查询词典 analytic method

In present paper how to get the solutionof dirichlet's problem of complex monge-amp'ere equation on the cartan-hartogs domainof the first type is discussed by using the analytic method.

但它的求解，尤其是高阶的求解非常困难。这篇文章就第一型的cartan-hartogs域上关于dirichlet问题的复monge-ampere方程进行讨论。

In present paper how to get the solutionof dirichlet's problem of complex monge-amp'ere equation on the cartan-hartogs domainof the second type is discussed by using the analytic method.

但它的求解，尤其是高阶的求解非常困难。这篇文章就第二型的cartan-hartogs域上关于dirichlet问题的复monge-ampere方程进行讨论。

Two sets of analytic functions are used in the horizontal directions and the method of discreteness is used in vertical direction.

用半解析单元法分析了矩形薄板与无限层土地基的静动力相互作用，提出了板单元和地基单元半解析位移函数。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

In the area of power device condition maintenance, research in our country focuses on large devices, such as transformer and dynamotor, but weak in circuit breaker"s condition maintenance and diagnose. There are some problems in the existing on-line monitoring system: a few of monitoring quantity and functions, lacking systemic orgnization and integration, a few of analytic method, and lacking methematic methods and techniques to identify circuit breaker"s running condition.

我国对于电力设备状态检修的研究多集中于变压器，发电机一类的大型设备，对于断路器的状态监测和诊断的研究还处于起步阶段，现有的在线监测系统中普遍存在以下问题：监测量少，功能单一，缺乏系统性和综合性；采用的分析方法少，对断路器的运行状态的识别缺乏有效的数学方法和技术手段。

Finally, on Earth-space paths, by applying a modification of the Rytov method that incorporates spatial frequency filter function under strong fluctuation conditions, a tractable model is developed for the scintillation index of a Gaussian optical beam wave that is valid under moderate-to-strong irradiance fluctuations. The scintillation indexes for collimation Gaussian beam are predicted by this analytic model, based on ITU-R C〓 model.

最后，应用强起伏下引入空间滤波函数的修正Rytov方法，发展了一种易处理且可用于从弱到强起伏地－空路径的高斯波束光波闪烁指数模型；基于ITU-RC〓模型，预测了准直高斯波束的闪烁指数，其结果和理论分析结果相符。

In this paper, the analytic solution for scattering of SH-wave by elliptic cylinder in anisotropic medium is given by the method of separation of variables in elliptic coodi- nates and Mathieu functions.

对于这一课题的研究，介质为各向同性时，有些学者采用波函数益加〔，积分方程技术田和Fourier积分方法⑧；介质为各向异性时，有些学者则利用复变函数构造解的完备函数序列，把间题转化为对一组无穷型的代数方程的求解〔魂，〔5，。

In this paper, the Jacobi elliptic function method is generalized to study nonlinear coupled scalar field equation , and a lot of new analytic solutions of nonlinear coupled scalar field equation are obtained.

推广了Jacobi椭圆函数展开方法，研究了非线性耦合标量场方程组的求解问题，得到了更多更新的非线性耦合标量场方程组的解释解。

Double pendulum ; analytic method ; Whittaker's theorem ; elliptic function ; integrable system

双摆；解析方法；惠特克定理；椭圆函数；可积系统

Speckle is also the fundamental uncertainty factor in this kind of sensors. The analytic expression of centroid uncertainty limit is derived from the statistic of laser speckle, and it is shown that the uncertainty limit in RST, and also in anamorphic triangulation, is dependent on the solid angle subtended by entrance pupil as seen from the illuminated laser spot, the triangulation angle, as well as the laser wavelength. The influence of aberration of optical system and surface roughness are also discussed.(4) A method of getting the 3D edge characters based on the integrated vision system is studied.

重点研究了RST中的激光散斑现象，从散斑统计学的角度，首次推导了激光散斑引起的旋转对称三角法位移测量不确定度的极限，结果表明在光学粗糙表面上，该极限由投射激光波长，光学系统入瞳对投射光斑所张的立体角，以及光学系统主光轴与旋转轴的夹角确定；这一结论同样适用于其他变形成像的激光三角法。4基于RST的工作方式，研究了利用集成视觉系统的扫描移动来获得被测物体的低分辨率三维信息的方法。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。