随机的

According to the Logistic Equation and the impact of stochastic factors, a stochastic nonlinear dynamical model had been presenred. The max Lyapunov exponent was calculated by Oseledec multiplicative ergodic theory, the local stability conditions had been obtained; the global stability conditions had also been obtained by judging the modality of the singular boundary; the stochastic Hopf bifurcation was analyzed using the invariant measure of stable probability density, and the condition of stochastic Hopf bifurcation had been discussed. The key parameter impacting the urban domestic water consumption had been found by numerical emulation.

根据Logistic阻滞增长模型原理，考虑到诸多随机因素的影响，本文建立了一个城市生活用水量的随机非线性模型，运用Oseledec乘性遍历定理计算了模型的最大Lyapunov指数，得到了局部稳定性的条件；通过对扩散边界性态的分析，得到了全局稳定性的条件；通过分析系统平稳状态概率密度的不变测度，得到了模型随机Hopf分岔的条件，结合实际进行了数值仿真，得到了影响用水量的关键参数。

Moreover,using Ito differential formul a to the constructed Lyapunov function along solutions of lto stochastic differential systems,Lyapunov method is adopted to set up the fundamental theory of dissipativity in the module corresponding to the theory on the dissipativity of deterministic ordinary dif- fere.

提出了有关Ito型随机微分系统耗散性理论的新概念：按模耗散、按模等度耗散和按模一致耗散，并利用Lyapunov方法，借助于Ito 微分公式沿着Ito型随机微分系统的解对所构造的Lyapunov函数求导数，给出了Ito型随机微分系统有关按模耗散理论的一些代数判据，获得了与确定性常微分系统耗散性理论相对应的结论，最后的算例证明了该方法的有效性和可行性。

The working load of engin e in plowing can be taken for stable and normal random load whose power spectrum peak value is below 2 Hz. The working load of engine in rototilling contains bo th periodic element whose fundamental frequency is rotating speed of the blade s haft and normal random load of which the parts of energy centers in fundamental frequency and others are distributed over wider frequency band.

证实了犁耕作业发动机的载荷可以认为是平稳的正态分布的随机载荷，其功率谱曲线的谱峰在低于2 Hz处；旋耕作业发动机的载荷是兼有随机成分和周期成分的动态载荷，其中周期谐波的基频为刀轴转速，随机成分一部分能量集中于基频以内，部分分布于较宽频率范围。

The dissertation will study some problems in stream ciphers. The main results that the author obtained are as follows:(1) The concept of fuzzy linear complexity is presented initially. The estimation problem of the fuzzy linear complexity of the random vector is studied, and a lot of upper bounds are given. The limit properties of fuzzy linear complexity of random vector are studied, and the limit theorem and the limit of variance of the fuzzy linear complexity of random vector are given.(2) The concept of fuzzy nonlinear complexity is presented initially.

本文在前人工作的基础上对序列密码中的一些问题进行了研究；所取得的主要研究成果综述如下：（1）首次提出了模糊线性复杂度的概念，对随机向量的模糊线性复杂度的均值进行了估计，给出了几个上界估计公式，并研究了随机向量模糊线性复杂度的极限性质，给出了随机向量模糊线性复杂度的极限定理及其方差的极限。

In study of the truss structural dynamic characteristics analysis, randomness of the structural physical parameters and geomtric ones are all considered. The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient. Employing probabilistic distribution function expression for the random functions, through a series of mathematical processing including determination of limits of integrals, variable substitution etc., the probaabilistic density function for the truss natural frequencies are gained to realige accurate calculation for the reliability of the truss natural frequencies.

考虑结构物理参数和几何参数的随机性，通过构建随机参数桁架结构的有限元模型，利用瑞利商公式获得了结构固有频率随机函数的计算表达式，应用随机函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理，获得结构固有频率的概率密度函数，进而实现对结构固有频率可靠度的精确计算。

Some concepts about the reliability are described, and the method for calculating the reliability of system is provided by making linear substitution. While taking Stochastic Finite Element Method into the reliability calculation, a Nonlinear SFEM model is founded, and methods to resolve some problems in SFEM calculation are given. So as to the calculation of the force boundary, a method in FEM is provided for sabot pressure calculation, base of this, the numerical calculation model is carried out.

给出了弹丸发射强度可靠性计算中的一些理论和概念；给出了串联系统可靠性的逐步线性等效计算方法；将随机有限元方法引入可靠性计算中，建立了弹丸发射时的非线性随机有限元计算模型，并给出了计算中的一些问题的处理方法；在随机有限元的载荷边界的计算中，提出了弹带压力的有限元计算方法和在有限元求解思想上的数值计算模型。

Firstly properties of the HJ SDF are revealed, and some useful conclusions are obtained. Then by the HJ SDF's properties and the two fund separation theorem, the mean-variance spanning is investigated and the spanning condition is gotten. It is proved by the mathematical method that the spanning condition gotten from HJ SDF is equivalent to the spanning condition gotten from the other methods.

首先研究了HJ随机折现因子的性质，得到了一些有意义的结论；然后结合HJ随机折现因子的性质和两基金分离定理，对均值－方差张成进行了研究，得到了相应的张成条件；最后，从数学上证明，基于HJ随机折现因子得到的张成条件与基于其它方法得到的张成条件是等价的。

New properties and improvements on VSI. Combining the density processof local absolute continuous measure, properties of the martingale space H1 and semi-martingale space, and the closed image theorem of functional analysis (see the proofs ofTheorem 2.4.5 and Theorem 2.4.10), we obtain the general form of Girsanov Theorem forsemi-martingale vector stochastic integral .

特别是利用局部绝对连续测度的密度过程、鞅空间H1与半鞅空间的性质以及泛函分析中的闭图像定理(见定理2.4.5与定理2.4.10的证明)获得了一般形式的半鞅向(来源：Ab6BC论a1文网www.abclunwen.com)量随机积分的Girsa-nov定理，它对于随机分析的理论与随机积分的应用都具有重要价值。

Firstly,the sampling design has great impact on the accuracy of remote sensing classification.There exists great randomicity on the result of points and cluster sample verification on the different Sampling design.On the same sampling design,the stability of point sample verification is higher than that of Cluster sample verification.Secondly,the average accuracy of different sampling designs of multi-point and multi-cluster sample verification can reflect the accuracy characteristic.During the course of point sample verification,stratified sampling's error is lower than others'.During the course of cluster sample verification,systematic sampling and stratified sampling's accuracy are prior to simple random sampling's.

研究结果表明：（1）抽样方式对遥感分类精度评价结果的影响是客观存在的，不同抽样方式下的点样本和群样本检验结果都存在一定的随机性，但同一种抽样方式下，点样本检验精度评估结果的波动幅度小于群样本检验，稳定性比群样本检验要好；（2）不同抽样方式下的多次点样本和群样本检验的平均精度检验结果基本上都能够反映分类图像的精度特征，其中，点样本检验中，分层随机抽样点样本检验效果较好；群样本检验中，系统抽样群样本检验和分层随机抽样群样本检验的效果优于简单随机抽样群样本检验。

An example of a Markov chain is a simple random walk where the state space is a set of vertices of a graph and the transition steps involve moving to any of the neighbors of the current vertex with equal probability (regardless of the history of the walk).

举一个马尔科夫链的简单例子-----随机移动。随机移动的状态空间是由一组结点够成的图，而状态的改变是因为从当前的结点以相等概率的方式移动到任意一个相邻结点。（而这种移动是与原先的随机移动没有关系的。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。