随机的

In 2006 the concept of new chance space and hybrid variable was introduced by Baoding Liu.

混合变量则被定义为从机会空间到实数集的可测函数，随机变量，模糊变量，随机模糊变量，模糊随机变量则都属于混合变量的例子。

To simplify the problem of multiple lognormal random interferences, an equivalent method is proposed to approximate the sum of correlated random variables to the sum of uncorrelated ones.

为了简化多个对数正态随机干扰的问题，提出了1种等效方法，能将相关随机变量之和等效为非相关随机变量的和。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

Moreover, the statistical linear regression with fuzzy observation data is discussed. When the parameters of a Tagaki-Sugeno fuzzy system are perturbed with random noise, the system turns to be a stochastic T-S system.

设控制对象是用Tagaki-Sugeno模糊模型表示的非线性系统，当模型参数受到统计特征已知的随机噪声干扰时，就成为一个随机T-S模糊模型，本质上它是一个非线性随机微分系统。

It is a difficult problem for a big prime integer, if we select a primitive root according to its definition the performance of the secret communication could be affected seriously since the operation cost is very high. So this paper presents and proves an algorithm for searching a primitive root with high efficiency and gives the design of flow and corresponded JAVA program.

第一步：随机选取大素数P和在GF上的本原根g，并将P和g作为公开信息；第二步：用户A想和用户B建立保密通信时，就要交换共享的密钥KAB，A随机选取整数XA(1≤XA≤P-1)，并且计算出YA=gXAmodP经共用信道传给B，将XA保密；第三步：用户B随机选取一整数XB(1≤XB≤P-1)，计算出YB=gXBmodp，也经共用

The notion of random fuzzy variable was first introduced by Baoding Liu in 2002. A fuzzy random variable is a function from a probability space to the set of fuzzy variables.

模糊随机变量定义为从概率空间到模糊变量集合的函数，而随机模糊变量定义为从可信性空间到随机变量集合的函数。

Recently , the classical Riesz representation theorem on Hilbert spaces has been generalized onto complete random inner product modules ,in this paper the classical Friedrichs theorem on Hilbert spaces is generalized onto complete random inner product modules.

最近，经典的Riesz 表示定理已经被推广到完备随机内积模上，在此基础上本文将Hilbert 空间上经典的Friedrichs 定理推广到完备随机内积模上。首先，证明完备随机内积模上任一正Her2 mite 型惟一地对应一个正自共轭算子。

In constructing the model of the optimization of the industrial structure, the pollutant emission will be a stochastic variable, by using stochastic optimization it will solve the uncertainty problems in environmental pollution, on this basis, the author constructed a China's industrial multi-objective dynamic Stochastic optimization model, and has given model solving methods.

在产业结构优化模型中将污染物排放作为随机变量处理，应用随机优化方法解决了环境污染的不确定性问题，在此基础上构建了中国产业结构多目标动态随机优化模型，并给出了模型的求解方法。

The relationship between stochastic Petri Nets and basic stochastic process is analyzed.

分析了随机Petri网和基本随机过程的关系，讨论了各类随机Petri网的求解方法。

The model is applied to numerically calculate the dynamic bending strength of concrete trisection beams subjected to impact load with the strain-rate effects of the meso-structure taken into account.

本文在随机骨料模型的基础上，提出了既能反映混凝土骨料分布随机性又能反映混凝土细观各相材料力学特性随机性的随机骨料随机参数模型。

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。