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Luzin (crater)
Luzin may refer to: * Nikolai Luzin (1883–1950), Russian mathematician ** Lusin's theorem, named after Nikolai Luzin * 5096 Luzin (1983 RC5), a main-belt asteroid * Breiter Luzin, a lake in Mecklenburg-Vorpommern, Germany * Schmaler Luzin Schmaler Luzin ()is a lake in the Mecklenburgische Seenplatte district in Mecklenburg-Vorpommern, Germany Germany, officially the Federal Republic of Germany (FRG),, is a country in Central Europe. It is the most populous member state ..., a lake in Landkreis Mecklenburg-Strelitz, Mecklenburg-Vorpommern, Germany * Luzin (crater), an impact crater on Mars in the Arabia quadrangle See also * Lusin (other) * Luzi {{disambiguation, geo, surname Russian-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nikolai Luzin
Nikolai Nikolaevich Luzin (also spelled Lusin; rus, Никола́й Никола́евич Лу́зин, p=nʲɪkɐˈlaj nʲɪkɐˈlaɪvʲɪtɕ ˈluzʲɪn, a=Ru-Nikilai Nikilayevich Luzin.ogg; 9 December 1883 – 28 January 1950) was a Soviet/Russian mathematician known for his work in descriptive set theory and aspects of mathematical analysis with strong connections to point-set topology. He was the eponym of Luzitania, a loose group of young Moscow mathematicians of the first half of the 1920s. They adopted his set-theoretic orientation, and went on to apply it in other areas of mathematics. Life He started studying mathematics in 1901 at Moscow State University, where his advisor was Dimitri Egorov. He graduated in 1905. Luzin underwent great personal turmoil in the years 1905 and 1906, when his materialistic worldview had collapsed and he found himself close to suicide. In 1906 he wrote to Pavel Florensky, a former fellow mathematics student who was now studying theo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lusin's Theorem
In the mathematical field of real analysis, Lusin's theorem (or Luzin's theorem, named for Nikolai Luzin) or Lusin's criterion states that an almost-everywhere finite function is measurable if and only if it is a continuous function on nearly all its domain. In the informal formulation of J. E. Littlewood, "every measurable function is nearly continuous". Classical statement For an interval 'a'', ''b'' let :f: ,brightarrow \mathbb be a measurable function. Then, for every ''ε'' > 0, there exists a compact ''E'' ⊆ 'a'', ''b''such that ''f'' restricted to ''E'' is continuous and :\mu ( E ) > b - a - \varepsilon. Note that ''E'' inherits the subspace topology from 'a'', ''b'' continuity of ''f'' restricted to ''E'' is defined using this topology. Also for any function ''f'', defined on the interval 'a, b''and almost-everywhere finite, if for any ''ε > 0'' there is a function ''ϕ'', continuous on 'a, b'' such t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
5096 Luzin
5 (five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number. It has attained significance throughout history in part because typical humans have five digits on each hand. In mathematics 5 is the third smallest prime number, and the second super-prime. It is the first safe prime, the first good prime, the first balanced prime, and the first of three known Wilson primes. Five is the second Fermat prime and the third Mersenne prime exponent, as well as the third Catalan number, and the third Sophie Germain prime. Notably, 5 is equal to the sum of the ''only'' consecutive primes, 2 + 3, and is the only number that is part of more than one pair of twin primes, ( 3, 5) and (5, 7). It is also a sexy prime with the fifth prime number and first prime repunit, 11. Five is the third factorial prime, an alternating factorial, and an Eisenstein prime with no imaginary part and real part of the form 3 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Breiter Luzin
Breiter Luzin () is a lake in Mecklenburg-Vorpommern, Germany Germany, officially the Federal Republic of Germany (FRG),, is a country in Central Europe. It is the most populous member state of the European Union. Germany lies between the Baltic and North Sea to the north and the Alps to the sou .... At an elevation of 84.3 m, its surface area is 3.45 km². It is home to an endemic dwarfed whitefish, '' Coregonus lucinensis''. References Lakes of Mecklenburg-Western Pomerania {{Mecklenburg-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schmaler Luzin
Schmaler Luzin ()is a lake in the Mecklenburgische Seenplatte district in Mecklenburg-Vorpommern, Germany Germany, officially the Federal Republic of Germany (FRG),, is a country in Central Europe. It is the most populous member state of the European Union. Germany lies between the Baltic and North Sea to the north and the Alps to the sou .... At an elevation of 84.3 m, its surface area is 1.29 km². External links * Lakes of Mecklenburg-Western Pomerania Nature reserves in Mecklenburg-Western Pomerania {{MecklenburgischeSeenplatte-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luzin (crater)
Luzin may refer to: * Nikolai Luzin (1883–1950), Russian mathematician ** Lusin's theorem, named after Nikolai Luzin * 5096 Luzin (1983 RC5), a main-belt asteroid * Breiter Luzin, a lake in Mecklenburg-Vorpommern, Germany * Schmaler Luzin Schmaler Luzin ()is a lake in the Mecklenburgische Seenplatte district in Mecklenburg-Vorpommern, Germany Germany, officially the Federal Republic of Germany (FRG),, is a country in Central Europe. It is the most populous member state ..., a lake in Landkreis Mecklenburg-Strelitz, Mecklenburg-Vorpommern, Germany * Luzin (crater), an impact crater on Mars in the Arabia quadrangle See also * Lusin (other) * Luzi {{disambiguation, geo, surname Russian-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lusin (other)
Lusin may refer to: * Lu Xun (1881–1936), Chinese writer * Nikolai Luzin Nikolai Nikolaevich Luzin (also spelled Lusin; rus, Никола́й Никола́евич Лу́зин, p=nʲɪkɐˈlaj nʲɪkɐˈlaɪvʲɪtɕ ˈluzʲɪn, a=Ru-Nikilai Nikilayevich Luzin.ogg; 9 December 1883 – 28 January 1950) was a Soviet/R ... (1883–1950), Russian mathematician * Lošinj, an island in Croatia * Luzino, a village in Wejherowo County, Pomeranian Voivodeship, in Poland * "Lusin" (song), by Garik Papoyan and Sona Rubenyan, 2017 See also * Lusina (other) * Lusine, American musician {{disambig, geo Italian-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luzi
Luzi is an Italian surname derived from the Latin noun ''Lux'' (''Lutius'' = Lucius), meaning "light". Notable people with the surname include: People * Bruno Luzi, French football player and manager *Enrico Luzi, Italian actor * Giulia Luzi, Italian actress * Giuseppe Cozza-Luzi, Italian savant * Luzio Luzi, Italian painter * Mario Luzi, Italian poet * Patrice Luzi, French football player * Spiridion Luzi, Greek scholar, diplomat, and politician See also * Lucy * Luce (other) Luce may refer to: People * Luce (name), as a given name and a surname * Luce (singer) Places * Luče, a town in Slovenia * Luce, Minnesota, an unincorporated community * Luce Bay, a large Bay in Wigtownshire in southern Scotland * Luce ... * Luci {{surname Italian-language surnames Latin-language surnames Patronymic surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
