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I wrote it down your notes, if you can put a big star next to it so you don't forget this.
我写在了你们的讲义里，如果你们在旁边画上一个,大星号就不会忘记了。
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putting it with regular clothes to make it dressed down. But you can dress it up with heels.
跟日常的衣服搭在一起，显得随意一点。不过，你可以搭双高跟鞋。
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I can't go down to the registrar and say, you know, I'd really like to do it at another time.
我不能去和登记的人说，我想要换个时间。
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But you can write it down It's a concept that links itself to a literary or verbal written expression.
但是你们可以将负二的平方用笔写下来,那是种概念，能将其自身,与文学或文字书面的表达连接起来。
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OK, and you can see that this thing ought to unwrap, it's going to keep extending out those multiplications until gets down to the base case, going to collapse them all together.
好，你可以看到这种方法,是怎么解决的,他一层层的将乘法展开一直到最底层,然后将他们一起乘起来。
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Figure out how you can make it move a little to the left, a little to the right, up and down and then repeat in some kind of looping structure.
就是找出办法让它向左移动一小步，向右移动一小步，向上一小步，向下一小步,像这样不断重复。
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I need to make it so you can still see that, so I'm going to pull down these boards.
我需要把这块黑板拉下来,以便你们还能够看到
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Okay. Longer sit down meals are unnecessary because you can just go buy it all of a sudden.
好的,长时间坐着吃饭没有必要,因为你可以随买随吃
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And what is plotted below is the actual wave function, so you can see it starts very high and then the decays down.
下面这画的是，波函数，你们可以看见它开始非常高,然后衰减下来。
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you know, it's...you can find an apartment down there fairly easily
它是……在那儿，你可以相对容易地找到一间公寓，
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Or perhaps it means because you're sick, you can't hold your job down.
或许它意味着因为你病了，所以无法工作。
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And you can kick it down the road ... but somebody down the road... I think it's very important to make the tax cuts permanent to prevent the taxes from increasing It would be really a large drag on the economy.
你可以视若无睹,但总得有人来。,我认为，长期实行减税政策十分重要,这样可以避免税率增加,否则会极大地阻碍经济发展。
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So we have to come up--we mortals-- have to come up with some other device, and our device to remember things is to try to write it down because my premise here is, if you can write music down clearly you are hearing it, clearly, and you would have a better chance of remembering it if you could write it down.
因此我们普通人,必须开发出,不得不开发出一些其它的方法,而我们用来记忆的方法,就是试着写下来,它的前提是,如果你可以将听到的音乐清楚地写下来,很清楚,那么你就更有可能,记住它,前提是你能写下它
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And it's just gathering together the multiplications while counting down the exponent. And you can see it when we get down to the end test here, we're going to pop out of there and we're going to return the answer.
这个方法就是通过乘法,来一个一个的减小指数,可以看到,最后面的结果测试，我们会在这里退出,然后返回答案。
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Because it says, your program will still give you a value, but it may not be what you intended, and you can't always tell, and that may propagate it's way down through a whole bunch of other computations before it causes some catastrophic failure.
因为这意味着，你的程序依然会返回一个值，但是这个值可能不是你想要的，你可能还分辨不出来，而且这种情况会传播,结果会沿着正果计算过程传播下去,直到产生一个灾难性的错误。
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So this looks like it's doing a little bit of extra work, but you can see, if you look at that how it cuts it down at each stage.
它就做了很多多余的工作,如果你认真看，你能看到每个阶段,它是如果缩减查找空间的，我要告诉你。
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This is a game where you get a little plastic device, it's got 15 plastic numbers on it and one hole in this little plastic board and you can move those numbers up, down, left to right, and the goal is to take what's a random assortment of tiles and arrange them in numeric order and that's one of these little things you can play sort of absentmindedly.
在这个游戏中，你会拿到一个可塑的装置，上面有15个数字和一个孔,你可以将数字上下移动，左右移动，目标就是,拿到一个随机的组合后,将其按数字顺序排列,这个你可以随便玩玩。
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Odds are if you're an upperclassman, you've had that experience where it's 12 AM, 1 AM, 2 AM, and you're really starting to stress over the incompletion of some problems that for some course, well frankly what this mechanism allows you to do if you're already 90 percent of the way there, you can call it a night and you can put it down and you could feel good nonetheless about where you got to.
对于上游的同学可能觉得无趣，因为他已经具备了这些经验，这时应该开始关注某些课程中,问题的不完整的部分，如果你已经学会了,里面90%的知识，你可以停工,或者把这门课扔到一边。
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OK, here we go, here we go, you see, I'm doing it down here, I can't see it, does that-- ah, I hear his sighs of relief, OK, good. There we go. Better. All right.
好，我们开始，大家可以看到，我在这里写这个程序，我看不见，这是不是-啊，我听到大家放松的叹气了，好，让我们开始吧，好多了，好。
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He also had the idea that he would make it narrow enough so that when you're boarding an airplane you can still roll it down the aisle of the airplane-- it just fit perfectly.
他还想到要将把手弄的窄一点,以便登机进通道的时候,还能拖着箱子走-,这非常符合当时的需要。
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/2 You can have it equal to plus 1/2, and that's what we call spin up, 1/2 or you can have it equal to minus 1/2, which is what we call spin down.
它可能会等于，我们叫它自选朝上，或者它等于负，我们叫它自旋朝下。
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And you can see it wrapping its way down, cutting in half at each time until it gets there, but it takes a while to find. All right.
但是这也花了一点时间来搜索，好，让我们看看100万，或者1000万是不是在数组里。
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You can very quickly drive yourself nuts by sitting down, thinking, oh, I can write this program, no sweat, and then you write it and then there's a tiny little mistake here, but then there's a tiny little mistake here and here, and all of these stupid little things cascade until you try running your program, and the thing just doesn't work.
如果你只是仅仅干坐着，不费吹灰之力，凭空幻想着我可以把这个项目搞定，你会想地发疯的，也许你会写出一点东西出来，可能会有一点点错误,紧接着这或那又出现一点小错误，这些小错误一点一点地堆积了起来,直到你开始运行你整个项目，你会发现这堆东西根本就不工作。
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So, I don't even have to worry because you're not writing this down, so I can just fix it when I post the notes and no one will ever know, except that this is not OpenCourseWare.
所以我甚至不用担心,因为你们不会把这个写下来，所以我可以在我给出讲义的时候再修改,而且不会有人知道，但除非这不是公开课。
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The problems are set up so that, if you start down the right path, it should be pretty straight-forward to work it through If you start down a plausible but incorrect path, you can sometimes find yourself stuck in the weeds somewhere, and we want to bring you back in.
问题提出了，如果你从，一开始就走正确的道路，解决的途径,就一目了然了,如果你走上一条貌似正确但实际错误的道路，你会在某时某刻,发现自己陷入泥沼，于是我们就会把你拉回来。
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So if you want to on an exam, you can just write this down quickly at the beginning and refer to it as you're filling up your electron configurations, but also if you look at the periodic table it's very clear as you try to fill it up that way that the same order comes out of that.
如果你们想要在考试中，你们要在开始时快速地把这个写下来,然后在填充电子构型,的时候参考它，但是如果你们看着周期表,它就非常清楚了当你们将它用从那产生的,同样的顺序来填充。
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