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It is proved that the substitituon mapping is a proper Fourier integral operator with generalized hypoellipticity.

变量替换映射是一个具广义亚椭园性富里叶积分算子。

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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.

采用坐标变换展开成傅立叶方法,推导出牛顿流体偏心环空轴向流动速度场严格学解析解.

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A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.

用比较直接方法证幂级在收敛域内可以逐项微分公式;并得到计算傅立叶一种简便方法.

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经济学人(汇总)

It was radical when Fourier wrote it in 1808.

但1808年,写下的这句话却显得尤为激

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经济学人(汇总)

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

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。

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迷人历史

Fourier was wounded, so he demanded a second duel.

受伤了,所以他要第二次决斗。

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Veritasium真理元素

Here's how the Fast Fourier Transform allows you to compress an image.

以下是快速变换如何允许您压缩图像。

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美剧电影合集

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

走廊黑板上有高算式。

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Veritasium真理元素

You take the pixel brightness values for each row of an image and perform a Fast Fourier transform.

您获取图像每的像素亮度值并执快速变换。

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Veritasium真理元素

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

这就是快速变换如何将 N 平方计算减少到 NlogN。

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

要完成一次离散变换,需要将 N 个数据点乘以 N 个不同频率的波。

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高等数学之美

Same goes to whoever asked about what the Fourier transform has to do with quantum computing.

对于任何询问变换与量子计算有何关系的人来说,都是如此。

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地心游记-The journey to the heart of the Earth

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

直到之前, 人们并不总是相信星际空间的温度会永久下降?

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科技 Crash Course

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

这种从波形到频率的转换是通过一种非常酷的算法完成的,称为快速变换。

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高等数学之美

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

那些了解变换和 FFT 算法的人可能会明白这是怎么回事。

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高等数学之美

The Fourier transform of an intensity vs.

强度与强度的变换。

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Veritasium真理元素

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,很有可能涉及快速变换。

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高等数学之美

But the longer that signal persists, the larger the value of the Fourier transform, at that frequency.

但信号持续的时间越长,在该频率下变换的值就越大。

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Veritasium真理元素

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

这是一个地震仪信号及其变换的示例。

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高等数学之美

The Fourier transform is just the integral part of this.

变换只是其中的组成部分。

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Veritasium真理元素

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

相反,您必须执称为离散变换的操作。

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Veritasium真理元素

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的频率,这意味着他们需要变换。

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高等数学之美

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

现在,只需指出这一点与实际的、诚实的变换之间的最后一个区别。

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