**Created: 2023-10-11** A day ago, I made a tweet about my professor drawing parallels between the Fourier transform and Heisenberg's uncertainty principle. The tweet got quite a lot of views and a reply from Max Hodak, one of the cofounders of Neuralink, he linked this article: https://maxhodak.com/nonfiction/2023/01/17/uncertainty. ## Fourier Transform of Periodic Signals - I found this quite confusing when I first came across this topic. This link does a great job at explaining what is going on: https://lpsa.swarthmore.edu/Fourier/Xforms/FXPeriodic.html ## Fourier Series and Integrals (Chapter 4 from Strang's Computational Science and Engineering) From a conversation with Claude: Just as any vector can be written as a sum of components in perpendicular directions, any suitable function can be written as a sum of orthogonal sine functions - this is the deeper meaning of Fourier series What does "suitable function" mean here?