Kolchin Catenary Conjecture
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Kolchin Catenary Conjecture
Kolchin (Russian: Колчин) is a Russian masculine surname originating from the given name Nikolai (Nicholas); its feminine counterpart is Kolchina. The surname may refer to the following notable people: *Alevtina Kolchina (born 1930), Soviet cross-country skier *Denys Kolchin (born 1977), Ukrainian football defender and manager *Ellis Kolchin (1916–1991), American mathematician **Lie–Kolchin theorem ** Kolchin topology * Fjodor Koltšin (1957–2018), Estonian cross-country skier, son of Alevtina and Pavel * Nataliya Kolchina (born 1939), Soviet long track speed skater * Pavel Kolchin (1930–2010), Soviet cross-country skier, husband of Alevtina *Peter Kolchin Peter Robert Kolchin (born June 3, 1943) is an American historian. He has specialized in slavery and labor in the American South before and after the Civil War, and in comparisons with Russian serfdom and other forms of labor. He won the Bancroft P ... (born 1943), American historian * Yuri Kolchin (born 1976), Russia ...
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Alevtina Kolchina
Alevtina Pavlovna Kolchina (russian: Алевти́на Па́вловна Ко́лчина alternate spelling: Alevtina Koltsjina; 11 November 1930 – 1 March 2022) was a Soviet cross-country skier who competed during the 1950s and 1960s for Burevestnik and later for Dynamo sports societies. She competed in four Winter Olympics, earning a total of five medals. Kolchina also competed several times at the Holmenkollen ski festival, winning three times at 10 km (1961–1963) and once at 5 km (1966). Personal life and death Kolchina was born in the village of Pavlovsk, Ochyorsky District, Perm Oblast, and took up skiing at the age of 13. She was married to four-time Olympic cross country medalist Pavel Kolchin until his death in 2010. In 1973, the family moved to Otepää, where Kolchins worked as national cross-country ski coaches, functionaries and consultants. Their son Fjodor Koltšin placed 15th in the Nordic combined at the 1980 Winter Olympics, competing for t ...
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Denys Kolchin
Denys Kolchin ( uk, Денис Колчін; born 13 October 1977) is a former professional Ukrainian football defender and current football manager of Balkany Zorya. Career He last played for FC Dnister Ovidiopol and worked as a coach of another club from Black Sea region Zhemchuzhyna Odessa. Honours Individual * Ukrainian Second League best coach: 2016–17 See also * 1994 UEFA European Under-16 Championship The 1994 UEFA European Under-16 Championship was the 12th edition of UEFA's European Under-16 Football Championship. Ireland hosted the championship, during April and May 1994. 16 teams entered the competition, and Turkey defeated Denmark in t ... External links * * {{DEFAULTSORT:Kolchin, Denys 1977 births Living people Footballers from Odesa Ukrainian footballers Ukrainian expatriate footballers FC Chornomorets Odesa players FC Chornomorets-2 Odesa players FC Kryvbas Kryvyi Rih players FC Kryvbas-2 Kryvyi Rih players MFC Mykolaiv players FC D ...
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Ellis Kolchin
Ellis Robert Kolchin (April 18, 1916 – October 30, 1991) was an American mathematician at Columbia University. Kolchin earned a doctorate in mathematics from Columbia University in 1941 under supervision of Joseph Ritt. He was awarded a Guggenheim Fellowship in 1954 and 1961. Kolchin worked on differential algebra and its relation to differential equations, and founded the modern theory of linear algebraic groups. His doctoral students include Azriel Rosenfeld and Irving Adler. See also * Kolchin topology * Lie–Kolchin theorem * Picard–Vessiot theory In differential algebra, Picard–Vessiot theory is the study of the differential field extension generated by the solutions of a linear differential equation In mathematics, a linear differential equation is a differential equation that is d ... Publications * * * References * * * * * External links * 1916 births 1991 deaths 20th-century American mathematicians Columbia University alumni Columbia ...
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Lie–Kolchin Theorem
In mathematics, the Lie–Kolchin theorem is a theorem in the representation theory of linear algebraic groups; Lie's theorem is the analog for linear Lie algebras. It states that if ''G'' is a connected and solvable linear algebraic group defined over an algebraically closed field and :\rho\colon G \to GL(V) a representation on a nonzero finite-dimensional vector space ''V'', then there is a one-dimensional linear subspace ''L'' of ''V'' such that : \rho(G)(L) = L. That is, ρ(''G'') has an invariant line ''L'', on which ''G'' therefore acts through a one-dimensional representation. This is equivalent to the statement that ''V'' contains a nonzero vector ''v'' that is a common (simultaneous) eigenvector for all \rho(g), \,\, g \in G . It follows directly that every irreducible finite-dimensional representation of a connected and solvable linear algebraic group ''G'' has dimension one. In fact, this is another way to state the Lie–Kolchin theorem. The result for Lie alg ...
