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。

耶鲁公开课 - 金融市场课程节选

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

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》

耶鲁公开课 - 基础物理课程节选

I talked about life is not like a mathematic problem ? with you or in my other class ?

我说过生活不是个数学难题,是跟你们说过？，还是在我另外的课上？

麻省理工公开课 - 电影哲学课程节选

- But there's one potential gotcha here -- and this is where you have to be kind -- of piecing together the little clues along the way -- what have I done that's interesting here that had I not, I would have had a mathematical error?

但是这里有一个可能性-,这就是你需要把,一些线索拼凑在一起-,我这里所做的是很有趣的，如果我不这样做，我可能已经犯了个数学错误？

哈佛公开课 - 计算机科学课程节选

I think math is the most obvious one that would be suitable for adapting to this format.

我觉得数学是最明显的,数学能很好地,适应这种方式。

麻省理工公开课 - 媒体、教育、市场课程节选

Again, don't worry too much about the equation, we're not really going to do any math here, I'm just putting it in for completeness.

对这个方程也不需要太深究,在这里我们不强调数学运算的,我把它写出来是为了表述完整

耶鲁公开课 - 博弈论课程节选

so I'll need to do math and science classes for the rest of my college career.

所以我必须在我余下的学生阶段完成数学和自然科学的课程。

伯克利的课程计划 - SpeakingMax英语口语达人

But, you know, I know someone who was a teacher in a Chicago public school for decades and lost his job, teaching math to high school kids, because he is gay.

我认识一个任职于,一所芝加哥公立学校几十年的老教师,被解雇了，他在高中教数学，仅仅是因为他是同性恋。

普林斯顿公开课 - 人性课程节选

And the prospect of having a lot of time to pursue math problems of a richer and deeper sort seems fairly attractive.

要是能有时间,解决更困难更深奥的数学问题,对我相当有引吸力。

耶鲁公开课 - 死亡课程节选

That's the answer I heard. Is that all right? Okay, enough of this mathematical falderal.

这是我听到的答案,没错吧,好的,不管这个数学谬论了

耶鲁公开课 - 古希腊历史简介课程节选

Others though, I want to tell you that it doesn't-- if you're shopping-- I had a student come by yesterday and ask he's a little rusty in his math skills if he should take this course.

其他的,我想告诉你们不必...,如果你还在挑选课程...,昨天有个学生来问我,他的数学有点荒废了,他该不该选这门课

耶鲁公开课 - 金融市场课程节选

So we've looked at how to solve square root we've, looked at two problems, I've tried to instill in you this sense of paranoia which is so valuable, and now we're going to pull back Python and return to something much simpler than numbers, and that's Python. All right?

我们已经研究了如何去求平方根,研究了两种方法,我一直在尝试着给你们逐渐灌输,要偏执的理念，这样的理念非常有价值，现在我们回过头来去学习一些,比数字更简单的东西，也就是,对不对？数学问题很难？

麻省理工公开课 - 计算机科学及编程导论课程节选

So it was very interesting, like, mathematical which is what I am interested in, so

很有趣，跟数学有关，是我所感兴趣的，所以

对于古怪教授 - SpeakingMax英语口语达人

I don't have to take math ever again, so the people here are like, they are in the class they want to be in the class,

我再也不用学习数学了，所以这里的学生可以想学什么学什么，

布朗的学生们 - SpeakingMax英语口语达人

I'll show those again, but what I want to do mostly today is try to put a mathematical statement of the second law in place that corresponds to the verbal statements that we saw last time.

今天我还将跟你们讲这些，但今天的重点是,对上次口头表述内容中的热力学,第二定律,的数学推导,我们上次看到的。

麻省理工公开课 - 热力学与动力学课程节选

You will have to have a little more math, a little more physics to do that, but I am going to talk about something that you are familiar with.

你还需要学习再多一点的数学，再多一点的物理，但我将说一些,你所熟知的事。

麻省理工公开课 - 固态化学导论课程节选

If the stereotype is "your group doesn't do good in this," if I remind you that you're a member of that group immediately before doing it, your performance will drop.

如果刻板印象是“你的群体数学不好”,如果我在考前说，你是这个群体的,你的表现就会下降。

耶鲁公开课 - 心理学导论课程节选

So in my first year, I took math, I took English, I took architecture.

所以在第一年里，我上了数学、英语、建筑方面的课。

为何选那门专业？ - SpeakingMax英语口语达人

Alright, when I was an undergraduate, I was Computer Engineering and Math.

我本科的时候学的是计算机工程与数学。

从工学到经营学 - SpeakingMax英语口语达人

It's something I study, and I like it a lot, it's very interesting,

这是我学习的内容，我很喜欢数学，很有趣。

都是天才 - SpeakingMax英语口语达人

But the mathematicians told Dirac, "You cannot ignore the negative energy solution because it tells you there's a second solution and you cannot throw them out."

但数学家们告诉狄拉克,你不能忽略负的能量,因为数学告诉我有两个根,你不能随便丢掉

耶鲁公开课 - 基础物理课程节选

Then, you go to the Math Department and say, "Please tell me what's the answer to this equation?"

然后,你到数学系去问,"请告诉我这个方程的解是什么"

耶鲁公开课 - 基础物理课程节选

I don't want anybody to quit this class because they're worried about math or math notation.

我不希望你们因为对数学,或是数学符号的恐惧而放弃这门课

耶鲁公开课 - 博弈论课程节选

And I think that's very important especially with electromagnetism, which is so numb toward if, so abstract and so much math flowing around.

我觉得这是非常重要的,尤其是对于电磁学来说，它是一门很难懂的，很抽象的学科,包含很多数学在里面。

麻省理工公开课 - 媒体、教育、市场课程节选

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

耶鲁公开课 - 基础物理课程节选

There has to be the mathematical model, which I just presented, but it may be more complicated.

还必须有我之前讲的数学模型,但实际模型可能更复杂

耶鲁公开课 - 金融市场课程节选

Now as an aside, I'll admit this is a completely useless program, much like the first couple of ones we did because why would you write a program just to solve this?

说点题外话，我承认这是一个完全无用的程序，跟我们之前写的两个程序一样,我们为什么需要写个程序来解决这个数学运算呢？

哈佛公开课 - 计算机科学课程节选

And if you haven't, if you've never seen it before, if you haven't taken, for example, the equivalent of Math 112, come and see us.

如果你以前没有接触过,或者说你们没学过类似数学112的课程,来找我求助吧

耶鲁公开课 - 博弈论课程节选

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。

麻省理工公开课 - 电影哲学课程节选