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Widths and uncertainties

PROFESSOR: So we go back to the integral. We think of k. We'll write it as k naught plus k tilde. And then we have psi of x0 equal 1 over square root of 2pi e to the ik naught x-- that part goes out-- integral dk tilde phi of k naught plus k tilde e to the ik tilde x dk. OK. So we're doing this integral. And now we're focusing on the integration near k naught, where the contribution is large. So we write k as k naught plus a little fluctuation. dk will be dk tilde. Wherever you see a k, you must put k naught plus k tilde. And that's it. And why do we have to worry? Well, we basically have now this peak over here, k naught. And we're going to be integrating k tilde, which is the fluctuation, all over the width of this profile. So the relevant region of integration for k tilde is the range from delta k over 2 to minus delta k over 2. So maybe I'll make this picture a little bigger. Here is k naught. And here we're going to be going and integrate ...

Session 1 21F.223 Listening, Speaking, and Pronunciation

PROFESSOR: OK. We'll go through these together. Repeat after me. Civil. AUDIENCE: Civil. PROFESSOR: Civility. AUDIENCE: Civility. PROFESSOR: Civilized. AUDIENCE: Civilized. PROFESSOR: Civilization. . AUDIENCE: Civilization. PROFESSOR: Equal. AUDIENCE: Equal. PROFESSOR: Equality. AUDIENCE: Equality. PROFESSOR: Equalize. AUDIENCE: Equalize. PROFESSOR: Equalization. AUDIENCE: Equalization. PROFESSOR: Fertile. AUDIENCE: Fertile. PROFESSOR: Fertility. AUDIENCE: Fertility. PROFESSOR: Fertilize. AUDIENCE: Fertilize. PROFESSOR: Fertilization. AUDIENCE: Fertilization. PROFESSOR: Final. AUDIENCE: Final. PROFESSOR: Finality. AUDIENCE: Finality. PROFESSOR: Finalize. AUDIENCE: Finalize. PROFESSOR: Finalization. AUDIENCE: Finalization. PROFESSOR: General. AUDIENCE: General. PROFESSOR: Generality. AUDIENCE: Generality. PROFESSOR: Generalized. AUDIENCE: Generalized. PROFESSOR: Generalization. AUDIENCE: Generalization. PROFESSOR: Hospital. AUDIENCE: Hospital. PROFESSOR: Hospitality. A...

Lec 8 MIT 6.033 Computer System Engineering, Spring 2005

Let's go ahead and get started. OK, so today we have one topic to finish up very briefly from last time. So if you remember, when we finished off last time, we were talking about the example of a multithreaded Web server. So the example that we were talking about, and this is an example that I'm going to use throughout the lecture today consisted of a Web server with, this example consists of a Web server with three main modules or main components. So it consists, the three modules are a networking module, a Web server module -- -- which is in charge of generating, for example, HTML pages, and then a disk module which is in charge of reading data off a disk. OK, so this thing is going to be communicating with the disk, which I've drawn as a cylinder here. So what happens is that client requests come in to this Web server. They come in to the network module. The network module forwards those requests on to the Web server. The Web server is in charge of generati...

Lec 6 Special Topics in Supply Chain Management

PROFESSOR: Why don't we go ahead and get started. Thank you very much for making the trek and the logistics to get all the way across campus. And I'm pleased to see that most of us made it back here. And if people straggle in, we'll understand. So this afternoon, we're going to shift from a technology focus to now research groups that are concentrating on specific business problems to solve. And our first speaker is Dr. Elgar Fleisch, who is the head of the eyed labs at the University of St. Gallen and ETH in Zurich, Switzerland. And he's here to share about the flagship project for the auto-ID labs in the anti-counterfeit space. ELGAR FLEISCH: Thank you very much. So I hope you don't suffer the same jet lag as I do. And I have the best position in this day to talk about any counterfeiting. So this is really the flagship project. We have not only one flagship project. Soon others will pop up. But this is a project which goes across all the labs-- o...