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And my plan was going along fine until something happened, and what happened was that chemistry was just way more interesting than I anticipated.
但我觉得最好在第一学期就把化学课选了,所以我就这么干了,我的计划一直都很顺利,直到我发现化学比我想象中的要有趣的多。
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And then eventually, I found I was pretty good at it and started, you know, writing to coaches,
然后最终，我发现我打得挺好，就开始给教练写信，
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I realize I've given you some difficult mathematics, but--it's not that difficult actually-- but I kind of went through it quickly.
我发现我给了你们一些比较难的数学公式，不过，并不是想象的那么难-,我很快就把它们讲完了。
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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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But middle way through my first year in law school, I just felt like it wasn't something I would really be able to do.
但是在我学习法律的那一年期间，我就发现,这不是我真正想做的。
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The idea being if I find a pattern across multiple people's computers maybe all of those people are infected with the same kind of malware or virus or worm.
如果我从不同人的计算机中发现了一个模型,这就说明,所有那些人的计算机都感染了相同的,恶意软件，病毒或蠕虫。
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Whereas the--if I take the rhythm out of the Ninth Symphony really Beethoven there is just going up and down a scale so it's very conjunct.
无论哪里,如果我将第九交响曲的,节奏单挑出来,你就会发现贝多芬这里,仅仅是一个个升或降的音阶,这是级进的典型例子
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I became so obsessed with it that we drove up there so I could visit every school at which she had taught, and we actually found somebody who-- we knew he wouldn't like her because he was sweeping out the church, he worked for one of the churches, and she was very anti-clerical.
我实在太着迷于是就开车去了那,这样我就能去看她教过的每所学校,而且我们真发现一个人,我们知道他肯定不喜欢她,因为他当时正在打扫教堂,他在教堂工作,而她是反教会的
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And if those people, if you're interested in that and I realize at this point I probably lost the interest of most Americans in the room, but for the non-Americans in the room, the people who are interested in the real world as I said before, I'll put that article online and that goes through all the gory detail of this.
如果你们对足球感兴趣的话,我发现,大多数美国的同学对此毫无兴趣,但是那些美国以外的同学,如果你们对现实中的足球比赛很感兴趣,就像我之前说的,我会把文章的详细内容发布到网站上
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PROFESSOR: As you can probably tell from Moungi the volume of my voice, I'm not Moungi.
从我的声音你们应该,就能发现我不是。
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So, Lewis structures are really a model for a way to think about what the valence electron configuration is, and as I said, it's not based on quantum mechanics, it's something that Lewis observed far, far before quantum mechanics were discovered.
路易斯结构实际上是一个用来考虑价,电子排布的模型，而就像我说的，它并不以量子力学为基础，而是路易斯在以前发现的,在量子力学出现很早前。
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I've found some people really have to come to the first and second row because they claim that if they don't hear me they cannot really go to sleep.
我发现有些人必须得在第一,二排睡觉,因为他们说如果听不到我的声音,他们就无法入睡
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And now "Get Crunk," as I was aware from having heard it before, involves the consistent refrain of "Get crunk" Extremely bad word, "Get crunk" Extremely bad word, and so I said "No."
我之前在听"玩旷课乐吧"时就发现,这首歌的副歌部分包含了,连续的不和谐歌词,因此我说"不行"
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Quite a few things that I've noticed while being out here.
我到这儿的时候就发现有很多不同。
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If the recitation instructor feels that there was an oversight then the recitation instructor will recommend that you come and see me and I will change the grade.
如果导师发现,有什么的话导师然后就会,通知你叫你来,我这我会更正你的成绩。
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This will probably come as a surprise to some of you that Aristotle discovered America but I will get to that in a minute.
这也许,对某些同学而言是个惊奇,亚里士多德竟然发现美国,但我马上就会加以解译。
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Shortly after I came here to Yale, and I started realizing that people thought I was a harder grader than most other Yale professors, I called the administration and asked, ?" "Do you have this sort of information?"
我刚来耶鲁没几天，就发现人们认为,我在评分上比大部分其他耶鲁教授更严格，我打电话问管理处，“你们是不是有这方面的信息“
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and I think that's found in San Francisco.
