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We've been discussing energy diagrams a lot in this class, it's a very good way to visualize exactly what's going on.
在这个课里面，我们已经讨论过很多次能量图了，它通常是一个很好的把所发生的事情形象化的方法。
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It's a good time you are in college at university and you're almost done. You've finished your last class.
你在大学度过了一段美好时光，你快要完成学业了。你已经上完了最后一门课。
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For those of you who have had a course in probability and statistics, there will be nothing new here.
对于已经,学过概率和统计的同学来说,这堂课就没什么新鲜的了
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There are lots of other people in this course and there have been lots of other people in this course like you.
现在在修这门课的不止你们这些人,也有很多人已经修完了这门课,就像你们一样。
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The first reading is available online and I'll talk more about the readings when I get to that portion of the lecture here.
第一份阅读材料也已经在网上了,关于这个阅读材料,在这堂课的相关部分时我会再讲到它
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So, in your recitations sections, I have asked the instructors not to do that.
所以，在你们的背诵课上，我已经让讲师不要那么做了。
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Okay. Last thing: This course, as you may have noticed from our friends behind us, is being filmed as part of the Yale Open Courses Initiative.
好，最后一件事,你们可能已经留意到我们身后的人，这门课正被拍摄下来成为耶鲁开公开课的一部分。
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I welcome that because I've seen this subject for God knows how many years.
我鼓励你们这么做是因为我教这门课,已经很多年了
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They thought everyone who'd be taking this class would be taking it because they are already really happy and they want to study about how amazing they are.
他们认为每个上这门课的人会上这门课,是因为他们已经很幸福了,他们想研究自己到底有多棒。
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What it means is I don't want to take unique time that we could be discussing other things in class by covering things that you could have read already.
这只说明我不想在课上单独花时间,来讲你们可能已经看过的东西,这个时间可以用来讨论其他内容
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You'd be wasting your time, wasting your money here, so don't do this if you find at the end of this you've got sixteen, seventeen, eighteen of these correct.
你是在浪费你的精力和金钱,所以如果发现你在小测验最后,已经能够答对百分之七八十,那就不要选这门课了
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Now that definition, if you're worried about what I've written down here and you want to see it in words, on the handout I've already put on the web that has the summary of the first class, I included this definition in words as well.
对于这个定义,如果你还有些疑问,而且你想看用文字表述的,在讲义中有,我已经上传到网上了,里面有第一节课的总结,也这个定义的文字形式
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Boy, there's a dumb question, because I've been telling you n log n for the last two lectures the complexity is n log n, but let's see if it really is.
孩子们，这是一个愚蠢的问题，因为前两节课的时候我就已经告诉你们了,复杂度是,但是让我们来看一下是不是真的是这样。
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I've gone through a series of such arguments, and the one that we ended with last time was the suggestion that we need to believe in the existence of a soul in order to explain the fact that we've got free will.
我已经讲过一系列这样的论证,上次课结束时我提到的一个论证认为,我们只有相信灵魂存在,才能解释我们拥有自由意志这一事实
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but that class got filled up, because I had a late Phase One for example, and so.
但是那个课已经被选满了，因为我在第一阶段选晚了。
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I've had a lot of people in classes, who... They aren't like, specifically famous,
我已经在课上见过许多人，他们……他们并没有看上去，特别出名，
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Let me say, I've been teaching this course now for over twenty years and I'm very proud of all of my alumni.
那个...,我教这门课已经有20多年的时间了,我为自己的毕业生所骄傲
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I have asked all of my recitation instructors to state office hours.
我已经叫所有背诵课的老师,安排办公时间了。
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So at the end of this first lecture where I've gone some way I am trying to tell you what Biomedical Engineering is about, I thought I would try to relate it in a different sort of way.
在第一堂课的最后,我已经从几个方面为你们描述了,生物医学工程是什么,我想可以试试把它和其他学科联系起来
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What we're going to talk about next time, and I encourage to read ahead because you'll see that there's a lot more detail in Chapter 6 than what we're talking about here, I've emphasized the main points, the ones that I think are important, that are clearly important for your understanding.
我们下次课要讲的内容,我鼓励你们去预习,因为在书上第六章你们会读到一些细节,比我们课上讲的要详细得多,重点我已经强调过了,我认为它们很重要,显然,这对你们理解知识很重要
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That'll be enough for this course.
那对于这门课来说已经足够了
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I'm going to talk about - take sort of the general concepts that we talked about last time and talk about how they apply in two physiological systems, the nervous system first and then the immune system.
我将要谈到几个基本的概念,我上节课已经讲过一些了,再讲讲这些概念在两个生理系统中的应用,首先是神经系统然后是免疫系统
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And this movie, i don't know if I would recommend it that much, it's... Perhaps I'm being too pC, but I'm not convinced that for the modern woman, hanging around waiting for your prince to come is really a good strategy.
这部电影我真不知道怎么推荐给大家,也许我已经老了吧,但我课不觉得现代的女性四处游荡,等待你的白马王子出现是个好策略
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Those of you more comfortable, rest assured we'll start filling in some gaps before long if you're already familiar with this.
那些程度比较好的同学，我们马上来讲一下以前遗漏的问题,如果你们已经熟悉这门课，那会觉得那容易接受。
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I stressed in the third lecture that like any--insurance, like any other risk management device, is an invention.
在第三次课上我已经强调过了,保险和其它风险管理工具一样,是一种发明
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Last time we worked through this idea of the scale and how you can build triads on each of the members of the scale.
上节课我们已经讨论过音阶中的这个概念,以及你们怎样才能在音阶的各个音上组建起三和弦。
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I have instructed them not to give you a fourth and fifth lecture.
我已经叫他们不要给你们第四,和第五课了。
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Oh, by the way, talking about under enrolled subjects, the complementary subject offered by STS called History, Society, and Solid State Chemistry meets Tuesdays and Thursdays at 11:00 in room 2-136.
顺便说一下，关于已经选了的课，由STS开设的补充课程,历史课，社会社和固体化学课,在2-136教室的11点，在周三和周四上。
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I'd last time talked about the two assert statements.
上节课我们已经探讨了,这两个断言语句。
应用推荐