解析变换

Its analytic solution is obtained by multiple conformal transformation s including elliptical functions,and the pressure and streamline distributions and the well flow rate are presented for the flow field.

将油藏工程中水平井网渗流作为复杂源汇边界矩形区域的流动，通过椭圆函数等多重保角变换求得其解析解，并得到渗流场的压力分布、流线分布及井产量。

The electrostatic driving, in which the electrostatic force is normal to the electrode plate, is reviewed. Fringe effects of some typical micromechanical structures are investigated. Analytical formulas are obtained using conformal transformation.

对于法向静电驱动问题，本论文作了较完整的介绍，对典型体微机械结构在法向静电驱动时的边缘效应作了讨论，用保角变换方法得到了边缘效应的解析表达式，对微结构的设计有实用价值。

In this paper, self-orthogonali zation was used to speed up the convergence rate of transform domain adaptive le ast-mean-square algorithm, and the analytical expression of system bit e rror rate was deduced.

但由于必须通过迭代收敛达到稳态解，自适应滤波算法不能锁定快变干扰。文中利用正交加速算法提高最小均方误差算法的收敛速度，推导出了使用变换域自正交加速算法时系统误码率的解析表达式。

Firstly, a balance equation is erected, And then,on the basis of the predecessor formula and with the Convolution Theorem and Fourier inverse transforms,a semi-analytical solution of the velocity response in time-domain under semi-sine exciting force is given.

建立成层土中桩纵向振动平衡方程，利用卷积定理和傅立叶逆变换求得半正弦脉冲激振作用下桩顶速度响应的半解析解。

The theoretical solution of eigenfrequencies and vibration models of rectangular thin plate on foundation with completely free boundary was derived by the double finite cosine integral transform method. In the analytical process, the elastic foundation was regarded as Winkler foundation model.

将弹性地基以Winkler模型模拟，利用双重有限余弦积分变换的方法推导出了弹性地基上四边自由矩形薄板的固有频率和振型的解析解表达式。

Thus in this thesis, we will made a detailed introduction of our method--perturbation based on unitary transformation, and apply it to several models to investigate the Non-Markovian decoherence and disentanglement dynamics of dissipation two-state system.

本文中，我们介绍一种新的解析方法-基于幺正变换下的微扰理论，并且把此理论应用到具体的实验模型中，推导了耗散二能级系统非马尔可夫退相干和退纠缠动力学。

By using some elementary matrix transformations,an analytical general solution of the second-order Sylvester matrix equation is obtained in an iterative form.

通过矩阵初等变换，给出了该矩阵方程的迭代形式的解析通解。

The nonlinear equation of heat conduction is transformed into a Laplace′s equation by applying the Kirchhoff transformation ,and an analytic approximate solution of the equation is derived.

当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法，基于模糊变量的等价随机化变换，可以方便地得到模糊随机失效概率的计算公式，并建立了模糊随机可靠性分析的一次二阶矩法。

According to the analytical expression, the phase grating of periodic and non-periodic system is calculated and the result keeps good agreement with that by fast Fourier transform, and the computation time is reduced up to 7 times comparing with fast Fourier transformation which is important to realize monitoring in situ in modern high-resolution technique.

3由以上解析式计算得到的晶体和非晶体的相光栅结果与快速傅立叶变换的结果一致，且能有效地缩短计算时间，这对于实现现代高分辨象的实时监测是很有意义的。

We will see more and more activist government policies that distinguish economic activities according to the nationality of the actors.

我们将看到越来越多激进的政府政策，这些政策根据企业的国籍来区分经济活动。

If we can prove the independence of an axiomatic system, then we can guarantee the conciseness of this system, ie.

如果能够证明某个一阶谓词系统的独立性，那么就能够保证该系统的建立是精炼的，即没有任何一条公理或推理规则是多余的。