ギャノン Name and picture from twetch — not on-chain. The signature is; the profile is not.

i forgot about the conclusion we made a year ago: "imaginary space precedes real space"

there's a lot more learning to be done

For linear systems, recursion operators and symmetries are essentially the same objects, while for nonlinear equations, only very special "solvable" equations appear to have recursion operators.

Lie's fundamental observation was that knowledge of a sufficiently large group of symmetries of a system of ordinary differential equations allows one to integrate the system by quadratures and thereby deduce a general solution.

we need to replace the somewhat nebulous notion of a "system of differential equations" by a concrete geometric object determined by the vanishing of certain functions.

when i was younger, my dream was to create wetware

how is the lattice constructed to handle n dimensional orthogonality to avoid spacing collisions?

trees can be represented across lattices if you can deal with spacing collisions

if your mind was a shape, what would it be?

whats in between I and Tug?

elons child is literally named "archangel #12"

@4 can twetch get a custom e8 emoji?

the goal is to store matrix generators in shared memory, so the only serial access will be generator retrieval. many matrices can then be generated locally, async

test

an os is just an fs with some asm

i want to avoid reallocating the same 256 patterns to memory but also want to avoid having hash tables of pointers to pointers

and i want to store the order of those patterns. sounds like combinatorics to me

its called the [electrical] grid for a reason

who were you before you heard the word "lie group"

Using the smooth structure, one can define the Lie algebra of G, an object of linear algebra that determines a connected group G up to covering spaces.

if we take a continuous group and turn it into a topological manifold, we can use parallel compute to consider the group

r trees but on a relative transformation based plane instead of a coordinate system

As a result, the solution to Hilbert's fifth problem reduces the classification of topological groups that are topological manifolds to an algebraic problem, albeit a complicated problem in general.

As shown by Andrew Gleason, Deane Montgomery, and Leo Zippin, the answer to this problem is yes.[8] In fact, G has a real analytic structure.

Hilbert's fifth problem asked whether a topological group G that is a topological manifold must be a Lie group

A topological space X is called locally Euclidean if there is a non-negative integer n such that every point in X has a neighbourhood which is homeomorphic to real n-space R^n.

if you can't write it on paper, why would you expect it to work as code?

geometric series but trees

🌿🤝📈 > 📈→🌿

*now lol