解域

By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered in the paper.

在覆盖域的概念基础上，建立了椭圆孔边受单位集中力的反平面剪切问题的基本解，解决了无限域中含任意个椭圆孔和裂纹的反平面问题。

This model can provide the good base of adaptive modulation and coding and automatic repeat request as well as dynamic resource allocation.

首先分析了正交频分复用技术频域信道统计特性，说明了Nakagami-m分布能更好地描述衰落信道；然后针对高速移动及OFDM信号传输的特点，采用状态持续时间相等法建立了OFDM频域信道有限状态马尔可夫模型，分别给出了计算持续时间、状态门限及状态数、转移概率、状态差错率的一般方法及m=0.5\1\2典型值的闭式解，该模型能为自适应模型控制、混合自动重传请求 HARQ、动态资源分配等技术提供良好的基础。

3D seismic migration algorithms of holding circular symmetry ;2. Assuming that the point spread function is circular symmetry and considering that the image is actually complex conjugate symmetry in frequency domain, authors establish a new cost function in frequency domain.

算法假设退化系统的点扩散函数具有圆对称性，并考虑图像的频域具有复共轭对称性，在频域里建立了新的优化判据；采用共轭梯度算法搜索判据，从而在有实际物理意义的区域中收敛于最优解；对光学成像系统常见的离焦、衍射模糊问题进行了仿真；用该算法实现了其退化图像的恢复，给出并分析了结果。

Then, for the first time, a finite element model of the cylindrical shell surface was bring forward and set up.

首次提出和建立了柱体坐标系下的曲面柱壳单元有限元模型，以及在柱坐标系下的边界元法基本方程和柱坐标系下无限域与半无限域基本解。

From 1920s up to Now, various techniques and methods for wave field decomposition, propagation and migration/imaging have been well developed, such as the Kirchhoff asymptotic method, frequency-wavenumber domain phase-shift and phase-shift-plus-interpolation methods, and the one-way wave equation based phase-screen and generalized screen methods, etc.

自上个世纪二十年代至今，波场分解、传播与偏移成像技术经历了将近一个世纪的发展，形成了多种不同的方法，如Kirchhoff波动方程高频近似解方法，频率-波数域的相移(phase-shift)方法和相移-内插方法，以及在混合域中基于单向波动方程的相位屏、广义屏方法等。

Based on the Betti-Rayleigh dynamic reciprocal theorem, the reciprocal property of the Green function is demonstrated; and the analytical solution of soil vibration subjected to moving loads is deduced. By means of double Fourier integral transform, the problem is firstly transformed into wave number-frequency domain, which makes it very convenient to derive the solution and furthermore to analyze the frequency characteristics of soil vibration.

基于Betti-Rayleigh动力互易定理，论证了地基土Green函数的互易性，推导了移动荷载引起的地基土振动解析解，进而推证出移动常力荷载和移动简谐荷载作用下地基于表面振动在波数－频率域内和空间－时间域内的解析表达式，并采用Matlab对其进行数值计算。

From the structure of the hypersurface of the objective function, the method divides the flexible region into parts, constricts the parts,and finally converges to the global optimum.

该算法利用了目标函数超曲面在可行域中的起伏，对可行域进行分割压缩，并最终收敛于某个全局最优解。

In this paper, we discuss the initial- boundary value problem to the same class in two different tip domains respectively, and establish the existence and uniqueness of the generalized solutions in both domains.

本文继续就（1）中曾提到的两种条形域讨论了同一方程的初边值问题，并对两种域都得到了广义解的存在性和唯一性。

This paper analyzes the structure and distributed parameters of electrostatic discharge simulator during discharge, establishes a 9-component circuit model of BMM-ESD,obtains the current expression in complex frequency domain,and then gets a ESD current expression in time domain by Inverse Laplace transform.

为进一步发展BMM-ESP电流的电路建模求解法，分析了静电放电测试环境在实际放电测试过程中的寄生参量并建立了一个9元件ESD电路模型，求得了电流在复频域的表达式，进而通过拉普拉斯反变换解得了BMM-ESD电流时域解析式。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失