Self knowledge is like lost innocence, however unsettling you find it; it can never be un-thought or un-known.
自我认知就像逝去的童真,不管你有多不安;,你已经无法不去想或是充耳不闻了。
they're very energetic. They want to get involved with things.
他们非常有活力。他们想多参与一些活动。
Because in an under-constrained problem there could be multiple solutions. So suppose I want to capture all of them or print all of them out.
因为在一个非约束性问题中,可能会有多组答案,所以假设我想把它们,全部获取或者全部输出。
Now some of you may be wondering, and you'll find out this for yourself about how important it is to come to class.
你们现在可能会想,而且你们将会发现,亲自来上课有多重要
So, I actually paused for a moment to take some photographs after this particular experience because after walking this woman who happened to be, I mean she was at least 70 plus years old I would say, no offense if she's watching this on the Internet now and I got that wrong, but at least 70 years old.
所以,通过这个特殊的经历后,我停下来一会儿,拍了一些照片,因为这种事发生在,这位老太太身上,我的意思是她至少有70多岁了,我想说,如果她在网上看看这个,就不会犯错了,但是我错了,她至少70多岁了。
Seek fame, we all want that,and I'll say more about that, but you can't push it too far, there has to be some kind of a reasonable human limit to what you do.
功名利禄,世人所逐,但我想多说一句,凡事要有限度,也就是说,你的行为,该有某种合乎常人行为的界限
They thought everyone who'd be taking this class would be taking it because they are already really happy and they want to study about how amazing they are.
他们认为每个上这门课的人会上这门课,是因为他们已经很幸福了,他们想研究自己到底有多棒。
You want to know how fast the guy is moving.
你们想知道这个质点的速度有多快
So, you may or may not know this about your TAs, but this is a pretty competitive group of TAs we have this year, and they like to brag about how smart their recitation is, how good questions they're getting in the recitation section.
不知道你们是否知道这与你们的助教有关,但是今年我们的助教们,都非常有才,而且他们都想向别人炫耀一下,自己的讨论课做得有多漂亮,回答的问题有多好。
So, I just wanted to give you an idea of just how small most of these places are as well as indicating sharp departures.
我在这里只是想告诉你们这些城邦有多小,以及城邦之间有多分散
And if I think back to my own childhood again, not that that was the glory days by any means, but I mean people weren't falling over hour after hour from dehydration because they didn't have a water bottle with them.
如果我回忆一下自己的童年,不是说我的童年有多光辉灿烂,而是我想说当时人们也没有因脱水而倒下,而因为他们没有随身携带水壶
If you want to know how fast it's moving at a given time, if you want to know the velocity, I just take the derivative of this answer, which is 10-10t.
如果你想知道它在给定时刻的运动有多快,如果你想知道它的速度,我只要对这个式子求导,得到10-10t
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