Hahn-Banach Theorem
Separates convex sets. Foundation of optimization.
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Similar Mathematical Theorem
Squeeze Theorem
Limit technique. Sandwich theorem.
Banach-Tarski Paradox
Uses axiom of choice. Demonstrates measure theory limits.
Divergence Theorem
Gauss theorem. Connects flux and divergence.
Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
Cantor's Theorem
Infinite sets have different sizes. Revolutionized understanding of infinity.
Brouwer Fixed Point Theorem
Every continuous function from ball to itself has fixed point.
Cauchy-Schwarz Inequality
Fundamental inequality. Defines angle in inner product spaces.
Hilbert's Basis Theorem
Commutative algebra cornerstone. Ascending chain condition.
Explore Related Domains
Discover connections across different types of entities
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
Bernoulli's Principle
Explains airplane lift. Venturi effect. Energy conservation in fluids.
Wittgenstein on the limits of language
Wittgenstein on the limits of language
Wien's Displacement Law
Why hot objects change color. λmax = b/T.
Delphic maxim on self-knowledge
Delphic maxim on self-knowledge
Snell's Law
Refraction law. n₁sin(θ₁) = n₂sin(θ₂). Explains lenses.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Ideal Gas Law
Combines Boyle's and Charles' laws. Describes ideal gas behavior.