Green's Theorem
2D version of Stokes theorem. Area calculation.
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Similar Mathematical Theorem
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
Pythagorean Theorem
Relates sides of right triangles. Foundation of geometry and distance.
Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
Cayley-Hamilton Theorem
Matrix algebra fundamental result. Computing matrix powers.
Divergence Theorem
Gauss theorem. Connects flux and divergence.
Lagrange's Theorem
Fundamental group theory. Cosets and quotients.
Rolle's Theorem
Special mean value theorem. Critical points existence.
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Discover connections across different types of entities
Newton's Second Law
Quantifies force and motion relationship. Predictive power for all classical systems.
Noether's Theorem
Time symmetry gives energy conservation. Space symmetry gives momentum conservation.
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Coulomb's Law
Like Newton's gravity but for electric charges. Foundation of electrostatics.
Hubble's Law
v = H₀d velocity proportional to distance. Evidence for Big Bang.
Gauss's Law
Part of Maxwell's equations. Relates charge to electric field.
Wien's Displacement Law
Why hot objects change color. λmax = b/T.
Ideal Gas Law
Combines Boyle's and Charles' laws. Describes ideal gas behavior.