- cross-posted to:
- videos@lemmy.world
- cross-posted to:
- videos@lemmy.world
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
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.
Hard to give an example that would be relevant to your particular activities, but violin makers sometimes use it in a practical way.
When you make a wooden soundboard you can visualize its deformation eigenfunctions (or rather its zeros) and proper frequencies using a speaker and sand:
https://www.youtube.com/watch?v=_l2Uh5EVxB8
And they use it to “tune” the soundboard somewhat as far as I understand it ?
Also, for the strict “anything described in Fourier” proposition, you can draw homer Simpson with epicycles with it:
https://www.youtube.com/watch?v=slfS7j_7L6s
So I guess all the 1400’s astronomy was using it somewhat
What field are you in?
computer systems administrator and former software engineer.
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