I realize I've given you some difficult mathematics, but--it's not that difficult actually-- but I kind of went through it quickly.
我发现我给了你们一些比较难的数学公式,不过,并不是想象的那么难-,我很快就把它们讲完了。
A lot of mathematics majors go into that, and it's like, just like, in New York finance.
很多数学专业的学生都会从商,比若说去纽约金融业。
Well, the infinity mechanism, and many of you will be familiar with this from mathematics or computer science, is recursion.
这种无限机制是递归的,你们许多人会在数学与计算机科学中,熟悉这个词
One solution for that is to get a copy of a textbook I wrote called Basic Training in Mathematics.
解决办法之一,就是买一本我编写的教材,书名叫《数学基础训练》
It turns out not, but it does evince the fact that we have some basic syntax like mathematics and equal signs and whatnot with which we can now start using for more useful purposes.
结果不是那样的,但这的确有个事实,我们有些基本的运算法则和等号和,其他一些东西,用来为我们一些,更多有用的目的而服务的。
They read. And one of the people that was reading this literature was a high school teacher who was teaching mathematics in Basil, Switzerland.
其中一个读过这篇文章的人,是个教高中生的老师,在瑞士的罗勒教数学。
This is the most famous bell-shaped curve, but there are other ones with different mathematics.
正态分布是最著名的钟形曲线,但仍有其他表达式下的钟形曲线
We prove things in mathematics that have never been proven before or we find new ways to prove these theorems or what have you and we can be creative.
我们用数学去证明从未被证明过的事物,我们探寻新的方法去证明那些定理,或其他诸如此类,总之,我们具有创造力
I realize that this thinking about antigen, antibody combinations and the mathematics of how strongly an antibody binds to a specific antigen, is maybe something that's new to you.
我觉得这些关于 抗原抗体结合,以及,抗体如何强有力地结合抗原的问题,对你们来说很新鲜
So literary can sometimes be very abstract like mathematics, and therefore, if someone says make me a movie, showing me what the square of minus two means that is going to be a challenge.
文学有时候也可以很抽象,像数学,因此如果有人说,给我做一部电影吧,给我展示一下负二的平方,那将是一个挑战。
So, what we're dealing here with is a situation where the ancient Greeks were very much into mathematics as a way of explaining the world and explaining music in particular And they thought these ratios were primary.
那么,我们现在要潜心琢磨,古希腊人热衷于,用数学来解释世界,尤其是音乐的这种情形,他们认为这些比例才是基础
And in particular, I'm going to cheat slightly I'm going to use a little bit of abusive mathematics, but I'm going to show you a trick to figure it out.
尤其要说明的是,我会有一点不属实在里面,我会滥用一点数学,但是,我会教会你们这个小把戏的。
including Computer Science, Mathematics, Linguistics, things of that sort.
包括计算机科学、数学、语言学,这一类的。
Politics political science he tells us in the Ethics again is not a theoretical subject in the matter of physics or metaphysics or mathematics.
政治,政治科学,他在《伦理学》中再次告诉我们的,并非理论性主题,见诸物理学,形上学或数学。
There are others who like to show you how much mathematics you could somehow insinuate into the process.
还有些人喜欢跟你炫耀数学用的多,尽管过程显得非常繁琐
Mine is to demonstrate over and over how little mathematics you need to get the job done.
我的方法就是,反复演算,用最少的数学来解决问题
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