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
You can literally describe anything using Fourier functions. That should tell you something about the universe.
i don’t think i’ve ever had a use for this piece of knowledge – can you give some examples?
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.
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.
What field are you in?
computer systems administrator and former software engineer.
