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The structure of analytic solution space is obtained and general form of the analytic solution is presented by means of Dirichlet Series. The convergence of Dirichlet Series solution is discussed.

根据比例延迟微分方程的性质，我们构造了Dirichlet级数形式的解析解，证明了Dirichlet级数形式解的收敛性，获得了保证方程解析解渐近稳定的充分条件。

Fully and clearly analytic expression of multiwavelet transformation is given .The experiment of speckle reduction to US image is implemented by choosing local error as threshold. Results show that multiwavelet transformation is useful for speckle reduction and there have little noise and reserve important image features such as boundary when compared to results obtained from existing the denoising methods alone.

在二维图像阵列的应用方面，通过采用局部方差作为阈值，对超声斑纹图像进行阈值化去噪处理的实验结果表明，多小波变换在有效抑制斑纹噪声的同时，相对于其他方法还能更好地保留原图像的边界等重要特征信息。

In the paper, the logarithmic transformation for the analytic solution on the space-time change of the tracer concentration during the instantaneous injection and the process of the one dimensional steady flow field and two-dimensional unsteady hydrodynamic dispersion is performed, and the linear equations have been obtained.

该文将描述瞬时投放示踪剂、一维稳定流场二维非稳定水动力弥散过程中的示踪剂浓度在时空上变化的解析解进行了对数变换，得到一直线方程。

From energy balance equation, using micro-piece analytical method, heat balance equation for high power fast axial flow CO〓 laser tube is established with the boundary conditions of actual fast axial CO〓 laser, the analyzed solution of the temperature distribution in the laser tube is obtained.

并应用热传导的物理边界条件，求出了热能平衡方程的解析解，得到了实际器件放电管横截面内的气体温度分布公式及温度分布曲线，并求得了激光功率变化对热致负透镜焦距的影响关系式。

Along with the science and technology rapid development, the analytical chemistry obtained day by day the widespread application.

随着科学技术的迅速发展，分析化学得到了日益广泛的应用。

We have researched the decentralized stabilization problem of nonlinear large scale composite systems by differential geometric and analytical method, it is shown that the results are better than that one obtained by using only one of these two methods.

本文分别采用代数方法与分析方法、微分几何方法和分析方法相结合的方式讨论了比较广泛的非线性组合大系统的分散反馈镇定问题。

With this model analytical solutions for differential equations of the projectile's motion within an ideal bore can be obtained. Comptations for some projectile...

求得了对称弹丸在理想身管中的运动微分方程的解析解，并对某些弹炮系统进行了计算，得出了一些有用的结论。

On the basis of the simplified differential equations, analytical solution of the radiation damping coefficient for a thin layer is derived, and then a simplified formula taking into account of a number of important influence factors is obtained.

求解了薄层辐射阻尼的解析解，并拟合了包含足够信息同时又便于使用的近似公式。

With aid of techniques of analytical continuation and conformal mapping, exact solutions are obtained for three typical problems concerning Eshelby's inclusion. The three problems are1 interaction between an arbitrarily shaped Eshelby inclusion and a circular inhomogeneity in transversely isotropic piezoelectric medium; 2 interaction between an arbitraily shaped Eshelby inclusion and an interface in anisotropic piezoelectric medium, the interface in our investigation may be a perfect interface, or a frictionless slipping interface , or a compliant electrode layer is embedded along the full interface of the bimaterials; 3 interaction between an arbitraily shaped Eshelby inclusion and an elliptical hole in anisotropic piezoelectric medium.

通过采用解析延拓和共形映射技术，获得了压电复合材料中有关Eshelby夹杂三个典型问题的精确弹性解答，即横观各向同性压电介质中任意形状的Eshelby夹杂与圆柱异相夹杂间相互作用；一般各向异性压电介质中任意形状的Eshelby夹杂与双压电材料所形成界面的相互作用，我们所考虑的界面包括理想界面、滑动界面以及柔性金属电极层增强界面；一般各向异性压电介质中任意形状的Eshelby夹杂与椭圆孔洞的相互作用。

In chapter three, the dynamics of a driven spin-boson model is studied by means of the perturbation approach based on an unitary transformation. Analytical expressions for the population difference and the coherence of the two state system are obtained.

在第三章中，采用基于幺正变换的微扰方法，我们研究了驱动spin-boson模型的动力学，得到了在微波驱动下二能级系统的粒子数反转和相干性的解析表达式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。