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OK, clearly we'd be much better off if we had some systematic quantitative way to tell whether something would happen spontaneously.
好，如果我们有一些系统定量的方法来判断,一个过程是否会自发进行,那就会更好了。
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The first way is just to turn the crank on the math, and the second way is to do a little bit more imaginative about the process.
第一个方法就是纯数学推导,第二个方法我们将对,这个过程做一些物理图像的想象。
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The process to control it is intriguing and interesting but the heart of the computer is simply this notion that we build our descriptions, our recipes, on a sequence of primitive instructions.
这个控制它的过程很耐人寻味，很有意思,但是计算机的核心仅仅只是,我们在初始指令序列上，建造描述、方法的一个概念罢了。
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Now, one of the great hopes of modern biology is that we can figure out how to reverse that process in cells.
如今,现代生物学的一个最大希望,就是希望能够,发现逆转分化过程的方法
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From that standpoint, from that theoretical standpoint, comes a methodological approach which is, if they're all the same then you could study human learning by studying nonhuman animals.
从这个理论观点中，可以得出一种研究方法,即，如果人类与动物并无差别,那你就能通过研究非人类动物的学习过程,来研究人类的学习过程。
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Well, the only way you know is to do studies-- and we'll talk about how these are done in the next class-- linking dietary behavior, food intake with health.
了解这些的唯一方法是做研究,而在下一节课,我们会谈论具体过程,联系饮食习惯,食物摄入与健康
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But we also use active visualizations we have a couple of ways to do active 3D visualizations.
但我们也使用主动性直观化,我们有很多方法,来实现3D直观化过程。
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Of course there are lots of ways we can execute the cycle, but this is a simple one, and these are steps that we're all familiar with at this point.
当然循环过程,可以有很多种方法，这是一个简单的例子，这是循环过程,循环中的每一步我们都很熟悉。
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The body of that function looks exactly like the computation up above, except I'm simply using those in place of the specific message I had before.
方法体内部看起来,很像上面的计算过程,除了我用这些来替代了,原来的那些特殊信息。
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And inside of the machine, and things we'll talk about, there is a process that will allow that sequence to be executed as described in that recipe, so it can behave like any thing that I can describe in one of those recipes.
在机器里面，还有我们要说的，里面有一个我们允许的,在方法中描述的,将要被执行的序列的过程，因此它可以像我在方法之中,描述的任意一种那样来表现。
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He took this pustular fluid that was produced at this very specific phase of the disease, and he developed a way for giving that to people.
他取出脓包中的,由这种,非常特殊的过程产生的液体,他还发明了一种将之接种到人身上的方法
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We want to have ways of capturing this process.
我们希望能有方法可以捕捉到其中的过程。
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But if you wanted to know it You could, you would look at development and you'd watch the embryological development of a zebra and that's how you would learn the answer to your question.
但如果你想要知道答案,你就应当去观察斑马的发育过程,观察斑马的胚胎发育,这就是寻找该问题答案的方法
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Let me write a function, in fact the literal thing I would do is to say, identify the things that change, give each of them a variable name because I want to refer to them, and then write a function that captures the rest of that computation just with those variable names inside.
让我来写个方法,实际上我的意思是，辨别出变化的东西,然后给它们逐个命名以区分,然后写一个用来计算,这些变量的,包括计算过程的方法。
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One, developing ways to understand how humans work better, how human physiology operates, and second, developing new approaches for replacing function in people when they're sick.
一,开发新方法更好的了解身体的运作,以及生理过程是怎样发生的,二,当人机体发生病变时,找到方法替代病变器官的功能
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It allows us to look not just at the anatomy of what's going on inside your body like an x-ray does, but to look at the chemistry, the biochemistry of what's happening inside a particular organ or tissue in your body.
这种方法不仅能够像X射线那样,使我们从解剖学的角度观察体内的情况,还能了解到,在体内特定的组织和器官中,发生的化学 确切说是生物化学过程
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As I said, what we want to do is, we want to count the number of basic steps it takes to compute a computation as a function of input size.
我刚才提到了，我们要建立，一个根据输入大小的方法来计算,一个计算过程需要的时间,建立这个方法需要几步呢？
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I wanted to show you that, so, first thing I'm going to do is say, all right, I know I'm going to need square root in here, so I'm going to, in fact, import math.
我们可以开始完成这个方法了，我想让你们看到完成这个方法的过程，第一件事情就是,我们在这儿需要一个求平方根的方法，实际上我将引入math包。
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