查询词典 harmonic

We gen-eralize the holomorphic pointwise multiplier to pluriharmonic and〓-harmonic pointwise multiplier on the Bergman space.Somecharacterizations of such pointwise multipliers are gotten.

解析点乘子推广到多调和或〓调和的情形我们是在Bergman空间上做的，得出了关于Bergman空间上点乘子的一些性质。

Keywords: harmonic map;pluriharmonic maps; submanifold

中文关键词：调和映照；多重调和映照；子流形

In this paper, we give explicit constructions and formulations for harmonic maps from R1,1 into classical real semisimple Lie groups by using Darboux transformation. We also discuss pluriharmonic maps from complex manifoldsinto symmetric spaces and Willmore surfaces in Sn. By converting geometric conditions satisfied by these maps into integrable systems, and using the the-ory of integrable systems, we give explicit constructions for pluriharmonic maps from complex manifolds into symmetric spaces and the Willmore surfaces in Sn respectively. Finally, we classify hypersurfaces in Sn+1 with three distinct prin-ciple curvatures and zero Mobius form using the theory of Mobius geometry. The paper consists of four chapters.

本文首先利用Darboux变换的方法给出了从Lorentz平面R~(1，1)到经典实半单Lie群的调和映照的具体构造，并给出其显式表示；其次研究了复流形到对称空间的多重调和映照及球空间S~n中Willmore曲面，将这些映照所满足的几何条件转化为可积系统，然后利用可积系统理论分别给出复流形到对称空间的多重调和映照与S~n中Willmore曲面的构造；最后利用Mōbius几何的理论给出S~(n+1)中具有三个不同主曲率且Mōbius形式为零的超曲面的分类。

Using the relations between harmonic conjugation elements,we can determine the relations between polar point and polar line more widely.

度量几何中圆的切割线之间所确定的数量关系，推广到射影几何里一般二次曲线中，利用调和共轭元素之间的关系，更广泛地确定了极与极线的相互关系，着重介绍了二次曲线的度量性质与射影性质的内在联系。

The principles of the second harmonic generation in the nonlinear crystal polarized by the fundamental wave and the sum frequency generation have been studied.

利用非线性光学耦合波方程，讨论了非线性晶体受基波辐射极化产生二次谐波以及和频产生的机理。

The mean effective population size could be estimated as a harmonic means of the Ne .

估计出平均有效种群大小，作为所有世代ne的调和平均值。

With regard to the software design, we realized the software filter for anti-intermixing; and we use the Fast Fourier Transform Algorithm to analyze the harmonic of the voltage and current; also we analyze the method of calculating all the parameters of the power system, fault component and positive, negative, zero sequence.

软件算法方面，系统对信号采用了抗混叠软件滤波，并采用传统的快速傅立叶变换，对采样的电压和电流信号进行频谱分析。论文中还详细分析了电网各参数，故障分量以及正、负、零序分量的计算。

The fundamental positive component, which is employed to determine the phase angle of the source current reference, is obtained by performing harmonic analysis on the source voltage, while the magnitude of the source current reference is determined from the viewpoint of energy-balance.

该方法通过对电源电压进行谐波分析，得出电压的基波正序分量，由此来确定电源电流参考的相位信息；同时从能量平衡的角度确定电源电流参考信号的幅值信息。

We apply these set of rules to study three kind of typical quantum problems including harmonic oscillator, double well potential and impulse barrier penetration.

利用这套规则，我们研究了谐振子，双势阱和脉冲型势垒的透射这三种量子力学中典型问题的格林函数。

A simultaneously harmonic voltage measurements from a magnetic potential transformer and a capacitor divider on a medium voltage bus show a good frequency response of PT.

对一组PT信号和同一母线的电容分压器分压信号进行谐波比对测量分析表明，中压系统的电磁式电压互感器有较好的频率响应特性。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。