The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular dire...The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular directions are defined and their existence is proved.展开更多
In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article i...In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6].展开更多
函数单向S-粗集对偶(dual of function one direction singular rough set),具有单向动态特性和规律特性;它是函数S-粗集(function singular rough set)的基本形式之一。函数S-粗集是在改进S-粗集的基础上提出的。利用函数单向S-粗集对...函数单向S-粗集对偶(dual of function one direction singular rough set),具有单向动态特性和规律特性;它是函数S-粗集(function singular rough set)的基本形式之一。函数S-粗集是在改进S-粗集的基础上提出的。利用函数单向S-粗集对偶的动态特性和规律特性,给出-f-规律,-f-规律的属性特征,属性距离,-f-冗余规律概念。利用这些概念,提出规律与它的-f-属性控制,并给出-f-属性控制定理,-f-属性控制判定定理,-f-属性控制识别准则与应用。展开更多
函数单向S-粗集对偶(dual function one direction singular rough sets)是以R-函数等价类[u]定义的,ui∈[u]是一个函数,函数是一个规律。利用函数单向S-粗集对偶的规律特征,给出■-规律挖掘的概念,提出■-规律挖掘定理。■-规律挖掘是...函数单向S-粗集对偶(dual function one direction singular rough sets)是以R-函数等价类[u]定义的,ui∈[u]是一个函数,函数是一个规律。利用函数单向S-粗集对偶的规律特征,给出■-规律挖掘的概念,提出■-规律挖掘定理。■-规律挖掘是寻找经济发展中未知规律的一个新的研究方向。展开更多
文摘The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular directions are defined and their existence is proved.
基金supported by the NSFC(11171184)the NSF of Shandong Province,China(Z2008A01)
文摘In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6].
文摘函数单向S-粗集对偶(dual of function one direction singular rough set),具有单向动态特性和规律特性;它是函数S-粗集(function singular rough set)的基本形式之一。函数S-粗集是在改进S-粗集的基础上提出的。利用函数单向S-粗集对偶的动态特性和规律特性,给出-f-规律,-f-规律的属性特征,属性距离,-f-冗余规律概念。利用这些概念,提出规律与它的-f-属性控制,并给出-f-属性控制定理,-f-属性控制判定定理,-f-属性控制识别准则与应用。
文摘函数单向S-粗集对偶(dual function one direction singular rough sets)是以R-函数等价类[u]定义的,ui∈[u]是一个函数,函数是一个规律。利用函数单向S-粗集对偶的规律特征,给出■-规律挖掘的概念,提出■-规律挖掘定理。■-规律挖掘是寻找经济发展中未知规律的一个新的研究方向。
