随机

Meanwhile, important random acute angle principle、theorem of random full mapping and theorem of random one-one mapping are proved.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

According to the statistic analysis of Prof. Amari on static recognition with neural networks, and introducing the concept of vector position stochastic variable of vector stochastic sequence, the stochastic variable is processed by DRNN. The relationship between input and output variance is analyzed. The stochastic analysis of dynamic identification is given, so as to explain the DRNN characteristics in recognition process.

第二，根据Amari教授对神经网络静态识别时的统计分析，引入矢量随机序列的矢量位置随机变量的概念，以该随机变量经过DRNN处理后，分析其输入与输出方差之间的关系，试给出了DRNN做动态识别时的统计分析，以从理论上说明DRNN在识别过程中的特性。

We give several sufficient conditions of NA and NSD properties of random variables, compare the closeness of distribution functions of order statistics between NA and independent rv's, investigate properties of NSD defined by supermodular functions, study the dependence structure of stationary Markov process and order statistics and their spacings from two samples, establish stochastic comparisons of order statistics of heterogeneous rv's in the hazard rate and the reversed hazard rate orders, and give the first analytic proof of the closure property of the up shifted likelihood ratio order under convolution.

给出判定一组随机变量NA性质的几个充分条件，并给出NA和独立随机变量的次序统计量之间"贴近性"的比较，系统地研究基于特殊函数类所定义的NSD负相依概念，给出一些判别NSD性质的结构定理和一些有用概率不等式。系统研究平稳马氏过程的相依结构。研究两样本次序统计量及其问题隔的相依结构。在失效率、反向失效率序和似然序意义下给出非齐次随机变量次序统计量的比较。给出上漂移似然序卷积封闭性的第一个解析证明。

The influences of stiffness of rock, different types of wave and angle of incidence for the response of soil layer are discussed.

在进行层状土层的随机地震反应分析时，通过将波动理论和随机振动理论有机的结合起来，以综合考虑体波斜入射情形及基岩弹性刚度对土层地震反应的影响，从而拓宽了土层随机地震反应分析的求解范围。

Snake Road in particular disk array with the snake ring, that is, first came here the other maze using random, first spent a day run the whole way to understand and then use a random fly, snake ring array can also fly, so to be tied with eight random consumption mainly in the Snake Road site, snake ring that strange multi-burst, N is also more than the middle of the White Snake is a snake of five Hall, there are three White Snake Brush loafers, but there is also fierce private Qing Dynasty, the general or other练级then into the bar, the White Snake to kill more than the total return or, if it is with the Master Taoist group, then, the 33 best to find a good training or a hammer and then with the Road do not turn to anything, they may take a random healing with a row of a row of red, or Fu Road plus a bunch of people, with the two drugs package is enough, do not consume all the basic blue baby in the act, such as a hammer to go back 67 to take into account re-bills, following the easy to frequent high-level rebellion, or go back and re-recruit a good point, in short time would be to group the words that a law to go with the baby, then it is difficult to kill one would have to go back to tonic, and secondly a lot of bored people will come to steal the baby, even if you win PK drug consumption is now unavoidable, so the best fighters mixed with the Road , but here a man, if more than more than 9 in this练级individuals, then you do not intend to add on, and find it somewhere else, the least strange is the lack of Babel, against the devil, and not off-limits练级is to blame the other side of the same difficulty, but the experience is not how high.

尤其是盘蛇道跟蛇环阵，就是迷宫这里刚来的别用随机，先耗个两天跑跑路全搞清，然后才用随机飞，蛇环阵也可以飞的，所以要带八捆随机主要是耗在盘蛇道，蛇环这怪爆多，白蛇也N多中间是五蛇殿，刷白蛇还有三头蛇王，不过这里包场清人也比较凶，一般练级的话还是别进了吧，白蛇杀多了总还是有回报的，如果是法师跟道士组的话，法最好过33级找好锤子练升一级然后跟道去什么都不要背，就带随机跟一排疗伤一排红，道的符还是一捆加身上，毒带两大包足够了，蓝基本不耗都宝宝在做事，等锤子六七级时考虑回去重招，级高之后容易频繁叛变，还是回去重招好点，总之想待长时间的话一定要组道，一个法跟宝宝去的话是很难的，一来杀会就得回去补药，二来很多无聊的人会来偷宝宝，就算你PK赢了耗药是免不了的吧，所以还是战士跟道最好混了，不过这里得看人，要是超过九个人以上在这练级的话，那么你再加入就没意思了，找别的地方吧，怪最不缺的就是通天，逆魔了，不去禁地练级，是为了那边的怪一样难，但经验却不见得怎么高。

New parameter estimation Markov recursive algorithm for continuous stochastic linear system and bilinear system is proposed.

基于小波变换的连续随机线性和双线性系统参数辨识Markov方法分析研究了连续维纳过程在小波变换下的统计特性，给出了维纳过程的离散小波变换系数所构成的离散随机过程的协方差矩阵计算和估计方法，基此提出了线性和双线性连续随机系统参数辨识的Markov估计方法及其递推算法。

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。

First, the stochastic dominance rules of the stochastic decision problems corresponding to the case with continuous decision variates and the case with partial information are studied, and an interactive procedure based on stochastic dominance rule is proposed for stochastic decision problems.

根据这类问题包含不确定性因素的特点，本文从随机资源分配问题的建模和求解一般随机优化模型的随机优势、随机规划方法两方面着手进行了研究，并研究了区域规划中的资源分配实例。

A stochastic model with initial stochastic conditions and stochastic coefficients for surge calculation was developed for the typical hydraulic system of a surge tank .

针对典型调压室水力系统，建立了具有随机初始条件和随机系数的涌波分析随机模型，从数学上严格证明了调压室涌波随机模型存在唯一的均方解，并进一步利用Liouville定理求解了其解过程的联合概率密度函数，最后给出了调压室涌波的均值解曲线

This paper summarizes the research job of predecessors, full text is divided in four part:The first part introduces the develop history and present conditions of MCRE;In the second part, the concept of average Markov process is introduced. Moreover we investigate the relations for Markov processes, martingales, stationary processes and average Markov process systematically.The third part summarizes the model that constructs the MCRE by p-m chains and skew product Markov chains by p-m chains, also we discuss the relations among the basic gunctions of the probability character for MCREIn the fourth part, we discuss the dimension of GW-tree and the canonical branching chain in random environment, furthermore we summarize the exact formulas of mathematical expectation and variance of branching chain in random environment.

本文主要是综述这方面前人工作，全文分成四个部分：第一部分介绍了MCRE的发展历史和研究现状；第二部分研究了马氏过程、鞅和平稳过程这三类经典的随机过程的相互关系，包括他们之间的包含和排斥关系，引入了&均马氏过程&的概念，研究了它与三类经典过程—马氏过程、鞅及平稳过程的关系；第三部分综述了用p-m链构造的构造的随机环境中的马氏链和绕积马氏链，讨论了与之相关的概率特性函数的性质；第四部分讨论了GW树的维数，并综述了随机环境中的典范的分枝链，讨论了随机环境中的分枝链的数学期望和方差的计算公式。

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。