查询词典 stereographic

In the third part, we study an application of stereographic projection transformation in statistics, deriving Box-Muller formula (use two independent uniform random number to generate two independent standard normal random number) and spherical symmetric distribution (a product of a positive random variable and a random vector with uniform distribution) in multivariate statistical analysis.

第3章，研究了球极投影变换在统计中的应用，通过球极投影变换获得了利用两个相互独立的均匀随机数生成两个相互独立的标准正态随机数的Box-Muller公式以及多元统计分析中的球对称分布（一个正的随机变量和一个与之相互独立的均匀分布的随机向量的乘积）。

Furthermore, a method is also given to determine projecting image of the first derivative vectors on a sphere under the stereographic projection.

然后，逆投影回球面得到一条球面有理插值PH曲线。

Second, for removing the influence, we develop the least squares method based on the stereographic projection implemented on a three-dimensional plane. It is described by the expressions:(4.35挆4.39). This method resolves some problem in Multi-sensor alignment on the same platform when the attitude errors are relatively small.

其次为了克服基于二维区域性平面中立体投影所产生的影响，本文推导了基于三维立体投影的最小二乘配准算法，其实现过程见式4.35～4.39，在传感器姿势误差较小的情况下，此算法解决了基于同一平台的多传感器配准中存在的问题。

Stability of 14 high-cut slopes in Guangdong province is analyzed with typical rock mass structure analysis method and stereographic projection method, and with the numerical simulation method UDEC this paper simulated the excavation and reinforcement courses of the important slopes. Some conclutions and suggestions are based the analysis above.

本文结合广东某省道沿线14个高陡岩石边坡的开挖和支护方案的选择设计，运用常用的岩体结构分析方法和赤平投影方法对边坡的稳定性进行了分析，采用UDEC数值模拟方法对一些重点边坡的开挖支护进行了模拟，得出了以下一些结论： 1、边坡支护形式的选择应遵循"安全绿色、水土保持、恢复自然、环保之路"的设计原则。

Based on the study of geological background conditions and the factors inducing the failure of dangerous rocks, this paper explains the distribution and morphological characteristics of dangerous rocks in Fengcheng town, provides the classification of the failure modes of the dangerous rocks in this area, and analyses the stabilities of six representative monomers of dangerous rocks qualitatively by stereographic projection method and quantitatively by limit equilibrium method.

文章在研究凤城危岩所处区域的地质背景条件及危岩失稳的诱发因素基础上，分析了凤城镇危岩体的分布规律及形态特征，根据破坏模式的不同对该区危岩进行了类型划分，采用赤平投影法与极限平衡法对该区6个代表性危岩单体的稳定状况进行定性与定量分析评价，经分析判断其均处于欠稳定或不稳定状态，需进行工程治理。

The calculation equations for sliding direction,plane intersection points,area,volume,and safety of key blocks of slope are established by stereographic projection of vector and vector calculation.

利用全空间赤平投影和矢量计算对边坡关键块体滑动方向、结构面交点、面积、体积和安全性建立了计算方程。

On the basis of first-hand data, the two periods of stress field since Mesozoic are restored by means of the stereographic projection method,on the other hand,the present stress field is studied by means of the focal mechanisms solution.

根据实测数据，利用赤平投影方法确定研究区地质时期两期应力场，通过震源机制解得到现代应力场。

In order to study the stability of stratified rock slope in Zhu-Cheng road and its reinforcement method, the potential deformation and slipping mechanism of slope were analyzed using insitu-investigation and stereographic projection analysis method. The numerical calculation model for stratified rock slope was founded with UDEC software. The deformation of rock mass was analyzed in the excavation procedure, and the long-short compound bolt reinforcement structure was proposed according to the deformation failure mode of stratified rock slope.

摘 要：为了研究竹城公路层状岩质边坡的稳定性及防治措施，通过现场调查和赤平投影分析边坡潜在变形滑动机理；利用UDEC软件建立层状边坡数值计算模型，分析开挖过程中岩土体的变形情况；根据变形破坏模式提出层状岩质边坡的长短锚杆交替复合支护结构。

An initial spherical parameterization is firstly constructed by lifting planar parameterization to the sphere through the stereographic projection. Then we introduce an efficient approach based on bary centric coordinate to improve the initial spherical parameterization. At last, a uniform spherical parameterization is generated by a Moebius transformation.

通过立体投影将现有的平面参数化方法推广到球面上，得到一个初始的球面参数化；为了减小变形，引入质心坐标进行全局优化；最后用Moebius变换均匀化最终的球面网格。

Thus, a more stereographic view of cognition has come into being.

一个对认知更为全景的轮廓已经形成。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失