任意的

Firstly,the generic conception of symmetry for a real sequence was proposed,and then,the symmetry-decomposition and the symmetric degree sequence are presented,which are deduced from the projection theory,the orthogonal-decomposition theory in inner product space and .

首先提出序列信号一般意义下的对称概念，然后由内积空间中的投影、正交分解理论以及内积量化两个信号线性相关程度的特性导出任意信号的对称分解及对称程度序列，对称程度序列定量刻画了信号随对称点的变化时对称特性的变化，在此基础上得出任意序列信号对称程度的定量指标——对称性指标。

The basic solutions were defined based on local coordinate system, and then the coordinate transform relation between the static and dynamic characteristics of magnetic bearing with arbitrary structure and the basic solutions were deduced.

研究了电磁轴承静动特性的计算方法，定义了基于局部坐标系的电磁轴承静动特性基础解，推导了任意磁极结构的电磁轴承动力学特性与基础解之间的坐标转换关系；在此基础上提出了利用基础解计算任意磁极结构的电磁轴承静动特性的方法，该方法简捷、快速，是电磁轴承静动特性计算的一套规范化、标准化的方法。

Integrate the load transfer principle and shearing displacement method to set up the load transfer equation between the pile of soil, using the discrete and fitting methods to solve the equation so as to educe the pile displacement of arbitrary section as well as the analytical solution. Comparing the results with the soil settlement solved by the Mair equation, the relative displacement can be gained.

1结合荷载传递原理和剪切位移法的思想建立隧道开挖作用下的桩土荷载传递方程，采用离散和拟合两种方法来对该一元二次非齐次微分方程进行求解，可分别得到桩身任意截面处的桩体位移以及桩身位移的解析解，并与基于Mair公式求得的地面下任意深度处的土体沉降进行比较，即可求出桩与桩侧土之间的相对位移。

Based on image we study the tool path generation technology and problem of tool path planning. We put forward an algorithm for self-discrimination of island relation and an automatic intersected method of the region machining unit, which can judge the relationship among any plane obturate contour line effectively and swiftly. We also study the tool path generation technology of two-dimensional machining, basso-relievo machining, three-dimensional lifting-pen machining. Meanwhile, we put forward an optimize approach of tool path, which improve the efficiency of engraving.

研究了图像的刀具路径生成技术与轨迹规划问题，提出了基于射线的岛屿关系自动判断和区域加工单元的自动分割方法，有效、快速地判断了平面任意封闭轮廓线之间的关系，研究了平面任意区域填充加工、浮雕加工、三维提笔加工的刀具路径生成的技术，提出了刀具路径优化方法，提高了雕刻加工的质量和效率。

We put forward an algorithm for self - discrimination of island relation and an automatic intersected method of the region machining unit , which can judge the relationship among any plane obturate contour line effectively and swiftly . we also study the tool path generation technology of two - dimensional machining , basso - relievo machining , three - dimensional lifting - pen machining . meanwhile , we put forward an optimize approach of tool path , which improve the efficiency of engraving

研究了图像的刀具路径生成技术与轨迹规划问题，提出了基于射线的岛屿关系自动判断和区域加工单元的自动分割方法，有效、快速地判断了平面任意封闭轮廓线之间的关系，研究了平面任意区域填充加工、浮雕加工、三维提笔加工的刀具路径生成的技术，提出了刀具路径优化方法，提高了雕刻加工的质量和效率。

Secondly, by establishing a discrete time Markov model with spatial reuse for a MANET, we analyze the performance of the network under the AODV routing protocol. The average route length and the probability to communicate within a limited hop distance are obtained. Several performance parameters of the route discovery and route maintain process are analytically studied, such as the probability generating function and the expectation of the flooding distabce. the probability that a route is discovered by a query packet with a "hop limit", the probability that a request packet finds a valid route, the average time needed to discover a valid route and the cost to successfully route a data packet to its destination. Furthermore, we present a concrete example based on the transmitter characteristic of directional antennas and obtain the corresponding results.

建立了移动自组网络空间可重用的离散时间马氏链模型，得到了AODV路由协议下网络任意两节点间的平均路由长度、在指定"跳限"要求下通信的概率；对随选型路由协议下路由发现和路由维护过程中若干网络性能参数进行了解析分析，如网络中任意两节点问的泛洪距离的概率母函数及其期望、限定泛洪步数时成功寻路的概率、发现一条有效路由的平均时间、成功路由的代价等；并基于定向天线的发射特征给出了一个具体实例，分析计算了相应的网络性能参数。

Firstly, based on the Duhamel integral and dynamic reciprocity theorem, the generalized Duhamel integral expression is written to a point in the half infinity space under moving load. Secondly, the train load is considered as a series of centralized loads with fixed distance. The dynamic response expression of a point in frequency domain and frequencywavenumber domain are derived out through the Floquet transform and Fourier transform under a moving load, and then the dynamic response of a point is gotten ...

以Duhamel积分为基础，首先应用动力互等定理，得到了移动荷载作用下，半无限大弹性连续介质空间上任意点的动力响应的广义Duhamel积分表达式；然后将列车荷载简化考虑为一系列具有一定间距的集中荷载，采用Floquet变换、Fourier变换等方法，得到了一个集中移动荷载作用下任意拾振点ξ的动力响应在频域和频率波数域内的表达式，进而由叠加原理得到列车荷载作用下的动力响应解；最后，通过算例说明该算法的适用性。

A grating function and a groove function are introduced to determine the structure of a concave grating. Basic ideas for the design of a flat-field concave grating with three stigmatic points are proposed. As a proof of the usefulness of these design approaches, image conditions of the grating with three stigmatic points are developed which concise with other published results and they are more general than those obtained from holographic gratings.

采用与分析三维光栅相类似的级数展开法给出了二维集成凹面光栅的球差、彗差的计算方法，计算中用光栅函数和槽面函数来描述具有任意形状和任意变化周期的光栅，提出了一种具有三个无像差点的平面场型凹面光栅的设计方法，利用该方法推导了三点无像差光栅的成像条件，与文献中用其它方法获得的结果相一致，该结果与全息光栅的成像条件相比，更具一般性。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

A movable plane is built that is perpendicular to the projection of sightline in xz plane; a radial from camera position to mouse point is built and the mouse wheel is used to control the forward and backward movement of the movable plane along the sightline direction; the intersection point of the mouse radial and the movable plane can be moved to any position in 3D space by moving the moveable plane; the coordinate of the intersection point of the radial and the moving plane is calculated, taken as the new coordinate of the object to be moved which is added into the romance pipeline, and the object movement can be implemented.

论文摘要：为优化虚拟三维管理领域的物体移动操作，实现利用鼠标完成物体在三维空间中任意点的移动过程，引入可移动平面的概念，在三维空间建立垂直于视线在xz平面投影的可移动平面；建立1条从摄像机位置到鼠标位置的射线，由鼠标滚轮控制可移动平面在视线方向上的前后移动；通过移动可移动平面，使鼠标射线与可移动平面的交点可以到达三维空间中的任意位置；计算射线与可移动平面的交点坐标，将其作为待移动物体新坐标放入渲染流水线，从而完成物体移动。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。