Marcus du Sautoy has tweeted about a mathematics and music project he’s involved in, called The Sound of Proof. Five classical proofs from Euclid’s Elements have been interpreted by composer Jamie Perera into musical pieces, and they’ve put together an app/game to see if you can work out which one corresponds to which.
They’ll be announcing the results at an event as part of Manchester Science Festival in October. The project is a collaboration with PRiSM, the research arm of the Royal Northern College of Music in Manchester.
The Sound of Proof, at RNCM PRiSM
The London Mathematical Society Popular Lectures present exciting topics in mathematics and its applications to a wide audience. The 2017 Popular Lectures were Adventures in the 7th Dimension (Dr Jason Lotay, University College London) and The Unreasonable Effectiveness of Physics in Maths (Professor David Tong, University of Cambridge).
The Lectures are now available on the LMS’s YouTube channel, along with many of the previous years’ videos.
Quanta Magazine reports progress on what its headline calls the “Infinite Pool-Table Problem”. The problem is explained in the article as follows:
Strike a billiard ball on a frictionless table with no pockets so that it never stops bouncing off the table walls. If you returned years later, what would you find? Would the ball have settled into some repeating orbit, like a planet circling the sun, or would it be continually tracing new paths in a ceaseless exploration of its felt-covered plane?
The article describes progress on the problem via study of ‘optimal’ billiard tables, “shapes whose particular angles make it possible to understand every billiard path that could occur within them”.
New Shapes Solve Infinite Pool-Table Problem, Quanta Magazine.
via @ColintheMathmo on Twitter.
The Clay Mathematics Institute, home of the Clay Millennium Maths Prizes, has announced the sad death of its founder, Landon Clay. “Driven by a deep appreciation of the beauty and importance of mathematical ideas”, Clay donated generously to many organisations and projects, including the Institute which he founded in 1998.
Statement on the CMI website, including an addendum from Andrew Wiles
You may have heard of the replicability crisis in science, and practices like outcome switching and p-hacking. BuzzFeed reports on a paper that proposes a solution: rather than assign statistical significance at $p=0.05$, change this value to $0.005$.
Sir David Spiegelhalter is quoted saying: “Dealing with the size of the p-value fixes some things. But it’s not dealing with the most important issues.” There’s a lot more in the BuzzFeed article and the full paper.
PsyArXiv preprint: Redefine statistical significance.
BuzzFeed: These People Are Trying To Fix A Huge Problem In Science.