the framing is mathematical: at every step, maximize the probability the code is correct given it was accepted. a factory that improves the machine that improves the code. (nexus chain is live, EVM-compatible, ~2 months old)
Vitalik Buterin said mathematically verified software may help protect cryptographic infrastructures as AI improves both code generation and vulnerability discovery.
quantum likes clean mathematical structure.
STARKs were built on the messier, hash-based side of crypto.
@EliBenSasson explains the split in 60 seconds:
The Biot-Savart Law is the mathematical core building block of magnetostatics. It calculates the magnetic field (dB) generated by a steady electric current (I) flowing through an infinitesimal conductor length (dL).
Key components:
> Directly proportional to current and length.
> Inversely proportional to the square of the distance (r²).
> Vector Cross Product: Field direction is perpendicular to both the current and the distance vector.
Essential for engineering solenoids, motors, and MRI machines.
Tesla 10% weekly compounding of @robotaxi miles is mathematically explosive.
7.3wks to double, 1.75 doublings (almost 2) per qtr, 142x in 1yr. The question for Tesla is how long can you maintain a 10% weekly compounding rate & what's the constraint?
Congratulations to the students who competed at the International Mathematical Olympiad (IMO) 2026. 👏
We put Nemotron 3 Ultra to the test to take on the same problems in the same time limit, with no internet or external tools.
The IMO team graded its solutions 30/42, above the 29-point gold threshold. 🥇
Michael Faraday became a legendary physicist despite weak mathematical skills. He relied on experiments and intuition, visualizing electric and magnetic fields.
James Clerk Maxwell later translated Faraday’s physical ideas into powerful equations, showing how intuition and mathematics together shaped modern electromagnetism.