MATH related links

p=2^q-1 prime <== q>2, cosh(2^(q-2)*log(2+sqrt(3)))%p=0

Web services

Analyse your favorite integer sequence with The On-Line Encyclopedia of Integer Sequences
Reverse engineer your favorite floating point number with the Inverse Symbolic Calculator
The "World of Mathematics" by Eric W. Weisstein
Index of Mathematicians
math papers: xxx.lanl.gov, ArXiv and CiteSeer

personal pages

D.J.Bernstein
Richard Brent
Steven S. Skiena (The Stony Brook Algorithm Repository)
John Baez
Bruce C. Berndt
Frank Garvan
Paul Zimmermann
Henri Cohen
Doron Zeilberger
Donald E. Knuth Professor Emeritus of The Art of Computer Programming
Steven Finch
Wolfram Koepf
Harry J. Smith

My diploma thesis

My diploma thesis (in physics) is titled 'Analysis of Spatio-Temporal Structures from Computer Simulations of Reaction-Diffusion Systems'.
The files dipl00?.ps.gz contain my diploma thesis in (gzip-ed) postscript format. You may find the part on 'Methods of Time Series Analysis' (in dipl001.ps.gz) interesting, the rest is a bit specialized.

First read dipl.txt .
Titlepage: dipl000.ps.gz .
Table of contents + intro of the systems examined + Methods of Time Series Analysis: dipl001.ps.gz .
Results part one: dipl002.ps.gz .
Results part two: dipl003.ps.gz .
Summary: dipl004.ps.gz .
Appendices etc.: dipl005.ps.gz .

Email signature

My signature (at least sometimes):

p=2^q-1 prime <== q>2, cosh(2^(q-2)*log(2+sqrt(3)))%p=0

this is just the Lucas Lehmer test in disguise. See the fxtbook for more information.

Something similar: The symbolic dynamic of x*x-2 starting with x_0 is encoded in graycode(acos(x_0/2)/Pi) :
see predict.txt and predict.cc This is an observation I made in 1993. I happened to find the files on my harddisk (Oct-2000) so I added them (unchanged) to this page.

Your feedback is appreciated.

jj (Jörg Arndt)

Last modified 2009-March-11 (09:28)

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