And I have actually seen evidence over the years, mercifully, just a small amount of evidence, but there are, in a group like this, always a few students who come in with a really strong background in high school.
这几年我已经见到了实例,令人感激的是,只有小部分人,但在这,像这样的一个小组,总有一些来到我们这的学生,在高中打下了良好的基础。
But it turned around over the last 10 years,
但是10年间那里发生了变化,
There's been a lot of work done on these over the years, but in fact, it's pretty hard to invent a good hash function. So my advice to you is, if you want to use something was a hash, go to a library. Look up a good hash function.
已经做过了很多的尝试和努力,但是事实是,很难发明出一个好的哈希函数,所以我给你们的建议是,如果你们想使用哈希功能,到函数库中查找一个好的哈希函数。
This invention of social security is well over one hundred years old, but I think that, because of the rapid advance of information technology, we're going to see a lot more progress.
社会保障的这种发明,已经经过了一百多年,但我觉得,由于信息技术的飞速发展,我们将会看到许多的进步。
The graph is something I showed you on the first day of class, that over the last hundred years in particular, but what's shown on this slide is over the last 300 years.
第一节课我就给你们展示过这幅图,该图特别地关注了近一百年的情况,但它涵盖了过去三百多年的历史
It's happened over the course of millions of years of human evolution, but it's happened also in a relatively recent time frame when we think about the American diet and what people are eating, but also the world diet of course.
它们发生在人类数百万年的演化历程中,在近现代,当我们考虑美国人的食谱,当然也包括全世界的食谱,同样在发生着这些变革
You get nineteen times your money over eighty-one years, but then if you take into account the inflation consumes a multiple of eleven and you're an institution like Yale that consumes only after inflation returns, putting your money into treasury bills really didn't get you very much.
1年后你的钱翻了19倍,但是如果考虑通货膨胀,在此期间侵蚀了11倍的收益,而且如果你是像耶鲁这样,减去通货膨胀调整到实际回报后再论支出,那么将钱投资于短期国库券,不会让你赚得多
It's a little bit of a digression, but one of the things that I've witnessed over the past twenty years is that the leakage of the -the leakage from the system in terms of the returns that go to the owners of capital -leakage has increased enormously.
讲一点稍稍离题的内容,我发现,过去的二十年中,这种损耗,这种减损资本所有者收益所得的,系统性损耗,有相当巨大的增长
Over the past twenty years, we've generated 15.6% per annum return, but that headline number obviously has a lot to do with the equity orientationof the portfolio but doesn't describe the importance of the diversification.
过去20年间,我们的年收益率达到15.6%,虽然媒体头条报道这一收益率,总强调与投资组合的股权导向有很大关系,但没有描述出投资多元化的重要性
I don't know if the news media are concluding anything, but you do see--we have seen-over recent years, we've seen a lot of suggestions that the turning point is just around the corner and the news media report that.
我不知道媒体是否的出过什么结论,但是我们也看到了,近年来,我们见证了很多改革建议,经济的转折点马上就要来到,媒体是这么报道的。
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