Cayley-Hamilton Theorem
Matrix algebra fundamental result. Computing matrix powers.
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Similar Mathematical Theorem
Spectral Theorem
Diagonalization of symmetric matrices. Quantum mechanics foundation.
Hilbert's Basis Theorem
Commutative algebra cornerstone. Ascending chain condition.
Fundamental Theorem of Algebra
Guarantees polynomial equations solvable in complex numbers.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Cauchy-Schwarz Inequality
Fundamental inequality. Defines angle in inner product spaces.
Green's Theorem
2D version of Stokes theorem. Area calculation.
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
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Newton's Second Law
Quantifies force and motion relationship. Predictive power for all classical systems.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Coulomb's Law
Like Newton's gravity but for electric charges. Foundation of electrostatics.
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Newton's Third Law
Action-reaction pairs. Conservation of momentum foundation.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Ampère's Law
Part of Maxwell's equations. Relates current to magnetic field.
Gauss's Law
Part of Maxwell's equations. Relates charge to electric field.