• In measure theory, an area of mathematics, Egorov's theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable...
    19 KB (2,618 words) - 07:42, 1 May 2025
  • Thumbnail for Dmitri Egorov
    Henri Lebesgue in mathematical analysis. A theorem in real analysis and integration theory, Egorov's Theorem, is named after him. Egoroff, D. Th. (1911)...
    6 KB (476 words) - 22:54, 29 October 2024
  • independently from Dmitri Fyodorovich Egorov, proved and published earlier a proof of the theorem now known as Egorov's theorem. He graduated in Mathematics from...
    14 KB (1,324 words) - 19:47, 6 July 2025
  • Disintegration theorem (measure theory) Dominated convergence theorem (Lebesgue integration) Egorov's theorem (measure theory) Fatou–Lebesgue theorem (real analysis)...
    78 KB (6,296 words) - 20:31, 6 July 2025
  • The proof of Lusin's theorem can be found in many classical books. Intuitively, one expects it as a consequence of Egorov's theorem and density of smooth...
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  • measurable sets, the second is based on Lusin's theorem, and the third is based on Egorov's theorem. Littlewood's three principles are quoted in several...
    3 KB (329 words) - 08:29, 29 October 2023
  • Thumbnail for Uniform convergence
    uniformly almost everywhere as might be inferred from the name. However, Egorov's theorem does guarantee that on a finite measure space, a sequence of functions...
    30 KB (5,341 words) - 21:39, 6 May 2025
  • that is, on a subset of the domain whose complement has measure zero. Egorov's theorem states that pointwise convergence almost everywhere on a set of finite...
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  • Thumbnail for List of Russian mathematicians
    Georgy Voronoy, invented the Voronoi diagram Dmitry Yegorov, author of Egorov's Theorem in mathematical analysis Efim Zelmanov, solved the restricted Burnside...
    18 KB (1,744 words) - 06:21, 5 May 2025
  • Georgy Voronoy, invented the Voronoi diagram Dmitry Yegorov, author of Egorov's Theorem in mathematical analysis Efim Zelmanov, solved the restricted Burnside...
    95 KB (9,622 words) - 08:43, 23 June 2025
  • theory and potential theory. In 1947 he proved a generalization of Egorov's theorem: from the early 1950s on, his research interests turned to functional...
    11 KB (926 words) - 03:40, 9 May 2025
  • Thumbnail for List of Russian people
    Georgy Voronoy, invented the Voronoi diagram Dmitry Yegorov, author of Egorov's Theorem in mathematical analysis Efim Zelmanov, solved the restricted Burnside...
    205 KB (22,861 words) - 19:54, 30 June 2025
  • Thumbnail for List of people from Central Italy
    Severini, independently from Dmitri Egorov, proved and published earlier the theorem now known as Egorov's theorem. Francesco Severi (1879–1961), one of...
    69 KB (9,280 words) - 01:21, 27 January 2025
  • Thumbnail for Pavel Nekrasov
    question of the first mathematically strict treatment of the Central Limit Theorem, the discussion and debate with Nekrasov played a significant role (especially...
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  • Thumbnail for Nikolai Luzin
    (2000), no. 1, 64–82. JSTOR 2589382 Denjoy–Luzin theorem Denjoy–Luzin–Saks theorem Lusin's theorem Luzin space Ford, Charles E. (1998-08-01). "The Influence...
    17 KB (2,008 words) - 09:30, 15 July 2025
  • Thumbnail for Pavel Urysohn
    contributions in dimension theory, and for developing Urysohn's metrization theorem and Urysohn's lemma, both of which are fundamental results in topology...
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  • Riker, Adam Przeworski, Richard Posner. According to the median voter theorem governments will tend to produce laws and policies close to the views of...
    183 KB (21,662 words) - 01:55, 28 July 2025
  • Thumbnail for Pavel Alexandrov
    particular, he proved the first general metrization theorem and the famous compactification theorem of any locally compact Hausdorff space by adding a...
    19 KB (1,931 words) - 08:42, 5 July 2025
  • Thumbnail for Lev Pontryagin
    criterion for planar dynamical systems Kuratowski's theorem, also called the Pontryagin–Kuratowski theorem, on planar graphs Pontryagin class Pontryagin duality...
    12 KB (1,032 words) - 17:50, 26 October 2024
  • Thumbnail for Ivan Privalov
    graduated from Moscow State University (MSU) in 1913 studying under Dmitri Egorov and Nikolai Luzin. He obtained his master's degree from MSU in 1916 and...
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  • Thumbnail for Markov chain
    Eugene Onegin, written by Alexander Pushkin, and proved a central limit theorem for such chains. In 1912 Henri Poincaré studied Markov chains on finite...
    96 KB (12,900 words) - 00:06, 27 July 2025
  • included: Соболев, С. (1938), Об одной теореме функционального анализа [On a theorem of functional analysis], Mat. Sb. (in Russian), 4: 471–497. Translated...
    6 KB (566 words) - 03:32, 26 October 2024
  • Thumbnail for List of geometers
    geometry Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem Zeno of Elea (c. 490 BC – c. 430 BC) – Euclidean geometry Hippocrates of...
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  • Rham cohomology. They can be used to formulate a very general Stokes' theorem. Beppo-Levi space Dirac delta function Generalized eigenfunction Distribution...
    18 KB (2,203 words) - 09:42, 17 July 2025
  • Thumbnail for Lazar Lyusternik
    the theory he introduced, together with Lev Schnirelmann, he proved the theorem of the three geodesics, a conjecture by Henri Poincaré that every convex...
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  • Consultants Bureau 1987 (trans. from the Russian by V. M. Volosov) "A theorem on an integral inequality and some of its applications" by V. M. Alekseev...
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  • Thumbnail for Motion (geometry)
    motion may be expressed as a screw displacement according to Chasles' theorem. When the underlying space is a Riemannian manifold, the group of motions...
    11 KB (1,517 words) - 23:24, 7 September 2023
  • students and taught at Lomonosov University. Israel Gelfand and Raikov's 1943 theorem states that a locally compact group G {\displaystyle G} is completely determined...
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  • Thumbnail for Gravity assist
    the planet has a horizontal velocity of v, and by using the Pythagorean Theorem, the spaceship initially has a total velocity of √2v. After the spaceship...
    44 KB (5,019 words) - 02:14, 14 July 2025
  • Thumbnail for Dmitrii Menshov
    Menshov sets. He proved the Rademacher–Menchov theorem, the Looman–Menchoff theorem, and the Lusin–Menchoff theorem. Menshov was an Invited Speaker of the ICM...
    5 KB (401 words) - 01:55, 21 November 2024