离散的

This thesis consists of two parts. The first one was that boundary value problem was discrete with five point difference method. Three kinds of memory formats were studied, which were full matrix, half band width and row compress sparse. Full matrix memory format and half band width memory format first was contrasted. The results show that half band width has efficiency in space. Then the algebraic system of finite element method was solved by Gauss-Seidel iteration method to popular row compress sparse memory format.

本论文由两部分组成，第1部分针对边值问题，用5点差分格式进行离散，并对离散矩阵这类大型稀疏矩阵，研究了系数矩阵的3种存储格式的优劣，即：满矩阵存储格式、半带宽存储格式和按行压缩稀疏存储格式，首先我们将满矩阵存储方式和半带宽存储格式进行了对比，迭代法的数值实验表明：利用半带宽存储的矩阵在空间运算方面具有高效性；然后针对目前数值实验中流行的按行压缩稀疏存储格式，实现了有限元离散代数系统的迭代法的求解。

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。

The effective prediction space concept is established, On the base of these, this paper deduces two representations' evaluating equation, one evaluates the prediction error and the other evaluates the prediction error in limited space. First, the error transfer characteristic among subsystems at different space locations is analyzed, and the direct transfer characteristic from discrete standard measure space to the workpiece measure space under measured in measure system is proven. Second, the error reconstruction condition and method of mapping from discrete standard measurement system to continuous standard measurespace are analyzed.

分析了不同空间位置子系统间的误差传递特性，证明了在测量系统中离散标准量值空间向被测量工件量值空间的直接传递性；分析了离散标准量系统向连续量值空间映射的误差重构条件和方法；基于测量样本的有限距离的平稳性，证明了预报模型对动态测量误差的有限收敛性和预报误差的可测度性，进而证明了以离散标准量值系统对被测工件预报修正的可行性和合理性。

In ordor to weave the varied weft density fabric of which weft distribution pattern is prescribed in sections,the definition field of fabric′s weft density function is divided into continuous and discrete intervals according to the variation characteristics of weft density of fabric.

为织造出分区段设定纬密变化的疏密纬织物，根据织物的纬密变化特点，把织物纬密函数的定义域分成连续区间和离散区间；在此基础上，对于分段连续且可能存在间断点的连续区间，建立了卷取量方程；分析并确定了织物各纬卷取量的解区间，给出了卷取量的求解方法——以解区间足够小为解判据的二分法，并阐明了求解方法在间断点处的有效性；对于由离散点构成的离散区间，给出了区间端点卷取量的取值方法和区间中各纬卷取量的确定方法。

Weft distribution pattern and its input of fabric with varied weft density ;2. In ordor to weave the varied weft density fabric of which weft distribution pattern is prescribed in sections,the definition field of fabric′s weft density function is divided into continuous and discrete intervals according to the variation characteristics of weft density of fabric.

为织造出分区段设定纬密变化的疏密纬织物，根据织物的纬密变化特点，把织物纬密函数的定义域分成连续区间和离散区间；在此基础上，对于分段连续且可能存在间断点的连续区间，建立了卷取量方程；分析并确定了织物各纬卷取量的解区间，给出了卷取量的求解方法——以解区间足够小为解判据的二分法，并阐明了求解方法在间断点处的有效性；对于由离散点构成的离散区间，给出了区间端点卷取量的取值方法和区间中各纬卷取量的确定方法。

In chapter three, the elliptic curve discrete logarithm problems on the elliptic curve finite group are discussed.

第3章在介绍有限域上的离散椭圆曲线的基础上，深入讨论了椭圆曲线有限群上的椭圆曲线离散对数问题，研究了目前已知的椭圆曲线离散对数问题的几类求解算法，分析了这些算法的特点和应用范围，并总结归纳出了一系列的安全椭圆曲线选取准则。

The dissertation focuses on performance gradient estimation and SRO algorithm of DES aswell as other related topics,such as modeling of DES and discrete event simulation,performancemeasure Hessian matrix estimation,Stochastic Approximationand so on.General Semi-Markov Processis adapted to describe behaviour of DES and discrete eventsimulation.A general result is obtained and applied to analyze strong consistency of performancegradient Perturbation Analysisestimator.Conditions for effectiveness of InfinitesimalPerturbation Analysisare also discussed.New PA algorithms,such as server PA,PA usingDirac generalized function,job sequence PA etc.,are proposed to deal with discreteparameters.Furthermore,strategies of combining PA algorithms with certain iterative rules areanalyzed widely in order to optimize DES parameters and some SRO algorithms are constructed toslove DES optimization problems.

论文将DES性能分析领域中性能梯度估计和单运行仿真优化作为主要的研究对象，探讨了与性能梯度估计有关的DES和离散事件仿真过程建模、高阶导数估计以及随机逼近等理论和方法；建立了具有一般性的DES和离散事件仿真的广义半Markov过程模型；获得了分析性能梯度估计量强相合性的理论结果和无穷小摄动分析算法应用的条件；提出了诸如服务台数目的摄动分析、奇异摄动分析、串联生产线和加工车间中工件加工序的摄动分析等一系列摄动的思想和算法，对连续参数和离散参数都进行了深入的研究；对摄动分析算法同优化规则结合实现仿真优化的策略也进行了广泛的分析，构造了新型的变界截尾的随机逼近算法，并用于DES的单运行仿真优化研究；最后，给出了DES性能分析方法的实证性研究结果。

The digital algorithms of integral and discrete wavelet transform are presented for purpose of electric power system protection, based on the analysis of wavelet transform for sampled digital signals under the Shannon sampling theorem.

从电力系统继电保护应用的角度，结合香农采样定理，深入探讨了连续信号和离散信号的小波变换的关系，给出了离散信号的积分小波变换和离散小波变换的数字计算方法。从理论上研究了信号小波变换的误差与尺度函数和小波函数的关系。

The enhanced emission yields of secondary ions induced by Si2 clusters at the low energies are clearly seen and attributed to the vicinage effect of the nuclear collision processes of cluster constituents and the secondary ion emissions are still dominated by electronic stopping processes at high energies.

实验结果显示，在以上的生物样品中，MeV能量离子的能量损失值和TRIM程序模拟的结果相吻合，但是透射离子的能量离散值却与TRIM程序模拟结果有很大的不同。结合生物样品的结构不均匀的特性，对Bohr能量离散理论进行了修正，并发现修正后的Bohr能量离散理论计算结果与实验值符合得很好。

At last, the paper introduces the basic components, layout, loading and unloading process flow of Tian Jin Container Terminals, evaluates the related performance parameters and at last introduces some related empiristic formulas based on the historical data of an actual terminal.According to the idea of the finished eM-Plant hiberarchy and dynamic model and the process characteristics and simulation aims of Container Terminals, the paper introduce the characteristics and modelling process of discrete event;At the specification of eM-Plant ,the paper show the modelling unit and programming function of eM-Plant detailedly .

根据天津港集装箱码头物流系统的层次模型和动态模型的思路，以天津港码头的数据为原型，根据天津港集装箱码头生产作业的特点与仿真目标的要求，介绍了离散事件系统的特点和对离散系统仿真的步骤，在eM-Plant的主要特点说明中，详细介绍了eM-Plant的建模单元和其编程功能，针对本模型的特点，说明了模型的结构和仿真目标，在保持模型主要特点和功能的前提下对模型进行了必要的抽象和简化，然后借助现代离散事件动态系统仿真语言eM-PIant，建立了集装箱码头物流系统的计算机仿真模型，并利用码头的实际营运数据验证了仿真模型的可靠性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。