This is the personal website of Armin Straub.
Currently, I'm studying mathematics at Tulane University, New Orleans. My PhD advisor is Victor H. Moll, and my research area is an exciting mix of combinatorics, special functions and computer algebra.
This website is about to replace my old one.
Today, I have been playing a little bit with Apollonian circle packings. Here is the code I wrote in Mathematica to visualize such packings (see below for an example).
Recently, I have been doing experiments involving q-binomial coefficients in Mathematica. Starting with version 7, Mathematica is prepared for some q-business; in particular, there exists a function named QBinomial giving the q-analog of Binomial. However, this implementation turned out to not be fast enough for my needs. Here is an alternative approach which is not only way faster but provides a full factorization. read more »
The Tulane Mathematics Department as of April 27, 2009. Unfortunately but naturally, a few people are missing.
For suitable functions f the integral
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is equal to
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To see why this is true, start with the last integral and write the n-th power of the inner integral as a multiple integral over variables x1, …, xn. Then change order of integration and evaluate read more »
Der Mensch war Gottes Bild.
Weil dieses Bild verloren,
Wird Gott, ein Menschenbild,
In dieser Nacht geboren.
This article has been published in Advances in Applied Mathematics (Volume 41, Issue 2, August 2008, Pages 255-264) and is available at doi:10.1016/j.aam.2007.10.001.
Errata and addenda are contained in an additional document.