Tychonoff Product
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Tychonoff Product
Tikhonov (; masculine), sometimes spelled as Tychonoff, or Tikhonova (; feminine) is a Russian language, Russian surname that is derived from the male given name Tikhon, the Russian form of the Greek name Τύχων (Latin form: Tycho (other), Tycho), and literally means ''Tikhon's''. It may refer to: People Tikhonov *Alexander Tikhonov (born 1947), Russian biathlete *Alexei Tikhonov, Russian figure skater *Andrey Tikhonov (footballer), Russian football player and coach *Andrey Nikolayevich Tikhonov, Russian mathematician *Ivan Tikhonov, Russian-born Azerbaijani gymnast *, Soviet army officer and List of Heroes of the Soviet Union (T), Hero of the Soviet Union *Mikhail Tikhonov, Soviet soldier and Hero of the Soviet Union *Nikita Tikhonov, suspect in Stanislav Markelov murder case *Nikolai Tikhonov, former Premier of the Soviet Union *Nikolai Tikhonov (cosmonaut), Russian cosmonaut *Nikolai Tikhonov (writer), Russian writer *, Soviet pilot and List of Heroes of the Sovi ...
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Russian Language
Russian is an East Slavic languages, East Slavic language belonging to the Balto-Slavic languages, Balto-Slavic branch of the Indo-European languages, Indo-European language family. It is one of the four extant East Slavic languages, and is the native language of the Russians. It was the ''de facto'' and ''de jure'' De facto#National languages, official language of the former Soviet Union.1977 Soviet Constitution, Constitution and Fundamental Law of the Union of Soviet Socialist Republics, 1977: Section II, Chapter 6, Article 36 Russian has remained an official language of the Russia, Russian Federation, Belarus, Kazakhstan, Kyrgyzstan, and Tajikistan, and is still commonly used as a lingua franca in Ukraine, Moldova, the Caucasus, Central Asia, and to a lesser extent in the Baltic states and Russian language in Israel, Israel. Russian has over 253 million total speakers worldwide. It is the List of languages by number of speakers in Europe, most spoken native language in Eur ...
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Viktor Tikhonov (born 1930)
Viktor Vasilyevich Tikhonov (Russian language, Russian: Виктор Васильевич Тихонов; 4 June 1930 – 24 November 2014) was a Russian ice hockey player and coach. Tikhonov was a defenceman with VVS Moscow and Dynamo Moscow from 1949 to 1963, winning four national championships. He was the coach of the Soviet Union national ice hockey team, Soviet team when it was the dominant team in international play, winning eight Ice Hockey World Championships, World Championship gold medals, as well as Olympic gold medals in 1984, 1988 and 1992. Tikhonov also led CSKA Moscow to twelve consecutive league championships. He was named to the IIHF Hall of Fame as a Builder (ice hockey), builder in 1998. Biography Tikhonov played as a defenceman with the VVS Moscow, VVS (Team of the Soviet Air Force) and HC Dynamo Moscow, Dynamo Moscow. He scored 35 goals in 296 games in the Soviet Championship League, Soviet elite hockey league from 1949 to 1963. He also played for the Soviet ...
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Tychonoff's Theorem
In mathematics, Tychonoff's theorem states that the product of any collection of compact topological spaces is compact with respect to the product topology. The theorem is named after Andrey Nikolayevich Tikhonov (whose surname sometimes is transcribed ''Tychonoff''), who proved it first in 1930 for powers of the closed unit interval and in 1935 stated the full theorem along with the remark that its proof was the same as for the special case. The earliest known published proof is contained in a 1935 article by Tychonoff, . Tychonoff's theorem is often considered as perhaps the single most important result in general topology (along with Urysohn's lemma). The theorem is also valid for topological spaces based on fuzzy sets. Topological definitions The theorem depends crucially upon the precise definitions of compactness and of the product topology; in fact, Tychonoff's 1935 paper defines the product topology for the first time. Conversely, part of its importance is to gi ...
