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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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On the other hand, we know it's... The math is going to be the same, so let's cheat.
计算方法是类似的,我们就偷懒不算了
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up employing something called programming, the act of constructing, telling a computer to do your bidding.
你们会使用一种叫做程序设计的方法，或称之为构建，即让计算机去执行你的命令。
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You'll find out, if you go on to some of the other classes in course 6, there are a lot of different ways that you can measure this.
你会发现,我们会有很多不同的方式，去计算它,最常见的方法。
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He estimates, for his purposes, and he shows you calculations of the efficient portfolio frontier.
他用自己的角度估算了参数,他还给出了计算有效边界的方法。
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Economics and Game Theory are now essential tools for understanding human thought and human behavior— those issues connecting to philosophy, computer science, anthropology, literature, theology, and many, many other domains.
经济学和博弈论如今已经成为了,理解人类思维和人类行为的重要方法,这些问题涉及哲学,计算机科学,人类学,文学,神学,以及许多其他的科学领域
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So we're going to talk about thinking about the body as a system, as a system that can be understood the same way a motor could be understood or a computer that could be understood.
我们会讲到如何将身体看作系统进行研究,这个系统能够以研究,引擎或计算机的方法进行研究
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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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So I propose this algorithm, this program, this process for counting people in this room.
因此我提出了这种算法，这种程序和处理方法,来计算教室里的人数。
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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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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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I know something about the profits of the firm.
还知道了企业利润的计算方法
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This is how they actually compute the payments because you can take, if you want--if someone is borrowing -let's bring it up to today- they're borrowing $200,000.
这就是计算贷款偿还额的方法,比如,如果某人要借款,我们用现实的例子,假设要借20万美元
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Then to get the monthly payment, you take the square bracketed thing and you divide by the mortgage balance and that's the monthly payment; that's how it's calculated.
如果要算每月偿还额,你用贷款余额,除以这个方括号的值,这样就得出每月偿还额,这就是每月偿还额的计算方法
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Jeremy Siegel, in his book, which is assigned for this course, is really emphasizing this capital asset pricing model, emphasizing the kind of efficient portfolio frontier calculations that I've done.
杰里米·西格尔的著作，是本课的指定书目，书中着重讲述了资本资产定价模型，以及有效边界等的计算方法,这部分我已经讲完了。
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So this is giving me now that template, better way of saying it, all right, a template now, for a point is x, y, radius, angle.
其他的方法来进行计算，但是这就是典型的我，要放置它们的地方，因此这就给了我一个模板。
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I'm going to write a function to compute integer power exponents.
我要去写一个,计算一个整数幂指数的方法。
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What we're saying is, in order to do computation, we want to describe recipes, we want to describe this sequence of steps built on some primitives, and we want to describe the flow of control that goes through those sequence of steps as we carry on So the last thing we need before we can start talking about real programming is, we need to describe those recipes.
我们在说，为了做计算，我们想描述一个方法，想描述建立在,相同基本类型上的步骤序列，而且我们想描述经过我们设计的,步骤的序列的，控制流程,因此我们开始谈论真正的编程之前,的最后一件事是，我们需要描述一下那些方法。
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That's the question we're going to try and address. If we can do this, this is good, because first of all, it removes any questions about what machine I'm running on, it's talking about fundamentally, how hard is this problem, and the second thing is, it is going to do it specifically in terms of the input. Which is one of the things that I was worried about.
这是一个我们接下来要去,尝试和解决的问题，如果我们能做到的话会很不错，因为首先，它解决了结果可能和我,运行的计算机有关系的问题，因为这从根本了告诉了，我们这个问题的复杂度，第二件事情,就是这种方法可以依据输入的大小来计算,而这正是我最担心的地方。
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I want to talk about the goal of the course, what it is you'll be able to do at the end of this course when you get through it, and then I want to begin talking about the concepts and tools of computational thinking, which is what we're primarily going to focus on here.
我想讲讲课程目标，也就是当你们完成了这门课时,应该达到的程度，接下来我想开始谈谈,计算思维的概念和方法，即这门课程的核心内容。
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Nobody in their right mind actually implements a recursive Fibonacci the way I did it originally.
没有谁真的在右脑中,按我最初讲的递归方法,计算Fibonacci数列。
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Well we're seeing this famous computers are no damn good.
要运行compare方法,噢这些著名的计算机可能并没这么好。
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