STUDENT: Right, we're going to do that in a second, but the answer is Fibonacci numbers, we define the first two.

学生：听不见：,我们马上会试一试，但是答案是斐波那契数列，我们可以定义下最初的两个数。

麻省理工公开课 - 计算机科学及编程导论课程节选

So, if something cycles through five wavelengths in a single second, we would just say that the frequency of that wave is five per second.

如果一个东西在一秒,内经历了五个波长，我们就说这个波的,频率是每秒5次。

麻省理工公开课 - 化学原理课程节选

Each of these waves is regarded as in some way necessary for the proper construction of a just city.

每一波,在某些程度上,都被视为是真正建立正义之城的必需条件。

耶鲁公开课 - 政治哲学导论课程节选

And sometimes we model light as a wave.

有时候我们把光看成一种波。

麻省理工公开课 - 固态化学导论课程节选

It's a piece by Maurice Ravel called Bolero.

这是一段莫里斯·拉威尔的,名叫,波莱罗舞曲,的作品

耶鲁公开课 - 聆听音乐课程节选

We've seen a boom in building in the United States that is at a record level, except for that one Korean War blip, and so I think it's a highly abnormal situation that we've been in.

所以美国出现一波建造新房的浪潮,规模空前,仅次于朝鲜战争时期,我认为这是极不正常的

耶鲁公开课 - 金融市场课程节选

And you can think about that if you think about a standing wave, for example, where you can have amplitude at many different values of x, so an amplitude at many different distances, but you also have areas where there is a amplitude.

你们可以想象一下驻波，在不同ｘ处,可以有不同的振幅，在不同的距离有不同的振幅，但在某些地方振幅等于０．

麻省理工公开课 - 化学原理课程节选

And in doing that, we'll also talk about the shapes of h atom wave functions, specifically the shapes of orbitals, and then radial probability distribution, which will make sense when we get to it.

为了这样做，我们要讲一讲，氢原子，波函数的形状，特别是轨道的形状，然后要讲到径向概率分布，当我们讲到它时，你们更能理解。

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 化学原理课程节选

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。

耶鲁公开课 - 政治哲学导论课程节选

You're vibrating. You're acting as a wave.

就是通过振动，你把自己看做一列波。

麻省理工公开课 - 固态化学导论课程节选

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。

麻省理工公开课 - 化学原理课程节选

And again, I want to point out that a molecular orbital, we can also call that a wave function, they're the same thing.

同样，我要指出的是,一个分子轨道，我们也可以叫它波函数，这是一件事情。

麻省理工公开课 - 化学原理课程节选

So, we can look at other radial probability distributions of other wave functions that we talked about.

我们可以来看一看我们讨论过的,其它一些波函数的径向概率分布。

麻省理工公开课 - 化学原理课程节选

But first, I just want to remind you when we're talking about molecular orbital theory, this is treating electrons as waves, so what we're actually able to do is either constructively or destructively combine atomic orbitals to form molecular orbitals.

但首先，我要提醒你们,当我们讨论，分子轨道理论的时候，我们把电子看作是一种波,所以我们可以相长叠加,或者相消叠加这些原子轨道来组成分子轨道。

麻省理工公开课 - 化学原理课程节选

So again, if we think of a graph of the wave function, we had the wave function is at its highest amplitude when it's lined up with the nucleus, and then as we got further away from the nucleus, the amplitude of the wave function ends up tapering off until it never hits zero exactly, but it goes down very low.

同样，如果我们想象一幅波函数的图，波函数在原子核的位置上,有着最高的振幅，随着与原子核距离变远，波函数振幅逐渐变小直到,它永远不会到零，但它会变得很小。

麻省理工公开课 - 化学原理课程节选