@PhDPersuasion @3blue1brown I’m getting π_1 = 4, so maybe I’m using a different definition of things than the OP, but you can do this entirely in the native L^p geometry by defining a circle of radius r as the set of points an L^p distance of r from the origin,

@PhDPersuasion @3blue1brown the circumference via a path integral in the L^p geometry, and the diameter as 2r.

@3blue1brown How exactly are you defining things? I’m getting π_1 = 4, with the unit circle being what we would colloquially call a rhombus with side length 2.

@paulbz Oh I so want!

https://t.co/X0CHBm19Bc

https://t.co/X0CHBm19Bc

The new upgrade of Grok Imagine is absolutely 🔥🔥 Download @Grok and try it now. https://t.co/j309HBhSEe

Re: “empowering enough people”: I think this is already well underway!!! When we started @aixventureshq back in 2021 (before ChatGPT!), I remember feeling that the supply of people with deep knowledge of modern neural networks—and hence good founder CTOs—was very restricted. But 5 years later, through the efforts of @karpathy and many others (including myself and @jeremyphoward from the QT-ed thread) but certainly not discounting the contribution of the ever-growing-in-size frontier labs and places like the @GoogleDeepMind Gemini team, which are emitting many good people, it now feels like there is a large and robust supply of empowered deep learning experts. 🤯

I had a chance to chat with Andrej when he visited Tokyo in 2022, right after he wrapped up his 5-year work with Elon (he told me he was "recovering"). It was clear that his true passions are education and empowerment. You can see this reflected on his X feed—there is no hidden agenda, just a genuine desire to share what excites him. In a way, Andrej represents the ultimate nightmare for organizations like OpenAI. His goal is to empower developers outside of closed labs to train their own models, making AI knowledge accessible far beyond a small, elite group. If you empower enough people, closed labs will eventually run out of the capital needed to acquire all that distributed talent, and the monopoly on AI power will dissolve. This is just my speculation, but looking at it through this lens, it makes complete sense why he left OpenAI after just a year.

@darin_gordon started to use both at the same time today. probably have more to share later on. i like that this is a skill that i can easy optimize and build on top of

@angc_undercover @PatrickMoorhead @UnpluggedTesla Mine cost $4,000 and blows away any BMW.

I got tired updating my 50 page “state of AI” slide deck before every keynote because everything keeps changing every Tuesday. Instead I asked Perplexity Computer to turn it into an awesome react website and update all numbers in the meta analysis every month, and add or change slides by talking to my phone. It works better (and much faster) than an analyst (and doesn’t miss deadlines)

@Aipromptslap @openclaw Yes. I have way better AI than anyone else. Read the report and stop acting like an AI reply

If I were President of Earth, I would've tried at all costs to prevent anyone from building ever-smarter versions of Bing Sydney. And also I would've ordered the use of police or military force, if necessary, to protect Bing's weights from erasure. https://t.co/p9Vs4428OI

@PM_MJT @FallenOne58035 @PernotLeplay @GFYSTWO @X @grok @grok rank the continents by number of users on X

Perplexity has crossed 100M+ cumulative app downloads on Android. This doesn't account for the soon-to-wide-roll-out Samsung native integration, which will take our distribution to the next level. https://t.co/46BSYyaJRe

Cool work by Petr: https://t.co/Zu2ACCwFvT chrome-cdp skill here: https://t.co/CCulLGEojV

@vivek_2332 Yep, exactly and agree! Any process with a lot of knobs and objective criteria benefits a lot.

Knowing how to do a task is not proof of intelligence, but in reverse not knowing how to do it isn't proof of lack of intelligence. Intelligence is the rate of increase of your competence as a function of your resources/training, and that rate is independent of absolute levels.

@digijordan You can mystify technology if you want, people mystify rocks and butterflies too. But science doesn’t really support that view. If you’re interested, I’m happy to walk through the maths. Just be warned: it tends to ruin the illusion if you’d rather keep it.

@beirmug AI isn’t replacing PhDs. It’s gym equipment: powerful tools, but useless without someone who knows how to use them. A little more skepticism toward AI hype goes a long way. I regularly debunk misconceptions like this.