評(píng)論
打印
Together, Taniyama and Shimura worked on the complex mathematics of modular functions.
谷山豐和志村五郎一起進(jìn)行模函數(shù)方面復(fù)雜數(shù)學(xué)的研究
I really can't explain what a modular function is in one sentence.
我實(shí)在不能用一句話來描述模函數(shù)是什么
I can try and give you a few sentences to explain it.
我可以試著以幾句話來解釋
I really can't put it in one sentence.
確實(shí)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:
埃其勒曾說過算術(shù)中有五種基本運(yùn)算:
addition, subtraction, multiplication, division and modular forms.
加，減，乘，除以及模形式。
Modular forms are functions on the complex plane that are inordinately symmetric.
模形式是有著非比尋常對(duì)稱性的復(fù)雜平面的函數(shù)
They satisfy so many internal symmetries that their mere existence seem like accidents, but they do exist.
它們具有如此多的內(nèi)在對(duì)稱性，其存在看來像出自意外，但它們確實(shí)存在。
This image is merely a shadow of a modular form.
這幅圖像僅是一個(gè)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，你的電視屏可能得需要伸展入雙曲空間。
Bizarre modular forms seem to have nothing whatsoever to do with the humdrum world of elliptic curves.
怪里怪氣的模形式看上去和橢圓曲線的單調(diào)世界沒什么關(guān)系。
But what Taniyama and Shimura suggested shocked everyone.
但谷山豐和志村五郎的提法語驚四座。
