“人们在睡眠时也会欺骗，而且他们甚至没有意识到自己正在这样做。”大卫博士说。

"People cheat on their sleep, and they don't even realize they're doing it," says Dr. David.

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“人们在睡眠时也会欺骗，而且他们甚至没有意识到自己正在这样做。”大卫博士说。

"People cheat on their sleep, and they don't even realize they're doing it," says Dr. David.

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不幸的是，我们在这样做时碰到了一些纠缠难解的问题。

Unfortunately, we ran into a bit of a kink doing this.

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And what's fallen out when we do that, because in each case, one of the first derivatives gives us the entropy.

当我们这样做时就得到了结果，因为在这些例子中，一阶导数是熵。

麻省理工公开课 - 热力学与动力学课程节选

This should all sound incredibly familiar, like I'm just repeating myself in terms of photoelectric effect, because essentially that's what I'm doing, and that's one reason we spent so much time and did so many problem-set problems on the photoelectric effect.

这应该听起来极其熟悉，就像我在重复自己在讲光电效应时所说的话，因为基本上我正是在这样做，这也是我们在光电效应这个问题上,花这么多时间,做这么多习题的原因之一。

麻省理工公开课 - 化学原理课程节选

Some scholars have even speculated that Christians may have been the first to do this, because they were arguing with their friends,the Jews.

有些学者甚至推测,基督教徒是首先这样做的，因为他们在和犹太朋友争辩时。

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