You don't get the more modest conclusion invisible things can't be destroyed or it's a whole lot harder to destroy them.
不是得出个更谦虚的结论,无形的东西不会毁灭或者,要毁灭它是不容易的。
The first problem set will be posted shortly, and that means, you know, we want you just to get going on things. Don't worry, we're going to make them more interesting as you go along.
第一个问题的提出会很快让你们熟悉,意思是说,你们懂的,我们希望你们尽管去放手干,别担心,在你进行的同时我们会,让它们变得更有趣儿。
Now, I'll do this a bit more on automatic pilot so that it doesn't get too tedious, but let's do the same thing.
现在我可以熟练地进行排序,所以不会太沉闷,下面进行同样的步骤。
If you take a bunch of pennies and you spread them out, you don't get more pennies.
如果你把一卷硬币全部摊开,你不会得到更多的硬币
While we're here, let's just mention that things will get more complicated in a world where I don't actually know the payoffs of my opponent.
现实中我并不知道,我对手的收益到底是什么样的,这会使事情变得更加复杂
It didn't-- if you needed more time to get some business done you'd have to borrow, but you'd only have to pay 1% a year.
如果你需要更多时间来完成业务,你需要借款,而只需付1%的年利息
People lived shorter lives and so they didn't get far enough into the age span to suffer from the chronic diseases that people are suffering more today.
当时的人寿命比较短所以他们,活不到现代人那么长,长得足以患上那些慢性疾病
I don't want to get-- I'm going to get more controversial than I want to.
我不想…,我不想又引起争论了。
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