Machines

Rockets, MRI scanners, neural networks — where equations become hardware.

Rocket Engine

Converts propellant exhaust into thrust using conservation of momentum.

Uses magnetic fields and RF pulses; image reconstruction via Fourier methods.

Transmits data via electromagnetic waves governed by Maxwell's equations.

Converts electrical energy to mechanical rotation via electromagnetic forces.

Generates lift through pressure differences and fluid flow.

Internal combustion cycles governed by thermodynamics and mechanics.

Extracts energy from airflow; blade design uses fluid mechanics.

Learns patterns via gradient-based optimization and attention mechanisms.

Signal processing, compression, and wireless — a pocket equation library.

Orbital mechanics and propulsion for Earth observation and comms.

Lift, drag, and control systems for autonomous flight.

Structural loads and stress distribution in civil infrastructure.