March 17, 2024. In the first issue of 6IT: the mathematics of supervising children; unreliably clairvoyant demons; why the sky is blue (and why it isnβt); a Poisson process for primes; sychronizing fireflies; and quantum error correction from Penrose tilings.
Inspired by one of my heroes, John Baez, Iβm planning to blog about βfindsβ in the hard sciences on a semi-regular basis. These may be papers, favourite theorems, new discoveries, or shower thoughts; Iβm hoping to be brief and nerdily enthusiastic rather than thorough and technically deep. Either way, I hope itβs fun to read. Letβs see how it goes!
Contents
- The obstructed supervision theorem
- Zermeloβs demon and the axiom of choice
- Why the sky is blue
- A game of primes
- The firefly effect
- Quantum error correction from Penrose tilings
https://arxiv.org/pdf/2403.03340.pdf
https://www.researchgate.net/profile/Michael-Jones-66/publication/2246342_Regularization_Theory_and_Neural_Networks_Architectures/links/02bfe50d33d1a45e52000000/Regularization-Theory-and-Neural-Networks-Architectures.pdf
https://www.stat.cmu.edu/~ryantibs/papers/sparsitynn.pdf
https://arxiv.org/pdf/2404.07905.pdf
https://en.wikipedia.org/wiki/Carter_constant
https://arxiv.org/pdf/2204.02063.pdf
https://arxiv.org/abs/1610.09702
https://arxiv.org/pdf/2301.10191
https://arxiv.org/pdf/2405.10958
https://en.wikipedia.org/wiki/Quintic_function#Beyond_radicals
https://en.wikipedia.org/wiki/Poppy-seed_bagel_theorem