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So certainly we would expect to see that it has an effect in terms of seeing its wave-like properties.
所以我们当然可以预期,会看到波动性质的效果。
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That might seem confusing if you're thinking about particles, but remember we're talking about the wave-like nature of electrons.
如果你们把它想成是一个粒子的话是很矛盾的，但记住我们这里说的,是电子的波动性。
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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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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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But of course that process would not scale very well.
当然，这一过程中不会有太大的范围波动。
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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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The glycemic affect is the extent to which this blood sugar effect occurs when people consume certain foods and then the glycemic index is just a number that gets attached to that.
血糖效应从某种程度上讲,是在人们进食,某些食物时出现的血糖波动,血糖指数则仅仅是这一效应的量化体现
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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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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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Came back and just after New Year's 1926 and gave us wave mechanics.
在1926年的新年后回来了6,并给我们了波动力学。
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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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According to my calculations it was a twenty-five standard deviation event.
根据我的估算,那次波动偏离均值有25倍标准差之巨
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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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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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There's a lot of volatility in exchange rates.
汇率的波动毫无定数可言。
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So that would probably be de Broglie's answer for why, in fact, we're not observing the wavelength behavior of material on a day-to-day life.
所以那就可能是德布罗意关于,为什么我们无法再日常生活中,观测到物质的波动行为的答案。
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But when we're thinking about actual wave behavior of electrons, it's just important to keep in the back of our head that some areas have positive amplitude and some have negative.
电子的波动行为时,我们，要记住,某些地方是正的,某些地方是负的,当我们讲到。
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Why don't we see the influence of the wave-like behavior on every day matter?
在每天的生活中,我们为什么看不到物质的,波动性质带来的影响呢？
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After that, we'll move on to matter as a wave, and then the Schrodinger equation, which is actually a wave equation that describes the behavior of particles by taking into account the fact that matter also has these wave-like properties.
之后，我们会转移到物质，是一种波的话题和薛定谔方程，薛定谔方程是描述粒子,在考虑物质的波动性质后,的行为的方程。
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And the reason that quantum mechanics is going to work where classical mechanics fails is that classical mechanics did not take into account the fact that matter has both wave-like and particle-like properties, and light has both wave-like and particle-like properties.
上发生的行为,量子力学得以成功,而经典力学却失败的原因,是因为经典力学,不能包容物质的，波动性和粒子性,和光的波动性和粒子性。
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So it started to drift and people started to think I think a guinea is worth more than twenty shillings and the market price drifted up to twenty-one shillings.
所以，它的价值开始波动，人们开始考虑,我认为一个几尼的价值多于二十个先令的价格,于是市场价格就上升到二十一先令的价值上去了。
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Exchange rates go up and down.
汇率的上下波动很正常。
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That is, yo-yo dieting.
也就是波动很大的饮食习惯
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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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