Even after World Cup is over, it won't be the end of the collection.

VOA: standard.2010.07.10

The power of linearity is F=k1+k2 if I come across f of x, y, z equals k1 plus k2, if it is a linear equation, I don't have to go and solve it all over again.

线性的威力是,一个方程，如果它是个线性方程，那么我就不用再去解他了。

麻省理工公开课 - 固态化学导论课程节选

So, all this language is produced because you can't ever get to that last thing; you have to keep hashing it over.

所以，这一切语言就产生了,因为你永远没法知道最后那点;,你必须一直详细讨论它。

耶鲁公开课 - 1945年后的美国小说课程节选

That is, the insurance policy doesn't just insure you against death, it also builds value over the years.

也就是说,保单不仅仅,补偿死亡带来的损失,它们还会逐年增值

耶鲁公开课 - 金融市场课程节选

Now this isn't the first time in this course that I've paused over a moment at a crossroads where you can't possibly take both paths but where it is obviously very, very difficult to make up one's mind.

现在是这个课程中第一次,在一个分叉路口停下,我们不可能同时走两条路,但是这也显然是非常难以决定的一个地方。

耶鲁公开课 - 文学理论导论课程节选

These details aren't important, it is described in your book, but the thing that is important to know is that diffusion occurs fast over short distances, but because of the physics of diffusion it occurs slowly over longer distances.

这些具体细节无关轻重,书上都有,重点是你要明白,距离越短扩散越快,由于扩散现象的物理特性,距离越长扩散越慢

耶鲁公开课 - 生物医学工程探索课程节选

James Henry Hammond starts writing in the forties and into the fifties and he takes it much further, and he writes over and over and over again that, said James Henry Hammond, is that too damn many northerners didn't understand it is the way of the world as it is, and they ought to stop talking about the world as it ought to be.

詹姆斯.亨利.哈蒙德不惑之年才开始写作,到了五十岁仍笔耕不辍,他不停地写作,不停地著书,詹姆斯·亨利·哈蒙德说道,大多数北方人不能明白,这就是世界的本原,他们应该停止有关世界本源的讨论

耶鲁公开课 - 美国内战与重建课程节选

When we look at this angular part, we see that it's always the square root of 1 over 4 pi, it doesn't matter what the angle is, it's not dependent on the angle.

当我们看这角向部分，可以看到它总是等于１除以４pai开根号，这和是什么角度没有关系，它和角度无关。

麻省理工公开课 - 化学原理课程节选

du/dV So now our du/dV, dp/dT at constant T is just T times dp/dT which is just p over T minus p, it's zero.

现在我们的恒定温度下的，等于T乘以dp/dT，在这里,等于p除以T，最后再减去p，结果是0。

麻省理工公开课 - 热力学与动力学课程节选

Actually, you can't say what the share price is because there are zero shares and they have a zero price, so the value of the price per share is zero over zero and you can't define it.

实际上你并不能确定它的股价多少,因为股数为零,其市值也为零,所以每股价值就是,零除以零,无法计算

耶鲁公开课 - 金融市场课程节选