No society could improve, Fourier believed, until women's lot improved.

傅里叶认为，除非女性的命运得以改善，否则整个社会难以得以发展。

Well, get this, it uses the Fourier transform, a mathematical technique for breaking down a signal, for instance, a song into its frequencies, like taking the bass guitar out of a song.

听好了，它使用了傅里叶变换，这是一种数学技术，用于分解信，将一首歌分解成它的频率，就像从一首歌中提取出贝斯吉他一样。

It was radical when Fourier wrote it in 1808.

但1808年，傅里叶写下的这句话却显得尤为激进。

Fourier was wounded, so he demanded a second duel.

傅里叶受伤了，所以他要求进行第二次决斗。

Fourier was the first to theorize what is now known as the greenhouse effect.

约瑟·傅立叶是第一个提出现在被称为温室效应理论的人。

Like Owen and Fourier and those guys.

就像欧文、傅立叶和他们的同道中人一样。

And most of the reason that it's a lie is that I still have yet to tell you what the actual Fourier Transform is, since it's a little more complex than this x-coordinate-of-the-center-of-mass idea.

而这个说法之所以是谎言， 最主要的原因是我还没有告诉你傅里叶变换是什么，因为它这个“质心的x坐标” 的想法要复杂一些。

They needed to know how much of different frequencies were present which meant they needed to take a Fourier transform.

他们需要知道存在多少不同的频率，这意味着他们需要进行傅立叶变换。

I also put an advanced Fourier system on the main hallway chalkboard.

走廊黑板有高级傅立叶算式。

This conversion from waveform to frequencies is done with a very cool algorithm called a Fast Fourier Transform.

这个从波形到频率的转换是通过一个非常酷的算法——快速傅里叶变换来完成的。

But in Fourier's dictionary, we find one of the first recorded uses of that new pronoun form.

但在傅立叶的字典中，我们发现了这种新代词形式最早的记录之一。

Instead, you have to perform something called a Discreet Fourier Transform.

相反，您必须执行称为离散傅立叶变换的操作。

They also have to do a Fourier analysis, decompose that, do a power spectrum, filtration, windows.

他们还需要进行傅里叶分析，分解信，进行功率谱分析，施滤波处理，并应用窗口技术。

Fourier calculated that due to the Earth's size and distance from the Sun, it should be far cooler than it is, which led him to propose that the Earth's atmosphere insulated the planet.

傅立叶计算出， 由于地球的大小及其与太阳的距离，地球应该温度低得多，这促使他提出地球大气层具有保温作用。

Physically, this has the effect that when a certain frequency persists for a long time, then the magnitude of the Fourier transform at that frequency is scaled up more and more.

从物理讲， 这意味着当某个频率长时间持续存在时，傅里叶变换在该频率处的幅度会被放大得越来越多。

It's called the discrete fourier transform of the coefficients.

它被称为系数的离散傅里叶变换。

So on your computer, most of the images will be saved in this form as a two dimensional Fast Fourier Transform and then when you wanna look at the picture again, the computer simply inverts the transform.

因此，在您的计算机， 大多数图像将以二维快速傅立叶变换的形式保存， 然后当您想再次查看图片时，计算机只需反转变换即可。

And there's also a really excellent video on the channel reducible, talking about the fast fourier transform, which is an algorithm for computing these more quickly.

还有一个关于通道可简化的非常出色的视频，谈论快速傅立叶变换，这是一种用于更快地计算这些的算法。

Basically, anytime a signal is processed, there's a good chance that a Fast Fourier Transform is involved.

基本， 每当处理信时，很有可能涉及快速傅立叶变换。

There's a couple small distinctions between this and the actual Fourier transform, which I'll get to in a couple minutes, but already, you might be able to see how this machine lets us pick out the frequency of a signal.

这与的傅里叶变换之间有一些小的区别，我稍后会讲到，但你可能已经能看出来， 这台机器是何让我们挑出信的频率的。