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Through the Lagrange's equation,the nonlinear vibration equation of a particle non-harmonic oscillator is established;the curves of the restoring force and potential energy varying with coordinates and phase plot are drawn.

利用拉格朗日方程建立了单质点弹簧振子非线性振动方程，作出了回复力、势能随坐标的变化曲线以及相图。应用第一类完全椭圆积分求出了非线性振动周期的精确解。

Rate of harmonic current, output impendence of voltage source converter and control loop phase lag.

LCL滤波器由于可以兼顾低频段增益和高频段的衰减，是APF输出滤波器的较好选择，但LCL滤波器是3阶系统，增加了控制难度。

On the basis of HPLC analytical results, a reaction mechanism between chlorine dioxide and phenol had been proposed. The rate control step in the process of reaction was studied by using ab initio method. Opmital geometry of every species in reaction was caculated by the available gratient optimum software. The result of harmonic vibrational frequencies indicated that phenolate radical was a stable intermediale product.

根据对ClO〓氧化苯酚后的高压液相色谱图，提出了ClO〓与苯酚氧化反应的机理，并对反应机理中的速度控制步骤进行量子化学理论剖析，利用梯度优化软件计算了参加反应物种的平衡几何构型，振动频率分析的结果表明：酚氧自由基是稳定的反应中间体，利用ab initio计算软件计算了参加反应物种的总能量，酚盐负离子中的氧原子电荷密度，布居数和前线轨道。

These systems include neutral particles with general spin and magnetic moment moving in an arbitrarily varying uniform magnetic field or in the field of a circularly polarized electromagnetic plane wave, the generalized time-dependent harmonic oscillator, and Heisenberg model in a rotating magnetic field.

包括具有一般自旋和磁矩的中性粒子在任意时变均匀磁场中的运动、在圆偏振平面电磁波场中的运动，一般含时谐振子体系，旋转磁场中的 Heisenberg 模型等。

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。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。