查询词典 continuously differentiable function

Two mathematical derivations of them have been introduced by using the properties of differentiable function and the derivation algorithm of multiple function in present paper, and several mistakes in some derivative methods have also been pointed out.

介绍了应用可微函数的性质及多元复合函数的求导性质推导热力学中著名的麦克斯韦关系式的方法，指出了有关文献中推导过程的不

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。

When we applied this model to the bank runs in the Credit Department of Farmer's Institutions, it has discovered that there is a bimodal distribution in the hazard rate function, and that is not apropos to continuously hypothesizing it as a single distribution function for the reason that a single distribution function does not include a bimodal distribution hazard function.

当我们将这个模型应用到农会信用部发生挤兑的问题上，发现它的危险率函数呈现双峰的形状，而由於单一分配函数并无法具有双峰型危险率函数，此时如继续假设单一分配函数，并不恰当。

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。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样