A curious pattern of integrals that all equal pi...until they don't.
Might it have something to do with (12+1) and (36+1)x3 being cool integers ? I have this crush lately with both, because you see "the mathematical phase transition" happening near them in so many different contexts.
I always made a lot of tricks to understand the sliding window when doing convolutions. Also the relation between product and convolution being trans-domain equivalent was always something I cherished, and found really useful and inspiring. Can't wait to see how you follow this up. Thank you so much!
Beautiful and so well explained 🙌🏾