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Mathematical theorems
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Mathematics
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212
Table of contents
212
1. Inequalities
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Mathematical theorems
93
1.1. Probabilistic inequalities
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Inequalities
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1.1.1. Azuma's inequality
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Probabilistic inequalities
1.1.2. BRS-inequality
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Probabilistic inequalities
1.1.3. Bennett's inequality
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Probabilistic inequalities
1.1.4. Bernstein inequalities (probability theory)
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Probabilistic inequalities
1.1.5. Berry–Esseen theorem
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Probabilistic inequalities
1.1.6. Bobkov's inequality
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Probabilistic inequalities
1.1.7. Boole's inequality
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Probabilistic inequalities
1.1.8. Borell–TIS inequality
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Probabilistic inequalities
1.1.9. Cantelli's inequality
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Probabilistic inequalities
1.1.10. Cheeger bound
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Probabilistic inequalities
1.1.11. Chernoff bound
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Probabilistic inequalities
1.1.12. Chung–Erdős inequality
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Probabilistic inequalities
1.1.13. Concentration inequality
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Probabilistic inequalities
1.1.14. Doob's martingale inequality
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Probabilistic inequalities
1.1.15. Doob martingale
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Probabilistic inequalities
1.1.16. Eaton's inequality
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Probabilistic inequalities
1.1.17. Etemadi's inequality
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Probabilistic inequalities
1.1.18. Gauss's inequality
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Probabilistic inequalities
1.1.19. Gaussian isoperimetric inequality
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Probabilistic inequalities
1.1.20. Hoeffding's inequality
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Probabilistic inequalities
1.1.21. Hoeffding's lemma
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Probabilistic inequalities
1.1.22. Hsu–Robbins–Erdős theorem
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Probabilistic inequalities
1.1.23. Janson inequality
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Probabilistic inequalities
1.1.24. Kunita–Watanabe inequality
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Probabilistic inequalities
1.1.25. Le Cam's theorem
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Probabilistic inequalities
1.1.26. Lorden's inequality
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Probabilistic inequalities
1.1.27. Marcinkiewicz–Zygmund inequality
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Probabilistic inequalities
1.1.28. McDiarmid's inequality
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Probabilistic inequalities
1.1.29. Multidimensional Chebyshev's inequality
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Probabilistic inequalities
1.1.30. Paley–Zygmund inequality
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Probabilistic inequalities
1.1.31. Ross's conjecture
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Probabilistic inequalities
1.1.32. Van den Berg–Kesten inequality
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Probabilistic inequalities
1.1.33. Ville's inequality
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Probabilistic inequalities
1.1.34. Vitale's random Brunn–Minkowski inequality
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Probabilistic inequalities
1.1.35. Vysochanskij–Petunin inequality
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Probabilistic inequalities
1.2. Rearrangement inequalities
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Inequalities
1.3. Statistical inequalities
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Inequalities
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1.3.1. Bhatia–Davis inequality
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Statistical inequalities
1.3.2. Binomial sum variance inequality
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Statistical inequalities
1.3.3. Chapman–Robbins bound
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Statistical inequalities
1.3.4. Popoviciu's inequality on variances
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Statistical inequalities
1.3.5. Samuelson's inequality
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Statistical inequalities
1.4. Abel's inequality
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Inequalities
1.5. Babenko–Beckner inequality
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Inequalities
1.6. Bernoulli's inequality
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Inequalities
1.7. Bessel's inequality
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Inequalities
1.8. Bihari–LaSalle inequality
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Inequalities
1.9. CHSH inequality
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Inequalities
1.10. Cohn-Vossen's inequality
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Inequalities
1.11. Diamagnetic inequality
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Inequalities
1.12. Eilenberg's inequality
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Inequalities
1.13. Fannes–Audenaert inequality
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Inequalities
1.14. Fischer's inequality
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Inequalities
1.15. Gagliardo–Nirenberg interpolation inequality
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Inequalities
1.16. Grothendieck inequality
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Inequalities
1.17. Gårding's inequality
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Inequalities
1.18. HM-GM-AM-QM inequalities
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Inequalities
1.19. Hadamard's inequality
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Inequalities
1.20. Hadamard three-circle theorem
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Inequalities
1.21. Hardy's inequality
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Inequalities
1.22. Harnack's inequality
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Inequalities
1.23. Hausdorff–Young inequality
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Inequalities
1.24. Hermite–Hadamard inequality
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Inequalities
1.25. Interpolation inequality
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Inequalities
1.26. Jordan's inequality
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Inequalities
1.27. Kallman–Rota inequality
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Inequalities
1.28. Korn's inequality
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Inequalities
1.29. Kraft–McMillan inequality
