查询词典 piecewise differentiable function

In this paper, the existence of the periodic solution for two classes of piecewise symmetric systems is studied, and the certain sufficient conditions for the existence of the corresponding systems are obtained.

本文研究了两类分段对称系统周期解的存在性，得到了系统相应的周期解存在的充分条件。

As an application, the existence of the periodic solution for a class of delay differential equations with piecewise sysmmetric condition is proved.

作为应用，证明了一类具有分段对称性的时滞微分方程的周期解的存在性，推广了现有的相关结果。

This model adapts the prior information of piecewise continuity of image to construct a nonlinear diffusion model,which is used to smooth an enlarged image by nearest interpolation to reduce the blocky effect caused by enlargement,simultaneity,and interpolation condition is added into the iterated process to avoid a too smooth image.

新模型利用图像为分片连续的二维曲面的先验信息，采用非线性扩散方程对基于最近邻方法放大后的图像进行光滑以消除因放大引起的"块状"效应，同时在迭代过程中加入插值条件使处理后的图像能较好的保留边缘，由此构造出基于偏微分方程的图像分辨率增强模型和相应的迭代算法，使图像的分辨率增强到亚像元级。

In addition, a method for the sum of two fuzzy numbers which possibility distributions are piecewise linearization is also proposed to lay a better foundation for utilization of fuzzy load flow analysis.

文中提出的可能性分布分段线性的两个模糊变量和运算方法，又进一步为模糊潮流的工程应用奠定了基础。

The improved piecewise linearization model is proposed based of the AC electric arc theory.

利用交流电弧理论，建立了电弧炉伏安特性分段线性化模型。

Based on the non-linear system and in the light of the characteristics of piecewise linearization of the bumper performance curve in the calculation of train coupling s,the calculation formulas are re-deduced by use of the basic principles of Newmark-β method.

基于非线性系统，针对列车连挂计算中缓冲器特性曲线分段线性化的特点，利用Newmark-β方法的基本原理重新推导计算公式，改进了传统的Newmark-β方法，改善了算法的稳定性，减小了计算误差，使之适用于列车连挂的计算。

The constraints with different linearity in this model are dealt with by an approach that combines successive linearization with piecewise linearization, and in the solving process the security and stability constraints of transmission lines are directly considered to avoid the low-efficiency of both model and solution due to the passive calibration and modifying working constraints in Newton method.

对模型中线性度不同的约束，采用逐次线性化和逐段线性化相结合的方法处理。在求解过程中直接考虑线路安全稳定约束，避免了牛顿法被动校验和变更约束带来的模型和求解的低效性。

First,to deal with the uncertainty of vertical burning velocity,a fuzzy T-S（Takagi-Sugeno）model for burning through point was established based on the piecewise linearization characteristics between burning through point and sinter strand velocity.

首先，基于台车速度和烧穿点之间的分段线性化关系，建立烧穿点的模糊T-S模型。

The dissertation starts with the analysis of voltage-source rectifier. It is analyzed the steady state currents, voltages and their spectrums of uncont rolled single-phase voltage-source rectifier compensated by shunt APF based on piecewise linearization method.

本文以电容滤波型整流电路的分析作为切入点，基于"分段线性化"方法，对并联有源电力滤波器补偿电容滤波型整流负载进行了稳态分析，得到系统的电流和电压波形，进而获得其频谱特性。

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。

My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了，他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

两眼湿润了，她把身子蜷得很小，这样似乎可以更好地闻闻自己。