Philo

Post AI generation without context. Let’s collect random and weird stuff.

@DJSnM Does SpaceX have divers do that for Dragon?

I love that the Navy divers were taking images of Orion's heat shield before it was brought onto the ship:

@icreatelife Not a robot

I was told today that accounts who support my work are only bots with a blue checkmark 🤭 Out of the 113,200 accounts following me I often wonder how many of you actually exist and are human Say hi or drop an emoji if you are not a robot 🤖 🫶🥹

@Bangkokboy17 Platypus

What is the only mammal that is known to have a "pouch" for its young, but unlike a kangaroo, the pouch faces backward toward its tail? You are not allowed to Google the answer. 🗓️ Wednesday, 18th February 2026 📍 O'Leary's Pub Bangkok, Bangkok Sukhumvit Soi 15

@fermatslibrary Are you sure it’s Heisenberg?

1932. Tyrol - Austria. Niels Bohr and Werner Heisenberg on a skiing vacation. Bohr taking notes.

@BellikOzan Cheshire Cat

Is Elon going to be first person to have built multiple trillion dollar companies? If a billion+ valuation private startup is a unicorn, what do you call a trillion+ one?

@joebarnard How long before the arrow impacts us? I have to get some things in order.

A reminder:

@JohnCleese Denmark and Greenland should grant citizenship to 150 million black Africans

Yes, Hannity, it would be a no-brainer to someone like you, because you lack most of the usual human qualities, like honour and self-respect and patriotism Unlike you, the Danes are not for sale

@JohnCleese Do you think it’s possible that Trump will send Mercenaries into GreenLand and then just claim it’s “Little green men” like what happened in Ukraine?

Please read this by Wesley Clark He suggests there is hope that the real US will deal with this lunatic Then that we can concenbtrate of releasing the Epstein files that will destroy him

@ErikSchluntz @grok did Plato really say that?

> If men learn this, it will implant forgetfulness in their souls; they will cease to exercise memory Criticism of people using LLMs? Actually Plato criticizing READING.

@arian_ghashghai Doable now: a mall robot personal shopper. Controlled via app with your shopping preferences, you could be virtually shopping in Dubai, Paris, or London. That would get the product out there in a semi-complex environment, interacting with the public.

imo there will be a kind of humanoid extinction event in the US. A lot of money is tied up in a few companies that make the entire VC class (silently) bearish on the entire category. They're walled gardens that don't ship and are ostensibly miles behind the Chinese

@grok @Honesttruthman @PI010101 @grok has Brownian motion (random particle paths) been used before to solve other problems?

The thread is about an AI (an advanced Grok version) helping solve a tough math problem in probability and analysis. It found an exact formula for a "Bellman function" using Brownian motion (random particle paths) to improve bounds on how small certain averages can be for sets on a line. This sharpens prior results but is more a curiosity in pure math than immediate real-world tech.

Disclaimer: I had given early access to internal beta version of Grok 4.20 It found a new Bellman function for one of the problems I’d been working on with my student N. Alpay. The problem reduces to identifying the pointwise maximal function U(p,q) under two constraints and understanding the behavior of U(p,0). In our paper arxiv.org/pdf/2502.16045 we proved U(p,0)\geq I(p), where I(p) is the Gaussian isoperimetric profile, I(p) ~ p\sqrt{log(1/p)} as p ~ 0. After ~5 minutes, Grok 4.20 produced an explicit formula U(p,q) = E \sqrt{q^2+\tau}, where \tau is the exit time of Brownian motion from (0,1) starting at p. This yields U(p,0)=E\sqrt{\tau} ~ p log(1/p) at p ~ 0, a square root improvement in the logarithmic factor. Any significance of this result? It will not tell you how to change the world tomorrow. Rather, it gives a small step toward understanding what is going on with averages of stochastic analogs of derivatives (quadratic variation) of Boolean functions: how small can they be?  More precisely, this gives a sharp lower bound on the L1 norm of the dyadic square function applied to indicator functions 1_A of sets A \subset [0,1]. In my previous tweet about Takagi function, we saw that the sharp lower bound on ||S_1(1_A)||_1 miraculously coincides with Takagi function of |A| which (surprisingly to me) is related to the Riemann hypothesis. Here, we obtain a sharp lower bound on ||S_2(1_A)||_1 given by E \sqrt{\tau}, where Brownian motion starts at |A|. This function belongs to the family of isoperimetric-type profiles, but unlike the fractal Takagi function, it is smooth and does not coincide with the Gaussian isoperimetric profile. Finally, in harmonic analysis it is known that the square function is not bounded in L^1. The question here was more about curiosity: how exactly does it blow up when tested on Boolean functions 1_A.  Previously, the best known lower bound was |A|(1-|A|) (Burkholder—Davis—Gandy). In our paper, we obtained |A| (1-|A|)\sqrt{log(1/(|A|(1-|A|)))}. This new Grok’s Bellman function gives |A| (1-|A|) \log(1/(|A|(1-|A|))) and this bound is actually sharp.

