分段函数的分类及分离型分段函数与初等函数之间的关系  

Classification of Piecewise Defined Functions and the Relationship between a Separate Piecewise Defined Function and an Elementary Function

作　　者：张永明[1] 杜明芳[1] 张梅荣[1] 

机构地区：[1]北京印刷学院数学教研室,北京102600

出　　处：《工科数学》2002年第4期92-96,共5页Journal of Mathematics For Technology

基　　金：北京印刷学院青年科研基金

摘　　要：将分段函数划分为连结型分段函数 ,分离型分段函数和它们的组合形式三种类型 ,得到了分离型分段函数是初等函数的充分必要条件 ,完整地解决了分离型分段函数与初等函数之间的关系 ,并且给出了初等函数在其任一截取集上的限制函数 (截取函数 )The piecewise defined functions are classified as connected piecewise defined functions, separate piecewise defined functions and their composition. And the relationship, sufficient and necessary condition, between a separate piecewise defined function and an elementary function is presented completely. And the conclusion, the cutting function of an elementary function is still an elementary function, is given.

关 键 词：分段函数 初等函数 充要条件 截取集 截取函数 

分 类 号：O171[理学—数学]