We got a new smooth function for approximating the plus function by interpolation base on smooth piecewise polynomial functions.
基于光滑的分段多项式函数和插值思想推导出一个新的光滑函数，从而可以更好地逼近正号函数。
The paper introduces the property theorem about roots of polynomial and the derivate limit theorem, by which we can study the derived number of a break point of piecewise function.
介绍了用多项式根的性质与导数极限定理求分段函数在分界点的导数的简单方法。
In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.
在第二章中，我们采用截断多项式函数为核函数，解析的给出点、直线段、圆弧、二次曲线和三角面片等骨架的势函数。
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