查询词典 ergodic

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

Stochastic theory and other correlative theories are used to analyze IGA, and the immune extend population sequence formed by IGA is proved to be an aperiodic irreducible ergodic Markov chain.

同时在纯数学意义上拓展讨论，就IGA的一般收敛理论进行分析，证明了概率弱收敛、几乎处处弱收敛、渐进收敛等性质。

The paper proves that the search process of the non-crossover genetic algorithm is an ergodic homogeneous Markov Chain. The proof of global convergence of NCGA is presented is this paper. The upper bound of convergence speed of the NCGA is the same as the CGA. The possibly of retain the promising genes of NCGA is larger than CGA.

对于本人可以找到的32种典型的非线性优化测试函数，应用无交叉算子遗传算法，与基于经典遗传算法相比，在相同的进化代数的条件下，NCGA同样取得了略优的收敛速度，在相同CPU计算时间上NCGA也取得略优的结果； 3 提出了复合算子遗传算法。

Evoking the ergodic hypothesis, this gives the RTD of the solid phase.

提一个武断的假说，这就给出了固相的RTD值。

In chapter 5, we obtain the invariant measure and the ergodic property of recurrent right processes.

在第五章里，我们得到了常返右过程的不变测度的存在性、唯一性及其遍历性。

By means of the ergodic property of chaos movement, a chaos genetic algorithm is proposed.

摘要利用混沌运动的遍历性，提出了一种求解优化问题的混沌遗传算法(CGA，Chaos Genetic A1gorithm)。

The stochastic property, ergodic property and regular property of the chaotic generator are studied, and three types combination of chaos and evolution computation are investigated.

论述了进化计算的理论基础，建立了进化计算的统一模型；研究了混沌发生器的随机性、遍历性和规律性以及混沌与进化计算相结合的三种方式。

On the basis of analyzing the characteristic of the basic immune algorithm and utilizing the ergodic property of the chaotic sequence, an adaptive immune evolutionary algorithm combined with chaotic sequence is proposed and used at the training of the neural networks.

在分析基本免疫算法优化性能的基础上，利用混沌序列的遍历性，给出了一种嵌入混沌序列的自适应免疫进化算法，并将其应用于神经网络的训练中。

And [29] had proved the existence and uniqueness of an invariant measure and the ergodic property for one-dimentional recurrent diffusion processes.

文献[21]和文献[29]，证明了一维常返扩散过程存在唯一的不变测度。

In this paper,we propose an accelerating chaos genetic.In this paper,by the use of the ergodic property of chaos movement,an accelerated chaos optimization genetic algorithm is proposed.

文章在Bazaar协商模型下，给出了一种快速混沌遗传算法，该算法首先将混沌机制引入遗传算法，并在搜索中，以具有一定保证的当前最优解为中心不断压缩优化变量的搜索区间，对算法进行加速。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。