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And they are free. "Introduction to Trigonometry is where I teach people about the trig functions."
VOA: standard.2010.03.26
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Again, I could have some other functions to compute things, but this is typically the place where I'm going to put them in.
注意这个声明典型的行为,就是为了定义了内部变量，以及类的内部特性,在说一次，我可以写一些。
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I want to talk a little bit about how you use the things we've been building in terms of functions to help you structure and organize your code.
第一件事情就是我要谈下,怎么利用我们,所做的能在方法方面,帮助你们组织和优化代码。
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"The bulk of our food production on this planet is dependent to some extent or another on oil or products of oil, so this goes right to the heart of,frankly, the way our society functions,"
VOA: standard.2009.10.20
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So, conceptually if you've ever wondered why you get access in all of your functions to global variables that's because they're not down here, they're at the very top of RAM and any function can access that RAM way up there, but for now the interesting player in the story is this thing called the heap.
所以，如果你想知道为什么全局变量能在,所有的函数中使用,那是因为它们不在这下面，而是在内存的顶端,那样任意函数都可以在内存中使用它们，现在，这里面一个有用的角色是,叫做堆的东西。
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We started talking about these on Wednesday, and what we're going to start with is considering specifically the wave functions for multi-electron atoms.
我们从周三开始讨论这些，而且我们将要以特别地考虑,多电子原子的波函数,为开始。
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It doesn't represent any particular neuron in the body, but just meant to represent functions that all of them have.
它不代表体内任何特定的神经元,只是用来表现神经元共有的一些功能
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So what I'm going to do is I'm going to go back to my picture and draw these functions.
下面我们一起来,作出这些函数的图像
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As long as you're dealing with state functions it doesn't matter to get at the same results here.
不影响结果,我们的推导就基于这一点。
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What's a function, what's a derivative, what's a second derivative, how to take derivatives of elementary functions, how to do elementary integrals.
什么是函数,什么是导数,什么是二阶导数,如何对初等函数求导,如何进行初等积分
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It has to do with the god Hermes who conveyed language to man, who was in a certain sense, among many other functions, the god of communication, and hermeneutics is, after all, obviously about communication.
它与赫耳墨斯，即教给人类语言的神祇有关，从某种意义上来说，赫耳墨斯是沟通之神，所以诠释学显然和沟通交流有关。
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It is when political functions become concentrated into the hands of again the too few hands that we risk arbitrary government and the endangerment to the liberty of the individual.
因为一旦政治职权,过度集中于,少数人的手中,我们面临的风险,便是独断政府,及个人自由的危机。
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I wanted to mention in this context, because I'm emphasizing how banks help solve the adverse selection and moral hazard problem -I wanted to mention briefly here also the rating agencies, which fulfill some of these functions.
我早就想在这段内容里讲讲这事了,因为我一直强调,银行是如何帮助解决逆向选择,以及道德风险问题的...,我还一直想在这里简要的提下,本应履行这些职能的那些信用评级机构
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minutes with a different variation on how to use functions to think about problems.
我想在最后的十分钟里讲一讲,怎样用不同的变量让函数。
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Right, so how do you use the idea of functions to organize code?
好，你们是怎么利用方法,来组织代码的呢？
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Now Isaac Newton and/or Joseph Raphson figured out how to do this kind of thing for all differentiable functions.
既然牛顿和拉复生已经,指数了如何解这种可导函数,因此我们就不用太担心了。
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So, we're talking about wave functions and we know that means orbitals, but this is -- probably the better way to think about is the physical interpretation of the wave function.
我们讨论波函数而且,我们知道它代表着轨道，但-也许更好的思考方法是,考虑波函数的物理意义。
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And one of the ways you can make a program crash, intentionally or not, is to essentially use up too much memory or call too many functions and what happens is, bam, one hits the other and bad things happen.
其中一个方式能使你的程序崩溃掉，有意或无意的,它本质上使用了太多的内存,或者调用了太多的函数，所发生的，崩掉，一个冲突了另一个，然后发生了坏事情。
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But this choice of names, both for my functions and also for my parameters or my variables is completely up to me.
但是这个名字的选择，包括我的函数名,和我的参数名,或者变量名都是我定义的。
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One of the important functions of a fibroblast is to allow for healing of wounds.
成纤维细胞的一个重要作用,就是愈合伤口
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Then you're supposed to know derivatives of simple functions like sines and cosines.
你应该知道一些简单函数的导数,比如正弦函数和余弦函数
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In Week 2 we'll look at things like cryptography and functions and the tools that by which you begin to assemble solutions to problems; in Week 3 we'll introduce what are generally ; known as algorithms and data structures; mechanisms by which you can solve problems more efficiently, effectively.
第2周,我们学习加密技术及其功能,还会学到一些操作工具,通过这些工具的使用来收集解决问题的办法,第3周,我们将介绍;,算法和数据结构,以及可以更有效地解决问题的机制。
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So that's a shot fired across the bow against the author because it's Barthes' supposition that the author isn't maybe even quite an author function because that function may be hard to identify in a discrete way among myriad other functions.
因而这是对作者的警告,因为巴特推测,作者可能甚至都不是功能性的,因为这种功能可能很难通过分离的方式,在很多其他功能中被辨认出来。
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So that means that we don't have to worry about things like wave functions when we're talking about Lewis structures, but because they're so simple to use and because they so often predict the electron configuration of molecules accurately, we end up using them all the time in chemistry, so it's very valuable to know how to draw them correctly and to know how to work with them.
因此这也就意味着我们在讨论路易斯结构的时候,不需要担心波函数之类的东西，但是由于路易斯结构不仅简单易用,而且用它来预测分子的电子排布,经常可以得到非常精确的结果，结果我们在化学中一直都在用它，因此知道如何正确地画出并运用,路易斯结构是非常有价值的。
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It turns out we can express all these functions in terms of G, G we wouldn't need to choose G, but it's a very useful function to choose.
最终我们能把所有的这些函数,用自由焓G表示出来，我们没有必要选择，但是这个选择很有用。
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An idea of abstraction, that idea of specification, is exactly what we want to use inside of our functions.
抽象的概念，规格化的概念,就是我们想要运用到。
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So maybe - and here thinking about the pancreas has many functions but one of its important functions is to secrete insulin.
胰腺有很多的功能,其中最重要的功能之一,就是分泌胰岛素
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And if you think about it, associated with each - one of those data types is a set of functions it's intended to apply to.
你会发现每个类型都有，与之对应的一个集合的操作,有的时候这些操作,有的时候某个操作可以,应用于多种数据类型。
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We have tissues like the brain which are assembled to do functions that are different from any other groups of cells in the body.
像我们的脑组织,它们的功能,就截然不同于身体其他部分的细胞功能
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So this issue of scope is to say that functions have scope.
所以这个范围问题是说明函数有范围。
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