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These are sort of the cells, if you like, in memory that are holding the elements of the list.
记忆就像是数组中的元素,我们之前说的是，我在这里开始并且比较。
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I think what is better particularly in countries like your own, where you have more people on the internet.
我想像你们国家的就比较好，有比较多的人上网。
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I was born with,genetically speaking, relatively high level of anxiety, inclination toward rumination, we'll talk about that later in the course.
从遗传学上讲，我天生就，比较容易焦虑，容易得抑郁症，在后面的课程上我们会谈到。
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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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Let's flip back a step beyond that to Mycenaean civilization for the purpose of noting the great contrast, the great change.
让我们跳回到迈锡尼时代,比较看看两者间巨大的差异,也就可以明白希腊的巨大进步了
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The idea was you have to do something that has lot more job securities, something that will bring in a steady income.
作为一个穆斯林，你就应该,做一份比较有保障，收入稳定的工作。
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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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It's one element like I claimed before it's sorted and so there's no work to be done.
当有1个元素时，在比较前就知道它是有序的,那就没必要再进行比较了。
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And so this one you didn't choose is then tainted and you turn and then when compared to a third one you favor that third one.
你第一次没选上的那粒就被打上污点了,当拿它和第三粒相比较时,你就会偏向于第三粒。
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Then it's sort of...you can get out of hand I think India so far is leaning also towards bringing down barriers and opening their sight of economy as well.
这样的话，事情就比较棘手,我认为印度至今还是倾向于,降低壁垒,从长远考虑保持开放经济。
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The peak occurs a little bit later and then there's a less rapid decline here, and then blood sugar actually ends up a little above this initial level, and therefore you're less likely to eat because you're less hungry.
峰值出现得比较晚,下降也较为缓慢,最后血糖结束在比起始值稍高的位置,因此人就没有那么想进食 因为不感觉饿
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And I would say in terms of our... in terms of like the academic goal, Ivy League schools are more or less... uniform.
就我们的……比如说就学术目标而言，常春藤联盟的学校都是比较统一的。
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I'm just going to go over a few of the main points here So, the first is that what we're going over notes today and also on Monday, the exam material ends at the end lecture notes from lecture 9.
我会简单地带大家过一遍几个比较重要的地方,那么，第一点是关于我们今天,和下周一要讲的内容，考试要求的内容,就到第九讲的讲义结束的地方。
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So, I want to begin just by pointing to you, on page 297, a somewhat more complex example of what this looks like toward the end of the novel.
我想在开始的时候就给你们指出，在297页上，一个看上去比较复杂的例子,在小说后部分。
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Let me talk to you about temperature scales.
就可以比较前两个物体的温度。
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That's a stronger claim, though I think it's not the sort of claim that's unique to Tolstoy, that all of us or most of us or many of us at the fundamental level don't really believe that we're going to die.
这个说法就比较有力了，虽然我觉得这不是托尔斯泰独有的看法，声称我们当中全部或大部分,从某种根本程度上不相信自己会死。
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Some of this will be familiar to some of you who've have had biology in high school or other places, you know something about DNA.
对你们来说有些内容会比较熟悉,如果在高中或其他地方学习过生物课,就会多少懂一些有关DNA的知识
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And so, and so those, those people sometimes have a harder time, it seems.
所以，这些，这些人有时候就比较有困难了，似乎是这样。
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The people who are in the know -know who's trustworthy as a borrower and who has a good prospect of paying it back -but if I go in there ignorantly, I'm going to get stuck with the worst stuff.
那些行家老手们,就知道哪些借款人是可信的,钱借给谁还款的把握比较大,但如果我懵然不知就把钱投进去了,就可能会落得个血本无归的结果
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Now, compare the first element in each of these lists. Two is less than three, so two ought to be the next element of the list.
现在，比较每个列表的第一个元素,2要比3小，所以2应该是合并后列表的，下一个元素，然后你们就知道了。
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Just contrast this for a brief moment to something like Selection Sort which from the get go had a ridiculous amount of redundancy comparing the same damn numbers again and again, and again.
这就与其他的排序算法形成了鲜明的对比,比如选择排序,它会一次又一次地做,多余的比较。
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This refers to random variables that have fat-tailed distributions-- random variables that occasionally give you really big outcomes.
这就表示,服从长尾分布的随机变量,这些数据出现极端值的概率比较大
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It becomes very inexpensive to sweeten things.
所以甜点就变得比较便宜
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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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The easy thing to do would be the following: start at the front end of the list, check the first element. If it's the thing I'm looking for, I'm done. It's there. If not, move on to the next element. And keep doing that.
从数组的第一个元素开始：,如果这是目标元素那么结束,如果不是的话就继续比较下面的元素，并一直这么比较下去,但如果，在某一点我发现我要寻找的数字。
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I still have to do this process and here is where the finger thing gets a little more useful 'cause I have longer lists.
我仍需要进行这一步骤,在这儿手指的方法就比较有用，因为,列表比之前的要长。
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So I have to get out the damn scale again and go through that whole process.
那我就不得不再次使用那个讨厌的天平并,进行整个重复比较的过程。
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If there's a large standard deviation it would be spread.
如果标准偏差值很大,那么它就比较分散。
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And it's called divide and conquer for the obvious reason. I'm going to divide it up into sub-problems with the hope that those sub-problems get easier. It's going to be easier to conquer if you like, and then I'm going to merge them back. Now, in the binary search case, in some sense, this is a little bit trivial.
因此被称为分治的原因就这么简单,将一个问题分解成一些子问题,并希望这些子问题解决起来比较方便,正如你希望的，求解的过程也会变得简单,下面就是把结果合并起来,现在，在二分搜索的例子里,从某些方面来说，这有点微不足道。
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And so this begs the question, even in the context of these cups, how can we possibly do better if at the end of the day in order to figure out if two cups or if two people or if two ints inside of an array are bigger or smaller than one another it feels like we have to do this comparison work anyway.
这样就回避了问题的实质,从这些杯子的相互关系来看，我们怎样才能更有效地,找出序列中比其他元素,都大或都小的两个杯子，两个人，两个数,看起来我们无论如何都得,做比较的工作。
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