It was radical when Fourier wrote it in 1808.

但1808年，傅叶写下这句话却显得尤。

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

傅叶认，除非女性命运得以改善，否则整个社会难以得以发展。

Fourier was wounded, so he demanded a second duel.

傅叶受伤了，所以他要求行第二次决斗。

So you can't use the idealized Fourier transform.

所以你不能使用 理想化傅叶变。

This has aptly become known as the Fast Fourier Transform.

这已被恰当地 称快速傅叶变。

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

走廊黑板上有高级傅立叶算式。

Was it not always believed until Fourier that the temperature of the interplanetary spaces decreased perpetually?

直到傅立叶之前， 人们并不总是相信行星际空间温度会永久下降？

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

基本上， 每当处理信号时，很有可能涉及快速傅立叶变。

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

这种从波形到频率是通过一种非常酷算法完成，称快速傅叶变。

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频率，这意味着他们需要行傅立叶变。

Here's an example seismometer signal and its Fourier transform.

这是一个地震仪信号及其傅叶变示例。

There are some elegant ways to understand how Fourier transforms work, shout out to the awesome video by 3Blue1Brown.

有一些优雅方法可以理解傅叶变工作原理，请观看 3Blue1Brown 精彩视频。

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

相反，您必须执行称离散傅立叶变操作。

And you have the discreet Fourier transform of this really simple signal.

你可以对这个非常简单信号行离散傅叶变。

Well, then the discrete Fourier transform will have eight frequency bins.

那么离散傅叶变将有八个频率仓。

Now this process works fine in principle and you could use it to calculate all discrete Fourier transforms.

现在这个过程原则上工作得很好，您可以用它来计算所有离散傅叶变。

To complete one discrete Fourier transform requires multiplying N data points by N different frequency waves.

要完成一次离散傅立叶变，需要将 N 个数据点乘以 N 个不同频率波。

Garwin observed Tukey doodling throughout but what he was actually doing was working on discreet Fourier transforms.

加文自始至终都在观察图基涂鸦，但他实际上所做是离散傅叶变。

And one of the distinguishing features of a Discreet Fourier Transform is that the frequency spectrum is also discreet and finite.

离散傅立叶变显着特征之一是频谱也是离散且有限。

A Fourier transform is a way of decomposing a signal into pure sine waves, each with its own amplitude and frequency that add to make it up.

傅叶变是一种将信号分解纯正弦波方法，每个正弦波都有自己振幅和频率， 相加而成。