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The second thing is, just as in the case of the violin string, the wave equation, as posed by Schrodinger, has a plurality of solutions.
第二，就那个小提琴弦而言，波动方程，被薛定谔所提出的，有许多解法。
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So you're basically having a wave equation for a particle, and for our purposes we're talking about a very particular particle. What we're interested in is the electron.
所以你们主要有,一个粒子的波动方程，我们的目的是考虑一个特殊的粒子,我们感兴趣的是电子。
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Earnings" is kind of a theoretical concept that accountants work on and it can go up and down depending on adjustments they make.
收益则是一种由会计得出的理论概念,会因不同的调整而上下波动
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Even though the graph is going up and down, the object is moving from left to right.
虽然图上曲线是上下波动,但是物体是由左向右移动的
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And then, on the top of 3, we get another example: "In other words we've got to get on the ball, darling, what I'm saying, otherwise it'll be fluctuating and lack of true knowledge or crystallization of our plans."
然后，在第三页上面，又有一个例子：,换句话说我们必须去这个舞会，亲爱的，我是说，不然就会变得波动又缺少真知识,或使我们的计划结晶化“
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I want to get there by wave mechanics to arrive at the same place.
我想通过波动力学到达,与此相同的地方。
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There's a lot of fluctuations in exchange rates over time.
随着时间的推移，汇率会不停地上下波动。
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I personally don't like swings that much and it's the B-/B+ range, so I'd much rather prefer that to a swing from A to C, and that's my reason.
我不喜欢成绩波动很大的,比如B-/B+这个范围,所以我还是喜欢像A到C这样小点的,这就是我的原因
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And an electron is something where, i n fact, we might be able to, if we calculate it and see how that works out, actually observe some of its wave-like properties.
如果我们对电子做计算,并且知道如何算出来的,那么我们是可以观测到,电子的一些波动性质的。
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So, we'll take a little bit of a step back after we introduce quantum mechanics, and talk about light as a wave, and the characteristic of waves, and then light as a particle. And one example of this is in the photoelectric effect.
等我们介绍完量子力学后,我们要回过头来讨论下光,作为一种波和它的波动性特征,以及光作为一种粒子,其中的一个粒子就是光电效应。
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And it turns out that the Schrodinger equation is an equation of motion in which you're describing a particle by describing it as a wave.
结果是薛定谔方程,用描述粒子波动性的方式,来描述这个粒子。
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Because if we think about wave behavior of electrons and we're forming bonds, then what we have to do is have constructive interference of 2 different electrons, right, to form a bond, we want to and together those probabilities.
如果我们考虑,电子的波动行为,并且，我们要成键的话,我们要,把，这些概率，加在一起,如果。
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In general, less volatile stocks have done better over time than more volatile stocks, which is somewhat inconsistent with the notion of efficient markets.
一般来说，波动小的股票在长期内比波动大的股票,表现要好，一定程度上,这和金融市场有效论的观点是相悖的。
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Systematically, investors are buying after things have gone up, selling after they've gone down, and the problem is most severe in those funds that show the greatest volatility.
投资者都一窝蜂似的,上涨之后才买进,下跌之后才卖出,对于波动最大的那些基金,问题更严重
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You can see that the stock market has been more volatile than the earnings and the price of a share is many times higher than the earnings per share.
你可以看到,股票市场波动性大于其收益,每股价格往往是,每股收益的几倍之多
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Economically identical, but their prices would fluctuate and fairly dramatically.
它们在经济意义上是相同的，但是他们的价格,会有波动，而且非常剧烈。
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I want to talk first about institutions and then move to what I think is, myself, more interesting, which is the real estate boom and the kind of fluctuations we've seen in real estate over the years.
我首先会讲讲这些机构,然后讲一下我更感兴趣的,房地产市场繁荣,及这些年里,我们经历的波动
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So basically describing electrons by their wave-like properties.
所以基本上用它的,波动性质来描述电子。
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That is what he did over his Christmas vacation, wave mechanics.
这就是他在他圣诞节假期所做的，波动力学。
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That is what I did. Wave mechanics.
这就是我做的，波动力学。
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