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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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And we've only just begun using it, but it has just a bunch GetInt GetString GetDouble of very useful functions like GetInt, GetString, GetDouble, And so as those names imply, you can just cull these functions with no arguments and you'll get back that data type based on its name.
我们刚开始使用了它，里面有很多的,有用的函数，像，所以，那些名字暗示，你可以挑选这些,没有参数的函数，然后你可以通过它的名字,获取他们的数据类型。
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Now I started by saying, build these functions.
现在我将开始说一说建立函数。
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These functions are what are being plotted.
这些函数就是画出来的。
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Now there's something very wrong about this diagram, in that it's showing these functions as sort of centralized in the core, and of course that's not how your body is organized.
这张图上有些东西是不对的,图上显示这些功能都围绕着一个核心,当然,这绝不是人体的组织形式
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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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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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I'll just remind us of what these functions are; it's a - c over 2b - q2 over 2 and accordingly for Player 2.
再说一遍,参与人2的方程是,/2b - q2/2
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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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So now it's not just that the on-off switch is stuck in off, the brain's no longer capable of engaging in these higher order P-functions.
所以现在看来就不是开关被卡住，大脑已经不再有能力,实行这些高级的人格功能。
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These functions thus far have been short.
这些函数目前来说比较短。
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Second thing they're going to do is let us suppress detail. And in essence what that does is, the functions, and we're going to look at a bunch of examples in a second, these functions are going to give us a way to, in some or in one way of thinking about it is to create new primitives.
第二件要做的事,是忽略细节,函数的本质到底是什么,我们将在接下来的几分钟，举一些例子，这些函数将给我们提供,一种创建原语的思考方式。
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No. So we deliberately, in CS50's library, named these functions consistent with their behavior.
不行，所以我们故意在CS50的函数库中，根据函数的作用来给他们命名。
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So we can write any of these functions in terms of G.
所以能够利用G写出任意一个热力学函数。
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All right. So let's look at some of these wave functions and make sure that we know how to name all of them in terms of orbitals and not just in terms of their numbers.
好，让我们来看一下,这些波函数,并确定我们都知道,怎么用轨道,而不仅是量子数来命名它们,一旦我们可以命名它们。
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So instead, these would be canceling out wave functions between the two, so we would end up with a nodal plane down the center.
相反，两者之间的,波函数会相互抵消，所以我们在中间会得到一个节面。
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All right, so this is the heat flowing in or out of the system, and these are all functions of state.
好的，这就是系统的热量变化,这些都是态函数。
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These proteins have functions that are essential for life of the cell, they transport molecules back and forth across the membrane.
这些蛋白所起的功能,对于细胞生存至关重要,它们负责转运分子通过细胞膜进出细胞
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You took biology in high school, you learned the names of these organelles and their principle functions, the nucleus, the endoplasmic reticulum, the Golgi apparatus, mitochondria, lysosomes.
你们高中学过生物,学过这些细胞器的名称,和基本功能,细胞核,内质网,高尔基体,线粒体,溶酶体
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These P functions are functions that we have by virtue of our brain.
我们依靠大脑才拥有这些能力
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And it's more dramatic if the system is a gas p T2 V2 p, T2, V2, And let's look at what happens to U these functions of state, to H to u under this transformation.
如果是气体这个系统,就更具有趣了,让我们看看H和，在这个变化中态函数会发生什么变化。
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So what they do is, they're describing how these thermodynamic properties change, in terms of only state functions and state variables.
他们的作用是描述,随着状态函数和状态变量的变化，系统的热力性质如何变化。
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And we can also write this in an even simpler form, which is what's called electron configuration, and this is just a shorthand notation for these electron wave functions.
而且我们也可以将它，写为一个更简单的形式，它叫做电子构型,这个仅仅是这些电子波函数的。
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But since these are all simply state functions and quantities, this is generally true.
但是因为这些量都是态函数或者量,所以这个结果是普遍成立的。
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And there's also,of course,in each one of our cases, there's these higher mental cognitive functions that I've been calling the person functioning, there's the B-functions and there's the P-functions.
当然对我们来说，还有更高级的精神上的认知功能,我称之为人格功能，所以就有生理功能和人格功能。
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Since these are all state functions.
因为所有的热力学量都是态函数。
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But very soon will you find that if you're writing programs with lots and lots of functions, and some might call these, and these might call these, you can come up very soon with scenarios where you can not order them top to bottom, because everything is comingled, and there's a lot of cross talk among all of your functions.
但是不久后你们会发现你们写的程序中,有很多很多的函数，有的函数调用这些函数，这些函数又调用另外的函数，你不能用脚本,把它们从上到下排序，因为所有函数相互混合,在你的函数中也有很多交叉。
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or at least one mechanism, I shouldn't say -- the only one-- one mechanism for doing that is going to be to add functions is that it's going to provide both of these things, so the first thing it's going to do is, it's going to let us break up into modules.
我们处理这些的机制--至少一种机制,我不会说只有一种,一种机制是在我们的语言中增加函数,函数的关键是它要提供分解和抽象,所以第一件要做的事，就是将代码分解为模块。
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We're going to talk about those in more detail in a couple of weeks when we talk about the immune system because these are the cells that perform and regulate the functions of our immune system that protect us from disease.
在后几周的有关免疫的课程上,我们会详细说明的,因为我们免疫系统的功能,要依靠这些细胞去完成和调节,它们使我们免受疾病侵害
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