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Our friend Schr?dinger told us that if you solve for the wave function, this is what the probability densities look like.
我们的朋友薛定谔告诉我们,如果你用波函数来解决，你就会知道这些概率密度看上去的样子。
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And living in New York you can get a very skewed view of what people actually look like.
住在纽约，你会对人们真正长什么样这个问题，产生一种扭曲的观点。
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Right. If you look at the rest of that code, gee, it looks a lot like what I had elsewhere.
好了如果你看看剩下的代码，天呐，看上去就像我在别的地方写过的。
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So I mentioned you should be able to identify both how many nodes you have and what a graph might look like of different radial probability distributions.
我说过你们要能够辨认,不同的径向概率分布有多少个节点,以及它的图画出来,大概是什么样的。
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You're going to work out what firm's demands are going to look like for each possible price they could set.
你们要解出,公司针对每一个其可能设定的价格,它的需求是什么
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But it turns out that on Macs and if you have the right software on PCs, you can kind of get a teaser of what this environment tends to look like and be forewarned, what you're about to see is intentionally very underwhelming.
事实上，它是运行在苹果机上的,如果你在电脑上有正确的软件，可以去看看这个环境大致是怎么样的,提前说下，这个程序不会让你印象深刻,我是故意这样做的。
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Instead of looking at the documents from the outside, let's look at what would an early Christian church look like if you were just to stumble upon them? A little imagination.
这次我们不再客观地看文本，我们来看看一个早期基督教会的样子,如果你无意间进了教会，想象一下。
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And there's another question which you would no doubt be concerned to discuss, namely what would such Socratically purified ? music and poetry look like?
而另一个,你们一定会想要讨论的问题是，何谓经苏格拉底纯化过的,音乐与诗学形式？
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And you can actually, instead of imagining what things look like, you can see them.
你不用想象巴黎看起来的样子,你可以直接看到
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So you should know when you look at a graph like this what it's doing.
因此当你看到这样一个图表时,要知道它是怎样运动的
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What does it look like to you?
你们觉得它像什么？
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Well, it was not very hard for me to draw this red blood cell here, it's just an oval, and one reason I draw it like an oval, is that that's basically what it looks like if you look at it.
我可以很容易的画出,一个血红细胞,就画个椭圆足矣,因为它看上去就是这个样子的
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And then if you look at what's served in restaurants, like if you go to the Olive Garden or the Macaroni Grill, or these sort of things you get portions that are, you know, multiples of this kind of thing, and you see this kind of idea about what pasta might be like.
如果你们去橄榄花园或者通心粉烧烤店,看看餐馆上菜的份量,你们会得到一日摄入量的食物,是网球大小的几倍,意大利通心粉通常是这个大小的
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These are problems that look a lot like what you might have to do during their weekly assignment if you were a student in this course.
讲的那些问题,基本上是,如果你上那个课,会遇到的周作业的类型。
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Well, for instance, you could build machines that when babies suck on a pacifier they hear music or they hear language, and then you could look at how much they suck on the pacifier to determine what they like.
举例来说,你可以制造一个机器,每当婴儿吮吸奶嘴,他们就会听到音乐或是话语,然后你可通过观察婴儿有多喜欢吮吸奶嘴,来确定他们喜欢音乐还是话语
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You know, "Let's show Americans what all the animals look like.
让我们把动物的样子展示给全美国人。
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pV So there is an arbitrary set point that needs to be defined, right? Because what you actually measure in the lab are changes in enthalpy, just like what you measure when you look at energy change of some sort, you measure the change in energy, right.
焓也是一样，焓是U加,所以需要定义一个任意的设定值,对吧？因为实际上你在实验室里,测得的是焓的改变,就像你在研究某种能量变化时，所测量的那样，你测量的是能量的改变，对吧。
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We'll also post an exam from a previous year so you can actually see exactly what the format's going to look like.
我们还会提供一张往年的试卷,这样你就可以确切地知道,考卷的形式。
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You want to take a new problem and say, what does this most look like?
当你要解决一个新问题时，你应该想想这个问题看起来和什么最类似？
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All right. That actually seems like a really nice thing to have, and so let me show you what that would basically look like.
好了，那真的像一个,可以拥有的好事情，所以让我来给你们演示,那基本会是什么样子。
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So these are just some pictures to show you what the smallpox lesions look like on the face of a child, and then distributed over the whole body of an adult, to give you some better idea of what kind of a disease this was.
所以这里给你们展示一些图片,这就是小孩脸上的天花伤痕,这是天花遍布成人全身的样子,它能让你们更好的理解,天花是一种什么样的疾病
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Remember last time, we wrote this simple piece of code to print out even or odd. If, you know, x, 1 it was in fact, even or odd. So let me show you what a flow chart for that would look like, because I want to make a comparison point here.
这就像这里有一些脚蹼一样,首先进行测试，然后把球这样放来让ANS加,然后回来继续测试，最终跳出循环然后打印答案。
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Remember last time, we wrote this simple piece of code to print out even or odd. If, you know, x, it was in fact, even or odd. So let me show you what a flow chart for that would look like, because I want to make a comparison point here.
记得上节课我们写过的,那个显示奇数还是偶数的程序么，如果，你知道，x，实际上是奇数还是偶数,那么让我来为大家画个这个程序的流程图吧，因为我这里想为大家做个比较。
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Now. You might look at that and say, well that's just a lot like what we had over here Right? We had some additive constant plus a simpler version of the same problem reduced in size by 1.
现在你可能会看着这个说，这很像我们以前做过的,对不对？我们用一些附加的常量,加上问题的另外一个规模缩小了1的,简化版本来代替这个问题本身。
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Meaning, I'm just going to write a little loop that does that. All right, so let's go back to our code. That's right, let me pull this over a little bit, so I can see it. And what I'd like you to look at, I'm going to highlight it just for a second here, is those two pieces of code.
意思就是我只需,写一个小循环就可以了,让我们回到代码,让我们向下拉一点,我才看得见,我希望你看看这里。
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What would a community ? of Socratic citizens look like, each one picking and choosing, you might say, the laws or the rules to obey or to follow or not to follow.
苏格拉底式的公民社群,会是什么样子，每个人都自己挑选，想服从,遵守及不遵守的法律。
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