This is something that you're going to prove in statistical mechanics, and so we're not going to worry about where this comes from.

我们会在统计力学中,证明这一结论，现在不需要去,操心这一结论的由来。

麻省理工公开课 - 热力学与动力学课程节选

and I enjoy, like, solving proofs or, like, solving problems, but it's only one part of like, what I do, like as a person.

做证明题或者解决问题对我来说是一种享受，但这只是我生活的一部分而已。

都是天才 - SpeakingMax英语口语达人

I wish it didn't say "exit," but it does say "exit," because that kind of weakens my point, but over many auditorium doors a red light just hangs there.

如果这些灯上没有注明出口就好了“,因为这样会削弱我要证明的观点，礼堂的门上一般会挂着一盏红灯。

耶鲁公开课 - 文学理论导论课程节选

Physiologists ran tests, showing, proving scientifically the limit of human ability was running the mile in 4 minutes.

生理学家进行实验，在科学上展示证明人类能力极限,是四分钟跑一英里。

哈佛公开课 - 幸福课课程节选

So Rituparna tries to prove to him his abilities and he says, see that tree there, I can estimate how many leaves there are on that tree by counting leaves on one branch.

所以睿都巴若那就试图证明自己的能力,他说,看那边的树,我只需数一根枝杈上的叶子,就能估算出树上叶子的总数

耶鲁公开课 - 金融市场课程节选

As I said, we've been considering different kinds of arguments for the existence of a soul, each of which appeals to some feature about us-- our creativity, our ability to feel, the fact that we have a qualitative aspect of experience, our ability to reason-- what have you.

我说过,我们考察了各种各样,证明灵魂存在的论证,每一种都诉诸我们的某种特性,我们的创造性,我们的感知能力,当然还有我们定性方面的经验,我们推理的能力,诸如此类的

耶鲁公开课 - 死亡课程节选

Cv+R=Cp Cv is equal, oh Cv plus R is equal to Cp it's a relationship that we had up here that we wanted to prove.

我们就得到了,我们一开始,想要证明的。

麻省理工公开课 - 热力学与动力学课程节选

If a tumor starts to grow and it doesn't develop a vascular supply it doesn't develop blood vessels in it, then it can't get bigger than a certain size and there's lots of evidence from many cancers showing that this is true.

如果肿瘤生长时,没有形成新的血管以维持供血,肿瘤内部也没有血管的话,它的大小将非常有限,这一结论已有许多科学成果可以证明

耶鲁公开课 - 生物医学工程探索课程节选

If I can prove that it is greater than one that means that the line is more stable than the set of ion pairs.

如果我可以证明它大于,这就表明,这一line要比这一系列离子更稳定。

麻省理工公开课 - 固态化学导论课程节选

it's now turned out that they've been doing this to all sorts of other people.

现在的事实证明，他们对其他所有人都做了这一套。

新闻社的真实事件 - SpeakingMax英语口语达人

It turns out that this space to which you'll have access throughout the year dubbed the lounge, has not only white boards and screens Xbox for teaching purposes; we may have also slipped in an Xbox, PlayStation a Wii and the PlayStation which actually does help make homework fun.

事实证明，这个你可以利用的一整年都可以使用的交流空间,也就是被称为休息室的地方,不仅有白板和教学用的屏幕,而且还有一个，一台Wii和一台,这些实际上都让写作业变得趣味无穷。

哈佛公开课 - 计算机科学课程节选

In fact, doctors proved the 4 minutes for the mile was the limit of human ability.

事实上医生证明四分钟跑一英里,是人类能力的极限。

哈佛公开课 - 幸福课课程节选

This refers to the fact that people- this sounds like something you probably already know but it has been documented by psychologists.

指的是人们...,照字面意思,可能你们已经猜到,心理学家已经证明了这一原理

耶鲁公开课 - 金融市场课程节选

And runners proved the doctors and scientists-- proved that they were right and ran the mile in two seconds and 4 minutes, one second, but no runner could run the mile in under 4 minutes, ever since the mile was actually timed-- when they started to time runs.

跑手们证明了医生和科学家…,证明了他们是对的,一英里跑四分钟两秒，四分钟一秒，但没有跑手能少于四分钟，从一英里跑计时以来-,当人们开始计时跑时。

哈佛公开课 - 幸福课课程节选

This has turned out to be a very powerful technique because it's relatively rapid.

这被证明是一项非常强大的技术,因为它相对而言更迅速

耶鲁公开课 - 生物医学工程探索课程节选

I believe the attempts to establish the existence of a soul, an immaterial object, the house of consciousness separate and distinct from the body, I think those arguments fail.

我认为,无论是试图证明,灵魂作为一种非物质的东西,而存在,还是证明心灵,这个意识的处所,独立于肉体,我认为这些论证都不成立

耶鲁公开课 - 死亡课程节选

As I say, red tends to be chosen, but then if you get lab experiments showing that that particular color of gas blue is somehow or another sort of more invasive of your consciousness than red is, then you move away from the arbitrariness of the choice of red as a color.

所以人们就倾向于选择红灯，但是如果你想用实验证明,比如说烟蓝色或者,其他任何另一种颜色比红色更加醒目，那么你就忽视了颜色选择上的任意性。

耶鲁公开课 - 文学理论导论课程节选