Dr Perelman proved Poincaré's conjecture by taking an equation normally used to model heat dissipation in three-dimensional objects, known as Ricci flow.
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 overcame this difficulty by cutting off the singularities, continuing with the Ricci-flow application and then rejoining the transformed objects later.
佩雷尔曼博士克服这一困难，他切断了奇点，继续运用瑞奇流并重新接合已变形的物体。
Dr Perelman overcame this difficulty by cutting off the singularities, continuing with the Ricci-flow application and then rejoining the transformed objects later.
佩雷尔曼博士克服这一困难，他切断了奇点，继续运用瑞奇流并重新接合已变形的物体。
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