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BBC纪录片地平线《费马最后的定理》第13期:提出Epsilon猜想

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  • Frey showed how starting with a fictitious solution to Fermat's last equation
  • 弗莱展示出如何从费马最后定理的一个假定解着手,
  • if such a horrible, beast existed, he could make an elliptic curve with some very weird properties.
  • 如果这样一个可怕的怪兽确实存在,他就可赋予椭圆曲线一些非常怪异的特性。
  • That elliptic curve seems to be not modular,
  • 那种椭圆曲线看来并非模形式,
  • but Shimura-Taniyama says that every elliptic curve is modular.
  • 但谷山-志村猜想认为每条椭圆曲线就是模形式的。
  • So if there is a solution to this equation it creates such a weird elliptic curve, it defies Taniyama- Shimura.
  • 因此如果这个等式有解,就会产生如此这般怪异的椭圆曲线,而不遵从谷山-志村猜想。
  • So in other words, if Fermat is false, so is Shimura-Taniyama,
  • 换而言之,如果费马是错的,谷山-志村猜想也就是错的,
  • or said differently, if Shimura- Taniyama is correct, so is Fermat's last theorem.
  • 或者说如果谷山-志村猜想是对的,那么费马最后定理也是对的。
  • Fermat and Taniyama-Shimura were now linked, apart from just one thing.
  • 费马和谷山-志村现已联系在一起,只除了一件事。
  • The problem is that Frey didn't really prove that his elliptic curve was not modular.
  • 问题在于弗莱其实没有证明他的椭圆曲线不是模形式
  • He gave a plausibility argument which he hoped could be filled in by experts, and then the experts started working on it.
  • 他给出了一个看似有理的论点,寄希望于专家们能够证实,于是专家们开始进行研究。
  • In theory, you could prove Fermat by proving Taniyama, but only if Frey was right.
  • 理论上,你可经由证实谷山来证实费马,但只有在弗莱正确时。
  • Frey's idea became known as the epsilon conjecture and everyone tried to check it.
  • 弗莱的观点得名为"Epsilon猜想",大家都试图要验证它。
  • One year later, in San Francisco, there was a breakthrough.
  • 一年之后,在旧金山市有了个突破。


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本片从证明了费玛最后定理的安德鲁·怀尔斯开始谈起,描述了费玛最后定理的历史始末。


重点单词   查看全部解释    
curve [kə:v]

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n. 曲线,弯曲,弧线,弯曲物
vt.

 
solution [sə'lu:ʃən]

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n. 解答,解决办法,溶解,溶液

联想记忆
conjecture [kən'dʒektʃə]

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v. & n. 推测,臆测

联想记忆
check [tʃek]

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n. 检查,支票,账单,制止,阻止物,检验标准,方格图案

联想记忆
equation [i'kweiʃən]

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n. 相等,方程(式), 等式,均衡

联想记忆
breakthrough ['breik.θru:]

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n. 突破

 

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