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Finally, based on the geometric model and arithmetic for the coordinates of spherical circular hole series, this paper demonstrates how to convert the planar measuring and calculating results to three-dimensional measuring results, and exhaustive experiment results validate the precision this measurement could achieve.

最后建立了球面孔系坐标的几何模型及算法，实现二维测量到三维测量的转换，并以详尽的实验结果对本测量系统所能达到的精度进行验证。

Through constructing the function between the radius of a sphere and its auxiliary variables, the radius can be obtained if one of the coordinates of each spherical point is measurable and the other two are constant and unknown.

当球面点的坐标分量之一已知，而另外两个分量固定不变但未知时，通过建立球半径与辅助变量之间的关系，可达到测量球半径的目的。

In order to understand the dynamic mechanism of the upwelling phenomenon,we used a three-dimension high resolution turbulent closure circulation model in spherical coordinates based on the modified ECOM_si model to study this upwelling.

为了解该上升流的动力机制，作者利用基于ECOM_si建立的一个水平球面坐标系的高分辨率湍流闭合的三维环流数值模式研究该上升流现象。

In order to calculate the electric field intensities of spherical electrode s in 3-D electrostatic fields precisely,the spherical surface curve triangular BEM which is based on spherical coordinates transformation is put forward.

为了精确计算三维静电场中球形电极表面的电场强度，提出了基于球坐标变换的球面曲边三角形边界元法。

Thirdly, we adopt the Jacobi approximation in the radial direction and thus overcome the difficulty of dealing with the singularity of equations at the center of ball. which is caused by the spherical coordinates. Furthermore.

第二，我们在球面上采用球面调和逼近，而在半径方向采用Jacobi逼近，从而既克服了奇异性的困难又将原问题转化为便于并行计算的简单问题。

The scheme can effectively correct the static errors in the magnetic tracking system. The employment of spherical coordinates significantly reduces the calculation complexity in calibration.

此方法能够有效地校正电磁跟踪系统中的静态误差，通过应用球坐标系显著地降低校正计算的复杂程度。

A look-up table containing data of tracked values for certain positions in the working space, spe-cified in spherical coordinates, is generated first, which is then used to calibrate the tracking results by a two-dimensional interpolation.

首先建立一个球坐标系下被跟踪对象的测量位置和实际位置的对照表，然后以二维插值的方式利用此对照表中的数据对测量数据进行校正。

The workspace of this arm is half a thick spherical shell, and end effector positions are best described with polar coordinates.

工作区的这个部门是成功的一半厚球壳，并最终效应的立场是最好的描述，极坐标。

In the method, the orbit of targets and the radar coordinates and parameters are put to calculate attitude and dynamic parameters of targets in line of sight. And then the dynamic data are generated according to the electromagnetic modulation model of the movement of targets including motion at high speed, spin, precession on electromagnetic wave.

该方法首先确定目标的轨道和雷达的布站坐标及工作模式，而后计算目标在雷达观测视线(line of sight， LOS)方向上的姿态和运动参数，最后根据空间目标高速运动、自旋、进动等在电磁波上调制的数学模型生成动态测量数据。

According to road designing data of mileage,coordinate,azimuth angle of tangent or straight line,curve radius,the length of spiral line from main point of curve or straight line starting point,we can calculate the coordinates of center line points and boundary line point s in any form of road under the same coordinate system.

根据线路设计资料提供的曲线主点里程、坐标、切线方位角、曲线半径、缓和曲线长度的已知数据，计算出任意线形的中桩、边桩在线路统一坐标系中的坐标，利用全站仪极坐标放样程序，以线路附近的控制点或加密点为测站，准确、快速放样各点。

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。