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Mathematical theorems

Table of contents

Inequalities

Probabilistic inequalities

Azuma's inequality

BRS-inequality

Bennett's inequality

Bernstein inequalities (probability theory)

Berry–Esseen theorem

Bobkov's inequality

Boole's inequality

Borell–TIS inequality

Cantelli's inequality

Cheeger bound

Chernoff bound

Chung–Erdős inequality

Concentration inequality

Doob's martingale inequality

Doob martingale

Eaton's inequality

Etemadi's inequality

Gauss's inequality

Gaussian isoperimetric inequality

Hoeffding's inequality

Hoeffding's lemma

Hsu–Robbins–Erdős theorem

Janson inequality

Kunita–Watanabe inequality

Le Cam's theorem

Lorden's inequality

Marcinkiewicz–Zygmund inequality

McDiarmid's inequality

Multidimensional Chebyshev's inequality

Paley–Zygmund inequality

Ross's conjecture

Van den Berg–Kesten inequality

Ville's inequality

Vitale's random Brunn–Minkowski inequality

Vysochanskij–Petunin inequality

Rearrangement inequalities

Statistical inequalities

Bhatia–Davis inequality

Binomial sum variance inequality

Chapman–Robbins bound

Popoviciu's inequality on variances

Samuelson's inequality

Abel's inequality

Babenko–Beckner inequality

Bernoulli's inequality

Bessel's inequality

Bihari–LaSalle inequality

CHSH inequality

Cohn-Vossen's inequality

Diamagnetic inequality

Eilenberg's inequality

Fannes–Audenaert inequality

Fischer's inequality

Gagliardo–Nirenberg interpolation inequality

Grothendieck inequality

Gårding's inequality

HM-GM-AM-QM inequalities

Hadamard's inequality

Hadamard three-circle theorem

Hardy's inequality

Harnack's inequality

Hausdorff–Young inequality

Hermite–Hadamard inequality

Interpolation inequality

Jordan's inequality

Kallman–Rota inequality

Korn's inequality

Kraft–McMillan inequality

Ladyzhenskaya's inequality

Landau-Mignotte bound

Landau–Kolmogorov inequality

Lebedev–Milin inequality

Levinson's inequality

Lieb–Oxford inequality

Lieb–Thirring inequality

List of inequalities

Mashreghi–Ransford inequality

Max–min inequality

Nesbitt's inequality

Noether inequality

Pisier–Ringrose inequality

Popoviciu's inequality

Purchasing power parity

Schur test

Shapiro inequality

Sobolev inequality

Three spheres inequality

Tupper's self-referential formula

Van der Corput inequality

Weierstrass product inequality

Welch bounds

Young's convolution inequality

Lemmas

Covering lemmas

Hewitt–Savage zero–one law

Kolmogorov's zero–one law

Borel–Cantelli lemma

Cartan's lemma

 Ancestors (2)

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