查询词典 spherical harmonic function

Then, we employed the spherical-harmonic method to turn the classical transport equation for gluons into an infinite set of spherical-harmonic equations.

通过比较胶子和夸克的经典输运方程以及比较胶子的量子和经典输运方程，我们检验了新建立的胶子经典输运方程，证明它的确反映了胶子输运的主要性质。

In sphere approximate, GPS/Gravity-BVP is Neumann problem over exterior spherical domains. Then the natural boundary reduction, suggested by Feng and Yu, is applied to deal with the three dimensional problems. By expansion in spherical harmonics, the natural integral equations of harmonic problems over exterior spherical domains are obtained. Meanwhile, a numerical method for solving geodetic BVP is developed.

在球近似下将GPS-边值问题转化为Neumann外问题，用自然边界元法进行自然边界归化，得到自然边界积分方程，再求自然边界积分方程的数值解，与其他边界元方法相比，自然边界元法的计算量大大减小，并且具有很好的逼近性质，能有效地处理奇异积分，是求解GPS-边值问题有效方法。

Spherical harmonics is of importance for spherical signal analysis. This paper matches shape similarity among images by a spherical harmonic descriptor.

摘要球面调和分析是球面信号分析的重要工具，本文采用球面调和描述子对图像进行形状匹配。

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。

After 30 days, the cultures were preserved in darkness, and 4 types of resting cysts were found after another 90 days:(1) spherical to ovoid cysts (25-39 μm long) covered by asparse or numerous calcareous attachments (1-4 μm long) and a calcareous surface;(2) spherical cysts (29-35 μm diameter) with a noncalcareous surface attachment, calcareous surface;(3)spherical to ovoid cysts (29-35 μm long) w ithout any surface attachment and a calcareous surface; and (4) spherical c ysts (24- 35 μm diameter) without any surface attachment and an organic surf ace.

培养30天后，培养液中有大量休眠孢囊，将藻液避光保存90天后，观察到培养基中有4种类型的休眠孢囊产生：(1)球形到椭球形(长25-39 μm)，钙质外壁，稀疏或密被钙质附属物(长1-4 μm)；(2)球形(直径为29-35 μm)，钙质外壁，附属物非钙质(长0.5-1.5 μm)；(3)球形到椭球形(长29-35 μm)，钙质，表面光滑，无附属物；(4)球形(直径24-35 μm )，有机外壁，无附属物。

The method includes the following steps: firstly, a spherical neighborhood of present sample points is established by using the geometric spherical-modelling theory and all the sample points contained in the spherical neighborhood are adopted as candidate neighbor points, thus not only preserving the effectivity of the dimension reduction capability when data sets are sparse but also getting the advantages of low-sensitivity to isolated points and good stability of the preserved topological structure; then a data relevance matrix more matching semantics can be obtained by relevance measurement based on route clusters to update the candidate neighbor points in the spherical neighborhood and optimize the regular neighborhood space of the present sample points, thus improving the phenomenon that the dimension reduction of sample sets provided with folded curved faces is apt to suffer the integrated-structure distortion in case of heterogeneous data distribution.

首先利用几何开球原理建立当前样本点的球状邻域，将包含在球状邻域内的所有样本点作为候选近邻点，不但能够保持在数据集稀疏情况下的降维性能的有效性，而且具有对孤立点敏感性不高、保留拓扑结构稳定性好的优点。然后利用基于路径聚类的相关性度量得到更符合语义的数据相关性矩阵，用来对球状邻域内的候选近邻点进行更新，优化当前样本点的规则邻域空间，改善了当数据不均匀分布时在带有折叠弯曲面的样本集上降维容易出现整体结构扭曲的现象。

Firstly, the parallel mechanism parameters are designed by theory, and the two spherical hinges of cue instrument on the mobile and base platform are fixed up separately. Under the condition that the mobile platform parallels the base platform, the center of spherical hinge of the cue instrument on the mobile platform are moving along a spherical helix corresponding to the center of spherical hinge on the base platform.

首先按理论并联机构设计参数，将一球杆仪的两个球铰分别固定在保持平行的动、静平台上，令球杆仪在动平台上的球铰中心相对于静平台上的球铰中心做球面螺旋线运动。

The structure shown in the figure : The governing body received direct or roller drying cylinder, as the main components of the rotation; After finishing the outside of the sphere, Bottom Cover and soak spherical carbon graphite seal ring joint seal reliable seal friction deputy, Sealing ring in the spherical shell of its annular space sliding, in addition to oil-free bearings and with the close cooperation of Shell, Rotating connector so that the free support, and therefore do not require a high level of accuracy installed; Spherical seal ring wear, Spring means of pressure at any time in advance to receive compensation, compensation for the shell slowly moved backward, accessible through the tube outside the inscription on the line to observe the seals wear; When steam, Oil flows through the media or other spherical sealing ring and oil-free bearings, the formation of thin liquid film, sealing and lubrication, thereby reducing friction and wear, extending the service life.

其结构如图所示：外管体直接接到辊子或烘筒上，为主要的旋转部件；经过精加工的外管本球面、底盖和浸泡碳石墨球面密封环共同组成密封可靠的动密封磨擦副，球面密封环在其壳体内的环形空间中滑动，加之无油轴承与壳体的密切配合，使旋转接头自由支撑，故对装机精度要求不高；球面密封环磨损后，借助于弹簧的预压力随时得到补偿，补偿时壳体缓缓向后移动，并可通过外管体上的刻线观察到密封件的磨损程度；当蒸汽、油或其它介质流经球面密封环和无油轴承时，形成一层很薄的液膜，提供密封和润滑，从而减轻了摩擦和磨损，延长了使用寿命。

By thermodynamically and dynamically calculating and analysing ,a new growth mechanism of spherical graphite has been proposed ,that is,the spherical graphite does not grow inwardly,but grow outwardly and when spherical graphite grow outwardly carbon atoms come into and fill-up the entocoele of spherical graphite by the diffusing way.

通过对石墨球最终表面的形态进行分析，可以获得气泡的表面并不是石墨球的最终表面，石墨球表面主要由于受到石墨球表面各微晶长大速度不均匀性、铁水中的三大起伏、微量元素与碳原子的竟相吸附、由于浓度梯度和温度梯度所引起铁水的对流等各种因素的综合影响结果使其表面成为凹凸起伏的形状

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。