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March 2010
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logarithm

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Those who understand compound interest are destined to collect it. Those who don't are doomed to pay it - or so says a well-known source of financial advice. But what is compound interest, and why is it so important? John H. Webb explains.

Tags: compound interest : present value : future value : rule of 70 : logarithm : Maclaurin series : geometric series


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In the late 1940s, American painter Jackson Pollock dripped paint from a can on to vast canvases rolled out across the floor of his barn. Richard P. Taylor explains that Pollock's patterns are really fractals - the fingerprint of Nature.

Tags: logarithm : mathematics and art : fractal : dimension : scaling : chaos : Levy flight


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The harmonic series is far less widely known than the arithmetic and geometric series. However, it is linked to a good deal of fascinating mathematics, some challenging Olympiad problems, several surprising applications, and even a famous unsolved problem. John Webb applies some divergent thinking, taking in the weather, traffic flow and card shuffling along the way.

Tags: logarithm : geometric series : convergence : arithmetic series : harmonic series : divergence


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Marcus du Sautoy begins a two part exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis. In the first part, we find out how the German mathematician Gauss, aged only 15, discovered the dice that Nature used to chose the primes.

Tags: prime number : Fibonacci number : logarithm : e : hilbert problems : Riemann hypothesis


Tags: logarithm : mathematics and art : fractal : dimension : von Koch curve


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You might think that if you collected together a list of naturally-occurring numbers, then as many of them would start with a 1 as with any other digit, but you'd be quite wrong. Jon Walthoe explains why Benford's Law says otherwise, and why tax inspectors are taking an interest.

Tags: statistics : logarithm : randomness : Benford's Law : distribution of digits : fraud detection : scale invariance : uniform distribution


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Modelling Olympic success

Tags: statistics : mathematical modelling : logarithm : statistical regression : mathematics in sport