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Sometimes the flood seems to be the result of very heavy rain, but in other descriptions it seems to be a real cosmic upheaval.
有人说，大洪水是大雨导致的，还有人说，是因为宇宙变动引起的。
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So if I'm Firm 1, if I produce any more quantity, what's going to happen to the price?
如果我是公司1,我要是再生产,价格会怎么变动呢
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If it moves a lot--either way from the mean-- then this number squared is a big number.
如果距离均值的变动很大,那么这个平方数也会很大
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Probably the biggest adjustment made has been the move and paces of work here in Washington.
可以说最大的调整就是,华盛顿特区的工作变动,以及工作节奏。
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The most recent example, as I mentioned before, is the huge spike in food prices around the world which has created rioting, starvation, major crises in various countries.
最近的一个例子,我之前提到过,是全世界范围食品价格的巨大变动,它在许多国家导致了骚乱,饥荒,以及其他重大危机
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It's not just moving randomly, it's moving purposefully.
它并不是随机变动,而是有目的地移动
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People are looking at stock prices to see patterns that they remember that are prominent in their thinking and then those patterns are given an exaggerated probability.
人们在记忆中寻找,过去股价变动的模式,这些模式已经深入人心,并且这些模式的概率被夸大了
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A negative covariance means that they tend to move opposite each other.
负值的协方差就表示,二者反向变动
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That has moved around a lot, but it got almost up to 60% in the post World War II period and now it's down to less than a third.
计算所得的百分率变动很大,二战后,它一度达到将近60%,现在又降到不到三分之一
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She is also a PhD candidate in Economics and is doing research on the behavior of options prices in a phenomenon called the "Options smile," as she's smiling at me right now.
她也在攻读经济学博士学位,目前正在研究"期权微笑",也就是,期权隐含波动率微笑现象中的价格变动趋势,她现在正对我微笑呢
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You can see that residential investment, as a fraction of GDP, has been very variable through history of the United States since World War II and that it's had a strong relationship with recessions.
住宅投资要计入,国内生产总值,纵观美国自二战以来,这部分投资,变动很大,而且与衰退存在着密切关联
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He's come to the conclusion that over 90% of the variability of returns in institutional portfolios is attributable to asset allocation and that's the number that I think most people hear cited when they are looking at Roger Ibbotson's work.
他得出结论,机构投资中,超过90%的回报率变动,要归因于资产配置,我想这是罗格·伊博森的文章里面,被人引用得最多的结论
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You could take weights on people measured over a period of many years and look at the variability over time in weight and then link it to things like heart disease and cancer, and I'll come back later and talk about the results of that particular study.
我们还可以得到人们很长一段时间里,每年的体重数据,观察体重随着时间变化的变动,并将观察结果与心脏疾病和癌症联系起来,我等一下会告诉大家这项研究的结果
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Covariance is a measure of how much two variables move together.
协方差衡量的是两个变量一起变动的情况
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A positive covariance means that the two move together.
一个正值的协方差表示两个变量同向变动
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The more x moves, the bigger the variance is.
参数的变动越多,方差就越大
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Well, you can see the pink line shows the employment in Los Angeles, and indeed, it did move around corresponding to the booms and busts in the Los Angeles market but not so dramatically.
你可以看到那条粉线,表示了洛杉矶的就业情况,实际上,它紧随着洛杉矶市场,兴衰变动,只不过没有那么显著
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of a stock is how much it reacts to movements in the market portfolio.
一只股票风险指标β系数直接反应出，The，β,市场组合变动与投资收益的相关性。
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If they tend to move together, when x is high and y is high together at the same time, then the covariance will tend to be a positive number.
如果x和y同向变动,当x值和y值同时都很大,协方差的结果将会是一个正值
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The second person I have set up now to come-- although the date on the syllabus online is going to be changed--is Andrew Redleaf, who is also a Yale graduate and who set up a hedge fund called Whitebox Advisors.
我邀请的第二位客座嘉宾,也许网上教学大纲的日期,会有所变动...是安德鲁·雷德利夫,他也是一位耶鲁的毕业生,他创设了Whitebox Advisors对冲基金
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