查询词典 spherical harmonic function

The stress was the study of the new methods of calculation the harmonic voltage and the harmonic current, and a new concept of filter ratio to evaluate the actual effect of single harmonic filter was raised considering the background harmonics. As well, the calculation mode of the single harmonic filter was also given based on the concept of filter ratio; it can offer effect data to evaluate the actual filter ratio of the single harmonic filter. At the same time, a method of designing the single harmonic filter was given, too, considering the background harmonics of the power system. In this paper, both the computer analysis and the proven had been done. And the result was shown to be that the voltage aberration and the harmonic current were decreased, and that the actual filter ratio of single harmonic filter was raised. The reason that we must consider the background harmonics when designing a single harmonic filter was also expatiated in this paper.

重点研究了考虑电网背景谐波下谐波电压、电流的计算方法，提出了用滤波率来评价单调谐滤波器安装容量利用率的概念，基于滤波率，分别给出了不考虑、考虑电网背景谐波时，单调谐滤波器的计算模型，为定量分析和评价单调谐滤波器的实际补偿效果提供了依据：并以此提出了考虑电网背景谐波的单调谐滤波器计算机辅助优化设计方法，并经计算机仿真分析、论证，减少了负载母线谐波电压畸变率和注入系统的谐波电流，有效地提高了单调谐滤波器的滤波效果，阐述了单调谐滤波器的设计过程中要考虑电网背景谐波的理论和实际意义。

Harmonic Drive Technical Dynamic League Group Co., Ltd. is consisted of Beijing Feida CTKM Harmonic Drive Technology Innovation Co., Ltd., Beijing CTKM Harmonic Drive Co., Ltd. and other units. The group company is home to many experts, professors and researchers, who have been in the field of harmonic drive for years, and have had a number of key results of harmonic drive technology, including series harmonic drive products with 8 different structures. The group has the strongest capability in harmonic drive technology innovation, and has made important contributions to the development of China's harmonic drive technology.

由北京飞达克美谐波传动技术创新有限公司和北京中技克美谐波传动有限责任公司等单位组成的动态联盟集团公司集中了我国多年来从事谐波传动技术研究的专家，教授及科技人员，曾主持完成我国多项谐波传动技术成果，开发出八个不同结构的谐波传动系列产品，具有最强的谐波传动技术创新能力，为我国的谐波传动技术的发展做出了重大贡献。

First,The properties of the spherical Bezier Curvesproposed by Ken Shoemake(Spherical Bezier curve of first kind)are listed,such asEndpoint property,Symmetry property,Invariant property under solid motion,Spherical convex hull property,etc.,and the fact that this kind of spherical BezierCurve is devoid of subdivision property is pointed out;Based on subdivision,theconcept of a new kind of spherical Bezier curve(Spherical Bezier curve of secondkind)is proposed.This kind of spherical Bezier curve is continuous differentiable.Furthermore,generalization of Bezier curve on more comprehensive manifolds isdiscussed.2Spherical Chaikin algorithm and general spherical corner-cuttingalgorithm.

首先，文中列举了Ken Shoemake提出的点点生成的球面Bezier曲线(第一类球面Bezier曲线)的性质，如端点性质、对称性质、运动不变性质、球面凸包性质等，并指出这种球面Bezier曲线没有剖分性质；基于细分，文中给出了一种新的球面Bezier曲线(第二类球面Bezier曲线)的构造方法，指出这种曲线是连续可微的；作为这些理论的应用，文中改进了Ken Shoemake提出的球面插值曲线构造方法；进一步，文中探讨了Bezier曲线在更广泛的流形上的推广方法。2球面Chaikin算法和一般的球面割角算法。

Starting from the Laplace equation, the solution of Laplace equation, in spherical coor dinates, is developed for the boundary value problem approximating the local gravity field over a spherical cap——spherical cap harmonic analysis, and the spherical cap harmonic expansion with integral order but nonintegral degree and practical formulae are given.

从Laplace方程出发，提出了在球冠上逼近局部重力场的大地测量边值问题——球冠谐分析理论，给出了非整阶整次球冠谐展开和实用计算公式。

Harmonic function generalizes the harmonic function, the following respects are discussed: the least energy, Liouville theorem with respect to harmonic function and the relation of harmonic function and subharmonic function.

