幻阵的规范化定义

The Standard Definition of Magic Matrix

摘要: 幻阵是具有限定条件的矩阵，其在组合设计、工程安排及统计学中都有着十分重要的应用。幻阵一词首次使用已无从查考，但自从幻阵概念开始使用至2000年，幻阵只是一个符号，但对于其理论并未做深入的工作，在此前提下，利用矩阵结合公式化的条件及限定集合给出各类幻阵的规范化定义。

Abstract: Magic matrix is a matrix of restricted conditions, which has very important applications in combinatorial design, engineering arrangement and statistics. The term “magic matrix” was used for the first time. However, since the concept of magic matrix was first used until 2000, magic matrix is only a symbol. However, no in-depth work has been done on its theory. In this paper, the standard definitions of all kinds of magic matrices are given by using the matrix combined with conditions of fortification and restricted sets.