Imagine if Euclid had to get funding from Greek aristocrats to do research on Prime Numbers and justified it by claiming that in 2000 years primes would be important for cryptography, a secure Internet and payments.
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Imagine Kitchen Nightmares, except instead of Gordon Ramsay fixing a restaurant, a team shows up with Grok Bot and spends a week transforming a struggling business and making it 100x more efficient.
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The rise of the "solo" researcher on arXiv
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Testing Grok 4.7: I sketched the game literally on the back of an envelope and had it live and playable a few mins later. lightweavegame.com/
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Serre's PhD advisor, Henri Cartan, lived to 104. Cartan’s PhD advisor, Paul Montel, lived to 98. Apparently longevity runs in the mathematical family tree.
Jean-Pierre Serre turns 100. Youngest Fields Medalist ever: 27. First Abel Prize laureate: 2003. and still editing Wikipedia.
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It would be great to build a Grok Bot that does exactly this: figures out the biggest constraint in your business and pings you every week so you know what to focus on.
Elon would tell you to find the bottleneck and attack it relentlessly. What @ZachBDell learned from working with people who worked closely with Elon: “I've learned a lot of this from Antonio Gracias who's on my board and has worked very closely with Elon for decades. Every conversation with Antonio was the same: "Hey Antonio how's it going? "Zach what's your constraint? What's the constraint of the business? And I would just answer the question and that's all we would talk about. What's the constraint? What's the constraint? What's the constraint? Let's just focus all of our time and energy on that. It forces you to focus on the uncomfortable thing. We need to be constantly asking what is constraining us towards our mission? Let's just focus on that. It's incredibly clarifying and uncomfortable. The natural tendency is to talk about all the different things that are going on and all the different opportunities available to you. And the hard thing is to focus on the most important thing, the constraint in-between you and your goal. What constraints can we relieve? That’s really the only thing that matters and all the other stuff is just noise.”
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SpaceX launches vs. kids painting astronauts
I scraped 100 million pictures of kids' drawings, and made them searchable so you can see the trends of the last 20 years walzr.com/kids-trends
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Did not expect this 😳 The app I launched yesterday is already #16 in Health & Fitness worldwide.
A few weeks after our newborns arrived, I kept worrying about getting their bath water temperature right, since newborn skin is so much more sensitive. So I used it as an opportunity to test Grok 4.6 and built a tiny Apple Watch app that checks the water temperature and tells me when it’s too hot or cold. Grok Bot was also surprisingly useful for shipping it: it navigated the App Store submission process through the browser, helped fill out the forms, and even helped answer Apple’s questions during review. It’s now on the App Store. If anyone wants to try it, I’d love feedback. apps.apple.com/us/app/baby-b…
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A few weeks after our newborns arrived, I kept worrying about getting their bath water temperature right, since newborn skin is so much more sensitive. So I used it as an opportunity to test Grok 4.6 and built a tiny Apple Watch app that checks the water temperature and tells me when it’s too hot or cold. Grok Bot was also surprisingly useful for shipping it: it navigated the App Store submission process through the browser, helped fill out the forms, and even helped answer Apple’s questions during review. It’s now on the App Store. If anyone wants to try it, I’d love feedback. apps.apple.com/us/app/baby-b…
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Simple way to find customers using Grok Bot: 1) Use Grok Bot to search for people on X complaining about competitors or looking for alternatives (“Looking for an alternative to...”) 2) Use the @amplemarket connector to learn more about the person + company, then reach out to the poster or people commenting. 3) Turn it into a Grok Bot routine so you get these buying signals every week. The interesting part: you don’t need to guess whether someone has the problem you're solving. They just publicly told you they do. This feels like extremely low-hanging fruit for founders/sales teams.
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Can you guess a football club just from the colours in its club badge? Made this little game this afternoon and it’s surprisingly fun football-logo-pie-quiz.repli…
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Would be great to capture a similar photo of the first Starship heading to Mars. At roughly 1,000 km from Earth, the two could appear about the same size in the sky.
Mars is about 62,000× wider than the International Space Station. Yet in this photo, taken by Tom Glenn in 2020, the ISS appears larger. Here’s why: - The ISS is 109 m across but only ~400 km above Earth, giving it an angular size of roughly 50 arcseconds. - Mars is 6,800 km wide, but was about 62 million km away, giving it an angular size of only ~22 arcseconds. So despite being vastly smaller, the nearby ISS looked larger in the sky. Capturing this photo was not easy: the transit was visible only along a strip of land about 90 meters wide, with the ISS silhouette sweeping across at an equivalent ground speed of 7.4 km/s. Tom Glenn had to be in exactly the right place, point his telescope in exactly the right direction, and nail the timing to a fraction of a millisecond. The final image was extracted from a video frame with an exposure of just 0.00035 seconds.
