查询词典 partially differentiable function

Here the treatment function adopts a continuous and differentiable function which can describe the effect of the infected being delayed for treatment when the number of infected individuals is getting larger and the medical condition is limited.

其中的治疗项采用了一个连续可微的函数，描述了在医疗条件有限的情况下患病者的治疗被耽误的影响和患病个体的数目增大所引起的饱和效应。

We use B-spline smoothing technique to smooth the characteristic function without changing the integral quantity and get a differentiable weight function.

我们用B样条磨光技术在不改变积分值的前提下磨光特征函数，用可微的权重函数代替特征函数，提高了采样的质量。

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。

The first proposes that any differentiable function defined on an interval has a mean value, at which a tangent line is parallel to the line connecting the endpoints of the function's graph on that interval.

第一个定理指出，定义在一个区间上的任何可微分的函数都有一个平均值，在该点的切线与该区间上函数曲线两端的联机平行。

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。

In this paper, by using the method of expanding the hard-edge aperture function into a finite sum of complex Gaussian functions, the recurrence propagation expression for the propagation of partially coherent beams through a multiple apertured ABCD optical system is derived, which provides a fast algorithm for simulating the propagation of partially coherent beams through hard-aperture optics.

用有限个复高斯函数之和来逼近硬边光阑窗函数的方法，推导出了部分相干光通过多个硬边光阑ABCD光学系统传输的递推公式，提供了一种模拟部分相干光通过硬边光学系统传输的快速算法。

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。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。