"It's a little surprising, but I doubt it's going to go very far, mostly because of his age,"

VOA: standard.2009.10.30

It's intuitively clear, but I will just prove it beyond any doubt.

这是很显然的,但是我还是要先证明一下

耶鲁公开课 - 基础物理课程节选

It was very impactful to start a book that way because I doubt that hardly any readers actually write out a check on the spot to UNICEF; but if you don't, then you are in some sense responsible for the loss of 30 lives.

这是一个有力的开场白,因为我认为几乎不会有读者真的,会写张支票把钱寄给联合国儿童基金会,如果你无动于衷,那么你在某种意义上,要为那逝去的30个生命负责

耶鲁公开课 - 金融市场课程节选

So the best response for Player 1, as a function of what Player 2 chooses, q2, is just equal to the q1 hat in this expression and if I solve that out carefully, I will no doubt make a mistake, but let's try it.

这个就是参与人1的最佳对策,它是参与人2策略q2的一个函数,它和之前的q1帽那个表达式是相等的,虽然我是很仔细地计算的,还是有可能算错的,我来验证一下

耶鲁公开课 - 博弈论课程节选