Euler's Identity
Most beautiful equation. Connects five fundamental constants.
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Similar Mathematical Theorem
Fundamental Theorem of Algebra
Guarantees polynomial equations solvable in complex numbers.
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
Noether's Theorem
Symmetry implies conservation. Deep physics-mathematics connection.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Poincaré Conjecture
Perelman proved using Ricci flow. Millennium Prize problem.
Divergence Theorem
Gauss theorem. Connects flux and divergence.
Intermediate Value Theorem
Intuitive but powerful. Guarantees roots exist.
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Discover connections across different types of entities
The Fold
Leibnizian-Deleuzian concept of infinite folding as nature's operation. Matter folds infinitely inward; soul unfolds infinitely …
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Maxwell's Equations
Four equations describe all classical electromagnetism. Light is electromagnetic wave.
Gödel Escher Bach
Hofstadter's Pulitzer Prize-winning book explores consciousness, meaning, and self-reference through the work of logician Gödel, …
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Bernoulli's Principle
Explains airplane lift. Venturi effect. Energy conservation in fluids.
Mona Lisa
Leonardo's portrait of Lisa Gherardini represents the pinnacle of Renaissance humanism. The enigmatic smile, sfumato …
Mass-Energy Equivalence
Most famous equation. Mass is concentrated energy. Nuclear power foundation.
Ohm's Law
Most practical electrical law. Linear relationship in conductors.
Snell's Law
Refraction law. n₁sin(θ₁) = n₂sin(θ₂). Explains lenses.