可微的

Gerber and Shiu (1998a) and Tsai and Willmot (2002) all consider the renewal equation for the expected discounted penalty function at ruin Ф and its decomposition in this risk process. In their proceeding, they assumed the twice continuous differentiability of Ф,Ф〓,Ф〓 as a premise but its proof isn't obvious.

Gerber and Landry（1998）及Tsai andWillmot（2002）考虑了此模型下的破产时罚金折现期望Ф所满足的更新方程及其分解后的因子Ф〓和Ф〓，但它们的推导过程都是在假定Ф，Ф〓，Ф〓连续且二次连续可微的前提条件下进行的，但实际上此前提假定的成立并非显然。

These problems in reality can be classifies into two major categories: transport bilevel programming problems with deterministic user equilibrium constraints and transport bilevel programming problems with stochastic user equilibrium constrain...

此文首先从模型和算法的角度总结了有关这类问题已有的研究成果，接着介绍有关这方面的最新的研究进展，即如何把用户基于平衡原则下的交通网络优化问题的双层规划模型统一地转换为一个连续可微的单层最优化问题，并设计统一的算法。

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。

The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS .

文章介绍一类可微的分形插值函数，探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件，在此基础上给出样条分形插值函数的定义，并讨论它所具有的部分收敛性质。

Another Two Forms of Necessary and Sufficient Condition of Differentiable Complex Function;2. The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS.

文章介绍一类可微的分形插值函数，探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件，在此基础上给出样条分形插值函数的定义，并讨论它所具有的部分收敛性质。

In this paper continuous differentiable conditions of output response functions of bidirectional associate memory neural networks are reduced to Lipschitz condition.

因此，本文将双向联想记忆神经网络的输出响应函数连续可微的假设削弱为满足Lipschitz条件，通过引入Lyapunov函数，利用不等式的方法，证明了双向联想记忆神经网络全局指数稳定性的一个定理。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

In chapter 2, we firstly introduce the model of a discrete-time neural network with generalized input-output function. 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该模型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。

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。

Researching and developing riderless bicycle is a important work offering scientific and actual significance . Internal and overseas research actuality was summarized in this paper , existent problems was analyzed , and then primary development direction of riderless bicycles was presented .

而自行车机器人实际上就是一种无人驾驶的自行车，因此，自行车机器人的控制问题相当困难，如不能采用连续或可微的纯状态反馈实现系统的渐近稳定，不能采用非线性变换实现整体线性化等。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。