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A typical Mathieu equation subject to harmonic excitation is acquired by means of the theory of linear vibration. By using integral transformation, the series solutions to the Mathieu equation are obtained.

根据线性振动理论对系统运动微分方程组进行分析，得到了一个受简谐激励的Mathieu方程，通过积分变换，得到了Mathieu方程的级数形式解。

Based on the Timoshenko-Mindlin hypothesis and the Hamilton Principle, a set of governing equations of motion for the laminated non-circular cylindrical thick shells were founded.Using the Galerkin procedure,the Mathieu equation only with time variable was obtained,and this equation was solved by the method of increase harmonic balance.

基于Timoshenko-Midlin假设及Hamilton变分原理，建立了层合中厚非圆柱壳的非线性运动控制方程，采用伽辽金技术，得到仅含时间参数的Mathieu型方程，然后应用增量谐波平衡法进行求解。

By employing the harmonic expansion and matrix inversion, we calculate the polarization of the medium and analyze the interference effect of the coherent field is investigated.

本文采用密度矩阵元的谐振展开方法，理论上研究了处于环型腔内的二能级原子系统的光学双稳和多稳现象的相干控制。

Matrix element of coordinate operator ~l of harmonic oscillator is discussed by using coherent state and normal product.

利用相干态和正规乘积对谐振子任意次幂坐标算符^Xl矩阵元进行了讨论，导出了计算^Xl矩阵元的一般公式，为处理谐振子的微扰问题提供了一种新的方法。

Supposition of two vibrations with same frequency and direction, condition generated mechanical wave, dynamic equation of plane harmonic wave.

同方相同频率的两个简谐振动的合成；机械波产生的条件；平面简谐行波的运动学方程。

Week 4 Supposition of two vibrations with same frequency and direction, condition generated mechanical wave, dynamic equation of plane harmonic wave.

第4周 同方相同频率的两个简谐振动的合成；机械波产生的条件；平面简谐行波的运动学方程。

According to guitarist Manolo Sanlúcar , in this flamenco Phrygian mode, E is the tonic , F would take the harmonic function of dominant , while Am and G assume the functions of subdominant and mediant respectively.

根据吉他家 Manolo Sanlúcar 的说法，在这一弗拉门戈弗利基亚调式中， E 是主音， F 发挥了属音的和声作用，而 Am 和 G 则分别起到了下属音和中音的作用。

Firstly, pattern. We chose eastern mess kit and western mess kit as a combination., the orderly layout of which over the porcelain plate decorated with olive branch stands for the friendly communication of eastern and western culture—profound amalgamation and mutual advancement; on the other hand, it also represents the harmonic development of eastern and western politics and economics.

首先，就图案来讲，我们选定了东方的餐具和西方的餐具进行组合，把它有秩序的放在以橄榄枝为装饰的瓷盘上面，可以说它代表着东西方文化的友好交流，深刻融合与相互促进；也可以说它代表着东西方政治经济的和谐发展。

Especially, the theory of univalent harmonic mappings plays an important role in the theory of minimal surface.

本文的第三章及第四章对单叶调和映照进行了深入的研究，得到了一系列的结果。

A complete novel assumption is presented. Then, we prove the existence of two nontrivial solutions for a class of second order superlinear difference systems with the help of Minimax principle and Linking theorem in critical point theory,.6. Two applications in physics are given. Firstly, a coupled differential system coming from second harmonic waves is discussed.

利用Ricceri建立的三临界点定理，证明了一类含参数二阶差分方程在某些新的条件下至少存在三个解；随后，利用临界点理论中的极小极大原理和环绕定理，讨论了一类二阶超线性差分方程组多重解的存在性。

"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。