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In this paper,results of Markov chain are used under the circumstances of the automaton model which belongs to logical level of Discrete Event System to analyze the steady states and transient states of the Markov model of DES,respectively based on four conditions of discrete-time parameter and continuous-time parameter.A simpler decision rule of system ergodic property which applies both to the conditions of discrete-time parameter and continuous-time parameter is presented through an example.The transient states of DES which under the condition of continuous-time parameter are analyzed and computed based on Kolmogorov backward equation or forward equation.

利用马尔科夫链的结果,在离散事件系统逻辑层次的自动机模型基础上,对DES的Markov模型的稳态和暂态特性,分别从时间参数连续和离散的情况下,分四个情况进行了分析,通过实例对系统遍历性提出了一条更简单的且在连续和离散时间参数情况下都通用的判定规则,并利用Kolmogorov向后或向前方程,对连续时间参数DES的暂态特性进行了分析和计算。

In the dissertation, we consider ergodic theory and its applications of discrete-time Markov chains and continuous- time Markov processes.

本学位论文研究了离散时间马氏链和连续时间马氏过程的遍历性的理论及其应用。

The definitions of strongly ergodicity that "starting time" is any point are introduced.

李应求,晏小兵,汪和松(2003)引入了初始时间在任意点的一致弱遍历的概念,并且给出了链是一致弱遍历的一些条件。

In the third chapter,we study the rate of convergence of nonhomogeneous Markov chains and the absolute average strong ergodic.

第三章研究一类非齐次马氏链的收敛速度及绝对平均强遍历性。

With a suitable performance function and an initial control that made the closed system bounded, a serial of controls that made the performances better could be obtained by policy iteration, and ergodic Markov chains were constructed by the state serial with the corresponding feedback control.

在合适的性能指标并能找到一个使系统性能有界的控制的前提下,通过策略迭代可以求出逐步改善系统性能的控制序列,同时得到状态序列在相应反馈控制作用下构成遍历的马尔可夫链。

This operator will walk the list of elements in the Queue and print the value in each element. We'll print the elements inside a pair of brackets.

这个操作符将遍历 Queue 中的元素链表并输出每个元素的值,将在一对尖括号内输出元素。

Markov chain: discret-time Markov chains, classification of states, ergodic, stationary distribution.

马尔可夫链:离散时间的马尔可夫链,状态的分类,遍历性,平稳分布。

Our results show that the rate of correlation among the random variables of those output sequences are low although they are not independent; in addition, the output sequences of those combined generators are homogeneous Markov chains which are strictly stationary processes with ergodicity; the output sequences of those combined generators are also proved to summit to the strong law of large numbers and the central limit theorem; finally the computation formula of the rate of the accordance between the output sequences and input sequences of those combined generators is given.

我们的研究结论表明:虽然这些序列中随机变量之间不具有相互独立性,但它们的相关程度却比较低;证明了"停走"生成器,KM_1M_2型组合生成器和加法型组合生成器的概率模型输出序列都是强平稳的和遍历的齐次马氏链;讨论了这些序列的概率极限性质,证明了它们均服从强大数定律和中心极限定理;还分别给出了各类生成器的输出序列与输入序列之间的符合率的计算公式。

Two states of Markov chains are discussed using state transition matrix in this paper.

本文利用状态转移矩阵,对两个状态的马氏链进行讨论,推出n步转移矩阵、遍历状态及任一时刻马氏链的概率法则,并应用到具体问题讨论它的实际意义。

Firstly,based on the B.Bowermans result about the rate of convergence in Cesaro sense of certain nonhomogeneous Markov chains which the transition matrices converge,we are to study a certain nonhomogenous Markov chains which the transition matrices average converge to a period strongly ergodic stochastic matrice,and control the average convergenc rate of transition matrices,then we get the rate of convergence in Cesaro sense about the nonhomogeneous Markov chains by used the character of norm and the character of nonhomogeneous Markov chains.It is an extension of a B.

首先在B.Bowerman等人研究转移矩阵列收敛的一类非齐次马氏链,其Cesaro平均收敛的收敛速度基础上,研究转移矩阵列平均收敛到一周期强遍历随机矩阵的一类非齐次马氏链,通过控制转移矩阵列平均收敛的收敛速度,利用矩阵范数的性质、非齐次马氏链的相关性质等,得到该非齐次马氏链转移矩阵Cesaro平均收敛的收敛速度,是B。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。