And importantly, this FFT algorithm goes both ways.

而且重要的是，这个快速傅里叶变换算法是可逆的。

I know the FFT team was high on RJ Harvey and Travion Henderson.

我知道FFT团队对RJ·哈维和特拉维翁·亨德森好。

How much did Tez Johnson go for in the FFT Open Leagues?

特兹·约翰逊在FFT开放联赛中被交易走了吗？

And we will, we got a lot more to talk about after this on FFT.

我们会的，在FFT节目之后我们还有很多要讨论的内容。

He's watching FFT on his 21st birthday.

他在21岁生那天观FFT。

And you can hear great stuff on FFT Dynasty, the running back previews there.

你可以在FFT王朝节目中听到关于跑卫预览的精彩内容。

FFT Dynasty running back preview with Jacob Gibbs and Matt Waldman.

FFT王朝跑卫预览，与雅各布·吉布斯和马特·沃尔德曼共同探讨。

And those of you who know about fourier transforms and the FFT algorithm, might see where this is going.

而那些了解傅里叶变换和快速傅里叶变换算法的你们，可能会知道这接下来要讲什么。

There are so many applications for FFTs from solving differential equations to radar and sonar, studying crystal structures, WiFi and 5G.

FFT 的应用广泛，从求解微分方程到雷达和声纳、研究晶体结构、WiFi 和 5G。

But on top of all this, the FFT was discovered by scientists trying to detect covert nuclear weapons tests.

但除此之外，FFT 是由试图探测秘密核武器试验的科学家发现的。

We've got so much NFL draft prep on FFT and coming up in the in the coming weeks on FFT Express.

我们在《幻橄榄球快讯》上已经进行了大量的NFL选秀准备，并且在接下来的几周内还将有更多精彩内容呈现。

You know, obviously your league is going to be different, but that's just what we saw in the FFT Open leagues.

当然，你的联赛情况可能会有所不同，但那正是我们在FFT开放联赛中到的情况。

And like I said, right now we're doing 50% off for the first 100 people to use the code FFT at couchscouts.com.

就像我说的，现在我们为前100名使用代码FFT在couchscouts.com的人提供50%的折扣。

It doesn't matter if you do the rows or columns first, which you need is a two dimensional FFT of the original image.

先进行行还是列并不重要，您需要的是原始图像的二维 FFT。

If only it had become more widely adopted after Gauss discovered it, the FFT may have even more dramatically transformed our world.

如果高斯发现它之后它得到更广泛的采用，FFT 可能会更加戏剧性地改变我们的世界。

Basically all kinds of signal processing use FFTs and that's why mathematician Gilbert Strang called the FFT the most important numerical algorithm of our lifetime.

基本上所有类型的信号处理都使用 FFT，这就是为什么数学家 Gilbert Strang 将 FFT 称为我们一生中最重要的数值算法。

By contrast, if I use a different function from the SciPy library called FFT convolve, which is the same just implemented differently, that only takes 4.3 milliseconds on average.

相比之下， 如果我使用SciPy库中的另一个函数FFT卷积，虽然功能相同但实现方式不同，这只需要平均4.3毫秒。

But in practice, a complex number is one of the significant algebras that helps connect a lot of physical and mathematical ideas, particularly to FFT for an electrical engineer.

但在实际应用中， 复数是一种重要的代数， 它有助于连接许多物理和数学概念，特别是对于电气工程师来说的FFT。

Garwin approached an IBM researcher, James Cooley to program a computer to run the FFT algorithm but he didn't tell him the reason was to detect underground Soviet nuclear tests.

Garwin 联系 IBM 研究人员 James Cooley，希望对计算机进行编程以运行 FFT 算法，但他没有告诉他原因是为了探测苏联地下核试验。

Now I don't think Gauss could ever have imagined how important the FFT would be, just as most people don't think about the cumulative impact of their life's work.

现在， 我认为高斯无法想象 FFT 会有多么重要，就像大多数人不会考虑他们一生工作的累积影响一样。