new application of intervals
Vladik Kreinovich
vladikacs.utep.edu
Wed Jan 1 14:26:43 PST 1997
Dear Friends,
Arnold Neumaier has just attracted our attention to a new exciting
application of intervals: by Thomas C. Hales from the University of
Michigan, who used intervals in his reasearch of
the Kepler Conjecture (on the densest arrangment of spheres
in space).
This is work in progress; preliminary results, preprints, and references
can be found on URL
http://www.math.lsa.umich.edu/~hales/kepler.html
The link to this page has been added to the Applications part of the
Interval Computations website
http://intcomp.home.ml.org (also available as
http://cs.utep.edu/interval-comp/main.html),
and the link
to Dr. Hales's homepage has been added to the Personalia part of the
interval website).
Vladik and Misha
P.S. Happy New year!
*********************************************************************
* * * * * * * * * * *
* * * * * *
* * * /\ * * * * *
* * /\ //\\ * * ** *
* * /\ //\\///\\\ /\ * * *
* * * //\\ ///\////\\\\ /\ //\\ *
* /\ / ^ \/^ ^/^ ^ ^ \/^ \/ ^ \ *
* /^ \ / ^\/ ^ ^ ^ / ^ ^ ^ \/ ^ ^ \ * * *
* / ^ ^ \/^ ^\ ^*^ ^ ^ ^ * ^ ____ ^ ^ \ * /|\ *
* / ^ ^ ^ \ ^ _\_____*___*_________| |_*___^ ^ \ /||o\ *
* / ^^ ^ ^ ^\ /_*__*______*_______*_______*__\ ^ ^ \ /|o|||\
* / ^ ^^ ^ ^ /___*___*________*________*______\ ^ /|||||o|\ *
/^ ^ ^ ^^ ^ ||___|___||||||||||||___|__||| /||o||||||\
/ ^ ^ ^ ^ ||___|___||||1997||||___|__||| | |
/ ^ ^ ^ ^ ^ ^ ||||||||||||||||||||||||||||||oooooooooo| |ooooooo
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
HAPPY HOLIDAYS!
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