随机

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。

The primitive polynomial of 3-12 pseudo-random sequence generator is obtained after the deductions. The better nonlinear feedback function of all states pseudo-random sequence generator can be picked out according to the characteristic of pseudo- random sequence signal, then using all states of shifting counter through modifying the linear shift register feedback network to realize the all states pseudo-random sequence signal.

经过推导可以得到3-12 bit伪随机序列发生器的本原多项式，再根据伪随机序列信号的特性选择出较好的全状态伪随机序列发生器的非线性反馈函数，即通过修改线性移位寄存器的反馈网络将移位型计数器的全部状态加以利用，实现全状态伪随机序列信号。

By producing pseudorandom number series, we rectify the power spectrums of normal random inputs in the same shape as power spectrums of simulating signals. Through Laplace transformation, we can acquire the frequency response functions of rectifier. Two simulating examples were presented. The power spectrum curves based on one peak function model were almost coincided with the power spectrum curves of simulating loads shown in the figures. Simulating results of input loads had good accuracy. Creating a simulating method and program of input load in this paper was effective.

本文利用随机过程仿真的一般理论在已知随机载荷的分布特性、均值、方差和功率谱函数以后，实现随机载荷的计算机仿真，即利用仿真技术得到符合已知载荷的分布特性和功率谱特性的随机载荷的时间序列。1 产生伪随机数序列及分布整形采用乘同余法产生伪随机数的递推公式为[2 ] ：yi+1 =λyi ( 1 )式中M =2

As a result, the mass matrix, the stiffness matrix, the damping matrix and the excitation coefficient matrices of the dynamics differential equations are random parameter matrices. According to the minimum deviation rule of the mean squares between the random parameter system and the deterministic parameter system, the random mean square deviation vector function between the two systems has been set up and the deterministic parameter system has been solved.

应用Newton-Euler矢量法对挂接车辆系统建立了质量阵、刚度阵、阻尼阵和激励系数阵皆为随机参数阵的八自由度随机参数系统动力学微分方程，并按照随机参数系统与确定性参数系统之间的均方值偏差最小的原则，建立了两系统之间的随机均方偏差矢量函数，由此解出了相应的确定性参数系统

From the relationship of the random set and random membership function, various combination rules from stochastic point of view can be constructed.

最后通过建立随机集和随机隶属函数之间的对应关系，并利用随机集的特点，作者得到了随机隶属函数的组合律。

The whole retrieval process was composed of random segment retrieval and total matching: the first was to select a segment from template model as object to retrieve in stored signal and the second was to judge whether the potential object signal was the template model based on random segment.

把整个检索过程分成随机段检索和整体匹配两个阶段：随机段检索是从参考模板中随机选择一段作为检索目标进行检索；整体匹配是在随机段检索出的基础上，判断潜在目标信号是否为参考模板。

Firstly, the random walk problem is introduced and the solution is schemed out theoretically. And then, the equivalent RC circuit for thermal analysis is discussed as the IC package is divided into many small blocks at the desired level of granularity. The techniques of analyzing the equivalent RC network by random walk algorithm are then discussed. At the same time, an equivalent model for thermal analysis is set up according to an IC chip. The proposed method is then applied to this model for both steady and transient analysis. Two speedup strategies, pseudo parallel walking and walk results reuse, are proposed sequentially to improve the algorithm performance.

首先简述随机行走问题的基本概念，给出问题的理论解法；然后讨论基于三维网格划分的IC芯片热等效阻容网络模型，着重分析随机行走算法在热等效模型中的应用，并建立一个实际芯片的热等效模型，采用随机行走算法模拟计算模型的稳态温度分布和瞬态温度变化；最后针对随机行走算法应用中的不足，提出了伪并行行走和结果重用2种加速技术。

The range sidelobe of gaussian power spectrum random noise presents the ruleless shape envelope and decreases significantly with the correlation length increase, so it can be suppressed by increasing the length of the correlation data if the instruments are available.

通过分析硬件平台产生的两种随机噪声信号(改进型Logistic-Map的混沌随机噪声信号和基于Ziggurat算法的高斯分布随机噪声信号)的统计特性，证实了产生的这两种随机噪声信号可以符合应用要求。

In chapter 10, we propose the random weighting approximation method for distribution of sample mean under simple random sampling in one-dimensional finite population.

第十章 将随机加权法首次应用到简单随机抽样方案下的样本均值分布逼近问题中，从数字特征角度说明了随机加权方法在抽样理论中的可用性，从而拓广了随机加权法的应用范围。

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。