• Milnor says that what he loves most about mathematics is “a feeling of miracles.

    米尔诺尔说数学让他最喜爱的地方是那种“奇迹的感觉”。

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  • Milnor is also known as a great expositor, whose books are low on abstruseness and high on simple, common-sense explanations.

    米尔诺尔也是一个伟大的解说者,他的书不会很深奥,更多的是简单、常识性的解读。

    youdao

  • Before Milnor, no one had any inkling that this restriction made any difference; for spaces of three dimensions or fewer, it does not.

    在米尔诺尔之前,没有人认为这个限制有什么影响;而对于三维以下的空间,确实没有影响。

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  • In 1956, Milnor produced a result that other mathematicians immediately recognized as a masterpiece for the ages: proving the existence of "exotic" 7-dimensional spheres.

    1956年,米尔·诺尔证明了奇异的7维球体的存在,其他数学家立刻认识到这一成果是时代的杰作。

    youdao

  • In 1956, Milnor produced a result that other mathematicians immediately recognized as a masterpiece for the ages: proving the existence of "exotic" 7-dimensional spheres.

    1956年,米尔·诺尔证明了奇异的7维球体的存在,其他数学家立刻认识到这一成果是时代的杰作。

    youdao

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