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Assorted Flavors of Fourier Series on a Finite Domain
April 22, 2024, 11:50 p.m. | Sébastien Gilbert
Towards Data Science - Medium towardsdatascience.com
Choose the one that behaves nicely at the boundaries
Photo by Hilda Gea on UnsplashIf you look up the history of Fourier analysis, you’ll see that Jean-Baptiste Joseph Fourier formalized the series that would bear his name while working on the heat flow problem.
A Fourier series represents a periodic signal as a sum of sinusoids whose frequencies are integer multiple of the fundamental frequency.
We intuitively know that a hot spot in a conductive medium will spread heat …
analysis differential-equations domain flow fourier fourier-series getting-started heat history jean joseph look look up series signal signal-processing
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