What are heuristics The Origin and Analogy of Simulated Annealing The Simulated Annealing algorithm An Example: The Terrestrial Planet Finder Mission Sample results Ways to Tailor the simulated Algorithm Summary References O Massachusetts Institute of Technology- Dr. Cyrus D Jilla& Prof. Olivier de Weck ngineering Systems Division and Dept of Aeronautics Astronautics

Reading I The Weather Step-l Lead-in Questions 1, What is the impression of Englishmen on you? Deep, simple but narrow and conservative

computers. Passage D. To warn against mentally lazy attitude towards In what now seem like the prehistoric times of computers. computer history, the earth's postwar era, there was quite 22. According to the passage, the initial concern about

Restriction enzymes are extensively used in molecular biology. Below are the recognition sites of two of these enzymes, BamHI and Bcll. a)BamHI, cleaves after the first G: 5'GGATCC 3 3 CCTAGG5 Does cleavage by BamHI result in a 5' or 3 overhang? What is the sequence of this overhang?

Bob, a student taking 7.012, looks at a long-standing puddle outside his dorm window Curious as to what was growing in the cloudy water, he takes a sample to his TA, Brad Student. He wanted to know whether the organisms in the sample were prokaryotic or eukaryotic

Problem 1. The following two parts are not related. Try them, to make sure you un- derstand the jargon of random variables distributions, probability density functions, etc. Ask your TA if you don't understand/remember what some phrase means. (a)Suppose X1, X2, and X3 are three mutually independent random variables, each having the uniform distribution

Notes for Recitation 15 Problem 1. Learning to count takes practice! (a)In how many different ways can Blockbuster arrange 64 copies of 13 conversations about one thing, 96 copies of L'Auberge Espagnole and 1 copy of Matrix Revolutions on a shelf? What if they are to be arranged in 5 shelves?

Conditional Probability Suppose that we pick a random person in the world. Everyone has an equal chance of being selected. Let A be the event that the person is an MIT student, and let B be the event that the person lives in Cambridge. What are the probabilities of these events? Intuitively

It's really sort of amazing that people manage to communicate in the English language Here are some typical sentences: 1. You may have cake or you may have ice cream 2. If pigs can fly, then you can understand the Chernoff bound 3. If you can solve any problem we come up with then you get an a for the course. 4. Every American has a dream What precisely do these sentences mean? Can you have both cake and ice cream or must you choose just one desert? If the second sentence is true, then is the Chernoff bound incomprehensible? If you can solve some problems we come up with but not all, then do you get an a for the course? And can you still get an a even if you cant solve any of the problems? Does the last sentence imply that all Americans have the same dream or might

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)