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Tamar Ziegler and I have just uploaded to the arXiv our joint paper “A multi-dimensional Szemerédi theorem for the primes via a correspondence principle“. This paper is related to an earlier result of Ben Green and mine in which we established that the primes contain arbitrarily long arithmetic progressions. Actually, in that paper we proved […]
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From Paul Dirac, 1938: Pure mathematics and physics are becoming ever more closely connected, though their methods remain different. One may describe the situation by saying that the mathematician plays a game in which he himself invents the rules while…Read more ›
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Filed under: Kids, pictures Tagged: Godthab, Sceaux, time
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In the realm of mathematical puzzles and thought experiments one can find a stock pile of paradoxes. The Mariam-Webster Dictionary defines a paradox as “an argument that apparently derives self-contradictory conclusions by valid deduction from acceptable premises.” One short example … Continue reading →
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Alberto Cairo tells a fascinating story about John Snow, H. W. Acland, and the Mythmaking Problem: Every human community—nations, ethnic and cultural groups, professional guilds—inevitably raises a few of its members to the status of heroes and weaves myths around them. . . . The visual display of information is no stranger to heroes and [...]The post Against the myth of the heroic visualization appeared first on Statistical Modeling, Causal Inference, and Social Science.
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Phil Plait writes: Earth May Have Been Hit by a Cosmic Blast 1200 Years Ago . . . this is nothing to panic about. If it happened at all, it was a long time ago, and unlikely to happen again for hundreds of thousands of years. This left me confused. If it really did happen [...]The post When’s that next gamma-ray blast gonna come, already? appeared first on Statistical Modeling, Causal Inference, and Social Science.
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A Quora answer about how businesses respond to anti-marketing campaigns has some lessons for faculty who are facing student pushback against non-lecture instructional methods.
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Next week, we are having a special Bayesian [top] model choice week in Dauphine, thanks to the simultaneous visits of Ed George (Wharton), Feng Liang (University of Illinois at Urbana-Champaign), and Veronika Rockovà (Erasmus University). To start the week and get to know the local actors (!), Ed and Feng both give a talk on […]
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A rather dull puzzle this week: Show that, for any integer y, (√3-1)2y+(√3-1)2y is an integer multiple of a power of two. I just have to apply Newton’s binomial theorem to obtain the result. What’s the point?! Filed under: Books, Kids, R Tagged: Binomial theorem, Isaac Newton, Le Monde, mathematical puzzle
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This is a guest post by Rachel Law, a conceptual artist, designer and programmer living in Brooklyn, New York. She recently graduated from Parsons MFA Design&Technology. Her practice is centered around social myths and how technology facilitates the creation of new communities. Currently she is writing a book with McKenzie Wark called W.A.N.T, about new ways of […]
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Here’s a little example of using Hadley Wickham’s testthat package for unit testing R code. You can read more about testthat here. The function below computes the real roots of a quadratic. All that really matters for our purposes is…Read more ›