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In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

Moreover, we discussed the effect of the unsaturated gain coefficient, the cavity damping rate, ratio of the atomic injection rates and atomic exit rate on the area of destabilization that can lead to producing LWI.

第四章讨论了在自发辐射诱导相干的影响下，探测场的增益对探测场和驱动场间的相对相位φ的依赖以及粒子的退出、注入速率和非相干泵浦速率等参量对增益有无反转的影响。

The influences of decay coefficient of the cavity and the intensity of the field on the phase distribution as well as its fluctuation are discussed.The results show:if there is absence of the phase damping,the phase distribution oscillates with the period π/λ.It presents single leaf at t=nπ/λ,but it splits into multi-leaf construction during the evolution period due to the interaction between the field and the atoms.

结果表明：当腔不存在损耗时，光场相位分布概率以π/λ作周期性振荡；且在t=nπ/λ时刻，光场和原子是退纠缠的，相位分布概率曲线在极坐标图中呈单叶型结构；但在演化周期内，由于光场与原子的相互作用相位分布概率曲线会劈裂为多叶型结构。

Because the central difference method is conditional stable, the critical time step and damping were estimated by model analysis, which can guarantee the computation stability. In this paper, the mesh method was used to described the tool surface.

由于中心差分法的计算是有条件稳定，作者对确定系统临界时间步长和阻尼系数的方法进行了研究，采用模态分析理论估计临界时间步长和阻尼，保证了计算的稳定性。

Depending on the damping ratio , the roots of the system characteristic equation have three possibilities

根据阻尼比的值，系统特征方程的根有三种可能

Moreover, it displays the damping status of the circuit as well as the values and plot of the roots of the characteristic equation.

此外，它显示了阻尼状态的电路，以及价值观念和情节的根源特征方程。

Machine tool ; Cutting chatter ; Time-varying system ; AR model spectrum ; Modal damping ratio ; Characteristic root

机床；切削颤振；时变系统； AR模型谱；模态阻尼率；特征根

The models have been applied to an investigation on the chatter in a type Mx-4 lathe. An in-depth study has been made on the AR spectrum, the chatter modal damping ratio and the characteristic root of a time-varying system.

文中对时变金属切削过程颤振的AR谱特性、颤振模态的阻尼率、时变系统的特征根这三个方面都进行了深入的研究，指出了时变金属切削过程颤振的特点，提出了颤振状态下的机床切削系统仍然是稳定系统的观点。

With this method, the damping characteristic and the steady state stability of power systems can be considerably improved.

该方法紧密地结合了电力系统实际，考虑了电力系统对励磁控制的基本要求，能够同时有效地改善电力系统的阻尼特性和提高电力系统的静态稳定性。

Contrapose the phenomenon that the circler error probability is a little larger in the ground dynamic navigation test of the laser gyroscope strapdown inertial navigation system , a better vibration damping system needs to be designed for SINS with laser gyroscope .

针对激光陀螺捷联惯导系统在地面动态导航测试中圆概率误差偏大的现象，要求给激光陀螺捷联惯导系统设计出性能优良的减振系统。

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。