函数的振荡

That function does not appear to oscillate, and so is not likely to be audible.

该函数没有出现振荡，很有可能它不是可听的音乐函数。

The definition and stability criterion of resonant operating points in a CPT system have been described. A Poincarémapping model has been built up and its Jacobian matrix has been derived with the implicit function derivative rule and chain rule. Then the stability of the fixed points can be determined according to the eigenvalues of the the Jacobian matrix. It has been used to study an example push-pull CPT system with three resonant operating points.

文中给出了CPT系统中谐振点的定义及判断条件，建立了系统的庞加莱映射模型，并根据隐函数及复合函数求导法则，推导出了系统庞加莱映射周期不动点的雅可比矩阵，根据雅可比矩阵的特征值分布情况，即可判断各不动点的自治振荡稳定性。

The new method applies quadratic spline function to interpolate thenonharmonic function in Duhamel's integral.

本方法是利用二次样条函数对Duhamel积分中的非振荡型函数进行插值，导出了相应的数值积分公式。

The subsection integral is used to get a simple function at first in the numerical calculation, and boundary integral is realized by gauss integral on each panel and line, then the complexity and isstability as a result of the high frequency surge function can be avoided.

数值计算中，首先采用分部积分对被积函数进行简化处理，然后采用高斯积分实现面元和线元上的积分，避免了被积函数为高频振荡函数所带来的数值计算的复杂性和不确定性。

Green function defined inphase space differs from one in coordinate space by its struc-ture which exhibits nonlocatity in coordinates and oscillatorybehavior with respect to momenta.

在相空间中定义的Green函数不同于通常坐标空间的Green函数，在结构上显示出对坐标的高度非局域性，而对动量则显示出振荡行为。

Experimental results show that the power spectrum of the random oscillation function follows a power law, thus the Weiersterass-Mandelbrot function is introduced and the method and procedure of simulation for the ground motion produced by explosions are presented.

根据随机振荡函数功率谱满足指数关系的实验结果，引入Weiersterass-Mandelbrot函数，给出了爆炸所致地面运动的仿真方法和过程。

The cartoon component is described by piecewise smooth functions (Mumford-Shah model, or M-S model), while the texture is characterized by oscillating functions in G space.

其中结构成分用分段光滑的函数（即Mumford-Shah模型）刻画，纹理部分用振荡函数来描述。

Derived the partition law of damping of electromechanical mode, the relation between the real part of electromechanical mode and generators damping is showed in the analytical form.

论文主要内容如下：推导出了多机系统机电振荡模式阻尼分配规律，以解析的形式表示出了振荡模式实部与各台机阻尼的函数关系。

An explicit analytical solution of the threshold pump power of the laser has been derived based on rate equations which contain the attenuation coefficients of the pump and laser radiations as well as the major contribution of the re-emission of the upper level atoms to the pump wave by using the analytical solutions. An analytical solution of the minimum fiber length required for the onset of the oscillation is presented. In addition, the analytical solutions describing the variations of the density of the pump radiation and upper laser level population along the fiber length have also been given.

从速率方程组出发，在不忽略光纤损耗系数和保留再发射项主导部分的近似条件下推导出了双包层光纤激光器阈值泵浦功率的显函数解析表达式，得到了光纤激光器产生振荡所需的最小光纤长度的显函数解析解；还给出了泵浦光子数密度和上能级粒子数密度沿光纤方向随光纤长度变化的显函数解析解。

Considering the skin effect and skin depth, a thin wall model and a thick wall model are derived creatively with different frequencies of discharge currents, which are used to study the relation between the spark location and the potential difference for a cuboid electrode.

本文从放电电流为任意函数入手，阐述了电极电位差法的检测原理，首次利用傅立叶级数推导了电位差与放电时间的关系，证明了放电电流为阶跃函数时，电位差与放电时间成指数关系；当放电电流中含有高频振荡时，电位差与放电时间的关系为指数曲线上叠加相移后的高频振荡；根据放电电流频率的不同，考虑到趋肤效应和趋肤深度，首创了薄壁模型和厚壁模型，研究了长方体电极下表面二维放电点位置与电位差的关系。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。