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So we've seen one example of this, this idea of walking through all the integers looking for the square root.
现在计算机速度很快了，我可以把这个数字设的更大点,计算机会去很快的做这个事情。
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because he has too much work to do but not enough time to finish everything.
因为他的工作量太大了，却没有足够时间把每件事做完。
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And actually, a question that might come up, I just explained, the sodium channel, you might say, well, how do potassium channels work then, because I can understand how you can filter something big out, but how do you filter out something small.
实际上，可能大家会问一个问题，我刚解释过，钠离子通道，你可以说，好吧，那么钾离子通道该如何起作用呢，因为我可以理解你是如何把大东西过滤掉的，但是你如何把小东西过滤掉呢？
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What was the divide? The divide was breaking a big search up into half a search.
什么是分解？分解是把一个大搜索过程,分解成搜索一半的过程。
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We put students in classrooms or in lecture halls in higher education, and we talk to them.
我们把高等教育的学生放在,大教室里，然后对他们说教。
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If you want to, you could think of this class as one big hypothetical.
如果你想，你可以把它想象成一个大的假设。
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Now, I don't know how far back it goes but it must be that in ancient times some people would say, all right you're going to be doing more work or you're contributing more to this enterprise, we'll give you a bigger share of the profits.
我不知道这能追溯到什么时候,但在古时候肯定有人说,好吧,你比别人干得多,你对公司的贡献更大,我们会把收入的大头给你
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But when you have many page views and that many people spending much time on the site, you can monetize it pretty easily just by putting matters on there.
当拥有那么大的访问量,当人们花大把时间在你的网站上时，仅靠投放广告,就能轻松赚钱。
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So let's take our hot reservoir and draw it bigger.
这是我们的高温热源，把它画得大一点。
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So nowadays they just pump you full of some drug to get you really happy and so you're really stoned out of your head, you're and say this isn't so bad.
所以现在他们让你服用大把的药物,让你飘飘欲仙,而你也因为吸食了毒品而变得神志不清，所以你会说，这方法还挺管用的。
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And concomitantly a second reason is that that Civil Rights revolution also brought, through its process, a huge discovery at the same time of Northern racism, when Martin Luther King brought the movement to Chicago and nearly got killed doing it.
还有第二个理由就是,民权运动的经过也带来了一个大发现,那就是北方的种族主义,当马丁路德金把运动带到了芝加哥,他差点因此丧命
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so it's been really fun. We spend a lot of time at the parks,
因此那里非常好玩。我们在公园消磨大把大把的时间。
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Putting goods online allows them to reach a greater market,
把产品放在网上可以让他们接触到更大的市场，
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Schrodinger said I am going to take that same idea, and I am going to apply it to a larger scale system.
薛定谔说我将用同样的思路，我要把它用到一个更大的系统中。
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I kind of knew what I was doing when I walked down that road but anyway-you need to have a mix, even in a big company, of smaller entrepreneurial projects, bigger entrepreneurial projects.
当我开始创业的时候，只是了解一星半点,但是你们需要把各种事物综合来看，即使在大公司也是这样，把类型不同的创业共同对待。
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So, should I be drawing these boxes four times bigger since ints are four times bigger than chars usually?
所以，我应该把这个盒子画成4倍大,因为一般int型是char型的4倍大小？
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The next line says if the weight of i is greater than a w, well then I know I can't put it in.
下一行说的是,如果i的重量比a，w大，好吧，我知道我不能把它放进去。
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And when I do this test, what I want to do, is say I'm going to pick the middle spot, and depending on the test, if I know it's in the upper half, I'm going to set my start at the mid point and the end stays the same, if it's in the front half I'm going to keep the front the same and I'm going to change the endpoint.
如果我知道目标数可能，再比中值点大的区间里，我可能就会把开始点设为中值点,而尾点不变，如果在小的那个区间里,就保持开始点不变而把尾点设为中值点，你们可以看到这儿的代码,就是这么做的,对不对？它是怎么做的？
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Maybe I do have to make this bigger-- can you see this all right back there?
也许我该把图画大点,后排的同学能看清吗
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Moving a stack of size 3, again, if I want to go over there, I need to make sure I can put the spare one over here before I move the bottom one, I can't cover up any of the smaller ones with the larger one, but I can get it there.
移动上面的三个圆盘的话，我在移动最底下的圆盘之前，同样要确保剩下的,是在另外一个柱子上，因为我不能把大的圆盘,放在小的上面。
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You'll remember the description of the world from Genesis 1 as an air bubble essentially that's formed by separating waters above and waters below.
大家都记得《创世纪》1中，把世界的描述1,一个大气泡,上面下面都被水覆盖。
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The people who are in the know -know who's trustworthy as a borrower and who has a good prospect of paying it back -but if I go in there ignorantly, I'm going to get stuck with the worst stuff.
那些行家老手们,就知道哪些借款人是可信的,钱借给谁还款的把握比较大,但如果我懵然不知就把钱投进去了,就可能会落得个血本无归的结果
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W2 So in this case, it's the amount of work is the area under that curve. And in this case here, the amount of work is bigger, w2 is bigger and it's the area under this curve.
这是路径2做的功,比W1要大，现在假设,我把这两条路径结合起来。
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