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。

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.

约瑟夫·傅立叶是第一个提出现在被称为温室效应理论的。

Like Owen and Fourier and those guys.

就像欧文、傅立叶和他的同道中一样。

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。

This whole plot is what I'll call the " Almost Fourier Transform" of the original signal.

整个图就是我所说的原信号的“近似傅里叶变换”。

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

他还需要进行傅里叶分析，分解信号，进行功率谱分析，波处理，并应用窗口技术。

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，我发现了这种新代词形式最早的记录之一。

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。

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

这是一个地震仪信号及其傅里叶变换的示例。

The Fourier transform is just the integral part of this.

傅里叶变换就是这个积分部分。

And now, there is only one final distinction to point out between this and the actual, honest-to-goodness Fourier transform.

而现在，只需要指出这一点与真正的、货真价的傅里叶变换之间的最后一个区别。

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

他需要知道存在多少不同的频率，这意味着他需要进行傅立叶变换。

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。

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

那么离散傅里叶变换将有八个频率仓。

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

你可以对这个非常简单的信号进行离散傅里叶变换。

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里叶变换。

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换，需要将 N 个数据点乘以 N 个不同频率的波。

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

离散傅立叶变换的显着特征之一是频谱也是离散且有限的。