Rolle's Theorem
Special mean value theorem. Critical points existence.
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Similar Mathematical Theorem
Mean Value Theorem
Connects function values to derivative. Fundamental in analysis.
Brouwer Fixed Point Theorem
Every continuous function from ball to itself has fixed point.
Banach-Tarski Paradox
Uses axiom of choice. Demonstrates measure theory limits.
Intermediate Value Theorem
Intuitive but powerful. Guarantees roots exist.
Gödel's Incompleteness Theorems
No system can prove all truths about arithmetic. Limits of formal systems.
Pythagorean Theorem
Relates sides of right triangles. Foundation of geometry and distance.
Squeeze Theorem
Limit technique. Sandwich theorem.
Green's Theorem
2D version of Stokes theorem. Area calculation.
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Discover connections across different types of entities
Snell's Law
Refraction law. n₁sin(θ₁) = n₂sin(θ₂). Explains lenses.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Ideal Gas Law
Combines Boyle's and Charles' laws. Describes ideal gas behavior.
Heisenberg Uncertainty Principle
Fundamental limit of measurement. Not about instruments but nature itself.
All's Well That Ends Well on complexity
All's Well That Ends Well on complexity
Skin in the Game
Taleb's concept that decision-makers should bear consequences of their decisions. Moral hazard when risks and …
The Decisive Moment
Cartier-Bresson's photograph captures a man leaping over a puddle in perfect geometric composition. The work …
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Kierkegaard on temporal paradox
Kierkegaard on temporal paradox