Insert Unicode math characters in emacs
Lean is a language that supports theorem prooving. It has, among other features, dependend data types - types that allow to check state transition
AI creates proofs of Erdos's theorems
Calculate, integrate, convert, do matrix math, statistics, extract information from web pages etc
They do research where public can participate
Doing what a transformer is doing, by hand
The invariant subspace problem on Hilbert space
The logarithm function log(x.y) = log(x) + log(y) so it is a group homomorphism R+->R. The exponential function e^(x+y) = e^x . e^y so it too is a homomorphism R->R+ Another note: Formalizing intuition (of existence of natural isomorphism between vector space V and its 'dual dual') is a motivation for the development of category theory.
Somehow, using a single parameter can fit any dataset (arbitrarily close, depending on Tau). The function is fα(x) = sin^2(2^xτ * arcsin √α)
