Now, we are very gentle in this course with respect to knowing integrals, but this is one you have to know.

这门课对积分,的要求并不高，但这个积分你们必须会算。

麻省理工公开课 - 热力学与动力学课程节选

So if we went through and drew out our Lewis structure following each of our steps, what we would get is this as our Lewis structure here, and we could figure out all of the formal charges.

那么如果我们按照流程,经过所有的步骤来画路易斯结构，我们会得到这样的路易斯结构，然后我们可以算出所有的形式电荷。

麻省理工公开课 - 化学原理课程节选

I have to believe that the bulk of the killing took place on the flight and so that's why that works out.

但我相信,惨重的伤亡会在逃跑时出现,这就是为什么会算出那么惨重的伤亡数字

耶鲁公开课 - 古希腊历史简介课程节选

Then if you adjust for survivorship bias, you end up concluding that the deficit wasn't .3% but the deficit was actually 2%.

那么如果你算上生存偏差,你会发现,缺口不是0.3%,事实上是2%

耶鲁公开课 - 金融市场课程节选

That's one way to do it and I'll talk about it in other ways in just a minute.

这算一种办法,我一会儿还会讲别的

耶鲁公开课 - 生物医学工程探索课程节选

If you fail to take the test, you get zero, and I average the zero in.

如果你没能参加，那即是零分，我算平均分的时候会加入那个零分。

麻省理工公开课 - 固态化学导论课程节选

But a few bits of jargon are going to be helpful in allowing the conversation to move forward and this is certainly one.

不过稍微懂一点术语,会让交流更顺畅,这个定义当然算术语

耶鲁公开课 - 博弈论课程节选

You have to make those calculations and there are errors in that, but you come away with a population estimate of things like that.

你必须把这些都算进去,因为其中存在误差,但这样你会得出,整体人群摄取量的估算值

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

Now, you may say this doesn't amount to a very limited government, and the libertarian may complain Locke is not such a terrific ally after all.

现在或许你会说，这并不算真正有限的政府，而自由主义者会抱怨洛克并不算他们的好盟友。

耶鲁公开课 - 公正课程节选

I'm going to get the total number of legs out.

我将会算出腿的总数量。

麻省理工公开课 - 计算机科学及编程导论课程节选

It takes time and I'm probably going to screw up.

它很费时间而且我也许会算错

耶鲁公开课 - 基础物理课程节选

But if, over the course of the semester, you get better, then we will give, at the end of the semester, when we're figuring out your semester grade, we'll give the later, stronger papers more than their official weight.

但如果，在这学期中，这门课，你进步了，那么我们会，在学期末，我们算出你的分数后，我们会给那一两篇较晚时候写的，较好的论文比之前规定的更大的比重。

耶鲁公开课 - 死亡课程节选

We want to have that definition clear because in fact we're going to, we might want tabulate heats of reaction, right, and of course want to know what the conditions are for the tabulated values apply. And we're going to want to calculate them from other quantities and again, we're going to need to know each case what are the relevant conditions?

我们想要明确这个定义,因为实际上我们会想把,反应热制成表格，当然我们会,想知道表中的数据在什么样的,条件下是有效的，我们会,想要从其他的量中算出它们,再一次，我们需要知道,每种情形下相关的条件是什么？

麻省理工公开课 - 热力学与动力学课程节选

In fact, we'll do the whole experiment ourselves minus the radioactivity in just a minute, so we'll be able to answer that question for you.

来算一下，事实上等会儿,我们自己会把，整个实验都做一遍。

麻省理工公开课 - 化学原理课程节选

But that would get very boring, so rather than do that, let's draw a picture.

不过这样做会很枯燥,与其一个一个地算,不如我们画张图吧

耶鲁公开课 - 博弈论课程节选

Now, I could go on right the way through here, but I'm going to stop because it gets to be a bit boring after a while.

我可以就这样一直算下去,但是还是到此为止吧,因为再这样下去会很无聊

耶鲁公开课 - 博弈论课程节选

Compound that 13.4% over ten years and there's just an enormous gap between those mutual fund numbers that are in the prospectus and in the advertisement--the time-weighted returns and the dollar-weighted returns that talk about the actual experience of the investment community.

按13.4%复利算一下10年期的结果,你会发现在招股说明书和广告里给出的,用来反映投资机构实际业绩水平的,时间加权回报率,和货币加权回报率数字之间,有着巨大的差异

耶鲁公开课 - 金融市场课程节选

All right. So let's test what we, in fact, know about the photoelectric effect, and before we do that actually, we're going to calculate what we would predict, so when we do the demo it will be meaningful and we can tell whether we're successful or not.

好的，我们来测试一些，我们实际上懂了,多少光电效应的东西，在我们做测试之前，我们先算一下我们能预知什么，这样我们做的测试会很有意义,并且也知道我们是否成功了。

麻省理工公开课 - 化学原理课程节选

You figured out how much work they're going to contribute.

你能算出来他们会投入多少工作量

耶鲁公开课 - 博弈论课程节选

You add the two, you get 10 = 5a and you get a = 2.

把两个方程相加,你就会得到 10 = 5a 算出 a = 2

耶鲁公开课 - 基础物理课程节选

How would we go about, I mean I don't want to do it because I'll probably get it wrong, but if I wanted to solve out for this X and the Y, since this is a QR class, let's just talk about it a second.

我们怎么解呢,我的意思是我现在不会去计算,因为我可能会算错,但是如果你真的很想解出X和Y的值,介于这是一节需要快速反应的课,那我们花些时间来探讨一下吧

耶鲁公开课 - 博弈论课程节选

And I can solve them, and if I solve them out, I'm going to get something like, let me just be careful, I'm going to get something like: 1 minus B S1* is equal to 1, or S1* equals S2* is equal to 1 over .

我们都会解这个方程,如果解完方程,我们会得到,我得仔细点别算错,我们会得到,1-BS1*=1,或S1*=S2*=1/

耶鲁公开课 - 博弈论课程节选

Roughly speaking, a sixth of the class are going to end up with A's, a sixth are going to end up with A-, a sixth are going to end up with B+, a sixth are going to end up with B, a sixth are going to end up with B-, and the remaining sixth, if I added that up right, are going to end up with what I guess we're now calling the presidential grade, is that right?

总体来说,六分之一的人会得到A,六分之一的人会得到A-,六分之一的人会得到B+,六分之一的人会得到B,六分之一的人会得到B-,剩下的六分之一,如果我没算错,这些人将会得到,传说中的"超优"成绩

耶鲁公开课 - 博弈论课程节选