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Inequalities
1.30. Ladyzhenskaya's inequality
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Inequalities
1.31. Landau-Mignotte bound
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Inequalities
1.32. Landau–Kolmogorov inequality
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Inequalities
1.33. Lebedev–Milin inequality
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Inequalities
1.34. Levinson's inequality
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Inequalities
1.35. Lieb–Oxford inequality
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Inequalities
1.36. Lieb–Thirring inequality
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Inequalities
1.37. List of inequalities
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Inequalities
1.38. Mashreghi–Ransford inequality
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Inequalities
1.39. Max–min inequality
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Inequalities
1.40. Nesbitt's inequality
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Inequalities
1.41. Noether inequality
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Inequalities
1.42. Pisier–Ringrose inequality
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Inequalities
1.43. Popoviciu's inequality
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Inequalities
1.44. Purchasing power parity
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Inequalities
1.45. Schur test
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Inequalities
1.46. Shapiro inequality
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Inequalities
1.47. Sobolev inequality
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Inequalities
1.48. Three spheres inequality
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Inequalities
1.49. Tupper's self-referential formula
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Inequalities
1.50. Van der Corput inequality
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Inequalities
1.51. Weierstrass product inequality
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Inequalities
1.52. Welch bounds
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Inequalities
1.53. Young's convolution inequality
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Inequalities
2. Lemmas
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Mathematical theorems
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2.1. Covering lemmas
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Lemmas
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2.1.1. Hewitt–Savage zero–one law
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Covering lemmas
2.1.2. Kolmogorov's zero–one law
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Covering lemmas
2.2. Borel–Cantelli lemma
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Lemmas
2.3. Cartan's lemma
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Lemmas
2.4. Covering lemma
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Lemmas
2.5. F. Riesz's theorem
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Lemmas
2.6. Finsler's lemma
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Lemmas
2.7. Hotelling's lemma
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Lemmas
2.8. Knaster–Kuratowski–Mazurkiewicz lemma
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Lemmas
2.9. Liberman's lemma
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Lemmas
2.10. List of lemmas
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Lemmas
2.11. Mackey–Arens theorem
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Lemmas
2.12. Perfect group
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Lemmas
2.13. Schur's lemma (Riemannian geometry)
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Lemmas
2.14. Slepian's lemma
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Lemmas
3. Probability theorems
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Mathematical theorems
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3.1. Theorems regarding stochastic processes
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Probability theorems
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3.1.1. Bruss–Duerinckx theorem
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Theorems regarding stochastic processes
3.1.2. Bussgang theorem
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Theorems regarding stochastic processes
3.1.3. Clark–Ocone theorem
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Theorems regarding stochastic processes
3.1.4. Foster's theorem
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Theorems regarding stochastic processes
3.1.5. Ignatov's theorem
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Theorems regarding stochastic processes
3.1.6. Kolmogorov continuity theorem
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Theorems regarding stochastic processes
3.1.7. Kolmogorov extension theorem
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Theorems regarding stochastic processes
3.2. Characterization of probability distributions
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Probability theorems
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3.2.1. Cochran's theorem
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Characterization of probability distributions
3.2.2. Memorylessness
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Characterization of probability distributions
3.3. Arrival theorem
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Probability theorems
3.4. Bapat–Beg theorem
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Probability theorems
3.5. Bartlett's theorem
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Probability theorems
3.6. Burke's theorem
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Probability theorems
3.7. Cameron–Martin theorem
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Probability theorems
3.8. Campbell's theorem (probability)
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Probability theorems
3.9. Cox's theorem
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Probability theorems
3.10. Cramér's decomposition theorem
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Probability theorems
3.11. Craps principle
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Probability theorems
3.12. Dimension doubling theorem
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Probability theorems
3.13. Disintegration theorem
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Probability theorems
3.14. Donsker's theorem
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Probability theorems
3.15. Doob's martingale convergence theorems
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Probability theorems
3.16. Doob–Dynkin lemma
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Probability theorems
3.17. Doob–Meyer decomposition theorem
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Probability theorems
3.18. Dubins–Schwarz theorem
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Probability theorems
3.19. Dynkin's formula
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Probability theorems
3.20. Engelbert–Schmidt zero–one law
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Probability theorems
3.21. Feldman–Hájek theorem
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Probability theorems
3.22. Gleason's theorem
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Probability theorems
