Mapping Topics: Topological Maps SLAM HMMs Revisited Additional reading: B. J. Kuipers Y.-T. Byun. 1991. \A robot exploration and mapping strategy based on a semantic hierarchy of spatial rep rstations. jour. s and

问题已知随机变量X的密度函数fx(x) 或分布律 求随机因变量Yg()的密度函数 f(y或分布律

1.设给定实数集合X,若存在一对应法则∫,x∈X,彐唯一的实数 y∈R与之对应。则称∫是定义在X上的函数,记为:

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

Microelectronics Processing technology Fall Term 2003 Instructions for the microfluidics Lab report Your lab report should follow the format of the IEEE Electron Device Letters. The format from the IC and mEMs Lab reports will be used Contents: Your Letter should include the following sections y-line(Author, affiliation, and submission date)

光是什么? 光是一种电磁波,(在真空中的)可见光波长范围是700^400m;红外光为约700 到107nm量级;紫外光1-400nm;比紫外光短的还有X射线、y射线(<0.001nm)等;

一、是非题(10分) 1.刚体在3个力的作用下平衡,这3个力不一定在同一个平面内。() 2.用解析法求平面汇交力系的平衡问题时,所建立的坐标系x,y轴一定要相互垂直。()

一、填空题 1.社会经济现象间的关系分为两种类型:一种是另一种是 2.在相关关系中,当给定一个X值时,Y值不是唯一确定的,而可能同时出现几个不同的数值并在一定范围内围绕其上下波动。 3.按相关的程度可分为和

一、填空题 1.已知图示正方体边长为a,在右侧面作用已知力F,在顶面作用矩为M的已知力偶矩,如图所示。求力系对x,y,z轴的力矩

Problem Set 2 Prof. Gene Chang (For Ph. D students, due on Dec. 9th in the class or TA's office. For M.A. students, due on Dec. 12th, in the class or TA's office. Late turn-in may result in penalty in the grade) 1. The production set is={yy2):y2sy,-