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Tychonoff Space
In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are kinds of topological spaces. These conditions are examples of separation axioms. A Tychonoff space is any completely regular space that is also a Hausdorff space; there exist completely regular spaces that are not Tychonoff (i.e. not Hausdorff). Paul Urysohn had used the notion of completely regular space in a 1925 paper without giving it a name. But it was Andrey Tychonoff who introduced the terminology ''completely regular'' in 1930. Definitions A topological space X is called if points can be separated from closed sets via (bounded) continuous real-valued functions. In technical terms this means: for any closed set A \subseteq X and any point x \in X \setminus A, there exists a real-valued continuous function f : X \to \R such that f(x)=1 and f\vert_ = 0. (Equivalently one can choose any two values instead of 0 and 1 and even require that f be a bounded function.) A to ...
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Tikhonov Regularization
Ridge regression (also known as Tikhonov regularization, named for Andrey Tikhonov) is a method of estimating the coefficients of multiple- regression models in scenarios where the independent variables are highly correlated. It has been used in many fields including econometrics, chemistry, and engineering. It is a method of regularization of ill-posed problems. It is particularly useful to mitigate the problem of multicollinearity in linear regression, which commonly occurs in models with large numbers of parameters. In general, the method provides improved efficiency in parameter estimation problems in exchange for a tolerable amount of bias (see bias–variance tradeoff). The theory was first introduced by Hoerl and Kennard in 1970 in their ''Technometrics'' papers "Ridge regressions: biased estimation of nonorthogonal problems" and "Ridge regressions: applications in nonorthogonal problems". Ridge regression was developed as a possible solution to the imprecision of least s ...
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Tikhonov Distribution
In probability theory and directional statistics, the von Mises distribution (also known as the circular normal distribution or the Tikhonov distribution) is a continuous probability distribution on the circle. It is a close approximation to the wrapped normal distribution, which is the circular analogue of the normal distribution. A freely diffusing angle \theta on a circle is a wrapped normally distributed random variable with an unwrapped variance that grows linearly in time. On the other hand, the von Mises distribution is the stationary distribution of a drift and diffusion process on the circle in a harmonic potential, i.e. with a preferred orientation. The von Mises distribution is the maximum entropy distribution for circular data when the real and imaginary parts of the first circular moment are specified. The von Mises distribution is a special case of the von Mises–Fisher distribution on the ''N''-dimensional sphere. Definition The von Mises probability density ...
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Tamara Tikhonova
Tamara Ivanovna Tikhonova (; born 13 June 1964) is a Soviet-Russian former cross-country skier who competed from 1984 to 1992. She represented the Soviet Union at the 1988 Winter Olympics in Calgary, where she won three medals with golds in the 20 km freestyle and the 4 × 5 km relay, and a silver in the 5 km classical. Tikhonova also won five medals for the Soviet Union at the FIS Nordic World Ski Championships with two golds (4 × 5 km relay: 1985, 1991), one silver (4 × 5 km relay: 1989), and two bronzes (10 km freestyle: 1989, 1991). She was awarded Order of the Red Banner of Labour The Order of the Red Banner of Labour () was an order of the Soviet Union established to honour great deeds and services to the Soviet state and society in the fields of production, science, culture, literature, the arts, education, sports .... Cross-country skiing results All results are sourced from the International Ski Federation (FIS). Olympic Gam ...
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Sofia Tikhonova
Sofia Dmitrievna Tikhonova (; born 16 November 1998) is a Russian ski jumper who has competed at World Cup level since the 2013/14 season. Career Tikhonova's best individual World Cup result is fourth place in Lillehammer on 5 December 2014; her best team result is third in Zaō on 20 January 2018. At the Junior World Championships, she won an individual gold medal and a team silver medal in 2015, individual bronze in 2016, and team silver in 2018. At the Winter Youth Olympics, she won individual silver in 2016. At the European Youth Olympic Festival, she won individual gold and mixed team silver in 2015 2015 was designated by the United Nations as: * International Year of Light * International Year of Soil __TOC__ Events January * January 1 – Lithuania officially adopts the euro as its currency, replacing the litas, and becomes .... References External links * * * 1998 births Living people Skiers from Saint Petersburg Russian female ski j ...
