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So the integers are totally ordered the reals are totally ordered lots of things are, the rationals are totally ordered.
对正数来说,这样的序列是排好序的,对实数也是如此,对很多事情都是如此。
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And the customer in front of you in line has so many items to check out.
排在你之前的客人买了很多东西需要结账。
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So in terms of total numbers that we would need to complete our octets and fill our valence shells, we would need 18 electrons.
因此要填满我们的“八隅体“,排满所有的价壳层，我们总共需要十八个电子。
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That the phonebook was sorted alphabetically and that the array of numbers on the board behind the second row of paper itself was sorted alphabetically.
电话簿是按照字母顺序排列的,而且黑板上第二排后面的一系列数字,也是按字母顺排列的。
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We're going to come back to this row and we're going to figure out not just this equilibrium, but all equilibria.
我们要回到这一排,我们将解决不仅这个均衡,而是所有的均衡
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I know you guys need the rest and interestingly, the best sleepers are in the first couple of rows.
我知道你们需要休息,有意思的是,睡得最香的都坐在前几排
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He wore an old double-breasted suit, frayed gray shirt, wide tie, no hat "I left her so long ago I don't remember.
他穿着一件双排扣的旧大衣，一件散口的灰衬衫，和一条宽领带，没有戴帽子，“我很早以前就离开了她。
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He's got to come forward and take the danger and take the blows and close the line.
他必须涉险向前,冒着枪林弹雨,去填补这一排的空缺
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Well they're not necessarily, because we only have the number three player in terms of size.
其实不是的,我们在规模上只能排到第三
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So, I'll try not to do that Result to another complex thing If you're in the front roll, or second roll or third roll It's possible that some part of your head, your back or even your face might end up on the film.
所以我会很注意,另一件事情就是,如果你们坐在第一排,或者前几排,那么你们的头部,背部甚至脸部,都可能被镜头扑捉到
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Again. Basic premise of binary search, or at least we set it up was, imagine I have a sorted list of elements. We get, in a second, to how we're going to get them sorted, and I want to know, is a particular element in that list..
好，二分查找的基本前提，或者是我们建立二分查找的基础,我们已经有了一个排好序的元素列表，我们就需要知道如何来快速的排序,如何从列表中找到特定的元素。
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Step three in our Lewis structure rules is to figure out how many electrons we would need in order for every single atom in our molecule to have a full valence shell.
路易斯结构规则的第三步是,找出让分子中每个原子的价壳层,都排满应该需要多少个价电子。
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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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The reason is because we already have a full valence shell for our hydrogen, it doesn't want any more electrons.
原因是因为我们的氢,已经有一个排满的价壳层了，它不再需要多余的电子了。
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This is our row and at the count of three we're going to see who's going to run.
我们用这排,数到三的时候,我们来看一下谁会参选
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I have sorted with the smaller problem 1 because that smaller problem right now is of size 1 and so it's sort of obviously the case that this cup is now sorted.
对这个较小的问题我已经排好序了,因为在这个小问题中只有1个元素1,那么很明显,这个杯子已经是有序的了。
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Here's an interesting question: how wide is the line going to be?
一个有趣的问题产生了,排与排之间有多宽呢
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Why didn't the guys in the middle get crushed?
为什么中间的几排人没给压扁呢
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In fact, if the other person is working hard, or is cutting back on their carbon emissions, you have every bit more incentive to not work hard or to keep high carbon emissions yourself.
实际上,如果其他人正在努力工作,或者正在尽量减少碳排量,你总会有想偷懒的动机,或者总是继续大量排碳
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The traditional answer is that These guys actually did press up against the rows in front of them And that this provided a momentum That gave the front line an advantage in beating the enemy facing them.
传统的回答是,他们实际上是在推挤前面几排友军,为其提供一种动力,使前线在与对面的敌人交战时具有优势
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There's a guy in about the fifth row there who's missed too much sleep, so somebody just nudge him. That's it, good.
第五排有一个同学,可能很缺乏睡眠吧,旁边的人把他叫醒吧
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- So again, if you're unwinding what's going on here, this-- we sorted the left half which meant sort the left half, then the right half then the merge.
同样，如果你展开正在进行的一切-,我们已对左半部分排好了序，接着右半部分，接着合并。
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Let's imagine my army is the same size as theirs precisely, so that the line is the same size on both sides; therefore, also the same depth.
想象我们的军队和敌人有同样的规模,双方的每一排都具有同样的规模,当然,纵深也相同
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So we actually only need two electrons to fill up the valence shell of hydrogen, remember that's because all we need to fill up is the 1 s.
我们其实只需要两个电子,就可以将氢的价壳层排满，要记得这是因为我们只需要排满，1，s，轨道。
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Let's assume that I could somehow get to the stage where I've got two sorted lists.
让我们来假设目前的情况是：,我已经有两个已排好序的列表。
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I remind you, I know you're not really listening to me, but that's OK. I reminded you at the beginning of the lecture, I said, let's assume we have a sorted list, and then let's go search it.
没关系，我告诉过你在课程的开始,我们假设这是一个排好序的列表,然后才进行的搜索,那实际上有序列表从哪里来的呢？
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If I look for, say, minus 1, you might go, gee, wait a minute, if I was just doing linear search, I would've known right away that minus one wasn't in this list, because it's sorted and it's smaller than the first elements.
如果我要查找-1，你可能要怒了，呵呵，等一等，如果我用的是线性查找，我不会知道-1不在这个列表中,但是列表是排好序的,1又比第一个元素小。
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And this is now consistent with my claim that I have sorted a list of size N equals 1.
这与我之前所说的是一致的,我已经将N为1的一个序列排好了序。
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So I'm going to use this row, I think, everyone in this row stand up a second, and this row stand up, this is the row of potential voters.
就选这排吧,这排的同学站起来一下,这排站起来,这排是潜在选民
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Each of us individually has an incentive to emit carbons as usual.
通常我们每个人都有排碳的动机
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