查询词典 stochastic

Based on the second PA derivative of mean steady-state system time with respect to a parameter of the service time distribution, we give the second-order stochastic approximation algorithm.

当最优化问题过于复杂，无法使用解析方法分析时，一个可行的方法是在参数的取值范围内用逐次逼近法找到最优点；在使用此类优化算法时，目标函数的样本导数是必需的。

Based on the model of stiffened plates with concentrated added mass, a study of the stochastic vibration was carried out, and system's mean value, mean square value, cross-correlation function, cross-spectral density function were calculated.

从带有附加集中质量加肋板的力学简化模型出发，推导给出了该模型的随机功率谱密度，并分析了系统随机振动响应的其他统计数字特征：均值、均方值、互相关函数和协功率谱密度。

Considering the randomness of the structural physical parameters and utilizing the random variable's functional moment method and the algebra synthesis method, the mean value and the variance of the mean square value of the structural displacement response under stationary random excitation are computed firstly from the expressions of structural stationary response in frequency domain. And then the expressions of the mean value and the variance of stochastic rigid frames dynamic reliability are educed from the Poisson formula of calculating dynamic reliability.

考虑结构的物理参数具有随机性，从结构随机响应的频域表达式出发，利用求解随机变量数字特征的代数综合法和矩法，导出随机参数刚架结构在平稳随机激励下的位移及速度响应均方值的数字特征，再由动力可靠性的Poisson公式导出结构动力可靠度的计算公式。

We will discuss the convergence of the sums of stochastic processes in Lp space by combined measure.

本文则进一步讨论了随机过程之和在Lp空间中依联合测度收敛的情况。

Stochastic Medium Model was widely used for predicting ground movement induced by tunneling in China.

在隧道施工引起的地层位移预测中，随机介质理论法是在我国应用较为广泛的实用方法之一。

A differential equation describing this stochastic process is derived, and a statistical distribution function of microcrack size is obtained.

本文导出了描述这种随机过程的微分方程，利用微裂缝形成长大的位错机理，解出了微裂缝大小的统计分布函数。

It is an improvement of the midpoint method of stochastic field.

本文提出一种新的随机场计算方法——关键点法。

Mining production is always influenced by the complicated environment, so it has milch randomicity and uncertainty. Therefore, computer stochastic simulation based On probability order of variables if used to estallish a dummy model and makes it Operate in the computer.

矿山生产过程受复杂的环境影响，有很大的随机性和不确定性，计算机随机模拟就是根据各变量的概率规律建立一个虚拟模型并使之在计算机上运转。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utility function are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utilityfunction are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。