Lagrange's Theorem
Fundamental group theory. Cosets and quotients.
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Similar Mathematical Theorem
Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
Liouville's Theorem
Complex analysis fundamental. No non-constant bounded entire functions.
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Green's Theorem
2D version of Stokes theorem. Area calculation.
Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Spectral Theorem
Diagonalization of symmetric matrices. Quantum mechanics foundation.
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Discover connections across different types of entities
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Coulomb's Law
Like Newton's gravity but for electric charges. Foundation of electrostatics.
Standard Model
Three generations of quarks and leptons. Higgs boson completes model.
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Descartes' foundational statement of existence through thought
Descartes' foundational statement of existence through thought
Newton's Third Law
Action-reaction pairs. Conservation of momentum foundation.
Pauli Exclusion Principle
Explains periodic table structure. Why matter has volume.
Ampère's Law
Part of Maxwell's equations. Relates current to magnetic field.
Wittgenstein on the limits of language
Wittgenstein on the limits of language