泛系方法论与幻方构造  

Pansystems Methodology and Construction of Magic Squares

作　　者：李粤[1] 李立希[2] 吴学谋 

机构地区：[1]清华大学计算机系,北京100080 [2]广东工业大学计算机系,广州510641 [3]709研究所,武昌430074

出　　处：《应用数学和力学》2000年第7期675-678,共4页Applied Mathematics and Mechanics

摘　　要：论述了泛系方法论的精缩影模式及其对求解、建模、算法生成与理论建构的作用 ,同时用泛系方法提出并证明了 :1 递归构造 n阶幻方 (n≥ 5)的方法 ;2 已知m阶幻方和n阶幻方 (m ,n≥ 3) ,求mn阶幻方的公式 ;3 已知m阶幻方 (m ≥ 3) ,构造 2m阶幻方的方法·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(n⑥≥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 2m.

关 键 词：泛系方法论 幻方 递归构造 构造 泛对称 

分 类 号：O157.2[理学—数学]