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Experimental mathematics and computational statistics

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Abstract The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article, we explore connections between statistics and the emerging field of ‘experimental mathematics’. These include both applications of experimental mathematics in statistics as well as statistical methods applied to computational mathematics. Copyright © 2009 John Wiley & Sons, Inc. This article is categorized under: Applications of Computational Statistics > Computational Mathematics

Plot of log10min|xi| as a function of PSLQ iteration number.

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The subtle fourfold serpent.

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A cardioid revealed.

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Dynamics and attractors of two different cases.

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The first few thousand iterates of 37 plotted in the complex plane.

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