Fixed -universe successor problem Goal: maintain a dynamic subset s of size n of the universe 0=10, 1,.,u-1 of size u subject to these operations INSERT(X∈U\\S): Add x to s DELETE(X E S): Remove x from S
Karnaugh maps It is a matrix of squares. each square represent a minterm or maxterm from a Boolean equaTion N-variable karnaugh map have 2 squares The binary numeral on the sides of k-map is the variable coordinates
1 Fundamentals of Control Theory N. Wiener: Control theory in engineering, whether it is Concerned with Man, animal or machine, can only be regarded as a part of the theory of information [(G) Controller
Review Overview of fields of robotics Concept of vector Space and linear transformation Ax = b linear system of equation mXn n m Column Space(range ), Null space Properties: A(ax+By)=aAX+ BAy Useful linear Transformation in 3-dimensional space
Consider a stick of length 1. Let XI and X2 be independent random variables denoting two points n the stick at which we break the stick into three pieces. We assume that X1 and X2 are uniformly distributed over the interval