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1·If is piecewise smooth, that is, consists of several smooth curves joined together.

如果是分段光滑的，即是由几段光滑曲线连接起来的。

2·Firstly, this paper assumes that the surface of range image is piecewise smooth, and estimates curvature from the smooth piece of surface to which the current point belongs.

首先，提出曲面是分片光滑的假设，表面曲率需从该像素所属的光滑曲面片来估计。

3·This thesis reports a study on the characteristics of some piecewise-smooth classical systems and the quantum system corresponding to one of them.

本论文报道对一些分段光滑经典系统和其中之一所对应的量子系统特性的研究。

4·And this difference may be induced by the nonlinear function of piecewise-smooth map.

这个差异可能由分段光滑映象函数的非线性造成。

5·Image denoising with second order non-linear diffusion PDEs often leads to an undesirable staircase effect, namely, the transformation of smooth regions into piecewise constant ones.

利用二阶的非线性扩散方程进行图像去噪易产生具有“阶越效应”的去噪结果，也即使分段光滑的图像变为分段常量的。

6·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。

7·In this paper, we present a new nonlinear complementarity (NCP) function which is piecewise linear-rational, regular pseudo-smooth and has nice properties.

提出了新的弱正则伪光滑非线性互补(ncp)函数，该函数具有良好的性质。