查询词典 piecewise differentiable function

This kind of non-smooth and nonlinear system is smoothed in this paper by using an infinitely differentiable real function instead of the Heaveside function.

积分上限取值对碰摩转子系统响应的影响还与系统的阻尼、不平衡参数、重力参数、碰摩刚度等参数有关。

In order to avoid the Maratos effect,the merit function s used are approximations to Flether s differentiable exact penalty function,and the algorithm updates approximations to one-sided reduced Hessian and two-sided reduced Hessian seperately.

为避免Maratos效应，我们采用Flether的光滑精确罚函数的逼近形式作为价值函数，并且分别对Lagarange函数的单边既约Hessian的近似阵和双边既约Hessian的近似阵进行校正。

The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

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。

A kind of method to determine boundary conditions of interpolating quadric spline function with halfknots as conjunction points, which is C 1 continuous but its second derivative function is piecewise constant, is obtained by means of least squares.

鉴于此，本文利用最小二乘法，获得了一种半节点二次插值样条边界条件确定方法，该方法可以保证二次插值样条在半节点处二阶导数的变化最小，这相当于保证了曲率的变化最小。

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。

Secondly, based on the piecewise continuous Lyapunov function andconstant Lyapunov function, the problems of robust guaranteed cost control forparametric uncertain sampled-data control systems are investigated by using the jumpsystem model and linear matrix inequality technique.

然后，针对参数不确定采样系统的鲁棒保性能控制问题，利用跳变模型和线性矩阵不等式技术，分别基于分段连续Lyapunov函数方法和定常Lyapunov函数方法研究了采样系统的鲁棒保性能控制器综合问题。

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。

After that, based on the CVaR optimization model with transaction costs, we simulate smoothly the piecewise linear function in objective function separately, and obtain the continuous smooth CVaR optimization model. As an application, we explain via an example when the smooth simulation model is applied in the big scale investment portfolio choice problems, its convergence and stability has the enhancement comparing with the above linear model.

其次，在带交易费用的CVaR最优化模型的基础上，将模型目标函数进行了平滑模拟，得到连续平滑的CVaR最优化模型，并经过实例说明，对于较大规模投资组合选择问题，经过平滑模拟后的模型其解的收敛性和稳定性较之原模型的解都得到了提高。

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。