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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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It is, of course, important if you use animal testing to treat the animals with as much dignity as possible.
如果要用动物做实验的话，请给予这些动物最大的尊严，我认为一点十分重要。
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Because, what do you think the mean should be, if I simulate various things that the bias of 0?
因为，如果我用0作为偏向值，你觉得我会得到多少的平均值呢？
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and in fact in art and in religion, if I don't recognize my pain and confusion and suffering, it is not, in my words, self-vific.
事实上，在艺术和宗教中，如果我不面对我的痛苦，疑惑和苦难，那么艺术就不是，用我的话讲，有现实意义的。
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All right, so the bonding order, you're correct, should be 2, if we subtract the number of bonding minus anti-bonding electrons and take that in 1/2.
好，你们是对的，键序为，如果我们用成键数,减去反键数除以2。
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Instead if we want this pointer to represent the address of something in as much as it points at that address let's just draw an arrow.
如果我们想要让这个指针表示,数据的地址，它指向的地址,我用一个箭头表示。
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If I'm going to make insulin from this I have to know that I've got the introns spliced out correctly.
如果我要用这些来生成胰岛素,我就得知道是不是把内含子都准确剔除了
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But if I want to do it all in one shot, what is the equivalent step I should take?
但我如果想要一步完成,那我应该用什么样的等价步骤呢
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I could consume all of my income-- if I borrow against my future income, I could-- there's a problem here of starvation.
我可以选择花掉所有的收入,如果我用未来的收入作担保借钱...,不过我们还得考虑吃饭问题
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There's a line that I'm going to be developing, pushing, if you will, or defending in this class.
我用一条线来表示，如果你愿意推动或者保护这个课题。
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It is--at least, it puts itself out there as a candidate to be an alternative term that one might use if one got tired of saying "irony" or "paradox."
如果“讽刺“，“悖论“一类的词,用的太多,可以用“朦胧“来替换“
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So, if language seems exhausted because it's always preceding you, everything has always already been said, there's no new plot to be had, the world is full of stock phrases, how do you use them to embody an experience that seems fresh to you?
所以，如果因语言，在你之前就存在，而它就显得枯竭，如果一切都已经被说过，如果已没有新的情节可供创造，如果世界一直充满陈腔旧调，你如何能够用它们,呈现出一个崭新的体验？
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If one were faced with starvation, then seeking out fat as we discussed before, is a pretty good idea, but if one is not deprived of calories, then having fat may not be so helpful.
如果一个人面临饥饿,像我们之前讨论的去寻求脂肪,是个好主意,但是如果一个人不消耗热量,那么摄取脂肪就没什么用了
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Conversely, if you think the goalie's going to shoot to the right with probability more than a ?, then the best you can do is represented by the pink line, and that's shooting to the left, or if you think the goalie's going to dive to the right with the probability more than a ?, the best you can do, your best response is to shoot to the left.
相反如果你认为门将扑向右侧的概率,大于?的情况下,此时你最佳策略用粉线表示,即从左路射门,也就是说如果你觉得门将扑向右路的,概率大于?的话,你最好选择从左路射门
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Over all possible inputs to this function, what's the fastest it runs? The fewest, so the minimum, if you like.
哪个输入程序运行的最快？,用的时间最少？如果你喜欢的话，这个方法看起来不错。
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Does anyone have that in their brain somewhere for ready use? I don't, in fact, so it's actually okay if you don't know all your common ions, if you missed that part.
你们有谁有印象它们有什么用吗？,我当时是不知道，所以如果你们不记得,这部分也没有关系。
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You can go ahead and use that equation, or you could figure it out every time, because if you know the total number of nodes, and you know the angular node number, then you know how many nodes you're going to have left.
你们可以直接用这个方程，或者每次都自己算出来，因为如果你们知道了总的节点数，又知道角向节点数，就知道剩下的节点数是多少。
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One way to think about it, if we want to use a classical analogy, which often helps to give us an idea of what's going on, is the spin of an electron, we can picture it rotating on its own axis.
如果我们用一个，经典的比喻来考虑它的话，这经常会帮助我们建立起一些概念，就是我们可以把电子的，自旋想象是它绕着轴自转。
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And if we're talking about things in spectroscopy terms here, this is what we call a doublet.
如果我们用光谱学术语来说，这叫双峰。
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If I know I'm going to need something over and over again, I squirrel it away somewhere and then get it back when I need it.
如果我知道我将要反复,使用一个东西时,我会把它贮藏起来以后用。
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Well, if you're implementing a computer that needs to represent information now all you need is something like electricity which can be on or off, on or off.
好吧，如果你正用一个电脑,来表现表达传递信息的功能,你就需要,像电开关一样的物体。
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I can use that to return values, which I can then use elsewhere, which I did-- and if I just come back and highlight this-- inside of that computation.
我可以用它来返回值，然后我可以在别的地方使用这些返回值，正是我做的--如果我回过头来,在高亮一下这个--在这部分计算内部。
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If you were searching for unique populations of cells within the bone marrow what tools would you use to look for them?
如果你要在骨髓中,找一组特定的细胞群,你用什么工具来找呢
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And when we talk about intensity in terms of units, we usually talk about watts, so if you change your lightbulb, usually you see the intensity in terms of watts.
当我们讨论强度的单位时，我们经常用瓦特，所以如果你更换灯泡，你通常会看到,以瓦特为单位的强度值。
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Not so easy to see. All right, but this is actually a great one of those educational moments. This is a great example to think recursively. If I wanted to think about this problem recursively- what do I mean by thinking recursively?
看不太出来，好，但实际上是一个有教育意义的时刻,这是一个很好的关于递归的例子,如果我用递归的思想,去考虑这个问题-,我该怎么用递归去解决这个问题呢？
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If I look for, say, minus 1, you might go, gee, wait a minute, if I was just doing linear search, I would've known right away that minus one wasn't in this list, because it's sorted and it's smaller than the first elements.
如果我要查找-1，你可能要怒了，呵呵，等一等，如果我用的是线性查找，我不会知道-1不在这个列表中,但是列表是排好序的,1又比第一个元素小。
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I've added the ability to have more complex data structures here. But I dropped a hint in the first lecture about what you could computer with things. In fact if you think for a second about that list, you could ask what can I compute with just that set of constructs?
我添加了使用更复杂的数据结构的能力,但是我在第一节课给大家了了一个,关于你可以用什么来做计算的暗示,实际上如果你思考,这个列表一会儿的话,你会问我可以用？
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You can take a problem that might be relatively intuitive to solve but when you scale this thing up as is increasingly the case in the web, in large data systems, and so forth, you actually have to now think smart, you actually have to think efficiently and you have to solve this problem effectively.
你可以把一个问题用比较直观的方法解决,但如果你把此类问题的数量增大,正如越来越多的互联网，和大规模数据系统中出现的问题等等,你应该考虑怎样才能更简便，怎样才能更高效,你应该用行之有效的方法处理问题。
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Then also you'll be asked to do identifying information if you print it out from the program itself, but if you go up to your web browser print option and print from that particular thing then you can do it and no identifying information will be necessary.
如果你想直接从网上打印分析结果,就得提供个人信息,但是,如果你用浏览器中的打印选项,只打印营养分析结果,你就可以打印文件而无需提交个人信息
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A TSV file, tab-separated values uses the same thing but a tab character, if you wanna output an actual tab character, the result of hitting the tab key, \t you do use backslash T. That's so those kinds of files are made.
而TSV文件，“制表符分隔“文件,顾名思义，就是用制表符来分隔每一列，如果你想输出一个真正的制表符，点击tab键，你也可以用,这就是那些文件的形成方式。
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