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Just remembering that violet is the end that actually has the shortest wavelength, which means that it also has, of course the highest frequency.
就知道了，所以这应该,不是问题，记住紫色光，最后一个，它的波长最短,也就意味着它的频率最高。
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So what you have is you have maybe 20%, I think, 20% of the entire American population
所以我认为也就20%的美国人口
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If the stock went up yesterday, it's more likely to go up today, than if it didn't go up yesterday.
如果股票昨天涨了，今天涨的可能性也就更大，如果昨天没涨今天也不大可能会涨。
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So they were quite amused that it was a woman that was speaking to them and telling them about how hard life was, doing that kind of work.
而之后却惊奇地发现,跟他们交谈的是个女人,这让孩子们感到很有趣，也就对这些工作越来越感兴趣。
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Cities like Gdansk, which we tend to forget about, unfortunately, which is a very important port then and still now.
像格达斯克这样的城市,也就渐渐淡出了人们的视野,而其实,它在当时和现在都仍是,非常重要的港口
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I guess they're elected officials and their voters are not finance theorists and don't think of this in these terms.
我想这是因为他们是当选的官员,而投票的不是金融学家,也就不会用金融术语思考和表达。
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And what this means is that any theory of language use and language comprehension cannot simply appeal to a list.
这也就意味着,任何语言使用和语言理解的理论,都无法列出一份句子的清单
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If they tried to notate it, again it would take all the spirit out all the heart out of the music.
如果有人试图去记录下来,那也就剥夺了这段音乐所有的神韵,取走了这曲子的灵魂
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In the investment game, the more likely I was to invest, the more likely you, the more you wanted to invest.
在投资博弈中我投资的概率越大,你们也就越想要投资
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All of those who were conquered are put to the ban or the herem that's the sacred devotion of objects and persons to God, which entailed killing them, so they were utterly destroyed.
那些被虏获的人都被禁止,那是为上帝敬献的物品或者人，也就意味着杀了他们，因此他们完全被毁灭。
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We can know this information even if we just knew that the bond was stronger, we wouldn't need to look at a graph here, because it turns out that if you have a stronger bond, -- that also means that you have a shorter bond -- those two are correlated.
我们依然可以得到上面的信息,即使我们所知道仅仅是这个键更强，我们不需要去看这个图，因为事实上如果你有一个更强的键，这也就意味着你有一个更短的键-,这两点是互相关联的。
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If the person is the pair and the pair no longer exists, the person no longer exists.
如果人是这一对儿,而这对儿已经不复存在,那这人也就不存在了
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The immediate war was over, that really was what the cultural wars were about.
紧迫感没有了，当时的文化论战也就告一段落了。
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Alright, so I mean, retention has been up recently because of the photos.
所以，自从相册上线后,回访率也就上升了。
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Otherwise, you're wasting a bit, so to speak, unnecessarily.
否则，你就浪费了一个比特位，也就多余了。
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I don't think it's inconceivable he's also justifying colonization as well.
也就不难想像他会为殖民化辩护。
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So the environment has changed in a short time but evolution has not and there's a real mismatch now, which explains why you probably like Haagen-Dazs better than you like cauliflower.
所以食品环境在短时间内就能改变,但是进化不能 于是就有了错位,这也就能解释为什么哈根达斯,比菜花更受欢迎
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I mean, isn't it somewhat inefficient to load it really deep, because I assume if a spear is only six feet long, what are people in the back going to be doing?
我觉得,过于厚实的方阵会影响效率,据我所知,长矛也就六尺来长,那站在方阵后方的战士都在干什么呢
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And so, there aren't as many students, and you get to know people better.
所以，耶鲁大学的学生不是太多，你对周围的人也就更了解一些。
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It's to admit that this is in fact a late epic and that it derives from a close, studious, student-like imitation of the great epics of Homer and Virgil.
也就等于承认它事实上是一部晚期的史诗作品,是源自于雷同的，学究气的，小学生般的,对荷马与维吉尔写的伟大史诗的模仿。
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And I haven't said yet, how do I get that collection, but you could certainly conceptualize that, if I had that collection, that would be nice thing to do. That is a more common pattern.
也可以这么来操作,这是个更常用的模式,这基本上也就意味着，对于某些数据的集合,我想要一个循环机制。
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So, it was easy for me to get excited of doing this with them.
所以我也就很容易对,与他们一起做感到兴奋。
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Let's flip back a step beyond that to Mycenaean civilization for the purpose of noting the great contrast, the great change.
让我们跳回到迈锡尼时代,比较看看两者间巨大的差异,也就可以明白希腊的巨大进步了
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Now, this is a large class, and if you don't do anything about it, it can be very anonymous.
这是一门大班课程,如果你并不打算和周围人相互介绍的话,也就不会有什么人能够认识你了
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It's illegal, so they can't sign that as a contract, but they they can just agree to do it.
因为是违法的,合同也就无效了,不过他们可以私下达成默契
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Not only are we taking away an electron here, but we're also going to decrease shielding, so the electrons that are already in there are going to feel a higher z effective and will be pulling and the atom will be getting smaller.
这不只是因为我们拿走了一个电子，还因为我们这样做会减小屏蔽效应，这样留下的电子,将会感受到更大的有效核电量,也就会感受到更强的吸引力，使得原子变得更小。
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And the question is, what do we want to count? Now, one possibility is to do best case.
问题是，我们应该针对哪种状况？,一种可能性是针对最好的情况，也就说在所有可能的输入里面。
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That Joseph, a Semitic foreigner, could be elevated to an important post, the post of governor, is a little less surprising, if we suppose there was a Semitic regime.
约瑟夫，外来闪族，可能被提拨到高位，统治者的位置，这也就不那么令人惊奇了，如果我们假设当时有一个闪族王国。
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If our estimates are off then the hypothesis makes no sense, so maybe there's no relationship between dietary fat and breast cancer.
如果评估是无关联的,那这个假说也就没有意义,那么在膳食脂肪和乳腺癌之间,也许没有任何关系
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Then I want to talk about options markets-- this is getting close to the end of the course.
接下来的内容将会是期权市场,讲到这里课程也就接近尾声了
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