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Nikolai Chebotaryov
Nikolai Grigorievich Chebotaryov (often spelled Chebotarov or Chebotarev, uk, Мико́ла Григо́рович Чеботарьо́в, russian: Никола́й Григо́рьевич Чеботарёв) ( – 2 July 1947) was a Ukrainian and Soviet mathematician. He is best known for the Chebotaryov density theorem. He was a student of Dmitry Grave, a Russian mathematician. Chebotaryov worked on the algebra of polynomials, in particular examining the distribution of the zeros. He also studied Galois theory and wrote a textbook on the subject titled ''Basic Galois Theory''. His ideas were used by Emil Artin to prove the Artin reciprocity law. He worked with his student Anatoly Dorodnov on a generalization of the quadrature of the lune, and proved the conjecture now known as the Chebotaryov theorem on roots of unity. Early life Nikolai Chebotaryov was born on 15 June 1894 in Kamianets-Podilskyi, Russian Empire (now in Ukraine). He entered the department of physics and ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kamianets-Podilskyi
Kamianets-Podilskyi ( uk, Ка́м'яне́ць-Поді́льський, russian: Каменец-Подольский, Kamenets-Podolskiy, pl, Kamieniec Podolski, ro, Camenița, yi, קאַמענעץ־פּאָדאָלסק / קאַמעניץ, Kamenetz-Podolsk / Kamenitz) is a city on the Smotrych River in Western Ukraine, western Ukraine, to the north-east of Chernivtsi. Formerly the administrative center of the Khmelnytskyi Oblast, the city is now the administrative center of the Kamianets-Podilskyi Raion, Kamianets-Podilskyi Raion, district within the Khmelnytskyi Oblast, Khmelnytskyi Oblast, province. It hosts the administration of Kamianets-Podilskyi urban hromada. Current population has been estimated as In 1919–1920, during the unfolding Ukrainian–Soviet War, the city officially served as the temporary capital of the Ukrainian People's Republic. Name The first part of the city's dual name originates from ' ( uk, камiнь) or ', meaning 'stone' in Old East Slav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Emil Artin
Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields. Along with Emmy Noether, he is considered the founder of modern abstract algebra. Early life and education Parents Emil Artin was born in Vienna to parents Emma Maria, née Laura (stage name Clarus), a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of mixed Austrian and Armenian descent. His Armenian last name was Artinian which was shortened to Artin. Several documents, including Emil's birth certificate, list the father's occupation as “opera singer” though others list it as “art dealer.” It seems at least plausible that he and Emma had ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soviet Mathematicians
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national republics; in practice, both its government and its economy were highly centralized until its final years. It was a one-party state governed by the Communist Party of the Soviet Union, with the city of Moscow serving as its capital as well as that of its largest and most populous republic: the Russian SFSR. Other major cities included Leningrad (Russian SFSR), Kiev (Ukrainian SSR), Minsk (Byelorussian SSR), Tashkent (Uzbek SSR), Alma-Ata (Kazakh SSR), and Novosibirsk (Russian SFSR). It was the largest country in the world, covering over and spanning eleven time zones. The country's roots lay in the October Revolution of 1917, when the Bolsheviks, under the leadership of Vladimir Lenin, overthrew the Russian Provisional Government tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ukrainian People Of Russian Descent
Ukrainian may refer to: * Something of, from, or related to Ukraine * Something relating to Ukrainians, an East Slavic people from Eastern Europe * Something relating to demographics of Ukraine in terms of demography and population of Ukraine * Something relating to Ukrainian culture * Ukrainian language, an East Slavic language, the native language of Ukrainians and the official state language of Ukraine * Ukrainian alphabet, a Ukrainian form of Cyrillic alphabet * Ukrainian cuisine See also * Languages of Ukraine * Name of Ukraine * Ukrainian Orthodox Church (other) * Ukrainians (other) * Ukraine (other) * Ukraina (other) * Ukrainia (other) Ukrainia may refer to: * The land of Ukraine, the land of the Kievan Rus * The land of the Ukrainians, an ethnic territory * Montreal ''Ukrainia'', a sports team in Canada * Toronto ''Ukrainia'', a sports team in Canada See also * * Ukraina ... * {{disambiguation Language and nationality ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Kamenets-Podolsky Uyezd
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Kamianets-Podilskyi
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1947 Deaths
