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研究生学术英语读写教程翻译 中国科学院大学Unit1-Unit5
- unit4 Magic Numbers神奇数字:数学方程式可以美丽吗?
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unit4 Magic Numbers神奇数字:数学方程式可以美丽吗?
Paul Dirac had an eye for beauty. In one essay, from May 1963, the British Nobel laureate referred to beauty nine times. It makes four appearances in four consecutive sentences. In the article he painted a picture of how physicists saw nature. But the word beauty never defined a sunset, nor a flower, or nature in any traditional sense. Dirac was talking quantum theory and gravity. The beauty lay in the mathematics.
保罗·狄拉克对美有眼光。在1963年5月的一篇文章中，这位英国诺贝尔奖获得者九次提到美。它连续四个句子消灭。在这篇文章中，他描绘了物理学家如何对待自然。但“美“这个词从来不是夕阳，也不是花，也不是任何传统意义上的自然。狄拉克在谈论量子理论和引力。美在于数学。
What does it mean for maths to be beautiful? It is not about the appearance of the symbols on the page. That, at best, is secondary. Maths becomes beautiful through the power and elegance of its arguments and formulae; through the bridges it builds between previously unconnected worlds. When it surprises. For those who learn the language, maths has the same capacity for beauty as art, music, a full blanket of stars on the darkest night.
数学美意味着什么？它不是关于页面上符号的外观。这充其量是次要的。数学之美，在于其论证和公式的力气和优雅，在于它贯穿了原本互不相干的世界。当它惊喜。对于学习数学这门语言的人而言，数学和艺术、音乐以及在漆黑夜空中的满天斗星一样，可以美轮美奂。
“The slow movement of the Mozart clarinet concerto is a really beautiful piece of music, but I don’t print off a page of the score and put that on my wall. It’s not about that. It’s about the music and the ideas and the emotional response,〞 says Vicky Neale, a mathematician at Oxford University. “It’s the same with a piece of mathematics. It’s not how it looks, it‘s about the underlying thought processes.〞
“莫扎特单簧管协奏曲的缓慢移动是一首格外奇特的音乐，但我不打印出乐谱的一页，而是把它写在墙上。不是这个这是关于音乐、思想和情感反响，“牛津高校数学家维琪·尼尔说。“这与一块数学违反。它不是它看起来的样子，它是关于底层的思维过程。
Brain scans of mathematicians show that gazing at formulae considered beautiful by the beholder elicits activity in the same emotional region as great art and music. The more beautiful the formula, the greater the activity in the medial orbito-frontal cortex. “So far as the brain is concerned, maths has beauty just like art. Ther
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