Brouwer Fixed Point Theorem
Every continuous function from ball to itself has fixed point.
Your Reaction
Similar Mathematical Theorem
Rolle's Theorem
Special mean value theorem. Critical points existence.
Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
Liouville's Theorem
Complex analysis fundamental. No non-constant bounded entire functions.
Bolzano's Theorem
Special case of intermediate value theorem. Root finding.
Hahn-Banach Theorem
Separates convex sets. Foundation of optimization.
Banach-Tarski Paradox
Uses axiom of choice. Demonstrates measure theory limits.
Divergence Theorem
Gauss theorem. Connects flux and divergence.
Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
Explore Related Domains
Discover connections across different types of entities
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Wien's Displacement Law
Why hot objects change color. λmax = b/T.
All's Well That Ends Well on complexity
All's Well That Ends Well on complexity
Third Law of Thermodynamics
Entropy approaches constant as temperature approaches absolute zero.
Newton's Second Law
Quantifies force and motion relationship. Predictive power for all classical systems.
Archimedes' Principle
Why ships float. Eureka moment. Density and buoyancy.
Bernoulli's Principle
Explains airplane lift. Venturi effect. Energy conservation in fluids.