I don't know where any one of them is, but I can tell you on average where any one of them is likely to be.
我不知道它们中单独的个体在哪,但我可以大体告诉你,它们其中一个将是会怎样。
There's a lot of, you know, surfing, water sports, skating, stuff like that that I like to do.
可以经常,你知道,可以冲浪、水上运动、滑冰,我喜欢做的那些事。
Thing I've got a little procedure that could do that, but you know the simplest thing I could do is to say well, gee, wait a minute, why don't I just check to see if these are the same thing?
这两个点是同一个点么?,我已经写了一小块代码,可以提供这个功能,但是你知道的我可以做的,最简单的事情就是说好,嗯?,等等,我为什么不直接去看看,这两个东西相等不相等呢?
I was wondering if you'll be willing just to offer, I don't know if it's culty prayer, whatever you feel comfortable, maybe reciting just a few lines because I know your voice is exquisite.
你是否愿意为我们,我也不知道这是不是祷告,只要你觉得合适的,就为我们吟诵几句话可以吗,因为我知道你的声音非常的优雅。
I wish that I could live in their life for one day, but you know, they're just things.
我希望我可以过一天他们的生活,但是你知道,就是东西而已。
So that way you can have an idea if, oh, I do really understand this but I'm a little bit slow, maybe I need to practice this one type of problem a little bit longer so I can get up to speed so I'm going to be able to get through all this in terms of the exam time.
这样你就可以知道,假设,噢,我真的懂这个,但是我的速度有点慢,或许我需要在练习这个类型的题目上,多花一点时间,这样我就可以提高自己的速度,可以全部做完,在考试规定的时间内。
I didn't have the commercial price for the chickenpox vaccine called Varivax but you can imagine that it's even more than $50 a dose for that one.
我不知道水痘疫苗,伏痘敏的商业价格,但是你可以想象一下,这种疫苗每支的价格要超过五十美元
you sort of, I don't know, trivialize this, all the work that people put into it.
你可以,我不知道,看淡它,看淡当中人们做出的所有的努力。
And so you're able to take... I don't know how many there are.
所以你可以做一下以前的考题……我不知道总共有多少份。
So, if you feel there's not enough math used, I guarantee you that I certainly know enough eventually to snow the whole class, but that's not the point.
如果你觉得我用的数学太少,我可以保证,我知道的数学知识,足以难倒在座的所有人,但这不是重点
I could have, you know, polygonal figures, that are a sequence of segments.
现在我还可以对它进行延伸,我可以,你知道的,建造一个多边形。
I want to show you how easy it is to change the code. But, notice, once I've added this I actually have a problem. This is now an under-constrained problem. I have more unknowns than I have equations.
我加上这个条件后,我马上面临一个问题了,这就是现在是一个非约束性问题了,我的未知数比方程数多,你从代数中可以知道。
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