How to melt if you must
Article Abstract:
Recent research has proved a hypothesis by Ennio de Giorgi, who died in Oct 1996, that makes it possible to calculate what takes place as a melting boundary is crossed. This research used a variational technique relying on minimizing the energy integrals connected with certain equations. It is now known that there is something about eight-dimensional spaces that makes them inherently different from seven-dimensional ones.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 1998
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Counting up to four
Article Abstract:
Tim Gowers has proved that any alignment of marbles with density delta not containing four evenly spaced marbles, must have less than exp(exp(1/deltaC)) marbles, where C is a constant not dependent on delta. His method builds on Roth's inspiration of using Fourier analysis, and is not limited to k = 4. The result increase hope that the famous problem in number theory could finally be solve.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 1999
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Curves and numbers
Article Abstract:
A new study proves Pierre de Fermat's last theorem, proof of which has been missing for 350 years.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 2000
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