Using quaternions and octonions, I have built a hypothesis that can explain, from nothing but a set of states expressed by ...

Biomedical engineers have synthesized 70 virtual children from published growth charts and distilled 25 paediatric reference ...

Robot swarms classify arena shapes by estimating a global spectral signature from information exchanged between robots.

Claude did not break elliptic curve cryptography, did not compute anyone's private key, and did not render TLS or Bitcoin ...

Clear explanations, guided examples, and step-by-step solutions help students progress from foundational exponent rules to more challenging logarithmic problems. The resource is ideal for classroom ...

AI’s solution to the Navier-Stokes problem, and the details of how it happened, preview a chaotic future for math—and the ...

"Crime in Japan has plummeted over the last 20 years, and the clearance rate has doubled. Japan is becoming an increasingly ...

High-performance brain-computer interfaces (BCIs) rely on stable neural representations, yet brain functional impairments ...