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Quantum uncertainty

Quantum mechanics is the physics of the extremely small. With something so far outside our everyday experience it's not surprising to find mathematics at the heart of it all. But at the quantum scale nothing in life is certain... Peter Landshoff explains.
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Mathematical mysteries: Goldbach revisited

Since we first wrote about the Goldbach Conjecture we've had many requests for more information about  it and about how our Goldbach calculator works. We answer some of your questions here but the Goldbach conjecture touches on a strange area of maths that may leave you even more curious than before...

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Image analysis - a modern application of mathematics

New technology has provided us with some amazing images - satellite images, medical images, even images beamed back from Mars. Julian Stander tells us about the increasing role of statistics in interpreting them.
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turbulence

Designing loudspeakers

In his second article, David Henwood explains the role of mathematics in the design of Hi-Fi loudspeakers.

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Natural frequencies and music

In the first of two articles, David Henwood discusses the vibrations that can be harnessed by musical instrument makers.
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What a coincidence!

Coincidences are familiar to us all but what are the so-called laws of chance? From coin tossing to freak weather events, Geoffrey Grimmett explains how probability is at the heart of it all.
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Line drawing of Helen of Troy

Dynamic programming: an introduction

The previous feature, "Mathematics, marriage and finding somewhere to eat" investigated the problem of finding the best potential partner from a fixed number of potential partners using a technique known as "optimal stopping". Inevitably, mathematicians and mathematical psychologists have constructed other models of the problem...

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Decoding a war time diary

An account of how a prisoner of war's diary was recently decoded. Donald Hill wrote his diary in a numerical code, disguised as a set of mathematical tables, while in Hong Kong during and after the Japanese invasion of 1941.