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:

1 Bipartite Graphs Graphs that are 2-colorable are important enough to merit a special name; they are called bipartite graphs. Suppose that G is bipartite. Then we can color every vertex in G ei ther black or white so that adjacent vertices get different colors. Then we can put all the

What Is the Question of the Chapter? Suppose we observe a collection of a consumer's choices, can we discover his/her preference? Is this possible at all?fso, under what conditions is this possible? (This is the reverse question of finding the optimal choice)

1 The Number-Picking Game Here is a game that you and I could play that reveals a strange property of expectation. 3, First, you think of a probability density function on the natural numbers. Your distri- bution can be absolutely anything you like. For example, you might choose a uniform distribution on 1, 2, ... 6, like the outcome of a fair die roll. Or you might choose a bi- probability, provided that,...,n. You can even give every natural number a non-zero nomial distribution on 0, 1 he sum of all probabilities is 1

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

Medical Genetics Genetic diseases and congenital malformations occur in approximately 2 to 5 of all live births, account for up to 30% of paediatric admissions to hospital, and are an important cause of death under the age of 15 years

Heat Treatments bLanching- Heat to deactivate enzymes Pasteurization Heat to kill pathogenic bacteria Sterilization heat to kill all bacteria and other organisms

Bridge Ratings Research Established 2002 Measures Radio Listening Behavior All Sized Markets Telephone Methodology Quantitative Qualitative Projecting Future Behavior (Audience

Chapter 7 Energy Generation in Mitochondria and Chloroplasts (1)Mitochondria: in all eukaryotic cells The relationship between the structure and function of mit. ()Chloroplasts: in plant cells The relationship between the structure and function of chI. Mit: Oxidative phosphorylation→atp hl: Photosynthesis→atp+ NADPH→ Sugar

Civil rights all rights rooted in the Fourteenth Amendments guarantee of equal protection under the law what the government must do to ensure equal protection what the government must do to ensure freedom from discrimination