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Bought a reTerminal E1001 and turned it into an @amplemarket metrics dashboard for my desk. It’s now the dashboard I look at most. There’s something great about your most important numbers just always being there. (Mock HubSpot data - not at $3B ARR yet! )
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Today I learned that Voyager 2 launched before Voyager 1! The names refer to their planned missions, not launch order. - Voyager 2 took a slower trajectory designed to continue past Jupiter and Saturn to Uranus and Neptune, so it had to launch first to hit the required planetary alignment. - Voyager 1 launched later on a faster route to Jupiter and Saturn.
Voyager 2 launched exactly 49 years ago today - 16 days before Voyager 1, which took a faster trajectory and overtook it. Voyager 2 remains the only spacecraft to have visited Uranus and Neptune and is still communicating with Earth from interstellar space, over 13 billion miles away.
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Yesterday’s eclipse stopped roughly 10²⁰ J of solar energy from reaching Earth. That’s ~1 year of global electricity generation! 1,400 W/m² of sunlight × 10¹³ m² (Moon-sized shadow) × ~3 hours (Time Shadow Crossed Earth) ≈ 10²⁰ J The Sun outputs energy on an absurd scale.
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Hilbert wakes up 1,000 years later. “Has the Riemann hypothesis been proven?” “Yes. But there’s something else you should know…” It wasn’t proven by a human.
"If I were to awaken after having slept for a thousand years, my first question would be: Has the Riemann hypothesis been proven?" - David Hilbert
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Testing Grok Imagine 2.0 against other image models: Prompt: "A mathematician drinking from an object of genus 1" ChatGPT gets trapped by the donut analogy: it turns a donut (genus 1) into a mug, accidentally creating an object of genus 2. Grok gets it right: a regular coffee mug already has genus 1.
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Impressed by Imagine 2.0’s ability to follow instructions
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Mathematics is the canary in the coal mine of any education system: It's a delicate pyramid that crumbles if the base is not strong. Using IMO results, here are the countries that improved most from 2006 to 2026 and those that declined the most. Using rank percentile within each year’s field: Most improved 🇸🇦 Saudi Arabia: 2.2% → 69.8% (+67.6pp) 🇲🇾 Malaysia: 22.5% → 83.6% (+61.1pp) 🇰🇬 Kyrgyzstan: 14.6% → 70.7% (+56.1pp) 🇧🇩 Bangladesh: 11.2% → 67.2% (+56.0pp) 🇮🇳 India: 61.8% → 94.8% (+33.0pp) Biggest declines 🇲🇩 Moldova: 91.0% → 55.2% (−35.8pp) 🇮🇹 Italy: 87.6% → 68.1% (−19.5pp) 🇫🇮 Finland: 57.3% → 39.7% (−17.6pp) 🇩🇪 Germany: 96.6% → 83.6% (−13.0pp) 🇹🇼 Taiwan: 89.9% → 80.2% (−9.7pp)
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Fields Medals by country, from 1936 to 2026 China enters the top tier with 2 new medalists in 2026!
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The ideal scenario in education is a 1:1 relationship between a mentor and a motivated student. Everything else is a compromise due to resource constraints.
I'm excited to announce the most ambitious recreation of Bloom's 2Sigma study of the last 40 years. It's funded by @reedhastings and staffed by a team of 20 of the best educators in this country. Our education team's goal is to show the largest academic gains in one year ever recorded, and we'll publish our results even if we fail. Recently, @jwdanner introduced me to @reedhastings. Most people know Reed co-founded Netflix. Fewer know he has been one of the driving forces behind improving education for the last twenty years. When Reed pitched me on recreating Bloom's famous 2-sigma problem, I felt an overwhelming sense of hope for education. Over the last few months we have moved at breakneck speed to assemble an exceptional team. Someone recently described it to me as the "Avengers of education." We are testing one question with the rigor it deserves: can elite one-on-one tutoring reproduce the largest learning gains ever measured in a controlled study? We will work with researchers from Stanford, Brown, Cornell, and other leading institutions, and we intend to be the most transparent research group in the field. That means publishing our methods, our benchmarks, and our results, whatever they show. We will invest up to $100,000 per year per student to give them the best education on the planet. If it works, the data and methods can help educators and technologists recreate these outcomes for every child. We are actively hiring tutors, engineers, and operations people to help us climb this mountain.
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