Word: theorems
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...graduate seminar on "Topics in Mathematical Statistics," Diaconis uses a simple card game called "Say Red" to illustrate a complex mathematical theorem...
...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' 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...