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And we saw that in fact in this case delta S of mixing, we calculated it, saw that it is positive.
实际上如果我们计算气体混合过程中,熵的变化，我们会发现这个量是正的。
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So, Columbus gets the glory of discovering America but it's up to debate if he actually did discover it.
所以，哥伦布获得了发现美洲的殊荣，但对于这个问题，人们仍然争论不休。
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So this is important, it's a little bit subtle, but if you don't really understand this deeply, you'll find yourself getting confused a lot.
但你如果没有挺深刻的理解，这件事的话，你会发现自己在这个问题上很困惑。
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If you put your fingers between the plastic opening at the bottom, and here's where you gotta watch out for the spring, pull the thing apart and that's it.
如果你把手指放到,底部的缝隙中间，这里你需要小心，你剥开就会发现这个了。
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Music gravitates around a home pitch and in the Beethoven Fifth symphony we still haven't gotten the home pitch.
音乐的音高一般会围绕着主音高浮动,在贝多芬的第五交响乐中 ,我们还没发现这个主音高
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And when we do that we can see this curve, this probability curve, where we have a maximum probability of finding the electron this far away from the nucleus.
当我们这样做时，我们可以看到这个曲线，这个概率分布曲线，这里有发现,电子的最大概率。
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But when you look a little more closely at this conclusion, I think you realize that Milton's heaven is almost as invested in the human body as Milton's earth had been.
但如果仔细看这个结尾，就会发现弥尔顿的天堂其实和他的人间一样,都是为人的肉体服务的。
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One of the wonderful things you can see in the Beinecke's Richard Wright Archives is the draft copies of Black Boy.
在Beinecket图书馆的怀特档案中,可以发现《黑孩子》的草稿,这个形象怀特在草稿里。
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So, my danger when I came to what I called the "crossroads" of inheritance and this discovery was not a danger of Muslim extremism.
因而，当我遇到危险，即我所谓的,继承传统的十字路口和发现另一个美国时,这个危险并非穆斯林极端主义的危险。
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Well, I don't know. It seems to me that literary influence is not at all unlike sort of speaking or writing in the wake of a founder of discursivity, but we can let that pass.
我不知道，我觉得,文学的影响力和演讲和写作的影响力还是有相似之处的,尤其是在散漫性被发现之后，但是我们可以不谈这个。
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So what we've discovered from this relationship dq that du at constant volume is equal to dq v.
从这个关系式里我们发现,恒体积时的du等于恒体积时的。
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So, to some extent, this rounds out Freud because to some extent the particulars of Freud are-- for the most part have been rejected.
所以，在某种程度上，这个发现完善了弗洛伊德的理论,因为从某种程度上来说,弗洛伊德理论的大部分内容是遭到驳斥的。
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In particular, we find that prices in the market are equal to marginal cost.
特别是,我们发现这个市场下的价格等于边际成本
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Redleaf was able to figure out who was going to get hit for the backdating scandal before other people did and then that was an advantage.
莱德利夫可以在其他人之前,找出谁将在这个倒签丑闻中被调查,他抢先一步发现问题,这是他的优势
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A few years earlier he had also gotten this law.
他实际上几年前已经发现了这个定律
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What he found 20 years later, early 90s when this study ended was these students were extremely successful, Or ex-students were extremely successful, students were extremely successful, very wealthy, having a lot of impact, whether it's on the organizations, on the community.
0年后，90年代初当这个研究结束时，他发现这些学生都极其成功，以前的学生都极其成功，学生们都极其成功，非常有钱，有很大的影响力，不论是在组织上，还是社会上。
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Or a painting may strike you in a completely different way that you didn't even see in the first time.
或者一幅画以完全不同的方式给你留下另一种印象，而这个你第一次看的时候甚至没有发现。
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So I think you will find it useful to use this phrase for expressing yourself in many conversations.
你会发现，在许多对话中，这个句型能恰当地帮你表达自己的意思。
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The writer observes that survival is a difficult endeavor and that the world can sometimes seem harshly hostile.
作者发现，人类需要通过努力而生存,但这个世界往往是非常残酷的。
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But what this study found was people were asked to estimate how much food they were consuming and how many calories they were burning through physical activity.
但是这个研究发现,当人们被要求估测,他们吃了多少食物,通过体育运动消耗多少卡路里时
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But if you set out trying to implement this whole story line at once, if you set out trying to implement a cookie love story, it's just not gonna fly.
但是如果你一开始就想一次啃掉整块蛋糕,譬如你一开始就想,完成这个饼干人的爱情故事，你会发现这是行不通的。
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All right. I tried it on 2, I surely didn't expect a precise and exact answer to that but I got something, and if you square this, you'll find the answer kept pretty darn close to 2.
好，我试试求2的平方根,我当然不希望得到一个完全准确的答案了,但是我得到了一个近似值，试试将这个数平方一下,你会发现结果和2相当接近。
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Now for the hacker edition, if you are feeling up to a bit more of a challenge you'll find that when you run the game, one it's not all that hard to use some ASCII art just make it a little fancier as the teaching fellow who implemented this solution did.
对于升级版，如果你能应付更大的,挑战，你会发现当你在玩这个游戏时，用一些字符画把它做得,比那些教学人员做的更有新意,并不是那么困难。
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And the finding is that people based on thin slices are quite good at detecting sexual orientation.
结果发现,人们只需看一眼这个录像,就能很准确地判定你的性取向。
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if we have a very electronegative atom within a certain molecule, what you'll actually find is that it does affect how the molecule is going to take place or take part in different chemical or biological reactions.
如果在某个分子中有一个电负性很高的原子，你会发现它确实会影响到,这个分子所起的作用,在不同的化学反应或者生物反应中时。
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I did not want to make a list, I wanted to create a tuple thank you for catching it. I want parens not square brackets there.
为什么这里有错误了，我并不想要创建,一个列表，我想创建一个元组，谢谢你,发现了这个错误。
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Somebody else owned them, and discovered them, and demanded that they get paid, and ended up negotiating with the company, and we got a kicker.
其他人买了这些债券，发现了这个问题，然后要求偿付，到最后以和公司协商了事，然后我们得到了一个促销品。
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is always better than 1, but we can see more than that in the pattern.
立场2永远优于立场1,除了这个应该还有其他发现
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Where do you see those? I'll leave that as a question for you.
你们在哪发现了，我把这个问题留给你们去思考。
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OK, enough for really great discoveries.
好，讨论完了这个伟大的发现。
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