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I invite you to try this formula whenever you want.
我建议你们找时间自己算一算
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So if you try to find out a little bit more of like the philosophy behind this language,
所以如果你努力找出一些类似语言背后的哲学之类的东西，
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One tip about this, try to identify all the dominated strategies of all players before you delete, then delete.
这里有一个窍门,在剔除之前试着找出,所有参与人的劣势策略,然后再剔除它们
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I hope you can see this because I'm going to try and simulate what a merge sort does. I've got eight things I want to sort here, and those initially start out here at top level.
我希望你们认真看,因为我要尝试着模拟出归并排序的操作过程,这里我有八个元素进行排序,第一步是将它们分成两半，对吗？
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I'll try to give you some social and historical reasons why this is the case, but in the meantime is important to recognize, too.
我会给你们一些社会历史背景来解释为什么,但是除此以外，他也是为了被认同而在斗争。
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And then what I'll try to do during this lecture is giving you a broad overview about some of the innovations in the educational uses of technology.
在这个讲座中我将会,对一些将技术应用于教育领域,的创新之举做一个综述。
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So, you would try to take your message to one of the Pan Hellenic festivals which were getting organized about this time.
所以你要试着把你的消息带到,一个即将举行的泛希腊的节日上
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OK. We're going to just try this one more time just so you can see it.
好的，我们将要再尝试一次,这样你们就可以看到它。
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You can ask people-- and this is a way which we talk to our children when we try to get our children to expand their moral concern of compassion.
你可以叫人们…,我们就是这样教导我们的孩子的,当我们想让我们的孩子,提高他们同情他人的道德观念时。
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They had a little bit of a problem around World War II and you can try to bridge the gap, but--anyway, there are people who have tried to sort this out.
他们在二战期间的数据可能有所缺失,不过可以试着弥补这个缺失,但是,无论如何,仍然有人想方设法整理这些数据
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If you think about it conceptually, try to figure out, well, I got this board up here, this tapestry, or whatever, where's my melody going to be in the texture: high, middle or low? Michael?
请从概念上来思考它,试着找出,面对这块黑板,或挂毯,或任何东西,我的旋律该在织体的哪个位置,高,中间,还是低,迈克尔你说
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They take those descriptions and the scientist that is known and they try to design new things, and so if you look at a dictionary it has words like this, that you're designing things or another way to say that is that you're trying to apply science, you're looking at applications.
他们利用已知的,科学原理和描述,来设计新东西,因此,如果你查字典时看到这样的词条,设计产品或者换句话说,试图应用科学原理,那么你看的这个词就是应用
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Well, for those of you who want to try it, you probably could pass this class and maybe even get an okay grade without doing the readings.
对于有些人如果你想试试看，你很可能能够通过这门课,甚至可能得到一个不错的评级,假使你不做课外阅读。
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I would just say that in my experience you really have to want to do this, I would definitely encourage people to be aware of the breath and try to be mindful, but remember too it's very difficult for us to leave the negative feelings.
我只想说,根据个人经验，确实要真心想这么做，我肯定会鼓励大家,留意自己的气息，并尝试着留心察觉，但让我们抛下负面情绪,也非常困难。
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The most important result from last time was that if you took this r, and you took two derivatives of this to find the acceleration, d^2 r over dt^2, try to do this in your head.
上节课最重要的结论,就是如果你把 r 写成这样,对 r 求两次导就能得到加速度,d^2 r / dt^2,心算一下
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You may be tempted at this point to just zone out Try not to.
你要是害怕了可以现在撤退,但是我建议你们还是坚持一下。
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But, you know, this undergraduate's very eager to do it, let's let him have a try.
就不值得我再花时间,寻找是否有粒子。
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How many of you have heard the term used before? How may have you heard the term used before in terms of programming languages? Great. For the rest you, don't sweat it. This is a highfalutin term that computer scientists use to try and make them look like they're smarter than they really are.
这里就要引入递归的概念了,你们中有多少人以前听过这个词？,你们中有多少人在编程语言中,用过这个词？,很好，剩下的同学也不要担心,这是电脑科学家们用来让自己,显得更聪明的夸张词汇。
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That's a little bit of a tricky question but-- So, do the best you can on it and think-- try to think about what this kind of theory would imply for gambling behavior.
这个问题有些难度,但是...,尽力思考这个问题,思考下这一理论,该如何应用到赌博行为上去
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Before I do that though, let me try and give you an analogy to keep this in mind of why we want to basically build these abstractions and what we need in order to have them work together.
在我们看例子之前请让我打个比方,以便你们能记住我们,为什么要建立这些抽象,以及要使它们协调工作,我们需要做些什么。
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hey'd rather single step it through using Idol or something, than just read it and try and figure things out. The most important thing to remember when you're doing all of this is to be systematic.
比起阅读代码发现错误来他们,宁愿用内置的操作层,或者其他工具一步完成,你要记住的最重要的事情,就是要系统化的去做调试。
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What I'm going to do is focus on a couple basic things that turn out to be really important for general applications, and then I'll talk not in too much detail about a few applications of DNA that you're probably familiar with to try to give you a framework to hang this on.
我要重点讲一些基础知识,这些知识在一般应用中十分重要,然后我会简略的讲讲,关于DNA的一些应用,你们可能已经比较熟悉了,我只是试着给你们打一个框架
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This is once you've decided that you're going to be an active manager and try and pursue market beating strategies, how do you decide where it is that you want to spend your time and energy?
一旦你决定了要当主动管理型基金经理人,努力追求高于市场收益的策略,你会如何决定,在哪些方面投入时间和精力
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