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Physical Theorem

Gauss's Law

Part of Maxwell's equations. Relates charge to electric field.

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Discover connections across different types of entities

Mathematical Theorem

Divergence Theorem

Gauss theorem. Connects flux and divergence.

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Mathematical Theorem

Law of Large Numbers

Why statistics works. Foundation of probability theory.

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Mathematical Theorem

Noether's Theorem

Symmetry implies conservation. Deep physics-mathematics connection.

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Mathematical Theorem

Green's Theorem

2D version of Stokes theorem. Area calculation.

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Mathematical Theorem

De Moivre's Theorem

Powers of complex numbers. Trigonometry and complex analysis.

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Quote

Einstein on the nature of reality

Einstein on the nature of reality

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Mathematical Theorem

Cayley-Hamilton Theorem

Matrix algebra fundamental result. Computing matrix powers.

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Mathematical Theorem

Stokes' Theorem

Generalizes fundamental theorem of calculus. Differential forms.

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Mathematical Theorem

Spectral Theorem

Diagonalization of symmetric matrices. Quantum mechanics foundation.

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Mathematical Theorem

Euler's Identity

Most beautiful equation. Connects five fundamental constants.

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