So, what we are going to study now is a non-living object and we're going to pick it to be a mathematical point.

我们现在所要研究的的,是一个没有生命的物体,我们要把它看作一个数学上的点

耶鲁公开课 - 基础物理课程节选

We don't have requirements. We don't have to take math, that's the reason I applied to Brown,

我们没有什么硬性要求。我们不用上数学课，这是我选择布朗大学的原因，

布朗的学生们 - SpeakingMax英语口语达人

He was trying to describe electrons, but the theory said there are two roots in the quadratic equation and the second root is mathematically as interesting as the first one.

他当时只是想去描述电子,但是数学理论告诉我们,二次方程有两个根,而第二个根在数学上和第一个根一样有趣

耶鲁公开课 - 基础物理课程节选

But mathematically, we've mentioned this before, log N or really to be precise, log base 2 of N, is the way you express this mathematically.

但从数学上说，之前我们已经提到过了，准确地说是log，N，以2为底N的对数，这就是它在数学上的表示。

哈佛公开课 - 计算机科学课程节选

But I know today in my math class, we were learning about the guys who created RSA Public Key Cryptography.

但是今天的数学课上，我们在学习RSA公钥加密算法的创始人。

积极参与俱乐部活动 - SpeakingMax英语口语达人

So, that's sort of the mathematically how we get to a, but we can also just look at the graph here, because every time we go one wavelength we can see that we're back in a maximum.

这是就我们得到a的数学,办法，但我们可以直接,从图上看，因为每次我们,经过一个波长，都回到一个最大值。

麻省理工公开课 - 化学原理课程节选

So if you're going to turn the crank v on the math correctly, you're going Cv to have to change this p into a V somehow.

所以如果哟啊正确地推导,我们需要把这个p变成,因为从数学上说这不是。

麻省理工公开课 - 热力学与动力学课程节选

Mathematically, we can make it 0.

在数学上讲,我们把它变成零

耶鲁公开课 - 基础物理课程节选