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Physical Theorem

Wien's Displacement Law

Why hot objects change color. λmax = b/T.

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Discover connections across different types of entities

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Einstein on paradigm shifts

Einstein on paradigm shifts

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Mathematical Theorem

Green's Theorem

2D version of Stokes theorem. Area calculation.

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Mathematical Theorem

Banach-Tarski Paradox

Uses axiom of choice. Demonstrates measure theory limits.

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Mathematical Theorem

Noether's Theorem

Symmetry implies conservation. Deep physics-mathematics connection.

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Mathematical Theorem

Law of Large Numbers

Why statistics works. Foundation of probability theory.

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Mathematical Theorem

Divergence Theorem

Gauss theorem. Connects flux and divergence.

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Mathematical Theorem

Spectral Theorem

Diagonalization of symmetric matrices. Quantum mechanics foundation.

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Einstein on the nature of reality

Einstein on the nature of reality

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Mathematical Theorem

Bolzano-Weierstrass Theorem

Foundation of analysis. Compactness in real numbers.

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Mathematical Theorem

Central Limit Theorem

Why normal distribution ubiquitous. Statistics foundation.

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