Fundamental Theorem of Calculus
Connects differential and integral calculus. Enables calculation of areas and rates.
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Similar Mathematical Theorem
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
Fundamental Theorem of Algebra
Guarantees polynomial equations solvable in complex numbers.
Fundamental Theorem of Arithmetic
Every integer has unique prime factorization. Number theory cornerstone.
Mean Value Theorem
Connects function values to derivative. Fundamental in analysis.
Divergence Theorem
Gauss theorem. Connects flux and divergence.
Lagrange's Theorem
Fundamental group theory. Cosets and quotients.
Green's Theorem
2D version of Stokes theorem. Area calculation.
Euler's Identity
Most beautiful equation. Connects five fundamental constants.
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Discover connections across different types of entities
CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
Schrödinger Equation
Fundamental equation of quantum mechanics. Predicts probability distributions.
Heisenberg Uncertainty Principle
Fundamental limit of measurement. Not about instruments but nature itself.
Coulomb's Law
Like Newton's gravity but for electric charges. Foundation of electrostatics.
Descartes' foundational statement of existence through thought
Descartes' foundational statement of existence through thought
Descartes' Latin formulation of existence
Descartes' Latin formulation of existence
Ampère's Law
Part of Maxwell's equations. Relates current to magnetic field.
Gauss's Law
Part of Maxwell's equations. Relates charge to electric field.