The k-distribution water cloud optical properties parameterization method, four-stream spherical harmonic function algorithm and solar radiation in longwave region are applied in National Climate Center atmospheric general circulation model called BCC_AGCM2.0.1.

This paper involves the use of the spherical harmonic function in molecular surface simulation to resolve the problem of docking between macromolecules ( proteins) and make a stable foundation for the computer aided drug design.

本文将球谐函数应用在分子表面模拟上，以解决生物大分子（蛋白质）与生物大分子（蛋白质）之间的对接（dock），为药物分子设计的研究奠定理论基础。

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Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts: zeroth order Hankel function and an absolutely convergent series of spherical Hankel function.

赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

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The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated Legendre polynomial.

利用坐标旋转后球坐标变量间的关系和连带勒让德多项式的性质推导得到了n次1阶球谐函数的加法公式；

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The basic theoretical calculation formulae for radiation and scattering of array antennas are deduced by applying spherical wave function expansion and the scattering matrix to the analysis of array antennas.

将场的矢量球面波函数展开和散射矩阵推广到阵列天线的辐射和散射分析当中，推导出阵列天线辐射和散射的基础理论公式。

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The prevalent formula for nonzero perturbation matrix in the secular equation is gained by the perturbation theory in degenerate state and property of spherical harmonics function.

本文应用简并态微扰理论和球谐函数的性质，得到久期方程中非零微扰矩阵元普遍表达式。

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Fourier transform plays an important role in spherical harmonic function, at the same time it also restricts the development of spherical harmonic function in the frequency domain.

在频率域中傅立叶变换对球谐函数起着重要作用，同时傅立叶变换也制约着球谐函数在频率域的进一步发展。

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By means of the direct decomposition of spherical harmonic function, the spectrum and the dimension of all the eigen-spaces are obtained.

利用球调和函数的直和分解，得到了亚椭圆算子的谱和每个特征值所对应的特征空间及其维数。

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On the Convergence of Fitting Seismic body-wave's Q-value 3-dimensional Distribution by Using of Spherical Harmonic Function

用球谐函数拟合地幔Q值三维分布的收敛性问题

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A Lowering-order Expression of Spherical Harmonic Function

球面谐和函数Y（lm）（θ，φ）的降阶表达式

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A new lowering-order expression of spherical harmonic function is also derived from these two new recurrence formulas.

并在这两个新公式基础上导得球面谐和函数Y l（θ，φ）的降阶表达式。

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The Numerical Inversion of Radon Transform for Spherical Symmetric Function

球对称函数Radon变换的数值反演

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New Addition Formulae of Spherical Harmonic Function

球面谐和函数的新加法公式

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Regional surface-wave group velocity inversion by spherical harmonic function method

区域面波群速度反演的球谐函数法

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Application of Complex Vector Spherical Harmonic Function in Deformational Field

复数矢量球谐函数在形变场中的应用

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Research on method for entire calculation of GPS strain field by using spherical harmonic function

用球谐函数整体解算GPS应变场方法研究柱谐[圆柱，调和]函数

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Spectral Analysis of Model Climate with Spherical Harmonics Function

模式气候的球谐谱分析

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For the rough relief terrian, it is difficult to delineate them by only one function. Large outer correction errors would be brought in if only the plane function or spherical function was used.

对于起伏不平的地形，确难用一个函数描述它们，若仅用平面或球面函数等来表达，势必产生较大的、且又难以满足精度的重力外部校正误差。

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On this basis, the paper mainly analyzed seasonal and height variation of the spectral structure of the spherical function and the difference of this variation between the southern and northern hemisphere.

并在此基础上重点分析了球函数谱结构随季节、高度的变化，以及这种变化的南北半球差异。

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By spherical function expansion of the scattered sound field in conjunction with rigid boundary conditions, formulas for reconstructing the shapes of rigid scattering objects are derived.

本文用球函数展开散射场，结合刚性边界条件导出了刚性目标的重构公式，并利用该公式重构了刚性球和椭球的形状。

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The transition from negative to positive of the spherical function coefficient A20 reflects it impersonally and quantificationally.

等压面半球高度场球函数系数A2~0由负转正和由正转负能客观定量地反映这一转变。

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