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Heads, Bayes wins!

If you've flipped heads 10 times what's the next flip most likely to be?  Bayes' theorem has the answer, not just for the coin, but for the pursuit of science generally.

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Myths of maths: The four colour theorem

It's one of mathematics' most famous results: every "map" can be coloured using at most four colours. What it doesn't usually apply to, however, are real maps.
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Inverse problems save the day

Inverse problems are mathematical detective problems. They can help solve crimes, are used in medical imaging, and much more.