#fourieranalysis — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #fourieranalysis, aggregated by home.social.
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Albert Michelson's Harmonic Analyzer [pdf]
https://engineerguy.com/fourier/pdfs/albert-michelsons-harmonic-analyzer.pdf
#HackerNews #AlbertMichelson #HarmonicAnalyzer #PDF #Engineering #History #FourierAnalysis
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"Good #Vibrations" (1967)
The Beach Boys know #FourierAnalysis.
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We are happy to announce that we have *9* open positions for
#PhD candidates / Doctoral researchers (all genders welcome)
here at the #RTG for #FourierAnalysis and #SpectralTheory / @migoettingen.
Pay grade 13 TV-L/75%, three years, starting date is 01.10.2025, application deadline is 14.03.2025.
https://www.uni-goettingen.de/en/607635.html
#JobAd #jobs #WeAreHiring #Spektraltheorie #Göttingen #GAUG #MathematischesInstitut #Mathematik #Mathematics
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Das Graduiertenkolleg (#GRK) 2491 ist ein @dfg_public gefördertes Forschungs- und Promotionsprogramm am @migoettingen. Das #GRK verfolgt einen innovat. und interdiszipl. Ansatz zur klassischen Theorie der modernen #Fourieranalysis und #Spektraltheorie und setzt einen Schwerpunkt auf die Verbindungen und Anwendungen zu mathemat. #Physik, #Topologie und analytischer #Zahlentheorie mit seinen 11 Promovierenden + 1 Postdoc.
#GAUG #introduction #rtg #rtg2491 #academiccloud #mathematics #mathematik
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The Fourier transform (FT), explained in one sentence: 🔗 https://blog.revolutionanalytics.com/2014/01/the-fourier-transform-explained-in-one-sentence.html
\[\boxed{\hat{f}(\xi)=\displaystyle\int_{-\infty}^\infty e^{-i2\pi\xi t}f(t)\ \mathrm{d}t}\]Discrete Fourier transform (DFT):
\[\displaystyle x_n = \sum_{k=0}^{N-1} X_k \cdot e^{-i2\pi \tfrac{n}{N}k}\]Inverse transform:
\[\displaystyle X_k = \frac{1}{N} \sum_{n=0}^{N-1} x_n \cdot e^{i2\pi \tfrac{n}{N} k}\]#FourierTransform #FourierSeries #Transform #MathematicalTransform #Signal #SignalProcessing #Frequency #Energy #FourierAnalysis #Series #Analysis
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Jeff "never puts away anything, especially oven mitts" Cliff, Bringer of Nightmares 🦝🐙 🇱🇧🧯 🇨🇦 @[email protected] ·4 pages and 40 minutes in and i forgot a - on the 2nd line of the first page, ugh #fourieranalysis