英语释义

• positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions

片语

ergodic property[数] 遍历性；各态历经性质

ergodic part[数]

ergodic system遍历系统

ergodic theory[数] 遍历理论

ergodic method遍历算法

ergodic group[数]

ergodic class[数]

random ergodic[数]

ergodic decomposition[数]

Ergodic Principle各态历经假定

ergodic matrix遍历矩阵

英汉例句

• weakly ergodic is a new ergodic conception on compact system.

  弱遍历是在紧致系统上的一种新的遍历概念。

• in ergodic region the motion equation can be written in langevin equation and diffusion coefficient d can be obtained from fokker -planck model.

  在各态历经区，粒子的运动方程可以写成朗之万方程的形式，横向扩散系数d_-可以应用福克-普朗克模型得到。

• in a large range of energy the system is ergodic .

  我们系统可以在很大的能量范围内都是遍历状态的方案。

• for the ergodic control problem, a dynamical programming equation is established based on the stochastic dynamical programming principle and solved to yield the optimal control law.

  然后基于动态规划原理建立系统的动态规划方程，求解动态规划方程得到系统的最优控制策略。

• an ergodic recursive algorithm is suggested for the analyse of the reliability of distribution grid.

  提出一种分析配电网供电可靠性的遍历递归算法。

• generally, it is not easy to find the exact tail-estimation for the distribution of the minimum value in partial sum sequence of a stationary ergodic markov chain.

  一般情况下对平稳遍历马尔可夫链部分和序列最小值分布进行精确尾估计是较困难的。

• the distribution of inhomogeneous thermo-emf along the copper-iron thermoelectrode is described as a stationary ergodic random process.

  不均匀热电势沿铜铁合金热电极长度上的分布可描述为各态历经的平稳的随机过程。

• the authors discuss the existence of ergodic solutions of some integ.

  在遍历性的假设条件下讨论了一类积分方程遍历性解的存在性。

• in this paper, it is proved that the polar signal obtained from the symbolization of an ergodic random signal is stationary and that the autocorrelation function of the polar signal is ergodic.

  本文证明了各态历经的随机信号经符号化处理后，得到的极性信号是干稳的，极性相关函数是各态历经的。

• utilize the sensitivity and ergodic characteristic of the chaos map, a non-periodic and uniformity distributing multi-chart substitution is designed with multi-iterative equilibrium chaos map.

  利用混沌映射具有对初值的敏感性和遍历性等特点，采用多次迭代的一维均衡混沌映射构造了一种非周期、均匀分布的多表代换密码。

• ergodic theorems and the existence of invariant measures are two major topics in ergodic theory.

  遍历定理和不变测度的存在性是遍历理论中的二个基本研究主题。

• in this paper, we prove the ergodic theorem of a stationary set valued stochastic process by the representation theorem.

  本文作为平稳集值随机过程的表示定理的应用，证明了平稳集值随机过程的遍历性定理。

• in this paper, the completely ergodic markov chain with rewards is considered. a definition of reliability in probability form is given, based on the frequency form as used in engineering.

  本文对带有报酬的完全各态历经的马氏链，根据工程上使用的频率形式保证率的定义，给出它的概率形式的定义。

• capacity-related issues such as outage probability, outage capacity and antennas selection based ergodic capacity for das are studied and simulation results are presents and analyzed.

  研究了分布式天线系统中断概率和中断容量和基于遍历容量的天线选择问题，给出了仿真结果和进行了相应的分析。

• the digitally regenerated turbulent wind speed processes are ergodic and comply with the target cross_correlation functions.

  证明了采用本文方法模拟产生的脉动风场具有各态历经性，满足目标互相关函数；

• lindenstrauss, the icm citation says, 「has made far-reaching advances in ergodic theory,」 which studies the statistical behavior of dynamical systems.

  国际数学联盟在颁奖辞中称lindenstrauss在遍历理论方面取得了意义深远的进展，遍历理论是用于研究动力系统统计行为的数学分支。

• the relations between spectrum densities of system output responses and frequency were obtained by assuming input functions to be ergodic and stable stochastic processes.

  假设输入函数为各态历经的平稳随机过程，得出各输出响应的谱密度与频率的关系。

• finally, we obtain some results of the convergence rates of ergodic limits and approximation for k-regularized resolvent families.

  我们也证明了k-正则预解算子族的遍历极限的收敛率和逼近的一些结果。

• put forward a planner permutation network by using the ergodic and good relativity of chebyshev-map chaos sequence, and the time complexity and analyzed permutation character of permutation network.

  利用混沌序列的遍历性及其良好的相关特性，提出了一种二维置换网络，并对置换网络的时间复杂度和其置换性质做了分析。

• roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.

  今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。

• in this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system.

  本文给出紧致系统上弱遍历自同胚的特征值与特征函数的结构性态。

• and at high snr, the upper and lower bounds on the ergodic capacity are close to its true value.

  接收信噪比较大时，平均信道容量上下限基本接近其实际值。

• finally, all the results in the uniformly ergodic case can be generalized to reversible markov processes satisfying the uniform integrability condition.

  最后，对于可逆马氏过程，在一致可积条件下，所有一致遍历马氏过程情形的结果都可很满意地推广到此情形。