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By using the method of coordination transformation and expandedness Fourier series, an analytic solution is obtained from studying the Newtonian fluids laminar flow in eccentric anulus.

采用坐标变换和函展开成傅立叶方法,推出了牛偏心环空轴向动速度场严格学解析解.

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经济学人 Science and technology

And they also subjected it to a technique called reflection-mode Fourier-transform infrared spectroscopy.

他们还对其进行了一种称为反射模式立叶变换红外光谱的技术。

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Veritasium真理

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

相反,您必须执行称为离散立叶变换的操作。

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

他们需知道存在多少不同的频率,这他们需进行立叶变换

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Veritasium真理

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

完成一次离散立叶变换,需将 N 个数据点乘以 N 个不同频率的波。

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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,很有可能涉及快速立叶变换

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Veritasium真理

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

离散立叶变换的显特征之一是频谱也是离散且有限的。

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高等数学之美

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,谈论快速立叶变换,这是一种用于更快地计算这些的算法。

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Veritasium真理

The real obstacle to detecting underground explosions wasn't the accuracy of the seismometers, it was the vast amounts of computation required to Fourier transform the seismometer signals.

探测地下爆炸的真正障碍不是地震仪的精度,而是对地震仪信号进行立叶变换所需的大量计算。

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高等数学之美

Filtering that out, by just smushing the spike down, what you'd be looking at is the Fourier transform of a sound that's just like your recording, only without that high frequency.

通过将尖峰压扁, 将其过滤掉,您将看到声音的立叶变换, 就像您的录音一样,只是没有高频。

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Veritasium真理

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,在您的计算机上, 大多数图像将以二维快速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。

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