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For the definition of two damage variables,damage variable and damage evolution equation are derived respectively.

针对两种损伤的定义，给出了损伤变量和损伤演化方程，同时用损伤力学定义了边坡的安全系数为极限损伤与最大损伤变量之比，并给出了应用算例。

Recently Wang and Xiao discussed the excitation state energy of polaron in polyatomic crystals for the first time.

近年来国内外对多原子极性晶体中磁极化子性质的研究十分活跃，Zorkani等采用变分法计算了束缚磁极化子的基态能量，Kandemir等采用束缚朗道态讨论了二维大磁极化子的基态和第一激发态能量，国内一些学者采用微扰法和新颖算符法讨论了多原子极性晶体中表面和体磁极化子的性质。

Moreover,using Ito differential formul a to the constructed Lyapunov function along solutions of lto stochastic differential systems,Lyapunov method is adopted to set up the fundamental theory of dissipativity in the module corresponding to the theory on the dissipativity of deterministic ordinary dif- fere.

提出了有关Ito型随机微分系统耗散性理论的新概念：按模耗散、按模等度耗散和按模一致耗散，并利用Lyapunov方法，借助于Ito 微分公式沿着Ito型随机微分系统的解对所构造的Lyapunov函数求导数，给出了Ito型随机微分系统有关按模耗散理论的一些代数判据，获得了与确定性常微分系统耗散性理论相对应的结论，最后的算例证明了该方法的有效性和可行性。

Satisfactory numerical validation is presented including a preliminary investigation of time step effect and the value of fractional derivative order for different types of fractional differential equations.

数值算例对不同的分数阶微分方程进行了讨论，探讨了不同的分数阶和时间步长对计算结果的影响，并将计算结果与文献中相关算法的计算结果进行了比较。

In Chapter 3, we study the semilocal convergence for the method appeared in Chapter 2 under Lipschitz continuous condition of the second Frechet derivative, and get the corresponding error estimation by majoriz-ing function technique. And also, an application of the theorem to a non- linear equation is given.

在第三章中，研究了复合型Newton-Steffensen迭代方法在算子的二阶导数满足Lipschitz连续条件时的半局部收敛性，并利用优函数技巧得到了其在该条件下的误差估计，最后给出了这个定理的一个应用。

In this paper, high-level ab initio and density functional theory are used to theoretically investigate multi-channel radical reaction. The mechanism and kinemics of radical reaction are studied in our paper. We choice three typical systems which are gaseous phase molecules. Some beneficial results have been obtained.

本文用高水平从头算方法研究了多通道自由基反应的机理和动力学，选取三个有代表性的气相分子反应体系进行了研究，通过对这三个体系的分析得到了一些有益的结论。

In the present paper, the application of finite element method and its principle is discussed for this kind of calculations, a technique for the calculation of local grillage vibration is deduced and an example for...

本文讨论用有限元方法和原理应用于这类计算，推导了板架局部振动的计算方法，给出了计算实例。通过计算表明，本文方法可用于实际，为舰船振动校核计算提供了手段。

Analysis and Design for Grillage Foundation with Rigid Area;2. The considerable difference between the model with rigid area and models without rigid area can be found through the conclusion.

根据作者提出的带有刚域的弹性地基梁模型，编写调试了相应的计算机程序，分析了一些算例并与其它方法进行了比较。

In this paper the quantum mechanical algebra, the Moyal-Weyl multiplication and the Bopp transition are introduced, and the Hamiltonian operator of the charged particle in electromagnetic field is also discussed.

首先扼要介绍了非对易相空间中的量子力学代数、Moyal-Weyl乘法和广义Bopp变换，然后讨论了电磁场中带电粒子的Hamiltonian算符，最后给出了其在非对易相空间中的能级情况。

The shadow and block efficiency of the heliostats in the heliostat field considering the shadows of the tower in the tower Solar Power Plantshas been obtained by geometry optics.

经几何光学分析，导出了考虑接收塔阴影影响的太阳能塔式热发电站的定日镜有效利用率计算公式，并通过算例比较了考虑与不考虑接收塔阴影影响的定日镜有效利用率计算结果，验证了这些计算公式的正确性和考虑接收塔阴影影响的合理性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。