算出

Then, the analytical solution in frequency domain is obtained by using ...

给出数值算例，通过与有限元的比较验证了方法的正确性。

In this paper,we introduce the concepts of efficient solution for vector variational inequalities and f-quasimonotone operator,and give an existence theorem for vector variational inequalities in Banach spases.

引进了向量变分不等式有效解以及f－拟单调算子的概念，并给出了Banach空间中拟单调向量变分不等式的有效解的存在性定理

Its discretization is based on spectral elements in space and central differences method in time. The numerical result, shows that this approximation has spectral accuracy in space and up to second-order in time.

该解法引入一阶Clayton-Engquist-Majda吸收边界条件，在空间上利用谱元方法，在时间上利用中心差分的积分方法得到波动方程的离散形式，并给出具体算例进行了验证。

In this paper, a new numerical method, the coupling method of spherical harmonic function spectral and streamline diffusion finite element method for unsteady Boltzmann equation in the neutron logging field is discussed, and the convegrence and error estimations of this scheme are proved.

针对中子测井问题，研究非定常Boltamann中子输运方程的确定型数值求解方法，给出了求解Boltzmann方程的球谐函数展开和流线扩散有限元耦合方法，证明了这种耦合方法的收敛性和误差估计·实际算例表明此方法是有效

After that, numerical examples of period vibration and destroy of the spherical shell are presented.

给出了球壳产生周期振动和最终被破坏的数值算例。

Xie also provided the day of collapsing which he have caculated: It maybe collapsed at 2012, He said as predictor .the spume aways break out one day .no exception .any message to postpone it coming will exert further bed effert on it.

谢国忠还给出了自己算到的崩盘日期：泡沫可能在2012年破裂。他像预言家一样说道，泡沫总是要破的，没有例外，越想推迟其破裂，破裂的后果将越严重。

Theoretical analysis and a lot of practical examples show that the convergence of this algorithm is very stable, that its convergence rate is very fast, and that it can also give accurate calculation of the value of the pressure loss.

理论分析和大量实际算例表明这种算法具有非常稳定的收敛性和非常快的收敛速度，并且能够给出压降的精确计算值。

Subsequently, according to the geometrical and kinematic relations among different parts of the system, the constraint force and moment in the model is eliminated to obtain the standard form equation set which is fit for programming on the computer, and then programs it.

根据系统各部分间的几何及运动学关系，消去了模型中的约束力和约束力偶，得到了适于上机编程的标准化方程组，编制了模型的计算机程序，给出了程序算例。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

Markov chain, Statistical theory and Optimization method are used to study bonus-malus systems, mainly focusing on revising and designing of the bonus-malus system. The primaty research content and results are obtained as followes:1. Based on the characteristic that the policy will be divided into homogeneous composition and policies of non-homogeneity in a models to fit the claims numbers.

在保险实践中，将保单分为同质性保单(来源：ABC论d1文网www.abclunwen.com)组合和非同质性保单组合，根据这个特点，文中分别用不同的模型来拟合保单的索赔次数，具体的讨论了两类组合中两种特殊分布，对分布中的参数进行了估计，给出了数值算例，并分析了拟合结果。2。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。