如对次调和函数的平均值不等式的推导[3- 4 ] ，调和函数的存在性的证明等[5] 。2 0 0 0年，PeterLi提出了另外一种函数，即调和函数，这一类函数比调和函数的应用广泛得多，同时又具有和调和函数类似的性质。

Second, based on the spherical vector wave function in uniaxial anisotropic medium, and the first, second, third and fourth spherical Bessel functions satisfy the same differential equation and recursive formula. The scattering fields in terms of spherical vector wave function from a uniaxial anisotropic spherical shell and an anisotropic uniaxial-coated conducting sphere by a plane wave are derived. The electromagnetic fields in uniaxial anisotropic medium and free space can be expressed in terms of spherical vector wave functions in uniaxial anisotropic media and isotropic medium.

二、在建立均匀各向异性单轴介质球矢量波函数理论的基础上，利用二阶线性偏微分方程的性质和第一、第二、第三和第四类球Bessel函数满足相同的微分方程和递推关系，我们分别研究了单轴介质球壳和单轴介质涂覆导体球对平面波的电磁散射特性，首先给出了各个区域的电磁场用球矢量波函数来表示的解析表达式，进而利用电磁场在边界上满足电磁场切向连续的边界条件和球谐函数的正交性，得出了各向异性单轴介质球结构中电磁场用球矢量波函数表示的系数所满足的矩阵方程。

However, harmonic analysis lays the foundation for power harmonic treatment. The paper discusses the development of a power harmonic analyzer hosed on DSP and LabVIEW, which is used to analyze and measure harmonic on real-time. The analyzer's hardware, harmonic analysis algorithm, LabVIEW software design and the implementation are alt brought forward in detail.

为了有效地检测电力谐波，并对其进行治理，本文将DSP与LabVIEW虚拟仪器技术相结合，提出了一个谐波实时测量分析仪的设计方案，同时给出了系统的硬件构成和谐波分析算法，以及LabVIEW子程序的详细设计及实现。

Derives the formulae for calculating the distortion and stress on the acting surface of flexspline load in the drive process of the harmonic gear drive with three-wave wavegenerator;(2) analyzes and compares the performance of plastic and steel products under light load drive and calculates the probably reached limit of drive ratio for both types of flexsplines under the same load;(3) applies the harmonic gear drive with three-wave wavegenerator to the small-sized multiple-revolution electric device of valves by taking into consideration of the low limit of the drive ratio for the harmonic gear drive with three-wave wavegenerator made of plastics, improves the design on the main drive mechanism of the traditional small-sized multiple-revolution electric device of valves, and validates through examples the feasibility for the harmonic gear drive with three-wave wavegenerator made of plastics to be applied to the small-sized multiple-revolution electric device of valves. Finally the author performs calculations on the two types of the flexsplines of the harmonic gear with three-wave wavegenerator by using the finite element method and analyzes the causes for the errors.

本文根据三波谐波齿轮传动的运动变形特点，采用弹性薄壳的力矩理论，推导了三波谐波齿轮传动柔轮载荷作用面上的变形及应力计算公式；分析比较了轻载传动情况下塑料和钢材的性能，计算了塑料制谐波柔轮和钢制谐波柔轮在相同载荷情况下可能达到的传动比极限；对塑料制及钢制三波谐波齿轮柔轮进行了有限元计算，分析了产生误差的原因；针对三波塑料谐波齿轮传动比极限低的特点，将之运用于小转矩多回转阀门电动装置中，对传统的小型多回转阀门电动装置的主传动机构进行了改良设计，并通过实例验证了三波塑料谐波齿轮传动在小转矩多回转阀门电动装置中应用的可行性。

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

The mathematical methods to calculate the theoretical models of satellite magnetic anomalies, spherical harmonic analysis, spherical cap harmonic analysis, rectangular harmonic analysis and equivalent source method, were introduced in this paper.

本文介绍了计算卫星磁异常理论模型的数学方法，即球谐分析方法、冠谐分析方法、矩谐分析方法和等效源方法。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。