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InternetCitizen2@lemmy.world to Videos@lemmy.mlEnglish · 1 month ago

Fourier series are much more general than you think | CMMath

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Fourier series are much more general than you think | CMMath

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InternetCitizen2@lemmy.world to Videos@lemmy.mlEnglish · 1 month ago
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Fourier series are much more general than you think
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Check out the university level maths education on my website: https://www.cmmath.org0:00 Intro2:52 Orthogonality3:50 Eigenfunction Expansion8:13 Legendre Ser...

cross-posted from: https://lemmy.world/post/52070794

Check out the university level maths education on my website: https://www.cmmath.org/

0:00 Intro 2:52 Orthogonality 3:50 Eigenfunction Expansion 8:13 Legendre Series 17:11 Fourier Series 28:18 The Basel Problem

  • Dadifer@lemmy.world
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    1 month ago

    Fourier transform can be used to describe a single square pulse.. That means in n dimensions, Fourier transform can be used to describe any geometry or pattern. That means that any physical relationship can be described by a combination of sines and cosines. Its power is unbelievable.

    • eldavi@lemmy.ml
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      1 month ago

      yeah, that’s what i’ve been told in school, but i still have yet to see a use for it since then besides what’s already been engineered into electronics.

      • Dadifer@lemmy.world
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        1 month ago

        What field are you in?

        • eldavi@lemmy.ml
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          1 month ago

          computer systems administrator and former software engineer.

          • Dadifer@lemmy.world
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            1 month ago

            Time-frequency analysis and autoencoder approach for network traffic anomaly detection

            Enhanced Detection of Malicious Network Traffic Using Frequency-Domain Analysis

            Mining Graph-Fourier Transform Time Series for Anomaly Detection of Internet Traffic at Core and Metro Networks

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