【摘要】 本文给出Ｚｎ上全向置换这一概念，讨论全向置换的存在性、函数特性、构造和计数等问题。得到了Ｚｎ上全向置换的存在性定理、不动点特征以及利用正交拉丁方构造全向置换的一种方法，并对全向置换的计数问题进行了研究。更多还原

【Abstract】 This paper introduces the concept of onmi-direction permutation on Zn, discusses the problems of omni-direction permutation, such as existence, funchonal characteristic, consmiction and enumeation. It has been obtained that existence theorem, invedable point properties of omni-direction permutation on Zn and a constructional method which is to apply orthogonal Lahn squares.更多还原