查询词典 piecewise differentiable function

The improvements consist of two parts: 1 generalizing the PDE based approach to contrast enhancement to adapt to any specified stretch function for global and local contrast enhancement; 2 proposing a piecewise linear stretch function design method to achieve better histogram equalization.

改进包含两个方面：1 修改并推广了原有的基于PDE的灰度增强方法，使之可适用于任何设定的灰度拉伸函数；2给出了一种通用的分段线性拉伸函数设计方法，它较采用累积直方图作为灰度变换函数可达到更好的直方图均衡化效果。

Comparatively, the quadratic function approach was lack of these advantages.The piecewise linear function approach has been implemented in the graphical modeling system for optimal production planning of chemical companies, and the system is used in Baling Branch Company Sinopec.

分段线性函数建模方法已经在化工企业生产计划图形建模优化系统中实现，并在中国石化巴陵分公司得到应用。

An extra force is produced using the piecewise-constant MS model during the segmenting. In each time step, the additional force is added to reinitialize the level set function, advance the speed of the curve evolution. Otherwise, a nonlinear function Ψ is introduced to instead of u+ and u-for edge preserving in MS model.

该方法在分割过程中利用分段常数MS模型产生一种驱动力，在每个时间间隔加入这种驱动力来推动水平集函数的进化，提高曲线演化速度；另外，通过在MS模型中引入一个非线性函数Ψ代替u+和u-实现保边。

The basic idea behind recursive subdivision is to create a function by repeatedly refining an initial piecewise-linear function f〓 to produce a sequence of increasingly detailed functions f〓, f〓...

细分的基本思想是通过对初始分片线性函数f〓不断地加细加密得到一系列越来越精细的函数列f〓，f〓。。。，最终得到该函数列的极限函数f。

Error analysis and estimation of the second order extended state observer were done by noncontinuous piecewise Lyapunov function, and the system stability were proved by multiple Lyapunov function method.

利用非连续的分段Lyapunov函数进行二阶扩张状态观测器的误差分析与估计，并用多Lyapunov函数方法证明了系统的稳定性。

Several improvements has been made to the existing error analysis as follows: considering the complete form of the fal function in the error analysis; choosing the noncontinuous piecewise Lyapunov function to get better choose rule of parameters; giving the judging criteria of error convergence for the ESO with different parameters and the convergence value of the error.

在现有误差分析的基础上做了如下改进：误差分析中考虑fal函数的完整形式；选用非连续的分段Lyapunov函数，得到了更好的参数选取规则；给出了不同参数下扩张状态观测器误差收敛的评价标准以及误差收敛值。

The piecewise function is a kind of expression of specific functions, secondary school mathematics is an important function model.

分段函数是一类表达形式特殊的函数，是中学数学中一种重要函数模型。

Basically, a spline function is a piecewise function, each segment of which defines a traffic condition (e.g., congested or uncongested).

其中，每一曲线被表达成两个直线方程的组合。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，从而得到了从函数可积性到连续性，从连续性到极限存在性的函数特性理论，即可积函数中极限的几乎处处存在与几乎处处连续是等价的，得出比正规函数更加宽泛的统一条件，得出了有界变差函数是可积函数的结论。

This article intended to analyze and compare its function in English and Chinese social communication from the following aspects: protocol function in personal communication; active function in language speaking; humorous function in making the meaning of words more funny; deceit function in coving up the truth; ironic function in lashing out against the society and human nature.

本文从五个方面分析和比较了委婉语在中英社会交际中的功能，即：人际交流中的礼仪功能，言谈措辞的积极功能，使语言妙趣横生的幽默功能，掩盖事实真相的欺骗功能和鞭挞社会，人性的讽刺功能。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。