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Let's say you have to go through three or four operations to get a final number, well, do it algebraically.
让我们说,你不得不通过3-4个操作,才能得到最终的数，好吧，用代数方法求解。
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It was a kind of powerful moment in American culture where the president allied himself with poetry in this way.
这在美国文化中是个伟大的时刻,这时总统用这种方法把自己和诗歌连接。
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Over all possible inputs to this function, what's the fastest it runs? The fewest, so the minimum, if you like.
哪个输入程序运行的最快？,用的时间最少？如果你喜欢的话，这个方法看起来不错。
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Without worrying about the economics of it a second, how would we find that just as a math exercise?
不需要考虑经济学的理论,用数学的方法怎么来求解啊
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But I want you guys to think about why it was difficult to do it another way, which is more pedestrian.
但是我希望你们能思考一下,为什么用另一种更普遍的方法来做,反而会比较难呢
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The organ has to get from one place to another very rapidly and this is the fastest way to do it.
器官必须以最快的速度送到,用飞机送是最快的方法
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In class we'll have more data to present to you and we'll be eager to talk about some of the ways that people will be using the site and what the potential impact will be.
课堂上将会呈现更多的数据,我们渴望谈论,人们用这个网站的方法,以及潜在的影响。
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It's put in a different way by Iser, but it is in a large degree the same idea.
伊瑟尔用了不同的方法来讲述，但很大程度上说的也是同一概念。
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So, these are the different ways that we can actually go ahead and use formal charge when we're choosing between different types of Lewis structures.
那么，这些就是在我们需要在,不同的路易斯结构之间做选择的时候,我们如何用形式电荷来进行判断的各种方法。
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And we want to do that in tangible, concrete ways, but the question is how? -Absolutely.
而且想用实际具体的方法来实现这个目标，但问题是怎么做？，-对。
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That made it very beautiful and there's no way in God's earth that we could replicate that to the Western system of musical notation.
那使得它十分美丽,我们却没有任何办法,用西方的乐谱方法,再现这样的音乐
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Again, I don't want to make too much of my estimates because different people would estimate these things in different ways, but that's the theory.
再说一次，我不想太过强调我的估算,因为不同的人,会用不同的方法估算这些数据，但这只是个理论。
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The whole telling of the story is not objective at all, and when you think of it in an objective sort of way, it's a completely different story.
整个故事的讲述本就不客观，当你用客观的方法去衡量它时,它就是完全不同的故事了。
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In my classes I've tried to explore films in different ways.
上这些课的时候我试图,用不同的方法来探索电影。
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If I decide there's a better way to get input, and there is, then I can make it to change what I don't have to change the code that uses the input.
如果我觉得有更好的获取输入的方法，我可以直接改去用这种方式,而不用更改使用了,输入处的代码。
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That's one challenge and we'll talk about ways to think about engineering approaches to solve that problem.
该问题一直很具挑战性,我们会讲到,如何用生物医学工程的方法来解决它
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So as I said, they're going to be identical in terms of making the decision that way.
因此就像我说的，如果用这种方法来判断,它们应该是完全相同的。
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It's useful to have the average acceleration, which you can find by taking similar differences of velocities.
平均加速度也是很有用的,你可以用类似方法,取速度的变化量求出来
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It means anybody using that little function get float doesn't have to worry about what's inside of it. So for example, I decide I want to change the message I print out, I don't have to change the function, I just pass in a different parameter.
这代表着用这个方法去获得浮点数,的任何人都不用担心具体的实现了,例如，如果我想改变下,显示的信息的话，我不必去改变方法，我传个不同的参数就可以了。
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So I'm going to find for you this result using calculus in a different way.
我将为你们展示,用不同数学方法得到的结果
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We inhabit the bubble that's created in that way.
我们居住在用这种方法创造的一个水泡中。
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I'm using exactly the same form to reduce this.
我用的同样的方法来减少问题的规模。
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Here, the plasmid is directly injected into a cell.
这里用的方法是,直接将质粒注入细胞
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You can do that, but we like to get the answer the way this gentleman described it, because we like to get an answer more readily than by doing the mundane work.
你可以那样做,但是我们喜欢,用这位同学所说的方法来得到结果,因为我们喜欢更简洁地获得结果,而不是通过繁琐的计算
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What I suggest we do is we do what we did last time and we start to draw a picture to figure out what my expected payoff is, depending on what I believe the goalie is going to do.
我建议用上次的方法,作图来表示在我对门将的策略,存在某种信念下,我的预期收益
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Also, what's the energy per photon of this red laser pointer, and then it's also worth trying a calculation dealing with intensity. So let's also try calculating the numbers of photons that would be emitted by this laser pointer, if, for example, we were to use it for 60 seconds and this were a one milliwatt laser.
同样，红色激光笔的,每个光子能量是多少，这也值得用处理强度的方法计算一下,让我们也计算一下,有多少光子会从这个激光笔射出，举个例子，如果我们使用它持续60秒,这里会有一毫瓦的激光。
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And this exercise of being able to work In these three different modes, economic intuition, graphs, and kind of nerdy high school math is a lot of what we want to get you used to as Economic Majors, just to be able to translate easily between those.
这个练习可以用,三种不同的方法解决,即,经济直觉,图表,和一些讨厌的高中数学,希望经济学专业的同学能掌握这些方法,对于这些方法能够随手拈来
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And it's a topic I want to pick up on today, we're going to do for the next few lectures, and it's a topic I want to spend some time on because this idea of capturing data and methods, the term we're going to use for it, but data and functions that belong to that data, things that can be used to manipulate them, is a really powerful one.
我们会在今天讲这个话题,在后面几节课还会讲这个,这是个我愿意花点时间，在上面的话题因为这是个,捕获数据和方法的思想,我们用这个术语来形容它，数据中包括了数据和函数等，能用来操作它们的东西,真的是很强大的工具，我们真正要讲的东西是，我们要学会如何把信息。
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