Due: Monday, April 11 at 9 PM Problem 1. An electronic toy displays a 4x4 grid of colored squares. At all times, four are red, four are green, four are blue, and four are yellow. For example, here is one possible configuration:
Problem 1. Sammy the Shark is a financial service provider who offers loans on the fol lowing terms. Sammy loans a client m dollars in the morning This puts the client m dollars in debt to Sammy. Each evening, Sammy first charges\service fee\, which increases the client's debt by f dollars, and then Sammy charges interest, which multiplies the debt by a factor
All the questions are from Plummer, Chapter 10, p.679-680, which was handed out in class 1)Question 10.3 2) Question 10.4 3)Question 10.5 4) Question 10.6
Notes for Recitation 14 Counting Rules Rule 1(Generalized Product Rule). Let be a set of length-k sequences. If there are: n1 possible first entries, n2 possible second entries for each first entry, n3 possible third entries for each combination of first and second entries, etc. then:
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
I. Plot resolution and depth of field as a function of exposure wavelength for a projection aligner with 100nm< A <500nm. Assume NA=0.26. Recalculate on the same plot for NA=0.41. Discuss the implication of these plots for the technologist that must manufacture transistors with 0.5 um
1.(Plummer 10.3)In a certain process, it is desired that the pitch of metal lines be equal to or less than 1.Omm(the pitch equals one metal linewidth plus one spacing between metal lines, measured at top of features). Assume that the metal linewidth and spacing are
