Snell's Law
Refraction law. n₁sin(θ₁) = n₂sin(θ₂). Explains lenses.
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Ampère's Law
Part of Maxwell's equations. Relates current to magnetic field.
Coulomb's Law
Like Newton's gravity but for electric charges. Foundation of electrostatics.
Hubble's Law
v = H₀d velocity proportional to distance. Evidence for Big Bang.
Newton's First Law
Law of inertia. Objects resist changes in motion. Foundation of classical mechanics.
Planck's Law
Birth of quantum theory. E = hν. Black body radiation.
Stefan-Boltzmann Law
Hotter objects radiate vastly more energy. Black body radiation.
Newton's Third Law
Action-reaction pairs. Conservation of momentum foundation.
Maxwell's Equations
Four equations describe all classical electromagnetism. Light is electromagnetic wave.
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Discover connections across different types of entities
Pythagorean Theorem
Relates sides of right triangles. Foundation of geometry and distance.
Noether's Theorem
Symmetry implies conservation. Deep physics-mathematics connection.
Spectral Theorem
Diagonalization of symmetric matrices. Quantum mechanics foundation.
Law of Large Numbers
Why statistics works. Foundation of probability theory.
Banach-Tarski Paradox
Uses axiom of choice. Demonstrates measure theory limits.
Euler's Identity
Most beautiful equation. Connects five fundamental constants.
Rolle's Theorem
Special mean value theorem. Critical points existence.
Einstein on the nature of reality
Einstein on the nature of reality