分段函数的单一表达式

Single Expression of the Pieclewise Function

本文给出了将分段函数表示成单一表达式的直接方法 ,并运用初等延拓和减段分解等方法 ,使分段函数的初等性构造变得极为简便。本文还对最一般的情形建立了构造公式 ,由此得出了关于分段函数初等性的完满结论。

In this paper,we give a direct method in which We can express the piecewise function as the single expression,and furthermore,in the elementary continuation and piecewise-decreasing decomposition method we make the elementary construction of piecewise function simple .A constructive formula of the piecewise function is the general case in also setup to obtain the satisfactory conclusion about the elementary of piecewise function.