So I haven't done magic, I've given you a really fast way to solve a knapsack problem, but it's still exponential deep down in its heart, in something.
所以我并没有施魔法,我已经告诉了你,一种快速解决背包问题的方法了,但是某些方面它的核心仍然是指数增长的。
It's been a while since I've been doing that because I haven't had as much free time as I would have liked.
我已经很久没有播报了。因为我最近都没有太多的空余时间。
There's hardly a movie that goes by now that doesn't have products inserted and that's all bought and paid for.
现在已经很难看到一部,没有品牌植入的电影了,这全都是要花钱的
All right? Because if I don't do any swaps on a pass through the algorithm, then it says everything's in the right order.
好么?因为如果我,这一遍没有做任何交换,那么就意味着已经排好序了。
Meanwhile, his youth was going away and now this imaginary student is now thirty-three years old never had time to marry or start a normal life.
与此同时,他的青春年华也已经逝去了,现在这位设想出来的同学已经33岁了,还没有结婚也没有开始正常人的生活。
Because Roman legal structures-- and they even said this in Roman laws-- if you're a judge and you have a rich man and a poor man in your court, of course you're going to decide for the rich man, because the poor man has incentive to cheat; he's poor. But the rich man already has money, he doesn't have any incentive to cheat.
因为罗马法律结构。。。,甚至罗马法律中就这么写着。。。,如果你是法官,一个穷人和一个富人,同时出现在法庭上,你当然会偏袒富人,因为穷人有欺骗的动机,贫穷;,而富人已经很有钱了,没有动机再去行骗。
They're already paying for public transport, so it's just kind of a financial expense they could do without.
他们已经向公共交通付钱了,所以,那只是一笔没有必要的财务支出。
at night, you can't do, you can't even do it now. There's no crosstown bus there now.
是不可能了,甚至现在就不可能。因为那里已经没有跨区的巴士了。
I think you may have defined it already, but I couldn't find a definition of strictly in the book we have.
我想你之前已经定义过了,但是我在课本里没有找到,“严格”的定义
They say: Oh, these ladies are too quick; We get there too late, they've already given birth by the time we arrive.
她们说:希伯来妇女们动作太快;,我们到的晚了我们还没有到,她们已经生产了。
I'm sixty-four years old and I haven't had one second of genius in my entire life.
我已经六十四岁了,这辈子都没有哪怕一秒钟灵光乍现的时候
I don't have time here to discuss this section right now, but you've already had some encounter with the incredibly impressive level of ingenuity and grotesquery in this remarkable passage.
现在我们没有时间来讨论这一部分了,但你们已经领略到了这一段中,给人深刻印象的,独创性和其中的怪诞。
They certainly have done their share but others have not done their share.
他们已经做了自己应该做的那份,但是有些国家并没有这样做。
So it's really neat to think that your counterparts 100 years ago right here at MIT could have been sitting in a class where they had Lewis as their lecturer, and he's putting forth these ideas -- these are actually his lecture notes, even though it wasn't even published yet, and giving this idea of Lewis structure, which is exactly what we keep using today in order to make a lot of these predictions.
因此会有很棒的感觉,当想一想一百年以前像你们一样,在这上学的同学可能正坐在教室里,听路易斯讲课,而他正在提出这些想法-,-而这些正是他的课堂讲义,尽管当时还没有发表,但已经给出了路易斯结构的思想,这正是我们直到今天都一直在用的,用它来做很多预测。
We're also happy to say we're not quite at 50% yet, 38% but the proportion of women in CS50 is now up to 38%, which is its highest level in 21 years.
我们非常高兴的说,在CS50课程上我们虽然没有50%的女生,但现在已经达到了,这是21年来最高的比例。
Even though I wrote the presentation, I feel like I don't know the information well.
即便我已经把报告写下来了,我还是觉得我没有好好掌握其中的内容。
But the man was still interested and he was married.
但是这个男人还是没有忘怀,尽管他已经结婚了。
One is the processing has already been done so the introns are already out, so you don't have to figure out what's exon and what's the intron, it's already done for you.
一是DNA已经过处理,内含子已经没有了,你不用分辨哪些是外显子哪些是内含子,这些都已经帮你做好了
Incidentally, they haven't raised the definition of accredited investors for many years.
顺便提一下,合格投资者的门槛,已经很多年没有提高过了
The Times of London is one of the most venerable newspapers in the world and it was losing money fast; it might have disappeared if Murdoch hadn't taken over.
泰晤士报》在世界上受人尊敬,但它亏损很快,假如默多克没有收购它,可能已经消失了
One of them was that the U.S. Government had shut down the construction industry during the war, so they didn't build any houses for close to five years; obviously we had a shortage of housing.
其一就是美国政府在战争时期,停止了建筑行业,那时他们已经快五年没有建造任何房屋了,显然,房屋资源是短缺的
All right? If you run it, you have a sense of the upper bound, about how much time it's going to take to do this computation, so you're not going to get surprised by something showing up.
第一,这样做意味着没有意外了对不对?,你去运行程序,你已经大致知道运行时间的上限了,因此发生任何事情,你都不会吃惊了。
We establish these targets, we review them once a year, we don't make changes in many years, they're quite stable, and when we do move them we don't move them by a lot.
我们设定了这些资产配置,每年都会评估一次,这些指标已经很多年没有变过了,十分稳定,即使我们要调整,也不会有很大幅度
There will in fact never be a good time to try something new, and there will actually never be a semester where you do have that more time.
实际上我已经没有机会尝试新事物了,而且也不用过学期了,但你们有更多的时间。
Reality intrudes and the poet has no choice but to say, "No. You've gone too far.
现实侵扰进来,诗人没有别的选择只能说,“不,你已经走太远了。
Bob mentioned in his introduction that I showed up at Yale in 1985, after having spent six years on Wall Street, and I was totally unencumbered by any portfolio management experience.
鲍勃在介绍中提到,我1985年刚来耶鲁时,已经在华尔街待了六年,完全没有任何,投资组合管理的经验
So what I want to do is, I want to lay this out a little bit more formally as a game, since we haven't done anything like this for a week or so, we're going to play the game.
我想做的是,把这个安排得更正式一点 就像博弈一样,因为我们已经大约一个星期没有这样做了,我们将做这个博弈
Come on down. Your role has just been changed because you're not wearing any socks today.
过来吧,你的角色刚刚已经改变了,因为你今天没有穿袜子。
The backpack is now full, right?
背包现在已经满了,对吧?没有空间了?
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