Articles

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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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    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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    Light's identity crisis

    What is light? Sometimes it seems wave-like and sometimes particle like. See how Einstein applied his theory of relativity to the problem, predicted that photons have no mass and laid the foundations for quantum mechanics.
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    What computers can't do

    Mike Yates looks at the life and work of wartime code-breaker Alan Turing. Find out what types of numbers we can't count and why there are limits on what can be achieved with Turing machines.

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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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    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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    Designing loudspeakers

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

    • The Dearing report
    • Network capacity problem
    • References
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    Mathematical mysteries: Kepler's conjecture

    Sir Walter Raleigh is perhaps best known for laying down his cloak in the mud for Queen Elizabeth I. But, he also started a mathematical quest which to this day remains unsolved.