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He found a distribution. And, if you look more closely at the distribution, here is what he found.
他发现了分布，如果你仔细观察电荷分布的话，这就是他发现的。
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But when you look at the bill, it is very expensive and you can't afford to pay that.
但当你看见账单时，你才发现这太贵了，你负担不起。
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bug This is an easy bug to come up with. But imagine, if you don't do the test, you're going to get answers that don't make any sense.
这是一个容易发现的，但是想象下，如果你没做测试的话,你会得到没有意义的答案，实际上。
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And if you study this photo, you can see the qualities of a man struggling with alcoholism.
如果你研究过这张照片，你会发现一个和酒精做着斗争的人的特性。
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You find it in datable places and that's why we can give this some kind of date, such as in Egypt.
你会发现它属于一个可确定年代的地区,这正是可甄别此文明所属年代的原因,例如在埃及
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If you look really carefully, you could find it was not a single line but two lines, and Bohr is silent on such matters.
如果你仔细观察的话，会发现这是两条谱线而非一条，对这一研究，波尔不得不沉默。
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But that makes no sense at all given that you don't want to "Bring home to Mama."
但你听到你不想"带回家给妈妈"的歌词,你会发现这完全说不通
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If you look at the history of engines there are discrete advances when people were able to apply the theory more and more.
如果你去回顾一下引擎的发展史,就会发现在这进程中的取得的各种突破,都源于对理论更加充分的应用
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At least you maybe finding that and if not when you look back at the code you then have written you'll realize that in fact it just requires a few lines of code.
至少你会发现这一点，不然的话，在你写完代码，返回去,看的时候你会意识到,实际上它只需要几行代码。
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So if you find yourself getting most of these answers correct, then don't take this course.
因此如果你发现你能够答对大部分问题,那么就没必要上这门课了
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Trans fats are in a great many foods and if you start looking carefully at food labels you'll see how many foods have Trans fats.
很多很多食物都含有反式脂肪,你仔细看看食物标签就会发现这一点
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In fact, I don't quite know what he is saying" and struggled more than you're expected to because you anticipated what I've just been saying about the setting and about the role of Foucault and all the rest of it, and were possibly more confused than you might have expected to be.
事实上，我也不太清楚他在说什么“,然后你发现这比预想的更难理解,因为你预想了我给你们设置的背景,以及福柯和其他人的角色，然后可能会发现比自己预想的更困惑。
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Do you realize that this is a pair of simultaneous equations in which you can solve for these two unknowns, if you like, in terms of these two knowns and these coefficients, which are like these numbers, 3, 2, 4, and 6?
你们是否发现这其实就是一个方程组,你可以用它来解出这两个未知量,你愿意的话,可以用这两个已知量,和这些系数,比如这些数字,3,2,4和6
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But still, in a way it's kind of like a good thing because you are going to find out more stuff about them,
但是，从某个角度来看，这仍然是件好事，因为你将发现更多关于他们的东西，
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So you don't want to put in a negative energy, that's not going to help you out, you need to put in positive energy to get an electron out of the system. So that's why you'll find binding energies are always negative, and ionization energies are always going to be positive, or you could look at the equation and see it from there as well.
因为这对电离没有帮助,你需要一个正的能量,使得电子脱离这个系统,这就是为什么你会发现,结合能总是负的而电离能总是正的,或者你们看这个方程也可以发现这一点。
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I think you'll find this useful and relating to the world in any kind of situations.
你会发现这类句型特别有用，能够在任何场合中派上用场。
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That's a choice, and that choice turns out to be very interesting and really important, because if you connect these two points together, you get a straight line that has to intercept the x-axis at some point.
在这一选择下,我们会发现一件非常有趣，而且极其重要的事,当你把这两点用直线连接起来，你会发现这条直线,将与x轴在某点相交。
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and also food and shops. That's sort of what you get here.
还有食物和商店。这就是你在这儿可以发现的东西。
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And you can use it to debug other complex systems. So for example, a laboratory experience.
你会发现这是一个通用的技能,你可以用它来调试。
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And so if you know what patterns of zeroes and ones to look for as you will yourselves this year in that forensics problem set, can you recover a lot of that data?
如果你知道如何去发现,这些0和1的排列规则,这也是套题中的问题，你就能恢复把这些大量数据恢复？
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You can square this guy and add it to the square of this guy and you will find, using the magic of trigonometry, that this is true.
你可以把这两个式子平方相加,再用一下三角函数的性质,你会发现这是正确的
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We're just going to listen and see if anything strikes you as interesting.
听这一片段的任务是看看你能不能发现什么有趣的东西。
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Well, one of the greatest philosophers I ever read was Aristotle and I think his Nicomachean Ethics, if you read it, makes a great deal of sense -where you live with this golden mean but at the end use your intellect.
我所了解的哲学家之一是,亚里士多德，我觉得他写的《尼各马克伦理学》,非常有意义，如果你读一读的话你就会发现这一点,-在读这本书时你与他的中庸之道同在,但最终你还需动用你的智慧。
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Now, So, you have these maps in your head but the thing to realize is— And these maps are part of your cortex, but the things to realize is that's an important part of what goes on in your brain but less than one quarter of the cortex contains these maps or projection areas.
你的脑袋里存在着这些定位图,但你们会发现,这些定位图是你大脑皮层的一部分,但你们会发现,这是在你的大脑活动中,起到重要作用的一部分大脑皮层,不过只有不到四分之一的大脑皮层,存在这些定位图或是投射区
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So who the sender is, so maybe you could keep track of just who your most frequent correspondents are and if you keep seeing the same personfrom person X or person Y coming into your inbox and clearlyI like having a dialog with these people or have to for work, that might in fact bubble up in your inbox.
谁是发送者，你可能会保留最近跟你联系最频繁的人,如果你发现某某人频繁发送邮件给你,这说明你喜欢和这些人保持联系,可能因工作的原因必须保持联系,那么该邮件就有可能，上升到你邮件的最上方。
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You can very quickly drive yourself nuts by sitting down, thinking, oh, I can write this program, no sweat, and then you write it and then there's a tiny little mistake here, but then there's a tiny little mistake here and here, and all of these stupid little things cascade until you try running your program, and the thing just doesn't work.
如果你只是仅仅干坐着，不费吹灰之力，凭空幻想着我可以把这个项目搞定，你会想地发疯的，也许你会写出一点东西出来，可能会有一点点错误,紧接着这或那又出现一点小错误，这些小错误一点一点地堆积了起来,直到你开始运行你整个项目，你会发现这堆东西根本就不工作。
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So that's what we are going to focus on, and you will find out that the laws of physics for this entire semester certainly can be written on one of those blackboards or even half of those blackboards.
这就是我们的课程重点,而且你将来会发现,整个学期的全部物理定律,最多也只能写满一块黑板,或者半块黑板
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So, these are two different definitions of how to think about atomic radius, but really what you find when these are measured is they come up with almost the identical values, so there are tables, you can look up of atomic radii and see these values, and you can trust them that, they work for both this definition and for this definition here, in most cases.
这就是,关于原子半径的两种不同的定义，但实际上你会发现按照这两种方法,测量出的值是相等的，因此有很多关于原子半径的表格，你可以通过查阅它找到这些值，你可以相信这些值，它们对于这两种定义都是适用的，在大多数情况下。
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I mean, you can see it's very lovely here.
你可以发现这是个非常可爱的地方。
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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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