坐标系的

To analyze the feature of dam-break flow in natural channel bends,channel-fitted orthogonal curvilinear coordinate system is established and two-dimensional shallow water equations are derived in this system through coordinate transformation,simplification and depth integration.

为分析溃坝波在天然弯曲河道中传播的特点，建立了跟踪河道走向的正交曲线坐标系，并通过坐标变换、简化和水深积分推导出了曲线坐标系下的二维浅水方程。

By coordinate transformation,specifically,by using orthogonal coordinate system to obtain vertical high resolution ratio in superstratum water of Beibu Gulf and making use of Sigma coordinate system to match terrain in bottom water,the authors intend to set up Beibu Gulf Physical Oceanic Model and use the model to simulate partial tide M\-2,partial tide K\-1 and partial tide O\-1 respectively.

采用坐标变换方法，在北部湾上层海洋采用正交坐标系以获得垂向高分辨率，在底层水体采用 Sigma坐标系以拟合地形，建立北部湾的物理海洋模型，并利用建立的模型分别模拟北部湾的 M2 、K1 、O1 分潮。

The transformation between coordinates of light wave and coordinates of polarimeter was determined by Euler's angles. The direction of vibration passed by polarimeter and its value was studied.

利用欧拉角表示光波坐标系和偏振器坐标系之间的变换，得到透过偏振器后偏振光的振动方向及其大小的数学表述，给出了简化表达式及其使用条件。

Put forword the determine a method on the direction of the tangent and the radius of the curvature.

指出了在自然坐标系中应用动力学方程解题的问题所在，提出了自然坐标系中切向及曲率半径的确定方法，并通过例题，说明理论的应用。

Engineers can compare calculation results with the tunnel design curve in order to obtain deviation values of horizontal position, vertical position and angles of the shield machine, and can adopt these results to control tunneling operations of the shield machine.

隧道设计曲线是在城市三维坐标系中设计的，要得到盾构机掘进过程中的误差，就必须通过测量计算得到盾构机在绝对坐标系中的坐标位置和方位角。

Firstly, the object's position and orientation are determined by a vision system, the orientation of an object is the angle between the X-axis of the coordinate system and the axis of the least moment of inertia of the object in this system, and the position value is the vector between the coordinate zero point and the object's centre of gravity.

第一步利用视觉转动惯量法对任意放置在CMM工作台上的工件状态进行定位和定向；第二步利用测量离散点和模型投影点之间的关系，求取工件坐标系和设计坐标系之间准确的转换关系。

The numerical model is tested by computing wave field for several experiment terrain, and agreement between model results and available experimental data is found to be quite reasonable, which demonstrates the model's ability to simulate wave shoaling, refraction, diffraction and reflection et etc.

因此，文中在前人关于Boussinesq方程波浪数学模型研究的基础上，从质量守恒方程和Euler方程出发，推导了正交曲线坐标系下的改进型Boussinesq方程，进而建立正交曲线坐标系下的二

Tow coordinate systems are confirmed on the movement plane of mobile robot. The dynamic equations that relative position changes between robot and bar are established in one of the tow coordinate systems. Movement track of bar are forecasted by theory. Simulation experiments show the method is effective.

确定了移动机器人在移动平面上的2个坐标系，并在其中一个坐标系中建立了机器人与障碍物相对位置变化的动态方程，运用Kalman理论障碍物动态轨迹进行预测，仿真实验表明该方法可对障碍物位置变化进行有效的预测。

In this work,the volume data is encapsulated firstly and its logistic coordinate is defined,then the direction vector and the center of the cutting plane are calculated,the movement route of the plane is solved,specially a new sampling rule in cutting plane is presented.

该方法首先对体数据进行封装并定义逻辑坐标系，接着在逻辑坐标系中计算剖切平面的法向量和中心，求出平面的运动轨迹方程，并提出一种新的剖切面采样准则。

The relations of parametric equations with the route coordinates and the part coordinates are found out according to the curve model,the parametric equations of middle and side stakes in circular curve and easement curve are derived,thence the value of parameters is obtained,the solution procedure is got.

根据曲线模型，找出线路控制坐标系与局部坐标系坐标之间的参数方程关系，推出了缓和曲线及圆曲线中边桩坐标的参数方程，代入已知量求得参数的值，给出了求解步骤。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。