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Lec 11 MIT 6.451 Principles of Digital Communication II

PROFESSOR: So OK, what did we do last time? Thanks for coming back by the way. So last time, we did MDS codes. MDS codes, and we looked at this. And we derived some generic properties of these things if they existed. And then eventually, we moved to Reed-Solomon codes. And so indeed, they exist. We talked a little bit about existence altogether, the main conjection, MDS codes, I just wrote it down. And like I said, you want to be rich and famous, solve this. There's people doing geometry in math that would be deliriously happy if you solved it. So if for nothing else. So the last thing I wrote down last time was something about a matrix which somebody recognized as some Fourier transform matrix. And that's where I want to pick up here, at least quickly make that connection. So let me rewrite the definition of Reed-Solomon codes again. And so a Reed-Solomon code, the way we defined it last time was all field elements, we would evaluate the polynomial in all field e...

Energy levels and diagram for hydrogen

PROFESSOR: What did we have last time? We had a constant copper that reflected the energy so a unit free version of the energy, was greater than 0, because we were looking at bound states, so the energies were negative. And we found that this [INAUDIBLE] this quantized 1 over 2 copper was N plus l plus 1-- something that we call n. And n was the principal quantum number. So this is the principle quantum number n was the degree of a polynomial in the solution. And l was an important quantum number, because it gave you the amount of angular momentum the system had. And given that we think of it as principal quantum number coming first, once you have n and you fix it because the energy just depends on n-- Once you fix n, you'll have that l can go from 0 up to n minus 1, and those corresponds to the various values of capital N. But we don't have to focus on it up to n minus 1. And at the same time in terms of quantum numbers, m goes from minus l up to l. So the order ...

An Interview with Christopher Terman on Teaching Computation Structures

SARAH HANSEN: So how did you become interested in computation structures? CHRISTOPHER TERMAN: Well, in the early '70s I was a college student trying to earn my way through college. And so I was the computer operator on the third shift for the campus computer. That was in the era in which you could only afford one. And since watching the blinking lights was boring, I pulled out the schematics for the computer I was running for the university. And I started trying to figure out how the computer worked. Ever since then, it's been sort of a lifelong interest in figuring out, how do they actually put together these components to make a machine that can do computation? SARAH HANSEN: And that interest is coupled with your interest in teaching and learning, and especially online education. Could you talk a little bit about where that interest comes from? CHRISTOPHER TERMAN: Well, I was always fascinated and very motivated by the great teachers I could listen to. And so ev...

34. Introduction to Organic Chemistry (Intro to Solid-State Chemistry)

It's our last Friday. Did I hear an, "Oh?" Thank you for that one "oh." It's OK. I'll take what I can get. It's our last Friday, and so next week is our last week. We have class on Monday, and Wednesday will be the last class. And we've got one more smallish topic to cover after this, which is diffusion, and we'll wrap up on Wednesday. But today, I want to keep talking about polymers. So this is our polymer week. And I want to go back to the properties I've put here, the properties we've talked about. Right? So on Monday, we focused on what a polymer is, and we focused on the ways you make it. All right? The radical initiation, chain, addition, and the condensation polymers that you know, the condensation where you have two different mers. And then on Wednesday, we talked about things that matter, kind of like engineering polymers. Like what are the properties of the polymers that you can change, that we can change? All ...