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  1. The Art of Error Correcting Coding (Second Edition)
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This book offers a complete information-theoretic framework to quantify distributed computation in complex systems operations on information, particularly their dynamics in space and time. Includes applications to random Boolean networks and more.

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This book offers a complete information-theoretic framework to quantify distributed computation in This book explores a range of topics in Semantic Systems, from underlying universal principles to representation and processing aspects to paradigmatic examples. Discusses semantic aspects of information, such as meaning, sense, reference and function. This book explores a range of topics in Semantic Systems, from underlying universal principles to Space Division Multiple Access SDMA is one of the most promising methods in solving the capacity problem of wireless communication systems.

Among them, the discovery of chaos in deterministic systems is unarguably one of the most revolutionary scientific findings. We are now able to explain the apparent Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms.

This combined So this is, you have to sometime do some changes to basically make the program work like this. So in here, what you can do is, in the program you can associate some kind of a rank, and when you put in account, you put the rank to the account number. So you have some kind of ordering in here. Then what you have is, you always get the first, highest rank one before you go the next one. So there's some ordering in here. So at least then we'll be at least forced into some ordering in here. Because most of the time that means you have to know all the possible control profile, to do that.

And, for example, there are some tools that can -- because you might know that, for example, assume you are trying to enforce some ordering of locks. But it's not the software, it's the locking software, that doesn't know about those. You can actually write a locking software that will tell you, like look, you are trying to acquire locking out of order, out of this locking order.

Most of the time you might be OK because it might not hit, but [? So you can put some dynamic checks that might warn you that you might be in a situation, but it doesn't guarantee you. So deadlock is something, you have to basically -- there's no nice tools for. Basically, it's almost a software [? So one good convention is this, basically some order in here.

So, another interesting thing and hard thing is race conditions. These are non-deterministic timing dependent, and cause data corruption, crashes that are impossible to detect. So the problem with race conditions is the minute you put your debug, or put any debugging things, race conditions goes away. It happens again because it's basically an independent thing. In fact, I have this interesting experience with myself. A long time ago I was working at Microsoft and I worked two summers. In one summer I was working on their LAN manager and network manager, and there's a bug that after you run the network manager for some time it just freezes.

That's not a nice behavior to have if you are running your network. That bug lasted the entire year. Because the minute you do any instrumentation, the [? Once in a while voila. It freezes.

The Art of Error Correcting Coding (Second Edition)

And you have no idea why it happened. That was so hard to debug because there's nothing you could do, because any time you do any changes, the bug goes away. You had to be very careful because these things are not easy to find, and happen intermittently. And very hard to debug. So having good discipline and good design really helps to get rid of it. If you read that cycle, it's a very slow cycle. The best way to do that is get the design right first.

So what's a data race?

Block error-correcting codes: A computational primer | Sebastian Xambo-Descamps | download

So I assume I had this program like that. So I read [? This doesn't have to be in two statements. So it might just look hits equals hits plus 1 and hits equals hits plus 1 on the cycle. Doesn't have to [? Because the compiler puts a [? And if you execute like this you're happy. But if you get excluded in this order, I don't get at it two times, I only get it because I read hit the order given values. This adds once and writes. And this also adds one to [? So I only get it increased by one and you are in a bad situation.

The problems with data races is this non-determinism. So if you have same data access, make sure that they are in the mutual exclude region. You can basically see that it has access to old objects. Before you go there, one interesting thing is this is just a problem with all parallel programs.

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So at the beginning you say OK, I'm going to have this nice mutual excluded, lock ordered program. You write this.

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It worked correctly, beautifully, but run dog slow because now we are huge critical sections. Everybody's waiting in data and then someone says I want to run fast. I think I don't need this lock. It doesn't seem to be, so keep removing locks, making critical sections smaller and stuff like that.

Error Correcting Codes 2c: Linear Codes - Parity-Check Matrix

That's where all the problems start cropping up, because all this nice design goes to the dogs when you have performance issues. So when you realize that, you want to write this nice program, nice large critical sections, stuff like that. The programs will work correctly. But run like a dog because now it's sequential in many cases because you are doing this. Then you go and say OK, I want to run parallel.

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Eh, this is OK. That's when problems start creeping up. So make sure that when you get a discipline, as you can go into the performance improvement but you still maintain at least some part of discipline.

That's the hard thing. So I want to switch gears a little bit to talk about a classic problem. It's called dining philosophers problem. So, there are five philosophers sitting around a table. Between each of the philosophers there's a chopstick. So each philosopher do two things. He thinks -- he or she thinks or he or she eats. So the philosopher thinks for a while. And then the philosopher is hungry. She stops thinking and she picks up a left and right chopstick, eats, and puts the chopsticks down.

He cannot eat until they have both chopsticks right in hand because you can't eat with one chopstick. So you have to wait until you get both chopsticks. When you are done, you put the chopsticks down. Then after you're done, you go back to thinking again for a while and come back to eating. That's the classic problem. So how to write that, record that? Then what you do is you create a number of philosophers and you get a new chopstick and start to the left and you go to the other philosophers assigning left and right chopsticks in here, and then you start the philosophers going. So you just set up a chopstick [?

So I am here, I'm taking my left chopstick, I'm taking my right chopstick and I'm going to eat and I'm done eating and I'm putting down there. What will happen in this one? There's no right chopstick and nobody has right chopstick and everybody waiting for somebody to drop the chopstick, that's not going to happen. So you have a problem.

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Second way to solve that is this, and you say OK. The problem is everybody trying to pick up this chopstick. I will put unique variable table, unique object table.

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