Word: theorems
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Dates: during 1990-1999
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...says, was, specifically designed toreach an energy level high enough to either provetheir theories for sure, or give them newones--the so-called "no lose" theorem. Thiscertainty was not assured using lesser energycolliders...
...leak has sprung in the solution to Fermat's last theorem, the famous equation that has intrigued mathematicians for 350 years. The 200-page proof that Princeton mathematician Andrew Wiles unveiled with such panache last summer turns out to have a flaw. "I believe I will be able to finish this in the near future," Wiles told colleagues...
Wiles' solution comes at the theorem in a different way. What he actually proved was an important part of another math puzzle, known in the trade as the Taniyama Conjecture, which deals with the equations that describe mathematical objects known as elliptic curves. Just six years ago, Berkeley's Ribet demonstrated that proving this conjecture was tantamount to proving Fermat's Last Theorem. "What is amazing about Wiles' proof," says Boston, "is that while it built on previous attempts, Andrew realized how to put all these complicated pieces together...
Wiles' proof is historic, but the subfields of mathematics generated along the way by people working to solve Fermat's theorem are full of perplexing problems, and so are other areas of math. A proof of Fermat's famous theorem by no means brings any line of inquiry to an end. Still bedeviling mathematicians are the Poincare Conjecture, the Riemann Hypothesis, Goldbach's Conjecture, Kepler's sphere-packing problem and dozens of others. There are, in short, enough mind-bending challenges to keep mathematicians busy for at least the next 350 years...
MATHEMATICS: Proving Fermat's Theorem...