我认为在旧金山就可以发现这些。
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It doesn't mean anything until you know how many shares are outstanding because if I own one thousand shares and then you look it up and find out how many shares are outstanding-- there are one thousand-- you say, hey I own the whole company.
这毫无意义,除非你知道总共发行的股票数量,如果你有十手股票,但后来发现,总共发行的股票数量,就是一千股,你就可以说,整个公司都是我的
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bug If you find a bug, it probably means there bug are more of them. So you ought to be bug a little bit careful. The story I've heard told is you're at somebody's house for dinner, and you're sitting at the dining room table, then you hear a .
对不对？你得修复这个,如果你发现了一个,可能就意味着还有更多的,因此你应该小心点，我听说的一个故事，是当你在别人家吃饭的时候，你坐在餐桌上呢，然后听到了邦的一声响。
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It's as though I've walked across the stage like this realized, damn, it was the guy over here or rather I found the smallest element here who beat out number 2 over here so I can now put number 1 into place and recall that it didn't matte if I punted whoever was standing here 'cause they were given to me randomly anyway.
这就像是我这样走过讲台,然后才发现要找的人在那儿,或者说发现了最小的元素,那么就可以将1号放在正确的位置,而在这儿的是谁并不重要,因为他们本身就是,随机的。
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You begin to realize that all of these big seemingly complicated pieces of software in websites that you use, if you just hone in on little pieces of them at a time and you realize oh I can do that and oh I can do that.
你开始意识到,你所登陆的网站上这些大而复杂的软件,如果你只对其中的一小块代码进行研究,你就会发现,哦，我也可以来做这个。
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You always want to check your signs at the and because it's so easy to get the sign wrong, and I was hoping that it was right here because I wasn't sure, but it turned out to be right.
我们完成计算时，一定要记得检查符号,因为很容易弄错符号，刚才我就不太确定,是否弄错了符号，检查发现没有问题。
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I find that every time we do our meditation on Thursday, I'm always running to make it, or something happened before I get there, I'm like "Oh my God, meditation!"
我发现每次我们周四,要冥想时，我总是匆匆赶过去，或者是到达之前发生一点事故，我就好像“天哪，要冥想！“
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And by just doing that, bug I just spotted, there's a bug here.
我刚刚这么做了，就发现了有一个。
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And so very often I would find myself with gigabytes worth of data, at night I needed to analyze this data and look for this patterns and frankly the reality was sometimes I could spend 10-15 minutes whipping up a little script, a little program that unfortunately would take eight hours or more to run.
我经常会发现十亿字节的数据,晚上我就需要分析这些数据并,找出模型，坦白说，有时,我会花10-15分钟来编写一个小脚本，一个小程序,但不幸的是，运行它可能需要8个小时或更多时间。
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And so when you start to poke around the puzzle pieces, you see that it can say things, we'll see movement in just a moment and sound and so forth, but at the end of the day, this is just like the program we used a moment ago for the sock exercise where we just hold Philip a step after step after step, do this, do this, do that, and yet, here too, we already see an opportunity for that thing we called the loop.
如果你认真看下这些拼图，你会发现它都是一些移动，并发出声音的功能块,就像我刚才的,练习程序一样,我们让飞利浦做这个动作，做那个动作，跟这里的情况一样，我们已经看到了称为循环的东西。
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In fact, I dug up this from a few years ago it was actually pretty fortuitous like the day before one of CS50s lectures the original iPhone was cracked.
实际上，我在几年前,发现了这个，这是相当意外的,就像在一个CS50演讲前一天,我的iPhone，坏掉了。
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Conversely, if you get an answer and it doesn't seem to make sense, then you've got to go back and ask, am I violating some of the assumptions, and here you will find the assumption that the particle had that acceleration a is true as long it's freely falling under gravity but not when you hit the ground.
反过来说,如果你得到一个结果,发现似乎是错的,那么你就应该回过头来问问自己,我是不是违反某些前提了,这个模型中,你就发现,只要质点在重力作用下自由下落,质点具有加速度a的前提是正确的,但是落地后就不成立了
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