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Now Joseph's brothers are jealous of Jacob's partiality to Joseph, And they conspire to be rid of him.
现在约瑟夫的兄弟们都妒忌雅各布对他的偏爱，他们密谋要解决掉他。
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they need to be able to talk through that problem with their peers.
他们要学会怎样和同龄人沟通解决问题。
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I'm thinking about a problem, I'm going to show you an example in a second, first thing I'm going to do is say, what is the thing that's going to change every time I run through the same set of code?
我要解决一个问题，我马上会让大家看一个例子，第一件我要做的事情就是,弄明白每次运行同样的指令集时,每次都会改变的东西是什么？
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So you see a problem like this in the real world; you see a problem on campus you might want to solve.
在现实生活中你会遇到这样的问题;,在学校里看到这种问题时，你会想要去解决它。
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We first have to get about the more general question what is it for me to survive period.
我们首先要解决更综合的问题,我阶段性不死意味着什么。
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This is going to turn out to do the trick as you'll find out in your homework assignment.
你们要在家庭作业中,解决这个问题
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That's why there's a lot of emphasis on sharpening your teeth by doing this class of problems.
这就是为什么强调要通过解决这些问题,来提高你的能力
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He always wanted to have a single kind of solution.
他总是想要唯一一种解决方法。
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So that's the topic that I'd like to address today.
这就是我今天要解决的问题。
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These are the problems of insurance that we have to deal with.
这些都是我们要解决的问题
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So, there is still problems to solve in doing this.
因此,要做到此事还需解决一些问题
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and stuff is much more important than doing tons of problems particularly...
比只是解决问题要重要得多……
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and there are legal controversies and conflicts that need to be resolved.
有很多法律争议和冲突要解决。
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So, the problem we have to solve to help people like MikeIs to find ways to cause those parts of cortex to develop properly when they are children or have them re-learn as adults.
因此，我们要帮助像迈克这样的人解决的问题,就是找到他们在儿童时期使,这些皮层进行发展,或者成年以后再学习的方法。
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Because if b was odd, then b minus one is even which means on the next step, I can cut the problem in half again.
这意味着我在下一步里解决的问题,规模要小了一半，好，课堂材料的第三题。
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It doesn't do anything but at least that's one bite out of this problem.
虽然这个没起到任何实质性的作用,但是我们朝着我们要解决的问题迈出了一小步。
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We're going to do the same thing here, we're going to chart out a little bit of what should go into actually making this thing work.
我们要去画一个小小的流程图，来指导问题的解决,那么这里是一个很简单的。
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The only way to avoid that is to lobotomize me, and that's not desirable.
唯一的解决方法是作额叶切除术，那不是我想要的。
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Then, here is what we actually do.
然后,这就是我们真正要解决的问题
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Well, realize one of the themes in this course and really one of the themes in programming and solving any problem with a machine is going to be really to just take small bites one at a time out of these problems until the end result ultimately is that you've actually bitten off a fairly large fairly interesting problem and in the aggregate, you've actually implemented something pretty sophisticated.
好吧，让我们先想一下这件事带给我们的主题,编程和解决问题的思想,一台机器最开始只会一步一个脚印,沿着要解决的问题向前迈进,直到最终的结果出来,最后你会发现，你已经解决了一个相当大,相当有趣的问题，而这个问题在最初看起来确是相当复杂的。
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The second question I want to ask is what's the base case? When do I get down to a problem that's small enough that it's basically trivial to solve? Here it was lists of size one. I could have stopped at lists of size two right. That's an easy comparison.
第二个问题是什么是基础条件？,我要将问题分解到何时才使得问题,小到可以解决的基本问题？,这里是当列表的长度为1有时候,我也可以在长度为2的时候停止分解,那是一个非常简单的对比。
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So no harm is done, once we've clarified the question that we're trying to ask, if we summarize that question in a bit of a jargon or slogan.
其实没什么的,一但我们证实了我们,试图想要解决的问题,如果把这个问题用术语或行话简化
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We won the first case, which we really thought settled it.
我们赢了第一个案子，我们真的想要解决它。
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We'll see why they have to separate that in a minute, but they do that these lipid bi-layers solve that problem for them and they're self-assembled structures from these molecules called phospholipids.
我们马上会讲到为什么要把它们隔离开,脂质双层膜解决了这个问题,而这些自主装结构,就是由磷脂分子组成的
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Indeed, to get at that question, the first thing we're going to have to think about is what are we?
事实上，要解决这个问题，我们首先要考虑的是，我们是什么？
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We're going to come back to this row and we're going to figure out not just this equilibrium, but all equilibria.
我们要回到这一排,我们将解决不仅这个均衡,而是所有的均衡
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It's just not possible to solve some of these problems by hand and this isn't even a domain that's necessarily into the world of CS but speaks to you the applicability of it all.
手工处理这些问题似乎有些不大可能,但这还不是,计算机科学要解决的主要问题,我们的目的只是为了告诉你它的用途。
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OK. I know. It looks boring. But it's a structure of the things I want to think about when I go through trying to take a problem and mapping it into a iterative program.
好，我知道这看起来有点无聊,但是这是我要去以迭代的方式,去解决一个问题采取的,措施的大致结构。
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Now, I want to do one concrete problem where you will see how to use these derivatives.
现在我要解决一个具体的问题,从中你会明白如何运用这些导数
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These are going to be fairly common-sense definitions, but they're important, and when you get to a problem set, really nailing down what the system is, not more, nor less, in terms of the amount of stuff, that's part of the system, it's going to be often very crucial.
这些是,很常识性的定义，但是很重要，当你要解决问题时，务必要搞清楚系统是什么，它包含多少物质，不能多也不能少，这往往,是非常重要的。
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