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This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

Our method, without using Jacobin matrix, inherit many virtues of stochastic gradientboosting like perfect prediction precision and easily dealing with higher dimension.

该方法不用计算估计函数的雅可比矩阵，继承了随机梯度Boosting算法的许多优点，如较高的预测精度，容易处理高维数据等。

Fuzzy Reliability Analysis of Railway Crane Telescopic Jib under Stochastic Load.

随机载荷作用下铁路起重机伸缩臂模糊可靠性分析。

The construction creation unfolds develops, the picture is the factor which the junkman chance encounter one kind happens unexpectedly forms, therefore in the creation process, is not restricted in the sole individuality drill, but is goes to the stochastic chance encounter to combine constitutes some to become looks like is like not related condition, therefore has, the accident, the question, the chance encounter, the fault not definite, is unnecessary and so on the above phenomenon, then collides the building to be different with the former significance and the ideal condition, takes advantage of this initiates one kind of reverse side the construction thought.

建筑创作的展演，像是拾荒者巧遇一种不期然而然的因素所形成，因此在创作过程中，不受限於单一个性的操演，而是去随机巧遇组构一些成看似不相关的型态，因此产生不确定、意外、质疑、巧遇、失误、多余等上述的现象，进而碰撞出建筑不同於以往的意义和意境，藉此引发一种反面的建筑思维。

To derive the continuity of solution for stochastic Volterra equation, the Kolmogorov continuity criterion will play a key role.

2为了在随机环境下得到Volterra型方程的连续性，Kolmogorov连续性准则将起到非常关键的作用。

In this thesis, combining stochastic theory and Landslide, the author in troduces applications of...

本文从随机理论与滑坡学相交叉的角度，论述了概率理论和方法在斜坡稳定性研究中的应用。

The luminescence power of semiconductor laser diode is tested after the radiator element of laser diode is made and the drive circuit is designed. Then, chaos mathematic model is introduced to produce deterministic class stochastic signal and C langrage program, which is based on the hardware circuit design of MSP430, is designed and on-line debugged to implement the dynamic stimulation effect and avoid the body adaptability with the duty cycle of chaos sequence. The duty cycle is adjusted and controlled to accomplish the reinforcing and reducing in moxibustion. At last, Average power of laser diode is tested under the conditions of different duty cycles and the waveforms are collected by applying virtual instrument.

在半导体激光器散热装置的特别制作及工作驱动电路的设计基础上，完成半导体激光器发光功率的测试，然后引入混沌数学模型方法来产生确定性的类随机信号，在 MSP430 单片机硬件电路设计的基础上，应用单片机 C语言进行程序设计并在线调试，实现传统灸法的动态刺激效果，采用混沌序列占空比信号消除人体适应性，调整和控制输出占空比的改变以达到灸疗的补泻手法的实现，最后对不同控制占空比情况下激光器输出的平均功率进行测试，完成工作波形的采集。

In the second parts, a method on studying stochastic transition of the Fokker-Planck equation is introduced, how to use the method of the latent root to on the Fokker-Planck equation is mainly deduced.

第二部分介绍了研究马达的随机跃迁方法-福克普朗克方程的特征根解法，着重推导了如何用特征根方法解福克普朗克方程。

On the basis of that, the latitudinal attitudes of the shipping are estimated by using Kalrnan filtering. Then, the stochastic optimal control schemes of the latitudinal attitudes are also studied.

在此基础上，用卡尔曼滤波方法对其横向所受力矩进行了最优估计，并进行了横向姿态的随机LQG控制规律的研究。

The advanced stochastic imperfection method is used to research the imperfection sensitive region of single-layer latticed dome s.

借助结构缺陷稳定分析的改进随机缺陷法，研究了单层网壳结构的缺陷敏感区域。

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。