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- Together, Taniyama and Shimura worked on the complex mathematics of modular functions.
- 谷山丰和志村五郎一起进行模函数方面复杂数学的研究
- I really can't explain what a modular function is in one sentence.
- 我实在不能用一句话来描述模函数是什么
- I can try and give you a few sentences to explain it.
- 我可以试着以几句话来解释
- I really can't put it in one sentence.
- 确实不能以一句概括之
- Oh it's impossible.
- 哦,不可能的。
- There's a saying attributed to Eichler that there are five fundamental operations of arithmetic:
- 埃其勒曾说过算术中有五种基本运算:
- addition, subtraction, multiplication, division and modular forms.
- 加,减,乘,除以及模形式。
- Modular forms are functions on the complex plane that are inordinately symmetric.
- 模形式是有着非比寻常对称性的复杂平面的函数
- They satisfy so many internal symmetries that their mere existence seem like accidents, but they do exist.
- 它们具有如此多的内在对称性,其存在看来像出自意外,但它们确实存在。
- This image is merely a shadow of a modular form.
- 这幅图像仅是一个模形式的映射
- To see one properly your TV screen would have to be stretched into something called hyperbolic space.
- 要看得真切,你的电视屏可能得需要伸展入双曲空间。
- Bizarre modular forms seem to have nothing whatsoever to do with the humdrum world of elliptic curves.
- 怪里怪气的模形式看上去和椭圆曲线的单调世界没什么关系。
- But what Taniyama and Shimura suggested shocked everyone.
- 但谷山丰和志村五郎的提法语惊四座。
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