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By the way, after class, I'm more than happy to stay as long as needed to answer any questions you guys have or to talk about whatever issues you'd like to bring up, but probably what makes sense is for me to power down the computer and pack up and then we can stand out in the hallway and I can answer questions out there, that way the next class can get in and the instructor can work unimpeded.
顺便说一下,课后,我很乐意多待一会,来回答你们的问题,或者讨论一些你们提出的问题,但我最好是,把电脑关掉,收拾好东西,然后在走廊里来回答你们的问题,这样下节课才能照常进行,老师也能正常授课
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So it's kind of... it's nice that you can choose because I feel like you have a better time in class.
可以自己选课是件很好的事情，因为这样你在课堂上感觉会更好。
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You can't take the exam unless you're registered for the class, and we need to make sure we can verify that.
否则你是不能参加这次考试的,除非你注册了这门课，而我们需要确定你能证实这一点。
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If you don't make it to class, contact your TA, your recitation instructor, and you can take a makeup within a week of the time of original test.
如果你不能来上课，联系你们的助教，背诵课的老师，你可以在测试后那个礼拜内,找时间补回来。
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Okay, if anybody has questions about this one in particular you can ask Christina after class or at a different time.
如果大家有问题想单独问她,可以在下课后或其他时间问她
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So, all right, we'll try and make this class work as smoothly as we can, allowing for this extra thing.
我会尽量让,课堂顺利地进行下去,还有一件事
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Now, this is a large class, and if you don't do anything about it, it can be very anonymous.
这是一门大班课程,如果你并不打算和周围人相互介绍的话,也就不会有什么人能够认识你了
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One of the things we want to help you do is identify the different classes of algorithms, what their costs are, and how you can map problems into the most efficient class to do the computation.
我们想要教会你们的事情之一就是,学会辨别不同种类的算法，它们的代价是怎么样的，以及怎么样把问题映射到,最有效的算法种类中去做计算。
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In the meantime, Trotsky's book is a shot fired across the bow of those forms of "aestheticism"--quote, unquote -which can be understood as self-involved, self-preoccupied, and indifferent to history and class struggle.
同时，托洛斯基的攻击唯美主义,他这样评价，它,唯美主义可以被理解为一种纯粹的自我欣赏，漠视历史和阶级斗争。
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If you decide to opt in by a pass fail, I just need to sign your white study card or if you wanna decide before the 5th Monday, just grab the pink slip and I can sign that and you can turn that in at any point and I'm happy to chat during break today or after class if you have any questions or concerns.
如果你上我们的课程只是要一个分数，那么我只需要在你的白卡片上签个名就可以了,或者说，如果在第五周的周一前还没考虑好，把你的解聘书拿来，只要我签个字,任何时候你都开以离开我的教室,当然，如果你有任何问题和疑虑,我也很高心和大家做课下交流。
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So if you can have a piece of paper here, and you fold it 41 times by the end of the class, you can reach the moon.
如果你们有一张纸，再在下课之前折叠41次，你就能碰到月亮。
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What more can you ask for from a class?"
你还想从一门课中要求得到些什么呢“
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So always amazing to us how we go into the problem, our eye or mind can see one class of solutions, but the math will tell you sometimes there are new solutions and you've got to respect it and understand and interpret the unwanted solutions, and this is a simple example where you can follow what the meaning of the second solution is.
解决问题的方式总能让人惊喜不已,我们的眼睛或思想可以看见一类解,但数学有时会告诉你还有新的解,你不能忽视它,而是解释这些不期而至的解,这只是一个简单的例子,由此你可以理解第二个解的意义
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I, I can't imagine not taking some kind of humanities class, just as a requirement, you know, for freshman.
对于新生，我实在无法想象不把人文科学当作必修课。
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There was a boy in that class who was a great hacker and I know he can hack things very quickly.
班上有个男孩，是一个很厉害的黑客，可以迅速地入侵系统。
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So, I take that that's all right with you-- that you can come to a special section of this class.
我假设对你们来说,时间不冲突,你们可以把这当做特殊课时
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I can't wait for next year's class to do it.
我都迫不及待地域下一届在尝试了。
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He was a Yale graduate, class of 1914 and unfortunately I seem to have misplaced-- Well, I can generate a little bit of it here.
他是耶鲁1914级的毕业生,真不巧,我找不到乐谱了,好吧,我试着弹一段吧
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So there was a good question in Wednesday's class about the de Broglie wavelength and if it can actually go to infinity.
在周三的课上有个关于德布罗意波波长的问题,非常好，就是它能不能到无穷大。
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7% 77% is class average and the standard deviation was 17% so you can see where things lie. 50% is a pass.
7是平均水平，标准偏差是%,这就是事情所在，50%就及格。
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Now I have the ability to say, I've got a new class, I can create instances of a line segment, and it's elements are themselves instances of points. OK?
这就是我们要讲模块化的地方了，现在我可以说，我创建了一个新类，我可以创建线段的实例了,这些实例的元素？
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You can stop me any time and you should not feel somehow you are stopping the progress of the class.
你可以在任何时候打断我,而且你不必担心,你的问题就会打断课堂的进程
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Think of that. And while you're thinking about it you can start reading Plato's Apology for Socrates which we will discuss for class on Wednesday.
想想这个问题，此外，你们可以开始,阅读柏拉图的《苏格拉底自辩篇》,我们将在周三的课堂上讨论。
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So this application is not as important as soccer, but it's a bit more Economicsy, so I can justify it under the Economics title of the class.
虽然接下来的案例不如足球那么重要,不过它们都是经济学案例,所以我们可以用经济学的知识来解读
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Under-nutrition--now I'm going -this slide has a lot of information on it and I'm going to come back to it in the class where we talk about hunger, but I show it today because of course undernutrition can affect every single system of the body and can have devastating consequences on people's health.
营养不良,这张幻灯片上有很多关于营养不良的信息,以后讲到饥饿的时候,我会再回头来讲这张幻灯片,我今天让大家看是想告诉大家,营养不良一定会影响身体的每一个系统,并对人们的健康造成巨大的破坏
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I want to mention that 5 you're going to get problem-set five is posted today, and I'll write which ones you can already do so far, because you don't have class on Monday.
我要指出的是,今天会贴出来习题集，我会给出你们现在可以做的题目，因为周一没有课。
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If any of you guys have questions after the class we can meet outside and talk about those.
如果你们有什么问题的话,欢迎课后来找我,我们一起讨论
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So, if you by chance, I know it's very rare, but if by chance you don't get the class you can always follow up later.
如果你们偶然，我知道不太可能，但是如果不小心你们错过了某节课,你们就可以在之后补回来了。
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