| 1. | These are called spherical harmonics .
这些叫做球谐函数。 |
| 2. | The angular part of a continuum wave function is, of course, a spherical harmonic .
连续谱波函数的角度部分当然是球谐函数。 |
| 3. | A 3d model similarity matching algorithm based on spherical harmonics descriptor
一种基于球面调和描述子的3维模型相似性比较算法 |
| 4. | The two components have identical vertical structure and physical process . the global spectral model component uses spherical harmonics as horizontal basis functions
这两部分采用相同的垂直结构和物理过程，都用球谐函数作为水平基本函数。 |
| 5. | Sampling data for brdf is analyzed with spherical harmonics , and then the brdf surface could be rendered fast under environment illumination
物体表面双向反射分布函数的采样数据利用球面调和函数系进行分析，然后可以在环境光源下作快速绘制。 |
| 6. | By using the method of spherical harmonic , the boundedness of a kind of singular integral operator in product domains is given in this paper
摘要用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。 |
| 7. | In view of the limitation of the traditional inversion theory and method of the gravity and magnetic field , professional an yulin , etc , worked in china university of geoscience , has come into being the theory system of the all - direction imagery for local gravity and magnetic sources after having researched a few years . the theory system broke through the thinking method of traditional theory system , researched all - direction imagery of the 2d local gravity and magnetic sources by means of complex function theory and researched all - direction imagery of the 3d local gravity and magnetic sources by means of spherical harmonic analysis theory , developed greatly the interpretation theory on the gravity and magnetic field
该理论体系突破了传统的重、磁场解释理论体系的思维方式，采用复变函数理论研究二维局部重磁场源全方位成像，采用球谐分析理论研究三维局部重磁场源全方位成像，大大发展了重磁学科解释理论，可以在起伏地形、有背景叠加和高频干扰等复杂条件下，直接反演加叠代修改，求解分布在有限范围内的二维和三维重磁场源异常场的多种反演问题。 |
| 8. | In this paper , we not only analysed the different effects of the disturbing gravitation on the trajectories of different ranges , but also discussed shortcomeings of the spherical harmonics model by which the external gravitation potential of the earth is shown usually . when the model is applied directly to the calculation of the trajectory , since the recurrent calculation can not be avoided , an increase in orders of model will result on a decrease in the speed of calculation
本文重点分析了扰动引力对不同射程导弹的落点偏差的影响，并且讨论了原有计算扰动引力的球谐函数法在计算速度上的缺陷(由于勒让德函数的递推计算，使得随着模型阶数的增加模型的计算速度下降) ，然后对其进行改进使其能更好的适用于弹道计算。 |
| 9. | Then , spherical harmonic transformation is used to generate some data for embedding watermarks . as a result , the watermarks can be embedded in the fourier - frequency domain of the original mesh . experimental results showed that our watermarking algorithm is robust since watermarks can be extracted without mesh alignment or re - meshing under a variety of attacks
提出了基于球面参数化的三维网格模型水印算法：利用网格全局球面参数化的方法得到网格的球面调和分析系数，将水印嵌入调和分析系数中，然后进行相应的逆变换得到嵌入水印的网格。 |
| 10. | The numerical results indicate that the deformation within the solid inner core is very small . however , in the fluid outer core , the changes of the displacement with relatively low spherical harmonic degree ( n < 10 ) is very complicated via the radius , due to the resonance near the eigenfrequenies of the core long - period oscillations . while the spherical harmonic degree of the loading is larger than 10 , the deformation and the gravitational perturbation in the core are very small , and the earth ' s deformation response is dominantly represented as the radial displacement in the elastic mantle
研究了地球在日月引潮力和表面负荷作用下的形变特征，数值计算结果表明，在固体内核中的形变很小，由于在长周期核模本征频率附近的共振，液核中低阶( n 10 )位移随半径的变化非常复杂，当负荷阶数超过10时，地核中的形变和扰动位都很小，地球的响应主要表现为弹性地幔中的径向位移，且随深度增加急剧减弱，地表负荷love数与信号频率的依赖关系很弱，给出了体潮love数计算的一种有效的近似处理方案。 |
