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病态怪物!受惊的数学家叫喊
Every one of them is a splinter in my eye
他们每个人都是我眼中碎片
I hate the Peano Spad the Koch Curve
我憎厌阿砣空间和科赫曲线
I fear the tor Ternary Set
我害怕康托三元集
The Sierpinski Gasket makes me want to cry
谢尔宾斯基垫圈让我忍不住流泪
And a million miles away a butterfly flapped its wings
百万英里外,蝴蝶扇动翅膀
On a cold November day a man named Benoit Mandelbrot was born
寒冷的十一月的一天,伯努瓦曼德尔布罗出生
His disdain for pure mathematid his unique geometrical insights
他蔑视纯数学,他几何见解独特
Left him well equipped to face those demons down
他准备充分,直面恶魔
He saw that infinite plexity could be described by simple rules
他描述无限复杂以简单规则
He used his giant brain aurhe game around
他的大脑扭转了局面
And he looked below the storm and saw a vision in his head
他看着暴风雨之下,幻象诞生于脑海
A bulbous pointy form
球形尖形
He picked his pencil up and he wrote his secret down
他拿笔,写下自己的秘密
何数在心里对自己说,“它可以用复二次多项式:f_c(z) = z^2 c来定义……”
Just Take a point called Z in the plex plane
在复杂的平面上取一个叫做Z的点
And Z3 is Z2 squared plus d so on
Z3是Z2的平方加上C,依此类推
If the series of Z\' s will always stay
如果Z系列将永远存在
Close to Z and rend away
接近Z,永不偏离
That point is in the Mandelbrot Set
那是在曼德勃罗集合里
何数想,本华曼德博或许也就是以这样的方式为更多人所知,仅仅是由于被写在歌里。现在这些人都记住了他的分形几何。
Mandelbrot\' s in heaven, at least he will be when he\' s dead
曼德尔布罗在天堂,至少他死后会
Right now he\' s still alive and teag math at Yale
现在他还活着,在耶鲁教数学
He gave us order out of chaos, he gave us hope where there was none
混乱中他给了我们秩序,无序的地方他给了我们希望
And his geometry succeeds where others fail
他的几何学在别人失败处成功
If you ever lose your way, a butterfly will flap its wings
如果你失去方向,蝴蝶会扇动翅膀
From a million miles away, a little miracle will e to take you home
百万英里之外,微小的奇迹会带你回去
……
何数想,既然他致力于向大众介绍自己的理论,