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So I'm going to wave my hands at what one fflush of these things here does, fflush here, but I decided this is kind of a weak implementation.
所以我将向这些东西所做的挥手,这里的，但是我觉得这是个有点无力的实现。
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You do not have to wave your hands in the air if you're math phobic, but since some of you are, let me just get you all to take a deep breath.
如果你有数学恐惧症你不必举手示意,既然有人是,那么让我们深呼吸一下
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Well, if this thing is going to vibrate for any length of time it better be a standing wave.
好的，如果它在任意时间振动,那它就是驻波。
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We started talking about these on Wednesday, and what we're going to start with is considering specifically the wave functions for multi-electron atoms.
我们从周三开始讨论这些，而且我们将要以特别地考虑,多电子原子的波函数,为开始。
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What' s better is to plash yourself in the middle of something you genuienly love, and wait for the wave to come and find you.
更好的办法是置身于,自己真正热爱的事业当中，等待潮流来追随你。
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There is a story that near the end of his life, Aristotle was himself brought up on capital charges, as was Socrates, due to another wave of hostility to philosophy.
而在他快临终时有个故事讲到，亚里士多德,遭到死刑控告，如同苏格拉底一般，因为另一波的反哲学斗争。
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And if it is going to be a standing wave then this must be an integral number of wavelengths.
如果这有个驻波的话,那么周长就是个整数。
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And the person we have to thank for actually giving us this more concrete way to think about what a wave function squared is is Max Born here.
需要感谢，马克思，波恩,给了我们，这个波函数平方的,具体解释，事实上。
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Well, this is in a stationary orbit so we need to have a standing wave. Not to scale.
在静止的轨道中,我们需要的是驻波，不是要去测量。
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It' s very, very difficult to chase after a wave.
追随潮流是件相当困难的事。
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I'm not going to make you wave your--okay.
我也不打算让你们举手了
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All right, now just to get you used to the idea, in every class we're going to have I think the same two people, so Jude is the cameraman; why don't you all wave to Jude.
还要说一下,每节课我们都会,看到这两名工作人员,裘德是摄影师,大家跟裘德打个招呼
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Remember this is our bond axis here, and you can see there is this area where the wave function is equal to zero all along that plane, that's a nodal plane.
记住这是我们的键轴，你可以看到在这些区域,波函数在这个面内全都是零，这是节点面。
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So, we're talking about wave functions and we know that means orbitals, but this is -- probably the better way to think about is the physical interpretation of the wave function.
我们讨论波函数而且,我们知道它代表着轨道，但-也许更好的思考方法是,考虑波函数的物理意义。
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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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Ever since this was first proposed, there has never been any observations that do not coincide with the idea, that did not match the fact that the probability density is equal to the wave function squared.
从未有，任何观测，与它相抵触,从没有过，波函数的平方不等于,概率密度的情况，关于马克思，波恩。
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