位置函数

In theoretical research by introducing pump and cavity beam distribution functions, we obtain the input and output relationship under stable conditions and analyze the effect of the distance between the laser diode and crystal medium on the pump threshold and slope efficiency.

理论上通过引入端面泵浦光场与振荡光场的分布函数，得到稳态条件下输入输出特性，分析了泵浦光焦点位置对泵浦阈值及斜效率的影响和在不同泵光功率下的最佳光斑大小及透过率。

Firstly,the effect of aberrationsof the optical system on Gaussian beams whose incident position does not coincide with thecenter of the pupil for the aberrated optical system has been analyzed,then we evaluate theStrehl ratio of the beams as a function of their incident position and the kind of aberrationspresented in the optical system.

首先，得到了初级和次级光学像差函数在光束坐标系中的表达式，继而给出了特定像差系统的Strehl比，并通过计算机模拟，得到了系统的SD值与光束入射位置和光束半径的关系曲线图。

By analysis and comparing with other kind of control system, according to the demands of the servo system for the Chamfering machines, the servo cylinder of the system was designed, the parameters of the opponents that was used for control and feedback in the system was calculated. Finally, the mathematics model of the position-feedback system was established, according to the model, the simulation frame was provided.

根据倒棱机对伺服控制系统的要求，通过分析及与其它控制系统的比较，设计了电液伺服系统的伺服油缸，确定了电液伺服系统控制及反馈元件性能参数，最后建立了位置控制闭环反馈系统的各个环节数学模型，并在此基础上绘出了伺服系统传递函数框图。

By employing the Jordan-Wigner transformation and a modified mean field method, we are able to determine its ground-state quantum phase diagram approximately. The chapter IV is the main part of this Thesis. It contains the main innovations in our work. We propose and study in detail a S=1 Ising chain with the interplay of single-ion anisotropy and dimerization. The main results and innovations are the following: We show that the total number of the zero-component of spins at each site is a conserved quantity. This quantity, which may intuitively called as hole's quantum number, is hidden in the system. We show further that the hole's number in the ground-state is zero; By using the Jordan-Wigner transformation, we map this model onto a series of subsystems described by the spin 1/2 dimerized transverse Ising model. We solve the subsystems exactly, by presenting the exact wave functions and spectra;We show that this system exhibits a series of quantum phase transitions by varying the dimerization strength. We determine the quantum critical points exactly. We also show that the criticality is the same as that of the uniform S = 1/2 transverse Ising chain.

第四章是本文的重点及主要创新内容，我们具体研究了自旋为1的在横向单离子晶格场中的一维二聚化Ising链，我们得到的主要结果和创新之处是：(1)证明了这一模型具有一种隐藏的对称性，即自旋第三分量为零的格点数目是一个守恒量，并证明基态出现在空穴数目为零的子空间中；(2)利用Jordan-Wigner 变换将此模型变换到一系列自旋为1/2的横磁场中的二聚化Ising 模型，并给出了相应严格的波函数及能谱；(3)我们发现系统的基态随着二聚化强度的变化将呈现出一系列量子相变，我们得到了量子临界点的精确位置，并证明其临界性质与自旋为1/2的横磁场中的均匀Ising 链中的临界行为属于同一普适类。

The results show that for the global scale characteristics of the vertically integrated vapor flux fields, which is described in terms of the rotational and divergent components of the stationary parts of the vapor field, both GOALS and FGCM--0 can reproduce the subtropical gyres in each hemisphere, the eastward water va- por transport of the mid--latitude westerlies, and the westward vapor transport of equatorial easterlies reasonably, though the precise positions of the gyres simulated by GOALS, and the intensities of the gyre centers in FGCM--0 do not match the observations accurately.

结果表明：(1)对垂直积分的水汽通量场的流函数及其对应的无辐散水汽通量矢量的模拟，三个耦合模式都能够较为合理地再现副热带大洋的涡旋结构、中纬度西风带的东向水汽输送、赤道东风带的西向水汽输送和东亚夏季风水汽输送等行星尺度特征及其季节变化，只是GOALS的涡旋位置、FGCM-0的涡旋中心强度，较之实际略有偏差。

Based on the experimental data of the strain of the geogrids at different embedments, a three dimensional strain surface that represents a function of coordinate and time is obtained. The time function for pull-out force of geogrids is deduced through integration of friction along total length of geogrids.

通过不同埋设位置的检测点所得到的格栅即时应变数据，拟合出格栅的三维应变曲面ε；对格栅表面上的摩擦力进行全段积分，得到格栅拉拔力的时程函数T。

The final parameter values can give the l ocation of the circle according to definition of the ene...

根据能量函数的定义，在其取得最大值时的参量即为所检测圆的位置参量。

Firstly, the maximum likelihood criterion is employed to model the multi-view tracking problem. Then, the likelihood function is factorized based on the conditional independent assumptions. Finally, the estimation of the target location in each camera view is obtained by using an efficient message passing mechanism. In our algorithm, image data from all cameras no longer need to be transmitted to and processed by a central unit.

该算法首先利用最大似然准则对多视角目标跟踪问题进行建模，并对似然函数进行分解，最后借助消息传递机制高效求解出跟踪目标在各个摄像机视野中位置的估计值，而不再需要将图像数据传输到中央处理单元进行集中式处理。

Firstly, the maximum likelihood criterion is employed to model the multi-view tracking problem. Then, the likelihood function is factorized based on the conditional independent assumptions.

该算法首先利用最大似然准则对多视角目标跟踪问题进行建模，并对似然函数进行分解，最后借助消息传递机制高效求解出跟踪目标在各个摄像机视野中位置的估计值，而不再需要将图像数据传输到中央处理单元进行集中式处理。

For narrow-band signals, three uniform linear arrays, whose grating lobes are not overlapped by setting the angles between the arrays and the same pointing of main-lobes, are used and then multiplication of three patterns is operated to reduce the grating lobes of large-spaced array, which makes the array operate in broad band. For wideband or ultra-wideband signals, array pattern in the whole frequecy band is identical by designing the frequency-dependent weighting coefficients based on the Bessel function, and therefore grating lobes in high frequency parts are suppressed.

对于窄带接收信号，利用三个相交的大间距均匀线阵，通过设置它们之间的角度和主瓣指向相同使各自的栅瓣位置错开，然后把三个方向图相乘从而抑制大间距阵列栅瓣，因而适用于宽频带工作；对于宽带接收信号，利用Bessel函数设计与频率有关的加权系数，产生整个信号带宽内恒定的方向图，从而抑制了高频部分的栅瓣。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。