随机的

Relative to SDE, the study for the solution of BSDE under non-Lipschitz condition is absence, especially when the uniqueness of the solution can not be guaranteed, the existence of minimal and maximal solution of BSDE are not be studied.

相对于正向随机微分方程，非Lipschitz条件下倒向随机微分方程解的性质的研究尚不够丰富，特别是条件不能保证方程解唯一时，倒向随机微分方程最大最小解的存在性尚未见有成果。

The equation to calculate natural frequency and the expression of dynamic response have been built, and the digit characteristics of natural frequency random variable and dynamic response are derived.

推导出了求解随机参数链式结构动力特性的方程式和随机参数链式结构动力响应的计算表达式，并推导了结构固有频率和动力响应随机变量的数字特征计算表达式。

The results obtained in the thesis are as follows: Firstly, the thesis proves that the inner measure and outer measure which defined by Fagin and Halpern are a kind of random sets, generalizes the concept of random sets to Boolean algebra's, and hence establishes the theory of the generalization of random sets.

本文的主要结果如下：①本文证明了Fagin和Halpern提出的内、外测度可表示为一种随机集合，并把随机集合的概念从幂集合推广到了布尔代数上，从而提出了广义随机集合理论。

This paper is concerned with two problems: First, a formula is derived to estimate the error of system identification from the autoeorrelative function of stationary random disturbances and that of pseudo-random sequences. It can be used to select the type of pseudo-random sequences to be used for quick identification with a given error.

本文讨论了两个问题：(1)导出了平稳随机干扰的自相关函数、伪随机序列的自相关函数和系统脉冲响应辨识误差之间的定量关系式，可用来选择伪随机序列和估计试验误差。

A new way to analysis nonstationary stochastic process is to divide it into piece-wise stationary stochastic process.

摘要将非平稳随机信号划分为分段平稳随机信号进行处理，为非平稳随机信号的研究提供的一种新的分析方法。

One may be generated from filtering a stationary random process through a timevariant system.

演变随机激励引起的演变随机响应问题是工程上广泛存在而又十分重要的随机问题，本文对此进行了全面系统的研究。

Since a BSDE is a well-defined dynamic system, it is very natural and appealing,first at the theoretical level, to consider the stochastic control and game problems in which BSDEs arc used to described the control systems.

由于BSDE是一类具有良好结构的动态系统，自然的，我们去研究以BSDE作为控制系统的随机控制问题和对策问题，我们称之为倒向随机控制问题和倒向随机对策问题。

The concept of Stochastic model of Electric Po...

在本文的第二部分分两种情况讨论并给出了随机电价模型，一种是在单一市场条件下的随机电价模型，另一种是在多市场环境下的随机电价模型。

The system with the Bouc-Wen hysteretic force is converted into an equivalent non-hysteretic nonlinear stochastic control system. Then an It stochastic differential equation for total energy is derived by using the stochastic averaging method.

先将该系统变换成等价的非迟滞的非线性随机控制系统，再运用随机平均法导出关於能量的It随机微分方程。

Based on the principle of energy equivalence, the expanding expression of seismic acceleration process is achieved. The seismic process is expanded into a linear combination of deterministic functions modulated by 10 uncorrelated random variables.

为此，提出了从地震动位移过程的正交展开出发，引入一类能量等效原理，获得了地震动加速度随机过程的正交展开式，进而将地震动随机过程展开为由10个独立随机变量所调制的确定性函数的线性组合形式。

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。