查询词典 analytic method

The validity of staggered grid real value FFT differentiation operator is confirmed by comparing with the analytic Cagniard-De Hoop method in the half space SH problem.

将该方法和Cagniard De Hoop解析法在求解半无限空间地震波动的问题中进行比较，结果表明，新微分法的精度和解析方法的精度相同。

The validity of staggered grid real value FFT differentiation operator is confir med by comparing with the analytic CagniardDe Hoop method in the half space SH problem.

将该方法和CagniardDe Hoop解析法在求解半无限空间地震波动的问题中进行比较，结果表明，新微分法的精度和解析方法的精度相同。

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。

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。

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。

The Establishment and Application of Evaluation Criteria System for Search Engines Zhu Qinghua and Du Jia ( Department of Information Management, Nanjing University, Nanjing 210093)According to the features of search engines, this paper establishes a set of evaluation criteria system for search engines by using Delphi Method online, and calculates the weight of these evaluation criteria by Analytic Hierarchy Process based on exponential scale.

本文结合搜索引擎的特点，采用网上特尔菲法进行专家调查以确定搜索引擎评价的各项指标，并利用基于指数标度的层次分析法确定各项指标的权重，从而构建搜索引擎评价指标体系。

This paper set out from the high order shear deformation theory at first, and utilize the spline finite point method to set up a new dynamic model of piezoelectric intellectual plate. Secondly ,a corresponding MATLAB program is written according to the theory, and has analysed the deformation of the piezoelectric intellectual plate. In the end , this paper has analysed the vibration control of the piezoelectric intellectual plate. Some results are compared with the analytic values, and have proved the rationality of the results of this paper.

本文首先从高阶剪切变形理论出发，利用样条有限点法，建立了压电智能层合板新的动力模型；其次，利用MATLAB语言编写了相应的计算机程序，对压电智能层合板的变形进行了分析；最后分析了压电智能层合板振动控制问题；其中一部分结果与相应的解析解作了详细的比较，证明了本文结果的合理性。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。