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There are two problems with the scientific theory.
理论是否科学可以由两个方面进行判断。
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So we've looked at how to solve square root we've, looked at two problems, I've tried to instill in you this sense of paranoia which is so valuable, and now we're going to pull back Python and return to something much simpler than numbers, and that's Python. All right?
我们已经研究了如何去求平方根,研究了两种方法,我一直在尝试着给你们逐渐灌输,要偏执的理念，这样的理念非常有价值，现在我们回过头来去学习一些,比数字更简单的东西，也就是,对不对？数学问题很难？
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All right, so unlike the other game, the two examples of coordination games we saw so far were really pure coordination problems.
没错,这和之前的博弈不同,目前为止我们看到的前两个案例,是纯粹的协调博弈
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Then next week we'll do more complicated problems that involve motion in higher dimensions, how to go to two dimensions or three dimensions.
下周我们将会处理更复杂的问题,包括更高维数的物体运动,如何处理二维以及三维运动
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So with problems at zero, ; which will be posted in two forms; PDF PDF for standard and PDF for hacker on cs50.net tonight, you will have the choice of implementing pretty much any scratch projects you can think of, and which subject to very few constraints.
对于问题集，我们提供了;,标准PDF以及可编程,今晚它们都会被放在CS50，net上，你可以选择任何,你想到的项目，范围不限。
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OK. And then the exponentials, as you saw is when typically I reduce the problem of one size into two or more sub-problems of a smaller size.
好，然后说到指数级，正如你所见，典型的例子是,我讲一个问题分解成为,两个更小规模的子问题。
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Now, when we talked about optimization problems in dynamic programming, I said there were two things to look for.
现在，当我们讨论,动态编程中的最优化问题时，我想说有两件事需要注意。
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That this recursive call had two sub-problems of a smaller size, not one.
而不是一个,这会有很大的不同。
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Notice if I'm going to have two different sub problems I need to have two base cases here to catch this. And if I only had one it would error out. And as a consequence, I can go off and ask about rabbits. Let's see.
我需要定义两个基础事件来处理它,如果我只有一个基础事件的话就会产生错误,这样我就能够知道到底有多少只兔子了,让我们来看看，在第12个月末,没那么简单，在第二年末兔子就很多了。
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