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In this dissertation, the author discusses the numerical solution for the direct acoustic scattering problem with the Neumann boundary condition, and pays more attentions to discuss numerical recovering the shape of the obstacle region, which is the inverse problem of the direct acoustic scattering problem with the Dirichlet or impedance boundary condition.

本文重点研究了Neumann边界条价下的声波障碍散射正问题和Dirichlet、Impedance边界条件下的声波障碍散射区域反问题的数值计算方法，得到很好的理论结果和数值结果。

In this paper,regularization method is introduced. The author pays more attentions to investigate the numerical solution for the direct acoustic scattering problem with the Dirichlet boundary condition, and the numerical recovering the shape of the obstacle region which is the inverse problem of the direct acoustic scattering problem with the Dirichlet boundary condition.

本文主要引入正则化方法，研究了针对Dirichlet边界条件的声波障碍正散射问题和声波障碍散射反问题的数值计算方法，并得到了很好的数值结果。

In Chapter 1, the present conditions of numerical methods for the Dirichlet problem, the probability theory which connects with the Dirichlet problem, and the essence and characteristics of the probabilistic numerical method are summarized.

第一章综述了Dirichlet问题数值解的现状、与Dirichlet问题密切联系的概率理论以及概率数值方法的实质和特点。

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。

This paper introduces the food refrigerated theory and the basis of the current industry refrigerated developments in the situation; And then in the long cylindrical-shaped food heat conduction process and the mathematical model using the method of differential thermal conduction equations for discrete, Programming come through long cylindrical-shaped food cooling process numerical solution; After further analysis of numerical solution of the test results; Finally, the impact of the cooling process food all relevant factors, such as moisture content, wind speed and temperature of the cooling medium for in-depth research, while comparing the different shapes of food to food cooling process.

本文首先介绍了有关食品冷冻冷藏的基础理论和目前冷冻冷藏行业的发展的发展概况；然后研究了长圆柱状食品热传导过程的数学模型并利用差分的方法对热传导方程进行离散，通过编程得出长圆柱状食品冷却过程的数值解；之后再分析解对数值解的结果进行验证；最后对影响食品冷却过程的各相关因素，如含水率、风速和冷却介质温度等进行了深入的研究，同时又对比了不同形状的食品对食品冷却过程的影响。

Therefore, the following works was conducted: 1 Setting up different types combination failure model of ice sheet interaction with semi-breakwater, and considering different actual conditions of crushing, bending and bucking failure in the process of ice pileup when ice sheet acts on the semi-breakwater; 2 Applying analysis of non-continuous transmutation for the numerical simulation. This method is a new numerical analysis method of simulating mechanics response of dispersoid, it has a broad application prospect for the simulative questions of ice sheet moving, deforming, breaking and circumvolving after ice sheet occur pileup.

为此，具体进行： 1 建立冰排作用于半圆堤时的不同破坏类型的组合破坏模式，能够考虑到半圆型防波堤前海冰堆积过程中，由于水位的变化和堤前冰块堆积到一定程度在低水位时触底，冰排作用于半圆堤时可能会发生弯曲、挤压、压曲等不同类型的破坏的实际情形。

The tool cycle counter including a numerical display to indicate a cycle count, an actuator which is actuated by completion of a tool cycle, a counter assembly for recording a cycle count in response to actuation of the actuator, and being operably associated with the numerical display, and a substantially cylindrical outer housing encasing the counter assembly.

该工具循环计数器包括用来显示一循环计数的数字显示装置、通过工具循环的完成促动的致动器、用于相应于致动器的促动而记录下一循环计数并且与所述数字显示装置操作连接的计数器组件以及包围着所述计数器组件的基本上为圆柱形的外壳。

Research on the flux boundary conditions in the numerical simulation of line-heating process With the development of computer technique in recent years, the numerical simulation method has been applied more and more widely for the research of distortional mechanism and regulation in line-heating process.

1水火弯板数值模拟中热边界条件的研究近几年随着计算机技术的发展，数值模拟法在对水火弯板变形机理和变形规律的研究中得到了越来越广泛的应用。

Also in the 3-D space, we assign the 20 amino acids to 20 vertices of the dodecahedron. By the symmetry of the dodecahedron we obtain 3-D representation of 20 amino acids, and 3-D graphical representation and the corresponding numerical sequence of protein sequences. And similarity and dissimilarity analysis based on the invariants of graphs and characteristics of numerical sequences are given for nine RNA secondary structures of RNA-3 of virus. We construct sequence phylogenetic tree of a group of cytochromes C protein.

在DNA三联体密码子表示的基础上，在半复平面上给出了蛋白质序列的非退化的2-D图形表示，同时利用复向量的主要特征—模和相位，给出了蛋白质序列的一种数值刻划，进一步在3-D空间里，把20种氨基酸分别分配给正12面体的20个顶点，根据正12面体的对称性得到了20种氨基酸的3-D表示，进而得到了蛋白质序列的3-D图形表示和对应的数字序列，并利用图的不变量和数字序列的特征比较了9种动物的神经元

In this paper,a numerical solution for radial journal bearings with liquid hydro-dynamic lubrication is analysed, numerical expressions for oil fiton pressure, bearing capacity , friction moment,and leakage at the bearing ends are derived,bearing capacity,flow rate, friction moment,and eccentric angle of the load under 14 different temperatures and 14 different load eccentricities are calculated.

采用数值法分析解算液体动压向心滑动轴承，推导了油膜压力、承载力、摩擦力矩和端泄流量等的数值表达形式，计算了14个不同温度点及14种不同偏心率下的承载力、流量、摩擦力矩、载荷偏位角，并通过AUTOCAD绘制了它们之间的影响曲线。认为偏心率及油温对承载力影响很大，设计时应加以限制。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。