Divergence Theorem
Gauss theorem. Connects flux and divergence.
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Similar Mathematical Theorem
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
Mean Value Theorem
Connects function values to derivative. Fundamental in analysis.
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.
Green's Theorem
2D version of Stokes theorem. Area calculation.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Spectral Theorem
Diagonalization of symmetric matrices. Quantum mechanics foundation.
Liouville's Theorem
Complex analysis fundamental. No non-constant bounded entire functions.
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Gauss's Law
Part of Maxwell's equations. Relates charge to electric field.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Black Hole Thermodynamics
Connects gravity, quantum mechanics, thermodynamics. Bekenstein-Hawking entropy.
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Determinism
Philosophical view that all events are determined by prior causes. Hard determinism denies free will—every …
Bernoulli's Principle
Explains airplane lift. Venturi effect. Energy conservation in fluids.
Hubble's Law
v = H₀d velocity proportional to distance. Evidence for Big Bang.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Fermi's Golden Rule
Predicts decay rates and interaction probabilities in quantum systems.
Wien's Displacement Law
Why hot objects change color. λmax = b/T.