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So if you think about the way something like, say, Mapquest works, and last week in recitation you looked at the fact that shortest path is exponential.
所以如果你想想电子地图，还有上周学的列举法,你就会发现一般最简单的方法,都是指数递增的。
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I think the best thing to go and see is a man who was found in a bog.
我想最值得去看的东西是一个在沼泽里被发现的男人。
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But to find a common denominator where we can all talk, where we don't find ourselves divided by religion or culture anymore, because we've got down something so essential.
我们所找的共通之处可以使我们彼此交流，让我们发现我们,不再被宗教与文化分隔开来，因为我们已经获得了最本质的东西。
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And then I take as many raisins as will fit in and I leave. Right? I hope almost every one of you could figure out that was the right strategy.
然后我再尽量装葡萄干,最后我离开，对吧？,我希望你们每个人都发现了这是最优策略。
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The final section of the poem presents us with the most powerful temptation that John Milton can confront, and we will find that this is a problem that continues for the rest of his writing life.
诗的最后一部分呈现给我们,弥尔顿会面对的最强有力的诱惑，我们将发现这是个,贯穿他以后写作生涯的问题。
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You've got to think about that and what it means and how were they transmitted and preserved without ; the means of technology, obviously, that we have today; and what was so exciting in the middle of the twentieth century was the discovery of the Dead Sea Scrolls.I'm sure that you've heard of them.
你们需要考虑到这点及这意味着什么,还有在没有当今我们所拥有的技术的年代,是如何传播和留传下来的;,在20世纪中期时最令人兴奋的就是发现了,死海古卷，我确定你们曾经听说过。
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I'll start with my favorite finding of all time and this is about the self.
我先从我最喜欢的研究发现开始讲,这个发现是关于自我的。
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Where else are we? Today we're going to continue the state of nature, Hobbes' most famous discovery, his most famous metaphor, his most famous concept.
我们今天讲什么呢？今天我们要继续讲,自然状态，即霍布斯最著名的发现，即他最著名的隐喻和概念。
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But we also saw it's a dangerous idea to take too literally: that sometimes this can get you to over think the problem and actually, as in that numbers game last time, the best choice, the winning choice, might not involve so many rounds.
同时我们也发现过度照本宣科也不好,有时他会导致你,对于问题的过度探究,正如我们上次玩的数字游戏,最优选择,最后获胜的答案,有时不会绕那么多弯子
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What has been found over the last 10 years and a little bit longer is the most effective way of actually dealing with a rising levels of depression in our culture, with individual depression or anxiety is actually not to that is important as well.
过去10年多时间的研究发现,处理我们不断增加的抑郁病例,个体的抑郁或焦虑，最有效方法是,这点也很重要。
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Well, realize one of the themes in this course and really one of the themes in programming and solving any problem with a machine is going to be really to just take small bites one at a time out of these problems until the end result ultimately is that you've actually bitten off a fairly large fairly interesting problem and in the aggregate, you've actually implemented something pretty sophisticated.
好吧，让我们先想一下这件事带给我们的主题,编程和解决问题的思想,一台机器最开始只会一步一个脚印,沿着要解决的问题向前迈进,直到最终的结果出来,最后你会发现，你已经解决了一个相当大,相当有趣的问题，而这个问题在最初看起来确是相当复杂的。
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Where do we see the most compelling next generation ideas?
我们在哪里能发现最吸引人的下一代观点？
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What we find is that the states who are doing most of the colonizing are located where most of the trade was going on at this point in history, and also most of the manufacturing.
我们发现,殖民行为最多的地区,地处当时贸易最频繁的区域,同时,那里也是制造业最发达的地方
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What I found is the most important thing is to something get out
我发现最重要的就是出来
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So what actually turns out the reality is that h e 2 does exist, but it exists as the weakest chemical bond known, and it wasn't, in fact, even found to exist until 1993, so I can assure you this is not a bond that you see very often in nature, and it is a very, very weak bond.
实际上He2键是存在的，但它是目前所知的最弱的键，直到1993年它才被发现，所以我可以向你们保证在,自然界你们不可能经常看到它，它是种非常非常弱得键。
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And I'll also remind you, and we're going to see this in the next example, we talked about looking at the worst case behavior. In these cases there's no best case worst case, it's just doing one computation.
我还要提醒大家的就是，我们也会在下一个例子里发现者一点，我们谈到了要去考虑最坏的情况,在下面这些例子里,没有好情况坏情况之分，就只是一次运算。
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He's one of the most famous scholars ever but he's not known for any single discovery.
他也是史上最著名的学者之一,但他不是因为某一项发现而名扬四海。
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Merritt Hughes usefully notes this in one of the notes at the bottom of the page, that Milton in that line, "things unattempted yet in Prose or Rhyme," Milton's actually alluding to the opening of another romance epic.
梅里特修斯发现,在这页最下面有一条笔记，显示弥尔顿写到，“在《散文和韵律》中都未被人们尝试过的事“,事实上弥尔顿是暗指另一部浪漫史诗的开头。
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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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One of the great short stories of the last century begins with a sentence by Franz Kafka: "As Gregor Samsa woke one morning from uneasy dreams, he found himself transformed in his bed into a gigantic insect."
上世纪最伟大的短篇小说之一,弗朗茨·卡夫卡所写的名篇是这样开头的,"一天早晨,格里高尔·萨姆沙,从不安的睡梦中醒来,发现自己躺在床上,变成了一只巨大的甲虫"
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Because I thought the payoffs - the two different payoffs that I could have gotten-- were highest if I chose Alpha.
因为我发现,如果我选α的话,我得到的两种结果是最优的
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You'll find out, if you go on to some of the other classes in course 6, there are a lot of different ways that you can measure this.
你会发现,我们会有很多不同的方式，去计算它,最常见的方法。
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And most of all, I think, he had some really striking findings.
我认为,最重要的是他令人震惊的发现
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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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What I am frankly espousing here ' is what I have been calling "growing-tip statistics," taking my title from the fact that it is at the growing tip of a plant " that the greatest genetic action takes place."
我非常支持,'成长尖端统计学“,我的头衔来自以下的研究发现,最优秀的遗传基因会在,幼苗的成长尖端出现“
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hey'd rather single step it through using Idol or something, than just read it and try and figure things out. The most important thing to remember when you're doing all of this is to be systematic.
比起阅读代码发现错误来他们,宁愿用内置的操作层,或者其他工具一步完成,你要记住的最重要的事情,就是要系统化的去做调试。
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One of the real surprising findings in my field over the last ten/twenty years has been that the acquisition of sign languages has turned out to be almost exactly the same; in fact, as far as we know, exactly the same as the acquisition of spoken languages.
过去的十到二十年间,在我的研究领域里最令人吃惊的发现之一就是,各种手语的获得过程,被证明几乎是完全相同的,实际上据我所知,和口语语言的获得过程是完全相同的
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