庞加莱猜想的证明

Proof of Poincare's conjecture

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1
8月22日的国际数学家大会（the International Congress of Mathematicians）上，授予了佩雷尔曼博士最高荣誉——菲尔兹奖（the Fields medal），以表彰他对解决庞加莱猜想做出的贡献。时过三年以后，佩雷尔曼对庞加莱猜想的证明已被证实了正确性。
On August 22nd the International Congress of Mathematicians awarded Dr Perelman its highest honour, the Fields medal, for his solution which, having stood for three years, is now taken as correct.
2
一旦证明猜想是伪命题，那将使人们对现代数学的许多部分产生质疑——当然也包括基于庞加莱猜想的一切。
Proving the conjecture false would have cast doubt on much of modern mathematics-and everything that depends on it.
3
佩雷尔曼博士利用广为人知的“瑞奇流（Ricci flow）”这样一个热方程来证明了庞加莱猜想。
Dr Perelman proved Poincaré's conjecture by taking an equation normally used to model heat dissipation in three-dimensional objects, known as Ricci flow.

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