Aryana Libris - Tag - ProbabilityRecension d'ouvrages au format numérique PDF2021-09-23T19:06:25+01:00urn:md5:a0ee72454095f037bdb86f20b0b6b82bDotclearNahin Paul J. - Duelling Idiots and Other Probability Puzzlersurn:md5:f8320e1b1bf6861ce5e0009cbbb6aab92012-06-08T14:31:00+01:002014-05-29T22:30:20+01:00Balder ExLibrisNahin Paul J.Probability <p><img src="https://aryanalibris.com/public/img/.Nahin_Paul_J_-_Duelling_Idiots_and_Other_Probability_Puzzlers_s.jpg" alt="" /><br />
Author : <strong>Nahin Paul J.</strong><br />
Title : <strong>Duelling Idiots and Other Probability Puzzlers</strong><br />
Year : 2000<br />
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Link download : <a href="https://aryanalibris.com/public/ebook/Nahin_Paul_J_-_Duelling_Idiots_and_Other_Probability_Puzzlers.zip">Nahin_Paul_J_-_Duelling_Idiots_and_Other_Probability_Puzzlers.zip</a><br />
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ln 1965, after spending nearly three years as a designer of digital machines in the Systems Division of Beckman Instruments, Inc., in Fullerton, California, my employment suddenly ceased. The sad reason for this was euphemistically called by upper management a "change of business opportunities." That is, the digital machinery product line was immediately terminated for a lack of any new customers and I was, at the age of twenty-five, looking for a new job. Fortunately for me, Hughes Aircraft Company had its Ground Systems Group (the division that made groundand ship-based radars) in the same town, and its management was hiring young electrical engineers. So in December 1965, I became a member of the technical staff at Hughes-where I quickly learned that Boolean algebra and sequential switching theory, which had held me in good stead as a digital systems designer at Beckman, simply wasn't going to be enough for long-term survival as a radar systems analyst at Hughes. I needed to learn sorne more math. I needed to learn probability theory, and I needed to learn it fast. As astonishing as it is now to look back on those days, in 1962 I had graduated from Stanford University-one of the world's great schools-with a B.S. degree in electrical engineering without having taken a single course in probability theory. lt wasn't that I was lazy, as no one in my class of electrical engineers (EEs) took such a course. lt simply wasn't required, and my advisor had never brought it up, even as a suggestion, because everybody thought of probability theory as graduate-level course work. And when, in 1963, I graduated with my master's degree from Caltech, which most people consider to be a veritable hothouse of techno-nerds, it had been neither required nor suggested that a first-year graduate student in electrical engineering study probability. lt was only when I started my doctoral studies in electrical engineering at the lrvine campus of the University of Califomia as a Howard Hughes Staff Doctoral Fellow in 1968 that I took a formai probability course in a degree program. But by then I had been at Hughes for nearly three years and had already started such studies myself, for the most practical of reasons: in order to keep my job. Actually, even while still at Beckman, I had been exposed to a famous probability question, although I hadn't recognized it as such at the time. lt was a twice-a-day routine for groups of the engineering staff to take what was jokingly called a "roach-coach" break. That is, several of us {let's say N people) would, moming and aftemoon, take ten minutes to walk out to the parking lot and buy donuts and coffee from the visiting lunch van. Rather than each of us individually paying for our own purchases, however, we played a game called "odd-man-out": each of us would simultaneously flip a coin and then show all the others what we had gotten. If it tumed out that everybody but one had the same result (N- 1 heads and one tail, or N- 1 tails and one head) then the "odd" person paid for everyone. Otherwise we all flipped again, and so on until we got an odd man out. There are several interesting questions about this game, but one of immediate practical interest concerns how long it will take, as a function of N, to get an odd man out. That is, how many flipping attempts (on average) will it take to reach a decision on who pays? And what if one of the coins is biased? You will see in Problem 9 that it is actually quite easy to calculate the answers once we have established sorne fondamental theoretical results. I played "odd-man-out" from 1963 to 1965, all through my stay at Beckman (Hughes was a much more formai place, and I never saw anybody play for donuts and coffee during my six years there), but it never even occurred to me that such questions had answers. And if it had I wouldn't have known how to find them. Today, of course, such an admission would be considered tragic. I presently teach sophomore electrical engineering students at the University of New Hampshire the same material that is in this book, which I didn't see until years after getting a Caltech master's degree. So educational times have changed for the better. <strong>...</strong></p>Nahin Paul J. - Digital Diceurn:md5:33ec53f630fb114adf773f4a18de71012012-06-08T14:27:00+01:002014-05-29T22:30:15+01:00Balder ExLibrisNahin Paul J.Probability <p><img src="https://aryanalibris.com/public/img/.Nahin_Paul_J_-_Digital_Dice_s.jpg" alt="" /><br />
Author : <strong>Nahin Paul J.</strong><br />
Title : <strong>Digital Dice Computational Solutions to Practical Probability Problems</strong><br />
Year : 2008<br />
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Comments on Probability and Monte Carlo. An asteroid or comet impact is the only natural disaster that can wipe out human society—A large impact is an improbable event that is absolutely guaranteed to occur. Over the span of geological time, very large impacts have happened countless times, and will occur countless more times in ages to come. Yet in any given year, or in one person's lifetime, the chance of a large impact is vanishingly small. The same, it should be noted, was also true when the dinosaurs ruled Earth. Then, on one ordinary day, probability arrived in the form of a comet, and their world ended. —Curt Pebbles, Asteroids: A History (Smithsonian Institution Press 2000), illustrating how even extremely-low-probability events become virtually certain events if one just waits long enough Monte Carlo is the unsophisticated mathematician's friend. It doesn't take any mathematical training to understand and use it. —MIT Professor Billy E. Goetz, writing with perhaps just a bit too much enthusiasm in Management Technology (January 1960. The truth is that random events can make or break us. It is more comforting to believe in the power of hard work and merit than to think probability reigns not only in the casino but in daily life. —Richard Friedman, M.D., writing in the New York Times (April 26, 2005) on mathematics in medicine Analytical results may be hard to come by for these cases; however, they can all be handled easily by simulation. —Alan Levine, writing in Mathematics Magazine in 1986 about a class of probability problems (see Problem 13 in this book) The only relevant difference between the elementary arithmetic on which the Court relies and the elementary probability theory of the case in hand is that calculation in the latter can't be done on one's fingers. —Supreme Court Justice John Harlan, in a 1971 opinion Whitcomh v. Chevis. <strong>...</strong></p>