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All of this is Darwinian thinking and, I think, increasingly will be central in importance in the twenty-first century.
这就是达尔文所思考的，我认为，这在二十一世纪会越来越重要。
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So you're going to get more better and better. Listen a lot of English songs and try to sing with them.
所以，你会变得越来越好。听大量的英文歌曲，并学着唱。
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The positive force of attraction of the electrons on the outside is greater and greater, and that pulls everything in.
所以对外层电子的吸引力,会越来越强，把电子们都向内吸引。
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We are expecting to see that it decreases because it's feeling a stronger pull, all the electrons are being pulled in closer to the nucleus, so that atomic size is going to get smaller.
我们将看到它是减小的,因为电子会感受到越来越强的吸引力，所有的电子将会被原子核拉得越来越近，所以原子半径将越来越小。
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We are really attracted to people whose regard for us ? is gaining momentum over time. Okay?
我们会被那些越来越,看得起我们的人所吸引，是不是？
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I think they may have to have a Basel III before too long because everything gets more and more complex in the world.
我认为不久就会推出第三次巴塞尔协议,因为世上万事都变得越来越复杂了
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This is quite striking.
将会有越来越多的人去追寻。
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So let's listen to a track here, a sax solo and I am going to try to keep-- make some sense out of this-- because it gets more and more complex-- by following the electric bass underneath so let's listen to an old tape.
那么我们听一下这段音轨,一段萨克斯独奏,我会尽量从中,理出一些头绪,因为我们的音乐片段会越来越复杂,大家可以跟着底下电贝斯的节奏,好的,我们来一下老磁带
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Successive approximation, Newton-Raphson was one nice example, but there's a whole class of things that get closer and closer, reducing your errors as you go along.
逐渐逼近,牛顿迭代是一个很好的例子,随着你不断的时行下去,你会不断的离结果越来越近，逐渐地减少误差。
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And we'll see why this is increasingly useful as our programs get more and more interesting.
我们将会看到这和我们的程序一样,变得越来越有趣了。
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Would it,in fact,be better and better and better?
它会越来越好，越来越好吗？
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it starts to get more houses. I mean, I live in an apartment now,
你会看到越来越多的房子。我的意思是，我现在住在公寓里，
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the better you get and the more comfortable you are.
就会滑得越好，也会越来越如鱼得水。
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But it increasingly is going to be exploiting that energy using that geo-politically and ways that could be quite damaging to our interest.
但是它对能源开采的需求将会越来越大,作为地缘政略,采取会对美国利益造成危害的各种方法。
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We are turned away from the light.
只会离光明越来越远。
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And so when they become very, very closely spaced there is mutual repulsion of those electrons.
所以当它们越来越近的时候,这些电子会产生相互的排斥力。
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The one problem that we run into is as we go to more and more atoms on the table, as we add on electrons, the Schrodinger equation is going to get more complicated.
我们将会遇到的一个问题,是当我们处理周期表中越来越多的原子时，当我们增加了电子，薛定谔方程,变得愈加复杂。
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The idea really took root--the idea, the intuitive idea is that as you write a large number of policies, the fraction that will result in accidents becomes closer and closer to the probability of one accident.
这种观点建立在...,观点是,只要你签的保单足够多,事故占保单总数的比例就会越来越接近,事故发生的概率
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And this will become more and more clear as we actually talk about these reactions and talk about bonding.
而这将会变得越来越清楚,在我们讨论这些反应以及讨论成键的过程中。
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The first derivative is more important than just the position of their regard for us, getting better and better.
态度的改观,比一开始对我们的看法更为重要，会越来越好。
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.. You want to get it-- if you keep adding assets, you can do better and better on your portfolio standard deviation.
你想得到-,如果不断增加资产,组合的标准差就会越来越小。
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And as you go to higher and higher levels, those energy levels, as you saw in the case of hydrogen, are more closely spaced.
当能级变得越来越高，那些高能级的轨道，就会变得越来越接近，正像你在氢原子里看到的那样。
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So as you can see, as we escalate the problem difficulty, the difference between the good method and the not quite as good method gets bigger and bigger and bigger.
如你所见，当我们处理更复杂的,问题的时候，优良的算法,和并不那么好的算法之间的,差异会变的越来越大，这一点很重要。
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So as we go down we're now adding electrons to further and further away shells, so what we're going to see is that the atomic radius is going to increase as we're going down the periodic table.
当我们向下走时,我们会将电子加在越来越远的壳层上，因此我们将看到原子半径,将随我们沿周期表向下走而增大。
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As the years go by, you notice that Milwaukee is starting look more and more like Los Angeles.
年复一年,你会发现密尔沃基的情况,与洛杉矶越来越相似
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Consequently, most of you will get better at it.
因此，你们中大部分人会做得越来越好。
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The differences between those energy levels are becoming smaller and smaller as the n number rises.
那些能级间的差异,会随着n值的增加变得越来越小。
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So you can imagine it's just going to get more and more complicated as we get to other types of atoms, and of course, molecules from there.
所以你们可以想到,当我们处理其他类型的原子,以及分子的时候，它会变得越来越复杂。
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When the stock market is going up they think that -they increasingly think that the stock market is just the best investment, until when it starts falling, then they start retracting from that.
当股票市场上行时,越来越多的人会觉得,股票是最佳投资选择,而当股市下跌时,人们纷纷从股市中撤出
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