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Kolchin Topology
In mathematics, a differential field ''K'' is differentially closed if every finite system of differential equations with a solution in some differential field extending ''K'' already has a solution in ''K''. This concept was introduced by . Differentially closed fields are the analogues for differential equations of algebraically closed fields for polynomial equations. The theory of differentially closed fields We recall that a differential field is a field equipped with a derivation operator. Let ''K'' be a differential field with derivation operator ∂. *A differential polynomial in ''x'' is a polynomial in the formal expressions ''x'', ∂''x'', ∂2''x'', ... with coefficients in ''K''. *The order of a non-zero differential polynomial in ''x'' is the largest ''n'' such that ∂''n''''x'' occurs in it, or −1 if the differential polynomial is a constant. *The separant ''S''''f'' of a differential polynomial of order ''n''≥0 is the derivative of ''f'' with respect to ...
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Fjodor Koltšin
Fjodor Koltšin (24 February 1957 – 8 April 2018) was an Estonian skier who represented the Soviet Union at the 1980 Winter Olympics. Born in Moscow to Alevtina Kolchina and Pavel Kolchin, Fjodor Koltšin attended the University of Tartu The University of Tartu (UT; et, Tartu Ülikool; la, Universitas Tartuensis) is a university in the city of Tartu in Estonia. It is the national university of Estonia. It is the only classical university in the country, and also its biggest .... He was married to Laive Poska, with whom he had two children. References External links * 1957 births 2018 deaths Soviet male Nordic combined skiers Nordic combined skiers at the 1980 Winter Olympics Olympic Nordic combined skiers of the Soviet Union University of Tartu alumni Skiers from Moscow {{USSR-skijumping-bio-stub ...
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Nataliya Kolchina
Nataliya ( uk, Наталія, russian: Наталия) is the Ukrainian and Russian form of the female given name Natalia. A diminutive form is Natalka ( uk, link=no, Наталка; see: Natalka Poltavka). People with the given name Nataliya *Nataliya Berkut (born 1975), Ukrainian long-distance runner *Nataliya Borysenko (born 1975), Ukrainian team handball player *Nataliya Burdeyna (born 1974), Ukrainian archer *Nataliya Dmytruk (born 1957), former sign language interpreter on the Ukrainian state-run channel UT1 news broadcasts *Nataliya Dobrynska (born 1982), Ukrainian heptathlete *Nataliya Donchenko (1932–2022), Soviet speed skater *Nataliya Gotsiy (born 1985), Ukrainian fashion model *Nataliya Lyapina (born 1976), Ukrainian team handball player * Nataliya Matryuk (born 1959), Ukrainian former handball player * Nataliya Medvedeva (1958–2003), Russian singer, poet and writer *Nataliya Misyulya (born 1966), retired female race walker from Belarus *Nataliya Pohrebnyak (born ...
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Pavel Kolchin
Pavel Konstantinovich Kolchin (sometimes spelled Pavel Koltsjin; russian: Павел Константинович Колчин; 9 January 1930 – 29 December 2010) was a Soviet cross-country skier who competed during the 1950s and 1960s, training at Dynamo in Moscow. He was born in Yaroslavl. He competed in two Winter Olympics, earning a total of four medals. His bronze in the at the 1956 Winter Olympics was the first ever medal awarded to a non-Scandinavian (Finland, Norway, and Sweden) in cross-country skiing. Kolchin also won at the Holmenkollen ski festival, winning both the and events in 1958. His wife, Alevtina Kolchina, was also an Olympic champion in cross-country skiing in 1964. Kolchin also found success was at the FIS Nordic World Ski Championships, where he won three silver medals in 1958 (15 km, 30 km, and 4 x 10 km) and a bronze medal in 1962 (4 x 10 km). Kolchin was awarded Order of the Red Banner of Labour (twice - in 1957 and 1972) a ...
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Peter Kolchin
Peter Robert Kolchin (born June 3, 1943) is an American historian. He has specialized in slavery and labor in the American South before and after the Civil War, and in comparisons with Russian serfdom and other forms of labor. He won the Bancroft Prize in American History and the Avery O. Craven Award for his book ''Unfree Labor: American Slavery and Russian Serfdom'' (1987). Life Born in New York, Peter Kolchin attended local schools. He graduated from Columbia University with an Bachelor of Arts, A.B. in 1964, and conducted graduate work at Johns Hopkins University, where he received a Ph.D. in 1970. His doctoral thesis was entitled ''First Freedom: The Responses of Alabama's Blacks to Emancipation and Reconstruction''. He is a professor at the University of Delaware. Awards * 1988 Bancroft Prize in American History * 1988 Avery O. Craven Award from the Organization of American Historians * Charles Sydnor Award, Southern Historical Association Works * (Revised Ed. 2008, ) * ...
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Yuri Kolchin
Yuri Yevgenyevich Kolchin (russian: Юрий Евгеньевич Колчин; born 22 December 1976 in Krasnodar) is a former Russian football Football is a family of team sports that involve, to varying degrees, kicking a ball to score a goal. Unqualified, the word ''football'' normally means the form of football that is the most popular where the word is used. Sports commonly c ... player. References External links * 1976 births Sportspeople from Krasnodar Living people Russian footballers FC Lada-Tolyatti players Russian Premier League players FC Volga Nizhny Novgorod players Association football midfielders Association football forwards {{Russia-footy-forward-1970s-stub ...
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