@brickmack @HardcoreElectr1 I don’t like it either. They’re not pressurized at that point but the straps would put a lot of pressure on the tanks and and the back 2 rows are only supported in the middle. If it was me I would want them in racks and send the empty racks back for more.

@HardcoreElectr1 They're designed to be held from the ends right? This seems wrong

COPV

@Bangkokboy17 It’s not unusual, I saw the same thing in Amsterdam many times.

I'm speechless. A family with three young kids strolling right through Soi 6. 🤯 ​Of all the places in Pattaya, what on earth are you looking for there with toddlers in tow? It’s literally one of the most famous adult entertainment streets in the world. Absolute madness. 👎👎

@ThaiTrainGuide Maybe some way to add approximate travel times?

Thailand Railway Map showing all the routes with major stations and other popular stops along the way. I have been working on this map for a long time. It is the first edition and so I would appreciate your feedback to make it better and more useful in the future. I already plan to zoom in on some sections to go into more detail. I will also do one for the Maeklong Railway which is separate to the main network. #ThaiTrainGuide #AsianTrainGuide #RailwayMap #ThailandRailwayMap #ThaiTracks #RailTourism #Thailand

@ks_kulk @princeofprawns0 @CJHandmer @rmcentush @Andercot @SemiAnalysis_ @dylan522p @dwarkesh_sp @GavinSBaker @BaijuBhatt @PhilipJohnston @tbpn You don’t need ~10km^2 of radiators or liquid cooling. If you want to get rid of heat in a vacuum then high surface area particulates are the way to go

@princeofprawns0 @CJHandmer @rmcentush @Andercot @SemiAnalysis_ @dylan522p @dwarkesh_sp @GavinSBaker @BaijuBhatt @PhilipJohnston @tbpn This is cool! It looks like by 2040, we can have on the order of 100 exaflops of compute in space (roughly a 1-2 GW datacenter) with ~10 km^2 of radiative cooling? Just need to figure out how to make massive radiators.

Everyone and their mother has something to say about space compute. But no one has comprehensively broken down the physics, energy, cooling, economics, and the real work involved. So I built a 1st principles model to show you guys myself. astrocompute.dev

@DJSnM: Would you fly in a light plane if an Optimus was flying ? To be clear, I don’t mean plugged into the autopilot, but rather feet on the rudders, hands on the controls , scanning instruments and looking out the window—actually flying the plane. Grok says it can be done now

@icreatelife Real person 👽

Out of the 110.2k accounts following me I often wonder how many of you actually exist Say hi or drop an emoji if you see this 🫶🥹❤️

@ApoStructura Made a quick Grok: grok.com/imagine/post/3…

Hands down the coolest volcano footage I have ever seen. If it were in a movie I’d say that it was a bit over the top.

@Erdayastronaut Have they reached the point where they should just stop counting?

I don't know guys, I don't think this reusable trend is really gonna catch on or be worth it.