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Experimental mathematics and computational statistics

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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.

Figure 1.

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

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Figure 2.

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

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Figure 3.

Dynamics and attractors of two different cases.

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Figure 4.

A cardioid revealed.

[ Normal View 30K | Magnified View 41K ]
Figure 5.

The subtle fourfold serpent.

[ Normal View 26K | Magnified View 35K ]

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