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Ayan Sarkar on Instagram: "Visualizing the Fourier Transform of a Gaussian Function: In this video, we explore a fascinating mathematical property: the Fourier transform of a Gaussian function is also a Gaussian function! We begin with the original function 𝑓(𝑥) = 𝑒xp(−𝑥²), a classic bell-shaped curve centered at 𝑥 = 0. Note that 𝑥² +ik𝑥 = (𝑥+ik/2)²−k²/4"
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