If it were just a little bit different I could say, all right, I have a different approximation. But when it's this different, something is wrong. Right?
但是如果仅仅有点差异的话,我可以认为没什么大问题,我得到了一个不太一样的估算,但这确实有差异,出问题了对不对?
I only give, I don't know, about 10% or 20% for getting the right number in a computation. I tell my graders, if the student demonstrates minimal acceptable proficiency that student has to get a passing score.
我只是给,我不知道,10%或者20%的随机概率得到合适的数字,我告诉我的学生们,如果有人想证明,最小可接受的熟练,就是学生们得到一个及格的分数。
So if I start off with a list of length n, how many times can I divide it by 2, until I get to something no more than two left?
我能够除以多少次2呢?,直到我得到的长度不超过2么?,对数次,对吧?就像刚才那位同学说的那样?
How do we get from there to the conclusion that I can't believe that I'm going to die, I'm going to cease to exist as a person?
怎样从中得到一个结论,说明我不相信我会死,我会停止作为人而存在?
Let me imagine that I've been lucky enough to get you out of the way-- you're fighting him you can't even look at me, but I can do that.
假设我运气够好,把你从这条路上推开了,你在和他搏斗,不可能看得到我,但我可以这样
On the 30th day, I will be getting from you in total, including the first 29 days-- no, rather on the 30th day, I'll be getting from you 5,368,709 dollars and 12 cents.
在第30天,我将从你那里一共得到,包括前29天-,不,在第30天,我将从你那里得到5368709。12美元。
The first thing to do is to go over here where it says, My Plate Calorie Counter, you'll actually get more information than just calories, but if you go over here, click on this, then the next version you'll see will be something like this.
首先你要看一下这里,写着,我每餐的卡路里计算器,你可能得到的不只是卡路里的信息,如果点击这里,接下来你会看到这个画面
Let me disclaim, too, we're by no means perfect so the Harvard courses APP that a lot of you used on the web to shop for courses, we recently sent out a form to get feedback from everyone because we don't doubt that it was imperfect the first time around, but we're going to iterate and make amends with that.
我不是说,我不是说要完美,你们大部分使用哈佛大学课程APP来在网上选课,我们最近给你们发了一个表单,从你们那里,得到反馈,因为我不怀疑,第一次时它是有瑕疵的,但是我们将反复地道歉。
And I cannot have an unpaired electron in the same orbital.
我不可能在同一个轨道,得到不成对电子。
All right. I tried it on 2, I surely didn't expect a precise and exact answer to that but I got something, and if you square this, you'll find the answer kept pretty darn close to 2.
好,我试试求2的平方根,我当然不希望得到一个完全准确的答案了,但是我得到了一个近似值,试试将这个数平方一下,你会发现结果和2相当接近。
Socrates is saying, "Look, I'm not worried. I'm going to live forever."
苏格拉底说,我不担心,我会得到永生的
In either case, I take that value and multiply back by two, if it was even I get back the original number, if it was odd, I'm not going to get back the original number, so I can just check to see if they're the same.
在两种情况中,我都把结果值,再乘以2,如果x是偶数我就,得到了原来的值,如果x是奇数那么就不会得到,原来的值,因此我看看得到的值,和原来的值相等不相等就可以了。
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