查询词典 piecewise differentiable function

According to the edge detection theory based on modulus maxima of wavelet transform, an infinitely differentiable wavelet with good antisymmetry was deduced to extract the edges of defects from X ray spot weld inspection images.

基于小波模极大值边缘检测原理，推导出一类具有良好反对称性的无限光滑小波并运用于点焊缺陷的边缘提取。实验表明，该方法能有效地提取缺陷边缘，并能获得较好的效果，从而为小波理论在工业 X射线无损检测中的应用作了初步探

According to the edge detection theory based on modulus maxima of wavelet transform, an infinitely differentiable wavelet with good antisymmetry was deduced to extract the edges of defects from X ray spot weld inspection images.

基于小波模极大值边缘检测原理，推导出一类具有良好反对称性的无限光滑小波并运用于点焊缺陷的边缘提取。

By utilizing an exponential transformation and piecewise linearization technique,transforming the exponential terms into the sum of absolute terms,and linearizing each absolute term,the original problem can be transformed into a linear programming problem which can be easily solved.

使用指数变换及利用分段线性化技术转变每个指数项为一些带绝对值项的和，再将绝对值项线性化，最终将原问题转化为一个线性规划问题。

However, up to now, main research works are only limited to piecewise linear affine systems.

然而，迄今为止，主要的研究工作仅局限于分段线性仿射系统。

Thesis is devoted to construct and analysis piecewise rational splines, algebraic curve and surface for interpolation.

首先对参数曲线曲面、代数曲线曲面等问题的历史背景和研究现状进行了综述，并归纳了本文所做的工作。

A complete series of the piecewise algebraic curve consists of all effective ordinary cycles in an equivalence class {A} and all effective singular cycles which are equivalent specifically to cycle A.

分片代数曲线的完全列是由所有属于同一等价类的有效正常循环以及所有与它特等价的有效奇异循环构成。

Applying multivariate spline theory which was established by Wang RenHong in ( [1] , [2] ), the Nother theorem of algebraic curve [71] is generalized to the piecewise algebraic curve.

1：利用王仁宏在文献（[1]，[2]）中关于多元样条函数的基本理论，本文将代数曲线的Nother定理（[71]）推广到分片代数曲线上，给出了剖分为〓，和星形剖分上的C〓分片Nother型定理。

G^k continuous piecewise algebraic blending surface patches are obtained by solving the system via the generator basis algorithm of module over polynomial ring.

借助围绕一个顶点处的代数曲面光滑拼接条件，利用多项式环上的素模中的生成基方法，给出了凸组合和非凸组合情形下三个坐标平面间的的任意阶几何连续的光滑拼接方法。

As thezeros of multivariate splines, the piecewise algebraic variety is a generalization of theclassical algebraic variety.

分片代数簇作为多元样条的公共零点集合，是经典代数簇的推广，它不仅和许多实际问题如多元样条插值，CAD和CAGD等有关，而且还为研究经典代数几何提供理论依据。

Applying the techniques of real radical ideal, P-radical ideal , decomposition of semi-algebraic set in ( [72] ), affine Hilbert polynomial and B-net form of polynomials on simplex, this paper obtains two theorems of real C〓 piecewise algebraic variety dimensions and the real Nullstellensatz in C〓 spline ring.

4：应用多项式在单纯形上的B-网形式以及文献（[72]）中的实根理想，锥根理想，半代数簇分解定理，本文得出了实C〓分片代数簇的二个维数定理和C〓样条空间的实零点定理。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我