叠加原理

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. Finally, by inversion results and model trial, we verify the feasibility and stability of this method.

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。

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。

The principle make use of the MATLAB's comprehensive signal simulate capacity, imitate the signal of leaking and environment noise examinate from two sensors.

本实验利用MATLAB强大的信号模拟能力，模拟出两传感器中测得的声音信号，即管道泄漏信号和环境嘈声的叠加信号，再用汇编语言编制相关算法程序，用实验验证了相关检漏原理。

The expansion coefficients Of aperture fields are Obtained after the three-dimensional arbitrary aperture fields have been represented by the sum of three-dimensional Gaussian function in the configuration-spatial wavenumber phase space.

本文利用Gabor原理把三维任意口面场表示成离散结构－波数相位空间中三维高斯基函数的叠加，将二维高斯基函数与相位空间谱双重正交的函数推广到三维，从而得到口面场展开函数。

The optimal position of uniform section is calculated, and compared with the normal prism homogenizer. According to the theory that the beam energy refracted by the trapezoid prism is divided into 3 parts then overlapped in the base of the middle high energy, it realizes the use of association with the normal prism in two-dimensional.

实验中根据经梯形棱镜折射后光束能量在中间较强光束的本底基础上进行三分互补叠加的原理，实现了其与普通棱镜均匀器在二维方向上的组合使用；通过调节均匀器与接收屏之间的距离并同时记录每一位置处光束光斑的能量分布改善情况，确定了最佳均匀截面位置并与理论计算相吻合。

The first information law is the information law of inertia, the first law of information kinematics; the second information law is the information force independence or the additive principle and the information strength relational formula and the origin of the unit bit.

信息牛一定律就是信息惯性定律、信息运动学第一定律。信息第二定律、信息牛二定律，是信息力的独立性或叠加性原理，也是信息力的关系式及单位"比特m/s^2"来源。

After discussing the principle, method and advantages of RPM, we adopt StereoLithography Apparatus technique and be drived by the model of CAD of the product directly, through the laser machine focalize photosensitive resin under the calculator control, making its surface solidified layer by layer and folded to make into the entity prototype of the headlight, then making use of the technique of overcasting the mold with silica gel to produce injection mold.

在论述了RPM技术的原理方法及优点后，采用光固化成型技术，直接由产品的CAD模型驱动，通过激光器在计算机控制下聚焦到光敏树脂上，使其表面层层固化并叠加制成了车灯的实体原型，之后运用硅橡胶复模技术制成了注射模具。

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要：针对浮置板式轨道结构特点，取相邻2个扣件之间的轨道为1个轨段单元，钢轨视为连续弹性点支承Euler梁，浮置板视为弹性薄板，扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器，建立浮置板式轨道振动模型；将城轨列车中的车辆均离散为多刚体系统，各刚体之间通过线性弹簧及粘滞阻尼器相连，建立列车振动模型；将浮置板式轨道及列车振动势能叠加，得到系统竖向振动总势能；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程；采用Wilson-θ逐步积分法求解此矩阵方程，得出此系统竖向振动响应。

Thirdly, we superpose the multi-futures to single cash combination risk by use of the nonlinear hedging principle.

三是用非线性风险对冲原理叠加多种期货对一种现货的组合风险。

In the chapter 2, based on elastic mechanics and variation principle, the fundamental and process of static and dynamic FEM is presented, placing special emphasis on the modal superposition method.

第二章根据弹性力学和变分原理，系统总结了有限元法求解静力学、动力学问题(包括特征值、动力响应问题等)的基本原理和步骤，并重点对模态叠加法求解动力，响应问题作了阐述。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失