And when you have an optimal substructure and the local solutions overlap, that's when you can bring dynamic programming to bear.

当你得到一个最优子结构,但局部解决方案有重跌时，你就可以引入动态编程,来解决这个问题了。

麻省理工公开课 - 计算机科学及编程导论课程节选

Then it dropped to about 1100 a little over a year later.

但是，一年多时间里又跌回1100点。

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And if it goes up 6 percent, well you'll go up 10 percent or more, and if it goes down, don't worry, I'm so smart your stocks won't go down.

如果股市涨了6个百分点，你可以转到10以上的百分点，如果股市跌了，你也不用担心，你选择的人会保证你买的股票不会跌。

麻省理工公开课 - 计算机科学及编程导论课程节选

Of course, the money had to come from somewhere, so bond allocations were at a fifteen-year low.

当然投资股票的钱不是凭空变出来的,于是债券投资所占比例跌至15年来最低

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since all the information is in the current price, you don't have to worry about whether it went up or down yesterday, to decide what it's going to do today.

因为当前价格代表了所有信息，你就不需要去考虑昨天股价,是涨了还是跌了，再去判断它今天的价格会怎么变化。

麻省理工公开课 - 计算机科学及编程导论课程节选

Well it could go twenty basis points lower but interest rates can never be negative.

呃，它可以再跌二十个基本点,但是利率永远不能是负值。

耶鲁公开课 - 金融市场课程节选

Suppose the home price falls by only 10%-- in fact, that's what's been happening lately.

假设房价跌了10%,实际上,这才刚刚发生过

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If you look at the ten best-performing Internet funds from 1997 to 2002, the time-weighted return is 1.5% per year positive, so the funds went way up and then they went way down.

这十个表现最好的网络投资基金,从1997年到2002年,时间加权回报率是每年1.5%,基金一路涨涨跌跌

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It has dropped precipitously and you note that the pink line, which shows the rate of growth of home prices, the rate of growth of home prices, has fallen just right along with the traffic of homebuyers.

而且跌的很突然,再看粉色线,粉色线代表了房价增长率,房价增长率,与购房者残参观量一样下跌

耶鲁公开课 - 金融市场课程节选