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Nina Tikhonova
Nina Alexandrovna Tikhonova (; 23 February 1910 – 4 January 1995) was a Russian-French ballet dancer and dance teacher, who danced with the Ballets Russes and Les Ballets de Monte-Carlo companies. After retiring from her ballet career, she established her own ballet school in Paris. She was awarded the Ordre des Arts et des Lettres. Early life Nina Alexandrovna Tikhonova was born on 23 February 1910 in Saint Petersburg to writer and publisher Alexander "Serebov" Tikhonov, and Varvara Vassilievna Zubkova, who had previously been married to Anatole Tchaikevitch. Tikhonova's parents' marriage ended after Varvara became the mistress of Maxim Gorky, who was a friend of Tikhonov. The family was separated during the Russian Revolution, and Varvara's children from both marriages lived with their grandmother in Yekaterinburg, before later returning to Saint Petersburg. At the age of 11, Tikhonova and her elder stepbrother Andre Tchaikevitch fled Soviet Russia, taking refuge first in ...
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Katerina Tikhonova
Katerina Vladimirovna Tikhonova ( rus, Катерина Владимировна Тихонова, , kətʲɪˈrʲinə ˈtʲixənəvə, Putina, Путина; born 31 August 1986) is a Russian scientist, manager, and former acrobatic dancer. She is the second daughter of Russian president Vladimir Putin. Tikhonova heads the Innopraktika company, which unites two initiatives of Moscow State University: the National Intellectual Development Foundation (NIDF) and the National Intellectual Reserve Centre (NIRC). She is also deputy director of the Institute for Mathematical Research of Complex Systems at Moscow State University. Early life Tikhonova was born in Dresden, East Germany, the younger of two daughters of Vladimir Putin and Lyudmila Putina (née Shkrebneva). The family moved to Leningrad (now Saint Petersburg) in the spring of 1991. She attended Peterschule (), a German Gymnasium in Saint Petersburg. Later, during violent gang wars involving the Tambov Gang while it w ...
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Anastasia Tikhonova (tennis)
Anastasia Vadimovna Tikhonova (; born 21 January 2001) is a Russian tennis player. Tikhonova has career-high WTA rankings of world No. 151 in singles and No. 104 in doubles. She has won one doubles title on the WTA 125 tournaments, WTA Challenger Tour along with five titles in singles and seventeen in doubles on the ITF Women's World Tennis Tour, ITF Circuit. Career Tikhonova made her main-draw debut on WTA Tour at the 2019 Baltic Open, having been handed a wildcard for the doubles competition, partnering Veronika Pepelyaeva. Her singles WTA Tour debut came at the 2022 Libéma Open – Women's singles, 2022 Rosmalen Championships. Partnering with Jodie Burrage, Tikhonova won the doubles title at the W100 2024 Caldas da Rainha Ladies Open – Doubles, 2024 Caldas da Rainha Ladies Open in Portugal, defeating third seeds Francisca Jorge and Matilde Jorge in straight sets in the final. Performance timeline Singles ''Current through the 2024 Branik Maribor Open.'' WTA Challeng ...
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Vyacheslav Tikhonov
Vyacheslav Vasilyevich Tikhonov (; 8 February 1928 – 4 December 2009) was a Soviet and Russian actor whose best known role was as Soviet spy Stierlitz in the television series ''Seventeen Moments of Spring''. He was a recipient of numerous state awards, including the titles of People's Artist of the USSR (1974) and Hero of Socialist Labour (1982). Biography Tikhonov was born in Pavlovsky Posad near Moscow. His mother was a kindergarten teacher and his father an engineer in the local textile factory. Vyacheslav dreamed of acting but his parents envisioned a different career, and during the war he worked in a munitions factory. After employment as a metal worker, he began raining for anacting career in 1945 by entering, not without difficulty, the Actors’ Faculty of VGIK. After graduating VGIK with honours in 1950, he began his acting career on stage of Theatre Studio of Film Actor, where he worked for six years. In 1948, he married Nonna Mordyukova, a popular actr ...
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