Tipsy tottering, sunlight and the smell of coffee: it’s all random

[Editor’s note: This is reprinted from The Conversation, 18 Dec 2013. The original article is authored by Michael Rose and Jonathan Borwein.]

The warmth on your face, the scenic view outside — such delights are delivered to you by countless photons from the sun. But believe it or not, these photons move in much the same way as an inebriated person wandering home from the pub, or the initial whiff of coffee as you open a bag of beans.

Let me explain.

Travelling at the fastest speed known to physics, these photons crossed from the sun to the Earth in

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Yuri Milner to award $3M prizes to mathematicians

In July 2012, Russian billionaire Yuri Milner startled the world of physics by establishing the Fundamental Physics Prize, with awards of $3,000,000 each to nine physicists, including well-known cosmologists Alan Guth, Andrei Linde, Juan Maldacena and Edward Witten, among others. These physicists now constitute a committee to select future awardees. The 2013 awardee was Alexander Polyakov for his work in quantum field theory and string theory. In December 2013, the 2014 awardees were announced, which are John Schwarz of Caltech and Michael Green of Cambridge.

In 2013, Milner, in partnership with Google founder Sergey Brin, Facebook CEO Mark Zuckerberg and

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PISA international test scores show Australia, Canada, UK, USA lagging

 

The 2012 edition of the Programme for International Student Assessment (PISA) are in, and once Asia leads the way, with China, Singapore, Taiwan, Korea and Japan scoring very well, while many first-world nations, such as Australia, the U.K. and the U.S., lag behind.

 

In Canada, which placed 13th overall in mathematics, “alarm bells went off” as

[m]ath scores, the focus of 2012 PISA tests whose results have just been released, declined 14 points in nine years in Canada. And the country produced fewer students who were high achievers – 16 per cent were at Level 5 or

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Doron Zeilberger comments on experimental mathematics in AMS Notices

In the latest issue (December 2013) of the Notices of the American Society, noted mathematician Doron Zeilberger has published an Opinion piece on the state of pure mathematics, and then contrasts this with experimental mathematics. His article, entitled “[Contemporary Pure] Math Is Far Less Than the Sum of Its [Too Numerous] Parts,” is available here.

Doron Zeilberger is perhaps best known for his work with Herbert Wilf in developing the Wilf-Zeilberger method for computer-based proving of combinatorial identities, a problem that mathematician-computer scientist Donald Knuth once rated as “50” (meaning of the greatest difficulty) in his book The Art of

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