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》
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。
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
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。
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。
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
It happens. Fortunately, while sitting in jail awaiting trial, the slow thief decided to figure what was wrong. And, amazingly enough, he had studied mathematics. And had a blackboard in the cell. So he was able to work it out.
失主叫了警察然后小偷最后被抓进了监狱,幸运的是这个贼做来牢房里,等待判决时发现了自己的错误,它很惊人的学习过数学,牢房里,还有一个黑板,它可以把题目算出来了。
We don't have to worry about how you solve it, but it's problem in mathematics and the answer will be--surprise, it's going to be oscillating back and forth and that'll come out of the wash.
我们没必要去担心这个方程该怎么解,但这个数学问题的答案将会是令人惊讶的,弹簧会来回振荡,问题就迎刃而解了
It seems like a very compelling account of what's going on in mathematics.
似乎对于数学的解释,这是一种很有说服力的说法
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。
And the mathematics of that equation involved a double derivative in time of x 0 plus some constant times x equals zero with some constraints on it.
那个数学方程式,包括了x对时间的二阶导数,加上常数乘以x等于,还有一些限制条件。
Mathematicians have luckily told us how to analyze the mathematics in any number of dimensions.
数学家们正好告诉了我们,如何在任意维度下进行数学分析
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