查询词典 harmonic analysis

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

This paper describes the formation of the harmonic current in trolley wire and the developing process of the harmonic resonance, also the analysis of the transmission equation of the harmonic current.

本文叙述了接触网牵引电流谐波的产生及谐振过程，分析了谐波电流的传输方程。

In this paper, we proposed continuous interval argument OWH operator for aggregating continuous interval argument on the basis of ordered weighted harmonic averaging operator. Based on C-OWH operator, we proposed some new concepts, such as weighted harmonic C-OWH operator, ordered weighted harmonic averaging C-OWH operator, combined C-OWH operator, and we discussed some properties of these operators.

本文首先把OWH算子推广到了连续区间上，提出了连续的区间数据OWH算子，然后在此基础上提出了加权调和的C-OWH算子，有序加权C-OWH算子以及组合的C-OWH算子等新的概念，探讨了它们的一些性质。

In recent years, high voltage direct current system is rapidly developed, but harmonic pollution is produced and becomes badly, harmonic measurement by true is the precondition and sticking point of restraining harmonic.

近些年来，高压直流输电得到了快速的发展，电网的谐波污染也日趋严重，实时、准确地测量谐波电流信号是有效抑制谐波电流的前提与关键。

A new harmonic harmonic and reactive current detection method and a harmonic current detection method base on bandpass filter are introduced in this thesis.

提出两种新的检测方法，检测谐波及无功电流的改进算法和只检测谐波的基于数字带通滤波的检测算法。

A logicaldomain is used as a reference and the mesh movingis implemented according to an appropriate domain transformation.With sometraditional moving mesh methods,the meshes in physical domain may be tangled.To avoid this,the transformations are constructed based on harmonic mapping.Agood feature of the adaptive methods based on harmonic mapping is that existence,uniqueness and non-singularity for the continuous map can be guaranteed fromthe theory of harmonic maps.

在移动网格方法中，需要引进一个逻辑区域作为参考，网格的移动往往通过一个区域变换来实现，网格可能发生缠绕的问题是移动网格方法中一个一直没有解决的问题，我们利用调和映射来构造区域间的变换，使得变换的存在唯一生有了理论的保证，这就为避免网格缠绕打下了基础。

Harmonic measurement is an important embranchment of harmonic problem. It is not only the main basis of studying the harmonic problem, but also the starting point of analyzing the problem.

谐波测量是谐波问题的一个重要分支，它是谐波问题研究的主要依据，也是研究分析问题的出发点。

Fluxgate sensors have the second harmonic voltage amplitude with the magnetic field strength is proportional to the adoption of second harmonic filter through phase-sensitive detector rectifier, to achieve full-wave rectifier, low-pass filter in through the phase-sensitive detector after the second harmonic into a smooth DC signal, on the one hand to the back of the circuit, on the one hand, the magnetic flux through the door to feedback regulation, the opposite magnetic field generated with the measured magnetic field, so that the work has always been zero fluxgate magnetic field, thus ensuring the most high-precision fluxgate.

磁通门传感器产生的二次谐波电压幅值与磁场强度成正比，二次谐波通过通过滤波器再通过相敏检波器整流，实现全波整流，在通过低通滤波器将相敏检波后的二次谐波转化成平滑的直流信号，一方面送到后面的电路进行，一方面通过反馈调节送到磁通门中，产生与被测磁场相反的磁场，使磁通门始终工作零磁场下，从而保证磁通门的最高精度。关键词：磁通门磁力仪，相敏检波器，磁场

The capacitance capacitors and inductors of power grid form parallel resonance circuit .It's frequency may be related to the existing power grid close to the harmonic frequencies, If there is power grid harmonic current sources, harmonic resonance caused by enlarged so that the voltage and current waveform distortion even more serious.

电容器的电容和电网的电感形成并联谐振回路，其频率可能与电网中存在的谐波频率接近，如果电网存在谐波电流源，谐振引起的谐波放大使电压和电流波形畸变更为严重。

For mastering on-load property of the third harmonic excitation system . Thus , a new method to analyze harmonic winding no-load property curve of harmonic excitation synchronous generator , named as three-segment method , is presented in this article.

为了把握三次谐波励磁系统的空载性能，本文提出了应用三段法来分析三次谐波励磁同步发电机谐波绕组空载特性。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。