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

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。

Gloomy as he looked in portraits, the Frenchman Charles Fourier concentrated on fun.

法国查尔斯叶关注于这其中的乐趣，尽管他在肖像画看起来很忧伤。

And it mixes that with deep neural networks, and hence, this is called Deep Fourier-based super-resolution.

它将叶变换与深神经网络结合，因此被称为基于深叶的超分辨率。

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，它使用了叶变换，这是一种数学技术，用于分信号，比如将一首歌分成它的频率，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，叶写下的这句话却显得尤为激。

Fourier was wounded, so he demanded a second duel.

叶受伤了，所以他要求行第二次决斗。

" It's like grading high-school students on middle-school tests, " says Dr Fourrier.

“这就像是根据初中的考试成绩来给高中生评分一样，”叶博士说。

Today we can see that Gauss had figured out the discreet Fourier Transform before Joseph Fourier himself published it in 1807. And he had developed the same Fast Fourier Transform algorithm as Cooley and Tukey a century and a half earlier.

今天我们可以看到，在约瑟夫·叶于 1807 年发表离散叶变换之前，高斯就已经提出了离散叶变换。并且他在一个半世纪前就开发了与库利和图基相同的快速叶变换算法。

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叶变换实际上是什么，因为它比这个“质心的x坐标” 的想法要复杂一些。

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——快速叶变换来完成的。

The fundamentals of the science around the greenhouse effect date back to Joseph Fourier some 200 years ago.

温室效应的科学基础可追溯到约200年前的约瑟夫·叶。

And so there's definitely a lot of love and crossover between Wolf and- Her name was Dr. Fourier.

因此，狼和——她的名字是叶博士——之间肯定有很多爱和交集。

And that is how the Fast Fourier Transform reduces N squared calculations down to NlogN.

这就是快速叶变换如何将 N 平方计算减少到 NlogN。

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

他们还需要行叶分析，分信号，行功率谱分析，实施滤波处理，并应用窗口技术。

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.

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

So a lot of those kind of basic courses, if you do electrical engineering, you take signal processing, you'll learn about Fourier transforms.

所以很多这类基础课程，如果你学电气工程， 你会学习信号处理，会学到叶变换。

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

它被称为系数的离散叶变换。

But, says Dr Fourrier, benchmark scores " should be taken with a pinch of salt" .

但是，叶博士表示，基准分数“应该持怀疑态”。

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的涂鸦，但他实际上所做的是离散叶变换。

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行离散叶变换。