Now, this is a pretty familiar widget of little gadget that you might see on most websites today, but my God, what an uninteresting problem to solve ourselves.
这是一个大家都很熟悉的小工具,现在在大多数的网站上都可以看到,天哪,如果我们自己解决这样的问题那将是多么无趣!
You could buy a policy that protected you against your family not having the money to bury you if you died.
你可以买份保单,能使你避免,因家庭贫困而无钱供你死后下葬
Well, should we conclude, therefore, so nobody really believes that they're ever in dreamless sleep?
那么我们就应该得出结论,没有人真正相信,他们可以进入无梦的睡眠么?
You don't find any consolation in the fact that these forces add up to 0.
你不会因为合力是 0,你可以安然无事
We are free to the extent that we can act in an unimpeded manner.
在所允许的限度里,我们可以无拘束地任何想做的事。
I could imagine no one else in the world has said this before.
我可以想象此前世上并无他人说过这话
There are some examples that can bring out the moral intuition that our labor can take something that is unowned and make it ours, though sometimes, there are disputes about this.
有些例子可以说明,在道德上,通过劳动能使无主物品成为我们的所有物,尽管有时,这一点颇具争议。
And again, we could spend a lot of class time saying, well riboflavin does this for the body and that for the body, but my guess is most of you wouldn't find that so interesting and for those of you who would, the information on it is available elsewhere as I said.
我们可以花很多课堂时间来说,核黄素对机体有这样那样的功用,不过我猜你会感到很无趣的,而对此感兴趣的同学,我说过你也可以从其他途径获得这些信息
Odds are if you're an upperclassman, you've had that experience where it's 12 AM, 1 AM, 2 AM, and you're really starting to stress over the incompletion of some problems that for some course, well frankly what this mechanism allows you to do if you're already 90 percent of the way there, you can call it a night and you can put it down and you could feel good nonetheless about where you got to.
对于上游的同学可能觉得无趣,因为他已经具备了这些经验,这时应该开始关注某些课程中,问题的不完整的部分,如果你已经学会了,里面90%的知识,你可以停工,或者把这门课扔到一边。
That would be a portfolio where you borrowed at the riskless rate and you put more than 100% of your money into the tangency portfolio.
在这种组合里,你可以以无风险利率借贷到一些资金,从而可以投入比你本金更多的资金,来购买切线投资组合。
Now, assuming that we trust the government-- I think the U.S. Government has never defaulted on its debt-- we'd take that as a riskless return.
假设我们信任政府-,假设美国政府从未拖欠债务-,可以把它当作无风险回报。
There is nothing that it's like to be in dreamless sleep.
没有感觉可以形容无梦的睡眠。
No state can exist without rules.
没有国家可以无法规而存在。
We know there is no thing called a massless rope, but most ropes have a mass, but maybe negligible compared to the two blocks you are pulling, so we'll take the idealized limit where the mass of the rope is 0.
我们都知道无质量的绳子是不存在的,是绳子就有质量,但是相比于这两个物体就可以忽略不计了,所以我们有了这个理想的条件,即绳子的质量都是 0
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