查询词典 piecewise continuous function

In (1), the nonlinear function f is a known nonlinear continuous function of x , and the control gain g is a known nonlinear continuous and locally invertible function of x .

在（1）中， f是一个关于已知的非线性连续函数 x 的非线性函数，控制增益 g是关于 x 的已知的连续非线性的函数。

If is continuous at ,, and is continuous at , then the composite function is also continuous at .

若函数在连续，且，而函数在连续，则复合函数在也连续。

Firstly, we consider SIQR epidemical models with continuous and pulse vaccinations; the reproduction numbers have been obtained for those models; by using Dulac function, we prove the global stabilities of equilibrium of SIQR model with continuous vaccination. In the SIQR epidemical models with pulse vaccinations, we have also discussed the existence of the infection-free periodic solution, the global stabilities of the infection-free periodic solutions, and the effectiveness of pulse vaccination and continuous vaccination policies has been compared for the two models.

文中首先考虑具有连续免疫接种和脉冲免疫接种的SIQR传染病模型，分别获得了它们各自的基本再生数；利用Dulac函数方法证明了具有连续免疫接种的SIQR模型无病平衡点的全局渐近稳定性；在脉冲免疫接种下SIQR传染病模型里，讨论了无病周期解的存在性，证明了该周期解的全局渐近稳定性，并且对连续和脉冲接种下的SIQR传染病模型的接种效率进行了比较。

Based on a common Lyapunov function and a piecewise differentiable Lyapunov function respectively, two kinds of new H∞ output feedback fuzzy control design methods are developed.

分别基于一个共同的李亚普诺夫方程和一个分段微分的李亚普诺夫方程，给出了两种H∞输出反馈模糊控制的新设计方法。

To overcome the false result with piecewise constant regions produced by the binary zero-crossing decision process, a hyperbolic tangent function is used to substitute the symbol function, governing softly the varieties of gray levels of pixels beside the zero-crossing of edges.

为了克服二值的零交叉决策过程导致的虚假的分片常数图像，利用双曲正切函数代替符号函数，柔和地控制边缘的零交叉点两侧像素的灰度值变化。

For linear complementarity problems , a new smooth merit function is constructed, the linearity of LCP is well preserved as the piecewise quadratic convex property of it. By using the merit function a new Lagrangian multiplier method is proposed.

对线性互补问题，首次得到一种乘子固定时具有分片二次凸性质的光滑价值函数，它在光滑条件下完好保持了原问题的线性性质，基此提出了Lagrange乘子法。

At last ,the piecewise linear interpolation function is applied to deal with complicated constraints conditions for solving the objective function .The simulation results on the three gorges cascaded hydropower system long term optimal dispatch under the flood and dry power price and comparison with other algorithms show that it is greatly efficient to solve engineering optimal problems with complicated constraints.

针对模型中复杂的约束条件，采用分段线性插值函数实现了对目标函数的求解，并通过对丰枯电价下三峡梯级水电系统长期优化调度问题的计算及与其它算法的对比，验证了该算法可运用在解决具有复杂约束条件的工程优化问题中。

To obtain more practically optimal solutions for production planning in chemical enterprises, piecewise linear function and polynomial function were used to model nonlinear unit consumptions.The optimal solutions obtained by the two approaches were compared in case studies.

为了得到更切合实际的化工企业生产计划优化结果，采用分段线性函数和多项式函数对非线性单耗问题建模并进行比较。

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。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。