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Consequently the stochastic simulation method of compound extreme value distribution is brought forward.

根据复合极值分布的特点，针对复杂失效域下多维联合概率难以解析求解的困难，本文提出了多维复合极值分布的随机模拟方法，并验证了该方法的准确性，扩大了多维复合极值分布的应用范围。

Consequently the stochastic simulation method of compound extreme value distribution is brought forward. The present study shows that the simulation method is reliable and can give accurate solution. As an example, Poisson-Nested Logistic model is applied to the design of sea wall.

根据复合极值分布的特点，针对复杂失效域下多维联合概率难以解析求解的困难，本文提出了多维复合极值分布的随机模拟方法，并验证了该方法的准确性，扩大了多维复合极值分布的应用范围。

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。

First of all,the stochastic model in the fina ncia l market was introduced.

第二个模型是考虑债券和股票的最优投资及消费问题。

The calculation of reliability was based on the three dimensional perturbation stochastic finite element program which was developed by ourselves.

在结构可靠性计算中，采用自行编制的基于摄动理论的三维随机有限元程序，就焊接残余应力对结构可靠性的影响进行了计算，并讨论了断裂韧度、外载荷、裂纹尺寸三个随机变量的变异对结构可靠性的影响。

The mechanical parameters in the model are treated as random variables and it is then resolved with Taylor extension stochastic finite element method, The distribution characteristics of the pore pressure, the effective stress and the displacement are researched by treating the mechanical parameters of the rock as random variables. The sensitivities of the pore pressure, the effective stress and the displacement to the random mechanical parameters are also analyzed.

视模型中的参数为随机变量，采用Taylor展开随机有限元法对该模型进行数值模拟，研究参数具有随机性情况下耦合场中孔隙压力、有效应力，位移等场变量的随机分布特征及孔隙压力、位移等场变量对参数的灵敏度。

To address the problem of optimal allocation of grid resource, this paper proposed an analysis method for studying the game with finite population using stochastic dynamics.

针对网格资源分配的优化问题，提出利用随机动态来研究有限网格群体博弈的分析方法。

If there is a finite number of players and the action sets and the set of states are finite, then a stochastic game with a finite number of stages always has a Nash equilibrium.

如果随机博弈中参与者的数量有限并且每个博弈阶段可能的状态数量有限，那么一个具有有限博弈阶段的随机博弈一般都存在一个纳什均衡。

Established stochastic model for user strategy selections to study the game with finite population. According to the expectation utilities of user, produced invasion and fixation rates to quantify selection pressure during the repeated games. Finally, detailed the effects of population size on selection scenario under fixed utility matrix through example.

通过建立网格使用者策略选择的随机模型来分析有限网格群体的博弈，并利用期望效用生成选择过程的量化指标来判断使用者在反复博弈中策略选择的变化方向及其稳定性。

The killing probability in finite random stationary time series is studied by stochastic passage theory.

应用随机穿越理论分析了有限个随机滞留时间序列中的毁伤概率问题。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。