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The spherical cap harmonic modelsof the geomagnetic reference field in the region are calculated also.

球冠极的空间位置坐标为39.5°N和117.0°E，球冠半角为4°。

According to the three component absolute survey data of 118 geomagnetic stations observed during 1998~2000 and 39 geomagnetic observatories and IGRF 2000, the spherical cap harmonic models of the geomagnetic field for 2000 (the truncation order is 8), and the geomagnetic secular variation for 2000~2005 (the truncation oder is 6) are calculated.

根据1998～2000年完成的118个地磁测点和39个地磁台的三分量绝对测量资料以及IGRF2000，计算2000年中国地磁场冠谐模型（截断阶数为8），以及2000～2005年中国地磁长期变化冠谐模型（截断阶数为6）。

Based on the spherical cap harmonic models of the geomagnetic field and its secular variation, the geomagnetic charts, the anomaly charts for 2000 and the secular variation charts for 2000~2005 are drawn.

依据地磁场及其长期变化的冠谐模型，分别绘制2000年中国地磁图和异常磁场图，以及2000～2005年地磁长期变化图。

Taking IGRF2000 as the main normal field in the region, the spherical cap harmonic modelsof the anomaly geomagnetic field in the region are established.

将国际参考地磁场（IGRF2000）作为地磁正常场，建立了京津冀地区地磁异常场的球冠谐模型。

It can be shown that the base function for the optimal analysis of PSV data is HSV eigen-function deduced from the proper or thogonal decomposition of the geomagnetic model data instead of the lower degree spherical harmonic function in common use.

统计学意义上最优的分析方法不是直接对PSV数据作低阶轴对称球谐分析，而是通过对地磁场模型数据的特征正交分析，得到表征HSV的特征函数，再用它们去分析PSV形式的数据。

In section 2.7, according to the complex expression of the horizontal gradient of spherical harmonic, the spherical orthogonal function family needed for the description of the earth's gravity potential up to 2 degree horizontal gradients is defined and proved directly.

在§2.7中，直接由体球谐函数水平梯度的复表示定义并证明了描述地球引力位直到二阶水平梯度所需的球面正交函数系。

This paper has investigated the expression on rotational motion of earth's surface and Earth's deformation fields with complex vector surface spherical harmonic function, theoretical definition of the crust-fixed reference frames and the terrestrial reference system, and theoretical substantiating to the consistency between them.

徐州师范大学国土信息与测绘工程系，徐州 221116；2。中国科学院测量与地球物理研究所，武汉 430077摘要：本文研究了内核地球模型下的地球表面的旋转运动和地球形变场的复数矢量球函数表示，以及外壳固定参考架、地球参考系的理论定义和它们之间等价性的理论证明。

In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and streamline diffusion finite element method for unsteady Boltzmann equation in the neutron logging field is discussed, and the convegrence and error estimations of this scheme are proved.

针对中子测井问题，研究非定常Boltamann中子输运方程的确定型数值求解方法，给出了求解Boltzmann方程的球谐函数展开和流线扩散有限元耦合方法，证明了这种耦合方法的收敛性和误差估计·实际算例表明此方法是有效

Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten.

本文从电流连续方程出发，采用球谐函数展开法，边界条件采用下边界为地表大气电势，上边界为电离层底部电势，非齐次电流源函数项采用垂直偶极子假设。

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。

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