查询词典 spherical coordinates

Three tool balls , cylinders or holes should be set on it and marked with origin of coordinates, coordinates direction, the relative value between origin of coordinates and that of vehicle coordinates.

并需设有三个测量基准球或柱或孔，并标明坐标原点、坐标方向及坐标原点与汽车坐标原点的相对坐标值。

Crack propagation problems under the influence of the edges of the crack subjected to homogenous loads, the origin of the coordinates subjected to concentrated increasing loads, the central zone of the edges of the crack subjected to homogenous loads, the certain point of the edges of the crack subjected to moving unit step loads, the origin of the coordinates subjected to moving increasing loads Px m, the edges of the crack subjected to instantaneous impulse loads, the edges of the crack subjected to moving concentrated variable loads, the origin of the coordinates subjected to point loads, the edges of the crack subjected to a constant moving concentrated loads and the origin of the coordinates subjected to instantaneously moving impulse loads are studied respectively, and the analytical solutions of dislocation distribution function have been obtained.

同时对裂纹面受均布载荷、坐标原点受集中增加载荷、裂纹面中心区受均布载荷、裂纹面上某点受运动阶跃载荷、坐标原点受运动增加载荷Px m、坐标原点受瞬时冲击载荷、裂纹面受运动集中变载荷、坐标原点受集中载荷、裂纹面受常数运动集中载荷、坐标原点受瞬时运动冲击载荷作用下的裂纹扩展问题分别进行了研究，获得了位错分布函数的解析解。

Many analysis technology and space data are designed by the two-dimensional coordinates or plane coordinate, and used plain map projection methods to storage space coordinates, so many times we all need three-dimensional map projection to convert 3D geographical coordinates into the plane coordinates.

许多分析技术和空间数据都是针对二维坐标或平面坐标设计，以平面地图投影的方式来存储空间坐标，因此很多时候我们都需要利用地图投影将三维的地理坐标转换为平面坐标。

Firstly, we use the mixed coordinates. More precisely, we use the spherical coordinates for independent variables in space, and so avoid the approximation of boundary conditions on the surface, which is required, if we use the Descartes coordinates.

我们所设计的求解Navier-Stokes方程的混合谱格式具有如下的一些特点：首先，我们采用混合坐标方法，即用球面坐标表示空间自变量，而用Descartes坐标表示速度分量。

More precisely, we use the spherical coordinates for independent variables in space, and so avoid the approximation of boundary conditions on the surface, which is required, if we use the Descartes coordinates. Next, we use the Descartes coordinates for the components of velocity, which simplifies the actual computation and numerical analysis essentially.

我们所设计的求解Navier-Stokes方程的混合谱格式具有如下的一些特点：首先，我们采用混合坐标方法，即用球面坐标表示空间自变量，而用Descartes坐标表示速度分量。

The formulae were derived to calculate the spherical coordinates of any vector after the specimen was rotated any angles around any axis based on the homogenous coordinate theory. An example was put forward to show how to use the formulae to calculate the spherical coordinates of the crystal in the synchrotron radiation topographic analysis.

根据齐次坐标理论导出了单晶体绕样品台任意直线旋转任意角度后晶体中矢量坐标的计算公式，并以晶体同步辐射形貌分析的实例说明了如何利用此公式进行矢量计算。

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。

Cosine law of spherical triangles : in the spherical triangle , either side of the hot core corresponding to the cosine of angle equal to each other on both sides of the corresponding hot core product with the cosine angle on both sides of each angle of the sine and the corresponding spherical center piece of any side in the spherical triangle in ...

球面三角形余弦定律：在球面三角形中，任意一边所对应球心角的余弦等于其他两边各自对应球心角的余弦乘积加上这两边各自对应球心角的正弦及任意的那条边在球面三角形中。。。

This thesis contributes to geometry compression in the following aspects: Proposes a method of progressive spherical mesh parameterization based on local parameterization by directly projecting the deleted vertices to its neighborhood. Based on spherical mesh paramterization, an adaptive subdivision remeshing method by progressivly redistributing of sampling points is proposed, by this means, the main geometry information of the original mesh can be captured with only a small amount of samples, it can also be used in mesh simplification. By regarding attributes binded on mesh vertices as geometry signals and transferring them onto a uint sphere by means of spherical mesh parameterization, meshes with different attributes are compressed with spherical wavelet successfully with high compression rate. As a kind of lossy geometry compression technique, two mesh simplification algorthimes are also presented in this thesis.

归纳起来，本文的主要贡献有：提出了以直接投影局部参数化方法为基础的网格累进球面参数化方法；在网格球面参数化方法的基础之上，提出了一种基于累进优化布点方案的网格细分采样方法，该方法可以用很少的采样点就可以捕获到网格的主要特征，因此我们也将其用于后面的网格简化工作当中；通过将网格顶点上定义的各种属性看成几何信号，并以网格球面参数化为手段将几何信号迁移到单位球面上，从而成功地实现了用球面小波对各种几何信号的压缩；作为一种有损压缩方法，本文还提出了基于统一距离的网格简化算法和基于重采样的网格简化算法。

Starting from the Laplace equation, the solution of Laplace equation, in spherical coor dinates, is developed for the boundary value problem approximating the local gravity field over a spherical cap——spherical cap harmonic analysis, and the spherical cap harmonic expansion with integral order but nonintegral degree and practical formulae are given.

从Laplace方程出发，提出了在球冠上逼近局部重力场的大地测量边值问题——球冠谐分析理论，给出了非整阶整次球冠谐展开和实用计算公式。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。