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And we show the form of the reduced density matrix master equation and its solution at first .Then we derive the solutions of Ohmic spectrum and Laurent series spectra master equations. Finally, we make analysis of the solutions of stochastic process and their coefficients from the cumulants, late time uncertainty function and linear entropy

首先展示了有关约化密度矩阵主方程的形式和解的形式；接着推导出欧姆谱和分洛朗级数谱这两个随机过程主方程的解；最后从累积量，延时不确定关系和线性熵等方面来研究随机过程主方程的解及其系数特点。

Furthermore, we prove the conditional stochastic decomposition of queue length and waiting time in the stationary state and gain the distributions for additional queue length and additional delay.

此外，我们也证明了稳态条件下的队长和等待时间的条件随机分解并得到了附加队长和附加延迟的分布。

Sufficient conditions for existence of positive periodic solutions of these systems are established and we investigate a stochastic Lotka-Volterra ecosystem, by use of the mixed quasi-monotone theory and Liapunov function method, some new results are obtained.

最后，我们研究了n种群随机Lotka-Volterra生态模型，利用混合单调流理论和It〓型随机微分方程知识，得到了其解过程的均方渐近稳定性和强生态稳定性的结果。

The life insurance and the annuity insurance are two fundamental modes in the life insurance operation, this article to these two kind of safe forms essence calculated the technology conducts the research, separately has established under the stochastic interest rate the entire separate as well as the continual life insurance fine calculates the model.

人寿保险和年金保险是寿险经营的基本形式，本文对这两种保险形式的精算技术进行重点研究，分别建立了随机利率下全离散型以及连续型的人寿保险精算模型。

Matlab prepared for the linear Gaussian stochastic differential equation expansion of discrete Kalman filter procedures.

用Matlab编写的求解高斯线型随机差分方程的离散扩展卡尔曼滤波程序。

Based on the realization theory, the stochastic properties and subspace structures of linear system are described.

基于实现理论讨论了线性系统的随机特性及其子空间结构。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题，同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计，它们揭示了其水平集的测度与局部时之间的内在关系，刻划了多指标对称稳定过程水平集的分形特征，表明了研究此类问题的积极意义，该问题是随机分形研究领域的国内外学者所关注的热点问题之一；解决了多指标稳定分量过程的局部时存在性与连续性问题，进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题；此外，本研究项目还解决了布朗单样本轨道的重分形分析，即高维白噪音的重分形分析问题。

The paper provides a new dimension-reduced method of sensitivity analysis for stochastic user equilibrium assignment model based on the relation between its Lagrange function and logarithmic barrier function combined with a Courant quadratic penalty term. The advantage of this method is of smaller dimension than general sensitivity analysis and reducing the complexity.

基于随机用户平衡分配扰动模型的Lagrange函数及带柯朗二次惩罚项的对数边际函数之间的关系给出了一种的新的降维灵敏度分析方法，与通常所说的灵敏度分析相比它的优点是大大减小了计算的维数，降低了复杂性。

After that we give a presentation of ion lysenkoism which describe the potential change between the two sides of membrane and present the Hodgkin-Huxley model and it\'s equations set.We introduce the basic conception of stochastic resonance and coherence resonance subsequently.

然后，给出了神经元的基本知识，包括神经元的基本结构，神经元细胞膜离子浓度的分布，离子电位梯度和平衡电位，神经元的静息电位、动作电位，接着本文给出了描述神经元膜两边电压变化的离子学说及Hodgkin-Huxley模型和它对应的方程。

In a Make-to-Stock or an Assembly-to-Order environment, Base model and Commonality model, which are characterized by multiple end products, multiple components, multiple stages, with stochastic demands and a periodic review order-up-to base-stock policy in a multi-period setting, have been introduced, formulated and analyzed.

根据独立的Order-up-to控制策略将复杂的库存网络分解成许多简单、易处理的仓库，每个仓库都需达到一个局部服务水平，这样就可以把生产规则写成确定基本库存水平的形式。

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。