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Mathematical proofs

Table of contents

Article proofs

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Analyticity of holomorphic functions

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Derivation of the Schwarzschild solution

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Dual of BCH is an independent source

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Proofs involving ordinary least squares

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Proofs of convergence of random variables

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Proofs of quadratic reciprocity

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Proofs of trigonometric identities

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Articles containing proofs

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Geometric series

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1/2 + 1/4 + 1/8 + 1/16 + ⋯

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1/2 − 1/4 + 1/8 − 1/16 + ⋯

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1/4 + 1/16 + 1/64 + 1/256 + ⋯

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Activity selection problem

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Analogy of the divided line

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Area of a circle

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Area theorem (conformal mapping)

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Art gallery problem

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Arzelà–Ascoli theorem

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Banach–Alaoglu theorem

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Basu's theorem

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Bessel's correction

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Borel–Carathéodory theorem

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Brahmagupta theorem

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Bretschneider's formula

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Buckingham π theorem

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Casorati–Weierstrass theorem

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Cauchy's theorem (group theory)

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Chebyshev's inequality

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Continuous mapping theorem

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Convolution theorem

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Cramér–Rao bound

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Darboux's theorem (analysis)

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De Moivre's formula

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Delta method

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Dini's theorem

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Discontinuities of monotone functions

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Divergence of the sum of the reciprocals of the primes

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Dominated convergence theorem

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Doob decomposition theorem

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Egorov's theorem

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Elias Bassalygo bound

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Euclid's theorem

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Euclidean algorithm

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Euler's theorem in geometry

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Expected value

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Extreme value theorem

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Fatou–Lebesgue theorem

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Fermat's theorem (stationary points)

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Fermat point

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Frattini's argument

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Frobenius theorem (real division algebras)

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Fubini's theorem

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Fundamental theorem of Riemannian geometry

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Fundamental theorem of calculus

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Gauss's lemma (Riemannian geometry)

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Gilbert–Varshamov bound

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Gordon Pask

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Goursat's lemma

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Gradient theorem

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Green's theorem

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Griesmer bound

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Gödel numbering for sequences

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Hahn decomposition theorem

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Hardy–Littlewood inequality

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Heron's formula

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Heronian triangle

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Hilbert's theorem (differential geometry)

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Hölder's inequality

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IP (complexity)

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Identity theorem

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Infinite monkey theorem

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Integration by substitution

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Intermediate value theorem

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Karamata's inequality

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Kolmogorov's inequality

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Ky Fan inequality

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L'Hôpital's rule

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Lagrange's theorem (group theory)

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Law of tangents

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Law of total covariance

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Law of total variance

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Leibniz formula for π

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Leibniz integral rule

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Lenglart's inequality

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Liouville's theorem (complex analysis)

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Lucas's theorem

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Lusin's theorem

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Markov's inequality

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Mean value theorem

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Median (geometry)

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Neyman–Pearson lemma

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Non-analytic smooth function

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One-seventh area triangle

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Open mapping theorem (complex analysis)

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Open mapping theorem (functional analysis)

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Optional stopping theorem

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Parallelepiped

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Peaucellier–Lipkin linkage

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