Hilbert's Basis Theorem
Commutative algebra cornerstone. Ascending chain condition.
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Similar Mathematical Theorem
Cayley-Hamilton Theorem
Matrix algebra fundamental result. Computing matrix powers.
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Spectral Theorem
Diagonalization of symmetric matrices. Quantum mechanics foundation.
Fundamental Theorem of Algebra
Guarantees polynomial equations solvable in complex numbers.
Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
Chinese Remainder Theorem
Ancient algorithm. Modern cryptography foundation.
Intermediate Value Theorem
Intuitive but powerful. Guarantees roots exist.
Lagrange's Theorem
Fundamental group theory. Cosets and quotients.
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Discover connections across different types of entities
Equivalence Principle
Foundation of general relativity. Einstein's elevator thought experiment.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Schrödinger on innovation
Schrödinger on innovation
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Newton's Third Law
Action-reaction pairs. Conservation of momentum foundation.
Haskell
Academic functional language. Pure functions and powerful type system. Monads solve IO problem.
Heisenberg Uncertainty Principle
Fundamental limit of measurement. Not about instruments but nature itself.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Einstein on the nature of reality
Einstein on the nature of reality
Whitman on complexity
Whitman on complexity