Pythagorean Theorem
Relates sides of right triangles. Foundation of geometry and distance.
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Similar Mathematical Theorem
Green's Theorem
2D version of Stokes theorem. Area calculation.
Jordan Curve Theorem
Intuitively obvious but hard to prove. Plane topology.
Prime Number Theorem
Describes distribution of prime numbers. Foundation of number theory.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Bolzano-Weierstrass Theorem
Foundation of analysis. Compactness in real numbers.
Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
Rolle's Theorem
Special mean value theorem. Critical points existence.
Lagrange's Theorem
Fundamental group theory. Cosets and quotients.
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Discover connections across different types of entities
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Snell's Law
Refraction law. n₁sin(θ₁) = n₂sin(θ₂). Explains lenses.
Pyrite
Pyrite fool's gold teaches discernment and true value. This metallic crystal activates solar plexus power …
Hubble's Law
v = H₀d velocity proportional to distance. Evidence for Big Bang.
Einstein on the nature of reality
Einstein on the nature of reality
Yin and Yang
Chinese philosophical concept of complementary opposites in constant dynamic balance. Yin represents feminine, dark, passive, …
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Law of Universal Gravitation
Gravity acts between all masses. Inverse square law. Unified celestial and terrestrial.