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The former, such as Bettess element and Astley element, needs geometry mapping and shape functions in terms of local coordinates, while for the latter, the shape functions are directly expressed in terms of global coordinates. This paper reviews the state-of-the-art and recent advances of the infinite element method for unbounded domains.

无限元分为映射无限元和非映射无限元：映射无限元需要引入几何映射，在局部坐标系中构造插值形状函数，如Bettess 元和Astley元；非映射无限元则直接在整体坐标系中构造插值形状函数，如Burnett元。

We treat the problem by separating the physical region into two domains useing spherical coordinates and bispherical coordinates respectively.

软球粒子因拥有特殊的物理结构，因此能够更贴切地描述生物粒子或人造复合粒子，也会造成许多不同於硬球的结果出现。

Equations of SBFEM for a seepage problem are derived with a transformation from Cartesian coordinates to scaled coordinates.

通过比例坐标与直角坐标之间的转换，推导渗流问题的比例边界有限元方程。

The unified mathematical description of these two ways usually uses the Cartesian coordinates or polar coordinates formulas.

这两种表示的数学描述通式，一般是在直角坐标系下的点或者矢量表达式。

In the absolute coordinate method, the position and orientation of every rigid body in the system are represented by the absolute coordinates with respect to the reference base of the system, the array of absolute coordinates of the system consists of the absolute coordinates of all rigid bodies.

在绝对坐标法中，每个刚体的位形坐标相对于系统的参考基定义，系统的绝对位形坐标列阵由系统中所有刚体的绝对位形坐标构成。

The application of polar coordinates system in the CNC LATHE-MILLING;2. A fast particle-moving algorithm for particle-in-cell simulation of plasmas in polar coordinates system was proposed, in which the local rectangular coordinates approximation was used in the area near the position of the charged particle at every time step.

提出了一种在极坐标系下快速推进带电粒子的等离子体粒子模拟算法，该算法在每个时间步长内对带电粒子位置附近的区域采用局部直角坐标系近似，并通过坐标变换，得到粒子运动方程求解的显式格式，从而避免了极坐标系下隐式格式直接迭代求解所带来的容许误差，并提高了计算效率。

Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array, a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the Euler's theorem and the coordinate transform is introduced.

由于猎雷艇作为动基座的存在和声纳基阵的框架结构特点，提出了以艇体坐标系为运动坐标系，运用变形的欧拉定理和坐标变换建立声纳基阵相对自身坐标系的旋转运动方程的建模思想；将所建立的矢量形式的动力学模型展开整理，获得了状态矩阵形式的猎雷声纳基阵动力学方程，为系统动力学模型的实用化奠定了基础。

Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array,a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the Eulers theorem and the coordinate transform is introduced. The dynamic equations of minehunting sonar array with the state matrix form are founded by settling the dynamic models with the vector form. So it offers theory foundation for analyzing the dynamic characteristic and designing robust control.

由于猎雷艇作为动基座的存在和声纳基阵的框架结构特点，提出了以艇体坐标系为运动坐标系，运用变形的欧拉定理和坐标变换建立声纳基阵相对自身坐标系的旋转运动方程的建模思想；将所建立的矢量形式的动力学模型展开整理，获得了状态矩阵形式的猎雷声纳基阵动力学方程，为系统动力学模型的实用化奠定了基础。

Kinematics and dynamics modeling and analyzing method of a 3-RRRT parallel robot was studied. Kinematic model of the 3-RRRT parallel robot was set up with both the branch bar's relative coordinates and movable platform's absolute coordinates used as it's generalized coordinates. On the base of Kane's equation, dynamics model of the 3-RRRT parallel robot was built. Dynamic Numerical simulation of the 3-RRRT parallel robot was finished by using Matlab software, and so it provides valuable reference for motion control strategy of the 3-RRRT parallel robot.

研究一种3-RRRT新型高速搬运机器人运动学与动力学建模及分析方法，以支链构件相对运动坐标和动平台绝对运动坐标作为广义坐标，建立了3-RRRT型并联机器人的运动学模型，结合带乘子的凯恩方程建立了3-RRRT型并联机器人的动力学模型，并利用Matlab软件平台进行了动力学数值仿真，进而为3-RRRT型并联机器人的控制策略研究提供参考。

Tunnel group construction control net is laid out on the basis of Xiaolangdi GPS firstorder control network. For convenient and fast setting out, firstly established a coordinates system of to take every tunnel axis as northward, transformed national geodetic coordinates which is original tunnel design adopted into every tunnel＇s construction coordinates.

洞群施工控制网是在小浪底GPS首级控制网的基础上布设的，为便于施工和快速放样，首先建立以每条遂洞轴线为北方向的坐标系，并将隧洞原设计采用的国家大地坐标转换为每条隧洞的施工坐标。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。