解析法

2In view of the shortcoming of current analytical calculation method in solving inclined hanger cable suspension bridge,improved segmental catenary curve was put forward and nonlinear formulation group to fix on configuration of main cable of inclined hanger cable suspension bridge was deducd.Further more,a more efficient and simple FEM calculation method was obtained through establishing parameter calculation model and dynamic forecast.

2针对现有的计算悬索桥成桥主缆线形的解析计算方法在计算斜吊杆悬索桥方面存在的缺陷，提出了改进的分段悬链线计算方法，并导出了确定斜吊杆悬索桥主缆成桥线形的非线性方程组；然后针对原有的非线性有限元法计算复杂、计算效率低下的问题，采用基于ANSYS的APDL语言通过建立参数化的计算模型，并利用动态预测的方法总结出了一种效率高、操作简单的有限元计算方法。

It has some advantages, such as high transmittance, high resolution, high color saturation and low power consumption. However, color break-up is a serious issue to reduce image quality. We proposed two methods for reducing CBU phenomenon.

这种显示法具备了以下的优点：高色彩饱和度、高光穿透度、高解析度以及低功率消耗，但此种显示器却衍生出一个问题，我们称之为色分离现象，这个现象将会影响到人眼观看影像的品质，是一个不可忽视的问题。

Using a perturbation method, these linearized equations are solved for a composite sphere with the charge densities of the rigid core surface and of the surface layer as the small perturbation parameters. Analytical expressions for the settling velocity and electrophoretic mobility of the composite sphere in closed form have been obtained from a balance among its hydrodynamic, electrostatic, and/or gravitational forces.

以复合粒子之固体核心表面的电荷密度和多孔性表面层内的固定电荷密度为二个微小扰动参数，应用正规微扰法来求解这些已线性化之主导方程式，再藉平衡作用於复合粒子的重力、静电力和流体阻力等三种力后，可得到带电球形复合粒子的沉降速度及电泳可动度的解析形式表示式。

The coefficients in trial function can be gained by the point collocation method, then the solution of the boundary value problems is obtained. Non - uniform beams and irregular plates on Winkler foundation and plates on elastic half space foundation can be numerical calculated by the introduced method.

为对土与结构物的相互作用进行研究，在采用适当的土体模型的基础上，必需求解地基与基础的共同作用方程，而该共同作用方程一般是偏微分方程或微分积分方程，除一些简单的模型外，其解析解较难获得，因此只能采用数值方法求其结果，加权残仇法是一种L作鼠少、简便易行的数仇方法{2，但其解的精度'。

From the molecular current viewpoint, the magnetic vector potential was employed to obtain the analytical the magnet field distribution expressed by complete elliptic integral for axially polarized permanent magnet ring.

从永磁体的分子电流观点出发，应用矢量磁位法，对轴向均匀充磁的永磁环，建立用完全椭回积分表示的永磁环外部空间磁势和磁场分布的解析计算表达式。

The Green's function of infinite composite wedge was obtained by using Mellin transform technique.

在本文中，使用梅转换的技巧以及映射法原获得双质扇形角域在域内受一点热源以及边界受一温分布的全场解析解，并将解函整成简单的函形式。

In the studies of EEG forward problems, primarily the EEG computation models are established, the analysis solution for concentric circle models and the boundary element method for piecewise humongous models are developed. These provide the basis for EEG inverse problems.

在EEG正问题的研究中，首先建立EEG计算模型，研究了针对同心球模型的解析解法和针对任意分层均匀介质的边界元法，为EEG逆问题研究奠定了基础。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

In this paper,four aspects of the above problems were studied:Firstly, the problem of solving continuous linear operator equation inseparable Hilbert space is studied .

通过把第一类连续不适定算子方程转换为等价的无穷维方程组，然后利用投影法，给出了解存在唯一的充要条件；给出了连续线性不适定算子方程解析解，解决了不适定情况下解的表示问题，由此给出了算子方程的数值求解公式；进一步证明了，在解不唯一情况下，此表达式给出的解为算子方程的最小范数解，同时表示出了连续线性不适定算子方程的解集。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。