查询词典 problem of random walk

Topics include: sample spaces, axioms of probability, conditional probability and independence, discrete and continuous random variables, jointly distributed random variables, characteristics of random variables, law of large numbers and central limit theorem, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

概率论部分作为基础知识，是全部内容的重点之一，为读者提供必要的理论基础；数理统计部分，主要介绍常用的统计推断方法：参数估计、假设检验、方差分析、回归和相关分析等内容。

The results show that the theory of classical conjugate spaces is universally invalid for random normed modules, and furthermore, expose the fundamental importance of the theory of random conjugate spaces in the development of random normed modules.

该结果表明经典的共轭空间理论对随机赋范模是普遍失效的，进一步揭示了随机共轭空间理论对随机赋范模发展的突出重要性。

This represents a fundamental mathematical limit on the best possible lossless data compression of any communication: considering a certain message as a series of realisations of a certain random variable (where the random variable can be "the next letter", or "the next word", or any other subdivision of text), the shortest number of bits necessary to transmit one message is the Shannon entropy of the corresponding random variable, multiplied by the number of realisations in the original text.

当然如果各个队夺冠的几率不等的话，那么熵则不会是5。因为如果从强队开始问问题，则不需要5个问题一般就可以得到答案。而根据哈夫曼编码的启发，我们表示这32个队，不需要平均长度为5的二进制位。从另外一个角度来看，熵作为信息量的大小也是表达能力的衡量，或者是不确定度的衡量和混乱程度的表现。为什么选择log来表示熵呢？如果X的表达能力为H，Y的表达能力为H，那么X+Y的表达能力应该是二者的乘积，所以H = H + H。

CBFEC emphasizes direct correspondence of concepts in EC with its software architecture for ease of understanding and using; minimal coupling with specific problem structure for easy adaptation it to solve a large number of wholly different problems; interface-centered design for extendibility. To achieve those objects, the problem-solving method of EC is analyzed and the problem-solving procedure of EC is divided into three interactive aspects: population-based stochastic searching mechanism, problem specific information to implicitly guide the stochastic searching, and the observation and control of the computation procedure of EC. Then the key concepts of EC are identified in those three aspects; the normal implementations of those concepts are summarized; the interfaces represents those concepts in software are abstracted; the collaborations of components through those interfaces are designed. CBFEC is implemented on mainstream component software platform COM/DCOM (Component Object Model/Distributed COM from Microsoft), which includes interfaces definitions, commonly using EC components implemented those interfaces, such as Simply EA component, Steady State EA component, EA component, EA component, Population component, Tournament Selection component, Linear Ranking Selection component, Nonlinear Ranking Selection component, Random Number Generator component, etc, and the collaborations of those components through those interfaces.

具体的做法是把演化计算看作是基于组件的软件工程的一个应用领域：首先分析了演化计算求解问题的一般思路和方法，把演化计算问题求解过程分为："设计基于群体的随机搜索机制"、"研究问题的性质并以此隐含地定义算法的搜索方向"和"求解过程的观察与控制"三个部分；然后分别找出各个部分中的关键概念，总结这些概念现有的一般实现方法，抽取其本质，以此结合设计模式来定义组件软件的接口；通过分析演化计算各个概念之间的相互联系来设计组件软件间通过接口的进行交互的方式；最后还在目前一种主流组件软件开发平台COM／DCOM（微软提出的组件对象模型）的基础上实现了常用的演化计算组件，如简单演化算法组件、稳态演化算法组件、演化算法组件、演化算法组件、种群组件、锦标赛选择策略组件、线性排名选择策略组件、非线性排名选择策略组件、随机数发生器组件等等。

The dissertation investigates the multilane-to-uniline problem in order to solve the theory problem and technique problem of feeding high speed palletizer with several production lines. The harmony equation of the problem is established with the method of movement tracing according to the thought of unit accumulation and free bumping of materials from different lines. For the random of unit materials forming, a strategy of key assignment is put forward to avoid the bump of materials from different lines.

为了解决采用多条供料线向高速码垛机供料以充分利用高速码垛机的处理能力的理论问题和技术问题，本文从一般的角度研究了多线合一问题，根据料股缓冲的思想和无供料干涉的原则，利用运动追踪的方法建立了多线合一问题的协调方程，由此建立了结构参数之间的相互制约关系，为结构参数的制定提供了理论依据，在随机供料的情况下，由于各线料股的形成具有随机性，为了避免各线之间的干涉，本文提出了一种钥匙分配策略很好地解决了这一问题。

A general model of random walk in time-random environment in any denumerable space is established.

文章在可数状态空间中建立了时间随机环境下随机游动的一个广泛的模型。

The limits of random walk with resting state in random environment.

随机环境中可逗留随机游动的一些极限性质。

The necessary condition of an important result of the probability that the supremum of a random walk with heavy-tailed increments crosses a curve on a random time interval is presented by using an important property of a general distribution class.

利用一类常见分布族的一个重要性质，给出了增量带重尾分布的随机游动在随机时段内的上确界超越曲线边界的概率的一个重要结果的必要条件。

A novel hybrid algorithm, which combines predictor-corrector primal-dual interior point method and genetic algorithm, is presented for dynamic and static reactive optimization in this dissertation. The algorithm fully make use of the advantage of interior point method in solving successive optimization problem and the advantage of genetic algorithm in solving discrete optimization problem. The original problem is divided into three parts: total successive problem, discrete problem and successive problem.

结合内点法和遗传算法，本文提出了一种新颖的混合算法用于求解动、静态无功优化问题，算法充分利用了内点法易于求解连续优化问题和遗传算法易于求解离散优化问题的优势，将原优化问题分解为初步的连续优化问题、离散变量优化问题、连续变量优化问题这三个子问题分别求解。

After a further analysis based on the empirical results,a trial probe on the cognitiveprocessing mechanism of the problem representation of the word problem in two types of MLDwas made by the author.The MRD performed much poorer than the MLD only in the mostdifficult equation listing of word problem and the medium and most difficult problemrepresentation of word problem,which showed no difference in computation and comprehensionof simple meaning of the problem,but the gap between two types of MLD became wide as afunction of difficulty and cognitive loading.It indicated that the MLD only had some advantage over MRD for they used more cognitive skills to solve the problem.

基于以上实验的结果，对两类数学困难小学生的应用题问题表征的认知机制作如下推断：混合型数学困难学生仅在高难度水平的应用题列式成绩和中高难度水平应用题问题表征水平上比单纯型数学困难学生得分显著低下，表明两类数学困难小学生在计算能力与理解简单题意的能力上并无差异，但随着难度提高，认知负荷加重，两类数学困难学生在应用题解题上的差异得以突显，表明当需要运用更多的认知能力解决问题时，单纯型数学困难学生比混合型困难学生更具优势。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。