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

Two kinds of elementary function that wi(x) and u i(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:[ x 1,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.