francoi8 (u/francoi8)

francoi8 commented on Busy beaver hunters reach numbers that overwhelm ordinary math quantamagazine.org/busy-b... · Posted by u/defrost

wodenokoto · 2 days ago

Numberphile just did a video on subcubic graph numbers which grows much, much faster than Tree numbers.

Do we know if they grow faster than busy beavers?

https://youtu.be/4-eXjTH6Mq4

francoi8 · 2 days ago

Busy Beaver is non computable and grows much faster than the various subcubic graph numbers (you could easily encode a subcubic graph number computation in a relatively small turing machine).

francoi8 commented on Powers of 2 with all even digits oeis.org/A068994... · Posted by u/Hbruz0

IsTom · 5 months ago

It might be finite, but it also has a "fast growing sequence" kind of smell too.

francoi8 · 5 months ago

I wonder if we can get a sense of how fast it would grow if we hypothesize it is an infinite sequence.

And if it is a finite sequence, one could define f(p, n) as the sequence of successive exponents of 2 such that the ratio of even digits over its total number of digits is greater than p. This could be an interesting way of describing a set of fast growing functions from exponential growth (p=0) to arbitrarily fast growth as p grows closer to 1 (or P where P is the smallest number such that f(P, n) is a finite sequence).

francoi8 commented on Mark Zuckerberg explores purchase of Washington DC property ft.com/content/93109ba4-b... · Posted by u/marban

throwanem · 7 months ago

True, we should expect special demands in the maintenance of a monopoly.

francoi8 · 7 months ago

I would say any large corporation should meet higher standards of public benefit.

francoi8 commented on How many holes does the universe have? scientificamerican.com/ar... · Posted by u/Brajeshwar

feoren · a year ago

No, that is a mistaken visualization that comes from embedding the donut in a higher space. No embedding is necessary, nor does anyone think the universe is embedded in anything larger.

Think about PacMan, or the old Asteroids game, where going off one end of the screen would put you on the other side. That's a donut. (The 4 corners of the screen make up the single hole*.) Which "side" is the inside? The question doesn't make sense.

*Edit: as rightly pointed out below, the location of the hole is an arbitrary choice that comes from trying to map the space to a sphere, and does not actually exist anywhere in the space itself.

An interesting experiment is this: imagine yourself existing in the space, which is otherwise empty. PacMan alone in the middle of the screen. Throw a stretchy rope to yourself, horizontally or vertically, catch the other end, and tie it together. Then walk around the space without turning the rope at all. Notice that no matter how you walk around, the rope will always be the same length. Now imagine the same thing on the surface of a sphere. Walking around makes the rope larger or smaller, and there's always a point you can walk to where the rope will completely collapse to a single point.

francoi8 · a year ago

I don't understand why the 4 corners of the screen make up the single hole. You could scroll the screen by 1 "square" which would change the corners which makes me feel there is nothing special about the original four corners.

francoi8 commented on Ask HN: What non-AI products are you working on? · Posted by u/jackedEngineer

francoi8 · a year ago

These past 4 years, I've been working on One Lab https://play.google.com/store/apps/details?id=com.ilixa.onel...

It's a non destructive photo editor with a strong bend towards procedural generation.

Working on a video touch recording feature at the moment.

francoi8 commented on Launch HN: OutSail (YC W23) – Wingsails to reduce cargo ship fuel consumption · Posted by u/jmoorebeek

mousetree · 2 years ago

How do you price the externalities?

francoi8 · 2 years ago

For CO2 at least the average price that it costs to pump the CO2 out of the atmosphere.

francoi8 commented on Bitcoin drops below $18,300 as sell-off accelerates cnbc.com/2022/06/18/bitco... · Posted by u/mfiguiere

hmate9 · 3 years ago

I have no horse in this race but it seems like a lot of people are rooting for as much pain as possible for Bitcoin as that justifies/makes people feel good for missing its bull run.

Also it’s not just Bitcoin falling in a vacuum. The entire US and European stock market is absolute garbage too (housing showing cracks as well) so it’s hard to blame Bitcoin alone although it has undeniable failed as an inflation hedge.

francoi8 · 3 years ago

A lot of people are rooting for Bitcoin to crash so it will stop pumping carbon in the atmosphere like a middle sized country.

francoi8 commented on The Crypto Elites Are Plotting a Wall Street Merger concoda.substack.com/p/th... · Posted by u/ramesh1994

francoi8 · 3 years ago

Unfortunately, it's a sandbox that consumes as much electricity as some mid-sized countries. An absolute obscenity.