随机

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

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。

A decimator receives a feedback random bit sequence and provides an output random bit sequence that is representative of a selective outputting of the feedback random bit sequence.

抽取器接收反馈随机比特序列并且提供输出随机比特序列，所述输出随机比特序列表示所述反馈随机比特序列的选择输出。

The identity and difference in the expressional patterns between distribution functions of discrete random variables and distribution functions of continuous random variables are elaborated,and the main expressional patterns of distribution functions of continuous random variables are summarized,and the derivability of distribution functions of continuous random variables is discussed.

0引言在概率论中，连续型随机变量分布函数的表达形式及其可导性是一难点。其一，离散型随机变量的分布函数有较明显的性质和统一的表达形式，而连续型随机变量，由于其概率密度函数一般为分段函数，根据其分段区间的差异，表达形式差异较大，不容易总结其规律，本文主要比较连续型随机

The main contributions are summarized as the following.Firstly, assuming demand is segmented by order lead time, a joint pricing and capacity allocation model is formulated considering scenario-based demand. Due to the stochastic discrete variable in the model, robust optimization is used to solve the model. Numerical examples prove our model and method reflect the stochastic characteristics of demand and provide more pratical pricing and capacity allocation policies than other methods of deterministic and stochastic expectation programming methods especially when the capacity is tight.

本文的创新之处概括为如下几个方面：首先，假设制造企业根据交货提前期对市场细分，建立了考虑需求情境的BTO模式下制造企业定价与能力分配的集成模型，利用稳健优化规划方法对此随机模型进行转化和求解，算例仿真表明随机优化规划方法较确定性规划和随机期望值规划方法更好地反映了随机离散需求的分布和波动特征，更加接近实际运作情况；产能越紧张，各类需求的价格差距越大，三种规划方法给出的最优策略差距越大。

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法，基于模糊变量的等价随机化变换，可以方便地得到模糊随机失效概率的计算公式，并建立了模糊随机可靠性分析的一次二阶矩法。

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

based on the introduction of the merit and shortcoming and the analysis of the generate methods of the main random sequences,we propose a new method which is based on the substitution and recurrence structure,and the method is implemented by fpga.the generated sequences by this method not only can pass the test of the fips 140-2 standard,but also have high performance:long period,high linear complexity,good correlation function value and high generation speed,it can be used widely in information security system and so on.

摘 要：在介绍了现有随机序列的优缺点以及分析随机序列主要产生方法的基础上，提出了一种基于循环替换原理的伪随机序列产生方法，并用fpga加以实现。该方法产生的伪随机序列完全符合fips140-2标准，并具有周期长、线性复杂度高、相关性好以及产生时间短的特性，能广泛应用于信息安全等系统中。

Both FIPS 140-2 and SP 800-22 testing suites issued by the National Institute of Standards and Technology of the United States are employed to evaluate the performance of the generated pseudo-random bit sequence, showing satisfactory results.

使用美国国家标准和技术局的FIPS 140-2及SP 800-22测试标准对该伪随机比特发生器实际输出的伪随机比特序列进行了测试，实验结果表明该发生器所产生的伪随机比特序列随机性能良好。

Aim at the efficiency and precision of the stochastic FEM, two kind of new stochastic FEM are put forward and the correlative theories and methods are established: 1 The stochastic FEM based on Gauss integral method Establish the method of Stochastic FEM based on the Legendre integration.

本论文针对如何提高非线性结构随机有限元计算精度和效率，提出了两种新的随机有限元法，建立了相应的理论和方法，具体如下： 1、Gauss类积分随机有限元方法建立了基于Legendre积分的随机有限元方法。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。