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BBC纪录片地平线《费马最后的定理》第21期:转换思维

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  • But there was still a problem.
  • 但仍存有一个问题。
  • Late in the spring of '93 I was in this very awkward position
  • 93年的暮春时分,我处于一个非常尴尬的境地,
  • and I thought I'd got most of the curves to be modular,
  • 我认为我已将大多数的曲线化为模形式,
  • so that was nearly enough to be content to have Fermat's last theorem,
  • 那对于证明费马最后定理来说已几近足够,
  • but there was this, these few families of elliptic curves that had escaped the net.
  • 但情况是,有少数椭圆曲线族仍无法纳入证明体系。
  • I was sitting here at my desk in May of '93, still wondering about this problem,
  • 93年的5月,我就坐在书桌这儿,仍在考虑这个难题,
  • and I was casually glancing at a paper of Barry Mazur's
  • 而我无意间瞥见了巴里·梅休尔的一篇论文,
  • and there was just one sentence which made a reference to actually what's a 19th-century construction
  • 其中只有一句话提及的实为19世纪时期的一个结构,
  • and I just instantly realised that there was a trick that I could use,
  • 我当即意识到其中有个技巧我可以用上,
  • that I could switch from the families of elliptic curves I'd been using.
  • 我可以将我正在使用的椭圆曲线族进行转换
  • I'd been studying them using the prime three, I could switch and study them using the prime five.
  • 以前是在用质数3来研究它们,我可以进行转换,用质数5来研究它们。
  • It looked more complicated, but I could switch from these awkward curves that I couldn't prove were modular,
  • 看起来是更复杂了,但我可以对这些棘手的我还不能证明其为模形式的曲线进行转换
  • to a different set of curves which I'd already proved were modular
  • 转为我已证明为模形式的另一种曲线族,
  • and use that information to just go that one last step.
  • 而且利用那信息来迈出最后一步。
  • And I just kept working out the details, time went by and I forgot to go down to lunch.
  • 我一直在钻研细节,时间过去了,我忘记了下楼吃午饭。
  • It got to about teatime, I went down and Nada was very surprised that I'd arrived so late
  • 到了下午茶时间,我下楼来,娜达非常惊讶我来得这么晚,
  • and then I told her that I, I believed I'd solved Fermat's last theorem.
  • 于是我告诉她,我相信我已经破解了费马最后定理。


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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    
awkward ['ɔ:kwəd]

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adj. 笨拙的,尴尬的,(设计)别扭的

 
prime [praim]

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adj. 最初的,首要的,最好的,典型的
n.

联想记忆
switch [switʃ]

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n. 开关,转换,鞭子
v. 转换,改变,交换

 
reference ['refrəns]

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n. 参考,出处,参照
n. 推荐人,推荐函<

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construction [kən'strʌkʃən]

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n. 建设,建造,结构,构造,建筑物

联想记忆
complicated ['kɔmplikeitid]

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adj. 复杂的,难懂的
动词complica

 

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