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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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What he did was took de Broglie motion of the electron as a wave and developed a wave equation for such matter waves.
他所做的就是,用电子的德布罗意运动,作为波并且对于那种物质波,给出波动方程。
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Because positing them allows you explain things about the rotation of the star or the gravitational fluctuations, what have you.
因为这样假定能帮助你解释,诸如星体运行,引力波动,等现象
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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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The hard drive circuits translate those signals into to voltage fluctuations.
硬盘电路板把这些信号,转化为电压波动。
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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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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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There's a lot of volatility in exchange rates.
汇率的波动毫无定数可言。
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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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All right. So jumping in to having established that, yes, particles have wave-like behavior, even though no, hey're not actually photons, we can't use that equation.
好的，我们已经承认了，粒子有波动性，虽然它们不是光子，我们不能用这个方程。
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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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I want to get to this same place now by wave mechanics.
我想用波动力学,来得到这些。
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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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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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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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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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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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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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It is a wave equation.
波动方程式。
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And so the whole definition of what a recession is is evolving and... we could be in a similar kind of situation where job...number of jobs goes up or down and maybe output doesn't.
因此，经济衰退的完整定义,不是一成不变的。,有时可能出现这种情况,失业率也会上升或下降,而国民产量并无波动。
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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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There can be a supply of them, a storehouse of them that can build up in the body, and so day-to-day fluctuations become less of a problem with fat soluble then water soluble vitamins, because the body can go grab them from a storage depot, if you will.
从而在体内建立起一个供应源,一个脂溶性维生素仓库,这样一来,相比起水溶性维生素,脂溶性维生素的浓度不会每天剧烈波动,因为机体可以任意取用体内的储存
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