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When there are diffusion effects and Dirichlet boundary conditions, we firstly obtain the conditions such that the system exists positive equilibrium solutions and give the asymptotic expression of these positive equilibrium solutions.

在具有扩散影响和Dirichlet边界条件时，首先利用隐含数定理获得了系统存在正平衡解的条件和正平衡解的渐近表达式。

Firstly, we investigate the Dirichlet problems comparison principle on a bounded subset for this fully nonlinear intergro-differential equation, at the same time we must assume the measure in the intergro-differential item is absolute continuous.

首先研究这类完全非线性积分微分方程在有界区域上Dirichlet问题的比较原理，此时须假设积分项所涉及的测度是绝对连续的。

Firstly, it deals with the data of information system and create the binary discernible matrix.

首先对信息系统的数据加工泛化，构造其二进制可辨矩阵。

At last the results have been applied to the tracking problem of a class of mechanical systems with discontinuous friction term. Chapter 3 mainly deals with uniformly ultimate boundedness of a class of nonautonomous systems with discontinuous right-hand sides and corresponding perturbed systems (in the sense of Filippov solutions). The definitions of globally uniformly strongly ultimate boundedness and globally uniformly weakly ultimate boundedness of discontinuous systems and the definition of globally equiuniformly strongly ultimate boundedness of corresponding perturbed systems are presented firstly.

首次给出不连续系统全局强一致最终有界、全局弱一致最终有界的定义，以及针对于扰动系统的全局强等度一致最终有界性的定义，并基于非光滑的Lyapunov函数得到了不连续系统全局一致强、弱最终有界的Lyapunov定理和扰动系统全局强等度一致最终有界性的Lyapunov定理。

The main objective of this dissertation was to develop methodologies with capability of engineering application for simulating flow in fractured rock using discontinuum models. The study work includes three parts. In the first part, numerical methodology of three-dimensional discrete fracture network model casing on hybrid BEM-channel was presented, and the technique for improve the model's computing efficiency was also studied. Firstly in this part, computer simulation methodology based on the Baechermodel for generating network of discrete fractures was presented, which includes the follow details: probability distributions of fracture density,orientation, trace length, size, and aperture and estimation of their statistical parameters; stochastic models of fracture network; Monte-Carlo's simulation method; numerical simulation procedure and technicality.

给出了离散裂隙网络模型所依据的基本假定；发展了基于Baecher模型的离散裂隙网络计算机随机生成技术：详细地推导了单裂隙渗流和多裂隙相交网络渗流的边界单元法公式，发展了离散裂隙网络中稳态渗流的边界元数值技术，并且讨论了相关的具体数值技术细节，如角点的处理方法，单元的自动剖分等：描述了混合边界元—管流模拟方法及其数值实现；研究了裂隙网络的简化方法，并针对裂隙网络边界元法的特点提出了一种改进的分块三角分解法。

In todays world, one of the prominent problems is in short of honesty and keeping promise, as it follows: firstly, the crisis of credit, the cognitive vagueness of credit and the increase in discreditable conducts.

体现为：一是信用危机，表现为人们对诚信价值认识模糊，社会生活中失信行为增多；二是信任危机，表现为人们对一切都抱怀疑态度，缺乏安全感和信心。

The particle swarm optimization method is applied to NSBM.Firstly the coding approach is designed and then the particles are sequenced using the priority value vectors which make PSO appropriate for the discrete optimization problem.

首先设计了微粒的编码方法；然后采用了基于优先值向量的排序方法对微粒进行解码，有效的利用了微粒群算法在离散优化中的优势；最后利用批调度策略进行分批处理，获得优秀的可行解。

In this paper,firstly trains traffic control is studied with discrete event system theory ana analysis method.

本文中首次将离散事件系统的理论和分析方法引人行车指挥的研究中，为行车指样的研究提供了新的思路。

Firstly, this paper investigates the principle of network simulation according to technology of Discrete Event System simulition.

本文首先依据离散事件系统仿真技术对网络仿真的实现原理进行了研究。

Point clouds are discrete data points without the topology relationship between them. So, to facilitate and expedite the extraction of contour points for the late NPR style, firstly we should simplify the point cloud data. In other words, non-contour points should be eliminated but their contour points and feature points should be retained .

点云数据本身是无拓扑关系的离散数据点集，所以，为了方便和加速后期非真实感绘制风格化所需轮廓点的提取，首先对点云数据进行了"粗略"地简化处理，即剔除点云数据中非轮廓点保留了其轮廓点和特征点；然后应用判定准则提取出所表示物体的轮廓点并对其进行"归并"形成便于NPR风格化处理的特征轮廓线；最后再对得到的轮廓线进行NPR风格化效果"加密"处理。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。