要理解庞加莱猜想,当始于对三维世界存在的一切物体的认识。
To understand the poincare conjecture, start by thinking of any object existing in a three-dimensional world.
甚至有报道说你们最终证明了庞加莱猜想。你是怎么熬过来的?
It was even announced you have finally proved the poincare Conjecture.
给出我们生活的这个世界的三维空间,庞加莱猜想能够告诉我们我们的宇宙的形状。
Given that we live in a world with three spatial dimensions, the poincare conjecture tells us ultimately what shape our universe could be.
庞加莱猜想最先由法国数学家亨利?庞加莱于1904年提出,是一个关于三维空间形状的问题。
The Poincaré Conjecture was first posed by the French mathematician, Jules Henri Poincaré, in 1904, and seeks to understand the shape of the universe by linking shapes, spaces and surfaces.
庞加莱猜想的重要不仅在于它的实际应用性,还因为巨量的数学工作是基于假定庞加莱猜想是正确的。
Poincare's conjecture is important not for its practical applications, but because a vast quantity of mathematical work assumes that it is true.
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.
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.
但最近,我们解决了庞加莱猜想这一难题,对于这一具有挑战性的问题的解决方式则给了我们希望,让我们有希望解决甚至是难以琢磨的问题。
But the recent solution of another challenging problem, the poincare conjecture, gives us hope that even the most elusive problems can be conquered.
8月22日的国际数学家大会(the InternationalCongressof Mathematicians)上,授予了佩雷尔曼博士最高荣誉——菲尔兹奖(theFieldsmedal),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.
19世纪晚期的法国博学家亨利·庞加莱(Henri poincare)提出了一个猜想,结果数学家们为之奋斗了整整一个世纪。
FOR the past century mathematicians have struggled to prove the conjecture of a late-19th-century French polymath, Henri poincare.
19世纪晚期的法国博学家亨利·庞加莱(Henri poincare)提出了一个猜想,结果数学家们为之奋斗了整整一个世纪。
FOR the past century mathematicians have struggled to prove the conjecture of a late-19th-century French polymath, Henri poincare.
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