Viewing profile — gukoff

Interesting, thank you for sharing.

Yes, and the standalone formal proof and independent review will follow. By the way, I'd like to note that it will likely be a formalization of not the last result in that conversa…

Apologies for the confusion - the playground had a typo (7 instead of 8) which is fixed now. Now it works as you would expect, and zeroed potentials correspond to a zeroed hexagon.…

Thank you, I'm glad you found it readable on mobile!

Thanks a lot for the detailed perspective! The potential fields are a curious phenomenon. I feel like - and I haven't verified this in any way yet - the smoothness is dictated by t…

You're absolutely right, technically the title should have said "every order other than 2" or "every order larger than 2". The case for 2 is impossible, because it immediately forc…

Interesting observation. That's simply part of the usual definition of a magic square, and it does indeed feel arbitrary once you compare it with the hexagon case, which is very sy…

How do you run these models on AMD GPUs?

Timestamps are conversation metadata and don't need to be fed to the LLM and require tokens.

Draw.io already allows creating editable PNGs and SVGs: it embeds the diagram definition in the image metadata. You can then import this image like you would import any other .draw…

> Prof Penadés' said the tool had in fact done more than successfully replicating his research. > "It's not just that the top hypothesis they provide was the right one," he said. >…

That's very impressive - how do you do this? I also see an IDE screen with the debugger in your other article about telegram - presumably also HTML/CSS

Thank you, this is very interesting

This really depends on the pure strategies that you choose. The initial set of strategies wasn't very diverse and compensated for the binary search "weaknesses" on the ends of the …

Interesting! What about the worst case? And which kinds of strategies did you pick?

I don't view the original problem this way, but let's think about it! > the spread on that surely goes over the 0 line. Do you imagine starting with $1 or $1000? :) Let's add a con…

Thanks for spotting it! Exactly right, I fixed the text.

You can actually do well combining different flavors of binary search! I commented a solution on the parent post if you're curious.

You forget that the quick guesses bring you more than $1! As the original article says, on average you can win $0.20. But that's indeed the upper bound if we speak of the adversari…

Yes, you can counter the adversarial choices and win at least 7 cents per game :) https://gukov.dev/puzzles/math/2024/09/05/steve-ballmer-was-...

He means the last examples about Nintendo.com

Can you adjust vector magnitude prior to the normalization? If the max coordinate C is close enough to 0, divide all coordinates by C.