\Picture Mom,dad, and the kids in an upper-middle-- Asian family in 100 years'time: After loading up with cash at the corner Citibank, they drive off to Walmart and fill the trunk of their Ford with the likes of Fritos and Snickers. On the way home, they stop at the American-owne Cineplex to catch the latest Disney movie, paying with their Visa card. In the evening, after putting the kids

Questions: what can -do or cannot-do of a von Neumann machine Good at Not so good at Fast arithmetic Interacting with noisy data or data from the environment Doing precisely what the Massive parallelism programmer programs them to do Fault tolerance

Birth-and-Death Queuing Systems 1. m parallel, identical servers. 2. Infinite queue capacity. 3. Whenever users are in system (in queue plus in service) arrivals are Poisson at rate of an per unit of time. 4. Whenever n users are in system, service completions are Poisson at rate of un per unit of time. 5. FCFS discipline

Diffusion: Read Plummer Chap. 7, sections 7.1-7.4,, 7.53, 7.5.8 Show that c(zt) Wroexpfzla)I,with a=2VDf, is a solution to Fick's second law of diffusion. ac(z, t) dc(zt) 2. a) What is the intrinsic carrier concentration in Si at 1100 C? b) Calculate the effective diffusivity (including first-order, charged-vacancy corrections)for As impurities in Si at 1100 C for two cases: 1)CAs=10 cm and ii)

As an example of one-quadrant converter a buck converter (also known as step-down converter)is presented in the picture below. The name of the step-down converter results from the arithmetic mean at the output side which is less than the arithmetic mean at the input

What is life? 人生是路,铺满鲜花,也布满荆棘。 人生是烛,照亮别人,却燃尽自己。 Life is a road, strewn with flowers and beset with brambles. Life is a candle, illuminating others and burning itself out. 生不带来,死不带去。 At birth, we bring nothing; at death we take away nothing

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. An undirected graph G has width w if the vertices can be arranged in a se- quence V1,2,3,…,Vn such that each vertex v; is joined by an edge to at most w preceding vertices. (Vertex vj precedes if i.) Use induction to prove that every graph with width at most w is (w+1)-colorable

Number Theory I Number theory is the study of the integers. Number theory is right at the core of math ematics; even Ug the Caveman surely had some grasp of the integers- at least the posi tive ones. In fact, the integers are so elementary that one might ask, What's to study?

Types of options A call is an option to buy A put is an option to sell A European option can be exercised only at the end of its life An American option can be exercised at any time