Harmonic series

Harmonic series is a concrete , important series , it plays an important role in the theory of series .

调和级数是一个具体的、重要的数项级数，在级数理论中具有重要的地位。

Experimentation on Harmonic Series and Euler ' Constant

关于调和级数与Euler常数的数学实验

The Monotonicity of Partial Sum Sequence on Harmonic Series

调和级数部分和序列的单调性质

Proving to the Existence Theorem of Primitive Functions and Divergence of Harmonic Series with Area Principle

用面积证明原函数存在定理和调和级数的发散性

There are many gravity quantities expressed by finite spherical harmonic series expansions in the computing for geopotential .

重力场计算中，经常需要计算以有限阶球谐级数表示的重力场元。

Base on theory of lithosphere elastic flexure isostatic compensation , the spheric harmonic series expressions of topography-isostasy compensation gravity and geoid are established .

依据岩石圈弹性挠曲均衡补偿理论建立地形-均衡补偿重力、大地水准面异常的球谐级数表达式。

Under the boundary values such as disturbing potential , gravity anomaly , gravity disturbance and two or three of them together , the spherical harmonic series representations and cloed solutions on harmonic density anomaly are given .

建立起在边界条件分别为扰动位、扰动重力、重力异常以及其中两类以上同时作为边界输入的情况下，对应的调和性扰动场源的球谐函数表达式及封闭解式。

Expending geography , earth interior mass , gravity and geoid into sphere harmonic series , we establish topography-isostasy compensation gravity and geoid sphere harmonic series expression according to isostatic compensation theory of lithospheric flexibility .

将地形高、地球内部质量异常以及重力、大地水准面展开成球谐级数，依据岩石圈弹性挠曲均衡补偿理论建立地形&均衡补偿重力、大地水准面异常的球谐级数表达式。

However , the second associated Legendre function is too complicated to compute , so a simple and practical ellipsoidal harmonic series expansion is introduced , and the series solution and integral solution of the Dirichlet boundary value problem and the Neumann boundary value problem under ellipsoidal boundary are given .

鉴于展开式中第二类缔合勒让德函数的计算较为复杂，接着引入一种形式简单、实用的椭球谐级数展开，介绍了椭球界面下Dirichlet边值问题和Neumann边值问题的级数解和积分解。

IGRF ( International Geomagnetic Reference Field ) are the models of geomagnetic main field and secular variation . The IGRF errors are from neglecting external field , truncation level of the spherical harmonic series , observatory distribution , measurement , and neglecting the crust geomagnetic anomalies .

IGRF（国际地磁参考场）是有关地球主磁场与长期变化的模型，IGRF的误差主要来源于：忽略外源场、球谐级数的截断、台站分布的不均匀、测量、忽略地壳磁异常场等。

Voltage type harmonic source and series active power filter

电压型谐波源与串联型有源电力滤波器

A New MOV Linearized Model Based on Harmonic Analysis for Series Compensation

串补系统稳态计算中基于谐波分析的MOV线性模型

From the idea of compensation and filtering , the parallel compensating harmonic APF and series compensating fundamental wave APF are suitable for suppressing harmonic current .

同时，从补偿和滤波两种思想出发，指出并联型谐波补偿有源电力滤波器（APF）的补偿作用和串联型基波补偿APF的滤波作用可适用于非线性负载谐波电流的抑制。

Discussion on an Example of Harmonic Analysis with Fourier Series

对一道傅立叶级数谐波分析例题的讨论

Harmonic ANalysis of Time Series ;

时间序列谐波分析法；

The work of this paper is make for depress the harmonic current of Single-phase series motor .

本文的工作有助于降低单相串励电动机的谐波电流。

Harmonic analysis on multi-day series current data at two anchored stations in the southern Taiwan Shoal

台湾浅滩南部二测站多周日海流观测资料的调和分析

This paper studies the properties of the harmonic serles by using series properties , and gives a proof by contradiction for its divergence .

利用级数的性质对调和级数活跃的性态作了讨论和研究，并利用它的活跃的性质，用一种新的反证法证明其发散性。

The arc furnace electric system will make appearance of more harmonic current at the series resonant point and the parallel resonant and influence of series resonant is larger for the system .

当电弧炉电气系统在串联谐振点和并联谐振点附近时，均会出较大谐波电流，而串联谐振对系统的影响更大一些。