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So it's on the elements on your left that are already known to be the lightest 'cause I did that.
现在已经知道在你们左边的元素,是最轻的，因为我已经比较过了。
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because your mind is already in that mode of bringing ideas from concept to something a little bit more concrete.
因为你的大脑已经处在能把概念转化为比较具体的实物的模式中了。
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So I'm first going to look for something that's not in the list, I'm going to see, is minus 1 in this list, so it's going to be at the far end, and if I do that in the basic case, bam.
如果我试试第一种最基本的方法,噢，一下就完成了对不对？,因为这种方法查了下第一个元素，然后发现目标数比较下，因为目标数小于第一个元素。
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If you wish to change sections, you may do so only with permission of the subject administrators because it's very important that those sections be kept at a small population.
如果你们想要改时间，你只能在课程管理主任允许,的情况下这样做,因为让课程的人数保持在比较少的水平,是很重要的。
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And because there's nothing else in the code at that point, the program should just quit naturally in a good way. Yeah?
因为在那个阶段的没有其它的代码了，这个程序将以一种比较好的方式自然地退出，请说？
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So because so much popular music and particularly rock music has those chords in root position we can track them more readily.
因为很多流行音乐尤其是摇滚乐会在原位上添加这样的和弦,这样听起来会比较悦耳。
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When you start out young-- We're unequal at birth, of course, because of our parents and the advantages we have, but relatively equal at a young age.
从你小时候开始-,当然，我们生来就是不平等的，因为我们的父母和其他的优势，但是年幼时相对比较平等。
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Now that's a tricky word for us because later in the semester we're going to be reading about something called the New Historicism, and the New Historicism actually has nothing to do with what Gadamer is ; objecting to in this form of historicism; so we will return to the New Historicism in that context.
这个词对我们来说比较具有迷惑性,因为这学期我们还会读到,新历史主义，新历史主义,与伽达默尔所反对的历史主义,没有任何关系;,那个时候我们再来讨论新历史主义。
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But I think it's better to come study here rather than stay in Spain just because of the system again.
但我觉得来到这里学习比留在西班牙好，因为这里的体制比较好。
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That's why we always talk about irreversible expansion, because it's easy to write down an irreversible expansion.
这就是我们总是,讨论不可逆膨胀的原因，因为它,比较容易描述。
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so in some sense it's safer, it avoids the 0, although I mean it's true it avoids the 0 but it also doesn't get the 5 and the 4.
某些情况下选下是比较安全的,因为他避免了0收益,我的意思是它的确避免了0收益,但选它也得不到5和4这连个最大收益
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This is a problem when you consider that books in the days were not likely to be codices as they are today, but scrolls that took up quite a lot of space.
这里有点奇怪,因为考虑到那个时期的书本,和现在我们看到的抄本不同,是比较占地方的卷轴
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Okay, first of all, because everything relies on self-report there's no machine, for the most part, that can do objective measures of this, you don't really know when people are telling you what they're eating.
好,首先,因为任何事都是建立在自觉上,大多数环节没有机器参与,这样的方式比较主观,你并不需要,人们告诉你他们所吃的是否真实
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So, the fact that you are similar to your friends at Yale might just be because you are close to your friends at Yale and people who are at Yale tend to be fairly similar to one another.
所以如果你和你在耶鲁的朋友相似,可能只是因为你们很相近,在耶鲁的学生彼此之间比较相似。
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So, one thing they did, because it was so easy to measure kinetic energy of electrons, is plot the frequency of the light against the kinetic energy of the electron that's coming off here. And in your notes and on these slides here, just for your reference, I'm just pointing out what's going to be predicted from classical physics.
他们做的其中一件事,因为测量电子动能是很容易的，就是画出光的频率,和出射电子动能之间的关系,在讲义的这里，仅仅是,为了做个比较，我要指出，经典物理所给出的预测,这个不作为对你们的要求。
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Trains are fairly new to me because I just got the job and before I got the job,
火车对我来说还比较陌生，因为我刚刚得到这份工作，而在这之前，
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You have middle dialogues where you have to worry about whose views are whose.
对中期对话作品的鉴别,就比较困难,因为你无法明确观点与人物的对应关系
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But, one of the things I'm interested in is national identity, in fact because we kind of have complex attitudes toward our own identity I suppose, me and my family.
不过有一个我感兴趣的就是国家身份,其实因为我们对于自己身份,的看法比较复杂,我和我的家庭
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I think that the camera can convey baseball better, because it's a slower moving game.
我想用摄像机记录棒球比赛比较好，因为棒球比赛的节奏比较慢。
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just because I've always done very specialized projects, and projects I've worked almost part time.
因为我做的都是比较特殊的项目，很多都是兼职。
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I thought that would be exciting because Columbia, being a smaller school,
我觉得十分激动。因为哥伦比亚的学生比较少，
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So if it went up yesterday, it will more likely go up today, because I'm throwing in a positive number, otherwise a negative number.
所以如果它昨天涨了，那么它几天张的可能性也就比较大，因为我给它的是一个正值，否则就是一个负值。
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Alright, so we can implement any number of algorithms using this thing because the basic mechanism I have here is a comparator.
好了，利用它我们可以实现,很多种算法,因为在此我用到的基本原理是一个比较器。
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I'm going to go through this rather quickly because there are other courses at Yale that will cover this more thoroughly, notably, John Geanakoplos's Econ 251.
这部分我会讲得比较快,因为耶鲁大学还有其他课程,会更详细地讲解这个部分，像是约翰·吉纳科普洛斯教授的,经济类251号课程。
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Let's compare case 2 and 3, since this where some people seem to have gotten confused.
让我们来比较一下第二和第三种情况，因为不少人好像在这里有些困惑。
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So first of all, I've got to be careful about the end test. But the second thing is, OK, if it stops whenever this is less than two, am I convinced that this will always halt?
小心最后一次比较,其次，如果少于两个元素程序停止了,我们能确信这总是应该终止的么？,答案是肯定的，因为我在做什么？
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Selection sort too really reduces to a total number of comparisons because I'm again comparing the current smallest to the next thing I see, the next thing, so really a lot of these sorting algorithms boil down to comparisons and the numbers that you actually have to make.
选择排序也可归纳为总数的比较,因为要将当前最小者与下一个进行比较,接着再下一个，可见,很多排序算法都可归结为比较,以及需要比较的次数。
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You hear about credit unions a lot because they're in your neighborhood and they're advertising for small depositors, so they're in your face, but commercial banks are actually much more important.
你们常会听到信用合作社,因为它们就在你家附近,它们还面向小额储户打广告,所以比较显眼,但商业银行其实要重要得多
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It took me seven comparisons, because I can take advantage of the fact I know I only ever have to look at the first element of each sub-list. Those are the only things I need to compare, and when I run out of one list, I just add the rest of the list in.
进行了7次对比，因为我可以利用我知道的优势：,每次只需要比较每个子列表的第一个元素,那才是我需要进行对比的内容,当一个列表的元素处理完了,只需要将另一个列表剩下的元素直接添加进去。
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And when I ran that it, I got weird results, 300 because we know that a Google priced at, say, 300, is much more likely to move by 10 points in a day than a stock that's priced at $0.50.
当运行这个程序的时我得到很奇怪的答案，因为我们知道一只谷歌的股价大概是，对一个0。5美元的股票来讲,每天改变10个点才比较正常。
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