We were surprised that the unassembled area didn't depend on the number of puzzle pieces. The intuition is this: if you have a small number of large pieces, the gaps between pieces are big, but this is multiplied by a small total number of pieces, and vice versa for small pieces.
So there you have it: you'll need a puzzle table just under twice as big as your assembled puzzle in order to not resort to the box lid or that random side table. Grab a puzzle and impress your relatives this holiday season with your predictive powers!
@vicgrinberg that green camel has his world turned upside down 🙃
Interesting Nature paper from Google DeepMind on using LLMs for solving mathematical problems that are easy to evaluate but difficult to solve:
https://www.nature.com/articles/s41586-023-06924-6
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.
It is that time in discrete math when I share this video once again.
@caten if you're bio is correct, there seems to be a copy at the University of Denver's library:
@caten
It appears that Open Library does not have a copy but may have relevant links/info:
https://openlibrary.org/books/OL4279716M/Finite_embedding_theorems_for_partial_designs_and_algebras
@tedpavlic they should call UX designers that do this for a living "Dabblers in the dark patterns":
https://en.m.wikipedia.org/wiki/Dark_pattern
https://www.deceptive.design/
@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'
https://www.gutenberg.org/ebooks/41568
@drkatemarvel wrote a somewhat hopeful op-ed
Click the link, not the preview to bypass the paywall.
#Climate #ClimateCrisis #GiftArticle
https://www.nytimes.com/2023/11/18/opinion/climate-change-report-us.html?unlocked_article_code=1._Uw.wyb0.-_l7RGdzmKEW
@peterluschny What I meant by mathematical programming was optimization (https://en.m.wikipedia.org/wiki/Mathematical_optimization). However, I think you're right that the quote is referring to computer programming. I believe this is the letter that contains this quote, in which Dijkstra clearly is referring to computer programming:
https://www.cs.utexas.edu/users/EWD/transcriptions/EWD04xx/EWD498.html
@peterluschny Programming in this context is mathematical programming, not computer programming, correct?
#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
Data Science PhD Student
Likes math, stats, space, and board games (especially Dominion: https://dominion.games/).
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