ｔｈｅｐａｎｄｅｒｉｖａｔｉｖｅｓ (ｏｒｔｈｅｃｈａｎｇｅ＿ｃｈａｎｇｅｒｅｌａｔｉｏｎｓ)ｏｆｔｈｅｅｘｔｅｒｉｏｒ＿ｉｎｔｅｒｉｏｒ(ｏｒｔｈｅｆｕｎｃｔｉｏｎ＿ｓｔｒｕｃｔｕ…
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| 收稿时间： | 1999-01-28 |
Pansystems methodology and construction of magic squares |
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| Li Yue,Li Lixi,Wu Xuemo. Pansystems methodology and construction of magic squares[J]. Applied Mathematics and Mechanics(English Edition), 2000, 21(7): 747-752. DOI: 10.1007/BF02428371 |
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| Authors: | Li Yue Li Lixi Wu Xuemo |
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| Affiliation: | (1) Electronic Engineering Department, Tsinghua University, 100084 Beijing, P R China;(2) Computer Science Department, Guangdong University of Technology, 510641 Guangzhou, P R China;(3) Wuhan Digital Engineering Institute, 430074 Wuhan, P R China |
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| Abstract: | Some patterns of refined epitomes of pansystems methodology were revealed roles and the related of them in problem-solving , modeling, algorithm-generating and theory-constructing were introduced. An important application of pansystems methodology is to give some methods of constructing the typical pansymmetries-magic squares. 1 . a method of recursively constructing magic squares of order n ( n ⩾ 5) ; 2. when magic squares of order m ( m ⩾ 3) and magic squares of order n ( n ⩾ 3) are given a formula of obtaining magic squares of order mn ; 3. when magic squares of order m ( m ⩾ 3) are given, a method of obtaining magic squares of order 2 m . CLC number: 0150.5 Document code: A Paper from Wu Xuemou, Member of Editorial Committee, AMM |
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| Keywords: | pansystems methodology magic square recursion |
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