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And when you have an optimal substructure and the local solutions overlap, that's when you can bring dynamic programming to bear.
当你得到一个最优子结构,但局部解决方案有重跌时，你就可以引入动态编程,来解决这个问题了。
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when we're discussing an issue, that are definitely very different points of view.
当你讨论一个问题的时候，当然有非常不同的观点。
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We use the whiteboards alongside one of the walls, where you just write down your name if you have a question.
用其中一面墙壁旁边的白色书写板，如果有问题，你只要在那里写下你的名字。
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Idle can-- that's exciting. I hadn't expected that answer. All right, your question.
这很令人振奋，我从没想过答案会这样,好，你有什么问题么？
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Your question relates not only to my personal family, but to the ancestors in faith, the little ancestors in terms of slaves.
你的问题不仅与我个人的家庭有关，更与有信仰的祖先们相关，与早期的奴隶们有关。
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I'm going to ask you three questions: "Have you been in London? Do you have a younger sibling?"
我会问你三个问题：,“你去过伦敦吗？你有弟弟或妹妹吗？”
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And with some generals or with whoever else, homeland security, how did you go about settling these fights?
或者是和其他官员，关于国分歧家安全问题有分歧，你是怎么处理这些分歧呢？
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The question is not, "Can you imagine me with a different name?"
问题并不在于,你能否想象我有另外一个名字
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There we go, okay. So here's the tough question.
就你了,我问个有难度的问题
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You're confident you can reply to all of these?
你似乎很有信心能回应这些问题？
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You're interested in other one's problem, and you're always trying to help,
你对别人的问题有兴趣，你想帮忙，
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It's a good sort of question that gets raised in such a problematic allusion: how do you set out to write an original poem within such a conventional genre like the epic?
对于这样一项有问题的引用,提出这些问题是很好的：,你怎么能开始写一篇标榜原创的诗作,却使用史诗这一传统的文体呢？
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Okay, it could be a bit of a problem if this text has become the basis for a system of religious faith or belief, and your assumptions about it are that its telling a truth that is singular in nature.
如果这本书成为一些宗教信念系统的基本,那就有问题了,你会臆断，这本书上的都是真确的，都是非凡的。
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Let's say you have four questions, you have 50 minutes, take out five minutes to read the paper, so that's 45 minutes.
你有四个问题，你有50分钟，花5分钟阅读考试，剩下45分钟。
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I said, "Well if you can understand tomorrow's lecture that's today's lecture-- then you should have no problem."
我说,如果你能听懂明天的课,也就是今天这课,那你不会有问题的
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It means that to the problem you posed, there's more than the answers that you could imagine.
这表明你所提出的问题,有超出你想象的答案
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So once you look at Star Festival then you can think about the questions you have to answer and then question maybe the same thing I ask myself: who am I? While maybe some other questions.
所以当你看“七夕“的时候,你可以考虑你必须要回答的问题,这个问题有可能是我问自己的那个同样的问题：,我是谁？或者其它的问题。
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Perhaps, there is a difficult question that you want to ask somebody.
假如你有一个比较困难的问题想询问其他人。
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And also like the normal academics, like what classes were you taking,
也有一般学术方面的问题，比如你上什么课，
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What this basically means is, you're given some problem to solve, that you've never seen before.
我们还会再讲讲这些内容,最基本的意思就是你有一个问题要处理。
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If you have a piece of scrap paper with you, suppose that you've started your program as follows.
如果你有一张废弃的纸张，假如你已经开始了以下的问题。
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So, for example, when you have the issue like Hebron Right? So there is a lot of religious tension there. Because ... it's an ancient side, or Jerusalem.
比如说,当你有希伯伦这个问题,就会有很多宗教的紧张局面，因为。,这和历史有关，或是关乎耶路撒冷。
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That's a lot harder of a problem to solve if you need to reconstruct the fragmentation, yeah.
如果你需要重构这些碎片,会有很多很难的问题等着我们。
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To have a stereotype is to be-- is to have something wrong with you.
说你有刻板印象-,就是说你有问题。
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So, for example, there's a magician-- The question is not, could I explain to you how the seance manages to do the amazing things that it does?
比如说,有一个魔术师,问题不在于,我能否给你解释通灵任何,做到这些惊人事情的
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The question was how many rabbits do you have at the end of a year? At the end of two years? At the end of more than that number of years, and so. We can do this with the following level definition. We're going to let pairs of 0, the number of pairs at month 0, actually it would not be it would be 1.
在下一个月末的时候让我们假设,这2只小兔子也有了后代,同样是一公一母,问题是一年后你会有多少只小兔子？,两年后呢？更多年后呢？,我们可以用接下来的等级说明来解释，在第0个月有0对兔子。
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But in many regards, it is a matter of space, a matter of supplies, a matter of security where issues come out which don't really matter whether you believe in religion or not.
但是就各种方面来说，是关乎空间，关乎资源供应，关乎安全,这些问题并不一定和你,是否有宗教信仰有关。
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And, if you have trouble balancing equations, you can look in section 2.11 in the text.
如果你在配平方程式方面有问题，你可以看看课本中的2。11节。
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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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And this is often followed up, seriously enough, " "You have deep psychological problems."
通常下面他们就会说句相当严重的话，“你有严重的心理问题“
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