It was the first year of the Cold War, which would last until 1991, ending with the dissolution of the Soviet Union. Events January * January–February – Winter of 1946–47 in the United Kingdom: The worst snowfall in the country in the 20th century causes extensive disruption of travel. Given the low ratio of private vehicle ownership at the time, it is mainly remembered in terms of its effects on the railway network. * January 1 - The Canadian Citizenship Act comes into effect. * January 4 – First issue of weekly magazine ''Der Spiegel'' published in Hanover, Germany, edited by Rudolf Augstein. * January 10 – The United Nations adopts a resolution to take control of the free city of Trieste. * January 15 – Elizabeth Short, an aspiring actress nicknamed the "Black Dahlia", is found brutally murdered in a vacant lot in Los Angeles; the mysterious case is never solved. * January 16 – Vincent Auriol is inaugurated as president of France. * January 19 – Ferry ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1894 Births
Events January–March * January 4 – A military alliance is established between the French Third Republic and the Russian Empire. * January 7 – William Kennedy Dickson receives a patent for motion picture film in the United States. * January 9 – New England Telephone and Telegraph installs the first battery-operated telephone switchboard, in Lexington, Massachusetts Lexington is a suburban town in Middlesex County, Massachusetts, United States. It is 10 miles (16 km) from Downtown Boston. The population was 34,454 as of the 2020 census. The area was originally inhabited by Native Americans, and was firs .... * February 12 ** French anarchist Émile Henry (anarchist), Émile Henry sets off a bomb in a Paris café, killing one person and wounding twenty. ** The barque ''Elisabeth Rickmers'' of Bremerhaven is wrecked at Haurvig, Denmark, but all crew and passengers are saved. * February 15 ** In Korea, peasant unrest erupts in the Donghak Peasant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kazan Federal University
Kazan (Volga region) Federal University (russian: Казанский (Приволжский) федеральный университет, tt-Cyrl, Казан (Идел буе) федераль университеты) is a public research university located in Kazan, Russia. Founded in 1804 as Imperial Kazan University, astronomer Nikolai Ivanovich Lobachevsky served there as the rector from 1837 until 1876. In 1929, the university was renamed in honour of its student Vladimir Ilyich Ulyanov (Lenin). The university is known as the birthplace of organic chemistry due to works by Aleksandr Butlerov, Vladimir Markovnikov, Aleksandr Arbuzov, and the birthplace of electron spin resonance discovered by Evgeny Zavoisky. In 2011, Kazan University received a federal status. It is also one of 18 Russian universities that were initially selected to participate in the Project 5-100, coordinated by the Government of the Russian Federation and aimed to improve their international competit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Taras Shevchenko National University Of Kyiv
Kyiv University or Shevchenko University or officially the Taras Shevchenko National University of Kyiv ( uk, Київський національний університет імені Тараса Шевченка), colloquially known as KNU, is located in Kyiv, the capital of Ukraine. The university is universally recognized as the most prestigious university of Ukraine, being the largest national higher education institution. KNU is ranked within top 650 universities in the world. It is the third oldest university in Ukraine after the University of Lviv and University of Kharkiv. Currently, its structure consists of fifteen faculties (academic departments) and five institutes. It was founded in 1834 by the Russian Tsar Nikolai I as the Saint Vladimir Imperial University of Kiev, and since then it has changed its name several times. During the Soviet Union era, Kiev State University was one of the top-three universities in the USSR, along with Moscow State University and Len ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chebotaryov Theorem On Roots Of Unity
The Chebotarev theorem on roots of unity was originally a conjecture made by Ostrowski in the context of lacunary series. Chebotarev was the first to prove it, in the 1930s. This proof involves tools from Galois theory and pleased Ostrowski, who made comments arguing that it "''does meet the requirements of mathematical esthetics''". Several proofs have been proposed since, and it has even been discovered independently by Dieudonné. Statement Let \Omega be a matrix with entries a_ =\omega^,1\leq i,j\leq n , where \omega =e^,n\in \mathbb. If n is prime then any minor of \Omega is non-zero. Equivalently, all submatrices of a DFT matrix of prime length are invertible. Applications In signal processing, the theorem was used by T. Tao to extend the uncertainty principle In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities asserting a fundamental limit to the accuracy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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