Luis Batalha 🇵🇹🇺🇸
@luismbatPhysicist. Founded @amplemarket, @fermatslibrary, @orankl_inc
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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.
With 37 decimal digits of π you can already measure the radius of the universe to an accuracy equal to the size of a hydrogen atom
The following formula yields the correct decimal digits of π to 42 billion digits
One interesting effect I've observed while sharing the road with self-driving cars is that road rage persists even when there's no one in the driver's seat
I asked Grok to use Python to recreate James Maxwell's 1873 famous drawing of what the electric potential of 2 charged spheres looks like. From idea to image below in 15 mins.
I just realized that since 3Blue1Brown's animation code is open-source, most LLMs know how to use it! I used @Replit to create this animation of the exponential function in literally 10 seconds.
I asked Grok and ChatGPT for famous physicists born on september 2nd. Grok got it right, but ChatGPT surprisingly struggled big time. Shouldn't this be an easy task for LLMs?
If you’re applying to Y Combinator’s winter batch and need help with the application feel free to DM me. For any startups in Portugal, I’m also happy to meet in person in the next 2 weeks 🇵🇹.
I asked Grok and ChatGPT to guess the Wifi password. ChatGPT solved it numerically, while Grok understood that you can break down the integral into 2 parts: the 1st is an integral of an odd function over [-a,a] (which is 0), and the 2nd is the area of a circle! 🤯
I was really impressed by Grok's ability to convert a page from Feynman's PhD thesis to LaTeX, compared to other LLMs. Imagine being able to feed all the pre-LaTeX era text into an LLM and get a library of well-formatted LaTeX documents!
Damn it, I had just bought it
2¹³⁶²⁷⁹⁸⁴¹−1, discovered today, is the largest known prime. It's a Mersenne prime (2ᵖ-1), which are easier to find. It took nearly 6 years for the GIMPS software to find it after the previous largest known prime. It was also the first Mersenne prime found using GPUs.
Congrats to @demishassabis on the Nobel Prize! A pretty unusual laureate: •💰Wealthiest person to ever win a Nobel (networth +$500M) •🎮Built one of the most successful video games in the early 90's: Theme Park •🧠PhD in Neuroscience •🤖Founded DeepMind and sold it to Google
The irony is that there are countless Math concepts that have been inherited from Physics, but not many that came from Biology. Neural Networks are "the" exception that could turn out to be one of the most important for humankind and also earned a Nobel Prize in ... Physics :)
BREAKING NEWS The Royal Swedish Academy of Sciences has decided to award the 2024 #NobelPrize in Physics to John J. Hopfield and Geoffrey E. Hinton “for foundational discoveries and inventions that enable machine learning with artificial neural networks.”
Someone should build a ultra realistic "Flight Simulator" game in which, instead of a plane, you try to land Apollo's Lunar Module on the Moon. I wonder how many people could do it.
"As a founder, you are the upper bound for how much anyone at your company will care" - @alexandr_wang A universal law in startups, the physics equivalent of "nothing travels faster than light." But here, founders can define the "speed of light" - the limit of how much they care
Every now and then, I encounter a task that I'm surprised to find ChatGPT struggles with.
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Who to follow
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Fermat's Library
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Andrew Ng
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Stephen Wolfram
@stephen_wolfram -
Jürgen Schmidhuber
@SchmidhuberAI -
Analysis Fact
@AnalysisFact -
Demis Hassabis
@demishassabis -
Subir Sachdev
@SubirSachdev -
Jeff Dean (@🏡)
@JeffDean -
Chris Olah
@ch402 -
Steven Strogatz
@stevenstrogatz -
Micael Oliveira
@MicaelOl -
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Nat Friedman
@natfriedman -
Taco Cohen
@TacoCohen -
Gabriel Peyré
@gabrielpeyre
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