坐标系的

Application and development of platelet transpiration cooling technology in LRE;2. The Computation and Analysis of Heat Transfer of Platelet Cooled Microchannel on the High Temperature and High Pressure Gas Wall;3. Physical-mathematic model is built for the process of evaporation and combustion of the two interactive arbitrary size semisphere pearly transpiration droplets in platelet hole structure under micro-gravity condition.

针对微重力条件下层板孔隙结构中两个相邻任意尺寸半球形珠状发汗的蒸发与燃烧过程，建立了相应的数学物理模型；在双球坐标系中求解分子扩散传质偏微分方程，得到发汗液珠的分子扩散组分分布的解析解和扩散速率表达式；分析得到在常温、高温条件下蒸发以及燃烧状态下发汗液珠的相互作用因子式，计算了相互作用的发汗液珠在不同条件下的发汗蒸发量以及变化趋势。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

For example, we study the properties of the"centroid curve" and the"auxiliary curve", and identify two planes in which these two curves are defined respectively; we also use the idea of homotopy method to prove a fact that the orbit of a differential system has no triple contact point with the line we considered. Another key technique, which we use several times, is deformation argument.

例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一坐标系中考虑；利用拓扑中同伦的思想来证明微分系统的轨线不可能与某条直线三重相切；利用几何方法与分析计算相结合证明了某一曲线是正则的；以及连续变动参数的技巧。

At first, we give the more precisely expression of the system in some sufficiently small neighborhood of the saddle point under some suitable transformation, and use the foundational solutions of the linear variational equation of the unperturbed system along the homoclinic or heteroclinic orbits as the demanded local coordinate system.

首先，我们在鞍点的充分小邻域内给出系统在适当的变换下的更加精确的表达形式，利用未扰系统沿同宿，异宿环的线性变分方程的基本解组作为系统在同宿，异宿环的小管状邻域内的新的局部坐标系。

The algorithm uses the six-dimensional Legendre orthogonal coefficients to form a vector for describing the shape of glottal flow derivative.

该方法将声门波导数波形在6维正交勒让德坐标系中的投影构成了描述其形状的特征矢量，并采用基于GMM的概率分类加权转换算法，使每个特征矢量的转换规则可由多个类所对应的规则的线性加权组合得到，可以使转换性能得到较大的提高。

The dissertation systematically analyses RV-M1 robot which is used in this study, thoroughly dissects the hardware and software of RV-M1 robot's controller, upbuilds RV-M1 robot's model and coordinate system, develops the robot's forward kinematics formulation, solves the robot's kinematics negative problem, develops RV-M1 robot's dynamic formulation in Lagrange-Euler form, does linearization about robot's dynamics model, and gets this robot's sign solution In order to solve practical problem in the process of robot automatic polishing, this dissertation makes some beneficial researches and trials.

本文比较系统地分析了本论文研究中采用的RV—M1型机器人，较为详细地剖析了RV—M1型机器人系统的控制器硬件、软件，建立了RV—M1型机器人模型及其坐标系，推导出了该机器人的正向运动学方程，并对机器人的运动学逆问题进行了求解；推导了RV—M1型机器人的Lagrange—Euler形式的动力学方程，对机器人的动力学模型做了线性化，给出了该机器人的符号解。

In the fifth chapter, the stall regulated wind turbines are simulated on the zero-yaw and yawed configurations. The former are solved under non-inertial rotating coordinate system and the latter under inertial coordinate system.

第五章为风轮叶片的流场数值模拟，对失速限制型风轮叶片(NREL Phase-Ⅵ)在轴流和偏航状态下的流场进行了数值模拟，其中轴流状态采用在旋转坐标系下进行求解的方法，研究了风轮叶片在经历失速前后的流场变化、桨叶载荷分布，对所产生的扭矩、以及附加的在挥舞和摆振方向的力矩进行了分析。

First, based on the relations of stress and strain between the whole medium and its macroscopically isotropic constituents, an explicit relation between elastic matrices of the whole medium and its constituents was derived. Combining the explicit relation of elastic matrices with the strain's relation, two coefficient tensors were defined and analyzed to get a general relation between the hulk and shear modulus of the whole medium under the assumption that all the field variables are in a unified coordinate system. Secondly, combining these relations with the classical Hashin-Shtrikman elastic modulus bounds, four new expressions of elastic medium of the whole medium were obtained and compared with the original hounds. Last, these formulae were applied in the computation of effective elastic moduli of clean sandstone saturated with pore water.

首先基于整体介质与宏观各向同性组分满足的应力和应变组分关系，推导出整体介质弹性矩阵与组分弹性矩阵之间的显式关系，联合其应变关系，定义和分析了对应的两个系数张童，并据此导出了相关场变量位于统一坐标系时整体介质体积模量与剪切模量的关系；然后将经典的Hashin-Shtrikman弹性模量边界模型与上述关系式结合，得到4个新的整体介质弹性模量的估算公式，再与原始的Hashin-Shtrikman弹性模量边界进行了比较，最后针对饱和水纯净砂岩介质进行了试算。

On the basis of analyzing the theory of the modeling of the propeller surface, this paper transforms the section data given by design to the data in Descartes coordinates. Interpolates the section data to get enough data and fits the blade surface with the least square method. A perfect C2 blade surface can be obtained by adjusting the deviation weight and fairing weight. According to the cylinder rough, two rough cut methods are preferred.

本论文在深入分析螺旋桨曲面成型原理的基础上，将设计时给定的桨叶曲面的切面数据转化为笛卡尔坐标系中的坐标，利用B样条方法对截面数据点插值并加密，得到足够的数据点，进而利用最小二乘法拟合出桨叶曲面，通过调整偏离权和光顺权得到了理想的二阶连续的桨叶曲面。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先，通过方位角的Fourier变换，将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组，基于径向Hankel变换，建立问题的状态方程，求解状态方程后得到传递矩阵；其次，利用传递矩阵，结合层状饱和地基的边界条件、排水条件及层间接触和连续条件，给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解；然后，按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程，并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程，并给出了算例。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了