3.23. Glivenko's theorem (probability theory)
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Probability theorems
3.24. Gordon–Newell theorem
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Probability theorems
3.25. Hammersley–Clifford theorem
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Probability theorems
3.26. Helly–Bray theorem
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Probability theorems
3.27. Heyde theorem
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Probability theorems
3.28. Itô–Nisio theorem
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Probability theorems
3.29. Jessen–Wintner theorem
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Probability theorems
3.30. Kakutani's theorem (measure theory)
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Probability theorems
3.31. Kolmogorov's three-series theorem
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Probability theorems
3.32. Kolmogorov's two-series theorem
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Probability theorems
3.33. Kosambi–Karhunen–Loève theorem
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Probability theorems
3.34. Kramkov's optional decomposition theorem
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Probability theorems
3.35. Law of total probability
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Probability theorems
3.36. Lukacs's proportion-sum independence theorem
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Probability theorems
3.37. Lévy's continuity theorem
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Probability theorems
3.38. Lévy's modulus of continuity theorem
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Probability theorems
3.39. Markov–Krein theorem
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Probability theorems
3.40. Martingale representation theorem
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Probability theorems
3.41. Maxwell's theorem
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Probability theorems
3.42. Pickands–Balkema–De Haan theorem
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Probability theorems
3.43. Poisson scatter theorem
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Probability theorems
3.44. Raikov's theorem
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Probability theorems
3.45. Reversed compound agent theorem
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Probability theorems
3.46. Reversible diffusion
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Probability theorems
3.47. Skorokhod's embedding theorem
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Probability theorems
3.48. Skorokhod's representation theorem
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Probability theorems
3.49. Spitzer's formula
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Probability theorems
3.50. Stein's lemma
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Probability theorems
3.51. Structure theorem for Gaussian measures
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Probability theorems
4. Theorems in propositional logic
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Mathematical theorems
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4.1. Consequentia mirabilis
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Theorems in propositional logic
4.2. Idempotency of entailment
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Theorems in propositional logic
4.3. Monotonicity of entailment
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Theorems in propositional logic
4.4. Nicod's axiom
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Theorems in propositional logic
4.5. Reductio ad absurdum
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Theorems in propositional logic
4.6. William of Soissons
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Theorems in propositional logic
5. Theorems in statistics
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Mathematical theorems
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5.1. Bernstein–von Mises theorem
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Theorems in statistics
5.2. Bochner's theorem
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Theorems in statistics
5.3. Fieller's theorem
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Theorems in statistics
5.4. Fisher–Tippett–Gnedenko theorem
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Theorems in statistics
5.5. Gauss–Markov theorem
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Theorems in statistics
5.6. Hájek–Le Cam convolution theorem
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Theorems in statistics
5.7. Kac–Bernstein theorem
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Theorems in statistics
5.8. Law of total cumulance
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Theorems in statistics
5.9. Lehmann–Scheffé theorem
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Theorems in statistics
5.10. Lindeberg's condition
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Theorems in statistics
5.11. Rao–Blackwell theorem
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Theorems in statistics
5.12. Welch–Satterthwaite equation
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Theorems in statistics
6. Uniqueness theorems
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Mathematical theorems
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6.1. Electromagnetism uniqueness theorem
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Uniqueness theorems
6.2. Uniqueness theorem for Poisson's equation
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Uniqueness theorems
7. Alexander–Hirschowitz theorem
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Mathematical theorems
8. Approximate max-flow min-cut theorem
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Mathematical theorems
9. Buchdahl's theorem
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Mathematical theorems
10. Chasles' theorem (kinematics)
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Mathematical theorems
11. Comparison theorem
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Mathematical theorems
12. Darmois–Skitovich theorem
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Mathematical theorems
13. Existence theorem
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Mathematical theorems
14. Gurzadyan theorem
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Mathematical theorems
15. Mathematics of apportionment
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Mathematical theorems
16. No free lunch theorem
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Mathematical theorems
17. Ohsawa–Takegoshi L2 extension theorem
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Mathematical theorems
18. Representation theorem
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Mathematical theorems
19. Shell theorem
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Mathematical theorems
20. Stochastic portfolio theory
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Mathematical theorems
21. Transport theorem
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Mathematical theorems
22. Universal chord theorem
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Mathematical theorems
23. Vincent's theorem
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Mathematical theorems
Ancestors
Mathematics
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