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There's no classical analogy that explains oh, this is what you can kind of picture when you picture a wave function.
可以解释：,哦，这就是，你想象的,波函数的样子啊。
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Come on, you know, representing sets of integers, this is pretty dumb. Suppose I want to have a set of characters. How could I do that?
你知道的，表示整数的集合,这好傻啊,假设我有一组字母的集合？
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For any one of those, we could again run an argument where we say, "Look, here is something that needs explaining.
对于以上任意一个,我们都能再次提出一个论证,看啊,这里有某个东西需要解释
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For instance, if I wanted to change the sound that the cat is making, my God, now I have to change it on three places but like 30 places if all I've done is copy and paste.
举个例子，假如你想,改变猫的叫声，我的天啊，你现在必须改变三个地方,但是，我做了30多次复制和粘贴。
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So, if there is one section of the lecture that I went a little too quickly for, you could say, gee, if I could just see that five minutes, you could click on it, zoom into that five minutes, play it a few times, and then say, I still don't know what he's talking about.
所以，如果有那节课,我上得过快，你可以说，天啊，我多希望我能看到那5分钟，你就能点击它，选择那五分钟，播放几次，然后说，我还是不知道他在说什么。
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Nobody says that.What they say is, "Oh please, we need you Achilles,you must not do this."
没人这么说,他们说的是,"噢,求求你,我们需要你,阿喀琉斯,你可一定得去参战啊"
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How sweet it is. Okay So that's sweet-sounding homophonic texture, mostly just chords. Thanks, Lynda.
多甜美啊,好,这就是甜美的主音织体,大多数只是和弦,谢谢,琳达
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John Kennedy is also very good ? I'm not going back that far. -Well?
约翰·肯尼迪做得也不错啊,扯那么远干嘛，-不行吗？
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The competent person who blunders, this is the person that I love.
有能力的人，偶尔出丑，大爱啊。
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So with that said, perhaps just to add to that, the fourth passage: "Beauty is the form of the purposiveness of an object so far as it is perceived in it without any representation of a purpose."
所以据上所述，啊，再加一点，现在看，第四篇文章：，“美是事物存在的目的,尽管这种合目的性并不是显而易见的，你可能要问了“
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He says in The Bridge, he asks the bridge to lend a myth to God, and he suggests that this is something that every age must do because our names for God are always metaphors, poems, something imagined, acts of speech.
他在《桥》中写道，他请求大桥借与上帝一个神话，他暗示到有些事情是每个年纪的人都必须做的,因为我们给予上帝的名总是一些隐喻啊诗歌啊，一些想象的事物，对言辞的表演。
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So leadership is kind of a big word that you see written probably too often these days, in too many newspaper articles, and it probably comes up in too many Yale classes, and I don't claim to know anything about leadership.
领导力这个大词,最近一直都很火啊,我们经常能在报章中看到它,在耶鲁大学的课堂里也能经常听到,我不敢说对领导力有多么深刻的见解
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If I come into this code, I'm going to check this branch first, if it's not true, ah, there's a return at the end of that branch. If it is true, I do that, and then I've got a second test. If it's true, return I return, otherwise a return.
但是如果我们看看这里,如果我看这段程序,我会先检查这一部分，如果它是假的，啊，这部分分支结尾有一个。
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And I point to the locomotive when I say wow, look how long that train is.
然后我指着火车头说,哇，火车多长啊。
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But right opposite that magnificent site, the golden horn is there.
就是在那块宝地对面,金角湾就在那啊
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Knowing that, I'm going to say, OK, how many pigs are there, well that's just how we're, however many I had total, minus that amount, and then I can see, how many legs does that give, and then I can check, that the number of legs that I would get for that solution, is it even equal to the number of legs I started with, ah! Interesting. A return.
它将给我返回头的总数，知道了这些之后我可以说好了,有多少猪呢，无论有多少组鸡的数目，我只要用总数减去那个值,之后我就可以知道一共有多少条腿,然后再把这个值和题目中的腿数相比较，看它是否等于一开始的腿数,啊！真有趣，有一个返回值。
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So given that we only have one five dollar bill does there have to be one unique winner, and if so, how is that determined if we have multiple people who are That's a good question. If there's multiple winners, we'll divide it but we'll make sure everyone has a positive winning.
现在那里只有一张5美元钞票,是不是说只有唯一的赢家啊,要是这样,怎么确定谁是赢家,好的,要是有多个赢家,我们会平分奖金的
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If we accept compatibilism, we'll be able to say, "Look, maybe we have free will and determinism is true of us; but for all that, we're still just purely physical systems."
如果我们接受相容主义,我们就能说,看啊,或许我们拥有自由意志,而决定论也适用于我们,但尽管如此,我们仍旧只是纯粹的物理系统
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So what's nice if you configure your command line environment appropriately is that things that are so-called executable, programs that you wrote like a.out happened to show up as green.
只要合理设置一下命令行环境,就可以看到，这些所谓的，执行文件,譬如a，out啊等，都会变成绿色。
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Yeah. You're jumping slightly ahead of me, but basically, I'm done when this is equal to 1 right? Because I get down to the base case, so I'm done when b u is over 2 to the k is equal to 1, and you're absolutely right, that's when k is log base 2 of b.
因为这就是最基本的情况了，因此当b/2的k次方等于1的时候就停止了1,你说的太对了，就是k等于b的以2为底的对数的时候,你们都坐的挺靠后的啊，我不知道是不是我讲的不太明白？
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In that parable, the hero is not Tony in fact but a character with whom you are familiar if you're familiar with South Park, and that character is of course the one who says, "] and I am on my way.
在这个寓言中，主角不是托尼,而是那个说“他推啊推啊“的角色，如果你看过南方公园这部动画片，肯定会很熟悉]，“He，pushes，and，pushes…,我可以继续上路了。
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So, if you're woken up during slow-wave sleep you're going to be thinking "Did I take the-- yes, while I was dreaming I was thinking about the garbage," but if you're woken up during REM, "But a monkey was eating my grandmother," and that sort of thing. So, there is a distinction.
在慢波睡眠中醒过来,你会想“我倒垃圾了吗？,原来我睡觉是想着倒垃圾了”,但如果你在REM睡眠中醒过来，“天啊，有只猴子在吃我奶奶”,这就是真正的梦和半睡半醒的想法之间的区别。
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