解析式

For gas flow past cylinder, the characters of flow field in different Mach number and Knudsen number condition were investigated, and especially for low Knudsen number cases, the results were compared with calculating results of Euler's equation. It showed that they are correspondent by comparing the characters of bow shock and wake. The convergence rates of different high resolution and implicit schemes were also investigated. The convergence behavior of the implicit WENO scheme developed in this paper is better than others. For gas flow past NACA 0012 airfoil, the calculating results were compared with results of experiment. It showed that the results of WENO scheme are of higher accuracy for the case with angle of attack.

在圆柱流场时，我们探讨不同马赫数且不同纽森数时的流场特性，并在低纽森数时，与那维尔-史托克方程式的计算结果比较，我们比较了弓形震波及尾流附近的特性，其结果是相当符合的，同时我们也比较不同高解析隐式算则的收敛历程，从收敛历程图可得到，本文发展出来的隐式WENO算则有较佳的收敛效果；在NACA 0012翼形的流场中，我们将与实验结果做比较，发现利用WENO算则计算的结果，对於具有攻角的流场，亦有相当高的准确度。

Using the apparatus of high stress and high hydraulic pressure developed by author, a series of tests was carried out, and the expressions of dewater consolidated settlement with hydraulic pressure and coefficient of permeability with efficient stress was obtained.

通过自行设计的高应力、高水压试验装置，进行了一系列的试验，获得了疏排水沉降量与水压变化、渗透系数与有效应力之间的关系表达式；首次对回归系数的主要影响因素从颗粒级配的特征粒径和特性参数入手，进行了系统的分析；得到了压缩模量与水压降的正相关关系式；提出了一种简便、易行的先期固结压力的确定方法，并对深土力学特性进行了初步研究；推导了各种边界条件下Terzaghi 和Biot 固结理论的水头及沉降量的解析解或半解析解；编写了隐式差分

In this thesis, with the aid of the method of reconstructive direction cosine matrices of the analysis and synthesis of spatial mechanism, the more overall and systematic theoretical research is done about trident-bar universal joint and drawn some useful conclusions about kinematics analysis, dynamics analysis, kinematical precision analysis, vibration analysis, simulation and experimental results analysis, mechanism type selection analysis based method of fuzzy distinguishable pattern, integrated designing prototype system.

本文以改造的方向余弦矩阵为数学工具，以三叉式万向节为研究对象。进行了机构有关的解析求解、仿真和试验结果分析，基于模式识别技术的机构选型及机构的集成设计原型系统，得出了以下结论：(1)采用改造的方向余弦方法适用于空间机构的运动求解及动力求解。它的特点是解析明了，以矩阵方式体现，适合计算机求解。并以万向节为实例进行了万向节的详细的运动分析，建立了求解的各个变换矩阵，得出了机构的详细的运动关系。

Utilizing plane sectorial domain Hamilton system function via variable substitutes and eigenfunction expansion method, an analytical element is proposed in this paper for the crack analysis of reinforced concrete structures combining the bridging model and Dugdale model. Combined with finite element, nolinear crack problems of reinforced concrete structure can be analyzed.

利用平面扇形域哈密顿体系方程，通过分离变量法及共轭辛本征函数向量展开法，结合Dugdale模型和桥联力模型，推导了钢筋混凝土结构裂纹尖端的解析元列式，将此解析元与普通有限元结合，可用于分析钢筋混凝土的非线性断裂问题。

The crystal structures of them show the photochromism is due to the photoisomerization only from enol form to keto form. According to the results of structure analyses, the intermolecular proton transfer mechanism is proposed for photochromism. We also observed their acidichromism in solution.

采用单晶XRD法得到了这五种化合物的结构，根据结构解析，推测四种光致变色化合物的变色机理可能是分子间质子转移，即吡唑啉酮由烯醇式结构变为酮式结构。

For the American put option and binary option which do not have analytical solution, we propose algorithms based on explicit scheme and implicit difference scheme and then

对不存在解析解的美式看跌期权和两值期权分别给出了显式、隐式差分算法，并对格式的相容性、稳定性、收敛性进行了分析。数值实验结果表明这种方法是有效而实用的。

Based on the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques are employed to develop a novel analytical finite element for the fictitious crack propagation linear force model in fracture mechanics of concrete in this paper.

利用平面扇形域哈密顿体系的方程，通过分离变量法及共轭辛本征函数向量展开法，以解析的方法推导出基于混凝土虚拟裂缝扩展线性粘聚力模型的平面裂缝解析元列式。

Then it is gradually used to replace the optical encoder of a servomotor. However, the resolution of a magnetic encoder is not so good as that of an optical encoder. When the magnetic drum was magnetized the required pole pitch is needed very small in size, in order to satisfy the requirements of the resolution in a servomotor.

然而，磁性编码器的解析度尚不及光学式编码器，为了磁性编码器可满足伺服马达机构中所要求的解析度，因而当将磁性编码器内的磁环充磁时，其极间距必须尽可能地缩小，以使得可充磁的极数增加。

Based on the inductance model and virtual displacement principle, the general analytical model on magnetic suspension force of bearingless motor in the direction of stationary reference axes had been derived.

通过在该通用解析模型中设置不同的极弧宽度参数，衍生出无轴承同步磁阻电机、表面式永磁无轴承电机和无轴承异步电机的可控磁悬浮力解析模型。

Even so,algebraically explicit analytical solutions covered in open literatures are very few up to now,on account of mathematical difficulties in accordance with analyzing partial differentialequations.

尽管如此，因解析求解各种偏微分方程在数学上有一定的难度，所以，国际上的公开文献中关于代数显式解析解的报道少之又少。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失