分段函数的初等性研究及其初等表达式的构造  

Research on the Elementary Properties and the Construction on the Elementary Expression of the Step Function

作　　者：吴天毅[1] 

机构地区：[1]天津科技大学理学院,天津300457

出　　处：《天津科技大学学报》2009年第4期76-78,共3页Journal of Tianjin University of Science & Technology

摘　　要：构造出两类基函数wi(x)和u i(x)(i=1,2,…,n),利用这两类基函数构造出定义于开区域D=(x1,x2)∪(x2,x3)∪…∪(xn,xn+1)内分段函数的初等表达式和定义于闭区域[x1,xn+1]上的分段函数的初等表达式,并对这两类分段函数的初等性进行了研究,得到了一些重要结论.Two kinds of elementary function that wi（x） and ui（x） （i = 1,2,…,n） were constructed. By using these two kinds of elementary function,the step function＇s elementary expression both in the open region： D=（x1,x2）∪（x2, x3） ∪… ∪（xn, xn＋1） and in the closed region： [x1, xn＋1 ] were constructed. At the same time,the elementary properties of these two kinds of the step function were studied, and then some significant conclusions were obtained.

关 键 词：分段 初等 函数 表达式 

分 类 号：O174[理学—数学]