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According to the analytical expression, the phase grating of periodic and non-periodic system is calculated and the result keeps good agreement with that by fast Fourier transform, and the computation time is reduced up to 7 times comparing with fast Fourier transformation which is important to realize monitoring in situ in modern high-resolution technique.

3由以上解析式计算得到的晶体和非晶体的相光栅结果与快速傅立叶变换的结果一致，且能有效地缩短计算时间，这对于实现现代高分辨象的实时监测是很有意义的。

At first, based on the results of the field tests and studies, this paper indicates that there are two kinds of low frequency power oscillations on the weak tie line: one is caused by negative damping, and belongs to the free oscillation; the other is caused by periodic load disturbances and periodic adjustments, and belongs to the forced oscillation.

首先，本文根据现场试验和研究结果指出，互联系统的弱联络线上存在两类性质不同的低频功率振荡：一类是由负阻尼引起的，属于自由振荡；另一类是由于系统周期性负荷扰动或振荡调节等引起的，属于强迫振荡。

The results show that the periodic average yield of acrylonitrile under any forced periodic oscillation of oxygen concentration among this experimental conditions,thus obtained could higher than that under the steady-state condition.

而为完成整个氧化还原循环过程，气相氧分子就必须在不同丙烯吸附中心的再氧化中心上吸附，获得电子，解离后扩散进入催化剂中的阴离子孔穴，如图1所示。从该机理可知，反应气氛中的氧烯比大小对催化剂表面的氧化还原反应过程的循环有重大影响。

First of all, the method of Fredholm alternative is used to obtain the approximate solution of the first order for the bifurcating periodic solutions of a nonlinear system with delayed velocity feedback. The bifurcation direction and the stability of the bifurcating periodic solution are also determined.

首先，用Fredholm择一方法分析了一具有时滞速度反馈的非线性振动系统的Hopf分叉，得到了局部分叉周期解的近似表达式，确定了分叉解的分叉方向及稳定性。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively. Compared with some known results in the literature, the equations discussed by us are more general, and our results are concise and easy to be verified.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

One, the physical quantity that the fundamental point that the physical quantity that describes mechanical vibration and mechanical wave is proposition of the university entrance exam describes physical quantity of simple harmonic motion to the; such as amplitude, periodic, frequency, speed, acceleration, phasic, phasic difference describes mechanical wave has amplitude, wavelengh, velocity of wave, periodic, frequency to wait.

一、描述机械振动和机械波的物理量是高考命题的基础点描述简谐运动物理量有振幅、周期、频率、速度、加速度、相位、相位差等；描述机械波的物理量有振幅、波长、波速、周期、频率等。

The generalized chirp-like sequence has the ideal periodic auto-correlation function, optimum periodic cross-correlation function and low peak-average power ratio.

广义线性调频序列具有理想的周期自相关特性和最优的互相关特性，以及低峰均功率比特性，因而被用作训练序列来估计每个用户的时间偏移。

Sc, there are two kinds of isotopes shaped body, the structure is trigonal system and the hexagonal Department, is found in the periodic table predicted decades before the first one confirmed the correctness of the periodic table of elements, which is very famous.

周期表中ⅢB族有银白色金属光泽的固体金属过渡元素，又属稀土元素，原子序数Z＝21，原子量4959，化学符F号Sc，有两种同位素异形体，结构正方晶系和六角晶系，是周期表预言十年后才发现的第一个证实周期表正确性的元素，因而很有名气。

Meromorphic function, holomorphic function, normality, iterate, fixed point, periodic point, periodic cycle, composite function, shared value, unicity theorem

亚纯函数，全纯函数，正规族，不动点，周期点，周期轨道，复合函数，分担值，唯一性定理

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。