Random walks 1 Random walks a drunkard stumbles out of a bar staggers one step to the right, with a canal lies y steps to his right. Thi I equal p second, he either staggers one step to the left or probability. His home lies r steps to his left, and everal natural questions, including 1. What is the probability that the drunkard arrives safely at home instead of falling into the canal? 2. What is the expected duration of his journey however it ends? The drunkard's meandering path is called a random walk. Random walks are an im- portant subject, because they can model such a wide array of phenomena. For example

The expectation or expected value of a random variable is a single number that tells you a lot about the behavior of the variable. Roughly, the expectation is the average value, where each value is weighted according to the probability that it comes up. Formally, the expected value of a random variable r defined on a sample space s is: (B)=∑R()Pr(o) To appreciate its signficance, suppose S is the set of students in a class, and we select a student uniformly at random. Let r be the selected student's exam score. Then

1 Logic A proposition is a statement that is either true or false. Propositions can be joined by \and\, \or\, \not\, \implies\, or \if and only if\. For each of these connective, the defini- tion and notational shorthand are given in the table below. Here A and B denote arbitrary propositions

AutoCAD教案 1.1 AutoCAD简介 1.1.1什么是 AutoCAD cad(Computer Aided Design)的含义是指计算机辅助设计,是计算机技术的一个重 要的应用领域。 AutoCAD则是美国 Autodesk企业开发的一个交互式绘图软件,是用于二 维及三维设计、绘图的系统工具,用户可以使用它来创建、浏览、管理、打印、输出、共 享及准确复用富含信息的设计图形

CAD(computer aided design)是一种用计算机硬、软件系统辅助人们对产品或 工程进行设计的方法与技术,包括设计、绘图、工程分析与文档制作等设计活动, 它是一种新的设计方法,也是一门多学科综合应用的新技术。 传统CAD涉及以下一些基础技术:

1.1单片微机的发展 1.1.1单片微机的概念 单片微机是单片微型计算机SCMC(Single Chip Micro Computer)的译名简称,在国内也常简称为“单片微 机”或“单片机”。它包括中央处理器CPU、随机存储器rAM 、只读存储器ROM、中断系统、定时器/计数器、串行口和 IO等等

本文分析、讨论了自动化系统的防雷问题,着重阐述了水厂自动化控制系统的综合防雷措施。 关键词:水厂、自动化系统、防雷、瞬间过电压 概述随着计算机技术( Computer)、控制技术( Contro)、通讯技术( Communication)、显示技术(CR T)的发展和广泛应用,目前水厂的自动化控制普遍采用由工业计算机IPC或可编程控器PLC组成的集数据 采集、过程控制和信息传送于一体的监控网络

Plan for Today CAD Lecture(ca 50 min) CAD History, Background Some theory of geometrical representation SolidWorks Introduction(ca. 40 min) Follow along step-by-step Create CAD model of your part(ca. 90 min) Work in teams of two Use hand sketch as starting point

Chapter 6 Multimedia Networking Computer Networking: A Top Down Approach Featuring the Internet The power point slides are based on the materie 2nd edition provided by

Chapter 4 Network Layer Computer Networking: A Top Down Approach Featuring the Internet The PowerPoint Slides are based on the material 2nd edition. provided by Jim Kurose, Keith Ross