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How do insects find their way home?

When insects go foraging, they zoom off from their nest in complex zig-zag paths. How do they manage to find their way back home? And how do they manage to do so along a straight path? These questions are explored in an exhibit at the Royal Society Summer Science Exhibition, currently taking place at the Southbank Centre in London.
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Shining a light on gold

People have been using gold particles dispersed in water — gold hydrosols — for medical purposes for over 1000 years. Recently, hydrosols containing gold nanoparticles have become particularly popular because they have exciting potential in cancer therapies, pregnancy tests and blood sugar monitoring.
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Martin Garner with his hands behind his head

Is the magic over?

The shadow of the late Martin Gardner looms large in Manchester this week as the workshop How to talk maths in public, organised by the Institute of Mathematics and its Applications, draws to a close. The question on everyone's mind is "who will fill the enormous hole left by his absence"?
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Pi

Pi day magic revealed

On March 14 2010 a mathematician and a magician teamed up to perform what they believed to be the world's largest live magic trick. The trick involved a thousand volunteers from the around the world who, using free choice, each came up with a number that was only known to themselves. And although the volunteer might be on the other side of the globe, the mathematician and the magician were able to read their mind and tell them which number they had chosen.

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Intriguing integrals

Intriguing integrals: Part I

What's the integral of xk? If you're up to speed with your calculus, you can probably rattle the answer off by heart. But can you prove it? Chris Sangwin introduces an ingenious method for deriving the integral from first principles.

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Intriguing integrals: Part II

Coming to think of it, is the standard formula for the integral of xk really the best one? Chris Sangwin makes an interesting case that it is not.
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Understanding uncertainty: Infinite monkey business

 

David Spiegelhalter explains that waiting for an infinite number of monkeys to produce the complete works of Shakespeare is not just a probabilistic certainty, it also gives us an insight into how long we can expect to wait for a rare event to happen.