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Interesting Nature paper from Google DeepMind on using LLMs for solving mathematical problems that are easy to evaluate but difficult to solve:

nature.com/articles/s41586-023

Their procedure, which they call FunSearch, applies an islands model genetic algorithm using the Codey LLM on the cap set problem and online bin packing.

This seems in line with my personal theory that we should view LLMs similarly to MCMC methods, i.e., they are closer to random number generators and should be optimized for sampling.

@highergeometer @monsoon0 I second emphasizing the history and progressive nature of math. Here's a wonderful quotation from Alfred North Whitehead's 'An Introduction to Mathematics'
gutenberg.org/ebooks/41568

Was doing a joke about a modern Jacob and Esau but I think the reference is too obscure?

who called it "legend of zelda speedrunning" and not "link-time optimization"

#Django is the Superman framework

1. Comes from a small town in Kansas
2. First job was for a newspaper
3. Works for a perfectionist boss with a perpetual deadline

Love his William Holman Hunt allegorical painting for Turing's 1936 paper in which he invents the universal computer, which runs on a single infinitely long piece of tape. I believe the two figures bowing at his feet are the muses of logic and engineering.

Here are four ways I’ve found to solve an nxnxn cube to embed a trefoil knot. Five layers is the smallest cube I’ve been able to put this knot on. On a 9cube, I’ve found solutions that use 2 colors of thread, 2 faces, and a solution that leaves the reverse side solved as solid colors.

A mural celebrating #SciHub on the campus of @unam_mx in #CDMX. Reportedly painted by students without permission. 😲 #StreetArt

Claudia Goldin wins Nobel economics prize for work on gender gap

Wonderful!

I would love to learn more about Claudia Goldin’s contributions than I can glean from the press. Anyone in the know and could point to a great high-level paper of hers I might read? While I’d love to read the 1990 book, that’s more than I have bandwidth for right now.

reuters.com/world/claudia-gold

Apollonial Gasket warped by states of the Cellular Automaton running on it.

Full Musical Version: youtu.be/hPrNtMPuVUM

Shout out to my Patrons who keep me going!

#apollonialgasket #circlepacking #codeart #fractal #cellularautomata #mastoArt #mathArt

When my daughter was 6yo, she figured out that thing where you sneakily stick a note on someone’s back.

But she didn’t know the notes should say things like “kick me.” Instead, she would put space facts on them. She was really into outer space at the time.

One time I felt something on my back, then heard her run off giggling. I reached around, peeled off the little post-it, and found this:

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Wearing this shirt to the faculty retreat today to trigger my colleagues

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